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Spatial Models of Population Processes

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Modern Problems of Stochastic Analysis and Statistics (MPSAS 2016)

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 208))

Abstract

Recent progress has been made on spatial mathematical models of population processes. We review a few of these: the spatial Galton–Watson model, modern versions that add migration and immigration and thereby may avoid the increasing concentration of population into an ever smaller space (clusterization), models involving a random environment, and two versions of the Bolker–Pakala model, in which mortality (or birth rate) is affected by competition.

For the first author, this work has been funded by the Russian Academic Excellence Project ‘5-100’.

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Author information

Authors and Affiliations

  1. Department of Mathematics and Statistics, University of North Carolina at Charlotte, Charlotte, NC, 28223, USA

    Stanislav Molchanov

  2. National Research University, Higher School of Economics, Moscow, Russian Federation

    Stanislav Molchanov

  3. Department of Sociology, University of North Carolina at Charlotte, Charlotte, NC, 28223, USA

    Joseph Whitmeyer

Authors
  1. Stanislav Molchanov
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  2. Joseph Whitmeyer
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Corresponding author

Correspondence to Joseph Whitmeyer .

Editor information

Editors and Affiliations

  1. Department of Statistics and Data Analysis, Higher School of Economics, Moscow, Russia

    Vladimir Panov

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Molchanov, S., Whitmeyer, J. (2017). Spatial Models of Population Processes. In: Panov, V. (eds) Modern Problems of Stochastic Analysis and Statistics. MPSAS 2016. Springer Proceedings in Mathematics & Statistics, vol 208. Springer, Cham. https://doi.org/10.1007/978-3-319-65313-6_17

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