clonal interference

Yu F & Etheridge A 2010 The fixation probability of two competing beneficial mutations. Theor Popul Biol 78:36-45.

  • when s1 > s2, Barton (1995) shows that the probability of fixation of the allele carrying both beneficial mutations depends on just two parameters, the ratio s2 / s1 and the scaled recombination rate r / s1
  • for s2 > s1 this is most definitely not so
  • the quantity Nr plays a key role
  • in particular, population size matters
  • the data analysis of Bazin et al. (2006) provides considerable support for Gillespie’s genetic draft as a model of the evolution of mitochondrial DNA
  • Kim and Stephan (2003) extend the analysis in Gerrish and Lenski (1998) to a case where the loci are partially linked
  • they also performed extensive simulations in the presence of recombination and with multiple competing selected loci
  • Kim (2006) investigates the effect of recurrent strong directional selection at one locus on weak selection at another tightly (but not completely) linked locus, extending the work of Gillespie (2000)
  • the case s2 = s1 has been studied (using simulations) by Kim and Stephan (2003)
  • the assumption that breaks down in the derivation of Barton (1995) when s1 < s2 is that X10 simply grows logistically after the arrival of the second mutation
  • there is a complex (albeit almost deterministic) interplay between X10 and X01
  • if X11 = 0, then the rate of birth of a type 11 individual is exactly the same (2rNX01X10) for both the recombination and the gene conversion mechanisms