Modeling Fractal Structure of City-Size Distributions Using Correlation Functions
2011

Understanding City Size Distributions

Sample size: 500 publication 10 minutes Evidence: moderate

Author Information

Author(s): Chen Yanguang

Primary Institution: Peking University, Beijing, China

Hypothesis

The study proposes a dual competition hypothesis of city development to explain the scaling relation between city rank and size.

Conclusion

The study concludes that city size distributions can be explained by the interplay of two effects: the Pareto effect indicating city number increase and the Zipf effect indicating city size growth.

Supporting Evidence

  • The study shows that city size distributions follow Zipf's law.
  • Mathematical experiments support the dual competition hypothesis.
  • Empirical analysis of U.S. cities reveals two trends in city size growth.

Takeaway

This study looks at how cities grow in size and number, showing that they compete in two ways: some cities get bigger while others increase in number.

Methodology

The study uses mathematical experiments and scaling analysis to derive the parameters of city size distributions.

Potential Biases

Different algorithms may yield different results, potentially leading to biased conclusions.

Limitations

The study's findings may vary based on the algorithms used for data analysis and the definitions of cities.

Participant Demographics

The study analyzes 513 cities in the United States with urbanized area populations over 40,000.

Digital Object Identifier (DOI)

10.1371/journal.pone.0024791

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