title: Human dispersals: mathematical models and the archaeological record.
abstract: 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.
authors: AHRC Centre for the Evolution of Cultural Diversity, Institute of Archaeology, University College London, 31-34 Gordon Square, London WC1H 0PY, United Kingdom.
authors: James
authors: J
authors: Steele
mesh_terms: D001106:Archaeology; D003468:Cultural Evolution; D003710:Demography; D006801:Humans; D008957:Models, Genetic; D008962:Models, Theoretical; D011156:Population Density; D011157:Population Dynamics; D013997:Time Factors