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The Advantage of Arriving First: Characteristic Times in Finite Size Populations of Error-Prone Replicators

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  • Arturo Marín
  • Héctor Tejero
  • Juan Carlos Nuño
  • Francisco Montero

Abstract

We study the evolution of a finite size population formed by mutationally isolated lineages of error-prone replicators in a two-peak fitness landscape. Computer simulations are performed to gain a stochastic description of the system dynamics. More specifically, for different population sizes, we compute the probability of each lineage being selected in terms of their mutation rates and the amplification factors of the fittest phenotypes. We interpret the results as the compromise between the characteristic time a lineage takes to reach its fittest phenotype by crossing the neutral valley and the selective value of the sequences that form the lineages. A main conclusion is drawn: for finite population sizes, the survival probability of the lineage that arrives first to the fittest phenotype rises significantly.

Suggested Citation

  • Arturo Marín & Héctor Tejero & Juan Carlos Nuño & Francisco Montero, 2013. "The Advantage of Arriving First: Characteristic Times in Finite Size Populations of Error-Prone Replicators," PLOS ONE, Public Library of Science, vol. 8(12), pages 1-12, December.
    • Handle: RePEc:plo:pone00:0083142
    DOI: 10.1371/journal.pone.0083142
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    References listed on IDEAS

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    1. F. Taddei & M. Radman & J. Maynard-Smith & B. Toupance & P. H. Gouyon & B. Godelle, 1997. "Role of mutator alleles in adaptive evolution," Nature, Nature, vol. 387(6634), pages 700-702, June.
    2. Claus O. Wilke & Jia Lan Wang & Charles Ofria & Richard E. Lenski & Christoph Adami, 2001. "Evolution of digital organisms at high mutation rates leads to survival of the flattest," Nature, Nature, vol. 412(6844), pages 331-333, July.
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