Streamflow | Mean | SD | CV | CS | Maximum value | Minimum value | Range |
---|---|---|---|---|---|---|---|
Annual | 28.48 | 3.43 | 0.45 | 202.46 | 49.90 | 10.46 | 39.44 |
Spring | 64.89 | 8.16 | 0.47 | 415.31 | 111.77 | 25.37 | 86.40 |
Summer | 21.27 | 4.17 | 0.73 | 78.39 | 50.71 | 3.64 | 47.06 |
Autumn | 8.70 | 0.89 | 0.38 | 69.84 | 13.90 | 1.38 | 12.52 |
Winter | 19.07 | 2.53 | 0.50 | 105.58 | 34.73 | 5.00 | 29.73 |
Streamflow | Skewness | SEskewness | Zskewness | Kurtosis | SEkurtosis | Zkurtosis | Kolmogorov–Smirnov* | Shapiro–Wilk | ||
---|---|---|---|---|---|---|---|---|---|---|
Statistics | Statistics | |||||||||
Annual | 0.04 | 0.597 | 0.067 | −1.35 | 1.154 | −0.001 | 0.175 | 0.200* | 0.935 | 0.200* |
Spring | 0.18 | 0.597 | 0.302 | −1.53 | 1.154 | −0.001 | 0.139 | 0.200* | 0.921 | 0.200* |
Summer | 0.42 | 0.597 | 0.704 | −1.01 | 1.154 | −0.001 | 0.182 | 0.200* | 0.924 | 0.200* |
Autumn | −0.58 | 0.597 | −0.972 | 0.55 | 1.154 | 0.000 | 0.129 | 0.200* | 0.853 | 0.042 |
Winter | 0.21 | 0.597 | 0.352 | −1.12 | 1.154 | −0.001 | 0.137 | 0.200* | 0.956 | 0.200* |
Parameters | Models | |||
---|---|---|---|---|
ARIMA (1, 1, 0) | ARIMA (0, 1, 1) | ARIMA (1, 1, 1) | ||
AR | MA | AR | MA | |
Coefficient | −0.637 | 0.890 | −0.126 | 0.894 |
SE | 0.255 | 0.314 | 0.377 | 344 |
|
0.029 | 0.016 | 0.746 | 0.027 |
Normalized BIC | 15.616 | 15.409 | 15.863 | |
R2 | −0.565 | −0.272 | −0.479 | |
Ljung–Box Statistics | 25.31 | 19.11 | 18.12 | |
Ljung–Box |
0.005 | 0.039 | 0.034 |
Period | Streamflow | Kendall’s tau | Trend | Spearman’s rho | p | Trend | |
---|---|---|---|---|---|---|---|
Annual | Annual | −0.055 | 0.784 | ▼ | −0.055 | 0.852 | ▼ |
Seasonal | Spring | −0.209 | 0.298 | ▼ | −0.297 | 0.303 | ▼ |
Summer | 0.143 | 0.477 | ▲ | 0.240 | 0.409 | ▲ | |
Autumn | −0.297 | 0.169 | ▼ | −0.437 | 0.118 | ▼ | |
Winter | −0.099 | 0.622 | ▼ | −0.108 | 0.714 | ▼ | |
Monthly | January | −0.209 | 0.298 | ▼ | −0.262 | 0.366 | ▼ |
February | −0.165 | 0.412 | ▼ | −0.204 | 0.483 | ▼ | |
March | −0.055 | 0.784 | ▼ | −0.099 | 0.737 | ▼ | |
April | −0.209 | 0.298 | ▼ | −0.288 | 0.318 | ▼ | |
May | −0.143 | 0.477 | ▼ | −0.143 | 0.626 | ▼ | |
June | 0.209 | 0.298 | ▲ | 0.244 | 0.401 | ▲ | |
July | 0.011 | 0.956 | ▲ | 0.156 | 0.594 | ▲ | |
August | −0.231 | 0.250 | ▼ | −0.288 | 0.318 | ▼ | |
September | −0.209 | 0.298 | ▼ | −0.341 | 0.233 | ▼ | |
October | −0.231 | 0.250 | ▼ | −0.349 | 0.221 | ▼ | |
November | −0.209 | 0.298 | ▼ | −0.226 | 0.436 | ▼ | |
December | 0.033 | 0.870 | ▲ | −0.011 | 0.970 | ▼ |