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      Urban scaling in Europe

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          Abstract

          Over the last few decades, in disciplines as diverse as economics, geography and complex systems, a perspective has arisen proposing that many properties of cities are quantitatively predictable due to agglomeration or scaling effects. Using new harmonized definitions for functional urban areas, we examine to what extent these ideas apply to European cities. We show that while most large urban systems in Western Europe (France, Germany, Italy, Spain, UK) approximately agree with theoretical expectations, the small number of cities in each nation and their natural variability preclude drawing strong conclusions. We demonstrate how this problem can be overcome so that cities from different urban systems can be pooled together to construct larger datasets. This leads to a simple statistical procedure to identify urban scaling relations, which then clearly emerge as a property of European cities. We compare the predictions of urban scaling to Zipf's law for the size distribution of cities and show that while the former holds well the latter is a poor descriptor of European cities. We conclude with scenarios for the size and properties of future pan-European megacities and their implications for the economic productivity, technological sophistication and regional inequalities of an integrated European urban system.

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          Urbanization and the wealth of nations.

          The proportion of a country's population living in urban areas is highly correlated with its level of income. Urban areas offer economies of scale and richer market structures, and there is strong evidence that workers in urban areas are individually more productive, and earn more, than rural workers. However, rapid urbanization is also associated with crowding, environmental degradation, and other impediments to productivity. Overall, we find no evidence that the level of urbanization affects the rate of economic growth. Our findings weaken the rationale for either encouraging or discouraging urbanization as part of a strategy for economic growth.
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            Urban characteristics attributable to density-driven tie formation

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              The Pre-History of Urban Scaling

              Cities are increasingly the fundamental socio-economic units of human societies worldwide, but we still lack a unified characterization of urbanization that captures the social processes realized by cities across time and space. This is especially important for understanding the role of cities in the history of human civilization and for determining whether studies of ancient cities are relevant for contemporary science and policy. As a step in this direction, we develop a theory of settlement scaling in archaeology, deriving the relationship between population and settled area from a consideration of the interplay between social and infrastructural networks. We then test these models on settlement data from the Pre-Hispanic Basin of Mexico to show that this ancient settlement system displays spatial scaling properties analogous to those observed in modern cities. Our data derive from over 1,500 settlements occupied over two millennia and spanning four major cultural periods characterized by different levels of agricultural productivity, political centralization and market development. We show that, in agreement with theory, total settlement area increases with population size, on average, according to a scale invariant relation with an exponent in the range . As a consequence, we are able to infer aggregate socio-economic properties of ancient societies from archaeological measures of settlement organization. Our findings, from an urban settlement system that evolved independently from its old-world counterparts, suggest that principles of settlement organization are very general and may apply to the entire range of human history.
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                Author and article information

                Journal
                J R Soc Interface
                J R Soc Interface
                RSIF
                royinterface
                Journal of the Royal Society Interface
                The Royal Society
                1742-5689
                1742-5662
                March 2016
                March 2016
                : 13
                : 116
                : 20160005
                Affiliations
                [1 ]Santa Fe Institute , 1399 Hyde Park Road, Santa Fe, NM 87501, USA
                [2 ]School of Sustainability, Arizona State University , 800 Cady Mall, Tempe, AZ 85281, USA
                Author notes
                Article
                rsif20160005
                10.1098/rsif.2016.0005
                4843676
                26984190
                73cae9b2-006c-45ce-9d79-14b402b4c0a2
                © 2016 The Authors.

                Published by the Royal Society under the terms of the Creative Commons Attribution License http://creativecommons.org/licenses/by/4.0/, which permits unrestricted use, provided the original author and source are credited.

                History
                : 3 January 2015
                : 22 February 2016
                Funding
                Funded by: John D. and Catherine T. MacArthur Foundation, http://dx.doi.org/10.13039/100000870;
                Award ID: 13-105749-000-USP
                Funded by: Army Research Office, http://dx.doi.org/10.13039/100000183;
                Award ID: W911NF1210097
                Categories
                1004
                120
                69
                30
                Life Sciences–Mathematics interface
                Research Article
                Custom metadata
                March, 2016

                Life sciences
                agglomeration effects,gross domestic product,urbanized area,innovation,population-size distribution,megacities

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