Research Article

A Wave-Spectrum Analysis of Urban Population Density: Entropy, Fractal, and Spatial Localization

Table 2

Estimated values of model parameters and related statistics of Hangzhou urban density. The characteristic radius values are estimated by means of least squares computation based on (2.2), and using values, we can compute the maximum entropy with the formula . The unit of entropy is “nat.”

YearCharacteristic radius Spectral exponent Goodness of fit Fractal dimension Hurst exponent Autocorrelation coefficient Maximum entropy

19643.5641.4890.9251.7560.245 0.2983.455
19823.6711.4350.9201.7830.218 0.3243.535
19903.6281.6640.9661.6680.332 0.2083.503
20003.9461.7980.9491.6010.399 0.1303.731