Evolutionary Theory Mathematical and Conceptual Foundations

ISBN-10: 0878937021
ISBN-13: 9780878937028
Edition: 2004
Authors: Sean H. Rice
List price: $49.95
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Description: This title covers all the major theoretical approaches used to study the mechanics of evolution, including classical one- and two-locus models, diffusion theory, coalescent theory, quantitative genetics, and game theory. There are also chapters on  More...

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Book details

List price: $49.95
Copyright year: 2004
Publisher: Sinauer Associates, Incorporated
Binding: Hardcover
Pages: 354
Size: 6.00" wide x 8.75" long x 0.75" tall
Weight: 1.342
Language: English

This title covers all the major theoretical approaches used to study the mechanics of evolution, including classical one- and two-locus models, diffusion theory, coalescent theory, quantitative genetics, and game theory. There are also chapters on the evolution of development and on multilevel selection.

Preface
Introduction
Selection on One Locus
Fitness
Fitness and Population Growth
Two Alleles with Viability Selection
Frequency-Independent Selection
Frequency-Dependent Selection
Continuous Time
Introducing Mutation
Mutational Load
The Evolution of Outcrossing
Multiple Alleles
Fertility Selection
Regression Interpretation
Additive Genetic Variance
Fitness Maximization, Optimization, and Potential Functions
Selection on Two Loci
No Selection
Gametic Disequilibrium
Introducing Selection
Evolution of Gametic Disequilibrium
Quasi-Gametic Equilibrium
Epistasis
Nomenclature of Epistasis
Additive Genetic Variance
Applications of Two-Locus Theory
Sexual Selection
Cultural Transmission
Meiotic Drive
Drift at Neutral Loci
Reproduction as Sampling
Drift as a Markov Process
Evolution as a Random Walk
Drift as Random Covariance
The Coalescent Process
Time to Coalescence
Drift and Neutral Variation
Gene Trees and Species Trees
Coalescence of Multiple Alleles
Distribution of Pairwise Allelic Differences
The Structured Coalescent
Finite Island Model with Symmetric Migration
Asymmetric Migration
Conservative Migration
Proportional Migration
Balancing Selection at a Linked Locus
The Coalescent versus Inbreeding Coefficients
Effective Population Size
Inbreeding Effective Population Size (N[superscript i subscript e])
Fluctuating Population Size
Breeding Sex Ratio
Variation in Family Size
Subdivided Population
Variance Effective Population Size (N[superscript v subscript e])
Separate Sexes
Ecology of Effective Population Size
Diffusion Theory: Combining Evolutionary Mechanisms
The Structure of Diffusion Theory
Assumptions of the Diffusion Approximation
The Kolmogorov Forward Equation
Geometry of Diffusion
The Equilibrium Distribution
Mutation and Drift
Selection and Drift
Heterozygote Advantage
Heterozygote Intermediate
Mutation, Selection, and Drift
Migration between Populations
Migration Maintaining Variation
Migration Opposing Selection
Probability of Fixation with Selection
The Kolmogorov Backward Equation
The Equilibrium Distribution
Probability of Fixation
Fixation of Deleterious Alleles
The Algebra of Evolution: Price's Theorem
Price's Theorem
Concepts Underlying Price's Theorem
A Note on Regressions and Covariances
Generalized Marginal Fitness
The Selection Differential
Directional and Stabilizing Selection
Relationship between Parents and Offspring
Breeder's Equation
Fisher's Fundamental Theorem
Generalized Drift
Putting It All Together
Quantitative Genetics
A Preliminary Warning about Terminology
Multivariate Normality
Selection on One Trait: The Breeder's Equation
Multivariate Evolution
Path Analysis
Sexual Selection
Parent-Offspring Covariance versus Additive Genetic Variance
Measuring Selection: The Multivariate Selection Differential
Maintenance of Genetic Variation
Diallelic Loci Model
Continuum of Alleles Model
Developmental Evolution
Phenotype Landscapes
Tensor Analysis
Moments
Selection on a Single Phenotypic Trait
The Meaning of Q Vectors
The General Equation
Selection on Higher Moments
Multiple Characters
Adaptive Phenotypic Plasticity
Evolution of the Reaction Norm Slope
Evolution of the Reaction Norm Curvature
Covariance between Traits
Uncurved Landscapes
Curved Landscapes
Parent-Offspring Covariance
Entangled Traits
Evolutionary Game Theory and Strategy Dynamics
An Early Example: Sex Ratio Evolution
Origins of Game Theory
A Two-Strategy Game
Mixed versus Pure Strategies
General Rules for Discrete Games
Nash Equilibrium
Evolutionarily Stable Strategy (ESS)
Game Geometry
Asymmetric Games
Cooperation and the Prisoner's Dilemma
Repeated Prisoner's Dilemma Game
Continuous Games and Adaptive Dynamics
Assumptions of Game Theory
Drift in Strategy Evolution
Multilevel Selection
Kin Selection
Two Levels with the Same Generation Time
A General Version of Hamilton's Inequality
Inclusive Fitness
Groups Persisting for a Few Individual Generations
Sex Ratio Evolution
Levels with Very Different Generation Times
Nonoverlapping Group Generations
Interactions between the Two Levels of Selection
Groups with Overlapping Generations
Properties Influencing the Efficacy of Multilevel Selection
Identifying the Units of Selection
Appendix A
Variances, Covariances, and Regressions
Path Analysis
Appendix B
Distributions and Moments
Binomial Distribution
Poisson Distribution
Normal Distribution
Moments
Moment Generating Functions
Appendix C
Calculus
Taylor Series
Differential Equations
Separable Equations
First Order Linear Equations
Appendix D
Vectors, Matrices, and Tensors
Tensors
Coordinate Systems
The Geometric Meaning of Inner Products
Bibliography
Index

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