Species Formation in Simple Ecosystems

Details Species Formation in Simple Ecosystems Species Formation in Simple Ecosystems

1998-04-03

arxiv.org/abs/cond-mat/9804036v2

Int. Journ. of Mod. Phys. C 9, 555 (1998)

Physics

Condensed Matter

Statistical Mechanics

17 pages with 7 figures, submitted to Int.Journ. Mod. Phys. C. uses World Scientific macros (included) New version improved an

Scientific paper

10.1142/S0129183198000467

In this paper we consider a microscopic model of a simple ecosystem. The basic ingredients of this model are individuals, and both the phenotypic and genotypic levels are taken in account. The model is based on a long range cellular automaton (CA); introducing simple interactions between the individuals, we get some of the complex collective behaviors observed in a real ecosystem. Since our fitness function is smooth, the model does not exhibit the error threshold transition; on the other hand the size of total population is not kept constant, and the mutational meltdown transition is present. We study the effects of competition between genetically similar individuals and how it can lead to species formation. This speciation transition does not depend on the mutation rate. We present also an analytical approximation of the model.

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