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Indication of long-range correlations governing city size

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Li,  Yunfei
Potsdam Institute for Climate Impact Research;

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Ural,  Deniz
Potsdam Institute for Climate Impact Research;

Kantelhardt,  Jan W.
External Organizations;

Rybski,  Diego
External Organizations;

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pgae329.pdf
(Verlagsversion), 6MB

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Zitation

Li, Y., Ural, D., Kantelhardt, J. W., Rybski, D. (2024): Indication of long-range correlations governing city size. - PNAS Nexus, 3, 9, pgae329.
https://doi.org/10.1093/pnasnexus/pgae329


Zitierlink: https://publications.pik-potsdam.de/pubman/item/item_30226
Zusammenfassung
City systems are characterized by the functional organization of cities on a regional or country scale. While there is a relatively good empirical and theoretical understanding of city size distributions, insights about their spatial organization remain on a conceptual level. Here, we analyze empirically the correlations between the sizes of cities (in terms of area) across long distances. Therefore, we (i) define city clusters, (ii) obtain the neighborhood network from Voronoi cells, and (iii) apply a fluctuation analysis along all shortest paths. We find that most European countries exhibit long-range correlations but in several cases these are anti-correlations. In an analogous way, we study a model inspired by Central Places Theory and find that it leads to positive long-range correlations, unless there is strong additional spatial disorder—contrary to intuition. We conclude that the interactions between cities extend over large distances reaching the country scale. Our findings have policy relevance as urban development or decline can affect cities at a considerable distance.