Rouan, L.; Choquet, R.; Pradel, R. A general framework for modeling memory in capture-recapture data. (English) Zbl 1306.62330 J. Agric. Biol. Environ. Stat. 14, No. 3, 338-355 (2009). Summary: In classical multisite capture-recapture (CR) models, the probability of moving to a new location depends only on the current site occupied. Yet, it is known that some species, such as Canada geese (Branta Canadensis), have a strong tendency to return to sites visited earlier during their life. To account for this “phenomenon of memory,” several authors have considered CR models in which transition probabilities depend not only on the current location of the individuals but also on the sites previously visited. In this article, we clarify the differences between these previous “memory” models and provide a general framework for the study of memory using CR data. We illustrate this study with the reanalysis of the movements of Canada geese among three wintering sites. Cited in 7 Documents MSC: 62P12 Applications of statistics to environmental and related topics Keywords:Canada geese (branta canadensis); hidden Markov model; hybrid symbolic-numeric method; memory model; multievent model; parameter redundancy; transients Software:U-CARE; E-Surge PDFBibTeX XMLCite \textit{L. Rouan} et al., J. Agric. Biol. Environ. Stat. 14, No. 3, 338--355 (2009; Zbl 1306.62330) Full Text: DOI References: [1] Arnason, A. N. (1973), ”The Estimation of Population Size, Migration Rates and Survival in a Stratified Population,” Researches on Population Ecology, 15, 1–8. [2] Brownie, C., Hines, J. E., Nichols, J. D., Pollock, K. H., and Hestbeck, J. (1993), ”Capture–Recapture Studies for Multiple Strata Including Non-Markovian Transitions,” Biometrics, 49, 1173–1187. · Zbl 0825.62753 [3] Burnham, K. P., Anderson, D. R., White, G. C., Brownie, C., and Pollock, K. H. (1987), Design and Analysis Methods for Fish Survival Experiments Based on Release-Recapture, Bethesda, MD: American Fisheries Society. [4] Catchpole, E. A., and Morgan, B. J. T. (1997), ”Detecting Parameter Redundancy,” Biometrika, 84, 187–196. · Zbl 0883.62056 [5] – (2001), ”Deficiency of Parameter-Redundant Models,” Biometrika, 88, 593–598. · Zbl 0984.62094 [6] Choquet, G. (1973), Cours d’analyse, Tome 2, Topologie, Paris: Masson. [7] Choquet, R., Reboulet, A.-M., Lebreton, J.-D., Gimenez, O., and Pradel, R. (2005), ”U-CARE 2.2 User’s Manual,” CEFE, Montpellier, France. [8] Choquet, R., Rouan, L., and Pradel, R. (2008), ”Program E-SURGE: A Software Application for Fitting Multievent Models,” in Modeling Demographic Processes in Marked Populations. Environmental and Ecological Statistics, Vol. 3, eds. D. L. Thomson, E. G. Cooch, and M. J. Conroy, New York: Springer, pp. 845–865. [9] Gimenez, O., Choquet, R., and Lebreton, J.-D. (2003), ”Parameter Redundancy in Multistate Capture-Recapture Models,” Biometrical Journal, 45, 704–722. [10] Hestbeck, J. B., Nichols, J. D., and Malecki, R. A. (1991), ”Estimates of Movement and Site Fidelity Using Mark-Resight Data of Wintering Canada Geese,” Ecology, 72, 523–533. [11] Mourrain, B., and Prieto, H. (2000), ”A Framework for Symbolic and Numeric Computations,” Rapport de Recherche 4013, INRIA. [12] Pradel, R. (2005), ”Multievent: An Extension of Multistate Capture-Recapture Models to Uncertain States,” Biometrics, 61, 442–447. · Zbl 1077.62114 [13] Pradel, R., Gimenez, O., and Lebreton, J.-D. (2005), ”Principles and Interest of Gof Tests for Multistate Capture- Recapture Models,” Animal Biodiversity and Conservation, 28, 189–204. [14] Pradel, R., Hines, J. E., Lebreton, J.-D., and Nichols, J. D. (1997), ”Capture-Recapture Survival Models Taking Account of Transients,” Biometrics, 53, 60–72. · Zbl 0946.62093 [15] Pradel, R., Wintrebert, C., and Gimenez, O. (2003), ”A Proposal for a Goodness-of-Fit Test to the Arnason-Schwarz Multisite Capture-Recapture Model,” Biometrics, 59, 43–53. · Zbl 1210.62231 [16] Ridout, M. S. (1999), ”Memory in Coal Tits: An Alternative Model,” Biometrics, 55, 660–662. · Zbl 1059.62697 [17] Ron, D., Singer, Y., and Tishby, N. (1996), ”The Power of Amnesia: Learning Probabilistic Automata With Variable Memory Length,” Machine Learning, 25, 117–149. · Zbl 0869.68066 [18] Schwarz, C., Schweigert, J., and Arnason, A. (1993), ”Estimating Migration Rates Using Tag-Recovery Data,” Biometrics, 49, 177–193. This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.