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Vertical cultural transmission effects on demic front propagation: Theory and application to the Neolithic transition in Europe

It is shown that Lotka-Volterra interaction terms are not appropriate to describe vertical cultural transmission. Appropriate interaction terms are derived and used to compute the effect of vertical cultural transmission on demic front propagation. They are also applied to a specific example, the Neolithic transition in Europe. In this example, it is found that the effect of vertical cultural transmission can be important (about 30%). On the other hand, simple models based on differential equations can lead to large errors (above 50%). Further physical, biophysical, and cross-disciplinary applications are outlined

© Physical Review E, 2011, vol. 83, núm.5, p. 056124

American Physical Society

Author: Fort, Joaquim
Date: 2011
Abstract: It is shown that Lotka-Volterra interaction terms are not appropriate to describe vertical cultural transmission. Appropriate interaction terms are derived and used to compute the effect of vertical cultural transmission on demic front propagation. They are also applied to a specific example, the Neolithic transition in Europe. In this example, it is found that the effect of vertical cultural transmission can be important (about 30%). On the other hand, simple models based on differential equations can lead to large errors (above 50%). Further physical, biophysical, and cross-disciplinary applications are outlined
Format: application/pdf
ISSN: 1539-3755 (versió paper)
1550-2376 (versió electrònica)
Document access: http://hdl.handle.net/10256/7710
Language: eng
Publisher: American Physical Society
Collection: Reproducció digital del document publicat a: http://link.aps.org/doi/10.1103/PhysRevE.83.056124
Articles publicats (D-F)
Is part of: © Physical Review E, 2011, vol. 83, núm.5, p. 056124
Rights: Tots els drets reservats
Subject: Equacions diferencials parcials
Differential equations, Partia
Neolític -- Models matemàtics
Neolithic period -- Mathematical models
Title: Vertical cultural transmission effects on demic front propagation: Theory and application to the Neolithic transition in Europe
Type: info:eu-repo/semantics/article
Repository: DUGiDocs

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