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Constructing cities, deconstructing scaling laws.

Elsa Arcaute1, Erez Hatna2, Peter Ferguson3

  • 1Centre for Advanced Spatial Analysis (CASA), University College London, London, UK e.arcaute@ucl.ac.uk.

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Summary
This summary is machine-generated.

This study challenges universal scaling laws for cities. Most urban indicators scale linearly with size, not predictably by population alone, questioning previous urban science models.

Keywords:
city boundariespower-lawsscaling lawsurban indicators

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Area of Science:

  • Urban studies
  • Complexity science
  • Spatial analysis

Background:

  • Advancing a science of cities requires consistent urban measures.
  • Previous work proposed universal scaling laws to predict urban indicators based on population size.

Purpose of the Study:

  • To develop a consistent framework for defining cities.
  • To test the validity of universal scaling laws in urban systems.
  • To analyze the relationship between urban indicators and city size.

Main Methods:

  • Defined cities using commuting and population density thresholds.
  • Constructed thousands of city system realizations for England and Wales.
  • Performed scaling analysis on a wide range of urban indicators.

Main Results:

  • Population size alone is insufficient for predicting a city's state.
  • Most urban indicators exhibit linear scaling with city size.
  • Nonlinear scaling exponents show considerable fluctuation across definitions.

Conclusions:

  • The proposed universal scaling laws are not corroborated by this analysis.
  • Consistent city definitions are crucial for reliable urban modeling.
  • Urban indicator scaling is complex and sensitive to boundary definitions.