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Sex ratio evolution through group selection using diffusion approximation.

Josiane Courteau1, Sabin Lessard

  • 1Centre de recherche clinique, Centre hospitalier universitaire de Sherbrooke, Sherbrooke, Québec, Canada J1H 5N4. josiane.courteau@chus.qc.ca

Journal of Mathematical Biology
|March 3, 2004
PubMed
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This study finds that a female-biased sex ratio is optimal in populations with group competition. This sex allocation strategy ensures a specific allele is more frequent at equilibrium, promoting population survival.

Area of Science:

  • Evolutionary biology
  • Population genetics
  • Mathematical modeling

Background:

  • Understanding sex ratio evolution is crucial for reproductive success.
  • Group competition dynamics can influence evolutionary trajectories.
  • Previous models often simplified population structures and selection pressures.

Purpose of the Study:

  • To investigate the optimal sex ratio in a subdivided population with group competition.
  • To determine the evolutionary stability of different sex allocation strategies.
  • To analyze the impact of genetic drift and dispersal on sex ratio evolution.

Main Methods:

  • A diffusion approximation model was employed to analyze the population genetics.
  • The model incorporated recurrent mutation, random gamete union, and partial dispersal.

Related Experiment Videos

  • Group competition and genetic drift were integrated into the mathematical framework.

    • Main Results:

    • The stationary distribution of sex ratios was successfully deduced.
    • A female-biased sex ratio was identified as evolutionarily optimal under group selection.
    • An allele promoting a female-biased sex ratio showed higher equilibrium frequency.

    Conclusions:

    • Group competition favors a female-biased sex ratio for evolutionary stability.
    • The findings provide theoretical support for female-biased sex allocation in certain ecological contexts.
    • Numerical simulations validated the theoretical predictions regarding sex ratio evolution.