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A Two-Species Occupancy Model with a Continuous-Time Detection Process Reveals Spatial and Temporal Interactions

Author

Listed:
  • Kenneth F. Kellner

    (West Virginia University
    SUNY College of Environmental Science and Forestry)

  • Arielle W. Parsons

    (North Carolina Museum of Natural Sciences
    North Carolina State University)

  • Roland Kays

    (North Carolina Museum of Natural Sciences
    North Carolina State University)

  • Joshua J. Millspaugh

    (University of Montana)

  • Christopher T. Rota

    (West Virginia University)

Abstract

Detection/non-detection data are increasingly collected in continuous time, e.g., via camera traps or acoustic sensors. Application of occupancy modeling approaches to these datasets typically requires discretizing the dataset to detections over individual days or weeks, which precludes analysis of temporal interactions between species or covariate relationships that change over fine temporal scales. To address this limitation, we developed a two-species occupancy model that assumes a temporal point process detection model. This model permits simultaneous analysis of species interactions in space (i.e., site occupancy) and time (i.e., activity patterns). The model is also capable of estimating the amount of time animals are available for detection, i.e., availability. We applied the model to detections of white-tailed deer (Odocoileus virginianus) and coyote (Canis latrans) collected via camera trapping. We found evidence of both temporal and spatial interactions between deer and coyote. Detection intensity of deer was greater and proportionally more diurnal where coyotes were present. At hunted sites, coyotes were more likely to occur at sites where deer were also present (and vice versa). These results highlight how two-species occupancy models with a continuous-time detection process can be used to infer temporal interactions between species. Our approach broadens the set of questions ecologists can ask regarding both spatial and temporal interactions between species, as well as fine-scale temporal covariates (e.g., weather). Our model should be increasingly applicable given the increasing availability of ecological data collected in continuous time. Supplementary materials accompanying this paper appear on-line

Suggested Citation

  • Kenneth F. Kellner & Arielle W. Parsons & Roland Kays & Joshua J. Millspaugh & Christopher T. Rota, 2022. "A Two-Species Occupancy Model with a Continuous-Time Detection Process Reveals Spatial and Temporal Interactions," Journal of Agricultural, Biological and Environmental Statistics, Springer;The International Biometric Society;American Statistical Association, vol. 27(2), pages 321-338, June.
  • Handle: RePEc:spr:jagbes:v:27:y:2022:i:2:d:10.1007_s13253-021-00482-y
    DOI: 10.1007/s13253-021-00482-y
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    References listed on IDEAS

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    1. Carpenter, Bob & Gelman, Andrew & Hoffman, Matthew D. & Lee, Daniel & Goodrich, Ben & Betancourt, Michael & Brubaker, Marcus & Guo, Jiqiang & Li, Peter & Riddell, Allen, 2017. "Stan: A Probabilistic Programming Language," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 76(i01).
    2. Michael J. Cherry & L. Mike Conner & Robert J. Warren, 2015. "Effects of predation risk and group dynamics on white-tailed deer foraging behavior in a longleaf pine savanna," Behavioral Ecology, International Society for Behavioral Ecology, vol. 26(4), pages 1091-1099.
    3. Robert M Dorazio & K Ullas Karanth, 2017. "A hierarchical model for estimating the spatial distribution and abundance of animals detected by continuous-time recorders," PLOS ONE, Public Library of Science, vol. 12(5), pages 1-18, May.
    4. Roland Langrock & David L. Borchers & Hans J. Skaug, 2013. "Markov-Modulated Nonhomogeneous Poisson Processes for Modeling Detections in Surveys of Marine Mammal Abundance," Journal of the American Statistical Association, Taylor & Francis Journals, vol. 108(503), pages 840-851, September.
    5. Matthew R. Schofield & Richard J. Barker & Nicholas Gelling, 2018. "Continuous†time capture–recapture in closed populations," Biometrics, The International Biometric Society, vol. 74(2), pages 626-635, June.
    6. Erin M. Schliep & Alan E. Gelfand & James S. Clark & Roland Kays, 2018. "Joint Temporal Point Pattern Models for Proximate Species Occurrence in a Fixed Area Using Camera Trap Data," Journal of Agricultural, Biological and Environmental Statistics, Springer;The International Biometric Society;American Statistical Association, vol. 23(3), pages 334-357, September.
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    Cited by:

    1. Eivind Flittie Kleiven & Frédéric Barraquand & Olivier Gimenez & John-André Henden & Rolf Anker Ims & Eeva Marjatta Soininen & Nigel Gilles Yoccoz, 2023. "A Dynamic Occupancy Model for Interacting Species with Two Spatial Scales," Journal of Agricultural, Biological and Environmental Statistics, Springer;The International Biometric Society;American Statistical Association, vol. 28(3), pages 466-482, September.

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