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 su
ce 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 di usion
limited aggregation, evolve towards monofractality if their growth is
constrained by a non-permeable boundary.
Description
Multifractal to monofractal evolution of the London's street network
%0 Generic
%1 murcio2015multifractal
%A Murcio, Roberto
%A Masucci, A. Paolo
%A Arcaute, Elsa
%A Batty, Michael
%D 2015
%K city fractal network street
%T Multifractal to monofractal evolution of the London's street network
%U http://arxiv.org/abs/1505.02760
%X 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 su
ce 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 di usion
limited aggregation, evolve towards monofractality if their growth is
constrained by a non-permeable boundary.
@misc{murcio2015multifractal,
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 su
ce 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 di usion
limited aggregation, evolve towards monofractality if their growth is
constrained by a non-permeable boundary.},
added-at = {2015-05-13T09:41:24.000+0200},
author = {Murcio, Roberto and Masucci, A. Paolo and Arcaute, Elsa and Batty, Michael},
biburl = {https://www.bibsonomy.org/bibtex/245c3abd312b78ee7faac4059b58e01e6/marcogherardi},
description = {Multifractal to monofractal evolution of the London's street network},
interhash = {cdf376eb6ab0a57e021b541997dcd8b0},
intrahash = {45c3abd312b78ee7faac4059b58e01e6},
keywords = {city fractal network street},
note = {cite arxiv:1505.02760Comment: 13 pages, 6 figures},
timestamp = {2015-05-13T09:41:24.000+0200},
title = {Multifractal to monofractal evolution of the London's street network},
url = {http://arxiv.org/abs/1505.02760},
year = 2015
}