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Suppressors of selection

Author

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  • Fernando Alcalde Cuesta
  • Pablo González Sequeiros
  • Álvaro Lozano Rojo

Abstract

Inspired by recent works on evolutionary graph theory, an area of growing interest in mathematical and computational biology, we present examples of undirected structures acting as suppressors of selection for any fitness value r > 1. This means that the average fixation probability of an advantageous mutant or invader individual placed at some node is strictly less than that of this individual placed in a well-mixed population. This leads the way to study more robust structures less prone to invasion, contrary to what happens with the amplifiers of selection where the fixation probability is increased on average for advantageous invader individuals. A few families of amplifiers are known, although some effort was required to prove it. Here, we use computer aided techniques to find an exact analytical expression of the fixation probability for some graphs of small order (equal to 6, 8 and 10) proving that selection is effectively reduced for r > 1. Some numerical experiments using Monte Carlo methods are also performed for larger graphs and some variants.

Suggested Citation

  • Fernando Alcalde Cuesta & Pablo González Sequeiros & Álvaro Lozano Rojo, 2017. "Suppressors of selection," PLOS ONE, Public Library of Science, vol. 12(7), pages 1-11, July.
    • Handle: RePEc:plo:pone00:0180549
    DOI: 10.1371/journal.pone.0180549
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    References listed on IDEAS

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    1. Erez Lieberman & Christoph Hauert & Martin A. Nowak, 2005. "Evolutionary dynamics on graphs," Nature, Nature, vol. 433(7023), pages 312-316, January.
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    1. Fernando Alcalde Cuesta & Pablo González Sequeiros & Álvaro Lozano Rojo, 2018. "Evolutionary regime transitions in structured populations," PLOS ONE, Public Library of Science, vol. 13(11), pages 1-18, November.
    2. Benjamin Allen & Christine Sample & Patricia Steinhagen & Julia Shapiro & Matthew King & Timothy Hedspeth & Megan Goncalves, 2021. "Fixation probabilities in graph-structured populations under weak selection," PLOS Computational Biology, Public Library of Science, vol. 17(2), pages 1-25, February.
    3. Benjamin Allen & Christine Sample & Robert Jencks & James Withers & Patricia Steinhagen & Lori Brizuela & Joshua Kolodny & Darren Parke & Gabor Lippner & Yulia A Dementieva, 2020. "Transient amplifiers of selection and reducers of fixation for death-Birth updating on graphs," PLOS Computational Biology, Public Library of Science, vol. 16(1), pages 1-20, January.

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