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Assessment of the Global Variance Effective Size of Subdivided Populations, and Its Relation to Other Effective Sizes
Stockholm University, Faculty of Science, Department of Mathematics.ORCID iD: 0000-0003-2767-8818
Stockholm University, Faculty of Science, Department of Zoology, Population Genetics.ORCID iD: 0000-0001-9286-3361
Stockholm University, Faculty of Science, Department of Zoology, Population Genetics.ORCID iD: 0000-0003-3342-8479
Number of Authors: 32023 (English)In: Acta Biotheoretica, ISSN 0001-5342, E-ISSN 1572-8358, Vol. 71, no 3, article id 19Article in journal (Refereed) Published
Abstract [en]

The variance effective population size (N-eV) is frequently used to quantify the expected rate at which a population's allele frequencies change over time. The purpose of this paper is to find expressions for the global N-eV of a spatially structured population that are of interest for conservation of species. Since N-eV depends on allele frequency change, we start by dividing the cause of allele frequency change into genetic drift within subpopulations (I) and a second component mainly due to migration between subpopulations (II). We investigate in detail how these two components depend on the way in which subpopulations are weighted as well as their dependence on parameters of the model such a migration rates, and local effective and census sizes. It is shown that under certain conditions the impact of II is eliminated, and N-eV of the metapopulation is maximized, when subpopulations are weighted proportionally to their long term reproductive contributions. This maximal N-eV is the sought for global effective size, since it approximates the gene diversity effective size N-eGD, a quantifier of the rate of loss of genetic diversity that is relevant for conservation of species and populations. We also propose two novel versions of N-eV, one of which (the backward version of N-eV) is most stable, exists for most populations, and is closer to N-eGD than the classical notion of N-eV. Expressions for the optimal length of the time interval for measuring genetic change are developed, that make it possible to estimate any version of N-eV with maximal accuracy.

Place, publisher, year, edition, pages
2023. Vol. 71, no 3, article id 19
Keywords [en]
Genetic diversity, Length of time interval, Matrix analytic recursions, Metapopulation, Migration-drift equilibrium, Perturbation theory of matrices, Variance effective size
National Category
Evolutionary Biology
Identifiers
URN: urn:nbn:se:su:diva-221119DOI: 10.1007/s10441-023-09470-wISI: 001032489500001PubMedID: 37458852Scopus ID: 2-s2.0-85158004417OAI: oai:DiVA.org:su-221119DiVA, id: diva2:1798466
Available from: 2023-09-19 Created: 2023-09-19 Last updated: 2023-09-19Bibliographically approved

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Hössjer, OlaLaikre, LindaRyman, Nils

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