Journal
HUMAN BIOLOGY
Volume 81, Issue 2-3, Pages 121-140Publisher
WAYNE STATE UNIV PRESS
DOI: 10.3378/027.081.0302
Keywords
FISHER-KPP REACTION-DIFFUSION SYSTEM; LOTKA-VOLTERRA SYSTEM; ALLEE EFFECT; DENSITY-DEPENDENT DISPERSAL; TIME DELAY; ADVECTION; SPATIAL AND TEMPORAL HETEROGENEITY; ANOMALOUS AND STRATIFIED DIFFUSION; BIOLOGICAL INVASIONS; HUMAN POPULATION DISPERSAL; PALEOLITHIC; NEOLITHIC; RADIOCARBON DATING; CARRYING CAPACITY
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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-KIT 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.
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