A Hierarchical Allometric Scaling Analysis of Chinese Cities: 1991–2014
Table 2
The global and local allometric and fractal parameters of the hierarchies of Chinese cities (1991–2014).
Year
Results based on all the data points (global allometry)
Results based on the scaling range (local allometry)
1991
0.7609
0.8977
0.9479
1.5724
1.7040
0.9228
0.2321
1.1228
0.9727
1.8018
1.5664
1.1503
1992
0.7818
0.8960
0.9451
1.5947
1.7222
0.9260
0.2171
1.1388
0.9763
1.8120
1.5555
1.1649
1993
1.6289
0.7622
0.9442
0.9320
1.3215
0.7053
0.6375
0.9396
0.9554
1.5964
1.6677
0.9572
1994
1.4179
0.7904
0.9533
1.1120
1.4537
0.7649
0.6310
0.9439
0.9527
1.6181
1.6838
0.9610
1995
1.3064
0.8123
0.9468
1.1809
1.4848
0.7953
0.5090
0.9931
0.9497
1.6568
1.6832
0.9843
1996
1.2484
0.8383
0.9566
1.2164
1.4839
0.8197
0.6597
0.9554
0.9487
1.5976
1.6436
0.9720
1997
1.2916
0.8334
0.9555
1.2275
1.5020
0.8172
0.6622
0.9568
0.9484
1.5995
1.6437
0.9731
1998
1.2289
0.8483
0.9666
1.2078
1.4593
0.8277
0.7932
0.9217
0.9611
1.5462
1.6630
0.9298
1999
1.2430
0.8458
0.9693
1.2066
1.4610
0.8259
0.7934
0.9225
0.9643
1.5426
1.6595
0.9296
2000
1.2885
0.8396
0.9721
1.2046
1.4674
0.8209
0.8417
0.9114
0.9690
1.5231
1.6571
0.9191
2001
1.4402
0.8419
0.9869
1.1608
1.3963
0.8313
1.0042
0.9096
0.9860
1.3900
1.5293
0.9089
2002
1.4268
0.8633
0.9818
1.1352
1.3161
0.8625
0.9371
0.9470
0.9828
1.3395
1.4099
0.9501
2003
1.5490
0.8720
0.9755
1.1191
1.2667
0.8835
0.9883
0.9661
0.9822
1.2888
1.3292
0.9696
2004
1.5335
0.8859
0.9905
1.1198
1.2651
0.8851
1.2023
0.9333
0.9880
1.2754
1.3586
0.9388
2005
1.7848
0.8556
0.9879
1.0796
1.2489
0.8644
1.3683
0.9129
0.9879
1.2322
1.3400
0.9196
2006
1.8313
0.8713
0.9884
1.0717
1.2122
0.8841
1.3808
0.9369
0.9986
1.2171
1.2985
0.9373
2007
1.9359
0.8680
0.9871
1.0705
1.2115
0.8836
1.4771
0.9323
0.9982
1.2128
1.2990
0.9336
2008
2.0198
0.8687
0.9846
1.0752
1.2116
0.8874
1.5383
0.9346
0.9965
1.2225
1.3032
0.9381
2009
2.1126
0.8668
0.9833
1.0752
1.2136
0.8860
1.5698
0.9372
0.9954
1.2238
1.2994
0.9418
2010
2.4915
0.8359
0.9784
1.0552
1.2279
0.8594
1.9223
0.9012
0.9919
1.2036
1.3267
0.9072
2011
2.6215
0.8353
0.9715
1.0697
1.2386
0.8636
1.8691
0.9179
0.9898
1.2426
1.3421
0.9259
2012
2.7957
0.8228
0.9702
1.0542
1.2349
0.8537
2.1355
0.8910
0.9837
1.2105
1.3408
0.9028
2013
2.9567
0.8171
0.9675
1.0519
1.2362
0.8509
2.2495
0.8867
0.9823
1.2114
1.3467
0.8995
2014
2.9809
0.8194
0.9662
1.0489
1.2253
0.8560
2.2490
0.8913
0.9839
1.2099
1.3397
0.9031
Note. () The notations are as follows: a—proportionality coefficient, —allometric scaling exponent, — goodness of fit, —size dimension (the fractal dimension of population size distribution), —area dimension (the fractal dimension of urban area distribution), and —fractal dimension quotient or dimension ratio. () Removing the first class and the last class yields the scaling range.
