The mathematical theory of selection, recombination, and mutation:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Chichester [u.a.]
Wiley
2000
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| Series: | Wiley series in mathematical and computational biology
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| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XI, 409 S. graph. Darst. |
| ISBN: | 0471986534 |
Staff View
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Record in the Search Index
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| adam_text | The Mathematical Theory of Selection,
Recombination, and Mutation
R Burger
University of Vienna, Austria
JOHN WILEY amp; SONS, LTD
Chichester • New York • Weinheim • Brisbane • Singapore • Toronto
Contents
Series Preface vii
Preface ix
I Elementary Population Genetics 1
1 Introduction 1
2 The Hardy-Weinberg Law 5
3 Correlation Between Relatives and Components of Variance 9
4 Nonrandom Mating 15
5 Random Genetic Drift 18
6 Mutation 20
7 Recombination 21
8 Population Growth 24
9 Selection at a Single Locus 29
10 The Continuous-Time Selection Model 38
II Selection at Two or More Loci 45
1 Two-Locus Two-Allele Models 46
2 The Multilocus Model 54
3 Components of Genetic Variance and Covariance 58
4 Marginal Systems and Equilibrium Properties 69
5 Evolution in the Absence of Epistasis 74
6 Evolution in Multilocus Systems 80
III Classical Mutation-Selection Models 95
1 Dynamics in Haploid Populations 96
2 Dynamics in Diploid Populations 99
3 Equilibrium Mean Fitness and Genetic Loads 105
4 The Stepwise-Mutation Model 112
IV Mutation-Selection Models for Quantitative Traits 117
1 The Continuum-of-Alleles Model 118
2 The General Model and Its Basic Properties 123
*3 A Rigorous Mathematical Treatment 131
*4 A Model in Terms of Probability Measures 136
5 Equilibrium Mean Fitness and Mutation Load 143
i
vi CONTENTS
V Dynamical Equations for Quantitative Traits under Selection 155
1 Preliminaries 157
2 Populations in Linkage Equilibrium 160
*3 Selection Response and Linkage Disequilibrium 166
*4 Recombination and Selection 178
5 Mutation 189
6 The Dynamics of Phenotypes 191
7 Summary 197
VI Stabilizing Selection and Genetic Variation in Large Populations 199
1 Analyses for a Single Locus 200
2 Two-Locus Models of Stabilizing Selection 203
3 Multilocus Models of Stabilizing Selection 216
4 Mutation-Selection Balance: Two Linked Diallelic Loci 225
5 Mutation-Selection Balance: Multiple Unlinked Diallelic Loci 229
6 Mutation-Selection Balance:
The Haploid Continuum-of-Alleles Model 232
7 Polygenic Traits under Mutation-Selection Balance 245
8 Summary and Conclusions 254
VII Quantitative Variation and Selection 257
1 A Review of Experimental Data and Results 258
2 A Single Trait under Mutation and Stabilizing Selection 268
3 Other Models of Direct Selection 282
4 Multivariate Stabilizing Selection and Pleiotropy 290
5 Deleterious Mutations and Evolution 298
6 Apparent Stabilizing Selection and Pleiotropy 308
7 Directional Selection 317
8 Conclusions 342
VIII Appendix 345
A Stability in Dynamical Systems 345
B Perron-Frobenius Theory of Nonnegative Matrices 352
G Spectral Theory of Nonnegative Integral Operators 354
D Multivariate Moments and Cumulants 357
E Miscellaneous Results for Finite Populations 362
References 369
Notation Index 389
Author Index 395
Subject Index 399
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| institution | BVB |
| isbn | 0471986534 |
| language | English |
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| physical | XI, 409 S. graph. Darst. |
| publishDate | 2000 |
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| spelling | Bürger, Reinhard Verfasser aut The mathematical theory of selection, recombination, and mutation R. Bürger Chichester [u.a.] Wiley 2000 XI, 409 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Wiley series in mathematical and computational biology Mathematisches Modell Population genetics Mathematical models Mathematisches Modell (DE-588)4114528-8 gnd rswk-swf Populationsgenetik (DE-588)4046804-5 gnd rswk-swf Populationsgenetik (DE-588)4046804-5 s Mathematisches Modell (DE-588)4114528-8 s DE-604 HEBIS Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009556421&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Bürger, Reinhard The mathematical theory of selection, recombination, and mutation Mathematisches Modell Population genetics Mathematical models Mathematisches Modell (DE-588)4114528-8 gnd Populationsgenetik (DE-588)4046804-5 gnd |
| subject_GND | (DE-588)4114528-8 (DE-588)4046804-5 |
| title | The mathematical theory of selection, recombination, and mutation |
| title_auth | The mathematical theory of selection, recombination, and mutation |
| title_exact_search | The mathematical theory of selection, recombination, and mutation |
| title_full | The mathematical theory of selection, recombination, and mutation R. Bürger |
| title_fullStr | The mathematical theory of selection, recombination, and mutation R. Bürger |
| title_full_unstemmed | The mathematical theory of selection, recombination, and mutation R. Bürger |
| title_short | The mathematical theory of selection, recombination, and mutation |
| title_sort | the mathematical theory of selection recombination and mutation |
| topic | Mathematisches Modell Population genetics Mathematical models Mathematisches Modell (DE-588)4114528-8 gnd Populationsgenetik (DE-588)4046804-5 gnd |
| topic_facet | Mathematisches Modell Population genetics Mathematical models Populationsgenetik |
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