Coupled map lattice approximations for spatially explicit individual-based models of ecology
2005 (English)In: Bulletin of Mathematical Biology, ISSN 0092-8240, Vol. 67, no 4, 663-682 p.Article in journal (Refereed) Published
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.
Place, publisher, year, edition, pages
2005. Vol. 67, no 4, 663-682 p.
Research subject Mathematics
IdentifiersURN: urn:nbn:se:umu:diva-8159DOI: 10.1016/j.bulm.2004.09.006OAI: oai:DiVA.org:umu-8159DiVA: diva2:147830