arXiv physics/05112002005-11-23physics.soc-phcond-mat.stat-mech

Random walk, cluster growth, and the morphology of urban conglomerations

M. Pica Ciamarra, A. Coniglio

备注：: Physica A. To appear

英文摘要：

We propose a new model of cluster growth according to which the probability that a new unit is placed in a point at a distance $r$ from the city center is a Gaussian with mean equal to the cluster radius and variance proportional to the mean, modulated by the local density $ρ(r)$. The model is analytically solvable in $d=2$ dimensions, where the density profile varies as a complementary error function. The model reproduces experimental observations relative to the morphology of cities, determined via an original analysis of digital maps with a very high spatial resolution, and helps understanding the emergence of vehicular traffic.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

阅读原文

阅读 PDF ↗

arXiv 页面 ↗HTML 原文 ↗

本文内容

英文摘要相关论文

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

继续探索

相关论文

Spatial Point Pattern and Urban Morphology: Perspectives from Entropy, Complexity and Networks

Spatial organisation of physical form of an urban system, or city, both manifests and influences the way its social form functions. Mathematical quantification of the spatial pattern of a city is, therefore, important for understanding various aspects of the system. In this work, a framework to characterise the spatial pattern of urban locations based on the idea of entropy maximisation is proposed. Three spatial length scales in the system with discerning interpretations in terms of the spatial arrangement of the locations are calculated. Using these length scales, two quantities are introduc…

2019-08-14cond-mat.stat-mechphysics.soc-ph

城市形态指标的统计方法：可持续城市形态定量方法综述

Statistical Methodologies for Urban Morphology Indicators: A Comprehensive Review of Quantitative Approaches to Sustainable Urban Form

该研究通过审查89篇文献，构建了包含365个指标的六类城市形态分类法，揭示了空间建模应用不足及区域偏见，呼吁建立标准化框架以促进可持续城市研究。

2025-08-07physics.soc-ph

Spatial Information and the Legibility of Urban Form: Big Data in Urban Morphology

Urban planning and morphology have relied on analytical cartography and visual communication tools for centuries to illustrate spatial patterns, propose designs, compare alternatives, and engage the public. Classic urban form visualizations - from Giambattista Nolli's ichnographic maps of Rome to Allan Jacobs's figure-ground diagrams of city streets - have compressed physical urban complexity into easily comprehensible information artifacts. Today we can enhance these traditional workflows through the Smart Cities paradigm of understanding cities via user-generated content and harvested data i…

2019-09-30physics.soc-ph

Fractal Modeling and Fractal Dimension Description of Urban Morphology

The conventional mathematical methods are based on characteristic length, while urban form has no characteristic length in many aspects. Urban area is a measure of scale dependence, which indicates the scale-free distribution of urban patterns. Thus, the urban description based on characteristic lengths should be replaced by urban characterization based on scaling. Fractal geometry is one powerful tool for scaling analysis of cities. Fractal parameters can be defined by entropy and correlation functions. However, how to understand city fractals is still a pending question. By means of logic de…

2020-09-03physics.soc-ph

The Morphology of Urban Agglomerations for Developing Countries: A Case Study with China

In this article, the relationship between two well-accepted empirical propositions regarding the distribution of population in cities, namely, Gibrat's law and Zipf's law, are rigorously examined using the Chinese census data. Our findings are quite in contrast with the most of the previous studies performed exclusively for developed countries. This motivates us to build a general environment to explain the morphology of urban agglomerations both in developed and developing countries. A dynamic process of job creation generates a particular distribution for the urban agglomerations and introdu…

2010-01-06physics.soc-ph

Logistic Models of Fractal Dimension Growth for Spatio-Temporal Dynamics of Urban Morphology

Urban form and growth can be described with fractal dimension, which is a measurement of space filling of urban evolution. Based on empirical analyses, a discovery is made that the time series of fractal dimension of urban form can be treated as a sigmoid function of time. Among various sigmoid functions, the logistic function is the most probable selection. However, how to use the model of fractal dimension growth to explain and predict urban growth is a pending problem remaining to be solved. This paper is devoted to modeling fractal dimension evolution of different types of cities. A intere…

2016-06-11physics.soc-ph

更多相关论文收起更多论文

Urban transfer entropy across scales

The morphology of urban agglomeration is studied here in the context of information exchange between different spatio-temporal scales. Cities are multidimensional non-linear phenomena, so understanding the relationships and connectivity between scales is important in determining how the interplay of local/regional urban policies may affect the distribution of urban settlements. In order to quantify these relationships, we follow an information theoretic approach using the concept of Transfer Entropy. Our analysis is based on a stochastic urban fractal model, which mimics urban growing settleme…

2015-05-08physics.soc-ph

熵与层次聚类：刻画不同空间文化中城市肌理的形态

Entropy and hierarchical clustering: characterising the morphology of the urban fabric in different spatial cultures

本文提出基于块熵外推估计二维序列香农熵的方法，用于分析不同文化区域的城市空间构型，并通过层次聚类识别城市形态相似性，揭示城市形态与文化身份、历史进程及地理区域的潜在关联。

2021-08-12physics.comp-phphysics.data-anphysics.soc-ph

Integrated canopy, building energy and radiosity model for 3D urban design

We present an integrated, three dimensional, model of urban canopy, building energy and radiosity, for early stage urban designs and test it on four urban morphologies. All sub-models share a common descriptions of the urban morphology, similar to 3D urban design master plans and have simple parameters. The canopy model is a multilayer model, with a new discrete layer approach that does not rely on simplified geometry such as canyon or regular arrays. The building energy model is a simplified RC equivalent model, with no hypotheses on internal zoning or wall composition. We use the CitySim sof…

2014-11-17cs.CYphysics.soc-ph

The Morphology and Circuity of Walkable and Drivable Street Networks

Circuity, the ratio of network distances to straight-line distances, is an important measure of urban street network structure and transportation efficiency. Circuity results from a circulation network's configuration, planning, and underlying terrain. In turn, it impacts how humans use urban space for settlement and travel. Although past research has examined overall street network circuity, researchers have not studied the relative circuity of walkable versus drivable circulation networks. This study uses OpenStreetMap data to explore relative network circuity. We download walkable and driva…

2019-01-31physics.soc-ph

基于实地测量与机器学习的新加坡校园气温与城市形态参数经验模型

Empirical model of campus air temperature and urban morphology parameters based on field measurement and machine learning in Singapore

本研究在新加坡国立大学校园布设气象站并提取城市形态参数，比较五种回归模型预测室外气温，发现绿化对缓解昼夜热岛效应作用关键，且随机森林预测性能最优。

2019-11-20physics.soc-phstat.AP

Morphology of travel routes and the organization of cities

The city is a complex system that evolves through its inherent social and economic interactions. Mediating the movements of people and resources, urban street networks offer a spatial footprint of these activities; consequently their structural characteristics have been of great interest in the literature. In comparison, relatively limited attention has been devoted to the interplay between street structure and its functional usage, i.e., the movement patterns of people and resources. To address this, we study the shape of 472,040 spatiotemporally optimized travel routes in the 92 most populat…

2017-09-25physics.soc-ph

An Urban Morphogenesis Model Capturing Interactions between Networks and Territories

Urban systems are composed by complex couplings of several components, and more particularly between the built environment and transportation networks. Their interaction is involved in the emergence of the urban form. We propose in this chapter to introduce an approach to urban morphology grasping both aspects and their interaction. We first define complementary measures, study their empirical values and their spatial correlations on European territorial systems. The behavior of indicators and correlations suggest underlying non-stationary and multi-scalar processes. We then introduce a genera…

2018-11-30physics.soc-ph

街道网络形态的光谱指纹：一种城市结构的尺度调整图拉普拉斯描述符

Spectral Fingerprints of Street-Network Morphology: A Size-Adjusted Graph-Laplacian Descriptor of Urban Fabric

University of the Arts: Poznań（波兹南艺术大学）

该研究提出尺度调整的图拉普拉斯描述符，通过光谱指纹编码街道网络形态，推导网格指数等读数，可区分形态类型并关联活动多样性，补充空间句法且适配图学习。

2026-08-18cs.SIphysics.soc-ph

Cities and Regions in Britain through hierarchical percolation

Urban systems present hierarchical structures at many different scales. These are observed as administrative regional delimitations which are the outcome of complex geographical, political and historical processes which leave almost indelible footprints on infrastructure such as the street network. In this work we uncover a set of hierarchies in Britain at different scales using percolation theory on the street network and on its intersections which are the primary points of interaction and urban agglomeration. At the larger scales, the observed hierarchical structures can be interpreted as re…

2016-04-18physics.soc-ph