Estimating N: a robust approach to capture heterogeneity

We evaluate the performance of a new mixture model for heterogeneity in capture probability when estimating the size of a closed population of wild animals. The new model expresses the capture probability as a mixture of a binomial distribution and a beta-binomial distribution. For real data sets, it is shown how the new model can provide a suitable framework for model discrimination. When there is no best model from within the family of models represented by the new mixture, we recommend adopting a conservative approach to estimating population size.

[1]  S P Brooks,et al.  Finite mixture models for proportions. , 1997, Biometrics.

[2]  J. Norris,et al.  NONPARAMETRIC MLE UNDER TWO CLOSED CAPTURE-RECAPTURE MODELS WITH HETEROGENEITY , 1996 .

[3]  J. Andrew Royle,et al.  Mixture Models for Estimating the Size of a Closed Population When Capture Rates Vary among Individuals , 2003, Biometrics.

[4]  A. Munk,et al.  On Identifiability in Capture–Recapture Models , 2006, Biometrics.

[5]  Kenneth P. Burnham,et al.  Estimation of population size in multiple capture-recapture studies when capture probabilities vary among animals , 1972 .

[6]  Shirley Pledger,et al.  The Performance of Mixture Models in Heterogeneous Closed Population Capture–Recapture , 2005, Biometrics.

[7]  J. Andrew Royle,et al.  Rejoinder to "The Performance of Mixture Models in Heterogeneous Closed Population Capture‐Recapture" , 2005 .

[8]  Byron J. T. Morgan,et al.  A new mixture model for capture heterogeneity , 2008 .

[9]  David R. Anderson,et al.  Statistical inference from capture data on closed animal populations , 1980 .

[10]  A. Agresti,et al.  The Use of Mixed Logit Models to Reflect Heterogeneity in Capture‐Recapture Studies , 1999, Biometrics.

[11]  W. Link The author replied as follows: , 2006 .

[12]  S. Pledger Unified Maximum Likelihood Estimates for Closed Capture–Recapture Models Using Mixtures , 2000, Biometrics.

[13]  W. Link Nonidentifiability of Population Size from Capture‐Recapture Data with Heterogeneous Detection Probabilities , 2003, Biometrics.