Genetic contribution of an advantaged mutant in the biparental Moran model
Abstract
UDC 519.21
We consider a large population of haploid sexually reproducing individuals. It is assumed that one individual initially carries a very strongly advantageous mutation at a single locus. We study the long-term contribution of this initial individual to the genome of the population.
References
N. H. Barton, A. M. Etheridge, The relation between reproductive value and genetic contribution, Genetics, 188, № 4, 953–973 (2011). DOI: https://doi.org/10.1534/genetics.111.127555
J. T. Chang, Recent common ancestors of all present-day individuals, Adv. Appl. Probab., 31, № 4, 1002–1026 (1999). DOI: https://doi.org/10.1239/aap/1029955256
C. Coron, Y. Le Jan, Pedigree in the biparental Moran model, J. Math. Biol., 84, № 51 (2022). DOI: https://doi.org/10.1007/s00285-022-01752-0
B. Derrida, S. C. Manrubia, D. H. Zanette, On the genealogy of a population of biparental individuals, J. Theor. Biol., 203, № 3, 303–315 (2000). DOI: https://doi.org/10.1006/jtbi.2000.1095
A. Etheridge, R. Griffiths, A coalescent dual process in a Moran model with genic selection, Theor. Popul. Biol., 75, № 4, 320–330 (2009). DOI: https://doi.org/10.1016/j.tpb.2009.03.004
S. Gravel, M. Steel, The existence and abundance of ghost ancestors in biparental populations, Theor. Popul. Biol., 101, 47–53 (2015). DOI: https://doi.org/10.1016/j.tpb.2015.02.002
S. Kluth, E. Baake, The Moran model with selection: fixation probabilities, ancestral lines, and an alternative particle representation, Theor. Popul. Biol., 90, 09 (2013). DOI: https://doi.org/10.1016/j.tpb.2013.09.009
F. A. Matsen, S. A. Evans, To what extent does genealogical ancestry imply genetic ancestry?, Theor. Popul. Biol. (2008). DOI: https://doi.org/10.1016/j.tpb.2008.06.003
Copyright (c) 2023 Георгій Валентинович Рябов
This work is licensed under a Creative Commons Attribution 4.0 International License.