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The Wright-Fisher model with efficiency.

Adrián González Casanova1, Verónica Miró Pina2, Juan Carlos Pardo3

  • 1Instituto de Matemáticas de la Universidad Nacional Autónoma de México, Área de la Investigación Científica, Circuito Exterior, C.U., 04510 Coyoacán, CDMX, Mexico.

Theoretical Population Biology
|March 11, 2020
PubMed
Summary
This summary is machine-generated.

Inefficient individuals can surprisingly offer a selective advantage in evolving populations. Our Wright-Fisher model shows inefficiency can promote survival, not just represent a trade-off.

Keywords:
Ancestral selection graphDualityEfficiencyGeneralized Wright Fisher modelPopulation genetics

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Area of Science:

  • Population genetics
  • Mathematical biology
  • Evolutionary dynamics

Background:

  • The Wright-Fisher model is a cornerstone of population genetics.
  • Understanding the evolutionary role of resource utilization and growth rates is crucial.

Purpose of the Study:

  • To introduce and analyze a novel Wright-Fisher model incorporating inefficient and efficient individuals.
  • To investigate how inefficiency can act as a selective advantage.

Main Methods:

  • Development of a Wright-Fisher model with fixed total resources (N) and variable population size.
  • Analysis of the frequency process convergence to a generalized Wright-Fisher diffusion.
  • Characterization of the population's genealogy using the Ancestral Selection/Efficiency Graph.

Main Results:

  • The frequency of efficient individuals converges to a diffusion process as N increases.
  • The Ancestral Selection/Efficiency Graph extends existing models of population genealogy.
  • Inefficiency can emerge as a driver of selective advantage, challenging traditional trade-off paradigms.

Conclusions:

  • This model provides a new framework for studying evolutionary dynamics with varying resource efficiency.
  • The findings suggest that 'inefficiency' can be a beneficial evolutionary strategy under certain conditions.
  • The Ancestral Selection/Efficiency Graph offers a powerful tool for analyzing the evolutionary history of such populations.