A robust design mark-resight abundance estimator allowing heterogeneity in resighting probabilities

Journal of Agricultural, Biological, and Environmental Statistics

Volumn 11, Issue 3, 2006, Pages 231-248

  McClintock, Brett T ^a   White, Gary C ^a   Burnham, Kenneth P ^b,c  

^a Veterinary Dentistry and Oral Surgery   (United States)

^b U S GEOLOGICAL SURVEY   (United States)

^c NONE   (United States)

Author keywords

Beta binomial distribution; Detection probability; Individual heterogeneity; Maximum likelihood; Population size estimation; Program NOREMARK; Sighting surveys

Indexed keywords

ABUNDANCE ESTIMATION; HETEROGENEITY; MAXIMUM LIKELIHOOD ANALYSIS; POPULATION ESTIMATION; POPULATION SIZE; PROBABILITY;

URSUS ARCTOS;

EID: 33748655200     PISSN: 10857117     EISSN: None     Source Type: Journal    
DOI: 10.1198/108571106X129171     Document Type: Article

References (40)

1. Agresti, A. (1994), "Simple Capture-Recapture Models Permitting Unequal Catchability and Variable Sampling Effort," Biometrics, 50, 494-500.
2. Arnason, A. N., Schwarz, C. J., and Gerrard, J. M. (1991), "Estimating Closed Population Size and Number of Marked Animals from Sighting Data," Journal of Wildlife Management, 55, 716-730.
3. Bartmann, R. M., White, G. C., Carpenter, L. H., and Garrott, R. A. (1987), "Aerial Mark-Recapture Estimates of Confined Mule Deer in Pinyon-Juniper Woodland," Journal of Wildlife Management, 51, 41-46.
4. Bowden, D. C., and Kufeld, R. C. (1995), "Generalized Mark-Sight Population Size Estimation Applied to Colorado Moose," Journal of Wildlife Management, 59, 840-851.
5. Burnham, K. P. (1972), "Estimation of Population Size in Multiple Capture-Recapture Studies When Capture Probabilities Vary Among Animals," unpublished Ph.D. thesis, Oregon State University, Corvallis, OR.
6. Burnham, K. P., and Anderson, D. R. (2002), Model Selection and Multi-Model Inference: A Practical Information-Theoretic Approach (2nd ed.), New York: Springer-Verlag.
7. Burnham, K. P., and Anderson, D. R. (2004), "Multimodel Inference: Understanding AIC and BIC in Model Selection," Sociological Methods and Research, 33, 261-304.
8. Burnham, K. P., Anderson, D. R., White, G. C., Brownie, C., and Pollock, K. H. (1987), "Design and Analysis Methods for Fish Survival Experiments Based on Release-Recapture," American Fisheries Society Monograph 5.
9. Chao, A., Yip, P. S. F., Lee, S.-M., and Chu, W. (2001), "Population Size Estimation Based on Estimating Functions for Closed Capture-Recapture Models," Journal of Statistical Planning and Inference, 92, 213-232.
10. Cormack, R. M. (1992), "Interval Estimation for Mark-Recapture Studies of Closed Populations," Biometrics, 48, 567-576.
11. Coull, B. A., and Agresti, A. (1999), "The Use of Mixed Logit Models to Reflect Heterogeneity in Capture-Recapture Studies," Biometrics, 55, 294-301.
12. Dorazio, R. M., and Royle, J. A. (2003), "Mixture Models for Estimating the Size of a Closed Population When Capture Rates Vary Among Individuals," Biometrics, 59, 351-364.
13. Dufault, S., and Whitehead, H. (1995), "An Assessment of Changes with Time in the Marking Patterns used for Photoidentification of Individual Sperm Whales, Physeter macrocephalus," Marine Mammal Science, 11, 335-343.
14. Edwards, A. W. F. (1992), Likelihood (exp. ed.), Baltimore: Johns Hopkins University Press.
15. Griffiths, D. A. (1973), "Maximum Likelihood Estimation for the Beta-Binomial Distribution and an Application to the Household Distribution of the Total Number of Cases of a Disease," Biometrics, 29, 637-648.
16. Hein, E. W., and Andelt, W. F. (1995), "Estimating Coyote Density from Mark-Resight Surveys," Journal of Wildlife Management, 59, 164-169.
17. Huggins, R. M. (2002), "A Parametric Empirical Bayes Approach to the Analysis of Capture-Recapture Experiments," Australia and New Zealand Journal of Statistics, 44, 55-62.
18. Huggins, R. M., and Yip, P. (2001), "A Note on Nonparametric Inference for Capture-Recapture Experiments with Heterogeneous Capture Probabilities," Statistica Sinica, 11, 843-853.
19. Kendall, W. L., Nichols, J. D., and Hines, J. E. (1997), "Estimating Temporary Emigration Using Capture-Recapture Data with Pollock's Robust Design," Ecology, 78, 563-578.
20. Kendall, W. L., Pollock, K. H., and Brownie, C. (1995), "A Likelihood-Based Approach to Capture-Recapture Estimation of Demographic Parameters Under the Robust Design," Biometrics, 51, 293-308.
21. McClintock, B. T. (2004), "The Mark-Resight Method: an Application to Bighorn Sheep in Colorado and a Simulation Study Evaluating Estimators," unpublished M. S. thesis, Colorado State University, Fort Collins, CO. Available online at http://holly.colostate.edu/~btm119/ thesis.pdf.
22. McClintock, B. T., and White, G. C. (in press), "Bighorn Sheep Abundance Following a Suspected Pneumonia Epidemic in Rocky Mountain National Park," Wildlife Society Bulletin, in press.
23. Miller, S. D., White, G. C., Sellers, R. A., Reynolds, H. V., Schoen, J. W., Titus, K., Barnes, V. G., Smith, R. B., Nelson, R. R., Ballard, W. B., and Schwartz, C. C. (1997), "Brown and Black Bear Density Estimation Using Radiotelemetry and Replicated Mark-Resight Techniques," Wildlife Monographs, 133.
24. Minta, S., and Mangel, M. (1989), "A Simple Population Estimate Based on Simulation for Capture-Recapture and Capture-Resight Data," Ecology, 70, 1738-1751.
25. Neal, A. K., White, G. C., Gill, R. B., Reed, D. F., and Olterman, J. H. (1993), "Evaluation of Mark-Resight Model Assumptions for Estimating Mountain Sheep Numbers," Journal of Wildlife Management, 57, 436-450.
26. Norris, J. L., and Pollock, K. H. (1996), "Nonparametric MLE Under Two Closed Capture-Recapture Models with Heterogeneity," Biometrics, 52, 639-649.
27. Otis, D. L., Burnham, K. P., White, G. C., and Anderson, D. R. (1978), "Statistical Inference from Capture Data on Closed Animal Populations," Wildlife Monographs, 62.
28. Pledger, S. (2000), "Unified Maximum Likelihood Estimates for Closed Capture-Recapture Models Using Mixtures," Biometrics, 56, 434-442.
29. Pollock, K. H. (1982), "A Capture-Recapture Design Robust to Unequal Probability of Capture," Journal of Wildlife Management, 46, 752-760.
30. SAS Institute, Inc. (2002), SAS OnlineDoc, Version 9, Cary, NC: SAS Institute Inc.
31. Seber, G. A. F. (1982), The Estimation of Animal Abundance and Related Parameters (2nd ed.), London: Charles Griffin and Company.
32. Stanley, T. R., and Burnham, K. P. (1998), "Information-Theoretic Model Selection and Model Averaging for Closed-Population Capture-Recapture Studies," Biometrical Journal, 40, 475-494.
33. Unsworth, J. W., Pac, D. F., White, G. C., and Bartmann, R. M. (1999), "Mule Deer Survival in Colorado, Idaho, and Montana," Journal of Wildlife Management, 63, 315-326.
34. Venzon, D. J., and Moolgavkar, S. H. (1988), "A Method for Computing Profile-Likelihood Based Confidence Intervals," Applied Statistics, 37, 87-94.
35. Walsh, D. P., White, G. C., Remington, T. E., and Bowden, D. C. (2004), "Evaluation of the Lek-Count Index for Greater Sage-Grouse," Wildlife Society Bulletin, 32, 56-68.
36. White, G. C. (1993), "Evaluation of Radio Tagging Marking and Sighting Estimators of Population Size Using Monte Carlo Simulations," in Marked Individuals in the Study of Bird Populations, eds. J. D. Lebreton and P. M. North, Basel, Switzerland: Birkhauser Verlag, pp. 91-103.
37. White, G. C. (1996), "NOREMARK: Population Estimation from Mark-Resighting Surveys," Wildlife Society Bulletin, 24, 50-52.
38. White, G. C., and Burnham, K. P. (1999), "Program MARK: Survival Estimation from Populations of Marked Animals," Bird Study, 46 (Suppl.), pp. 120-138.
39. White, G. C., and Shenk, T. M. (2001), "Population Estimation with Radio-Marked Animals," in Radio Tracking and Animal Populations, eds. J. Millspaugh and J. M. Marzluff, San Diego: Academic Press, pp. 329-350.
40. Yip, P., Huggins, R. M., and Lin, D. Y. (1995), "Inference for Capture-Recapture Experiments in Continuous Time with Variable Capture Rates," Biometrika, 83, 477-483.