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To what extent does genealogical ancestry imply genetic ancestry?

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  • Matsen, Frederick A.
  • Evans, Steven N.

Abstract

Recent statistical and computational analyses have shown that a genealogical most recent common ancestor (MRCA) may have lived in the recent past [Chang, J.T., 1999. Recent common ancestors of all present-day individuals. Adv. Appl. Probab. 31, 1002–1026. 1027–1038; Rohde, D.L.T., Olson, S., Chang, J.T., 2004. Modelling the recent common ancestry of all living humans. Nature 431, 562–566]. However, coalescent-based approaches show that genetic most recent common ancestors for a given non-recombining locus are typically much more ancient [Kingman, J.F.C., 1982a. The coalescent. Stochastic Process Appl. 13, 235–248; Kingman, J.F.C., 1982b. On the geneology of large populations. J. Appl. Probab. 19A, 27–43]. It is not immediately clear how these two perspectives interact. This paper investigates relationships between the number of descendant alleles of an ancestor allele and the number of genealogical descendants of the individual who possessed that allele for a simple diploid genetic model extending the genealogical model of [Chang, J.T., 1999. Recent common ancestors of all present-day individuals. Adv. Appl. Probab. 31, 1002–1026. 1027–1038].

Suggested Citation

  • Matsen, Frederick A. & Evans, Steven N., 2008. "To what extent does genealogical ancestry imply genetic ancestry?," Theoretical Population Biology, Elsevier, vol. 74(2), pages 182-190.
    • Handle: RePEc:eee:thpobi:v:74:y:2008:i:2:p:182-190
    DOI: 10.1016/j.tpb.2008.06.003
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    References listed on IDEAS

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    1. Derrida, Bernard & Manrubia, Susanna C. & Zanette, Damián H., 2000. "Distribution of repetitions of ancestors in genealogical trees," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 281(1), pages 1-16.
    2. Mike Murphy, 2004. "Tracing very long-term kinship networks using SOCSIM," Demographic Research, Max Planck Institute for Demographic Research, Rostock, Germany, vol. 10(7), pages 171-196.
    3. Douglas L. T. Rohde & Steve Olson & Joseph T. Chang, 2004. "Modelling the recent common ancestry of all living humans," Nature, Nature, vol. 431(7008), pages 562-566, September.
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    Citations

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    Cited by:

    1. Severson, Alissa L. & Carmi, Shai & Rosenberg, Noah A., 2021. "Variance and limiting distribution of coalescence times in a diploid model of a consanguineous population," Theoretical Population Biology, Elsevier, vol. 139(C), pages 50-65.
    2. R. B. Campbell, 2009. "Time Since Common Pedigree Ancestors with Two Progeny per Individual," Mathematical Population Studies, Taylor & Francis Journals, vol. 16(4), pages 248-265.
    3. Blath, Jochen & Kadow, Stephan & Ortgiese, Marcel, 2014. "The largest strongly connected component in the cyclical pedigree model of Wakeley et al," Theoretical Population Biology, Elsevier, vol. 98(C), pages 28-37.
    4. Kelleher, J. & Etheridge, A.M. & Véber, A. & Barton, N.H., 2016. "Spread of pedigree versus genetic ancestry in spatially distributed populations," Theoretical Population Biology, Elsevier, vol. 108(C), pages 1-12.
    5. Gravel, Simon & Steel, Mike, 2015. "The existence and abundance of ghost ancestors in biparental populations," Theoretical Population Biology, Elsevier, vol. 101(C), pages 47-53.

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