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Related papers: Understanding the mesoscopic scaling patterns with…

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The scaling of urban characteristics with total population has become an important research field since one needs to better understand the challenges of urban densification. Yet urban scaling research is largely disconnected from…

Physics and Society · Physics 2018-01-24 Justin Delloye , Rémi Lemoy , Geoffrey Caruso

A good understanding of cities is crucial to implement urban planning policies leading to social and economic sustainability and an efficient use of resources. While urban concentration has been associated with both positive and negative…

Physics and Society · Physics 2025-09-09 Gaëtan Laziou , Rémi Lemoy

Urban space is highly heterogeneous, with population and human activities concentrating in localized centers. However, the global organization of such intra-urban centers remains poorly understood due to the lack of consistent, comparable…

Physics and Society · Physics 2026-01-21 Shuai Pang , Junlong Zhang , Yu Liu , Lei Dong

Understanding the morphology of an urban system is an important step toward unveiling the dynamical processes of its growth and development. At the foundation of every urban system, transportation system is undeniably a crucial component in…

Physics and Society · Physics 2019-04-23 Hoai Nguyen Huynh , Evgeny Makarov , Erika Fille Legara , Christopher Monterola , Lock Yue Chew

In the last decades, the notion that cities are in a state of equilibrium with a centralised organisation has given place to the viewpoint of cities in disequilibrium and organised from bottom to up. In this perspective, cities are evolving…

Computers and Society · Computer Science 2018-11-05 Marcos Oliveira , Eraldo Ribeiro , Carmelo Bastos-Filho , Ronaldo Menezes

Are there multiple equilibria in the spatial economy? This paper develops a unified framework that integrates systems of cities and regional models to address this question within a general geographic space. A key feature is the endogenous…

Theoretical Economics · Economics 2025-05-01 Gianandrea Lanzara , Matteo Santacesaria

In the past decade, cities have experienced rapid growth, expansion, and changes in their community structure. Many aspects of critical urban infrastructure are closely coupled with the human communities that they serve. Urban communities…

Social and Information Networks · Computer Science 2018-12-12 Weisi Guo , Guillem Mosquera Donate , Stephen Law , Samuel Johnson , Maria Liakata , Alan Wilson

Urban systems often exhibit scale-invariant properties, with power-law distributions observed in various spatial and temporal patterns of human behavior. A prominent example is the distribution of commercial activities and other Points of…

Physics and Society · Physics 2025-09-03 Eleonora Andreotti , Ulysse Marquis , Maurizio napolitano , Riccardo Gallotti

Scaling of geographic space refers to the fact that for a large geographic area its small constituents or units are much more common than the large ones. This paper develops a novel perspective to the scaling of geographic space using large…

Data Analysis, Statistics and Probability · Physics 2013-08-08 Bin Jiang , Xintao Liu

The dynamics and processes of urban morphogenesis are a central issue regarding a long-term sustainability of urban systems. They however imply stakeholders and parameters at multiple temporal and spatial scales simultaneously, leading to…

Physics and Society · Physics 2021-04-01 Juste Raimbault

In this paper we make an attempt to increase our understanding of the urban scaling phenomenon. We investigate how superlinear scaling emerges if a network increases in size and how this scaling depends on the occurrence of elements that…

Physics and Society · Physics 2023-12-06 Anthony F. J. van Raan

Urban scaling theory posits that urban indicators follow power-law relations with population, yet the evolution of these patterns - and the role of regional differences in settings marked by social inequalities and unplanned urbanization -…

Cities play a pivotal role in human development and sustainability, yet studying them presents significant challenges due to the vast scale and complexity of spatial-temporal data. One such challenge is the need to uncover universal urban…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-12-04 Zhenhui Li , Hongwei Zhang , Kan Wu

Uncovering the mechanism behind the scaling law in human trajectories is of fundamental significance in understanding many spatio-temporal phenomena. In combination of the exploration and the preferential returns, we propose a simple…

Physics and Society · Physics 2013-05-24 Xiao-Pu Han , Xiang-Wen Wang , Xiao-Yong Yan , Bing-Hong Wang

The appearance of large geolocated communication datasets has recently increased our understanding of how social networks relate to their physical space. However, many recurrently reported properties, such as the spatial clustering of…

The study of spacetime, and its role in understanding functional systems has received little attention in information science. Recent work, on the origin of universal scaling in cities and biological systems, provides an intriguing insight…

Computers and Society · Computer Science 2016-02-22 Mark Burgess

The science of cities seeks to understand and explain regularities observed in the world's major urban systems. Modelling the population evolution of cities is at the core of this science and of all urban studies. Quantitatively, the most…

Physics and Society · Physics 2021-10-14 Vincent Verbavatz , Marc Barthelemy

Agglomeration economies drive urban growth at different spatial scales by enabling productivity gains, knowledge spillovers, and shared inputs among proximate firms and amenities. To develop a unified science of cities it is thus important…

Physics and Society · Physics 2026-05-12 Jianrui Wu , Baiyue He , Alec Kirkley

Originally motivated by the morphogenesis of bacterial microcolonies, the aim of this article is to explore models through different scales for a spatial population of interacting, growing and dividing particles. We start from a microscopic…

Analysis of PDEs · Mathematics 2025-01-07 Marie Doumic , Sophie Hecht , Marc Hoffmann , Diane Peurichard

Urban development is shaped by historical, geographical, and economic factors, presenting challenges for planners in understanding urban form. This study models commute flows across multiple U.S. cities, uncovering consistent patterns in…

Physics and Society · Physics 2024-11-11 Margarita Mishina , Mingyi He , Venu Garikapati , Stanislav Sobolevsky