Capture-recapture estimation using finite mixtures of arbitrary dimension

Richard Arnold, Yu Hayakawa, Paul Yip

Research output: Contribution to journalArticle

13 Citations (Scopus)

Abstract

Reversible jump Markov chain Monte Carlo (RJMCMC) methods are used to fit Bayesian capture-recapture models incorporating heterogeneity in individuals and samples. Heterogeneity in capture probabilities comes from finite mixtures and/or fixed sample effects allowing for interactions. Estimation by RJMCMC allows automatic model selection and/or model averaging. Priors on the parameters stabilize the estimates and produce realistic credible intervals for population size for overparameterized models, in contrast to likelihood-based methods. To demonstrate the approach we analyze the standard Snowshoe hare and Cottontail rabbit data sets from ecology, a reliability testing data set.

Original languageEnglish
Pages (from-to)644-655
Number of pages12
JournalBiometrics
Volume66
Issue number2
DOIs
Publication statusPublished - 2010 Jun

Fingerprint

Reversible Jump Markov Chain Monte Carlo
Capture-recapture
Markov Chains
Finite Mixture
Credible Interval
Model Averaging
Hares
Monte Carlo Method
Markov Chain Monte Carlo Methods
Arbitrary
Rabbit
Ecology
Population Density
Population Size
Model Selection
Markov processes
Likelihood
Sylvilagus
Rabbits
Lepus americanus

Keywords

  • Bayesian model averaging
  • Capture-recapture
  • Closed populations
  • Heterogeneity
  • Mixture distribution
  • Reversible jump MCMC

ASJC Scopus subject areas

  • Applied Mathematics
  • Statistics and Probability
  • Agricultural and Biological Sciences(all)
  • Biochemistry, Genetics and Molecular Biology(all)
  • Immunology and Microbiology(all)
  • Medicine(all)

Cite this

Capture-recapture estimation using finite mixtures of arbitrary dimension. / Arnold, Richard; Hayakawa, Yu; Yip, Paul.

In: Biometrics, Vol. 66, No. 2, 06.2010, p. 644-655.

Research output: Contribution to journalArticle

Arnold, Richard ; Hayakawa, Yu ; Yip, Paul. / Capture-recapture estimation using finite mixtures of arbitrary dimension. In: Biometrics. 2010 ; Vol. 66, No. 2. pp. 644-655.
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