IDEAS home Printed from https://ideas.repec.org/a/eee/thpobi/v109y2016icp28-43.html
   My bibliography  Save this article

Clines with partial panmixia across a geographical barrier

Author

Listed:
  • Nagylaki, Thomas

Abstract

In geographically structured populations, partial global panmixia can be regarded as the limiting case of long-distance migration. In the presence of a geographical barrier, an exact, discrete model for the evolution of the gene frequencies at a multiallelic locus under viability selection, local adult migration, and partial panmixia is formulated. For slow evolution, from this model a spatially unidimensional continuous approximation (a system of integro-partial differential equations with discontinuities at the barrier) is derived. For (i)Â the step-environment, (ii)Â homogeneous, isotropic migration on the entire line, and (iii)Â two alleles without dominance, an explicit solution for the unique polymorphic equilibrium is found. In most natural limiting cases, asymptotic expressions are obtained for the gene frequencies on either side of the barrier.

Suggested Citation

  • Nagylaki, Thomas, 2016. "Clines with partial panmixia across a geographical barrier," Theoretical Population Biology, Elsevier, vol. 109(C), pages 28-43.
    • Handle: RePEc:eee:thpobi:v:109:y:2016:i:c:p:28-43
    DOI: 10.1016/j.tpb.2016.01.002
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0040580916000034
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.tpb.2016.01.002?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. Nagylaki, Thomas & Su, Linlin & Alevy, Ian & Dupont, Todd F., 2014. "Clines with partial panmixia in an environmental pocket," Theoretical Population Biology, Elsevier, vol. 95(C), pages 24-32.
    2. Nagylaki, Thomas, 2015. "Dying on the way: The influence of migrational mortality on clines," Theoretical Population Biology, Elsevier, vol. 101(C), pages 54-60.
    3. Nagylaki, Thomas, 2015. "Dying on the way: The influence of migrational mortality on neutral models of spatial variation," Theoretical Population Biology, Elsevier, vol. 99(C), pages 67-75.
    4. Nagylaki, Thomas, 2012. "Clines with partial panmixia," Theoretical Population Biology, Elsevier, vol. 81(1), pages 45-68.
    5. Nagylaki, Thomas & Zeng, Kai, 2014. "Clines with complete dominance and partial panmixia in an unbounded unidimensional habitat," Theoretical Population Biology, Elsevier, vol. 93(C), pages 63-74.
    6. Nagylaki, Thomas, 2012. "Clines with partial panmixia in an unbounded unidimensional habitat," Theoretical Population Biology, Elsevier, vol. 82(1), pages 22-28.
    7. Nagylaki, Thomas, 2011. "The influence of partial panmixia on neutral models of spatial variation," Theoretical Population Biology, Elsevier, vol. 79(1), pages 19-38.
    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. Forien, Raphaël, 2019. "Gene flow across geographical barriers — scaling limits of random walks with obstacles," Stochastic Processes and their Applications, Elsevier, vol. 129(10), pages 3748-3773.
    2. Nagylaki, Thomas & Zeng, Kai, 2016. "Clines with partial panmixia across a geographical barrier in an environmental pocket," Theoretical Population Biology, Elsevier, vol. 110(C), pages 1-11.
    3. Nagylaki, Thomas & Su, Linlin & Dupont, Todd F., 2019. "Uniqueness and multiplicity of clines in an environmental pocket," Theoretical Population Biology, Elsevier, vol. 130(C), pages 106-131.

    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. Nagylaki, Thomas & Su, Linlin & Dupont, Todd F., 2019. "Uniqueness and multiplicity of clines in an environmental pocket," Theoretical Population Biology, Elsevier, vol. 130(C), pages 106-131.
    2. Nagylaki, Thomas & Su, Linlin & Alevy, Ian & Dupont, Todd F., 2014. "Clines with partial panmixia in an environmental pocket," Theoretical Population Biology, Elsevier, vol. 95(C), pages 24-32.
    3. Nagylaki, Thomas, 2015. "Dying on the way: The influence of migrational mortality on clines," Theoretical Population Biology, Elsevier, vol. 101(C), pages 54-60.
    4. Nagylaki, Thomas & Zeng, Kai, 2014. "Clines with complete dominance and partial panmixia in an unbounded unidimensional habitat," Theoretical Population Biology, Elsevier, vol. 93(C), pages 63-74.
    5. Nagylaki, Thomas & Zeng, Kai, 2016. "Clines with partial panmixia across a geographical barrier in an environmental pocket," Theoretical Population Biology, Elsevier, vol. 110(C), pages 1-11.
    6. Geroldinger, Ludwig & Bürger, Reinhard, 2015. "Clines in quantitative traits: The role of migration patterns and selection scenarios," Theoretical Population Biology, Elsevier, vol. 99(C), pages 43-66.
    7. Nagylaki, Thomas, 2012. "Clines with partial panmixia in an unbounded unidimensional habitat," Theoretical Population Biology, Elsevier, vol. 82(1), pages 22-28.
    8. Forien, Raphaël, 2019. "Gene flow across geographical barriers — scaling limits of random walks with obstacles," Stochastic Processes and their Applications, Elsevier, vol. 129(10), pages 3748-3773.
    9. Nagylaki, Thomas, 2012. "Clines with partial panmixia," Theoretical Population Biology, Elsevier, vol. 81(1), pages 45-68.
    10. Nagylaki, Thomas, 2015. "Dying on the way: The influence of migrational mortality on neutral models of spatial variation," Theoretical Population Biology, Elsevier, vol. 99(C), pages 67-75.

    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:109:y:2016:i:c:p:28-43. 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.