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...
| Authors: | , |
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| Format: | article |
| Status: | Published version |
| Publication Date: | 1999 |
| Country: | España |
| Institution: | Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya) |
| Repository: | Recercat. Dipósit de la Recerca de Catalunya |
| OAI Identifier: | oai:recercat.cat:10256/7713 |
| Online Access: | http://hdl.handle.net/10256/7713 |
| Access Level: | Open access |
| Keyword: | Neolític -- Models matemàtics Neolithic period -- Mathematical models Equacions de reacció-difusió Reaction-diffusion equations |
| Summary: | 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 |
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