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Urban areas play an unprecedented role in potentially mitigating climate change and supporting sustainable development. In light of the rapid urbanisation in many parts on the globe, it is crucial to understand the relationship between…

Physics and Society · Physics 2018-03-19 Ramana Gudipudi , Diego Rybski , Matthias K. B. Lüdeke , Bin Zhou , Zhu Liu , Jürgen P. Kropp

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

Despite the rapid growth of cities in the past century, our quantitative, in-depth understanding of how cities grow remains limited due to a consistent lack of historical data. Thus, the scaling laws between a city's features and its…

Physics and Society · Physics 2024-12-18 Keith Burghardt , Johannes H. Uhl , Kristina Lerman , Stefan Leyk

Recent studies of urban scaling show that important socioeconomic city characteristics such as wealth and innovation capacity exhibit a nonlinear, particularly a power law scaling with population size. These nonlinear effects are common to…

Adaptation and Self-Organizing Systems · Physics 2015-06-12 Anthony F. J. van Raan

Rapid urban population growth drives car travel demand, increasing transport carbon emissions and posing a critical challenge to sustainable development. Although existing studies have demonstrated that eco-routing can reduce individual…

Physics and Society · Physics 2026-03-05 Zhiheng Shi , Xiaohan Xu , Wei Ma , Kairui Feng , Bin He

Developing a scientific understanding of cities in a fast urbanizing world is essential for planning sustainable urban systems. Recently, it was shown that income and wealth creation follow increasing returns, scaling superlinearly with…

Physics and Society · Physics 2015-09-04 Somwrita Sarkar , Peter Phibbs , Roderick Simpson , Sachin Wasnik

The distribution of the population of cities has attracted a great deal of attention, in part because it sharply constrains models of local growth. However, to this day, there is no consensus on the distribution below the very upper tail,…

Physics and Society · Physics 2016-03-29 Hernan Rozenfeld , Diego Rybski , Xavier Gabaix , Hernan A. Makse

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

The production of waste as a consequence of human activities is one of the most fundamental challenges facing our society and global ecological systems. Waste generation is rapidly increasing, with corresponding shifts in the structure of…

Physics and Society · Physics 2022-08-18 Mingzhen Lu , Chuanbin Zhou , Chenghao Wang , Robert B. Jackson , Christopher P. Kempes

More than a half of world population is now living in cities and this number is expected to be two-thirds by 2050. Fostered by the relevancy of a scientific characterization of cities and for the availability of an unprecedented amount of…

Physics and Society · Physics 2015-09-21 Luiz G. A. Alves , Renio S. Mendes , Ervin K. Lenzi , Haroldo V. Ribeiro

Human development has far-reaching impacts on the surface of the globe. The transformation of natural land cover occurs in different forms and urban growth is one of the most eminent transformative processes. We analyze global land cover…

Urbanization promotes economy, mobility, access and availability of resources, but on the other hand, generates higher levels of pollution, violence, crime, and mental distress. The health consequences of the agglomeration of people living…

Physics and Society · Physics 2021-02-09 Luis E. C. Rocha , Anna E. Thorson , Renaud Lambiotte

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

Understanding quantitative relationships between urban elements is crucial for a wide range of applications. The observation at the macroscopic level demonstrates that the aggregated urban quantities (e.g., gross domestic product) scale…

Physics and Society · Physics 2021-01-26 Lei Dong , Zhou Huang , Jiang Zhang , Yu Liu

Cities can be characterised and modelled through different urban measures. Consistency within these observables is crucial in order to advance towards a science of cities. Bettencourt et al have proposed that many of these urban measures…

Physics and Society · Physics 2015-12-22 Elsa Arcaute , Erez Hatna , Peter Ferguson , Hyejin Youn , Anders Johansson , Michael Batty

Cities are some of the most intricate and advanced creations of humanity. Most objects in cities are perfectly synchronised to coordinate activities such as jobs, education, transportation, entertainment, and waste management. Although each…

Physics and Society · Physics 2026-04-01 Rafael Prieto-Curiel

Global sustainability relies on our capacity of understanding and guiding urban systems, and their metabolism, in an adequate way. It has been proposed that bigger and denser cities are more resource-efficient than smaller ones because they…

Physics and Society · Physics 2020-01-28 Joao Meirelles , Fabiano Ribeiro , Gabriel Cury , Claudia Binder

Urban morphology has presented significant intellectual challenges to mathematicians and physicists ever since the eighteenth century, when Euler first explored the famous Konigsberg bridges problem. Many important regularities and scaling…

Physics and Society · Physics 2015-10-28 A. Paolo Masucci , Elsa Arcaute , Erez Hatna , Kiril Stanilov , Michael Batty

Given the importance of urban sustainability and resilience to the future of our planet, there is a need to better understand the interconnectedness between the social, economic, environmental, and governance outcomes that underline these…

Physics and Society · Physics 2019-04-15 Anand Sahasranaman , Henrik Jeldtoft Jensen

We introduce a model in which city populations grow at rates proportional to the area of their "sphere of influence", where the influence of a city depends on its population (to power \alpha) and distance from city (to power -\beta) and…

Physics and Society · Physics 2012-09-25 David Aldous , Bowen Huang