Spatial Fleming-Viot models with selection and mutation /

Spatial Fleming-Viot models with selection and mutation /

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Bibliographic Details
Author / Creator:	Dawson, Donald A. (Donald Andrew), 1937- author.
Imprint:	Cham [Switzerland] : Springer, [2014] ©2014
Description:	1 online resource (xvii, 856 pages).
Language:	English
Series:	Lecture notes in mathematics, 1617-9692 ; 2092 Lecture notes in mathematics (Springer-Verlag) ; 2092.
Subject:	Population genetics -- Mathematical models. Punctuated equilibrium (Evolution) -- Mathematical models. Stochastic models. Markov processes. Markov processes. Population genetics -- Mathematical models. Stochastic models.
Format:	E-Resource Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/11082631

Hidden Bibliographic Details
Other authors / contributors:	Greven, Andreas, 1953- author.
ISBN:	9783319021539 3319021532 9783319021522 3319021524
Notes:	Includes bibliographical references (pages 847-851) and index. Online resource; title from PDF title page (SpringerLink, viewed Jan. 23, 2014).
Summary:	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.
Other form:	Print version: Dawson, Donald A. (Donald Andrew), 1937- Spatial Fleming-Viot models with selection and mutation. Cham [Switzerland] : Springer, [2014] 9783319021522
Standard no.:	10.1007/978-3-319-02153-9

Description
Summary:	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.
Physical Description:	1 online resource (xvii, 856 pages).
Bibliography:	Includes bibliographical references (pages 847-851) and index.
ISBN:	9783319021539 3319021532 9783319021522 3319021524
ISSN:	1617-9692 ;