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Bayesian Estimation of Population Size via Capture-Recapture Model with Time Variation and Behavioral Response

Read  full  paper  at: http://www.scirp.org/journal/PaperInformation.aspx?PaperID=53036#.VLSF18nQrzE Author(s)   Xiaoyin Wang 1* , Zhuoqiong He 2 , Dongchu Sun 2   Affiliation(s) 1 Department of Mathematics, Towson Univeristy, Towson, MD, USA . 1 Department of Statistics, University of Missouri-Columbia, Columbia, MO, USA . 2 Department of Statistics, University of Missouri-Columbia, Columbia, MO, USA . ABSTRACT We consider the problem of population estimation using capture-recapture data, where capture probabilities can vary between sampling occasions and behavioural responses. The original model is not identifiable without further restrictions. The novelty of this article is to expand the current research practice by developing a hierarchical Bayesian approach with the assumption that the odds of recapture bears a constant relationship to the odds of initial capture. A real-data example of deer mice population is given to illustrat...