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Probabilistic Models of Population Evolution; Scaling Limits, Genealogies and Interactions

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This expository book presents the mathematical description of evolutionary models of populations subject to interactions (e.g. competition) within the population. The author includes both models of finite populations, and limiting models as the size of the population tends to infinity. The size of the population is described as a random function of time and of the initial population (the ancestors at time 0). The genealogical tree of such a population is given. Most models imply that the population is bound to go extinct in finite time. It is explained when the interaction is strong enough so that the extinction time remains finite, when the ancestral population at time 0 goes to infinity. The material could be used for teaching stochastic processes, together with their applications.

Étienne Pardoux is Professor at Aix-Marseille University, working in the field of Stochastic Analysis, stochastic partial differential equations, and probabilistic models in evolutionary biology and population genetics. He obtained his PhD in 1975 at University of Paris-Sud.

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Detail Information

Series Title

Mathematical Biosciences Institute Lecture Series

Call Number

519.5 PAR p

Publisher

Marseilles, France : Springer International Publishing., 2016

Collation

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Language

English

ISBN/ISSN

978-3-319-30328-4

Classification

519.5

Content Type

text

Media Type

computer

Carrier Type

online resource

Edition

1

Subject(s)

Metode statistik

Specific Detail Info

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Statement of Responsibility

Étienne Pardoux

Other Information

Cataloger

Erwin

Source

https://link.springer.com/10.1007/978-3-319-30328-4

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