Simulation Analysis of the Fractality of Cities

The morphology of built-up landscapes in Wallonia (Belgium): A classification using fractal indices

“…This corresponds to the different stages of peri-urbanisation: firstly, isolated detached houses are built which correspond to "leapfrogging"; then "tentacular" evolution occurs where interstitial spaces are filled in along transportation axes; finally the large empty lanes between the former axes are developed and a fairly uniform pattern emerges. This result accords with Benguigui and Czamanski's (2004) analysis of Tel Aviv.…”

“…However, detailed measures of spatial distribution are clearly needed to complement the description of the morphology of an urban area (for examples, see Badariotti, 2005;Batty and Xie, 1996;Benguigui and Czamanski, 2004;Carvalho and Penn, 2004;Frankhauser, 1998;Schweitzer and Steinbrick, 1998;Tannier and Pumain, 2005). Fractal analyses provide synthetic measures of complexity, and thereby allow a numerical characterisation of places.…”

“…Fractal analyses provide synthetic measures of complexity, and thereby allow a numerical characterisation of places. Benguigui and Czamanski (2004) proved that fractality implies that a city possesses a similar structure at several different scales. This suggests the presence of some hidden process that operates at different urban scales and generates similarity.…”

Spatial-temporal changes of Tianjin urban spatial morphology from 1978 to 2004

“…Fractality in cities implies that a city possesses a similar structure at several different scales and has the ability of self-organization. Its existence is of great significance because it suggests the presence of some hidden process that operates at different urban scales and generates similarity (Benguigui, 2004;Batty, 1988;Shen, 2002). We use area-perimeter fractal dimensions to calculate fractal characteristic of urbanized area Luo et al, 2002).…”

Gravitational forces in the spatial impacts of urban sprawl: An investigation of the region of Veneto, Italy

“…These developments, however, contribute directly to sprawl rather than growth. Such processes may be represented on a geographical scale with fractality, as proposed by Benguigui and Czamanski (2004), whereby the spatial dimension of urban land use becomes detectable, and the changes over time possible to assess. Recently, the European Environmental Agency (EEA) released a report entitled The Changing Face of Europe's Coastal Areas, (EEA, 2006a), which questioned with increasing concern the human impact on the environment, and on coastal areas, where most of the population resides.…”