Fronts from integrodifference equations and persistence effects on the Neolithic transition

DSpace/Manakin Repository

Show simple item record

dc.contributor.author Fort, Joaquim
dc.contributor.author Pérez Losada, Joaquim
dc.contributor.author Isern Sardó, Neus
dc.date.issued 2007-09
dc.identifier.citation Fort, J., Pérez-Losada, J., i Isern, N. (2007). Fronts from integrodifference equations and persistence effects on the Neolithic transition. Physical Review E: (Statistical, Nonlinear, and Soft Matter Physics), 76(3), 031913(10). Recuperat 24 de setembre de 2008, a http://dx.doi.org/10.1103/PhysRevE.76.031913
dc.identifier.issn 1539-3755 (versió paper)
dc.identifier.issn 1550-2376 (versió electrònica)
dc.identifier.uri http://hdl.handle.net/10256/1011
dc.description.abstract We extend a previous model of the Neolithic transition in Europe [J. Fort and V. Méndez, Phys. Rev. Lett. 82, 867 (1999)] by taking two effects into account: (i) we do not use the diffusion approximation (which corresponds to second-order Taylor expansions), and (ii) we take proper care of the fact that parents do not migrate away from their children (we refer to this as a time-order effect, in the sense that it implies that children grow up with their parents, before they become adults and can survive and migrate). We also derive a time-ordered, second-order equation, which we call the sequential reaction-diffusion equation, and use it to show that effect (ii) is the most important one, and that both of them should in general be taken into account to derive accurate results. As an example, we consider the Neolithic transition: the model predictions agree with the observed front speed, and the corrections relative to previous models are important (up to 70%)
dc.format.mimetype application/pdf
dc.language.iso eng
dc.publisher American Physical Society
dc.relation.isformatof Reproducció digital del document publicat a: http://dx.doi.org/10.1103/PhysRevE.76.031913
dc.relation.ispartof © Physical Review E: (Statistical, Nonlinear, and Soft Matter Physics), 2007, vol. 76, núm. 3, p. 031913(10)
dc.relation.ispartofseries Articles publicats (D-F)
dc.rights Tots els drets reservats
dc.subject Física -- Ecologia
dc.subject Neolític -- Models matemàtics
dc.subject Neolithic period -- Mathematical models
dc.subject Physics -- Ecology
dc.subject Equacions de reacció-difusió
dc.subject Reaction-diffusion equations
dc.title Fronts from integrodifference equations and persistence effects on the Neolithic transition
dc.type info:eu-repo/semantics/article
dc.identifier.doi http://dx.doi.org/10.1103/PhysRevE.76.031913


Files in this item

 

Show simple item record

Related Items

Search DUGiDocs


Browse

My Account

Statistics

Impact

This file is restricted

The file you are attempting to access is a restricted file and requires credentials to view. Please login below to access the file.

  1. We will contact you via the email address you have provided us.