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A Deterministic Matrix Model for Handling the Birth, Death, and Migration Processes of Spatially Distributed Populations
M. B. Usher and M. H. Williamson
Vol. 26, No. 1 (Mar., 1970), pp. 1-12
Published by: International Biometric Society
Stable URL: http://www.jstor.org/stable/2529039
Page Count: 12
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Square matrices, a development of a model used in population mathematics, are used to predict the distribution of organisms in one, two, and three dimensional environments. The parameters of the matrix are the birth and death constants for the migrant and non-migrant members of the population, and the migration rate. This latter can be assumed to be equal in all directions, or to be unequal such that the organisms are living in a physical or ecological gradient. The model is applied to a population of Tribolium confusum beetles in a square of flour.
Biometrics © 1970 International Biometric Society