An evolutionary model for simple ecosystems

Details An evolutionary model for simple ecosystems An evolutionary model for simple ecosystems

1999-06-11

arxiv.org/abs/cond-mat/9906164v1

Annual Reviews of Computational Physics VII (World Scientific, Singapore 2000) p.265

Physics

Condensed Matter

Statistical Mechanics

36 pages, including 16 figures, to appear in Annual Review of Computational Physics, D. Stauffer (ed.), World Scientific, Sing

Scientific paper

In this review some simple models of asexual populations evolving on smooth landscapes are studied. The basic model is based on a cellular automaton, which is analyzed here in the spatial mean-field limit. Firstly, the evolution on a fixed fitness landscape is considered. The correspondence between the time evolution of the population and equilibrium properties of a statistical mechanics system is investigated, finding the limits for which this mapping holds. The mutational meltdown, Eigen's error threshold and Muller's ratchet phenomena are studied in the framework of a simplified model. Finally, the shape of a quasi-species and the condition of coexistence of multiple species in a static fitness landscape are analyzed. In the second part, these results are applied to the study of the coexistence of quasi-species in the presence of competition, obtaining the conditions for a robust speciation effect in asexual populations.

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