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Can one learn history from the allelic spectrum?

Author

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  • Myers, Simon
  • Fefferman, Charles
  • Patterson, Nick

Abstract

It is well known that the neutral allelic frequency spectrum of a population is affected by the history of population size. A number of authors have used this fact to infer history given observed allele frequency data. We ask whether perfect information concerning the spectrum allows precise recovery of the history, and with an explicit example show that the answer is in the negative. This implies some limitations on how informative allelic spectra can be.

Suggested Citation

  • Myers, Simon & Fefferman, Charles & Patterson, Nick, 2008. "Can one learn history from the allelic spectrum?," Theoretical Population Biology, Elsevier, vol. 73(3), pages 342-348.
    • Handle: RePEc:eee:thpobi:v:73:y:2008:i:3:p:342-348
    DOI: 10.1016/j.tpb.2008.01.001
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    Cited by:

    1. 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.
    2. Mikula, Lynette Caitlin & Vogl, Claus, 2024. "The expected sample allele frequencies from populations of changing size via orthogonal polynomials," Theoretical Population Biology, Elsevier, vol. 157(C), pages 55-85.
    3. Steinrücken, Matthias & Paul, Joshua S. & Song, Yun S., 2013. "A sequentially Markov conditional sampling distribution for structured populations with migration and recombination," Theoretical Population Biology, Elsevier, vol. 87(C), pages 51-61.
    4. Baharian, Soheil & Gravel, Simon, 2018. "On the decidability of population size histories from finite allele frequency spectra," Theoretical Population Biology, Elsevier, vol. 120(C), pages 42-51.
    5. Rafajlović, M. & Klassmann, A. & Eriksson, A. & Wiehe, T. & Mehlig, B., 2014. "Demography-adjusted tests of neutrality based on genome-wide SNP data," Theoretical Population Biology, Elsevier, vol. 95(C), pages 1-12.
    6. 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.
    7. Johndrow, James E. & Palacios, Julia A., 2019. "Exact limits of inference in coalescent models," Theoretical Population Biology, Elsevier, vol. 125(C), pages 75-93.
    8. Živković, Daniel & Stephan, Wolfgang, 2011. "Analytical results on the neutral non-equilibrium allele frequency spectrum based on diffusion theory," Theoretical Population Biology, Elsevier, vol. 79(4), pages 184-191.

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