Simple Model of Large Scale Organization in Evolution
Condensed Matter
2008-02-03 v2 adap-org
Adaptation and Self-Organizing Systems
q-bio
Abstract
A mathematical model of interacting species filling ecological niches left by the extinction of others is introduced. Species organize themselves into genera of all sizes. The size of a genus on average grows linearly with its age, confirming a general relation between Age and Area proposed by Willis. The ecology exhibits punctuated equilibrium. Analytic and numerical results show that the probability distribution of genera sizes, genera lifetimes, and extinction event sizes are the same power law , consistent with paleontological data.
Cite
@article{arxiv.cond-mat/9607066,
title = {Simple Model of Large Scale Organization in Evolution},
author = {Susanna Manrubia and Maya Paczuski},
journal= {arXiv preprint arXiv:cond-mat/9607066},
year = {2008}
}
Comments
11 pages + 4 Figures. Revised for better explanation. To appear in International Journal of Modern Physics C