Front propagation and cultural transmission. Theory and application to Neolithic transitions

We study the front propagation of a population that incorporates individuals of a second, pre-existing population. Previous models of such incorporation deal only with vertical cultural transmission (interbreeding) and horizontal cultural transmission (acculturation of individuals of the second popu...

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Detalhes bibliográficos
Autor: Fort, Joaquim
Tipo de documento: artigo
Estado:Versão publicada
Data de publicação:2021
País:España
Recursos:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Repositório:Recercat. Dipósit de la Recerca de Catalunya
OAI Identifier:oai:recercat.cat:10256/19631
Acesso em linha:http://hdl.handle.net/10256/19631
Access Level:Acceso aberto
Palavra-chave:Neolític -- Models matemàtics
Neolithic period -- Mathematical models
Equacions de reacció-difusió
Reaction-diffusion equations
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spelling Front propagation and cultural transmission. Theory and application to Neolithic transitionsFort, JoaquimNeolític -- Models matemàticsNeolithic period -- Mathematical modelsEquacions de reacció-difusióReaction-diffusion equationsWe study the front propagation of a population that incorporates individuals of a second, pre-existing population. Previous models of such incorporation deal only with vertical cultural transmission (interbreeding) and horizontal cultural transmission (acculturation of individuals of the second population by members of the first one and of similar age). Here we present the first model of oblique transmission (acculturation by individuals of an older generation), which is more complicated because a model with age structure is necessary. We compare the new, age-structured model for oblique, horizontal and vertical transmission. The most powerful mechanism (fastest fronts) is oblique transmission. Two illustrative applications of Neolithic front propagation are presented. In one of them, the front was so fast that neither horizontal nor vertical transmission can explain it (but oblique transmission can). In the cases for which cultural transmission is a viable explanation, the observed front speed yields bounds on the intensity of cultural transmission. Our models are also of interest in many other Neolithic and non-Neolithic human range expansions, including major human migrations. Additionally, in future work the new age-structured models reported in this paper could be applied to model genetic gradients and, possibly, to similar phenomena in other species in which cultural transmission is well-known to occurPartially funded by Ministerio de Ciencia e Innovación (grant PID2019-104585GB-I00) and AGAUR (grant 2017-SGR-243).Open Access funding provided thanks to the CRUE-CSIC agreement with ElsevierElsevierAgencia Estatal de Investigación2021info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionpeer-reviewedapplication/pdfhttp://hdl.handle.net/10256/19631http://hdl.handle.net/10256/19631Chaos, Solitons & Fractals, 2021, vol. 148, p. 11060Articles 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/10.1016/j.chaos.2021.111060info:eu-repo/semantics/altIdentifier/issn/0960-0779info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2019-104585GB-I00Attribution 4.0 Internationalhttp://creativecommons.org/licenses/by/4.0/info:eu-repo/semantics/openAccessoai:recercat.cat:10256/196312026-05-29T05:05:01Z
dc.title.none.fl_str_mv Front propagation and cultural transmission. Theory and application to Neolithic transitions
title Front propagation and cultural transmission. Theory and application to Neolithic transitions
spellingShingle Front propagation and cultural transmission. Theory and application to Neolithic transitions
Fort, Joaquim
Neolític -- Models matemàtics
Neolithic period -- Mathematical models
Equacions de reacció-difusió
Reaction-diffusion equations
title_short Front propagation and cultural transmission. Theory and application to Neolithic transitions
title_full Front propagation and cultural transmission. Theory and application to Neolithic transitions
title_fullStr Front propagation and cultural transmission. Theory and application to Neolithic transitions
title_full_unstemmed Front propagation and cultural transmission. Theory and application to Neolithic transitions
title_sort Front propagation and cultural transmission. Theory and application to Neolithic transitions
dc.creator.none.fl_str_mv Fort, Joaquim
author Fort, Joaquim
author_facet Fort, Joaquim
author_role author
dc.contributor.none.fl_str_mv Agencia Estatal de Investigación
dc.subject.none.fl_str_mv Neolític -- Models matemàtics
Neolithic period -- Mathematical models
Equacions de reacció-difusió
Reaction-diffusion equations
topic Neolític -- Models matemàtics
Neolithic period -- Mathematical models
Equacions de reacció-difusió
Reaction-diffusion equations
description We study the front propagation of a population that incorporates individuals of a second, pre-existing population. Previous models of such incorporation deal only with vertical cultural transmission (interbreeding) and horizontal cultural transmission (acculturation of individuals of the second population by members of the first one and of similar age). Here we present the first model of oblique transmission (acculturation by individuals of an older generation), which is more complicated because a model with age structure is necessary. We compare the new, age-structured model for oblique, horizontal and vertical transmission. The most powerful mechanism (fastest fronts) is oblique transmission. Two illustrative applications of Neolithic front propagation are presented. In one of them, the front was so fast that neither horizontal nor vertical transmission can explain it (but oblique transmission can). In the cases for which cultural transmission is a viable explanation, the observed front speed yields bounds on the intensity of cultural transmission. Our models are also of interest in many other Neolithic and non-Neolithic human range expansions, including major human migrations. Additionally, in future work the new age-structured models reported in this paper could be applied to model genetic gradients and, possibly, to similar phenomena in other species in which cultural transmission is well-known to occur
publishDate 2021
dc.date.none.fl_str_mv 2021
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
peer-reviewed
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/10256/19631
http://hdl.handle.net/10256/19631
url http://hdl.handle.net/10256/19631
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1016/j.chaos.2021.111060
info:eu-repo/semantics/altIdentifier/issn/0960-0779
info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2019-104585GB-I00
dc.rights.none.fl_str_mv Attribution 4.0 International
http://creativecommons.org/licenses/by/4.0/
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Attribution 4.0 International
http://creativecommons.org/licenses/by/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv Chaos, Solitons & Fractals, 2021, vol. 148, p. 11060
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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