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Dispersal distances and cultural effects in the spread of the Neolithic along the northern Mediterranean coast Fort, Joaquim Neolític -- Models matemàtics Neolithic period -- Mathematical models Difusió cultural -- Models matemàtics Culture diffusion -- Mathematical models We estimate a spread rate of 7.5-10.6 km/year for the Neolithic expansion along the northern shore of the western Mediterranean. Comparing to theory and numerical simulations of demic-cultural waves of advance, we find that the length of coastal jumps was 240 ≤ Δ ≤ 427 km. We also derive what we believe are the first analytical equations for spread rates of waves of advance along a coast, and they agree with the simulation results. We show that the importance of cultural diffusion in this Neolithic spread was less than 21%, so demic diffusion was responsible for at least 79% of the observed spread rate. We argue that these results suggest that the spread took place using boats, and also a limited interaction between the incoming farmers and the autochthonous hunter-gatherers Open Access funding provided thanks to the CRUE-CSIC agreement with Springer Nature. This work was partially funded by MCIN/AEI/10.13039/501100011033 (grant PID2019-104585 GB-I00) and the Institució Catalana d'Estudis Avançats (ICREA Academia Grant 2022–2026) 2022-07-22 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion peer-reviewed info:eu-repo/semantics/altIdentifier/doi/10.1007/s12520-022-01619-x info:eu-repo/semantics/altIdentifier/issn/1866-9557 info:eu-repo/semantics/altIdentifier/eissn/1866-9565 info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2019-104585GB-I00/ES/ONDAS DE AVANCE BAJO DIFUSION DEMICA Y CULTURAL: MODELOS FISICOS DE PROPAGACION NEOLITICA/ Reconeixement 4.0 Internacional http://creativecommons.org/licenses/by/4.0 info:eu-repo/semantics/openAccess Springer Archaeological And Anthropological Sciences, 2022, vol. 14, art.núm. 153 Articles publicats (D-F) Fort, Joaquim 2022 Dispersal distances and cultural effects in the spread of the Neolithic along the northern Mediterranean coast Archaeological And Anthropological Sciences 14 art.núm. 153