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EVOLUTIONARILY STABLE DIFFUSIVE DISPERSAL
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- Author(s) / Creator(s)
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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). -
- Date created
- 2014-01-01
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- Subjects / Keywords
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- Type of Item
- Article (Draft / Submitted)