Why a time effect often has a limited impact on capture-recapture estimates in closed populations

Canadian Journal of Statistics

Volumn 36, Issue 1, 2008, Pages 75-84

  Rivest, Louis Paul ^a  

^a UNIVERSITÉ LAVAL   (Canada)

Author keywords

Heterogeneity in capture probabilities; Log convexity; Mixture model; Multinomial distribution; Overdispersion; Poisson regression.

Indexed keywords

EID: 44649140683     PISSN: 03195724     EISSN: None     Source Type: Journal    
DOI: 10.1002/cjs.5550360108     Document Type: Article

References (31)

1. A. Agresti (1994). Simple capture-recapture models permitting unequal catchability and variable sampling effort. Biometrics, 50, 494-500.
2. S. Baillargeon & L.-P. Rivest (2007). The Rcapture package: Loglinear models for capture-recapture in R. Journal of Statistical Software, 19, issue 5, http://www.jstatsoft.org/v19/i05
3. K. P. Burnham & W. S. Overton (1978). Estimation of the size of a closed population when capture probabilities vary among animals. Biometrika, 65, 625-633.
4. A. Chao (1989). Estimating population size for sparse data in capture-recapture experiment. Biometrics, 45, 427-438.
5. A. Chao, S. M. Lee & S. L. Jeng (1992). Estimating population size for capture-recapture data when capture probabilities vary by time and individual animal. Biometrics, 48, 201-216.
6. R. M. Cormack (1989). Loglinear models for capture-recapture. Biometrics, 45, 395-413.
7. R. M. Cormack & P. E. Jupp (1991). Inference for Poisson and multinomial models for capture-recapture experiments. Biometrika, 78, 911-916.
8. B. A. Coull & A. Agresti (1999). The use of mixed logit models to reflect heterogeneity in capture recapture studies. Biometrics, 55, 294-301.
9. J. N. Darroch, S. E. Fienberg, G. Glonek & B. Junker (1993). A three sample multiple capture-recapture approach to the census population estimation with heterogeneous catchability. Journal of the American Statistical Association, 88, 1137-1148.
10. R. M. Dorazio & J. A. Royle (2003). Mixture models for estimating the size of a closed population when capture rates vary among individuals. Biometrics, 59, 351-364.
11. k contingency tables. Biometrika, 59, 591-603.
12. A. E. Gelfand & S. R. Dalal (1990). A note on overdispersed exponential family. Biometrika, 77, 55-64.
13. G. H. Hardy, J. E. Littlewood & G. Pólya (1952). Inequalities, 2nd edition. Cambridge University Press.
14. R. Huggins (2001). A note on the difficulties associated with the analysis of capture-recapture experiments with heterogeneous capture probabilities. Statistics & Probability Letters, 54, 147-152.
15. W. H. Hwang & R. Huggins (2005). An examination of the effect of heterogeneity on the estimation of population size using capture-recapture data. Biometrika, 92, 229-233.
16. B. G. Lindsay (1986). Exponential family mixture models (with least-squares estimators). The Annals of Statistics, 14, 124-137.
17. W. A. Link (2003). Nonidentifiability of population size from capture-recapture data with heterogeneous detection probabilities. Biometrics, 59, 1123-1130.
18. C. X. Mao & B. G. Lindsay (2003). Tests and diagnostics for heterogeneity in the species problem. Com- putational Statistics and Data Analysis, 41, 389-398.
19. A. W. Marshall & I. Olkin (1979). Inequalities: Theory of Majorization and Its Applications. Academic Press, New York.
20. P. McCullagh (1994). Exponential mixtures and quadratic exponential families. Biometrika, 81, 721-729.
21. L. N. Norris & K. H. Pollock (1996). Nonparametric MLE under two closed capture-recapture models with heterogeneity. Biometrics, 52, 639-649.
22. S. Pledger (2000). Unified maximum likelihood estimates for closed capture-recapture models using mixtures. Biometrics, 56, 434-442.
23. K. H. Pollock & M. C. Otto (1983). Robust estimation of population size in closed animal populations from capture-recapture experiments. Biometrics, 39, 1035-1049.
24. L.-P. Rivest & S. Baillargeon (2007). Applications and extensions of Chao's moment estimator for the size of a closed population. Biometrics, 63, 999-1006.
25. L.-P. Rivest & G. Daigle (2004). Loglinear models for the robust design in mark-recapture experiments. Biometrics, 60, 100-107.
26. L.-P. Rivest & T. Lévesque (2001). Improved loglinear model estimators of abundance in capture-recapture experiments. The Canadian Journal of Statistics, 29, 555-572.
27. R. L. Sandland & R. M. Cormack (1984). Statistical inference for Poisson and multinomial models for capture-recapture experiments. Biometrika, 71, 27-33.
28. G. A. F. Seber (1982). The Estimation of Animal Abundance and Related Parameters, 2nd edition. Macmillan, New York.
29. M. Shaked (1980). On mixture from exponential families. Journal of the Royal Statistical Society Series B, 42, 192-198.
30. W. Whitt (1985). Uniform conditional variability ordering of probability distributions. Journal of Applied Probability, 22, 619-633.
31. B. K. Williams, J. D. Nichols & M. J. Conroy (2002). Analysis and Management of Animal Populations. Academic Press, San Diego.