On the Bayesian Analysis of Ring‐Recovery Data

Vounatsou and Smith (1995, Biometrics 51, 687-708) describe the modern Bayesian analysis of ring-recovery data. Here we discuss and extend their work. We draw different conclusions from two major data analyses. We emphasize the extreme sensitivity of certain parameter estimates to the choice of prior distribution and conclude that naive use of Bayesian methods in this area can be misleading. Additionally, we explain the discrepancy between the Bayesian and classical analyses when the likelihood surface has a flat ridge. In this case, when there is no unique maximum likelihood estimate, the Bayesian estimators are remarkably precise.

[1]  David B. Dunson,et al.  Bayesian Data Analysis , 2010 .

[2]  Penelope Vounatsou,et al.  Bayesian Analysis of Ring-Recovery Data Via Markov Chain Monte Carlo Simulation , 1995 .

[3]  Byron J. T. Morgan,et al.  Boundary Estimation in Ring Recovery Models , 1994 .

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

[5]  Dani Gamerman,et al.  Markov Chain Monte Carlo: Stochastic Simulation for Bayesian Inference , 1997 .

[6]  Bradley P. Carlin,et al.  BAYES AND EMPIRICAL BAYES METHODS FOR DATA ANALYSIS , 1996, Stat. Comput..

[7]  Stephen P. Brooks,et al.  Markov chain Monte Carlo method and its application , 1998 .

[8]  B. Morgan,et al.  A modelling strategy for recovery data from birds ringed as nestlings. , 1992, Biometrics.

[9]  Clarence F. Pautzke Fish and Wildlife , 1965 .

[10]  G. Seber,et al.  Estimating Animal Abundance: Review III , 1999 .

[11]  Gareth O. Roberts,et al.  Convergence assessment techniques for Markov chain Monte Carlo , 1998, Stat. Comput..

[12]  J. Tukey,et al.  Transformations Related to the Angular and the Square Root , 1950 .

[13]  Byron J. T. Morgan,et al.  Integrated recovery/recapture data analysis , 1998 .

[14]  R. Paynter A new attempt to construct life tables for Kent Island herring gulls , 1966 .

[15]  David R. Anderson,et al.  Statistical Inference from Band Recovery Data: A Handbook , 1978 .

[16]  Byron J. T. Morgan,et al.  Model selection in ring-recovery models using score tests , 1996 .

[17]  Byron J. T. Morgan,et al.  Bayesian Animal Survival Estimation , 2000 .

[18]  P. Green Reversible jump Markov chain Monte Carlo computation and Bayesian model determination , 1995 .

[19]  Stephen E. Fienberg,et al.  Discrete Multivariate Analysis: Theory and Practice , 1976 .