Abstract
Stochastic models are investigated for collections of populations which are distributed spatially, either at discrete points on a line or at the nodes of a square or cubic lattice, and which are subject to birth, death, and migration to or from neighbouring populations. Explicit expressions are given for the stochastic means. A general indication is provided for the calculation of variances and covariances, with explicit values for some special cases.
Keywords
MathematicsBirth–death processLattice (music)Stochastic modellingStochastic processStatisticsApplied mathematicsEconometricsStatistical physicsPopulationDemographySociology
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Publication Info
- Year
- 1968
- Type
- article
- Volume
- 55
- Issue
- 1
- Pages
- 189-198
- Citations
- 80
- Access
- Closed
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Cite This
Norman T. J. Bailey
(1968).
Stochastic birth, death and migration processes for spatially distributed populations.
Biometrika
, 55
(1)
, 189-198.
https://doi.org/10.1093/biomet/55.1.189
Identifiers
- DOI
- 10.1093/biomet/55.1.189