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Ecological Interactions in Patchy Environments: From Patch-Occupancy Models to Cellular Automata

  • Conference paper
Patch Dynamics

Part of the book series: Lecture Notes in Biomathematics ((LNBM,volume 96))

Abstract

The ecological theory of species interactions rests largely on the competition and predatorprey models of Lotka, Volterra, Nicholson, and Gause (e.g., May 1973). These models neglect spatial structure in general, and patchiness in particular. In this paper we introduce cellular automata (CA) as a new class of models for population interactions in space. We will discuss the relations between CA models and the more familiar reaction-diffusion and patch-occupancy formulations, and compare the results of a simple CA competition model to the corresponding Markov chain patch-occupancy model. This comparison reveals some of the factors that determine when simple patch-occupancy models are successful approximations, and when spatially explicit CA models are more appropriate.

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Authors
  1. Hal Caswell
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  2. Ron J. Etter
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Editor information

Editors and Affiliations

  1. Department of Ecology & Evolutionary Biology, Princeton University, 08544-1003, Eno Hall, Princeton, NJ, USA

    Simon A. Levin

  2. Division of Environmental Sciences, University of California, 95616, Davis, CA, USA

    Thomas M. Powell

  3. Woods Hole Oceanographic Institution, 02543, Woods Hole, MA, USA

    John W. Steele

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© 1993 Springer-Verlag Berlin Heidelberg

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Caswell, H., Etter, R.J. (1993). Ecological Interactions in Patchy Environments: From Patch-Occupancy Models to Cellular Automata. In: Levin, S.A., Powell, T.M., Steele, J.W. (eds) Patch Dynamics. Lecture Notes in Biomathematics, vol 96. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-50155-5_8

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  • DOI: https://doi.org/10.1007/978-3-642-50155-5_8

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-56525-3

  • Online ISBN: 978-3-642-50155-5

  • eBook Packages: Springer Book Archive

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