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Suppressors of selection.

Fernando Alcalde Cuesta1,2, Pablo González Sequeiros3,2, Álvaro Lozano Rojo4,5,2

  • 1Departamento de Matemáticas, Universidade de Santiago de Compostela, E-15782 Santiago de Compostela, Spain.

Plos One
|July 13, 2017
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Summary
This summary is machine-generated.

This study identifies specific undirected structures that suppress natural selection, reducing the fixation probability of advantageous mutants in evolutionary graph theory. These findings help in understanding robust populations less prone to invasion.

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Area of Science:

  • Evolutionary Graph Theory
  • Mathematical and Computational Biology

Background:

  • Evolutionary graph theory studies how population structure affects evolutionary dynamics.
  • Selection amplifiers increase fixation probability, while suppressors decrease it.

Purpose of the Study:

  • To identify and analyze undirected graph structures that act as suppressors of selection.
  • To investigate structures that reduce the fixation probability of advantageous mutants.

Main Methods:

  • Analytical derivation of fixation probabilities for small graphs (order 6, 8, 10).
  • Computer-aided techniques to find exact mathematical expressions.
  • Monte Carlo simulations for larger graphs and variants.

Main Results:

  • Demonstrated specific undirected structures as suppressors of selection for fitness r > 1.
  • Proved that average fixation probability is lower than in well-mixed populations.
  • Identified exact analytical expressions for fixation probabilities on small graphs.

Conclusions:

  • These suppressor structures offer insights into creating more invasion-resistant populations.
  • The findings contrast with known selection amplifiers, highlighting diverse roles of graph structures in evolution.