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Rank clocks.

Michael Batty1

  • 1Centre for Advanced Spatial Analysis, The Bartlett School, University College London, 1-19 Torrington Place, London WC1E 6BT, UK. m.batty@ucl.ac.uk

Nature
|December 1, 2006
PubMed
Summary
This summary is machine-generated.

Rank-size scaling in distributions of cities and firms masks micro-level turbulence. New

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Area of Science:

  • Urban studies
  • Economic geography
  • Historical sociology

Background:

  • Many real-world distributions, like city sizes, follow power laws.
  • Previous studies often analyzed these distributions statically, missing temporal dynamics.
  • Macro-stability can obscure micro-level volatility and rank changes.

Purpose of the Study:

  • To analyze the temporal dynamics of rank-size distributions.
  • To introduce a novel graphical method, the 'rank clock', for examining micro-dynamics.
  • To challenge the universality of rank-size scaling and conventional growth models.

Main Methods:

  • Graphical representation using the 'rank clock'.
  • Analysis of city size distributions for the US (1790-), UK (1901-), and the world (430 BC-).
  • Comparison of observed micro-dynamics with predictions from conventional growth models.

Main Results:

  • Rank-size scaling is not universal; micro-dynamics reveal significant rank changes over time.
  • Cities and civilizations exhibit rapid rises and falls in size and rank.
  • The 'rank clock' visualizes this micro-level turbulence within macro-stable distributions.

Conclusions:

  • Conventional models based on proportionate growth fail to explain observed micro-dynamics.
  • The universality of rank-size scaling is challenged by temporal analysis.
  • A more nuanced understanding of urban and economic dynamics is required, accounting for micro-level volatility.