The Fractal Dimension of River Length Based on the Observed Data

Table 5

The result of second-order accumulated variable-dimensional fractal sequence of Chongqing city of Yangtze River left bank.

	Station	Linear correlation equation	Dimension; 𝐷2	Relative number; 𝑅^2
Median flood	The upper reaches of the Yangtze River to Lijiatuo bridge	𝑦=0.3318𝑥+4.8736	−0.3318	0.9855
	Lijiatuo bridge to Ergongyan Yangtze River bridge	𝑦=0.3327𝑥+4.4858	−0.3327	0.9853
	Ergongyan bridge to Caiyuanba Yangtze River bridge	𝑦=0.3328𝑥+4.6929	−0.3328	0.9853
	Caiyuanba bridge to Shibanpo Yangtze River bridge	𝑦=0.3316𝑥+5.0926	−0.3216	0.9859
	Shibanpo bridge to the Big Temple Yangtze River bridge	𝑦=0.3315𝑥+4.4454	−0.3315	0.9856
	The Big Temple bridge to the lower reaches of the Yangtze River	𝑦=0.3318𝑥+4.6043	−0.3318	0.9855
Flood	The upper reaches of the Yangtze River to Lijiatuo bridge	𝑦=1.6705𝑥−11.711	−1.6705	0.9831
	Lijiatuo bridge to Ergongyan Yangtze River bridge	𝑦=1.7203𝑥−14.294	−1.7203	0.9839
	Ergongyan bridge to Caiyuanba Yangtze River bridge	𝑦=1.6844𝑥−12.606	−1.6844	0.9831
	Caiyuanba bridge to Shibanpo Yangtze River bridge	𝑦=1.6776𝑥−10.838	−1.6776	0.9836
	Shibanpo bridge to the Big Temple Yangtze River bridge	𝑦=1.6822𝑥−14.053	−1.6822	0.9833
	The Big Temple bridge to the lower reaches of the Yangtze River	𝑦=1.6766𝑥−13.155	−1.6766	0.9832

Where 𝑦=ln(𝑄_𝑖), 𝑥=ln(𝑆2).