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This chapter examines the possibility to analyze and compare human activities in an urban environment based on the detection of mobile phone usage patterns. Thanks to an unprecedented collection of counter data recording the number of…

Physics and Society · Physics 2014-06-18 S. Grauwin , S. Sobolevsky , S. Moritz , I. Gódor , C. Ratti

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

Growth patterns of complex systems predict how they change in sizes, numbers, masses, etc. Understanding growth is important, especially for many biological, ecological, urban, and socioeconomic systems. One noteworthy growth behavior is…

Physics and Society · Physics 2022-06-07 Jinkui Zhao

Motivated by empirical evidence on the interplay between geography, population density and societal interaction, we propose a generative process for the evolution of social structure in cities. Our analytical and simulation results predict…

Physics and Society · Physics 2013-06-12 Wei Pan , Gourab Ghoshal , Coco Krumme , Manuel Cebrian , Alex Pentland

Urban population scaling of resource use, creativity metrics, and human behaviors has been widely studied. These studies have not looked in detail at the full range of human environments which represent a continuum from the most rural to…

Physics and Society · Physics 2016-02-19 Quentin S. Hanley , Dan Lewis , Haroldo V. Ribeiro

The growth of cities has traditionally been studied from a population perspective, while urban expansion-its spatial growth-has often been approached qualitatively. However, characterizing and modeling this spatial expansion is crucial,…

Physics and Society · Physics 2026-03-31 Ulysse Marquis , Marc Barthelemy

The amount of data that is being gathered about cities is increasing in size and specificity. However, despite this wealth of information, we still have little understanding of what really drives the processes behind urbanisation. In this…

Physics and Society · Physics 2015-11-30 Rémi Louf

One of the most celebrated findings in complex systems in the last decade is that different indexes y (e.g., patents) scale nonlinearly with the population~x of the cities in which they appear, i.e., $y\sim x^\beta, \beta \neq 1$. More…

Physics and Society · Physics 2016-07-20 J. C. Leitao , J. M. Miotto , M. Gerlach , E. G. Altmann

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

The interaction between cities and their respective green regions corresponds to an interesting issue that has received growing attention over the last decades. These relationships have multiple natures, ranging from providing habitat for…

The shape of buildings plays a critical role in the energy efficiency, lifestyles, land use and infrastructure systems of cities. Thus, as most of the world's cities continue to grow and develop, understanding the interplay between the…

Physics and Society · Physics 2015-12-04 Markus Schläpfer , Joey Lee , Luís M. A. Bettencourt

Urban outputs often scale superlinearly with city population. A difficulty in understanding the mechanism of this phenomenon is that different outputs differ considerably in their scaling behaviors. Here, we formulate a physics-based model…

Physics and Society · Physics 2019-09-25 Vicky Chuqiao Yang , Andrew V. Papachristos , Daniel M. Abrams

Urban areas with larger and more connected populations offer an auspicious environment for contagion processes such as the spread of pathogens. Empirical evidence reveals a systematic increase in the rates of certain sexually transmitted…

Physics and Society · Physics 2018-09-18 Oscar Patterson-Lomba , Andres Gomez-Lievano

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

The rank-size distribution of cities follows Zipf's law, and the Zipf scaling exponent often tends to a constant 1. This seems to be a general rule. However, a recent numerical experiment shows that there exists a contradiction between the…

Physics and Society · Physics 2020-12-29 Yanguang Chen

We propose and test a model that describes the morphology of cities, the scaling of the urban perimeter of individual cities, and the area distribution of systems of cities. The model is also consistent with observable urban growth…

Disordered Systems and Neural Networks · Physics 2009-10-31 Hernan A. Makse , Jose S. Andrade , Michael Batty , Shlomo Havlin , H. Eugene Stanley

While the fat tailed jump size and the waiting time distributions characterizing individual human trajectories strongly suggest the relevance of the continuous time random walk (CTRW) models of human mobility, no one seriously believes that…

Disordered Systems and Neural Networks · Physics 2015-03-17 Chaoming Song , Tal Koren , Pu Wang , Albert-László Barabási

This paper attempts to create a first comprehensive analysis of the integrated characteristics of contemporary Indian cities, using scaling and geographic analysis over a set of diverse indicators. We use data at the level of Urban…

Physics and Society · Physics 2019-09-11 Anand Sahasranaman , Luís M. A. Bettencourt

This study leverages large-scale travel surveys for over 200,000 residents across Boston, Chicago, Hong Kong, London, and Sao Paulo. With rich individual-level data, we make systematic comparisons and reveal patterns in social mixing, which…

Artificial Intelligence · Computer Science 2026-04-15 Z. Fan , B. P. Y. Loo , F. Duarte , C. Ratti , E. Moro

Understanding urban mobility requires models that capture how people interact with and navigate the built environment. We present a scalable, generalizable agent-based framework in which daily schedules emerge from the interplay between…

Physics and Society · Physics 2026-01-30 Sandro M. Reia , Henrique F. de Arruda , Shiyang Ruan , Taylor Anderson , Hamdi Kavak , Dieter Pfoser