Issue |
EPL
Volume 96, Number 5, December 2011
|
|
---|---|---|
Article Number | 58006 | |
Number of page(s) | 5 | |
Section | Interdisciplinary Physics and Related Areas of Science and Technology | |
DOI | https://doi.org/10.1209/0295-5075/96/58006 | |
Published online | 23 November 2011 |
Number of adaptive steps to a local fitness peak
Theoretical Sciences Unit and Evolutionary and Organismal Biology Unit, Jawaharlal Nehru Centre for Advanced Scientific Research - Jakkur P.O., Bangalore 560064, India
Received:
6
September
2011
Accepted:
19
October
2011
We consider a population of genotype sequences evolving on a rugged fitness landscape with many local fitness peaks. The population walks uphill until it encounters a local fitness maximum. We find that the statistical properties of the walk length depend on whether the underlying fitness distribution has a finite mean. If the mean is finite, all the walk length cumulants grow with the sequence length but approach a constant otherwise. Experimental implications of our analytical results are also discussed.
PACS: 87.23.-n – Ecology and evolution / 02.50.-r – Probability theory, stochastic processes, and statistics / 05.40.Fb – Random walks and Levy flights
© EPLA, 2011
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.