Spatial Fleming-Viot Models with Selection and Mutation

Andreas Greven

ISBN 10: 3319021524 / ISBN 13: 9783319021522

Published by Springer International Publishing, Springer International Publishing, 2013

About this Item

Druck auf Anfrage Neuware - Printed after ordering - 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 equilibria. The discussion is based on a number of new methods, in particular multiple scale analysis, nonlinear Markov processes and their entrance laws, atomic measure-valued evolutions and new forms of duality (for state-dependent mutation and multitype selection) which are used to prove ergodic theorems in this context and are applicable for many other questions and renormalization analysis for a variety of phenomena (stasis, punctuated equilibrium, failure of naive branching approximations, biodiversity) which occur due to the combination of rare mutation, mutation, resampling, migration and selection and make it necessary to mathematically bridge the gap (in the limit) between time and space scales.

Seller Inventory # 9783319021522

Bibliographic Details

• Title: Spatial Fleming-Viot Models with Selection and Mutation
• Publisher: Springer International Publishing, Springer International Publishing
• Publication Date: 2013
• Language: English
• ISBN 10: 3319021524
• ISBN 13: 9783319021522
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 235W x 155H x 47D millimeters 235 millimeters width by 155 millimeters height by 47 millimeters depth
• Weight: 1299 grams

About this title

Synopsis

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 equilibria. The discussion is based on a number of new methods, in particular multiple scale analysis, nonlinear Markov processes and their entrance laws, atomic measure-valued evolutions and new forms of duality (for state-dependent mutation and multitype selection) which are used to prove ergodic theorems in this context and are applicable for many other questions and renormalization analysis for a variety of phenomena (stasis, punctuated equilibrium, failure of naive branching approximations, biodiversity) which occur due to the combination of rare mutation, mutation, resampling, migration and selection and make it necessary to mathematically bridge the gap (in the limit) between time and space scales.