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Probabilistic Structures in Evolution

Baake, Ellen,

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Probabilistic Structures in Evolution

Record Type:	Electronic resources : Monograph/item
Title/Author:	Probabilistic Structures in Evolution/ Ellen Baake, Anton Wakolbinger
other author:	Baake, Ellen,
Published:	Zuerich, Switzerland :European Mathematical Society Publishing House, : 2021,
Description:	1 online resource (502 pages)
Subject:	Mathematics and science -
Online resource:	https://doi.org/10.4171/ECR/17
Online resource:	https://www.ems-ph.org/img/books/baake-wakolbinger_mini.jpg
ISBN:	9783985475056

Probabilistic Structures in Evolution
Probabilistic Structures in Evolution[electronic resource] /Ellen Baake, Anton Wakolbinger - Zuerich, Switzerland :European Mathematical Society Publishing House,2021 - 1 online resource (502 pages) - EMS Series of Congress Reports (ECR) ;172523-515X ;.

Accessibility percolation in random fitness landscapes /Joachim Krug --

Restricted to subscribers:https://www.ems-ph.org/ebooks.php

The present volume collects twenty-one survey articles about probabilistic aspects of biological evolution. They cover a large variety of topics from the research done within the German Priority Programme SPP 1590. Evolution is a complex phenomenon driven by various processes, such as mutation and recombination of genetic material, reproduction of individuals, and selection of favourable types. These processes all have intrinsically random elements, which give rise to a wealth of phenomena that cannot be explained by deterministic models. Examples of such effects are the loss of genetic variability due to random reproduction and the emergence of random genealogies. The collection is centred around the stochastic processes in population genetics and population dynamics. On the one hand, these are individual-based models of predator-prey and of coevolution type, of adaptive dynamics, or of experimental evolution, considered in the usual forward direction of time. They lead to processes describing the evolution of type frequencies, which may then be analysed via suitable limit theorems. On the other hand, one traces the ancestral lines of individuals back into the past; this leads to random genealogies. Beyond the classical concept of Kingman's coalescent, emphasis is on genealogies with multiple mergers and on ancestral structures that take into account selection, recombination, or migration. The contributions in this volume will be valuable to researchers interested in stochastic processes and their biological applications, or in mathematical population biology.

ISBN: 9783985475056

Standard No.: 10.4171/ECR/17doiSubjects--Topical Terms:

3481059
Mathematics and science

Probabilistic Structures in Evolution
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505 0 0 $t Accessibility percolation in random fitness landscapes / $r Joachim Krug -- $t Branching random walks in random environment / $r Wolfgang König -- $t Microbial populations under selection / $r Ellen Baake, Anton Wakolbinger -- $t The population genetics of the CRISPR-Cas system in bacteria / $r Rolf Backofen, Peter Pfaffelhuber -- $t Evolution of altruistic defence traits in structured populations / $r Martin Hutzenthaler, Dirk Metzler -- $t Stochastic processes and host-parasite coevolution: Linking coevolutionary dynamics and DNA polymorphism data / $r Wolfgang Stephan, Aurélien Tellier -- $t Stochastic models for adaptive dynamics: Scaling limits and diversity / $r Anton Bovier -- $t Genealogies and inference for populations with highly skewed offspring distributions / $r Matthias Birkner, Jochen Blath -- $t Multiple-merger genealogies: Models, consequences, inference / $r Fabian Freund -- $t Diploid populations and their genealogies / $r Anja Sturm -- $t Probabilistic aspects of Λ-coalescents in equilibrium and in evolution / $r Götz Kersting, Anton Wakolbinger -- $t Population genetic models of dormancy / $r Jochen Blath, Noemi Kurt -- $t From high to low volatility: Spatial Cannings with block resampling and spatial Fleming-Viot with seed-bank / $r Andreas Greven, Frank den Hollander -- $t Ancestral lineages in spatial population models with local regulation / $r Matthias Birkner, Nina Gantert -- $t The symbiotic branching model: Duality and interfaces / $r Jochen Blath, Marcel Ortgiese -- $t Multitype branching models with state-dependent mutation and competition in the context of phylodynamic patterns / $r Anja Sturm, Anita Winter -- $t Ancestral lines under recombination / $r Ellen Baake, Michael Baake -- $t Towards more realistic models of genomes in populations: The Markov-modulated sequentially Markov coalescent / $r Julien Y. Dutheil -- $t Diffusion limits of genealogies under various modes of selection / $r Martin Hutzenthaler, Peter Pfaffelhuber -- $t Counting, grafting and evolving binary trees / $r Thomas Wiehe -- $t Algebraic measure trees: Statistics based on sample subtree shapes and sample subtree masses / $r Anita Winter.
506 1 $a Restricted to subscribers: $u https://www.ems-ph.org/ebooks.php
520 $a The present volume collects twenty-one survey articles about probabilistic aspects of biological evolution. They cover a large variety of topics from the research done within the German Priority Programme SPP 1590. Evolution is a complex phenomenon driven by various processes, such as mutation and recombination of genetic material, reproduction of individuals, and selection of favourable types. These processes all have intrinsically random elements, which give rise to a wealth of phenomena that cannot be explained by deterministic models. Examples of such effects are the loss of genetic variability due to random reproduction and the emergence of random genealogies. The collection is centred around the stochastic processes in population genetics and population dynamics. On the one hand, these are individual-based models of predator-prey and of coevolution type, of adaptive dynamics, or of experimental evolution, considered in the usual forward direction of time. They lead to processes describing the evolution of type frequencies, which may then be analysed via suitable limit theorems. On the other hand, one traces the ancestral lines of individuals back into the past; this leads to random genealogies. Beyond the classical concept of Kingman's coalescent, emphasis is on genealogies with multiple mergers and on ancestral structures that take into account selection, recombination, or migration. The contributions in this volume will be valuable to researchers interested in stochastic processes and their biological applications, or in mathematical population biology.
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700 1 $a Wakolbinger, Anton, $e editor. $3 3481214
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