A Simple Model of Evolution with Variable System Size
Abstract
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 at which new species enter the system and is equal to the one of the original model in the limit . A critical growth rate 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.
Cite
@article{arxiv.physics/9705008,
title = {A Simple Model of Evolution with Variable System Size},
author = {C. Wilke and T. Martinetz},
journal= {arXiv preprint arXiv:physics/9705008},
year = {2016}
}
Comments
5 pages, RevTeX, with 5 figures, revised version accepted for publication in Phys. Rev. E