Research Article

Zipf's Law, Hierarchical Structure, and Cards-Shuffling Model for Urban Development

Figure 1

The models of hierarchies of cities, rivers, and earthquakes with cascade structure. (Note: the sketch maps only show the first four classes for the top-down models, or the last four classes for the bottom-up models.)
480196.fig.001a
(a) Hierarchy of cities
480196.fig.001b
(b) Networks of rivers
480196.fig.001c
(c) Hierarchy of earthquakes