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On the evolution of epistasis III: The haploid case with mutation

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  • Liberman, Uri
  • Feldman, Marcus

Abstract

Whether interaction between genes is better represented by synergistic or antagonistic epistasis has been a focus of experimental research in bacterial population genetics. Our previous research on evolution of modifiers of epistasis in diploid systems has indicated that the strength of positive or negative epistasis should increase provided linkage disequilibrium is maintained. Here we study a modifier of epistasis in fitness between two loci in a haploid system. Epistasis is modified in the neighborhood of a mutation–selection balance. We show that when linkage in the three-locus system is tight, an increase in the frequency of a modifier allele that induces either more negative or more positive epistasis is possible. Epistasis here can be measured on either an additive or multiplicative scale.

Suggested Citation

  • Liberman, Uri & Feldman, Marcus, 2008. "On the evolution of epistasis III: The haploid case with mutation," Theoretical Population Biology, Elsevier, vol. 73(2), pages 307-316.
    • Handle: RePEc:eee:thpobi:v:73:y:2008:i:2:p:307-316
    DOI: 10.1016/j.tpb.2007.11.010
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    References listed on IDEAS

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    1. Richard E. Lenski & Charles Ofria & Travis C. Collier & Christoph Adami, 1999. "Genome complexity, robustness and genetic interactions in digital organisms," Nature, Nature, vol. 400(6745), pages 661-664, August.
    2. Ricardo B. R. Azevedo & Rolf Lohaus & Suraj Srinivasan & Kristen K. Dang & Christina L. Burch, 2006. "Sexual reproduction selects for robustness and negative epistasis in artificial gene networks," Nature, Nature, vol. 440(7080), pages 87-90, March.
    3. Santiago F. Elena & Richard E. Lenski, 1997. "Test of synergistic interactions among deleterious mutations in bacteria," Nature, Nature, vol. 390(6658), pages 395-398, November.
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    Cited by:

    1. Manuel Beltrán Del Río & Christopher R. Stephens & David A. Rosenblueth, 2015. "Fitness Landscape Epistasis And Recombination," Advances in Complex Systems (ACS), World Scientific Publishing Co. Pte. Ltd., vol. 18(07n08), pages 1-38, November.

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