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We study the scaling of (i) numbers of workers and aggregate incomes by occupational categories against city size, and (ii) total incomes against numbers of workers in different occupations, across the functional metropolitan areas of…

Physics and Society · Physics 2019-10-17 Somwrita Sarkar , Elsa Arcaute , Erez Hatna , Tooran Alizadeh , Glen Searle , Michael Batty

Urban outputs, from economy to innovation, are known to grow as a power of a city's population. But, since large cities tend to be central in transportation and communication networks, the effects attributed to city size may be confounded…

Physics and Society · Physics 2024-06-24 Xiaofan Liang , César A. Hidalgo , Pierre-Alexandre Balland , Siqi Zheng , Jianghao Wang

We propose hypotheses describing the empirical finding of an association between the exponents of urban GDP scaling and Zipf's law for cities. These hypotheses represent various combinations of directional or reciprocal causal links between…

Physics and Society · Physics 2021-07-27 Fabiano L. Ribeiro , Jose Lobo , Diego Rybski

Given the rapid recent trend of urbanization, a better understanding of how urban infrastructure mediates socioeconomic interactions and economic systems is of vital importance. While the accessibility of location-enabled devices as well as…

While great emphasis has been placed on the role of social interactions as driver of innovation growth, very few empirical studies have explicitly investigated the impact of social network structures on the innovation performance of cities.…

Physics and Society · Physics 2019-11-04 Moreno Bonaventura , Luca Maria Aiello , Daniele Quercia , Vito Latora

In several recent publications, Bettencourt, West and collaborators claim that properties of cities such as gross economic production, personal income, numbers of patents filed, number of crimes committed, etc., show super-linear…

Applications · Statistics 2015-03-19 Cosma Rohilla Shalizi

Urban socioeconomic modeling has predominantly concentrated on extensive location and neighborhood-based features, relying on the localized population footprint. However, networks in urban systems are common, and many urban modeling methods…

Machine Learning · Computer Science 2025-07-08 Devashish Khulbe , Alexander Belyi , Stanislav Sobolevsky

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

We present empirical evidence that land values are scale-free and introduce a network model that reproduces the observations. The network approach to urban modelling is based on the assumption that the market dynamics that generates land…

Disordered Systems and Neural Networks · Physics 2009-11-10 Claes Andersson , Alexander Hellervik , Kristian Lindgren , Anders Hagson , Jonas Tornberg

Understanding cities is central to addressing major global challenges from climate and health to economic resilience. Although increasingly perceived as fundamental socio-economic units, the detailed fabric of urban economic activities is…

Superlinear scaling in cities, which appears in sociological quantities such as economic productivity and creative output relative to urban population size, has been observed but not been given a satisfactory theoretical explanation. Here…

Physics and Society · Physics 2009-11-13 Samuel Arbesman , Jon M. Kleinberg , Steven H. Strogatz

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

There is strong expectation that cities, across time, culture and level of development, share much in common in terms of their form and function. Recently, attempts to formalize mathematically these expectations have led to the hypothesis…

Physics and Society · Physics 2013-01-28 Luis M. A. Bettencourt , Jose Lobo , Hyejin Youn

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

Complex networks are commonly used to explore human behavior. However, previous studies largely overlooked the geographical and economic factors embedded in collective attention. To address this, we construct attention networks from…

Physics and Society · Physics 2025-08-13 Ke-ke Shang , Jiangli Zhu , Junfan Yi , Liwen Zhang , Junjie Yang , Ge Guo , Zixuan Jin , Michael Small

The recent availability of data for cities has allowed scientists to exhibit scalings which present themselves in the form of a power-law dependence with population of various socio-economical and structural indicators. We propose here a…

Physics and Society · Physics 2014-07-18 Rémi Louf , Marc Barthelemy

The emergence of interconnected urban networks is a crucial feature of globalisation processes. Understanding the drivers behind the growth of such networks - in particular urban firm networks -, is essential for the economic resilience of…

Physics and Society · Physics 2020-09-14 Juste Raimbault , Natalia Zdanowska , Elsa Arcaute

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

Urban scaling analysis, the study of how aggregated urban features vary with the population of an urban area, provides a promising framework for discovering commonalities across cities and uncovering dynamics shared by cities across time…

Homophily and heterophobia, the tendency for people with similar characteristics to preferentially interact with (or avoid) each other are pervasive in human social networks. Here, we develop an extension of the mathematical theory of urban…

Populations and Evolution · Quantitative Biology 2022-12-07 Andrew J. Stier , Sina Sajjadi , Luıs M. A. Bettencourt , Fariba Karimi , Marc G. Berman