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Bayesian Hierarchical Multi-Population Multistate Jolly–Seber Models With Covariates: Application to the Pallid Sturgeon Population Assessment Program

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  • Guohui Wu
  • Scott H. Holan

Abstract

Estimating abundance for multiple populations is of fundamental importance to many ecological monitoring programs. Equally important is quantifying the spatial distribution and characterizing the migratory behavior of target populations within the study domain. To achieve these goals, we propose a Bayesian hierarchical multi-population multistate Jolly–Seber model that incorporates covariates. The model is proposed using a state-space framework and has several distinct advantages. First, multiple populations within the same study area can be modeled simultaneously. As a consequence, it is possible to achieve improved parameter estimation by “borrowing strength” across different populations. In many cases, such as our motivating example involving endangered species, this borrowing of strength is crucial, as there is relatively less information for one of the populations under consideration. Second, in addition to accommodating covariate information, we develop a computationally efficient Markov chain Monte Carlo algorithm that requires no tuning. Importantly, the model we propose allows us to draw inference on each population as well as on multiple populations simultaneously. Finally, we demonstrate the effectiveness of our method through a motivating example of estimating the spatial distribution and migration of hatchery and wild populations of the endangered pallid sturgeon (Scaphirhynchus albus), using data from the Pallid Sturgeon Population Assessment Program on the Lower Missouri River. Supplementary materials for this article are available online.

Suggested Citation

  • Guohui Wu & Scott H. Holan, 2017. "Bayesian Hierarchical Multi-Population Multistate Jolly–Seber Models With Covariates: Application to the Pallid Sturgeon Population Assessment Program," Journal of the American Statistical Association, Taylor & Francis Journals, vol. 112(518), pages 471-483, April.
  • Handle: RePEc:taf:jnlasa:v:112:y:2017:i:518:p:471-483
    DOI: 10.1080/01621459.2016.1211531
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    References listed on IDEAS

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    1. Laura Cowen & Carl J. Schwarz, 2006. "The Jolly–Seber Model with Tag Loss," Biometrics, The International Biometric Society, vol. 62(3), pages 699-705, September.
    2. Abadi, Fitsum & Barbraud, Christophe & Besson, Dominique & Bried, Joël & Crochet, Pierre-André & Delord, Karine & Forcada, Jaume & Grosbois, Vladimir & Phillips, Richard A. & Sagar, Paul & Thompson, P, 2014. "Importance of accounting for phylogenetic dependence in multi-species mark–recapture studies," Ecological Modelling, Elsevier, vol. 273(C), pages 236-241.
    3. Jerome A. Dupuis & Carl James Schwarz, 2007. "A Bayesian Approach to the Multistate Jolly–Seber Capture–Recapture Model," Biometrics, The International Biometric Society, vol. 63(4), pages 1015-1022, December.
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