Understanding Population Genetics

Author: Bengt Bengtsson   Torbjörn Säll  

Publisher: John Wiley & Sons Inc‎

Publication year: 2017

E-ISBN: 9781119124078

P-ISBN(Paperback): 9781119124030

Subject: Q3 Genetics

Language: ENG

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Description

Introduction: On the constancy of allele frequencies 1 Derivation 1 Balance between forward and backward mutation 7 Derivation 2 Heterozygote advantage 23 Derivation 3 Breakdown of linkage disequilibrium 45 Derivation 4 Time to coalescence 63 Derivation 5 The evolution of genetic diversity 85 Derivation 6 Fixation of mutations with and without selection 105 Derivation 7 Nonhomogeneous populations 131 Derivation 8 Cost and benefit of sib-interactions 151 Derivation 9 Selection on a quantitative trait 167 Derivation 10 Evolutionary genetic analysis of the sex ratio 187 What’s next? 205 Epilogue 215 Thanks 217 Glossary 219 Answers 233 References 257 Index 263

Chapter

Chapter 2 Heterozygote advantage

Analysis

Assumptions

Formulating the recursion system

Finding the equilibrium points to the system

Stability

Summing up

Interpretations, extensions and comments

Heterozygote advantage and disadvantage

Increase in mean fitness

Origin of the neutral theory of molecular evolution

Underlying assumptions in population genetics models

Chapter 3 Breakdown of linkage disequilibrium

Analysis

Assumptions, notations and definitions

The change in D between generations

Rate of change

Summing up

Interpretations, extensions and comments

The importance of linkage disequilibria

Recombination and sex

Summarizing population situations: H and D

Chapter 4 Time to coalescence

Analysis

Assumptions

Finding the formula for coalescence of two gene copies

The mean and the variance for the time to coalescence

The coalescence history of more than two gene copies

The coalescence tree and the length of its branches

Coalescence for haploid genetic material

Summing up

Interpretations, extensions and comments

New thinking within a classical framework

Coalescence, inbreeding and identity by descent

Wright–Fisher populations and effective population size

Binomial distribution

Geometric distribution

Normal distribution

Chapter 5 The evolution of genetic diversity

Analysis

Assumptions and definitions

Recursion with drift and mutation

Equilibrium state

The rate with which history is lost

Summing up

Interpretations, extensions and comments

Genetic variation, past demography and model assumptions

The infinite sites and other mutation models

Coalescence and mutations

Reconstructing phylogenies

Random processes produce discernible patterns

Two ways of analysing the same equation

Chapter 6 Fixation of mutations with and without selection

Analysis

Assumptions and notations

Strategy

Deriving the differential equation

Solving the equation

The fate of a new single mutation

Summing up

Interpretations, extensions and comments

Drift and selection

More on positive mutations going to fixation

The probability of fixation of different kinds of mutations

An alternative proof of the probability of fixation under neutrality

The rate of fixation of neutral mutations and evolutionary clocks

Recurrent mutations and near neutrality

Selective sweeps, the hitch‐hiking effect and background selection

Questions

Chapter 7 Nonhomogeneous populations

Analysis

Assumptions, notations and definitions

A reminder: expected heterozygosity

Genotype frequencies in the combined population

A special case: two alleles

Subdivision resembles inbreeding

Summing up

Interpretations, extensions and comments

Genes and balls, populations and urns

Population stratification and linkage disequilibria

Different models of geographic structuration

Additional measures to describe populations: F and FST

Why did he do it?

Chapter 8 Cost and benefit of sib‐interactions

Analysis

Assumptions

Finding a relevant recursion equation

Danger warning

Summing up

Interpretations, extensions and comments

Altruism and natural selection via individuals and groups

Frequency‐dependent selection and resource competition

Rare allele advantage due to infections and self‐incompatibility

Questions

Chapter 9 Selection on a quantitative trait

Analysis

Selection in quantitative genetics

Selection in population genetics – one more time

Notations and assumptions

Combining the tools

Summing up

Interpretations, extensions and comments

The genetic effect of selection on a quantitative trait

The limits of selection and the nature of

Threshold selection and disease liability

Quantitative genetics is not suited for causal analyses

Chapter 10 Evolutionary genetic analysis of the sex ratio

Analysis

Assumptions and notations

Finding the recursion equation system

Testing for stability

Summing up

Interpretations, extensions and comments

Sex ratio selection

An explanation of well‐delimited validity

Meiotic recombination is an evolved genetic system

Evolutionary genetic analysis

What’s next?

Estimates and tests in population genetics

The mutation–selection balance

Partial genetic isolation

Segregation distortion and genetic conflicts

Epilogue

Thanks

Glossary

Answers

References

Index

EULA

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