Europhys. Lett, 48 (3), pp. 346-352 (1999)
Evolution dynamics in terraced NK landscapes
P. Sibani and A. Pedersen
Fysisk Institut, SDU-Odense Universitet
Campusvej 55, DK5230 Odense M, Denmark
(received 15 April 1999; accepted in final form 1 September 1999)
- Biological and medical physics: General theory and mathematical
PACS. 87.15Aa - Biomolecules: Theory and modeling; computer simulation.
PACS. 05.40 - Fluctuation phenomena, random processes, noise, and Brownian motion.
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.
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