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Evolution and Selection of Quantitative Traits$
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Bruce Walsh and Michael Lynch

Print publication date: 2018

Print ISBN-13: 9780198830870

Published to Oxford Scholarship Online: September 2018

DOI: 10.1093/oso/9780198830870.001.0001

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Long-term Response: 2. Finite Population Size and Mutation

Long-term Response: 2. Finite Population Size and Mutation

(p.953) 26 Long-term Response: 2. Finite Population Size and Mutation
Evolution and Selection of Quantitative Traits

Bruce Walsh

Michael Lynch

Oxford University Press

In a finite population, drift is often more important than selection in removing any initial additive variance. This chapter examines the joint impact of selection, drift, and mutation on the long-term response in a quantitative trait. One key result is the remarkable finding of Robertson that the expected long-term response from any initial additive variance is bounded above by the product of twice the effective population size times the initial response. This result implies that the optimal selection intensity for long-term response it to save half of the population in each generation.

Keywords:   asymptotic rate of response, effective population size under selection, effectively neutral alleles, incremental-mutation model, linkage drag, Robertson's theory of selection limits, Wright's shifting balance theory

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