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Related papers: Spatial pattern and city size distribution

200 papers

Understanding the relationship between population and the built environment is essential for addresing socio-spatial inequalities. While researchers have long theorized these dynamics, empirical analyses remain limited. This study develops…

Computers and Society · Computer Science 2026-03-12 Anna Brazdova , Martin Fleischmann

Human mobility, a pivotal aspect of urban dynamics, displays a profound and multifaceted relationship with urban sustainability. Despite considerable efforts analyzing mobility patterns over decades, the ranking dynamics of urban mobility…

Physics and Society · Physics 2025-03-12 Hao Wang

Commuting is a key mechanism that governs the dynamics of cities. Despite its importance, very little is known of the properties and mechanisms underlying this crucial urban process. Here, we capitalize on $\sim$ 50 million individuals'…

Physics and Society · Physics 2022-04-28 Lei Dong , Paolo Santi , Yu Liu , Siqi Zheng , Carlo Ratti

Empirical evidence suggest that most urban systems experience a transition from a monocentric to a polycentric organisation as they grow and expand. We propose here a stochastic, out-of-equilibrium model of the city which explains the…

Physics and Society · Physics 2015-06-17 Rémi Louf , Marc Barthelemy

Cities and metropolitan areas are major drivers of creativity and innovation in all possible sectors: scientific, technological, social, artistic, etc. The critical concentration and proximity of diverse mindsets and opportunities,…

Physics and Society · Physics 2023-07-07 Matteo Straccamore , Vittorio Loreto , Pietro Gravino

This chapter investigates some mechanisms behind pattern formation driven by competitive-only or repelling interactions, and explores how these patterns are influenced by different types of particle movement. Despite competition and…

Populations and Evolution · Quantitative Biology 2025-03-05 Cristóbal López , Eduardo H. Colombo , Emilio Hernández-García , Ricardo Martinez-Garcia

This paper is mainly devoted to lay an empirical foundation for further research on complex spatial dynamics of two-population interaction. Based on the US population census data, a rural and urban population interaction model is developed.…

Physics and Society · Physics 2016-06-14 Yanguang Chen , Feng Xu

The study of the properties and structure of a city's road network has for many years been the focus of much work, as has the mathematical modelling of the location of its retail activity and of the emergence of clustering in retail…

Physics and Society · Physics 2018-02-07 Duccio Piovani , Carlos Molinero , Alan Wilson

The focused organization theory of social ties proposes that the structure of human social networks can be arranged around extra-network foci, which can include shared physical spaces such as homes, workplaces, restaurants, and so on. Until…

Social and Information Networks · Computer Science 2016-11-18 Chloë Brown , Anastasios Noulas , Cecilia Mascolo , Vincent Blondel

Social networks amplify inequalities due to fundamental mechanisms of social tie formation such as homophily and triadic closure. These forces sharpen social segregation reflected in network fragmentation. Yet, little is known about what…

This paper presents a new perspective of looking at the relation between fractals and chaos by means of cities. Especially, a principle of space filling and spatial replacement is proposed to explain the fractal dimension of urban form. The…

Physics and Society · Physics 2018-12-21 Yanguang Chen

The vast majority of travel takes place within cities. Recently, new data has become available which allows for the discovery of urban mobility patterns which differ from established results about long distance travel. Specifically, the…

Physics and Society · Physics 2014-10-28 Xiao Liang , Jichang Zhao , Li Dong , Ke Xu

Most cities in the US and in the world were organized around car traffic. In particular, large structures such as urban freeways or ring roads were built for reducing car traffic congestion. With the evolution of public transportation,…

Physics and Society · Physics 2023-03-29 Erwan Taillanter , Marc Barthelemy

The relationships between diversity, productivity and scale determine much of the structure and robustness of complex biological and social systems. While arguments for the link between specialization and productivity are common, diversity…

Physics and Society · Physics 2014-06-24 Luís M. A. Bettencourt , Horacio Samaniego , HyeJin Youn

Many outputs of cities scale in universal ways, including infrastructure, crime, and economic activity. Through a mathematical model, this study investigates the interplay between such scaling laws in human organization and governmental…

Physics and Society · Physics 2025-06-05 Bryce Morsky

Urban-induced microclimate variations, such as urban heat islands and air pollution, scale with city size, producing distinctive relations between average climate variables and city-scale quantities (e.g., total population). However, these…

Physics and Society · Physics 2026-05-20 Marc Duran-Sala , Martin Hendrick , Gabriele Manoli

We study the drivers and spatial diffusion of U.S. state population growth using a dynamic spatial model for 49 states, 1965-2017. Methodologically, we recover the spatial network structure from the data, rather than imposing it a priori…

Econometrics · Economics 2026-01-16 Sebastian Kripfganz , Vasilis Sarafidis

Successful innovations achieve large geographical coverage by spreading across settlements and distances. For decades, spatial diffusion has been argued to take place along the urban hierarchy such that the innovation first spreads from…

Physics and Society · Physics 2021-06-23 Eszter Bokányi , Martin Novák , Ákos Jakobi , Balázs Lengyel

Many approaches have dealt with the hypothesis that the environment contain information, mostly focusing on how humans decode information from the environment in visual perception, navigation, and spatial decision-making. A question yet to…

Physics and Society · Physics 2019-10-16 Vinicius M. Netto , Edgardo Brigatti , Caio Cacholas , Vinicius Gomes Aleixo

Zipf's law can be used to describe the rank-size distribution of cities in a region. It was seldom employed to research urban internal structure. In this paper, we demonstrate that the space-filling process within a city follows Zipf's law…

Physics and Society · Physics 2018-12-19 Yanguang Chen , Jiejing Wang