Multifractal to monofractal evolution of the London's street network

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.

13 pages, 6 figures

References in corpus (1)

• Laws of Population Growth

Cited by in corpus (27)

• Multifractal methodology
• Cities and Regions in Britain through hierarchical percolation
• Automatic extraction of road intersection points from USGS historical map series using deep convolutional neural networks
• Fractal and Multifractal Properties of Electrographic Recordings of Human Brain Activity: Toward Its Use as a Signal Feature for Machine Learning in Clinical Applications
• Equivalent Relation between Normalized Spatial Entropy and Fractal Dimension
• Modeling Growth Curve of Fractal Dimension of Urban Form of Beijing
• Urban retail dynamics: insights from percolation theory and spatial interaction modelling
• Multifractal scaling analyses of urban street network structure: the cases of twelve megacities in China
• URBAN-i: From urban scenes to mapping slums, transport modes, and pedestrians in cities using deep learning and computer vision
• Robustness and Closeness Centrality for Self-Organized and Planned Cities
• Uncovering inequality through multifractality of land prices: 1912 Kyoto, a case study
• A comparison between two OLS-based approaches to estimating urban multifractal parameters
• Some recent advances in urban system science: models and data
• The solutions to uncertainty problem of urban fractal dimension calculation
• Spatial Analysis of Cities Using Renyi Entropy and Fractal Parameters
• On multifractals: a non-linear study of actigraphy data
• Fractal Texture and Structure of Central Place Systems
• How the geometry of cities explains urban scaling laws and determines their exponents
• A computationally-efficient sandbox algorithm for multifractal analysis of large-scale complex networks with tens of millions of nodes
• Renyi's spectra of urban form for different modalities of input data
• Modeling Urban Growth and Form with Spatial Entropy
• Complexity in patterns of racial segregation
• Modelling urban networks using Variational Autoencoders
• Spatial Dynamics of Urban Growth Based on Entropy and Fractal Dimension
• Multifractal scaling analyses of the spatial diffusion pattern of COVID-19 pandemic in Chinese mainland
• Hub-collision avoidance and leaf-node options algorithm for fractal dimension and renormalization of complex networks
• Fractal Patterns in Spatial Distribution of Population by Age Group