Cover image for Genetic Structure and Selection in Subdivided Populations (MPB-40).
Genetic Structure and Selection in Subdivided Populations (MPB-40).
Title:
Genetic Structure and Selection in Subdivided Populations (MPB-40).
Author:
Rousset, François.
ISBN:
9781400847242
Personal Author:
Physical Description:
1 online resource (281 pages)
Series:
Monographs in Population Biology ; v.40

Monographs in Population Biology
Contents:
Cover -- Title -- Contents -- List of Figures and Tables -- Acknowledgments -- Preface -- What Is and Is Not There -- Assumed Background -- Of Gene and Fitness -- 1. Introduction -- Genetic Structure in Relation to Selection -- Plan of the Book -- 2. Selection and Drift -- Selection in Panmictic Populations -- Evolution in Spatially Structured Populations -- Selection and Local Drift -- Effective Size in Subdivided Populations -- Measuring Population Structure -- Genetic Identity -- Statistical Concepts of Equilibrium and Population -- Summary -- 3. Spatially Homogeneous Dispersal: The Island Model and Isolation by Distance -- Island Models -- Isolation by Distance -- Dispersal in Natural Populations -- The Lattice Models -- Differentiation under Isolation by Distance -- Summary -- Appendix 1: General Analysis of the Lattice Model -- Appendix 2: Miscellaneous Results -- Diversity in a Deme -- Average Diversity in a Population -- Differentiation under Low Dispersal -- 4. Interpretations of Inbreeding and Relatedness Coefficients in Subdivided Populations -- Probabilities of Coalescence in Migration Matrix Models -- Migration Matrix Models: Formulation -- Probabilities of Coalescence -- Interpretations of FST -- Coalescence before Dispersal -- Separation of Time Scales -- An Ancestral Reference Population? -- Differences between Distributions of Coalescence Times -- Properties of Inbreeding Coefficients -- Sensitivity to Mutation and to Past Demographic Events -- No Mutation -- Alternative Measures of Allelic Divergence -- 5. Evolutionary Dynamics -- Fitness in a Panmictic Population -- Example: Resource Competition -- Convergence Stability -- Evolutionary Stability -- Applicability of This Framework -- Fitness in a Subdivided Population -- Frequency Dependence in Subdivided Populations -- How to Measure Selection? -- Conclusion.

Appendix: The Prisoner's Dilemma Game -- Noniterated Game -- Iterated Game -- 6. Convergence Stability in a Spatially Homogeneous Population -- Weak Selection Effects on Probability of Fixation -- Fixation Probability as Allele Frequency Change -- Fitness Functions -- Fixation Probability: Direct Fitness Expansion -- Expression in Terms of Parameters of Population Structure -- Practical Computation of Convergence Stability -- Island Model -- Isolation by Distance -- Conclusions -- Direct Fitness Method -- Fitness Maximization -- 7. Inclusive Fitness, Cooperation, and Altruism -- What Inclusive Fitness Does Measure -- Inclusive and Direct Fitness -- Hamilton's Derivation of Inclusive Fitness -- Isolation by Distance -- Altruism in Spatially Subdivided Populations -- Cost, Benefit, and Relatedness -- Helping Neighbors -- Other Examples -- The Importance of Kin Competition -- Kin Recognition -- Implications for Modeling Approaches -- Inclusive Fitness Theory -- Other Frameworks -- Appendix: Helping Neighbors under Isolation by Distance -- 8. Diploidy (and Sex) -- Population Structure of Diploid Populations -- Analysis of Pollen and Seed Dispersal -- Joint Effects of Selfing and Selection on Population Structure -- Selection in Sexual Diploid Populations -- Parent and Offspring Control -- Dominance -- Highlights -- 9. Effective Size: Concepts and Applications to Stable Populations -- Defining Effective Size -- Application in Diffusion Approximations -- Computation of Effective Size of a Total Population -- Reproductive Value -- Deme Structure: The Strong Migration Limit -- Deme Structure: More Accurate Results -- Additional Factors -- Local Effective Size -- Concluding Remarks -- Appendix -- Dispersal and Class Transitions -- Strong Migration Limit -- 10. Fluctuating Demography: Neutral Models -- Effective Size of an Isolated Deme.

Defining Effective Size -- An Example -- Structured Populations -- A Metapopulation Model -- Propagule Models -- Inferences -- 11. Selection in Class-Structured Populations -- Fitness Measures -- Stable Demography -- Fluctuating Demography -- Fitness as Eigenvalue -- Diffusion Approximations -- Inferences -- 12. Overview and Perspectives -- Statistical Analyses of Genetic Structure -- All Those Data -- Estimation Methods -- Robustness -- Estimation of Effective Size -- Some Easy Improvements -- Prospects for the Analysis of Selection -- Current State of Theory -- Avenues for Simplifications -- Conclusion -- Appendix: Algorithms for Likelihood Estimation -- Appendix A. Mathematical Appendix -- Notation -- Matrix Algebra -- Eigenvalues and Eigenvectors -- Diagonalizable Matrices -- Generating Functions -- Computation of Identity in State -- Mutation Models -- Identity in the Different Mutation Models -- References -- Index.
Abstract:
Various approaches have been developed to evaluate the consequences of spatial structure on evolution in subdivided populations. This book is both a review and new synthesis of several of these approaches, based on the theory of spatial genetic structure. François Rousset examines Sewall Wright's methods of analysis based on F-statistics, effective size, and diffusion approximation; coalescent arguments; William Hamilton's inclusive fitness theory; and approaches rooted in game theory and adaptive dynamics. Setting these in a framework that reveals their common features, he demonstrates how efficient tools developed within one approach can be applied to the others. Rousset not only revisits classical models but also presents new analyses of more recent topics, such as effective size in metapopulations. The book, most of which does not require fluency in advanced mathematics, includes a self-contained exposition of less easily accessible results. It is intended for advanced graduate students and researchers in evolutionary ecology and population genetics, and will also interest applied mathematicians working in probability theory as well as statisticians.
Local Note:
Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2017. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
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