Murcio, R; Masucci, AP; Arcaute, E; Batty, M; (2015) Multifractal to monofractal evolution of the London street network. Physical Review E , 92 (6) , Article 062130. 10.1103/PhysRevE.92.062130.

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Abstract

We perform a multifractal analysis of the evolution of London’s street network from 1786 to 2010. First, we show that a single fractal dimension, commonly associated with the morphological description of cities, does not suffice to capture the dynamics of the system. Instead, for a proper characterization of such a dynamics, the multifractal spectrum needs to be considered. Our analysis reveals that London evolves from an inhomogeneous fractal structure, that can be described in terms of a multifractal, to a homogeneous one, that converges to monofractality. We argue that London’s multifractal to monofracal evolution might be a special outcome of the constraint imposed on its growth by a green belt. Through a series of simulations, we show that multifractal objects, constructed through diffusion limited aggregation, evolve towards monofractality if their growth is constrained by a non-permeable boundary.

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