- Title Pages
- Dedication
- Preface
- I Introduction
- 1 Changes in Quantitative Traits Over Time
- II Evolution at One and Two Loci
- 2 Neutral Evolution in One- and Two-Locus Systems
- 3 The Genetic Effective Size of a Population
- 4 The Nonadaptive Forces of Evolution
- 5 The Population Genetics of Selection
- 6 Theorems of Natural Selection: Results of Price, Fisher, and Robertson
- 7 Interaction of Selection, Mutation, and Drift
- 8 Hitchhiking and Selective Sweeps
- 9 Using Molecular Data to Detect Selection: Signatures from Recent Single Events
- 10 Using Molecular Data to Detect Selection: Signatures from Multiple Historical Events
- III Drift and Quantitative Traits
- 11 Changes in Genetic Variation Induced by Drift
- 12 The Neutral Divergence of Quantitative Traits
- IV Short-Term Response on a Single Character
- 13 Short-term Changes in the Mean: 1. The Breeder’s Equation
- 14 Short-term Changes in the Mean: 2. Truncation and Threshold Selection
- 15 Short-term Changes in the Mean: 3. Permanent Versus Transient Response
- 16 Short-term Changes in the Variance: 1. Changes in the Additive Variance
- 17 Short-term Changes in the Variance: 2. Changes in the Environmental Variance
- 18 Analysis of Short-term Selection Experiments: 1. Least-squares Approaches
- 19 Analysis of Short-term Selection Experiments: 2. Mixed-model and Bayesian Approaches
- 20 Selection Response in Natural Populations
- V Selection in Structured Populations
- 21 Family-Based Selection
- 22 Associative Effects: Competition, Social Interactions, Group and Kin Selection
- 23 Selection Under Inbreeding
- VI Population-Genetic Models of Trait Response
- 24 The Infinitesimal Model and Its Extensions
- 25 Long-term Response: 1. Deterministic Aspects
- 26 Long-term Response: 2. Finite Population Size and Mutation
- 27 Long-term Response: 3. Adaptive Walks
- 28 Maintenance of Quantitative Genetic Variation
- VII Measuring Selection on Traits
- 29 Individual Fitness and the Measurement of Univariate Selection
- 30 Measuring Multivariate Selection
- Appendix 1 Diffusion Theory
- Appendix 2 Introduction to Bayesian Analysis
- Appendix 3 Markov Chain Monte Carlo and Gibbs Sampling
- Appendix 4 Multiple Comparisons: Bonferroni Corrections, False-discovery Rates, and Meta-analysis
- Appendix 5 The Geometry of Vectors and Matrices: Eigenvalues and Eigenvectors
- Appendix 6 Derivatives of Vectors and Vector-valued Functions
- Literature Cited
- Author Index
- Organism and Trait Index
- Subject Index

# Selection Under Inbreeding

# Selection Under Inbreeding

- Chapter:
- (p.825) 23 Selection Under Inbreeding
- Source:
- Evolution and Selection of Quantitative Traits
- Author(s):
### Bruce Walsh

### Michael Lynch

- Publisher:
- Oxford University Press

When dominance is presence, the selection response equations under inbreeding can become rather complex, they require additional variance components beyond the additive-genetic variance. Further, both transient and permanent components of response can arise. This chapter examines the theory of both the covariance of relatives under general inbreeding, as well as the expected selection response under inbreeding. Due to the decrease in the effective recombination rate under selfing, the Bulmer effect can be rather dramatic, as any linkage disequilibrium generated by selection is only weakly removed by recombination. Finally, this chapter also examines the evolutionary forces that interact to determine the selfing rate for a given population.

*Keywords:*
ancestral regressions, automatic selection, Baker's law, Bulmer effect, covariance between inbred relatives, directional dominance, evolution of selfing rates, inbreeding depression, Kelly's structured linear model, Lande-Schemske model, partial selfing, reproductive assurance, selfing, selfing as an evolutionary dead end hypothesis

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- Title Pages
- Dedication
- Preface
- I Introduction
- 1 Changes in Quantitative Traits Over Time
- II Evolution at One and Two Loci
- 2 Neutral Evolution in One- and Two-Locus Systems
- 3 The Genetic Effective Size of a Population
- 4 The Nonadaptive Forces of Evolution
- 5 The Population Genetics of Selection
- 6 Theorems of Natural Selection: Results of Price, Fisher, and Robertson
- 7 Interaction of Selection, Mutation, and Drift
- 8 Hitchhiking and Selective Sweeps
- 9 Using Molecular Data to Detect Selection: Signatures from Recent Single Events
- 10 Using Molecular Data to Detect Selection: Signatures from Multiple Historical Events
- III Drift and Quantitative Traits
- 11 Changes in Genetic Variation Induced by Drift
- 12 The Neutral Divergence of Quantitative Traits
- IV Short-Term Response on a Single Character
- 13 Short-term Changes in the Mean: 1. The Breeder’s Equation
- 14 Short-term Changes in the Mean: 2. Truncation and Threshold Selection
- 15 Short-term Changes in the Mean: 3. Permanent Versus Transient Response
- 16 Short-term Changes in the Variance: 1. Changes in the Additive Variance
- 17 Short-term Changes in the Variance: 2. Changes in the Environmental Variance
- 18 Analysis of Short-term Selection Experiments: 1. Least-squares Approaches
- 19 Analysis of Short-term Selection Experiments: 2. Mixed-model and Bayesian Approaches
- 20 Selection Response in Natural Populations
- V Selection in Structured Populations
- 21 Family-Based Selection
- 22 Associative Effects: Competition, Social Interactions, Group and Kin Selection
- 23 Selection Under Inbreeding
- VI Population-Genetic Models of Trait Response
- 24 The Infinitesimal Model and Its Extensions
- 25 Long-term Response: 1. Deterministic Aspects
- 26 Long-term Response: 2. Finite Population Size and Mutation
- 27 Long-term Response: 3. Adaptive Walks
- 28 Maintenance of Quantitative Genetic Variation
- VII Measuring Selection on Traits
- 29 Individual Fitness and the Measurement of Univariate Selection
- 30 Measuring Multivariate Selection
- Appendix 1 Diffusion Theory
- Appendix 2 Introduction to Bayesian Analysis
- Appendix 3 Markov Chain Monte Carlo and Gibbs Sampling
- Appendix 4 Multiple Comparisons: Bonferroni Corrections, False-discovery Rates, and Meta-analysis
- Appendix 5 The Geometry of Vectors and Matrices: Eigenvalues and Eigenvectors
- Appendix 6 Derivatives of Vectors and Vector-valued Functions
- Literature Cited
- Author Index
- Organism and Trait Index
- Subject Index