Ontology type: schema:ScholarlyArticle
2005-07
AUTHORSÅ. Brännström, D. J. T. Sumpter
ABSTRACTSpatially 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. More... »
PAGES663-682
http://scigraph.springernature.com/pub.10.1016/j.bulm.2004.09.006
DOIhttp://dx.doi.org/10.1016/j.bulm.2004.09.006
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PUBMEDhttps://www.ncbi.nlm.nih.gov/pubmed/15893547
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