Evolution in random fitness landscapes: the infinite sites model

  title={Evolution in random fitness landscapes: the infinite sites model},
  author={Su-Chan Park and Joachim H A Krug},
  journal={Journal of Statistical Mechanics: Theory and Experiment},
  • Su-Chan Park, J. Krug
  • Published 13 November 2007
  • Mathematics
  • Journal of Statistical Mechanics: Theory and Experiment
We consider the evolution of an asexually reproducing population in an uncorrelated random fitness landscape in the limit of infinite genome size, which implies that each mutation generates a new fitness value drawn from a probability distribution g(w). This is the finite population version of Kingman’s house of cards model (Kingman 1978 J. Appl. Probab. 15 1). In contrast to Kingman’s work, the focus here is on unbounded distributions g(w) which lead to an indefinite growth of the population… 
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