The relation between reproductive value and genetic contribution

What determines the genetic contribution that an individual makes to future generations? With biparental reproduction, each individual leaves a "pedigree" of descendants, determined by the biparental relationships in the population. The pedigree of an individual constrains the lines of des...

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Main Authors: Barton, N, Etheridge, A
Format: Journal article
Language:English
Published: 2011
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author Barton, N
Etheridge, A
author_facet Barton, N
Etheridge, A
author_sort Barton, N
collection OXFORD
description What determines the genetic contribution that an individual makes to future generations? With biparental reproduction, each individual leaves a "pedigree" of descendants, determined by the biparental relationships in the population. The pedigree of an individual constrains the lines of descent of each of its genes. An individual's reproductive value is the expected number of copies of each of its genes that is passed on to distant generations conditional on its pedigree. For the simplest model of biparental reproduction (analogous to the Wright-Fisher model), an individual's reproductive value is determined within 10 generations, independent of population size. Partial selfing and subdivision do not greatly slow this convergence. Our central result is that the probability that a gene will survive is proportional to the reproductive value of the individual that carries it and that, conditional on survival, after a few tens of generations, the distribution of the number of surviving copies is the same for all individuals, whatever their reproductive value. These results can be generalized to the joint distribution of surviving blocks of the ancestral genome. Selection on unlinked loci in the genetic background may greatly increase the variance in reproductive value, but the above results nevertheless still hold. The almost linear relationship between survival probability and reproductive value also holds for weakly favored alleles. Thus, the influence of the complex pedigree of descendants on an individual's genetic contribution to the population can be summarized through a single number: its reproductive value. © 2011 by the Genetics Society of America.
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spelling oxford-uuid:a4409b12-9fcb-43a8-abf4-32eeb28346ab2022-03-27T02:32:34ZThe relation between reproductive value and genetic contributionJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:a4409b12-9fcb-43a8-abf4-32eeb28346abEnglishSymplectic Elements at Oxford2011Barton, NEtheridge, AWhat determines the genetic contribution that an individual makes to future generations? With biparental reproduction, each individual leaves a "pedigree" of descendants, determined by the biparental relationships in the population. The pedigree of an individual constrains the lines of descent of each of its genes. An individual's reproductive value is the expected number of copies of each of its genes that is passed on to distant generations conditional on its pedigree. For the simplest model of biparental reproduction (analogous to the Wright-Fisher model), an individual's reproductive value is determined within 10 generations, independent of population size. Partial selfing and subdivision do not greatly slow this convergence. Our central result is that the probability that a gene will survive is proportional to the reproductive value of the individual that carries it and that, conditional on survival, after a few tens of generations, the distribution of the number of surviving copies is the same for all individuals, whatever their reproductive value. These results can be generalized to the joint distribution of surviving blocks of the ancestral genome. Selection on unlinked loci in the genetic background may greatly increase the variance in reproductive value, but the above results nevertheless still hold. The almost linear relationship between survival probability and reproductive value also holds for weakly favored alleles. Thus, the influence of the complex pedigree of descendants on an individual's genetic contribution to the population can be summarized through a single number: its reproductive value. © 2011 by the Genetics Society of America.
spellingShingle Barton, N
Etheridge, A
The relation between reproductive value and genetic contribution
title The relation between reproductive value and genetic contribution
title_full The relation between reproductive value and genetic contribution
title_fullStr The relation between reproductive value and genetic contribution
title_full_unstemmed The relation between reproductive value and genetic contribution
title_short The relation between reproductive value and genetic contribution
title_sort relation between reproductive value and genetic contribution
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