COMPARISON OF LENGTH-FREQUENCY ANALYSES FOR ESTIMATION OF GROWTH PARAMETERS FOR A POPULATION OF GREEN TURTLES

Similar documents
Somatic growth function for immature loggerhead sea turtles, Caretta caretta, in southeastern U.S. waters

Somatic growth model of juvenile loggerhead sea turtles Caretta caretta: duration of pelagic stage

RWO 166. Final Report to. Florida Cooperative Fish and Wildlife Research Unit University of Florida Research Work Order 166.

Notes on Juvenile Hawksbill and Green Thrtles in American Samoa!

Gulf and Caribbean Research

ABSTRACT. Ashmore Reef

Who Really Owns the Beach? The Competition Between Sea Turtles and the Coast Renee C. Cohen

Final Report for Research Work Order 167 entitled:

GROWTH CURVE FOR CAPTIVE-REARED GREEN SEA TURTLES, CHELONIA MYDAS. (Accepted ) ABSTRAt:T

THE SPATIAL DYNAMICS OF SEA TURTLES WITHIN FORAGING GROUNDS ON ELEUTHERA, THE BAHAMAS

University of Canberra. This thesis is available in print format from the University of Canberra Library.

Bycatch records of sea turtles obtained through Japanese Observer Program in the IOTC Convention Area

Estimation of age at maturation and growth of Atlantic green turtles (Chelonia mydas) using skeletochronology

Title Temperature among Juvenile Green Se.

REPORT / DATA SET. National Report to WATS II for the Cayman Islands Joe Parsons 12 October 1987 WATS2 069

CHARACTERISTIC COMPARISON. Green Turtle - Chelonia mydas

BBRG-5. SCTB15 Working Paper. Jeffrey J. Polovina 1, Evan Howell 2, Denise M. Parker 2, and George H. Balazs 2

Dredging Impacts on Sea Turtles in the Southeastern USA Background Southeastern USA Sea Turtles Endangered Species Act Effects of Dredging on Sea Turt

The Seal and the Turtle

Response to SERO sea turtle density analysis from 2007 aerial surveys of the eastern Gulf of Mexico: June 9, 2009

APPLICATION OF BODY CONDITION INDICES FOR LEOPARD TORTOISES (GEOCHELONE PARDALIS)

Growth analysis of juvenile green sea turtles (Chelonia mydas) by gender.

TERRAPINS AND CRAB TRAPS

LENGTH WEIGHT RELATIONSHIPS

Dive-depth distribution of. coriacea), loggerhead (Carretta carretta), olive ridley (Lepidochelys olivacea), and

Habitat effect on hawksbill turtle growth rates on feeding grounds at Mona and Monito Islands, Puerto Rico

Final Report. Nesting green turtles of Torres Strait. Mark Hamann, Justin Smith, Shane Preston and Mariana Fuentes

2017 Great Bay Terrapin Project Report - Permit # SC

MARINE TURTLE GENETIC STOCKS OF THE INDO-PACIFIC: IDENTIFYING BOUNDARIES AND KNOWLEDGE GAPS NANCY N. FITZSIMMONS & COLIN J. LIMPUS

Jesse Senko, 2,8,9 Melania C. López-Castro, 3,4,8 Volker Koch, 5 and Wallace J. Nichols 6,7

SPATIAL AND THERMAL ECOLOGY OF DIAMONDBACK TERRAPINS (MALACLEMYS TERRAPIN) IN A SOUTH CAROLINA SALT MARSH

Green Turtle (Chelonia mydas) nesting behaviour in Kigamboni District, United Republic of Tanzania.

Diane C. Tulipani, Ph.D. CBNERRS Discovery Lab July 15, 2014 TURTLES

A Survey of Aquatic Turtles at Kickapoo State Park and Middle Fork State Fish and Wildlife Area (MFSFWA)

REPORT Annual variation in nesting numbers of marine turtles: the effect of sea surface temperature on re-migration intervals

Available from Deakin Research Online:

Sea Turtle, Terrapin or Tortoise?

Dr Kathy Slater, Operation Wallacea

INDIVIDUAL IDENTIFICATION OF GREEN TURTLE (CHELONIA MYDAS) HATCHLINGS

Marine Turtle Surveys on Diego Garcia. Prepared by Ms. Vanessa Pepi NAVFAC Pacific. March 2005

Sea Turtles and Longline Fisheries: Impacts and Mitigation Experiments

American Samoa Sea Turtles

Fibropapilloma in Hawaiian Green Sea Turtles: The Path to Extinction

Tagging Study on Green Turtle (Chel Thameehla Island, Myanmar. Proceedings of the 5th Internationa. SEASTAR2000 workshop) (2010): 15-19

Age structured models

Field report to Belize Marine Program, Wildlife Conservation Society

You may use the information and images contained in this document for non-commercial, personal, or educational purposes only, provided that you (1)

GNARALOO TURTLE CONSERVATION PROGRAM 2011/12 GNARALOO CAPE FARQUHAR ROOKERY REPORT ON FINAL RECONNAISSANCE SURVEY (21 23 FEBRUARY 2012)

Conservation Sea Turtles

B E L I Z E Country Report. WIDECAST AGM FEB 2, 2013 Linda Searle ><> Country Coordinator

Legal Supplement Part B Vol. 53, No th March, NOTICE THE ENVIRONMENTALLY SENSITIVE SPECIES (GREEN TURTLE) NOTICE, 2014

What I learned from Limpus, Carter. Quantifying a Nesting Season. and Hamann (2001) and. Sussing out. Identifying

OKUYAMA, JUNICHI; SHIMIZU, TOMOHITO OSAMU; YOSEDA, KENZO; ARAI, NOBUAKI. Proceedings of the 2nd Internationa. SEASTAR2000 Workshop) (2005): 63-68

1995 Activities Summary

click for previous page SEA TURTLES

Update on Federal Shrimp Fishery Management in the Southeast

Additional copies may be obtained from the following address:

EFFECTIVENESS OF RELOCATION TRAWLING DURING HOPPER DREDGING FOR REDUCING INCIDENTAL TAKE OF SEA TURTLES

Sea Turtle Conservation in Seychelles

2. LITERATURE REVIEW

SEDAR31-DW30: Shrimp Fishery Bycatch Estimates for Gulf of Mexico Red Snapper, Brian Linton SEDAR-PW6-RD17. 1 May 2014

BRITISH INDIAN OCEAN TERRITORY (BIOT) BIOT NESTING BEACH INFORMATION. BIOT MPA designated in April Approx. 545,000 km 2

Convention on the Conservation of Migratory Species of Wild Animals

Northeast Gulf Science

Sea Turtles in the Middle East and South Asia Region

Aquarium Department Celebrate, Connect, Care

Marine Turtle Nesting Populations: Avoid Island Flatback Turtles, breeding season

SHORT NOTE THE INCIDENTAL CAPTURE OF FIVE SPECIES OF SEA TURTLES BY COASTAL SETNET FISHERIES IN THE EASTERN WATERS OF TAIWAN

Serial No. N5461 NAFO SCR Doc. 07/75 NAFO/ICES WGPAND MEETING OCTOBER/NOVEMBER 2007

Marine Turtle Nesting Populations: Peak Island Flatback Turtles, breeding season

GNARALOO TURTLE CONSERVATION PROGRAM 2011/12 GNARALOO CAPE FARQUHAR ROOKERY REPORT ON SECOND RECONNAISSANCE SURVEY (21 23 JANUARY 2012)

EVALUATING THE REPRODUCTIVE ECOLOGY OF THE DIAMONDBACK TERRAPIN IN ALABAMA SALTMARSHES: IMPLICATONS FOR THE RECOVERY OF A DEPLETED SPECIES

A STAGE-BASED POPULATION MODEL FOR LOGGERHEAD SEA TURTLES AND IMPLICATIONS FOR CONSERVATION1

Rookery on the east coast of Penins. Author(s) ABDULLAH, SYED; ISMAIL, MAZLAN. Proceedings of the International Sy

ESTIMATING NEST SUCCESS: WHEN MAYFIELD WINS DOUGLAS H. JOHNSON AND TERRY L. SHAFFER

Summary. Introduction

Beach Crawl Width as a Predictive Indicator of Carapace Length in Loggerhead Sea Turtles (Caretta caretta).

Population viability of the Gulf of Mexico sturgeon in the Suwannee River, Florida

PARTIAL REPORT. Juvenile hybrid turtles along the Brazilian coast RIO GRANDE FEDERAL UNIVERSITY

YOKOTA, KOSUKE; MINAMI, HIROSHI; NO TAKAHIRO. Proceedings of the 3rd Internationa. SEASTAR2000 workshop) (2006):

Shrimp Trawl Bycatch Reduction. Dan Foster NOAA Fisheries Service Harvesting Systems and Engineering Division

Progress at a Turtle s Pace: the Lake Jackson Ecopassage Project. Matthew J. Aresco, Ph.D. Lake Jackson Ecopassage Alliance

Mobulid rays in the eastern Pacific

Annual Pink Shrimp Review

Aspects in the Biology of Sea Turtles

A brief report on the 2016/17 monitoring of marine turtles on the São Sebastião peninsula, Mozambique

HAWKSBILL SEA TURTLE POPULATION MONITORING

Southern Shrimp Alliance, Inc P.O. Box 1577 Tarpon Springs, FL Ph Fx

LUCERO, MATIAS J.; PARCASIO, SATURN GENCIANEO, MARIO; LUCERO, RUTH S.; Proceedings of the 6th Internationa. SEASTAR2000 workshop) (2011): 35-38

Steller Sea Lions at Cattle Point. Sarah Catherine Milligan. Pelagic Ecosystem Function Research Apprenticeship Fall 2014

Herpetologists' League

SEA TURTLE MOVEMENT AND HABITAT USE IN THE NORTHERN GULF OF MEXICO

Predicting the Impact of Turtle Excluder Devices on Loggerhead Sea Turtle Populations

Legal Supplement Part B Vol. 53, No th March, NOTICE THE ENVIRONMENTALLY SENSITIVE SPECIES (OLIVE RIDLEY TURTLE) NOTICE, 2014

Proceedings of the International Sy. SEASTAR2000 Workshop) (2004):

Turks and Caicos Islands Turtle Project (TCITP)

RE: Extended comment period for North West Atlantic Swordfish Longline fishery reassessment

MERCURY IN NEW JERSEY S DIAMONDBACK TERRAPINS (Malaclemys terrapin) Natalie Sherwood, Meiyin Wu, Peddrick Weis

Introduction. A western pond turtle at Lake Lagunitas (C. Samuelson)

Review of FAD impacts on sea turtles

Transcription:

Herpetologica, 51(2), 1995, 160-167? 1995 by The Herpetologists' League, Inc. COMPARISON OF LENGTH-FREQUENCY ANALYSES FOR ESTIMATION OF GROWTH PARAMETERS FOR A POPULATION OF GREEN TURTLES KAREN A. BJORNDAL' AND ALAN B. BOLTEN2 'Center for Sea Turtle Research and Department of Zoology, University of Florida, Gainesville, FL 32611, USA 2Center for Sea Turtle Research and Department of Wildlife and Range Sciences, University of Florida, Gainesville, FL 32611, USA ABSTRACT: We compared the ability of four length-frequency analysis programs to generate accurate von Bertalanffy growth parameters for a population of green turtles (Chelonia mydas) of known growth rates. The four programs were ELEFAN I, Shepherd's length composition analysis (SLCA), projection matrix method, and MULTIFAN. ELEFAN failed to identify a set of parameters that qualified as a best fit. The parameter estimates generated by SLCA successfully described six of the 10 length distributions from the population of green turtles. The parameter estimates produced by the projection matrix method failed to describe adequately any of the 10 length distributions. MULTIFAN generated a set of growth parameter estimates that successfully described all of the 10 length distributions. Although MULTIFAN had the best performance, it requires substantially more initial information and estimates than do the other programs. The best approach-particularly with a poorly studied population-may be to conduct initial analyses with SLCA, followed by analyses with MULTIFAN. Length-frequency analysis is a useful method for the study of growth in populations of immature sea turtles. Further study is required to determine whether these methods are appropriate for populations of sea turtles that include mature individuals. Key words: Chelonia mydas; Demography; Growth; Length-frequency analysis; Sea turtles INDIVIDUAL growth rate in a population is a critical demographic parameter for understanding the life history of a species and for developing management plans for wild populations. Although growth studies based on mark and recapture of individual animals yield direct measures of growth rates, there are disadvantages to this approach. Mark and recapture studies can be very long term, labor-intensive efforts that require considerable investments of time and funds. The animal may be affected by the mark or tag, so that the measured growth rate is biased. Some species, or some life stages of certain species, are not good subjects for mark and recapture studies because appropriate marking technology is not available or because the probability of recapture of a marked individual is very low. Bias in measurements taken by different observers may introduce an important source of variation. Sea turtles have a number of characteristics that make them relatively poor candidates for mark and recapture growth studies. Sea turtles are slow growing, so 160 mark and recapture studies are of necessity long term. The probability of recapture of marked individuals is low in many populations because of the characteristics of the life stage (e.g., post-hatchlings in a pelagic habitat), high natural mortality in young life stages, and high human-induced mortality in juvenile and adult life stages. Growth models based on mark and recapture studies have been generated for several populations of a few species of sea turtles (e.g., Balazs, 1982; Bjorndal and Bolten, 1988; Boulon and Frazer, 1990; Frazer and Ehrhart, 1985; Limpus, 1992). However, to generate the regional management plans required to ensure the survival of these species, estimates of growth rates are needed for more species of sea turtles and for more populations within each species. Length-frequency analysis, in which estimates of von Bertalanffy growth parameters are generated from length distributions of sample populations, have been applied to populations of commercially important species of fish and invertebrates

June 1995] HERPETOLOGICA 161 for many years (Hilborn and Walters, 1992). Length-frequency analysis may be a useful approach to the study of growth in other species. In a recent study (Bjorndal et al., 1995), the growth model generated by the length-frequency analysis program MULTIFAN was compared with the growth model from a mark and recapture study of a population of green turtles (Chelonia mydas) in the southern Bahamas. MULTIFAN successfully estimated von Bertalanffy growth parameters for this population. In the present study, three other lengthfrequency analysis programs-elefan, Shepherd's length composition analysis (SLCA), and projection matrix-are compared with MULTIFAN and the mark and recapture study for the same population of green turtles. All of these length-f requency analysis programs solve for the set of von Bertalanffy growth parameters that yields the best description of the length distributions. However, because the four length-frequency programs employ different analytical approaches, the ability of each program to generate accurate growth models will vary for species with different life history strategies. ELEFAN I (Electronic LEngth Frequency ANalysis) first restructures the length distributions by assigning positive values to length classes containing many animals and small or negative values to length classes with few animals (Pauly, 1987). Goodness of fit scores are then calculated by summing the values of the length classes through which each growth curve passes. An accurate growth curve will pass through length classes (or modes) with large numbers of animals and thus will accumulate a high goodness of fit score. The growth curve with the highest score is considered to be the best estimate. As in ELEFAN, SLCA is based on the goodness of fit of the location of modes expected from a von Bertalanffy growth curve to the observed modes in the length distribution. However, length distributions are not restructured as in ELEFAN, and the goodness of fit criterion in SLCA is similar to that used in time series analysis (complex demodulation) (Shepherd, 1987a). The projection matrix method was first developed as a method for forecasting short term catch-rates based on a combination of a time series of length compositions and estimates of growth parameters (Shepherd, 1987b). Rosenberg et al. (1986) adapted the method for estimating growth parameters. In this method, proportions in length classes are projected through time as predicted by a set of growth parameters. Expected length frequencies are generated and compared with a series of observed length frequencies, and an unweighted least squares objective function is used to determine the set of growth parameters that yield the best goodness of fit. The MULTIFAN method integrates a nonlinear parameter estimation technique and maximum likelihood method to estimate the number of significant age classes in the sample population and the parameters of the von Bertalanffy growth model (Fournier et al., 1990, 1991). We undertook the present study to determine which length-frequency analysis programs successfully estimate growth parameters for a green turtle population. Identification of appropriate length-f requency analyses would provide a valuable tool in the study of sea turtle demography. METHODS From 1983 through 1992, immature green turtles were captured over their foraging pastures on the north coast of Great Inagua, Bahamas. Each sampling period was approximately 2 wk, and the month of sampling varied among years. Turtles were measured, marked in the trailing edge of their flippers with identification tags, and released at site of capture. The measurement used in this study is standard straight-line carapace length (SCL) measured from nuchal notch to posterior tip of posterior marginal with anthropometer calipers (GPM model 101) to the nearest 0.1 cm. The study area and methods of capture have been described in previous papers (Bjorndal, 1980; Bjorndal and Bolten, 1988).

162 HERPETOLOGICA [Vol. 51, No. 2 The length-frequency programs in this study generated estimates of the parameters of the von Bertalanffy equation, which may be expressed: Lt= Loo(1 - e-k(t-to)) where Lt is length at age t, Lo, is asymptotic length, e is the base of the natural logarithms, K is an intrinsic growth rate variable, and to is the nominal time that length is zero. We calculated mean growth rates for each 5-cm carapace length size class from the mark and recapture data. We calculated the mean time that a green turtle takes to grow through each 5-cm interval and estimated the von Bertalanffy growth parameters using nonlinear regression (SAS PROC NLIN: SAS Institute, 1982). All of the length-frequency programs have the assumptions that growth is described by a von Bertalanffy growth curve, that samples represent the structure of the population, and that recruitment occurs in seasonal pulses. In addition, the projection matrix method has the assumption that mortality is constant over time and equal for all age classes. The MULTIFAN method has the assumptions that the lengths of animals in each age class are normally distributed around their mean length and that the standard deviations of the actual lengths about the mean length-at-age are a simple function of the mean length-at-age. MULTIFAN requires that the following parameters be specified: expected number of age classes, expected initial K values, mean length of the mode representing the youngest age class, and standard deviation of a distinct mode. We set initial values for age classes to 6, 7, 8, 9, 10, 11, 12, 13, 14, and 15 yr, and for K to 0.01, 0.05, 0.1, and 0.5. The mean length of youngest age class was set to 27.5 cm (in 1988 sample) and standard deviation of mode width to 1.5 for all initial values of age classes and K. There was a significant trend in standard deviation of length-at-age with increasing length, so this parameter was included in the MULTIFAN model. ELEFAN, SLCA, and the projection matrix method only require that a range of expected initial K values and a range of expected initial L,,<, values be specified. For these three programs, initial range of K values was 0.01-0.15, and initial range of L<:o values was 50-200. Ranges were narrowed in successive analyses depending on the results of the previous analysis. The relative accuracy of the growth models generated by each of the lengthfrequency programs was assessed as in Terceiro et al. (1992) by comparing the age distributions resulting from the growth parameters generated by each length-frequency program with those from the mark and recapture data using Kolmogorov- Smirnov cumulative distribution tests (Sokal and Rohlf, 1981). Alpha was 0.05. We used an age slice program that employs the von Bertalanffy parameters L<,; K, and to to assign length classes to age classes, to transform the length distributions to age distributions. The length-frequency analysis programs were obtained from two sources. ELEFAN I, Shepherd's length composition analysis (SLCA), the projection matrix method, and the age slice method were from the Length Frequency Distribution Analysis Package (LFDA version 3.10) produced by Marine Resources Assessment Group Limited with support from the British Overseas Development Administration (Holden and Bravington, 1992). MULTI- FAN (version 32 (f)) is produced by Otter Research Ltd., Nanaimo, B.C., Canada (Otter Research Ltd., 1992). RESULTS From 1983 through 1992, 964 green turtles were captured. Annual samples varied from 45-152 green turtles. The length distributions of all samples are shown in Fig. 1. Despite repeated attempts with different ranges of parameters K and LO, the ELEFAN method failed to identify a best fit. Even when the ranges were narrowed to 0.02 for K and to 15 for L., multiple maxima were found. The parameter estimates for these multiple maxima varied with each run, and the score function values for the multiple maxima were similar. Repeated analyses with SLCA also yielded multiple maxima, but each run

June 1995] HERPETOLOGICA 163 15 15 12 -Nov 1983 12 Apr1988 9 n =71 n =120 n~~~~~~~~~~~ E 6 6-15- 15-12 - Jun 1984 n =140 12 - Dec 1989 n = 81.0 ^ E6 E 6-6~~~~~~~~~ 06 I- 15-15- 12 - Jun 1985 12 - Jun 1990 E6 n =152 n =67 E6-61- 123-3e 961 - Ag19 15-15- 12 - Sept1986 12- Aug1991 9 n = 146 ~~~~~n = 45 a) 9- n=62 9_ n=80 0 0 15 15 E 6-6 12 -Oct 1987 12 Sep 1992 L.9 n=62 n =80 -o~~~~~~~~~~ E6 6- -i l u00m, r nilillnn m FMllr-mf o- rof In 30 40 50 60 7 0 40 50 60 70 Straight Carapace Length (cm) FIG. 1.-Frequency distributions of straight carapace lengths for 10 annual samples from a population of green turtles in the southern Bahamas.

164 HERPETOLOGICA [Vol. 51, No. 2 TABLE 1. -Von Bertalanffy growth parameter estimates generated by three length-frequency analysis programs for a population of green turtles in the southern Bahamas. ELEFAN failed to generate a set of parameters. K Lo to SLCA 0.100 122.79-0.247 Projection matrix 0.032 82.51-0.239 MULTIFAN 0.072 99.70-0.558 consistently identified one maximum that always had a substantially higher score function value than the other maxima that were identified. This set of parameter estimates was used as the best fit generated by SLCA (Table 1). Successive runs of the projection matrix method led to a range of K from 0.02-0.05 and a range of Loo from 80-100. Analysis of these ranges of parameter estimates identified a set of parameters as the best fit (Table 1). The set of parameters generated by MULTIFAN as the best fit is shown in Table 1. MULTIFAN also identified 12 significant age classes in the population. The parameter estimates identified as the best fit by SLCA, the projection matrix method, and MULTIFAN were used in the age slice function of the LFDA package to convert the length distributions to age distributions. Results of the comparisons of these age distributions to those generated from the mark and recapture data (Kolmogorov-Smirnov cumulative distribution test) are shown in Table 2. Six of the 10 age distributions generated from SLCA growth parameter estimates were not significantly different from the age distributions generated from the mark and recapture data. That is, the growth parameter estimates from SLCA successfully described six of the 10 length distributions. All of the age distributions generated from growth parameters estimated by the projection matrix method differed significantly from those of the mark and recapture study. The projection matrix method failed to describe any of the length distributions. All of the age distributions generated TABLE 2.-Comparison of age-frequency distributions generated by each of three length-frequency analysis programs with the age-frequency distributions based on mark and recapture data. Results are not presented for ELEFAN because ELEFAN failed to generate a set of parameters. Values presented are D values from Kolmogorov-Smirnov cumulative distribution tests. Distribution SLCA Projection matrix MULTIFAN 1983 0.1885 0.8952** 0.1286 1984 0.1837* 0.7556** 0.0709 1985 0.2217** 0.6370** 0.0481 1986 0.1575 0.8190** 0.0548 1987 0.1741 0.8879** 0.1119 1988 0.1273 0.8783** 0.0815 1989 0.1948 0.9131** 0.0610 1990 0.2537* 0.8867** 0.0597 1991 0.2737 0.9487** 0.0445 1992 0.2555* 0.9062** 0.0869 Fp < 0.05. P < 0.01. from the MULTIFAN growth parameter estimates were not significantly different from those from the mark and recapture data. MULTIFAN successfully described all of the 10 length distributions. DISCUSSION The use of von Bertalanffy growth models in all of the length frequency programs in this study is appropriate for sea turtle populations. In several studies of growth rates of sea turtles, the von Bertalanffy model has been shown to have a better fit than other growth equations (e.g., logistic, Gompertz) to data from populations of wild, immature sea turtles (Bjorndal and Bolten, 1988; Frazer and Ehrhart, 1985; Frazer and Ladner, 1986). The length frequency analysis programs that were compared in this study varied greatly in their ability to describe accurately growth in the Inagua population of green turtles. ELEFAN could not identify a best fit. Although SLCA also failed to generate a single set of parameters as a best fit, it consistently identified one set of parameters with a substantially higher function score than the other possible fits. This set of von Bertalanffy growth parameters successfully described six of the 10 length distributions. The projection matrix method identified a set of growth parameters, but these parameters yielded age dis-

June 1995] HERPETOLOGICA 165 tributions that differed significantly from those based on the mark and recapture data for all 10 length frequencies. The MULTIFAN method had the best performance. MULTIFAN generated a single set of parameter estimates as a best fit, and these parameter estimates successfully described the 10 length frequencies. Isaac (1990) compared ELEFAN and SLCA with Monte-Carlo simulations of fish populations with different biological characteristics. She found that length distributions of species with slow growth rates were more difficult to analyze because of the multiple maxima of score functions for both ELEFAN and SLCA. However, SLCA performed better than ELEFAN for slow growing, long lived fish, a result that would be expected from the results reported here for the slow growing, long lived green turtle. Terceiro et al. (1992) reviewed earlier studies on fish and invertebrate species in which ELEFAN and SLCA were compared, and they concluded that SLCA generally performs better than ELEFAN. They went on to compare SLCA and MULTIFAN with simulated length-frequency distributions for fish populations with three, seven and 13 age classes and found that MULTIFAN performed better than SLCA. In a comparison of SLCA and the projection matrix method, Basson et al. (1988) concluded that the projection matrix method was more robust to variation in length-at-age, and thus the requirement for clearly separated cohorts was less for the projection matrix method than for SLCA. However, because the projection matrix method relies on shifts of the length frequencies along the length axis from sample to sample, this method does not perform well with populations with low K values, and thus small shifts between samples. The poor performance of the projection matrix method with the Inagua population of green turtles probably resulted from the slow growth rates (low K) in that population. Although MULTIFAN had the best performance of the four length-frequency programs, MULTIFAN also requires much more initial input. MULTIFAN requires the user to provide the expected number of age classes, expected initial K values, mean length of the mode representing the youngest age class, and the standard deviation of a distinct mode. The other programs only require initial ranges of estimates for K and L*,, although SLCA and ELEFAN are most effective when a narrow range of L0,, can be set a priori (Basson et al., 1988; Terceiro et al., 1992). Another difference between MULTI- FAN and the other programs is the time required for analyses. MULTIFAN analyses required several hours whereas analyses with the other programs were completed in a few minutes. A useful approach to initial length-frequency analysis of sea turtle populationsand populations of other species-may be to use SLCA followed by MULTIFAN. Initial exploration with SLCA can be accomplished rapidly. Results obtained from SLCA may then be used as initial estimates in MULTIFAN if the user has no other source of estimates. If SLCA and MUL- TIFAN generate similar estimates, the user can be more confident of the results. Just as sea turtles have characteristics that ill-fit them for mark and recapture studies, populations of sea turtles also have characteristics that can make the use of length-frequency analysis problematic. Any factor that acts to obscure modal structure makes length-frequency analysis more difficult. Such factors include long spawning season, variation in individual growth rates that result in variation in length-at-age, cessation or near cessation of growth in old age classes, and high rates of exploitation. If older age classes cannot be distinguished, K will be overestimated and the number of age classes will be underestimated (Terceiro et al., 1992). Also, populations with very high exploitation may have reduced modal structure at the largest sizes, which will result in overestimates of K and underestimates of number of age classes (Terceiro et al., 1992). The success of length-frequency analysis of the Inagua population of green turtles may be due to the lack of large subadult and adult turtles in this population.

166 HERPETOLOGICA [Vol. 51, No. 2 Because growth in length is more rapid in smaller size classes (Bjorndal and Bolten, 1988), the modal structure of the length distributions of the Inagua population is more clear than it would be if the population included adult green turtles. Caution must be exercised in the application of length-frequency analysis to sea turtle populations. Erroneous results can be generated, as was the case with the projection matrix method in this study. Also, populations that include large individuals and/or that suffer high exploitation by humans-either intentional or incidental may lack sufficiently clear modal structure to allow successful length-frequency analysis. Length-frequency analysis may yield reliable results only for populations of immature sea turtles. Acknowledgments. -This study was funded by the National Marine Fisheries Service (NMFS) and by the U.S. Fish and Wildlife Service (USFWS). The long term research at Great Inagua that was the basis for this study has been supported by the Caribbean Conservation Corporation, NMFS, and the Bahamas National Trust (BNT). We thank W. Witzell and G. Sakagawa (NMFS) and R. Byles and J. Woody (USFWS) for their support of this study. We are grateful to our colleagues at the Department of Oceanography and Fisheries, University of the Azores, Horta, for bringing the LFDA package to our attention. The long term work at Great Inagua would not have been possible without the years of dedicated effort by BNT wardens J. Nixon, H. Nixon, and S. Nixon. We thank Morton Bahamas Limited and the U.S. Coast Guard for logistic support. LITERATURE CITED BALAZS, G. H. 1982. Growth rates of immature green turtles in the Hawaiian Archipelago. Pp. 117-125. In K. A. Bjorndal (Ed.), Biology and Conservation of Sea Turtles. Smithsonian Institution Press, Washington, D.C. BASSON, M., A. A. ROSENBERG, AND J. R. BED- DINGTON. 1988. The accuracy and reliability of two new methods for estimating growth parameters from length-frequency data. J. Cons. Int. Explor. Mer 44:277-285. BJORNDAL, K. A. 1980. Nutrition and grazing behavior of the green turtle, Chelonia mydas. Mar. Biol. 56:147-154. BJORNDAL, K. A., AND A. B. BOLTEN. 1988. Growth rates of immature green turtles, Chelonia mydas, on feeding grounds in the southern Bahamas. Copeia 1988:555-564. BjORNDAL, K. A., A. B. BOLTEN, A. L. COAN, JR., AND P. KLEIBER. 1995. Estimation of green turtle (Chelonia mydas) growth rates from length-frequency analysis. Copeia 1995:71-77. BOULON, R. H., JR., AND N. B. FRAZER. 1990. Growth of wild juvenile Caribbean green turtles, Chelonia mydas. J. Herpetol. 24:441-445. FOURNIER, D. A., J. R. SIBERT, J. MAJKOWSKI, AND J. HAMPTON. 1990. MULTIFAN, a likelihoodbased method for estimating growth parameters and age composition from multiple length frequency data sets illustrated using data for southern bluefin tuna (Thunnus maccoyii). Can. J. Fish. Aquat. Sci. 47:301-317. FOURNIER, D. A., J. R. SIBERT, AND M. TERCEIRO. 1991. Analysis of length frequency samples with relative abundance data for the Gulf of Maine northern shrimp (Pandalus borealis) by the MUL- TIFAN method. Can. J. Fish. Aquat. Sci. 48:591-598. FRAZER, N. B., AND L. M. EHRHART. 1985. Preliminary growth models for green, Chelonia mydas, and loggerhead, Caretta caretta, turtles in the wild. Copeia 1985:73-79. FRAZER, N. B., AND R. C. LADNER. 1986. A growth curve for green sea turtles, Chelonia mydas, in the U.S. Virgin Islands, 1913-14. Copeia 1986:798-802. HILBORN, R., AND C. J. WALTERS. 1992. Quantitative Fisheries Stock Assessment: Choice, Dynamics and Uncertainty. Chapman and Hall, New York. HOLDEN, S., AND M. BRAVINGTON. 1992. Length Frequency Distribution Analysis, the LFDA Package User Manual Version 3.10. Marine Resources Assessment Group Limited, London. ISAAC, V. J. 1990. The Accuracy of Some Lengthbased Methods for Fish Population Studies. International Center for Living Aquatic Resources Management, Manila, Philippines. LIMPUS, C. J. 1992. The hawksbill turtle, Eretmochelys imbricata, in Queensland: Population structure within a southern Great Barrier Reef feeding ground. Wildl. Res. 19:489-506. OTTER RESEARCH LTD. 1992. MIJLTIFAN 3 User's Guide and Reference Manual. Otter Research Ltd., Nanaimo, B.C., Canada. PAULY, D. 1987. A review of the ELEFAN system for analysis of length-frequency data in fish and aquatic invertebrates. Pp. 7-34. In D. Pauly and G. R. Morgan (Eds.), Length-based Methods in Fisheries Research. International Center for Living Aquatic Resources Management, Manila, Philippines. ROSENBERG, A. A., J. R. BEDDINGTON, AND M. BASSON. 1986. The growth and longevity of krill during the first decade of pelagic whaling. Nature 324: 152-154. SAS INSTITUTE, INC. 1982. SAS User's Guide: Statistics. SAS Institute, Incorporated, Cary, North Carolina. SHEPHERD, J. G. 1987a. A weakly parametric method for estimating growth parameters from length composition data. Pp. 113-119. In D. Pauly and G. R. Morgan (Eds.), Length-based Methods in Fisheries Research. International Center for Living Aquatic Resources Management, Manila, Philippines. 1987b. Towards a method for short-term forecasting of catch rates based on length compositions. Pp. 167-176. In D. Pauly and G. R. Morgan

June 1995] HERPETOLOGICA 167 (Eds.), Length-based Methods in Fisheries Research. International Center for Living Aquatic Resources Management, Manila, Philippines. SOKAL, R. R., AND F. J. ROHLF. 1981. Biometry, 2nd ed. W. H. Freeman and Company, San Francisco. TERCEIRO, M., D. A. FOURNIER, AND J. R. SIBERT. 1992. Comparative performance of MULTIFAN and Shepherd's length composition analysis (SRLCA) on simulated length-frequency distributions. Trans. Am. Fish. Soc. 121:667-677. Accepted: 2 June 1994 Associate Editor: Daniel Formanowicz, Jr. Herpetologica, 51(2), 1995, 167-181 C 1995 by The Herpetologists' League, Inc. RESOURCE PARTITIONING BY THE ESTUARINE TURTLE MALACLEMYS TERRAPIN: TROPHIC, SPATIAL, AND TEMPORAL FORAGING CONSTRAINTS ANTON D. TUCKER"2, NANCY N. FITZSIMMONS12, AND J. WHITFIELD GIBBONS' 'Savannah River Ecology Laboratory, Drawer E, Aiken, SC 29802, USA ABSTRACT: We investigated the foraging ecology of the diamondback terrapin (Malaclemys terrapin) in South Carolina by examining fecal samples for evidence of resource partitioning. From 76-79% of the dietary volume was the salt marsh periwinkle (Littorina irrorata); crabs (Uca pugnax, Sesarma reticulatum, and Callinectes sapidus), barnacles (Balanus), and clams (Polynesoda caroliniana) constituted the remainder. Dietary partitioning is related to the ontogenetic niche of terrapins. Sexual dimorphism occurs in terrapins with females having larger heads and bodies than males. Terrapins with large head widths ingest significantly larger periwinkles and a wider diversity of prey than terrapins with small head widths. Dietary overlap between males and females is greatest when females are small and decreases as females develop larger enlarged heads. Sexual dimorphism in terrapin trophic structures appears to be partially driven by ecological divergence through resource partitioning. High tides permit terrapins to forage aquatically in upper reaches of the salt marsh. Prey size and distribution are variable and changing tidal heights affect the spatiotemporal availability of prey to foraging terrapins. Divergent foraging strategies for terrapins of different head widths may result in habitat partitioning. Food accessibility rather than food abundance may be a limiting factor for terrapins in areas of high tidal variability. Terrapins are clearly prominent but unrecognized macroconsumers in salt marsh ecosystems. Key words: Resource partitioning; Turtle; Malaclemys; Dimorphism; Salt marsh; Foraging ecology; Littorina; Trophic structure THE diamondback terrapin (Malaclemys terrapin) is a common reptile in salt marshes of the southeastern United States (Carr, 1952). Despite having a latitudinal distribution that extends from Massachusetts to Texas (Ernst and Barbour, 1989), their functional role as predators in salt marsh ecosystems is poorly known (Adam, 1990; Day et al., 1989; Pomeroy and Wiegert, 1981). In captivity, terrapins readily 2 PRESENT ADDRESS: Department of Zoology, University of Queensland, Brisbane 4072, Australia. consume snails, shellfish, fish, crustaceans, and beef (Allen and Littleford, 1955; Carr, 1952; Coker, 1906, 1920; Davenport et al., 1992; Hildebrand, 1929; Hildebrand and Hatsel, 1926), but dietary studies of wild terrapins are limited to descriptive or anecdotal accounts. Items recorded for the terrapin's diet include snails (Littorina irrorata, Melampus lineatus), small crabs (Gelasimus, Uca), marine annelids (Nereis irratabilis), mussels (Mytilus edulis), clams (Anomalocardia cuneimens), captured or scavenged fish (Menidia menidia), and plant material (Sargassum, unidentified