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Simple Urban Simulation Atop Complicated Models: Multi-Scale Equation-Free Computing of Sprawl Using Geographic Automata

Urban Dynamics, Fractals and Generalized Entropy

ATP group - Applications of Theoretical Physics, Centro de Matemática e Aplicações Fundamentais, Instituto para a Investigação Interdisciplinar, P-1649-003 Lisboa Codex, Portugal
Geo Centro de Estudos de Geografia e Planeamento Regional, Faculdade de Ciências Sociais e Humanas, Universidade Nova de Lisboa, Avenida de Berna 26-C, 1069-061 Lisboa, Portugal
Departamento Electrónica, FCEFyN, Universidad Nacional de Córdoba, & CIEM-CONICET Ciudad Universitaria C.P. 5000, Córdoba, Argentina
Departamento de Engenharia Informática & INESC-ID, Instituto Superior Técnico, Universidade Técnica de Lisboa, IST-Tagusparque, 2744-016 Porto Salvo, Portugal
Departamento de Matemática e Aplicações & Centro de Biologia Molecular e Ambiental, Universidade do Minho, 4710-057 Braga, Portugal
Author to whom correspondence should be addressed.
Entropy 2013, 15(7), 2679-2697;
Received: 2 May 2013 / Revised: 5 July 2013 / Accepted: 8 July 2013 / Published: 11 July 2013
(This article belongs to the Special Issue Entropy and Urban Sprawl)
We explore the relation between the local fractal dimension and the development of the built-up area of the Northern Margin of the Metropolitan Area of Lisbon (NMAL), for the period between 1960 and 2004. To this end we make use of a Generalized Local Spatial Entropy (GLSE) function based on which urban areas can be classified into five different types. Our analysis of NMAL shows how some of the growth dynamics encountered can be linked to the plethora of social, economic and political changes that have taken place in NMAL (and Portugal), during the last 40 years, allowing for the establishment of urban planning measures to either inhibit or promote sprawl in urban areas. View Full-Text
Keywords: fractal dimension; generalized entropy; Lisbon metropolitan area; urban growth; sprawl; region types fractal dimension; generalized entropy; Lisbon metropolitan area; urban growth; sprawl; region types
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MDPI and ACS Style

Encarnação, S.; Gaudiano, M.; Santos, F.C.; Tenedório, J.A.; Pacheco, J.M. Urban Dynamics, Fractals and Generalized Entropy. Entropy 2013, 15, 2679-2697.

AMA Style

Encarnação S, Gaudiano M, Santos FC, Tenedório JA, Pacheco JM. Urban Dynamics, Fractals and Generalized Entropy. Entropy. 2013; 15(7):2679-2697.

Chicago/Turabian Style

Encarnação, Sara, Marcos Gaudiano, Francisco C. Santos, José A. Tenedório, and Jorge M. Pacheco. 2013. "Urban Dynamics, Fractals and Generalized Entropy" Entropy 15, no. 7: 2679-2697.

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