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

Table 1

Wave number and spectral density of Hangzhou urban population density: 1964–2000.

Wave number (𝑘)	Spectral density 𝑊(𝑘)
	1964	1982	1990	2000
0	470847029	687015768	969469086	1494703196
0.03125	266735175	376124165	518629122	675108949
0.0625	163038091	231101694	283630373	294766651
0.09375	80198737	109872611	124617149	102574154
0.125	34091648	46787205	52487145	31878318
0.15625	11713224	17423260	24322424	24756703
0.1875	10527175	14968825	21343643	29845517
0.21875	12592259	18232629	22844713	24457983
0.25	11068578	17010714	15856897	11715162
0.28125	10257519	15964575	12434438	6237997
0.3125	10488070	16550655	14519617	8907607
0.34375	9395933	14802082	14191199	10727756
0.375	7431240	12355945	11425873	10425179
0.40625	6006155	9418308	8389117	9420298
0.4375	4840628	7937045	6060730	6493748
0.46875	5667641	8597673	6329055	4789005
0.5	6772368	9776351	7245194	4698112