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Limiting Genotype Frequencies of Y-Linked Genes with a Mutant Allele in a Two-Sex Population

Author

Listed:
  • Miguel González

    (Department of Mathematics and ICCAEx, Faculty of Sciences, University of Extremadura, Avda. Elvas s/n, 06006 Badajoz, Spain
    These authors contributed equally to this work.)

  • Cristina Gutiérrez

    (Department of Mathematics and ICCAEx, Faculty of Business, Finance and Tourism, University of Extremadura, Avda. de la Universidad s/n, 10071 Cáceres, Spain
    These authors contributed equally to this work.)

  • Rodrigo Martínez

    (Department of Mathematics and ICCAEx, University Center of Plasencia, University of Extremadura, Avda. Virgen del Puerto 2, 10600 Plasencia, Spain
    These authors contributed equally to this work.)

Abstract

A two-type two-sex branching process is considered to model the evolution of the number of carriers of an allele and its mutations of a Y -linked gene. The limiting growth rates of the different types of couples and males (depending on the allele, mutated or not, that they carry on) on the set of coexistence of both alleles and on the fixation set of the mutant allele are obtained. In addition, the limiting genotype of the Y -linked gene and the limiting sex frequencies on those sets are established. Finally, the main results have been illustrated with simulated studies contextualized in problems of population genetics.

Suggested Citation

  • Miguel González & Cristina Gutiérrez & Rodrigo Martínez, 2021. "Limiting Genotype Frequencies of Y-Linked Genes with a Mutant Allele in a Two-Sex Population," Mathematics, MDPI, vol. 9(2), pages 1-19, January.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:2:p:131-:d:477377
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    References listed on IDEAS

    as
    1. Hush, Don & Scovel, Clint, 2005. "Concentration of the hypergeometric distribution," Statistics & Probability Letters, Elsevier, vol. 75(2), pages 127-132, November.
    2. Seth Blumberg & James O Lloyd-Smith, 2013. "Inference of R0 and Transmission Heterogeneity from the Size Distribution of Stuttering Chains," PLOS Computational Biology, Public Library of Science, vol. 9(5), pages 1-17, May.
    3. Moran Gershoni & Shmuel Pietrokovski, 2014. "Reduced selection and accumulation of deleterious mutations in genes exclusively expressed in men," Nature Communications, Nature, vol. 5(1), pages 1-10, December.
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