A solvable model of the evolutionary loop

Physics – Condensed Matter – Disordered Systems and Neural Networks

Scientific paper

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6 pages, EuroLaTeX, 1 figure

Scientific paper

10.1209/epl/i1998-00506-9

A model for the evolution of a finite population in a rugged fitness landscape is introduced and solved. The population is trapped in an evolutionary loop, alternating periods of stasis to periods in which it performs adaptive walks. The dependence of the average rarity of the population (a quantity related to the fitness of the most adapted individual) and of the duration of stases on population size and mutation rate is calculated.

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