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Velocities of propagation for stepping-stone models of population growth

Published online by Cambridge University Press:  14 July 2016

Eric Renshaw
Eric 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 only. Exact expressions are derived for both the asymptotic velocity of propagation and the shape of the wave profile as the population spreads along the axis, and it is shown that they are identical with the saddle point approximations developed by Daniels.

Keywords

BIRTHDEATHMIGRATIONSPATIAL POPULATION PROCESSSTEPPING-STONE MODELVELOCITY OF PROPAGATIONBESSEL FUNCTIONSADDLE POINT APPROXIMATIONCONTACT DISTRIBUTION
Type
Short Communications
Information
Journal of Applied Probability , Volume 14 , Issue 3 , September 1977 , pp. 591 - 597
Copyright
Copyright © Applied Probability Trust 1977 

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References

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