Fixation probabilities in evolutionary dynamics under weak selection.

  title={Fixation probabilities in evolutionary dynamics under weak selection.},
  author={Alex McAvoy and Benjamin Allen},
  journal={Journal of mathematical biology},
  volume={82 3},
In evolutionary dynamics, a key measure of a mutant trait's success is the probability that it takes over the population given some initial mutant-appearance distribution. This "fixation probability" is difficult to compute in general, as it depends on the mutation's effect on the organism as well as the population's spatial structure, mating patterns, and other factors. In this study, we consider weak selection, which means that the mutation's effect on the organism is small. We obtain a weak… 

Fixation probabilities in graph-structured populations under weak selection

This work derives an expression for the fixation probability, of a weakly-selected mutation, in terms of the time for two lineages to coalesce, and enables weak-selection fixation probabilities to be computed, for an arbitrary weighted graph, in polynomial time.

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Suppressors of fixation can increase average fitness beyond amplifiers of selection.

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The arrow of evolution when the offspring variance is large

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A theory of evolutionary dynamics on any complex spatial structure

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Evaluating the structure-coefficient theorem of evolutionary game theory.

  • Alex McAvoyJ. Wakeley
  • Economics
    Proceedings of the National Academy of Sciences of the United States of America
  • 2022
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The question of selective advantage in a general population is explored and it is shown that, although appropriate measures of fixation probability and gene frequency change are equivalent, they are not, in general, equivalent to the inclusive fitness effect.