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Fractal dimensions of the built-up footprint: buildings versus roads. Fractal evidence from Antwerp (Belgium)

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  • THOMAS, Isabelle
  • FRANKHAUSER, Pierre

Abstract

In this paper we explore further the use of fractal dimensions by comparing values for built-up spaces and values for road networks, both being estimated by the same method. This is done in an attempt to explain the differences theoretically and empirically, and to show how far both indices are complementary and useful in urban planning. Empirical analyses are performed at the scale of the townships within the urban region of Antwerp (Belgium). Fractal dimensions, curves of scaling behavior, and concordance analyses are computed and their usefulness explained. We conclude that both dimensions translate subtly different realities and that they should be used with caution in morphological analyses: the fractal dimension for built-up spaces indicates how uniformly buildings fill space when zooming to ever finer scales, while the fractal dimension for networks indicates the extent to which street segments are distributed more or less uniformly in the study area. The two are not the same, as roads can serve spaces that are not built up.
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  • THOMAS, Isabelle & FRANKHAUSER, Pierre, 2013. "Fractal dimensions of the built-up footprint: buildings versus roads. Fractal evidence from Antwerp (Belgium)," LIDAM Reprints CORE 2468, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    • Handle: RePEc:cor:louvrp:2468
    DOI: 10.1068/b38218
    Note: In : Environment and Planning B: Planning and Design, 40(2), 310-329, 2013
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    1. repec:cai:popine:popu_p1998_10n1_0240 is not listed on IDEAS
    2. Isabelle Thomas & Pierre Frankhauser & Benoit Frenay & Michel Verleysen, 2010. "Clustering Patterns of Urban Built-up Areas with Curves of Fractal Scaling Behaviour," Environment and Planning B, , vol. 37(5), pages 942-954, October.
    3. Isabelle Thomas & Pierre Frankhauser & Marie‐Laurence De Keersmaecker, 2007. "Fractal dimension versus density of built‐up surfaces in the periphery of Brussels," Papers in Regional Science, Wiley Blackwell, vol. 86(2), pages 287-308, June.
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    1. António Dinis F. Santos & Duarte Valério & J. A. Tenreiro Machado & António M. Lopes, 2019. "A fractional perspective to the modelling of Lisbon’s public transportation network," Transportation, Springer, vol. 46(5), pages 1893-1913, October.
    2. Pavón-Domínguez, P. & Rincón-Casado, A. & Ruiz, P. & Camacho-Magriñán, P., 2018. "Multifractal approach for comparing road transport network geometry: The case of Spain," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 510(C), pages 678-690.
    3. Claudia Yamu & Gert de Roo & Pierre Frankhauser, 2016. "Assuming it is all about conditions. Framing a simulation model for complex, adaptive urban space," Environment and Planning B, , vol. 43(6), pages 1019-1039, November.

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