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A nearly-neutral biallelic Moran model with biased mutation and linear and quadratic selection

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  • Vogl, Claus
  • Mikula, Lynette Caitlin

Abstract

In this article, a biallelic reversible mutation model with linear and quadratic selection is analysed. The approach reconnects to one proposed by Kimura (1979), who starts from a diffusion model and derives its equilibrium distribution up to a constant. We use a boundary-mutation Moran model, which approximates a general mutation model for small effective mutation rates, and derive its equilibrium distribution for polymorphic and monomorphic variants in small to moderately sized populations. Using this model, we show that biased mutation rates and linear selection alone can cause patterns of polymorphism within and substitution rates between populations that are usually ascribed to balancing or overdominant selection. We illustrate this using a data set of short introns and fourfold degenerate sites from Drosophila simulans and Drosophila melanogaster.

Suggested Citation

  • Vogl, Claus & Mikula, Lynette Caitlin, 2021. "A nearly-neutral biallelic Moran model with biased mutation and linear and quadratic selection," Theoretical Population Biology, Elsevier, vol. 139(C), pages 1-17.
    • Handle: RePEc:eee:thpobi:v:139:y:2021:i:c:p:1-17
    DOI: 10.1016/j.tpb.2021.03.003
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    References listed on IDEAS

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    1. Vogl, Claus, 2014. "Estimating the scaled mutation rate and mutation bias with site frequency data," Theoretical Population Biology, Elsevier, vol. 98(C), pages 19-27.
    2. Vogl, Claus & Bergman, Juraj, 2015. "Inference of directional selection and mutation parameters assuming equilibrium," Theoretical Population Biology, Elsevier, vol. 106(C), pages 71-82.
    3. Michael DeGiorgio & Kirk E Lohmueller & Rasmus Nielsen, 2014. "A Model-Based Approach for Identifying Signatures of Ancient Balancing Selection in Genetic Data," PLOS Genetics, Public Library of Science, vol. 10(8), pages 1-20, August.
    4. Vogl, Claus & Clemente, Florian, 2012. "The allele-frequency spectrum in a decoupled Moran model with mutation, drift, and directional selection, assuming small mutation rates," Theoretical Population Biology, Elsevier, vol. 81(3), pages 197-209.
    5. Nick G. C. Smith & Adam Eyre-Walker, 2002. "Adaptive protein evolution in Drosophila," Nature, Nature, vol. 415(6875), pages 1022-1024, February.
    6. Etheridge, A.M. & Griffiths, R.C., 2009. "A coalescent dual process in a Moran model with genic selection," Theoretical Population Biology, Elsevier, vol. 75(4), pages 320-330.
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