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Research at St Andrews

Estimation of population size when capture probability depends on individual states

Research output: Contribution to journalArticle

Author(s)

Hannah Worthington, Rachel McCrea, Ruth King, Richard Griffiths

School/Research organisations

Abstract

We develop a multi-state model to estimate the size of a closed population from capture–recapture studies. We consider the case where capture–recapture data are not of a simple binary form, but where the state of an individual is also recorded upon every capture as a discrete variable. The proposed multi-state model can be regarded as a generalisation of the commonly applied set of closed population models to a multi-state form. The model allows for heterogeneity within the capture probabilities associated with each state while also permitting individuals to move between the different discrete states. A closed-form expression for the likelihood is presented in terms of a set of sufficient statistics. The link between existing models for capture heterogeneity is established, and simulation is used to show that the estimate of population size can be biased when movement between states is not accounted for. The proposed unconditional approach is also compared to a conditional approach to assess estimation bias. The model derived in this paper is motivated by a real ecological data set on great crested newts, Triturus cristatus.
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Details

Original languageEnglish
Pages (from-to)154-172
JournalJournal of Agricultural, Biological and Environmental Statistics
Volume24
Issue number1
Early online date17 Dec 2018
DOIs
Publication statusPublished - Mar 2019

    Research areas

  • Abundance, Closed population, Individual heterogeneity, Transition probabilities

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