TY - JOUR A1 - Fluschnik, Till A1 - Kriewald, Steffen A1 - Ros, Anselmo Garcia Cantu A1 - Zhou, Bin A1 - Reusser, Dominik Edwin A1 - Kropp, Jürgen A1 - Rybski, Diego T1 - The Size Distribution, Scaling Properties and Spatial Organization of Urban Clusters: A Global and Regional Percolation Perspective JF - ISPRS International Journal of Geo-Information N2 - 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 data and extract cities as defined by maximally connected urban clusters. The analysis of the city size distribution for all cities on the globe confirms Zipf’s law. Moreover, by investigating the percolation properties of the clustering of urban areas we assess the closeness to criticality for various countries. At the critical thresholds, the urban land cover of the countries undergoes a transition from separated clusters to a gigantic component on the country scale. We study the Zipf-exponents as a function of the closeness to percolation and find a systematic dependence, which could be the reason for deviating exponents reported in the literature. Moreover, we investigate the average size of the clusters as a function of the proximity to percolation and find country specific behavior. By relating the standard deviation and the average of cluster sizes—analogous to Taylor’s law—we suggest an alternative way to identify the percolation transition. We calculate spatial correlations of the urban land cover and find long-range correlations. Finally, by relating the areas of cities with population figures we address the global aspect of the allometry of cities, finding an exponent δ ≈ 0.85, i.e., large cities have lower densities. Y1 - 2016 U6 - https://doi.org/10.3390/ijgi5070110 SN - 2220-9964 VL - 5 SP - 1543 EP - 1559 PB - MDPI CY - Basel ER - TY - JOUR A1 - Rybski, Diego A1 - Reusser, Dominik Edwin A1 - Winz, Anna-Lena A1 - Fichtner, Christina A1 - Sterzel, Till A1 - Kropp, Jürgen T1 - Cities as nuclei of sustainability? JF - Environment and Planning B: Urban Analytics and City Science N2 - We have assembled CO2 emission figures from collections of urban GHG emission estimates published in peer-reviewed journals or reports from research institutes and non-governmental organizations. Analyzing the scaling with population size, we find that the exponent is development dependent with a transition from super- to sub-linear scaling. From the climate change mitigation point of view, the results suggest that urbanization is desirable in developed countries. Further, we compare this analysis with a second scaling relation, namely the fundamental allometry between city population and area, and propose that density might be a decisive quantity too. Last, we derive the theoretical country-wide urban emissions by integration and obtain a dependence on the size of the largest city. KW - Scaling KW - cities KW - climate change KW - development process KW - allometry Y1 - 2017 U6 - https://doi.org/10.1177/0265813516638340 SN - 2399-8083 SN - 2399-8091 VL - 44 IS - 3 SP - 425 EP - 440 PB - Sage Publ. CY - London ER -