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 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%)

Géopoint-82. Les territoires de la vie quotidienne

Relació i resum de les ponències del IV Col•loqui Geopoint 82, celebrat el maig d’aquell any a Avinyó on es van desenvolupar les ponències “Le territoire dans ses rapports avec les espaces géographiques: concept ancien, utilisation nouvelle.”, “Le Pays, niveau géographique.”, “Le territoire de la vie quotidienne et le référentiel-habitant.”, “Réseaux et niveaux de territorialité”, “Pratique de l'eco-développement.”, “Le territoire en milieu urbain.” i “La territorialité.”