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Two basic features of assemblages of unicellular plankton: (1) their high biodiversity and (2) the power-law structure of their abundance, can be explained by an allometric scaling of cell growth and mortality with respect to cell size. To…

Populations and Evolution · Quantitative Biology 2017-05-16 Richard Law , José A. Cuesta , Gustav W. Delius

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

In 2012 the world's population exceeded 7 billion, and since 2008 the number of individuals living in urban areas has surpassed that of rural areas. This is the result of an overall increase of life expectancy in many countries that has…

Physics and Society · Physics 2015-12-14 Filippo Simini , Charlotte James

Large-scale networks of human interaction, in particular country-wide telephone call networks, can be used to redraw geographical maps by applying algorithms of topological community detection. The geographic projections of the emerging…

Social and Information Networks · Computer Science 2013-12-23 Stanislav Sobolevsky , Michael Szell , Riccardo Campari , Thomas Couronné , Zbigniew Smoreda , Carlo Ratti

We demonstrate that the original fundamental allometry alone cannot accurately describe the relationship between urban area and population size. Instead, building height is a third factor that interplays with area and population. To…

Physics and Society · Physics 2024-07-15 Fabiano L. Ribeiro , Peiran Zhang , Liang Gao , Diego Rybski

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

The highly detailed international trade data among all countries in the world during 1971-2000 shows that the kinds of export goods and the logarithmic GDP (gross domestic production) of a country has an S-shaped relationship. This…

General Finance · Quantitative Finance 2015-05-28 Lunchao Hu , Kailan Tian , Xin Wang , Jiang Zhang

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…

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

We investigated the socioeconomic scaling behavior of all cities with more than 50,000 inhabitants in the Netherlands and found significant superlinear scaling of gross urban product with population size. Of these cities, 22 major cities…

Physics and Society · Physics 2016-02-17 Anthony F. J. van Raan , Gerwin van der Meulen , Willem Goedhart

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 law of allometric scaling based on Zipf distributions can be employed to research hierarchies of cities in a geographical region. However, the allometric patterns are easily influenced by random disturbance from the noises in…

Physics and Society · Physics 2018-12-19 Yanguang Chen , Jian Feng

Measures of wealth and production have been found to scale superlinearly with the population of a city. Therefore, it makes economic sense for humans to congregate together in dense settlements. A recent model of population dynamics showed…

Physics and Society · Physics 2016-12-28 James PL Tan

The concept of allometric growth is based on scaling relations, and it has been applied to urban and regional analysis for a long time. However, most allometric analyses were devoted to the single proportional relation between two elements…

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

We report on the existing connection between power-law distributions and allometries. As it was first reported in [PLoS ONE 7, e40393 (2012)] for the relationship between homicides and population, when these urban indicators present…

Physics and Society · Physics 2014-07-01 Luiz G. A. Alves , Haroldo V. Ribeiro , Ervin K. Lenzi , Renio S. Mendes

Ecosystems and other naturally resilient systems exhibit allometric scaling in the distribution of sizes of their elements. In this paper we define an allometry inspired scaling indicator for cities that is a first step towards quantifying…

Computers and Society · Computer Science 2016-04-19 Fouad Khan , Laszlo Pinter

Publicly traded companies are fundamental units of contemporary economies and markets and are important mechanisms through which humans interact with their environments. Understanding the general properties that underlie the processes of…

Physics and Society · Physics 2022-07-07 Jiang Zhang , Christopher P. Kempes , Marcus J. Hamilton , Ruyi Tao , Geoffrey B. West

Map generalization is a process of producing maps at different levels of detail by retaining essential properties of the underlying geographic space. In this paper, we explore how the map generalization process can be guided by the…

Data Analysis, Statistics and Probability · Physics 2013-10-22 Bin Jiang , Xintao Liu , Tao Jia

Human mobility patterns deeply affect the dynamics of many social systems. In this paper, we empirically analyze the real-world human movements based GPS records, and observe rich scaling properties in the temporal-spatial patterns as well…

Physics and Society · Physics 2015-06-15 Xiang-Wen Wang , Xiao-Pu Han , Bing-Hong Wang

Analysis of the urban population fraction data for sixteen populous countries over the last fifty years reveals a universal increase in urbanization, exhibiting four qualitatively distinct temporal patterns: (i) continuously accelerating…

Physics and Society · Physics 2026-01-06 Neeraj Pandey , Abhineet Agarwal , Raju Roychowdhury , Karmeshu , Parth Pratim Pandey