Species Abundance Patterns in Complex Evolutionary Dynamics

Details Species Abundance Patterns in Complex Evolutionary Dynamics Species Abundance Patterns in Complex Evolutionary Dynamics

2004-09-20

arxiv.org/abs/nlin/0409033v1

Nonlinear Sciences

Adaptation and Self-Organizing Systems

4 pages, 3 figures. Physical Review Letters, in press

Scientific paper

10.1103/PhysRevLett.93.178102

An analytic theory of species abundance patterns (SAPs) in biological networks is presented. The theory is based on multispecies replicator dynamics equivalent to the Lotka-Volterra equation, with diverse interspecies interactions. Various SAPs observed in nature are derived from a single parameter. The abundance distribution is formed like a widely observed left-skewed lognormal distribution. As the model has a general form, the result can be applied to similar patterns in other complex biological networks, e.g. gene expression.

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