absolute fitness

Kim Y & Gulisija D 2010 Signatures of recent directional selection under different models of population expansion during colonization of new selective environments. Genetics 184:571-585.

  • the Wright-Fisher model, or other models of reproduction that require specifying the population size at a given time, is not convenient to be applied here
  • the growth of the derived population must be modeled separately
  • the growth rate of the population depends on the exact genetic composition of the population
  • the evolutionary dynamics of different alleles is specified by the absolute, rather than relative, fitness
  • let WX be the absolute fitness
  • the number of offspring in the next generation from each individual is Poisson distributed with parameter WX
  • N1 is the current size of pop1
  • K1 is the carrying capacity of pop1
  • at equilibrium, N1 will fluctuate around K1
  • with a large value of N1, the reproduction in this population should approach that of the Wright-Fisher model
  • the binomial distribution of offspring number in the latter model converges to a Poisson distribution
  • our model of reproduction is similar to the Wright-Fisher model with respect to the offspring distribution
  • we may apply the methods of coalescent approximation that were used in other studies under the Wright-Fisher model
  • the change in size of the derived population depends on its genetic composition
  • the Wright-Fisher model is not adequate
  • we therefore constructed a model in which each allele leaves descendants according to its absolute fitness