Research Article

Spatiotemporal Evolution and Complexity of Urban Networks in China, 1978–2019: An Enterprise Linkages Perspective

Table 2

Characteristics statistics of urban networks in China from 1978 to 2019.

StatisticsIndicators19781992200120102019

Network sizeNumber of nodes221349351352352
Number of edges5275515192643354258700
Density0.0110.0450.1550.2710.475
Diameter8 (9)5 (9)4 (9)3 (9)3 (9)

Degree centralityAverage degree2.38515.80254.57295.29166.761
Average weighted degree0.0750.1020.1080.1430.244
Variable coefficient3.6406.8584.5834.5363.303
Gini coefficient0.8020.7270.7170.6800.660

Neighborhood centralityAverage neighborhood centrality0.2570.4200.5350.5870.678
Variable coefficient0.7340.2500.1520.1620.193
Gini coefficient0.3330.1220.0660.0790.106

Betweenness centralityAverage betweenness centrality248.439465.900310.164260.264184.247
Variable coefficient5.8005.4923.8002.4471.449
Gini coefficient0.9580.9010.8550.7600.616

Small-worldAverage clustering coefficient0.268 (0.027)0.476 (0.024)0.551 (0.025)0.563 (0.024)0.658 (0.026)
Average path length3.645 (2.808)2.382 (2.723)1.891 (2.714)1.741 (2.709)1.525 (2.678)

Scale-freeWeighted degree distribution
Power law fitting
P(k) = 0.1636k−2.46
(R2 = 0.9996)
P(k) = 0.9422k−1.84
(R2 = 0.9742)
P(k) = 0.9365k−1.84
(R2 = 0.9789)
P(k) = 2.195k−1.34
(R2 = 0.8074)
P(k) = 3.051k−1.02
(R2 = 0.4983)

Note. The values in brackets are the statistics of random networks of the same scale.