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A new Bayesian method for nonparametric capture-recapture models in presence of heterogeneity

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  • Luca Tardella

Abstract

The intrinsic heterogeneity of individuals is a potential source of bias in estimation procedures for capture-recapture models. To account for this heterogeneity in the model a hierarchical structure has been proposed whereby the probabilities that each animal is caught on a single occasion are modelled as independent draws from a common unknown distribution F. However, there is general agreement that modelling F by a simple parametric curve may lead to unsatisfactory results. Here we propose an alternative Bayesian approach that relies on a different parameterisation which imposes no assumption on the shape of F but drives the problem back to a finite-dimensional setting. Our approach avoids some identifiability issues related to such a recapture model while allowing for a formal Bayesian default analysis. Results of analyses of computer simulations and of real data show that the method performs well. Copyright Biometrika Trust 2002, Oxford University Press.

Suggested Citation

  • Luca Tardella, 2002. "A new Bayesian method for nonparametric capture-recapture models in presence of heterogeneity," Biometrika, Biometrika Trust, vol. 89(4), pages 807-817, December.
    • Handle: RePEc:oup:biomet:v:89:y:2002:i:4:p:807-817
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    Cited by:

    1. Alfo, Marco & Farcomeni, Alessio & Tardella, Luca, 2007. "Robust semiparametric mixing for detecting differentially expressed genes in microarray experiments," Computational Statistics & Data Analysis, Elsevier, vol. 51(11), pages 5253-5265, July.
    2. Danilo Fegatelli & Luca Tardella, 2013. "Improved inference on capture recapture models with behavioural effects," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 22(1), pages 45-66, March.
    3. Chang Xu & Dongchu Sun & Chong He, 2014. "Objective Bayesian analysis for a capture–recapture model," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 66(2), pages 245-278, April.
    4. R. King & S. P. Brooks, 2008. "On the Bayesian Estimation of a Closed Population Size in the Presence of Heterogeneity and Model Uncertainty," Biometrics, The International Biometric Society, vol. 64(3), pages 816-824, September.

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