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The limiting properties of population distributions with particular application to manpower planning

Published online by Cambridge University Press:  14 July 2016

Mark Woodward
Mark Woodward*
Affiliation:
University of Reading
*
∗ Present address: Central Statistical Office, P.O. Box 8063, Causeway, Harare, Zimbabwe.
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Abstract

A model for predicting expected-value population distributions is developed, assuming that all movements are Markovian and time-homogeneous. Each individual is classified by the amount of time he has spent in the population and by which of a number of classes, of an unspecified nature, he inhabits. The limiting properties of the population distribution are derived, and, in particular, conditions for convergence to a stable distribution are given.

Some discussion of the relevance of the theory to practical applications is given, primarily to manpower planning when recruitment occurs purely to maintain a specified overall population size.

Keywords

POPULATION GROWTH MODELSLIMITING POPULATION DISTRIBUTIONS
Type
Research Papers
Information
Journal of Applied Probability , Volume 20 , Issue 1 , March 1983 , pp. 19 - 30
Copyright
Copyright © Applied Probability Trust 1983 

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