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Stepping stone models for population growth

Published online by Cambridge University Press:  14 July 2016

E. Renshaw
E. Renshaw*
Affiliation:
University of Edinburgh
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Abstract

A population is composed of an infinite number of colonies situated at the integer points of a single co-ordinate axis. Each colony develops according to a simple birth and death process and migration is allowed between nearest neighbours. An approximate solution is obtained for the probability structure of the population size, and exact results are derived for the process when immigration is introduced into a single colony from outside the system.

Keywords

BIRTH DEATH AND MIGRATIONIMMIGRATIONSTEPPING STONE MODELSSPATIALLY DISTRIBUTEDCONNECTED PROCESSESBESSEL FUNCTIONS
Type
Research Papers
Information
Journal of Applied Probability , Volume 11 , Issue 1 , March 1974 , pp. 16 - 31
Copyright
Copyright © Applied Probability Trust 1974 

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