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Multievent: An extension of multistate capture-recapture models to uncertain states. (English) Zbl 1077.62114
Summary: Capture-recapture models were originally developod to account for encounter probabilities that are less than 1 in free-ranging animal populations. Nowadays, these models can deal with the movement of animals between different locations and are also used to study transitions between different states. However, their use to estimate transitions between states does not account for uncertainty in state assignment. I present the extension of multievent models, which does incorporate this uncertainty. Multievent models belong to the family of hidden Markov models. I also show in this article that the memory model, in which the next state or location is influenced by the previous state occupied, can be fully treated within the framework of multievent models.

MSC:
62P10 Applications of statistics to biology and medical sciences; meta analysis
Software:
Matlab
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[1] Arnason, Parameter estimates from mark-recapture experiments on two populations subject to migration and death, Researches on Population Ecology 13, pp 97– (1972)
[2] Arnason, The estimation of population size, migration rates and survival in a stratified population, Researches on Population Ecology 15, pp 1– (1973)
[3] Baum, Statistical inference for probabilistic functions of finite state Markov chains, Annals of Mathematical Statistics 37, pp 1554– (1966) · Zbl 0144.40902
[4] Brownie, Capture-recapture studies for multiple strata including non-Markovian transitions, Biometrics 49, pp 1173– (1993) · Zbl 0825.62753
[5] Catchpole, Detecting parameter redundancy, Biometrika 84, pp 187– (1997) · Zbl 0883.62056
[6] Dupuis, Bayesian estimation of movement and survival probabilities from capture-recapture data, Biometrika 82, pp 761– (1995) · Zbl 0861.62072
[7] Fujiwara, Estimating population projection matrices from multi-stage mark-recapture data, Ecology 83, pp 3257– (2002)
[8] Gimenez, Parameter redundancy in multistate capture-recapture models, Biometrical Journal 45, pp 704– (2003)
[9] Hanselman, Mastering MATLAB 6 (2000)
[10] Hestbeck, Estimates of movement and site fidelity using mark-resight data of wintering Canada geese, Ecology 72, pp 523– (1991)
[11] Kendall, Adjusting multistate capture-recapture models for misclassification bias: Manatee breeding proportions, Ecology 84, pp 1058– (2003)
[12] Lebreton, The future of population dynamic studies using marked individuals: A statistician’s perspective, Journal of Applied Statistics 22, pp 1009– (1995)
[13] Lebreton, Multistate recapture models: Modelling incomplete individual histories, Journal of Applied Statistics 29, pp 353– (2002) · Zbl 1346.62134
[14] Lebreton, Competing events, mixture of information and multistrata recapture models, Bird Study 46, pp 39– (1999)
[15] MacDonald, Hidden Markov and Other Models for Discrete-Valued Time Series (1997) · Zbl 0868.60036
[16] McCullagh, Generalized Linear Models (1983) · doi:10.1007/978-1-4899-3244-0
[17] Nichols, Estimating breeding proportions and testing hypotheses about costs of reproduction with capture-recapture data, Ecology 75, pp 2052– (1994)
[18] Pledger, Open capture-recapture models with heterogeneity: I. Cormack-Jolly-Seber model, Biometrics 59, pp 786– (2003) · Zbl 1214.62116
[19] Pradel, A proposal for a goodness-of-fit test to the Arnason-Schwarz multisite capture-recapture model, Biometrics 59, pp 43– (2003) · Zbl 1210.62231
[20] Rabiner, Fundamentals of Speech Recognition (1993)
[21] Schwarz, Estimating animal abundance: Review III, Statistical Science 14, pp 427– (1999)
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