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Supplementary Figures and Legends
Herbivory
Parasitism
Flower visitation
Decomposition
Microbial respiration
Pathogen damage
Invasion
Bioturbation
Ant activity
Hyperparasitism
Plant species richness
Stan
dard
ized
org
anis
m in
tera
ctio
ns (p
er u
nit o
f spa
ce)
0 10 20 30 40 50 600.0
0.2
0.4
0.6
0.8
1.0
Supplementary Figure 1 | Biodiversity effects on organism interactions. Sample size: N=82 except for hyperparasitism (extrapolated from smaller plots).
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2.56, 1.70Plant Diversity
0.32Herb. Macrofauna
0.88Pred. Macrofauna
0.45Sap. Macrofauna
0.29Dead Biomass
0.22Amoebae
0.72Flagellates
0.83Pred. Nematodes
0.30Microbes
0.57Bacteriv. Nemat.
0.55Herbiv. Nemat.
0.45Root production
0.17Omniv. Nemat.
0.48
Collembola
0.65Mites
0.60Gamasida
0.06
0.05
0.02
0.15
0.040.02
0.02
0.14
-0.14
0.04
0.19
1.55 1.27
-0.29
0.28
0.30
0.35
-2.89
0.18
0.49
-2.29
-0.29
0.28
0.05
Supplementary Figure 2 | Effects of plant species richness on organism abundances in the belowground food web. Sample size: N=82 (missing values replaced by the mean), Chi²= 108.424, df=91 (61 estimated parameters), P=0.103; RMSEA= 0.049, 90%CI=[0;0.08]. The model is the result of a specification search over 50 models that started off with a maximal model (containing all hypothesized relationships), with subsequent deletions of arrows not supported by the data. The model shows unstandardized parameter estimates. The Supplementary Figure shows the minimal adequate model (defined by lowest AIC, BIC and lowest difference between observed and implied covariance matrices). Arrows connecting boxes show structural relationships; parameters next to solid arrows are significant at P≤0.05. Parameter estimates next to dashed arrows are not significant but were retained in the minimal adequate model. Green arrows show significantly positive relationships, red arrows significantly negative ones. Grey arrows and text show error terms. Plant species richness (grey box) was experimentally manipulated. Light blue boxes indicate variables that are linked by at least one solid arrow.
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Supplementary Figure 3 | Effects of plant species richness on all response variables on the original scale. Variables are sorted in alphabetic order. Fitted green and blue lines show 1st and 2nd order local polynomial regressions fit by weighted least squares; black lines show linear regression fits. Note that local polynomial regressions are for illustrative purposes only.
0 10 20 30 40 50 60
500
1000
1500
Plant species richness
Abo
vegr
ound
her
bivo
re a
bund
ance
Degree 1Degree 2Linear
0 10 20 30 40 50 60
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30
40
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80
Plant species richness
Abo
vegr
ound
dea
d pl
ant b
iom
ass
(g/m
²)
Degree 1Degree 2Linear
0 10 20 30 40 50 60
45
50
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60
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75
Plant species richness
Abo
vegr
ound
car
nivo
re s
peci
es ri
chne
ss
Degree 1Degree 2Linear
0 10 20 30 40 50 60
250
300
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500
Plant species richness
Abo
vegr
ound
car
nivo
re a
bund
ance
Degree 1Degree 2Linear
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0 10 20 30 40 50 60
10
15
20
Plant species richness
Abo
vegr
ound
om
nivo
re s
peci
es ri
chne
ss
Degree 1Degree 2Linear
0 10 20 30 40 50 60
20
40
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Plant species richness
Abo
vegr
ound
om
nivo
re a
bund
ance
Degree 1Degree 2Linear
0 10 20 30 40 50 60
0
1
2
3
4
5
Plant species richness
Abo
vegr
ound
hyp
erpa
rasi
toid
abu
ndan
ce
Degree 1Degree 2Linear
0 10 20 30 40 50 60
40
60
80
100
Plant species richness
Abo
vegr
ound
her
bivo
re s
peci
es ri
chne
ss
Degree 1Degree 2Linear
Supplementary Figure 3 (continued)
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0 10 20 30 40 50 60
0
50000
100000
150000
Plant species richness
Am
obae
abu
ndan
ce
Degree 1Degree 2Linear
0 10 20 30 40 50 60
0
100
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Plant species richness
Abo
vegr
ound
pla
nt b
iom
ass
(g/m
²)
Degree 1Degree 2Linear
0 10 20 30 40 50 60
10
15
20
25
30
35
Plant species richness
Abo
vegr
ound
par
asito
id s
peci
es ri
chne
ss
Degree 1Degree 2Linear
0 10 20 30 40 50 60
100
200
300
400
Plant species richness
Abo
vegr
ound
par
asito
id a
bund
ance
Degree 1Degree 2Linear
Supplementary Figure 3 (continued)
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0 10 20 30 40 50 60
0
50
100
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200
Plant species richness
Bio
turb
atio
n (b
urro
ws
per 4
00 m
²)
Degree 1Degree 2Linear
0 10 20 30 40 50 60
0
1
2
3
4
5
6
Plant species richness
Bac
teriv
orou
s ne
mat
ode
spec
ies
richn
ess
Degree 1Degree 2Linear
0 10 20 30 40 50 60
0
20
40
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80
Plant species richness
Bac
teriv
orou
s ne
mat
ode
abun
danc
e
Degree 1Degree 2Linear
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0
2
4
6
8
Plant species richness
Ant
act
ivity
(col
onie
s pe
r 4 m
²)
Degree 1Degree 2Linear
Supplementary Figure 3 (continued)
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0 10 20 30 40 50 60
5000
10000
15000
20000
Plant species richness
Flag
ella
te a
bund
ance
Degree 1Degree 2Linear
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0
2
4
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Plant species richness
Com
mun
ity h
erbi
vory
(per
cent
)
Degree 1Degree 2Linear
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0
2
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Plant species richness
Col
lem
bola
spe
cies
rich
ness
Degree 1Degree 2Linear
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0
20
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100
Plant species richness
Col
lem
bola
abu
ndan
ce
Degree 1Degree 2Linear
Supplementary Figure 3 (continued)
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0 10 20 30 40 50 60
0
1
2
3
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Plant species richness
Her
bivo
rous
mac
rofa
una
spec
ies
richn
ess
Degree 1Degree 2Linear
0 10 20 30 40 50 60
0
5
10
15
Plant species richness
Her
bivo
rous
mac
rofa
una
abun
danc
e
Degree 1Degree 2Linear
0 10 20 30 40 50 60
0
10
20
30
Plant species richness
Gam
asid
a ab
unda
nce
Degree 1Degree 2Linear
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100
Plant species richness
Flow
er v
isito
r fre
quen
cy (v
isits
/6 M
in.)
Degree 1Degree 2Linear
Supplementary Figure 3 (continued)
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0 10 20 30 40 50 60
1
2
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4
Plant species richness
Leaf
are
a in
dex
(m²/m
²)
Degree 1Degree 2Linear
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30
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Plant species richness
Inva
sion
(ind
ivid
uals
/m²)
Degree 1Degree 2Linear
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16
Plant species richness
Inva
der s
peci
es ri
chne
ss
Degree 1Degree 2Linear
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Plant species richness
Inva
der a
bund
ance
Degree 1Degree 2Linear
Supplementary Figure 3 (continued)
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0 10 20 30 40 50 60
0
20
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60
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Plant species richness
Mite
abu
ndan
ce
Degree 1Degree 2Linear
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7
Plant species richness
Mic
robi
al re
spira
tion
(µL
O2
per g
soi
l per
h)
Degree 1Degree 2Linear
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800
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1400
1600
Plant species richness
Mic
robi
al b
iom
ass
(µg
C/g
soi
l)
Degree 1Degree 2Linear
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50
60
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90
Plant species richness
Litte
r dec
ompo
sitio
n (p
erce
nt)
Degree 1Degree 2Linear
Supplementary Figure 3 (continued)
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0 10 20 30 40 50 60
0
10
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30
40
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Plant species richness
Para
sitis
m (p
erce
nt)
Degree 1Degree 2Linear
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0
1
2
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4
5
Plant species richness
Om
nivo
rous
nem
atod
e sp
ecie
s ric
hnes
s
Degree 1Degree 2Linear
0 10 20 30 40 50 60
0
10
20
30
40
Plant species richness
Om
nivo
rous
nem
atod
e ab
unda
nce
Degree 1Degree 2Linear
0 10 20 30 40 50 60
4
6
8
10
12
Plant species richness
Myc
orrh
izal
spe
cies
rich
ness
Degree 1Degree 2Linear
Supplementary Figure 3 (continued)
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0 10 20 30 40 50 60
2
4
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8
10
Plant species richness
Pla
nt−f
eedi
ng n
emat
ode
spec
ies
richn
ess
Degree 1Degree 2Linear
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Plant species richness
Pla
nt−f
eedi
ng n
emat
ode
abun
danc
e
Degree 1Degree 2Linear
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0
1
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5
Plant species richness
Path
ogen
spe
cies
rich
ness
Degree 1Degree 2Linear
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0
1
2
3
4
Plant species richness
Path
ogen
sev
erity
(per
cent
)
Degree 1Degree 2Linear
Supplementary Figure 3 (continued)
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0 10 20 30 40 50 60
0
2
4
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8
10
Plant species richness
Pre
dato
ry m
acro
faun
a sp
ecie
s ric
hnes
s
Degree 1Degree 2Linear
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0
20
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60
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100
Plant species richness
Pre
dato
ry m
acro
faun
a ab
unda
nce
Degree 1Degree 2Linear
0 10 20 30 40 50 60
5
10
15
Plant species richness
Polli
nato
r spe
cies
rich
ness
Degree 1Degree 2Linear
0 10 20 30 40 50 60
0
50
100
150
Plant species richness
Polli
nato
r abu
ndan
ce
Degree 1Degree 2Linear
Supplementary Figure 3 (continued)
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0 10 20 30 40 50 60
0
10
20
30
40
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Plant species richness
Sap
roph
agou
s m
acro
faun
a ab
unda
nce
Degree 1Degree 2Linear
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10
20
30
40
50
Plant species richness
Roo
t len
gth
grow
th (c
m/c
m³ s
oil)
Degree 1Degree 2Linear
0 10 20 30 40 50 60
0.0
0.5
1.0
1.5
2.0
2.5
3.0
Plant species richness
Pre
dato
ry n
emat
ode
spec
ies
richn
ess
Degree 1Degree 2Linear
0 10 20 30 40 50 60
0
5
10
15
20
25
Plant species richness
Pre
dato
ry n
emat
ode
abun
danc
e
Degree 1Degree 2Linear
Supplementary Figure 3 (continued)
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0 10 20 30 40 50 60
0
10
20
30
40
50
60
Plant species richness
Vole
abu
ndan
ce
Degree 1Degree 2Linear
0 10 20 30 40 50 60
0.2
0.4
0.6
0.8
1.0
Plant species richness
See
d pr
edat
ion
(pro
porti
on re
mov
ed)
Degree 1Degree 2Linear
0 10 20 30 40 50 60
0
1
2
3
4
Plant species richness
Sap
roph
agou
s m
acro
faun
a sp
ecie
s ric
hnes
s
Degree 1Degree 2Linear
Supplementary Figure 3 (continued)
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Supplementary Methods
Sampling of aboveground organisms
The population density of small rodents was estimated by placing two Ugglan multiple capture live-traps in each plot, with trapping between June and October 2005 (11 trap-ping sessions). Each trapping session lasted for two trap nights with traps activated in the morning of day 1, and three trap checks in the morning and evening of day 2 and the morning of day 3. Traps were baited with standard rodent feeding pellets and weather-protected by a metal cover. Every individual captured for the first time in a trapping session was etherized and marked individually using transponders (Trovan®). Individuals weighing less than 20 g did not receive a transponder, but were marked using fur-clipping. For every individual capture, we recorded species, body weight, sex, and breeding condition.
The population density and species richness of aboveground invertebrates (including herbivores, carnivores, parasitoids, omnivores and pollinators) were measured in N=50 plots (1, 4, 16, 60 plant species) using an electric suction sampler combined with a bioce-nometer that covered a base area of 0.75 x 0.75 m. In contrast to other approaches (e.g. sweepnetting), the biocenometer method allows volume-specific sampling (i.e. exactly the same biovolume is sampled on every plot, similar to taking a soil core). Thus, our data on aboveground and belowground organism abundances/species richness are highly com-parable. Every plot received six suction samplings that were randomly placed without re-placement. Samples were taken five times per year from May to October (2003 and 2005).
Pollination was estimated as the number of flower visits in subplots per main plot. Flower visits were quantified by counting flower-visiting insects in randomly placed quadrats of 80 x 80 cm per 20x20 m plot. Only N=73 plots containing forbs were observed (i.e. exclud-ing plots containing only wind-pollinated grasses). Flower visitors were counted during six observation periods: 24-25 May 2005, 15-16 June 2005, 18-19 August 2005, 6-9 June 2006, 17-18 June 2006 and 1-5 August 2006. Observations were restricted to sunny days characterized by at least 18°C air temperature, with no or little wind (<2 m s-1), between 09:00 and 17:00 h. Observations within a block were carried out within two days, assuring constant weather conductions within blocks. The sequence of plot observations was inde-pendent of plant richness. We observed pollinating insects for 6 minutes per quadrat, plot and observation period, resulting in a total of 36 minutes per plot. Pollinators were identi-fied directly in the field to genus or morphospecies and species level in the field. After each observation period we collected all unknown species for further identification in the labora-tory.
In addition, we exposed N=164 standardized trap nests made from reed internodes in the exact centre of every plot (N=82). This allowed us to calculate parasitism rate of trap-nesting bees and wasps.
To measure the activity density and species richness of epigeic invertebrates (mainly Carabids, Staphylinids and spiders), two pitfall traps were placed near the centre of each plot (N=50) and replaced six times per year from May to October (2003 and 2005). All spe-cies were identified and their relative population densities (per unit of space) estimated.
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Sampling of belowground organisms
Belowground meso- and macrofauna were sampled twice a year in 2004, 2006 and 2008 from N=82 plots. The subplot positions (2 x 4 m) for sampling were drawn at random. Samples were taken using soil cores of a diameter of 5 and 21 cm for extraction of meso- and macrofauna, respectively. Because most soil animals populate the upper soil layers, the upper 10 cm of the soil cores were used for extraction. Soil animals were extracted over a period of 10 days by heat30.
Earthworm sampling was performed each year in April and October between 2003-2006 on N=46 plots (1, 4 and 16 plant species mixtures) using an electroshocking method31, employing a combination of four octet devices (DEKA 4000, Deka Gerätebau, Marsberg, Germany). Positions for earthworm sampling were randomized once at the beginning of the experiment (2003). Earthworms were extracted from an area of 1 x 1 m.
Nematodes were sampled in autumn 2005 from 5 soil cores (2 cm in diameter, 5 cm deep) taken at a randomized subplot position (2 x 4 m) per plot (N=82). Samples were ho-mogenized, nematodes extracted by a modified wet extraction technique32, counted and determined to species level.
For the quantification of Protozoa (Amoebae and Flagellates), five soil samples were taken on a randomized position on N=12 plots using a metal corer (diameter 5 cm, soil depth ~10 cm) in October 2009. The soil was homogenized and stored at 5 °C until usage. Amoebae and Flagellates were counted using a modified most probable number method33. Briefly, 5 g fresh weight of soil was suspended in 20 mL sterile Neff’s modified amoebae saline (NMAS; see ref.34) and gently shaken for 20 min on a vertical shaker. Threefold di-lution series with nutrient broth (Merck, Darmstadt, Germany) and NMAS at 1:9 v/v were prepared in 96-well microtiter plates (VWR, Darmstadt, Germany) with four replicates, each. The microtiter plates were incubated at 15 °C in darkness and the wells were in-spected for presence of protozoa using an inverted microscope at x 100 and x 200 magni-fication (Nikon, Eclipse TE 2000-E, Tokyo, Japan) after 3, 6 ,11, 19 and 26 days. Densities of protozoa were calculated according to ref.35.
Microbial biomass and respiration were measured from five cores (diameter 5 cm, depth 5 cm) taken on randomized subplot positions (2 x 4 m) per plot in May 2002, 2003, 2004, 2006, 2007 and 2008. Soil samples were homogenized from each plot and microbial respiration and microbial biomass were measured using an O2 microcompensation ap-paratus36. Microbial biomass was determined by the substrate-induced respiration method (SIR; see Ref. 37).
Diversity of arbuscular mycorrhizal fungi was determined by amplification of DNA de-rived directly from soil on a subset of 23 plots. Plots were selected at random, constrained of equal representation of levels of plant species richness. DNA was extracted under utili-zation of FastDNA Spin Kit for Soil (MP Biomedicals, Illkirch, France) according to manu-facturers’ protocol. The internal transcribed spacer (ITS) within the rDNA was amplified by nested PCR (see Ref. 38) using the primer pair LSU-Glom1/ SSU-Glom1 for the first PCR reaction and ITS4/ ITS5 for the second PCR step, Between the PCR steps, an interme-diate AluI digestion was performed to exclude non-mycorrhizal DNA after the first PCR. Cloning, clone fingerprinting by RFLP and sequencing were performed as in Ref. 39. Se-quences were pre-sorted into syngeneic clusters using the contig-tool as implemented in
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Sequencher 4.8 (Gene Codes Corp., Ann Arbor, USA).Closest matches to each sequence cluster were determined using the BLASTN sequence similarity search tool in GenBank40 and used as references. Sequences were pre-aligned in MultAlin41, alignments were cor-rected by hand. The phylogenetic relations were inferred based on the Kimura 2-parameter method42 with the neighbour-joining analysis43 as implemented in PAUP 4.0b8 (see Ref. 44). The confidence of branching was assessed using 1000 bootstrap resamplings. Sequences falling into one clade, and showing sequence identities of at least 92% were regarded as distinct taxa. The cutoff value of 92% was chosen according to Ref. 45 in order to reflect the natural sequence diversity found within and between the spores of the same AMF spe-cies46.
Spatial soil exploitation by roots was assessed with the ingrowth-core technique47. In June 2003, five soil cores (4.8 cm diameter, 30 cm deep) were removed per plot and re-placed by root-free soil from the field site. In September 2003, the initially root-freein-growth cores were removed and the holes were re-filled with root-free soil until the fol-lowing withdrawal in July 2004. To extract the newly formed roots, each in-growth core was first weighed and carefully homogenized. A subsample of 50 g of soil was suspended in water and rinsed over a 0.5-mm screen. Roots collected in the screen were transferred into a water-filled clear acrylic tray and scanned. Total root length was determined from im-ages using WinRhizo (Regent Instruments, Quebec, Canada). Afterwards, root length den-sity (cm root length per cm3 soil volume) was calculated.
Classification of organisms into groups
All organisms collected were classified into functional groups (guilds) based on extensive literature and database searches. Functional groups were defined based on trophic posi-tion (feeding guild) and interaction type (consumers, mutualists, pathogens, decomposers).
Aboveground herbivores: Phytophagous beetles (mainly Chrysomelidae and Curculioni-dae), Leafhoppers (Cicadina), gall-forming and other phytophagous Hymenoptera, phy-tophagous Heteroptera, Grasshoppers (Saltatoria: Acrididae), phytophagous Diptera.
Aboveground carnivores: Zoophagous Hymenoptera (excl. Parasitica), zoophagous beetles (mainly Carabidae and Staphylinidae), Zoophagous Heteroptera, Zoophagous Dip-tera, Spiders (Arachnidae).
Aboveground omnivores: Omnivorous beetles (mainly Staphylinid beetles) and Diptera
Parasitoids: Parasitoid Hymenoptera and Diptera. No parasitoid Coleoptera were found.
Hyperparasitoids: Hyperparasitoid Hymenoptera (mainly Alloxysta sp., Hymenoptera: Cynipidae) and mummy parasitoids (Dendrocerus sp., Hymenoptera: Megaspilidae)
Pollinators: Hymenoptera (mainly Apidae), Diptera (mainly Syrphidae).
Pathogens: Plant-pathogenic fungi of the groups Peronosporaceae (Downy Mildews), Erysiphales (Powdery Mildews), Ustilaginales (Smut diseases) and Uredinales (Rust fun-gi). Further, we included Bacteria and Fungi causing Leafspot diseases.
Invaders: Abundance (dry weight/m²) and species richness of (weedy) plant species not
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present in the pool of 60 plant species present in the Jena Experiment (so-called external invaders).
Belowground microfauna: Amoebae and Flagellates.
Belowground mesofauna: Collembola, Herbivorous Nematodes, Bacterivorous Nema-todes, Fungivorous Nematodes, Omnivorous Nematodes, Oribatid mites, pro- meso- and astigmatic mites.
Saprophagous Macrofauna: Earthworms (Lumbricidae), Isopoda, Diplopoda, Enchytraei-dae
Predatory Macrofauna: Araneida, Geophilidae, Lithobiidae, Carabidae, Staphylinidae, Elateridae, zoophagous insect larvae, Hymenoptera
Herbivorous Macrofauna: Gastropoda, Curculionidae, herbivorous larvae iof Diptera, Symphyla, herbivorous Hemiptera groups.
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Definition and quantification of organism interactions
We included only those interactions between organisms that were directly and quantitative-ly observed in the field (as opposed to correlative approaches where interaction partners are generally unknown). Hence, every interaction considered here contains information about the exact process rates. For example, “decomposition” is the amount of material of known quantity decomposed over a given period of time per unit area.
The specific definitions for each interaction are:
Herbivory: The percentage of intact leaf area of an average sample of each plant com-munity consumed by invertebrate herbivores over a given period of time on subplots of 2 x 4 m, averaged across time. Plant community herbivory was visually estimated in May and August 2003, 2004 and 2005 by sampling a given number of plant individuals along transects through each of the 82 experimental plots and noting the percentage of leaf area eaten by invertebrate herbivores (insects and molluscs).
Parasitism: The percentage of wildbee (Hymenoptera: Apidae) cells parasitized in ar-tificially exposed trap nests (measured in 2005 and 2006). Trap nests consisted of reed internodes cut to a standardized length and enclosed in plastic tubes of c. 14 cm diameter. There were 4 trap nests installed on a wooden post in the middle of each plot; trap nests were installed in early spring each year and removed in autumn, and all reed internodes were checked for colonization by trap-nesting bees, wasps and their natural enemies. We used parasitized wildbee cells because these measurements were performed in all N=82 large plots. Qualitatively similar results were obtained using parasitism rates estimated from aphid mummies.
Hyperparasitism: The percentage of aphid mummies that were parasitized by Hy-menopteran hyperparasitoids. All stationary aphids (including alates within colonies) were counted 4 times (twice before the first mowing, twice after) in c. 3 m x 20 cm transects in 47 small extra plots on all sown plant species (plant species richness here ranged from 1 to 9 plant species). All mummies (parasitized aphids) were collected in the same transect at the same 4 dates and checked for parasitoids and hyperparasitoids. Analyses were per-formed separately from all other data, and lines in Fig. 1 show predicted values extrapolat-ed to more species-rich mixtures. Hyperparasitism was additionally measured in 23 large plots (20 x 20 m) and a binary regression analysis showed qualitatively the same result.
Pollination: The number of flower visits by Dipteran and Hymenopteran pollinators per time interval (6 minutes) visually counted on 0.64 m² subplots in each plot (excluding those plots containing only grasses) in May, June and August 2005 and 2006, averaged over time.
Pathogen severity: The mean percentage of leaf area damaged by plant pathogenic fungi across the whole plant community of every plot. Pathogen infection was visually assessed in 2006 for all species in all 82 large plots. Screening focussed on the pathogen groups downy mildew, powdery mildew, rusts and smuts. In addition, infection of fungal-caused leaf spots was assessed. Fungal pathogen infection was registered for each species per plot as the mean percentage infected individuals per species.
Bioturbation: The number of burrowing holes of the Common Vole (Microtus arvalis)
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found in June and September 2005 in an area of 20 x 20 m on every plot, averaged across time. Activity of other bioturbators (e.g. earthworms) was not assessed, but data on earth-worm densities are available upon request.
Decomposition: The percentage of litter remaining in standardized exposed litter bags per plot after four months of time. Litter of three plant functional groups (grasses, herbs and legumes) was used to establish four litter treatments [grasses (G), herbs (H), legumes (L) and mixed (M)]. Each litterbag contained 3 g dry weight of plant material. Litter of each functional group was obtained by mixing 1 g of senesced litter of three plant species: grasses (Festuca rubra, Lolium perenne, Poa pratensis) (N 2.0%, C:N 22.6), herbs (Cir-sium oleraceum, Daucus carota, Plantago lanceolata) (N 2.3%, C:N 19.6), legumes (Lath-yrus pratensis, Lotus corniculatus, Trifolium repens) (3.0%, C:N 15.5). For the mixed litter treatment we used 3 g dry weight litter (N 2.4%, C:N 19.3) from a homogenous mixture created by mixing all 9 plant species. The litter material was collected from the Jena Ex-periment field site in the previous season (2003), sorted, dried for 3 days at 60 °C and cut into pieces ~ 3 cm in length. Litterbags were built using 4 mm mesh to allow access of soil animals including large earthworms such as Lumbricus terrestris. Litterbags of each of the four litter treatments were placed on the soil surface of four decomposer treatments (re-duced and increased earthworm density, ambient and reduced springtail density) of the 1, 4, 16 plant species diversity plots in February 2004. The litterbags were collected in June 2004, after 4 months of exposure, dried three days at 60 °C and weighed. The percentage of litter remaining in the mixed litter treatment after these four months was used as a mea-sure of decomposition rate. Measurements were performed on plots containing 1, 4 and 16 plant species.
Biological invasion: The population density (individuals per 4 m²) of an invading weedy plant species (Cirsium arvense), measured in 2004 on randomly placed positions in the core area of every plot.
Microbial respiration: Microbial respiration was measured from five cores (diameter 5 cm, depth 5 cm) taken on randomized subplot positions (2 x 4 m) per plot in May 2002, 2003, 2004, 2006, 2007 and 2008. Soil samples were homogenized from each plot and microbial respiration was measured using an O2 microcompensation apparatus36.
Ant activity: Between 4th July 2006 and 16th August 2006, ant colonies were counted in each plot in an area of 4m2. The surface of the plots was searched visually. Every entrance was counted as a measure of colony number. An entrance was defined by the observation of ants passing in and out and by recruiting behaviour occurring when the entrance was disturbed using tweezers.
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Statistical Methods
We used R 2.11.0 (see Ref. 48) for data analyses. In addition, we calculated structural equation models using AMOS 16.0 (SPSS, Inc.). Code printed below refers to R 2.11.0.
General approach
For most of our analyses, we present results on a unified scale [0;1]. This allows direct comparisons of slopes, intercepts and other model parameters across all taxonomic groups.
A small example dataset shall serve to introduce the methodology used; let y1and y2 be carnivore and herbivore abundance, respectively; let x1 be the explanatory variable (plant
species richness). y1´and y2´ are the transformed versions of the response variables y1 and y2. A possible dataset may then look like this:
The slopes of corresponding regression lines are then 10.2 for carnivores or 102 for herbi-vores. On the transformed scale, however, both slopes are exactly 0.34. Thus, standard-izing the response variables to [0;1] reveals that both groups actually respond in exactly the same way to plant species richness. Such a conclusion would, however, not have been possible on the original scale.
Our approach to data analysis consists of four steps:
(1) Standardization of response variables to a unified scale [0...1](2) Separate analysis of every response variable using a common set of 572 linear and nonlinear models per response variable(3) Combined analysis of all response variables using a common power law function(4) Combined multivariate analyses of groups of response variables using (i) multivariate linear models and (ii) structural equation models.
We chose a transformation to range [0,1] rather than a z transformation because (i) the resulting values are easier to compare and to interpret, (ii) because this transformation is more robust than the z transformation 49, and (iii) because information about the variation of variables is lost with the z transformation (all variables having a standard deviation of 1 after transformation).
Note that scaling variables to [0;1] may introduce a bias when dividing by the maximum observed value for each variable, especially if the underlying distributions are skewed. In particular, a large maximum:median ratio could lead to lower values of the exponent z re-ported in power functions. However, the z values calculated by us were based on highly aggregated data, for which the arithmetic mean is likely to be an unbiased estimater of the
x1 y1 y2 y1´ y2´1 10 100 0 02 22 220 0.4 0.43 34 340 0.8 0.84 40 400 1 1
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true population mean.
We additionally ran our analyses using a z transformation and found no principal differ-ences.
Univariate linear and nonlinear models
The set of linear and nonlinear models was carefully chosen from biologically meaningful models:
(1) Linear models containing block, plant species richness, number of plant functional groups, grass and legume presence(2) Saturating non-linear models (Michaelis-Menten, asymptotic regression models, logis-tic regression models)(3) Exponential non-linear models (including biexponential models)(4) Power law models covering a wide range of possible shapes of responses
To make linear and non-linear models comparable, legume presence, grass presence and number of functional groups were included as covariates into the nonlinear models.
If model diagnostic plots showed variance heterogeneity or non-normality of variance, we updated our models using variance functions. In two cases (vertebrate herbivore abun-dance and hyperparasitism rates) we additionally used generalized linear models for anal-ysis50.
Blocks were treated as fixed rather than random effects because there were only four lev-els of blocks, and because treatments were unequally represented within blocks (see Ref. 51 for a similar approach).
We used AICc (Akaike´s Information Criterion, corrected for small sample sizes; see Ref. 52) for model simplification and model selection. Manual deletions of terms from models (comparing models using conditional F-tests) lead to qualitatively very similar results.
Abundances and numbers of distinct species per sample were summed during data aggre-gation. For non-count data (organism interactions), we calculated mean values for every plot. The total sample size was at least 50 for abundance and species richness data, and 82 for organism interactions. For practical reasons, hyperparasitism and belowground pro-For practical reasons, hyperparasitism and belowground pro-tozoa had a smaller sample size. These variables were therefore not included into the mul-tivariate linear models. Every response variable was transformed using a transformation to [0;1] prior to analyses to allow comparisons of model parameters. Vertebrate herbivore abundance was log-transformed before transformation to [o;1] to reduce non-constancy of variance. For every response variable, we set up a set of linear and nonlinear candidate models. In generalized non-linear least squares models, we used variance functions to ac-count for heteroscedasticity. For every response variable, the set of candidate models con-sidered was created using linear and nonlinear models.
To give every model the same chance of being selected, the same principal set of initial models was considered for every response variable in turn.
This makes the overall model selection process entirely reproducible.
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The R code for the general model selection function was:
evaluate.all=function(response=quote(response),DF=quote(DF),i){require(MASS)require(pgirmess)require(nlme)options(width=500,show.error.messages=T)
DF <- cbind(response = DF[[response]], DF)options(show.error.messages=F)L=list( modelname1=try(model.formula1,DF)), modelname2=try(model.formula2,DF)), modelname3=try(model.formula3,DF))
#the full list of model formulae is available upon request #[...] ) L2=Filter(function(x) !inherits(x, "try-error"), L) #to select only those models that converged without errornn=names(L2)
# actual model selection based on AICc: df=data.frame(selMod(L2)) nn=nn[as.numeric(row.names(df))] df=cbind(nn,df)
# return the i´th selected modelselected=which(seq(1:length(nn))==as.numeric(rownames(selMod(L2)))[i])
# return the model formula (this has the structure response~...,data=DF)called=lapply(L2[selected],function(x)x$call)
# Some text replacement to have the correct response variables and dataframes in there:
called=sub("response",response,called)replacevec<-c("newsynthesis.ranged")
called=sub("DF",replacevec,called)
# Finally, return the selected models
returnlist=list(response=response,models=df,selected.model=called,all.models=L2)
return(returnlist)}
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The full list of model formulae used inside the function is available on request.
The gnls() function from the MASS library in R53 was used to fit generalized nonlinear least-squares models that allow for covariates in nonlinear models, and variance heteroscedasticity can be modelled using variance functions.
The try()command prevents the function to exit with an error if initial parameter values do not lead to model convergence. Initial parameter values for nonlinear models were based on previous manual model fitting approaches.The index i allows the i´th model to be extracted from the resulting list of models (ordered by AICc) for manual inspection and modification.
For all models we calculated the number of parameters, log-Likelihood, Akaike´s An Information Criterion, corrected for small sample size (AICc), delta-AICc values and Akaike weights. The five models with lowest AICc values were inspected in detail by plotting model predictions and model diagnostic plots to inspect the variance structure. The model with lowest AICc and highest Akaike weight was taken to be the best model of the subset, with some exceptions where biological knowledge made competing models more likely (for example if theory predicted saturating rather than exponential kinetics).
To allow the reader a full assessment of all competing models, we supply two Excel tables containing all models considered. Model convergence was different for every response variable, and we provide these outputs to allow a precise judgement of which patterns are strongly supported by the data, and which not.
Fitting a more parsimonious unified power law model
Using the evaluate.all() function defined above revealed that 25 out of 54 response variables (i.e. 46%) showed clearly nonlinear relationships with plant species richness (8 exponential, 7 Michaelis-Menten, 10 power law relationships).
For parsimony, we decided to fit a common power law function to all response variables (Adler 1998), covering a broad range of possible non-linear and linear biodiversity effects.
The common power law function used was
y = a + b × sowndiv c
Where y is the response variable, sowdiv is sown plant species richness, and a, b and c are parameters to be estimated from the data.
Note that this model also allows linear models (for c=1) and null models (for c=0).
Because many response variables can be assumed to be zero for zero plant species richness, we excluded the intercept from the model in cases where the c parameter was compared across different response variables (model named Pa4 below).
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The power law models were fitted using the following R code:
evaluate.small=function(response=quote(response),DF=quote(DF)){require(MASS)require(pgirmess)require(nlme)options(width=500,show.error.messages=T)
DF <- cbind(response = DF[[response]], DF)
L=list(Pa1=try(nls(response~a+b*sowndiv^c,start=list(a=1,b=1,c=1),DF)),
Pa2=try(nls(response~a+b*sowndiv,start=list(a=1,b=1),DF)), Pa3=try(nls(response~a+sowndiv^c,start=list(a=1,c=1),DF)), Pa4=try(nls(response~b*sowndiv^c,start=list(b=1,c=1),DF)), Pa5=try(nls(response~sowndiv^c,start=list(c=1),DF)))
L2=Filter(function(x) !inherits(x, "try-error"), L) #to select only those models that converged without errornn=names(L2)
called=lapply(L2[1],function(x)x$call)
params=lapply(L2[1],function(x)summary(x)[10])
summary=lapply(L2[1],function(x)summary(x))
called=sub("response",response,called)replacevec<-c("newsynthesis.ranged")
called=sub("DF",replacevec,called)
returnlist=list(response=response,selected.model=called,all.models=L2,params=params,summary=summary)return(returnlist)}
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Multivariate linear models
Measurements collected on the same 82 plots cannot be considered statistically independent; for example, herbivory and decomposition can be indirectly correlated via faeces of herbivorous insects or induced leaf abscission. Hence, we used multivariate linear models54 to compare the responses of different variables to biodiversity. For parsimony, multivariate linear models consisted of a matrix of response variables, and log (plant species richness) as the only explanatory variable.
We used the log of plant species richness to linearize individual relationships between each response and explanatory variable, and to reduce leverage. The model was fitted like this:
model1<-lm(cbind(response.variable1,response.variable2...)~logdiv)
We constructed three multivariate models, one for organism abundances, one for organism species richness, and one for biotic interactions. The overall output from these models yielded Pillai´s trace and approximate F values cited in the manuscript text.
For every model, we further constructed a matrix of contrast coefficients for the response variables that was used to compare the slopes of the response variables with one another. In all cases, we used so-called successive difference contrasts53.
For example, the successive difference contrasts for a set of 8 response variables was specified using
require(MASS)contr.sdif(8)
In this case, the first comparison is between herbivores and carnivores, the second comparison is between parasitoids and carnivores, and so on.
F- and P-values for each comparison were calculated from the diagonal elements of the resulting hypothesis and error sum of squares-and products matrices (here termed SSPH and SSPE; see also Ref. 54) using the following formulae:
f.value=diag(linhyp$SSPH)/(diag(linhyp1$SSPE)/res.df) p.value=1-pf(f.value,1,res.df)
where linhyp is the linear hypothesis constructed using the matrix of contrast coefficients, and res.df are the residual degrees of freedom of the multivariate linear model under consideration.
Structural equation models
As effects of plant species richness on organism abundances or diversity may also be mediated indirectly, we decided to employ structural equation models (SEMs; see Refs. 55,56) to allow multiple pathways for the effects of plant species richness.
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SEMs are particularly well suited also in an experimental context, i.e. where some variables are deliberately manipulated experimentally (Grace 2006, pp. 233 ff). Further, SEMs "can be used to develop accurate and meaningful final multiple regression models when collinearities among explanatory variables are thought to be present" (see Ref. 57).
We use the following terminology for graphical representations of structural equation models:
y1
x1
y2
ß1;3
ß1;1
ß1;2
ß0;2
ß0;1
ß0;3
Φ12
ε1 ε2
x1, y1 and y2 are observed variables; ß0;1, ß0;2 and ß0;3 are intercepts, ß1;1, ß1;2 and ß1;3 are path coefficients representing directed effects of x1 on y1, y1 on x1, and x1 on y2. ε1 and ε2 are residual errors, and φ12 represents the residual co-variance between ε1 and ε2. The corresponding structural equations are:
ε1~N(0, σ1)ε2~N(0, σ2)
y1=ß0;1+ ß1;1 x1 + ε1x1=ß0;2+ ß1;2 y1 y2=ß0;1+ ß1;3 x1 + ε2,
where x1 is treated as an "explanatory" variable measured without error, and ε1 and ε2 fol-low standard normal distributions N with mean 0 and standard deviations σ1...2.
Because plant species richness was our main experimentally manipulated variable, all SEMs started off with plant species richness and further trophic groups were added both above- and below ground. All "response" variables were log-transformed and scaled to [0;1] before analysis to avoid non-positive definite residual covariance matrices. Plant species richness was log-transformed before analysis to reduce leverage. In essence, we therefore fitted log-log models that were essentially linearized versions of the individual non-linear regression models. Missing values were replaced by the mean. The total sample size was N=50 data points.
This allowed us to use up k<49 degrees of freedom for all SEMs. Hence, with a total of about 50 variables for all above- and belowground organism groups, it was not possible to fit a "complete" above-/belowground food web model.
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We therefore present two types of SEMs:
(1) An above-/belowground SEM incorporating only organism groups with a size of >2mm (macrofauna).
(2) A belowground SEM incorporating only belowground organism groups.
For both types of SEMs, we decided on the initial model by considering published food webs (e.g. Coleman et al. 2003) and collecting expert opinions before the actual model-fitting process. The resulting initial models were then simplified using the "Specification search" command in AMOS 16.0 for Windows XP (SPSS, Inc). The minimal adequate model was considered to be the one that minimized Akaike´s An Information Criterion 58. For the minimal adequate model, the 95% confidence interval of the root mean square error of approximation (RMSEA) was further required to include 0 (see Ref. 59).
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Minimum Median Mean Maximum NDesign variablesGrass presence (1=absent, 2=present) 1 1 1.46 2 82Legume presence (1=absent, 2=present) 1 1 1.48 2 82Small herb presence (1=absent, 2=present) 1 2 1.52 2 82Tall herb presence (1=absent, 2=present) 1 2 1.54 2 82Plant functional group richness (1-4) 1 2 2.12 4 82Sown plant species richness (1-60) 1 4 8.59 60 82
Organism abundancesMicrobial biomass (µg C/g soil) 5.40×102 9.41×102 9.43×102 1.62×103 82Amobae abundance 1.95×103 1.42×104 3.60×104 1.78×105 12Flagellate abundance 2.09×103 9.58×103 1.23×104 1.98×104 12Saprophagous macrofauna abundance 0 7 8.94 51 80Saprophagous mesofauna abundance 0 4 7.51 64 80Herbivorous macrofauna abundance 0 4 4.76 19 80Predatory macrofauna abundance 0 11.5 15.49 101 80Bacterivorous nematode abundance 0 16 18.22 86 73Fungivorous nematode abundance 0 13 17.17 78 73Plant-feeding nematode abundance 2.07 47 60.47 201 73Predatory nematode abundance 0 1 1.84 24.47 73Omnivorous nematode abundance 0 8 10.19 46 73Collembola abundance 0 23 28.1 104 80Mite abundance 0 16.5 21.9 102 80Gamasida abundance 0 3 5.49 38 80Aboveground herbivore abundance 181 609 665.16 1691 50Aboveground carnivore abundance 221.5 343.62 338.33 533.5 50Aboveground omnivore abundance 18.75 49.25 51.17 119.5 50Aboveground parasitoid abundance 48 140 177.6 468 50Aboveground hyperparasitoid abundance 0 1 1.46 5 28Pollinator abundance 6 49 54.98 187 50Invader abundance 11.14 133.14 179.78 815.67 82Vole abundance 0 0.5 6.1 67 82
Supplementary Tables
Supplementary Table 1 | Summaries of response variables on original scale. Statistical summaries and units of measurement for the response variables used in this study on their original scale. The values of each observation yi on the transformed scale can easily be computed using this table and the formula: y´=(yi-ymin)/(ymax-ymin). For example, a herbivory value of 3% corresponds to (3-0.02)/(9.48-0.02) = 2.98/9.46=0.32 on the transformed scale. N is the number of plots with non-missing values (sample size).
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Minimum Median Mean Maximum NOrganism species richnessMycorrhizal species richness 3 8 7.4 12 77Saprophagous macrofauna species rich-ness
0 2 1.94 4 80
Saprophagous mesofauna species richness 0 1 1.39 3 80Herbivorous macrofauna species richness 0 2 2.58 7 80Predatory macrofauna species richness 0 4.5 4.59 11 80Bacterivorous nematode species richness 0 3 2.9 6 72Fungivorous nematode species richness 0 3 2.42 4 72Plant-feeding nematode species richness 1 6 5.81 11 72Predatory nematode species richness 0 0 0.53 3 72Omnivorous nematode species richness 0 2 1.89 5 72Collembola species richness 0 6 5.67 11 80Aboveground herbivore species richness 35 58 62.71 111.5 50Aboveground carnivore species richness 44 61.5 61.67 75 50Aboveground omnivore species richness 7 15.25 14.92 24 50Aboveground parasitoid species richness 9 21.5 22.48 36 50Pollinator species richness 2 8 8.6 17 50Invader species richness 2.75 6.62 7.45 16.44 82Pathogen species richness 0 3 2.65 5 82
Organism interactionsCommunity herbivory (percent) 0.02 2.01 2.2 9.48 82Parasitism (percent) 0 14.43 16.95 57.14 78Flower visitor frequency (visits/6 Min.) 0 6.83 13.24 108 73Litter decomposition (percent) 42.33 69.67 69.24 89 44Seed predation (proportion removed) 0.22 0.78 0.75 1 46Pathogen severity (percent) 0 1.05 1.35 4.08 82Invasion (individuals/m²) 0 1.5 4.19 39 80Bioturbation (burrows per 400 m²) 0 14.75 31.45 209 82Ant activity (colonies per 4 m²) 0 3 2.98 9 81Microbial respiration (µL O2 g soil-1 x h-1) 1.8 3.05 3.11 7.67 82
Other covariatesAboveground plant biomass (g/m²) 6.71 240.68 277 614.21 82Aboveground dead plant biomass (g/m²) 8.84 24.59 26.89 79.34 82Leaf area index (m²/m²) 0.76 2.13 2.42 4.36 82Root length growth (cm/cm³ soil) 4.2 20.26 21.37 49.85 81
Supplementary Table 1 (continued)
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Supplementary Table 2 | Model selection tables for all response variables and all models considered (see following pages) Column names: model name, an internal name used to uniquely label all models fitted per response variable; model formula, the model formula used (in R notation); variance functions and covariate formulae for gnls models not shown here (see Supplementary Table 3 for the full specification of all mod-els); LL maximized log-likelihood of the model, given the data; K, number of estimated pa-rameters in the model; N2K, the number of observations, divided by K; AICc, Akaike´s An Information Criterion, corrected for small sample sizes; deltAICc, the difference between AICc and the lowest AICc value in the set of models considered for a given response vari-able; w_ic, the AICc weights.
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/(b
+ so
wnd
iv)
41.2
524
20.5
00-7
3.98
49.
515
0.00
Mic
robi
al b
iom
ass
Pc32
1a
+ so
wnd
iv^c
41.2
104
20.5
00-7
3.90
19.
599
0.00
Mic
robi
al b
iom
ass
Pc43
1b
* so
wnd
iv^c
41.1
114
20.5
00-7
3.70
39.
797
0.00
Mic
robi
al b
iom
ass
M32
1a
* so
wnd
iv/(
b +
sow
ndiv
)43
.375
613
.667
-73.
630
9.87
00.
00
Mic
robi
al b
iom
ass
AS3
SSas
ympO
rig(s
ownd
iv, A
sym
, lrc
)39
.966
327
.333
-73.
624
9.87
60.
00
Mic
robi
al b
iom
ass
Pg18
1a
+ so
wnd
iv^c
42.1
225
16.4
00-7
3.45
510
.045
0.00
Mic
robi
al b
iom
ass
AS1
SSas
ymp(
sow
ndiv
, Asy
m, R
0, lr
c)40
.914
420
.500
-73.
309
10.1
910.
00
Mic
robi
al b
iom
ass
AS2
SSas
ympO
ff(s
ownd
iv, A
sym
, lrc
, c0)
40.9
144
20.5
00-7
3.30
910
.191
0.00
Mic
robi
al b
iom
ass
Pc42
1b
* so
wnd
iv^c
40.9
144
20.5
00-7
3.30
810
.192
0.00
Mic
robi
al b
iom
ass
LG2
SSlo
gis(
sow
ndiv
, Asy
m, x
mid
, sca
l)40
.793
420
.500
-73.
067
10.4
330.
00
Mic
robi
al b
iom
ass
M14
1d
+ a
* so
wnd
iv/(
b +
sow
ndiv
)48
.042
108.
200
-72.
985
10.5
150.
00
Mic
robi
al b
iom
ass
Pg19
1b
* so
wnd
iv^c
41.8
605
16.4
00-7
2.93
010
.570
0.00
Mic
robi
al b
iom
ass
M31
1a
* so
wnd
iv/(
b +
sow
ndiv
)42
.938
613
.667
-72.
756
10.7
440.
00
Mic
robi
al b
iom
ass
Pf13
1a
+ so
wnd
iv^c
41.7
215
16.4
00-7
2.65
310
.846
0.00
Mic
robi
al b
iom
ass
M22
2d
+ a
* so
wnd
iv/(
b +
sow
ndiv
)41
.564
516
.400
-72.
338
11.1
620.
00
Mic
robi
al b
iom
ass
M5
a *
sow
ndiv
/(b
+ so
wnd
iv)
41.5
135
16.4
00-7
2.23
711
.263
0.00
Mic
robi
al b
iom
ass
M21
1d
+ a
* so
wnd
iv/(
b +
sow
ndiv
)41
.488
516
.400
-72.
188
11.3
120.
00
Mic
robi
al b
iom
ass
Pf14
1b
* so
wnd
iv^c
41.4
875
16.4
00-7
2.18
511
.315
0.00
Mic
robi
al b
iom
ass
M4
a *
sow
ndiv
/(b
+ so
wnd
iv)
41.4
835
16.4
00-7
2.17
611
.324
0.00
Mic
robi
al b
iom
ass
Pn18
31a
+ so
wnd
iv^c
42.5
296
13.6
67-7
1.93
911
.561
0.00
Supplementary Table 2 (continued)
SUPPLEMENTARY INFORMATIONRESEARCHdoi:10.1038/nature09492
WWW NATURE.COM/NATURE | 33
Long
var
iabl
e na
me
mod
el n
ame
mod
el fo
rmul
aLL
KN
2KA
ICc
delt
AIC
cw
_ic
Mic
robi
al b
iom
ass
Pd81
a +
sow
ndiv
^c41
.282
516
.400
-71.
775
11.7
250.
00
Mic
robi
al b
iom
ass
Pd91
b *
sow
ndiv
^c41
.275
516
.400
-71.
761
11.7
390.
00
Mic
robi
al b
iom
ass
Pn19
31b
* so
wnd
iv^c
42.2
776
13.6
67-7
1.43
412
.066
0.00
Mic
robi
al b
iom
ass
Pn18
21a
+ so
wnd
iv^c
42.2
086
13.6
67-7
1.29
612
.204
0.00
Mic
robi
al b
iom
ass
Pm13
31a
+ so
wnd
iv^c
42.0
696
13.6
67-7
1.01
712
.483
0.00
Mic
robi
al b
iom
ass
M81
a *
sow
ndiv
/(b
+ so
wnd
iv)
43.1
957
11.7
14-7
0.87
712
.623
0.00
Mic
robi
al b
iom
ass
M6
a *
sow
ndiv
/(b
+ so
wnd
iv)
43.1
727
11.7
14-7
0.83
112
.669
0.00
Mic
robi
al b
iom
ass
Pn19
21b
* so
wnd
iv^c
41.9
376
13.6
67-7
0.75
512
.745
0.00
Mic
robi
al b
iom
ass
M52
2a
* so
wnd
iv/(
b +
sow
ndiv
)41
.927
613
.667
-70.
734
12.7
660.
00
Mic
robi
al b
iom
ass
Ph24
1b
* so
wnd
iv^c
43.1
177
11.7
14-7
0.72
012
.780
0.00
Mic
robi
al b
iom
ass
Pm13
21a
+ so
wnd
iv^c
41.9
166
13.6
67-7
0.71
312
.787
0.00
Mic
robi
al b
iom
ass
Pd61
a +
b *
sow
ndiv
^c43
.040
711
.714
-70.
567
12.9
330.
00
Mic
robi
al b
iom
ass
Pm14
31b
* so
wnd
iv^c
41.8
366
13.6
67-7
0.55
312
.947
0.00
Mic
robi
al b
iom
ass
Ph23
1a
+ so
wnd
iv^c
43.0
047
11.7
14-7
0.49
413
.006
0.00
Mic
robi
al b
iom
ass
M41
1a
* so
wnd
iv/(
b +
sow
ndiv
)41
.768
613
.667
-70.
417
13.0
830.
00
Mic
robi
al b
iom
ass
Pj33
1a
+ so
wnd
iv^c
42.9
347
11.7
14-7
0.35
413
.146
0.00
Mic
robi
al b
iom
ass
Pe83
1a
+ so
wnd
iv^c
41.6
996
13.6
67-7
0.27
813
.222
0.00
Mic
robi
al b
iom
ass
Pe93
1b
* so
wnd
iv^c
41.6
956
13.6
67-7
0.26
913
.231
0.00
Mic
robi
al b
iom
ass
M51
1a
* so
wnd
iv/(
b +
sow
ndiv
)41
.694
613
.667
-70.
268
13.2
320.
00
Mic
robi
al b
iom
ass
Pm14
21b
* so
wnd
iv^c
41.6
786
13.6
67-7
0.23
613
.264
0.00
Mic
robi
al b
iom
ass
M42
2a
* so
wnd
iv/(
b +
sow
ndiv
)41
.613
613
.667
-70.
107
13.3
930.
00
Mic
robi
al b
iom
ass
Pj34
1b
* so
wnd
iv^c
42.7
497
11.7
14-6
9.98
413
.516
0.00
Mic
robi
al b
iom
ass
Pe82
1a
+ so
wnd
iv^c
41.4
766
13.6
67-6
9.83
313
.667
0.00
Mic
robi
al b
iom
ass
Pe92
1b
* so
wnd
iv^c
41.4
666
13.6
67-6
9.81
213
.688
0.00
Mic
robi
al b
iom
ass
M7
a *
sow
ndiv
/(b
+ so
wnd
iv)
42.4
977
11.7
14-6
9.48
114
.019
0.00
Mic
robi
al b
iom
ass
M62
2a
* so
wnd
iv/(
b +
sow
ndiv
)43
.634
810
.250
-69.
296
14.2
040.
00
Mic
robi
al b
iom
ass
Pd71
a +
b *
sow
ndiv
40.0
335
16.4
00-6
9.27
614
.224
0.00
Mic
robi
al b
iom
ass
M83
2a
* so
wnd
iv/(
b +
sow
ndiv
)43
.624
810
.250
-69.
275
14.2
250.
00
Mic
robi
al b
iom
ass
Pi29
1b
* so
wnd
iv^c
42.3
577
11.7
14-6
9.20
114
.299
0.00
Mic
robi
al b
iom
ass
Pi28
1a
+ so
wnd
iv^c
42.3
557
11.7
14-6
9.19
714
.303
0.00
Mic
robi
al b
iom
ass
Pp24
31b
* so
wnd
iv^c
43.5
848
10.2
50-6
9.19
514
.305
0.00
Mic
robi
al b
iom
ass
Pp23
31a
+ so
wnd
iv^c
43.4
878
10.2
50-6
9.00
214
.498
0.00
Mic
robi
al b
iom
ass
Pr33
31a
+ so
wnd
iv^c
43.3
408
10.2
50-6
8.70
714
.792
0.00
Supplementary Table 2 (continued)
SUPPLEMENTARY INFORMATIONRESEARCHdoi:10.1038/nature09492
WWW NATURE.COM/NATURE | 34
Long
var
iabl
e na
me
mod
el n
ame
mod
el fo
rmul
aLL
KN
2KA
ICc
delt
AIC
cw
_ic
Mic
robi
al b
iom
ass
M11
1d
+ a
* so
wnd
iv/(
b +
sow
ndiv
)42
.028
711
.714
-68.
542
14.9
580.
00
Mic
robi
al b
iom
ass
M82
1a
* so
wnd
iv/(
b +
sow
ndiv
)43
.254
810
.250
-68.
535
14.9
650.
00
Mic
robi
al b
iom
ass
M61
1a
* so
wnd
iv/(
b +
sow
ndiv
)43
.222
810
.250
-68.
470
15.0
290.
00
Mic
robi
al b
iom
ass
Pp24
21b
* so
wnd
iv^c
43.1
818
10.2
50-6
8.38
915
.111
0.00
Mic
robi
al b
iom
ass
Pr34
31b
* so
wnd
iv^c
43.1
548
10.2
50-6
8.33
615
.164
0.00
Mic
robi
al b
iom
ass
Pp23
21a
+ so
wnd
iv^c
43.0
638
10.2
50-6
8.15
415
.346
0.00
Mic
robi
al b
iom
ass
Pr33
21a
+ so
wnd
iv^c
43.0
198
10.2
50-6
8.06
615
.434
0.00
Mic
robi
al b
iom
ass
Ph22
1a
+ b
* so
wnd
iv41
.695
711
.714
-67.
877
15.6
230.
00
Mic
robi
al b
iom
ass
Pe73
1a
+ b
* so
wnd
iv40
.482
613
.667
-67.
843
15.6
570.
00
Mic
robi
al b
iom
ass
M72
2a
* so
wnd
iv/(
b +
sow
ndiv
)42
.872
810
.250
-67.
771
15.7
290.
00
Mic
robi
al b
iom
ass
Pr34
21b
* so
wnd
iv^c
42.8
398
10.2
50-6
7.70
515
.795
0.00
Mic
robi
al b
iom
ass
Ec21
21a
+ ex
p(c
* so
wnd
iv)
40.3
736
13.6
67-6
7.62
715
.873
0.00
Mic
robi
al b
iom
ass
Pb21
a +
b *
sow
ndiv
36.9
613
27.3
33-6
7.61
415
.886
0.00
Mic
robi
al b
iom
ass
Pa2
a +
b *
sow
ndiv
36.9
613
27.3
33-6
7.61
415
.886
0.00
Mic
robi
al b
iom
ass
Pq28
31a
+ so
wnd
iv^c
42.7
178
10.2
50-6
7.46
116
.039
0.00
Mic
robi
al b
iom
ass
Pq29
31b
* so
wnd
iv^c
42.7
128
10.2
50-6
7.45
116
.049
0.00
Mic
robi
al b
iom
ass
L2so
wnd
iv +
func
gr +
leg
39.1
075
16.4
00-6
7.42
416
.076
0.00
Mic
robi
al b
iom
ass
Pe72
1a
+ b
* so
wnd
iv40
.207
613
.667
-67.
295
16.2
050.
00
Mic
robi
al b
iom
ass
Pg17
1a
+ b
* so
wnd
iv39
.038
516
.400
-67.
287
16.2
130.
00
Mic
robi
al b
iom
ass
M71
1a
* so
wnd
iv/(
b +
sow
ndiv
)42
.621
810
.250
-67.
268
16.2
320.
00
Mic
robi
al b
iom
ass
Pq29
21b
* so
wnd
iv^c
42.5
148
10.2
50-6
7.05
616
.444
0.00
Mic
robi
al b
iom
ass
Pq28
21a
+ so
wnd
iv^c
42.5
058
10.2
50-6
7.03
816
.462
0.00
Mic
robi
al b
iom
ass
Pf12
1a
+ b
* so
wnd
iv38
.854
516
.400
-66.
919
16.5
810.
00
Mic
robi
al b
iom
ass
M11
32d
+ a
* so
wnd
iv/(
b +
sow
ndiv
)42
.436
810
.250
-66.
899
16.6
010.
00
Mic
robi
al b
iom
ass
Pp22
31a
+ b
* so
wnd
iv42
.176
810
.250
-66.
380
17.1
200.
00
Mic
robi
al b
iom
ass
Pc23
1a
+ b
* so
wnd
iv37
.344
420
.500
-66.
168
17.3
320.
00
Mic
robi
al b
iom
ass
Pn17
31a
+ b
* so
wnd
iv39
.613
613
.667
-66.
107
17.3
930.
00
Mic
robi
al b
iom
ass
Pi27
1a
+ b
* so
wnd
iv40
.783
711
.714
-66.
052
17.4
480.
00
Mic
robi
al b
iom
ass
L222
sow
ndiv
+ fu
ncgr
+ le
g39
.577
613
.667
-66.
034
17.4
650.
00
Mic
robi
al b
iom
ass
M91
a *
sow
ndiv
/(b
+ so
wnd
iv)
43.2
409
9.11
1-6
5.98
017
.520
0.00
Mic
robi
al b
iom
ass
Ea92
1a
+ ex
p(c
* so
wnd
iv)
39.5
366
13.6
67-6
5.95
217
.548
0.00
Mic
robi
al b
iom
ass
Pk39
1b
* so
wnd
iv^c
43.1
639
9.11
1-6
5.82
517
.675
0.00
Mic
robi
al b
iom
ass
E32
a +
exp(
c *
sow
ndiv
)37
.167
420
.500
-65.
814
17.6
860.
00
Supplementary Table 2 (continued)
SUPPLEMENTARY INFORMATIONRESEARCHdoi:10.1038/nature09492
WWW NATURE.COM/NATURE | 35
Long
var
iabl
e na
me
mod
el n
ame
mod
el fo
rmul
aLL
KN
2KA
ICc
delt
AIC
cw
_ic
Mic
robi
al b
iom
ass
Pk38
1a
+ so
wnd
iv^c
43.0
839
9.11
1-6
5.66
617
.834
0.00
Mic
robi
al b
iom
ass
Pj32
1a
+ b
* so
wnd
iv40
.566
711
.714
-65.
618
17.8
820.
00
Mic
robi
al b
iom
ass
Pp22
21a
+ b
* so
wnd
iv41
.779
810
.250
-65.
585
17.9
150.
00
Mic
robi
al b
iom
ass
M13
1d
+ a
* so
wnd
iv/(
b +
sow
ndiv
)44
.339
108.
200
-65.
579
17.9
210.
00
Mic
robi
al b
iom
ass
Pc22
1a
+ b
* so
wnd
iv37
.024
420
.500
-65.
529
17.9
710.
00
Mic
robi
al b
iom
ass
L21
sow
ndiv
+ fu
ncgr
+ le
g39
.316
613
.667
-65.
511
17.9
890.
00
Mic
robi
al b
iom
ass
L22
sow
ndiv
+ fu
ncgr
+ le
g39
.212
613
.667
-65.
305
18.1
950.
00
Mic
robi
al b
iom
ass
Pm12
31a
+ b
* so
wnd
iv39
.193
613
.667
-65.
266
18.2
340.
00
Mic
robi
al b
iom
ass
L211
sow
ndiv
+ fu
ncgr
+ le
g39
.163
613
.667
-65.
206
18.2
940.
00
Mic
robi
al b
iom
ass
E31
a +
exp(
c *
sow
ndiv
)36
.782
420
.500
-65.
044
18.4
560.
00
Mic
robi
al b
iom
ass
Pq26
31a
+ b
* so
wnd
iv^c
45.3
8711
7.45
5-6
5.00
218
.498
0.00
Mic
robi
al b
iom
ass
Pn17
21a
+ b
* so
wnd
iv39
.049
613
.667
-64.
978
18.5
220.
00
Mic
robi
al b
iom
ass
Pm12
21a
+ b
* so
wnd
iv39
.013
613
.667
-64.
906
18.5
940.
00
Mic
robi
al b
iom
ass
Eb15
21a
+ ex
p(c
* so
wnd
iv)
38.9
636
13.6
67-6
4.80
618
.694
0.00
Mic
robi
al b
iom
ass
Ea91
1a
+ ex
p(c
* so
wnd
iv)
38.9
436
13.6
67-6
4.76
718
.733
0.00
Mic
robi
al b
iom
ass
Pq27
31a
+ b
* so
wnd
iv41
.190
810
.250
-64.
407
19.0
930.
00
Mic
robi
al b
iom
ass
Eb15
11a
+ ex
p(c
* so
wnd
iv)
38.7
416
13.6
67-6
4.36
219
.138
0.00
Mic
robi
al b
iom
ass
M93
2a
* so
wnd
iv/(
b +
sow
ndiv
)43
.680
108.
200
-64.
262
19.2
380.
00
Mic
robi
al b
iom
ass
Ps39
31b
* so
wnd
iv^c
43.6
1010
8.20
0-6
4.12
119
.379
0.00
Mic
robi
al b
iom
ass
Pr32
31a
+ b
* so
wnd
iv41
.003
810
.250
-64.
033
19.4
660.
00
Mic
robi
al b
iom
ass
Ps38
31a
+ so
wnd
iv^c
43.5
3310
8.20
0-6
3.96
719
.533
0.00
Mic
robi
al b
iom
ass
Pq27
21a
+ b
* so
wnd
iv40
.935
810
.250
-63.
897
19.6
030.
00
Mic
robi
al b
iom
ass
Ef39
21a
+ ex
p(c
* so
wnd
iv)
40.8
528
10.2
50-6
3.73
119
.769
0.00
Mic
robi
al b
iom
ass
M92
1a
* so
wnd
iv/(
b +
sow
ndiv
)43
.294
108.
200
-63.
490
20.0
100.
00
Mic
robi
al b
iom
ass
Ps39
21b
* so
wnd
iv^c
43.2
3410
8.20
0-6
3.37
020
.130
0.00
Mic
robi
al b
iom
ass
Pr32
21a
+ b
* so
wnd
iv40
.651
810
.250
-63.
330
20.1
700.
00
Mic
robi
al b
iom
ass
Ps38
21a
+ so
wnd
iv^c
43.1
5510
8.20
0-6
3.21
220
.288
0.00
Mic
robi
al b
iom
ass
Pk37
1a
+ b
* so
wnd
iv41
.722
99.
111
-62.
945
20.5
550.
00
Mic
robi
al b
iom
ass
E2a
+ b
* ex
p(so
wnd
iv)
34.2
223
27.3
33-6
2.13
721
.363
0.00
Mic
robi
al b
iom
ass
Ps37
31a
+ b
* so
wnd
iv42
.217
108.
200
-61.
336
22.1
640.
00
Mic
robi
al b
iom
ass
E22
a +
b *
exp(
sow
ndiv
)34
.840
420
.500
-61.
161
22.3
390.
00
Mic
robi
al b
iom
ass
M13
32d
+ a
* so
wnd
iv/(
b +
sow
ndiv
)43
.226
117.
455
-60.
680
22.8
200.
00
Mic
robi
al b
iom
ass
Ps37
21a
+ b
* so
wnd
iv41
.798
108.
200
-60.
497
23.0
030.
00
Supplementary Table 2 (continued)
SUPPLEMENTARY INFORMATIONRESEARCHdoi:10.1038/nature09492
WWW NATURE.COM/NATURE | 36
Long
var
iabl
e na
me
mod
el n
ame
mod
el fo
rmul
aLL
KN
2KA
ICc
delt
AIC
cw
_ic
Mic
robi
al b
iom
ass
E21
a +
b *
exp(
sow
ndiv
)34
.224
420
.500
-59.
929
23.5
710.
00
Mic
robi
al b
iom
ass
M16
21d
+ a
* so
wnd
iv/(
b +
sow
ndiv
)43
.829
145.
857
-53.
389
30.1
110.
00
Mic
robi
al b
iom
ass
Ec24
11ex
p(c
* so
wnd
iv)
-16.
779
420
.500
42.0
7712
5.57
70.
00
Mic
robi
al b
iom
ass
Ef42
11ex
p(c
* so
wnd
iv)
-18.
452
516
.400
47.6
9313
1.19
30.
00
Mic
robi
al b
iom
ass
Ec24
21ex
p(c
* so
wnd
iv)
-22.
010
420
.500
52.5
3913
6.03
90.
00
Mic
robi
al b
iom
ass
Pe10
21so
wnd
iv^c
-23.
004
420
.500
54.5
2813
8.02
80.
00
Mic
robi
al b
iom
ass
Ed30
21ex
p(c
* so
wnd
iv)
-21.
873
516
.400
54.5
3513
8.03
50.
00
Mic
robi
al b
iom
ass
Ef42
21ex
p(c
* so
wnd
iv)
-22.
298
516
.400
55.3
8513
8.88
50.
00
Mic
robi
al b
iom
ass
Pp25
21so
wnd
iv^c
-22.
318
516
.400
55.4
2613
8.92
60.
00
Mic
robi
al b
iom
ass
Pq30
21so
wnd
iv^c
-22.
751
516
.400
56.2
9113
9.79
10.
00
Mic
robi
al b
iom
ass
Pr35
21so
wnd
iv^c
-23.
330
516
.400
57.4
4914
0.94
90.
00
Mic
robi
al b
iom
ass
Ps40
21so
wnd
iv^c
-22.
318
613
.667
57.7
5714
1.25
70.
00
Mic
robi
al b
iom
ass
Ec24
exp(
c *
sow
ndiv
)-2
5.82
23
27.3
3357
.952
141.
452
0.00
Mic
robi
al b
iom
ass
E61
exp(
c *
sow
ndiv
)-2
5.83
73
27.3
3357
.982
141.
482
0.00
Mic
robi
al b
iom
ass
Ea12
1ex
p(c
* so
wnd
iv)
-24.
809
420
.500
58.1
3814
1.63
80.
00
Mic
robi
al b
iom
ass
Eb18
11ex
p(c
* so
wnd
iv)
-24.
874
420
.500
58.2
6814
1.76
80.
00
Mic
robi
al b
iom
ass
Pn20
21so
wnd
iv^c
-25.
447
420
.500
59.4
1414
2.91
40.
00
Mic
robi
al b
iom
ass
Ea12
21ex
p(c
* so
wnd
iv)
-27.
410
420
.500
63.3
3814
6.83
80.
00
Mic
robi
al b
iom
ass
Eb18
21ex
p(c
* so
wnd
iv)
-28.
062
420
.500
64.6
4414
8.14
40.
00
Mic
robi
al b
iom
ass
Ea12
exp(
c *
sow
ndiv
)-2
9.32
33
27.3
3364
.953
148.
453
0.00
Mic
robi
al b
iom
ass
Pm15
21so
wnd
iv^c
-29.
450
420
.500
67.4
1915
0.91
90.
00
Mic
robi
al b
iom
ass
Eb18
exp(
c *
sow
ndiv
)-3
0.73
33
27.3
3367
.775
151.
275
0.00
Mic
robi
al b
iom
ass
E62
exp(
c *
sow
ndiv
)-3
1.04
33
27.3
3368
.394
151.
894
0.00
Mic
robi
al b
iom
ass
Pc52
1so
wnd
iv^c
-31.
052
327
.333
68.4
1115
1.91
10.
00
Mic
robi
al b
iom
ass
Pe10
31so
wnd
iv^c
-33.
608
420
.500
75.7
3615
9.23
60.
00
Mic
robi
al b
iom
ass
Pp25
31so
wnd
iv^c
-33.
351
516
.400
77.4
9116
0.99
10.
00
Mic
robi
al b
iom
ass
Pq30
31so
wnd
iv^c
-33.
507
516
.400
77.8
0316
1.30
30.
00
Mic
robi
al b
iom
ass
Ps40
31so
wnd
iv^c
-33.
349
613
.667
79.8
1816
3.31
80.
00
Mic
robi
al b
iom
ass
Pr35
31so
wnd
iv^c
-34.
584
516
.400
79.9
5716
3.45
60.
00
Mic
robi
al b
iom
ass
E5b
* ex
p(so
wnd
iv)
-39.
024
241
.000
82.2
0016
5.70
00.
00
Mic
robi
al b
iom
ass
E52
b *
exp(
sow
ndiv
)-3
8.41
33
27.3
3383
.133
166.
633
0.00
Mic
robi
al b
iom
ass
Pn20
31so
wnd
iv^c
-37.
755
420
.500
84.0
2916
7.52
90.
00
Mic
robi
al b
iom
ass
Pm15
31so
wnd
iv^c
-40.
766
420
.500
90.0
5117
3.55
10.
00
Supplementary Table 2 (continued)
SUPPLEMENTARY INFORMATIONRESEARCHdoi:10.1038/nature09492
WWW NATURE.COM/NATURE | 37
Long
var
iabl
e na
me
mod
el n
ame
mod
el fo
rmul
aLL
KN
2KA
ICc
delt
AIC
cw
_ic
Mic
robi
al b
iom
ass
Pd10
1so
wnd
iv^c
-42.
131
327
.333
90.5
7017
4.07
00.
00
Mic
robi
al b
iom
ass
Pg20
1so
wnd
iv^c
-43.
048
327
.333
92.4
0317
5.90
30.
00
Mic
robi
al b
iom
ass
Ph25
1so
wnd
iv^c
-41.
970
420
.500
92.4
5917
5.95
80.
00
Mic
robi
al b
iom
ass
Pi30
1so
wnd
iv^c
-42.
003
420
.500
92.5
2617
6.02
60.
00
Mic
robi
al b
iom
ass
Pc53
1so
wnd
iv^c
-43.
207
327
.333
92.7
2117
6.22
10.
00
Mic
robi
al b
iom
ass
Pb51
sow
ndiv
^c-4
4.52
02
41.0
0093
.193
176.
693
0.00
Mic
robi
al b
iom
ass
Pa5
sow
ndiv
^c-4
4.52
02
41.0
0093
.193
176.
693
0.00
Mic
robi
al b
iom
ass
Pj35
1so
wnd
iv^c
-42.
416
420
.500
93.3
5117
6.85
10.
00
Mic
robi
al b
iom
ass
Pf15
1so
wnd
iv^c
-44.
034
327
.333
94.3
7717
7.87
70.
00
Mic
robi
al b
iom
ass
Pk40
1so
wnd
iv^c
-41.
948
516
.400
94.6
8617
8.18
60.
00
Mic
robi
al b
iom
ass
Ec22
21a
+ ex
p(so
wnd
iv)
-794
.328
420
.500
1597
.176
1680
.676
0.00
Mic
robi
al b
iom
ass
Ed28
21a
+ ex
p(so
wnd
iv)
-794
.328
516
.400
1599
.445
1682
.945
0.00
Mic
robi
al b
iom
ass
Ee34
2a
+ ex
p(so
wnd
iv)
-794
.328
516
.400
1599
.446
1682
.946
0.00
Mic
robi
al b
iom
ass
Eg46
21a
+ ex
p(so
wnd
iv)
-794
.328
613
.667
1601
.775
1685
.275
0.00
Mic
robi
al b
iom
ass
E42
a +
exp(
sow
ndiv
)-8
00.9
883
27.3
3316
08.2
8516
91.7
850.
00
Mic
robi
al b
iom
ass
Eb16
21a
+ ex
p(so
wnd
iv)
-800
.869
420
.500
1610
.258
1693
.758
0.00
Mic
robi
al b
iom
ass
Ea10
21a
+ ex
p(so
wnd
iv)
-800
.886
420
.500
1610
.291
1693
.791
0.00
Mic
robi
al b
iom
ass
Ef40
21a
+ ex
p(so
wnd
iv)
-800
.642
516
.400
1612
.074
1695
.574
0.00
Mic
robi
al b
iom
ass
E51
b *
exp(
sow
ndiv
)-1
656.
492
327
.333
3319
.291
3402
.791
0.00
Mic
robi
al b
iom
ass
E41
a +
exp(
sow
ndiv
)-1
729.
079
327
.333
3464
.466
3547
.966
0.00
Mic
robi
al b
iom
ass
Ea10
11a
+ ex
p(so
wnd
iv)
-172
8.39
04
20.5
0034
65.3
0035
48.8
000.
00
Mic
robi
al b
iom
ass
Eb16
11a
+ ex
p(so
wnd
iv)
-172
9.03
84
20.5
0034
66.5
9635
50.0
960.
00
Mic
robi
al b
iom
ass
Ec22
11a
+ ex
p(so
wnd
iv)
-172
9.07
94
20.5
0034
66.6
7835
50.1
780.
00
Mic
robi
al b
iom
ass
Ef40
11a
+ ex
p(so
wnd
iv)
-172
8.38
45
16.4
0034
67.5
5835
51.0
580.
00
Mic
robi
al b
iom
ass
Ed28
11a
+ ex
p(so
wnd
iv)
-172
8.39
05
16.4
0034
67.5
7035
51.0
700.
00
Mic
robi
al b
iom
ass
Ee34
1a
+ ex
p(so
wnd
iv)
-172
9.03
85
16.4
0034
68.8
6635
52.3
660.
00
Mic
robi
al b
iom
ass
Eg46
11a
+ ex
p(so
wnd
iv)
-172
8.38
46
13.6
6734
69.8
8835
53.3
880.
00
Mic
robi
al b
iom
ass
Ef37
21a
+ b
* ex
p(c
* so
wnd
iv)
-271
9.87
311
7.45
554
65.5
1855
49.0
170.
00
Mic
robi
al b
iom
ass
Ec19
21a
+ b
* ex
p(c
* so
wnd
iv)
-287
7.53
48
10.2
5057
73.0
4058
56.5
400.
00
Mic
robi
al b
iom
ass
E4a
+ ex
p(so
wnd
iv)
-491
2.51
62
41.0
0098
29.1
8399
12.6
830.
00
Mic
robi
al b
iom
ass
Ea10
a +
exp(
sow
ndiv
)-4
912.
516
327
.333
9831
.339
9914
.839
0.00
Mic
robi
al b
iom
ass
Eb16
a +
exp(
sow
ndiv
)-4
912.
516
327
.333
9831
.339
9914
.839
0.00
Mic
robi
al b
iom
ass
Ec22
a +
exp(
sow
ndiv
)-4
912.
516
327
.333
9831
.339
9914
.839
0.00
Supplementary Table 2 (continued)
SUPPLEMENTARY INFORMATIONRESEARCHdoi:10.1038/nature09492
WWW NATURE.COM/NATURE | 38
Long
var
iabl
e na
me
mod
el n
ame
mod
el fo
rmul
aLL
KN
2KA
ICc
delt
AIC
cw
_ic
Mic
robi
al b
iom
ass
Ed28
a +
exp(
sow
ndiv
)-4
912.
516
420
.500
9833
.551
9917
.051
0.00
Mic
robi
al b
iom
ass
Ee40
a +
exp(
sow
ndiv
)-4
912.
516
420
.500
9833
.551
9917
.051
0.00
Mic
robi
al b
iom
ass
Ef40
a +
exp(
sow
ndiv
)-4
912.
516
420
.500
9833
.551
9917
.051
0.00
Mic
robi
al b
iom
ass
Eg46
a +
exp(
sow
ndiv
)-4
912.
516
516
.400
9835
.821
9919
.321
0.00
Mic
robi
al re
spir
atio
nM
211
d +
a *
sow
ndiv
/(b
+ so
wnd
iv)
62.4
095
16.4
00-1
14.0
290.
000
0.14
Mic
robi
al re
spir
atio
nA
S3SS
asym
pOrig
(sow
ndiv
, Asy
m, l
rc)
60.0
093
27.3
33-1
13.7
110.
318
0.12
Mic
robi
al re
spir
atio
nM
1aSS
mic
men
(sow
ndiv
, Vm
, k)
59.7
303
27.3
33-1
13.1
520.
878
0.09
Mic
robi
al re
spir
atio
nM
1a
* so
wnd
iv/(
b +
sow
ndiv
)59
.730
327
.333
-113
.152
0.87
80.
09
Mic
robi
al re
spir
atio
nM
411
a *
sow
ndiv
/(b
+ so
wnd
iv)
62.7
836
13.6
67-1
12.4
461.
583
0.06
Mic
robi
al re
spir
atio
nPc
321
a +
sow
ndiv
^c60
.190
420
.500
-111
.861
2.16
80.
05
Mic
robi
al re
spir
atio
nM
2d
+ a
* so
wnd
iv/(
b +
sow
ndiv
)60
.138
420
.500
-111
.756
2.27
30.
05
Mic
robi
al re
spir
atio
nAS
2SS
asym
pOff
(sow
ndiv
, Asy
m, l
rc, c
0)60
.010
420
.500
-111
.501
2.52
80.
04
Mic
robi
al re
spir
atio
nA
S1SS
asym
p(so
wnd
iv, A
sym
, R0,
lrc)
60.0
104
20.5
00-1
11.5
012.
528
0.04
Mic
robi
al re
spir
atio
nLG
2SS
logi
s(so
wnd
iv, A
sym
, xm
id, s
cal)
59.6
774
20.5
00-1
10.8
353.
194
0.03
Mic
robi
al re
spir
atio
nM
511
a *
sow
ndiv
/(b
+ so
wnd
iv)
61.9
006
13.6
67-1
10.6
803.
349
0.03
Mic
robi
al re
spir
atio
nM
311
a *
sow
ndiv
/(b
+ so
wnd
iv)
61.8
846
13.6
67-1
10.6
473.
382
0.03
Mic
robi
al re
spir
atio
nPm
1321
a +
sow
ndiv
^c61
.709
613
.667
-110
.298
3.73
10.
02
Mic
robi
al re
spir
atio
nM
4a
* so
wnd
iv/(
b +
sow
ndiv
)60
.326
516
.400
-109
.862
4.16
70.
02
Mic
robi
al re
spir
atio
nM
222
d +
a *
sow
ndiv
/(b
+ so
wnd
iv)
60.2
245
16.4
00-1
09.6
594.
371
0.02
Mic
robi
al re
spir
atio
nPe
821
a +
sow
ndiv
^c61
.067
613
.667
-109
.014
5.01
50.
01
Mic
robi
al re
spir
atio
nPa
3a
+ so
wnd
iv^c
57.5
783
27.3
33-1
08.8
485.
181
0.01
Mic
robi
al re
spir
atio
nPb
31a
+ so
wnd
iv^c
57.5
783
27.3
33-1
08.8
485.
181
0.01
Mic
robi
al re
spir
atio
nM
5a
* so
wnd
iv/(
b +
sow
ndiv
)59
.764
516
.400
-108
.738
5.29
20.
01
Mic
robi
al re
spir
atio
nM
3a
* so
wnd
iv/(
b +
sow
ndiv
)59
.731
516
.400
-108
.672
5.35
70.
01
Mic
robi
al re
spir
atio
nPc
421
b *
sow
ndiv
^c58
.486
420
.500
-108
.452
5.57
70.
01
Mic
robi
al re
spir
atio
nPe
921
b *
sow
ndiv
^c60
.555
613
.667
-107
.990
6.04
00.
01
Mic
robi
al re
spir
atio
nPm
1421
b *
sow
ndiv
^c60
.552
613
.667
-107
.983
6.04
60.
01
Mic
robi
al re
spir
atio
nM
711
a *
sow
ndiv
/(b
+ so
wnd
iv)
62.9
608
10.2
50-1
07.9
476.
082
0.01
Mic
robi
al re
spir
atio
nM
821
a *
sow
ndiv
/(b
+ so
wnd
iv)
62.8
218
10.2
50-1
07.6
706.
359
0.01
Mic
robi
al re
spir
atio
nM
422
a *
sow
ndiv
/(b
+ so
wnd
iv)
60.3
876
13.6
67-1
07.6
546.
376
0.01
Mic
robi
al re
spir
atio
nPn
1821
a +
sow
ndiv
^c60
.321
613
.667
-107
.521
6.50
80.
01
Mic
robi
al re
spir
atio
nPf
131
a +
sow
ndiv
^c58
.961
516
.400
-107
.133
6.89
70.
00
Mic
robi
al re
spir
atio
nPd
81a
+ so
wnd
iv^c
58.8
415
16.4
00-1
06.8
927.
137
0.00
Supplementary Table 2 (continued)
SUPPLEMENTARY INFORMATIONRESEARCHdoi:10.1038/nature09492
WWW NATURE.COM/NATURE | 39
Long
var
iabl
e na
me
mod
el n
ame
mod
el fo
rmul
aLL
KN
2KA
ICc
delt
AIC
cw
_ic
Mic
robi
al re
spir
atio
nPc
331
a +
sow
ndiv
^c57
.625
420
.500
-106
.731
7.29
80.
00
Mic
robi
al re
spir
atio
nPd
91b
* so
wnd
iv^c
58.7
125
16.4
00-1
06.6
357.
394
0.00
Mic
robi
al re
spir
atio
nM
522
a *
sow
ndiv
/(b
+ so
wnd
iv)
59.8
466
13.6
67-1
06.5
727.
458
0.00
Mic
robi
al re
spir
atio
nM
321
a *
sow
ndiv
/(b
+ so
wnd
iv)
59.8
006
13.6
67-1
06.4
807.
550
0.00
Mic
robi
al re
spir
atio
nPa
4b
* so
wnd
iv^c
56.3
483
27.3
33-1
06.3
897.
640
0.00
Mic
robi
al re
spir
atio
nPb
41b
* so
wnd
iv^c
56.3
483
27.3
33-1
06.3
897.
640
0.00
Mic
robi
al re
spir
atio
nPq
2821
a +
sow
ndiv
^c62
.032
810
.250
-106
.092
7.93
70.
00
Mic
robi
al re
spir
atio
nPr
3321
a +
sow
ndiv
^c61
.957
810
.250
-105
.942
8.08
70.
00
Mic
robi
al re
spir
atio
nM
611
a *
sow
ndiv
/(b
+ so
wnd
iv)
61.9
408
10.2
50-1
05.9
088.
121
0.00
Mic
robi
al re
spir
atio
nPf
141
b *
sow
ndiv
^c58
.114
516
.400
-105
.439
8.59
10.
00
Mic
robi
al re
spir
atio
nPr
3421
b *
sow
ndiv
^c61
.701
810
.250
-105
.429
8.60
00.
00
Mic
robi
al re
spir
atio
nM
7a
* so
wnd
iv/(
b +
sow
ndiv
)60
.422
711
.714
-105
.331
8.69
80.
00
Mic
robi
al re
spir
atio
nPq
2921
b *
sow
ndiv
^c61
.647
810
.250
-105
.321
8.70
80.
00
Mic
robi
al re
spir
atio
nM
1221
d +
a *
sow
ndiv
/(b
+ so
wnd
iv)
61.6
318
10.2
50-1
05.2
898.
740
0.00
Mic
robi
al re
spir
atio
nPg
181
a +
sow
ndiv
^c58
.011
516
.400
-105
.233
8.79
60.
00
Mic
robi
al re
spir
atio
nM
81a
* so
wnd
iv/(
b +
sow
ndiv
)60
.369
711
.714
-105
.224
8.80
50.
00
Mic
robi
al re
spir
atio
nPn
1921
b *
sow
ndiv
^c58
.998
613
.667
-104
.877
9.15
20.
00
Mic
robi
al re
spir
atio
nPm
1331
a +
sow
ndiv
^c58
.961
613
.667
-104
.802
9.22
70.
00
Mic
robi
al re
spir
atio
nPe
831
a +
sow
ndiv
^c58
.904
613
.667
-104
.688
9.34
20.
00
Mic
robi
al re
spir
atio
nPe
931
b *
sow
ndiv
^c58
.832
613
.667
-104
.544
9.48
60.
00
Mic
robi
al re
spir
atio
nPp
2321
a +
sow
ndiv
^c61
.104
810
.250
-104
.235
9.79
40.
00
Mic
robi
al re
spir
atio
nPc
431
b *
sow
ndiv
^c56
.374
420
.500
-104
.228
9.80
10.
00
Mic
robi
al re
spir
atio
nM
6a
* so
wnd
iv/(
b +
sow
ndiv
)59
.767
711
.714
-104
.021
10.0
080.
00
Mic
robi
al re
spir
atio
nPj
341
b *
sow
ndiv
^c59
.744
711
.714
-103
.974
10.0
550.
00
Mic
robi
al re
spir
atio
nPg
191
b *
sow
ndiv
^c57
.215
516
.400
-103
.641
10.3
880.
00
Mic
robi
al re
spir
atio
nM
921
a *
sow
ndiv
/(b
+ so
wnd
iv)
63.3
2310
8.20
0-1
03.5
4810
.481
0.00
Mic
robi
al re
spir
atio
nPi
291
b *
sow
ndiv
^c59
.440
711
.714
-103
.366
10.6
640.
00
Mic
robi
al re
spir
atio
nPi
281
a +
sow
ndiv
^c59
.425
711
.714
-103
.336
10.6
940.
00
Mic
robi
al re
spir
atio
nPj
331
a +
sow
ndiv
^c59
.394
711
.714
-103
.274
10.7
550.
00
Mic
robi
al re
spir
atio
nPp
2421
b *
sow
ndiv
^c60
.588
810
.250
-103
.203
10.8
260.
00
Mic
robi
al re
spir
atio
nPm
1431
b *
sow
ndiv
^c58
.119
613
.667
-103
.118
10.9
110.
00
Mic
robi
al re
spir
atio
nM
722
a *
sow
ndiv
/(b
+ so
wnd
iv)
60.4
758
10.2
50-1
02.9
7711
.052
0.00
Mic
robi
al re
spir
atio
nPe
721
a +
b *
sow
ndiv
58.0
326
13.6
67-1
02.9
4311
.086
0.00
Supplementary Table 2 (continued)
SUPPLEMENTARY INFORMATIONRESEARCHdoi:10.1038/nature09492
WWW NATURE.COM/NATURE | 40
Long
var
iabl
e na
me
mod
el n
ame
mod
el fo
rmul
aLL
KN
2KA
ICc
delt
AIC
cw
_ic
Mic
robi
al re
spir
atio
nPn
1831
a +
sow
ndiv
^c58
.016
613
.667
-102
.913
11.1
160.
00
Mic
robi
al re
spir
atio
nM
832
a *
sow
ndiv
/(b
+ so
wnd
iv)
60.4
398
10.2
50-1
02.9
0611
.123
0.00
Mic
robi
al re
spir
atio
nPh
231
a +
sow
ndiv
^c58
.844
711
.714
-102
.175
11.8
550.
00
Mic
robi
al re
spir
atio
nPh
241
b *
sow
ndiv
^c58
.713
711
.714
-101
.912
12.1
180.
00
Mic
robi
al re
spir
atio
nPd
71a
+ b
* so
wnd
iv56
.350
516
.400
-101
.910
12.1
190.
00
Mic
robi
al re
spir
atio
nM
622
a *
sow
ndiv
/(b
+ so
wnd
iv)
59.8
478
10.2
50-1
01.7
2112
.308
0.00
Mic
robi
al re
spir
atio
nPr
3431
b *
sow
ndiv
^c59
.846
810
.250
-101
.720
12.3
090.
00
Mic
robi
al re
spir
atio
nPs
3821
a +
sow
ndiv
^c62
.343
108.
200
-101
.587
12.4
420.
00
Mic
robi
al re
spir
atio
nPn
1931
b *
sow
ndiv
^c57
.254
613
.667
-101
.388
12.6
410.
00
Mic
robi
al re
spir
atio
nPq
2931
b *
sow
ndiv
^c59
.530
810
.250
-101
.086
12.9
430.
00
Mic
robi
al re
spir
atio
nPq
2831
a +
sow
ndiv
^c59
.468
810
.250
-100
.964
13.0
660.
00
Mic
robi
al re
spir
atio
nM
91a
* so
wnd
iv/(
b +
sow
ndiv
)60
.720
99.
111
-100
.939
13.0
900.
00
Mic
robi
al re
spir
atio
nPs
3921
b *
sow
ndiv
^c62
.017
108.
200
-100
.936
13.0
940.
00
Mic
robi
al re
spir
atio
nPr
3331
a +
sow
ndiv
^c59
.423
810
.250
-100
.873
13.1
560.
00
Mic
robi
al re
spir
atio
nM
1521
d +
a *
sow
ndiv
/(b
+ so
wnd
iv)
63.3
1911
7.45
5-1
00.8
6713
.162
0.00
Mic
robi
al re
spir
atio
nM
1421
d +
a *
sow
ndiv
/(b
+ so
wnd
iv)
63.1
1011
7.45
5-1
00.4
4913
.580
0.00
Mic
robi
al re
spir
atio
nPe
731
a +
b *
sow
ndiv
56.5
066
13.6
67-9
9.89
114
.138
0.00
Mic
robi
al re
spir
atio
nPp
2331
a +
sow
ndiv
^c58
.905
810
.250
-99.
837
14.1
920.
00
Mic
robi
al re
spir
atio
nPm
1221
a +
b *
sow
ndiv
56.4
156
13.6
67-9
9.71
114
.318
0.00
Mic
robi
al re
spir
atio
nPp
2431
b *
sow
ndiv
^c58
.836
810
.250
-99.
699
14.3
300.
00
Mic
robi
al re
spir
atio
nPq
2721
a +
b *
sow
ndiv
58.8
288
10.2
50-9
9.68
414
.345
0.00
Mic
robi
al re
spir
atio
nEc
2121
a +
exp(
c *
sow
ndiv
)56
.300
613
.667
-99.
480
14.5
490.
00
Mic
robi
al re
spir
atio
nPk
391
b *
sow
ndiv
^c59
.873
99.
111
-99.
245
14.7
840.
00
Mic
robi
al re
spir
atio
nEb
1511
a +
exp(
c *
sow
ndiv
)56
.116
613
.667
-99.
112
14.9
170.
00
Mic
robi
al re
spir
atio
nPr
3221
a +
b *
sow
ndiv
58.5
078
10.2
50-9
9.04
114
.988
0.00
Mic
robi
al re
spir
atio
nPk
381
a +
sow
ndiv
^c59
.658
99.
111
-98.
816
15.2
130.
00
Mic
robi
al re
spir
atio
nPf
121
a +
b *
sow
ndiv
54.6
745
16.4
00-9
8.55
815
.471
0.00
Mic
robi
al re
spir
atio
nM
932
a *
sow
ndiv
/(b
+ so
wnd
iv)
60.7
6610
8.20
0-9
8.43
315
.597
0.00
Mic
robi
al re
spir
atio
nEf
3911
a +
exp(
c *
sow
ndiv
)58
.200
810
.250
-98.
428
15.6
010.
00
Mic
robi
al re
spir
atio
nPj
321
a +
b *
sow
ndiv
56.8
397
11.7
14-9
8.16
415
.865
0.00
Mic
robi
al re
spir
atio
nPi
271
a +
b *
sow
ndiv
56.8
347
11.7
14-9
8.15
415
.876
0.00
Mic
robi
al re
spir
atio
nPp
2221
a +
b *
sow
ndiv
58.0
338
10.2
50-9
8.09
315
.936
0.00
Mic
robi
al re
spir
atio
nPh
221
a +
b *
sow
ndiv
56.3
877
11.7
14-9
7.26
016
.769
0.00
Supplementary Table 2 (continued)
SUPPLEMENTARY INFORMATIONRESEARCHdoi:10.1038/nature09492
WWW NATURE.COM/NATURE | 41
Long
var
iabl
e na
me
mod
el n
ame
mod
el fo
rmul
aLL
KN
2KA
ICc
delt
AIC
cw
_ic
Mic
robi
al re
spir
atio
nPg
171
a +
b *
sow
ndiv
53.9
045
16.4
00-9
7.01
917
.010
0.00
Mic
robi
al re
spir
atio
nPs
3931
b *
sow
ndiv
^c59
.968
108.
200
-96.
836
17.1
930.
00
Mic
robi
al re
spir
atio
nPm
1231
a +
b *
sow
ndiv
54.7
566
13.6
67-9
6.39
217
.637
0.00
Mic
robi
al re
spir
atio
nPs
3831
a +
sow
ndiv
^c59
.692
108.
200
-96.
285
17.7
450.
00
Mic
robi
al re
spir
atio
nPn
1721
a +
b *
sow
ndiv
54.6
366
13.6
67-9
6.15
317
.876
0.00
Mic
robi
al re
spir
atio
nEb
1521
a +
exp(
c *
sow
ndiv
)54
.591
613
.667
-96.
063
17.9
670.
00
Mic
robi
al re
spir
atio
nPr
3231
a +
b *
sow
ndiv
56.9
988
10.2
50-9
6.02
318
.007
0.00
Mic
robi
al re
spir
atio
nPq
2731
a +
b *
sow
ndiv
56.9
708
10.2
50-9
5.96
818
.061
0.00
Mic
robi
al re
spir
atio
nEa
911
a +
exp(
c *
sow
ndiv
)54
.458
613
.667
-95.
795
18.2
340.
00
Mic
robi
al re
spir
atio
nEf
3921
a +
exp(
c *
sow
ndiv
)56
.781
810
.250
-95.
589
18.4
400.
00
Mic
robi
al re
spir
atio
nPn
1731
a +
b *
sow
ndiv
54.1
926
13.6
67-9
5.26
318
.766
0.00
Mic
robi
al re
spir
atio
nL2
11so
wnd
iv +
func
gr +
leg
54.1
556
13.6
67-9
5.19
118
.838
0.00
Mic
robi
al re
spir
atio
nPa
2a
+ b
* so
wnd
iv50
.749
327
.333
-95.
190
18.8
390.
00
Mic
robi
al re
spir
atio
nPb
21a
+ b
* so
wnd
iv50
.749
327
.333
-95.
190
18.8
390.
00
Mic
robi
al re
spir
atio
nPp
2231
a +
b *
sow
ndiv
56.5
698
10.2
50-9
5.16
418
.865
0.00
Mic
robi
al re
spir
atio
nPs
3721
a +
b *
sow
ndiv
59.0
9710
8.20
0-9
5.09
518
.934
0.00
Mic
robi
al re
spir
atio
nEa
921
a +
exp(
c *
sow
ndiv
)54
.095
613
.667
-95.
070
18.9
590.
00
Mic
robi
al re
spir
atio
nPc
221
a +
b *
sow
ndiv
51.7
694
20.5
00-9
5.01
919
.010
0.00
Mic
robi
al re
spir
atio
nL2
sow
ndiv
+ fu
ncgr
+ le
g52
.741
516
.400
-94.
693
19.3
360.
00
Mic
robi
al re
spir
atio
nE3
1a
+ ex
p(c
* so
wnd
iv)
51.4
054
20.5
00-9
4.29
119
.738
0.00
Mic
robi
al re
spir
atio
nL0
2bl
ock
+ (s
ownd
iv +
func
gr +
gra
ss +
leg)
^267
.299
165.
125
-94.
229
19.8
010.
00
Mic
robi
al re
spir
atio
nPk
371
a +
b *
sow
ndiv
57.1
229
9.11
1-9
3.74
420
.285
0.00
Mic
robi
al re
spir
atio
nPc
231
a +
b *
sow
ndiv
50.8
024
20.5
00-9
3.08
420
.945
0.00
Mic
robi
al re
spir
atio
nE3
2a
+ ex
p(c
* so
wnd
iv)
50.6
684
20.5
00-9
2.81
621
.213
0.00
Mic
robi
al re
spir
atio
nL2
2so
wnd
iv +
func
gr +
leg
52.9
376
13.6
67-9
2.75
321
.276
0.00
Mic
robi
al re
spir
atio
nL2
22so
wnd
iv +
func
gr +
leg
52.8
396
13.6
67-9
2.55
821
.471
0.00
Mic
robi
al re
spir
atio
nL2
1so
wnd
iv +
func
gr +
leg
52.7
996
13.6
67-9
2.47
721
.552
0.00
Mic
robi
al re
spir
atio
nM
1432
d +
a *
sow
ndiv
/(b
+ so
wnd
iv)
59.1
1211
7.45
5-9
2.45
221
.578
0.00
Mic
robi
al re
spir
atio
nL0
1bl
ock
+ (s
ownd
iv +
func
gr +
gra
ss +
leg)
^266
.292
165.
125
-92.
215
21.8
150.
00
Mic
robi
al re
spir
atio
nPs
3731
a +
b *
sow
ndiv
57.2
6110
8.20
0-9
1.42
322
.606
0.00
Mic
robi
al re
spir
atio
nE2
a +
b *
exp(
sow
ndiv
)48
.244
327
.333
-90.
180
23.8
500.
00
Mic
robi
al re
spir
atio
nE2
2a
+ b
* ex
p(so
wnd
iv)
48.7
084
20.5
00-8
8.89
625
.133
0.00
Mic
robi
al re
spir
atio
nM
161
d +
a *
sow
ndiv
/(b
+ so
wnd
iv)
59.8
8313
6.30
8-8
8.41
325
.616
0.00
Supplementary Table 2 (continued)
SUPPLEMENTARY INFORMATIONRESEARCHdoi:10.1038/nature09492
WWW NATURE.COM/NATURE | 42
Long
var
iabl
e na
me
mod
el n
ame
mod
el fo
rmul
aLL
KN
2KA
ICc
delt
AIC
cw
_ic
Mic
robi
al re
spir
atio
nM
1621
d +
a *
sow
ndiv
/(b
+ so
wnd
iv)
61.2
2514
5.85
7-8
8.18
225
.847
0.00
Mic
robi
al re
spir
atio
nL0
bloc
k +
(sow
ndiv
+ fu
ncgr
+ g
rass
+ le
g)^2
61.9
1915
5.46
7-8
6.56
527
.465
0.00
Mic
robi
al re
spir
atio
nL0
11bl
ock
+ (s
ownd
iv +
func
gr +
gra
ss +
leg)
^263
.317
165.
125
-86.
265
27.7
640.
00
Mic
robi
al re
spir
atio
nL0
21bl
ock
+ (s
ownd
iv +
func
gr +
gra
ss +
leg)
^262
.589
165.
125
-84.
809
29.2
200.
00
Mic
robi
al re
spir
atio
nM
1632
d +
a *
sow
ndiv
/(b
+ so
wnd
iv)
59.4
8214
5.85
7-8
4.69
529
.334
0.00
Mic
robi
al re
spir
atio
nEc
2411
exp(
c *
sow
ndiv
)10
.156
420
.500
-11.
793
102.
236
0.00
Mic
robi
al re
spir
atio
nEf
4211
exp(
c *
sow
ndiv
)10
.038
516
.400
-9.2
8610
4.74
30.
00
Mic
robi
al re
spir
atio
nE6
1ex
p(c
* so
wnd
iv)
4.33
43
27.3
33-2
.360
111.
670
0.00
Mic
robi
al re
spir
atio
nEb
1811
exp(
c *
sow
ndiv
)4.
924
420
.500
-1.3
2811
2.70
10.
00
Mic
robi
al re
spir
atio
nEa
121
exp(
c *
sow
ndiv
)4.
341
420
.500
-0.1
6311
3.86
60.
00
Mic
robi
al re
spir
atio
nEc
2421
exp(
c *
sow
ndiv
)2.
870
420
.500
2.78
011
6.80
90.
00
Mic
robi
al re
spir
atio
nEf
4221
exp(
c *
sow
ndiv
)3.
632
516
.400
3.52
611
7.55
50.
00
Mic
robi
al re
spir
atio
nEd
3021
exp(
c *
sow
ndiv
)2.
873
516
.400
5.04
411
9.07
30.
00
Mic
robi
al re
spir
atio
nEc
24ex
p(c
* so
wnd
iv)
0.61
53
27.3
335.
078
119.
107
0.00
Mic
robi
al re
spir
atio
nE5
1b
* ex
p(so
wnd
iv)
-0.1
833
27.3
336.
673
120.
702
0.00
Mic
robi
al re
spir
atio
nE5
b *
exp(
sow
ndiv
)-3
.785
241
.000
11.7
2112
5.75
10.
00
Mic
robi
al re
spir
atio
nE6
2ex
p(c
* so
wnd
iv)
-2.7
293
27.3
3311
.765
125.
794
0.00
Mic
robi
al re
spir
atio
nEb
1821
exp(
c *
sow
ndiv
)-2
.195
420
.500
12.9
1012
6.94
00.
00
Mic
robi
al re
spir
atio
nE5
2b
* ex
p(so
wnd
iv)
-3.7
323
27.3
3313
.772
127.
801
0.00
Mic
robi
al re
spir
atio
nEa
1221
exp(
c *
sow
ndiv
)-2
.700
420
.500
13.9
1912
7.94
80.
00
Mic
robi
al re
spir
atio
nEb
18ex
p(c
* so
wnd
iv)
-3.8
303
27.3
3313
.968
127.
998
0.00
Mic
robi
al re
spir
atio
nEa
12ex
p(c
* so
wnd
iv)
-4.2
693
27.3
3314
.845
128.
874
0.00
Mic
robi
al re
spir
atio
nPe
1021
sow
ndiv
^c-2
0.44
14
20.5
0049
.401
163.
430
0.00
Mic
robi
al re
spir
atio
nPq
3021
sow
ndiv
^c-2
0.25
25
16.4
0051
.294
165.
324
0.00
Mic
robi
al re
spir
atio
nPp
2521
sow
ndiv
^c-2
0.31
05
16.4
0051
.409
165.
438
0.00
Mic
robi
al re
spir
atio
nPs
4021
sow
ndiv
^c-2
0.22
46
13.6
6753
.569
167.
598
0.00
Mic
robi
al re
spir
atio
nPr
3521
sow
ndiv
^c-2
1.78
85
16.4
0054
.366
168.
396
0.00
Mic
robi
al re
spir
atio
nPm
1521
sow
ndiv
^c-2
4.07
94
20.5
0056
.678
170.
708
0.00
Mic
robi
al re
spir
atio
nPn
2021
sow
ndiv
^c-2
5.63
44
20.5
0059
.788
173.
817
0.00
Mic
robi
al re
spir
atio
nPc
521
sow
ndiv
^c-2
8.00
23
27.3
3362
.312
176.
342
0.00
Mic
robi
al re
spir
atio
nPe
1031
sow
ndiv
^c-3
7.73
04
20.5
0083
.979
198.
008
0.00
Mic
robi
al re
spir
atio
nPq
3031
sow
ndiv
^c-3
7.69
35
16.4
0086
.175
200.
204
0.00
Mic
robi
al re
spir
atio
nPp
2531
sow
ndiv
^c-3
7.71
75
16.4
0086
.223
200.
252
0.00
Supplementary Table 2 (continued)
SUPPLEMENTARY INFORMATIONRESEARCHdoi:10.1038/nature09492
WWW NATURE.COM/NATURE | 43
Long
var
iabl
e na
me
mod
el n
ame
mod
el fo
rmul
aLL
KN
2KA
ICc
delt
AIC
cw
_ic
Mic
robi
al re
spir
atio
nPs
4031
sow
ndiv
^c-3
7.69
16
13.6
6788
.503
202.
532
0.00
Mic
robi
al re
spir
atio
nPr
3531
sow
ndiv
^c-3
8.99
95
16.4
0088
.788
202.
817
0.00
Mic
robi
al re
spir
atio
nPm
1531
sow
ndiv
^c-4
2.13
84
20.5
0092
.795
206.
825
0.00
Mic
robi
al re
spir
atio
nPn
2031
sow
ndiv
^c-4
3.37
64
20.5
0095
.271
209.
301
0.00
Mic
robi
al re
spir
atio
nPc
531
sow
ndiv
^c-4
7.57
13
27.3
3310
1.44
921
5.47
80.
00
Mic
robi
al re
spir
atio
nPd
101
sow
ndiv
^c-4
9.73
33
27.3
3310
5.77
421
9.80
30.
00
Mic
robi
al re
spir
atio
nPb
51so
wnd
iv^c
-51.
460
241
.000
107.
072
221.
101
0.00
Mic
robi
al re
spir
atio
nPa
5so
wnd
iv^c
-51.
460
241
.000
107.
072
221.
101
0.00
Mic
robi
al re
spir
atio
nPf
151
sow
ndiv
^c-5
0.45
33
27.3
3310
7.21
322
1.24
30.
00
Mic
robi
al re
spir
atio
nPi
301
sow
ndiv
^c-4
9.71
04
20.5
0010
7.94
022
1.96
90.
00
Mic
robi
al re
spir
atio
nPh
251
sow
ndiv
^c-4
9.73
34
20.5
0010
7.98
522
2.01
40.
00
Mic
robi
al re
spir
atio
nPj
351
sow
ndiv
^c-4
9.75
84
20.5
0010
8.03
522
2.06
40.
00
Mic
robi
al re
spir
atio
nPg
201
sow
ndiv
^c-5
0.89
93
27.3
3310
8.10
622
2.13
50.
00
Mic
robi
al re
spir
atio
nPk
401
sow
ndiv
^c-4
9.68
05
16.4
0011
0.14
922
4.17
80.
00
Mic
robi
al re
spir
atio
nEc
2221
a +
exp(
sow
ndiv
)-7
94.1
544
20.5
0015
96.8
2717
10.8
560.
00
Mic
robi
al re
spir
atio
nEe
342
a +
exp(
sow
ndiv
)-7
94.1
525
16.4
0015
99.0
9417
13.1
240.
00
Mic
robi
al re
spir
atio
nEd
2821
a +
exp(
sow
ndiv
)-7
94.1
545
16.4
0015
99.0
9717
13.1
260.
00
Mic
robi
al re
spir
atio
nEg
4621
a +
exp(
sow
ndiv
)-7
94.1
526
13.6
6716
01.4
2517
15.4
540.
00
Mic
robi
al re
spir
atio
nE4
2a
+ ex
p(so
wnd
iv)
-800
.938
327
.333
1608
.183
1722
.212
0.00
Mic
robi
al re
spir
atio
nEa
1021
a +
exp(
sow
ndiv
)-8
00.8
164
20.5
0016
10.1
5117
24.1
810.
00
Mic
robi
al re
spir
atio
nEb
1621
a +
exp(
sow
ndiv
)-8
00.8
394
20.5
0016
10.1
9817
24.2
270.
00
Mic
robi
al re
spir
atio
nEf
4021
a +
exp(
sow
ndiv
)-8
00.5
955
16.4
0016
11.9
7917
26.0
080.
00
Mic
robi
al re
spir
atio
nEb
1611
a +
exp(
sow
ndiv
)-1
703.
664
420
.500
3415
.847
3529
.876
0.00
Mic
robi
al re
spir
atio
nE4
1a
+ ex
p(so
wnd
iv)
-170
5.46
93
27.3
3334
17.2
4635
31.2
750.
00
Mic
robi
al re
spir
atio
nEf
4011
a +
exp(
sow
ndiv
)-1
703.
572
516
.400
3417
.933
3531
.962
0.00
Mic
robi
al re
spir
atio
nEe
341
a +
exp(
sow
ndiv
)-1
703.
664
516
.400
3418
.117
3532
.146
0.00
Mic
robi
al re
spir
atio
nEa
1011
a +
exp(
sow
ndiv
)-1
705.
442
420
.500
3419
.403
3533
.433
0.00
Mic
robi
al re
spir
atio
nEc
2211
a +
exp(
sow
ndiv
)-1
705.
469
420
.500
3419
.457
3533
.487
0.00
Mic
robi
al re
spir
atio
nEg
4611
a +
exp(
sow
ndiv
)-1
703.
572
613
.667
3420
.263
3534
.293
0.00
Mic
robi
al re
spir
atio
nEd
2811
a +
exp(
sow
ndiv
)-1
705.
442
516
.400
3421
.673
3535
.703
0.00
Mic
robi
al re
spir
atio
nEf
3721
a +
b *
exp(
c *
sow
ndiv
)-2
708.
060
117.
455
5441
.891
5555
.921
0.00
Mic
robi
al re
spir
atio
nEc
1921
a +
b *
exp(
c *
sow
ndiv
)-2
845.
250
810
.250
5708
.472
5822
.502
0.00
Mic
robi
al re
spir
atio
nE4
a +
exp(
sow
ndiv
)-4
912.
516
241
.000
9829
.183
9943
.212
0.00
Supplementary Table 2 (continued)
SUPPLEMENTARY INFORMATIONRESEARCHdoi:10.1038/nature09492
WWW NATURE.COM/NATURE | 44
Long
var
iabl
e na
me
mod
el n
ame
mod
el fo
rmul
aLL
KN
2KA
ICc
delt
AIC
cw
_ic
Mic
robi
al re
spir
atio
nEa
10a
+ ex
p(so
wnd
iv)
-491
2.51
63
27.3
3398
31.3
3999
45.3
680.
00
Mic
robi
al re
spir
atio
nEb
16a
+ ex
p(so
wnd
iv)
-491
2.51
63
27.3
3398
31.3
3999
45.3
680.
00
Mic
robi
al re
spir
atio
nEc
22a
+ ex
p(so
wnd
iv)
-491
2.51
63
27.3
3398
31.3
3999
45.3
680.
00
Mic
robi
al re
spir
atio
nEd
28a
+ ex
p(so
wnd
iv)
-491
2.51
64
20.5
0098
33.5
5199
47.5
800.
00
Mic
robi
al re
spir
atio
nEe
40a
+ ex
p(so
wnd
iv)
-491
2.51
64
20.5
0098
33.5
5199
47.5
800.
00
Mic
robi
al re
spir
atio
nEf
40a
+ ex
p(so
wnd
iv)
-491
2.51
64
20.5
0098
33.5
5199
47.5
800.
00
Mic
robi
al re
spir
atio
nEg
46a
+ ex
p(so
wnd
iv)
-491
2.51
65
16.4
0098
35.8
2199
49.8
500.
00
Sapr
opha
gous
mac
rofa
una
abun
danc
eM
1a
* so
wnd
iv/(
b +
sow
ndiv
)42
.594
326
.667
-78.
872
0.00
00.
20
Sapr
opha
gous
mac
rofa
una
abun
danc
eM
1aSS
mic
men
(sow
ndiv
, Vm
, k)
42.5
943
26.6
67-7
8.87
20.
000
0.20
Sapr
opha
gous
mac
rofa
una
abun
danc
ePa
3a
+ so
wnd
iv^c
42.4
933
26.6
67-7
8.67
00.
202
0.18
Sapr
opha
gous
mac
rofa
una
abun
danc
ePa
4b
* so
wnd
iv^c
42.2
803
26.6
67-7
8.24
40.
628
0.15
Sapr
opha
gous
mac
rofa
una
abun
danc
eLG
2SS
logi
s(so
wnd
iv, A
sym
, xm
id, s
cal)
43.2
534
20.0
00-7
7.97
20.
899
0.13
Sapr
opha
gous
mac
rofa
una
abun
danc
eM
2d
+ a
* so
wnd
iv/(
b +
sow
ndiv
)42
.838
420
.000
-77.
142
1.73
00.
09
Sapr
opha
gous
mac
rofa
una
abun
danc
ePa
2a
+ b
* so
wnd
iv40
.425
326
.667
-74.
535
4.33
70.
02
Sapr
opha
gous
mac
rofa
una
abun
danc
eL2
sow
ndiv
+ fu
ncgr
+ le
g42
.370
516
.000
-73.
929
4.94
30.
02
Sapr
opha
gous
mac
rofa
una
abun
danc
eE2
a +
b *
exp(
sow
ndiv
)39
.508
326
.667
-72.
700
6.17
10.
01
Sapr
opha
gous
mac
rofa
una
abun
danc
eL0
bloc
k +
(sow
ndiv
+ fu
ncgr
+ g
rass
+ le
g)^2
52.7
3015
5.33
3-6
7.96
010
.911
0.00
Sapr
opha
gous
mac
rofa
una
abun
danc
eE5
b *
exp(
sow
ndiv
)5.
689
240
.000
-7.2
2171
.650
0.00
Sapr
opha
gous
mac
rofa
una
abun
danc
ePa
5so
wnd
iv^c
-46.
774
240
.000
97.7
0417
6.57
60.
00
Sapr
opha
gous
mac
rofa
una
abun
danc
eE4
a +
exp(
sow
ndiv
)-4
793.
686
240
.000
9591
.527
9670
.399
0.00
Sapr
opha
gous
mac
rofa
una
dive
rsity
Pa2
a +
b *
sow
ndiv
2.96
23
26.6
670.
393
0.00
00.
23
Sapr
opha
gous
mac
rofa
una
dive
rsity
L2so
wnd
iv +
func
gr +
leg
4.62
15
16.0
001.
569
1.17
60.
13
Sapr
opha
gous
mac
rofa
una
dive
rsity
Pa4
b *
sow
ndiv
^c1.
968
326
.667
2.38
01.
988
0.08
Sapr
opha
gous
mac
rofa
una
dive
rsity
E2a
+ b
* ex
p(so
wnd
iv)
1.91
83
26.6
672.
479
2.08
60.
08
Sapr
opha
gous
mac
rofa
una
dive
rsity
LG2
SSlo
gis(
sow
ndiv
, Asy
m, x
mid
, sca
l)2.
976
420
.000
2.58
12.
188
0.08
Sapr
opha
gous
mac
rofa
una
dive
rsity
Pa1
a +
b *
sow
ndiv
^c2.
975
420
.000
2.58
32.
190
0.08
Sapr
opha
gous
mac
rofa
una
dive
rsity
AS2
SSas
ympO
ff(s
ownd
iv, A
sym
, lrc
, c0)
2.97
24
20.0
002.
589
2.19
60.
08
Sapr
opha
gous
mac
rofa
una
dive
rsity
AS1
SSas
ymp(
sow
ndiv
, Asy
m, R
0, lr
c)2.
972
420
.000
2.58
92.
196
0.08
Sapr
opha
gous
mac
rofa
una
dive
rsity
M2
d +
a *
sow
ndiv
/(b
+ so
wnd
iv)
2.97
24
20.0
002.
589
2.19
60.
08
Sapr
opha
gous
mac
rofa
una
dive
rsity
Pa3
a +
sow
ndiv
^c1.
784
326
.667
2.74
82.
355
0.07
Sapr
opha
gous
mac
rofa
una
dive
rsity
M1a
SSm
icm
en(s
ownd
iv, V
m, k
)0.
283
326
.667
5.75
05.
357
0.02
Sapr
opha
gous
mac
rofa
una
dive
rsity
M1
a *
sow
ndiv
/(b
+ so
wnd
iv)
0.28
33
26.6
675.
750
5.35
70.
02
Sapr
opha
gous
mac
rofa
una
dive
rsity
AS3
SSas
ympO
rig(s
ownd
iv, A
sym
, lrc
)-0
.271
326
.667
6.85
86.
466
0.01
Supplementary Table 2 (continued)
SUPPLEMENTARY INFORMATIONRESEARCHdoi:10.1038/nature09492
WWW NATURE.COM/NATURE | 45
Long
var
iabl
e na
me
mod
el n
ame
mod
el fo
rmul
aLL
KN
2KA
ICc
delt
AIC
cw
_ic
Sapr
opha
gous
mac
rofa
una
dive
rsity
L0bl
ock
+ (s
ownd
iv +
func
gr +
gra
ss +
leg)
^211
.769
155.
333
13.9
6313
.570
0.00
Sapr
opha
gous
mac
rofa
una
dive
rsity
Pa5
sow
ndiv
^c-4
2.09
42
40.0
0088
.344
87.9
520.
00
Sapr
opha
gous
mac
rofa
una
dive
rsity
E5b
* ex
p(so
wnd
iv)
-60.
104
240
.000
124.
364
123.
971
0.00
Sapr
opha
gous
mac
rofa
una
dive
rsity
E4a
+ ex
p(so
wnd
iv)
-479
3.68
62
40.0
0095
91.5
2795
91.1
350.
00
Her
bivo
rous
mac
rofa
una
abun
danc
ePa
2a
+ b
* so
wnd
iv13
.870
326
.667
-21.
424
0.00
00.
18
Her
bivo
rous
mac
rofa
una
abun
danc
ePa
4b
* so
wnd
iv^c
13.4
873
26.6
67-2
0.65
90.
766
0.12
Her
bivo
rous
mac
rofa
una
abun
danc
ePa
3a
+ so
wnd
iv^c
13.3
583
26.6
67-2
0.39
91.
025
0.10
Her
bivo
rous
mac
rofa
una
abun
danc
eE2
a +
b *
exp(
sow
ndiv
)13
.291
326
.667
-20.
266
1.15
80.
10
Her
bivo
rous
mac
rofa
una
abun
danc
eAS
3SS
asym
pOrig
(sow
ndiv
, Asy
m, l
rc)
12.8
453
26.6
67-1
9.37
42.
050
0.06
Her
bivo
rous
mac
rofa
una
abun
danc
eM
1a
* so
wnd
iv/(
b +
sow
ndiv
)12
.817
326
.667
-19.
318
2.10
60.
06
Her
bivo
rous
mac
rofa
una
abun
danc
eM
1aSS
mic
men
(sow
ndiv
, Vm
, k)
12.8
173
26.6
67-1
9.31
82.
106
0.06
Her
bivo
rous
mac
rofa
una
abun
danc
ePa
1a
+ b
* so
wnd
iv^c
13.8
764
20.0
00-1
9.21
92.
205
0.06
Her
bivo
rous
mac
rofa
una
abun
danc
eLG
2SS
logi
s(so
wnd
iv, A
sym
, xm
id, s
cal)
13.8
764
20.0
00-1
9.21
82.
206
0.06
Her
bivo
rous
mac
rofa
una
abun
danc
eA
S2SS
asym
pOff
(sow
ndiv
, Asy
m, l
rc, c
0)13
.871
420
.000
-19.
209
2.21
50.
06
Her
bivo
rous
mac
rofa
una
abun
danc
eAS
1SS
asym
p(so
wnd
iv, A
sym
, R0,
lrc)
13.8
714
20.0
00-1
9.20
92.
215
0.06
Her
bivo
rous
mac
rofa
una
abun
danc
eM
2d
+ a
* so
wnd
iv/(
b +
sow
ndiv
)13
.871
420
.000
-19.
209
2.21
50.
06
Her
bivo
rous
mac
rofa
una
abun
danc
eL2
sow
ndiv
+ fu
ncgr
+ le
g14
.184
516
.000
-17.
557
3.86
70.
03
Her
bivo
rous
mac
rofa
una
abun
danc
eL0
bloc
k +
(sow
ndiv
+ fu
ncgr
+ g
rass
+ le
g)^2
24.6
9715
5.33
3-1
1.89
49.
530
0.00
Her
bivo
rous
mac
rofa
una
abun
danc
eE5
b *
exp(
sow
ndiv
)-1
9.87
32
40.0
0043
.901
65.3
260.
00
Her
bivo
rous
mac
rofa
una
abun
danc
ePa
5so
wnd
iv^c
-50.
540
240
.000
105.
237
126.
661
0.00
Her
bivo
rous
mac
rofa
una
abun
danc
eE4
a +
exp(
sow
ndiv
)-4
793.
686
240
.000
9591
.527
9612
.952
0.00
Her
bivo
rous
mac
rofa
una
dive
rsity
Pa3
a +
sow
ndiv
^c10
.690
326
.667
-15.
064
0.00
00.
19
Her
bivo
rous
mac
rofa
una
dive
rsity
Pa4
b *
sow
ndiv
^c10
.557
326
.667
-14.
798
0.26
60.
17
Her
bivo
rous
mac
rofa
una
dive
rsity
M1a
SSm
icm
en(s
ownd
iv, V
m, k
)10
.553
326
.667
-14.
790
0.27
40.
17
Her
bivo
rous
mac
rofa
una
dive
rsity
M1
a *
sow
ndiv
/(b
+ so
wnd
iv)
10.5
533
26.6
67-1
4.79
00.
274
0.17
Her
bivo
rous
mac
rofa
una
dive
rsity
AS3
SSas
ympO
rig(s
ownd
iv, A
sym
, lrc
)10
.081
326
.667
-13.
846
1.21
80.
11
Her
bivo
rous
mac
rofa
una
dive
rsity
M2
d +
a *
sow
ndiv
/(b
+ so
wnd
iv)
10.5
544
20.0
00-1
2.57
52.
489
0.06
Her
bivo
rous
mac
rofa
una
dive
rsity
AS1
SSas
ymp(
sow
ndiv
, Asy
m, R
0, lr
c)10
.059
420
.000
-11.
584
3.48
00.
03
Her
bivo
rous
mac
rofa
una
dive
rsity
AS2
SSas
ympO
ff(s
ownd
iv, A
sym
, lrc
, c0)
10.0
594
20.0
00-1
1.58
43.
480
0.03
Her
bivo
rous
mac
rofa
una
dive
rsity
LG2
SSlo
gis(
sow
ndiv
, Asy
m, x
mid
, sca
l)9.
860
420
.000
-11.
187
3.87
70.
03
Her
bivo
rous
mac
rofa
una
dive
rsity
Pa2
a +
b *
sow
ndiv
8.72
23
26.6
67-1
1.12
93.
935
0.03
Her
bivo
rous
mac
rofa
una
dive
rsity
L2so
wnd
iv +
func
gr +
leg
9.90
65
16.0
00-9
.002
6.06
20.
01
Her
bivo
rous
mac
rofa
una
dive
rsity
E2a
+ b
* ex
p(so
wnd
iv)
6.93
13
26.6
67-7
.547
7.51
80.
00
Supplementary Table 2 (continued)
SUPPLEMENTARY INFORMATIONRESEARCHdoi:10.1038/nature09492
WWW NATURE.COM/NATURE | 46
Long
var
iabl
e na
me
mod
el n
ame
mod
el fo
rmul
aLL
KN
2KA
ICc
delt
AIC
cw
_ic
Her
bivo
rous
mac
rofa
una
dive
rsity
L0bl
ock
+ (s
ownd
iv +
func
gr +
gra
ss +
leg)
^221
.929
155.
333
-6.3
598.
705
0.00
Her
bivo
rous
mac
rofa
una
dive
rsity
E5b
* ex
p(so
wnd
iv)
-42.
733
240
.000
89.6
2110
4.68
50.
00
Her
bivo
rous
mac
rofa
una
dive
rsity
Pa5
sow
ndiv
^c-4
9.61
22
40.0
0010
3.38
011
8.44
40.
00
Her
bivo
rous
mac
rofa
una
dive
rsity
E4a
+ ex
p(so
wnd
iv)
-479
3.68
62
40.0
0095
91.5
2796
06.5
920.
00
Pred
ator
y m
acro
faun
a ab
unda
nce
E2a
+ b
* ex
p(so
wnd
iv)
35.9
383
26.6
67-6
5.56
00.
000
0.20
Pred
ator
y m
acro
faun
a ab
unda
nce
Pa2
a +
b *
sow
ndiv
35.8
653
26.6
67-6
5.41
40.
145
0.18
Pred
ator
y m
acro
faun
a ab
unda
nce
Pa4
b *
sow
ndiv
^c35
.471
326
.667
-64.
626
0.93
40.
12
Pred
ator
y m
acro
faun
a ab
unda
nce
Pa3
a +
sow
ndiv
^c35
.441
326
.667
-64.
567
0.99
30.
12
Pred
ator
y m
acro
faun
a ab
unda
nce
AS3
SSas
ympO
rig(s
ownd
iv, A
sym
, lrc
)35
.269
326
.667
-64.
223
1.33
70.
10
Pred
ator
y m
acro
faun
a ab
unda
nce
M1a
SSm
icm
en(s
ownd
iv, V
m, k
)35
.267
326
.667
-64.
218
1.34
20.
10
Pred
ator
y m
acro
faun
a ab
unda
nce
M1
a *
sow
ndiv
/(b
+ so
wnd
iv)
35.2
673
26.6
67-6
4.21
81.
342
0.10
Pred
ator
y m
acro
faun
a ab
unda
nce
L2so
wnd
iv +
func
gr +
leg
36.5
355
16.0
00-6
2.26
03.
300
0.04
Pred
ator
y m
acro
faun
a ab
unda
nce
L0bl
ock
+ (s
ownd
iv +
func
gr +
gra
ss +
leg)
^249
.549
155.
333
-61.
599
3.96
10.
03
Pred
ator
y m
acro
faun
a ab
unda
nce
E5b
* ex
p(so
wnd
iv)
10.7
762
40.0
00-1
7.39
748
.163
0.00
Pred
ator
y m
acro
faun
a ab
unda
nce
Pa5
sow
ndiv
^c-4
4.44
82
40.0
0093
.053
158.
612
0.00
Pred
ator
y m
acro
faun
a ab
unda
nce
E4a
+ ex
p(so
wnd
iv)
-479
3.68
62
40.0
0095
91.5
2796
57.0
870.
00
Pred
ator
y m
acro
faun
a di
vers
ityL0
bloc
k +
(sow
ndiv
+ fu
ncgr
+ g
rass
+ le
g)^2
23.6
4915
5.33
3-9
.798
0.00
00.
18
Pred
ator
y m
acro
faun
a di
vers
ityA
S3SS
asym
pOrig
(sow
ndiv
, Asy
m, l
rc)
7.65
23
26.6
67-8
.988
0.81
10.
12
Pred
ator
y m
acro
faun
a di
vers
ityM
1a
* so
wnd
iv/(
b +
sow
ndiv
)7.
521
326
.667
-8.7
261.
073
0.11
Pred
ator
y m
acro
faun
a di
vers
ityM
1aSS
mic
men
(sow
ndiv
, Vm
, k)
7.52
13
26.6
67-8
.726
1.07
30.
11
Pred
ator
y m
acro
faun
a di
vers
ityPa
2a
+ b
* so
wnd
iv7.
513
326
.667
-8.7
091.
089
0.11
Pred
ator
y m
acro
faun
a di
vers
ityE2
a +
b *
exp(
sow
ndiv
)7.
498
326
.667
-8.6
811.
118
0.11
Pred
ator
y m
acro
faun
a di
vers
ityPa
4b
* so
wnd
iv^c
7.46
73
26.6
67-8
.618
1.18
10.
10
Pred
ator
y m
acro
faun
a di
vers
ityPa
3a
+ so
wnd
iv^c
7.46
63
26.6
67-8
.617
1.18
10.
10
Pred
ator
y m
acro
faun
a di
vers
ityPa
1a
+ b
* so
wnd
iv^c
7.51
94
20.0
00-6
.506
3.29
30.
04
Pred
ator
y m
acro
faun
a di
vers
ityL2
sow
ndiv
+ fu
ncgr
+ le
g8.
364
516
.000
-5.9
183.
881
0.03
Pred
ator
y m
acro
faun
a di
vers
ityPa
5so
wnd
iv^c
-37.
843
240
.000
79.8
4189
.640
0.00
Pred
ator
y m
acro
faun
a di
vers
ityE5
b *
exp(
sow
ndiv
)-5
1.15
22
40.0
0010
6.46
011
6.25
90.
00
Pred
ator
y m
acro
faun
a di
vers
ityE4
a +
exp(
sow
ndiv
)-4
793.
686
240
.000
9591
.527
9601
.326
0.00
Amoe
bae
abun
danc
eL2
sow
ndiv
+ fu
ncgr
+ le
g4.
083
52.
400
11.8
34In
fN
A
Amoe
bae
abun
danc
eE1
a +
b *
exp(
c *
sow
ndiv
)2.
516
43.
000
8.68
2In
fN
A
Amoe
bae
abun
danc
eE2
a +
b *
exp(
sow
ndiv
)2.
514
34.
000
3.97
1In
fN
A
Amoe
bae
abun
danc
eE3
a +
exp(
c *
sow
ndiv
)2.
395
34.
000
4.21
1In
fN
A
Supplementary Table 2 (continued)
SUPPLEMENTARY INFORMATIONRESEARCHdoi:10.1038/nature09492
WWW NATURE.COM/NATURE | 47
Long
var
iabl
e na
me
mod
el n
ame
mod
el fo
rmul
aLL
KN
2KA
ICc
delt
AIC
cw
_ic
Amoe
bae
abun
danc
eE4
a +
exp(
sow
ndiv
)-2
00.0
032
6.00
040
5.33
9In
fN
A
Amoe
bae
abun
danc
eE5
b *
exp(
sow
ndiv
)2.
201
26.
000
0.93
1In
fN
A
Amoe
bae
abun
danc
eE6
exp(
c *
sow
ndiv
)-3
.953
26.
000
13.2
39In
fN
A
Amoe
bae
abun
danc
ePa
2a
+ b
* so
wnd
iv2.
344
34.
000
4.31
3In
fN
A
Amoe
bae
abun
danc
ePa
3a
+ so
wnd
iv^c
1.47
03
4.00
06.
059
Inf
NA
Amoe
bae
abun
danc
ePa
4b
* so
wnd
iv^c
2.42
43
4.00
04.
151
Inf
NA
Amoe
bae
abun
danc
ePa
5so
wnd
iv^c
-11.
612
26.
000
28.5
57In
fN
A
Amoe
bae
abun
danc
eL0
bloc
k +
(sow
ndiv
+ fu
ncgr
+ g
rass
+ le
g)^2
Inf
130.
923
#NA
ME?
NA
NA
Flag
ella
te a
bund
ance
L2so
wnd
iv +
func
gr +
leg
-2.3
365
2.40
024
.672
Inf
NA
Flag
ella
te a
bund
ance
M1
a *
sow
ndiv
/(b
+ so
wnd
iv)
-3.2
373
4.00
015
.473
Inf
NA
Flag
ella
te a
bund
ance
M1a
SSm
icm
en(s
ownd
iv, V
m, k
)-3
.237
34.
000
15.4
73In
fN
A
Flag
ella
te a
bund
ance
E2a
+ b
* ex
p(so
wnd
iv)
-3.2
543
4.00
015
.508
Inf
NA
Flag
ella
te a
bund
ance
E3a
+ ex
p(c
* so
wnd
iv)
-3.2
853
4.00
015
.570
Inf
NA
Flag
ella
te a
bund
ance
E4a
+ ex
p(so
wnd
iv)
-200
.003
26.
000
405.
339
Inf
NA
Flag
ella
te a
bund
ance
E5b
* ex
p(so
wnd
iv)
-10.
527
26.
000
26.3
87In
fN
A
Flag
ella
te a
bund
ance
E6ex
p(c
* so
wnd
iv)
-6.3
442
6.00
018
.021
Inf
NA
Flag
ella
te a
bund
ance
Pa2
a +
b *
sow
ndiv
-3.2
853
4.00
015
.570
Inf
NA
Flag
ella
te a
bund
ance
Pa3
a +
sow
ndiv
^c-3
.290
34.
000
15.5
79In
fN
A
Flag
ella
te a
bund
ance
Pa4
b *
sow
ndiv
^c-3
.290
34.
000
15.5
80In
fN
A
Flag
ella
te a
bund
ance
Pa5
sow
ndiv
^c-6
.575
26.
000
18.4
83In
fN
A
Flag
ella
te a
bund
ance
L0bl
ock
+ (s
ownd
iv +
func
gr +
gra
ss +
leg)
^2In
f13
0.92
3#N
AM
E?N
AN
A
Bact
eria
-fee
ding
nem
atod
e di
vers
ityL2
sow
ndiv
+ fu
ncgr
+ le
g-0
.372
514
.400
11.6
530.
000
0.52
Bact
eria
-fee
ding
nem
atod
e di
vers
ityPa
2a
+ b
* so
wnd
iv-4
.300
324
.000
14.9
533.
301
0.10
Bact
eria
-fee
ding
nem
atod
e di
vers
ityPa
4b
* so
wnd
iv^c
-4.8
583
24.0
0016
.068
4.41
60.
06
Bact
eria
-fee
ding
nem
atod
e di
vers
ityPa
3a
+ so
wnd
iv^c
-4.9
613
24.0
0016
.275
4.62
30.
05
Bact
eria
-fee
ding
nem
atod
e di
vers
ityLG
2SS
logi
s(so
wnd
iv, A
sym
, xm
id, s
cal)
-4.0
854
18.0
0016
.767
5.11
40.
04
Bact
eria
-fee
ding
nem
atod
e di
vers
ityA
S2SS
asym
pOff
(sow
ndiv
, Asy
m, l
rc, c
0)-4
.125
418
.000
16.8
485.
195
0.04
Bact
eria
-fee
ding
nem
atod
e di
vers
ityAS
1SS
asym
p(so
wnd
iv, A
sym
, R0,
lrc)
-4.1
254
18.0
0016
.848
5.19
50.
04
Bact
eria
-fee
ding
nem
atod
e di
vers
ityM
2d
+ a
* so
wnd
iv/(
b +
sow
ndiv
)-4
.140
418
.000
16.8
775.
225
0.04
Bact
eria
-fee
ding
nem
atod
e di
vers
ityE2
a +
b *
exp(
sow
ndiv
)-5
.317
324
.000
16.9
865.
333
0.04
Bact
eria
-fee
ding
nem
atod
e di
vers
ityPa
1a
+ b
* so
wnd
iv^c
-4.2
274
18.0
0017
.050
5.39
70.
04
Bact
eria
-fee
ding
nem
atod
e di
vers
ityM
1aSS
mic
men
(sow
ndiv
, Vm
, k)
-6.1
023
24.0
0018
.557
6.90
40.
02
Bact
eria
-fee
ding
nem
atod
e di
vers
ityM
1a
* so
wnd
iv/(
b +
sow
ndiv
)-6
.102
324
.000
18.5
576.
904
0.02
Supplementary Table 2 (continued)
SUPPLEMENTARY INFORMATIONRESEARCHdoi:10.1038/nature09492
WWW NATURE.COM/NATURE | 48
Long
var
iabl
e na
me
mod
el n
ame
mod
el fo
rmul
aLL
KN
2KA
ICc
delt
AIC
cw
_ic
Bact
eria
-fee
ding
nem
atod
e di
vers
ityAS
3SS
asym
pOrig
(sow
ndiv
, Asy
m, l
rc)
-6.5
523
24.0
0019
.457
7.80
40.
01
Bact
eria
-fee
ding
nem
atod
e di
vers
ityL0
bloc
k +
(sow
ndiv
+ fu
ncgr
+ g
rass
+ le
g)^2
5.61
915
4.80
027
.333
15.6
800.
00
Bact
eria
-fee
ding
nem
atod
e di
vers
ityPa
5so
wnd
iv^c
-38.
237
236
.000
80.6
4868
.996
0.00
Bact
eria
-fee
ding
nem
atod
e di
vers
ityE5
b *
exp(
sow
ndiv
)-5
6.67
82
36.0
0011
7.52
910
5.87
70.
00
Bact
eria
-fee
ding
nem
atod
e di
vers
ityE4
a +
exp(
sow
ndiv
)-4
307.
754
236
.000
8619
.681
8608
.029
0.00
Hyp
heno
phag
ous
nem
atod
e di
vers
ityE2
a +
b *
exp(
sow
ndiv
)-6
.338
324
.000
19.0
300.
000
0.18
Hyp
heno
phag
ous
nem
atod
e di
vers
ityPa
2a
+ b
* so
wnd
iv-6
.442
324
.000
19.2
370.
207
0.16
Hyp
heno
phag
ous
nem
atod
e di
vers
ityA
S3SS
asym
pOrig
(sow
ndiv
, Asy
m, l
rc)
-6.6
313
24.0
0019
.615
0.58
50.
13
Hyp
heno
phag
ous
nem
atod
e di
vers
ityPa
4b
* so
wnd
iv^c
-6.6
823
24.0
0019
.716
0.68
60.
13
Hyp
heno
phag
ous
nem
atod
e di
vers
ityPa
3a
+ so
wnd
iv^c
-6.6
833
24.0
0019
.719
0.68
90.
12
Hyp
heno
phag
ous
nem
atod
e di
vers
ityM
1aSS
mic
men
(sow
ndiv
, Vm
, k)
-6.7
143
24.0
0019
.781
0.75
10.
12
Hyp
heno
phag
ous
nem
atod
e di
vers
ityM
1a
* so
wnd
iv/(
b +
sow
ndiv
)-6
.714
324
.000
19.7
810.
751
0.12
Hyp
heno
phag
ous
nem
atod
e di
vers
ityL2
sow
ndiv
+ fu
ncgr
+ le
g-5
.536
514
.400
21.9
822.
952
0.04
Hyp
heno
phag
ous
nem
atod
e di
vers
ityL0
bloc
k +
(sow
ndiv
+ fu
ncgr
+ g
rass
+ le
g)^2
-2.4
4315
4.80
043
.457
24.4
270.
00
Hyp
heno
phag
ous
nem
atod
e di
vers
ityPa
5so
wnd
iv^c
-27.
188
236
.000
58.5
5139
.521
0.00
Hyp
heno
phag
ous
nem
atod
e di
vers
ityE5
b *
exp(
sow
ndiv
)-7
0.27
02
36.0
0014
4.71
312
5.68
30.
00
Hyp
heno
phag
ous
nem
atod
e di
vers
ityE4
a +
exp(
sow
ndiv
)-4
307.
754
236
.000
8619
.681
8600
.651
0.00
Om
nivo
rous
nem
atod
e di
vers
ityL0
bloc
k +
(sow
ndiv
+ fu
ncgr
+ g
rass
+ le
g)^2
9.27
315
4.80
020
.025
0.00
00.
95
Om
nivo
rous
nem
atod
e di
vers
ityE2
a +
b *
exp(
sow
ndiv
)-1
1.04
83
24.0
0028
.450
8.42
50.
01
Om
nivo
rous
nem
atod
e di
vers
ityPa
2a
+ b
* so
wnd
iv-1
1.33
23
24.0
0029
.016
8.99
20.
01
Om
nivo
rous
nem
atod
e di
vers
ityPa
4b
* so
wnd
iv^c
-11.
932
324
.000
30.2
1710
.192
0.01
Om
nivo
rous
nem
atod
e di
vers
ityPa
3a
+ so
wnd
iv^c
-11.
939
324
.000
30.2
3110
.207
0.01
Om
nivo
rous
nem
atod
e di
vers
ityM
1a
* so
wnd
iv/(
b +
sow
ndiv
)-1
1.96
73
24.0
0030
.286
10.2
610.
01
Om
nivo
rous
nem
atod
e di
vers
ityM
1aSS
mic
men
(sow
ndiv
, Vm
, k)
-11.
967
324
.000
30.2
8610
.261
0.01
Om
nivo
rous
nem
atod
e di
vers
ityL2
sow
ndiv
+ fu
ncgr
+ le
g-1
0.38
85
14.4
0031
.685
11.6
610.
00
Om
nivo
rous
nem
atod
e di
vers
ityPa
5so
wnd
iv^c
-41.
636
236
.000
87.4
4667
.421
0.00
Om
nivo
rous
nem
atod
e di
vers
ityE5
b *
exp(
sow
ndiv
)-4
5.88
52
36.0
0095
.944
75.9
190.
00
Om
nivo
rous
nem
atod
e di
vers
ityE4
a +
exp(
sow
ndiv
)-4
307.
754
236
.000
8619
.681
8599
.657
0.00
Plan
t-fe
edin
g ne
mat
ode
dive
rsity
Pa4
b *
sow
ndiv
^c5.
971
324
.000
-5.5
890.
000
0.17
Plan
t-fe
edin
g ne
mat
ode
dive
rsity
Pa3
a +
sow
ndiv
^c5.
918
324
.000
-5.4
830.
106
0.16
Plan
t-fe
edin
g ne
mat
ode
dive
rsity
Pa2
a +
b *
sow
ndiv
5.55
13
24.0
00-4
.749
0.84
00.
11
Plan
t-fe
edin
g ne
mat
ode
dive
rsity
L2so
wnd
iv +
func
gr +
leg
7.36
75
14.4
00-3
.826
1.76
30.
07
Plan
t-fe
edin
g ne
mat
ode
dive
rsity
M1
a *
sow
ndiv
/(b
+ so
wnd
iv)
5.03
63
24.0
00-3
.718
1.87
10.
07
Supplementary Table 2 (continued)
SUPPLEMENTARY INFORMATIONRESEARCHdoi:10.1038/nature09492
WWW NATURE.COM/NATURE | 49
Long
var
iabl
e na
me
mod
el n
ame
mod
el fo
rmul
aLL
KN
2KA
ICc
delt
AIC
cw
_ic
Plan
t-fe
edin
g ne
mat
ode
dive
rsity
M1a
SSm
icm
en(s
ownd
iv, V
m, k
)5.
036
324
.000
-3.7
181.
871
0.07
Plan
t-fe
edin
g ne
mat
ode
dive
rsity
Pa1
a +
b *
sow
ndiv
^c6.
060
418
.000
-3.5
232.
066
0.06
Plan
t-fe
edin
g ne
mat
ode
dive
rsity
M2
d +
a *
sow
ndiv
/(b
+ so
wnd
iv)
6.01
74
18.0
00-3
.437
2.15
20.
06
Plan
t-fe
edin
g ne
mat
ode
dive
rsity
AS1
SSas
ymp(
sow
ndiv
, Asy
m, R
0, lr
c)6.
000
418
.000
-3.4
042.
185
0.06
Plan
t-fe
edin
g ne
mat
ode
dive
rsity
AS2
SSas
ympO
ff(s
ownd
iv, A
sym
, lrc
, c0)
6.00
04
18.0
00-3
.404
2.18
50.
06
Plan
t-fe
edin
g ne
mat
ode
dive
rsity
LG2
SSlo
gis(
sow
ndiv
, Asy
m, x
mid
, sca
l)5.
979
418
.000
-3.3
602.
229
0.06
Plan
t-fe
edin
g ne
mat
ode
dive
rsity
E2a
+ b
* ex
p(so
wnd
iv)
4.29
03
24.0
00-2
.227
3.36
20.
03
Plan
t-fe
edin
g ne
mat
ode
dive
rsity
AS3
SSas
ympO
rig(s
ownd
iv, A
sym
, lrc
)4.
224
324
.000
-2.0
963.
493
0.03
Plan
t-fe
edin
g ne
mat
ode
dive
rsity
L0bl
ock
+ (s
ownd
iv +
func
gr +
gra
ss +
leg)
^218
.509
154.
800
1.55
47.
143
0.00
Plan
t-fe
edin
g ne
mat
ode
dive
rsity
Pa5
sow
ndiv
^c-3
6.71
82
36.0
0077
.610
83.1
990.
00
Plan
t-fe
edin
g ne
mat
ode
dive
rsity
E5b
* ex
p(so
wnd
iv)
-54.
298
236
.000
112.
770
118.
359
0.00
Plan
t-fe
edin
g ne
mat
ode
dive
rsity
E4a
+ ex
p(so
wnd
iv)
-430
7.75
42
36.0
0086
19.6
8186
25.2
700.
00
Pred
ator
y ne
mat
ode
dive
rsity
E2a
+ b
* ex
p(so
wnd
iv)
0.05
33
24.0
006.
246
0.00
00.
70
Pred
ator
y ne
mat
ode
dive
rsity
Pa2
a +
b *
sow
ndiv
-1.4
253
24.0
009.
204
2.95
80.
16
Pred
ator
y ne
mat
ode
dive
rsity
L2so
wnd
iv +
func
gr +
leg
-0.2
505
14.4
0011
.409
5.16
30.
05
Pred
ator
y ne
mat
ode
dive
rsity
Pa4
b *
sow
ndiv
^c-3
.313
324
.000
12.9
796.
733
0.02
Pred
ator
y ne
mat
ode
dive
rsity
Pa3
a +
sow
ndiv
^c-3
.437
324
.000
13.2
266.
980
0.02
Pred
ator
y ne
mat
ode
dive
rsity
M1a
SSm
icm
en(s
ownd
iv, V
m, k
)-3
.596
324
.000
13.5
467.
299
0.02
Pred
ator
y ne
mat
ode
dive
rsity
M1
a *
sow
ndiv
/(b
+ so
wnd
iv)
-3.5
963
24.0
0013
.546
7.29
90.
02
Pred
ator
y ne
mat
ode
dive
rsity
AS3
SSas
ympO
rig(s
ownd
iv, A
sym
, lrc
)-7
.114
324
.000
20.5
8214
.336
0.00
Pred
ator
y ne
mat
ode
dive
rsity
L0bl
ock
+ (s
ownd
iv +
func
gr +
gra
ss +
leg)
^25.
297
154.
800
27.9
7721
.731
0.00
Pred
ator
y ne
mat
ode
dive
rsity
E5b
* ex
p(so
wnd
iv)
-12.
484
236
.000
29.1
4222
.896
0.00
Pred
ator
y ne
mat
ode
dive
rsity
Pa5
sow
ndiv
^c-4
7.02
02
36.0
0098
.214
91.9
680.
00
Pred
ator
y ne
mat
ode
dive
rsity
E4a
+ ex
p(so
wnd
iv)
-430
7.75
42
36.0
0086
19.6
8186
13.4
350.
00
Plan
t-fe
edin
g ne
mat
ode
abun
danc
ePa
3a
+ so
wnd
iv^c
12.7
273
24.3
33-1
9.10
50.
000
0.13
Plan
t-fe
edin
g ne
mat
ode
abun
danc
ePa
4b
* so
wnd
iv^c
12.7
243
24.3
33-1
9.10
10.
004
0.13
Plan
t-fe
edin
g ne
mat
ode
abun
danc
eM
1aSS
mic
men
(sow
ndiv
, Vm
, k)
12.6
963
24.3
33-1
9.04
40.
062
0.12
Plan
t-fe
edin
g ne
mat
ode
abun
danc
eM
1a
* so
wnd
iv/(
b +
sow
ndiv
)12
.696
324
.333
-19.
044
0.06
20.
12
Plan
t-fe
edin
g ne
mat
ode
abun
danc
eAS
3SS
asym
pOrig
(sow
ndiv
, Asy
m, l
rc)
12.6
473
24.3
33-1
8.94
60.
160
0.12
Plan
t-fe
edin
g ne
mat
ode
abun
danc
ePa
2a
+ b
* so
wnd
iv12
.552
324
.333
-18.
756
0.34
90.
11
Plan
t-fe
edin
g ne
mat
ode
abun
danc
eE2
a +
b *
exp(
sow
ndiv
)12
.404
324
.333
-18.
460
0.64
50.
09
Plan
t-fe
edin
g ne
mat
ode
abun
danc
eLG
2SS
logi
s(so
wnd
iv, A
sym
, xm
id, s
cal)
12.7
444
18.2
50-1
6.90
02.
205
0.04
Plan
t-fe
edin
g ne
mat
ode
abun
danc
eA
S2SS
asym
pOff
(sow
ndiv
, Asy
m, l
rc, c
0)12
.742
418
.250
-16.
895
2.21
10.
04
Supplementary Table 2 (continued)
SUPPLEMENTARY INFORMATIONRESEARCHdoi:10.1038/nature09492
WWW NATURE.COM/NATURE | 50
Long
var
iabl
e na
me
mod
el n
ame
mod
el fo
rmul
aLL
KN
2KA
ICc
delt
AIC
cw
_ic
Plan
t-fe
edin
g ne
mat
ode
abun
danc
eAS
1SS
asym
p(so
wnd
iv, A
sym
, R0,
lrc)
12.7
424
18.2
50-1
6.89
52.
211
0.04
Plan
t-fe
edin
g ne
mat
ode
abun
danc
eM
2d
+ a
* so
wnd
iv/(
b +
sow
ndiv
)12
.729
418
.250
-16.
869
2.23
60.
04
Plan
t-fe
edin
g ne
mat
ode
abun
danc
eL2
sow
ndiv
+ fu
ncgr
+ le
g12
.645
514
.600
-14.
394
4.71
20.
01
Plan
t-fe
edin
g ne
mat
ode
abun
danc
eL0
bloc
k +
(sow
ndiv
+ fu
ncgr
+ g
rass
+ le
g)^2
19.4
6115
4.86
7-0
.501
18.6
040.
00
Plan
t-fe
edin
g ne
mat
ode
abun
danc
eE5
b *
exp(
sow
ndiv
)-2
7.30
22
36.5
0058
.774
77.8
800.
00
Plan
t-fe
edin
g ne
mat
ode
abun
danc
ePa
5so
wnd
iv^c
-41.
221
236
.500
86.6
1310
5.71
90.
00
Plan
t-fe
edin
g ne
mat
ode
abun
danc
eE4
a +
exp(
sow
ndiv
)-4
367.
080
236
.500
8738
.332
8757
.437
0.00
Om
nivo
rous
nem
atod
e ab
unda
nce
E2a
+ b
* ex
p(so
wnd
iv)
16.8
943
24.3
33-2
7.44
00.
000
0.20
Om
nivo
rous
nem
atod
e ab
unda
nce
Pa2
a +
b *
sow
ndiv
16.8
733
24.3
33-2
7.39
70.
043
0.20
Om
nivo
rous
nem
atod
e ab
unda
nce
Pa4
b *
sow
ndiv
^c16
.848
324
.333
-27.
349
0.09
10.
19
Om
nivo
rous
nem
atod
e ab
unda
nce
Pa3
a +
sow
ndiv
^c16
.848
324
.333
-27.
348
0.09
20.
19
Om
nivo
rous
nem
atod
e ab
unda
nce
M1a
SSm
icm
en(s
ownd
iv, V
m, k
)16
.831
324
.333
-27.
315
0.12
50.
19
Om
nivo
rous
nem
atod
e ab
unda
nce
L2so
wnd
iv +
func
gr +
leg
17.0
795
14.6
00-2
3.26
34.
178
0.02
Om
nivo
rous
nem
atod
e ab
unda
nce
L0bl
ock
+ (s
ownd
iv +
func
gr +
gra
ss +
leg)
^229
.080
154.
867
-19.
739
7.70
10.
00
Om
nivo
rous
nem
atod
e ab
unda
nce
E5b
* ex
p(so
wnd
iv)
-12.
819
236
.500
29.8
0957
.249
0.00
Om
nivo
rous
nem
atod
e ab
unda
nce
Pa5
sow
ndiv
^c-4
1.11
22
36.5
0086
.396
113.
836
0.00
Om
nivo
rous
nem
atod
e ab
unda
nce
E4a
+ ex
p(so
wnd
iv)
-436
7.08
02
36.5
0087
38.3
3287
65.7
720.
00
Pred
ator
y ne
mat
ode
abun
danc
eE2
a +
b *
exp(
sow
ndiv
)45
.837
324
.333
-85.
326
0.00
00.
90
Pred
ator
y ne
mat
ode
abun
danc
ePa
2a
+ b
* so
wnd
iv43
.329
324
.333
-80.
310
5.01
60.
07
Pred
ator
y ne
mat
ode
abun
danc
ePa
4b
* so
wnd
iv^c
41.9
163
24.3
33-7
7.48
47.
842
0.02
Pred
ator
y ne
mat
ode
abun
danc
eL2
sow
ndiv
+ fu
ncgr
+ le
g43
.603
514
.600
-76.
311
9.01
50.
01
Pred
ator
y ne
mat
ode
abun
danc
eE5
b *
exp(
sow
ndiv
)38
.795
236
.500
-73.
419
11.9
070.
00
Pred
ator
y ne
mat
ode
abun
danc
ePa
3a
+ so
wnd
iv^c
38.3
423
24.3
33-7
0.33
614
.990
0.00
Pred
ator
y ne
mat
ode
abun
danc
eL0
bloc
k +
(sow
ndiv
+ fu
ncgr
+ g
rass
+ le
g)^2
51.1
6815
4.86
7-6
3.91
421
.412
0.00
Pred
ator
y ne
mat
ode
abun
danc
ePa
5so
wnd
iv^c
-46.
129
236
.500
96.4
3018
1.75
60.
00
Pred
ator
y ne
mat
ode
abun
danc
eE4
a +
exp(
sow
ndiv
)-4
367.
080
236
.500
8738
.332
8823
.658
0.00
Bact
eria
-fee
ding
nem
atod
e ab
unda
nce
L2so
wnd
iv +
func
gr +
leg
23.3
675
14.6
00-3
5.83
80.
000
0.22
Bact
eria
-fee
ding
nem
atod
e ab
unda
nce
Pa2
a +
b *
sow
ndiv
20.9
183
24.3
33-3
5.48
90.
349
0.18
Bact
eria
-fee
ding
nem
atod
e ab
unda
nce
E2a
+ b
* ex
p(so
wnd
iv)
20.7
463
24.3
33-3
5.14
40.
694
0.15
Bact
eria
-fee
ding
nem
atod
e ab
unda
nce
Pa4
b *
sow
ndiv
^c20
.445
324
.333
-34.
543
1.29
50.
11
Bact
eria
-fee
ding
nem
atod
e ab
unda
nce
Pa3
a +
sow
ndiv
^c20
.406
324
.333
-34.
464
1.37
40.
11
Bact
eria
-fee
ding
nem
atod
e ab
unda
nce
M1
a *
sow
ndiv
/(b
+ so
wnd
iv)
20.1
233
24.3
33-3
3.89
81.
940
0.08
Bact
eria
-fee
ding
nem
atod
e ab
unda
nce
M1a
SSm
icm
en(s
ownd
iv, V
m, k
)20
.123
324
.333
-33.
898
1.94
00.
08
Supplementary Table 2 (continued)
SUPPLEMENTARY INFORMATIONRESEARCHdoi:10.1038/nature09492
WWW NATURE.COM/NATURE | 51
Long
var
iabl
e na
me
mod
el n
ame
mod
el fo
rmul
aLL
KN
2KA
ICc
delt
AIC
cw
_ic
Bact
eria
-fee
ding
nem
atod
e ab
unda
nce
LG2
SSlo
gis(
sow
ndiv
, Asy
m, x
mid
, sca
l)20
.921
418
.250
-33.
253
2.58
50.
06
Bact
eria
-fee
ding
nem
atod
e ab
unda
nce
L0bl
ock
+ (s
ownd
iv +
func
gr +
gra
ss +
leg)
^233
.511
154.
867
-28.
601
7.23
70.
01
Bact
eria
-fee
ding
nem
atod
e ab
unda
nce
E5b
* ex
p(so
wnd
iv)
-8.6
542
36.5
0021
.479
57.3
170.
00
Bact
eria
-fee
ding
nem
atod
e ab
unda
nce
Pa5
sow
ndiv
^c-4
1.09
12
36.5
0086
.354
122.
192
0.00
Bact
eria
-fee
ding
nem
atod
e ab
unda
nce
E4a
+ ex
p(so
wnd
iv)
-436
7.08
02
36.5
0087
38.3
3287
74.1
690.
00
Hyp
heno
phag
ous
nem
atod
e ab
unda
nce
Pa2
a +
b *
sow
ndiv
16.2
993
24.3
33-2
6.25
10.
000
0.17
Hyp
heno
phag
ous
nem
atod
e ab
unda
nce
E2a
+ b
* ex
p(so
wnd
iv)
16.2
713
24.3
33-2
6.19
30.
058
0.17
Hyp
heno
phag
ous
nem
atod
e ab
unda
nce
Pa3
a +
sow
ndiv
^c16
.075
324
.333
-25.
803
0.44
80.
14
Hyp
heno
phag
ous
nem
atod
e ab
unda
nce
Pa4
b *
sow
ndiv
^c16
.067
324
.333
-25.
785
0.46
60.
14
Hyp
heno
phag
ous
nem
atod
e ab
unda
nce
M1a
SSm
icm
en(s
ownd
iv, V
m, k
)15
.952
324
.333
-25.
556
0.69
50.
12
Hyp
heno
phag
ous
nem
atod
e ab
unda
nce
M1
a *
sow
ndiv
/(b
+ so
wnd
iv)
15.9
523
24.3
33-2
5.55
60.
695
0.12
Hyp
heno
phag
ous
nem
atod
e ab
unda
nce
LG2
SSlo
gis(
sow
ndiv
, Asy
m, x
mid
, sca
l)16
.308
418
.250
-24.
029
2.22
20.
06
Hyp
heno
phag
ous
nem
atod
e ab
unda
nce
M2
d +
a *
sow
ndiv
/(b
+ so
wnd
iv)
16.1
974
18.2
50-2
3.80
72.
444
0.05
Hyp
heno
phag
ous
nem
atod
e ab
unda
nce
L2so
wnd
iv +
func
gr +
leg
16.6
575
14.6
00-2
2.41
83.
833
0.03
Hyp
heno
phag
ous
nem
atod
e ab
unda
nce
BIEX
PSS
biex
p(so
wnd
iv, A
1, lr
c1, A
2, lr
c2)
16.3
455
14.6
00-2
1.79
54.
456
0.02
Hyp
heno
phag
ous
nem
atod
e ab
unda
nce
L0bl
ock
+ (s
ownd
iv +
func
gr +
gra
ss +
leg)
^218
.821
154.
867
0.77
927
.030
0.00
Hyp
heno
phag
ous
nem
atod
e ab
unda
nce
E5b
* ex
p(so
wnd
iv)
-13.
864
236
.500
31.9
0058
.151
0.00
Hyp
heno
phag
ous
nem
atod
e ab
unda
nce
Pa5
sow
ndiv
^c-4
0.83
72
36.5
0085
.845
112.
096
0.00
Hyp
heno
phag
ous
nem
atod
e ab
unda
nce
E4a
+ ex
p(so
wnd
iv)
-436
7.08
02
36.5
0087
38.3
3287
64.5
830.
00
Colle
mbo
la a
bund
ance
M1
a *
sow
ndiv
/(b
+ so
wnd
iv)
23.8
583
26.6
67-4
1.40
00.
000
0.15
Colle
mbo
la a
bund
ance
M1a
SSm
icm
en(s
ownd
iv, V
m, k
)23
.858
326
.667
-41.
400
0.00
00.
15
Colle
mbo
la a
bund
ance
Pa3
a +
sow
ndiv
^c23
.795
326
.667
-41.
274
0.12
60.
14
Colle
mbo
la a
bund
ance
Pa4
b *
sow
ndiv
^c23
.747
326
.667
-41.
179
0.22
10.
13
Colle
mbo
la a
bund
ance
AS3
SSas
ympO
rig(s
ownd
iv, A
sym
, lrc
)23
.630
326
.667
-40.
944
0.45
50.
12
Colle
mbo
la a
bund
ance
Pa2
a +
b *
sow
ndiv
22.9
523
26.6
67-3
9.58
81.
812
0.06
Colle
mbo
la a
bund
ance
M2
d +
a *
sow
ndiv
/(b
+ so
wnd
iv)
23.8
704
20.0
00-3
9.20
62.
194
0.05
Colle
mbo
la a
bund
ance
AS1
SSas
ymp(
sow
ndiv
, Asy
m, R
0, lr
c)23
.793
420
.000
-39.
052
2.34
80.
05
Colle
mbo
la a
bund
ance
AS2
SSas
ympO
ff(s
ownd
iv, A
sym
, lrc
, c0)
23.7
934
20.0
00-3
9.05
22.
348
0.05
Colle
mbo
la a
bund
ance
LG2
SSlo
gis(
sow
ndiv
, Asy
m, x
mid
, sca
l)23
.765
420
.000
-38.
997
2.40
30.
04
Colle
mbo
la a
bund
ance
E2a
+ b
* ex
p(so
wnd
iv)
22.4
273
26.6
67-3
8.53
92.
860
0.04
Colle
mbo
la a
bund
ance
L0bl
ock
+ (s
ownd
iv +
func
gr +
gra
ss +
leg)
^237
.655
155.
333
-37.
810
3.59
00.
02
Colle
mbo
la a
bund
ance
L2so
wnd
iv +
func
gr +
leg
23.5
955
16.0
00-3
6.37
95.
021
0.01
Colle
mbo
la a
bund
ance
E5b
* ex
p(so
wnd
iv)
-21.
858
240
.000
47.8
7289
.272
0.00
Supplementary Table 2 (continued)
SUPPLEMENTARY INFORMATIONRESEARCHdoi:10.1038/nature09492
WWW NATURE.COM/NATURE | 52
Long
var
iabl
e na
me
mod
el n
ame
mod
el fo
rmul
aLL
KN
2KA
ICc
delt
AIC
cw
_ic
Colle
mbo
la a
bund
ance
Pa5
sow
ndiv
^c-4
7.01
22
40.0
0098
.181
139.
580
0.00
Colle
mbo
la a
bund
ance
E4a
+ ex
p(so
wnd
iv)
-479
3.68
62
40.0
0095
91.5
2796
32.9
270.
00
Mite
abu
ndan
cePa
2a
+ b
* so
wnd
iv19
.716
326
.667
-33.
116
0.00
00.
16
Mite
abu
ndan
ceE2
a +
b *
exp(
sow
ndiv
)19
.712
326
.667
-33.
108
0.00
80.
16
Mite
abu
ndan
cePa
3a
+ so
wnd
iv^c
19.6
373
26.6
67-3
2.95
80.
157
0.15
Mite
abu
ndan
cePa
4b
* so
wnd
iv^c
19.6
373
26.6
67-3
2.95
70.
158
0.15
Mite
abu
ndan
ceM
1a
* so
wnd
iv/(
b +
sow
ndiv
)19
.631
326
.667
-32.
946
0.16
90.
15
Mite
abu
ndan
ceM
1aSS
mic
men
(sow
ndiv
, Vm
, k)
19.6
313
26.6
67-3
2.94
60.
169
0.15
Mite
abu
ndan
ceLG
2SS
logi
s(so
wnd
iv, A
sym
, xm
id, s
cal)
19.7
224
20.0
00-3
0.91
12.
205
0.05
Mite
abu
ndan
ceL2
sow
ndiv
+ fu
ncgr
+ le
g20
.009
516
.000
-29.
207
3.90
80.
02
Mite
abu
ndan
ceBI
EXP
SSbi
exp(
sow
ndiv
, A1,
lrc1
, A2,
lrc2
)19
.786
516
.000
-28.
761
4.35
50.
02
Mite
abu
ndan
ceL0
bloc
k +
(sow
ndiv
+ fu
ncgr
+ g
rass
+ le
g)^2
28.9
1715
5.33
3-2
0.33
312
.783
0.00
Mite
abu
ndan
ceE5
b *
exp(
sow
ndiv
)-1
2.67
92
40.0
0029
.514
62.6
300.
00
Mite
abu
ndan
cePa
5so
wnd
iv^c
-45.
163
240
.000
94.4
8312
7.59
80.
00
Mite
abu
ndan
ceE4
a +
exp(
sow
ndiv
)-4
793.
686
240
.000
9591
.527
9624
.643
0.00
Gam
asid
a ab
unda
nce
Pa2
a +
b *
sow
ndiv
22.8
323
26.6
67-3
9.34
90.
000
0.26
Gam
asid
a ab
unda
nce
E2a
+ b
* ex
p(so
wnd
iv)
22.6
063
26.6
67-3
8.89
50.
454
0.21
Gam
asid
a ab
unda
nce
Pa4
b *
sow
ndiv
^c22
.019
326
.667
-37.
723
1.62
60.
12
Gam
asid
a ab
unda
nce
LG2
SSlo
gis(
sow
ndiv
, Asy
m, x
mid
, sca
l)22
.867
420
.000
-37.
201
2.14
90.
09
Gam
asid
a ab
unda
nce
Pa1
a +
b *
sow
ndiv
^c22
.864
420
.000
-37.
195
2.15
40.
09
Gam
asid
a ab
unda
nce
Pa3
a +
sow
ndiv
^c21
.600
326
.667
-36.
885
2.46
40.
08
Gam
asid
a ab
unda
nce
L2so
wnd
iv +
func
gr +
leg
23.8
445
16.0
00-3
6.87
72.
472
0.08
Gam
asid
a ab
unda
nce
M1
a *
sow
ndiv
/(b
+ so
wnd
iv)
20.7
143
26.6
67-3
5.11
24.
237
0.03
Gam
asid
a ab
unda
nce
M1a
SSm
icm
en(s
ownd
iv, V
m, k
)20
.714
326
.667
-35.
112
4.23
70.
03
Gam
asid
a ab
unda
nce
AS3
SSas
ympO
rig(s
ownd
iv, A
sym
, lrc
)20
.240
326
.667
-34.
164
5.18
50.
02
Gam
asid
a ab
unda
nce
L0bl
ock
+ (s
ownd
iv +
func
gr +
gra
ss +
leg)
^233
.400
155.
333
-29.
301
10.0
490.
00
Gam
asid
a ab
unda
nce
E5b
* ex
p(so
wnd
iv)
6.19
02
40.0
00-8
.224
31.1
250.
00
Gam
asid
a ab
unda
nce
Pa5
sow
ndiv
^c-5
0.30
22
40.0
0010
4.76
014
4.10
90.
00
Gam
asid
a ab
unda
nce
E4a
+ ex
p(so
wnd
iv)
-479
3.68
62
40.0
0095
91.5
2796
30.8
770.
00
Colle
mbo
la d
iver
sity
L0bl
ock
+ (s
ownd
iv +
func
gr +
gra
ss +
leg)
^236
.161
155.
333
-34.
822
0.00
00.
38
Colle
mbo
la d
iver
sity
Pa4
b *
sow
ndiv
^c19
.349
326
.667
-32.
382
2.44
00.
11
Colle
mbo
la d
iver
sity
Pa3
a +
sow
ndiv
^c19
.305
326
.667
-32.
295
2.52
70.
11
Colle
mbo
la d
iver
sity
Pa2
a +
b *
sow
ndiv
18.8
473
26.6
67-3
1.37
93.
443
0.07
Supplementary Table 2 (continued)
SUPPLEMENTARY INFORMATIONRESEARCHdoi:10.1038/nature09492
WWW NATURE.COM/NATURE | 53
Long
var
iabl
e na
me
mod
el n
ame
mod
el fo
rmul
aLL
KN
2KA
ICc
delt
AIC
cw
_ic
Colle
mbo
la d
iver
sity
AS1
SSas
ymp(
sow
ndiv
, Asy
m, R
0, lr
c)19
.475
420
.000
-30.
416
4.40
60.
04
Colle
mbo
la d
iver
sity
AS2
SSas
ympO
ff(s
ownd
iv, A
sym
, lrc
, c0)
19.4
754
20.0
00-3
0.41
64.
406
0.04
Colle
mbo
la d
iver
sity
LG2
SSlo
gis(
sow
ndiv
, Asy
m, x
mid
, sca
l)19
.473
420
.000
-30.
412
4.41
00.
04
Colle
mbo
la d
iver
sity
M2
d +
a *
sow
ndiv
/(b
+ so
wnd
iv)
19.4
724
20.0
00-3
0.41
14.
411
0.04
Colle
mbo
la d
iver
sity
Pa1
a +
b *
sow
ndiv
^c19
.453
420
.000
-30.
373
4.44
90.
04
Colle
mbo
la d
iver
sity
M1
a *
sow
ndiv
/(b
+ so
wnd
iv)
18.2
073
26.6
67-3
0.09
94.
723
0.04
Colle
mbo
la d
iver
sity
M1a
SSm
icm
en(s
ownd
iv, V
m, k
)18
.207
326
.667
-30.
099
4.72
30.
04
Colle
mbo
la d
iver
sity
E2a
+ b
* ex
p(so
wnd
iv)
17.5
443
26.6
67-2
8.77
26.
050
0.02
Colle
mbo
la d
iver
sity
AS3
SSas
ympO
rig(s
ownd
iv, A
sym
, lrc
)17
.249
326
.667
-28.
183
6.63
90.
01
Colle
mbo
la d
iver
sity
L2so
wnd
iv +
func
gr +
leg
18.9
945
16.0
00-2
7.17
87.
644
0.01
Colle
mbo
la d
iver
sity
Pa5
sow
ndiv
^c-3
2.54
22
40.0
0069
.240
104.
063
0.00
Colle
mbo
la d
iver
sity
E5b
* ex
p(so
wnd
iv)
-62.
899
240
.000
129.
954
164.
777
0.00
Colle
mbo
la d
iver
sity
E4a
+ ex
p(so
wnd
iv)
-479
3.68
62
40.0
0095
91.5
2796
26.3
500.
00
Abov
egro
und
herb
ivor
e ab
unda
nce
Pa4
b *
sow
ndiv
^c21
.063
316
.667
-35.
603
0.00
00.
25
Abov
egro
und
herb
ivor
e ab
unda
nce
Pa2
a +
b *
sow
ndiv
20.6
003
16.6
67-3
4.67
80.
926
0.16
Abov
egro
und
herb
ivor
e ab
unda
nce
Pa1
a +
b *
sow
ndiv
^c21
.542
412
.500
-34.
196
1.40
80.
13
Abov
egro
und
herb
ivor
e ab
unda
nce
M2
d +
a *
sow
ndiv
/(b
+ so
wnd
iv)
21.2
474
12.5
00-3
3.60
51.
999
0.09
Abov
egro
und
herb
ivor
e ab
unda
nce
AS1
SSas
ymp(
sow
ndiv
, Asy
m, R
0, lr
c)21
.222
412
.500
-33.
555
2.04
90.
09
Abov
egro
und
herb
ivor
e ab
unda
nce
AS2
SSas
ympO
ff(s
ownd
iv, A
sym
, lrc
, c0)
21.2
224
12.5
00-3
3.55
52.
049
0.09
Abov
egro
und
herb
ivor
e ab
unda
nce
LG2
SSlo
gis(
sow
ndiv
, Asy
m, x
mid
, sca
l)20
.999
412
.500
-33.
109
2.49
40.
07
Abov
egro
und
herb
ivor
e ab
unda
nce
Pa3
a +
sow
ndiv
^c19
.713
316
.667
-32.
904
2.69
90.
07
Abov
egro
und
herb
ivor
e ab
unda
nce
L2so
wnd
iv +
func
gr +
leg
21.6
875
10.0
00-3
2.01
13.
593
0.04
Abov
egro
und
herb
ivor
e ab
unda
nce
M1
a *
sow
ndiv
/(b
+ so
wnd
iv)
16.5
803
16.6
67-2
6.63
88.
965
0.00
Abov
egro
und
herb
ivor
e ab
unda
nce
M1a
SSm
icm
en(s
ownd
iv, V
m, k
)16
.580
316
.667
-26.
638
8.96
50.
00
Abov
egro
und
herb
ivor
e ab
unda
nce
E2a
+ b
* ex
p(so
wnd
iv)
15.7
663
16.6
67-2
5.01
110
.593
0.00
Abov
egro
und
herb
ivor
e ab
unda
nce
L0bl
ock
+ (s
ownd
iv +
func
gr +
gra
ss +
leg)
^234
.420
153.
333
-24.
722
10.8
810.
00
Abov
egro
und
herb
ivor
e ab
unda
nce
AS3
SSas
ympO
rig(s
ownd
iv, A
sym
, lrc
)14
.098
316
.667
-21.
675
13.9
290.
00
Abov
egro
und
herb
ivor
e ab
unda
nce
E5b
* ex
p(so
wnd
iv)
-14.
632
225
.000
33.5
1969
.122
0.00
Abo
vegr
ound
her
bivo
re a
bund
ance
Pa5
sow
ndiv
^c-3
9.99
12
25.0
0084
.238
119.
841
0.00
Abo
vegr
ound
her
bivo
re a
bund
ance
E4a
+ ex
p(so
wnd
iv)
-300
7.80
42
25.0
0060
19.8
6360
55.4
660.
00
Abov
egro
und
carn
ivor
e ab
unda
nce
M1
a *
sow
ndiv
/(b
+ so
wnd
iv)
12.0
693
16.6
67-1
7.61
70.
000
0.20
Abov
egro
und
carn
ivor
e ab
unda
nce
M1a
SSm
icm
en(s
ownd
iv, V
m, k
)12
.069
316
.667
-17.
617
0.00
00.
20
Abov
egro
und
carn
ivor
e ab
unda
nce
AS3
SSas
ympO
rig(s
ownd
iv, A
sym
, lrc
)11
.573
316
.667
-16.
624
0.99
30.
12
Supplementary Table 2 (continued)
SUPPLEMENTARY INFORMATIONRESEARCHdoi:10.1038/nature09492
WWW NATURE.COM/NATURE | 54
Long
var
iabl
e na
me
mod
el n
ame
mod
el fo
rmul
aLL
KN
2KA
ICc
delt
AIC
cw
_ic
Abov
egro
und
carn
ivor
e ab
unda
nce
Pa3
a +
sow
ndiv
^c11
.353
316
.667
-16.
183
1.43
40.
10
Abov
egro
und
carn
ivor
e ab
unda
nce
Pa4
b *
sow
ndiv
^c10
.999
316
.667
-15.
477
2.14
00.
07
Abov
egro
und
carn
ivor
e ab
unda
nce
AS1
SSas
ymp(
sow
ndiv
, Asy
m, R
0, lr
c)12
.078
412
.500
-15.
267
2.35
00.
06
Abov
egro
und
carn
ivor
e ab
unda
nce
AS2
SSas
ympO
ff(s
ownd
iv, A
sym
, lrc
, c0)
12.0
784
12.5
00-1
5.26
72.
350
0.06
Abov
egro
und
carn
ivor
e ab
unda
nce
M2
d +
a *
sow
ndiv
/(b
+ so
wnd
iv)
12.0
764
12.5
00-1
5.26
32.
354
0.06
Abov
egro
und
carn
ivor
e ab
unda
nce
LG2
SSlo
gis(
sow
ndiv
, Asy
m, x
mid
, sca
l)12
.075
412
.500
-15.
262
2.35
50.
06
Abov
egro
und
carn
ivor
e ab
unda
nce
L2so
wnd
iv +
func
gr +
leg
12.9
845
10.0
00-1
4.60
53.
012
0.05
Abov
egro
und
carn
ivor
e ab
unda
nce
Pa2
a +
b *
sow
ndiv
8.12
23
16.6
67-9
.721
7.89
50.
00
Abov
egro
und
carn
ivor
e ab
unda
nce
E2a
+ b
* ex
p(so
wnd
iv)
6.36
73
16.6
67-6
.213
11.4
040.
00
Abov
egro
und
carn
ivor
e ab
unda
nce
L0bl
ock
+ (s
ownd
iv +
func
gr +
gra
ss +
leg)
^225
.106
153.
333
-6.0
9411
.522
0.00
Abov
egro
und
carn
ivor
e ab
unda
nce
E5b
* ex
p(so
wnd
iv)
-26.
232
225
.000
56.7
1974
.336
0.00
Abov
egro
und
carn
ivor
e ab
unda
nce
Pa5
sow
ndiv
^c-3
6.01
22
25.0
0076
.280
93.8
970.
00
Abov
egro
und
carn
ivor
e ab
unda
nce
E4a
+ ex
p(so
wnd
iv)
-300
7.80
42
25.0
0060
19.8
6360
37.4
800.
00
Abo
vegr
ound
om
nivo
re a
bund
ance
L2so
wnd
iv +
func
gr +
leg
17.4
875
10.0
00-2
3.61
10.
000
1.00
Abov
egro
und
omni
vore
abu
ndan
ceL0
bloc
k +
(sow
ndiv
+ fu
ncgr
+ g
rass
+ le
g)^2
26.9
2215
3.33
3-9
.726
13.8
850.
00
Abov
egro
und
omni
vore
abu
ndan
cePa
4b
* so
wnd
iv^c
5.55
13
16.6
67-4
.580
19.0
310.
00
Abov
egro
und
omni
vore
abu
ndan
cePa
3a
+ so
wnd
iv^c
5.51
73
16.6
67-4
.513
19.0
980.
00
Abov
egro
und
omni
vore
abu
ndan
cePa
2a
+ b
* so
wnd
iv5.
313
316
.667
-4.1
0319
.507
0.00
Abov
egro
und
omni
vore
abu
ndan
ceM
1aSS
mic
men
(sow
ndiv
, Vm
, k)
5.00
73
16.6
67-3
.492
20.1
190.
00
Abov
egro
und
omni
vore
abu
ndan
ceM
1a
* so
wnd
iv/(
b +
sow
ndiv
)5.
007
316
.667
-3.4
9220
.119
0.00
Abov
egro
und
omni
vore
abu
ndan
ceE2
a +
b *
exp(
sow
ndiv
)4.
721
316
.667
-2.9
2020
.691
0.00
Abov
egro
und
omni
vore
abu
ndan
ceA
S3SS
asym
pOrig
(sow
ndiv
, Asy
m, l
rc)
4.62
33
16.6
67-2
.723
20.8
870.
00
Abov
egro
und
omni
vore
abu
ndan
ceLG
2SS
logi
s(so
wnd
iv, A
sym
, xm
id, s
cal)
5.72
84
12.5
00-2
.567
21.0
430.
00
Abov
egro
und
omni
vore
abu
ndan
ceA
S2SS
asym
pOff
(sow
ndiv
, Asy
m, l
rc, c
0)5.
706
412
.500
-2.5
2321
.087
0.00
Abov
egro
und
omni
vore
abu
ndan
ceAS
1SS
asym
p(so
wnd
iv, A
sym
, R0,
lrc)
5.70
64
12.5
00-2
.523
21.0
870.
00
Abov
egro
und
omni
vore
abu
ndan
ceM
2d
+ a
* so
wnd
iv/(
b +
sow
ndiv
)5.
675
412
.500
-2.4
6221
.149
0.00
Abov
egro
und
omni
vore
abu
ndan
cePa
1a
+ b
* so
wnd
iv^c
5.58
94
12.5
00-2
.289
21.3
210.
00
Abov
egro
und
omni
vore
abu
ndan
ceE5
b *
exp(
sow
ndiv
)-2
1.51
42
25.0
0047
.283
70.8
930.
00
Abov
egro
und
omni
vore
abu
ndan
cePa
5so
wnd
iv^c
-35.
116
225
.000
74.4
8798
.097
0.00
Abov
egro
und
omni
vore
abu
ndan
ceE4
a +
exp(
sow
ndiv
)-3
007.
804
225
.000
6019
.863
6043
.473
0.00
Abo
vegr
ound
par
asito
id a
bund
ance
L2so
wnd
iv +
func
gr +
leg
9.94
55
10.0
00-8
.527
0.00
00.
77
Abov
egro
und
para
sito
id a
bund
ance
L0bl
ock
+ (s
ownd
iv +
func
gr +
gra
ss +
leg)
^225
.076
153.
333
-6.0
352.
492
0.22
Abov
egro
und
para
sito
id a
bund
ance
Pa2
a +
b *
sow
ndiv
1.34
53
16.6
673.
831
12.3
580.
00
Supplementary Table 2 (continued)
SUPPLEMENTARY INFORMATIONRESEARCHdoi:10.1038/nature09492
WWW NATURE.COM/NATURE | 55
Long
var
iabl
e na
me
mod
el n
ame
mod
el fo
rmul
aLL
KN
2KA
ICc
delt
AIC
cw
_ic
Abov
egro
und
para
sito
id a
bund
ance
Pa4
b *
sow
ndiv
^c0.
444
316
.667
5.63
414
.161
0.00
Abov
egro
und
para
sito
id a
bund
ance
Pa1
a +
b *
sow
ndiv
^c1.
373
412
.500
6.14
314
.670
0.00
Abo
vegr
ound
par
asito
id a
bund
ance
M2
d +
a *
sow
ndiv
/(b
+ so
wnd
iv)
1.36
64
12.5
006.
157
14.6
830.
00
Abov
egro
und
para
sito
id a
bund
ance
AS1
SSas
ymp(
sow
ndiv
, Asy
m, R
0, lr
c)1.
366
412
.500
6.15
714
.684
0.00
Abo
vegr
ound
par
asito
id a
bund
ance
AS2
SSas
ympO
ff(s
ownd
iv, A
sym
, lrc
, c0)
1.36
64
12.5
006.
157
14.6
840.
00
Abov
egro
und
para
sito
id a
bund
ance
LG2
SSlo
gis(
sow
ndiv
, Asy
m, x
mid
, sca
l)1.
353
412
.500
6.18
314
.709
0.00
Abo
vegr
ound
par
asito
id a
bund
ance
E2a
+ b
* ex
p(so
wnd
iv)
-0.2
563
16.6
677.
033
15.5
590.
00
Abov
egro
und
para
sito
id a
bund
ance
Pa3
a +
sow
ndiv
^c-0
.521
316
.667
7.56
516
.091
0.00
Abo
vegr
ound
par
asito
id a
bund
ance
M1a
SSm
icm
en(s
ownd
iv, V
m, k
)-2
.370
316
.667
11.2
6219
.788
0.00
Abo
vegr
ound
par
asito
id a
bund
ance
M1
a *
sow
ndiv
/(b
+ so
wnd
iv)
-2.3
703
16.6
6711
.262
19.7
880.
00
Abov
egro
und
para
sito
id a
bund
ance
E5b
* ex
p(so
wnd
iv)
-19.
263
225
.000
42.7
8151
.307
0.00
Abov
egro
und
para
sito
id a
bund
ance
Pa5
sow
ndiv
^c-4
1.66
02
25.0
0087
.576
96.1
020.
00
Abov
egro
und
para
sito
id a
bund
ance
E4a
+ ex
p(so
wnd
iv)
-300
7.80
42
25.0
0060
19.8
6360
28.3
890.
00
Abo
vegr
ound
hyp
erpa
rasi
toid
abu
ndan
cePa
3a
+ so
wnd
iv^c
-9.1
083
9.33
325
.216
0.00
00.
13
Abo
vegr
ound
hyp
erpa
rasi
toid
abu
ndan
cePa
4b
* so
wnd
iv^c
-9.1
103
9.33
325
.221
0.00
50.
13
Abov
egro
und
hype
rpar
asito
id a
bund
ance
E2a
+ b
* ex
p(so
wnd
iv)
-9.1
573
9.33
325
.313
0.09
70.
12
Abo
vegr
ound
hyp
erpa
rasi
toid
abu
ndan
cePa
2a
+ b
* so
wnd
iv-9
.166
39.
333
25.3
320.
116
0.12
Abov
egro
und
hype
rpar
asito
id a
bund
ance
AS3
SSas
ympO
rig(s
ownd
iv, A
sym
, lrc
)-9
.170
39.
333
25.3
390.
123
0.12
Abo
vegr
ound
hyp
erpa
rasi
toid
abu
ndan
ceM
1aSS
mic
men
(sow
ndiv
, Vm
, k)
-9.1
773
9.33
325
.354
0.13
80.
12
Abo
vegr
ound
hyp
erpa
rasi
toid
abu
ndan
ceM
1a
* so
wnd
iv/(
b +
sow
ndiv
)-9
.177
39.
333
25.3
540.
138
0.12
Abov
egro
und
hype
rpar
asito
id a
bund
ance
M2
d +
a *
sow
ndiv
/(b
+ so
wnd
iv)
-8.0
444
7.00
025
.827
0.61
10.
09
Abo
vegr
ound
hyp
erpa
rasi
toid
abu
ndan
cePa
1a
+ b
* so
wnd
iv^c
-9.1
034
7.00
027
.946
2.73
00.
03
Abo
vegr
ound
hyp
erpa
rasi
toid
abu
ndan
ceL2
sow
ndiv
+ fu
ncgr
+ le
g-8
.811
55.
600
30.3
495.
132
0.01
Abov
egro
und
hype
rpar
asito
id a
bund
ance
E5b
* ex
p(so
wnd
iv)
-16.
232
214
.000
36.9
4411
.728
0.00
Abov
egro
und
hype
rpar
asito
id a
bund
ance
Pa5
sow
ndiv
^c-2
2.60
32
14.0
0049
.686
24.4
690.
00
Abov
egro
und
hype
rpar
asito
id a
bund
ance
L0bl
ock
+ (s
ownd
iv +
func
gr +
gra
ss +
leg)
^2-2
.232
142.
000
64.7
7239
.556
0.00
Abov
egro
und
hype
rpar
asito
id a
bund
ance
E4a
+ ex
p(so
wnd
iv)
-168
8.46
02
14.0
0033
81.4
0033
56.1
840.
00
Polli
nato
r ab
unda
nce
L2so
wnd
iv +
func
gr +
leg
14.8
005
10.0
00-1
8.23
60.
000
0.71
Polli
nato
r ab
unda
nce
E2a
+ b
* ex
p(so
wnd
iv)
9.72
33
16.6
67-1
2.92
45.
311
0.05
Polli
nato
r ab
unda
nce
Pa2
a +
b *
sow
ndiv
9.71
83
16.6
67-1
2.91
35.
322
0.05
Polli
nato
r ab
unda
nce
Pa4
b *
sow
ndiv
^c9.
554
316
.667
-12.
586
5.65
00.
04
Polli
nato
r ab
unda
nce
Pa3
a +
sow
ndiv
^c9.
544
316
.667
-12.
567
5.66
80.
04
Polli
nato
r ab
unda
nce
M1
a *
sow
ndiv
/(b
+ so
wnd
iv)
9.41
63
16.6
67-1
2.31
05.
925
0.04
Supplementary Table 2 (continued)
SUPPLEMENTARY INFORMATIONRESEARCHdoi:10.1038/nature09492
WWW NATURE.COM/NATURE | 56
Long
var
iabl
e na
me
mod
el n
ame
mod
el fo
rmul
aLL
KN
2KA
ICc
delt
AIC
cw
_ic
Polli
nato
r ab
unda
nce
M1a
SSm
icm
en(s
ownd
iv, V
m, k
)9.
416
316
.667
-12.
310
5.92
50.
04
Polli
nato
r ab
unda
nce
AS3
SSas
ympO
rig(s
ownd
iv, A
sym
, lrc
)9.
377
316
.667
-12.
232
6.00
40.
04
Polli
nato
r ab
unda
nce
L0bl
ock
+ (s
ownd
iv +
func
gr +
gra
ss +
leg)
^221
.013
153.
333
2.09
220
.327
0.00
Polli
nato
r ab
unda
nce
E5b
* ex
p(so
wnd
iv)
-14.
188
225
.000
32.6
3250
.868
0.00
Polli
nato
r ab
unda
nce
Pa5
sow
ndiv
^c-3
4.57
62
25.0
0073
.408
91.6
440.
00
Polli
nato
r ab
unda
nce
E4a
+ ex
p(so
wnd
iv)
-300
7.80
42
25.0
0060
19.8
6360
38.0
980.
00
Plan
t inv
ader
abu
ndan
cePn
1831
a +
sow
ndiv
^c48
.697
613
.667
-84.
274
0.00
00.
28
Plan
t inv
ader
abu
ndan
cePp
2231
a +
b *
sow
ndiv
50.8
098
10.2
50-8
3.64
50.
629
0.21
Plan
t inv
ader
abu
ndan
ceEf
3921
a +
exp(
c *
sow
ndiv
)49
.460
810
.250
-80.
947
3.32
70.
05
Plan
t inv
ader
abu
ndan
ceEb
1521
a +
exp(
c *
sow
ndiv
)47
.019
613
.667
-80.
918
3.35
70.
05
Plan
t inv
ader
abu
ndan
cePm
1231
a +
b *
sow
ndiv
46.9
626
13.6
67-8
0.80
33.
471
0.05
Plan
t inv
ader
abu
ndan
cePr
3231
a +
b *
sow
ndiv
49.3
018
10.2
50-8
0.62
93.
645
0.05
Plan
t inv
ader
abu
ndan
cePp
2331
a +
sow
ndiv
^c48
.984
810
.250
-79.
996
4.27
80.
03
Plan
t inv
ader
abu
ndan
cePr
3331
a +
sow
ndiv
^c48
.974
810
.250
-79.
976
4.29
80.
03
Plan
t inv
ader
abu
ndan
cePc
131
a +
b *
sow
ndiv
^c45
.114
516
.400
-79.
439
4.83
60.
03
Plan
t inv
ader
abu
ndan
ceL2
22so
wnd
iv +
func
gr +
leg
46.2
516
13.6
67-7
9.38
14.
893
0.02
Plan
t inv
ader
abu
ndan
cePc
331
a +
sow
ndiv
^c43
.827
420
.500
-79.
135
5.13
90.
02
Plan
t inv
ader
abu
ndan
ceM
222
d +
a *
sow
ndiv
/(b
+ so
wnd
iv)
44.8
885
16.4
00-7
8.98
75.
288
0.02
Plan
t inv
ader
abu
ndan
cePs
3731
a +
b *
sow
ndiv
50.9
4710
8.20
0-7
8.79
55.
480
0.02
Plan
t inv
ader
abu
ndan
cePe
731
a +
b *
sow
ndiv
45.8
576
13.6
67-7
8.59
55.
679
0.02
Plan
t inv
ader
abu
ndan
ceEc
2121
a +
exp(
c *
sow
ndiv
)45
.817
613
.667
-78.
513
5.76
10.
02
Plan
t inv
ader
abu
ndan
ceEa
921
a +
exp(
c *
sow
ndiv
)45
.525
613
.667
-77.
931
6.34
40.
01
Plan
t inv
ader
abu
ndan
ceE3
2a
+ ex
p(c
* so
wnd
iv)
43.2
084
20.5
00-7
7.89
76.
377
0.01
Plan
t inv
ader
abu
ndan
ceM
1332
d +
a *
sow
ndiv
/(b
+ so
wnd
iv)
51.8
0311
7.45
5-7
7.83
56.
439
0.01
Plan
t inv
ader
abu
ndan
cePc
231
a +
b *
sow
ndiv
42.9
754
20.5
00-7
7.43
06.
845
0.01
Plan
t inv
ader
abu
ndan
cePn
1731
a +
b *
sow
ndiv
45.2
326
13.6
67-7
7.34
46.
931
0.01
Plan
t inv
ader
abu
ndan
cePq
2731
a +
b *
sow
ndiv
47.4
618
10.2
50-7
6.94
97.
326
0.01
Plan
t inv
ader
abu
ndan
ceL2
1so
wnd
iv +
func
gr +
leg
44.7
896
13.6
67-7
6.45
97.
816
0.01
Plan
t inv
ader
abu
ndan
cePe
831
a +
sow
ndiv
^c44
.568
613
.667
-76.
016
8.25
80.
00
Plan
t inv
ader
abu
ndan
cePs
3831
a +
sow
ndiv
^c49
.274
108.
200
-75.
449
8.82
60.
00
Plan
t inv
ader
abu
ndan
cePm
1331
a +
sow
ndiv
^c44
.253
613
.667
-75.
386
8.88
90.
00
Plan
t inv
ader
abu
ndan
cePp
2221
a +
b *
sow
ndiv
46.6
418
10.2
50-7
5.31
08.
964
0.00
Plan
t inv
ader
abu
ndan
cePn
1821
a +
sow
ndiv
^c44
.155
613
.667
-75.
191
9.08
40.
00
Supplementary Table 2 (continued)
SUPPLEMENTARY INFORMATIONRESEARCHdoi:10.1038/nature09492
WWW NATURE.COM/NATURE | 57
Long
var
iabl
e na
me
mod
el n
ame
mod
el fo
rmul
aLL
KN
2KA
ICc
delt
AIC
cw
_ic
Plan
t inv
ader
abu
ndan
cePq
2831
a +
sow
ndiv
^c45
.974
810
.250
-73.
975
10.3
000.
00
Plan
t inv
ader
abu
ndan
cePe
631
a +
b *
sow
ndiv
^c45
.966
810
.250
-73.
959
10.3
160.
00
Plan
t inv
ader
abu
ndan
cePp
2431
b *
sow
ndiv
^c45
.810
810
.250
-73.
647
10.6
270.
00
Plan
t inv
ader
abu
ndan
ceL0
21bl
ock
+ (s
ownd
iv +
func
gr +
gra
ss +
leg)
^256
.949
165.
125
-73.
529
10.7
450.
00
Plan
t inv
ader
abu
ndan
cePp
2321
a +
sow
ndiv
^c44
.915
810
.250
-71.
858
12.4
160.
00
Plan
t inv
ader
abu
ndan
ceE2
2a
+ b
* ex
p(so
wnd
iv)
40.1
184
20.5
00-7
1.71
612
.559
0.00
Plan
t inv
ader
abu
ndan
cePr
3221
a +
b *
sow
ndiv
44.7
828
10.2
50-7
1.59
112
.683
0.00
Plan
t inv
ader
abu
ndan
cePs
3931
b *
sow
ndiv
^c47
.285
108.
200
-71.
472
12.8
020.
00
Plan
t inv
ader
abu
ndan
cePn
1921
b *
sow
ndiv
^c42
.293
613
.667
-71.
465
12.8
090.
00
Plan
t inv
ader
abu
ndan
cePr
3321
a +
sow
ndiv
^c44
.683
810
.250
-71.
394
12.8
800.
00
Plan
t inv
ader
abu
ndan
ceEb
1511
a +
exp(
c *
sow
ndiv
)42
.254
613
.667
-71.
388
12.8
860.
00
Plan
t inv
ader
abu
ndan
cePm
1221
a +
b *
sow
ndiv
42.1
836
13.6
67-7
1.24
513
.029
0.00
Plan
t inv
ader
abu
ndan
ceL2
11so
wnd
iv +
func
gr +
leg
42.1
326
13.6
67-7
1.14
413
.131
0.00
Plan
t inv
ader
abu
ndan
cePc
321
a +
sow
ndiv
^c39
.601
420
.500
-70.
683
13.5
920.
00
Plan
t inv
ader
abu
ndan
cePs
3721
a +
b *
sow
ndiv
46.8
4910
8.20
0-7
0.59
913
.676
0.00
Plan
t inv
ader
abu
ndan
cePc
121
a +
b *
sow
ndiv
^c40
.352
516
.400
-69.
915
14.3
600.
00
Plan
t inv
ader
abu
ndan
cePp
2421
b *
sow
ndiv
^c43
.816
810
.250
-69.
658
14.6
160.
00
Plan
t inv
ader
abu
ndan
ceM
211
d +
a *
sow
ndiv
/(b
+ so
wnd
iv)
40.1
465
16.4
00-6
9.50
214
.772
0.00
Plan
t inv
ader
abu
ndan
ceEa
911
a +
exp(
c *
sow
ndiv
)41
.265
613
.667
-69.
410
14.8
650.
00
Plan
t inv
ader
abu
ndan
cePe
721
a +
b *
sow
ndiv
41.2
046
13.6
67-6
9.28
914
.986
0.00
Plan
t inv
ader
abu
ndan
cePn
1931
b *
sow
ndiv
^c41
.149
613
.667
-69.
178
15.0
960.
00
Plan
t inv
ader
abu
ndan
ceE3
1a
+ ex
p(c
* so
wnd
iv)
38.8
004
20.5
00-6
9.08
015
.194
0.00
Plan
t inv
ader
abu
ndan
cePn
1721
a +
b *
sow
ndiv
40.9
956
13.6
67-6
8.87
015
.405
0.00
Plan
t inv
ader
abu
ndan
cePc
221
a +
b *
sow
ndiv
38.5
884
20.5
00-6
8.65
615
.618
0.00
Plan
t inv
ader
abu
ndan
cePe
931
b *
sow
ndiv
^c40
.776
613
.667
-68.
432
15.8
430.
00
Plan
t inv
ader
abu
ndan
cePp
2121
a +
b *
sow
ndiv
^c47
.064
117.
455
-68.
357
15.9
170.
00
Plan
t inv
ader
abu
ndan
cePq
2931
b *
sow
ndiv
^c43
.015
810
.250
-68.
058
16.2
160.
00
Plan
t inv
ader
abu
ndan
cePs
3921
b *
sow
ndiv
^c45
.546
108.
200
-67.
994
16.2
810.
00
Plan
t inv
ader
abu
ndan
cePs
3821
a +
sow
ndiv
^c45
.287
108.
200
-67.
475
16.7
990.
00
Plan
t inv
ader
abu
ndan
cePq
2721
a +
b *
sow
ndiv
42.6
618
10.2
50-6
7.34
916
.925
0.00
Plan
t inv
ader
abu
ndan
cePm
1321
a +
sow
ndiv
^c40
.157
613
.667
-67.
194
17.0
800.
00
Plan
t inv
ader
abu
ndan
cePc
421
b *
sow
ndiv
^c37
.776
420
.500
-67.
033
17.2
420.
00
Plan
t inv
ader
abu
ndan
cePr
3431
b *
sow
ndiv
^c42
.487
810
.250
-67.
001
17.2
730.
00
Supplementary Table 2 (continued)
SUPPLEMENTARY INFORMATIONRESEARCHdoi:10.1038/nature09492
WWW NATURE.COM/NATURE | 58
Long
var
iabl
e na
me
mod
el n
ame
mod
el fo
rmul
aLL
KN
2KA
ICc
delt
AIC
cw
_ic
Plan
t inv
ader
abu
ndan
cePr
3421
b *
sow
ndiv
^c42
.481
810
.250
-66.
990
17.2
850.
00
Plan
t inv
ader
abu
ndan
cePm
1121
a +
b *
sow
ndiv
^c42
.423
810
.250
-66.
874
17.4
000.
00
Plan
t inv
ader
abu
ndan
cePe
821
a +
sow
ndiv
^c39
.853
613
.667
-66.
586
17.6
880.
00
Plan
t inv
ader
abu
ndan
ceL0
11bl
ock
+ (s
ownd
iv +
func
gr +
gra
ss +
leg)
^253
.396
165.
125
-66.
423
17.8
520.
00
Plan
t inv
ader
abu
ndan
ceL2
2so
wnd
iv +
func
gr +
leg
39.7
216
13.6
67-6
6.32
117
.953
0.00
Plan
t inv
ader
abu
ndan
ceL0
2bl
ock
+ (s
ownd
iv +
func
gr +
gra
ss +
leg)
^253
.251
165.
125
-66.
132
18.1
420.
00
Plan
t inv
ader
abu
ndan
ceM
1521
d +
a *
sow
ndiv
/(b
+ so
wnd
iv)
45.9
3011
7.45
5-6
6.08
918
.185
0.00
Plan
t inv
ader
abu
ndan
cePe
621
a +
b *
sow
ndiv
^c41
.381
810
.250
-64.
790
19.4
850.
00
Plan
t inv
ader
abu
ndan
cePq
2821
a +
sow
ndiv
^c41
.280
810
.250
-64.
587
19.6
870.
00
Plan
t inv
ader
abu
ndan
cePq
2921
b *
sow
ndiv
^c41
.113
810
.250
-64.
254
20.0
210.
00
Plan
t inv
ader
abu
ndan
cePm
1421
b *
sow
ndiv
^c38
.553
613
.667
-63.
987
20.2
880.
00
Plan
t inv
ader
abu
ndan
cePe
921
b *
sow
ndiv
^c38
.531
613
.667
-63.
941
20.3
330.
00
Plan
t inv
ader
abu
ndan
cePc
431
b *
sow
ndiv
^c36
.144
420
.500
-63.
768
20.5
070.
00
Plan
t inv
ader
abu
ndan
cePm
1431
b *
sow
ndiv
^c38
.291
613
.667
-63.
462
20.8
120.
00
Plan
t inv
ader
abu
ndan
ceM
1421
d +
a *
sow
ndiv
/(b
+ so
wnd
iv)
43.5
4511
7.45
5-6
1.31
922
.955
0.00
Plan
t inv
ader
abu
ndan
ceM
611
a *
sow
ndiv
/(b
+ so
wnd
iv)
39.4
848
10.2
50-6
0.99
523
.279
0.00
Plan
t inv
ader
abu
ndan
cePg
181
a +
sow
ndiv
^c34
.980
516
.400
-59.
171
25.1
030.
00
Plan
t inv
ader
abu
ndan
cePg
191
b *
sow
ndiv
^c34
.617
516
.400
-58.
445
25.8
300.
00
Plan
t inv
ader
abu
ndan
ceM
511
a *
sow
ndiv
/(b
+ so
wnd
iv)
35.6
206
13.6
67-5
8.12
126
.154
0.00
Plan
t inv
ader
abu
ndan
cePh
221
a +
b *
sow
ndiv
36.4
867
11.7
14-5
7.45
826
.816
0.00
Plan
t inv
ader
abu
ndan
ceL2
sow
ndiv
+ fu
ncgr
+ le
g33
.960
516
.400
-57.
130
27.1
440.
00
Plan
t inv
ader
abu
ndan
ceM
522
a *
sow
ndiv
/(b
+ so
wnd
iv)
34.9
496
13.6
67-5
6.77
827
.497
0.00
Plan
t inv
ader
abu
ndan
cePh
241
b *
sow
ndiv
^c36
.033
711
.714
-56.
553
27.7
220.
00
Plan
t inv
ader
abu
ndan
cePh
231
a +
sow
ndiv
^c35
.822
711
.714
-56.
130
28.1
450.
00
Plan
t inv
ader
abu
ndan
ceM
711
a *
sow
ndiv
/(b
+ so
wnd
iv)
36.9
028
10.2
50-5
5.83
228
.443
0.00
Plan
t inv
ader
abu
ndan
cePj
331
a +
sow
ndiv
^c35
.634
711
.714
-55.
754
28.5
210.
00
Plan
t inv
ader
abu
ndan
ceM
311
a *
sow
ndiv
/(b
+ so
wnd
iv)
34.4
126
13.6
67-5
5.70
328
.571
0.00
Plan
t inv
ader
abu
ndan
ceM
411
a *
sow
ndiv
/(b
+ so
wnd
iv)
34.3
826
13.6
67-5
5.64
428
.630
0.00
Plan
t inv
ader
abu
ndan
cePj
321
a +
b *
sow
ndiv
35.0
687
11.7
14-5
4.62
329
.652
0.00
Plan
t inv
ader
abu
ndan
cePj
341
b *
sow
ndiv
^c35
.063
711
.714
-54.
612
29.6
630.
00
Plan
t inv
ader
abu
ndan
cePf
121
a +
b *
sow
ndiv
32.5
635
16.4
00-5
4.33
729
.938
0.00
Plan
t inv
ader
abu
ndan
ceM
722
a *
sow
ndiv
/(b
+ so
wnd
iv)
36.1
218
10.2
50-5
4.27
030
.004
0.00
Plan
t inv
ader
abu
ndan
ceM
821
a *
sow
ndiv
/(b
+ so
wnd
iv)
36.0
948
10.2
50-5
4.21
630
.059
0.00
Supplementary Table 2 (continued)
SUPPLEMENTARY INFORMATIONRESEARCHdoi:10.1038/nature09492
WWW NATURE.COM/NATURE | 59
Long
var
iabl
e na
me
mod
el n
ame
mod
el fo
rmul
aLL
KN
2KA
ICc
delt
AIC
cw
_ic
Plan
t inv
ader
abu
ndan
cePa
3a
+ so
wnd
iv^c
30.1
343
27.3
33-5
3.96
030
.315
0.00
Plan
t inv
ader
abu
ndan
cePb
31a
+ so
wnd
iv^c
30.1
343
27.3
33-5
3.96
030
.315
0.00
Plan
t inv
ader
abu
ndan
cePk
391
b *
sow
ndiv
^c37
.000
99.
111
-53.
499
30.7
750.
00
Plan
t inv
ader
abu
ndan
ceM
932
a *
sow
ndiv
/(b
+ so
wnd
iv)
38.2
0710
8.20
0-5
3.31
530
.959
0.00
Plan
t inv
ader
abu
ndan
cePa
4b
* so
wnd
iv^c
29.7
883
27.3
33-5
3.26
931
.006
0.00
Plan
t inv
ader
abu
ndan
cePb
41b
* so
wnd
iv^c
29.7
883
27.3
33-5
3.26
931
.006
0.00
Plan
t inv
ader
abu
ndan
cePk
371
a +
b *
sow
ndiv
36.7
209
9.11
1-5
2.94
031
.334
0.00
Plan
t inv
ader
abu
ndan
cePf
131
a +
sow
ndiv
^c31
.751
516
.400
-52.
712
31.5
630.
00
Plan
t inv
ader
abu
ndan
cePa
1a
+ b
* so
wnd
iv^c
30.2
704
20.5
00-5
2.02
132
.254
0.00
Plan
t inv
ader
abu
ndan
cePb
11a
+ b
* so
wnd
iv^c
30.2
704
20.5
00-5
2.02
132
.254
0.00
Plan
t inv
ader
abu
ndan
cePf
141
b *
sow
ndiv
^c31
.388
516
.400
-51.
986
32.2
880.
00
Plan
t inv
ader
abu
ndan
cePk
381
a +
sow
ndiv
^c36
.239
99.
111
-51.
977
32.2
970.
00
Plan
t inv
ader
abu
ndan
cePg
171
a +
b *
sow
ndiv
31.2
465
16.4
00-5
1.70
232
.572
0.00
Plan
t inv
ader
abu
ndan
ceM
2d
+ a
* so
wnd
iv/(
b +
sow
ndiv
)30
.089
420
.500
-51.
658
32.6
160.
00
Plan
t inv
ader
abu
ndan
ceA
S1SS
asym
p(so
wnd
iv, A
sym
, R0,
lrc)
29.9
654
20.5
00-5
1.41
032
.864
0.00
Plan
t inv
ader
abu
ndan
ceM
3a
* so
wnd
iv/(
b +
sow
ndiv
)30
.972
516
.400
-51.
155
33.1
190.
00
Plan
t inv
ader
abu
ndan
cePa
2a
+ b
* so
wnd
iv28
.556
327
.333
-50.
805
33.4
700.
00
Plan
t inv
ader
abu
ndan
cePb
21a
+ b
* so
wnd
iv28
.556
327
.333
-50.
805
33.4
700.
00
Plan
t inv
ader
abu
ndan
ceM
422
a *
sow
ndiv
/(b
+ so
wnd
iv)
31.7
176
13.6
67-5
0.31
533
.960
0.00
Plan
t inv
ader
abu
ndan
cePd
71a
+ b
* so
wnd
iv30
.410
516
.400
-50.
030
34.2
450.
00
Plan
t inv
ader
abu
ndan
cePi
271
a +
b *
sow
ndiv
32.7
267
11.7
14-4
9.93
934
.335
0.00
Plan
t inv
ader
abu
ndan
ceBI
EXP
SSbi
exp(
sow
ndiv
, A1,
lrc1
, A2,
lrc2
)30
.313
516
.400
-49.
837
34.4
370.
00
Plan
t inv
ader
abu
ndan
cePf
111
a +
b *
sow
ndiv
^c32
.652
711
.714
-49.
791
34.4
830.
00
Plan
t inv
ader
abu
ndan
ceM
321
a *
sow
ndiv
/(b
+ so
wnd
iv)
31.4
156
13.6
67-4
9.71
034
.565
0.00
Plan
t inv
ader
abu
ndan
cePd
81a
+ so
wnd
iv^c
30.1
615
16.4
00-4
9.53
234
.743
0.00
Plan
t inv
ader
abu
ndan
ceM
1a
* so
wnd
iv/(
b +
sow
ndiv
)27
.831
327
.333
-49.
354
34.9
200.
00
Plan
t inv
ader
abu
ndan
ceM
1aSS
mic
men
(sow
ndiv
, Vm
, k)
27.8
313
27.3
33-4
9.35
434
.920
0.00
Plan
t inv
ader
abu
ndan
cePi
291
b *
sow
ndiv
^c32
.283
711
.714
-49.
052
35.2
220.
00
Plan
t inv
ader
abu
ndan
cePi
281
a +
sow
ndiv
^c32
.281
711
.714
-49.
048
35.2
260.
00
Plan
t inv
ader
abu
ndan
cePd
91b
* so
wnd
iv^c
29.9
145
16.4
00-4
9.03
835
.237
0.00
Plan
t inv
ader
abu
ndan
ceM
151
d +
a *
sow
ndiv
/(b
+ so
wnd
iv)
36.0
3910
8.20
0-4
8.98
035
.295
0.00
Plan
t inv
ader
abu
ndan
ceM
81a
* so
wnd
iv/(
b +
sow
ndiv
)32
.234
711
.714
-48.
954
35.3
200.
00
Plan
t inv
ader
abu
ndan
ceM
832
a *
sow
ndiv
/(b
+ so
wnd
iv)
33.4
198
10.2
50-4
8.86
635
.409
0.00
Supplementary Table 2 (continued)
SUPPLEMENTARY INFORMATIONRESEARCHdoi:10.1038/nature09492
WWW NATURE.COM/NATURE | 60
Long
var
iabl
e na
me
mod
el n
ame
mod
el fo
rmul
aLL
KN
2KA
ICc
delt
AIC
cw
_ic
Plan
t inv
ader
abu
ndan
cePj
311
a +
b *
sow
ndiv
^c35
.961
108.
200
-48.
824
35.4
510.
00
Plan
t inv
ader
abu
ndan
ceM
4a
* so
wnd
iv/(
b +
sow
ndiv
)29
.731
516
.400
-48.
672
35.6
020.
00
Plan
t inv
ader
abu
ndan
ceM
91a
* so
wnd
iv/(
b +
sow
ndiv
)34
.291
99.
111
-48.
082
36.1
920.
00
Plan
t inv
ader
abu
ndan
ceM
7a
* so
wnd
iv/(
b +
sow
ndiv
)30
.885
711
.714
-46.
256
38.0
190.
00
Plan
t inv
ader
abu
ndan
ceE2
a +
b *
exp(
sow
ndiv
)26
.173
327
.333
-46.
038
38.2
360.
00
Plan
t inv
ader
abu
ndan
cePd
61a
+ b
* so
wnd
iv^c
30.4
727
11.7
14-4
5.43
138
.844
0.00
Plan
t inv
ader
abu
ndan
ceL0
bloc
k +
(sow
ndiv
+ fu
ncgr
+ g
rass
+ le
g)^2
40.7
8215
5.46
7-4
4.29
139
.983
0.00
Plan
t inv
ader
abu
ndan
cePi
261
a +
b *
sow
ndiv
^c32
.917
108.
200
-42.
736
41.5
390.
00
Plan
t inv
ader
abu
ndan
ceEa
1221
exp(
c *
sow
ndiv
)24
.206
420
.500
-39.
892
44.3
820.
00
Plan
t inv
ader
abu
ndan
ceEf
4221
exp(
c *
sow
ndiv
)25
.198
516
.400
-39.
607
44.6
670.
00
Plan
t inv
ader
abu
ndan
ceEd
3021
exp(
c *
sow
ndiv
)25
.091
516
.400
-39.
392
44.8
820.
00
Plan
t inv
ader
abu
ndan
ceEc
2421
exp(
c *
sow
ndiv
)21
.536
420
.500
-34.
553
49.7
220.
00
Plan
t inv
ader
abu
ndan
ceEa
121
exp(
c *
sow
ndiv
)20
.206
420
.500
-31.
893
52.3
820.
00
Plan
t inv
ader
abu
ndan
ceM
921
a *
sow
ndiv
/(b
+ so
wnd
iv)
27.0
3210
8.20
0-3
0.96
653
.309
0.00
Plan
t inv
ader
abu
ndan
ceEf
4211
exp(
c *
sow
ndiv
)20
.862
516
.400
-30.
934
53.3
400.
00
Plan
t inv
ader
abu
ndan
ceM
622
a *
sow
ndiv
/(b
+ so
wnd
iv)
24.1
058
10.2
50-3
0.23
754
.037
0.00
Plan
t inv
ader
abu
ndan
ceEa
12ex
p(c
* so
wnd
iv)
16.6
953
27.3
33-2
7.08
257
.192
0.00
Plan
t inv
ader
abu
ndan
ceE6
2ex
p(c
* so
wnd
iv)
16.5
123
27.3
33-2
6.71
657
.558
0.00
Plan
t inv
ader
abu
ndan
ceEb
1821
exp(
c *
sow
ndiv
)16
.715
420
.500
-24.
910
59.3
640.
00
Plan
t inv
ader
abu
ndan
ceEc
2411
exp(
c *
sow
ndiv
)16
.339
420
.500
-24.
158
60.1
160.
00
Plan
t inv
ader
abu
ndan
ceEc
24ex
p(c
* so
wnd
iv)
13.6
673
27.3
33-2
1.02
663
.248
0.00
Plan
t inv
ader
abu
ndan
ceE6
1ex
p(c
* so
wnd
iv)
11.0
043
27.3
33-1
5.70
068
.574
0.00
Plan
t inv
ader
abu
ndan
ceEb
1811
exp(
c *
sow
ndiv
)11
.140
420
.500
-13.
760
70.5
150.
00
Plan
t inv
ader
abu
ndan
cePn
2021
sow
ndiv
^c10
.348
420
.500
-12.
176
72.0
990.
00
Plan
t inv
ader
abu
ndan
cePc
521
sow
ndiv
^c8.
497
327
.333
-10.
685
73.5
890.
00
Plan
t inv
ader
abu
ndan
ceEb
18ex
p(c
* so
wnd
iv)
8.49
23
27.3
33-1
0.67
673
.599
0.00
Plan
t inv
ader
abu
ndan
ceM
6a
* so
wnd
iv/(
b +
sow
ndiv
)13
.077
711
.714
-10.
640
73.6
340.
00
Plan
t inv
ader
abu
ndan
cePp
2521
sow
ndiv
^c10
.517
516
.400
-10.
244
74.0
300.
00
Plan
t inv
ader
abu
ndan
cePr
3521
sow
ndiv
^c10
.352
516
.400
-9.9
1474
.360
0.00
Plan
t inv
ader
abu
ndan
cePe
1021
sow
ndiv
^c8.
958
420
.500
-9.3
9774
.877
0.00
Plan
t inv
ader
abu
ndan
cePs
4021
sow
ndiv
^c10
.956
613
.667
-8.7
9275
.483
0.00
Plan
t inv
ader
abu
ndan
cePm
1521
sow
ndiv
^c8.
558
420
.500
-8.5
9675
.678
0.00
Plan
t inv
ader
abu
ndan
cePq
3021
sow
ndiv
^c8.
990
516
.400
-7.1
9177
.084
0.00
Supplementary Table 2 (continued)
SUPPLEMENTARY INFORMATIONRESEARCHdoi:10.1038/nature09492
WWW NATURE.COM/NATURE | 61
Long
var
iabl
e na
me
mod
el n
ame
mod
el fo
rmul
aLL
KN
2KA
ICc
delt
AIC
cw
_ic
Plan
t inv
ader
abu
ndan
ceE5
2b
* ex
p(so
wnd
iv)
4.86
63
27.3
33-3
.424
80.8
500.
00
Plan
t inv
ader
abu
ndan
ceE5
1b
* ex
p(so
wnd
iv)
-1.9
203
27.3
3310
.148
94.4
220.
00
Plan
t inv
ader
abu
ndan
cePn
2031
sow
ndiv
^c-2
.959
420
.500
14.4
3898
.712
0.00
Plan
t inv
ader
abu
ndan
cePc
531
sow
ndiv
^c-4
.439
327
.333
15.1
8699
.460
0.00
Plan
t inv
ader
abu
ndan
cePp
2531
sow
ndiv
^c-2
.463
516
.400
15.7
1599
.990
0.00
Plan
t inv
ader
abu
ndan
cePr
3531
sow
ndiv
^c-2
.779
516
.400
16.3
4710
0.62
10.
00
Plan
t inv
ader
abu
ndan
cePe
1031
sow
ndiv
^c-4
.182
420
.500
16.8
8410
1.15
80.
00
Plan
t inv
ader
abu
ndan
cePm
1531
sow
ndiv
^c-4
.434
420
.500
17.3
8710
1.66
10.
00
Plan
t inv
ader
abu
ndan
cePs
4031
sow
ndiv
^c-2
.209
613
.667
17.5
3910
1.81
30.
00
Plan
t inv
ader
abu
ndan
cePq
3031
sow
ndiv
^c-3
.964
516
.400
18.7
1810
2.99
20.
00
Plan
t inv
ader
abu
ndan
ceE5
b *
exp(
sow
ndiv
)-1
1.14
12
41.0
0026
.434
110.
708
0.00
Plan
t inv
ader
abu
ndan
cePg
201
sow
ndiv
^c-3
1.33
63
27.3
3368
.980
153.
255
0.00
Plan
t inv
ader
abu
ndan
cePj
351
sow
ndiv
^c-3
1.29
64
20.5
0071
.111
155.
385
0.00
Plan
t inv
ader
abu
ndan
cePb
51so
wnd
iv^c
-33.
511
241
.000
71.1
7315
5.44
80.
00
Plan
t inv
ader
abu
ndan
cePa
5so
wnd
iv^c
-33.
511
241
.000
71.1
7315
5.44
80.
00
Plan
t inv
ader
abu
ndan
cePh
251
sow
ndiv
^c-3
1.33
64
20.5
0071
.192
155.
466
0.00
Plan
t inv
ader
abu
ndan
cePd
101
sow
ndiv
^c-3
2.67
43
27.3
3371
.656
155.
930
0.00
Plan
t inv
ader
abu
ndan
cePk
401
sow
ndiv
^c-3
1.17
55
16.4
0073
.140
157.
414
0.00
Plan
t inv
ader
abu
ndan
cePf
151
sow
ndiv
^c-3
3.45
63
27.3
3373
.220
157.
494
0.00
Plan
t inv
ader
abu
ndan
cePi
301
sow
ndiv
^c-3
2.36
54
20.5
0073
.249
157.
523
0.00
Plan
t inv
ader
abu
ndan
ceEc
2221
a +
exp(
sow
ndiv
)-7
94.7
024
20.5
0015
97.9
2416
82.1
990.
00
Plan
t inv
ader
abu
ndan
ceEd
2821
a +
exp(
sow
ndiv
)-7
94.6
895
16.4
0016
00.1
6816
84.4
420.
00
Plan
t inv
ader
abu
ndan
ceEe
342
a +
exp(
sow
ndiv
)-7
94.6
975
16.4
0016
00.1
8316
84.4
580.
00
Plan
t inv
ader
abu
ndan
ceEg
4621
a +
exp(
sow
ndiv
)-7
94.6
886
13.6
6716
02.4
9616
86.7
710.
00
Plan
t inv
ader
abu
ndan
ceE4
2a
+ ex
p(so
wnd
iv)
-801
.511
327
.333
1609
.329
1693
.603
0.00
Plan
t inv
ader
abu
ndan
ceEb
1621
a +
exp(
sow
ndiv
)-8
01.3
424
20.5
0016
11.2
0416
95.4
790.
00
Plan
t inv
ader
abu
ndan
ceEa
1021
a +
exp(
sow
ndiv
)-8
01.4
504
20.5
0016
11.4
2016
95.6
940.
00
Plan
t inv
ader
abu
ndan
ceEf
4021
a +
exp(
sow
ndiv
)-8
01.1
655
16.4
0016
13.1
2016
97.3
940.
00
Plan
t inv
ader
abu
ndan
ceEa
1011
a +
exp(
sow
ndiv
)-1
766.
566
420
.500
3541
.651
3625
.925
0.00
Plan
t inv
ader
abu
ndan
ceE4
1a
+ ex
p(so
wnd
iv)
-176
8.03
63
27.3
3335
42.3
7936
26.6
540.
00
Plan
t inv
ader
abu
ndan
ceEb
1611
a +
exp(
sow
ndiv
)-1
767.
522
420
.500
3543
.564
3627
.838
0.00
Plan
t inv
ader
abu
ndan
ceEf
4011
a +
exp(
sow
ndiv
)-1
766.
448
516
.400
3543
.685
3627
.959
0.00
Plan
t inv
ader
abu
ndan
ceEd
2811
a +
exp(
sow
ndiv
)-1
766.
566
516
.400
3543
.921
3628
.195
0.00
Supplementary Table 2 (continued)
SUPPLEMENTARY INFORMATIONRESEARCHdoi:10.1038/nature09492
WWW NATURE.COM/NATURE | 62
Long
var
iabl
e na
me
mod
el n
ame
mod
el fo
rmul
aLL
KN
2KA
ICc
delt
AIC
cw
_ic
Plan
t inv
ader
abu
ndan
ceEc
2211
a +
exp(
sow
ndiv
)-1
768.
036
420
.500
3544
.591
3628
.865
0.00
Plan
t inv
ader
abu
ndan
ceEe
341
a +
exp(
sow
ndiv
)-1
767.
522
516
.400
3545
.834
3630
.108
0.00
Plan
t inv
ader
abu
ndan
ceEg
4611
a +
exp(
sow
ndiv
)-1
766.
448
613
.667
3546
.015
3630
.290
0.00
Plan
t inv
ader
abu
ndan
ceEf
3721
a +
b *
exp(
c *
sow
ndiv
)-2
739.
352
117.
455
5504
.476
5588
.751
0.00
Plan
t inv
ader
abu
ndan
ceE4
a +
exp(
sow
ndiv
)-4
912.
516
241
.000
9829
.183
9913
.457
0.00
Plan
t inv
ader
abu
ndan
ceEa
10a
+ ex
p(so
wnd
iv)
-491
2.51
63
27.3
3398
31.3
3999
15.6
130.
00
Plan
t inv
ader
abu
ndan
ceEb
16a
+ ex
p(so
wnd
iv)
-491
2.51
63
27.3
3398
31.3
3999
15.6
130.
00
Plan
t inv
ader
abu
ndan
ceEc
22a
+ ex
p(so
wnd
iv)
-491
2.51
63
27.3
3398
31.3
3999
15.6
130.
00
Plan
t inv
ader
abu
ndan
ceEd
28a
+ ex
p(so
wnd
iv)
-491
2.51
64
20.5
0098
33.5
5199
17.8
250.
00
Plan
t inv
ader
abu
ndan
ceEe
40a
+ ex
p(so
wnd
iv)
-491
2.51
64
20.5
0098
33.5
5199
17.8
250.
00
Plan
t inv
ader
abu
ndan
ceEf
40a
+ ex
p(so
wnd
iv)
-491
2.51
64
20.5
0098
33.5
5199
17.8
250.
00
Plan
t inv
ader
abu
ndan
ceEg
46a
+ ex
p(so
wnd
iv)
-491
2.51
65
16.4
0098
35.8
2199
20.0
950.
00
Myc
orrh
iza
dive
rsity
L2so
wnd
iv +
func
gr +
leg
22.3
805
15.4
00-3
3.91
50.
000
0.16
Myc
orrh
iza
dive
rsity
Pa2
a +
b *
sow
ndiv
20.0
383
25.6
67-3
3.74
70.
168
0.15
Myc
orrh
iza
dive
rsity
LG2
SSlo
gis(
sow
ndiv
, Asy
m, x
mid
, sca
l)20
.753
419
.250
-32.
951
0.96
50.
10
Myc
orrh
iza
dive
rsity
Pa4
b *
sow
ndiv
^c19
.561
325
.667
-32.
793
1.12
20.
09
Myc
orrh
iza
dive
rsity
AS2
SSas
ympO
ff(s
ownd
iv, A
sym
, lrc
, c0)
20.6
444
19.2
50-3
2.73
31.
182
0.09
Myc
orrh
iza
dive
rsity
AS1
SSas
ymp(
sow
ndiv
, Asy
m, R
0, lr
c)20
.644
419
.250
-32.
733
1.18
20.
09
Myc
orrh
iza
dive
rsity
Pa3
a +
sow
ndiv
^c19
.470
325
.667
-32.
611
1.30
50.
08
Myc
orrh
iza
dive
rsity
M2
d +
a *
sow
ndiv
/(b
+ so
wnd
iv)
20.5
554
19.2
50-3
2.55
41.
362
0.08
Myc
orrh
iza
dive
rsity
Pa1
a +
b *
sow
ndiv
^c20
.262
419
.250
-31.
968
1.94
70.
06
Myc
orrh
iza
dive
rsity
E2a
+ b
* ex
p(so
wnd
iv)
18.5
543
25.6
67-3
0.77
93.
136
0.03
Myc
orrh
iza
dive
rsity
M1
a *
sow
ndiv
/(b
+ so
wnd
iv)
18.0
303
25.6
67-2
9.73
14.
184
0.02
Myc
orrh
iza
dive
rsity
M1a
SSm
icm
en(s
ownd
iv, V
m, k
)18
.030
325
.667
-29.
731
4.18
40.
02
Myc
orrh
iza
dive
rsity
AS3
SSas
ympO
rig(s
ownd
iv, A
sym
, lrc
)17
.712
325
.667
-29.
095
4.82
10.
01
Myc
orrh
iza
dive
rsity
L0bl
ock
+ (s
ownd
iv +
func
gr +
gra
ss +
leg)
^231
.426
155.
133
-24.
983
8.93
20.
00
Myc
orrh
iza
dive
rsity
Pa5
sow
ndiv
^c-2
9.46
62
38.5
0063
.094
97.0
090.
00
Myc
orrh
iza
dive
rsity
E5b
* ex
p(so
wnd
iv)
-57.
516
238
.500
119.
193
153.
109
0.00
Myc
orrh
iza
dive
rsity
E4a
+ ex
p(so
wnd
iv)
-460
4.31
82
38.5
0092
12.7
9992
46.7
140.
00
Abo
vegr
ound
her
bivo
re d
iver
sity
L0bl
ock
+ (s
ownd
iv +
func
gr +
gra
ss +
leg)
^252
.874
153.
333
-61.
630
0.00
00.
73
Abov
egro
und
herb
ivor
e di
vers
ityL2
sow
ndiv
+ fu
ncgr
+ le
g35
.489
510
.000
-59.
614
2.01
60.
27
Abov
egro
und
herb
ivor
e di
vers
ityPa
4b
* so
wnd
iv^c
24.6
613
16.6
67-4
2.80
118
.829
0.00
Abov
egro
und
herb
ivor
e di
vers
ityPa
1a
+ b
* so
wnd
iv^c
24.8
164
12.5
00-4
0.74
320
.886
0.00
Supplementary Table 2 (continued)
SUPPLEMENTARY INFORMATIONRESEARCHdoi:10.1038/nature09492
WWW NATURE.COM/NATURE | 63
Long
var
iabl
e na
me
mod
el n
ame
mod
el fo
rmul
aLL
KN
2KA
ICc
delt
AIC
cw
_ic
Abov
egro
und
herb
ivor
e di
vers
ityM
2d
+ a
* so
wnd
iv/(
b +
sow
ndiv
)24
.509
412
.500
-40.
129
21.5
000.
00
Abov
egro
und
herb
ivor
e di
vers
ityA
S1SS
asym
p(so
wnd
iv, A
sym
, R0,
lrc)
24.4
374
12.5
00-3
9.98
521
.644
0.00
Abov
egro
und
herb
ivor
e di
vers
ityAS
2SS
asym
pOff
(sow
ndiv
, Asy
m, l
rc, c
0)24
.437
412
.500
-39.
985
21.6
440.
00
Abov
egro
und
herb
ivor
e di
vers
ityLG
2SS
logi
s(so
wnd
iv, A
sym
, xm
id, s
cal)
23.9
864
12.5
00-3
9.08
422
.546
0.00
Abov
egro
und
herb
ivor
e di
vers
ityPa
3a
+ so
wnd
iv^c
22.6
373
16.6
67-3
8.75
322
.877
0.00
Abov
egro
und
herb
ivor
e di
vers
ityPa
2a
+ b
* so
wnd
iv21
.592
316
.667
-36.
662
24.9
670.
00
Abov
egro
und
herb
ivor
e di
vers
ityM
1aSS
mic
men
(sow
ndiv
, Vm
, k)
19.2
843
16.6
67-3
2.04
729
.583
0.00
Abov
egro
und
herb
ivor
e di
vers
ityM
1a
* so
wnd
iv/(
b +
sow
ndiv
)19
.284
316
.667
-32.
047
29.5
830.
00
Abov
egro
und
herb
ivor
e di
vers
ityAS
3SS
asym
pOrig
(sow
ndiv
, Asy
m, l
rc)
15.8
733
16.6
67-2
5.22
536
.405
0.00
Abov
egro
und
herb
ivor
e di
vers
ityE2
a +
b *
exp(
sow
ndiv
)12
.252
316
.667
-17.
982
43.6
470.
00
Abov
egro
und
herb
ivor
e di
vers
ityE5
b *
exp(
sow
ndiv
)-1
9.71
22
25.0
0043
.678
105.
308
0.00
Abo
vegr
ound
her
bivo
re d
iver
sity
Pa5
sow
ndiv
^c-4
1.02
92
25.0
0086
.313
147.
942
0.00
Abo
vegr
ound
her
bivo
re d
iver
sity
E4a
+ ex
p(so
wnd
iv)
-300
7.80
42
25.0
0060
19.8
6360
81.4
920.
00
Abov
egro
und
carn
ivor
e di
vers
ityPa
3a
+ so
wnd
iv^c
10.9
993
16.6
67-1
5.47
60.
000
0.30
Abov
egro
und
carn
ivor
e di
vers
ityPa
4b
* so
wnd
iv^c
10.9
263
16.6
67-1
5.33
00.
146
0.28
Abov
egro
und
carn
ivor
e di
vers
ityPa
1a
+ b
* so
wnd
iv^c
10.9
994
12.5
00-1
3.10
92.
367
0.09
Abov
egro
und
carn
ivor
e di
vers
ityM
2d
+ a
* so
wnd
iv/(
b +
sow
ndiv
)10
.665
412
.500
-12.
441
3.03
50.
07
Abov
egro
und
carn
ivor
e di
vers
ityL2
sow
ndiv
+ fu
ncgr
+ le
g11
.623
510
.000
-11.
883
3.59
30.
05
Abov
egro
und
carn
ivor
e di
vers
ityA
S1SS
asym
p(so
wnd
iv, A
sym
, R0,
lrc)
10.3
284
12.5
00-1
1.76
83.
708
0.05
Abov
egro
und
carn
ivor
e di
vers
ityAS
2SS
asym
pOff
(sow
ndiv
, Asy
m, l
rc, c
0)10
.328
412
.500
-11.
768
3.70
80.
05
Abov
egro
und
carn
ivor
e di
vers
ityM
1aSS
mic
men
(sow
ndiv
, Vm
, k)
9.01
03
16.6
67-1
1.49
83.
978
0.04
Abov
egro
und
carn
ivor
e di
vers
ityM
1a
* so
wnd
iv/(
b +
sow
ndiv
)9.
010
316
.667
-11.
498
3.97
80.
04
Abov
egro
und
carn
ivor
e di
vers
ityLG
2SS
logi
s(so
wnd
iv, A
sym
, xm
id, s
cal)
9.96
94
12.5
00-1
1.05
04.
426
0.03
Abov
egro
und
carn
ivor
e di
vers
ityPa
2a
+ b
* so
wnd
iv7.
027
316
.667
-7.5
337.
943
0.01
Abov
egro
und
carn
ivor
e di
vers
ityAS
3SS
asym
pOrig
(sow
ndiv
, Asy
m, l
rc)
6.27
43
16.6
67-6
.027
9.44
90.
00
Abov
egro
und
carn
ivor
e di
vers
ityL0
bloc
k +
(sow
ndiv
+ fu
ncgr
+ g
rass
+ le
g)^2
23.5
2915
3.33
3-2
.941
12.5
350.
00
Abov
egro
und
carn
ivor
e di
vers
ityE2
a +
b *
exp(
sow
ndiv
)2.
305
316
.667
1.91
117
.387
0.00
Abov
egro
und
carn
ivor
e di
vers
ityPa
5so
wnd
iv^c
-29.
955
225
.000
64.1
6579
.641
0.00
Abov
egro
und
carn
ivor
e di
vers
ityE5
b *
exp(
sow
ndiv
)-4
2.53
42
25.0
0089
.324
104.
800
0.00
Abov
egro
und
carn
ivor
e di
vers
ityE4
a +
exp(
sow
ndiv
)-3
007.
804
225
.000
6019
.863
6035
.339
0.00
Abo
vegr
ound
om
nivo
re d
iver
sity
L2so
wnd
iv +
func
gr +
leg
13.1
325
10.0
00-1
4.90
10.
000
0.77
Abov
egro
und
omni
vore
div
ersi
tyL0
bloc
k +
(sow
ndiv
+ fu
ncgr
+ g
rass
+ le
g)^2
27.3
3615
3.33
3-1
0.55
54.
346
0.09
Abov
egro
und
omni
vore
div
ersi
tyPa
4b
* so
wnd
iv^c
7.05
23
16.6
67-7
.582
7.31
80.
02
Supplementary Table 2 (continued)
SUPPLEMENTARY INFORMATIONRESEARCHdoi:10.1038/nature09492
WWW NATURE.COM/NATURE | 64
Long
var
iabl
e na
me
mod
el n
ame
mod
el fo
rmul
aLL
KN
2KA
ICc
delt
AIC
cw
_ic
Abov
egro
und
omni
vore
div
ersi
tyPa
3a
+ so
wnd
iv^c
7.03
13
16.6
67-7
.540
7.36
10.
02
Abov
egro
und
omni
vore
div
ersi
tyPa
2a
+ b
* so
wnd
iv6.
959
316
.667
-7.3
977.
504
0.02
Abov
egro
und
omni
vore
div
ersi
tyM
1a
* so
wnd
iv/(
b +
sow
ndiv
)6.
461
316
.667
-6.4
018.
500
0.01
Abov
egro
und
omni
vore
div
ersi
tyM
1aSS
mic
men
(sow
ndiv
, Vm
, k)
6.46
13
16.6
67-6
.401
8.50
00.
01
Abov
egro
und
omni
vore
div
ersi
tyE2
a +
b *
exp(
sow
ndiv
)6.
437
316
.667
-6.3
528.
548
0.01
Abov
egro
und
omni
vore
div
ersi
tyAS
3SS
asym
pOrig
(sow
ndiv
, Asy
m, l
rc)
6.22
23
16.6
67-5
.923
8.97
80.
01
Abov
egro
und
omni
vore
div
ersi
tyLG
2SS
logi
s(so
wnd
iv, A
sym
, xm
id, s
cal)
7.39
34
12.5
00-5
.897
9.00
40.
01
Abov
egro
und
omni
vore
div
ersi
tyA
S2SS
asym
pOff
(sow
ndiv
, Asy
m, l
rc, c
0)7.
361
412
.500
-5.8
339.
067
0.01
Abov
egro
und
omni
vore
div
ersi
tyAS
1SS
asym
p(so
wnd
iv, A
sym
, R0,
lrc)
7.36
14
12.5
00-5
.833
9.06
70.
01
Abov
egro
und
omni
vore
div
ersi
tyM
2d
+ a
* so
wnd
iv/(
b +
sow
ndiv
)7.
300
412
.500
-5.7
119.
189
0.01
Abov
egro
und
omni
vore
div
ersi
tyPa
1a
+ b
* so
wnd
iv^c
7.15
84
12.5
00-5
.427
9.47
40.
01
Abov
egro
und
omni
vore
div
ersi
tyPa
5so
wnd
iv^c
-26.
421
225
.000
57.0
9871
.999
0.00
Abov
egro
und
omni
vore
div
ersi
tyE5
b *
exp(
sow
ndiv
)-3
5.18
12
25.0
0074
.616
89.5
170.
00
Abov
egro
und
omni
vore
div
ersi
tyE4
a +
exp(
sow
ndiv
)-3
007.
804
225
.000
6019
.863
6034
.763
0.00
Abo
vegr
ound
par
asito
id d
iver
sity
L2so
wnd
iv +
func
gr +
leg
23.3
145
10.0
00-3
5.26
30.
000
0.89
Abov
egro
und
para
sito
id d
iver
sity
Pa2
a +
b *
sow
ndiv
17.4
393
16.6
67-2
8.35
66.
907
0.03
Abov
egro
und
para
sito
id d
iver
sity
Pa1
a +
b *
sow
ndiv
^c17
.859
412
.500
-26.
829
8.43
50.
01
Abov
egro
und
para
sito
id d
iver
sity
M2
d +
a *
sow
ndiv
/(b
+ so
wnd
iv)
17.7
394
12.5
00-2
6.59
08.
674
0.01
Abov
egro
und
para
sito
id d
iver
sity
AS1
SSas
ymp(
sow
ndiv
, Asy
m, R
0, lr
c)17
.732
412
.500
-26.
574
8.68
90.
01
Abov
egro
und
para
sito
id d
iver
sity
AS2
SSas
ympO
ff(s
ownd
iv, A
sym
, lrc
, c0)
17.7
324
12.5
00-2
6.57
48.
689
0.01
Abov
egro
und
para
sito
id d
iver
sity
Pa4
b *
sow
ndiv
^c16
.517
316
.667
-26.
512
8.75
10.
01
Abov
egro
und
para
sito
id d
iver
sity
LG2
SSlo
gis(
sow
ndiv
, Asy
m, x
mid
, sca
l)17
.675
412
.500
-26.
461
8.80
20.
01
Abov
egro
und
para
sito
id d
iver
sity
Pa3
a +
sow
ndiv
^c15
.857
316
.667
-25.
192
10.0
710.
01
Abov
egro
und
para
sito
id d
iver
sity
E2a
+ b
* ex
p(so
wnd
iv)
13.8
893
16.6
67-2
1.25
614
.008
0.00
Abov
egro
und
para
sito
id d
iver
sity
L0bl
ock
+ (s
ownd
iv +
func
gr +
gra
ss +
leg)
^231
.429
153.
333
-18.
740
16.5
230.
00
Abov
egro
und
para
sito
id d
iver
sity
M1a
SSm
icm
en(s
ownd
iv, V
m, k
)11
.677
316
.667
-16.
832
18.4
310.
00
Abov
egro
und
para
sito
id d
iver
sity
M1
a *
sow
ndiv
/(b
+ so
wnd
iv)
11.6
773
16.6
67-1
6.83
218
.431
0.00
Abov
egro
und
para
sito
id d
iver
sity
AS3
SSas
ympO
rig(s
ownd
iv, A
sym
, lrc
)9.
146
316
.667
-11.
770
23.4
930.
00
Abov
egro
und
para
sito
id d
iver
sity
Pa5
sow
ndiv
^c-3
0.27
42
25.0
0064
.804
100.
068
0.00
Abov
egro
und
para
sito
id d
iver
sity
E5b
* ex
p(so
wnd
iv)
-34.
364
225
.000
72.9
8310
8.24
70.
00
Abov
egro
und
para
sito
id d
iver
sity
E4a
+ ex
p(so
wnd
iv)
-300
7.80
42
25.0
0060
19.8
6360
55.1
260.
00
Polli
nato
r di
vers
ityL2
sow
ndiv
+ fu
ncgr
+ le
g11
.991
510
.000
-12.
617
0.00
00.
37
Polli
nato
r di
vers
ityL0
bloc
k +
(sow
ndiv
+ fu
ncgr
+ g
rass
+ le
g)^2
27.7
8815
3.33
3-1
1.45
81.
159
0.20
Supplementary Table 2 (continued)
SUPPLEMENTARY INFORMATIONRESEARCHdoi:10.1038/nature09492
WWW NATURE.COM/NATURE | 65
Long
var
iabl
e na
me
mod
el n
ame
mod
el fo
rmul
aLL
KN
2KA
ICc
delt
AIC
cw
_ic
Polli
nato
r di
vers
ityPa
3a
+ so
wnd
iv^c
8.07
33
16.6
67-9
.625
2.99
20.
08
Polli
nato
r di
vers
ityM
1aSS
mic
men
(sow
ndiv
, Vm
, k)
7.85
93
16.6
67-9
.197
3.42
10.
07
Polli
nato
r di
vers
ityM
1a
* so
wnd
iv/(
b +
sow
ndiv
)7.
859
316
.667
-9.1
973.
421
0.07
Polli
nato
r di
vers
ityPa
4b
* so
wnd
iv^c
7.69
03
16.6
67-8
.859
3.75
80.
06
Polli
nato
r di
vers
ityM
2d
+ a
* so
wnd
iv/(
b +
sow
ndiv
)8.
443
412
.500
-7.9
974.
621
0.04
Polli
nato
r di
vers
ityAS
1SS
asym
p(so
wnd
iv, A
sym
, R0,
lrc)
8.44
04
12.5
00-7
.992
4.62
60.
04
Polli
nato
r di
vers
ityA
S2SS
asym
pOff
(sow
ndiv
, Asy
m, l
rc, c
0)8.
440
412
.500
-7.9
924.
626
0.04
Polli
nato
r di
vers
ityLG
2SS
logi
s(so
wnd
iv, A
sym
, xm
id, s
cal)
8.34
44
12.5
00-7
.798
4.81
90.
03
Polli
nato
r di
vers
ityA
S3SS
asym
pOrig
(sow
ndiv
, Asy
m, l
rc)
6.48
53
16.6
67-6
.449
6.16
80.
02
Polli
nato
r di
vers
ityPa
2a
+ b
* so
wnd
iv3.
711
316
.667
-0.9
0011
.718
0.00
Polli
nato
r di
vers
ityE2
a +
b *
exp(
sow
ndiv
)0.
265
316
.667
5.99
218
.609
0.00
Polli
nato
r di
vers
ityE5
b *
exp(
sow
ndiv
)-3
3.14
42
25.0
0070
.544
83.1
610.
00
Polli
nato
r di
vers
ityPa
5so
wnd
iv^c
-36.
253
225
.000
76.7
6189
.378
0.00
Polli
nato
r di
vers
ityE4
a +
exp(
sow
ndiv
)-3
007.
804
225
.000
6019
.863
6032
.480
0.00
Plan
t inv
ader
div
ersi
tyEb
1511
a +
exp(
c *
sow
ndiv
)42
.190
613
.667
-71.
260
0.00
00.
19
Plan
t inv
ader
div
ersi
tyPm
1321
a +
sow
ndiv
^c42
.108
613
.667
-71.
096
0.16
40.
18
Plan
t inv
ader
div
ersi
tyPm
1221
a +
b *
sow
ndiv
41.7
976
13.6
67-7
0.47
50.
785
0.13
Plan
t inv
ader
div
ersi
tyPr
3321
a +
sow
ndiv
^c44
.003
810
.250
-70.
033
1.22
60.
11
Plan
t inv
ader
div
ersi
tyEf
3911
a +
exp(
c *
sow
ndiv
)43
.404
810
.250
-68.
836
2.42
40.
06
Plan
t inv
ader
div
ersi
tyPr
3221
a +
b *
sow
ndiv
43.1
728
10.2
50-6
8.37
12.
888
0.05
Plan
t inv
ader
div
ersi
tyPq
2821
a +
sow
ndiv
^c42
.912
810
.250
-67.
852
3.40
70.
04
Plan
t inv
ader
div
ersi
tyPq
2721
a +
b *
sow
ndiv
42.8
628
10.2
50-6
7.75
23.
508
0.03
Plan
t inv
ader
div
ersi
tyPq
2921
b *
sow
ndiv
^c42
.607
810
.250
-67.
241
4.01
90.
03
Plan
t inv
ader
div
ersi
tyPm
1421
b *
sow
ndiv
^c40
.154
613
.667
-67.
188
4.07
20.
03
Plan
t inv
ader
div
ersi
tyPs
3921
b *
sow
ndiv
^c44
.981
108.
200
-66.
864
4.39
60.
02
Plan
t inv
ader
div
ersi
tyPs
3621
a +
b *
sow
ndiv
^c50
.295
145.
857
-66.
322
4.93
80.
02
Plan
t inv
ader
div
ersi
tyEb
1521
a +
exp(
c *
sow
ndiv
)39
.694
613
.667
-66.
268
4.99
20.
02
Plan
t inv
ader
div
ersi
tyPr
3421
b *
sow
ndiv
^c42
.008
810
.250
-66.
043
5.21
60.
01
Plan
t inv
ader
div
ersi
tyM
1521
d +
a *
sow
ndiv
/(b
+ so
wnd
iv)
45.8
4811
7.45
5-6
5.92
55.
335
0.01
Plan
t inv
ader
div
ersi
tyPm
1331
a +
sow
ndiv
^c39
.374
613
.667
-65.
628
5.63
20.
01
Plan
t inv
ader
div
ersi
tyPm
1231
a +
b *
sow
ndiv
39.3
566
13.6
67-6
5.59
25.
668
0.01
Plan
t inv
ader
div
ersi
tyPs
3721
a +
b *
sow
ndiv
43.7
2710
8.20
0-6
4.35
56.
905
0.01
Plan
t inv
ader
div
ersi
tyL0
21bl
ock
+ (s
ownd
iv +
func
gr +
gra
ss +
leg)
^252
.320
165.
125
-64.
270
6.98
90.
01
Supplementary Table 2 (continued)
SUPPLEMENTARY INFORMATIONRESEARCHdoi:10.1038/nature09492
WWW NATURE.COM/NATURE | 66
Long
var
iabl
e na
me
mod
el n
ame
mod
el fo
rmul
aLL
KN
2KA
ICc
delt
AIC
cw
_ic
Plan
t inv
ader
div
ersi
tyPp
2121
a +
b *
sow
ndiv
^c45
.014
117.
455
-64.
257
7.00
20.
01
Plan
t inv
ader
div
ersi
tyPm
1131
a +
b *
sow
ndiv
^c41
.113
810
.250
-64.
254
7.00
50.
01
Plan
t inv
ader
div
ersi
tyM
1132
d +
a *
sow
ndiv
/(b
+ so
wnd
iv)
41.0
258
10.2
50-6
4.07
77.
182
0.01
Plan
t inv
ader
div
ersi
tyPr
3331
a +
sow
ndiv
^c40
.833
810
.250
-63.
693
7.56
70.
00
Plan
t inv
ader
div
ersi
tyPp
2421
b *
sow
ndiv
^c40
.805
810
.250
-63.
638
7.62
20.
00
Plan
t inv
ader
div
ersi
tyEf
3921
a +
exp(
c *
sow
ndiv
)40
.653
810
.250
-63.
334
7.92
60.
00
Plan
t inv
ader
div
ersi
tyPr
3231
a +
b *
sow
ndiv
40.4
368
10.2
50-6
2.90
08.
360
0.00
Plan
t inv
ader
div
ersi
tyPq
2731
a +
b *
sow
ndiv
40.4
108
10.2
50-6
2.84
88.
412
0.00
Plan
t inv
ader
div
ersi
tyPq
2831
a +
sow
ndiv
^c40
.274
810
.250
-62.
576
8.68
30.
00
Plan
t inv
ader
div
ersi
tyPq
2931
b *
sow
ndiv
^c40
.026
810
.250
-62.
080
9.18
00.
00
Plan
t inv
ader
div
ersi
tyPs
3821
a +
sow
ndiv
^c42
.527
108.
200
-61.
955
9.30
40.
00
Plan
t inv
ader
div
ersi
tyPs
3931
b *
sow
ndiv
^c41
.813
108.
200
-60.
528
10.7
320.
00
Plan
t inv
ader
div
ersi
tyPp
2321
a +
sow
ndiv
^c39
.062
810
.250
-60.
152
11.1
070.
00
Plan
t inv
ader
div
ersi
tyPm
1431
b *
sow
ndiv
^c36
.628
613
.667
-60.
137
11.1
230.
00
Plan
t inv
ader
div
ersi
tyPp
2221
a +
b *
sow
ndiv
38.7
948
10.2
50-5
9.61
511
.645
0.00
Plan
t inv
ader
div
ersi
tyM
1532
d +
a *
sow
ndiv
/(b
+ so
wnd
iv)
42.5
1211
7.45
5-5
9.25
212
.007
0.00
Plan
t inv
ader
div
ersi
tyPs
3731
a +
b *
sow
ndiv
41.0
4710
8.20
0-5
8.99
512
.265
0.00
Plan
t inv
ader
div
ersi
tyPs
3831
a +
sow
ndiv
^c41
.027
108.
200
-58.
955
12.3
040.
00
Plan
t inv
ader
div
ersi
tyPr
3431
b *
sow
ndiv
^c38
.217
810
.250
-58.
461
12.7
990.
00
Plan
t inv
ader
div
ersi
tyL0
2bl
ock
+ (s
ownd
iv +
func
gr +
gra
ss +
leg)
^249
.350
165.
125
-58.
330
12.9
300.
00
Plan
t inv
ader
div
ersi
tyPn
1821
a +
sow
ndiv
^c35
.507
613
.667
-57.
893
13.3
660.
00
Plan
t inv
ader
div
ersi
tyM
1432
d +
a *
sow
ndiv
/(b
+ so
wnd
iv)
41.5
8411
7.45
5-5
7.39
713
.863
0.00
Plan
t inv
ader
div
ersi
tyPp
2431
b *
sow
ndiv
^c37
.352
810
.250
-56.
731
14.5
280.
00
Plan
t inv
ader
div
ersi
tyPc
321
a +
sow
ndiv
^c32
.510
420
.500
-56.
500
14.7
590.
00
Plan
t inv
ader
div
ersi
tyM
1321
d +
a *
sow
ndiv
/(b
+ so
wnd
iv)
39.9
9711
7.45
5-5
4.22
217
.037
0.00
Plan
t inv
ader
div
ersi
tyM
711
a *
sow
ndiv
/(b
+ so
wnd
iv)
36.0
738
10.2
50-5
4.17
417
.086
0.00
Plan
t inv
ader
div
ersi
tyL0
11bl
ock
+ (s
ownd
iv +
func
gr +
gra
ss +
leg)
^247
.231
165.
125
-54.
092
17.1
680.
00
Plan
t inv
ader
div
ersi
tyM
211
d +
a *
sow
ndiv
/(b
+ so
wnd
iv)
32.3
945
16.4
00-5
3.99
817
.261
0.00
Plan
t inv
ader
div
ersi
tyPn
1831
a +
sow
ndiv
^c33
.497
613
.667
-53.
875
17.3
850.
00
Plan
t inv
ader
div
ersi
tyPn
1921
b *
sow
ndiv
^c33
.483
613
.667
-53.
845
17.4
140.
00
Plan
t inv
ader
div
ersi
tyPp
2231
a +
b *
sow
ndiv
35.8
958
10.2
50-5
3.81
717
.443
0.00
Plan
t inv
ader
div
ersi
tyPp
2331
a +
sow
ndiv
^c35
.757
810
.250
-53.
541
17.7
190.
00
Plan
t inv
ader
div
ersi
tyPe
821
a +
sow
ndiv
^c33
.070
613
.667
-53.
020
18.2
400.
00
Supplementary Table 2 (continued)
SUPPLEMENTARY INFORMATIONRESEARCHdoi:10.1038/nature09492
WWW NATURE.COM/NATURE | 67
Long
var
iabl
e na
me
mod
el n
ame
mod
el fo
rmul
aLL
KN
2KA
ICc
delt
AIC
cw
_ic
Plan
t inv
ader
div
ersi
tyPc
331
a +
sow
ndiv
^c30
.552
420
.500
-52.
585
18.6
750.
00
Plan
t inv
ader
div
ersi
tyPf
131
a +
sow
ndiv
^c31
.353
516
.400
-51.
916
19.3
440.
00
Plan
t inv
ader
div
ersi
tyPe
721
a +
b *
sow
ndiv
32.4
416
13.6
67-5
1.76
219
.498
0.00
Plan
t inv
ader
div
ersi
tyPc
421
b *
sow
ndiv
^c30
.120
420
.500
-51.
720
19.5
400.
00
Plan
t inv
ader
div
ersi
tyPf
121
a +
b *
sow
ndiv
31.1
675
16.4
00-5
1.54
419
.716
0.00
Plan
t inv
ader
div
ersi
tyPe
921
b *
sow
ndiv
^c32
.278
613
.667
-51.
435
19.8
250.
00
Plan
t inv
ader
div
ersi
tyM
222
d +
a *
sow
ndiv
/(b
+ so
wnd
iv)
30.8
415
16.4
00-5
0.89
320
.367
0.00
Plan
t inv
ader
div
ersi
tyM
1332
d +
a *
sow
ndiv
/(b
+ so
wnd
iv)
38.2
5411
7.45
5-5
0.73
720
.523
0.00
Plan
t inv
ader
div
ersi
tyPf
141
b *
sow
ndiv
^c30
.666
516
.400
-50.
543
20.7
160.
00
Plan
t inv
ader
div
ersi
tyL2
2so
wnd
iv +
func
gr +
leg
31.6
226
13.6
67-5
0.12
421
.136
0.00
Plan
t inv
ader
div
ersi
tyM
921
a *
sow
ndiv
/(b
+ so
wnd
iv)
36.5
5610
8.20
0-5
0.01
321
.246
0.00
Plan
t inv
ader
div
ersi
tyM
111
d +
a *
sow
ndiv
/(b
+ so
wnd
iv)
32.7
587
11.7
14-5
0.00
221
.257
0.00
Plan
t inv
ader
div
ersi
tyPf
111
a +
b *
sow
ndiv
^c32
.754
711
.714
-49.
994
21.2
660.
00
Plan
t inv
ader
div
ersi
tyPj
331
a +
sow
ndiv
^c32
.596
711
.714
-49.
677
21.5
820.
00
Plan
t inv
ader
div
ersi
tyPi
291
b *
sow
ndiv
^c32
.433
711
.714
-49.
352
21.9
070.
00
Plan
t inv
ader
div
ersi
tyPe
621
a +
b *
sow
ndiv
^c33
.502
810
.250
-49.
031
22.2
280.
00
Plan
t inv
ader
div
ersi
tyM
1221
d +
a *
sow
ndiv
/(b
+ so
wnd
iv)
33.3
868
10.2
50-4
8.80
022
.460
0.00
Plan
t inv
ader
div
ersi
tyPj
321
a +
b *
sow
ndiv
32.1
357
11.7
14-4
8.75
722
.503
0.00
Plan
t inv
ader
div
ersi
tyPi
281
a +
sow
ndiv
^c32
.133
711
.714
-48.
753
22.5
070.
00
Plan
t inv
ader
div
ersi
tyEc
2121
a +
exp(
c *
sow
ndiv
)30
.935
613
.667
-48.
750
22.5
100.
00
Plan
t inv
ader
div
ersi
tyPi
271
a +
b *
sow
ndiv
32.0
857
11.7
14-4
8.65
622
.604
0.00
Plan
t inv
ader
div
ersi
tyPj
341
b *
sow
ndiv
^c31
.937
711
.714
-48.
361
22.8
990.
00
Plan
t inv
ader
div
ersi
tyPe
731
a +
b *
sow
ndiv
30.7
246
13.6
67-4
8.32
822
.932
0.00
Plan
t inv
ader
div
ersi
tyM
722
a *
sow
ndiv
/(b
+ so
wnd
iv)
33.1
088
10.2
50-4
8.24
423
.015
0.00
Plan
t inv
ader
div
ersi
tyL2
1so
wnd
iv +
func
gr +
leg
30.4
456
13.6
67-4
7.77
023
.490
0.00
Plan
t inv
ader
div
ersi
tyPe
931
b *
sow
ndiv
^c30
.401
613
.667
-47.
683
23.5
770.
00
Plan
t inv
ader
div
ersi
tyM
611
a *
sow
ndiv
/(b
+ so
wnd
iv)
32.7
738
10.2
50-4
7.57
423
.686
0.00
Plan
t inv
ader
div
ersi
tyPk
391
b *
sow
ndiv
^c33
.934
99.
111
-47.
369
23.8
910.
00
Plan
t inv
ader
div
ersi
tyPe
831
a +
sow
ndiv
^c30
.055
613
.667
-46.
990
24.2
700.
00
Plan
t inv
ader
div
ersi
tyL2
11so
wnd
iv +
func
gr +
leg
29.7
536
13.6
67-4
6.38
724
.873
0.00
Plan
t inv
ader
div
ersi
tyPn
1931
b *
sow
ndiv
^c29
.519
613
.667
-45.
918
25.3
420.
00
Plan
t inv
ader
div
ersi
tyPk
381
a +
sow
ndiv
^c32
.851
99.
111
-45.
201
26.0
580.
00
Plan
t inv
ader
div
ersi
tyPe
631
a +
b *
sow
ndiv
^c31
.490
810
.250
-45.
008
26.2
520.
00
Supplementary Table 2 (continued)
SUPPLEMENTARY INFORMATIONRESEARCHdoi:10.1038/nature09492
WWW NATURE.COM/NATURE | 68
Long
var
iabl
e na
me
mod
el n
ame
mod
el fo
rmul
aLL
KN
2KA
ICc
delt
AIC
cw
_ic
Plan
t inv
ader
div
ersi
tyM
1232
d +
a *
sow
ndiv
/(b
+ so
wnd
iv)
31.4
878
10.2
50-4
5.00
126
.258
0.00
Plan
t inv
ader
div
ersi
tyPk
371
a +
b *
sow
ndiv
32.6
969
9.11
1-4
4.89
126
.368
0.00
Plan
t inv
ader
div
ersi
tyM
151
d +
a *
sow
ndiv
/(b
+ so
wnd
iv)
33.9
7910
8.20
0-4
4.86
026
.400
0.00
Plan
t inv
ader
div
ersi
tyPc
431
b *
sow
ndiv
^c26
.004
420
.500
-43.
489
27.7
700.
00
Plan
t inv
ader
div
ersi
tyM
141
d +
a *
sow
ndiv
/(b
+ so
wnd
iv)
33.0
8710
8.20
0-4
3.07
628
.184
0.00
Plan
t inv
ader
div
ersi
tyM
7a
* so
wnd
iv/(
b +
sow
ndiv
)29
.219
711
.714
-42.
925
28.3
340.
00
Plan
t inv
ader
div
ersi
tyL2
22so
wnd
iv +
func
gr +
leg
27.8
566
13.6
67-4
2.59
228
.668
0.00
Plan
t inv
ader
div
ersi
tyM
821
a *
sow
ndiv
/(b
+ so
wnd
iv)
30.0
588
10.2
50-4
2.14
329
.117
0.00
Plan
t inv
ader
div
ersi
tyPh
241
b *
sow
ndiv
^c28
.541
711
.714
-41.
569
29.6
910.
00
Plan
t inv
ader
div
ersi
tyM
511
a *
sow
ndiv
/(b
+ so
wnd
iv)
27.2
496
13.6
67-4
1.37
929
.881
0.00
Plan
t inv
ader
div
ersi
tyM
622
a *
sow
ndiv
/(b
+ so
wnd
iv)
29.6
258
10.2
50-4
1.27
729
.983
0.00
Plan
t inv
ader
div
ersi
tyM
4a
* so
wnd
iv/(
b +
sow
ndiv
)25
.145
516
.400
-39.
500
31.7
600.
00
Plan
t inv
ader
div
ersi
tyM
422
a *
sow
ndiv
/(b
+ so
wnd
iv)
26.2
546
13.6
67-3
9.38
831
.872
0.00
Plan
t inv
ader
div
ersi
tyPn
1721
a +
b *
sow
ndiv
26.0
456
13.6
67-3
8.97
132
.289
0.00
Plan
t inv
ader
div
ersi
tyPh
231
a +
sow
ndiv
^c27
.199
711
.714
-38.
884
32.3
760.
00
Plan
t inv
ader
div
ersi
tyM
91a
* so
wnd
iv/(
b +
sow
ndiv
)29
.600
99.
111
-38.
701
32.5
590.
00
Plan
t inv
ader
div
ersi
tyPh
221
a +
b *
sow
ndiv
26.7
557
11.7
14-3
7.99
633
.264
0.00
Plan
t inv
ader
div
ersi
tyPg
181
a +
sow
ndiv
^c24
.388
516
.400
-37.
987
33.2
730.
00
Plan
t inv
ader
div
ersi
tyE3
1a
+ ex
p(c
* so
wnd
iv)
23.2
174
20.5
00-3
7.91
533
.345
0.00
Plan
t inv
ader
div
ersi
tyM
161
d +
a *
sow
ndiv
/(b
+ so
wnd
iv)
34.5
0513
6.30
8-3
7.65
833
.602
0.00
Plan
t inv
ader
div
ersi
tyEa
921
a +
exp(
c *
sow
ndiv
)25
.080
613
.667
-37.
041
34.2
190.
00
Plan
t inv
ader
div
ersi
tyM
522
a *
sow
ndiv
/(b
+ so
wnd
iv)
24.7
956
13.6
67-3
6.47
034
.789
0.00
Plan
t inv
ader
div
ersi
tyPg
191
b *
sow
ndiv
^c23
.547
516
.400
-36.
304
34.9
550.
00
Plan
t inv
ader
div
ersi
tyPa
3a
+ so
wnd
iv^c
21.1
563
27.3
33-3
6.00
435
.255
0.00
Plan
t inv
ader
div
ersi
tyPb
31a
+ so
wnd
iv^c
21.1
563
27.3
33-3
6.00
435
.255
0.00
Plan
t inv
ader
div
ersi
tyPc
221
a +
b *
sow
ndiv
22.2
164
20.5
00-3
5.91
335
.347
0.00
Plan
t inv
ader
div
ersi
tyM
81a
* so
wnd
iv/(
b +
sow
ndiv
)25
.500
711
.714
-35.
487
35.7
720.
00
Plan
t inv
ader
div
ersi
tyM
832
a *
sow
ndiv
/(b
+ so
wnd
iv)
26.6
518
10.2
50-3
5.32
935
.931
0.00
Plan
t inv
ader
div
ersi
tyPn
1731
a +
b *
sow
ndiv
24.0
206
13.6
67-3
4.92
036
.340
0.00
Plan
t inv
ader
div
ersi
tyM
2d
+ a
* so
wnd
iv/(
b +
sow
ndiv
)21
.557
420
.500
-34.
594
36.6
660.
00
Plan
t inv
ader
div
ersi
tyL0
bloc
k +
(sow
ndiv
+ fu
ncgr
+ g
rass
+ le
g)^2
35.9
3115
5.46
7-3
4.58
936
.671
0.00
Plan
t inv
ader
div
ersi
tyPa
4b
* so
wnd
iv^c
20.3
043
27.3
33-3
4.30
036
.960
0.00
Plan
t inv
ader
div
ersi
tyPb
41b
* so
wnd
iv^c
20.3
043
27.3
33-3
4.30
036
.960
0.00
Supplementary Table 2 (continued)
SUPPLEMENTARY INFORMATIONRESEARCHdoi:10.1038/nature09492
WWW NATURE.COM/NATURE | 69
Long
var
iabl
e na
me
mod
el n
ame
mod
el fo
rmul
aLL
KN
2KA
ICc
delt
AIC
cw
_ic
Plan
t inv
ader
div
ersi
tyM
131
d +
a *
sow
ndiv
/(b
+ so
wnd
iv)
28.6
7910
8.20
0-3
4.26
036
.999
0.00
Plan
t inv
ader
div
ersi
tyM
6a
* so
wnd
iv/(
b +
sow
ndiv
)24
.859
711
.714
-34.
205
37.0
540.
00
Plan
t inv
ader
div
ersi
tyE3
2a
+ ex
p(c
* so
wnd
iv)
21.2
014
20.5
00-3
3.88
237
.378
0.00
Plan
t inv
ader
div
ersi
tyA
S1SS
asym
p(so
wnd
iv, A
sym
, R0,
lrc)
21.1
714
20.5
00-3
3.82
337
.437
0.00
Plan
t inv
ader
div
ersi
tyPr
3521
sow
ndiv
^c22
.137
516
.400
-33.
484
37.7
760.
00
Plan
t inv
ader
div
ersi
tyPd
81a
+ so
wnd
iv^c
21.6
845
16.4
00-3
2.57
938
.681
0.00
Plan
t inv
ader
div
ersi
tyBI
EXP
SSbi
exp(
sow
ndiv
, A1,
lrc1
, A2,
lrc2
)21
.683
516
.400
-32.
577
38.6
820.
00
Plan
t inv
ader
div
ersi
tyPp
2521
sow
ndiv
^c21
.663
516
.400
-32.
536
38.7
240.
00
Plan
t inv
ader
div
ersi
tyPd
91b
* so
wnd
iv^c
21.6
305
16.4
00-3
2.47
138
.788
0.00
Plan
t inv
ader
div
ersi
tyPm
1521
sow
ndiv
^c20
.270
420
.500
-32.
020
39.2
390.
00
Plan
t inv
ader
div
ersi
tyPs
4021
sow
ndiv
^c22
.558
613
.667
-31.
995
39.2
640.
00
Plan
t inv
ader
div
ersi
tyPd
71a
+ b
* so
wnd
iv21
.336
516
.400
-31.
883
39.3
770.
00
Plan
t inv
ader
div
ersi
tyL2
sow
ndiv
+ fu
ncgr
+ le
g21
.275
516
.400
-31.
760
39.4
990.
00
Plan
t inv
ader
div
ersi
tyPc
231
a +
b *
sow
ndiv
20.1
074
20.5
00-3
1.69
439
.565
0.00
Plan
t inv
ader
div
ersi
tyPq
3021
sow
ndiv
^c20
.801
516
.400
-30.
813
40.4
470.
00
Plan
t inv
ader
div
ersi
tyM
121
d +
a *
sow
ndiv
/(b
+ so
wnd
iv)
22.1
437
11.7
14-2
8.77
242
.487
0.00
Plan
t inv
ader
div
ersi
tyPd
61a
+ b
* so
wnd
iv^c
22.0
407
11.7
14-2
8.56
742
.692
0.00
Plan
t inv
ader
div
ersi
tyPn
2021
sow
ndiv
^c17
.174
420
.500
-25.
829
45.4
310.
00
Plan
t inv
ader
div
ersi
tyPc
521
sow
ndiv
^c15
.825
327
.333
-25.
342
45.9
180.
00
Plan
t inv
ader
div
ersi
tyEf
4211
exp(
c *
sow
ndiv
)17
.786
516
.400
-24.
783
46.4
770.
00
Plan
t inv
ader
div
ersi
tyE2
1a
+ b
* ex
p(so
wnd
iv)
16.3
534
20.5
00-2
4.18
747
.073
0.00
Plan
t inv
ader
div
ersi
tyPe
1021
sow
ndiv
^c16
.103
420
.500
-23.
687
47.5
720.
00
Plan
t inv
ader
div
ersi
tyEf
4221
exp(
c *
sow
ndiv
)16
.998
516
.400
-23.
207
48.0
530.
00
Plan
t inv
ader
div
ersi
tyM
311
a *
sow
ndiv
/(b
+ so
wnd
iv)
17.3
256
13.6
67-2
1.53
149
.729
0.00
Plan
t inv
ader
div
ersi
tyEa
1221
exp(
c *
sow
ndiv
)15
.011
420
.500
-21.
502
49.7
580.
00
Plan
t inv
ader
div
ersi
tyPg
171
a +
b *
sow
ndiv
15.8
655
16.4
00-2
0.94
150
.318
0.00
Plan
t inv
ader
div
ersi
tyEa
121
exp(
c *
sow
ndiv
)14
.628
420
.500
-20.
736
50.5
230.
00
Plan
t inv
ader
div
ersi
tyM
1aSS
mic
men
(sow
ndiv
, Vm
, k)
13.1
223
27.3
33-1
9.93
651
.324
0.00
Plan
t inv
ader
div
ersi
tyM
1a
* so
wnd
iv/(
b +
sow
ndiv
)13
.122
327
.333
-19.
936
51.3
240.
00
Plan
t inv
ader
div
ersi
tyEd
3021
exp(
c *
sow
ndiv
)15
.314
516
.400
-19.
839
51.4
210.
00
Plan
t inv
ader
div
ersi
tyE2
2a
+ b
* ex
p(so
wnd
iv)
13.9
864
20.5
00-1
9.45
351
.806
0.00
Plan
t inv
ader
div
ersi
tyPa
2a
+ b
* so
wnd
iv12
.881
327
.333
-19.
453
51.8
060.
00
Plan
t inv
ader
div
ersi
tyPb
21a
+ b
* so
wnd
iv12
.881
327
.333
-19.
453
51.8
060.
00
Supplementary Table 2 (continued)
SUPPLEMENTARY INFORMATIONRESEARCHdoi:10.1038/nature09492
WWW NATURE.COM/NATURE | 70
Long
var
iabl
e na
me
mod
el n
ame
mod
el fo
rmul
aLL
KN
2KA
ICc
delt
AIC
cw
_ic
Plan
t inv
ader
div
ersi
tyM
3a
* so
wnd
iv/(
b +
sow
ndiv
)14
.237
516
.400
-17.
685
53.5
750.
00
Plan
t inv
ader
div
ersi
tyEb
1811
exp(
c *
sow
ndiv
)12
.401
420
.500
-16.
283
54.9
760.
00
Plan
t inv
ader
div
ersi
tyM
321
a *
sow
ndiv
/(b
+ so
wnd
iv)
14.3
356
13.6
67-1
5.54
955
.711
0.00
Plan
t inv
ader
div
ersi
tyEa
12ex
p(c
* so
wnd
iv)
9.94
13
27.3
33-1
3.57
357
.686
0.00
Plan
t inv
ader
div
ersi
tyEb
1821
exp(
c *
sow
ndiv
)10
.935
420
.500
-13.
351
57.9
090.
00
Plan
t inv
ader
div
ersi
tyEc
2421
exp(
c *
sow
ndiv
)9.
886
420
.500
-11.
252
60.0
080.
00
Plan
t inv
ader
div
ersi
tyE6
1ex
p(c
* so
wnd
iv)
8.67
53
27.3
33-1
1.04
260
.218
0.00
Plan
t inv
ader
div
ersi
tyEc
2411
exp(
c *
sow
ndiv
)9.
415
420
.500
-10.
311
60.9
490.
00
Plan
t inv
ader
div
ersi
tyE6
2ex
p(c
* so
wnd
iv)
7.98
43
27.3
33-9
.661
61.5
980.
00
Plan
t inv
ader
div
ersi
tyE2
a +
b *
exp(
sow
ndiv
)6.
446
327
.333
-6.5
8464
.676
0.00
Plan
t inv
ader
div
ersi
tyEb
18ex
p(c
* so
wnd
iv)
5.87
33
27.3
33-5
.439
65.8
200.
00
Plan
t inv
ader
div
ersi
tyEc
24ex
p(c
* so
wnd
iv)
4.71
93
27.3
33-3
.131
68.1
290.
00
Plan
t inv
ader
div
ersi
tyPr
3531
sow
ndiv
^c5.
287
516
.400
0.21
571
.474
0.00
Plan
t inv
ader
div
ersi
tyPm
1531
sow
ndiv
^c3.
927
420
.500
0.66
671
.926
0.00
Plan
t inv
ader
div
ersi
tyPp
2531
sow
ndiv
^c4.
725
516
.400
1.34
072
.599
0.00
Plan
t inv
ader
div
ersi
tyPq
3031
sow
ndiv
^c4.
610
516
.400
1.56
972
.829
0.00
Plan
t inv
ader
div
ersi
tyPs
4031
sow
ndiv
^c5.
329
613
.667
2.46
273
.722
0.00
Plan
t inv
ader
div
ersi
tyPc
531
sow
ndiv
^c1.
714
327
.333
2.88
074
.139
0.00
Plan
t inv
ader
div
ersi
tyPn
2031
sow
ndiv
^c2.
426
420
.500
3.66
774
.927
0.00
Plan
t inv
ader
div
ersi
tyPe
1031
sow
ndiv
^c1.
832
420
.500
4.85
576
.115
0.00
Plan
t inv
ader
div
ersi
tyPj
351
sow
ndiv
^c-1
1.07
94
20.5
0030
.677
101.
937
0.00
Plan
t inv
ader
div
ersi
tyPf
151
sow
ndiv
^c-1
2.32
93
27.3
3330
.967
102.
226
0.00
Plan
t inv
ader
div
ersi
tyPi
301
sow
ndiv
^c-1
1.61
24
20.5
0031
.743
103.
003
0.00
Plan
t inv
ader
div
ersi
tyPg
201
sow
ndiv
^c-1
2.82
13
27.3
3331
.949
103.
209
0.00
Plan
t inv
ader
div
ersi
tyPh
251
sow
ndiv
^c-1
1.81
74
20.5
0032
.153
103.
412
0.00
Plan
t inv
ader
div
ersi
tyPk
401
sow
ndiv
^c-1
1.07
95
16.4
0032
.947
104.
207
0.00
Plan
t inv
ader
div
ersi
tyPa
5so
wnd
iv^c
-14.
534
241
.000
33.2
1910
4.47
90.
00
Plan
t inv
ader
div
ersi
tyPb
51so
wnd
iv^c
-14.
534
241
.000
33.2
1910
4.47
90.
00
Plan
t inv
ader
div
ersi
tyPd
101
sow
ndiv
^c-1
4.53
03
27.3
3335
.367
106.
626
0.00
Plan
t inv
ader
div
ersi
tyM
932
a *
sow
ndiv
/(b
+ so
wnd
iv)
-20.
171
108.
200
63.4
4013
4.70
00.
00
Plan
t inv
ader
div
ersi
tyE5
2b
* ex
p(so
wnd
iv)
-29.
160
327
.333
64.6
2813
5.88
80.
00
Plan
t inv
ader
div
ersi
tyM
5a
* so
wnd
iv/(
b +
sow
ndiv
)-3
8.46
45
16.4
0087
.718
158.
978
0.00
Plan
t inv
ader
div
ersi
tyE5
b *
exp(
sow
ndiv
)-4
4.28
92
41.0
0092
.730
163.
990
0.00
Supplementary Table 2 (continued)
SUPPLEMENTARY INFORMATIONRESEARCHdoi:10.1038/nature09492
WWW NATURE.COM/NATURE | 71
Long
var
iabl
e na
me
mod
el n
ame
mod
el fo
rmul
aLL
KN
2KA
ICc
delt
AIC
cw
_ic
Plan
t inv
ader
div
ersi
tyEc
2221
a +
exp(
sow
ndiv
)-7
94.6
694
20.5
0015
97.8
5816
69.1
180.
00
Plan
t inv
ader
div
ersi
tyEe
342
a +
exp(
sow
ndiv
)-7
94.6
395
16.4
0016
00.0
6816
71.3
280.
00
Plan
t inv
ader
div
ersi
tyEd
2821
a +
exp(
sow
ndiv
)-7
94.6
635
16.4
0016
00.1
1616
71.3
750.
00
Plan
t inv
ader
div
ersi
tyEg
4621
a +
exp(
sow
ndiv
)-7
94.6
396
13.6
6716
02.3
9816
73.6
580.
00
Plan
t inv
ader
div
ersi
tyE4
2a
+ ex
p(so
wnd
iv)
-801
.469
327
.333
1609
.245
1680
.505
0.00
Plan
t inv
ader
div
ersi
tyEb
1621
a +
exp(
sow
ndiv
)-8
01.2
234
20.5
0016
10.9
6616
82.2
260.
00
Plan
t inv
ader
div
ersi
tyEa
1021
a +
exp(
sow
ndiv
)-8
01.3
924
20.5
0016
11.3
0316
82.5
630.
00
Plan
t inv
ader
div
ersi
tyEf
4021
a +
exp(
sow
ndiv
)-8
00.9
855
16.4
0016
12.7
6016
84.0
190.
00
Plan
t inv
ader
div
ersi
tyE5
1b
* ex
p(so
wnd
iv)
-171
5.80
33
27.3
3334
37.9
1435
09.1
740.
00
Plan
t inv
ader
div
ersi
tyEb
1611
a +
exp(
sow
ndiv
)-1
765.
168
420
.500
3538
.856
3610
.115
0.00
Plan
t inv
ader
div
ersi
tyEf
4011
a +
exp(
sow
ndiv
)-1
765.
167
516
.400
3541
.123
3612
.383
0.00
Plan
t inv
ader
div
ersi
tyEe
341
a +
exp(
sow
ndiv
)-1
765.
168
516
.400
3541
.126
3612
.385
0.00
Plan
t inv
ader
div
ersi
tyE4
1a
+ ex
p(so
wnd
iv)
-176
8.39
03
27.3
3335
43.0
8736
14.3
470.
00
Plan
t inv
ader
div
ersi
tyEg
4611
a +
exp(
sow
ndiv
)-1
765.
167
613
.667
3543
.453
3614
.713
0.00
Plan
t inv
ader
div
ersi
tyEa
1011
a +
exp(
sow
ndiv
)-1
768.
089
420
.500
3544
.698
3615
.958
0.00
Plan
t inv
ader
div
ersi
tyEc
2211
a +
exp(
sow
ndiv
)-1
768.
390
420
.500
3545
.299
3616
.559
0.00
Plan
t inv
ader
div
ersi
tyEd
2811
a +
exp(
sow
ndiv
)-1
768.
089
516
.400
3546
.968
3618
.227
0.00
Plan
t inv
ader
div
ersi
tyEf
3721
a +
b *
exp(
c *
sow
ndiv
)-2
712.
751
117.
455
5451
.272
5522
.532
0.00
Plan
t inv
ader
div
ersi
tyE4
a +
exp(
sow
ndiv
)-4
912.
516
241
.000
9829
.183
9900
.443
0.00
Plan
t inv
ader
div
ersi
tyEa
10a
+ ex
p(so
wnd
iv)
-491
2.51
63
27.3
3398
31.3
3999
02.5
980.
00
Plan
t inv
ader
div
ersi
tyEb
16a
+ ex
p(so
wnd
iv)
-491
2.51
63
27.3
3398
31.3
3999
02.5
980.
00
Plan
t inv
ader
div
ersi
tyEc
22a
+ ex
p(so
wnd
iv)
-491
2.51
63
27.3
3398
31.3
3999
02.5
980.
00
Plan
t inv
ader
div
ersi
tyEd
28a
+ ex
p(so
wnd
iv)
-491
2.51
64
20.5
0098
33.5
5199
04.8
100.
00
Plan
t inv
ader
div
ersi
tyEe
40a
+ ex
p(so
wnd
iv)
-491
2.51
64
20.5
0098
33.5
5199
04.8
100.
00
Plan
t inv
ader
div
ersi
tyEf
40a
+ ex
p(so
wnd
iv)
-491
2.51
64
20.5
0098
33.5
5199
04.8
100.
00
Plan
t inv
ader
div
ersi
tyEg
46a
+ ex
p(so
wnd
iv)
-491
2.51
65
16.4
0098
35.8
2199
07.0
800.
00
Abov
egro
und
path
ogen
div
ersi
tyM
3a
* so
wnd
iv/(
b +
sow
ndiv
)23
.455
516
.400
-36.
120
0.00
00.
09
Abov
egro
und
path
ogen
div
ersi
tyM
311
a *
sow
ndiv
/(b
+ so
wnd
iv)
24.2
986
13.6
67-3
5.47
60.
644
0.07
Abov
egro
und
path
ogen
div
ersi
tyM
321
a *
sow
ndiv
/(b
+ so
wnd
iv)
24.0
406
13.6
67-3
4.96
01.
160
0.05
Abov
egro
und
path
ogen
div
ersi
tyPn
1821
a +
sow
ndiv
^c23
.840
613
.667
-34.
560
1.56
00.
04
Abov
egro
und
path
ogen
div
ersi
tyPg
181
a +
sow
ndiv
^c22
.670
516
.400
-34.
551
1.56
90.
04
Abov
egro
und
path
ogen
div
ersi
tyM
1a
* so
wnd
iv/(
b +
sow
ndiv
)20
.409
327
.333
-34.
509
1.61
10.
04
Abov
egro
und
path
ogen
div
ersi
tyM
1aSS
mic
men
(sow
ndiv
, Vm
, k)
20.4
093
27.3
33-3
4.50
91.
611
0.04
Supplementary Table 2 (continued)
SUPPLEMENTARY INFORMATIONRESEARCHdoi:10.1038/nature09492
WWW NATURE.COM/NATURE | 72
Long
var
iabl
e na
me
mod
el n
ame
mod
el fo
rmul
aLL
KN
2KA
ICc
delt
AIC
cw
_ic
Abov
egro
und
path
ogen
div
ersi
tyPn
1921
b *
sow
ndiv
^c23
.573
613
.667
-34.
026
2.09
40.
03
Abov
egro
und
path
ogen
div
ersi
tyPg
191
b *
sow
ndiv
^c22
.330
516
.400
-33.
871
2.24
90.
03
Abov
egro
und
path
ogen
div
ersi
tyPn
1831
a +
sow
ndiv
^c23
.494
613
.667
-33.
867
2.25
30.
03
Abov
egro
und
path
ogen
div
ersi
tyPn
1931
b *
sow
ndiv
^c23
.176
613
.667
-33.
231
2.88
90.
02
Abov
egro
und
path
ogen
div
ersi
tyPd
81a
+ so
wnd
iv^c
21.7
875
16.4
00-3
2.78
43.
336
0.02
Abov
egro
und
path
ogen
div
ersi
tyPd
91b
* so
wnd
iv^c
21.6
205
16.4
00-3
2.45
13.
669
0.02
Abov
egro
und
path
ogen
div
ersi
tyM
5a
* so
wnd
iv/(
b +
sow
ndiv
)21
.606
516
.400
-32.
423
3.69
70.
01
Abov
egro
und
path
ogen
div
ersi
tyA
S3SS
asym
pOrig
(sow
ndiv
, Asy
m, l
rc)
19.3
593
27.3
33-3
2.41
03.
710
0.01
Abov
egro
und
path
ogen
div
ersi
tyPa
3a
+ so
wnd
iv^c
19.3
363
27.3
33-3
2.36
53.
755
0.01
Abov
egro
und
path
ogen
div
ersi
tyPb
31a
+ so
wnd
iv^c
19.3
363
27.3
33-3
2.36
53.
755
0.01
Abov
egro
und
path
ogen
div
ersi
tyM
2d
+ a
* so
wnd
iv/(
b +
sow
ndiv
)20
.411
420
.500
-32.
303
3.81
70.
01
Abov
egro
und
path
ogen
div
ersi
tyPe
821
a +
sow
ndiv
^c22
.687
613
.667
-32.
255
3.86
50.
01
Abov
egro
und
path
ogen
div
ersi
tyPc
321
a +
sow
ndiv
^c20
.372
420
.500
-32.
224
3.89
60.
01
Abov
egro
und
path
ogen
div
ersi
tyM
81a
* so
wnd
iv/(
b +
sow
ndiv
)23
.843
711
.714
-32.
172
3.94
80.
01
Abov
egro
und
path
ogen
div
ersi
tyPh
231
a +
sow
ndiv
^c23
.833
711
.714
-32.
153
3.96
70.
01
Abov
egro
und
path
ogen
div
ersi
tyPe
921
b *
sow
ndiv
^c22
.539
613
.667
-31.
959
4.16
10.
01
Abov
egro
und
path
ogen
div
ersi
tyPj
331
a +
sow
ndiv
^c23
.734
711
.714
-31.
955
4.16
50.
01
Abov
egro
und
path
ogen
div
ersi
tyPe
831
a +
sow
ndiv
^c22
.536
613
.667
-31.
952
4.16
80.
01
Abov
egro
und
path
ogen
div
ersi
tyPh
241
b *
sow
ndiv
^c23
.681
711
.714
-31.
848
4.27
20.
01
Abov
egro
und
path
ogen
div
ersi
tyPc
331
a +
sow
ndiv
^c20
.160
420
.500
-31.
800
4.32
00.
01
Abov
egro
und
path
ogen
div
ersi
tyPp
2321
a +
sow
ndiv
^c24
.864
810
.250
-31.
756
4.36
40.
01
Abov
egro
und
path
ogen
div
ersi
tyPj
341
b *
sow
ndiv
^c23
.606
711
.714
-31.
698
4.42
20.
01
Abov
egro
und
path
ogen
div
ersi
tyPe
931
b *
sow
ndiv
^c22
.380
613
.667
-31.
640
4.48
00.
01
Abov
egro
und
path
ogen
div
ersi
tyPr
3321
a +
sow
ndiv
^c24
.783
810
.250
-31.
594
4.52
60.
01
Abov
egro
und
path
ogen
div
ersi
tyM
511
a *
sow
ndiv
/(b
+ so
wnd
iv)
22.3
216
13.6
67-3
1.52
24.
598
0.01
Abov
egro
und
path
ogen
div
ersi
tyPp
2421
b *
sow
ndiv
^c24
.727
810
.250
-31.
481
4.63
90.
01
Abov
egro
und
path
ogen
div
ersi
tyM
6a
* so
wnd
iv/(
b +
sow
ndiv
)23
.490
711
.714
-31.
467
4.65
30.
01
Abov
egro
und
path
ogen
div
ersi
tyPr
3421
b *
sow
ndiv
^c24
.675
810
.250
-31.
377
4.74
30.
01
Abov
egro
und
path
ogen
div
ersi
tyM
522
a *
sow
ndiv
/(b
+ so
wnd
iv)
22.1
886
13.6
67-3
1.25
54.
865
0.01
Abov
egro
und
path
ogen
div
ersi
tyM
821
a *
sow
ndiv
/(b
+ so
wnd
iv)
24.6
138
10.2
50-3
1.25
44.
866
0.01
Abov
egro
und
path
ogen
div
ersi
tyM
211
d +
a *
sow
ndiv
/(b
+ so
wnd
iv)
21.0
155
16.4
00-3
1.24
14.
879
0.01
Abov
egro
und
path
ogen
div
ersi
tyPp
2331
a +
sow
ndiv
^c24
.574
810
.250
-31.
175
4.94
50.
01
Abov
egro
und
path
ogen
div
ersi
tyPc
421
b *
sow
ndiv
^c19
.801
420
.500
-31.
082
5.03
80.
01
Supplementary Table 2 (continued)
SUPPLEMENTARY INFORMATIONRESEARCHdoi:10.1038/nature09492
WWW NATURE.COM/NATURE | 73
Long
var
iabl
e na
me
mod
el n
ame
mod
el fo
rmul
aLL
KN
2KA
ICc
delt
AIC
cw
_ic
Abov
egro
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path
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Abov
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120
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Abov
egro
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tyPb
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18.6
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05.
120
0.01
Abov
egro
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path
ogen
div
ersi
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222
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20.8
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163
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Abov
egro
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path
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div
ersi
tyPp
2431
b *
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01
Abov
egro
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Abov
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24.3
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Abov
egro
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path
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S2SS
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Abov
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19.6
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Abov
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24.3
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25.
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Abov
egro
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Abov
egro
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Abov
egro
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622
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55.
935
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Abov
egro
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721
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25.
958
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Abov
egro
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00
Abov
egro
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221
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22.6
657
11.7
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66.
304
0.00
Abov
egro
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path
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731
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21.4
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67-2
9.76
26.
359
0.00
Abov
egro
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path
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div
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2221
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23.8
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76.
403
0.00
Abov
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div
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2231
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23.4
988
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47.
096
0.00
Abov
egro
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path
ogen
div
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tyM
411
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21.0
716
13.6
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9.02
37.
097
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Abov
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path
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131
a +
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831
7.28
90.
00
Abov
egro
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path
ogen
div
ersi
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422
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20.9
406
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67-2
8.76
07.
360
0.00
Abov
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path
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div
ersi
tyPm
1321
a +
sow
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^c20
.855
613
.667
-28.
589
7.53
10.
00
Abov
egro
und
path
ogen
div
ersi
tyPi
281
a +
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.968
711
.714
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423
7.69
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00
Abov
egro
und
path
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div
ersi
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1331
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^c20
.693
613
.667
-28.
266
7.85
40.
00
Abov
egro
und
path
ogen
div
ersi
tyPr
3221
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b *
sow
ndiv
23.0
798
10.2
50-2
8.18
57.
935
0.00
Abov
egro
und
path
ogen
div
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321
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ndiv
21.8
017
11.7
14-2
8.08
88.
032
0.00
Abov
egro
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path
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div
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tyM
7a
* so
wnd
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b +
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)21
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711
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056
8.06
40.
00
Abov
egro
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path
ogen
div
ersi
tyPi
291
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sow
ndiv
^c21
.782
711
.714
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050
8.07
00.
00
Abov
egro
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path
ogen
div
ersi
tyPf
141
b *
sow
ndiv
^c19
.373
516
.400
-27.
957
8.16
30.
00
Abov
egro
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path
ogen
div
ersi
tyPk
381
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sow
ndiv
^c24
.217
99.
111
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934
8.18
60.
00
Abov
egro
und
path
ogen
div
ersi
tyPn
1721
a +
b *
sow
ndiv
20.5
186
13.6
67-2
7.91
68.
204
0.00
Abov
egro
und
path
ogen
div
ersi
tyPm
1421
b *
sow
ndiv
^c20
.495
613
.667
-27.
870
8.25
00.
00
Supplementary Table 2 (continued)
SUPPLEMENTARY INFORMATIONRESEARCHdoi:10.1038/nature09492
WWW NATURE.COM/NATURE | 74
Long
var
iabl
e na
me
mod
el n
ame
mod
el fo
rmul
aLL
KN
2KA
ICc
delt
AIC
cw
_ic
Abov
egro
und
path
ogen
div
ersi
tyPq
2821
a +
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ndiv
^c22
.887
810
.250
-27.
802
8.31
80.
00
Abov
egro
und
path
ogen
div
ersi
tyM
121
d +
a *
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ndiv
/(b
+ so
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iv)
21.6
397
11.7
14-2
7.76
48.
356
0.00
Abov
egro
und
path
ogen
div
ersi
tyPk
391
b *
sow
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^c24
.048
99.
111
-27.
596
8.52
40.
00
Abov
egro
und
path
ogen
div
ersi
tyEa
911
a +
exp(
c *
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)20
.314
613
.667
-27.
508
8.61
30.
00
Abov
egro
und
path
ogen
div
ersi
tyPq
2921
b *
sow
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^c22
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810
.250
-27.
472
8.64
80.
00
Abov
egro
und
path
ogen
div
ersi
tyPq
2831
a +
sow
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^c22
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810
.250
-27.
447
8.67
30.
00
Abov
egro
und
path
ogen
div
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1431
b *
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613
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-27.
439
8.68
10.
00
Abov
egro
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path
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3821
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108.
200
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398
8.72
20.
00
Abov
egro
und
path
ogen
div
ersi
tyPr
3231
a +
b *
sow
ndiv
22.6
628
10.2
50-2
7.35
18.
769
0.00
Abov
egro
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path
ogen
div
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tyM
91a
* so
wnd
iv/(
b +
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)23
.911
99.
111
-27.
321
8.79
90.
00
Abov
egro
und
path
ogen
div
ersi
tyPq
2931
b *
sow
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^c22
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810
.250
-27.
101
9.01
90.
00
Abov
egro
und
path
ogen
div
ersi
tyPs
3921
b *
sow
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^c25
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108.
200
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093
9.02
70.
00
Abov
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path
ogen
div
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tyM
711
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/(b
+ so
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22.5
098
10.2
50-2
7.04
59.
075
0.00
Abov
egro
und
path
ogen
div
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tyEf
3921
a +
exp(
c *
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)22
.444
810
.250
-26.
915
9.20
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00
Abov
egro
und
path
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tyPs
3831
a +
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108.
200
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812
9.30
80.
00
Abov
egro
und
path
ogen
div
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tyM
722
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22.3
538
10.2
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6.73
39.
387
0.00
Abov
egro
und
path
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div
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tyPg
171
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18.7
365
16.4
00-2
6.68
39.
438
0.00
Abov
egro
und
path
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div
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tyPs
3931
b *
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.795
108.
200
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491
9.62
90.
00
Abov
egro
und
path
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div
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tyPn
1731
a +
b *
sow
ndiv
19.7
456
13.6
67-2
6.37
09.
750
0.00
Abov
egro
und
path
ogen
div
ersi
tyM
921
a *
sow
ndiv
/(b
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24.7
1610
8.20
0-2
6.33
39.
787
0.00
Abov
egro
und
path
ogen
div
ersi
tyPi
271
a +
b *
sow
ndiv
20.7
637
11.7
14-2
6.01
310
.107
0.00
Abov
egro
und
path
ogen
div
ersi
tyEa
921
a +
exp(
c *
sow
ndiv
)19
.511
613
.667
-25.
901
10.2
190.
00
Abov
egro
und
path
ogen
div
ersi
tyM
932
a *
sow
ndiv
/(b
+ so
wnd
iv)
24.4
7710
8.20
0-2
5.85
510
.265
0.00
Abov
egro
und
path
ogen
div
ersi
tyPq
2721
a +
b *
sow
ndiv
21.8
248
10.2
50-2
5.67
410
.446
0.00
Abov
egro
und
path
ogen
div
ersi
tyPk
371
a +
b *
sow
ndiv
23.0
229
9.11
1-2
5.54
310
.577
0.00
Abov
egro
und
path
ogen
div
ersi
tyM
131
d +
a *
sow
ndiv
/(b
+ so
wnd
iv)
24.3
1210
8.20
0-2
5.52
510
.595
0.00
Abov
egro
und
path
ogen
div
ersi
tyL2
sow
ndiv
+ fu
ncgr
+ le
g18
.120
516
.400
-25.
451
10.6
690.
00
Abov
egro
und
path
ogen
div
ersi
tyM
111
d +
a *
sow
ndiv
/(b
+ so
wnd
iv)
20.4
747
11.7
14-2
5.43
510
.685
0.00
Abov
egro
und
path
ogen
div
ersi
tyPs
3721
a +
b *
sow
ndiv
24.2
0910
8.20
0-2
5.32
010
.800
0.00
Abov
egro
und
path
ogen
div
ersi
tyPq
2731
a +
b *
sow
ndiv
21.5
988
10.2
50-2
5.22
310
.897
0.00
Abov
egro
und
path
ogen
div
ersi
tyL2
11so
wnd
iv +
func
gr +
leg
19.1
406
13.6
67-2
5.15
910
.961
0.00
Abov
egro
und
path
ogen
div
ersi
tyPh
211
a +
b *
sow
ndiv
^c23
.941
108.
200
-24.
783
11.3
370.
00
Abov
egro
und
path
ogen
div
ersi
tyM
151
d +
a *
sow
ndiv
/(b
+ so
wnd
iv)
23.9
2810
8.20
0-2
4.75
711
.363
0.00
Supplementary Table 2 (continued)
SUPPLEMENTARY INFORMATIONRESEARCHdoi:10.1038/nature09492
WWW NATURE.COM/NATURE | 75
Long
var
iabl
e na
me
mod
el n
ame
mod
el fo
rmul
aLL
KN
2KA
ICc
delt
AIC
cw
_ic
Abov
egro
und
path
ogen
div
ersi
tyPs
3731
a +
b *
sow
ndiv
23.8
5710
8.20
0-2
4.61
511
.505
0.00
Abov
egro
und
path
ogen
div
ersi
tyL2
22so
wnd
iv +
func
gr +
leg
18.7
286
13.6
67-2
4.33
711
.783
0.00
Abov
egro
und
path
ogen
div
ersi
tyM
1521
d +
a *
sow
ndiv
/(b
+ so
wnd
iv)
24.7
4911
7.45
5-2
3.72
712
.393
0.00
Abov
egro
und
path
ogen
div
ersi
tyPp
2131
a +
b *
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^c24
.694
117.
455
-23.
617
12.5
030.
00
Abov
egro
und
path
ogen
div
ersi
tyL2
1so
wnd
iv +
func
gr +
leg
18.3
466
13.6
67-2
3.57
212
.548
0.00
Abov
egro
und
path
ogen
div
ersi
tyL2
2so
wnd
iv +
func
gr +
leg
18.3
286
13.6
67-2
3.53
612
.584
0.00
Abov
egro
und
path
ogen
div
ersi
tyM
1532
d +
a *
sow
ndiv
/(b
+ so
wnd
iv)
24.5
5411
7.45
5-2
3.33
612
.784
0.00
Abov
egro
und
path
ogen
div
ersi
tyM
1021
d +
a *
sow
ndiv
/(b
+ so
wnd
iv)
19.8
798
10.2
50-2
1.78
614
.334
0.00
Abov
egro
und
path
ogen
div
ersi
tyPm
1221
a +
b *
sow
ndiv
16.9
196
13.6
67-2
0.71
815
.402
0.00
Abov
egro
und
path
ogen
div
ersi
tyEb
1511
a +
exp(
c *
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)16
.569
613
.667
-20.
018
16.1
020.
00
Abov
egro
und
path
ogen
div
ersi
tyPf
121
a +
b *
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ndiv
15.3
055
16.4
00-1
9.82
016
.300
0.00
Abov
egro
und
path
ogen
div
ersi
tyPm
1231
a +
b *
sow
ndiv
16.3
426
13.6
67-1
9.56
416
.556
0.00
Abov
egro
und
path
ogen
div
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tyEb
1521
a +
exp(
c *
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)15
.956
613
.667
-18.
793
17.3
270.
00
Abov
egro
und
path
ogen
div
ersi
tyPc
221
a +
b *
sow
ndiv
13.6
334
20.5
00-1
8.74
717
.374
0.00
Abov
egro
und
path
ogen
div
ersi
tyE3
1a
+ ex
p(c
* so
wnd
iv)
13.1
894
20.5
00-1
7.85
918
.261
0.00
Abov
egro
und
path
ogen
div
ersi
tyPa
2a
+ b
* so
wnd
iv11
.759
327
.333
-17.
211
18.9
090.
00
Abov
egro
und
path
ogen
div
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tyPb
21a
+ b
* so
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iv11
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327
.333
-17.
211
18.9
090.
00
Abov
egro
und
path
ogen
div
ersi
tyPc
231
a +
b *
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ndiv
12.6
294
20.5
00-1
6.73
819
.382
0.00
Abov
egro
und
path
ogen
div
ersi
tyE3
2a
+ ex
p(c
* so
wnd
iv)
12.1
304
20.5
00-1
5.74
120
.379
0.00
Abov
egro
und
path
ogen
div
ersi
tyM
1421
d +
a *
sow
ndiv
/(b
+ so
wnd
iv)
20.4
8011
7.45
5-1
5.18
920
.931
0.00
Abov
egro
und
path
ogen
div
ersi
tyL0
bloc
k +
(sow
ndiv
+ fu
ncgr
+ g
rass
+ le
g)^2
25.5
0715
5.46
7-1
3.74
122
.379
0.00
Abov
egro
und
path
ogen
div
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tyL0
11bl
ock
+ (s
ownd
iv +
func
gr +
gra
ss +
leg)
^226
.267
165.
125
-12.
165
23.9
550.
00
Abov
egro
und
path
ogen
div
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tyL0
21bl
ock
+ (s
ownd
iv +
func
gr +
gra
ss +
leg)
^225
.967
165.
125
-11.
565
24.5
550.
00
Abov
egro
und
path
ogen
div
ersi
tyL0
1bl
ock
+ (s
ownd
iv +
func
gr +
gra
ss +
leg)
^225
.791
165.
125
-11.
212
24.9
080.
00
Abov
egro
und
path
ogen
div
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tyL0
2bl
ock
+ (s
ownd
iv +
func
gr +
gra
ss +
leg)
^225
.782
165.
125
-11.
195
24.9
250.
00
Abov
egro
und
path
ogen
div
ersi
tyE2
1a
+ b
* ex
p(so
wnd
iv)
9.63
44
20.5
00-1
0.74
825
.372
0.00
Abov
egro
und
path
ogen
div
ersi
tyE2
2a
+ b
* ex
p(so
wnd
iv)
8.32
94
20.5
00-8
.138
27.9
820.
00
Abov
egro
und
path
ogen
div
ersi
tyE2
a +
b *
exp(
sow
ndiv
)7.
061
327
.333
-7.8
1428
.306
0.00
Abov
egro
und
path
ogen
div
ersi
tyPe
1021
sow
ndiv
^c-2
4.24
74
20.5
0057
.014
93.1
340.
00
Abov
egro
und
path
ogen
div
ersi
tyPp
2521
sow
ndiv
^c-2
3.67
15
16.4
0058
.131
94.2
510.
00
Abov
egro
und
path
ogen
div
ersi
tyPr
3521
sow
ndiv
^c-2
3.95
95
16.4
0058
.707
94.8
270.
00
Abov
egro
und
path
ogen
div
ersi
tyPq
3021
sow
ndiv
^c-2
4.23
75
16.4
0059
.264
95.3
840.
00
Abov
egro
und
path
ogen
div
ersi
tyPs
4021
sow
ndiv
^c-2
3.48
46
13.6
6760
.089
96.2
090.
00
Supplementary Table 2 (continued)
SUPPLEMENTARY INFORMATIONRESEARCHdoi:10.1038/nature09492
WWW NATURE.COM/NATURE | 76
Long
var
iabl
e na
me
mod
el n
ame
mod
el fo
rmul
aLL
KN
2KA
ICc
delt
AIC
cw
_ic
Abov
egro
und
path
ogen
div
ersi
tyPn
2021
sow
ndiv
^c-2
6.60
54
20.5
0061
.730
97.8
500.
00
Abo
vegr
ound
pat
hoge
n di
vers
ityPm
1521
sow
ndiv
^c-3
0.15
64
20.5
0068
.831
104.
951
0.00
Abo
vegr
ound
pat
hoge
n di
vers
ityPc
521
sow
ndiv
^c-3
2.73
83
27.3
3371
.783
107.
903
0.00
Abo
vegr
ound
pat
hoge
n di
vers
ityEc
2411
exp(
c *
sow
ndiv
)-3
3.39
24
20.5
0075
.304
111.
424
0.00
Abo
vegr
ound
pat
hoge
n di
vers
ityPe
1031
sow
ndiv
^c-3
5.01
74
20.5
0078
.554
114.
674
0.00
Abo
vegr
ound
pat
hoge
n di
vers
ityPp
2531
sow
ndiv
^c-3
4.75
05
16.4
0080
.288
116.
409
0.00
Abo
vegr
ound
pat
hoge
n di
vers
ityPq
3031
sow
ndiv
^c-3
5.01
45
16.4
0080
.818
116.
938
0.00
Abo
vegr
ound
pat
hoge
n di
vers
ityPr
3531
sow
ndiv
^c-3
5.27
85
16.4
0081
.345
117.
465
0.00
Abo
vegr
ound
pat
hoge
n di
vers
ityEd
3021
exp(
c *
sow
ndiv
)-3
5.57
05
16.4
0081
.930
118.
050
0.00
Abo
vegr
ound
pat
hoge
n di
vers
ityPs
4031
sow
ndiv
^c-3
4.66
56
13.6
6782
.451
118.
571
0.00
Abo
vegr
ound
pat
hoge
n di
vers
ityEc
2421
exp(
c *
sow
ndiv
)-3
6.98
54
20.5
0082
.489
118.
609
0.00
Abo
vegr
ound
pat
hoge
n di
vers
ityEc
24ex
p(c
* so
wnd
iv)
-38.
386
327
.333
83.0
8011
9.20
00.
00
Abo
vegr
ound
pat
hoge
n di
vers
ityPn
2031
sow
ndiv
^c-3
8.00
24
20.5
0084
.523
120.
643
0.00
Abo
vegr
ound
pat
hoge
n di
vers
ityEf
4211
exp(
c *
sow
ndiv
)-3
7.20
35
16.4
0085
.195
121.
315
0.00
Abo
vegr
ound
pat
hoge
n di
vers
ityEf
4221
exp(
c *
sow
ndiv
)-3
7.58
35
16.4
0085
.956
122.
076
0.00
Abo
vegr
ound
pat
hoge
n di
vers
ityEa
121
exp(
c *
sow
ndiv
)-3
9.14
44
20.5
0086
.808
122.
928
0.00
Abo
vegr
ound
pat
hoge
n di
vers
ityEa
1221
exp(
c *
sow
ndiv
)-3
9.15
44
20.5
0086
.828
122.
948
0.00
Abo
vegr
ound
pat
hoge
n di
vers
ityEa
12ex
p(c
* so
wnd
iv)
-40.
980
327
.333
88.2
6712
4.38
70.
00
Abo
vegr
ound
pat
hoge
n di
vers
ityPd
101
sow
ndiv
^c-4
1.20
33
27.3
3388
.713
124.
833
0.00
Abo
vegr
ound
pat
hoge
n di
vers
ityPm
1531
sow
ndiv
^c-4
0.49
64
20.5
0089
.512
125.
632
0.00
Abo
vegr
ound
pat
hoge
n di
vers
ityPh
251
sow
ndiv
^c-4
0.93
94
20.5
0090
.398
126.
518
0.00
Abo
vegr
ound
pat
hoge
n di
vers
ityPj
351
sow
ndiv
^c-4
1.13
04
20.5
0090
.780
126.
900
0.00
Abo
vegr
ound
pat
hoge
n di
vers
ityPg
201
sow
ndiv
^c-4
2.25
93
27.3
3390
.825
126.
945
0.00
Abo
vegr
ound
pat
hoge
n di
vers
ityPi
301
sow
ndiv
^c-4
1.19
44
20.5
0090
.907
127.
027
0.00
Abo
vegr
ound
pat
hoge
n di
vers
ityPk
401
sow
ndiv
^c-4
0.87
95
16.4
0092
.547
128.
667
0.00
Abo
vegr
ound
pat
hoge
n di
vers
ityPc
531
sow
ndiv
^c-4
3.45
03
27.3
3393
.208
129.
328
0.00
Abo
vegr
ound
pat
hoge
n di
vers
ityPb
51so
wnd
iv^c
-44.
666
241
.000
93.4
8412
9.60
40.
00
Abo
vegr
ound
pat
hoge
n di
vers
ityPa
5so
wnd
iv^c
-44.
666
241
.000
93.4
8412
9.60
40.
00
Abo
vegr
ound
pat
hoge
n di
vers
ityPf
151
sow
ndiv
^c-4
3.66
33
27.3
3393
.635
129.
755
0.00
Abo
vegr
ound
pat
hoge
n di
vers
ityEb
1811
exp(
c *
sow
ndiv
)-4
3.07
64
20.5
0094
.671
130.
791
0.00
Abo
vegr
ound
pat
hoge
n di
vers
ityEb
18ex
p(c
* so
wnd
iv)
-46.
159
327
.333
98.6
2513
4.74
50.
00
Abo
vegr
ound
pat
hoge
n di
vers
ityEb
1821
exp(
c *
sow
ndiv
)-4
6.37
34
20.5
0010
1.26
513
7.38
50.
00
Abo
vegr
ound
pat
hoge
n di
vers
ityE6
2ex
p(c
* so
wnd
iv)
-49.
204
327
.333
104.
716
140.
836
0.00
Supplementary Table 2 (continued)
SUPPLEMENTARY INFORMATIONRESEARCHdoi:10.1038/nature09492
WWW NATURE.COM/NATURE | 77
Long
var
iabl
e na
me
mod
el n
ame
mod
el fo
rmul
aLL
KN
2KA
ICc
delt
AIC
cw
_ic
Abov
egro
und
path
ogen
div
ersi
tyE6
1ex
p(c
* so
wnd
iv)
-53.
489
327
.333
113.
286
149.
406
0.00
Abo
vegr
ound
pat
hoge
n di
vers
ityE5
1b
* ex
p(so
wnd
iv)
-66.
114
327
.333
138.
536
174.
656
0.00
Abo
vegr
ound
pat
hoge
n di
vers
ityE5
b *
exp(
sow
ndiv
)-6
7.25
62
41.0
0013
8.66
417
4.78
40.
00
Abo
vegr
ound
pat
hoge
n di
vers
ityE5
2b
* ex
p(so
wnd
iv)
-66.
864
327
.333
140.
036
176.
156
0.00
Abo
vegr
ound
pat
hoge
n di
vers
ityEc
2221
a +
exp(
sow
ndiv
)-7
94.2
424
20.5
0015
97.0
0416
33.1
240.
00
Abov
egro
und
path
ogen
div
ersi
tyEd
2821
a +
exp(
sow
ndiv
)-7
94.2
355
16.4
0015
99.2
6016
35.3
800.
00
Abo
vegr
ound
pat
hoge
n di
vers
ityEe
342
a +
exp(
sow
ndiv
)-7
94.2
425
16.4
0015
99.2
7416
35.3
940.
00
Abov
egro
und
path
ogen
div
ersi
tyEg
4621
a +
exp(
sow
ndiv
)-7
94.2
356
13.6
6716
01.5
8916
37.7
090.
00
Abo
vegr
ound
pat
hoge
n di
vers
ityE4
2a
+ ex
p(so
wnd
iv)
-800
.847
327
.333
1608
.002
1644
.122
0.00
Abov
egro
und
path
ogen
div
ersi
tyEb
1621
a +
exp(
sow
ndiv
)-8
00.7
264
20.5
0016
09.9
7216
46.0
920.
00
Abo
vegr
ound
pat
hoge
n di
vers
ityEa
1021
a +
exp(
sow
ndiv
)-8
00.7
754
20.5
0016
10.0
6916
46.1
890.
00
Abov
egro
und
path
ogen
div
ersi
tyEf
4021
a +
exp(
sow
ndiv
)-8
00.5
485
16.4
0016
11.8
8616
48.0
060.
00
Abo
vegr
ound
pat
hoge
n di
vers
ityEa
1011
a +
exp(
sow
ndiv
)-1
753.
602
420
.500
3515
.722
3551
.843
0.00
Abov
egro
und
path
ogen
div
ersi
tyE4
1a
+ ex
p(so
wnd
iv)
-175
5.33
13
27.3
3335
16.9
7135
53.0
910.
00
Abo
vegr
ound
pat
hoge
n di
vers
ityEf
4011
a +
exp(
sow
ndiv
)-1
753.
528
516
.400
3517
.846
3553
.966
0.00
Abov
egro
und
path
ogen
div
ersi
tyEd
2811
a +
exp(
sow
ndiv
)-1
753.
601
516
.400
3517
.992
3554
.113
0.00
Abo
vegr
ound
pat
hoge
n di
vers
ityEb
1611
a +
exp(
sow
ndiv
)-1
755.
297
420
.500
3519
.114
3555
.234
0.00
Abov
egro
und
path
ogen
div
ersi
tyEc
2211
a +
exp(
sow
ndiv
)-1
755.
331
420
.500
3519
.182
3555
.302
0.00
Abo
vegr
ound
pat
hoge
n di
vers
ityEg
4611
a +
exp(
sow
ndiv
)-1
753.
528
613
.667
3520
.177
3556
.297
0.00
Abov
egro
und
path
ogen
div
ersi
tyEe
341
a +
exp(
sow
ndiv
)-1
755.
297
516
.400
3521
.384
3557
.504
0.00
Abo
vegr
ound
pat
hoge
n di
vers
ityEf
3721
a +
b *
exp(
c *
sow
ndiv
)-2
748.
242
117.
455
5522
.255
5558
.375
0.00
Abov
egro
und
path
ogen
div
ersi
tyEc
1921
a +
b *
exp(
c *
sow
ndiv
)-2
913.
733
810
.250
5845
.439
5881
.559
0.00
Abov
egro
und
path
ogen
div
ersi
tyE4
a +
exp(
sow
ndiv
)-4
912.
516
241
.000
9829
.183
9865
.303
0.00
Abo
vegr
ound
pat
hoge
n di
vers
ityEa
10a
+ ex
p(so
wnd
iv)
-491
2.51
63
27.3
3398
31.3
3998
67.4
590.
00
Abov
egro
und
path
ogen
div
ersi
tyEb
16a
+ ex
p(so
wnd
iv)
-491
2.51
63
27.3
3398
31.3
3998
67.4
590.
00
Abo
vegr
ound
pat
hoge
n di
vers
ityEc
22a
+ ex
p(so
wnd
iv)
-491
2.51
63
27.3
3398
31.3
3998
67.4
590.
00
Abov
egro
und
path
ogen
div
ersi
tyEd
28a
+ ex
p(so
wnd
iv)
-491
2.51
64
20.5
0098
33.5
5198
69.6
710.
00
Abo
vegr
ound
pat
hoge
n di
vers
ityEe
40a
+ ex
p(so
wnd
iv)
-491
2.51
64
20.5
0098
33.5
5198
69.6
710.
00
Abov
egro
und
path
ogen
div
ersi
tyEf
40a
+ ex
p(so
wnd
iv)
-491
2.51
64
20.5
0098
33.5
5198
69.6
710.
00
Abo
vegr
ound
pat
hoge
n di
vers
ityEg
46a
+ ex
p(so
wnd
iv)
-491
2.51
65
16.4
0098
35.8
2198
71.9
410.
00
Her
bivo
ryL2
2so
wnd
iv +
func
gr +
leg
41.1
966
13.6
67-6
9.27
20.
000
0.36
Her
bivo
ryL2
1so
wnd
iv +
func
gr +
leg
41.0
496
13.6
67-6
8.97
70.
295
0.31
Her
bivo
ryL2
11so
wnd
iv +
func
gr +
leg
39.5
266
13.6
67-6
5.93
13.
341
0.07
Supplementary Table 2 (continued)
SUPPLEMENTARY INFORMATIONRESEARCHdoi:10.1038/nature09492
WWW NATURE.COM/NATURE | 78
Long
var
iabl
e na
me
mod
el n
ame
mod
el fo
rmul
aLL
KN
2KA
ICc
delt
AIC
cw
_ic
Her
bivo
ryL2
22so
wnd
iv +
func
gr +
leg
38.6
496
13.6
67-6
4.17
75.
095
0.03
Her
bivo
ryEa
911
a +
exp(
c *
sow
ndiv
)38
.151
613
.667
-63.
181
6.09
10.
02
Her
bivo
ryPn
1721
a +
b *
sow
ndiv
38.1
486
13.6
67-6
3.17
56.
097
0.02
Her
bivo
ryL2
sow
ndiv
+ fu
ncgr
+ le
g36
.909
516
.400
-63.
029
6.24
40.
02
Her
bivo
ryPn
1921
b *
sow
ndiv
^c37
.775
613
.667
-62.
430
6.84
20.
01
Her
bivo
ryPn
1821
a +
sow
ndiv
^c37
.751
613
.667
-62.
382
6.89
10.
01
Her
bivo
ryEa
921
a +
exp(
c *
sow
ndiv
)37
.555
613
.667
-61.
990
7.28
30.
01
Her
bivo
ryPn
1731
a +
b *
sow
ndiv
37.5
526
13.6
67-6
1.98
47.
288
0.01
Her
bivo
ryM
311
a *
sow
ndiv
/(b
+ so
wnd
iv)
37.4
836
13.6
67-6
1.84
67.
426
0.01
Her
bivo
ryPp
2421
b *
sow
ndiv
^c39
.799
810
.250
-61.
625
7.64
70.
01
Her
bivo
ryPn
1931
b *
sow
ndiv
^c37
.236
613
.667
-61.
353
7.91
90.
01
Her
bivo
ryPn
1831
a +
sow
ndiv
^c37
.214
613
.667
-61.
308
7.96
40.
01
Her
bivo
ryPp
2221
a +
b *
sow
ndiv
39.5
328
10.2
50-6
1.09
28.
181
0.01
Her
bivo
ryPp
2321
a +
sow
ndiv
^c39
.418
810
.250
-60.
863
8.40
90.
01
Her
bivo
ryPg
171
a +
b *
sow
ndiv
35.8
185
16.4
00-6
0.84
78.
425
0.01
Her
bivo
ryM
321
a *
sow
ndiv
/(b
+ so
wnd
iv)
36.9
666
13.6
67-6
0.81
38.
460
0.01
Her
bivo
ryM
3a
* so
wnd
iv/(
b +
sow
ndiv
)35
.678
516
.400
-60.
567
8.70
50.
00
Her
bivo
ryPg
191
b *
sow
ndiv
^c35
.636
516
.400
-60.
482
8.79
00.
00
Her
bivo
ryPg
181
a +
sow
ndiv
^c35
.633
516
.400
-60.
477
8.79
60.
00
Her
bivo
ryM
611
a *
sow
ndiv
/(b
+ so
wnd
iv)
38.9
028
10.2
50-5
9.83
19.
442
0.00
Her
bivo
ryPp
2431
b *
sow
ndiv
^c38
.837
810
.250
-59.
701
9.57
10.
00
Her
bivo
ryPr
3221
a +
b *
sow
ndiv
38.7
138
10.2
50-5
9.45
39.
819
0.00
Her
bivo
ryEf
3911
a +
exp(
c *
sow
ndiv
)38
.702
810
.250
-59.
431
9.84
10.
00
Her
bivo
ryPp
2231
a +
b *
sow
ndiv
38.6
688
10.2
50-5
9.36
39.
910
0.00
Her
bivo
ryPp
2331
a +
sow
ndiv
^c38
.636
810
.250
-59.
299
9.97
40.
00
Her
bivo
ryPr
3421
b *
sow
ndiv
^c38
.448
810
.250
-58.
924
10.3
490.
00
Her
bivo
ryPr
3321
a +
sow
ndiv
^c38
.379
810
.250
-58.
786
10.4
860.
00
Her
bivo
ryM
821
a *
sow
ndiv
/(b
+ so
wnd
iv)
38.3
208
10.2
50-5
8.66
710
.606
0.00
Her
bivo
ryPh
241
b *
sow
ndiv
^c37
.078
711
.714
-58.
642
10.6
300.
00
Her
bivo
ryPs
3921
b *
sow
ndiv
^c40
.762
108.
200
-58.
425
10.8
470.
00
Her
bivo
ryPh
231
a +
sow
ndiv
^c36
.963
711
.714
-58.
412
10.8
610.
00
Her
bivo
ryM
1321
d +
a *
sow
ndiv
/(b
+ so
wnd
iv)
42.0
8511
7.45
5-5
8.39
910
.873
0.00
Her
bivo
ryPh
221
a +
b *
sow
ndiv
36.9
227
11.7
14-5
8.33
110
.941
0.00
Supplementary Table 2 (continued)
SUPPLEMENTARY INFORMATIONRESEARCHdoi:10.1038/nature09492
WWW NATURE.COM/NATURE | 79
Long
var
iabl
e na
me
mod
el n
ame
mod
el fo
rmul
aLL
KN
2KA
ICc
delt
AIC
cw
_ic
Her
bivo
ryPc
221
a +
b *
sow
ndiv
33.4
224
20.5
00-5
8.32
410
.949
0.00
Her
bivo
ryE3
1a
+ ex
p(c
* so
wnd
iv)
33.4
174
20.5
00-5
8.31
410
.959
0.00
Her
bivo
ryPr
3231
a +
b *
sow
ndiv
37.9
698
10.2
50-5
7.96
611
.306
0.00
Her
bivo
ryEf
3921
a +
exp(
c *
sow
ndiv
)37
.964
810
.250
-57.
956
11.3
170.
00
Her
bivo
ryPs
3721
a +
b *
sow
ndiv
40.3
5710
8.20
0-5
7.61
611
.656
0.00
Her
bivo
ryE2
1a
+ b
* ex
p(so
wnd
iv)
33.0
414
20.5
00-5
7.56
411
.709
0.00
Her
bivo
ryPc
231
a +
b *
sow
ndiv
33.0
234
20.5
00-5
7.52
611
.747
0.00
Her
bivo
ryE3
2a
+ ex
p(c
* so
wnd
iv)
33.0
154
20.5
00-5
7.51
011
.762
0.00
Her
bivo
ryPc
421
b *
sow
ndiv
^c32
.996
420
.500
-57.
472
11.8
010.
00
Her
bivo
ryPr
3431
b *
sow
ndiv
^c37
.714
810
.250
-57.
455
11.8
180.
00
Her
bivo
ryPr
3331
a +
sow
ndiv
^c37
.674
810
.250
-57.
376
11.8
960.
00
Her
bivo
ryM
832
a *
sow
ndiv
/(b
+ so
wnd
iv)
37.6
708
10.2
50-5
7.36
711
.906
0.00
Her
bivo
ryPc
321
a +
sow
ndiv
^c32
.888
420
.500
-57.
256
12.0
160.
00
Her
bivo
ryM
1232
d +
a *
sow
ndiv
/(b
+ so
wnd
iv)
37.5
888
10.2
50-5
7.20
312
.069
0.00
Her
bivo
ryPs
3821
a +
sow
ndiv
^c40
.103
108.
200
-57.
108
12.1
650.
00
Her
bivo
ryPc
431
b *
sow
ndiv
^c32
.780
420
.500
-57.
040
12.2
320.
00
Her
bivo
ryPj
321
a +
b *
sow
ndiv
36.2
427
11.7
14-5
6.97
012
.303
0.00
Her
bivo
ryM
121
d +
a *
sow
ndiv
/(b
+ so
wnd
iv)
36.2
177
11.7
14-5
6.92
112
.351
0.00
Her
bivo
ryPc
331
a +
sow
ndiv
^c32
.672
420
.500
-56.
824
12.4
490.
00
Her
bivo
ryM
81a
* so
wnd
iv/(
b +
sow
ndiv
)36
.168
711
.714
-56.
822
12.4
510.
00
Her
bivo
ryE2
2a
+ b
* ex
p(so
wnd
iv)
32.6
294
20.5
00-5
6.73
912
.533
0.00
Her
bivo
ryPj
331
a +
sow
ndiv
^c36
.002
711
.714
-56.
490
12.7
830.
00
Her
bivo
ryPj
341
b *
sow
ndiv
^c35
.998
711
.714
-56.
482
12.7
900.
00
Her
bivo
ryAS
3SS
asym
pOrig
(sow
ndiv
, Asy
m, l
rc)
31.3
893
27.3
33-5
6.46
912
.803
0.00
Her
bivo
ryPc
121
a +
b *
sow
ndiv
^c33
.425
516
.400
-56.
061
13.2
110.
00
Her
bivo
ryM
921
a *
sow
ndiv
/(b
+ so
wnd
iv)
39.5
5810
8.20
0-5
6.01
713
.256
0.00
Her
bivo
ryPb
21a
+ b
* so
wnd
iv31
.149
327
.333
-55.
990
13.2
820.
00
Her
bivo
ryPa
2a
+ b
* so
wnd
iv31
.149
327
.333
-55.
990
13.2
820.
00
Her
bivo
ryPa
4b
* so
wnd
iv^c
31.1
063
27.3
33-5
5.90
313
.369
0.00
Her
bivo
ryPb
41b
* so
wnd
iv^c
31.1
063
27.3
33-5
5.90
313
.369
0.00
Her
bivo
ryPa
3a
+ so
wnd
iv^c
31.0
903
27.3
33-5
5.87
213
.401
0.00
Her
bivo
ryPb
31a
+ so
wnd
iv^c
31.0
903
27.3
33-5
5.87
213
.401
0.00
Her
bivo
ryPs
3931
b *
sow
ndiv
^c39
.477
108.
200
-55.
854
13.4
180.
00
Supplementary Table 2 (continued)
SUPPLEMENTARY INFORMATIONRESEARCHdoi:10.1038/nature09492
WWW NATURE.COM/NATURE | 80
Long
var
iabl
e na
me
mod
el n
ame
mod
el fo
rmul
aLL
KN
2KA
ICc
delt
AIC
cw
_ic
Her
bivo
ryM
1aSS
mic
men
(sow
ndiv
, Vm
, k)
31.0
463
27.3
33-5
5.78
513
.487
0.00
Her
bivo
ryM
1a
* so
wnd
iv/(
b +
sow
ndiv
)31
.046
327
.333
-55.
785
13.4
870.
00
Her
bivo
ryPm
1421
b *
sow
ndiv
^c34
.360
613
.667
-55.
601
13.6
710.
00
Her
bivo
ryPs
3731
a +
b *
sow
ndiv
39.2
5110
8.20
0-5
5.40
313
.869
0.00
Her
bivo
ryPm
1321
a +
sow
ndiv
^c34
.213
613
.667
-55.
305
13.9
670.
00
Her
bivo
ryE2
a +
b *
exp(
sow
ndiv
)30
.806
327
.333
-55.
304
13.9
680.
00
Her
bivo
ryPs
3831
a +
sow
ndiv
^c39
.127
108.
200
-55.
155
14.1
170.
00
Her
bivo
ryPm
1221
a +
b *
sow
ndiv
34.1
346
13.6
67-5
5.14
714
.125
0.00
Her
bivo
ryEb
1511
a +
exp(
c *
sow
ndiv
)34
.102
613
.667
-55.
084
14.1
890.
00
Her
bivo
ryPm
1431
b *
sow
ndiv
^c34
.013
613
.667
-54.
907
14.3
660.
00
Her
bivo
ryM
1121
d +
a *
sow
ndiv
/(b
+ so
wnd
iv)
36.3
788
10.2
50-5
4.78
414
.488
0.00
Her
bivo
ryPm
1331
a +
sow
ndiv
^c33
.898
613
.667
-54.
676
14.5
960.
00
Her
bivo
ryPk
391
b *
sow
ndiv
^c37
.538
99.
111
-54.
576
14.6
960.
00
Her
bivo
ryPk
371
a +
b *
sow
ndiv
37.3
709
9.11
1-5
4.23
915
.033
0.00
Her
bivo
ryPm
1231
a +
b *
sow
ndiv
33.6
506
13.6
67-5
4.18
015
.093
0.00
Her
bivo
ryPk
381
a +
sow
ndiv
^c37
.327
99.
111
-54.
155
15.1
180.
00
Her
bivo
ryEb
1521
a +
exp(
c *
sow
ndiv
)33
.621
613
.667
-54.
123
15.1
500.
00
Her
bivo
ryPe
921
b *
sow
ndiv
^c33
.542
613
.667
-53.
964
15.3
080.
00
Her
bivo
ryM
411
a *
sow
ndiv
/(b
+ so
wnd
iv)
33.5
416
13.6
67-5
3.96
315
.310
0.00
Her
bivo
ryPe
721
a +
b *
sow
ndiv
33.5
166
13.6
67-5
3.91
215
.360
0.00
Her
bivo
ryPa
1a
+ b
* so
wnd
iv^c
31.1
814
20.5
00-5
3.84
215
.431
0.00
Her
bivo
ryPb
11a
+ b
* so
wnd
iv^c
31.1
814
20.5
00-5
3.84
215
.431
0.00
Her
bivo
ryLG
2SS
logi
s(so
wnd
iv, A
sym
, xm
id, s
cal)
31.1
624
20.5
00-5
3.80
415
.469
0.00
Her
bivo
ryA
S2SS
asym
pOff
(sow
ndiv
, Asy
m, l
rc, c
0)31
.161
420
.500
-53.
802
15.4
710.
00
Her
bivo
ryAS
1SS
asym
p(so
wnd
iv, A
sym
, R0,
lrc)
31.1
614
20.5
00-5
3.80
215
.471
0.00
Her
bivo
ryPe
821
a +
sow
ndiv
^c33
.432
613
.667
-53.
745
15.5
280.
00
Her
bivo
ryPf
141
b *
sow
ndiv
^c32
.258
516
.400
-53.
726
15.5
460.
00
Her
bivo
ryPf
131
a +
sow
ndiv
^c32
.206
516
.400
-53.
622
15.6
510.
00
Her
bivo
ryM
422
a *
sow
ndiv
/(b
+ so
wnd
iv)
33.2
906
13.6
67-5
3.46
115
.812
0.00
Her
bivo
ryM
4a
* so
wnd
iv/(
b +
sow
ndiv
)32
.088
516
.400
-53.
386
15.8
870.
00
Her
bivo
ryPe
931
b *
sow
ndiv
^c33
.135
613
.667
-53.
151
16.1
220.
00
Her
bivo
ryPe
731
a +
b *
sow
ndiv
33.1
206
13.6
67-5
3.12
116
.152
0.00
Her
bivo
ryEc
2121
a +
exp(
c *
sow
ndiv
)33
.118
613
.667
-53.
117
16.1
560.
00
Supplementary Table 2 (continued)
SUPPLEMENTARY INFORMATIONRESEARCHdoi:10.1038/nature09492
WWW NATURE.COM/NATURE | 81
Long
var
iabl
e na
me
mod
el n
ame
mod
el fo
rmul
aLL
KN
2KA
ICc
delt
AIC
cw
_ic
Her
bivo
ryPe
831
a +
sow
ndiv
^c33
.061
613
.667
-53.
001
16.2
710.
00
Her
bivo
ryPf
121
a +
b *
sow
ndiv
31.8
795
16.4
00-5
2.96
916
.304
0.00
Her
bivo
ryM
511
a *
sow
ndiv
/(b
+ so
wnd
iv)
33.0
076
13.6
67-5
2.89
316
.379
0.00
Her
bivo
ryPh
211
a +
b *
sow
ndiv
^c37
.919
108.
200
-52.
740
16.5
320.
00
Her
bivo
ryM
522
a *
sow
ndiv
/(b
+ so
wnd
iv)
32.7
116
13.6
67-5
2.30
216
.971
0.00
Her
bivo
ryPq
2721
a +
b *
sow
ndiv
35.0
138
10.2
50-5
2.05
417
.219
0.00
Her
bivo
ryPd
91b
* so
wnd
iv^c
31.2
645
16.4
00-5
1.73
917
.533
0.00
Her
bivo
ryPd
71a
+ b
* so
wnd
iv31
.238
516
.400
-51.
687
17.5
860.
00
Her
bivo
ryM
1632
d +
a *
sow
ndiv
/(b
+ so
wnd
iv)
42.9
6214
5.85
7-5
1.65
517
.618
0.00
Her
bivo
ryPd
81a
+ so
wnd
iv^c
31.2
205
16.4
00-5
1.65
217
.621
0.00
Her
bivo
ryPq
2921
b *
sow
ndiv
^c34
.785
810
.250
-51.
598
17.6
750.
00
Her
bivo
ryM
5a
* so
wnd
iv/(
b +
sow
ndiv
)31
.179
516
.400
-51.
569
17.7
030.
00
Her
bivo
ryPq
2821
a +
sow
ndiv
^c34
.729
810
.250
-51.
485
17.7
870.
00
Her
bivo
ryL0
21bl
ock
+ (s
ownd
iv +
func
gr +
gra
ss +
leg)
^245
.900
165.
125
-51.
430
17.8
420.
00
Her
bivo
ryM
711
a *
sow
ndiv
/(b
+ so
wnd
iv)
34.5
278
10.2
50-5
1.08
218
.190
0.00
Her
bivo
ryPq
2731
a +
b *
sow
ndiv
34.5
018
10.2
50-5
1.02
918
.244
0.00
Her
bivo
ryPq
2931
b *
sow
ndiv
^c34
.354
810
.250
-50.
735
18.5
370.
00
Her
bivo
ryPq
2831
a +
sow
ndiv
^c34
.304
810
.250
-50.
635
18.6
370.
00
Her
bivo
ryM
722
a *
sow
ndiv
/(b
+ so
wnd
iv)
34.0
598
10.2
50-5
0.14
619
.126
0.00
Her
bivo
ryPi
271
a +
b *
sow
ndiv
32.7
017
11.7
14-4
9.88
819
.384
0.00
Her
bivo
ryPi
291
b *
sow
ndiv
^c32
.602
711
.714
-49.
690
19.5
830.
00
Her
bivo
ryPi
281
a +
sow
ndiv
^c32
.579
711
.714
-49.
644
19.6
290.
00
Her
bivo
ryM
7a
* so
wnd
iv/(
b +
sow
ndiv
)32
.574
711
.714
-49.
635
19.6
370.
00
Her
bivo
ryPd
61a
+ b
* so
wnd
iv^c
32.0
147
11.7
14-4
8.51
420
.759
0.00
Her
bivo
ryL0
2bl
ock
+ (s
ownd
iv +
func
gr +
gra
ss +
leg)
^244
.424
165.
125
-48.
479
20.7
930.
00
Her
bivo
ryPk
361
a +
b *
sow
ndiv
^c39
.593
136.
308
-47.
834
21.4
390.
00
Her
bivo
ryL0
11bl
ock
+ (s
ownd
iv +
func
gr +
gra
ss +
leg)
^243
.699
165.
125
-47.
030
22.2
430.
00
Her
bivo
ryPi
261
a +
b *
sow
ndiv
^c33
.730
108.
200
-44.
362
24.9
100.
00
Her
bivo
ryM
932
a *
sow
ndiv
/(b
+ so
wnd
iv)
33.0
9210
8.20
0-4
3.08
626
.186
0.00
Her
bivo
ryL0
bloc
k +
(sow
ndiv
+ fu
ncgr
+ g
rass
+ le
g)^2
39.5
9115
5.46
7-4
1.91
027
.362
0.00
Her
bivo
ryM
622
a *
sow
ndiv
/(b
+ so
wnd
iv)
23.2
988
10.2
50-2
8.62
340
.649
0.00
Her
bivo
ryM
6a
* so
wnd
iv/(
b +
sow
ndiv
)21
.048
711
.714
-26.
583
42.6
900.
00
Her
bivo
ryM
91a
* so
wnd
iv/(
b +
sow
ndiv
)18
.946
99.
111
-17.
392
51.8
810.
00
Supplementary Table 2 (continued)
SUPPLEMENTARY INFORMATIONRESEARCHdoi:10.1038/nature09492
WWW NATURE.COM/NATURE | 82
Long
var
iabl
e na
me
mod
el n
ame
mod
el fo
rmul
aLL
KN
2KA
ICc
delt
AIC
cw
_ic
Her
bivo
ryEd
3021
exp(
c *
sow
ndiv
)-1
.164
516
.400
13.1
1882
.391
0.00
Her
bivo
ryEa
12ex
p(c
* so
wnd
iv)
-3.9
393
27.3
3314
.186
83.4
580.
00
Her
bivo
ryEa
1221
exp(
c *
sow
ndiv
)-3
.010
420
.500
14.5
4083
.812
0.00
Her
bivo
ryEf
4221
exp(
c *
sow
ndiv
)-1
.909
516
.400
14.6
0783
.880
0.00
Her
bivo
ryEf
4211
exp(
c *
sow
ndiv
)-2
.225
516
.400
15.2
3984
.512
0.00
Her
bivo
ryEa
121
exp(
c *
sow
ndiv
)-3
.435
420
.500
15.3
9084
.662
0.00
Her
bivo
ryEc
24ex
p(c
* so
wnd
iv)
-5.0
923
27.3
3316
.492
85.7
650.
00
Her
bivo
ryEc
2411
exp(
c *
sow
ndiv
)-4
.149
420
.500
16.8
1786
.089
0.00
Her
bivo
ryEc
2421
exp(
c *
sow
ndiv
)-4
.203
420
.500
16.9
2586
.198
0.00
Her
bivo
ryE6
1ex
p(c
* so
wnd
iv)
-7.9
703
27.3
3322
.248
91.5
210.
00
Her
bivo
ryE6
2ex
p(c
* so
wnd
iv)
-8.1
253
27.3
3322
.558
91.8
300.
00
Her
bivo
ryE5
2b
* ex
p(so
wnd
iv)
-8.6
513
27.3
3323
.610
92.8
820.
00
Her
bivo
ryEb
18ex
p(c
* so
wnd
iv)
-8.7
373
27.3
3323
.782
93.0
540.
00
Her
bivo
ryEb
1811
exp(
c *
sow
ndiv
)-7
.964
420
.500
24.4
4793
.719
0.00
Her
bivo
ryEb
1821
exp(
c *
sow
ndiv
)-8
.125
420
.500
24.7
6994
.042
0.00
Her
bivo
ryE5
b *
exp(
sow
ndiv
)-1
0.33
62
41.0
0024
.824
94.0
970.
00
Her
bivo
ryE5
1b
* ex
p(so
wnd
iv)
-10.
130
327
.333
26.5
6895
.840
0.00
Her
bivo
ryPr
3521
sow
ndiv
^c-2
1.59
15
16.4
0053
.972
123.
244
0.00
Her
bivo
ryPp
2521
sow
ndiv
^c-2
1.66
35
16.4
0054
.115
123.
387
0.00
Her
bivo
ryPs
4021
sow
ndiv
^c-2
1.34
56
13.6
6755
.811
125.
083
0.00
Her
bivo
ryPe
1021
sow
ndiv
^c-2
3.80
44
20.5
0056
.128
125.
401
0.00
Her
bivo
ryPn
2021
sow
ndiv
^c-2
4.53
84
20.5
0057
.595
126.
867
0.00
Her
bivo
ryPq
3021
sow
ndiv
^c-2
3.67
25
16.4
0058
.134
127.
406
0.00
Her
bivo
ryPc
521
sow
ndiv
^c-3
1.12
33
27.3
3368
.553
137.
826
0.00
Her
bivo
ryPm
1521
sow
ndiv
^c-3
0.06
64
20.5
0068
.651
137.
923
0.00
Her
bivo
ryPp
2531
sow
ndiv
^c-3
7.88
85
16.4
0086
.565
155.
837
0.00
Her
bivo
ryPe
1031
sow
ndiv
^c-3
9.04
34
20.5
0086
.605
155.
877
0.00
Her
bivo
ryPr
3531
sow
ndiv
^c-3
8.35
65
16.4
0087
.501
156.
773
0.00
Her
bivo
ryPq
3031
sow
ndiv
^c-3
8.94
35
16.4
0088
.676
157.
948
0.00
Her
bivo
ryPs
4031
sow
ndiv
^c-3
7.79
66
13.6
6788
.712
157.
985
0.00
Her
bivo
ryPc
531
sow
ndiv
^c-4
5.62
03
27.3
3397
.547
166.
819
0.00
Her
bivo
ryPg
201
sow
ndiv
^c-4
6.20
53
27.3
3398
.718
167.
990
0.00
Her
bivo
ryPm
1531
sow
ndiv
^c-4
5.41
94
20.5
0099
.358
168.
630
0.00
Supplementary Table 2 (continued)
SUPPLEMENTARY INFORMATIONRESEARCHdoi:10.1038/nature09492
WWW NATURE.COM/NATURE | 83
Long
var
iabl
e na
me
mod
el n
ame
mod
el fo
rmul
aLL
KN
2KA
ICc
delt
AIC
cw
_ic
Her
bivo
ryPb
51so
wnd
iv^c
-48.
045
241
.000
100.
241
169.
513
0.00
Her
bivo
ryPa
5so
wnd
iv^c
-48.
045
241
.000
100.
241
169.
513
0.00
Her
bivo
ryPj
351
sow
ndiv
^c-4
6.04
94
20.5
0010
0.61
816
9.89
00.
00
Her
bivo
ryPd
101
sow
ndiv
^c-4
7.18
03
27.3
3310
0.66
716
9.93
90.
00
Her
bivo
ryPh
251
sow
ndiv
^c-4
6.11
94
20.5
0010
0.75
817
0.03
10.
00
Her
bivo
ryPf
151
sow
ndiv
^c-4
8.03
53
27.3
3310
2.37
717
1.64
90.
00
Her
bivo
ryPi
301
sow
ndiv
^c-4
6.95
54
20.5
0010
2.43
017
1.70
20.
00
Her
bivo
ryPk
401
sow
ndiv
^c-4
6.03
75
16.4
0010
2.86
417
2.13
60.
00
Her
bivo
ryEc
2221
a +
exp(
sow
ndiv
)-7
94.2
274
20.5
0015
96.9
7416
66.2
470.
00
Her
bivo
ryEd
2821
a +
exp(
sow
ndiv
)-7
94.2
225
16.4
0015
99.2
3316
68.5
050.
00
Her
bivo
ryEe
342
a +
exp(
sow
ndiv
)-7
94.2
255
16.4
0015
99.2
3916
68.5
110.
00
Her
bivo
ryEg
4621
a +
exp(
sow
ndiv
)-7
94.2
216
13.6
6716
01.5
6216
70.8
340.
00
Her
bivo
ryE4
2a
+ ex
p(so
wnd
iv)
-800
.854
327
.333
1608
.017
1677
.289
0.00
Her
bivo
ryEb
1621
a +
exp(
sow
ndiv
)-8
00.7
054
20.5
0016
09.9
2916
79.2
010.
00
Her
bivo
ryEa
1021
a +
exp(
sow
ndiv
)-8
00.7
804
20.5
0016
10.0
7916
79.3
510.
00
Her
bivo
ryEf
4021
a +
exp(
sow
ndiv
)-8
00.5
095
16.4
0016
11.8
0816
81.0
800.
00
Her
bivo
ryEa
1011
a +
exp(
sow
ndiv
)-1
727.
462
420
.500
3463
.443
3532
.715
0.00
Her
bivo
ryEf
4011
a +
exp(
sow
ndiv
)-1
726.
707
516
.400
3464
.203
3533
.476
0.00
Her
bivo
ryEb
1611
a +
exp(
sow
ndiv
)-1
728.
199
420
.500
3464
.917
3534
.190
0.00
Her
bivo
ryEd
2811
a +
exp(
sow
ndiv
)-1
727.
462
516
.400
3465
.713
3534
.985
0.00
Her
bivo
ryE4
1a
+ ex
p(so
wnd
iv)
-172
9.90
53
27.3
3334
66.1
1735
35.3
900.
00
Her
bivo
ryEg
4611
a +
exp(
sow
ndiv
)-1
726.
707
613
.667
3466
.534
3535
.806
0.00
Her
bivo
ryEe
341
a +
exp(
sow
ndiv
)-1
728.
199
516
.400
3467
.187
3536
.460
0.00
Her
bivo
ryEc
2211
a +
exp(
sow
ndiv
)-1
729.
905
420
.500
3468
.329
3537
.601
0.00
Her
bivo
ryEf
3721
a +
b *
exp(
c *
sow
ndiv
)-2
688.
523
117.
455
5402
.817
5472
.089
0.00
Her
bivo
ryEc
1921
a +
b *
exp(
c *
sow
ndiv
)-2
878.
481
810
.250
5774
.934
5844
.207
0.00
Her
bivo
ryE4
a +
exp(
sow
ndiv
)-4
912.
516
241
.000
9829
.183
9898
.455
0.00
Her
bivo
ryEa
10a
+ ex
p(so
wnd
iv)
-491
2.51
63
27.3
3398
31.3
3999
00.6
110.
00
Her
bivo
ryEb
16a
+ ex
p(so
wnd
iv)
-491
2.51
63
27.3
3398
31.3
3999
00.6
110.
00
Her
bivo
ryEc
22a
+ ex
p(so
wnd
iv)
-491
2.51
63
27.3
3398
31.3
3999
00.6
110.
00
Her
bivo
ryEd
28a
+ ex
p(so
wnd
iv)
-491
2.51
64
20.5
0098
33.5
5199
02.8
230.
00
Her
bivo
ryEe
40a
+ ex
p(so
wnd
iv)
-491
2.51
64
20.5
0098
33.5
5199
02.8
230.
00
Her
bivo
ryEf
40a
+ ex
p(so
wnd
iv)
-491
2.51
64
20.5
0098
33.5
5199
02.8
230.
00
Supplementary Table 2 (continued)
SUPPLEMENTARY INFORMATIONRESEARCHdoi:10.1038/nature09492
WWW NATURE.COM/NATURE | 84
Long
var
iabl
e na
me
mod
el n
ame
mod
el fo
rmul
aLL
KN
2KA
ICc
delt
AIC
cw
_ic
Her
bivo
ryEg
46a
+ ex
p(so
wnd
iv)
-491
2.51
65
16.4
0098
35.8
2199
05.0
930.
00
Para
sitis
mPa
2a
+ b
* so
wnd
iv5.
078
326
.000
-3.8
330.
000
0.15
Para
sitis
mPa
4b
* so
wnd
iv^c
4.93
53
26.0
00-3
.546
0.28
70.
13
Para
sitis
mPa
3a
+ so
wnd
iv^c
4.87
23
26.0
00-3
.419
0.41
30.
13
Para
sitis
mE2
a +
b *
exp(
sow
ndiv
)4.
726
326
.000
-3.1
280.
705
0.11
Para
sitis
mM
1aSS
mic
men
(sow
ndiv
, Vm
, k)
4.28
93
26.0
00-2
.254
1.57
80.
07
Para
sitis
mM
1a
* so
wnd
iv/(
b +
sow
ndiv
)4.
289
326
.000
-2.2
541.
578
0.07
Para
sitis
mPa
1a
+ b
* so
wnd
iv^c
5.13
14
19.5
00-1
.714
2.11
90.
05
Para
sitis
mM
2d
+ a
* so
wnd
iv/(
b +
sow
ndiv
)5.
118
419
.500
-1.6
872.
145
0.05
Para
sitis
mAS
2SS
asym
pOff
(sow
ndiv
, Asy
m, l
rc, c
0)5.
115
419
.500
-1.6
812.
151
0.05
Para
sitis
mA
S1SS
asym
p(so
wnd
iv, A
sym
, R0,
lrc)
5.11
54
19.5
00-1
.681
2.15
10.
05
Para
sitis
mLG
2SS
logi
s(so
wnd
iv, A
sym
, xm
id, s
cal)
5.10
54
19.5
00-1
.662
2.17
10.
05
Para
sitis
mA
S3SS
asym
pOrig
(sow
ndiv
, Asy
m, l
rc)
3.81
13
26.0
00-1
.297
2.53
60.
04
Para
sitis
mL2
sow
ndiv
+ fu
ncgr
+ le
g5.
805
515
.600
-0.7
763.
057
0.03
Para
sitis
mL0
bloc
k +
(sow
ndiv
+ fu
ncgr
+ g
rass
+ le
g)^2
14.3
9815
5.20
08.
945
12.7
780.
00
Para
sitis
mE5
b *
exp(
sow
ndiv
)-3
1.23
52
39.0
0066
.631
70.4
630.
00
Para
sitis
mPa
5so
wnd
iv^c
-46.
858
239
.000
97.8
7510
1.70
80.
00
Para
sitis
mE4
a +
exp(
sow
ndiv
)-4
674.
831
239
.000
9353
.822
9357
.655
0.00
Flow
er v
isita
tion
L2so
wnd
iv +
func
gr +
leg
41.2
495
14.6
00-7
1.60
20.
000
0.75
Flow
er v
isita
tion
Pa4
b *
sow
ndiv
^c36
.025
324
.333
-65.
703
5.90
00.
04
Flow
er v
isita
tion
M1a
SSm
icm
en(s
ownd
iv, V
m, k
)36
.007
324
.333
-65.
666
5.93
60.
04
Flow
er v
isita
tion
M1
a *
sow
ndiv
/(b
+ so
wnd
iv)
36.0
073
24.3
33-6
5.66
65.
936
0.04
Flow
er v
isita
tion
Pa3
a +
sow
ndiv
^c36
.001
324
.333
-65.
654
5.94
80.
04
Flow
er v
isita
tion
AS3
SSas
ympO
rig(s
ownd
iv, A
sym
, lrc
)35
.673
324
.333
-64.
998
6.60
50.
03
Flow
er v
isita
tion
Pa1
a +
b *
sow
ndiv
^c36
.189
418
.250
-63.
790
7.81
30.
02
Flow
er v
isita
tion
M2
d +
a *
sow
ndiv
/(b
+ so
wnd
iv)
36.1
224
18.2
50-6
3.65
57.
947
0.01
Flow
er v
isita
tion
AS1
SSas
ymp(
sow
ndiv
, Asy
m, R
0, lr
c)36
.040
418
.250
-63.
492
8.11
00.
01
Flow
er v
isita
tion
AS2
SSas
ympO
ff(s
ownd
iv, A
sym
, lrc
, c0)
36.0
404
18.2
50-6
3.49
28.
110
0.01
Flow
er v
isita
tion
Pa2
a +
b *
sow
ndiv
34.5
263
24.3
33-6
2.70
38.
899
0.01
Flow
er v
isita
tion
LG2
SSlo
gis(
sow
ndiv
, Asy
m, x
mid
, sca
l)35
.602
418
.250
-62.
615
8.98
70.
01
Flow
er v
isita
tion
E2a
+ b
* ex
p(so
wnd
iv)
31.6
863
24.3
33-5
7.02
314
.579
0.00
Flow
er v
isita
tion
L0bl
ock
+ (s
ownd
iv +
func
gr +
gra
ss +
leg)
^246
.318
154.
867
-54.
214
17.3
880.
00
Flow
er v
isita
tion
E5b
* ex
p(so
wnd
iv)
17.6
322
36.5
00-3
1.09
240
.510
0.00
Supplementary Table 2 (continued)
SUPPLEMENTARY INFORMATIONRESEARCHdoi:10.1038/nature09492
WWW NATURE.COM/NATURE | 85
Long
var
iabl
e na
me
mod
el n
ame
mod
el fo
rmul
aLL
KN
2KA
ICc
delt
AIC
cw
_ic
Flow
er v
isita
tion
Pa5
sow
ndiv
^c-4
3.53
02
36.5
0091
.232
162.
834
0.00
Flow
er v
isita
tion
E4a
+ ex
p(so
wnd
iv)
-437
7.58
02
36.5
0087
59.3
3288
30.9
350.
00
Litt
er d
ecom
posi
tion
Pa4
b *
sow
ndiv
^c10
.937
314
.667
-15.
275
0.00
00.
13
Litt
er d
ecom
posi
tion
Pa3
a +
sow
ndiv
^c10
.937
314
.667
-15.
275
0.00
00.
13
Litt
er d
ecom
posi
tion
Pa2
a +
b *
sow
ndiv
10.7
993
14.6
67-1
4.99
80.
277
0.12
Litt
er d
ecom
posi
tion
E3a
+ ex
p(c
* so
wnd
iv)
10.7
923
14.6
67-1
4.98
40.
291
0.11
Litt
er d
ecom
posi
tion
M1
a *
sow
ndiv
/(b
+ so
wnd
iv)
10.7
913
14.6
67-1
4.98
20.
292
0.11
Litt
er d
ecom
posi
tion
M1a
SSm
icm
en(s
ownd
iv, V
m, k
)10
.791
314
.667
-14.
982
0.29
20.
11
Litt
er d
ecom
posi
tion
E2a
+ b
* ex
p(so
wnd
iv)
10.5
963
14.6
67-1
4.59
20.
682
0.09
Litt
er d
ecom
posi
tion
AS3
SSas
ympO
rig(s
ownd
iv, A
sym
, lrc
)10
.565
314
.667
-14.
529
0.74
60.
09
Litt
er d
ecom
posi
tion
M2
d +
a *
sow
ndiv
/(b
+ so
wnd
iv)
10.9
374
11.0
00-1
2.84
92.
426
0.04
Litt
er d
ecom
posi
tion
Pa1
a +
b *
sow
ndiv
^c10
.937
411
.000
-12.
849
2.42
60.
04
Litt
er d
ecom
posi
tion
L2so
wnd
iv +
func
gr +
leg
10.7
995
8.80
0-1
0.01
95.
256
0.01
Litt
er d
ecom
posi
tion
L0bl
ock
+ (s
ownd
iv +
func
gr +
gra
ss +
leg)
^223
.167
152.
933
0.80
916
.084
0.00
Litt
er d
ecom
posi
tion
Pa5
sow
ndiv
^c-1
6.74
82
22.0
0037
.789
53.0
640.
00
Litt
er d
ecom
posi
tion
E6ex
p(c
* so
wnd
iv)
-17.
601
222
.000
39.4
9454
.769
0.00
Litt
er d
ecom
posi
tion
E5b
* ex
p(so
wnd
iv)
-31.
904
222
.000
68.1
0183
.376
0.00
Litt
er d
ecom
posi
tion
E4a
+ ex
p(so
wnd
iv)
-731
.905
222
.000
1468
.104
1483
.378
0.00
Seed
pre
datio
nPa
3a
+ so
wnd
iv^c
11.1
233
15.3
33-1
5.67
50.
000
0.13
Seed
pre
datio
nPa
4b
* so
wnd
iv^c
11.1
233
15.3
33-1
5.67
40.
000
0.13
Seed
pre
datio
nE3
a +
exp(
c *
sow
ndiv
)11
.035
315
.333
-15.
499
0.17
60.
12
Seed
pre
datio
nPa
2a
+ b
* so
wnd
iv11
.031
315
.333
-15.
491
0.18
40.
12
Seed
pre
datio
nM
1aSS
mic
men
(sow
ndiv
, Vm
, k)
11.0
173
15.3
33-1
5.46
30.
212
0.12
Seed
pre
datio
nM
1a
* so
wnd
iv/(
b +
sow
ndiv
)11
.017
315
.333
-15.
463
0.21
20.
12
Seed
pre
datio
nE2
a +
b *
exp(
sow
ndiv
)10
.904
315
.333
-15.
236
0.43
90.
11
Seed
pre
datio
nL2
sow
ndiv
+ fu
ncgr
+ le
g12
.756
59.
200
-14.
013
1.66
20.
06
Seed
pre
datio
nPa
1a
+ b
* so
wnd
iv^c
11.1
234
11.5
00-1
3.27
12.
403
0.04
Seed
pre
datio
nM
2d
+ a
* so
wnd
iv/(
b +
sow
ndiv
)11
.123
411
.500
-13.
271
2.40
30.
04
Seed
pre
datio
nL0
bloc
k +
(sow
ndiv
+ fu
ncgr
+ g
rass
+ le
g)^2
18.2
7715
3.06
79.
446
25.1
210.
00
Seed
pre
datio
nPa
5so
wnd
iv^c
-2.7
432
23.0
009.
765
25.4
400.
00
Seed
pre
datio
nE6
exp(
c *
sow
ndiv
)-3
.969
223
.000
12.2
1827
.892
0.00
Seed
pre
datio
nE5
b *
exp(
sow
ndiv
)-4
2.90
62
23.0
0090
.092
105.
767
0.00
Seed
pre
datio
nE4
a +
exp(
sow
ndiv
)-7
65.5
642
23.0
0015
35.4
0715
51.0
810.
00
Supplementary Table 2 (continued)
SUPPLEMENTARY INFORMATIONRESEARCHdoi:10.1038/nature09492
WWW NATURE.COM/NATURE | 86
Long
var
iabl
e na
me
mod
el n
ame
mod
el fo
rmul
aLL
KN
2KA
ICc
delt
AIC
cw
_ic
Path
ogen
infe
ctio
nL0
21bl
ock
+ (s
ownd
iv +
func
gr +
gra
ss +
leg)
^275
.283
165.
125
-110
.197
0.00
01.
00
Path
ogen
infe
ctio
nPn
1821
a +
sow
ndiv
^c40
.701
613
.667
-68.
282
41.9
150.
00
Path
ogen
infe
ctio
nPn
1921
b *
sow
ndiv
^c40
.362
613
.667
-67.
604
42.5
940.
00
Path
ogen
infe
ctio
nPp
2421
b *
sow
ndiv
^c41
.321
810
.250
-64.
668
45.5
290.
00
Path
ogen
infe
ctio
nPr
3321
a +
sow
ndiv
^c40
.941
810
.250
-63.
910
46.2
870.
00
Path
ogen
infe
ctio
nPp
2321
a +
sow
ndiv
^c40
.747
810
.250
-63.
521
46.6
760.
00
Path
ogen
infe
ctio
nPr
3421
b *
sow
ndiv
^c40
.721
810
.250
-63.
470
46.7
270.
00
Path
ogen
infe
ctio
nPp
2221
a +
b *
sow
ndiv
40.5
618
10.2
50-6
3.14
947
.049
0.00
Path
ogen
infe
ctio
nEa
911
a +
exp(
c *
sow
ndiv
)37
.106
613
.667
-61.
092
49.1
060.
00
Path
ogen
infe
ctio
nPs
3921
b *
sow
ndiv
^c41
.769
108.
200
-60.
440
49.7
570.
00
Path
ogen
infe
ctio
nPs
3821
a +
sow
ndiv
^c41
.671
108.
200
-60.
244
49.9
530.
00
Path
ogen
infe
ctio
nM
1121
d +
a *
sow
ndiv
/(b
+ so
wnd
iv)
38.5
548
10.2
50-5
9.13
551
.062
0.00
Path
ogen
infe
ctio
nPc
421
b *
sow
ndiv
^c33
.704
420
.500
-58.
889
51.3
080.
00
Path
ogen
infe
ctio
nPs
3721
a +
b *
sow
ndiv
40.9
4810
8.20
0-5
8.79
751
.400
0.00
Path
ogen
infe
ctio
nPe
821
a +
sow
ndiv
^c35
.419
613
.667
-57.
717
52.4
800.
00
Path
ogen
infe
ctio
nM
1221
d +
a *
sow
ndiv
/(b
+ so
wnd
iv)
37.7
498
10.2
50-5
7.52
652
.671
0.00
Path
ogen
infe
ctio
nPc
321
a +
sow
ndiv
^c32
.801
420
.500
-57.
083
53.1
140.
00
Path
ogen
infe
ctio
nPe
921
b *
sow
ndiv
^c34
.787
613
.667
-56.
454
53.7
430.
00
Path
ogen
infe
ctio
nPm
1321
a +
sow
ndiv
^c34
.370
613
.667
-55.
620
54.5
770.
00
Path
ogen
infe
ctio
nM
1421
d +
a *
sow
ndiv
/(b
+ so
wnd
iv)
40.3
9211
7.45
5-5
5.01
355
.184
0.00
Path
ogen
infe
ctio
nPm
1421
b *
sow
ndiv
^c33
.980
613
.667
-54.
839
55.3
580.
00
Path
ogen
infe
ctio
nPq
2821
a +
sow
ndiv
^c36
.326
810
.250
-54.
680
55.5
180.
00
Path
ogen
infe
ctio
nPe
721
a +
b *
sow
ndiv
33.7
826
13.6
67-5
4.44
555
.752
0.00
Path
ogen
infe
ctio
nPn
1931
b *
sow
ndiv
^c33
.547
613
.667
-53.
975
56.2
230.
00
Path
ogen
infe
ctio
nPq
2921
b *
sow
ndiv
^c35
.867
810
.250
-53.
762
56.4
350.
00
Path
ogen
infe
ctio
nPn
2021
sow
ndiv
^c30
.358
420
.500
-52.
197
58.0
000.
00
Path
ogen
infe
ctio
nPq
2721
a +
b *
sow
ndiv
35.0
438
10.2
50-5
2.11
258
.085
0.00
Path
ogen
infe
ctio
nPn
1831
a +
sow
ndiv
^c32
.524
613
.667
-51.
928
58.2
690.
00
Path
ogen
infe
ctio
nPp
2431
b *
sow
ndiv
^c34
.308
810
.250
-50.
643
59.5
550.
00
Path
ogen
infe
ctio
nPr
3431
b *
sow
ndiv
^c34
.290
810
.250
-50.
607
59.5
900.
00
Path
ogen
infe
ctio
nPr
3331
a +
sow
ndiv
^c34
.182
810
.250
-50.
392
59.8
050.
00
Path
ogen
infe
ctio
nPp
2521
sow
ndiv
^c30
.497
516
.400
-50.
205
59.9
920.
00
Path
ogen
infe
ctio
nEa
921
a +
exp(
c *
sow
ndiv
)31
.598
613
.667
-50.
077
60.1
200.
00
Supplementary Table 2 (continued)
SUPPLEMENTARY INFORMATIONRESEARCHdoi:10.1038/nature09492
WWW NATURE.COM/NATURE | 87
Long
var
iabl
e na
me
mod
el n
ame
mod
el fo
rmul
aLL
KN
2KA
ICc
delt
AIC
cw
_ic
Path
ogen
infe
ctio
nPr
3521
sow
ndiv
^c30
.370
516
.400
-49.
951
60.2
460.
00
Path
ogen
infe
ctio
nPr
3221
a +
b *
sow
ndiv
33.9
078
10.2
50-4
9.84
260
.355
0.00
Path
ogen
infe
ctio
nPp
2331
a +
sow
ndiv
^c33
.676
810
.250
-49.
380
60.8
170.
00
Path
ogen
infe
ctio
nPs
4021
sow
ndiv
^c30
.962
613
.667
-48.
805
61.3
920.
00
Path
ogen
infe
ctio
nL0
11bl
ock
+ (s
ownd
iv +
func
gr +
gra
ss +
leg)
^244
.572
165.
125
-48.
775
61.4
220.
00
Path
ogen
infe
ctio
nEb
1511
a +
exp(
c *
sow
ndiv
)30
.925
613
.667
-48.
731
61.4
670.
00
Path
ogen
infe
ctio
nPm
1221
a +
b *
sow
ndiv
30.7
296
13.6
67-4
8.33
861
.859
0.00
Path
ogen
infe
ctio
nPp
2231
a +
b *
sow
ndiv
32.3
038
10.2
50-4
6.63
463
.563
0.00
Path
ogen
infe
ctio
nPe
1021
sow
ndiv
^c27
.528
420
.500
-46.
536
63.6
610.
00
Path
ogen
infe
ctio
nPs
3931
b *
sow
ndiv
^c34
.761
108.
200
-46.
424
63.7
730.
00
Path
ogen
infe
ctio
nPc
521
sow
ndiv
^c26
.032
327
.333
-45.
757
64.4
400.
00
Path
ogen
infe
ctio
nPs
3831
a +
sow
ndiv
^c34
.280
108.
200
-45.
461
64.7
360.
00
Path
ogen
infe
ctio
nEf
3921
a +
exp(
c *
sow
ndiv
)31
.632
810
.250
-45.
292
64.9
050.
00
Path
ogen
infe
ctio
nPq
3021
sow
ndiv
^c27
.839
516
.400
-44.
888
65.3
090.
00
Path
ogen
infe
ctio
nPm
1521
sow
ndiv
^c26
.078
420
.500
-43.
637
66.5
600.
00
Path
ogen
infe
ctio
nPc
331
a +
sow
ndiv
^c25
.683
420
.500
-42.
847
67.3
500.
00
Path
ogen
infe
ctio
nPs
3731
a +
b *
sow
ndiv
32.9
3710
8.20
0-4
2.77
667
.421
0.00
Path
ogen
infe
ctio
nPc
431
b *
sow
ndiv
^c24
.561
420
.500
-40.
603
69.5
940.
00
Path
ogen
infe
ctio
nPe
831
a +
sow
ndiv
^c26
.793
613
.667
-40.
466
69.7
310.
00
Path
ogen
infe
ctio
nPe
931
b *
sow
ndiv
^c26
.500
613
.667
-39.
881
70.3
160.
00
Path
ogen
infe
ctio
nM
611
a *
sow
ndiv
/(b
+ so
wnd
iv)
28.7
568
10.2
50-3
9.54
070
.658
0.00
Path
ogen
infe
ctio
nPm
1331
a +
sow
ndiv
^c26
.197
613
.667
-39.
274
70.9
230.
00
Path
ogen
infe
ctio
nEc
2121
a +
exp(
c *
sow
ndiv
)25
.890
613
.667
-38.
659
71.5
380.
00
Path
ogen
infe
ctio
nPe
731
a +
b *
sow
ndiv
25.6
506
13.6
67-3
8.17
972
.018
0.00
Path
ogen
infe
ctio
nM
1132
d +
a *
sow
ndiv
/(b
+ so
wnd
iv)
27.9
888
10.2
50-3
8.00
472
.193
0.00
Path
ogen
infe
ctio
nM
1232
d +
a *
sow
ndiv
/(b
+ so
wnd
iv)
27.9
318
10.2
50-3
7.89
072
.307
0.00
Path
ogen
infe
ctio
nPm
1431
b *
sow
ndiv
^c25
.263
613
.667
-37.
406
72.7
910.
00
Path
ogen
infe
ctio
nM
511
a *
sow
ndiv
/(b
+ so
wnd
iv)
25.2
516
13.6
67-3
7.38
372
.815
0.00
Path
ogen
infe
ctio
nPn
1721
a +
b *
sow
ndiv
24.8
726
13.6
67-3
6.62
573
.573
0.00
Path
ogen
infe
ctio
nPq
2831
a +
sow
ndiv
^c27
.265
810
.250
-36.
558
73.6
390.
00
Path
ogen
infe
ctio
nPq
2931
b *
sow
ndiv
^c27
.138
810
.250
-36.
303
73.8
940.
00
Path
ogen
infe
ctio
nM
921
a *
sow
ndiv
/(b
+ so
wnd
iv)
29.6
5810
8.20
0-3
6.21
773
.980
0.00
Path
ogen
infe
ctio
nM
622
a *
sow
ndiv
/(b
+ so
wnd
iv)
26.4
728
10.2
50-3
4.97
175
.226
0.00
Supplementary Table 2 (continued)
SUPPLEMENTARY INFORMATIONRESEARCHdoi:10.1038/nature09492
WWW NATURE.COM/NATURE | 88
Long
var
iabl
e na
me
mod
el n
ame
mod
el fo
rmul
aLL
KN
2KA
ICc
delt
AIC
cw
_ic
Path
ogen
infe
ctio
nPq
2731
a +
b *
sow
ndiv
26.2
718
10.2
50-3
4.56
975
.628
0.00
Path
ogen
infe
ctio
nEb
1521
a +
exp(
c *
sow
ndiv
)23
.337
613
.667
-33.
555
76.6
430.
00
Path
ogen
infe
ctio
nM
711
a *
sow
ndiv
/(b
+ so
wnd
iv)
25.7
068
10.2
50-3
3.43
976
.758
0.00
Path
ogen
infe
ctio
nPm
1231
a +
b *
sow
ndiv
23.1
046
13.6
67-3
3.08
777
.110
0.00
Path
ogen
infe
ctio
nL2
11so
wnd
iv +
func
gr +
leg
23.0
146
13.6
67-3
2.90
877
.289
0.00
Path
ogen
infe
ctio
nPr
3231
a +
b *
sow
ndiv
25.2
618
10.2
50-3
2.55
077
.647
0.00
Path
ogen
infe
ctio
nM
932
a *
sow
ndiv
/(b
+ so
wnd
iv)
27.6
9810
8.20
0-3
2.29
777
.900
0.00
Path
ogen
infe
ctio
nM
1432
d +
a *
sow
ndiv
/(b
+ so
wnd
iv)
29.0
2411
7.45
5-3
2.27
777
.920
0.00
Path
ogen
infe
ctio
nE3
1a
+ ex
p(c
* so
wnd
iv)
20.3
384
20.5
00-3
2.15
778
.040
0.00
Path
ogen
infe
ctio
nPc
221
a +
b *
sow
ndiv
19.8
504
20.5
00-3
1.18
079
.017
0.00
Path
ogen
infe
ctio
nM
522
a *
sow
ndiv
/(b
+ so
wnd
iv)
21.6
786
13.6
67-3
0.23
679
.962
0.00
Path
ogen
infe
ctio
nM
821
a *
sow
ndiv
/(b
+ so
wnd
iv)
22.5
388
10.2
50-2
7.10
483
.093
0.00
Path
ogen
infe
ctio
nL2
22so
wnd
iv +
func
gr +
leg
19.6
436
13.6
67-2
6.16
684
.031
0.00
Path
ogen
infe
ctio
nEa
121
exp(
c *
sow
ndiv
)17
.244
420
.500
-25.
969
84.2
280.
00
Path
ogen
infe
ctio
nM
722
a *
sow
ndiv
/(b
+ so
wnd
iv)
21.9
358
10.2
50-2
5.89
784
.300
0.00
Path
ogen
infe
ctio
nPn
1731
a +
b *
sow
ndiv
18.9
716
13.6
67-2
4.82
185
.376
0.00
Path
ogen
infe
ctio
nEf
4211
exp(
c *
sow
ndiv
)17
.249
516
.400
-23.
709
86.4
880.
00
Path
ogen
infe
ctio
nE3
2a
+ ex
p(c
* so
wnd
iv)
15.6
354
20.5
00-2
2.75
087
.447
0.00
Path
ogen
infe
ctio
nM
832
a *
sow
ndiv
/(b
+ so
wnd
iv)
20.3
378
10.2
50-2
2.70
287
.495
0.00
Path
ogen
infe
ctio
nPc
231
a +
b *
sow
ndiv
15.0
274
20.5
00-2
1.53
488
.663
0.00
Path
ogen
infe
ctio
nL2
1so
wnd
iv +
func
gr +
leg
16.8
976
13.6
67-2
0.67
389
.524
0.00
Path
ogen
infe
ctio
nPg
181
a +
sow
ndiv
^c15
.187
516
.400
-19.
584
90.6
130.
00
Path
ogen
infe
ctio
nPg
191
b *
sow
ndiv
^c14
.896
516
.400
-19.
002
91.1
960.
00
Path
ogen
infe
ctio
nM
311
a *
sow
ndiv
/(b
+ so
wnd
iv)
16.0
506
13.6
67-1
8.98
191
.217
0.00
Path
ogen
infe
ctio
nL2
2so
wnd
iv +
func
gr +
leg
15.9
256
13.6
67-1
8.72
991
.468
0.00
Path
ogen
infe
ctio
nM
411
a *
sow
ndiv
/(b
+ so
wnd
iv)
15.8
326
13.6
67-1
8.54
591
.652
0.00
Path
ogen
infe
ctio
nPh
241
b *
sow
ndiv
^c16
.305
711
.714
-17.
096
93.1
010.
00
Path
ogen
infe
ctio
nPj
341
b *
sow
ndiv
^c15
.805
711
.714
-16.
097
94.1
000.
00
Path
ogen
infe
ctio
nM
101
d +
a *
sow
ndiv
/(b
+ so
wnd
iv)
15.6
317
11.7
14-1
5.74
894
.449
0.00
Path
ogen
infe
ctio
nPj
331
a +
sow
ndiv
^c15
.625
711
.714
-15.
736
94.4
610.
00
Path
ogen
infe
ctio
nEc
2411
exp(
c *
sow
ndiv
)12
.014
420
.500
-15.
509
94.6
880.
00
Path
ogen
infe
ctio
nPh
231
a +
sow
ndiv
^c15
.301
711
.714
-15.
088
95.1
090.
00
Path
ogen
infe
ctio
nE6
1ex
p(c
* so
wnd
iv)
10.4
653
27.3
33-1
4.62
395
.574
0.00
Supplementary Table 2 (continued)
SUPPLEMENTARY INFORMATIONRESEARCHdoi:10.1038/nature09492
WWW NATURE.COM/NATURE | 89
Long
var
iabl
e na
me
mod
el n
ame
mod
el fo
rmul
aLL
KN
2KA
ICc
delt
AIC
cw
_ic
Path
ogen
infe
ctio
nPk
391
b *
sow
ndiv
^c16
.812
99.
111
-13.
124
97.0
730.
00
Path
ogen
infe
ctio
nEb
1811
exp(
c *
sow
ndiv
)10
.468
420
.500
-12.
416
97.7
810.
00
Path
ogen
infe
ctio
nE2
2a
+ b
* ex
p(so
wnd
iv)
10.2
744
20.5
00-1
2.02
898
.169
0.00
Path
ogen
infe
ctio
nPk
381
a +
sow
ndiv
^c16
.002
99.
111
-11.
504
98.6
930.
00
Path
ogen
infe
ctio
nEa
1221
exp(
c *
sow
ndiv
)9.
960
420
.500
-11.
401
98.7
960.
00
Path
ogen
infe
ctio
nPh
221
a +
b *
sow
ndiv
13.2
547
11.7
14-1
0.99
499
.203
0.00
Path
ogen
infe
ctio
nM
151
d +
a *
sow
ndiv
/(b
+ so
wnd
iv)
16.3
7610
8.20
0-9
.654
100.
543
0.00
Path
ogen
infe
ctio
nEf
4221
exp(
c *
sow
ndiv
)10
.073
516
.400
-9.3
5610
0.84
10.
00
Path
ogen
infe
ctio
nM
6a
* so
wnd
iv/(
b +
sow
ndiv
)12
.411
711
.714
-9.3
0910
0.88
80.
00
Path
ogen
infe
ctio
nEd
3021
exp(
c *
sow
ndiv
)10
.002
516
.400
-9.2
1510
0.98
20.
00
Path
ogen
infe
ctio
nM
161
d +
a *
sow
ndiv
/(b
+ so
wnd
iv)
20.1
5413
6.30
8-8
.955
101.
242
0.00
Path
ogen
infe
ctio
nM
422
a *
sow
ndiv
/(b
+ so
wnd
iv)
10.7
376
13.6
67-8
.353
101.
844
0.00
Path
ogen
infe
ctio
nPk
371
a +
b *
sow
ndiv
14.0
549
9.11
1-7
.608
102.
589
0.00
Path
ogen
infe
ctio
nM
321
a *
sow
ndiv
/(b
+ so
wnd
iv)
9.85
46
13.6
67-6
.587
103.
610
0.00
Path
ogen
infe
ctio
nPa
3a
+ so
wnd
iv^c
5.97
33
27.3
33-5
.639
104.
559
0.00
Path
ogen
infe
ctio
nPb
31a
+ so
wnd
iv^c
5.97
33
27.3
33-5
.639
104.
559
0.00
Path
ogen
infe
ctio
nM
3a
* so
wnd
iv/(
b +
sow
ndiv
)8.
073
516
.400
-5.3
5610
4.84
10.
00
Path
ogen
infe
ctio
nAS
1SS
asym
p(so
wnd
iv, A
sym
, R0,
lrc)
6.87
04
20.5
00-5
.221
104.
976
0.00
Path
ogen
infe
ctio
nM
2d
+ a
* so
wnd
iv/(
b +
sow
ndiv
)6.
683
420
.500
-4.8
4610
5.35
10.
00
Path
ogen
infe
ctio
nM
81a
* so
wnd
iv/(
b +
sow
ndiv
)10
.018
711
.714
-4.5
2210
5.67
50.
00
Path
ogen
infe
ctio
nPa
4b
* so
wnd
iv^c
5.27
83
27.3
33-4
.247
105.
950
0.00
Path
ogen
infe
ctio
nPb
41b
* so
wnd
iv^c
5.27
83
27.3
33-4
.247
105.
950
0.00
Path
ogen
infe
ctio
nPb
11a
+ b
* so
wnd
iv^c
6.15
54
20.5
00-3
.791
106.
406
0.00
Path
ogen
infe
ctio
nL2
sow
ndiv
+ fu
ncgr
+ le
g6.
919
516
.400
-3.0
4910
7.14
80.
00
Path
ogen
infe
ctio
nPd
91b
* so
wnd
iv^c
6.65
25
16.4
00-2
.515
107.
682
0.00
Path
ogen
infe
ctio
nPd
81a
+ so
wnd
iv^c
6.64
55
16.4
00-2
.501
107.
696
0.00
Path
ogen
infe
ctio
nPf
131
a +
sow
ndiv
^c6.
268
516
.400
-1.7
4610
8.45
10.
00
Path
ogen
infe
ctio
nPf
141
b *
sow
ndiv
^c5.
673
516
.400
-0.5
5710
9.64
00.
00
Path
ogen
infe
ctio
nPd
71a
+ b
* so
wnd
iv5.
597
516
.400
-0.4
0410
9.79
30.
00
Path
ogen
infe
ctio
nL0
bloc
k +
(sow
ndiv
+ fu
ncgr
+ g
rass
+ le
g)^2
18.5
2715
5.46
70.
219
110.
416
0.00
Path
ogen
infe
ctio
nPn
2031
sow
ndiv
^c3.
933
420
.500
0.65
411
0.85
10.
00
Path
ogen
infe
ctio
nPi
291
b *
sow
ndiv
^c7.
348
711
.714
0.81
711
1.01
40.
00
Path
ogen
infe
ctio
nM
111
d +
a *
sow
ndiv
/(b
+ so
wnd
iv)
7.24
27
11.7
141.
029
111.
226
0.00
Supplementary Table 2 (continued)
SUPPLEMENTARY INFORMATIONRESEARCHdoi:10.1038/nature09492
WWW NATURE.COM/NATURE | 90
Long
var
iabl
e na
me
mod
el n
ame
mod
el fo
rmul
aLL
KN
2KA
ICc
delt
AIC
cw
_ic
Path
ogen
infe
ctio
nM
121
d +
a *
sow
ndiv
/(b
+ so
wnd
iv)
7.24
27
11.7
141.
030
111.
227
0.00
Path
ogen
infe
ctio
nPi
281
a +
sow
ndiv
^c7.
224
711
.714
1.06
511
1.26
20.
00
Path
ogen
infe
ctio
nPj
321
a +
b *
sow
ndiv
7.22
27
11.7
141.
069
111.
266
0.00
Path
ogen
infe
ctio
nM
5a
* so
wnd
iv/(
b +
sow
ndiv
)4.
745
516
.400
1.29
911
1.49
60.
00
Path
ogen
infe
ctio
nEc
2421
exp(
c *
sow
ndiv
)3.
570
420
.500
1.37
911
1.57
70.
00
Path
ogen
infe
ctio
nEa
12ex
p(c
* so
wnd
iv)
2.36
73
27.3
331.
574
111.
771
0.00
Path
ogen
infe
ctio
nPf
121
a +
b *
sow
ndiv
4.47
25
16.4
001.
845
112.
042
0.00
Path
ogen
infe
ctio
nPe
1031
sow
ndiv
^c2.
939
420
.500
2.64
111
2.83
80.
00
Path
ogen
infe
ctio
nPd
61a
+ b
* so
wnd
iv^c
6.36
27
11.7
142.
789
112.
986
0.00
Path
ogen
infe
ctio
nPr
3531
sow
ndiv
^c3.
963
516
.400
2.86
311
3.06
00.
00
Path
ogen
infe
ctio
nPp
2531
sow
ndiv
^c3.
934
516
.400
2.92
211
3.11
90.
00
Path
ogen
infe
ctio
nPi
271
a +
b *
sow
ndiv
6.17
97
11.7
143.
155
113.
352
0.00
Path
ogen
infe
ctio
nPg
171
a +
b *
sow
ndiv
3.78
15
16.4
003.
227
113.
425
0.00
Path
ogen
infe
ctio
nPc
531
sow
ndiv
^c1.
501
327
.333
3.30
711
3.50
40.
00
Path
ogen
infe
ctio
nPq
3031
sow
ndiv
^c3.
040
516
.400
4.71
011
4.90
70.
00
Path
ogen
infe
ctio
nPm
1531
sow
ndiv
^c1.
865
420
.500
4.79
011
4.98
70.
00
Path
ogen
infe
ctio
nPs
4031
sow
ndiv
^c4.
085
613
.667
4.95
111
5.14
80.
00
Path
ogen
infe
ctio
nM
7a
* so
wnd
iv/(
b +
sow
ndiv
)5.
081
711
.714
5.35
111
5.54
80.
00
Path
ogen
infe
ctio
nPb
21a
+ b
* so
wnd
iv0.
410
327
.333
5.48
711
5.68
40.
00
Path
ogen
infe
ctio
nPa
2a
+ b
* so
wnd
iv0.
410
327
.333
5.48
711
5.68
40.
00
Path
ogen
infe
ctio
nM
1a
* so
wnd
iv/(
b +
sow
ndiv
)0.
260
327
.333
5.78
811
5.98
50.
00
Path
ogen
infe
ctio
nM
1aSS
mic
men
(sow
ndiv
, Vm
, k)
0.26
03
27.3
335.
788
115.
985
0.00
Path
ogen
infe
ctio
nE6
2ex
p(c
* so
wnd
iv)
-0.3
313
27.3
336.
970
117.
167
0.00
Path
ogen
infe
ctio
nM
4a
* so
wnd
iv/(
b +
sow
ndiv
)1.
345
516
.400
8.10
011
8.29
70.
00
Path
ogen
infe
ctio
nEb
1821
exp(
c *
sow
ndiv
)0.
004
420
.500
8.51
111
8.70
80.
00
Path
ogen
infe
ctio
nE2
a +
b *
exp(
sow
ndiv
)-4
.382
327
.333
15.0
7112
5.26
80.
00
Path
ogen
infe
ctio
nEc
24ex
p(c
* so
wnd
iv)
-4.5
153
27.3
3315
.338
125.
535
0.00
Path
ogen
infe
ctio
nEb
18ex
p(c
* so
wnd
iv)
-8.3
133
27.3
3322
.933
133.
130
0.00
Path
ogen
infe
ctio
nPg
201
sow
ndiv
^c-2
2.79
53
27.3
3351
.897
162.
094
0.00
Path
ogen
infe
ctio
nPb
51so
wnd
iv^c
-24.
119
241
.000
52.3
8916
2.58
60.
00
Path
ogen
infe
ctio
nPa
5so
wnd
iv^c
-24.
119
241
.000
52.3
8916
2.58
60.
00
Path
ogen
infe
ctio
nE5
2b
* ex
p(so
wnd
iv)
-23.
229
327
.333
52.7
6616
2.96
40.
00
Path
ogen
infe
ctio
nPd
101
sow
ndiv
^c-2
3.76
43
27.3
3353
.836
164.
033
0.00
Supplementary Table 2 (continued)
SUPPLEMENTARY INFORMATIONRESEARCHdoi:10.1038/nature09492
WWW NATURE.COM/NATURE | 91
Long
var
iabl
e na
me
mod
el n
ame
mod
el fo
rmul
aLL
KN
2KA
ICc
delt
AIC
cw
_ic
Path
ogen
infe
ctio
nPh
251
sow
ndiv
^c-2
2.74
64
20.5
0054
.012
164.
209
0.00
Path
ogen
infe
ctio
nPj
351
sow
ndiv
^c-2
2.79
14
20.5
0054
.102
164.
299
0.00
Path
ogen
infe
ctio
nPf
151
sow
ndiv
^c-2
4.11
93
27.3
3354
.545
164.
742
0.00
Path
ogen
infe
ctio
nPi
301
sow
ndiv
^c-2
3.64
34
20.5
0055
.805
166.
002
0.00
Path
ogen
infe
ctio
nPk
401
sow
ndiv
^c-2
2.60
45
16.4
0055
.997
166.
194
0.00
Path
ogen
infe
ctio
nE5
1b
* ex
p(so
wnd
iv)
-26.
121
327
.333
58.5
5016
8.74
70.
00
Path
ogen
infe
ctio
nM
91a
* so
wnd
iv/(
b +
sow
ndiv
)-3
0.72
99
9.11
181
.958
192.
156
0.00
Path
ogen
infe
ctio
nE5
b *
exp(
sow
ndiv
)-4
5.55
52
41.0
0095
.262
205.
459
0.00
Path
ogen
infe
ctio
nEc
2221
a +
exp(
sow
ndiv
)-7
94.9
174
20.5
0015
98.3
5417
08.5
510.
00
Path
ogen
infe
ctio
nEd
2821
a +
exp(
sow
ndiv
)-7
94.8
015
16.4
0016
00.3
9117
10.5
880.
00
Path
ogen
infe
ctio
nEe
342
a +
exp(
sow
ndiv
)-7
94.9
135
16.4
0016
00.6
1517
10.8
120.
00
Path
ogen
infe
ctio
nEg
4621
a +
exp(
sow
ndiv
)-7
94.7
966
13.6
6716
02.7
1217
12.9
090.
00
Path
ogen
infe
ctio
nE4
2a
+ ex
p(so
wnd
iv)
-801
.579
327
.333
1609
.465
1719
.662
0.00
Path
ogen
infe
ctio
nEb
1621
a +
exp(
sow
ndiv
)-8
01.4
184
20.5
0016
11.3
5517
21.5
520.
00
Path
ogen
infe
ctio
nEa
1021
a +
exp(
sow
ndiv
)-8
01.5
774
20.5
0016
11.6
7317
21.8
700.
00
Path
ogen
infe
ctio
nEf
4021
a +
exp(
sow
ndiv
)-8
01.3
765
16.4
0016
13.5
4217
23.7
390.
00
Path
ogen
infe
ctio
nEa
1011
a +
exp(
sow
ndiv
)-1
772.
911
420
.500
3554
.342
3664
.539
0.00
Path
ogen
infe
ctio
nEf
4011
a +
exp(
sow
ndiv
)-1
772.
553
516
.400
3555
.894
3666
.092
0.00
Path
ogen
infe
ctio
nEd
2811
a +
exp(
sow
ndiv
)-1
772.
911
516
.400
3556
.612
3666
.809
0.00
Path
ogen
infe
ctio
nEg
4611
a +
exp(
sow
ndiv
)-1
772.
553
613
.667
3558
.225
3668
.422
0.00
Path
ogen
infe
ctio
nE4
1a
+ ex
p(so
wnd
iv)
-178
4.91
63
27.3
3335
76.1
4036
86.3
380.
00
Path
ogen
infe
ctio
nEb
1611
a +
exp(
sow
ndiv
)-1
784.
570
420
.500
3577
.659
3687
.856
0.00
Path
ogen
infe
ctio
nEc
2211
a +
exp(
sow
ndiv
)-1
784.
916
420
.500
3578
.352
3688
.549
0.00
Path
ogen
infe
ctio
nEe
341
a +
exp(
sow
ndiv
)-1
784.
570
516
.400
3579
.929
3690
.126
0.00
Path
ogen
infe
ctio
nEf
3721
a +
b *
exp(
c *
sow
ndiv
)-2
734.
132
117.
455
5494
.035
5604
.232
0.00
Path
ogen
infe
ctio
nE4
a +
exp(
sow
ndiv
)-4
912.
516
241
.000
9829
.183
9939
.380
0.00
Path
ogen
infe
ctio
nEa
10a
+ ex
p(so
wnd
iv)
-491
2.51
63
27.3
3398
31.3
3999
41.5
360.
00
Path
ogen
infe
ctio
nEb
16a
+ ex
p(so
wnd
iv)
-491
2.51
63
27.3
3398
31.3
3999
41.5
360.
00
Path
ogen
infe
ctio
nEc
22a
+ ex
p(so
wnd
iv)
-491
2.51
63
27.3
3398
31.3
3999
41.5
360.
00
Path
ogen
infe
ctio
nEd
28a
+ ex
p(so
wnd
iv)
-491
2.51
64
20.5
0098
33.5
5199
43.7
480.
00
Path
ogen
infe
ctio
nEe
40a
+ ex
p(so
wnd
iv)
-491
2.51
64
20.5
0098
33.5
5199
43.7
480.
00
Path
ogen
infe
ctio
nEf
40a
+ ex
p(so
wnd
iv)
-491
2.51
64
20.5
0098
33.5
5199
43.7
480.
00
Path
ogen
infe
ctio
nEg
46a
+ ex
p(so
wnd
iv)
-491
2.51
65
16.4
0098
35.8
2199
46.0
180.
00
Supplementary Table 2 (continued)
SUPPLEMENTARY INFORMATIONRESEARCHdoi:10.1038/nature09492
WWW NATURE.COM/NATURE | 92
Long
var
iabl
e na
me
mod
el n
ame
mod
el fo
rmul
aLL
KN
2KA
ICc
delt
AIC
cw
_ic
Plan
t inv
asio
nPa
4b
* so
wnd
iv^c
35.2
263
26.6
67-6
4.13
60.
000
0.29
Plan
t inv
asio
nPa
3a
+ so
wnd
iv^c
35.0
363
26.6
67-6
3.75
70.
380
0.24
Plan
t inv
asio
nA
S1SS
asym
p(so
wnd
iv, A
sym
, R0,
lrc)
36.0
124
20.0
00-6
3.49
10.
645
0.21
Plan
t inv
asio
nM
2d
+ a
* so
wnd
iv/(
b +
sow
ndiv
)35
.790
420
.000
-63.
047
1.08
90.
17
Plan
t inv
asio
nBI
EXP
SSbi
exp(
sow
ndiv
, A1,
lrc1
, A2,
lrc2
)36
.014
516
.000
-61.
218
2.91
80.
07
Plan
t inv
asio
nM
1a
* so
wnd
iv/(
b +
sow
ndiv
)32
.131
326
.667
-57.
946
6.19
00.
01
Plan
t inv
asio
nM
1aSS
mic
men
(sow
ndiv
, Vm
, k)
32.1
313
26.6
67-5
7.94
66.
190
0.01
Plan
t inv
asio
nPa
2a
+ b
* so
wnd
iv29
.147
326
.667
-51.
978
12.1
590.
00
Plan
t inv
asio
nL2
sow
ndiv
+ fu
ncgr
+ le
g30
.911
516
.000
-51.
012
13.1
250.
00
Plan
t inv
asio
nE2
a +
b *
exp(
sow
ndiv
)26
.742
326
.667
-47.
168
16.9
690.
00
Plan
t inv
asio
nL0
bloc
k +
(sow
ndiv
+ fu
ncgr
+ g
rass
+ le
g)^2
37.8
3515
5.33
3-3
8.17
025
.967
0.00
Plan
t inv
asio
nE5
b *
exp(
sow
ndiv
)13
.224
240
.000
-22.
293
41.8
440.
00
Plan
t inv
asio
nPa
5so
wnd
iv^c
-34.
269
240
.000
72.6
9413
6.83
00.
00
Plan
t inv
asio
nE4
a +
exp(
sow
ndiv
)-4
793.
686
240
.000
9591
.527
9655
.664
0.00
Biot
urba
tion
L22
sow
ndiv
+ fu
ncgr
+ le
g51
.391
613
.667
-89.
662
0.00
00.
54
Biot
urba
tion
L21
sow
ndiv
+ fu
ncgr
+ le
g51
.249
613
.667
-89.
377
0.28
50.
46
Biot
urba
tion
Pg19
1b
* so
wnd
iv^c
33.7
465
16.4
00-5
6.70
332
.958
0.00
Biot
urba
tion
Pg18
1a
+ so
wnd
iv^c
33.6
895
16.4
00-5
6.58
933
.073
0.00
Biot
urba
tion
L2so
wnd
iv +
func
gr +
leg
33.1
805
16.4
00-5
5.57
034
.092
0.00
Biot
urba
tion
M6
a *
sow
ndiv
/(b
+ so
wnd
iv)
35.5
067
11.7
14-5
5.49
934
.162
0.00
Biot
urba
tion
Pg17
1a
+ b
* so
wnd
iv33
.072
516
.400
-55.
355
34.3
060.
00
Biot
urba
tion
Pn18
31a
+ so
wnd
iv^c
34.1
176
13.6
67-5
5.11
434
.547
0.00
Biot
urba
tion
Pn19
31b
* so
wnd
iv^c
34.1
036
13.6
67-5
5.08
734
.575
0.00
Biot
urba
tion
Pn19
21b
* so
wnd
iv^c
33.8
966
13.6
67-5
4.67
134
.990
0.00
Biot
urba
tion
Pn18
21a
+ so
wnd
iv^c
33.8
076
13.6
67-5
4.49
335
.168
0.00
Biot
urba
tion
M61
1a
* so
wnd
iv/(
b +
sow
ndiv
)36
.172
810
.250
-54.
372
35.2
890.
00
Biot
urba
tion
L222
sow
ndiv
+ fu
ncgr
+ le
g33
.556
613
.667
-53.
993
35.6
690.
00
Biot
urba
tion
L211
sow
ndiv
+ fu
ncgr
+ le
g33
.494
613
.667
-53.
868
35.7
930.
00
Biot
urba
tion
Pn17
21a
+ b
* so
wnd
iv33
.471
613
.667
-53.
822
35.8
390.
00
Biot
urba
tion
Ea91
1a
+ ex
p(c
* so
wnd
iv)
33.4
286
13.6
67-5
3.73
635
.925
0.00
Biot
urba
tion
Pn17
31a
+ b
* so
wnd
iv33
.328
613
.667
-53.
536
36.1
250.
00
Biot
urba
tion
M62
2a
* so
wnd
iv/(
b +
sow
ndiv
)35
.594
810
.250
-53.
216
36.4
460.
00
Biot
urba
tion
Pj32
1a
+ b
* so
wnd
iv34
.315
711
.714
-53.
117
36.5
450.
00
Supplementary Table 2 (continued)
SUPPLEMENTARY INFORMATIONRESEARCHdoi:10.1038/nature09492
WWW NATURE.COM/NATURE | 93
Long
var
iabl
e na
me
mod
el n
ame
mod
el fo
rmul
aLL
KN
2KA
ICc
delt
AIC
cw
_ic
Biot
urba
tion
Pj34
1b
* so
wnd
iv^c
34.1
267
11.7
14-5
2.73
936
.923
0.00
Biot
urba
tion
M31
1a
* so
wnd
iv/(
b +
sow
ndiv
)32
.900
613
.667
-52.
680
36.9
810.
00
Biot
urba
tion
Pj33
1a
+ so
wnd
iv^c
34.0
787
11.7
14-5
2.64
237
.020
0.00
Biot
urba
tion
Ea92
1a
+ ex
p(c
* so
wnd
iv)
32.7
746
13.6
67-5
2.42
837
.234
0.00
Biot
urba
tion
Ph23
1a
+ so
wnd
iv^c
33.8
717
11.7
14-5
2.22
837
.433
0.00
Biot
urba
tion
M91
a *
sow
ndiv
/(b
+ so
wnd
iv)
36.3
539
9.11
1-5
2.20
537
.456
0.00
Biot
urba
tion
Ph22
1a
+ b
* so
wnd
iv33
.799
711
.714
-52.
084
37.5
780.
00
Biot
urba
tion
Ph24
1b
* so
wnd
iv^c
33.7
987
11.7
14-5
2.08
237
.580
0.00
Biot
urba
tion
Pr32
31a
+ b
* so
wnd
iv34
.861
810
.250
-51.
749
37.9
130.
00
Biot
urba
tion
Pr34
31b
* so
wnd
iv^c
34.5
998
10.2
50-5
1.22
538
.437
0.00
Biot
urba
tion
M81
a *
sow
ndiv
/(b
+ so
wnd
iv)
33.3
457
11.7
14-5
1.17
738
.484
0.00
Biot
urba
tion
Pr33
31a
+ so
wnd
iv^c
34.4
688
10.2
50-5
0.96
438
.697
0.00
Biot
urba
tion
Pr32
21a
+ b
* so
wnd
iv34
.446
810
.250
-50.
919
38.7
430.
00
Biot
urba
tion
Pp22
31a
+ b
* so
wnd
iv34
.374
810
.250
-50.
776
38.8
850.
00
Biot
urba
tion
Ef39
21a
+ ex
p(c
* so
wnd
iv)
34.2
868
10.2
50-5
0.60
039
.061
0.00
Biot
urba
tion
Pr33
21a
+ so
wnd
iv^c
34.2
608
10.2
50-5
0.54
739
.115
0.00
Biot
urba
tion
Pr34
21b
* so
wnd
iv^c
34.2
568
10.2
50-5
0.53
939
.122
0.00
Biot
urba
tion
Pp24
31b
* so
wnd
iv^c
34.1
708
10.2
50-5
0.36
839
.294
0.00
Biot
urba
tion
Pp23
31a
+ so
wnd
iv^c
34.1
688
10.2
50-5
0.36
339
.298
0.00
Biot
urba
tion
Pp23
21a
+ so
wnd
iv^c
34.1
288
10.2
50-5
0.28
339
.378
0.00
Biot
urba
tion
Pp22
21a
+ b
* so
wnd
iv33
.942
810
.250
-49.
912
39.7
490.
00
Biot
urba
tion
M83
2a
* so
wnd
iv/(
b +
sow
ndiv
)33
.928
810
.250
-49.
883
39.7
790.
00
Biot
urba
tion
M93
2a
* so
wnd
iv/(
b +
sow
ndiv
)36
.474
108.
200
-49.
849
39.8
130.
00
Biot
urba
tion
L0bl
ock
+ (s
ownd
iv +
func
gr +
gra
ss +
leg)
^242
.835
155.
467
-48.
397
41.2
640.
00
Biot
urba
tion
Pk37
1a
+ b
* so
wnd
iv34
.366
99.
111
-48.
233
41.4
290.
00
Biot
urba
tion
Pk38
1a
+ so
wnd
iv^c
34.3
219
9.11
1-4
8.14
141
.520
0.00
Biot
urba
tion
Pk39
1b
* so
wnd
iv^c
34.2
359
9.11
1-4
7.97
141
.691
0.00
Biot
urba
tion
L011
bloc
k +
(sow
ndiv
+ fu
ncgr
+ g
rass
+ le
g)^2
43.9
1716
5.12
5-4
7.46
542
.196
0.00
Biot
urba
tion
Ps37
31a
+ b
* so
wnd
iv34
.915
108.
200
-46.
732
42.9
290.
00
Biot
urba
tion
M13
21d
+ a
* so
wnd
iv/(
b +
sow
ndiv
)36
.179
117.
455
-46.
586
43.0
760.
00
Biot
urba
tion
Ps39
31b
* so
wnd
iv^c
34.6
2810
8.20
0-4
6.15
843
.504
0.00
Biot
urba
tion
Ps38
31a
+ so
wnd
iv^c
34.5
9110
8.20
0-4
6.08
443
.577
0.00
Biot
urba
tion
Ps38
21a
+ so
wnd
iv^c
34.5
7010
8.20
0-4
6.04
143
.620
0.00
Supplementary Table 2 (continued)
SUPPLEMENTARY INFORMATIONRESEARCHdoi:10.1038/nature09492
WWW NATURE.COM/NATURE | 94
Long
var
iabl
e na
me
mod
el n
ame
mod
el fo
rmul
aLL
KN
2KA
ICc
delt
AIC
cw
_ic
Biot
urba
tion
Ps37
21a
+ b
* so
wnd
iv34
.499
108.
200
-45.
899
43.7
630.
00
Biot
urba
tion
Ps39
21b
* so
wnd
iv^c
34.4
2410
8.20
0-4
5.75
043
.912
0.00
Biot
urba
tion
L021
bloc
k +
(sow
ndiv
+ fu
ncgr
+ g
rass
+ le
g)^2
43.0
3116
5.12
5-4
5.69
443
.968
0.00
Biot
urba
tion
M5
a *
sow
ndiv
/(b
+ so
wnd
iv)
27.5
535
16.4
00-4
4.31
745
.344
0.00
Biot
urba
tion
Pd81
a +
sow
ndiv
^c27
.499
516
.400
-44.
209
45.4
520.
00
Biot
urba
tion
Pd91
b *
sow
ndiv
^c27
.287
516
.400
-43.
785
45.8
770.
00
Biot
urba
tion
Pi29
1b
* so
wnd
iv^c
29.3
527
11.7
14-4
3.19
046
.471
0.00
Biot
urba
tion
Pd71
a +
b *
sow
ndiv
26.9
385
16.4
00-4
3.08
646
.576
0.00
Biot
urba
tion
M52
2a
* so
wnd
iv/(
b +
sow
ndiv
)27
.886
613
.667
-42.
652
47.0
100.
00
Biot
urba
tion
Pq29
31b
* so
wnd
iv^c
30.2
238
10.2
50-4
2.47
347
.189
0.00
Biot
urba
tion
M7
a *
sow
ndiv
/(b
+ so
wnd
iv)
28.9
747
11.7
14-4
2.43
447
.227
0.00
Biot
urba
tion
Pe83
1a
+ so
wnd
iv^c
27.7
106
13.6
67-4
2.30
047
.361
0.00
Biot
urba
tion
Pe82
1a
+ so
wnd
iv^c
27.6
836
13.6
67-4
2.24
747
.415
0.00
Biot
urba
tion
M51
1a
* so
wnd
iv/(
b +
sow
ndiv
)27
.665
613
.667
-42.
211
47.4
510.
00
Biot
urba
tion
Pe93
1b
* so
wnd
iv^c
27.5
756
13.6
67-4
2.03
147
.631
0.00
Biot
urba
tion
Pe92
1b
* so
wnd
iv^c
27.4
616
13.6
67-4
1.80
347
.859
0.00
Biot
urba
tion
Pi28
1a
+ so
wnd
iv^c
28.6
057
11.7
14-4
1.69
647
.966
0.00
Biot
urba
tion
Pa4
b *
sow
ndiv
^c23
.999
327
.333
-41.
691
47.9
710.
00
Biot
urba
tion
Pb41
b *
sow
ndiv
^c23
.999
327
.333
-41.
691
47.9
710.
00
Biot
urba
tion
Pe73
1a
+ b
* so
wnd
iv27
.306
613
.667
-41.
493
48.1
690.
00
Biot
urba
tion
Ec21
21a
+ ex
p(c
* so
wnd
iv)
27.3
046
13.6
67-4
1.48
748
.174
0.00
Biot
urba
tion
Pa3
a +
sow
ndiv
^c23
.847
327
.333
-41.
386
48.2
760.
00
Biot
urba
tion
Pb31
a +
sow
ndiv
^c23
.847
327
.333
-41.
386
48.2
760.
00
Biot
urba
tion
Pi27
1a
+ b
* so
wnd
iv28
.428
711
.714
-41.
343
48.3
180.
00
Biot
urba
tion
M12
1d
+ a
* so
wnd
iv/(
b +
sow
ndiv
)28
.340
711
.714
-41.
166
48.4
950.
00
Biot
urba
tion
Pe72
1a
+ b
* so
wnd
iv27
.103
613
.667
-41.
086
48.5
760.
00
Biot
urba
tion
LG2
SSlo
gis(
sow
ndiv
, Asy
m, x
mid
, sca
l)24
.773
420
.500
-41.
027
48.6
350.
00
Biot
urba
tion
Pq29
21b
* so
wnd
iv^c
29.3
568
10.2
50-4
0.73
948
.923
0.00
Biot
urba
tion
M72
2a
* so
wnd
iv/(
b +
sow
ndiv
)29
.351
810
.250
-40.
729
48.9
330.
00
Biot
urba
tion
M1a
SSm
icm
en(s
ownd
iv, V
m, k
)23
.445
327
.333
-40.
583
49.0
790.
00
Biot
urba
tion
M1
a *
sow
ndiv
/(b
+ so
wnd
iv)
23.4
453
27.3
33-4
0.58
349
.079
0.00
Biot
urba
tion
AS2
SSas
ympO
ff(s
ownd
iv, A
sym
, lrc
, c0)
24.4
314
20.5
00-4
0.34
249
.319
0.00
Biot
urba
tion
AS1
SSas
ymp(
sow
ndiv
, Asy
m, R
0, lr
c)24
.431
420
.500
-40.
342
49.3
190.
00
Supplementary Table 2 (continued)
SUPPLEMENTARY INFORMATIONRESEARCHdoi:10.1038/nature09492
WWW NATURE.COM/NATURE | 95
Long
var
iabl
e na
me
mod
el n
ame
mod
el fo
rmul
aLL
KN
2KA
ICc
delt
AIC
cw
_ic
Biot
urba
tion
LG1
SSfp
l(sow
ndiv
, A, B
, xm
id, s
cal)
25.5
605
16.4
00-4
0.33
049
.332
0.00
Biot
urba
tion
Pc42
1b
* so
wnd
iv^c
24.4
024
20.5
00-4
0.28
549
.376
0.00
Biot
urba
tion
M71
1a
* so
wnd
iv/(
b +
sow
ndiv
)29
.104
810
.250
-40.
235
49.4
270.
00
Biot
urba
tion
Pq27
31a
+ b
* so
wnd
iv29
.051
810
.250
-40.
128
49.5
330.
00
Biot
urba
tion
M2
d +
a *
sow
ndiv
/(b
+ so
wnd
iv)
24.2
774
20.5
00-4
0.03
549
.626
0.00
Biot
urba
tion
Pq28
31a
+ so
wnd
iv^c
28.9
948
10.2
50-4
0.01
649
.646
0.00
Biot
urba
tion
Pc32
1a
+ so
wnd
iv^c
24.2
054
20.5
00-3
9.89
049
.771
0.00
Biot
urba
tion
Pc43
1b
* so
wnd
iv^c
24.1
684
20.5
00-3
9.81
749
.844
0.00
Biot
urba
tion
Pd61
a +
b *
sow
ndiv
^c27
.661
711
.714
-39.
808
49.8
540.
00
Biot
urba
tion
Pc33
1a
+ so
wnd
iv^c
24.1
114
20.5
00-3
9.70
249
.960
0.00
Biot
urba
tion
Pb21
a +
b *
sow
ndiv
22.9
763
27.3
33-3
9.64
550
.017
0.00
Biot
urba
tion
Pa2
a +
b *
sow
ndiv
22.9
763
27.3
33-3
9.64
550
.017
0.00
Biot
urba
tion
AS3
SSas
ympO
rig(s
ownd
iv, A
sym
, lrc
)22
.956
327
.333
-39.
604
50.0
580.
00
Biot
urba
tion
Pa1
a +
b *
sow
ndiv
^c24
.000
420
.500
-39.
481
50.1
800.
00
Biot
urba
tion
Pb11
a +
b *
sow
ndiv
^c24
.000
420
.500
-39.
481
50.1
800.
00
Biot
urba
tion
Pq28
21a
+ so
wnd
iv^c
28.6
828
10.2
50-3
9.39
150
.271
0.00
Biot
urba
tion
M12
32d
+ a
* so
wnd
iv/(
b +
sow
ndiv
)28
.620
810
.250
-39.
268
50.3
940.
00
Biot
urba
tion
M12
21d
+ a
* so
wnd
iv/(
b +
sow
ndiv
)28
.493
810
.250
-39.
014
50.6
470.
00
Biot
urba
tion
Pq27
21a
+ b
* so
wnd
iv28
.478
810
.250
-38.
984
50.6
780.
00
Biot
urba
tion
Pc22
1a
+ b
* so
wnd
iv23
.599
420
.500
-38.
678
50.9
840.
00
Biot
urba
tion
M21
1d
+ a
* so
wnd
iv/(
b +
sow
ndiv
)24
.642
516
.400
-38.
495
51.1
660.
00
Biot
urba
tion
E31
a +
exp(
c *
sow
ndiv
)23
.462
420
.500
-38.
404
51.2
570.
00
Biot
urba
tion
M22
2d
+ a
* so
wnd
iv/(
b +
sow
ndiv
)24
.497
516
.400
-38.
205
51.4
560.
00
Biot
urba
tion
Pc12
1a
+ b
* so
wnd
iv^c
24.4
055
16.4
00-3
8.02
151
.640
0.00
Biot
urba
tion
Pc23
1a
+ b
* so
wnd
iv23
.004
420
.500
-37.
489
52.1
720.
00
Biot
urba
tion
Pf13
1a
+ so
wnd
iv^c
24.0
405
16.4
00-3
7.29
052
.372
0.00
Biot
urba
tion
E32
a +
exp(
c *
sow
ndiv
)22
.878
420
.500
-37.
236
52.4
260.
00
Biot
urba
tion
Pf14
1b
* so
wnd
iv^c
24.0
095
16.4
00-3
7.22
852
.434
0.00
Biot
urba
tion
M4
a *
sow
ndiv
/(b
+ so
wnd
iv)
23.6
485
16.4
00-3
6.50
653
.156
0.00
Biot
urba
tion
Pf12
1a
+ b
* so
wnd
iv23
.611
516
.400
-36.
433
53.2
280.
00
Biot
urba
tion
Pm13
21a
+ so
wnd
iv^c
24.5
526
13.6
67-3
5.98
353
.678
0.00
Biot
urba
tion
E2a
+ b
* ex
p(so
wnd
iv)
21.0
863
27.3
33-3
5.86
553
.797
0.00
Biot
urba
tion
Pm14
21b
* so
wnd
iv^c
24.4
116
13.6
67-3
5.70
253
.959
0.00
Supplementary Table 2 (continued)
SUPPLEMENTARY INFORMATIONRESEARCHdoi:10.1038/nature09492
WWW NATURE.COM/NATURE | 96
Long
var
iabl
e na
me
mod
el n
ame
mod
el fo
rmul
aLL
KN
2KA
ICc
delt
AIC
cw
_ic
Biot
urba
tion
Pm13
31a
+ so
wnd
iv^c
24.2
206
13.6
67-3
5.31
954
.343
0.00
Biot
urba
tion
Pm14
31b
* so
wnd
iv^c
24.2
186
13.6
67-3
5.31
654
.345
0.00
Biot
urba
tion
M14
32d
+ a
* so
wnd
iv/(
b +
sow
ndiv
)30
.418
117.
455
-35.
064
54.5
980.
00
Biot
urba
tion
Pm12
21a
+ b
* so
wnd
iv23
.977
613
.667
-34.
834
54.8
280.
00
Biot
urba
tion
Eb15
11a
+ ex
p(c
* so
wnd
iv)
23.9
416
13.6
67-3
4.76
254
.899
0.00
Biot
urba
tion
M42
2a
* so
wnd
iv/(
b +
sow
ndiv
)23
.871
613
.667
-34.
621
55.0
400.
00
Biot
urba
tion
Pm12
31a
+ b
* so
wnd
iv23
.791
613
.667
-34.
462
55.1
990.
00
Biot
urba
tion
Eb15
21a
+ ex
p(c
* so
wnd
iv)
23.7
826
13.6
67-3
4.44
455
.217
0.00
Biot
urba
tion
E22
a +
b *
exp(
sow
ndiv
)21
.156
420
.500
-33.
793
55.8
690.
00
Biot
urba
tion
Ef42
11ex
p(c
* so
wnd
iv)
21.1
575
16.4
00-3
1.52
458
.137
0.00
Biot
urba
tion
Ef42
21ex
p(c
* so
wnd
iv)
16.3
345
16.4
00-2
1.87
967
.782
0.00
Biot
urba
tion
Ea12
1ex
p(c
* so
wnd
iv)
13.9
144
20.5
00-1
9.30
870
.354
0.00
Biot
urba
tion
Ed30
21ex
p(c
* so
wnd
iv)
15.0
045
16.4
00-1
9.21
970
.443
0.00
Biot
urba
tion
Ec24
11ex
p(c
* so
wnd
iv)
13.1
394
20.5
00-1
7.75
971
.902
0.00
Biot
urba
tion
Ec24
21ex
p(c
* so
wnd
iv)
11.0
484
20.5
00-1
3.57
676
.085
0.00
Biot
urba
tion
Ec24
exp(
c *
sow
ndiv
)7.
669
327
.333
-9.0
3080
.632
0.00
Biot
urba
tion
Ea12
21ex
p(c
* so
wnd
iv)
8.35
54
20.5
00-8
.190
81.4
720.
00
Biot
urba
tion
E61
exp(
c *
sow
ndiv
)6.
736
327
.333
-7.1
6582
.497
0.00
Biot
urba
tion
Eb18
11ex
p(c
* so
wnd
iv)
7.51
34
20.5
00-6
.507
83.1
550.
00
Biot
urba
tion
Ea12
exp(
c *
sow
ndiv
)4.
914
327
.333
-3.5
2186
.141
0.00
Biot
urba
tion
E51
b *
exp(
sow
ndiv
)4.
582
327
.333
-2.8
5786
.805
0.00
Biot
urba
tion
E62
exp(
c *
sow
ndiv
)4.
096
327
.333
-1.8
8587
.777
0.00
Biot
urba
tion
E5b
* ex
p(so
wnd
iv)
2.77
72
41.0
00-1
.401
88.2
600.
00
Biot
urba
tion
Eb18
21ex
p(c
* so
wnd
iv)
4.54
54
20.5
00-0
.571
89.0
910.
00
Biot
urba
tion
E52
b *
exp(
sow
ndiv
)2.
818
327
.333
0.67
190
.332
0.00
Biot
urba
tion
Eb18
exp(
c *
sow
ndiv
)2.
171
327
.333
1.96
591
.627
0.00
Biot
urba
tion
Pp25
21so
wnd
iv^c
-24.
896
516
.400
60.5
8115
0.24
30.
00
Biot
urba
tion
Ps40
21so
wnd
iv^c
-24.
707
613
.667
62.5
3415
2.19
60.
00
Biot
urba
tion
Pr35
21so
wnd
iv^c
-26.
207
516
.400
63.2
0415
2.86
60.
00
Biot
urba
tion
Pq30
21so
wnd
iv^c
-26.
584
516
.400
63.9
5715
3.61
90.
00
Biot
urba
tion
Pe10
21so
wnd
iv^c
-28.
744
420
.500
66.0
0715
5.66
90.
00
Biot
urba
tion
Pn20
21so
wnd
iv^c
-29.
447
420
.500
67.4
1415
7.07
50.
00
Biot
urba
tion
Pm15
21so
wnd
iv^c
-37.
625
420
.500
83.7
7017
3.43
10.
00
Supplementary Table 2 (continued)
SUPPLEMENTARY INFORMATIONRESEARCHdoi:10.1038/nature09492
WWW NATURE.COM/NATURE | 97
Long
var
iabl
e na
me
mod
el n
ame
mod
el fo
rmul
aLL
KN
2KA
ICc
delt
AIC
cw
_ic
Biot
urba
tion
Pe10
31so
wnd
iv^c
-38.
048
420
.500
84.6
1617
4.27
70.
00
Biot
urba
tion
Pp25
31so
wnd
iv^c
-37.
204
516
.400
85.1
9817
4.86
00.
00
Biot
urba
tion
Pq30
31so
wnd
iv^c
-37.
236
516
.400
85.2
6117
4.92
20.
00
Biot
urba
tion
Pr35
31so
wnd
iv^c
-37.
381
516
.400
85.5
5117
5.21
20.
00
Biot
urba
tion
Pc52
1so
wnd
iv^c
-40.
052
327
.333
86.4
1217
6.07
40.
00
Biot
urba
tion
Ps40
31so
wnd
iv^c
-37.
205
613
.667
87.5
2917
7.19
10.
00
Biot
urba
tion
Pn20
31so
wnd
iv^c
-43.
222
420
.500
94.9
6318
4.62
50.
00
Biot
urba
tion
Pc53
1so
wnd
iv^c
-49.
415
327
.333
105.
137
194.
798
0.00
Biot
urba
tion
Pd10
1so
wnd
iv^c
-50.
173
327
.333
106.
654
196.
315
0.00
Biot
urba
tion
Pm15
31so
wnd
iv^c
-49.
112
420
.500
106.
743
196.
405
0.00
Biot
urba
tion
Pj35
1so
wnd
iv^c
-49.
668
420
.500
107.
855
197.
516
0.00
Biot
urba
tion
Ph25
1so
wnd
iv^c
-50.
103
420
.500
108.
726
198.
388
0.00
Biot
urba
tion
Pi30
1so
wnd
iv^c
-50.
165
420
.500
108.
850
198.
512
0.00
Biot
urba
tion
Pb51
sow
ndiv
^c-5
2.56
32
41.0
0010
9.27
819
8.93
90.
00
Biot
urba
tion
Pa5
sow
ndiv
^c-5
2.56
32
41.0
0010
9.27
819
8.93
90.
00
Biot
urba
tion
Pk40
1so
wnd
iv^c
-49.
652
516
.400
110.
093
199.
755
0.00
Biot
urba
tion
Pg20
1so
wnd
iv^c
-52.
124
327
.333
110.
555
200.
217
0.00
Biot
urba
tion
Pf15
1so
wnd
iv^c
-52.
405
327
.333
111.
117
200.
778
0.00
Biot
urba
tion
Ec22
21a
+ ex
p(so
wnd
iv)
-794
.448
420
.500
1597
.415
1687
.077
0.00
Biot
urba
tion
Ed28
21a
+ ex
p(so
wnd
iv)
-794
.410
516
.400
1599
.609
1689
.271
0.00
Biot
urba
tion
Ee34
2a
+ ex
p(so
wnd
iv)
-794
.442
516
.400
1599
.673
1689
.335
0.00
Biot
urba
tion
Eg46
21a
+ ex
p(so
wnd
iv)
-794
.410
613
.667
1601
.939
1691
.601
0.00
Biot
urba
tion
E42
a +
exp(
sow
ndiv
)-8
01.2
423
27.3
3316
08.7
9116
98.4
530.
00
Biot
urba
tion
Eb16
21a
+ ex
p(so
wnd
iv)
-801
.072
420
.500
1610
.663
1700
.325
0.00
Biot
urba
tion
Ea10
21a
+ ex
p(so
wnd
iv)
-801
.210
420
.500
1610
.940
1700
.602
0.00
Biot
urba
tion
Ef40
21a
+ ex
p(so
wnd
iv)
-800
.951
516
.400
1612
.692
1702
.353
0.00
Biot
urba
tion
Ea10
11a
+ ex
p(so
wnd
iv)
-172
6.31
34
20.5
0034
61.1
4535
50.8
060.
00
Biot
urba
tion
Ef40
11a
+ ex
p(so
wnd
iv)
-172
6.12
75
16.4
0034
63.0
4335
52.7
040.
00
Biot
urba
tion
Ed28
11a
+ ex
p(so
wnd
iv)
-172
6.31
35
16.4
0034
63.4
1535
53.0
760.
00
Biot
urba
tion
Eg46
11a
+ ex
p(so
wnd
iv)
-172
6.12
76
13.6
6734
65.3
7335
55.0
350.
00
Biot
urba
tion
Eb16
11a
+ ex
p(so
wnd
iv)
-174
4.12
74
20.5
0034
96.7
7335
86.4
340.
00
Biot
urba
tion
Ee34
1a
+ ex
p(so
wnd
iv)
-174
4.12
75
16.4
0034
99.0
4335
88.7
040.
00
Biot
urba
tion
E41
a +
exp(
sow
ndiv
)-1
746.
568
327
.333
3499
.445
3589
.106
0.00
Supplementary Table 2 (continued)
SUPPLEMENTARY INFORMATIONRESEARCHdoi:10.1038/nature09492
WWW NATURE.COM/NATURE | 98
Long
var
iabl
e na
me
mod
el n
ame
mod
el fo
rmul
aLL
KN
2KA
ICc
delt
AIC
cw
_ic
Biot
urba
tion
Ec22
11a
+ ex
p(so
wnd
iv)
-174
6.56
84
20.5
0035
01.6
5635
91.3
180.
00
Biot
urba
tion
Ef37
21a
+ b
* ex
p(c
* so
wnd
iv)
-269
0.07
811
7.45
554
05.9
2754
95.5
880.
00
Biot
urba
tion
E4a
+ ex
p(so
wnd
iv)
-491
2.51
62
41.0
0098
29.1
8399
18.8
450.
00
Biot
urba
tion
Ea10
a +
exp(
sow
ndiv
)-4
912.
516
327
.333
9831
.339
9921
.000
0.00
Biot
urba
tion
Eb16
a +
exp(
sow
ndiv
)-4
912.
516
327
.333
9831
.339
9921
.000
0.00
Biot
urba
tion
Ec22
a +
exp(
sow
ndiv
)-4
912.
516
327
.333
9831
.339
9921
.000
0.00
Biot
urba
tion
Ed28
a +
exp(
sow
ndiv
)-4
912.
516
420
.500
9833
.551
9923
.212
0.00
Biot
urba
tion
Ee40
a +
exp(
sow
ndiv
)-4
912.
516
420
.500
9833
.551
9923
.212
0.00
Biot
urba
tion
Ef40
a +
exp(
sow
ndiv
)-4
912.
516
420
.500
9833
.551
9923
.212
0.00
Biot
urba
tion
Eg46
a +
exp(
sow
ndiv
)-4
912.
516
516
.400
9835
.821
9925
.482
0.00
Ant a
ctiv
ityL2
sow
ndiv
+ fu
ncgr
+ le
g13
.401
516
.200
-16.
001
0.00
00.
96
Ant a
ctiv
ityPa
2a
+ b
* so
wnd
iv6.
621
327
.000
-6.9
299.
072
0.01
Ant a
ctiv
ityPa
3a
+ so
wnd
iv^c
6.04
73
27.0
00-5
.783
10.2
180.
01
Ant a
ctiv
ityE2
a +
b *
exp(
sow
ndiv
)5.
979
327
.000
-5.6
4510
.356
0.01
Ant a
ctiv
ityPa
4b
* so
wnd
iv^c
5.93
93
27.0
00-5
.567
10.4
340.
01
Ant a
ctiv
ityA
S1SS
asym
p(so
wnd
iv, A
sym
, R0,
lrc)
6.70
14
20.2
50-4
.876
11.1
250.
00
Ant a
ctiv
ityPa
1a
+ b
* so
wnd
iv^c
6.68
94
20.2
50-4
.852
11.1
490.
00
Ant a
ctiv
ityL0
bloc
k +
(sow
ndiv
+ fu
ncgr
+ g
rass
+ le
g)^2
20.4
4315
5.40
0-3
.502
12.4
990.
00
Ant a
ctiv
ityM
1aSS
mic
men
(sow
ndiv
, Vm
, k)
4.84
23
27.0
00-3
.371
12.6
300.
00
Ant a
ctiv
ityM
1a
* so
wnd
iv/(
b +
sow
ndiv
)4.
842
327
.000
-3.3
7112
.630
0.00
Ant a
ctiv
ityBI
EXP
SSbi
exp(
sow
ndiv
, A1,
lrc1
, A2,
lrc2
)6.
702
516
.200
-2.6
0513
.396
0.00
Ant a
ctiv
ityPa
5so
wnd
iv^c
-36.
660
240
.500
77.4
7393
.474
0.00
Ant a
ctiv
ityE5
b *
exp(
sow
ndiv
)-4
0.90
72
40.5
0085
.967
101.
968
0.00
Ant a
ctiv
ityE4
a +
exp(
sow
ndiv
)-4
853.
104
240
.500
9710
.361
9726
.362
0.00
Supplementary Table 2 (continued)
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Supplementary Table 3 | Parameter estimates of minimal adequate 1-, 2- and 3-parameter power models (in a separate file)
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Response Compartment Measure Estimate SE
Herbivorous invertebrates aboveground abundance 0.35 0.05
Carnivorous invertebrates aboveground abundance 0.18 0.06
Omnivorous invertebrates aboveground abundance 0.12 0.07
Hyperparasitoids aboveground abundance -0.06 0.17
Parasitoids aboveground abundance 0.34 0.09
Plant invaders aboveground abundance -0.29 0.09
Pollinators aboveground abundance 0.06 0.08
Voles aboveground abundance 0.18 0.17
Herbivorous invertebrates aboveground diversity 0.39 0.04
Carnivorous invertebrates aboveground diversity 0.21 0.04
Omnivorous invertebrates aboveground diversity 0.07 0.05
Parasitoids aboveground diversity 0.21 0.04
Plant invaders aboveground diversity -0.37 0.07
Pollinators aboveground diversity 0.22 0.05
Plant-pathogenic fungi aboveground diversity 0.20 0.03
Bacterivorous Nematodes belowground abundance 0.08 0.09
Fungivorous Nematodes belowground abundance -0.05 0.10
Omnivorous Nematodes belowground abundance 0.02 0.09
Plant-feeding Nematodes belowground abundance 0.06 0.07
Predatory Nematodes belowground abundance 0.92 0.21
Collembolans belowground abundance 0.11 0.06
Earthworms belowground abundance 0.07 0.08
Gamasida belowground abundance 0.28 0.12
Herbivorous macrofauna belowground abundance 0.19 0.08
Predatory macrofauna belowground abundance 0.09 0.10
Saprophagous macrofauna belowground abundance 0.18 0.08
Mites belowground abundance -0.01 0.09
Bacterivorous Nematodes belowground diversity 0.11 0.06
Fungivorous Nematodes belowground diversity 0.02 0.05
Omnivorous Nematodes belowground diversity 0.03 0.08
Plant-feeding Nematodes belowground diversity 0.12 0.05
Predatory Nematodes belowground diversity 0.16 0.15
Collembolans belowground diversity 0.10 0.04
Earthworms belowground diversity 0.01 0.04
Herbivorous macrofauna belowground diversity 0.18 0.05
Predatory macrofauna belowground diversity 0.04 0.05
Saprophagous macrofauna belowground diversity 0.14 0.05
Mycorrhiza belowground diversity 0.08 0.04
Supplementary Table 4 | Parameter estimates of common two-parameter power models. Shown are the estimates of the exponent, z, in models of the form y=b×Sz, where b is an estimated constant and S is the plant species richness of the community. Response, response variable; Compartment, above- or belowground. Measure, abundance or species richness ("diversity"). SE, the standard error of each estimate. Response variables are scaled to [0;1], plant species richness ranges from 1-60 plant species. For example, collembolan abundance
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IDRe
spon
se v
aria
ble
1-2
2-3
3-4
4-5
5-6
6-7
7-8
8-9
9-10
1H
erbi
vore
s-0
.90
-0.8
0-0
.70
-0.6
0-0
.50
-0.4
0-0
.30
-0.2
0-0
.10
2Ca
rniv
ores
0.10
-0.8
0-0
.70
-0.6
0-0
.50
-0.4
0-0
.30
-0.2
0-0
.10
3O
mni
vore
s0.
100.
20-0
.70
-0.6
0-0
.50
-0.4
0-0
.30
-0.2
0-0
.10
4Pa
rasi
toid
s0.
100.
200.
30-0
.60
-0.5
0-0
.40
-0.3
0-0
.20
-0.1
0
5Po
llina
tors
0.10
0.20
0.30
0.40
-0.5
0-0
.40
-0.3
0-0
.20
-0.1
0
6Vo
les
0.10
0.20
0.30
0.40
0.50
-0.4
0-0
.30
-0.2
0-0
.10
7Pl
ant i
nvad
ers
0.10
0.20
0.30
0.40
0.50
0.60
-0.3
0-0
.20
-0.1
0
8H
erbi
voro
us m
acro
faun
a0.
100.
200.
300.
400.
500.
600.
70-0
.20
-0.1
0
9Pr
edat
ory
mac
rofa
una
0.10
0.20
0.30
0.40
0.50
0.60
0.70
0.80
-0.1
0
10Sa
prop
hago
us m
acro
faun
a0.
100.
200.
300.
400.
500.
600.
700.
800.
90
F-Va
lue
23.7
419
.61
16.2
224
.45
15.0
99.
980.
031.
520.
13
P-Va
lue
<0.0
1<0
.01
<0.0
1<0
.01
<0.0
1<0
.01
0.85
0.22
0.73
Supplementary Table 5a | Multivariate comparisons of organism abundances. Columns are (from left to right): ID, variable number; Response variables (herbivore abundance etc.); "1-2" the successive difference contrast between variables 1 and 2 (her-bivores vs. carnivores); "2-3" etc. accordingly. Table entries in rows 1-10 are contrast coef-ficients for successive difference contrasts. The two bottom rows contain the relevant infor-mation, namely the F and P values for the hypotheses tested. For example, herbivores and carnivore abundance (1 vs. 2) differ significantly at P<0.01.
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IDRe
spon
se v
aria
ble
1-2
2-3
3-4
4-5
5-6
6-7
7-8
8-9
1H
erbi
vore
s-0
.89
-0.7
8-0
.67
-0.5
6-0
.44
-0.3
3-0
.22
-0.1
1
2Ca
rniv
ores
0.11
-0.7
8-0
.67
-0.5
6-0
.44
-0.3
3-0
.22
-0.1
1
3O
mni
vore
s0.
110.
22-0
.67
-0.5
6-0
.44
-0.3
3-0
.22
-0.1
1
4Pa
rasi
toid
s0.
110.
220.
33-0
.56
-0.4
4-0
.33
-0.2
2-0
.11
5Po
llina
tors
0.11
0.22
0.33
0.44
-0.4
4-0
.33
-0.2
2-0
.11
6In
vade
rs0.
110.
220.
330.
440.
56-0
.33
-0.2
2-0
.11
7H
erbi
voro
us m
acro
faun
a0.
110.
220.
330.
440.
560.
67-0
.22
-0.1
1
8Pr
edat
ory
mac
rofa
una
0.11
0.22
0.33
0.44
0.56
0.67
0.78
-0.1
1
9Sa
prop
hago
us m
acro
faun
a0.
110.
220.
330.
440.
560.
670.
780.
89
F-Va
lue
44.8
933
.69
14.1
518
.17
18.0
90.
050.
430.
64
P-Va
lue
<0.0
1<0
.01
<0.0
1<0
.01
<0.0
10.
830.
520.
43
Supplementary Table 5b | Multivariate comparisons of organism species richness. Columns are (from left to right): ID, variable number; Response variables (herbivore spe-cies richness etc.); "1-2" the successive difference contrast between variables 1 and 2 (herbivores vs. carnivores); "2-3" etc. accordingly. Table entries in rows 1-9 are contrast coefficients for successive difference contrasts. The two bottom rows contain the relevant information, namely the F and P values for the hypotheses tested. For example, herbivores and carnivore diversity (1 vs. 2) differ significantly at P<0.01.
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IDRe
spon
se v
aria
ble
1-2
2-3
3-4
4-5
5-6
6-7
7-8
8-9
9-10
1H
erbi
vory
-0.9
0-0
.80
-0.7
0-0
.60
-0.5
0-0
.40
-0.3
0-0
.20
-0.1
0
2Pa
rasi
tism
0.10
-0.8
0-0
.70
-0.6
0-0
.50
-0.4
0-0
.30
-0.2
0-0
.10
3Fl
ower
vis
itatio
n0.
100.
20-0
.70
-0.6
0-0
.50
-0.4
0-0
.30
-0.2
0-0
.10
4D
ecom
posi
tion
0.10
0.20
0.30
-0.6
0-0
.50
-0.4
0-0
.30
-0.2
0-0
.10
5Se
ed p
reda
tion
0.10
0.20
0.30
0.40
-0.5
0-0
.40
-0.3
0-0
.20
-0.1
0
6M
icro
bial
resp
iratio
n0.
100.
200.
300.
400.
50-0
.40
-0.3
0-0
.20
-0.1
0
7Pa
thog
en d
amag
e0.
100.
200.
300.
400.
500.
60-0
.30
-0.2
0-0
.10
8In
vasi
on0.
100.
200.
300.
400.
500.
600.
70-0
.20
-0.1
0
9Bi
otur
batio
n0.
100.
200.
300.
400.
500.
600.
700.
80-0
.10
10A
nt a
ctivi
ty0.
100.
200.
300.
400.
500.
600.
700.
800.
90
F-Va
lue
3.69
1.27
9.13
6.22
10.4
87.
5713
.94
4.73
0.39
P-Va
lue
0.06
0.27
<0.0
10.
02<0
.01
0.01
<0.0
10.
040.
54
Supplementary Table 5c | Multivariate comparisons of organism interactions. Col-umns are (from left to right): ID, variable number; Response variables (herbivory, parasit-ism, etc.); "1-2" the successive difference contrast between variables 1 and 2 (herbivory vs. parasitism); "2-3" etc. accordingly. Table entries in rows 1-10 are contrast coefficients for successive difference contrasts. The two bottom rows contain the relevant information, namely the F and P values for the hypotheses tested. For example, herbivory and parasit-ism (1 vs. 2) are not significantly different from one another.
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IDLa
bel
12
34
56
78
910
1lo
g (P
lant
spe
cies
ric
hnes
s)2.
34
2A
bove
grou
nd p
lant
bio
mas
s (g
/m²)
0.15
0.03
3A
bove
grou
nd d
ead
plan
t bio
mas
s (g
/m²)
0.18
0.02
0.05
4A
bove
grou
nd h
erbi
vore
abu
ndan
ce0.
210.
020.
030.
05
5Sa
prop
hago
us m
acro
faun
a ab
unda
nce
0.06
0.01
0.01
0.01
0.04
6H
erbi
voro
us m
acro
faun
a ab
unda
nce
0.15
0.02
0.02
0.02
0.02
0.05
7A
bove
grou
nd c
arni
vore
abu
ndan
ce0.
160.
020.
020.
030.
010.
020.
05
8Pr
edat
ory
mac
rofa
una
abun
danc
e0.
050.
010.
010.
020.
020.
020.
010.
04
9A
bove
grou
nd o
mni
vore
abu
ndan
ce0.
080.
010.
020.
010.
010.
010.
020.
000.
06
10A
bove
grou
nd p
aras
itoid
abu
ndan
ce0.
200.
020.
020.
040.
010.
020.
040.
010.
030.
08
Supplementary Table 6 | Sample covariance matrix used for the structural equation model presented in Fig. 3.
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IDLa
bel
12
34
56
78
910
1lo
g (P
lant
spe
cies
ric
hnes
s)1.
00
2A
bove
grou
nd p
lant
bio
mas
s (g
/m²)
0.57
1.00
3A
bove
grou
nd d
ead
plan
t bio
mas
s (g
/m²)
0.56
0.48
1.00
4A
bove
grou
nd h
erbi
vore
abu
ndan
ce0.
650.
540.
601.
00
5Sa
prop
hago
us m
acro
faun
a ab
unda
nce
0.20
0.26
0.21
0.36
1.00
6H
erbi
voro
us m
acro
faun
a ab
unda
nce
0.42
0.40
0.37
0.50
0.43
1.00
7A
bove
grou
nd c
arni
vore
abu
ndan
ce0.
470.
390.
340.
610.
300.
351.
00
8Pr
edat
ory
mac
rofa
una
abun
danc
e0.
180.
300.
130.
410.
510.
530.
321.
00
9A
bove
grou
nd o
mni
vore
abu
ndan
ce0.
230.
330.
290.
180.
200.
130.
400.
071.
00
10A
bove
grou
nd p
aras
itoid
abu
ndan
ce0.
460.
500.
310.
590.
260.
320.
590.
150.
481.
00
Supplementary Table 7 | Sample correlation matrix used for the structural equation model presented in Fig. 3.
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Estimate
S.E.
C.R.
P
Abo
vegr
ound
pla
nt b
iom
ass
(g/m
²)<-
--lo
g (P
lant
spe
cies
ric
hnes
s)0.
060.
014.
817
<0.0
01
Abo
vegr
ound
her
bivo
re a
bund
ance
<---
log
(Pla
nt s
peci
es r
ichn
ess)
0.07
0.02
4.17
8<0
.001
Abo
vegr
ound
her
bivo
re a
bund
ance
<---
Abo
vegr
ound
pla
nt b
iom
ass
(g/m
²)0.
270.
161.
749
0.08
Abo
vegr
ound
dea
d pl
ant b
iom
ass
(g/m
²)<-
--A
bove
grou
nd p
lant
bio
mas
s (g
/m²)
0.30
0.18
1.69
60.
09
Abo
vegr
ound
dea
d pl
ant b
iom
ass
(g/m
²)<-
--lo
g (P
lant
spe
cies
ric
hnes
s)0.
060.
023.
055
0.00
2
Abo
vegr
ound
car
nivo
re a
bund
ance
<---
Abo
vegr
ound
her
bivo
re a
bund
ance
0.61
0.14
4.25
7<0
.001
Her
bivo
rous
mac
rofa
una
abun
danc
e<-
--lo
g (P
lant
spe
cies
ric
hnes
s)0.
060.
023.
172
0.00
2
Sapr
opha
gous
mac
rofa
una
abun
danc
e<-
--A
bove
grou
nd d
ead
plan
t bio
mas
s (g
/m²)
0.15
0.12
1.25
40.
21
Abo
vegr
ound
car
nivo
re a
bund
ance
<---
Abo
vegr
ound
pla
nt b
iom
ass
(g/m
²)0.
110.
180.
640.
522
Abo
vegr
ound
par
asito
id a
bund
ance
<---
Abo
vegr
ound
her
bivo
re a
bund
ance
0.70
0.17
4.18
5<0
.001
Abo
vegr
ound
om
nivo
re a
bund
ance
<---
Abo
vegr
ound
car
nivo
re a
bund
ance
0.42
0.14
3.01
70.
003
Pred
ator
y m
acro
faun
a ab
unda
nce
<---
Her
bivo
rous
mac
rofa
una
abun
danc
e0.
310.
103.
051
0.00
2
Pred
ator
y m
acro
faun
a ab
unda
nce
<---
Sapr
opha
gous
mac
rofa
una
abun
danc
e0.
350.
122.
920.
003
Abo
vegr
ound
par
asito
id a
bund
ance
<---
Abo
vegr
ound
pla
nt b
iom
ass
(g/m
²)0.
270.
211.
336
0.18
2
Supplementary Table 8 | Unstandardized parameter estimates of the structural equation model presented in Fig. 3. S.E., standard error; C.R. critical ratio (estimate di-vided by S.E.)
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Estimate
Abo
vegr
ound
pla
nt b
iom
ass
(g/m
²)<-
--lo
g (P
lant
spe
cies
ric
hnes
s)0.
567
Abo
vegr
ound
her
bivo
re a
bund
ance
<---
log
(Pla
nt s
peci
es r
ichn
ess)
0.52
9
Abo
vegr
ound
her
bivo
re a
bund
ance
<---
Abo
vegr
ound
pla
nt b
iom
ass
(g/m
²)0.
218
Abo
vegr
ound
dea
d pl
ant b
iom
ass
(g/m
²)<-
--A
bove
grou
nd p
lant
bio
mas
s (g
/m²)
0.23
7
Abo
vegr
ound
dea
d pl
ant b
iom
ass
(g/m
²)<-
--lo
g (P
lant
spe
cies
ric
hnes
s)0.
426
Abo
vegr
ound
car
nivo
re a
bund
ance
<---
Abo
vegr
ound
her
bivo
re a
bund
ance
0.56
3
Her
bivo
rous
mac
rofa
una
abun
danc
e<-
--lo
g (P
lant
spe
cies
ric
hnes
s)0.
4
Sapr
opha
gous
mac
rofa
una
abun
danc
e<-
--A
bove
grou
nd d
ead
plan
t bio
mas
s (g
/m²)
0.17
Abo
vegr
ound
car
nivo
re a
bund
ance
<---
Abo
vegr
ound
pla
nt b
iom
ass
(g/m
²)0.
085
Abo
vegr
ound
par
asito
id a
bund
ance
<---
Abo
vegr
ound
her
bivo
re a
bund
ance
0.52
1
Abo
vegr
ound
om
nivo
re a
bund
ance
<---
Abo
vegr
ound
car
nivo
re a
bund
ance
0.39
6
Pred
ator
y m
acro
faun
a ab
unda
nce
<---
Her
bivo
rous
mac
rofa
una
abun
danc
e0.
372
Pred
ator
y m
acro
faun
a ab
unda
nce
<---
Sapr
opha
gous
mac
rofa
una
abun
danc
e0.
356
Abo
vegr
ound
par
asito
id a
bund
ance
<---
Abo
vegr
ound
pla
nt b
iom
ass
(g/m
²)0.
164
Supplementary Table 9 | Standardized parameter estimates of the structural equa-tion model presented in Fig. 3
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Estimate S.E. C.R. P
Aboveground plant biomass (g/m²) 0.62 0.04 15.38 <0.001
Aboveground herbivore abundance 0.13 0.11 1.19 0.233
Aboveground dead plant biomass (g/m²) 0.05 0.12 0.38 0.707
Aboveground carnivore abundance 0.05 0.12 0.38 0.705
Herbivorous macrofauna abundance 0.37 0.06 6.55 <0.001
Saprophagous macrofauna abundance 0.46 0.06 7.95 <0.001
Aboveground omnivore abundance 0.29 0.07 4.08 <0.001
Aboveground parasitoid abundance -0.11 0.14 -0.74 0.457
Predatory macrofauna abundance 0.20 0.07 2.78 0.005
Supplementary Table 10 | Intercepts for variables in the structural equation model presented in Fig. 3. S.E., standard error; C.R. critical ratio (estimate divided by S.E.)
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Supplementary Notes
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