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Integro-difference equations for interacting species and the Neolithic transition

We introduce a set of sequential integro-difference equations to analyze the dynamics of two interacting species. Firstly, we derive the speed of the fronts when a species invades a space previously occupied by a second species, and check its validity by means of numerical random-walk simulations. As an example, we consider the Neolithic transition: the predictions of the model are consistent with the archaeological data for the front speed, provided that the interaction parameter is low enough. Secondly, an equation for the coexistence time between the invasive and the invaded populations is obtained for the first time. It agrees well with the simulations, is consistent with observations of the Neolithic transition, and makes it possible to estimate the value of the interaction parameter between the incoming and the indigenous populations

New Journal of Physics: the open-acces journal for physics, 2008, vol. 10, núm. 4, p. 043045

IOP Institute of Physics and Deutsche Physikalische Gesellschaft

Author: Fort, Joaquim
Pérez Losada, Joaquim
Suñol Martínez, Joan Josep
Escoda i Acero, Ma. Lluïsa
Massaneda Clares, Josep M.
Date: 2008 April
Abstract: We introduce a set of sequential integro-difference equations to analyze the dynamics of two interacting species. Firstly, we derive the speed of the fronts when a species invades a space previously occupied by a second species, and check its validity by means of numerical random-walk simulations. As an example, we consider the Neolithic transition: the predictions of the model are consistent with the archaeological data for the front speed, provided that the interaction parameter is low enough. Secondly, an equation for the coexistence time between the invasive and the invaded populations is obtained for the first time. It agrees well with the simulations, is consistent with observations of the Neolithic transition, and makes it possible to estimate the value of the interaction parameter between the incoming and the indigenous populations
Format: application/pdf
Citation: Fort, J., Pérez-Losada, J., Suñol, J.J., Escoda, MªL., i Massaneda, J.M. (2008). Integro-difference equations for interacting species and the Neolithic transition. New Journal of Physics: the open-acces journal for physics, 10(4), 043045. Recuperat 24 de setembre de 2008, a http://dx.doi.org/10.1088/1367-2630/10/4/043045
ISSN: 1367-2630 (versió paper)
1367-2630 (versió electrònica)
Document access: http://hdl.handle.net/10256/1010
Language: eng
Publisher: IOP Institute of Physics and Deutsche Physikalische Gesellschaft
Collection: Reproducció digital del document publicat a: http://dx.doi.org/10.1088/1367-2630/10/4/043045
Articles publicats (D-F)
Is part of: New Journal of Physics: the open-acces journal for physics, 2008, vol. 10, núm. 4, p. 043045
Rights: Aquest document està subjecte a una llicència Creative Commons: Reconeixement – No comercial – Compartir igual (by-nc-sa)
Rights URI: http://creativecommons.org/licenses/by-nc-sa/3.0/deed.ca
Subject: Física -- Ecologia
Neolític -- Models matemàtics
Neolithic period -- Mathematical models
Physics -- Ecology
Title: Integro-difference equations for interacting species and the Neolithic transition
Type: info:eu-repo/semantics/article
Repository: DUGiDocs

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