Fronts from integrodifference equations and persistence effects on the Neolithic transition

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...

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Detalhes bibliográficos
Autores: Fort, Joaquim, Pérez Losada, Joaquim, Isern Sardó, Neus
Formato: artículo
Fecha de publicación:2007
País:España
Recursos:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Repositorio:Recercat. Dipósit de la Recerca de Catalunya
OAI Identifier:oai:recercat.cat:10256/1011
Acesso em linha:http://hdl.handle.net/10256/1011
Access Level:acceso abierto
Palavra-chave:Física -- Ecologia
Neolític -- Models matemàtics
Neolithic period -- Mathematical models
Physics -- Ecology
Equacions de reacció-difusió
Reaction-diffusion equations
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spelling Fronts from integrodifference equations and persistence effects on the Neolithic transitionFort, JoaquimPérez Losada, JoaquimIsern Sardó, NeusFísica -- EcologiaNeolític -- Models matemàticsNeolithic period -- Mathematical modelsPhysics -- EcologyEquacions de reacció-difusióReaction-diffusion equationsWe 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%)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-2005-00087American Physical SocietyMinisterio de Educación y Ciencia (Espanya)Generalitat de Catalunya. Agència de Gestió d'Ajuts Universitaris i de Recerca2007info:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10256/1011http://hdl.handle.net/10256/1011© Physical Review E: (Statistical, Nonlinear, and Soft Matter Physics), 2007, vol. 76, núm. 3, p. 031913(10)Articles publicats (D-F)reponame:Recercat. Dipósit de la Recerca de Catalunyainstname:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)Inglésinfo:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevE.76.031913info:eu-repo/semantics/altIdentifier/issn/1539-3755info:eu-repo/semantics/altIdentifier/eissn/1550-2376MEC/PN 2007-2009/FIS-2006-12296-C02-02AGAUR/2005-2008/2005-SGR-00087Tots els drets reservatsinfo:eu-repo/semantics/openAccessoai:recercat.cat:10256/10112026-05-29T05:05:01Z
dc.title.none.fl_str_mv Fronts from integrodifference equations and persistence effects on the Neolithic transition
title Fronts from integrodifference equations and persistence effects on the Neolithic transition
spellingShingle Fronts from integrodifference equations and persistence effects on the Neolithic transition
Fort, Joaquim
Física -- Ecologia
Neolític -- Models matemàtics
Neolithic period -- Mathematical models
Physics -- Ecology
Equacions de reacció-difusió
Reaction-diffusion equations
title_short Fronts from integrodifference equations and persistence effects on the Neolithic transition
title_full Fronts from integrodifference equations and persistence effects on the Neolithic transition
title_fullStr Fronts from integrodifference equations and persistence effects on the Neolithic transition
title_full_unstemmed Fronts from integrodifference equations and persistence effects on the Neolithic transition
title_sort Fronts from integrodifference equations and persistence effects on the Neolithic transition
dc.creator.none.fl_str_mv Fort, Joaquim
Pérez Losada, Joaquim
Isern Sardó, Neus
author Fort, Joaquim
author_facet Fort, Joaquim
Pérez Losada, Joaquim
Isern Sardó, Neus
author_role author
author2 Pérez Losada, Joaquim
Isern Sardó, Neus
author2_role author
author
dc.contributor.none.fl_str_mv Ministerio de Educación y Ciencia (Espanya)
Generalitat de Catalunya. Agència de Gestió d'Ajuts Universitaris i de Recerca
dc.subject.none.fl_str_mv Física -- Ecologia
Neolític -- Models matemàtics
Neolithic period -- Mathematical models
Physics -- Ecology
Equacions de reacció-difusió
Reaction-diffusion equations
topic Física -- Ecologia
Neolític -- Models matemàtics
Neolithic period -- Mathematical models
Physics -- Ecology
Equacions de reacció-difusió
Reaction-diffusion equations
description 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%)
publishDate 2007
dc.date.none.fl_str_mv 2007
dc.type.none.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv http://hdl.handle.net/10256/1011
http://hdl.handle.net/10256/1011
url http://hdl.handle.net/10256/1011
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevE.76.031913
info:eu-repo/semantics/altIdentifier/issn/1539-3755
info:eu-repo/semantics/altIdentifier/eissn/1550-2376
MEC/PN 2007-2009/FIS-2006-12296-C02-02
AGAUR/2005-2008/2005-SGR-00087
dc.rights.none.fl_str_mv Tots els drets reservats
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Tots els drets reservats
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv American Physical Society
publisher.none.fl_str_mv American Physical Society
dc.source.none.fl_str_mv © Physical Review E: (Statistical, Nonlinear, and Soft Matter Physics), 2007, vol. 76, núm. 3, p. 031913(10)
Articles publicats (D-F)
reponame:Recercat. Dipósit de la Recerca de Catalunya
instname:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
instname_str Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
reponame_str Recercat. Dipósit de la Recerca de Catalunya
collection Recercat. Dipósit de la Recerca de Catalunya
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15.228081

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