TY - JOUR

T1 - Analogues of the fundamental and secondary theorems of selection, assuming a log-normal distribution of expected fitness

AU - Morrissey, Michael B.

AU - Bonnet, Timothée

N1 - Publisher Copyright:
© 2019 The American Genetic Association . All rights reserved.

PY - 2019/7/1

Y1 - 2019/7/1

N2 - It is increasingly common for studies of evolution in natural populations to infer the quantitative genetic basis of fitness (e.g., the additive genetic variance for relative fitness), and of relationships between traits and fitness (e.g., the additive genetic covariance of traits with relative fitness). There is a certain amount of tension between the theory that justifies estimating these quantities, and methodological considerations relevant to their empirical estimation. In particular, the additive genetic variances and covariances involving relative fitness are justified by the fundamental and secondary theorems of selection, which pertain to relative fitness on the scale that it is expressed. However, naturally-occurring fitness distributions lend themselves to analysis with generalized linear mixed models (GLMMs), which conduct analysis on a different scale, typically on the scale of the logarithm of expected values, from which fitness is expressed. This note presents relations between evolutionary change in traits, and the rate of adaptation in fitness, and log quantitative genetic parameters of fitness, potentially reducing the discord between theoretical and methodological considerations to the operationalization of the secondary and fundamental theorems of selection.

AB - It is increasingly common for studies of evolution in natural populations to infer the quantitative genetic basis of fitness (e.g., the additive genetic variance for relative fitness), and of relationships between traits and fitness (e.g., the additive genetic covariance of traits with relative fitness). There is a certain amount of tension between the theory that justifies estimating these quantities, and methodological considerations relevant to their empirical estimation. In particular, the additive genetic variances and covariances involving relative fitness are justified by the fundamental and secondary theorems of selection, which pertain to relative fitness on the scale that it is expressed. However, naturally-occurring fitness distributions lend themselves to analysis with generalized linear mixed models (GLMMs), which conduct analysis on a different scale, typically on the scale of the logarithm of expected values, from which fitness is expressed. This note presents relations between evolutionary change in traits, and the rate of adaptation in fitness, and log quantitative genetic parameters of fitness, potentially reducing the discord between theoretical and methodological considerations to the operationalization of the secondary and fundamental theorems of selection.

KW - fitness

KW - fundamental theorem of selection

KW - generalised linear mixed model

KW - genetic variation

KW - natural selection

KW - secondary theorem of selection

UR - http://www.scopus.com/inward/record.url?scp=85068995801&partnerID=8YFLogxK

U2 - 10.1093/jhered/esz020

DO - 10.1093/jhered/esz020

M3 - Article

SN - 0022-1503

VL - 110

SP - 396

EP - 402

JO - Journal of Heredity

JF - Journal of Heredity

IS - 4

M1 - esz020

ER -