Spatial Fleming-Viot Models with Selection and Mutation: 2092 (Lecture Notes in Mathematics, 2092) - Softcover

Dawson, Donald A.; Greven, Andreas

 
9783319021522: Spatial Fleming-Viot Models with Selection and Mutation: 2092 (Lecture Notes in Mathematics, 2092)
Softcover
ISBN 10: 3319021524 ISBN 13: 9783319021522
Publisher: Springer, 2013

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.

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From the Back Cover

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.

"About this title" may belong to another edition of this title.

Publisher
Springer
Publication date
2013
Language
English
ISBN 10 
3319021524
ISBN 13 
9783319021522
Binding
Paperback
Number of pages
873

Other Popular Editions of the Same Title

9783319021546: Spatial Fleming-Viot Models with Selection and Mutation

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ISBN 10:  3319021540 ISBN 13:  9783319021546
Publisher: Springer, 2013
Softcover