Abstract
A new estimating procedure is suggested to estimate the population size in a capture-recapture experiment. The capture intensities for first-capture and recapture are allowed to be different and time dependent but they are assumed to be proportional. It is shown that the information on the proportionality constant is crucial to the estimation of the population size. Sensitivity analysis with a misspecification of the proportionality constant is conducted. The method has also been extended to the case with an unknown proportionality. A real example is given.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Becker, N.G. (1984) Estimating population size from capture-recapture experiments in continuous time. The Australian Journal of Statistics, 26, 1-7.
Chao, A. (1987) Estimating the population size for capture-recapture data with unequal capturability. Biometrics, 43, 783-91.
Godambe, V.P. (1985) The foundations of finite sample estimation in stochastic processes. Biometrika, 72, 419-28.
Godambe, V.P. and Heyde, C.C. (1987) Quasi-likelihood with optimal estimation. International Statistical Review, 55, 231-44.
Lin, D.Y. and Yip, P.S.F. (1999) Parametric rgression models for continuous time removal and recapture studies. Journal of Royal Statistical Society, Series B, 61, 401-11.
Lloyd, C.J. and Chaiyapong, C. (1997) Improved inference for recapture experiments with behavioural response through modelling and auxiliary experimentation. The Australian Journal of Statistics, 38, 317-32.
Lloyd, C.J., Yip, P.S.F., and Chan, K.S. (1998) A comparison of recapturing, removal and weighting design for population size estimation. Journal of Statistical Planning and Inference, 71, 363-75.
Nayak, T.K. (1988) Estimating population size by recapture sampling. Biometrika, 75, 113-20.
Otis, D.L., Burnham, K.P., White, G.C., and Anderson, D.R. (1978) Statistical inference from capture data on closed animal populations. Wildlife Monograph, 62, 1-135.
Pul, M.C. van (1992) Asymptotic properties of a class of statistical models in software reliability. Scandinavian Journal of Statistics, 19, 235-53.
Seber, G.A.F. (1982) The Estimation of Animal Abundance, 2nd ed. Macmillan, New York.
Yang M.C.K. and Chao, A. (1995) Reliability estimation and stopping rules for software testing based on repeated appearance. IEEE Transaction on Reliability, 44, 315-21.
Yip, P. (1991) A martingale estimating equation for capture-recapture experiment in discrete time. Biometrics, 47, 1081-88.
Yip, P., Fong, D.Y.T., and Wilson, K. (1993) Estimating population size by recapturing sampling via estimating function. Stochastic Models, 9, 179-93.
Yip, P. (1995) Estimating the number of errors in a system — Using a Martingale Approach. IEEE Transaction on Reliability, 44, 322-6.
Yip, P.S.F. (1996) Effect of plant-capture in a capture-recapture experiment. Communications in Statistics, 25, 2025-38.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Yip, P.S., Xi, L., Chao, A. et al. Estimating the population size with a behavioral response in capture-recapture experiment. Environmental and Ecological Statistics 7, 405–414 (2000). https://doi.org/10.1023/A:1026575616678
Issue Date:
DOI: https://doi.org/10.1023/A:1026575616678