IDEAS home Printed from https://ideas.repec.org/a/eee/spapps/v128y2018i12p4018-4050.html
   My bibliography  Save this article

The fixation probability and time for a doubly beneficial mutant

Author

Listed:
  • Bossert, S.
  • Pfaffelhuber, P.

Abstract

For a highly beneficial mutant A entering a randomly reproducing population of constant size, we study the situation when a second beneficial mutant B arises before A has fixed. If the selection coefficient of B is greater than the selection coefficient of A, and if A and B can recombine at some rate ρ, there is a chance that the double beneficial mutant AB forms and eventually fixes. We give a convergence result for the fixation probability of AB and its fixation time for large selection coefficients.

Suggested Citation

  • Bossert, S. & Pfaffelhuber, P., 2018. "The fixation probability and time for a doubly beneficial mutant," Stochastic Processes and their Applications, Elsevier, vol. 128(12), pages 4018-4050.
  • Handle: RePEc:eee:spapps:v:128:y:2018:i:12:p:4018-4050
    DOI: 10.1016/j.spa.2018.01.004
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0304414918300048
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.spa.2018.01.004?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. Pokalyuk, Cornelia & Pfaffelhuber, Peter, 2013. "The ancestral selection graph under strong directional selection," Theoretical Population Biology, Elsevier, vol. 87(C), pages 25-33.
    2. Yu, Feng & Etheridge, Alison, 2010. "The fixation probability of two competing beneficial mutations," Theoretical Population Biology, Elsevier, vol. 78(1), pages 36-45.
    3. Mano, Shuhei, 2009. "Duality, ancestral and diffusion processes in models with selection," Theoretical Population Biology, Elsevier, vol. 75(2), pages 164-175.
    Full references (including those not matched with items on IDEAS)

    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. Cordero, Fernando, 2017. "Common ancestor type distribution: A Moran model and its deterministic limit," Stochastic Processes and their Applications, Elsevier, vol. 127(2), pages 590-621.
    2. Lenz, Ute & Kluth, Sandra & Baake, Ellen & Wakolbinger, Anton, 2015. "Looking down in the ancestral selection graph: A probabilistic approach to the common ancestor type distribution," Theoretical Population Biology, Elsevier, vol. 103(C), pages 27-37.
    3. Kluth, Sandra & Baake, Ellen, 2013. "The Moran model with selection: Fixation probabilities, ancestral lines, and an alternative particle representation," Theoretical Population Biology, Elsevier, vol. 90(C), pages 104-112.
    4. Wakeley, John & Sargsyan, Ori, 2009. "The conditional ancestral selection graph with strong balancing selection," Theoretical Population Biology, Elsevier, vol. 75(4), pages 355-364.
    5. González Casanova, Adrián & Miró Pina, Verónica & Pardo, Juan Carlos, 2020. "The Wright–Fisher model with efficiency," Theoretical Population Biology, Elsevier, vol. 132(C), pages 33-46.
    6. Pokalyuk, Cornelia & Wakolbinger, Anton, 2020. "Maintenance of diversity in a hierarchical host–parasite model with balancing selection and reinfection," Stochastic Processes and their Applications, Elsevier, vol. 130(2), pages 1119-1158.
    7. Kobayashi, Yutaka & Wakano, Joe Yuichiro & Ohtsuki, Hisashi, 2018. "Genealogies and ages of cultural traits: An application of the theory of duality to the research on cultural evolution," Theoretical Population Biology, Elsevier, vol. 123(C), pages 18-27.
    8. Etheridge, A.M. & Griffiths, R.C., 2009. "A coalescent dual process in a Moran model with genic selection," Theoretical Population Biology, Elsevier, vol. 75(4), pages 320-330.
    9. Pokalyuk, Cornelia & Pfaffelhuber, Peter, 2013. "The ancestral selection graph under strong directional selection," Theoretical Population Biology, Elsevier, vol. 87(C), pages 25-33.

    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:spapps:v:128:y:2018:i:12:p:4018-4050. 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: http://www.elsevier.com/wps/find/journaldescription.cws_home/505572/description#description .

    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.