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Time-Delayed Theory of the Neolithic Transition in Europe

The classical wave-of-advance model of the neolithic transition (i.e., the shift from hunter-gatherer to agricultural economies) is based on Fisher’s reaction-diffusion equation. Here we present an extension of Einstein’s approach to Fickian diffusion, incorporating reaction terms. On this basis we show that second-order terms in the reaction-diffusion equation, which have been neglected up to now, are not in fact negligible but can lead to important corrections. The resulting time-delayed model agrees quite well with observations

© Physical Review Letters, 2009, vol. 82, núm. 4, p. 867-870

American Physical Society

Autor: Fort, Joaquim
Méndez López, Vicenç
Data: 1999
Resum: The classical wave-of-advance model of the neolithic transition (i.e., the shift from hunter-gatherer to agricultural economies) is based on Fisher’s reaction-diffusion equation. Here we present an extension of Einstein’s approach to Fickian diffusion, incorporating reaction terms. On this basis we show that second-order terms in the reaction-diffusion equation, which have been neglected up to now, are not in fact negligible but can lead to important corrections. The resulting time-delayed model agrees quite well with observations
Format: application/pdf
ISSN: 0031-9007 (versió paper)
1079-7114 (versió electrònica)
Accés al document: http://hdl.handle.net/10256/7713
Llenguatge: eng
Editor: American Physical Society
Col·lecció: Reproducció digital del document publicat a: http://link.aps.org/doi/10.1103/PhysRevLett.82.867
Articles publicats (D-F)
És part de: © Physical Review Letters, 2009, vol. 82, núm. 4, p. 867-870
Drets: Tots els drets reservats
Matèria: Neolític -- Models matemàtics
Neolithic period -- Mathematical models
Equacions de reacció-difusió
Reaction-diffusion equations
Títol: Time-Delayed Theory of the Neolithic Transition in Europe
Tipus: info:eu-repo/semantics/article
Repositori: DUGiDocs

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