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Effect of dimensionality on Lotka-Volterra predator-prey dynamics: Individual based simulation results

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Abstract

The effect of varying habitat dimensionality on the dynamics of a model predator-prey system is examined using an individual-based simulation. The general results are that in one dimension fluctuations in abundance of prey and predators occur over a large range of spatial scales (extinctions occur over many spatial scales). In two dimensions (and low mobilities of prey and predators) the dynamics become more predictably periodic at local scales and constant at larger scales due to statistical stabilization. In three dimensions, the model can become “phase-locked” with prey and predators displaying oscillations in abundance over large spatial scales.

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Authors and Affiliations

  1. Department of Biological Scienes, University of California at Santa Barbara, 93106, Santa Barbara, CA, U.S.A.

    W. G. Wilson

  2. Division of Ecology, Department of Biological Sciences, University of Calgary, T2N 1N4, Calgary, Alberta, Canada

    E. McCauley

  3. Department of Pure and Applied Ecology, University of Amsterdam, Kruislaan 318, 1098 SM, Amsterdam, The Netherlands

    A. M. De Roos

Authors
  1. W. G. Wilson
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  2. E. McCauley
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  3. A. M. De Roos
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Wilson, W.G., McCauley, E. & De Roos, A.M. Effect of dimensionality on Lotka-Volterra predator-prey dynamics: Individual based simulation results. Bltn Mathcal Biology 57, 507–526 (1995). https://doi.org/10.1007/BF02460780

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  • DOI: https://doi.org/10.1007/BF02460780

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