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Closed‐population capture–recapture modeling of samples drawn one at a time
Author(s) -
Barker Richard J.,
Schofield Matthew R.,
Wright Janine A.,
Frantz Alain C.,
Stevens Chris
Publication year - 2014
Publication title -
biometrics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.298
H-Index - 130
eISSN - 1541-0420
pISSN - 0006-341X
DOI - 10.1111/biom.12241
Subject(s) - meles , mark and recapture , sampling (signal processing) , bayes' theorem , poisson distribution , statistics , computer science , poisson sampling , population , econometrics , bayesian probability , badger , mathematics , biology , markov chain monte carlo , ecology , slice sampling , demography , filter (signal processing) , sociology , computer vision
Summary Motivated by field sampling of DNA fragments, we describe a general model for capture–recapture modeling of samples drawn one at a time in continuous‐time. Our model is based on Poisson sampling where the sampling time may be unobserved. We show that previously described models correspond to partial likelihoods from our Poisson model and their use may be justified through arguments concerning S ‐ and Bayes‐ancillarity of discarded information. We demonstrate a further link to continuous‐time capture–recapture models and explain observations that have been made about this class of models in terms of partial ancillarity. We illustrate application of our models using data from the European badger ( Meles meles ) in which genotyping of DNA fragments was subject to error.