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We report on a quantitative analysis of relationships between the number of homicides, population size and other ten urban metrics. By using data from Brazilian cities, we show that well defined average scaling laws with the population size…

Physics and Society · Physics 2013-09-26 Luiz G. A. Alves , Haroldo V. Ribeiro , Ervin K. Lenzi , Renio S. Mendes

The current science of cities can provide a useful foundation for future urban policies, provided that these proposals have been validated by correct observations of the diversity of situations in the world. However, international…

Physics and Society · Physics 2020-05-21 Juste Raimbault , Eric Denis , Denise Pumain

In the last years, researchers have realized the difficulties of fitting power-law distributions properly. These difficulties are higher in Zipf's systems, due to the discreteness of the variables and to the existence of two representations…

Data Analysis, Statistics and Probability · Physics 2022-11-29 Alvaro Corral , Isabel Serra , Ramon Ferrer-i-Cancho

Urbanization has been the dominant demographic trend in the entire world, during the last half century. Rural to urban migration, international migration, and the re-classification or expansion of existing city boundaries have been among…

Physics and Society · Physics 2013-12-19 Philippe Blanchard , Dimitri Volchenkov

Urban scaling laws reveal how cities evolve as their populations grow, yet the role of street network accessibility in this process remains underexplored. We analyze over 5,000 Brazilian cities to establish a scaling law linking average…

Physics and Society · Physics 2025-02-19 R. L. Fagundes , G. G. Piva , A. S. Mata , F. L. Ribeiro

Because of increasing global urbanization and its immediate consequences, including changes in patterns of food demand, circulation and land use, the next century will witness a major increase in the extent of paved roads built worldwide.…

Physics and Society · Physics 2017-10-13 Emanuele Strano , Andrea Giometto , Saray Shai , Enrico Bertuzzo , Peter J. Mucha , Andrea Rinaldo

Zipf's law in language lacks a definitive origin, debated across fields. This study explains Zipf-like behavior using geometric mechanisms without linguistic elements. The Full Combinatorial Word Model (FCWM) forms words from a finite…

Methodology · Statistics 2025-11-27 Vladimir Berman

Combining global gridded population and fossil fuel based CO2 emission data at 1km scale, we investigate the spatial origin of CO2 emissions in relation to the population distribution within countries. We depict the correlations between…

Physics and Society · Physics 2018-10-03 Bin Zhou , Stephan Thies , Ramana Gudipudi , Matthias K. B. Lüdeke , Jürgen P. Kropp , Diego Rybski

City size distributions are known to be well approximated by power laws across a wide range of countries. But such distributions are also meaningful at other spatial scales, such as within certain regions of a country. Using data from…

General Economics · Economics 2019-07-30 Tomoya Mori , Tony E. Smith , Wen-Tai Hsu

In this commentary we discuss the validity of scaling laws and their relevance for understanding urban systems and helping policy makers. We show how the recent controversy about the scaling of CO2 transport-related emissions with…

Physics and Society · Physics 2014-10-21 Rémi Louf , Marc Barthelemy

The distribution of living languages is investigated and scaling relations are found for the diversity of languages as a function of the country area and population. These results are compared with data from Ecology and from computer…

Physics and Society · Physics 2009-11-11 M. A. F. Gomes , G. L. Vasconcelos , I. J. Tsang , I. R. Tsang

Using a geographical scale-free network to describe relations between people in a city, we explain both superlinear and sublinear allometric scaling of urban indicators that quantify activities or performances of the city. The urban…

Physics and Society · Physics 2015-06-18 K. Yakubo , S. Saijo , D. Korošak

We introduce a predictive algorithm for the smart growth of cities with populations upward of 100,000, allowing for extensive simulations of growth plans and their effects upon an urban populous. A smart growth metric is calculated to…

Physics and Society · Physics 2017-12-01 James Flamino , Alexander Norman , Madison Wyatt

Although the average population density of a city is an extremely simple indicator, it is often used as a determinant factor for describing various aspects of urban phenomena. On the other hand, a plethora of different measures that aim at…

Physics and Society · Physics 2018-04-04 Valerio Volpati , Marc Barthelemy

During the last years, the new science of municipalities has been established as a fertile quantitative approach to systematically understand the urban phenomena. One of its main pillars is the proposition that urban systems display…

Geographical research was successfully quantified through the quantitative revolution of geography. However, the succeeding theorization of geography encountered insurmountable difficulties. The largest obstacle of geography's theorization…

Physics and Society · Physics 2020-01-29 Yanguang Chen

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…

Many socioeconomic studies have been carried out to explain the phenomenon of gentrification. Although results of these works shed light on the process around this phenomenon, a perspective which focuses on the relationship between city…

Physics and Society · Physics 2014-11-13 Alessandro Venerandi , Mattia Zanella , Ombretta Romice , Sergio Porta

Quantifying urban areas is crucial for addressing associated urban issues such as environmental and sustainable problems. Remote sensing data, especially the nighttime light images, have been widely used to delineate urbanized areas across…

Physics and Society · Physics 2021-01-26 Wenpu Cao , Lei Dong , Lun Wu , Yu Liu

We perform a quantitative analysis of extensive chess databases and show that the frequencies of opening moves are distributed according to a power-law with an exponent that increases linearly with the game depth, whereas the pooled…

Physics and Society · Physics 2009-11-18 B. Blasius , R. Toenjes
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