From inclusive fitness to fixation probability in homogeneous structured populations.

J Theor Biol

Department of Mathematics and Statistics, Queen's University, Kingston, Ontario, Canada K7L 3N6.

Published: November 2007

AI Article Synopsis

  • The paper discusses how inclusive fitness methods analyze selection effects on social behavior, highlighting the importance of relatedness (R).
  • It explains that traditional calculations of relatedness, often based on genetic identity, can be applied to finite populations with a uniform structure, like an island model.
  • Finally, the authors show that when genetic effects are small and additive, their inclusive fitness formulation aligns with other key selection measures in finite populations, particularly regarding cooperation evolution.

Article Abstract

The methods of inclusive fitness provide a powerful analysis of the action of selection on social behaviour. The key component of this analysis is the concept of relatedness R. In infinite populations, a standard method of calculating relatedness coefficients is through coefficients of consanguinity using the notion of genetic identity by descent. In this paper, we show that this approach can also be made to work in finite populations and we assume here that the population has a homogeneous structure, such as an island model. We demonstrate that, under the assumption that genetic effects are small and additive, the resulting formulation of inclusive fitness is equivalent to other significant measures of selection in finite populations, including the change in average allele frequency and fixation probability. The results are illustrated for a model of the evolution of cooperation in a finite island population.

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Source
http://dx.doi.org/10.1016/j.jtbi.2007.07.006DOI Listing

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