LEADER 03541nmm a2200409 i 4500 001 991003324799707536 007 cr cn ---mpcbr 008 170207s2014 sz | o j |||| 0|eng d 020 $a9783319021539 (e-book) 024 7 $a10.1007/978-3-319-02153-9$2doi 035 $ab14316146-39ule_inst 040 $aBibl. Dip.le Aggr. Matematica e Fisica - Sez. Matematica$beng 082 04$a519.2$223 084 $aLC QA274-274.9 100 1 $aDawson, Donald A.$0478914 245 10$aSpatial Fleming-Viot Models with Selection and Mutation$h[e-book] /$cby Donald A. Dawson, Andreas Greven 260 $aCham :$bSpringer Intern. Publ.,$c2014 300 $a1 online resource (xvii, 856 p. 1 ill.) 336 $atext$btxt$2rdacontent 337 $acomputer$bc$2rdamedia 338 $aonline resource$bcr$2rdacarrier 347 $atext file$bPDF$2rda 490 1 $aLecture Notes in Mathematics,$x1617-9692 ;$v2092 505 0 $aIntroduction ; 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 [greater than or equal to] 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 520 $aThis book constructs a rigorous framework for analysing selected phenomena in evolutionary theory of populations arising due to the combined effects of migration, selection and mutation in a spatial stochastic population model, namely the evolution towards fitter and fitter types through punctuated equilibria. The discussion is based on a number of new methods, in particular multiple scale analysis, nonlinear Markov processes and their entrance laws, atomic measure-valued evolutions and new forms of duality (for state-dependent mutation and multitype selection) which are used to prove ergodic theorems in this context and are applicable for many other questions and renormalization analysis for a variety of phenomena (stasis, punctuated equilibrium, failure of naive branching approximations, biodiversity) which occur due to the combination of rare mutation, mutation, resampling, migration and selection and make it necessary to mathematically bridge the gap (in the limit) between time and space scales 650 0$aEvolution (Biology) 650 0$aDistribution (Probability theory) 700 1 $aGreven, Andreas$eauthor$4http://id.loc.gov/vocabulary/relators/aut$0524808 710 2 $aSpringerLink (Online service) 773 0 $aSpringer eBooks 776 08$aPrinted edition:$z9783319021522. 856 40$uhttp://link.springer.com/book/10.1007/978-3-319-02153-9$zAn electronic book accessible through the World Wide 907 $a.b14316146$b03-03-22$c07-02-17 912 $a991003324799707536 996 $aSpatial Fleming-Viot models with selection and mutation$9820721 997 $aUNISALENTO 998 $ale013$b07-02-17$cm$d@ $e-$feng$gsz $h0$i0