A Bayesian Approach to the Multistate Jolly–Seber Capture–Recapture Model

This article considers a Bayesian approach to the multistate extension of the Jolly-Seber model commonly used to estimate population abundance in capture-recapture studies. It extends the work of George and Robert (1992, Biometrika79, 677-683), which dealt with the Bayesian estimation of a closed population with only a single state for all animals. A super-population is introduced to model new entrants in the population. Bayesian estimates of abundance are obtained by implementing a Gibbs sampling algorithm based on data augmentation of the missing data in the capture histories when the state of the animal is unknown. Moreover, a partitioning of the missing data is adopted to ensure the convergence of the Gibbs sampling algorithm even in the presence of impossible transitions between some states. Lastly, we apply our methodology to a population of fish to estimate abundance and movement.

[1]  G. Seber.  A NOTE ON THE MULTIPLE-RECAPTURE CENSUS. , 1965, Biometrika.

[2]  Carl J. Schwarz,et al.  POPAN-4: Enhancements to a system for the analysis of mark-recapture data from open populations , 1995 .

[3]  Carl J. Schwarz,et al.  Estimating the movement among staging areas of the barnacle goose ( Branta leucopsis ) , 1995 .

[4]  J. D. Lebreton,et al.  Multistate recapture models: Modelling incomplete individual histories , 2002 .

[5]  Ruth King,et al.  Bayesian model discrimination for multiple strata capture‐recapture data , 2002 .

[6]  Carl J. Schwarz,et al.  Estimating migration rates using tag-recovery data , 1993 .

[7]  J. Dupuis.  Bayesian estimation of movement and survival probabilities from capture-recapture data , 1995 .

[8]  J. Greeff,et al.  Dispersal , 2019, The African Wild Dog.

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

[10]  A. N. Arnason,et al.  The estimation of population size, migration rates and survival in a stratified population , 1973, Researches on Population Ecology.

[11]  Olivier Gimenez,et al.  Parameter Redundancy in Multistate Capture‐Recapture Models , 2003 .

[12]  Kenneth H. Pollock,et al.  Capture-Recapture Models Allowing for Age-Dependent Survival and Capture Rates , 1981 .

[13]  B. J. Castledine.  A Bayesian analysis of multiple-recapture sampling for a closed population , 1981 .

[14]  Shirley Pledger,et al.  CORRECTION OF BIAS DUE TO HETEROGENEOUS CAPTURE PROBABILITY IN CAPTURE-RECAPTURE STUDIES OF OPEN POPULATIONS , 1998 .

[15]  K. Burnham,et al.  Program MARK: survival estimation from populations of marked animals , 1999 .

[16]  E. George.  Capture—recapture estimation via Gibbs sampling , 1992 .

[17]  S. Brooks,et al.  On the Bayesian analysis of population size , 2001 .

[18]  Carl J. Schwarz,et al.  A General Methodology for the Analysis of Capture-Recapture Experiments in Open Populations , 1996 .

[19]  G. Jolly.  EXPLICIT ESTIMATES FROM CAPTURE-RECAPTURE DATA WITH BOTH DEATH AND IMMIGRATION-STOCHASTIC MODEL. , 1965, Biometrika.

[20]  D. Rasch,et al.  Seber, G.A.F.: The estimation of animal abundance and related parameters. Griffin, London 1973, 1. Aufl. XII, 506 S., 34 Abb., 116 Tab., £ 12,— , 1974 .

[21]  Kenneth H. Pollock,et al.  CAPTURE-RECAPTURE STUDIES FOR MULTIPLE STRATA INCLUDING NON-MARKOVIAN TRANSITIONS , 1993 .

[22]  G. Seber,et al.  The estimation of animal abundance and related parameters , 1974 .

[23]  Prior distributions for stratified capture-recapture models , 2002 .

[24]  Roger Pradel,et al.  A Proposal for a Goodness‐of‐Fit Test to the Arnason‐Schwarz Multisite Capture‐Recapture Model , 2003, Biometrics.