Fronts from integrodifference equations and persistence effects on the Neolithic transition
dc.contributor.author
dc.date.accessioned
2008-09-24T11:42:13Z
dc.date.available
2008-09-24T11:42:13Z
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
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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
MEC/PN 2007-2009/FIS-2006-12296-C02-02
AGAUR/2005-2008/2005-SGR-00087
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Reproducció digital del document publicat a: http://dx.doi.org/10.1103/PhysRevE.76.031913
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© Physical Review E: (Statistical, Nonlinear, and Soft Matter Physics), 2007, vol. 76, núm. 3, p. 031913(10)
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Articles publicats (D-F)
dc.rights
Tots els drets reservats
dc.subject
dc.title
Fronts from integrodifference equations and persistence effects on the Neolithic transition
dc.type
info:eu-repo/semantics/article
dc.rights.accessRights
info:eu-repo/semantics/openAccess
dc.identifier.doi
dc.identifier.idgrec
008168
dc.contributor.funder
dc.identifier.eissn
1550-2376