A soluble model of evolution and extinction dynamics in a rugged fitness landscape
Biological Physics
2009-10-30 v1 Statistical Mechanics
q-bio
Abstract
We consider a continuum version of a previously introduced and numerically studied model of macroevolution (PRL 75, 2055, (1995)) in which agents evolve by an optimization process in a rugged fitness landscape and die due to their competitive interactions. We first formulate dynamical equations for the fitness distribution and the survival probability. Secondly we analytically derive the law which characterizes the life time distribution of biological genera. Thirdly we discuss other dynamical properties of the model such as the rate of extinction and conclude with a brief discussion.
Keywords
Cite
@article{arxiv.physics/9705026,
title = {A soluble model of evolution and extinction dynamics in a rugged fitness landscape},
author = {Paolo Sibani},
journal= {arXiv preprint arXiv:physics/9705026},
year = {2009}
}
Comments
6 pages LaTeX source with 2 figures. Submitted to PRL (Jan. 97)