a training course on co 2 eddy flux data analysis and modeling parameter estimation

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A Training Course on CO 2 Eddy Flux Data Analysis and Modeling Parameter Estimation Katherine Owen John Tenhunen Xiangming Xiao Institute of Geography and Natural Resources, Chinese Academy of Sciences, Beijing, China Institute for the Study of Earth, Oceans and Space, University of New Hampshire, USA Department of Plant Ecology, University of Bayreuth, Germany The Institute of Geography and Natural Resources, CAS, Beijing, China

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A Training Course on CO 2 Eddy Flux Data Analysis and Modeling Parameter Estimation Katherine Owen John Tenhunen Xiangming Xiao Institute of Geography and Natural Resources, Chinese Academy of Sciences, Beijing, China - PowerPoint PPT Presentation

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Page 1: A Training Course on CO 2  Eddy Flux Data Analysis and Modeling Parameter Estimation

A Training Course on CO2 Eddy Flux Data Analysis and Modeling

Parameter Estimation

Katherine OwenJohn TenhunenXiangming Xiao

Institute of Geography and Natural Resources, Chinese Academy of Sciences, Beijing, China

Institute for the Study of Earth, Oceans and Space, University of New Hampshire, USADepartment of Plant Ecology, University of Bayreuth, Germany

The Institute of Geography and Natural Resources, CAS, Beijing, China

July 25, 2006

Page 2: A Training Course on CO 2  Eddy Flux Data Analysis and Modeling Parameter Estimation

Theory: What kind of parameters?

Physiological

•Vcmax=average carboxylase capacity of the leaves

•alpha=average leaf light utilization efficiency

•Stomata live factor=percent of open stomates due to water stress

Phenological

•LAI=leaf area index

•Length of active season for carbon uptake

Other

•Soil Carbon

Page 3: A Training Course on CO 2  Eddy Flux Data Analysis and Modeling Parameter Estimation

Theory: Why estimate parameters?

•Compare sites

•Look at changes in one site between years (ie, temperature or storm damage) or over a year or season

•Parameterization for other scale models - regional, continental, global

Page 4: A Training Course on CO 2  Eddy Flux Data Analysis and Modeling Parameter Estimation

Theory: Model Scales

Atom

Cell

Region

Organ

Landscape

Ecosystem

Organism

Molecule

Biome

Globe

Com

plex

ity

Rep

rodu

cibi

lity

Eddy Covariance Tower

Page 5: A Training Course on CO 2  Eddy Flux Data Analysis and Modeling Parameter Estimation

Theory: Model Concepts

Top down

•overview of the system is formulated with no or few details of the parts

•problem: “black box”

Bottom up

•individual parts of the system designed in detail

•problem: may not have enough information to describe all parts of the system

Simplicity, Applicability

Understanding, Predictive Power, Generality

Page 6: A Training Course on CO 2  Eddy Flux Data Analysis and Modeling Parameter Estimation

Theory: What kind of models?•Many, many bottom-up & top-down models exist (rectangular & non-rectangular hyperbola, PIXGRO, CSIRO Biosphere Model, Biome-BGC, PaSim, etc.)

•Different models may be suitable for different goals

•Different models may be suitable depending on availability of ancillary data (LAI, leaf angle, soil texture, etc.)

•Parameters can be estimated for different time periods (daily, weekly, monthly, etc.). Depends on data availability, goal of modelling, etc.

•We discuss 2 models in this presentation

Page 7: A Training Course on CO 2  Eddy Flux Data Analysis and Modeling Parameter Estimation

Model 1: Empirical Top-Down Hyperbolic Light Response Model

aka Rectangular Hyperbolic Model or Michaelis-Menten Equation

PPFD

PPFDNEE

-40

-30

-20

-10

0

10

20

30

0 500 1000 1500 2000

PPFD (mol m-2 s-1)

NE

E (

m

ol m

-2 s

-1)

- radiation required for half maximal uptake rate, approximation of canopy light utilization efficiency

- maximum canopy CO2 uptake rate

- estimate of the average Reco occurring during the observation period

- canopy CO2 uptake capacity or the average estimate for the maximum GPP during the observation period

NEE - un-gap filled half hourly net ecosystem exchange

PPFD - half hourly photosynthetic photon flux density

, , - estimated for 10 day periods

Page 8: A Training Course on CO 2  Eddy Flux Data Analysis and Modeling Parameter Estimation

Ongoing canopy level physiological parameter fitting via model inversion

Site specific LAI & gap filled GPP & meteo data

canopy model

Output: Physiological leaf parametersVcuptake - average leaf carboxylation capacity at 25°C Vcmax

alpha - average light utilization efficiency without photorespirationestimated for 10 day periods

LAI, SAI

Phenology

Leaf physiology

Sunlit

Shaded

1 Canopy Layer

Input: Half-hourly flux and meteoroligical data

Model 2: Bottom-up Physiological Carboxylase-based Process Model

(Photosynthesis model based on Farquhar & von Caemmerer)

European Beech Fagus sylvatica (Hainich, Germany)

Carboxylation capacity, Light utilization efficiency, Vcuptake alpha95% u* corrections

Marginal distribuation sampling gap fillingShort term exponential flux partitioning: NEE Reco & GPP(all methods according to Reichstein et al. 2005)

Input: LAI

Vcuptake2*

0

20

40

60

80

100

120

140

0 61 122 183 244 305 366Julian Day

Pa

ram

ete

r g

ue

ss

Alpha

0

0.01

0.02

0.03

0.04

0.05

0.06

0.07

0 61 122 183 244 305 366Julian Day

Pa

ram

ete

r g

ue

ss

2002

understanding of ecosystem physiology and biogeochemistry

Page 9: A Training Course on CO 2  Eddy Flux Data Analysis and Modeling Parameter Estimation

Model 2: Bottom-up Physiological Carboxylase-based Process Model

At this point in time the model has no

•Hydrology

•Soil layer

•Snow affects

•Future predictions

Ecosystem level only - no upscaling in this model

One vegetation type (-> set physiological parameters) per site (conifer, deciduous, grassland or cropland)

Page 10: A Training Course on CO 2  Eddy Flux Data Analysis and Modeling Parameter Estimation

Model 2: Bottom-up Physiological Carboxylase-based Process Model: Main Equations

Radiation - Duncan et al. (1967) / Chen et al. (1999)

The fractions of the hemisphere that visible from upper and lower leaf surfaces are calculated.

Photosynthesis - Farquhar & von Caemmerer (1982).

Rubisco enzyme reaction limited by the regeneration of RuBP (at low light or high internal CO2 concentrations) or

by Rubisco activity and CO2/O2 concentration (at

saturated light or low internal CO2 concentrations) with

the leaf temperature is calculated iteratively using energy balance.

Page 11: A Training Course on CO 2  Eddy Flux Data Analysis and Modeling Parameter Estimation

1. Demonstrate relationships between empirical & physiological parameters from the 2 models

2. Examine patterns in CO2 uptake/loss vs. climate, LAI, canopy & leaf physiology

3. Identify “functional ecosystem types”

4. Simplify physiological parameters for use in continental scales

Attempt to reduce the physiological-based model to the level of simple empirical descriptions, while maintaining response to factors like remotely sensed LAI, fertilization, management, and canopy water use so the parameters could be used in a continental scale model. Owen et al. 2006, Global Change Biology, submitted

Research Goals using the 2 models

Page 12: A Training Course on CO 2  Eddy Flux Data Analysis and Modeling Parameter Estimation

18 European sites at half-hourly time step: Model 1: Empirical Hyperbolic Light Response Model

Model 2: Physiological Carboxylase-based Process Modelfit for Vcuptake2* and alpha (2 parameter fit)

with seasonal LAI variationfit for Vcuptake1* with alpha = f (Vcuptake ) (1 parameter fit)

with constant LAI at maximum estimated at site ****Goal: reduce number of parameters

Formation of relationships according to “ecosystem functional type“ for Europe

Comparison of European relationships with 17 North American / Asian sites

Using the 2 models to compare parameters

Page 13: A Training Course on CO 2  Eddy Flux Data Analysis and Modeling Parameter Estimation

Pine ForestsDuke Pine, North Carolina, USATurkey Point, Ontario, CanadaLoobos, Netherlands Hyytiälä, Finland Sodankylä, Finland

Dense Coniferous ForestsHarvard Hemlock, Massachusetts, USAHowland, Maine, USACampbell River, British Columbia, USATharandt, Germany

Mixed ForestsVielsalm, Belgium

Deciduous ForestsDuke Hardwood, North Carolina, USATakayama, JapanCollelongo, ItalyHarvard, Massachusetts, USAHesse, FranceHainich, GermanySoroe, DenmarkPetsikko, Finland

Data Analysis

WetlandsRzecin, PolandKaamanen, Finland

TundraUpad, Alaska, USABarrow, Alaska, USA

GrasslandsDuke Field, North Carolina, USA

Canaan Valley, West Virginia, USAOensingen Intensive, SwitzerlandFort Peck, Montana, USALethbridge, Alberta, CanadaGrillenburg, GermanyJokioinen, Finland

CroplandsBondville, Illinois, USAMead, Nebraska, USAGebesee, GermanyLonzee, BelgiumKlingenberg, GermanyJokioinen, Finland

Page 14: A Training Course on CO 2  Eddy Flux Data Analysis and Modeling Parameter Estimation

Arrows indicate harvests or mowing

Daily GPP (g C m-2 day-1)

Da

y o

f Y

ea

r

lower lineupper line (mol CO2 m-2 s-1)

Sodankylä2001

0

5

10

15

20

0 60 120 180 240 300 360

0

20

40

60

80Pine ForestFinland

Tharandt2001

0

5

10

15

20

0 60 120 180 240 300 360

0

20

40

60

80Spruce ForestGermany

Petsikko1996

0

5

10

15

20

0 60 120 180 240 300 360

0

20

40

60

80Birch ForestFinland

Kaamanen2001

0

5

10

15

20

0 60 120 180 240 300 360

0

20

40

60

80FenFinland

Rzecin2004

0

5

10

15

20

0 60 120 180 240 300 360

0

20

40

60

80WetlandPoland

Loobos2001

0

5

10

15

20

0 60 120 180 240 300 360

0

20

40

60

80Pine ForestNetherlands

Hyytiälä2002

0

5

10

15

20

0 60 120 180 240 300 360

0

20

40

60

80Pine ForestFinland

Hesse2002

0

5

10

15

20

0 60 120 180 240 300 360

0

20

40

60

80Beech ForestFrance

Gebesee2004

0

5

10

15

20

0 60 120 180 240 300 360

0

20

40

60

80RapeseedGermany

Collelongo2001

0

5

10

15

20

0 60 120 180 240 300 360

0

20

40

60

80Beech ForestItaly

Jokioinen2001

0

5

10

15

20

0 60 120 180 240 300 360

0

20

40

60

80BarleyFinland

Jokioinen2002

0

5

10

15

20

0 60 120 180 240 300 360

0

20

40

60

80MeadowFinland

Grillenburg2004

0

5

10

15

20

0 60 120 180 240 300 360

0

20

40

60

80MeadowGermany

Lonzee 2004

0

5

10

15

20

0 60 120 180 240 300 360

0

20

40

60

80Sugar BeetBelgium

Oensingen2004

0

5

10

15

20

0 60 120 180 240 300 360

0

20

40

60

80MeadowSwitzerland

Vielsalm2002

0

5

10

15

20

0 60 120 180 240 300 360

0

20

40

60

80Mixed ForestBelgium

Figure 1, Owen et al.•Reduced CO2 uptake during winter at coniferous forest sites is influenced by continentality (Tharandt) and latitude influences on growing season length (Hyytiälä and Sodankylä). The Loobos maritime coniferous site remains active throughout the year. •There is a general decrease in annual GPP for deciduous forest sites from south to north in response to growing season length. All modeled forest canopies had similar CO2 uptake capacity at mid-season, with coniferous stands fixing ca. 10 and deciduous stands ca. 15 g C m-2 day-1. •The uptake of CO2 by wetlands, crops and grasslands is quite variable with responses to season length, nutrient availability (cf. compare wetlands with the fertilized grassland Oensingen), and management measures (crop rotation schemes and harvests). Maximum CO2 uptake capacity = 5 g C m-2 day-1 in wetlands, = 10 g C m-2 day-1 at the non-fertilized grassland site in Grillenburg and lightly fertilized site at Jokioinen, and = 15 g C m-2 day-1 or greater at the crop sites and the heavily fertilized meadow in Oensingen. •There are unexpected peaks in GPP for Vielsalm and Rzecin. Calm nights and/or missing data may result in very few, but enough and adequate NEE data that happen to be large and not representative for the window period that will then exaggerate values of GPP and Reco.

Page 15: A Training Course on CO 2  Eddy Flux Data Analysis and Modeling Parameter Estimation

GP

P (

g C

m-2 d

ay-1

) (mol CO2 m-2 s-1)

Grasslands = 3.74 * GPP + 2.39

r2 = 0.89

0

20

40

60

80

100

0 5 10 15 20

Mean SE

Crops = 4.48 * GPP + 1.84

r2 = 0.94

0

20

40

60

80

100

0 5 10 15 20

Mean SE

DeciduousForests

= 3.42 * GPP + 4.18

r2 = 0.89

0

20

40

60

80

100

0 5 10 15 20

Pine Forests

= 3.28 * GPP + 5.31

r2 = 0.68

0

20

40

60

80

100

0 5 10 15 20

Mean SE

Mean SE

Dense Coniferous

Forests = 3.15 * GPP + 7.41

r2 = 0.73

0

20

40

60

80

100

0 5 10 15 20

Wetlands

= 3.35 * GPP + 0.84

r2 = 0.96

0

20

40

60

80

100

0 5 10 15 20

Mean SE

Mean SE

Pine Forests Dense Coniferous ForestsHyytiälä 2002 Tharandt 2001Sodankylä 2001 Vielsalm 2002Loobos 2001

Deciduous Forests WetlandsHesse 2002 Kaamanen 2001

Hainich 2002 Rzecin 2004

Soroe 2002Collelongo 2001Petsikko 1996Vielsalm 2002

Grasslands CropsJokioinen 2002 Jokioinen 2001Grillenburg 2004 Gebesee 2004Oensingen 2004 Klingenberg 2004

Lonzee 2004

Figure 2, Owen et al.•Daily GPP is correlated with the maximum rate of canopy CO2 uptake, (+), (r2 between 0.68 and 0.96) for all ecosystem types and the slopes of the regressions are similar across types. •Nevertheless, there are some periods, for example late in the season at Hyytiälä, Loobos and Tharandt, where the apparent relationship shifts. This shift depends on the relative length of time the canopy performs under high or low light conditions, which changes over the course of a season. Such shifts contribute to the scatter and reduce the r2 values of the correlations. Other differences stem from the comparison between the estimates of , and obtained using ungap-filled NEE data and the gap-filled daily GPP data. •Given the simplicity of the hyperbolic light response model, the inversion solutions are obtained in a dependable fashion with few difficulties arising in the statistical fitting of light response curves.

Page 16: A Training Course on CO 2  Eddy Flux Data Analysis and Modeling Parameter Estimation

(mol CO2 m-2 s-1)

Rre

f (m

ol

CO

2 m

-2 s

-1)

DeciduousForests = 0.85 Rref - 0.23

r2 = 0.68

0

2

4

6

8

10

0 2 4 6 8 10

Pine Forests = 0.87 Rref - 0.78

r2 = 0.55

0

2

4

6

8

10

0 2 4 6 8 10

Mean SE

Mean SE

Grasslands

= 0.79 Rref - 0.11

r2 = 0.70

0

2

4

6

8

10

0 2 4 6 8 10

Mean SE

Wetlands

= 1.02 Rref - 0.09

r2 = 0.89

0

2

4

6

8

10

0 2 4 6 8 10

Dense Coniferous

Forests

= 0.97 Rref - 0.72

r2 = 0.75

0

2

4

6

8

10

0 2 4 6 8 10

Mean SE

Mean SE

Crops

= 1.05 Rref - 0.83

r2 = 0.90

0

2

4

6

8

10

0 2 4 6 8 10

Mean SE

Pine Forests Dense Coniferous ForestsHyytiälä 2002 Tharandt 2001Sodankylä 2001 Vielsalm 2002Loobos 2001

Deciduous Forests WetlandsHesse 2002 Kaamanen 2001

Hainich 2002 Rzecin 2004

Soroe 2002Collelongo 2001Petsikko 1996Vielsalm 2002

Grasslands CropsJokioinen 2002 Jokioinen 2001Grillenburg 2004 Gebesee 2004Oensingen 2004 Klingenberg 2004

Lonzee 2004

Figure 3, Owen et al.•The 10-day average Rref, the reference ecosystem respiration at 15 °C in the Lloyd and Taylor equation, and , an estimate of the average ecosystem respiration, for different functional ecosystem types are strongly related with r2 values between 0.55 and 0.9. • is derived from light responses and is dependent on observations during both daytime periods (with generally higher data quality) and nighttime periods (when atmospheric stability can complicate flux measurements). •Rref similarly provides an estimate of seasonal changes in ecosystem respiratory capacity based on the evaluation of temperature response. Thus, the parameters provide a consistent picture of seasonal influences on Reco. •The lowest r2 values are for coniferous stands which suggest that daytime observations may have different effects during winter and summer due to changing light quality, day length, temperature acclimation phenomena, temperature gradients within the dense stands, or due to the quality of the eddy data.

Page 17: A Training Course on CO 2  Eddy Flux Data Analysis and Modeling Parameter Estimation

DeciduousForests

= 0.0011 + 0.0099

r2 = 0.530

0.02

0.04

0.06

0.08

0.1

0 20 40 60 80 100

Pine Forests

= 0.0006+ 0.0205

r2 = 0.26

0

0.02

0.04

0.06

0.08

0.1

0 20 40 60 80 100

Mean SE

Mean SE

(mol CO2)/(mol photon)

(

mo

l C

O2

m-2 s

-1)

Dense Coniferous

Forests = 0.0006+ 0.0231

r2 = 0.21

0

0.02

0.04

0.06

0.08

0.1

0 20 40 60 80 100

Wetlands

= 0.0015 + 0.0065

r2 = 0.78

0

0.02

0.04

0.06

0.08

0.1

0 20 40 60 80 100

Mean SE

Mean SE

Grasslands = 0.0007+ 0.0179

r2 = 0.39

0

0.02

0.04

0.06

0.08

0.1

0 20 40 60 80 100

Mean SE

Crops = 0.0006+ 0.0142

r2 = 0.64

0

0.02

0.04

0.06

0.08

0.1

0 20 40 60 80 100

Mean SE

Pine Forests Dense Coniferous ForestsHyytiälä 2002 Tharandt 2001Sodankylä 2001 Vielsalm 2002Loobos 2001

Deciduous Forests WetlandsHesse 2002 Kaamanen 2001

Hainich 2002 Rzecin 2004

Soroe 2002Collelongo 2001Petsikko 1996Vielsalm 2002

Grasslands CropsJokioinen 2002 Jokioinen 2001Grillenburg 2004 Gebesee 2004Oensingen 2004 Klingenberg 2004

Lonzee 2004

Figure 4, Owen et al.•Strong seasonal changes in the parameter accompanies changes in and ( + ). These changes are important since one goal is to reduce the number of parameters that require description in spatial modelling at large scales. • may be described as a linear function of canopy CO2 uptake capacity in the case of deciduous forests, wetlands, grasslands and croplands, e.g., summer active ecosystems. •But there is considerable scatter in the relationships, and a tendency toward a curvilinear relationship may in fact occur with an initial rapid increase in ( + ) followed by a saturation in at values near 0.05. The interpretation of these relationships is difficult as it could be a physiological response. Especially in the case of coniferous forests, seems to be sensitive to factors other than those influencing canopy maximum CO2 uptake capacity ( + ), such as light quality, cold stress influence, or acclimation, but the values of fall within observations for other ecosystem types.

Page 18: A Training Course on CO 2  Eddy Flux Data Analysis and Modeling Parameter Estimation

Pine Forests

Vcuptake2* = 2.67 + 12.63

r2 = 0.760

50

100

150

0 20 40 60 80 100

DeciduousForests

Vcuptake2* = 1.62 + 9.33

r2 = 0.570

50

100

150

0 20 40 60 80 100

Mean SE

Mean SE

SE slope = 0.17SE intercept = 3.72

SE slope = 0.33SE intercept = 12.57 Vcuptake2* (mol CO2 m-2 leaf area s-1)

(m

ol

CO

2 m

-2 s

-1)

Dense Coniferous

ForestsVcuptake2* = 1.27+ 6.83

r2 = 0.63

0

50

100

150

0 20 40 60 80 100

Mean SE

SE slope = 0.18SE intercept = 4.84

Grasslands

Vcuptake2* = 1.46+ 12.05

r2 = 0.55

0

50

100

150

0 20 40 60 80 100

Mean SE

SE slope = 0.20SE intercept = 4.19

Crops

Vcuptake2* = 1.22 + 15.95

r2 = 0.72

0

50

100

150

0 20 40 60 80 100

Mean SE

SE slope = 0.15SE intercept = 6.12

Pine Forests Dense Coniferous ForestsHyytiälä 2002 Tharandt 2001Sodankylä 2001 Vielsalm 2002Loobos 2001

Deciduous Forests WetlandsHesse 2002 Kaamanen 2001

Hainich 2002 Rzecin 2004

Soroe 2002Collelongo 2001Petsikko 1996Vielsalm 2002

Grasslands CropsJokioinen 2002 Jokioinen 2001Grillenburg 2004 Gebesee 2004Oensingen 2004 Klingenberg 2004

Lonzee 2004

Figure 5, Owen et al.•General seasonal trends are recognizable in the relationships between ( + and Vcuptake2* for different functional ecosystem types. LAI was allowed to change over the course of the year except for coniferous forests so only sites with the best estimates of LAI were used. •The change in importance of limiting and high light conditions during individual periods, the imposition of defined temperature response curves based on previous cuvette gas exchange experimentation that are not ideal for describing overall gas exchange of the canopy, or time dependent change in measurement errors may cause the sensitivity in parameter estimates. •The slope of the relationships are similar for all ecosystem types except pine forests. The differences in pine forests could suggest that different functional types exist among coniferous stands. However, inaccurate values of LAI may also contribute, since understory components were not always included in LAI estimates.

Page 19: A Training Course on CO 2  Eddy Flux Data Analysis and Modeling Parameter Estimation

Vc u

pta

ke2

* (m

ol

CO

2 m

-2 l

ea

f a

rea

s-1)

alpha (mol CO2)/(mol photon)

Alp

ha

= M

INIM

UM

[ V

cu

pta

ke2

* *

0.0

00

8 ,

0.0

6 ]

0

0.01

0.02

0.03

0.04

0.05

0.06

0.07

0.08

0.09

0.1

0 50 100 150 200 250

Hyytiälä 2002Sodankylä 2001Loobos 2001Tharandt 2001Hesse 2002Jokioinen 2002Grillenburg 2004Klingenberg 2004Lonzee 2004

Mean SE

Figure 6, Owen et al.•In the interest of reducing the number of model parameters, the relationship of light utilization efficiency, alpha, was studied with respect to possible dependency on canopy CO2 uptake capacity, Vcuptake2*, both from the physiological model, using stands where the seasonal changes in LAI are best known. •As with the hyperbolic light response model, substantial variation in alpha could be explained with a linear dependency on Vcuptake2*, but the general impression is that alpha increases rapidly to values near 0.06 and is then limited. In addition, unexplained variations in alpha occur which may depend on real changes in processes or on the model inversion procedures. •Numerous regressions, including the rectangular hyperbolic, polynomial and logarithmic regression, were fitted to these data and had a maximum r2 value of 0.35. All regressions saturated at values close to 0.06. For the polynomial regression, only the linear and quadratic term were found to be significant and justify a non-linear approximation. For simplification we interpreted this scatter as the linear solid line.

Page 20: A Training Course on CO 2  Eddy Flux Data Analysis and Modeling Parameter Estimation

LAI 4.4

LAI Seasonal

Grillenburg 2004 Legend

LAI 6.6LAI Seasonal

Hesse 2002 Legend

Vcuptake1*

(mol CO2 m-2 leaf area s-1)

Alpha(mol CO2)/(mol photon)

Vcuptake2*

(mol CO2 m-2 leaf area s-1)

Da

y o

f Y

ea

r

Hesse2002

0

0.02

0.04

0.06

0.08

0.1

0 60 120 180 240 300 360

Hesse2002

0

50

100

150

200

0 60 120 180 240 300 360

Hesse2002

0

50

100

150

200

0 60 120 180 240 300 360

2 parameter fit

2 parameter fit

1 parameter fit

Grillenburg2004

0

50

100

150

200

0 60 120 180 240 300 360

Grillenburg2004

0

0.02

0.04

0.06

0.08

0.1

0 60 120 180 240 300 360

Grillenburg2004

0

50

100

150

200

0 60 120 180 240 300 360

2 parameter fit

2 parameter fit

1 parameter fit

Figure 7, Owen et al.•Here is the comparison between seasonally changing LAI and constant annual maximum LAI and between 1 and 2 parameter fits on summer active ecosystems for the Hesse beech forest in 2002 and Grillenburg grassland in 2004. The arrows show dates of grass cutting in Grillenburg. •Using a constant LAI in Grillenburg or in Hesse led to an underestimate in the parameter values for only very short periods during initial increases in LAI with leaf expansion in spring and after each cut of the grassland sites and during the senescence period in fall. As LAI increases above ca. 3 or 4, no further influence on the parameter values occurs, considering either the 2-parameter or 1-parameter model inversions. Having alpha dependent on Vcuptake also had a very small influence; e.g., seasonal changes in Vcuptake obtained for either the 2-parameter or 1-parameter model were quite similar.

Page 21: A Training Course on CO 2  Eddy Flux Data Analysis and Modeling Parameter Estimation

Daily GPP (g C m-2 day-1)

Da

y o

f Y

ea

r

Vcuptake1* (mol CO2 m-2 leaf area s-1)

Kaamanen2001

0

5

10

15

20

0 60 120 180 240 300 360

0

50

100

150

200FenFinland

Rzecin2004

0

5

10

15

20

0 60 120 180 240 300 360

0

50

100

150

200WetlandPoland

Sodankylä2001

0

5

10

15

20

0 60 120 180 240 300 360

0

50

100

150

200Pine ForestFinland

Hyytiälä2002

0

5

10

15

20

0 60 120 180 240 300 360

0

50

100

150

200Pine ForestFinland

Loobos2001

0

5

10

15

20

0 60 120 180 240 300 360

0

50

100

150

200Pine ForestNetherlands

Hesse2002

0

5

10

15

20

0 60 120 180 240 300 360

0

50

100

150

200Beech ForestFrance

Collelongo2001

0

5

10

15

20

0 60 120 180 240 300 360

0

50

100

150

200Beech ForestItaly

Petsikko1996

0

5

10

15

20

25

0 60 120 180 240 300 360

0

50

100

150

200

250Birch ForestFinland

Tharandt2001

0

5

10

15

20

0 60 120 180 240 300 360

0

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Oensingen2004

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200MeadowSwitzerland

Grillenburg2004

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Jokioinen2001

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200BarleyFinland

Jokioinen2002

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Gebesee2004

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Lonzee 2004

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Vielsalm2002

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Figure 8, Owen et al.•Only few of the sites have quantified seasonal changes in LAI, we obtained parameter estimates for Vcuptake1 (with alpha dependent on Vcuptake) with a constant LAI value of the year at the maximum annual value. Here are those values of Vcuptake1* , which a robust indicator of the canopy CO2 uptake capacity from the physiological model (solid line) superimposed on the daily observations of GPP (open circles). •Vcuptake1* more poorly follows the seasonal trend in GPP as compared with ( + ) from Fig 1. While ( + ) directly reflects maximum CO2 uptake rates during each ten day period, Vcuptake1* is the activity required at 25 °C to allow the observed maximum rates. If high rates are required at low temperatures during winter, cf. Loobos pine forest, Vcuptake1* may increase, because temperature dependencies used in the model inversions currently remain constant over the course of the year. Additional problems will occur if the maximum LAI does not account for all CO2 sinks within the ecosystem, such as moss or lichen layers, loss of needles during autumn in certain pine sites, or stem photosynthesis.

Page 22: A Training Course on CO 2  Eddy Flux Data Analysis and Modeling Parameter Estimation

Figure 8, Owen et al.•The Vcuptake1* parameter is sensitive to nitrogen availability and management as seen for the non-fertilized Grillenburg and heavily fertilized Oensingen meadows. •Finally, Vcuptake1* is a ‘property’ of the canopy, independent of meteorological conditions, and thus contains more generality than , and . •General patterns in seasonal change in Vcuptake1* can support and guide further efforts to bridge flux network observations and simulation modelling at large scales.

Page 23: A Training Course on CO 2  Eddy Flux Data Analysis and Modeling Parameter Estimation

DeciduousForests

= 3.59 * GPP + 3.74

r2 = 0.87

0

20

40

60

80

100

0 5 10 15 20

Pine Forests

= 4.42 * GPP + 4.45

r2 = 0.500

20

40

60

80

100

0 5 10 15 20

Mean SE

Mean SE

Grasslands

= 3.77 * GPP + 1.87

r2 = 0.87

0

20

40

60

80

100

0 5 10 15 20

Mean SE

GP

P (

g C

m-2 d

ay-1

) (mol CO2 m-2 s-1)

Dense Coniferous

Forests = 3.16 * GPP + 6.77

r2 = 0.73

0

20

40

60

80

100

0 5 10 15 20

Wetlands

= 3.35 * GPP + 0.60

r2 = 0.94

0

20

40

60

80

100

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Mean SE

Mean SE

Crops = 4.64 * GPP + 0.90

r2 = 0.92

0

20

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60

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100

0 5 10 15 20

Mean SE

Pine Forests Dense Coniferous ForestsHyytiälä 2002 Tharandt 2001Sodankylä 2001 Vielsalm 2002Loobos 2001 Campbell River 2000Duke Pine 2000 Harvard Hemlock 2001Turkey Point 2004 Howland 2003

Deciduous Forests WetlandsHesse 2002 Kaamanen 2001Hainich 2002 Rzecin 2004Soroe 2002 Barrow 1999Collelongo 2001 Upad 1994Petsikko 1996

Vielsalm 2002

Harvard 1999Takayama 2003Duke Hardwood 2004

Grasslands CropsJokioinen 2002 Jokioinen 2001Grillenburg 2004 Gebesee 2004Oensingen 2004 Klingenberg 2004Canaan Valley 2004 Lonzee 2004Fort Peck 2004 Bondville 2000Lethbridge 2002 Mead Irrigated 2002Duke Field 2004 Mead Rainfed 2002

Figure 9, Owen et al.•Additional sites from North America and Asia were analyzed to determine whether the CO2 uptake characteristics and the relationships of the "functional ecosystem types" are applicable to other temperate and boreal zones . This figure shows the relationships for the results between daily GPP from flux partitioning and ( + ) for European, North American and Asian sites for ten day periods for different functional ecosystem types. •The comparison demonstrates that the relationships for European sites are valid for the other temperate and boreal sites examined in the Northern Hemisphere. r2 values and slopes are vary similar to Fig 2. •Among coniferous sites, Loobos, Duke Pine, Tharandt and Howland exhibited large annual changes in the apparent relationship of ( + to GPP. A different relationship seems to apply below and above daily GPP values of ca. 3 g C m-2 day-1. Further detailed study must be carried out to explain these characteristics which appear to be an integral component of conifer ecosystem gas exchange.

Page 24: A Training Course on CO 2  Eddy Flux Data Analysis and Modeling Parameter Estimation

DeciduousForests

Vcuptake1* = 7.94 * GPP + 6.07

r2 = 0.77

0

50

100

150

200

0 5 10 15 20

Pine Forests

Vcuptake1* = 6.25 * GPP + 22.01

r2 = 0.40

0

50

100

150

200

0 5 10 15 20

Mean SE

Mean SE

Vcuptake1* (mol CO2 m-2 leaf area s-1)

GP

P (

g C

m-2 d

ay

-1)

Dense Coniferous

Forests

Vcuptake1* = 4.52 * GPP + 18.14

r2 = 0.59

0

50

100

150

200

0 5 10 15 20

Wetlands

Vcuptake1* = 15.59 * GPP + 2.00

r2 = 0.81

0

50

100

150

200

0 5 10 15 20

Mean SE

Mean SE

Grasslands

Vcuptake1* = 6.34 * GPP + 6.22

r2 = 0.81

0

50

100

150

200

0 5 10 15 20

Mean SE

CropsVcuptake1* = 7.59 * GPP + 3.76

r2 = 0.80

0

50

100

150

200

0 5 10 15 20

Mean SE

Pine Forests Dense Coniferous ForestsHyytiälä 2002 Tharandt 2001Sodankylä 2001 Vielsalm 2002Loobos 2001 Campbell River 2000Duke Pine 2000 Harvard Hemlock 2001Turkey Point 2004 Howland 2003

Deciduous Forests WetlandsHesse 2002 Kaamanen 2001Hainich 2002 Rzecin 2004Soroe 2002 Barrow 1999Collelongo 2001 Upad 1994Petsikko 1996

Vielsalm 2002

Harvard 1999Takayama 2003Duke Hardwood 2004

Grasslands CropsJokioinen 2002 Jokioinen 2001Grillenburg 2004 Gebesee 2004Oensingen 2004 Klingenberg 2004Canaan Valley 2004 Lonzee 2004Fort Peck 2004 Bondville 2000Lethbridge 2002 Mead Irrigated 2002Duke Field 2004 Mead Rainfed 2002

Figure 10, Owen et al.•Here are the relationships and linear regressions for the results between daily GPP and Vcuptake1*, which is a robust indicator of the canopy CO2 uptake capacity from the physiological model, using constant annual maximum LAI for European, North American and Asian sites. Broad agreement is once again found at all sites within the indicated categories. •Dense conifer forests appear to have two phases of response, with a separation in the correlation between Vcuptake1* and GPP at ca. 2 to 3 g C m-2 day-1. Some pine stands seem to exhibit similar behavior to those stands classified as dense conifers, e.g., Turkey Point, but the remaining pine stands exhibit larger Vcuptake1*, suggesting that a separate functional type between dense conifers and pine forests may be justified. Whether a clean separation of these groups by species type, influence of understory, or LAI is possible remains unclear.

Page 25: A Training Course on CO 2  Eddy Flux Data Analysis and Modeling Parameter Estimation

Figure 10, Owen et al.•The predicted relationships are similar independent of global region. The relatively wet Alaskan tundra sites fit well to the European wetland relationship. Drier tundra sites appeared to exhibit a different behavior, but we need more data to make final conclusions. •The mixed deciduous forest sites at Harvard Forest and Takayama were extremely similar to the European beech forest sites. •The relationship obtained for C3 crops fits both the North American legumes and the European grain and root crops. A comparison of common management practices of similar ecosystems in different climate zones, or a comparison of different ecosystems under similar climates, would help to separate the influences of climate and management on important crop and grassland species. •Regardless, these results support the basic idea that Vcuptake1* is a robust indicator of the canopy CO2 uptake capacity useful in simulations at large scales.

Page 26: A Training Course on CO 2  Eddy Flux Data Analysis and Modeling Parameter Estimation

Conclusions

•Close correlation between the 2 models

•Relationships exhibit 6 “functional groups” for sites modeled around Northern Hemisphere

•Relationships differ for dense coniferous and pine forests

•Poor quality or lack of LAI data is a problem

•Possibility of Vcuptake1* and MODIS LAI being

used in future in continental scale models

•Incorporating seasonal changes in physiology in the model is still a challenge

Page 27: A Training Course on CO 2  Eddy Flux Data Analysis and Modeling Parameter Estimation

Future Work

•Assess parameters from water stressed sites

•Obtain more eddy covariance data from other ecosystem types, i.e., tropical

Page 28: A Training Course on CO 2  Eddy Flux Data Analysis and Modeling Parameter Estimation

Acknowledgements

•The project investigators and research staff who provided data

•CarboEurope, Fluxnet, AsiaFlux, AmeriFlux, Fluxnet-Canada, and individual flux stations

Thank you for your attention!