Fractal dimension versus density of built-up surfaces in the periphery of Brussels

摘要

This paper tries to demonstrate the usefulness of a fractal analysis for characterising the morphology of built-up areas within the peri-urban fringe. Methodology and expectations are discussed theoretically and geometrically. An empirical analysis is then performed on the southern periphery of Brussels. The effect of the size and shape of the windows is evaluated; this leads to a methodological discussion about the real meaning of fractality and its relationship to density. These analyses confirm the usefulness and limits of the fractal approach: it is a promising tool for describing the morphology of cities and for simulating the growth and development of this field of research.