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Entropy 2013, 15(7), 2679-2697; doi:10.3390/e15072679
Article

Urban Dynamics, Fractals and Generalized Entropy

1,2,* , 3
, 1,4
, 2
 and 1,5
1 ATP group - Applications of Theoretical Physics, Centro de Matemática e Aplicações Fundamentais, Instituto para a Investigação Interdisciplinar, P-1649-003 Lisboa Codex, Portugal 2 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 3 Departamento Electrónica, FCEFyN, Universidad Nacional de Córdoba, & CIEM-CONICET Ciudad Universitaria C.P. 5000, Córdoba, Argentina 4 Departamento de Engenharia Informática & INESC-ID, Instituto Superior Técnico, Universidade Técnica de Lisboa, IST-Tagusparque, 2744-016 Porto Salvo, Portugal 5 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.
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)
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Abstract

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.
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
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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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.

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