Schneider, K: Maximization Principles in Models of Frequency
(Sprache: Englisch)
Population genetics is a branch of genetics concerned with the study of the genetic composition of natural populations. Genetic factors such as segregation, recombination, mutation, or mating structure as well as environmental or behavioral factors change...
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Population genetics is a branch of genetics concerned with the study of the genetic composition of natural populations. Genetic factors such as segregation, recombination, mutation, or mating structure as well as environmental or behavioral factors change the genetic composition of a population. By incorporating the fundamental rules of the underlying genetic structure and the environmental factors, population genetics seeks to clarify the mechanisms of evolution. Population genetics is tightly linked to both the theory of natural selection and the mechanisms of inheritance, which by most scientists were erroneously believed to be incompatible until the second decade of the twentieth century.We will draw our attention to models of frequency-dependent selection, a form of selection that occurs if the fi tness ('probability that an offspring survives until the age of reproduction') of a particular phenotype depends on the frequency of its own and other phenotypes in the population. In four chapters we encounter several aspects of models of frequencydependent selection, which subsume various biological situations. Especially, we will focus on establishing general principles that allow us to recognize evolution as a process of 'optimization'.
Inhaltsverzeichnis zu „Schneider, K: Maximization Principles in Models of Frequency “
-> Preface, Acknowledgements, Introduction-> 1 Optimization under Frequency-Dependent Selection: 1.1. Introduction1.2 Wildcard Model and Particular Cases1.2.1 The Wildcard Model1.2.2 Particular Cases1.2.2.1 Randompairwise contests1.2.2.2 Intraspecific Competition. The Bürger-Schneider model1.3 Optimization by frequency-dependent selection1.3.1 The Wild card Model1.3.2 Lyapunov Functions Previously Found in the Particular Cases1.3.2.1 The Lessard Model1.3.2.2 The Bürger-Schneider model1.3.3 An ancestor of the Lyapunov function of the Wildcard Model1.3.3.1 The Matessi-Jayakar model1.3.3.2 The Christiansen-Loeschcke model1.4 Multiple Loci1.4.1 The Multilocus Multiallele Framework1.4.2 The Density-Independent Model1.4.3 The Density-Dependent Model1.5 Discussion-> 2 Max. principles I: the one-locus two-allele case: 2.1 Introduction2.2 Preliminaries2.3 The Pairwise-Interaction Model2.3.1 The Symmetric Case2.3.2 The Asymmetric Case2.4 The PIMin continuous time2.5 Discussion, Appendix-> 3 Max. principles II: the one-locus multiallele case: 3.1 Introduction3.2 Preliminaries3.3 The PIMin discrete time3.3.1 The Pseudo-Symmetric Case3.3.2 The Asymmetric Case3.4 The D-PIMin continuous time3.4.1 The pseudo-symmetric case3.4.2 The asymmetric case3.5 Discussion, AppendixA, AppendixB-> 4 Long-term evolution: 4.1 Introduction4.2 Model description4.3 Assumptions and Preliminaries4.4 Main Results4.5 Numerical examples4.6 Multiple LTEs4.7 Discussion, Appendix A, Appendix B, Bibliography-> Bibliography
Bibliographische Angaben
- Autor: Kristan Schneider
- 184 Seiten, Maße: 21,5 x 25,1 cm, Gebunden, Englisch
- Verlag: Holzhausen Verlag GmbH
- ISBN-10: 3854931840
- ISBN-13: 9783854931843
- Erscheinungsdatum: 12.10.2011
Sprache:
Englisch
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