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Can one hear the shape of a population history?

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  • Kim, Junhyong
  • Mossel, Elchanan
  • Rácz, Miklós Z.
  • Ross, Nathan

Abstract

Reconstructing past population size from present day genetic data is a major goal of population genetics. Recent empirical studies infer population size history using coalescent-based models applied to a small number of individuals. Here we provide tight bounds on the amount of exact coalescence time data needed to recover the population size history of a single, panmictic population at a certain level of accuracy. In practice, coalescence times are estimated from sequence data and so our lower bounds should be taken as rather conservative.

Suggested Citation

  • Kim, Junhyong & Mossel, Elchanan & Rácz, Miklós Z. & Ross, Nathan, 2015. "Can one hear the shape of a population history?," Theoretical Population Biology, Elsevier, vol. 100(C), pages 26-38.
    • Handle: RePEc:eee:thpobi:v:100:y:2015:i:c:p:26-38
    DOI: 10.1016/j.tpb.2014.12.002
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    Cited by:

    1. Johndrow, James E. & Palacios, Julia A., 2019. "Exact limits of inference in coalescent models," Theoretical Population Biology, Elsevier, vol. 125(C), pages 75-93.
    2. Legried, Brandon & Terhorst, Jonathan, 2022. "Rates of convergence in the two-island and isolation-with-migration models," Theoretical Population Biology, Elsevier, vol. 147(C), pages 16-27.

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