Human dispersals: mathematical models and the archaeological record

Human Biology
James Steele

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.

Citations

Jun 10, 2010·Theory in Biosciences = Theorie in Den Biowissenschaften·James Steele, Anne Kandler
Mar 13, 2014·Journal of Human Evolution·Colin D WrenAriane Burke
Jul 7, 2011·American Journal of Physical Anthropology·Patrik GaletaJaroslav Bruzek
Jun 30, 2015·American Journal of Physical Anthropology·Charlotte L KingGeoff Nowell
Aug 31, 2016·Proceedings of the National Academy of Sciences of the United States of America·Sean S DowneyStephen J Shennan
Oct 17, 2015·Journal of Human Evolution·Matt GroveDei Huws
Sep 23, 2016·Nature·Axel Timmermann, Tobias Friedrich
Apr 21, 2017·PloS One·Natalie TkachenkoSimone Callegari
May 8, 2015·Journal of the Royal Society, Interface·Juan José IbáñezVicenç Méndez
Sep 19, 2015·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·J RipollJ Saldaña
Apr 25, 2019·Nature Communications·Javier Fernández-López de PabloSergi Lozano
Dec 9, 2016·Journal of the Royal Society, Interface·Dong Wang, Michael W Deem
Jul 7, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Joaquim Fort
Dec 1, 2020·Philosophical Transactions of the Royal Society of London. Series B, Biological Sciences·Marc Vander Linden, Fabio Silva
Feb 23, 2021·Royal Society Open Science·Nico NeureiterRobert Weibel
Jul 1, 2021·PloS One·Ericson HölzchenIngo J Timm

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