Number of adaptive steps to a local fitness peak

Details Number of adaptive steps to a local fitness peak Number of adaptive steps to a local fitness peak

2011-09-06

arxiv.org/abs/1109.1235v2

EPL 96, 58006 (2011)

Biology

Quantitative Biology

Populations and Evolution

Scientific paper

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.

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