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相关论文: Allometric Scaling of Countries

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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…

物理与社会 · 物理学 2021-01-26 Lei Dong , Zhou Huang , Jiang Zhang , Yu Liu

Cities are often compared through scaling laws, usually expressed as power-law relations between population size and aggregate urban quantities related to infrastructure, socioeconomic activity, or environmental impacts. These laws are…

物理与社会 · 物理学 2026-05-19 Ulysse Marquis , Marc Barthelemy

We study how urban quality evolves as a result of carbon dioxide emissions as urban agglomerations grow. We employ a bottom-up approach combining two unprecedented microscopic data on population and carbon dioxide emissions in the…

物理与社会 · 物理学 2014-09-15 E. A. Oliveira , J. S. Andrade , H. A. Makse

Many aggregate distributions of urban activities such as city sizes reveal scaling but hardly any work exists on the properties of spatial distributions within individual cities, notwithstanding considerable knowledge about their fractal…

物理与社会 · 物理学 2009-09-29 Michael Batty , Rui Carvalho , Andy Hudson-Smith , Richard Milton , Duncan Smith , Philip Steadman

The relationships between urban area and population size have been empirically demonstrated to follow the scaling law of allometric growth. This allometric scaling is based on exponential growth of city size and can be termed "exponential…

物理与社会 · 物理学 2018-12-19 Yanguang Chen

Urban scaling laws relate socio-economic, behavioral, and physical variables to the population size of cities and allow for a new paradigm of city planning, and an understanding of urban resilience and economies. Independently of culture…

物理与社会 · 物理学 2019-08-21 Carlos Molinero , Stefan Thurner

Scaling of geographic space refers to the fact that for a large geographic area its small constituents or units are much more common than the large ones. This paper develops a novel perspective to the scaling of geographic space using large…

数据分析、统计与概率 · 物理学 2013-08-08 Bin Jiang , Xintao Liu

Allometric scaling can reflect underlying mechanisms, dynamics and structures in complex systems; examples include typical scaling laws in biology, ecology and urban development. In this work, we study allometric scaling in scientific…

物理与社会 · 物理学 2017-03-10 Hongguang Dong , Menghui Li , Ru Liu , Chensheng Wu , Jinshan Wu

The size of cities is known to play a fundamental role in social and economic life. Yet, its relation to the structure of the underlying network of human interactions has not been investigated empirically in detail. In this paper, we map…

Urban scaling and Zipf's law are two fundamental paradigms for the science of cities. These laws have mostly been investigated independently and are often perceived as disassociated matters. Here we present a large scale investigation about…

物理与社会 · 物理学 2022-11-18 Haroldo V. Ribeiro , Milena Oehlers , Ana I. Moreno-Monroy , Jurgen P. Kropp , Diego Rybski

Previous works have shown the universality of allometric scalings under density and total value at city level, but our understanding about the size effects of regions on them is still poor. Here, we revisit the scaling relations between…

物理与社会 · 物理学 2014-12-05 Yuhao Qin , Liang Gao , Lida Xu , Zi-You Gao

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…

应用统计 · 统计学 2015-03-19 Cosma Rohilla Shalizi

The law of allometric growth is one of basic rules for understanding urban evolution. The general form of this law is allometric scaling law. However, the deep meaning and underlying rationale of the scaling exponents remain to be brought…

物理与社会 · 物理学 2020-04-28 Yanguang Chen

Many outputs of cities scale in universal ways, including infrastructure, crime, and economic activity. Through a mathematical model, this study investigates the interplay between such scaling laws in human organization and governmental…

物理与社会 · 物理学 2025-06-05 Bryce Morsky

\abstract{Urban scaling theories posit that larger cities exhibit disproportionately higher levels of socioeconomic activity and human interactions. Yet, evidence from developing contexts (especially those marked by stark socioeconomic…

Research has highlighted relationships between size and scaled growth across a large variety of biological and social organisms, ranging from bacteria, through animals and plants, to cities an companies. Yet, heretofore, identifying a…

综合经济学 · 经济学 2018-11-01 Ore Koren , Laura Mann

Recent researches on complex systems highlighted the so-called super-linear growth phenomenon. As the system size $P$ measured as population in cities or active users in online communities increases, the total activities $X$ measured as GDP…

物理与社会 · 物理学 2012-12-21 Jiang Zhang

We undertake an exploration of the economic income (Gross Domestic Product, GDP) of Indian districts and cities based on scaling analyses of the dependence of these quantities on associated population size. Scaling analysis provides a…

物理与社会 · 物理学 2020-03-25 Anand Sahasranaman , Luis M. A. Bettencourt

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,…

物理与社会 · 物理学 2012-12-05 J. H. Qian , C. H. Yang , D. D. Han , Y. G. Ma

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…

物理与社会 · 物理学 2015-06-18 K. Yakubo , S. Saijo , D. Korošak
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