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
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