Study of the Flood Frequency Based on Normal Transformation in Arid Inland Region: A Case Study of Manas River in North-Western China

Table 5

The calculation results of goodness of fitness.

Hydrologic serry			RSS			MSE
			P-III distribution	Box–Cox transformation	Johnson transformation	P-III distribution	Box–Cox transformation	Johnson transformation
Flood peak	High	10%	67034.13	79364.90	48848.57	11172.35	13227.48	8141.43
		30%	77033.56	89651.90	53797.42	4279.64	4980.66	2988.75
		50%	79019.54	93676.98	54608.96	2633.98	3122.57	1820.30
	Low	10%	10112.16	4281.46	3005.88	1685.36	713.58	500.98
		30%	11622.91	6278.01	3621.84	645.72	348.78	201.21
Maximum 1 d flood volume	High	10%	437.10	323.04	427.55	73.00	53.84	71.26
		30%	458.85	353.17	430.11	25.49	19.62	23.90
		50%	459.82	355.81	430.50	15.33	11.86	14.35
	Low	10%	17.57	16.75	5.90	2.93	2.79	0.98
		30%	26.81	33.33	8.39	1.49	1.85	0.47
Maximum 3 d flood volume	High	10%	1619.24	1307.61	1771.43	269.87	217.93	295.24
		30%	1806.61	1532.90	1834.97	100.37	85.16	101.94
		50%	1832.43	1564.00	1846.39	61.08	52.13	61.55
	Low	10%	142.75	103.33	33.81	23.79	17.22	5.63
		30%	186.77	172.85	51.87	10.38	9.60	2.88
Maximum 5 d flood volume	High	10%	3350.42	2891.58	2884.61	558.40	481.93	480.77
		30%	3604.41	3220.96	2964.18	200.25	178.94	164.68
		50%	3689.12	3308.46	3055.62	122.97	110.28	101.85
	Low	10%	279.59	191.31	120.71	46.60	31.89	20.12
		30%	360.82	313.14	167.53	20.05	17.40	9.31