Variables in | Standardized weight of variables in selected PC (tik; i = 1, 2, …, 16 and k = 1, 2, 3, 4, 5) | Loading of variables (vik) | Communalities | ||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1 | 2 | 3 | 4 | 5 | 6 | 1 | 2 | 3 | 4 | 5 | 6 | ||
pH | –4.36 | 7.67 | 3.30 | 3.93 | 4.09 | 4.98 | 0.02 | 0.24 | 0.11 | 0.12 | 0.13 | 0.69 | |
SO4 | –5.16 | –4.87 | 14.36 | 16.21 | 3.01 | 4.71 | –0.01 | –0.09 | 0.28 | 0.00 | 0.06 | 0.63 | |
ORP | –1.26 | –1.26 | 1.06 | –2.48 | 1.97 | –0.22 | –0.13 | –0.11 | 0.09 | –0.22 | 0.07 | 0.17 | 0.57 |
Secchi | –0.08 | –0.93 | –1.92 | 2.23 | –3.77 | –0.22 | –0.03 | –0.09 | –0.19 | 0.22 | 0.74 | ||
Temp | 3.55 | 1.86 | –3.35 | 3.09 | 0.89 | 0.85 | 0.08 | –0.15 | 0.14 | –0.09 | 0.04 | 0.86 | |
Chl | 0.33 | 0.34 | 0.42 | –3.05 | 4.21 | 0.42 | 0.08 | 0.03 | 0.04 | –0. |
–0.01 | 0. |
0.74 |
TN | 3.41 | –2.59 | 0.83 | –0.81 | 0.05 | 0.019 | 0.19 | –0.14 | 0.04 | –0.04 | –0.02 | 0.03 | 0.73 |
NO3 | 2.49 | –4.29 | 5.07 | –1.13 | 1.41 | 2.39 | 0.17 | –0.15 | 0.18 | –0.04 | 0.31 | 0.05 | 0.93 |
NO2 | –1.84 | –0.92 | 7.68 | 4.44 | 2.15 | 0.53 | –0.05 | –0.03 | 0.31 | 0.17 | 0.08 | 0.74 | |
NH4 | 1.76 | –3.14 | 4.44 | –0.58 | –0.13 | 1.55 | 0.17 | –0.16 | 0.22 | –0.03 | 0.27 | –0.07 | 0.94 |
TP | 0.71 | 4.77 | 0.67 | –2.61 | –2.28 | 0.45 | 0.07 | 0.29 | 0.04 | –0.16 | 0.06 | –0.14 | 0.72 |
PO4 | 0.59 | 4.99 | 1.70 | –1.96 | –2.32 | 0.54 | 0.06 | 0. |
0.09 | –0.11 | –0.02 | –0.13 | 0.69 |
Cond | 5.31 | –2.67 | –5.70 | 0.68 | 1.03 | –0.82 | 0.18 | –0.11 | –0.23 | 0.02 | –0.11 | 0.04 | 0.82 |
TSS | –0.39 | –0.84 | –3.54 | –1.12 | 2.96 | –0.11 | –0.04 | –0.07 | –0.09 | 0.24 | 0.25 | 0.58 | |
BOD | –0.67 | 0.13 | –1.17 | 2.36 | 3.58 | 0.72 | 0.01 | 0.02 | –0.16 | 0. |
–0.07 | 0.71 | |
TDS | –2.34 | 1.21 | 0.48 | 1.68 | 2.49 | 1.37 | –0.15 | 0.13 | 0.05 | 0.18 | 0.27 | 0.72 | |
COD | –0.67 | 0.13 | –1.17 | 2.36 | 3.58 | 0.72 | 0.01 | 0.02 | –0.16 | 0. |
–0.07 | 0.71 |
Principle component | Eigenvalue | Cumulative variance (%) |
---|---|---|
PC1 | 4.0 | 23.8 |
PC2 | 2.2 | 36.8 |
PC3 | 1.8 | 47.7 |
PC4 | 1.3 | 55.8 |
PC5 | 1.2 | 63.4 |
PC6 | 1.0 | 69.4 |
PC7 | 0.9 | 75.1 |
PC8 | 0.8 | 79.7 |
PC9 | 0.7 | 83.7 |
PC10 | 0.6 | 87.4 |
PC11 | 0.5 | 90.3 |
PC12 | 0.4 | 92.6 |
PC13 | 0.3 | 94.6 |
PC14 | 0.3 | 96.3 |
PC15 | 0.3 | 97.8 |
PC16 | 0.2 | 99.1 |
PC17 | 0.15 | 100 |
Included independent variables | Regression coefficient (bk) | Standard deviation of bk | t | P | R2 (%) |
---|---|---|---|---|---|
Constant | 1.06 | 0.15 | 6.97 | 0.004 | 80.3 |
Score 1 | 0.57 | 1.2 | 1.97 | 0.049 | |
Score 12 | –5.81 | 1.72 | –3.39 | 0.042 |
Included independent variables | Regression coefficient (bk) Standard error of bk | Standardized regression coefficient | t P | R2 (%) |
---|---|---|---|---|
Constant | 1.01 0.18 | 5.55 0.00 | 75 | |
Score 1 | 1.90 0.89 | 0.501 | 2.95 0.048 |
Variables in | Standardized weight of variables in selected PC (tik; i = 1, 2, …, 16 and k = 1, 2, 3, 4, 5) | Loading of variables (vik) | Communalities | ||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1 | 2 | 3 | 4 | 5 | 6 | 1 | 2 | 3 | 4 | 5 | 6 | ||
pH | –0.49 | –0.06 | –0.45 | 4.88 | –1.61 | –0.74 | 0.03 | –0.05 | 0.04 | –0.05 | 0.01 | 0.73 | |
SO4 | 2.21 | –3.48 | 3.37 | –2.60 | –0.93 | 2.45 | –0.12 | 0.04 | 0.32 | –0.15 | –0.02 | 0.25 | 0.73 |
ORP | 1.21 | –1.93 | –0.44 | 0.91 | 1.27 | 1.80 | 0.07 | –0.28 | –0.02 | 0.05 | 0.07 | 0.16 | 0.49 |
Secchi | –1.11 | –0.88 | –2.46 | 0.62 | 4.53 | –0.42 | 0.03 | 0.02 | –0.08 | 0.19 | 0.11 | 0.75 | |
Temp | 4.51 | 1.61 | –2.32 | –0.89 | 0.89 | –0.71 | 0.29 | –0.34 | –0.08 | –0.03 | 0.09 | 0.01 | 0.85 |
Chl | –0.17 | 2.74 | 0.03 | 2.81 | –4.51 | 0.97 | –0.04 | 0.06 | –0.02 | 0.29 | 0.08 | 0.78 | |
TN | –1.65 | 3.43 | 1.01 | –1.37 | –1.86 | –0.64 | –0.04 | 0.36 | 0.12 | –0.02 | –0.05 | 0.02 | 0.71 |
NO3 | –2.21 | 1.12 | –2.65 | 3.01 | 0.45 | –1.26 | –0.05 | 0.34 | –0.09 | 0.36 | 0.16 | 0.02 | 0.61 |
NO2 | –4.48 | 6.69 | –0.69 | 2.42 | 0.95 | 0.21 | 0.04 | –0.09 | 0.09 | 0.01 | –0.03 | 0.85 | |
NH4 | –1.95 | 0.97 | –0.82 | 0.34 | –0.19 | –1.99 | –0.18 | –0.03 | 0.05 | 0.04 | –0.11 | 0.78 | |
TP | 0.21 | –0.24 | 2.62 | 1.07 | –0.31 | –4.57 | –0.04 | 0.02 | 0.12 | 0.03 | –0.08 | 0.61 | |
PO4 | –0.06 | –0.03 | 4.59 | –1.92 | –1.41 | –1.80 | 0.06 | 0.04 | –0.06 | –0.06 | –0.05 | 0.59 | |
Cond | 2.13 | –1.42 | –2.28 | –3.55 | 1.38 | 2.37 | 0.12 | –0.02 | –0.17 | –0.23 | 0.07 | 0.13 | 0.68 |
TSS | –1.37 | –3.11 | 4.01 | 1.65 | –2.42 | 0.52 | 0.02 | 0.01 | 0.18 | –0.03 | 0.12 | 0.45 | |
BOD | 3.19 | –4.30 | 2.25 | –2.31 | 0.54 | –0.63 | –0.07 | 0.25 | –0.01 | 0.16 | 0.09 | 0.81 | |
TDS | –0.73 | –1.08 | –0.04 | –0.97 | –1.29 | 4.73 | 0.05 | –0.14 | 0.13 | 0.02 | –0.09 | 0.71 | |
COD | 3.42 | –1.72 | 0.15 | 1.21 | –3.67 | 0.59 | 0.25 | –0.18 | 0.01 | 0.09 | –0.25 | 0.05 | 0.72 |
Included independent variables | Regression coefficient (bk) | Standard error of bk | Standardized regression coefficient | t | P | R2 (%) |
---|---|---|---|---|---|---|
Constant | 1.2 | 0.34 | 3.73 | 0.002 | 71 | |
Score 3 | 1.32 | 0.75 | 0.4 | 2.56 | 0.05 |
Mean | Standard deviation | Minimum | Maximum | |
---|---|---|---|---|
Predicted value | 1.11 | 0.53 | –0.49 | 1.81 |
S.E. of predicted value | 0.19 | 0.08 | 0.15 | 0.50 |
Residual | 0.00 | 0.59 | –0.70 | 1.80 |
Standard residual | 0.00 | 0.96 | –1.15 | 2.96 |
Cook’s distance | 0.08 | 0.16 | 0.00 | 0.57 |
Included independent variables | Regression coefficient (bk) | Standard deviation of bk | t | p | R2 (%) |
---|---|---|---|---|---|
Constant | 1.14 | 0.3 | 3.79 | 0.02 | 76.8 |
Score 7 | 0.77 | –2.2 | 1.8 | 0.049 | |
Score 10 | 3.42 | 1.56 | 2.2 | 0.041 | |
Score 12 | 0.8 | 0.5 | 2.08 | 0.045 |
Mean | Standard deviation | Minimum | Maximum | |
---|---|---|---|---|
Predicted value | 1.26 | 0.66 | 0.28 | 2.52 |
S.E. of predicted value | 0.40 | 0.11 | –1.47 | 1.89 |
Residual | 0.00 | 1.176 | –2.35 | 2.93 |
Standard residual | 0.00 | 0.97 | –1.91 | 2.41 |
Cook’s distance | 0.06 | 0.07 | 0.01 | 1.61 |
Observations | Observed values (mg l–1) | First approach predicted values (mg l–1) | Second approach predicted values (mg l–1) |
---|---|---|---|
1 | 1.75 | 0.7462 | 1.5680 |
2 | 2.04 | 2.4665 | 2.0199 |
3 | 2.00 | 1.2119 | 1.8576 |
4 | 1.21 | 0.9917 | 1.1429 |
5 | 1.26 | 0.6538 | 0.9731 |
6 | 1.09 | 0.621 | 0.8199 |
7 | 0.99 | 1.4281 | 0.9911 |
8 | 1.11 | 0.5003 | 1.2811 |
9 | 0.82 | 1.2926 | 0.6984 |
10 | 0.99 | 0.9912 | 0.8931 |
11 | 1.66 | 1.5972 | 1.8327 |
12 | 1.23 | 2.2135 | 1.2346 |
13 | 0.96 | 0.9209 | 1.2511 |
14 | 5.45 | 1.8412 | 5.4829 |
15 | 0.55 | 1.6093 | 0.392 |
16 | 1.01 | 1.6114 | 1.1065 |
17 | 1.04 | 1.5 | 1.34 |
Observations | Observed values (mg l–1) | First approach predicted values (mg l–1) | Second approach predicted values (mg l–1) |
---|---|---|---|
1 | 1.62 | 1.5204 | 1.420 |
2 | 0.99 | 0.8411 | 0.790 |
3 | –0.70 | 0.7428 | –0.550 |
4 | 0.92 | 0.6361 | 0.780 |
5 | 0.94 | 2.0858 | 0.9100 |
6 | 3.34 | 2.0732 | 3.200 |
7 | 0.69 | 0.9732 | 0.6300 |
8 | 0.74 | 0.8894 | 0.6200 |
9 | 0.79 | 0.9133 | 0.6800 |
10 | 1.16 | 0.8023 | 1.000 |
11 | 1.71 | 1.6937 | 1.500 |
12 | 1.17 | 0.7573 | 1.110 |
13 | 1.10 | 1.3245 | 0.980 |
14 | 1.27 | 1.0466 | 1.150 |
15 | 0.95 | 0.881 | 0.830 |
16 | 1.05 | 0.559 | 0.900 |
17 | 1.03 | 0.98 | 1.100 |
Principle component | Eigenvalue | Cumulative variance (%) |
---|---|---|
PC1 | 3.9 | 23.2 |
PC2 | 2.5 | 38.0 |
PC3 | 1.9 | 49.1 |
PC4 | 1.6 | 58.6 |
PC5 | 1.4 | 66.7 |
PC6 | 1.2 | 73.8 |
PC7 | 0.9 | 79.1 |
PC8 | 0.8 | 83.7 |
PC9 | 0.7 | 87.6 |
PC10 | 0.5 | 90.5 |
PC11 | 0.4 | 93.1 |
PC12 | 0.3 | 94.9 |
PC13 | 0.3 | 96.5 |
PC14 | 0.3 | 98.1 |
PC15 | 0.2 | 99.3 |
PC16 | 0.1 | 99.9 |
PC17 | 0.01 | 100 |