Characterizing Growth and Form of Fractal Cities with Allometric Scaling Exponents
Table 1
The fractal dimension values of urban boundaries and ASEs of the area-perimeter relations of 31 megacities in China in 1990 and 2000.
City
1990
2000
Scaling exponent (b)
Boundary dimension 1 ()*
Boundary dimension 2 ()**
Scaling exponent (b)
Boundary dimension 1 ()*
Boundary dimension 2 ()**
Anshan
0.735
1.469
1.250
0.690
1.380
1.174
Beijing
0.751
1.502
1.277
0.722
1.444
1.228
Changchun
0.702
1.404
1.194
0.701
1.401
1.192
Changsha
0.766
1.532
1.303
0.763
1.526
1.298
Chengdu
0.838
1.676
1.425
0.837
1.674
1.424
Chongqing
0.753
1.505
1.281
0.723
1.446
1.230
Dalian
0.745
1.489
1.267
0.737
1.474
1.254
Fushun
0.706
1.411
1.201
0.683
1.366
1.162
Guangzhou
0.702
1.403
1.194
0.772
1.544
1.313
Guiyang
0.874
1.748
1.487
0.871
1.742
1.482
Hangzhou
0.800
1.599
1.361
0.783
1.565
1.332
Harbin
0.685
1.369
1.165
0.654
1.307
1.112
Jilin
0.712
1.424
1.211
0.716
1.432
1.218
Jinan
0.717
1.433
1.220
0.732
1.463
1.245
Kunming
0.794
1.588
1.351
0.736
1.472
1.252
Lanzhou
0.741
1.482
1.260
0.736
1.471
1.252
Nanchang
0.727
1.454
1.237
0.751
1.502
1.277
Nanjing
0.785
1.569
1.335
0.747
1.494
1.271
Qingdao
0.689
1.377
1.172
0.653
1.305
1.111
Qiqihaer
0.678
1.355
1.153
0.670
1.340
1.140
Shanghai
0.741
1.481
1.260
0.711
1.422
1.209
Shenyang
0.650
1.300
1.106
0.639
1.278
1.087
Shijiazhuang
0.786
1.571
1.337
0.733
1.466
1.247
Taiyuan
0.777
1.554
1.322
0.769
1.538
1.308
Tangshan
0.750
1.500
1.276
0.728
1.456
1.238
Tianjin
0.688
1.376
1.170
0.678
1.356
1.153
Urumchi
0.724
1.447
1.232
0.721
1.441
1.226
Wuhan
0.738
1.475
1.255
0.747
1.494
1.271
Xian
0.731
1.461
1.243
0.683
1.366
1.162
Zhengzhou
0.753
1.506
1.281
0.713
1.426
1.213
Zibo
0.763
1.525
1.298
0.747
1.493
1.271
Average
0.742
1.483
1.262
0.727
1.454
1.237
The scaling exponent and the first kind of fractal dimension values (boundary dimension 1) were estimated and provided by Dr. Xinsheng Wang, who assumed that the dimension of urban form is (see [38]). **The second kind of fractal dimension values (boundary dimension 2) was estimated through the scaling exponent values by this paper’s author, who assumed that the dimension of urban form is
