A semiparametric model for a functional behavioural response to capture in capture-recapture experiments

Australian and New Zealand Journal of Statistics

Volumn 53, Issue 4, 2011, Pages 403-421

  Hwang, Wen Han ^a   Huggins, Richard ^b  

^a NATIONAL CHUNG HSING UNIVERSITY   (Taiwan)

^b UNIVERSITY OF MELBOURNE   (Australia)

Author keywords

Closed population; Local polynomial; Population size

Indexed keywords

EID: 84868613308     PISSN: 13691473     EISSN: 1467842X     Source Type: Journal    
DOI: 10.1111/j.1467-842X.2011.00636.x     Document Type: Article

References (24)

1. BONNER, S.J.,THOMSON,D.&SCHWARZ,C.J. (2009).Time-varying covariates and semi-parametric regression in capture-recapture: an adaptive spline approach. In Modeling Demographic Processes in Marked Populations: Environmental and Ecological Statistics, Vol. 3, eds. D.L. Thomson, E.G. Cooch and M.J. Conroy, pp. 657-675. New York: Springer.
2. CARROLL, R., RUPPERT, D. & WELSH, A. (1998). Local estimating equations. J. Amer. Statist. Assoc. 93, 214-227.
3. FAN, J. & GIJBELS, I. (1996). Local Polynomial Modeling and its Applications. London: Chapman & Hall.
4. FAN, J.,HECKMAN, N.&WAND,M. (1995). Local polynomial kernel regression for generalized linear models and quasi-likelihood functions. J. Amer. Statist. Assoc. 90, 141-150.
5. FIRTH, D., GLOSUP, J. & HINKLEY, D. (1991). Model checking with nonparametric curves. Biometrika 78, 245-252.
6. GREEN, P. (1987). Penalized likelihood for general semi-parametric regression models. Inter. Statist. Rev. 55, 245-259.
7. HEINZE, D., BROOME, L. & MANSERGH, I. (2004). A review of the ecology and conservation of the mountain pygmy-possum burramys parvus. In The Biology of Australian Possums and Gliders, eds. R. Goldingay and S. Jackson, pp. 254-267. Chipping Norton: Surrey Beatty and Sons.
8. HORVITZ, D.G. & THOMPSON, D.J. (1952). A generalization of sampling without replacement from a finite universe. J. Amer. Statist. Assoc. 47, 663-685.
9. HUGGINS, R.M. (1989). On the statistical analysis of capture experiments. Biometrika 76, 133-140.
10. HUGGINS, R.M.&HWANG,W.H. (2007).Non-parametric estimation of population size from capture-recapture data when capture probability depends on a covariate. J. Roy. Statist. Soc. Ser. C 56, 429-443.
11. HWANG, W.H. & HUGGINS, R.M. (2007). Application of semiparametric regression models in the analysis of capture recapture experiments.Aust. N. Z. J. Stat. 49, 191-202.
12. KAUERMANN, G. & TUTZ, G. (2001). Testing generalized linear and semiparametric models against smooth alternatives. J. R. Statist. Soc. Ser. B 63, 147-166.
13. KING, R. & BROOKS, S.P. (2008). On the Bayesian estimation of a closed population size in the presence of heterogeneity and model uncertainty. Biometrics 64, 816-824.
14. OTIS, D.L., BURNHAM, K.P., WHITE, G.C. & ANDERSON, D.R. (1978). Statistical inference from capture data on closed animal populations. Wildlife Monographs 62, 1-135.
15. PLEDGER, S. (2000). Unified maximum likelihood estimates for closed capture-recapture models using mixtures. Biometrics 56, 434-442.
16. POLLOCK, K.H. (1991). Modeling capture, recapture, and removal statistics for estimation of demographic parameters for fish and wildlife populations: Past, present, and future. J. Amer. Statist. Assoc. 86, 225-238.
17. POLLOCK, K. H. (2002). The use of auxiliary variables in capture-recapture modeling: An overview. J. Appl. Statist. 29, 85-102.
18. R Development Core Team (2010). R: A Language and Environment for Statistical Computing. Vienna, Austria: R Foundation for Statistical Computing.
19. RUPPERT, D. (1997). Empirical-bias bandwidths for local polynomial nonparametric regression and density estimation. J. Amer. Statist. Assoc. 92, 1049-1062.
20. SEVERINI, T.A.&WONG,W.H. (1992). Profile likelihood and conditionally parametricmodels. Annals Statist. 20, 1768-1802.
21. SILVERMAN, B. W. (1986). Density Estimation for Statistics and Data Analysis. London: Chapman & Hall.
22. WOOD, S. N. (2006). Generalized Additive Models: An Introduction with R. Boca Raton, FL: Chapman and Hall/CRC.
23. YANG, H.C. & CHAO, A. (2005). Modeling animals' behavioural response by Markov chain models for capture-recapture experiments. Biometrics 61, 1010-1017.
24. ZWANE, E.N. & VAN DER HEIJDEN, P.G.M. (2004). Semiparametric models for capture-recapture studies with covariates. Comput. Statist. Data Anal. 47, 729-743.