Evolutionary and convergence stability for continuous phenotypes in finite populations derived from two-allele models.

@article{Wakano2012EvolutionaryAC,
  title={Evolutionary and convergence stability for continuous phenotypes in finite populations derived from two-allele models.},
  author={Joe Yuichiro Wakano and Laurent Lehmann},
  journal={Journal of theoretical biology},
  year={2012},
  volume={310},
  pages={
          206-15
        }
}
The evolution of a quantitative phenotype is often envisioned as a trait substitution sequence where mutant alleles repeatedly replace resident ones. In infinite populations, the invasion fitness of a mutant in this two-allele representation of the evolutionary process is used to characterize features about long-term phenotypic evolution, such as singular points, convergence stability (established from first-order effects of selection), branching points, and evolutionary stability (established… CONTINUE READING
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The initial condition is chosen so that all individuals have z=0.1 at t=0. When we calculate the stationary distribution, we run simulation until t=T and the time-averaged frequencies over [T/2

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