Species Abundance Patterns in Complex Evolutionary Dynamics
arXiv:nlin/0409033 · doi:10.1103/PhysRevLett.93.178102
Abstract
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.
4 pages, 3 figures. Physical Review Letters, in press
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- Incorporating Heterogeneous Interactions for Ecological Biodiversity
- Multiple peaks of species abundance distributions induced by sparse interactions
- Stability and Restoration phenomena in Competitive Systems
- Competition-induced increase of species abundance in mutualistic networks
- Species-area relationship for power-law species abundance distribution
- Relative species abundance of replicator dynamics with sparse interactions
- Statistical mechanics of relative species abundance