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Modeling interdependent animal movement in continuous time

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  • Mu Niu
  • Paul G. Blackwell
  • Anna Skarin

Abstract

type="main" xml:lang="en"> This article presents a new approach to modeling group animal movement in continuous time. The movement of a group of animals is modeled as a multivariate Ornstein Uhlenbeck diffusion process in a high-dimensional space. Each individual of the group is attracted to a leading point which is generally unobserved, and the movement of the leading point is also an Ornstein Uhlenbeck process attracted to an unknown attractor. The Ornstein Uhlenbeck bridge is applied to reconstruct the location of the leading point. All movement parameters are estimated using Markov chain Monte Carlo sampling, specifically a Metropolis Hastings algorithm. We apply the method to a small group of simultaneously tracked reindeer, Rangifer tarandus tarandus, showing that the method detects dependency in movement between individuals.

Suggested Citation

  • Mu Niu & Paul G. Blackwell & Anna Skarin, 2016. "Modeling interdependent animal movement in continuous time," Biometrics, The International Biometric Society, vol. 72(2), pages 315-324, June.
  • Handle: RePEc:bla:biomet:v:72:y:2016:i:2:p:315-324
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    Cited by:

    1. Mu Niu & Fay Frost & Jordan E. Milner & Anna Skarin & Paul G. Blackwell, 2022. "Modelling group movement with behaviour switching in continuous time," Biometrics, The International Biometric Society, vol. 78(1), pages 286-299, March.
    2. Zaineb L. Boulil & John W. Durban & Holly Fearnbach & Trevor W. Joyce & Samantha G. M. Leander & Henry R. Scharf, 2023. "Detecting Changes in Dynamic Social Networks Using Multiply-Labeled Movement Data," Journal of Agricultural, Biological and Environmental Statistics, Springer;The International Biometric Society;American Statistical Association, vol. 28(2), pages 243-259, June.
    3. Guy P. Nason & Ben Powell & Duncan Elliott & Paul A. Smith, 2017. "Should we sample a time series more frequently?: decision support via multirate spectrum estimation," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 180(2), pages 353-407, February.
    4. Toby A. Patterson & Alison Parton & Roland Langrock & Paul G. Blackwell & Len Thomas & Ruth King, 2017. "Statistical modelling of individual animal movement: an overview of key methods and a discussion of practical challenges," AStA Advances in Statistical Analysis, Springer;German Statistical Society, vol. 101(4), pages 399-438, October.
    5. Michael A. Spence & Evalyne W. Muiruri & David L. Maxwell & Scott Davis & Dave Sheahan, 2021. "The application of continuous‐time Markov chain models in the analysis of choice flume experiments," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 70(4), pages 1103-1123, August.
    6. Svetlana V. Tishkovskaya & Paul G. Blackwell, 2021. "Bayesian estimation of heterogeneous environments from animal movement data," Environmetrics, John Wiley & Sons, Ltd., vol. 32(6), September.

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