• Author(s) / Creator(s)
  • We use an evolutionary approach to find “most appropriate” dispersal
    models for ecological applications. From a random walk with locally or
    nonlocally defined transition probabilities we derive a family of diffusion equations.
    We assume a monotonic dependence of its diffusion coefficient on the
    local population fitness and search for a model within this class that can invade
    populations with other dispersal type from the same class but is not invadable
    itself. We propose an optimization technique using numerically obtained
    principal eigenvalue of the invasion problem and obtain two candidates for
    evolutionary stable dispersal strategy: Fokker-Planck equation with diffusion
    coefficient decreasing with fitness and Attractive Diffusion equation (Okubo
    and Levin, 2001) with diffusion coefficient increasing with fitness. For FP case
    the transition probabilities are defined by the departure point and for AD case
    by the destination point. We show that for the case of small spatial variability
    of the population growth rate both models are close to the model for ideal free
    distribution by Cantrell et al. (2008).

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    Article (Draft / Submitted)
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    Attribution-NonCommercial 4.0 International