Zipf's Law for U.S. Cities

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram CDF Player or other Wolfram Language products.

Requires a Wolfram Notebook System

Edit on desktop, mobile and cloud with any Wolfram Language product.

Zipf's law implies that a log-log plot of the rank-size distribution will be a straight line with a slope of negative one. A linear regression shows that the best fit to Zipf's law is found when close to 150 metropolitan areas are included.

Contributed by: Fiona Maclachlan (September 2007)
Open content licensed under CC BY-NC-SA


Snapshots


Details

The data for city sizes was obtained using the CityData function in Mathematica (September 2007), and the data for the metropolitan areas was obtained from the United States Census, 2000.



Feedback (field required)
Email (field required) Name
Occupation Organization
Note: Your message & contact information may be shared with the author of any specific Demonstration for which you give feedback.
Send