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The spatial distribution of Tribolium confusum

Published online by Cambridge University Press:  14 July 2016

Eric Renshaw
Eric Renshaw*
Affiliation:
University of Edinburgh
*
∗Postal address: Department of Statistics, University of Edinburgh, James Clerk Maxwell Building, The King's Buildings, Mayfield Rd., Edinburgh EH9 3JZ, U.K.
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Abstract

Neyman, Park and Scott (1956) describe an experiment which they performed to determine the spatial distribution of Tribolium confusum developing within a closed container. To explain the concentration of beetles at the boundary a birth–death–migration model is developed in which the beetles may migrate over a set of lattice points, and this is shown to produce a distribution of the required shape. Not only is this distribution independent of the number of lattice points, but it is also indistinguishable from the associated diffusion process.

Keywords

TRIBOLIUM CONFUSUMSPATIAL POPULATION PROCESSLATTICEBIRTHDEATH AND MIGRATIONDIFFUSION
Type
Research Papers
Information
Journal of Applied Probability , Volume 17 , Issue 4 , December 1980 , pp. 895 - 911
Copyright
Copyright © Applied Probability Trust 

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