Spatial Fleming-Viot Models with Selection and Mutation

• Κύριοι συγγραφείς: Dawson, Donald A. (Συγγραφέας), Greven, Andreas (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2014.
• Σειρά: Lecture Notes in Mathematics, 2092
• Θέματα: Mathematics.; Evolutionary biology.; Probabilities.; Probability Theory and Stochastic Processes.; Evolutionary Biology.

This book constructs a rigorous framework for analysing selected phenomena in evolutionary theory of populations arising due to the combined effects of migration, selection and mutation in a spatial stochastic population model, namely the evolution towards fitter and fitter types through punctuated...

Πίνακας περιεχομένων:

• Introduction
• Emergence and fixation in the F-W model with two types
• Formulation of the multitype and multiscale model
• Formulation of the main results in the general case
• A Basic Tool: Dual Representations
• Long-time behaviour: ergodicity and non-ergodicity
• Mean-field emergence and fixation of rare mutants (Phase 1,2)
• Methods and proofs for the F-W model with two types
• Emergence, fixation with M ≥ 2 lower order types
• Emergence, fixation: The general (M, M)-type mean-field model
• Neutral evolution on E1 after fixation (Phase 3)
• Re-equilibration on higher level E1 (Phase 4)
• Iteration of the cycle I: Emergence and fixation on E2
• Iteration of the cycle – the general multilevel hierarchy
• Winding-up: Proofs of the Theorems 3-11
• Appendix 1 – Tightness
• Appendix 2. Nonlinear semigroup perturbations
• References
• Index of Notation and Tables of Basic Objects
• Index.