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The origin of allometric scaling of metabolic rate is a long-standing question in biology. Several models have been proposed for explaining the origin; however, they have advantages and disadvantages. In particular, previous models only…

Other Quantitative Biology · Quantitative Biology 2015-02-23 Kazuhiro Takemoto

Power law distributions of macroscopic observables are ubiquitous in both the natural and social sciences. They are indicative of correlated, cooperative phenomena between groups of interacting agents at the microscopic level. In this paper…

Condensed Matter · Physics 2009-11-07 P Ormerod , C Mounfield

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

We investigate the hierarchical structures of countries based on electricity consumption and economic growth by using the real amounts of their consumption over a certain time period. We use of electricity consumption data to detect the…

Statistical Finance · Quantitative Finance 2014-06-30 Ersin Kantar , Alper Aslan , Bayram Deviren , Mustafa Keskin

An allometric height-mass exponent $\gamma$ gives an approximative power-law relation $< M> \propto H^\gamma$ between the average mass $< M>$ and the height $H$, for a sample of individuals. The individuals in the present study are humans…

Physics and Society · Physics 2013-04-08 Su Do Yi , Beom Jun Kim , Petter Minnhagen

Scale invariance property in the global geometry of Earth may lead to a coupled interactive behaviour between various components of the climate system. One of the most interesting correlations exists between spatial statistics of the global…

Atmospheric and Oceanic Physics · Physics 2016-09-29 Bijan Fallah , Abbas Ali Saberi , Sahar Sodoudi

We study the connection between urban scaling, fundamental allometry (between city population and city area), and per capita vs.\ population density scaling. From simple analytical derivations we obtain the relation between the 3 involved…

Physics and Society · Physics 2016-09-06 Diego Rybski

A general simple theory for the interspecific allometric scaling is developed in the $d+1$-dimensional space ($d$ biological lengths and a physiological time) of metabolic states of organisms. It is assumed that natural selection shaped the…

Biological Physics · Physics 2007-10-04 Jafferson K. L. da Silva , Lauro A. Barbosa , Paulo Roberto Silva

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

Recently humanity has just crossed an important landmark in its history with the majority of people now living in large cities. This population concentration is capable of boosting the growth of positive indicators such as innovation, the…

Physics and Society · Physics 2018-11-19 Carlos Caminha

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

A longstanding puzzle in urban science is whether there's an intrinsic match between human populations and the mass of their built environments. Previous findings have revealed various urban properties scaling nonlinearly with population,…

Physics and Society · Physics 2025-08-11 Kangning Huang , Mingzhen Lu

We investigate the socioeconomic urban scaling behavior in Denmark, Germany, and the Netherlands. In the case of Denmark we examine the scaling of larger cities, municipalities within the Copenhagen agglomeration, and municipalities in…

Physics and Society · Physics 2019-03-08 Anthony F. J. van Raan

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

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

We propose a bare-bones stochastic model that takes into account both the geographical distribution of people within a country and their complex network of connections. The model, which is designed to give rise to a scale-free network of…

Physics and Society · Physics 2014-02-04 Gerald F. Frasco , Jie Sun , Hernan D. Rozenfeld , Daniel ben-Avraham

In population dynamics, mathematical models often contain too many parameters to be easily testable. A way to reliably estimate parameters for a broad range of systems would help us obtain clearer predictions from theory. In this paper, we…

Biological Physics · Physics 2019-05-08 Andreas Eilersen , Kim Sneppen

We investigate at the subscale of the neighborhoods of a highly populated city the incidence of property crimes in terms of both the resident and the floating population. Our results show that a relevant allometric relation could only be…

There are many benefits and costs that come from people and firms clustering together in space. Agglomeration economies, in particular, are the manifestation of centripetal forces that make larger cities disproportionately more wealthy than…

Physics and Society · Physics 2024-04-23 Andres Gomez-Lievano , Michail Fragkias

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