Evolution dynamics in terraced NK landscapes

We consider populations of agents evolving in the fitness landscape of an extended $\bf NK$ 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...

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Bibliographic Details
Published in:Europhysics letters 1999-11, Vol.48 (3), p.346-352
Main Authors: Sibani, P, Pedersen, A
Format: Article
Language:English
Subjects:
05.40.-a
87.10.+e
87.15.Aa
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Summary:We consider populations of agents evolving in the fitness landscape of an extended $\bf NK$ 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.
ISSN:0295-5075
1286-4854
DOI:10.1209/epl/i1999-00487-7