IDEAS home Printed from https://ideas.repec.org/a/eee/thpobi/v73y2008i4p529-542.html
   My bibliography  Save this article

Multilocus models in the infinite island model of population structure

Author

Listed:
  • Roze, Denis
  • Rousset, François

Abstract

Different methods have been developed to consider the effects of statistical associations among genes that arise in population genetics models: kin selection models deal with associations among genes present in different interacting individuals, while multilocus models deal with associations among genes at different loci. It was pointed out recently that these two types of models are very similar in essence. In this paper, we present a method to construct multilocus models in the infinite island model of population structure (where deme size may be arbitrarily small). This method allows one to compute recursions on allele frequencies, and different types of genetic associations (including associations between different individuals from the same deme), and incorporates selection. Recursions can be simplified using quasi-equilibrium approximations; however, we show that quasi-equilibrium calculations for associations that are different from zero under neutrality must include a term that has not been previously considered. The method is illustrated using simple examples.

Suggested Citation

  • Roze, Denis & Rousset, François, 2008. "Multilocus models in the infinite island model of population structure," Theoretical Population Biology, Elsevier, vol. 73(4), pages 529-542.
    • Handle: RePEc:eee:thpobi:v:73:y:2008:i:4:p:529-542
    DOI: 10.1016/j.tpb.2008.03.002
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0040580908000269
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.tpb.2008.03.002?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.

    Citations

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


    Cited by:

    1. Bürger, Reinhard, 2010. "Evolution and polymorphism in the multilocus Levene model with no or weak epistasis," Theoretical Population Biology, Elsevier, vol. 78(2), pages 123-138.
    2. Thomas W. Scott & Alan Grafen & Stuart A. West, 2022. "Multiple social encounters can eliminate Crozier’s paradox and stabilise genetic kin recognition," Nature Communications, Nature, vol. 13(1), pages 1-19, December.
    3. Van Cleve, Jeremy, 2015. "Social evolution and genetic interactions in the short and long term," Theoretical Population Biology, Elsevier, vol. 103(C), pages 2-26.
    4. Steiner, Ulrich K. & Tuljapurkar, Shripad, 2020. "Drivers of diversity in individual life courses: Sensitivity of the population entropy of a Markov chain," Theoretical Population Biology, Elsevier, vol. 133(C), pages 159-167.
    5. Lehmann, Laurent & Rousset, François, 2009. "Perturbation expansions of multilocus fixation probabilities for frequency-dependent selection with applications to the Hill–Robertson effect and to the joint evolution of helping and punishment," Theoretical Population Biology, Elsevier, vol. 76(1), pages 35-51.
    6. Rousset, François & Kirkpatrick, Mark & Guerrero, Rafael F., 2014. "Matrix inversions for chromosomal inversions: A method to construct summary statistics in complex coalescent models," Theoretical Population Biology, Elsevier, vol. 97(C), pages 1-10.

    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:73:y:2008:i:4:p:529-542. 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.

    We have no bibliographic references for this item. You can help adding them by using 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.