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Urban scaling, the superlinear increase of social and economic measures with increasing population, is an ubiquitous and well-researched phenomenon. This article is focused on socio-economic performance scaling, which could possibly be…

Physics and Society · Physics 2022-01-19 Pieter P. Tordoir , Anthony F. J. van Raan

For decades, urban development was studied on two-dimensional maps, largely ignoring the third dimension. However, building height is crucial because it dramatically potentiates the interior space of cities. Here, using a newly released…

Physics and Society · Physics 2025-08-29 Peiran Zhang , Liang Gao , Fabiano L. Ribeiro , Bin Jia , Ziyou Gao , Diego Rybski

The prevalence of many urban phenomena changes systematically with population size. We propose a theory that unifies models of economic complexity and cultural evolution to derive urban scaling. The theory accounts for the difference in…

Physics and Society · Physics 2016-12-28 Andres Gomez-Lievano , Oscar Patterson-Lomba , Ricardo Hausmann

The interaction of all mobile species with their environment hinges on their movement patterns: the places they visit and how frequently they go there. In human society, where the prevalent form of cohabitation is in cities, the highly…

Physics and Society · Physics 2020-02-17 Markus Schläpfer , Michael Szell , Hadrien Salat , Carlo Ratti , Geoffrey B. West

The distribution of facilities is closely related to our social economic activities. Recent studies have reported a scaling relation between population and facility density with the exponent depending on the type of facility. In this paper,…

Physics and Society · Physics 2012-12-05 J. H. Qian , C. H. Yang , D. D. Han , Y. G. Ma

City-size distributions follow an approximate power law in various countries despite high volatility in relative city sizes over time. Our empirical evidence for the United States and Japan indicates that the scaling law stems from a…

General Economics · Economics 2023-04-25 Tomoya Mori , Takashi Akamatsu , Yuki Takayama , Minoru Osawa

Urban scaling and Zipf's law are two fundamental paradigms for the science of cities. These laws have mostly been investigated independently and are often perceived as disassociated matters. Here we present a large scale investigation about…

Physics and Society · Physics 2022-11-18 Haroldo V. Ribeiro , Milena Oehlers , Ana I. Moreno-Monroy , Jurgen P. Kropp , Diego Rybski

The city has proven to be the most successful form of human agglomeration and provides wide employment opportunities for its dwellers. As advances in robotics and artificial intelligence revive concerns about the impact of automation on…

Computers and Society · Computer Science 2018-02-08 Morgan R. Frank , Lijun Sun , Manuel Cebrian , Hyejin Youn , Iyad Rahwan

Cities are often compared through scaling laws, usually expressed as power-law relations between population size and aggregate urban quantities related to infrastructure, socioeconomic activity, or environmental impacts. These laws are…

Physics and Society · Physics 2026-05-19 Ulysse Marquis , Marc Barthelemy

Understanding how size influences the internal characteristics of a system is a crucial concern across various fields. Concepts like scale invariance, universalities, and fractals are fundamental to this inquiry and find application in…

Physics and Society · Physics 2024-04-04 Fabiano L. Ribeiro , Vinicius M. Netto

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

Recent advances in the urban science make broad use of the notion of scaling. We focus here on the important scaling relationship between the gross metropolitan product (GMP) of a city and its population (pop). It has been demonstrated that…

Physics and Society · Physics 2016-09-28 Emanuele Strano , Vishal Sood

As huge complex systems consisting of geographic regions, natural resources, people and economic entities, countries follow the allometric scaling law which is ubiquitous in ecological, urban systems. We systematically investigated the…

Physics and Society · Physics 2011-01-07 Jiang Zhang , Tongkui Yu

Urban areas serve as melting pots of people with diverse socioeconomic backgrounds, who may not only be segregated but have characteristic mobility patterns in the city. While mobility is driven by individual needs and preferences, the…

Physics and Society · Physics 2024-01-26 Rafiazka Millanida Hilman , Gerardo Iñiguez , Márton Karsai

\abstract{Urban scaling theories posit that larger cities exhibit disproportionately higher levels of socioeconomic activity and human interactions. Yet, evidence from developing contexts (especially those marked by stark socioeconomic…

Two measurements are employed to quantitatively investigate the scaling properties of the spatial distribution of urban facilities, the K function by number counting and the variance-mean relationship with the method of expanding bins. The…

Physics and Society · Physics 2014-12-24 Liang Wu

A model is presented of the market dynamics to emphasis the effects of increasing returns to scale, including the description of the born and death of the adaptive producers. The evolution of market structure and its behavior with the…

Statistical Mechanics · Physics 2008-12-02 Ying Fan , Menghui Li , Zengru Di

Understanding and potentially predicting or even controlling urban labour markets represents a great challenge for workers and policy makers alike. Cities are effective engines of economic growth and prosperity and incubate complex dynamics…

Physics and Society · Physics 2022-02-28 Xiangnan Feng , Alex Rutherford

Great cities connect people; failed cities isolate people. Despite the fundamental importance of physical, face-to-face social-ties in the functioning of cities, these connectivity networks are not explicitly observed in their entirety.…

Physics and Society · Physics 2015-07-21 Aaron Sim , Sophia N Yaliraki , Mauricio Barahona , Michael P H Stumpf

We calculate measures of economic complexity for US metropolitan areas for the years 2007-2015 based on industry employment data. We show that the concept of economic complexity translates well from the cross-country to the regional…

General Economics · Economics 2021-04-14 Benedikt S. L. Fritz , Robert A. Manduca