| Issue |
Europhys. Lett.
Volume 48, Number 3, November I 1999
|
|
|---|---|---|
| Page(s) | 346 - 352 | |
| Section | Interdisciplinary physics and related areas of science and technology | |
| DOI | https://doi.org/10.1209/epl/i1999-00487-7 | |
| Published online | 01 September 2002 | |
Evolution dynamics in terraced NK landscapes
Fysisk Institut, SDU-Odense Universitet Campusvej 55, DK5230 Odense M, Denmark
Received:
15
April
1999
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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