A Unifying Theory for Scaling Laws of Human Populations - http://arxiv.org/pdf...
Aloof Schipperke
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"The spatial distribution of people exhibits clustering across a wide range of scales, from
household (∼ 10−2 km) to continental (∼ 104 km) scales. Empirical data indicates simple
power-law scalings for the size distribution of cities (known as Zipf’s law1
), the geographic
distribution of friends2
, and the population density fluctuations as a function of scale. We derive
a simple statistical model that explains all of these scaling laws based on a single unifying
principle involving the random spatial growth of clusters of people on all scales. The model
makes important new predictions for the spread of diseases and other social phenomena.
- Todd Hoff