Volume 48, Number 3, November I 1999
|Page(s)||346 - 352|
|Section||Interdisciplinary physics and related areas of science and technology|
|Published online||01 September 2002|
Evolution dynamics in terraced NK landscapes
Fysisk Institut, SDU-Odense Universitet Campusvej 55, DK5230 Odense M, Denmark
Accepted: 1 September 1999
We consider populations of agents evolving in the fitness landscape of an extended model with a tunable amount of neutrality. We study the statistics of the jumps in mean population fitness which occur in the "punctuated equilibrium” regime and show that, for a wide range of landscapes parameters, the number of events in time t is Poisson distributed, with the time parameter replaced by the logarithm of time. This simple log-Poisson statistics likewise describes the number of records in any sequence of t independently generated random numbers. The implications of such behavior for evolution dynamics are discussed.
PACS: 87.10.+e – Biological and medical physics: General theory and mathematical aspects / 87.15.Aa – Biomolecules: Theory and modeling; computer simulation / 05.40.-a – Fluctuation phenomena, random processes, noise, and Brownian motion
© EDP Sciences, 1999
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