L'analyse fractale, un nouvel outil pour l'analyse spatiale des agglomérations urbaines

Abstract : The fractal approach. A new tool for the spatial analysis of urban agglomerations. Fractal geometry is a new approach for the study of spatial distributions. The basic model is a law of hierarchical distribution corresponding to Pareto's law which is familiar to urban geographers and demographers. The methods of fractal analysis can be used to study the spatial organization of human activities across scales. The regularities and the discontinuities in the distributions can then be identified. These discontinuities can be spatially situated. Applying this concept to urbanized areas has shown that districts can be defined and classified according to their scaling relations, thereby allowing development of a typology of locational patterns. This observation reveals the existence of a principle of self-similarity in land-use patterns. An examination of time series shows that despite the apparent fragmentation of these urban tissues, urbanization is often accompanied by structured development. Subsequent research will need to employ complementary morphological measures, such as measures of space filling and of population distribution, which could be used to validate the simulation models based on fractal geometry.
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https://hal.archives-ouvertes.fr/hal-00873628
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Pierre Frankhauser. L'analyse fractale, un nouvel outil pour l'analyse spatiale des agglomérations urbaines. Population - Paris, Institut National D'etudes Demographiques, 1997, 52 (4), pp.1005-1040. ⟨hal-00873628⟩

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