Multifractal to monofractal evolution of the London street network

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Roberto MurcioMichael Batty

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, which can be described in terms of a multifractal, to a homogeneous one, which converges to monofractality. We argue that London's multifractal to monofractal 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 toward monofractality if their growth is constrained by a nonpermeable boundary.

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Citations

Apr 14, 2017·Royal Society Open Science·Fabiano L RibeiroCamilo Rodrigues Neto
May 7, 2016·Royal Society Open Science·Elsa ArcauteMichael Batty
Jun 29, 2017·Scientific Reports·Carlos MolineroElsa Arcaute
Jan 20, 2018·Physical Review. E·A P Riascos
Nov 14, 2018·Entropy·Miguel Melgarejo, Nelson Obregon
Mar 18, 2021·Journal of the Royal Society, Interface·Carlos Molinero, Stefan Thurner
May 1, 2021·Entropy·Agnieszka Bitner, Marcin Fialkowski

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