Analysis of Population Change and Movement Using Robust Design Removal Data

William A. Link (), Sarah J. Converse, Amy A. Yackel Adams and Nathan J. Hostetter
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William A. Link: U.S. Geological Survey
Sarah J. Converse: University of Washington
Amy A. Yackel Adams: Fort Collins Science Center
Nathan J. Hostetter: U.S. Geological Survey

Journal of Agricultural, Biological and Environmental Statistics, 2018, vol. 23, issue 4, No 3, 463-477

Abstract: Abstract In capture-mark-reencounter studies, Pollock’s robust design combines methods for open populations with methods for closed populations. Open population features of the robust design allow for estimation of rates of death or permanent emigration, and closed population features enhance estimation of population sizes. We describe a similar design, but for use with removal data. Data collection occurs on secondary sampling occasions clustered within primary sampling periods. Primary sampling periods are intervals of brief enough duration that it can be safely assumed that the population is unchanged by births, deaths, immigration or emigration during them; all population change and movement occurs between primary sampling periods. Our model provides a basis for inference about population size, changes in population size, and movement rates among sample locations between primary sampling periods. Movement rates are modeled as functions of distance and time. Capture probabilities are modeled as a function of effort. We apply the model to data obtained in attempting to eradicate an introduced population of veiled chameleons (Chamaeleo calyptratus) on the island of Maui in Hawaii. Supplementary materials accompanying this paper appear online.

Keywords: Latent matrices; Markov basis; Markov chain Monte Carlo; Removal model; Robust design; Skellam distribution (search for similar items in EconPapers)
Date: 2018
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DOI: 10.1007/s13253-018-0335-8

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