A Simple Model of Evolution with Variable System Size

Details A Simple Model of Evolution with Variable System Size A Simple Model of Evolution with Variable System Size

1997-05-07

arxiv.org/abs/physics/9705008v2

Phys. Rev. E 56:7128-7131 (1997)

Physics

Biological Physics

5 pages, RevTeX, with 5 figures, revised version accepted for publication in Phys. Rev. E

Scientific paper

10.1103/PhysRevE.56.7128

A simple model of biological extinction with variable system size is presented that exhibits a power-law distribution of extinction event sizes. The model is a generalization of a model recently introduced by Newman (Proc. R. Soc. Lond. B265, 1605 (1996). Both analytical and numerical analysis show that the exponent of the power-law distribution depends only marginally on the growth rate $g$ at which new species enter the system and is equal to the one of the original model in the limit $g\to\infty$. A critical growth rate $g_c$ can be found below which the system dies out. Under these model assumptions stable ecosystems can only exist if the regrowth of species is sufficiently fast.

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