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Related papers: How buildings change the fundamental allometry

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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

For decades, urban development was studied on two-dimensional maps, largely ignoring the third dimension. However, building height is crucial because it dramatically potentiates the interior space of cities. Here, using a newly released…

Physics and Society · Physics 2025-08-29 Peiran Zhang , Liang Gao , Fabiano L. Ribeiro , Bin Jia , Ziyou Gao , Diego Rybski

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

A good understanding of cities is crucial to implement urban planning policies leading to social and economic sustainability and an efficient use of resources. While urban concentration has been associated with both positive and negative…

Physics and Society · Physics 2025-09-09 Gaëtan Laziou , Rémi Lemoy

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…

Physics and Society · Physics 2009-09-29 Michael Batty , Rui Carvalho , Andy Hudson-Smith , Richard Milton , Duncan Smith , Philip Steadman

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…

Physics and Society · Physics 2019-08-21 Carlos Molinero , Stefan Thurner

The law of allometric growth originated from biology has been widely used in urban research for a long time. Some conditional research conclusions based on biological phenomena have been erroneously transmitted in the field of urban…

Physics and Society · Physics 2025-02-28 Yanguang Chen

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,…

Physics and Society · Physics 2012-12-05 J. H. Qian , C. H. Yang , D. D. Han , Y. G. Ma

There is strong expectation that cities, across time, culture and level of development, share much in common in terms of their form and function. Recently, attempts to formalize mathematically these expectations have led to the hypothesis…

Physics and Society · Physics 2013-01-28 Luis M. A. Bettencourt , Jose Lobo , Hyejin Youn

As huge complex systems consisting of geographic regions, natural resources, people and economic entities, countries follow the allometric scaling law which is ubiquitous in ecological, urban systems. We systematically investigated the…

Physics and Society · Physics 2011-01-07 Jiang Zhang , Tongkui Yu

Many large cities are found at locations with certain first nature advantages. Yet, those exogenous locational features may not be the most potent forces governing the spatial pattern of cities. In particular, population size, spacing and…

General Economics · Economics 2019-08-27 Tomoya Mori

The prevalence of many urban phenomena changes systematically with population size. We propose a theory that unifies models of economic complexity and cultural evolution to derive urban scaling. The theory accounts for the difference in…

Physics and Society · Physics 2016-12-28 Andres Gomez-Lievano , Oscar Patterson-Lomba , Ricardo Hausmann

Cities are systems with a large number of constituents and agents interacting with each other and can be considered as emblematic of complex systems. Modeling these systems is a real challenge and triggered the interest of many disciplines…

Physics and Society · Physics 2019-10-23 Marc Barthelemy

The process of urbanization is one of the most important phenomenon of our societies and it is only recently that the availability of massive amounts of geolocalized historical data allows us to address quantitatively some of its features.…

Physics and Society · Physics 2017-10-20 Giulia Carra , Marc Barthelemy

A large proportion of Africa's infrastructure is yet to be built. Where and how these new buildings are constructed matters since today's decisions will last for decades. The resulting morphology of cities has lasting implications for a…

Physics and Society · Physics 2022-08-12 Rafael Prieto Curiel , Jorge E. Patino , Brilé Anderson

The interaction of all mobile species with their environment hinges on their movement patterns: the places they visit and how frequently they go there. In human society, where the prevalent form of cohabitation is in cities, the highly…

Physics and Society · Physics 2020-02-17 Markus Schläpfer , Michael Szell , Hadrien Salat , Carlo Ratti , Geoffrey B. West

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…

Physics and Society · Physics 2018-12-19 Yanguang Chen

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

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

In the present work we study the relationship between population allocation and the combined effects of urban size and energy consumption, for two given areas and through a major part of the twentieth century. Along these lines a general…

Physics and Society · Physics 2016-06-17 Josep M Casas-Busquet , Agustí Poch-Parés
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