Spatial Fleming-Viot Models with Selection and Mutation

Nonfiction, Science & Nature, Mathematics, Statistics, Science, Biological Sciences, Evolution
Cover of the book Spatial Fleming-Viot Models with Selection and Mutation by Andreas Greven, Donald A. Dawson, Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Andreas Greven, Donald A. Dawson ISBN: 9783319021539
Publisher: Springer International Publishing Publication: December 12, 2013
Imprint: Springer Language: English
Author: Andreas Greven, Donald A. Dawson
ISBN: 9783319021539
Publisher: Springer International Publishing
Publication: December 12, 2013
Imprint: Springer
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Springer International Publishing

Cover of the book Managerial Issues in Finance and Banking by Andreas Greven, Donald A. Dawson
Cover of the book Airline Economics by Andreas Greven, Donald A. Dawson
Cover of the book Essentials of Menopause Management by Andreas Greven, Donald A. Dawson
Cover of the book Listeria monocytogenes in the Food Processing Environment by Andreas Greven, Donald A. Dawson
Cover of the book STEM and ICT Education in Intelligent Environments by Andreas Greven, Donald A. Dawson
Cover of the book Game Theory for Managing Security in Chemical Industrial Areas by Andreas Greven, Donald A. Dawson
Cover of the book International Politics and Inner Worlds by Andreas Greven, Donald A. Dawson
Cover of the book Voting Procedures for Electing a Single Candidate by Andreas Greven, Donald A. Dawson
Cover of the book War as Performance by Andreas Greven, Donald A. Dawson
Cover of the book Biomass and Green Chemistry by Andreas Greven, Donald A. Dawson
Cover of the book Integral and Discrete Inequalities and Their Applications by Andreas Greven, Donald A. Dawson
Cover of the book Subarachnoid Hemorrhage in Clinical Practice by Andreas Greven, Donald A. Dawson
Cover of the book Strategic Environmental Assessment: Integrating Landscape and Urban Planning by Andreas Greven, Donald A. Dawson
Cover of the book Theatricality and Performativity by Andreas Greven, Donald A. Dawson
Cover of the book Real-time Monitoring and Operational Control of Drinking-Water Systems by Andreas Greven, Donald A. Dawson
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy