Local fluctuations of genetic processes defined on two time scales, with applications to effective size estimation.

Local fluctuations of genetic processes defined on two time scales, with applications to effective size estimation.
Theor Popul Biol. 2019 Nov 25;:
Authors: Hössjer O, Tyvand PA
Abstract
In this paper we develop a general framework for how the genetic composition of a structured population with strong migration between its subunits, evolves over time. The dynamics is described in terms of a vector-valued Markov process of allele, genotype or haplotype frequencies that varies on two time scales. The more rapid changes are random fluctuations in terms of a multivariate autoregressive process, around a quasi equilibrium fix point, whereas the fix point itself varies more slowly according to a diffusion process, along a lower-dimensional subspace. Under mild regularity conditions, the fluctuations have a magnitude inversely proportional to the square root of the population size N, and hence can be used to estimate a broad class of genetically effective population sizes Ne, with genetic data from one time point only. In this way we are able to unify a number of existing notions of effective size, as well as proposing new ones, for instance one that quantifies the extent to which genotype frequencies fluctuate around Hardy-Weinberg equilibrium.
PMID: 31778709 [PubMed - as supplied by publisher]

Source: Theoretical Population Biology - November 24, 2019 Category: Biology Authors: Hössjer O, Tyvand PA Tags: Theor Popul Biol Source Type: research