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Correlation Equations and Pair Approximations for Spatial Ecologiesby: D. A. Rand
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AbstractWith the advent of readily-accessible high-power computers it has become relatively easy to produce simulations of interesting spatial ecologies. Even at this early stage these have demonstrated that there is a range of new, interesting and important biological phenomena to be discovered in such systems (see Matthew Keeling's paper in this volume for references). These phenomena had previously been undiscovered because they are due to space, stochasticity and discreteness and because of the concentration on mean-field models. In such models fluctuations and correlations are ignored because it is assumed that not only does everyone behave like the mean individual but also all individuals perceive the same environment.
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