Analysis of evolutionary processes: the adaptive dynamics approach and its applications
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Princeton, NJ [u.a.]
Princeton Univ. Press
2008
|
| Schriftenreihe: | Princeton series in theoretical and computational biology
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XV, 333 S. graph. Darst. |
| ISBN: | 9780691120065 |
Internformat
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Datensatz im Suchindex
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|---|---|
| adam_text | Contents
Preface xi
Chapter 1. Introduction to Evolutionary Processes 1
1.1 Origins of Evolutionary Theory 1
1.2 Genotypes and Phenotypes 5
1.3 Mutations 9
1.4 Selection 10
1.5 Evolution 13
1.6 The Red Queen Hypothesis 16
1.7 The Emergence of Diversity 17
1.8 Evolutionary Extinction 21
1.9 Examples 24
Chapter 2. Modeling Approaches 43
2.1 Overview 43
2.2 Population Genetics 47
2.3 Individual-based Evolutionary Models 53
2.4 Quantitative Genetics 55
2.5 Evolutionary Game Theory 59
2.6 Replicator Dynamics 62
2.7 Fitness Landscapes 64
2.8 Adaptive Dynamics 67
2.9 A Comparative Analysis 70
Chapter 3. The Canonical Equation of Adaptive Dynamics 74
3.1 The Evolving Community 74
3.2 The Resident-Mutant Model 76
3.3 The Example of Resource-Consumer Communities 79
3.4 Does Invasion Imply Substitution? 83
3.5 The AD Canonical Equation 88
3.6 Evolutionary State Portraits 95
3.7 Evolutionary Branching 99
3.8 The Role of Bifurcation Analysis 110
3.9 What Should We Expect from the AD Canonical Equation 116
Chapter 4. Evolutionary Branching and the Origin of Diversity 119
4.1 Introduction 119
4.2 A Market Model and Its AD Canonical Equation 121
Viii CONTENTS
4.3 A Simple Example of Technological Branching 129
4.4 Discussion and Conclusions 135
Chapter 5. Multiple Attractors and Cyclic Evolutionary Regimes 138
5.1 Introduction 138
5.2 A Model of Resource-Consumer Coevolution 139
5.3 The Catalog of Evolutionary Scenarios 144
5.4 Discussion and Conclusions 151
Chapter 6. Catastrophes of Evolutionary Regimes 153
6.1 Introduction 153
6.2 A Model for the Evolution of Cooperation 154
6.3 Catastrophic Disappearance of Evolutionary Attractors 159
6.4 Evolutionary Branching and the Origin of Cheaters 166
6.5 Discussion and Conclusions 169
Chapter 7. Branching-Extinction Evolutionary Cycles 172
7.1 Introduction 172
7.2 A Model of Cannibalistic Demographic Interactions 174
7.3 Coevolution of Dwarfs and Giants 177
7.4 The Branching-Extinction Evolutionary Cycle 182
7.5 Discussion and Conclusions 183
Chapter 8. Demographic Bistability and Evolutionary Reversals 186
8.1 Introduction 186
8.2 Biological Background 188
8.3 Asymmetric Competition and the Occurrence of Evolutionary Reversals 189
8.4 Slow-Fast Approximation of the AD Canonical Equation 195
8.5 Discussion and Conclusions 200
Chapter 9. Slow-Fast Populations Dynamics and Evolutionary Ridges 204
9.1 Introduction 204
9.2 Biological Background 207
9.3 The AD Canonical Equation for General Demographic Attractors 209
9.4 Evolutionary Sliding and Pseudo-equilibria 221
9.5 Results and Discussion 224
9.6 Concluding Remarks 229
Chapter 10. The First Example of Evolutionary Chaos 231
10.1 Introduction 231
10.2 A Tritrophic Food Chain Model and Its AD Canonical Equation 233
10.3 The Chaotic Evolutionary Attractor 235
10.4 Feigenbaum Cascade of Period-doubling Bifurcations 238
10.5 Discussion and Conclusions 241
Appendix A. Second-order Dynamical Systems and Their Bifurcations 243
A.I Dynamical Systems and State Portraits 243
A.2 Structural Stability 248
CONTENTS ix
A.3 Bifurcations as Collisions 250
A.4 Local Bifurcations 252
A.5 Global Bifurcations 259
A.6 Catastrophes, Hysteresis, and Cusp 261
A.7 Extinction Bifurcations 265
A.8 Numerical Methods and Software Packages 267
Appendix B. The Invasion Implies Substitution Theorem 272
Appendix C. The Probability of Escaping Accidental Extinction 277
Appendix D. The Branching Conditions 281
Bibliography 287
Index 325
|
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| illustrated | Illustrated |
| indexdate | 2024-07-09T22:36:12Z |
| institution | BVB |
| isbn | 9780691120065 |
| language | English |
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| physical | XV, 333 S. graph. Darst. |
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| publisher | Princeton Univ. Press |
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| series2 | Princeton series in theoretical and computational biology |
| spelling | Dercole, Fabio Verfasser (DE-588)135587360 aut Analysis of evolutionary processes the adaptive dynamics approach and its applications Fabio Dercole ; Sergio Rinaldi Princeton, NJ [u.a.] Princeton Univ. Press 2008 XV, 333 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Princeton series in theoretical and computational biology Evolution (DE-588)4071050-6 gnd rswk-swf Bioinformatik (DE-588)4611085-9 gnd rswk-swf Mathematisches Modell (DE-588)4114528-8 gnd rswk-swf Evolution (DE-588)4071050-6 s Mathematisches Modell (DE-588)4114528-8 s DE-604 Bioinformatik (DE-588)4611085-9 s Rinaldi, Sergio Verfasser aut HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020145678&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Dercole, Fabio Rinaldi, Sergio Analysis of evolutionary processes the adaptive dynamics approach and its applications Evolution (DE-588)4071050-6 gnd Bioinformatik (DE-588)4611085-9 gnd Mathematisches Modell (DE-588)4114528-8 gnd |
| subject_GND | (DE-588)4071050-6 (DE-588)4611085-9 (DE-588)4114528-8 |
| title | Analysis of evolutionary processes the adaptive dynamics approach and its applications |
| title_auth | Analysis of evolutionary processes the adaptive dynamics approach and its applications |
| title_exact_search | Analysis of evolutionary processes the adaptive dynamics approach and its applications |
| title_full | Analysis of evolutionary processes the adaptive dynamics approach and its applications Fabio Dercole ; Sergio Rinaldi |
| title_fullStr | Analysis of evolutionary processes the adaptive dynamics approach and its applications Fabio Dercole ; Sergio Rinaldi |
| title_full_unstemmed | Analysis of evolutionary processes the adaptive dynamics approach and its applications Fabio Dercole ; Sergio Rinaldi |
| title_short | Analysis of evolutionary processes |
| title_sort | analysis of evolutionary processes the adaptive dynamics approach and its applications |
| title_sub | the adaptive dynamics approach and its applications |
| topic | Evolution (DE-588)4071050-6 gnd Bioinformatik (DE-588)4611085-9 gnd Mathematisches Modell (DE-588)4114528-8 gnd |
| topic_facet | Evolution Bioinformatik Mathematisches Modell |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020145678&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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