IDEAS home Printed from https://ideas.repec.org/a/eee/thpobi/v108y2016icp1-12.html
   My bibliography  Save this article

Spread of pedigree versus genetic ancestry in spatially distributed populations

Author

Listed:
  • Kelleher, J.
  • Etheridge, A.M.
  • Véber, A.
  • Barton, N.H.

Abstract

Ancestral processes are fundamental to modern population genetics and spatial structure has been the subject of intense interest for many years. Despite this interest, almost nothing is known about the distribution of the locations of pedigree or genetic ancestors. Using both spatially continuous and stepping-stone models, we show that the distribution of pedigree ancestors approaches a travelling wave, for which we develop two alternative approximations. The speed and width of the wave are sensitive to the local details of the model. After a short time, genetic ancestors spread far more slowly than pedigree ancestors, ultimately diffusing out with radius ∼t rather than spreading at constant speed. In contrast to the wave of pedigree ancestors, the spread of genetic ancestry is insensitive to the local details of the models.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:thpobi:v:108:y:2016:i:c:p:1-12
    DOI: 10.1016/j.tpb.2015.10.008
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0040580915001094
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.tpb.2015.10.008?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. 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.
    2. Barton, N.H. & Etheridge, A.M. & Kelleher, J. & Véber, A., 2013. "Inference in two dimensions: Allele frequencies versus lengths of shared sequence blocks," Theoretical Population Biology, Elsevier, vol. 87(C), pages 105-119.
    3. Kelleher, J. & Etheridge, A.M. & Barton, N.H., 2014. "Coalescent simulation in continuous space: Algorithms for large neighbourhood size," Theoretical Population Biology, Elsevier, vol. 95(C), pages 13-23.
    4. 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.
    5. 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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Wilton, Peter R. & Baduel, Pierre & Landon, Matthieu M. & Wakeley, John, 2017. "Population structure and coalescence in pedigrees: Comparisons to the structured coalescent and a framework for inference," Theoretical Population Biology, Elsevier, vol. 115(C), pages 1-12.
    2. 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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    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. 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.
    3. Jerome Kelleher & Alison M Etheridge & Gilean McVean, 2016. "Efficient Coalescent Simulation and Genealogical Analysis for Large Sample Sizes," PLOS Computational Biology, Public Library of Science, vol. 12(5), pages 1-22, May.
    4. Kelleher, J. & Etheridge, A.M. & Barton, N.H., 2014. "Coalescent simulation in continuous space: Algorithms for large neighbourhood size," Theoretical Population Biology, Elsevier, vol. 95(C), pages 13-23.
    5. Sainudiin, Raazesh & Véber, Amandine, 2018. "Full likelihood inference from the site frequency spectrum based on the optimal tree resolution," Theoretical Population Biology, Elsevier, vol. 124(C), pages 1-15.
    6. Wilton, Peter R. & Baduel, Pierre & Landon, Matthieu M. & Wakeley, John, 2017. "Population structure and coalescence in pedigrees: Comparisons to the structured coalescent and a framework for inference," Theoretical Population Biology, Elsevier, vol. 115(C), pages 1-12.
    7. Guindon, Stéphane & Guo, Hongbin & Welch, David, 2016. "Demographic inference under the coalescent in a spatial continuum," Theoretical Population Biology, Elsevier, vol. 111(C), pages 43-50.
    8. 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.
    9. 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.
    10. 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.
    11. Jerome Kelleher & Kevin R Thornton & Jaime Ashander & Peter L Ralph, 2018. "Efficient pedigree recording for fast population genetics simulation," PLOS Computational Biology, Public Library of Science, vol. 14(11), pages 1-21, November.
    12. Heuer, Benjamin & Sturm, Anja, 2013. "On spatial coalescents with multiple mergers in two dimensions," Theoretical Population Biology, Elsevier, vol. 87(C), pages 90-104.
    13. Engen, Steinar & Sæther, Bernt-Erik, 2016. "Phenotypic evolution by distance in fluctuating environments: The contribution of dispersal, selection and random genetic drift," Theoretical Population Biology, Elsevier, vol. 109(C), pages 16-27.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:thpobi:v:108:y:2016:i:c:p:1-12. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: https://www.journals.elsevier.com/intelligence .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.