Coupled map lattice approximations for spatially explicit individual-based models of ecology |
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Authors: | Email author" target="_blank">??Br?nnstr?mEmail author D?J?T?Sumpter |
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Institution: | 1.Mathematics Department,Ume? University,Ume?,Sweden |
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Abstract: | Spatially explicit individual-based models are widely used in ecology but they are often difficult to treat analytically.
Despite their intractability they often exhibit clear temporal and spatial patterning. We demonstrate how a spatially explicit
individual-based model of scramble competition with local dispersal can be approximated by a stochastic coupled map lattice.
The approximation disentangles the deterministic and stochastic element of local interaction and dispersal. We are thus able
to understand the individual-based model through a simplified set of equations. In particular, we demonstrate that demographic
noise leads to increased stability in the dynamics of locally dispersing single-species populations. The coupled map lattice
approximation has general application to a range of spatially explicit individual-based models. It provides a new alternative
to current approximation techniques, such as the method of moments and reaction-diffusion approximation, that captures both
stochastic effects and large-scale patterning arising in individual-based models. |
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