2 Changes in Quantitative Traits Over Time

  • quantitative traits

  • variation: standinging within a population or divergence between species

  • breed improvement

  • quantitative genetics:

  • population genetics, statistical theory, mathematicl modeling, genetics, and genomics

  • long-term laboratory, shorter-term selection, human biology, wild populations

  • mating system: inbred vs outbred, asexual species

  • haploids, diploids, and polyploids

2.1 A brief history of the study of the evolution of quantitative traits

2.1.1 the fusion of population and quantitative genetics

  • biometricians vs Mendelians; rediscovery of Mendel in the early 1900s
  • Fleeming Jenkin: “blending inheritance”, segregating variance
  • Fisher 1918: expected resemblance between relatives; (additive-) genetic varaince components
  • Sewall Wright and J. B. S. Haldane
  • single-locus vs multiple-locus models of selection; Bulmer
  • infinitesimal model
  • Kimura: infinite-alleles model; diffusion approximations; neutral theory of molecular evolution
  • Kingman: coalescent

2.1.2 the ongoing fusion of molecular and quantitative genetics

  • the growing number of molecular-based markers; QTL mapping
  • linkage analysis; association mapping
  • missing heritability
  • Hill-Robertson effect

2.1.3 The common thread between breeding and evolution in natural populations

  • artificial selection (breeders) and nature evolution (evolutionary biologists)
  • Jay Lush: breeder’s equation, \(R=h^2S\); genetic correlation
  • Lande: multivariate extension of the breeder’s equation
  • Alan Robertson: slection response as the covariance between the breeding value and relative fitness, \(R=\sigma(A_z,w)\)
  • Fisher’s fundamental theorem of natural selection; Robertson’s secondary theorem
  • Price: a general covariance-based expression
  • Henderson: Best linear unbiased predictor (BLUP); Linear mixed model (LMM); Restricted maximum likelihood (REML)
  • marker-assisted selection (MAS); a few well-chosen markers (Lande and Thompson); genomic selection (Meuwissen)

2.1.4 Detecting selection in natural populations

2.2 The theoretical foundations of evolutionary biology

2.2.1 The completeness of evolutionary theory

2.2.2 Nonadaptive hypotheses and our understanding of evolution

2.3 Overview and pathways through this volume

2.3.1 Evolution at one and two loci

2.3.2 Drift and quantitative traits

2.3.3 Short-term response on a single character

2.3.4 Selection in Structured populations

2.3.5 Population-genetic models of trait response

2.3.6 Measuring selection on traits

2.3.7 Appendices

2.3.8 Volume 3

2.3.9 Notation