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Genetic drift in populations governed by a Galton–Watson branching process

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  • Burden, Conrad J.
  • Simon, Helmut

Abstract

Most population genetics studies have their origins in a Wright–Fisher or some closely related fixed-population model in which each individual randomly chooses its ancestor. Populations which vary in size with time are typically modelled via a coalescent derived from Wright–Fisher, but use a nonlinear time-scaling driven by a deterministically imposed population growth. An alternate, arguably more realistic approach, and one which we take here, is to allow the population size to vary stochastically via a Galton–Watson branching process.

Suggested Citation

  • Burden, Conrad J. & Simon, Helmut, 2016. "Genetic drift in populations governed by a Galton–Watson branching process," Theoretical Population Biology, Elsevier, vol. 109(C), pages 63-74.
    • Handle: RePEc:eee:thpobi:v:109:y:2016:i:c:p:63-74
    DOI: 10.1016/j.tpb.2016.03.002
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    References listed on IDEAS

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    1. repec:cai:popine:popu_p1979_34n1_0025 is not listed on IDEAS
    2. Cyran, Krzysztof A. & Kimmel, Marek, 2010. "Alternatives to the Wright–Fisher model: The robustness of mitochondrial Eve dating," Theoretical Population Biology, Elsevier, vol. 78(3), pages 165-172.
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    Cited by:

    1. Burden, Conrad J. & Soewongsono, Albert C., 2019. "Coalescence in the diffusion limit of a Bienaymé–Galton–Watson branching process," Theoretical Population Biology, Elsevier, vol. 130(C), pages 50-59.
    2. Burden, Conrad J. & Griffiths, Robert C., 2024. "Coalescence and sampling distributions for Feller diffusions," Theoretical Population Biology, Elsevier, vol. 155(C), pages 67-76.
    3. Burden, Conrad J. & Wei, Yi, 2018. "Mutation in populations governed by a Galton–Watson branching process," Theoretical Population Biology, Elsevier, vol. 120(C), pages 52-61.
    4. Burden, Conrad J. & Tang, Yurong, 2017. "Rate matrix estimation from site frequency data," Theoretical Population Biology, Elsevier, vol. 113(C), pages 23-33.

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    1. Burden, Conrad J. & Wei, Yi, 2018. "Mutation in populations governed by a Galton–Watson branching process," Theoretical Population Biology, Elsevier, vol. 120(C), pages 52-61.
    2. Burden, Conrad J. & Soewongsono, Albert C., 2019. "Coalescence in the diffusion limit of a Bienaymé–Galton–Watson branching process," Theoretical Population Biology, Elsevier, vol. 130(C), pages 50-59.

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