Number of adaptive steps to a local fitness peak

Kavita Jain

doi:10.1209/0295-5075/96/58006

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arXiv · 1109.1235

Number of adaptive steps to a local fitness peak

Kavita Jain

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Abstract

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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Kavita Jain. 2011-11-24. Number of adaptive steps to a local fitness peak. https://doi.org/10.1209/0295-5075%2F96%2F58006

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