The genetic structure of populations:
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| Format: | Buch |
| Sprache: | English French |
| Veröffentlicht: |
Berlin ; Heidelberg ; New York
Springer-Verlag
1974
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| Schriftenreihe: | Biomathematics
5 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | EST: Structures génétiques des populations (engl.) |
| Beschreibung: | XVIII, 569 Seiten Diagramme |
| ISBN: | 3540063293 0387063293 |
Internformat
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| 100 | 1 | |a Jacquard, Albert |d 1925-2013 |0 (DE-588)119177048 |4 aut | |
| 240 | 1 | 0 | |a Structures génétiques des populations |
| 245 | 1 | 0 | |a The genetic structure of populations |c Albert Jacquard |
| 264 | 1 | |a Berlin ; Heidelberg ; New York |b Springer-Verlag |c 1974 | |
| 300 | |a XVIII, 569 Seiten |b Diagramme | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Biomathematics |v 5 | |
| 500 | |a EST: Structures génétiques des populations (engl.) | ||
| 650 | 7 | |a Genetics |2 cabt | |
| 650 | 7 | |a Estatistica |2 larpcal | |
| 650 | 7 | |a Genetica |2 larpcal | |
| 650 | 4 | |a Génétique des populations | |
| 650 | 4 | |a Genetics, Population | |
| 650 | 4 | |a Population genetics | |
| 650 | 0 | 7 | |a Populationsgenetik |0 (DE-588)4046804-5 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Mathematisches Modell |0 (DE-588)4114528-8 |2 gnd |9 rswk-swf |
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| 830 | 0 | |a Biomathematics |v 5 |w (DE-604)BV000894631 |9 5 | |
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Datensatz im Suchindex
| _version_ | 1804116395499192320 |
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| adam_text | Table of Contents
Introduction 1
The Individual 1
The Population 2
General Bibliography 3
Parti
Basic Facts and Concepts
Chapter 1. The Foundations of Genetics 6
1. The Mendelian Theory of Inheritance 6
1.1. Mendel s First Law. The Law of Segregation 6
1.2. Mendel s Second Law. Independent Assortment 8
1.3. Restriction of Mendel s Second Law. Linkage 9
1.4. Some Definitions 11
2. The Physical Basis of Mendelian Inheritance. The Chromosomes 13
2.1. The Behaviour of the Chromosomes. Mitosis and Meiosis 13
2.2. Consequences of Chromosome Behaviour for Hereditary Transmission of
Characters 15
2.3. Linkage and Crossing Over 16
2.4. Human Chromosomes 17
2.5. The Sex Chromosomes 19
2.6. Chromosome Structure. DNA 20
2.7. Mutation 23
2.8. Individual Diversity 24
Chapter 2. Basic Concepts and Notation. Genetic Structure oi Populations and of
Individuals 25
1. Probability 25
1.1. Definition of Probability 26
1.2. Principle of Addition of Probabilities 27
1.3. Principle of Multiplication of Probabilities 27
1.4. Bayes Theorem 28
1.5. Random Variables 30
1.6. The Expectation and Variance of a Random Variable 30
1.7. Examples of Random Variables 31
2. Genetic Structures 33
2.1. The Definition of Genie and Genotypic Structures 33
2.2. The Relation between Genie and Genotypic Structures 34
2.3. The Probability Structures of Populations 35
2.4. Probability Structures of Individuals 36
XII Table of Contents
3. Sexual Reproduction 37
3.1. Genie Structures of Parents and Offspring 37
3.2. Genotypic Structure of Parents and Offspring 39
Part 2
A Reference Model: Absence of Evolutionary Factors
Chapter 3. The Hardy Weinberg Equilibrium for one Locos 42
1. Populations 42
2. The Hardy Weinberg Principle 43
2.1. Stability of the Genie Structure 43
2.2. Genotypic Structure 44
2.3. Panmixia and Perfect Panmixia 47
2.4. The Hardy Weinberg Principle 48
3. The Classical Treatment of the Hardy Weinberg Equilibrium 49
3.1. Establishment of the Equilibrium 50
3.2. Random Union of Gametes 52
3.3. Properties of the Hardy Weinberg Equilibrium 53
4. The Equilibrium for Sex Linked Genes 55
4.1. Passage from One Generation to the Next 55
4.2. The Equilibrium State 56
5. The Hardy Weinberg Principle in Human Populations 58
5.1. Autosomal Loci with Two Alleles 58
5.2. Autosomal Loci with Three Alleles 61
5.3. Sex Linked Genes 63
5.4. Y Linked Genes 65
Chapter 4. The Equilibrium for Two Loci 66
1. The Role of Individuals 66
2. Genie Structure 67
2.1. The Recurrence Relation for the Transition from One Generation to the
Next 68
2.2. The Constancy of Gene Frequencies 69
2.3. The Approach to Equilibrium 69
3. Genotypic Structure 70
4. Two Loci, Each with Two Alleles 71
4.1. Gamete Frequencies 71
4.2. Fusion of Two Populations 73
4.3. Instantaneous Attainment of Equilibrium 75
5. The Detection and Measurement of Linkage 77
5.1. Detection of Linkage Penrose s Method 77
5.2. Estimation of Recombination Fractions Morton s Method 80
5.3. Smith s Bayesian Method of Estimating Recombination Fractions . . 82
5.4. The Linkage Map of Man 85
Chapter 5. The Inheritance of Quantitative Characters 86
1. The Mean 87
1.1. Definiton of Additive Effects and Dominance Deviations 87
1.2. Determination of the Additive Effects and Dominance Deviations ... 89
Table of Contents XIII
1.3. The Effect of a Small Change in Gene Frequency 91
1.4. The Case of a Single Locus with Two Alleles 91
1.5. Characters Controlled by Several Loci 95
1.6. An Example of a Character Controlled by Several Genes: Skin Colour . 96
2. The Variance 98
2.1. Environmental Variance 98
2.2. Genotypic Variance 100
2.3. The Case of a Locus with Two Alleles 101
Chapter 6. Genetic Relationships between Relatives 102
1. The Measure of Relatedness 103
1.1. Identity by Descent 103
1.2. The Definition of Coefficients of Identity 104
1.3. The Calculation of Coefficients of Identity 109
1.4. Sex Linked Genes 114
2. The Genetic Structures of Related Individuals 116
2.1. The Relation between the Genie Structures of Related Individuals . . . 117
2.2. The Relation between the Genotypic Structures of Related Individuals . 120
2.3. The Relations between the Genie Structures of Inbred Individuals . . . 128
2.4. Other Points 129
3. Resemblance between Relatives 131
3.1. The Determination of the Covariance between Relatives 131
3.2. Some Particular Relationships 135
3.3. The Case of a Locus with Two Alleles 136
3.4. The Interpretation of Observed Correlations between Relatives 138
Chapter 7. Overlapping Generations 141
1. The Demographic Description of a Population 141
1.1. Demographic Parameters 142
1.2. The Future Demographic Structure of a Population 146
1.3. The Intrinsic Rate of Natural Increase 150
1.4. The Male Population 152
2. The Equilibrium Genetic Structure of a Population with Overlapping Genera¬
tions 153
2.1. Genie and Genotypic Structures of Populations with Overlapping Genera¬
tions 153
2.2. The Evolution of the Genetic Structure of a Population 155
2.3. The Evolution of the Genotypic Structure of a Population 157
2.4. Conclusions 158
Part 3
The Causes of Evolutionary Changes in Populations
Chapter 8. Finite Populations 160
1. Identity by Descent of Genes in Finite Populations 160
1.1. The Inbreeding Coefficient and Coefficient of Kinship of a Population . . 160
1.2. Increase of the Inbreeding Coefficient in a Finite Population 161
1.3. Constant Effective Population Size 163
1.4. Changing Effective Population Size 166
XIV Table of Contents
1.5. Relations between Relatives in a Finite Population 167
1.6. The Effect of Variance in Number of Offspring on the Effective Population
Size 171
1.7. The Effect of the Prohibition of Incest on Effective Population Size ... 175
1.8. Effective Population Size in Populations with Overlapping Generations . 178
2. Changes in the Genotypic Probability Structure 178
2.1. The Difference Equation for Genotypic Probability Structure 179
2.2. The Genotypic Probability Structure at Intermediate Stages 182
2.3. The Stages of Change in Genotypic Structure 183
2.4. Genetic Drift 184
2.5. The Disappearance of Heterozygotes 186
2.6. Sib Mating 188
2.7. Summary 190
3. The Transmission of Genes from One Generation to the Next 191
3.1. The Probability Distribution of the Number of Genes Transmitted ... 191
3.2. Changes in Gene Frequencies 192
3.3. Genetic Drift 193
3.4. The Rate of Attainment of Homozygosity 195
4. Matings between Relatives in a Finite Population 197
4.1. Matings between Sibs 197
4.2. Matings between First Cousins 198
4.3. The Role of the Variance in Number of Offspring 200
5. Observations on Human Populations 202
5.1. The Frequency of Consanguineous Marriages 202
5.2. Consanguineous Marriages in France 204
5.3. Consanguineous Marriages in Several Catholic Countries 208
5.4. Consanguineous Marriages in some Non Catholic Countries 210
5.5. Mating between Relatives in Populations with Overlapping Generations . 211
6. Subdivision of a Population 212
6.1. Changes in Gene Frequencies and Coefficients of Kinship 212
6.2. Effect of Limited Sample Sizes 215
6.3. Sampling Variance of a 216
6.4. The Effect of Relationship between Groups 218
Chapter 9. Deviations from Random Mating 220
1. Genotype Frequencies Among the Offspring of Consanguineous and Assorta
tive Matings 221
1.1. An Example of Non Independence between Mates 221
1.2. The Offspring of a Consanguineous Mating 223
1.3. The Biological Consequences of Consanguineous Mating 225
1.4. The Frequency of Consanguineous Marriages among the Parents of
Children Affected with Genetic Disorders 227
2. Choice of Mates Based on Relatedness 228
2.1. Sib Mating 229
2.2. Parent Offspring Mating 231
2.3. Half Sib Mating 232
2.4. Double First Cousin Mating 234
2.5. First Cousin Mating 236
2.6. Second Cousin Mating 240
2.7. Number of Ancestors and the Approach Towards Homozygosity . . . 242
2.8. Avoidance of or Preference for Certain Types of Marriage 243
Table of Contents XV
3. Assortative Mating 248
3.1. Total Positive Assortative Mating Based on Genotype 249
3.2. Partial Positive Assortative Mating Based on Genotype 249
3.3. Total Positive Assortative Mating Based on Phenotype 251
3.4. Partial Positive Assortative Mating Based on Phenotype 253
3.5. Total Negative Assortative Mating Based on Genotype 254
3.6. Partial Negative Assortative Mating Based on Genotype 257
3.7. Total Negative Assortative Mating Based on Phenotype 259
3.8. Partial Negative Assortative Mating Based on Phenotype 260
4. The Offspring of Consanguineous Marriages 261
4.1. The American Medical Association Study of 1856 262
4.2. The Study in Morbihan and Loir et Cher of 1952. Definition of Peri¬
natal Mortality Rate 263
4.3. The Study in the Vosges in 1968 265
4.4. The Study in Japan in 1958 60 266
4.5. Sex Linked Genes 267
4.6. Conclusions 267
Further Reading 268
Chapter 10. Selection 269
1. Some Simple Models of Selection 270
1.1. Definition of Selective Values 270
1.2. Change in Gene Frequencies 272
1.3. Loci with Two Alleles 273
1.4. Constant Selective Values 277
1.5. Some Particular Cases 278
1.6. Variable Selective Values 291
1.7. Constant Selection for a Sex Linked Gene 297
1.8. Selection in the Multi Locus Case 301
2. The Consequences of Selection for the Mean Fitness of Populations .... 301
2.1. Constant Selective Values 302
2.2. Variable Selective Values 306
3. Selection in Populations with Overlapping Generations 307
3.1. Demographic Parameters and Selective Differences 308
3.2. Some Examples of Selection in Human Populations 311
4. The Study of Selection in Human Populations 316
4.1. Difficulties in Detecting Selective Effects 316
4.2. Direct Evidence for Selective Differences Associated with Human Poly¬
morphisms . 318
4.3. Indirect Evidence for Selection 319
4.4. The Index of the Opportunity for Selection 321
Further Reading 330
Chapter 11. Mutation 331
1. The Probability of Survival of a Mutant Gene 331
1.1. Elimination of a Neutral Allele 332
1.2. Survival of a Neutral Mutant Gene in a Finite Population 334
1.3. The Probability that an Advantageous New Mutant Gene will be Main¬
tained in the Population 334
XVI Table of Contents
2. Recurrent Mutations 335
2.1. Change in Genie Structure due to Recurrent Mutation 336
2.2. The Case of a Locus with two Alleles 337
3. The Resultant Effect of Selection and Mutation at a Locus with Two Alleles . 339
3.1. The Equilibrium between Mutation and Selection 339
3.2. Constant Selective Values 340
4. The Human Mutation Rate 343
5. The Spread of a Mutation: Congenital Dislocation of the Hip 349
Further Reading 350
Chapter 12. Migration 351
1. Deterministic Models with Migration 351
1.1. Changes in Genie Structure 352
1.2. Changes in Genotypic Structure 355
1.3. Applications to Actual Populations 357
1.4. Deterministic Models of Migration when Other Forces for Change are
Acting 358
2. Stochastic Models with Migration 362
2.1. Migration 363
2.2. Stochastic Models of Migration with Other Evolutionary Forces also
Acting 371
2.3. Migration and Mutation in a Spatially Continuous Population .... 376
3. Data on Migration in Human Populations 381
3.1. Models of the Migration Process 381
3.2. Comparison of the Genetic Models with the Models of Migration . . . 384
4. Conclusions 385
Further Reading 386
Chapter 13. The Combined Effects of Different Evolutionary Forces 388
1. Wright s Model 389
1.1. Change in Gene Frequency from One Generation to the Next 389
1.2. The Fundamental Equation 391
1.3. The Asymptotic Probability Distribution 393
1.4. Some Further Results on Selection and Mutation in Finite Populations . 398
2. Simulation 400
2.1. The Principles of Monte Carlo Methods 401
2.2. The Use of Monte Carlo Methods 403
2.3. Simulation of the Genetic Structure of a Population 405
3. Maintenance of Polymorphisms. Genetic Load 406
3.1. The Equilibrium under Mutation and Selection 406
3.2. Maintenance of Variability by Neutral Mutation 408
3.3. Heterotic Equilibrium 409
3.4. The Genetic Load of a Locus 410
3.5. The Total Genetic Load 412
3.6. The Effect of Inbreeding on Selective Value 415
3.7. Conclusion: Neo Darwinian Versus Non Darwinian Evolution . . 417
Further Reading 418
Table of Contents XVII
Part 4
The Study of Human Population Structure
Chapter 14. Genetic Distance. I. Basic Concepts and Methods 420
1. The Idea of Distance 420
1.1. The Definition of Distance 422
1.2. Distance between Objects Characterised by Measurements 422
1.3. Distance between Objects Characterised by Qualitative Attributes .... 428
2. Distance between Individuals of Known Ancestry 433
2.1. Inadequacy of the Coefficient of Kinship 433
2.2. Genotypic Distance between Relatives 434
2.3. Other Measures of Distance between Relatives 444
3. Distances between Populations 449
3.1. Distance between the Genetic Structures of Populations 449
3.2. Distance between Populations of Known Ancestry 453
3.3. Biometrical Estimation of the Relatedness of Two Populations 456
3.4. Conclusion 461
Further Reading 462
Chapter 15. Genetic Distance, n. The Representation of Sets of Objects .... 463
1. Principal Components Analysis 465
1.1. The First Principal Axis 465
1.2. The First Principal Surface 470
1.3. Generalisation 473
1.4. Normalisation of Measures 475
1.5. Interpretation of the Projections Obtained. Representation of Characters 476
2. Principal Components Analysis of Contingency Tables 479
2.1. The z2Metric 480
2.2. The Projection of the Object Points Onto the Principal Plane 482
2.3. The Principal Plane of the Character Points 484
2.4. Interpretation of the Simultaneous Representation of Objects and Charac¬
ters 485
3. Cluster Analysis 487
3.1. Information and Variance 488
3.2. Aggregation of Two Objects 489
3.3. Interpretation of the Decrease in Variance: The Diameter of a Class . . 491
3.4. Phylogenetic Trees 492
Chapter 16. Some Studies of Human Populations 494
1. The Jicaque Indians of the Montana de la Flor, Honduras 495
1.1. History of the Group 495
1.2. Inbreeding among the Jicaque Indians 496
1.3. Changes in the Genetic Composition of the Group 499
2. The Bedik of Eastern Senegal 501
2.1. History and Ecology 501
2.2. Marriages among the Bedik 502
2.3. Haematological Characters—Distances between Villages 504
2.4. Representation of the Structure of the Population 506
XVIII Table of Contents
3. The Kel Kummer Tuareg of Mali 509
3.1. History, Ecology and Social Organisation 509
3.2. The Genealogy of the Kel Kummer People 511
3.3. Changes in the Genetic Make up of the Population 513
3.4. Haematological Studies of the Kel Kummer Population 518
4. Classification of Populations Using the HL A Systems 524
4.1. Data and Methods of Calculation 524
4.2. Results 525
Conclusion 530
Appendix A. Linear Difference Equations 533
1. Definitions 533
2. The Solution of Linear Difference Equations 534
2.1. The General Solution of a Homogeneous Equation of Order m 534
2.2. The General Solution of an Inhomogeneous Equation of Order m . . . 535
2.3. The Solution of the Homogeneous Equation of Order m, with Constant
Coefficients 535
2.4. The Renewal Equation of Order m 536
Appendix B. Some Definitions and Results in Matrix Algebra 538
1. Definitions 538
1.1. Types of Matrix 538
1.2. The Determinant of a Matrix 539
1.3. Matrix Addition and Multiplication 540
2. Diagonalisation of a Square Matrix 542
2.1. The Powers of a Matrix 542
2.2. The Eigenvalues of a Matrix 543
3. The Spectral Analysis of a Matrix 546
4. Real Symmetric Matrices 547
4.1. The Eigenvalues of a Real Symmetric Matrix are all Real 547
4.2. The Eigenvectors of a Real Symmetric Matrix Corresponding to Distinct
Eigenvalues are Orthogonal 548
5. Stochastic Matrices 549
5.1. The Eigenvalues of Stochastic Matrices 549
5.2. The Spectral Analysis of a Stochastic Matrix 551
References 553
Subject Index 561
|
| any_adam_object | 1 |
| author | Jacquard, Albert 1925-2013 |
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| ctrlnum | (OCoLC)997478 (DE-599)BVBBV001953803 |
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 575 - Specific parts of & systems in plants |
| dewey-raw | 575.1 |
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| discipline | Biologie Mathematik |
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| id | DE-604.BV001953803 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:37:50Z |
| institution | BVB |
| isbn | 3540063293 0387063293 |
| language | English French |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001273661 |
| oclc_num | 997478 |
| open_access_boolean | |
| owner | DE-703 DE-355 DE-BY-UBR DE-20 DE-19 DE-BY-UBM DE-29T DE-706 DE-634 DE-83 DE-11 DE-188 DE-N2 DE-91 DE-BY-TUM |
| owner_facet | DE-703 DE-355 DE-BY-UBR DE-20 DE-19 DE-BY-UBM DE-29T DE-706 DE-634 DE-83 DE-11 DE-188 DE-N2 DE-91 DE-BY-TUM |
| physical | XVIII, 569 Seiten Diagramme |
| publishDate | 1974 |
| publishDateSearch | 1974 |
| publishDateSort | 1974 |
| publisher | Springer-Verlag |
| record_format | marc |
| series | Biomathematics |
| series2 | Biomathematics |
| spelling | Jacquard, Albert 1925-2013 (DE-588)119177048 aut Structures génétiques des populations The genetic structure of populations Albert Jacquard Berlin ; Heidelberg ; New York Springer-Verlag 1974 XVIII, 569 Seiten Diagramme txt rdacontent n rdamedia nc rdacarrier Biomathematics 5 EST: Structures génétiques des populations (engl.) Genetics cabt Estatistica larpcal Genetica larpcal Génétique des populations Genetics, Population Population genetics Populationsgenetik (DE-588)4046804-5 gnd rswk-swf Mathematisches Modell (DE-588)4114528-8 gnd rswk-swf Populationsgenetik (DE-588)4046804-5 s Mathematisches Modell (DE-588)4114528-8 s DE-604 Erscheint auch als Online-Ausgabe 978-3-642-88415-3 Biomathematics 5 (DE-604)BV000894631 5 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001273661&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Jacquard, Albert 1925-2013 The genetic structure of populations Biomathematics Genetics cabt Estatistica larpcal Genetica larpcal Génétique des populations Genetics, Population Population genetics Populationsgenetik (DE-588)4046804-5 gnd Mathematisches Modell (DE-588)4114528-8 gnd |
| subject_GND | (DE-588)4046804-5 (DE-588)4114528-8 |
| title | The genetic structure of populations |
| title_alt | Structures génétiques des populations |
| title_auth | The genetic structure of populations |
| title_exact_search | The genetic structure of populations |
| title_full | The genetic structure of populations Albert Jacquard |
| title_fullStr | The genetic structure of populations Albert Jacquard |
| title_full_unstemmed | The genetic structure of populations Albert Jacquard |
| title_short | The genetic structure of populations |
| title_sort | the genetic structure of populations |
| topic | Genetics cabt Estatistica larpcal Genetica larpcal Génétique des populations Genetics, Population Population genetics Populationsgenetik (DE-588)4046804-5 gnd Mathematisches Modell (DE-588)4114528-8 gnd |
| topic_facet | Genetics Estatistica Genetica Génétique des populations Genetics, Population Population genetics Populationsgenetik Mathematisches Modell |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001273661&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000894631 |
| work_keys_str_mv | AT jacquardalbert structuresgenetiquesdespopulations AT jacquardalbert thegeneticstructureofpopulations |