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December 2019 Estimating abundance from multiple sampling capture-recapture data via a multi-state multi-period stopover model
Hannah Worthington, Rachel McCrea, Ruth King, Richard Griffiths
Ann. Appl. Stat. 13(4): 2043-2064 (December 2019). DOI: 10.1214/19-AOAS1264

Abstract

Capture-recapture studies often involve collecting data on numerous capture occasions over a relatively short period of time. For many study species this process is repeated, for example, annually, resulting in capture information spanning multiple sampling periods. To account for the different temporal scales, the robust design class of models have traditionally been applied providing a framework in which to analyse all of the available capture data in a single likelihood expression. However, these models typically require strong constraints, either the assumption of closure within a sampling period (the closed robust design) or conditioning on the number of individuals captured within a sampling period (the open robust design). For real datasets these assumptions may not be appropriate. We develop a general modelling structure that requires neither assumption by explicitly modelling the movement of individuals into the population both within and between the sampling periods, which in turn permits the estimation of abundance within a single consistent framework. The flexibility of the novel model structure is further demonstrated by including the computationally challenging case of multi-state data where there is individual time-varying discrete covariate information. We derive an efficient likelihood expression for the new multi-state multi-period stopover model using the hidden Markov model framework. We demonstrate the significant improvement in parameter estimation using our new modelling approach in terms of both the multi-period and multi-state components through both a simulation study and a real dataset relating to the protected species of great crested newts, Triturus cristatus.

Citation

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Hannah Worthington. Rachel McCrea. Ruth King. Richard Griffiths. "Estimating abundance from multiple sampling capture-recapture data via a multi-state multi-period stopover model." Ann. Appl. Stat. 13 (4) 2043 - 2064, December 2019. https://doi.org/10.1214/19-AOAS1264

Information

Received: 1 August 2018; Revised: 1 April 2019; Published: December 2019
First available in Project Euclid: 28 November 2019

zbMATH: 07160930
MathSciNet: MR4037421
Digital Object Identifier: 10.1214/19-AOAS1264

Keywords: great crested newts , Hidden Markov model , individual time-varying discrete covariate , multi-state data

Rights: Copyright © 2019 Institute of Mathematical Statistics

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Vol.13 • No. 4 • December 2019
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