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Scaling Laws in City Growth: Setting Limitations with Self-Organizing Maps

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  • Krzysztof Cebrat
  • Maciej Sobczyński

Abstract

Do scaling relations always provide the means to anticipate the relationships between the size of cities, costs of maintenance, and the socio-economic benefits resulting from their growth? Scaling laws are considered a universal principle that describes the development of complex systems such as cities. It seems that regardless of their location or history, the growth of cities is associated with the super-linear or sublinear scaling of features such as the amount of space required, infrastructure, or human activities. However, the results of our research, based on grouping by Self-Organizing Maps, reveal some limitations in the application of scaling laws: the trends of urban growth behave in a different manner when we consider both a large and diverse collection of cities and a subset of cities alike. This finding complements the existing body of knowledge on the growth of cities and allows for a more accurate prediction of their future.

Suggested Citation

  • Krzysztof Cebrat & Maciej Sobczyński, 2016. "Scaling Laws in City Growth: Setting Limitations with Self-Organizing Maps," PLOS ONE, Public Library of Science, vol. 11(12), pages 1-11, December.
    • Handle: RePEc:plo:pone00:0168753
    DOI: 10.1371/journal.pone.0168753
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    Cited by:

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    2. Mingyue Yang & Ningyin Liu & Xinjing Wang & Yan Zhang, 2023. "Chinese cities exhibit diverse allometric growth patterns in material metabolism," Journal of Industrial Ecology, Yale University, vol. 27(6), pages 1626-1638, December.

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