Fronts from integrodifference equations and persistence effects on the Neolithic transition

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Show simple item record Fort, Joaquim Pérez Losada, Joaquim Isern Sardó, Neus 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
dc.identifier.issn 1539-3755 (versió paper)
dc.identifier.issn 1550-2376 (versió electrònica)
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.description.sponsorship Funded by the European Commission Grant No. NEST-28192-FEPRE, the MEC-FEDER Grant No. FIS-2006-12296-C02-02, and the Generalitat de Catalunya Grant No.SGR-2005-00087
dc.format.mimetype application/pdf
dc.language.iso eng
dc.publisher American Physical Society
dc.relation MICYT/PN 2007-2009/FIS-2006-12296-C02-02
dc.relation AGAUR/2005-2008/2005-SGR-00087
dc.relation.isformatof Reproducció digital del document publicat a:
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.contributor.funder Ministerio de Ciencia y Tecnología (Espanya)
dc.contributor.funder Generalitat de Catalunya. Agència de Gestió d'Ajuts Universitaris i de Recerca

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