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Human Dispersals: Mathematical Models and the Archaeological Record
- Human Biology
- Wayne State University Press
- Volume 81, Numbers 2-3, April-June 2009
- pp. 121-140
- 10.1353/hub.2009.a362931
- Article
- Additional Information
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The theoretical literature on human population dispersal processes at the large time and space scale is reviewed, including references to and discussions of relevant empirical data. The basic Fisher-KPP reaction-diffusion system is summarized for the single population situation, and developments relating to the Allee effect, density-dependent dispersal, time delay, advection, spatial and temporal heterogeneity, and anomalous and stratified diffusion are reviewed. Two- and three-population competitive reaction-diffusion systems of Lotka-Volterra type are also reviewed, as are dynamic approaches to carrying capacity that incorporate predator-prey instabilities, ecosystem engineering, and gene-culture coevolution.