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Evolution of recombination rates in a multi-locus, haploid-selection, symmetric-viability model

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  • Chasnov, J.R.
  • Ye, Felix Xiaofeng

Abstract

A fast algorithm for computing multi-locus recombination is extended to include a recombination-modifier locus. This algorithm and a linear stability analysis is used to investigate the evolution of recombination rates in a multi-locus, haploid-selection, symmetric-viability model for which stable equilibria have recently been determined. When the starting equilibrium is symmetric with two selected loci, we show analytically that modifier alleles that reduce recombination always invade. When the starting equilibrium is monomorphic, and there is a fixed nonzero recombination rate between the modifier locus and the selected loci, we determine analytical conditions for which a modifier allele can invade. In particular, we show that a gap exists between the recombination rates of modifiers that can invade and the recombination rate that specifies the lower stability boundary of the monomorphic equilibrium. A numerical investigation shows that a similar gap exists in a weakened form when the starting equilibrium is fully polymorphic but asymmetric.

Suggested Citation

  • Chasnov, J.R. & Ye, Felix Xiaofeng, 2013. "Evolution of recombination rates in a multi-locus, haploid-selection, symmetric-viability model," Theoretical Population Biology, Elsevier, vol. 83(C), pages 155-165.
    • Handle: RePEc:eee:thpobi:v:83:y:2013:i:c:p:155-165
    DOI: 10.1016/j.tpb.2012.10.002
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    References listed on IDEAS

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    1. Chasnov, J.R., 2012. "Equilibrium properties of a multi-locus, haploid-selection, symmetric-viability model," Theoretical Population Biology, Elsevier, vol. 81(2), pages 119-130.
    2. Chasnov, J.R., 2010. "A fast algorithm for computing multilocus recombination," Theoretical Population Biology, Elsevier, vol. 77(4), pages 270-278.
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    1. Chasnov, J.R., 2012. "Equilibrium properties of a multi-locus, haploid-selection, symmetric-viability model," Theoretical Population Biology, Elsevier, vol. 81(2), pages 119-130.
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