Analysis of Random Processes of Isonymy: II. Dynamics of Population Divergence View Full Text


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Article Info

DATE

2021-11-18

AUTHORS

V. P. Passekov

ABSTRACT

Random dynamics of the surname composition of a population of finite size in discrete time with non-overlapping generations is considered. It is assumed that surnames are passed to descendants along patrilineal lines. The dynamics is analyzed over a short effective time interval t/NE(t), where NE(t) is average harmonic effective population size over t generations. Since in this case systematic pressures can be neglected, the surname microevolution approximately corresponds to the process of random genetic drift, synchronously proceeding in the same population with the intensity four times less than for the surnames. Similar to the genetic drift model, the surname composition of the next generation τ is a random sample of size Ne(τ)/2 composed of the surnames of the male component of parental population; i.e., the size is 4 times less than the sample of 2Ne(τ) gametes under genetic drift (Ne(τ) is the effective population size in generation τ). The dynamics of the probability of a random encounter of namesakes and the probability of random encounter of individuals with different surnames are studied. These probabilities are similar to the concentrations of homozygotes and heterozygotes, respectively, in the genetic structure analysis. The exact time dependences for the indicated probabilities, variances of the surname concentrations, and the surname analog of the inbreeding coefficient are presented. The approximation of exact dependences by simpler ones is given over short effective time t/NE(t), where the surname divergence is four times faster than the genetic divergence. The results do not imply the surname monophyly and they describe a speculative theoretical set of replica populations, as if having re-experienced the microevolutionary history of the population in question under the same conditions. The use of a time which is small compared to the population size is justified by recent emergence of the majority of surnames in Russia and by the fact that the elapsed time in generations is much smaller than typical population size. In real subdivided populations, estimation of the inbreeding coefficient based on the surname concentrations does not allow for distinguishing the situations of a mechanical mixture of subpopulations or their common origin. More... »

PAGES

1337-1347

Identifiers

URI

http://scigraph.springernature.com/pub.10.1134/s1022795421110119

DOI

http://dx.doi.org/10.1134/s1022795421110119

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1142678599


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