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A model of urban scaling laws based on distance dependent interactions

Socio-economic related properties of a city grow faster than a linear relationship with the population, in a log–log plot, the so-called superlinear scaling. Conversely, the larger a city, the more efficient it is in the use of its infrastructure, leading to a sublinear scaling on these variables. I...

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Autores principales: Ribeiro, Fabiano L., Meirelles, Joao, Ferreira, Fernando F., Neto, Camilo Rodrigues
Formato: Online Artículo Texto
Lenguaje:English
Publicado: The Royal Society Publishing 2017
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5383838/
https://www.ncbi.nlm.nih.gov/pubmed/28405381
http://dx.doi.org/10.1098/rsos.160926
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author Ribeiro, Fabiano L.
Meirelles, Joao
Ferreira, Fernando F.
Neto, Camilo Rodrigues
author_facet Ribeiro, Fabiano L.
Meirelles, Joao
Ferreira, Fernando F.
Neto, Camilo Rodrigues
author_sort Ribeiro, Fabiano L.
collection PubMed
description Socio-economic related properties of a city grow faster than a linear relationship with the population, in a log–log plot, the so-called superlinear scaling. Conversely, the larger a city, the more efficient it is in the use of its infrastructure, leading to a sublinear scaling on these variables. In this work, we addressed a simple explanation for those scaling laws in cities based on the interaction range between the citizens and on the fractal properties of the cities. To this purpose, we introduced a measure of social potential which captured the influence of social interaction on the economic performance and the benefits of amenities in the case of infrastructure offered by the city. We assumed that the population density depends on the fractal dimension and on the distance-dependent interactions between individuals. The model suggests that when the city interacts as a whole, and not just as a set of isolated parts, there is improvement of the socio-economic indicators. Moreover, the bigger the interaction range between citizens and amenities, the bigger the improvement of the socio-economic indicators and the lower the infrastructure costs of the city. We addressed how public policies could take advantage of these properties to improve cities development, minimizing negative effects. Furthermore, the model predicts that the sum of the scaling exponents of social-economic and infrastructure variables are 2, as observed in the literature. Simulations with an agent-based model are confronted with the theoretical approach and they are compatible with the empirical evidences.
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spelling pubmed-53838382017-04-12 A model of urban scaling laws based on distance dependent interactions Ribeiro, Fabiano L. Meirelles, Joao Ferreira, Fernando F. Neto, Camilo Rodrigues R Soc Open Sci Physics Socio-economic related properties of a city grow faster than a linear relationship with the population, in a log–log plot, the so-called superlinear scaling. Conversely, the larger a city, the more efficient it is in the use of its infrastructure, leading to a sublinear scaling on these variables. In this work, we addressed a simple explanation for those scaling laws in cities based on the interaction range between the citizens and on the fractal properties of the cities. To this purpose, we introduced a measure of social potential which captured the influence of social interaction on the economic performance and the benefits of amenities in the case of infrastructure offered by the city. We assumed that the population density depends on the fractal dimension and on the distance-dependent interactions between individuals. The model suggests that when the city interacts as a whole, and not just as a set of isolated parts, there is improvement of the socio-economic indicators. Moreover, the bigger the interaction range between citizens and amenities, the bigger the improvement of the socio-economic indicators and the lower the infrastructure costs of the city. We addressed how public policies could take advantage of these properties to improve cities development, minimizing negative effects. Furthermore, the model predicts that the sum of the scaling exponents of social-economic and infrastructure variables are 2, as observed in the literature. Simulations with an agent-based model are confronted with the theoretical approach and they are compatible with the empirical evidences. The Royal Society Publishing 2017-03-22 /pmc/articles/PMC5383838/ /pubmed/28405381 http://dx.doi.org/10.1098/rsos.160926 Text en © 2017 The Authors. http://creativecommons.org/licenses/by/4.0/ Published by the Royal Society under the terms of the Creative Commons Attribution License http://creativecommons.org/licenses/by/4.0/, which permits unrestricted use, provided the original author and source are credited.
spellingShingle Physics
Ribeiro, Fabiano L.
Meirelles, Joao
Ferreira, Fernando F.
Neto, Camilo Rodrigues
A model of urban scaling laws based on distance dependent interactions
title A model of urban scaling laws based on distance dependent interactions
title_full A model of urban scaling laws based on distance dependent interactions
title_fullStr A model of urban scaling laws based on distance dependent interactions
title_full_unstemmed A model of urban scaling laws based on distance dependent interactions
title_short A model of urban scaling laws based on distance dependent interactions
title_sort model of urban scaling laws based on distance dependent interactions
topic Physics
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5383838/
https://www.ncbi.nlm.nih.gov/pubmed/28405381
http://dx.doi.org/10.1098/rsos.160926
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