The fixation probability of a beneficial allele in a population dividing by binary fission

Genetica. 2002 Aug;115(3):283-7. doi: 10.1023/a:1020687416478.


We derive formulae for the fixation probability, P, of a rare benefical allele segregating in a population of fixed size which reproduces by binary fission, in terms of the selection coefficient for the beneficial allele, s. We find that an earlier result P approximately = 4s does not depend on the assumption of binary fission, but depends on an assumption about the ordering of events in the life cycle. We find that P approximately = 2s for mutations occurring during chromosome replication and P approximately = 2.8s for mutations occurring at random times between replication events.

Publication types

  • Research Support, Non-U.S. Gov't

MeSH terms

  • Alleles*
  • Animals
  • Cell Division
  • Chromosomes / genetics*
  • DNA Replication
  • Genetics, Population
  • Humans
  • Models, Biological*
  • Selection, Genetic