×

Multistate mark-recapture model selection using score tests. (English) Zbl 1217.62206

Summary: Although multistate mark-recapture models are recognized as important, they lack a simple model-selection procedure. This article proposes and evaluates a step-up approach to select appropriate models for multistate mark-recapture data using score tests. Only models supported by the data require fitting, so that over-complicated model structures with too many parameters do not need to be considered. Typically only a small number of models are fitted, and the procedure is also able to identify parameter-redundant and near-redundant models. The good performance of the technique is demonstrated using simulation, and the approach is illustrated on a three-region Canada goose data set. In this case, it identifies a new model that is much simpler than the best model previously considered for this application.

MSC:

62P12 Applications of statistics to environmental and related topics
65C60 Computational problems in statistics (MSC2010)
62N03 Testing in survival analysis and censored data
62P10 Applications of statistics to biology and medical sciences; meta analysis

Software:

M-SURGE
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] Borysiewicz , R. S. 2008 The combined analysis of multi-site mark-recapture-recovery and multi-site census data Ph.D. Thesis
[2] Brownie, Capture-recapture studies for multiple strata including non-Markovian transitions, Biometrics 49 pp 1173– (1993) · Zbl 0825.62753 · doi:10.2307/2532259
[3] Burnham, Model Selection and Multimodel Inference: A Practical Information Theoretic Approach (2002) · Zbl 1005.62007
[4] Catchpole, Model selection in ring-recovery models using score tests, Biometrics 52 pp 154– (1996) · Zbl 0875.62535 · doi:10.2307/2532904
[5] Catchpole, Detecting parameter redundancy, Biometrika 84 pp 187– (1997) · Zbl 0883.62056 · doi:10.1093/biomet/84.1.187
[6] Catchpole, Integrated recovery/recapture data analysis, Biometrics 54 pp 33– (1998) · Zbl 1058.62586 · doi:10.2307/2533993
[7] Catchpole, Estimation in parameter redundant models, Biometrika 85 pp 462– (1998) · Zbl 0938.62012 · doi:10.1093/biomet/85.2.462
[8] Catchpole, Modelling the survival of British Lapwings Vanellus vanellus using ring-recovery data and weather covariates, Bird Study 46 (suppl.) pp 5– (1999) · doi:10.1080/00063659909477226
[9] Catchpole, On the near singularity of models for animal recovery data, Biometrics 57 pp 397– (2001) · Zbl 1209.62350 · doi:10.1111/j.0006-341X.2001.00720.x
[10] Choquet, M-Surge: New software specifically designed for multistate capture-recapture models, Animal Biodiversity and Conservation 27 pp 207– (2004)
[11] Claeskens, Model Selection and Model Averaging (2008) · Zbl 1166.62001 · doi:10.1017/CBO9780511790485
[12] Hestbeck, Estimates of movement and site fidelity using mark-resight data of wintering Canada geese, Ecology 72 pp 523– (1991) · doi:10.2307/2937193
[13] King, Closed-form likelihoods for Arnason-Schwarz models, Biometrika 90 pp 435– (2003) · Zbl 1035.62113 · doi:10.1093/biomet/90.2.435
[14] Lebreton, Competing events, mixtures of information and multistratum recapture models, Bird Study 46 pp S39– (1999) · doi:10.1080/00063659909477230
[15] Morgan, Applied Stochastic Modelling (2008)
[16] Rouan, A general framework for modelling memory in capture-recapture data, Journal of Agricultural Biological and Environmental Statistics 14 pp 338– (2009) · Zbl 1306.62330 · doi:10.1198/jabes.2009.06108
[17] Schwarz, Estimating migration rates using tag recovery data, Biometrics 59 pp 291– (1993)
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.