population dynamics and preliminary estimates of the ... · the guanaco is historically the...

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Retrospective eses and Dissertations Iowa State University Capstones, eses and Dissertations 1-1-1985 Population dynamics and preliminary estimates of the harvestability of the Patagonian guanaco Michael Andrew Fritz Iowa State University Follow this and additional works at: hps://lib.dr.iastate.edu/rtd Part of the Agriculture Commons is esis is brought to you for free and open access by the Iowa State University Capstones, eses and Dissertations at Iowa State University Digital Repository. It has been accepted for inclusion in Retrospective eses and Dissertations by an authorized administrator of Iowa State University Digital Repository. For more information, please contact [email protected]. Recommended Citation Fritz, Michael Andrew, "Population dynamics and preliminary estimates of the harvestability of the Patagonian guanaco" (1985). Retrospective eses and Dissertations. 17838. hps://lib.dr.iastate.edu/rtd/17838

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Page 1: Population dynamics and preliminary estimates of the ... · The guanaco is historically the dominant, large mammalian herbivore in the Patagonia, but their numbers have been reduced

Retrospective Theses and Dissertations Iowa State University Capstones, Theses andDissertations

1-1-1985

Population dynamics and preliminary estimates ofthe harvestability of the Patagonian guanacoMichael Andrew FritzIowa State University

Follow this and additional works at: https://lib.dr.iastate.edu/rtd

Part of the Agriculture Commons

This Thesis is brought to you for free and open access by the Iowa State University Capstones, Theses and Dissertations at Iowa State University DigitalRepository. It has been accepted for inclusion in Retrospective Theses and Dissertations by an authorized administrator of Iowa State University DigitalRepository. For more information, please contact [email protected].

Recommended CitationFritz, Michael Andrew, "Population dynamics and preliminary estimates of the harvestability of the Patagonian guanaco" (1985).Retrospective Theses and Dissertations. 17838.https://lib.dr.iastate.edu/rtd/17838

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Population dynamics and preliminary estimates of the

harvestability of the Patagonian guanaco

by

Michael Andrew Fritz

A Thesis Submitted to the

Graduate Faculty in Partial Fulfillment of the

Requirements for the Degree of

MASTER OF SCIENCE

Major: Animal Ecology

Signatures have been redacted for privacy Signatures have been redacted for privacy

-------

Iowa State University Ames, Iowa

1985

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ii

TABLE OF CONTENTS

Page

ABSTRACT iv

INTRODUCTION 1

STUDY AREA 6

METHODS 9

Censuses 9

Skull Collection 10

Chemical Immobilization 11

Simulation Modeling 11

RESULTS AND DISCUSSION 15

Censuses 15

Rate of Increase 15

Natality 17

Sex Ratio 21

Survival and Mortality Rates 23

Social Distribution and Dynamics of Males 29

Male Group Zone 35

Simulations of the Unharvested Population 39

Simulations of Harvesting Chulengos 46

Simulations of Harvesting Males from Male Groups 48

Harvesting Unselectively 51

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CONCLUSIONS

Population Dynamics

Harvestability

LITERATURE CITED

ACKNOWLEDGEMENTS

iii

52

52

52

55

60

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iv

ABSTRACT

This study provided base data on the guanaco (Lama

CJ!!anicoe) population at Torres del Paine National Park,

Chile and explored the potential for sustained yield

harvesting using a deterministic, density independent,

matrix simulation model. Data were collected from July 1981

to February 1984. The mean exponential growth rate of the

population calculated from 1981 - 1984 censuses was r=0.12.

Age-specific survival and mortality rates were calculated by

life table analysis of 243 collected skulls from natural

mortalities. Skulls were aged by t ooth wear and

replacement. Survivorship was similar to guanacos on Tierra

del Fuego. The mean natality rate was 0.74 offspring/ female

~3 years old. The guanaco mating system is polygynous.

Family groups averaged 7 females each during the s ummer

breeding season. Thirty-sev en percent of the males ~ l year

old possessed territories and the other 63% were in male

groups in a zone apart from the breeding terri tories.

Forty-five percent of the territorial males had family

groups and 55% were solitary. The social dynamics of males

were determined by monitoring 33 ear-tagged males of v arious

ages. Most 1- to 3-year-old males spent the summer in male

groups and became territorial when 4-years old. Matrix

modeling indicated that approximately 15% of the newborn

guanacos could be harvested annually for skins. Harv esting

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v

males from male groups would be both biologically and

logistically feasible. If the average territorial male bred

7 females per year, about 30% of the males in male groups

could be harvested without disrupting or diminishing

reproduction. Male group harvestability is greater with

increased polygyny. The matrix simulation model used here

shows promise in modeling the population dynamics and

harvesting of guanacos, but until more accurate estimates of

age-specific natality and survival rates can be made, the

present projections are to be considered preliminary. Long

term studies should be designed to incorporate in the model

.the stochastic and density dependent nature of surviv al and

natality rates.

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1

INTRODUCTION

Increasing human populations with their concomitantly

increasing demands for protein and arable land threaten

wildlife species and their habitats in many developing

countries. Rather than battle these forces with a strictly

protectionist doctrine, the World Conservation Strategy of

the International Union for the Conservation of Nature and

Natural Resources (I.U.C.N.) and the World Wildlife Fund

(W.W.F.) advocate the managed harvesting of wild animals in

those situations where economic incentives are likely to be

the most effectiv e motivator for species conserv ation

(I.U.C.N. 1981). Myers (1983) put the argument this way:

"The more we can demonstrate the economic value of wild

species, the more we shall add a much-needed weapon to our

arsenal of conservation arguments. There is hardly another

argument in support of threatened species that carries so

much weight as the economic argument."

Wild game cropping for meat and skins has been

profitable for decades. Dasmann (1964) reported that the

Soviets harvest 120,000 - 150,000 saiga antelope (SaigE

tatarica) from their steppes on a sustained yield basis,

i.e., without reducing the breeding stock. Cattle ranchers

in Zimbabwe double their income by managing for impala

(Aepycros melampus) as a secondary crop (Hanks et al . 1981).

In South Africa, kudu, (Tragelaphus strepsiceros) (Rudman

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2

1983) and springbok (Antidorcas marsuRialis) (Joubbert 1983)

are managed on a sustained yield basis with considerable

profit. Joubbert (1983) reported that in 1979 over 43,000

springbok carcasses were exported to Europe where, the

demand for game meat had quadrupled over the previous few

years.

Similar examples of economic use of wildlife for

conservation occur in South America . Two indigenous wild

camelids, the vicuna (Vicug!l§. vicug.!l§.) and the guanaco (Lama

guanicoe) were important bases for precolumbian Andean and

Patagonian Indian economies (Franklin 1982a and 1982b).

Koford (1957, . 1960) advocated sustained yield management of

vicuna. Excessive uncontrolled persecution and resulting

population decline, however, necessitated a strategy of

complete protection in the 1970s. When the population

recovered in the late 1970s and harvesting schemes were

studied, Otte and Hofman (1981) emphasized that "the problem

is how to compensate the local people for their agreement to

tolerate vicunas on their land and allow this species to

share the grazing with their domestic stock. Such economic

incentives for conservation are the only ones likely to be

accepted in developing countries." The vicuna surely would

have been pushed near extinction if a rational and

scientifically managed use had not been demonstrated

(Franklin 1982b).

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3

The guanaco is historically the dominant, large

mammalian herbivore in the Patagonia, but their numbers have

been reduced from great abundance (Darwin 1839) to less than

1 million (Franklin 1982a). In Argentina, newborn guanacos

(chulengos) are unscientifically but legally harvested for

their skins (Franklin 1982a). Cajal (1981) reported that in

1979 more than 86,000 chulengo skins were legally exported

from that country for a total price of over $3.5 million or

about $40/skin.

Guanacos are protected by law in Chile. There are

12,000 - 14,000 on the island of Tierra del Fuego, but on

the continent they occur in large numbers in few places,

including Torres del Paine National Park where they are

protected by patrolling CONAF (Corporaci6n Nacional

Forestal) guards. Guanacos are illegally persecuted outside

the park. In a local town, I was offered a chulengo skin

bedspread for $500 . The Chilean national parks, morever,

may in the near future be threatened with reduction in area

(Miller et al. 1983) . Innovative guanaco management

strategies are needed if the species is to be conserved in

its Patagonian environment .

Sustained yield management of guanacos has been

proposed by Franklin (1978a, 1982a) Cunazza (1980), and

Miller et al. (1973, 1983). Verscheure (1979) explored the

marketability of guanaco meat, wool and skin products and

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4

believed the meat to be the most marketable product in

Chile. Guanaco meat can be sold for as much as three times

the price of beef in Chile (Miller et al. 1973) and may also

be marketable in Europe. Thus, the potential seems great

for exploiting the economic value of guanacos as a means of

justifying and promoting the conservation of the species.

As Miller et al. (1983) warned, however, the implementation

of management for economic return will require "substantial

augmentation of the biological data base upon which

effective conservation plans must be based."

The overall goal of this study was to expand the

biological data base for guanacos. It had already been

established that the study population at Torres del Paine

National Park in southern Chile was migratory. Males and

females formed large mixed nomadic aggregations in winter,

while in summer, females were stationary in family groups

(FGs) on single male-defended territories, and bachelor

males formed male groups (MGs) (Franklin 1982a, Wilson 1982,

Ortega 1985). Objectives of the current investigation were

to 1) study guanaco population dynamics with specific

reference to: population increase, natality, survival, and

mortality rates, and 2) explore the harvestability of the

population using a modified Leslie matrix simulation model

(Leslie 1945, Clark 1985). It is hypothesized that a

surplus of sub-adult males exists in free-living guanaco

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5

populations and a proportion of the males in male groups

could be harvested annually without causing population

decline.

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6

STUDY AREA

The study area was a 40 km 2 peninsula within the Torres

del Paine National Park (72° 55' W, 51° 3' S) 350 km north

of Punta Arenas, Chile (Fig. 1). Lake Nordenskjo l d and the

Paine River border the peninsula on the north and northwest,

Lake Pehoe on the west, Lake Sarmiento on the south, and the

Goic sheep and cattle ranch on the east. To the immediate

north and west is the 2346 m Paine mountain massif and the

glaciers descending from the Patagonian ice field. Rugged

shale and conglomerate foothills, 100 - 200 m abov e lake

level, transect the study area north to south in a series of

four almost equally spaced ridges. Some 30 medium-sized

permanent freshwater lakes and numerous small , intermittent

ponds lie within the study area.

This region is dominated by the treeless Patagonian

steppe that grows in areas with a fairly uniform seasonal

distribution of less than 400 mm annual precipitation and

without a definite dry season (Pisano 1974). On the thin

and rocky upland soils with rapid drainage grow perennial

grasses and spiny shrubs surrounded by small herbs and bare

ground. The well-developed lowland soils with slow drainage

grow dense and lush green meadows of short grasses and

herbs.

Temperatures av erage 15°C in summer and 1°C in winter

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Figure 1.

GUANACO STUDY AREA t o H 1U dul Paine Nallonal Po1k

Magallan••. Chllo

Co mpoalle Map ham 1 Summt1f Censu•••

Nov. 1D81 - Jan 1984

Lago No,dan•lil}old

--- lakeaho•• - - - - Pe rk Boundary

··-···-- ··· Ro ad e ._hie 01 oup 2 animal• • Mata Oroup 3 - 10 animals e Mala Group more H1an tO anlmala

0 S o llt •r y Mala

~~epaatad Obaarvallona ol Solitary Mala

~r.amlly Group

••a Repealed Obur ... atlona ol famlly Group

0 Caplura Corral II!!I: Soulhwa•I Boundary ol Study Ana

N

I"'"

\ \

\

' \ I

Map of the study area and results of 7 censuses conducted during the summers of 1981 1984 indicating the locations of Male Groups, Family Groups, and Solitary Males

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8

with only 1 or 2 months frost-free in summer (Pisano 19 74).

Seasonal and daily oscillations of temperature are great.

High winds occur all year, but are less frequent in winter.

Torres del Paine National Park was established in 1969

and expanded in 1975 to include the eastern half of ' the

study area. Prior to 1975 the land was ov erstocked with

sheep and cattle, as indicated by the predominance of

invader shrubs, but is now recov ering from that damage

(I.U . C.N. 1982).

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9

METHODS

Censuses

Sixteen total count censuses were done between July

1981 and February 1984. Fixed routes were followed on foot.

Binoculars and a 20-40X telescope were used to identify the

age and sex of guanacos. Based upon preceding field studies

three age classes were recognized (Franklin 1982a): adults

were animals ~2 years old, yearlings 1 year old, and

chulengos (juveniles) <l year old. Yearlings were

recognized by their shorter rostrum, more steeply sloped

frontals, smaller size, and more curly hair on the flanks

than adults.

Males were recognized by their darkly colored penis and

often visible testes. With frequent verification of sex

solitary adults were classified as territorial males. Male

groups were any aggregations of 2 or more non-territorial

males ~l year old.

Females were recognized by their dark perineum, the

close proximity of a chulengo or nursing yearling, lack of a

v isible penis, and by their gregarious nature. There was

invariably only one male present in family groups, so the

rest of the adults were assumed to be females. Chulengos

were not sexed. Guanacos for which the sex and age could

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10

not be identified were classified as unknowns.

The location, time of sighting, group size, and age and

sex composition was recorded on aerial photo maps for all

guanacos counted. Immediately following a census day these

notes were reviewed to eliminate guanacos counted more than

once. Census results for 1975 - 1980 were obtained from

CONAF (unpublished reports, CONAF, Torres del Paine National

Park, Puerto Natales, Chile). CONAF censuses were done

using methods which differed from those used in this study

and they produced highly variable results. Paul Wilson

(Research Assistant, Dept. Animal Ecology, ISU, pers . comm.)

provided the 1981 results. Wilson did the 1981 census

using methods very similar to those used for this study.

Skull Collection

All guanaco skulls and mandibles encountered during the

study were collected. Skulls were aged by the tooth wear

and replacement criteria developed from known-aged guanacos

(Raedeke 1979). To check the accuracy of those criteria, I

sent incisors from 42 adult skulls to Matson's

Microtechnique of Milltown, Mt . for aging by the cementum

annuli method (Larson and Taber 1980).

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Chemical Immobilization

One yearling female and 33 male guanacos were

immobilized using an initial dose of 500 mg Xylazine

Hydrochloride (Rompun) delivered by a projectile-syringe and

a Cap-Chur rifle (Palmer Chemical Co . ) . Larger males often

required a second injection of 300 to 500 mg Rompun by hand

or dart. Of these 33 males, 11 were captured in a corral

constructed in a meadow frequented by male groups and

subsequently immobilized. Immobilized animals were sexed,

aged, ear tagged with numbered plastic cattle tags, and

released. Radio transmitter collars were placed on 6

guanacos. Marked animals facilitated the observation of

male social dynamics and increased the accuracy of censuses

through the elimination of doubly counted groups. Radio

collars facilitated locating guanacos and detect ing

movements in and out of the area.

Simulation Modelling

Modifications of Leslie's (1945) projection matrix

population model have been widely used in modeling

population harvesting (Usher 1972, Fowler and Smith 19 73,

Beddington 1974, Doubleday 1975, Rorres and Fair 1975,

Fowler and Barmore 1976, Fowler 1980, DeMaster 1981 , Harwood

1981) . In its simplest form , the projection matrix model

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premultiplies an initial age distribution column vector [NJ

of the number of animals in each age class by a square

projection matrix [AJ to calculate the numbers in each class

one time unit later. In the projection matrix, the top row

contains the age-specific natality rates, and the from the

second row down is a subdiagonal containing the age

age-specific survival rates. The process can be continued

for many cycles, remultiplying the new age distribution

vector by the projection matrix to simulate population

growth under the regime of the particular projection matrix.

NOLES (Clark 1985), the formulation used in this study,

uses a similar array of age-specific surv i v al and natality

rates, and NOLES improves on the realism and utility of

matrix modeling by allowing separate treatment of the sexes,

polygynous mating, and sex- and age-specific harvesting.

Into NOLES the user puts sex- and age-specific surv i v al and

natality rates, sex ratio at each age, the degree of

polygyny as the maximum number of females one male of each

age class can breed per cycle, age- and sex- specific

harvest rates, and the numbers of animals in each age class

in the initial population. NOLES simulates population

growth of the males and females and calculates the total

population size for each sex at each cycle for the number of

cycles the user indicates. Harvested animals are remov ed

from the population after reproduction and natural mortality

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13

have been calculated for each cycle . Thus, harvest

mortality is in addition to natural mortality. When males

are harvested, the NOLES output indicates the cycle in which

there were too few males to breed a ll the adult females

according to the degree of polygyny input . NOLES also has

the capacity for simulating density-dependent and stochastic

survival and natality rates, but these options were not used

here due to insufficient data to estimate carrying capacity

and survival and natality variances.

The age - specific survival (p 0 ) inputs to NOLES for the

Torres del Paine guanaco population were calculated from

life table analysis. Survival rate inputs were the same for

males and females. The initial age distribution input was

the L series calculated from the life table using L =c Nt x x x

where cx=lxi Z. lx (Pielou 1969), and Nt=800 to approximate

the present population size. The age-specific natality rate

for all age classes of adult females ~3 years old was the

mean rate calculated from the 1981 - 1984 post-reproductive

censuses. For females 2 years old, I used Raedeke's (1979)

estimate of 2-year-old fecundity (0.37) from the analysis of

reproductive tracts of guanacos on Tierra del Fuego. The

sex ratio of guanacos <2 years old (61% female) was obtained

from the post-reproductive censuses . I assumed 50% females

for chulengos and an intermediate 55% females for yearlings .

The initial degree of polygyny input (7) was the mean number

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of females in the family groups counted in the

post-reproductive censuses. To compare the simulated

population growth using the initial age-specific survival

and nataliy rates without harvest with the growth rate

calculated from census results, the program was run to

simulate 20 annual cycles of births and deaths. The

resulting mean exponential population growth rate was

calculated as rs=(LogeN 19-LogeNo) / 20 (Caughley 1977, p.52).

Additional 20-year simulations were run to examine the

effects of changes in the natality and chulengo survival

rate inputs, and to simulate harvesting.

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15

RESULTS AND DISCUSSION

Censuses

CONAF counts of guanacos in the study area from 1975 -

1980 exhibited an erratic pattern due likely to varying

methods and inexperienced workers (Table 1). Counts from

1981 - 1984 are more reliable because they were done by

experienced observers following similar census routes each

year. The reliability of censuses was checked by comparing

back-to-back replications. The 1983 one-day count (770

guanacos) involved 6 experienced observers who divided up

the 1981/ 1982 established routes into smaller portions; the

next day the same 6 experienced observers, aided by 12

relatively inexperienced volunteers, counted 771 guanacos.

In 1984, 3 experienced observers did a 2-day count (787

guanacos) following the same routes; the next day, 4

experienced observers and 12 inexperienced volunteers

counted 761 guanacos. Thus, although volunteers probably

incorrectly aged and sexed some guanacos, the near

repetition of the total counts indicated good precision.

Rate of Increase

The 1975 - 1980 counts indicated growth of the guanaco

population since the institution of park protection. The

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Table 1. Post-reproductive censuses of the 40 km2 study area

Date Total Adult Adult Yearling Yearling Juv Unk Count Males Females Males Females

Feb 75 97a 36

Apr 76 218 69 60 -(29)b 60

Jan 77 262 56 56 -(80) 56 14

Jan 78 143 58 27 -(34) 13 11

Apr 79 700 76 203 -(307) 114

Jan 80 392 15 126 -(167) 84

Apr 81 560 210c 244 106

Jan 82d 616 162 200 48 36 1 28 42

Jan 83d 770 174 296 26 36 200 38

Jan 84d 787 196 275 71 51 188 6

ain 197 5 , adults we r e no t s e xe d and ye arlings were counte d as adults.

bin 1975 - 1980 censuses, al l male s in male groups we re counted as ye arlings.

cln 198 1 , a ll yearling s were c ounte d a s male s.

dThis study (see t e xt for sources of other data).

I-' O'I

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17

unreliability of these early counts, however, precluded

their utility in calculating a growth rate, and only the

results from 1981 - 1984 were used for analysis. The mean

observed exponential rate of increase, F, was calculated

from the 1981 - 1984 post-reproductive counts (Table 1) as

the slope of the linear regression of the natural logarithm

of population size vs. time (Fig. 2) (Caughley and Birch I

I 1971). L The 1981 - 1984 growth rate, r=0.12 (r -0.92,

P <0.05), is the best estimate of the recent trend in the

park's guanaco population. Future careful censuses will be

able to check this result. It is expected that the

population at Paine will continue to grow since the park's

vegetation is recovering from livestock overgrazing

(I.U.C.N. 1982) and many areas of preferred forage types

(Ortega 1985, Jefferson 1980) were underutilized by

guanacos.

Natality

Natality is the annual rate of live births produced per

adult female. Exact age-specific natality was unattainable

in this study because live females could not be aged beyond

2-years old. Natality rates in large mammals, however, show

little variability after females reach adulthood (Caughley

1977, Fowler 1980); thus, an average natality rate of

females 2+ years old was calculated from the 1982 - 1984

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18

6.5- •

6.0-

Loge N t

5.5- • •

5.0- •

4.5-~

I I

75 76 77

. Year of Census

---•

80 I

81

_ .... -

I

82

,,,. __ ..- ... ,.,

I I

83 84

Figure 2. Natural logarithm of population size (LogeNt)

vs. time for the results of post-reproductiv e

censuses 1975 - 1984. The dotted regression

line was fit only to the more reliabl~ 1981 -

1984 censuses

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19

post-reproductive counts of chulengos per adult female <2

years old (1982: 128/200=0.64, 1983: 200/ 296=0.68, 1984:

188/ 275=0.68). Post-reproductive counts were corrected for

neonatal mortality before census time and for the lower

natality of 2-year-old females.

Correction was made for the estimated mortality of

chulengos between the mid-December birth season (Gladys

Garay, Catholic University of Chile, pers. comm.) and the

mid-January post-reproductive counts by estimating the

monthly-chulengo survival rate as the twelfth root of 0.686,

the first-year survival rate (see later section on life

table analysis). Chulengo counts in mid-January, therefore,

represented about 97% of those born that season. The

estimated total number of chulengos born were 1982= 132,

1983= 206, 1984= 194. At best, this is a approximate

correction for chulengo mortality in the first month of

life, because calculating the monthly survival rate as the

twelfth root of the annual rate assumes constant mortality

all year, whereas chulengos probably suffered a higher

mortality rate during the first few months compared to later

in the year. The effect he r e would be an underestimation of

the number of chulengos born each year.

Most female guanacos do not breed until 2 - years old and

after an 11 1/ 2 month gestation they give birth to 1

offspring and rebreed within 2 weeks after giv ing birth

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20

(Franklin 1982a). The first time mammalian females are

capable of reproducting, they are often less fecund than

fully adult females (Fowler 1980, Hanks 1981). Raedeke

(1979) found this to be true for 2-year-old guanacos

necropsied on Tierra del Fuego (fecundity=0.37).

Unfortunately, 2-year-old females could not be visually

distinguished from 3-year-olds during Paine field censuses.

To estimate natality for females ~3-years old the

number of 2-year-old, females was estimated and subtracted

from the adult female counts and their estimated numbers of

chulengos were substracted from the estimated total numbers

of chulengos born. Life table survival rate of yearlings

(0.83) multiplied by census counts of female yearlings one

year (1982: 36, 1983: 36) estimated the number of 2-year-old

females the next year (1983: 30, 1984: 30). Assuming their

natality rate was the same as the fecundity rate of

2-year-olds on Tierra del Fuego (0.37), they produced 11

chulengos each year. Therefore, subtracting these 11

chulengos from the estimated total numbers of chulengos born

and their 2-year-old mothers from the original adult female

counts, yielded the final adjusted natality rates 1983:

195/266=0.733, 1984: 183/ 245=0.747 (X=0.74) chulengos per

adult female ~3-years old. There was no adjusted natality

rate for 1982 since there was not a reliable yearling count

from 1981.

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21

Sex Ratio

The proportion of females (Pf) in the adult population

was calculated as the number of adult females divided by the

total number of adults in the post-reproductive censuses

(Downing 1980). Because censusers were inexperienced in

sexing adults in 1982, only the 1983 and 1984

post-reproductive counts were used. Using a large sample

approximation of a binomial test statistic (B*) (Hollander

and Wolfe 1973, p.16), the observed proportion of females

was significantly greater than 0.5 both years (Table 2).

The mean Pf from the 1983 and 1984 censuses was 0.61, with a

95% confidence interval from 0.576 to 0.638. Thus, females

outnumbered males in the study area. Our observations of

marked animals and conversations with CONAF personnel and

neighboring ranchers did not indicate a significant movement

of animals in or out of the area sufficient to affect this

ratio. The observed sex ratio was likely attributable to

sex differential mortality. Males may be subjected to

higher mortality rates than females due to the sometimes

violent nature of male-male interactions within male groups

and between adult males varying for breeding territories. I

saw several males with large wounds and debilitating leg

injuries apparently inflicted in territorial fights.

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22

Table 2. Proportion of females (Pf) in the adult

population from 3 post-reproductive censuses

1983 and 1984 (B*= large sample approximation

of binomial test statistic

Year S.E. B* P(larger B*)

1983 0.63 0.022 5.62 P< 0. 0 01

1984 0.58 0.001 3.64 P<0.001

Page 29: Population dynamics and preliminary estimates of the ... · The guanaco is historically the dominant, large mammalian herbivore in the Patagonia, but their numbers have been reduced

23

Survival and Mortality Rates

Age-specific survival and mortality rates were

generated by life table analysis of the 243 guanaco skulls

collected in the study area (Table 3). Time-specific life

table analysis assumes 1) zero growth, 2) stable age

distribution, and 3) accurate aging (Caughley 1966, Seber

1973). Violation of any of these assumptions causes the

table to be inaccurate. Caughley (1966, 1977) discussed

life table analyses and presented ways of adjusting for

violation of these assumptions. Albeit somewhat forced,

such treatment yields an approximate sketch of important

population processes. The notation used here (Table 3) is

that suggested by Caughley (1977, p.91).

If growth is not zero and a population has been

increasing at a constant exponential rate (r) for some time,

the frequencies of ages at death (f') can be adjusted by a x

factor erx, where e=2.718, r=the mean observed population

growth rate (here r=r=0.12 from the 1981 - 1984 censuses),

and x is the age at the beginning of the age class. The

life table is then calculated from the adjusted frequencies

Since the approach of calculating a life table

based upon such a collection of skulls depends upon the

assumption of zero growth, it is circular to adjust the

skull frequencies by a known growth rate and then to

calculate a population growth rate based upon the resulting

Page 30: Population dynamics and preliminary estimates of the ... · The guanaco is historically the dominant, large mammalian herbivore in the Patagonia, but their numbers have been reduced

Table 3. Time-specific life table based upon 243 guanaco skulls from natural mortalities collected within the study area at Torres del Paine National Park

Age f' f 'e rx d 1 Class x x x x PX qx

0-1 111 111 0.316 1.000 0.686 0.314

1-2 36 41 0.116 0.686 0.831 0.169

2-3 6 10 0.028 0.570 0.951 0.049

3-4 13 19 0.054 0.542 0.856 0.144

4-5 14 23 0.065 0.489 0.867 0.113

5-6 12 22 0.062 0.424 0.853 0.147 N

""" 6-7 8 16 0.045 0.362 0.875 0.125

7-8 14 32 0.090 0.316 0.714 0.286

8-9 14 36 0.102 0.226 0.550 0.450

9+ 14 44 0.124 0.124 0.000 1.000

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25

life table survival rates. If the age distribution is

stable, however, the correction helps approximate

age-specific rates and is used here to generate survival

rates for use in the simulation model. The effects of this

shortcoming in the calculation of survival rates will be

further discussed below.

It is unlikely that the Paine guanaco population would

have a stable age distribution; but if numerous fluctuations

in the growth rate of the population occurred during the

period over which the skulls accumulatd, a sufficiently

large sample ( >150) would balance out the effects of the

fluctuations on the age distribution and a stable age

distribution would be approximated (Caughley 1977, p. 95).

Prior to this study, skulls had accumulated for at least the

25 years since the beginning of protection as a park, a

period probably longer than that of several fluctuations in

population growth rate .

Accurate aging is critical to the accuracy of the life

table (Caughley 1977, Seber 1973). The tooth wear and

replacement criteria used here (Raedeke 1979) were checked

by aging 42 skulls with the more accurate cementum annuli

method (Larson and Taber 1980). Comparing the age

distributions generated by the two methods, the chi-squared

statistic was significant (X2=44, d.f.=9, P <0.001),

indicating that the two methods produced two different age

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26

distributions, but since regression analysis of annuli ages

on wear and replacement ages failed to reject the hypothesis

of unit slope (t=0.0004, d.f.=40, P >0.5}, there was no

justifiable correction of the wear and replacement age

distribution. Until more accurate aging of a large

collection of guanaco skulls is accomplished, the assumption

of accurate aging can only be approximated.

In Table 3, dx=f~erx/ ~f~erx, the proportion of

individuals born which die in the interval x - x+l;

from y=x to the last age class, the proportion of

individuals survi v ing from birth to age x; P x=lx+1 / lx, the

probability at age x of survi v ing to age x+l; qx=l-px, the

probability at age x of dying in the interv al x - x+l . The

Px column in Table 3 was used as the initial male and female

age-apecific survival rates in the simulati on model.

The survivorship (lx) and mortality rate (qx) c urv es

are shown in Figures 3 and 4, respecti vely. The mortality

rate curve is most suited for comparison with the results

0

from other studies (Caughley 1966) . Guanacos in Paine have

experienced mortality rates similar to guan acos studied in

Tierra del Fuego by Raedeke (1979, Fig . 4). Guanacos are

clearly most vulnerable in t heir first 2-years. Three

mortality factors occur in both populations: 1) predation

by puma (Paine) or man (Tierra del Fuego}, 2) starv ation

during sev ere winters, especially in times of heav y snow,

Page 33: Population dynamics and preliminary estimates of the ... · The guanaco is historically the dominant, large mammalian herbivore in the Patagonia, but their numbers have been reduced

1.00

0.80

0.60

0.40

0.20

·-·

27

Torres del Paine (N=243)

Tierra del Fuego (N=541)

0.00_.. ________ ...... ~ ....... ~~..-~

0 2 4 6 8 10 Year Class

Figure 3. Guanaco survivorship curves based upon life

table analyses of skulls (N) collected from

natural mortalities at Torres del Paine (this

study) and Tierra del Fuego (Raedeke 1979)

Page 34: Population dynamics and preliminary estimates of the ... · The guanaco is historically the dominant, large mammalian herbivore in the Patagonia, but their numbers have been reduced

28

1.001 • • /

I

I I

p . 1 I

•-•Torres del I 0.40 a1/!'·\ ,'

•---•Ti err a del \ I / '

• ' I Fu ego I \

/ " 0.30 I

/ . , I

qx I I

I I

0.20 I • ;

; ;

' ;

~ . ., 0.10 -1~~~- .

• 0.00

0 2 4 6 8 10

Year Class

Figure 4. Guanaco mortality rate curves from life table

analyses of skulls collected at Torres del

Paine (this study ) and Tierra del Fuego

(Raedeke 1979)

Page 35: Population dynamics and preliminary estimates of the ... · The guanaco is historically the dominant, large mammalian herbivore in the Patagonia, but their numbers have been reduced

29

probably occurs in both populations, 3) the often violent

expulsion of young from their natal family groups at about 1

year of age and subsequent wandering of the expelled young

probably caused some subadult mortality.

Social Distribution and Dynamics of Males

The 3-year unweighted mean percentages for the social

distribution of all males was 45% in MGs, 27% territorial,

and 28% chulengos. Of the males ~1 year old, 37% possessed

territories and 63% were in MGs. Forty-five percent of all

territorial males had FGs and 55% were solitary (Table 4).

The social dynamics of guanaco males have been

described by Franklin (1978b, 1982a, 1983) and Wilson

(1982). Males joined MGs as 1-year-old when expelled from

FGs by FG territorial males, but these authors were unable

to determine the age at which guanaco males became

territorial. Franklin (1978b) judged that "large-prime

individuals'' in MGs were 4-6-years old. The mean age of 6

FG territorial males collected (shot) by Raedeke (1979) was

8 years old (range 6-11). If MGs are to be selectively

harvested, knowledge of the age at which they become

territorial is important to quantitatively model population

dynamics and the effects of harvesting. Enough males should

be left in the MGs in the age class graduating to

territoriality so as not to undermine the annual supply of

Page 36: Population dynamics and preliminary estimates of the ... · The guanaco is historically the dominant, large mammalian herbivore in the Patagonia, but their numbers have been reduced

30

Table 4. Social distribution of males from 3 post­reproductive censuses

Year N

1982 275

1983 300

1984 361

Mean

S.D.

aAssumes a

Percent

Territorial

Family Groups

11

14

11

12

1. 7

Solitary

20

12

13

15

4.4

50:50 sex ratio for 0

Male Groups

46

40

50

45

5.0

chulengos.

Chulengosa

23

33

26

27

5.1

Page 37: Population dynamics and preliminary estimates of the ... · The guanaco is historically the dominant, large mammalian herbivore in the Patagonia, but their numbers have been reduced

31

physically and socially mature breeding males.

Of the 33 males immobilized and ear tagged, 7 were

tagged as yearlings. All were in MGs during their first

summer at 1 year of age. Of the 7, 4 were located when

2-years old: 3 in MGs all summer, and 1 which, after being

seen twice in MGs, left the MGs to become territorial late

in the summer (Table 5).

Six males were tagged as 2-year- olds. All spent the

summer in MGs. When 3-years old, 4 of the 6 remained in

MGs, while 2 were territorial , either solo or with females .

Only 2 of the 6 were seen as 4-year-olds and both were

territorial (Table 6) .

Six males were 2 - 3-years old (i.e ., not clearly one or

the other) when tagged . All spent the same summer in MGs.

The next summer, when 3-4-years old, 4 of t h e 6 we r e

located: 2 were in MGs , 1 was seen both in MGs and on a

territory (mov ing from one status to the other several

times), and the fourth was territorial. One of the 2 in MGs

dispersed >lOkm east of the study area and did not return.

As 4-5-year-olds, 4 of the 6 were located: 1 was seen only

in MGs; the other 3 were territorial (Table 7) .

Three males were estimated to be 4-year -olds (± ly)

when tagged . All 3 were territorial but 1 was also seen

occasionally in MGs. When 5-years old all 3 again were

territorial , but 2 of the 3 were each seen once in a MG that

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32

Table 5. Social status of males tagged as yearlings.

Tag number

1/126

2/24

16/20

22

79

84

87

Abbreviations: M~male group; ST=solitary territorial; FG=territorial with females present; S=solitary, non-territorial. Tag numbers are given as right ear/left ear; a single number indicates right ear only was tagged

Social status at ly old

Number of sightings

Social status at 2y old

Number of

sightings

MG

MG

MG

MG

s

MG

MG

MG

9

5

12

7

2

. 13

12

9

MG

MG

ST

FG

MG

ST

MG

7

2

1

1

8

1

4

Page 39: Population dynamics and preliminary estimates of the ... · The guanaco is historically the dominant, large mammalian herbivore in the Patagonia, but their numbers have been reduced

33

Table 6. Social status of males tagged as 2-year-olds. Abbreviations are the same as in Table 5

Tag Status Number Status Number Status Number number 2y old of 3y old of 4y old of

sightings sightings sightings

3/5 MG 39 MG 10 MG 7

s 1 ST 5

Dead

11/8 MG 18 MG 6 MG 7

s 1 ST 2

80 MG 8 MG 2

s 1

85 MG 4 - MG 6

ST 1

FG 2

86 MG 4 MG 9

115/116 MG 3 ST 3

FG 7

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34

Table 7. Social status of males tagged as 2 or 3-year-olds. Abbreviations are the same as in Table 5

Tag Status No. of Status No. of Status No. of number 2/3y sights 3/4y sights 4/Sy sights

4/6 MG 42 MG 21 MG 21

s 1

·13/12 MG 15 ST 1

FG 2

17/18 MG 10 s 1 ST 5

FG 11 FG 6

s 2

127/132 MG 16 MG 9 ST 11

s 2 MG 1

ST 7

19/21 MG 8

Dead

133 MG 3 s 1

MG 2

Emigrated

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35

summer (Table 8).

The ages of 10 fully adult males and an eleventh

identified only by its cut ear were estimated to be 4-years

old or more. In the first summer observed, 1 spent the

entire summer in MGs. Three of the other 10 were seen in

MGs once or twice, and were 9therwise territorial. During

the following summer, 10 of the 11 were relocated. All were

again territorial. Five of the 10 were seen once or twice

that summer in MGs. Two were located during a third summer

of observation: both were territorial, but one was seen in

MGs at the end of the breeding season (Table 9).

It appears that male guanacos generally spent 3 summers

in MGs when 1-3 years old. When 4-years old most became

territorial, at least part time. Some males left the MGs to

become territorial before 4-years old and some older

territorial males visited the MGs sporadically. Thus, MGs

in summer were composed principally of animals l, 2, and 3

years old but also contained some older visitors.

Male group zone

Franklin (1978a, 1983) first reported the existence of

guanaco Male Group Zones in Torres del Paine. Males were

consistently excluded from the areas where FG and solitary

males defended territories. Ortega (1985) and Paul Wilson

(pers. comm.) also observed this phenomenon at Paine.

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36

Table 8. Social status of males tagged at about 4-years-old. Abbreviations are the same as in Table 5

Tag Status Number of Status Number of number about sightings about sightings

4y old Sy old

83 ST 1 FG 5

MG 1 ST 7

FG 2 MG 1

103/104 MG 4 ST 7

ST 6 FG 2

MG 1

130/131 FG 5 ST 8

FG 2

Page 43: Population dynamics and preliminary estimates of the ... · The guanaco is historically the dominant, large mammalian herbivore in the Patagonia, but their numbers have been reduced

37

Page 44: Population dynamics and preliminary estimates of the ... · The guanaco is historically the dominant, large mammalian herbivore in the Patagonia, but their numbers have been reduced

MG 1

77 FG 1 ST 1

FG 11

113/114 MG 1 FG 3

FG 1

ST 1

117/118 ST 1 ST 6

FG 1 FG 3

128/135 ST 1 MG 8 w

FG 3 00

ST 1

106/105 ST 2

Flop-back FG 6 ST 1 ST 11 left ear

ST 2 FG 1

a . d MX=mixe group, composed of females with young and more than 1 male.

Page 45: Population dynamics and preliminary estimates of the ... · The guanaco is historically the dominant, large mammalian herbivore in the Patagonia, but their numbers have been reduced

39

Raedeke (1979) reported similar exclusion of bachelor males

from breeding areas on Tierra del Fuego.

Most bachelor males in MGs (Fig. 1) were found in an

area roughly bordered by Lago Cisnes on the west, Lago

Flamencos on the east, and by the two roads on the north and

south. This MG zone is the same one reportd by Wilson

(pers. comm.) for summer 1980-1981; but Franklin (19 78a) and ·

Ortega (1985) in the summers 1977-1978 and 1979-1980,

respectively, found MGs and FGs concentrated further east,

in the proximity of Paso de la Muerte. There seems to hav e

been a shift of the population towards the eastern port i on

of the study area.

The MG zone was nearly devoid of territorial males.

FGs, each with a territorial male, were concentrated to the

extreme east of the area. Solitary territoral males and FG

males formed a mosaic of territories surrounding the MG

zone. The predictable nature of zones where males are well

separated from FG territorial areas suggests that

sex-selective harvesting of guanacos from MGs could be done

without disturbing females and young in FGs.

Simulations of the Unharv ested Population

The mean exponential popu l ation growth rate from the

20-year simulation based upon the life table surv i v al rate

and census natality rate inputs was r5

=0.031. This is low

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40

compared to the observed exponential rate (F=0.12)

calculated from the 1981 to 1984 censuses. Immigration into

the study area sufficient to inflate the census growth rate

was unlikely since guanacos were scarce in the surrounding

areas. The quality of the 1981 to 1984 censuses and,

therefore, the reliability of the observed growth rate,

suggests that the NOLES model failed in some way to

accurately simulate population growth. The difficulty

probably involved errors in the estimation of input

parameters of natality and survival. Natality was probably

underestimated when I corrected the numbers of chulengos

counted in the post-reproductive censuses to approximate the

numbers born by multiplying the census counts of chulengos

by the reciprocal of the twelfth root of the annual first

year survival rate from the life table. Newborn mortality

was probably higher than chulengo mortality later in the

year, and the chulengo counts should have been corrected by

a larger positive adjustment. This would hav e prov ided

larger age-apecific natality rates. The life table chulengo

survival rate, moreover, was probably innaccurate.

All the life table survival rates were calculated after

adjusting the frequency distribution of skulls by the

observed (census) rate of increase (r=0.12) . This

adjustment assumed that the population had been growing at

that same rate over the time during which the skulls

Page 47: Population dynamics and preliminary estimates of the ... · The guanaco is historically the dominant, large mammalian herbivore in the Patagonia, but their numbers have been reduced

41

accumulated. That the park guanaco population expanded

rapidly since 1975 under park protection is suggested in the

results of the CONAF censuses (Table 1, Fig. 1). Although

the unreliability of the CONAF counts precludes the

calculation of an observed 1975 - 1980 rate of increase, it

is apparent that the population grew more slowly from 1981 -

1984 than during 1975 - 1980, probably due · to a

density-dependent growth rate. So, the skull frequencies

should have been corrected using a larger r, and calculated

survival rates should be larger.

The net effect of underestimating natality and survival

rates was probably sufficient to cause much of the failure

of the model to simulate the observed population growth.

Simulations were run to examine the effects of varying the

natality and chulengo survival rate inputs in the NOLES

model.

Varying the natality of 2-year-olds alone in the NOLES

model did not have a great effect on the simulated

population growth rate (Fig. 5). Even if all 2-year-olds

bred (m2=1.0) the growth rate reached only 0.059, still

lower than observed in the censuses.

Varying the natality of females ~3 years old had strong

effects on the growth rate, and when m~ 3 was less than 0.70,

r was less than 0, (Fig. 6). s When rn~ 3 was increased to

1.0, the maximum possible for guanacos, r 5 was 0.052, again

Page 48: Population dynamics and preliminary estimates of the ... · The guanaco is historically the dominant, large mammalian herbivore in the Patagonia, but their numbers have been reduced

0.08

0.06

0.04

0.02

0.00 0.0

42

-·- .

0.2 0.4 0.6 0.8 1. 0

Natality of year class 2

Figure 5. The effects of changing the natality rate of

year class 2 on the 20-year mean exponential

population growth rate (r ) with the NOLES s model.

Page 49: Population dynamics and preliminary estimates of the ... · The guanaco is historically the dominant, large mammalian herbivore in the Patagonia, but their numbers have been reduced

0.1

0.0

-0.1

-0.2

I I

I I

I -0.3

I

I I

I I

I

I I

I

43

- --· ·--

-0.4...-----~------.... ------...-----...... -------0.0 0.2 0.4 0.6 0.8 1.0

Natality of year classes ~ 3

Figure 6. The effects of changing the natality rates of year classes ? 3 on the 20-year mean exponential population growth rate (r ) with the NOLES model s

Page 50: Population dynamics and preliminary estimates of the ... · The guanaco is historically the dominant, large mammalian herbivore in the Patagonia, but their numbers have been reduced

44

considerably less than the growth rate from censuses.

Population growth was v ery sensitive to changes in the

survival rate (p0

) of chulengos (Fig. 7) . When p0

was less

than 0.7, the population declined in numbers from the

initial input. Only an extremely high chulengo survival

rate increased the simulated growth rate to the observed

rate.

Apparently, both fecundity and chulengo survival were

underestimated, and some combination of increases in these

inputs would increaser to 0 . 12. s

Further study on which

combinations of factors caused the discrepancy should be

accomplished by improv ed data collection, not random

speculation here. Whatever the cause, the natality and

survival rate inputs to the NOLES simulation model need to

be more accurate before the model can accurately simulate

guanaco population growth. For the study of surv i v al, it

would be necessary to mark a high percenttage of the

chulengos of several cohorts. High quality censuses could

then measure the attrition rate of the cohorts throughout

their lives. Data from sev eral years should be able to

prov ide a sense of the stochastic nature of these processes

to further improv e the sophistication of the simulations.

Also, the density-dependent nature of natality and surv i v al

rates should eventually be incorporated into the simulation.

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45

0. 10 -· , ....... ,,,.

0.00 , ....

;

rs ,,.

; .,,. , ,

/

-0.10 /

/ / ,

•' /

-0.20 /

/ /

/ /

-0.30 0.0 0.2 0.4 0.6 o.a 1. 0

Chui en go survival rate

F.igure 7. The effects of changing the chuL~ngo survival

rate (po) on the 20-year mean exponential

population growth rate with the NOLES model

Page 52: Population dynamics and preliminary estimates of the ... · The guanaco is historically the dominant, large mammalian herbivore in the Patagonia, but their numbers have been reduced

46

Simulations of Harvesting Chulengos

Until the accuracy of the estimates of survival and

natality rates is improved and their density-dependent and

stochastic natures are included in the model, simulations

with NOLES provide tentative estimates of the harvestability

of guanacos. The tolerable harvest rates estimated by the

following simulations are dependent upon the natality and

survival rate inputs, and the harvestability estimates which

follow should be considered preliminary, and are not

intended to be taken as management recommendations.

Because chulengo skins are the traditionally marketed

guanaco product, several NOLES simulations were run using \ .

the natality rates calculated from census and life table

survival rates to explore the effects of harvesting this age

class on population growth. Similar to the effects of

varying the chulengo survival rate (Fig. 7), the population

growth rate ~eclined rapidly as the fraction of chulengos

harvested was increased (Fig. 8). Population growth rate (rs)

became negative when more than 15% of the chulengos were

harvested for 20 years. Such a fixed annual chulengo

harvest rate (i.e., from deterministic NOLES modeling),

however, discounts the potentially important effects of

expectably large year-to-year variations in natality and

natural chulengo mortality due to the stochastic nature of

the guanaco's environment. A chulengo harvest program for

Page 53: Population dynamics and preliminary estimates of the ... · The guanaco is historically the dominant, large mammalian herbivore in the Patagonia, but their numbers have been reduced

0.10

0.05

0.00

r -0.05 s

-0.10

-0.15

' ' ' .. ---,._ ' '

47

' ' ' ... • ' ' ' ' ' '

' \

\ \

\ \

' \ \

-0.20 _.....-....... --....... - ....... ---. 0.0 0.2 0.4 0.6 0.8

Fraction of chulengos harvested

Figure 8. The effects of harvesting chulengos on the

20-year mean exponential population growth

rate (r ) with the NOLES model s

Page 54: Population dynamics and preliminary estimates of the ... · The guanaco is historically the dominant, large mammalian herbivore in the Patagonia, but their numbers have been reduced

48

any population should be supported by continuous high

quality monitoring of population size and natality.

Simulations of Harvesting Males from Male Groups

Most polygynous mammal populations have more males than

needed to mate with reproductively active females, and

traditionally male-only harvesting programs are based on

this fact. Franklin (1978a, 1982a) recognized the existence

of a harvestable surplus of males in the polygynous guanaco,

and speculated on the feasibility of harvesting males from

MGs. The biological feasibility of such a program is

supported by the fact that, at Paine, only 17% of the males

1 year· old or older possessed territories with females

during the breeding season (Table 3). Harvesting males

would be logistically feasible because MGs frequent a Male

Group Zone apart from the breeding territories (Fig. 1).

Although older marked males were found intermittently

in MGs, simulated harvesting was applied only to year

classes 1, 2, and 3, the age classes primarily making up

MGs. Harvesting simulations used the natality rates from

censuses and life table survival rates, and the

harvestability projections are dependent upon these inputs.

In the simulations, the allowable harvest rate of males 1-3

years old depended upon the maximum number of females one

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49

breeding territorial male <4 years old could breed each

year. In the post-reproductive censuses, the mean number of

females in a family group was 7. Assuming 7 females to be

the maximum number that could be mated by each breeding

male, and that all males <4 were fertile and available,

approximately 30% of the MG males could be harvested before

reproduction was affected (Fig. 9) . If 20 females were bred

by territorial males, about 50% of the males could be

harvested from MGs. If each breeding male bred 50 females

per year each, about 65% of the males in year classes 1-3

could be harvested.

Few territorial males consistently had as many as 20

females, and the real breeding potential of guanaco adult

males is unknown. A first approximation is that roughly 40%

of the males 1-3 years old could be harvested from MGs in a

sustainable yield program .

Density dependent responses to harvesting were not

included in this model, although most large mammals respond

to changes in density with changes in their natality and

survival rates (Eberhardt 1977, Hanks 1981). Harvesting MGs

would likely decrease intraspecific competition for food and

reduce the interference of non-territorial males with

territorial stability and the rearing of chulengos.

Chulengo survival, 2-year-old natality, adult natality, and

adult survival may be expected to increase, in that order

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0.10

---0.00

-0.10

-0.20

0.0

50

--- ... _ - ---:.-:_-.. ,- - - --· ... ... \ .. ... " \

\ \

' ' ..... \

0.2 0.4

\

\

\ \

\

0.6

' \ \

\

' '

\ \

\ .. I

I

\

20\ \ \ \ • I

50\ • 0.8 1.0

Fraction of males harvested

Figure 9. The effects of harvesting males from male

groups on the 20-year mean ex?onential

population growth rate (r ) in the NOLES s

model. Simulations were done for 3 levels

of polygyny - each male 3+ years old breeding

7, 20, or 50 females per year

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51

(Eberhardt 1977), as a result of reducing guanaco density.

When a sustained yield guanaco harvest program is

implemented, this model could be improved as empirical data

on these responses become available.

Harvesting Unselectively

An alternative strategy to age- and sex-selective

harvesting of males or chulengos would be to harvest

unselectively. If unselective harvesting was conducted in

late summer when the animals would be in prime condition for

the use of their meat and skins, the approp riate finite

harvesting rate would be h=l-e-~ where r is the observ ed

exponential growth rate (Caughley 1977). For F=0.12, from

the 1981 - 1984 post-reproductive censuses, h=0.113 and the

appropriate annual unselective harvest from the current

population would be 90 guanacos/ year. Such an approach,

although numerically conservative, i.e., not likely to

result in overexploitation, would not be practical.

Harvesting unselectively and randomly from a socially

structured guanaco population would be nearly impossible.

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52

CONCLUSIONS

Population Dynamics

The results of this study on population dynamics at

Torres del Paine were similar to the findings of Raedeke

(1979) for the guanaco population at Tierra del Fuego.

Although the accuracy of the life table analysis is suspect,

survivorship and mortality rate curves were similar to what

Caughley (1966) found for other mammals. Natality rates

were similar to other ungulates in similar habitats, but

relatively low compared to ungulates in less harsh, more

fertile environs. The Paine population was increasing

slowly during this study. The increase in numbers of

guanacos in the study area and in the Park as a whole is

expected to continue as range conditions continue to

improve. Density-dependent effects on the population growth

rate via decreasing survival and natality rates should be

expected. Density-dependent effects are suggested by the

apparently slower population growth from 1981 - 1984 as

compared to 1975 - 1980.

Harvestability

The Torres del Paine guanaco population is not legally

harvestable and was here used only as a reference population

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53

for study. Several factors contribute to the biological and

logistic feasibility of age and sex selective harvestability

of guanacos for a sustainable yield. The most significant

is the polygynous mating system that creates a surplus of

pre-reproductive males living in large groups in a zone

apart from the breeding areas. The NOLES matrix simulation

model has the potential to simulate harvesting and its

effects on population growth, but the harvestability

projections of this study should be co~sidered preliminary

until the accuracy of the estimated natality and survival

rates is improved.

Depending upon the number of females one adult male ( <4

years old) can successfully mate during the summer breeding

season, a large proportion (approximately 30%) of the male

group males could be cropped without disrupting or

diminishing reproduction. Male groups, furthermore , were

easily approached by researchers and showed little fear of

entering a capture corral. While chulengo skins are

traditionally the most desired guanaco product, only a small

proportion (15% or less) of the chulengos could be harvested

before causing population decline.

Harvesting guanacos unselectively for a sustainable

yield would be impracticable due to the social structure of

the population. Removal of adults from family groups would

surely be disruptive to reproduction and probably result in

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54

lower fecundity and juvenile survival rates.

The deterministic, density independent NOLES matrix

simulation model used here has provided only first

approximations of the harvestability of guanacos. Improved

data collection in the future should be able to increase the

value of this tool. Further modeling efforts, moreover,

should attempt to include the stochastic nature of survival

and natality rates, as well as the responses of these rates

to changes in guanaco density. Such data will be best

provided by long term monitoring of the survival and

natality of many marked animals and concurrent changes in

population density and range conditions. The paramount

value of the guanacos at Torres del Paine is the unique

opportunity it provides to study.and measure the

characteristics of a natural population.

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55

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Caughley, G. 1977 . Analysis of vertebrate populations . John Wiley and Sons, New York. 234 pp.

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Downing, R. L. 1980. Vital statistics of animal populations. Pages 247-267 in S. D. Schemnitz, Wildlife management techniques manual. 4th ed. Wildlife Society, Washington, D.C. 686 pp.

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Eberhardt, L. L. 1977. Optimal policies for conservation of large mammals, with special reference to marine ecosystems. Environmental Conservation 4:205-212.

Fowler, C. W. 1980. Population models for large mammals. Pages 297-320 in C. W. Fowler, W. T. Bunderson, M. B. Cherry, R. J. Ryel, and B. B. Steele, eds. Comparative population dynamics of large mammals: a search for management criteria. Report MMC-77/ 20. U.S. Marine Mammal Commission, Washington, D.C. 330 pp.

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Franklin, W. L. 1983. Contrasting socioecologies of South America's wild camelids: The vicuna and the guanaco.

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Hanks, J., W. D. Densham, G. L. Smuts, J. F. Jooste, S. C. J. Joubert, P. leRoux, and P. leS. Milstein . 1981. Management of locally abundant mammals - the South African experience. Pages 21-55 in P. A. Jewell and S. Holt, eds. Problems in the management of locally abundant wild mammals. Academic Press, New York.

Harwood, J. 1981. Managing gray seal populations for optimum stability. Pages 159-172 in C. W. Fowler and T . D. Smith, eds. Dynamics of large mammal populations. John Wiley and Sons, New York.

Hollander, M. and D. A. Wolfe. 1973. Nonparametric statistical methods. John Wiley and Sons, New York.

I.U.C.N. 1981. I.U.C.N . / W.W.F. position statement on vicuna . I . U.C . N. Bulletin 12:12-13 .

I.U.C.N. 1982. Directory of Neotropical protected areas. Tycooly International Publishing, Ltd., Dublin.

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32pp.

Joubbert, E. 1983. Harvesting game at night in South West Africa with reference to the methodology, economics, and bio-statistics. Paper presented at the Symposium on Game Harvest Management, October 3-6, 1983. Caesar Kleberg Wildlife Research Institute, Texas A&I University, Kingsville, Texas.

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Koford, C. B. 1960. The ecology and management of the vicuna in the puna zone of Peru. Pages 342-353 in Proceedings of the 8th technical meeting, July 15-24 , 1960. I.U.C.N., Warsaw, Poland.

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Larson, J. S. and R. D. Taber. 1980. Criteria of sex and age. Pages 143-202 in S. D. Schernnitz, ed. Wildlife management techniques manual . 4th ed. The Wildlife Society, Washington, D. C. 686 pp.

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Myers, N. 1983. A wealth of wild species. Westv iew Press, Boulder, Colorado. 274 pp.

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Ortega, I. M. 1985. Social organization and ecology of a migratory guanaco population in southern Patagonia. M.S. Thesis. Iowa State University, Ames. 59 pp.

Pielou, E. C. 1969. An introduction to mathematical ecology. John Wiley and Sons, New York. 385 pp.

Pisano, E. 1974. Estudio ecologico de la region continental sur del area andino-patagonica, II. Contribuci6n a la fitogeograf{a de la zona del Parque Nacional "Torres del Paine." Anales Instituto de la Patagonia, Punta Arenas, Chile. 5:59-104.

Raedeke, K. J. 1979. Population dynamics and socioecology of the guanaco (Lama guanicoe) of Magallanes, Chile. Ph.D . Dissertation. University of Washington, Seattle. 404 pp.

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Rudman, C. E. 1983. Game harvest management as applied to a game ranching program. Paper presented to the Symposium on Game Harvest Management, October 3-6, 1983.

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Caesar Kleberg Wildlife Research Institute, Texas A&I University, Kingsville, Texas.

Seber, G. A. F. 1973. The estimation of animal abundance. Griffin, London. 506 pp.

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matrix

of the 12th Blackwell

Verscheure, H. E. 1979. Estudio preliminar de utilizaci6n del guanaco de Magallanes (Lama guanicoe Muller) como recurso natural renovable. Thesis. University of Chile, Santiago. 144 pp.

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60

ACKNOWLEDGEMENTS

I am grateful to Isaac (Morty) Ortega and Paul Wilson,

my predecessors on the Torres del Paine Guanaco Project, for

the provision of preliminary data and their logistic

groundwork which made my time in Chile more productive. In

the park, Gladys Garay, Oscar Guineo, Rene Sifuentes, the

Soto and Santana families, Daniel Pedreros (who drowned at

Salto Grande, February 1983) and many other CONAF personnel

provided warm southern hospitality. Gladys and Oscar also

helped on censuses and in collecting valuable data on marked

males. Jovito Gonzalez provided historical data on the park

and its guanacos. In Puerto Natales, Sergio Gallardo and

Berardo Gunkel of CONAF, Ultima Esperanza provided essential

logistic support. The Antonio (Dago) Nunez and Jose Tomas

Aguila families and the Carabinero basketball team provided

refuge and R&R from the rigors of wilderness living. In

Punta Arenas, Mauricio Rosenfeld and Claudio Cunazza of

CONAF, Magallanes and Mateo Martinie and Claudio Venegas of

the Instituto de la Patagonia provided administrative

support. Many other Chileans brightened my visit to their

beautiful country with unmatched hospitality. In the field,

my friends and co-workers Tom and Kathy Jurgensen, Scott

Watson, and Betsy Martin and the volunteers from the Boy

Scouts of Puerto Natales, the 1982-1983 Patagonia Earthwatch

Expedition, and the 1983-1984 Iowa State University

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61

Patagonia Guanaco Expedition were of great help in many

ways. My graduate committee members, Dr. William R . Clark

and Dr. David Glenn-Lewin were helpful in planning this

research and in reviewing this manuscript. Finally, I am

most grateful to Dr. William L. Franklin for this great

opportunity and for his guidance through the last 4 years .

This study was supported by funds from the National

Science Foundation Latin American Cooperative Science

Program (Award Number INT8105084), a Fulbright Grant for

International Educational Exchange, Earthwatch, and the Iowa

State University Patagonia Research Expedition 1983.