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Formulation of the Multitype and Multiscale Model

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Book cover Spatial Fleming-Viot Models with Selection and Mutation

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 2092))

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Abstract

We now introduce the model used in this monograph in general form. Consider a population consisting of multitype individuals divided into colonies (demes) that are located at sites labelled by a countable group \(\Omega _{N}\) (modelling geographic space) and whose types (genotypes) belong to a countable set

$$\displaystyle{ \mbox{ the type space}\quad \mathbb{I}. }$$
(3.1)

The choice of the geographic space \(\Omega _{N}\) defined below is a good caricature (for large N) of a geography around two dimensions as we shall explain later on.

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Authors and Affiliations

  1. School of Mathematics and Statistics, Carleton University, Ottawa, Ontario, Canada

    Donald A. Dawson

  2. Department Mathematik, Universität Erlangen-Nürnberg Mathematisches Institut, Erlangen, Germany

    Andreas Greven

Authors
  1. Donald A. Dawson
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  2. Andreas Greven
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Dawson, D.A., Greven, A. (2014). Formulation of the Multitype and Multiscale Model. In: Spatial Fleming-Viot Models with Selection and Mutation. Lecture Notes in Mathematics, vol 2092. Springer, Cham. https://doi.org/10.1007/978-3-319-02153-9_3

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