Table 12.2
Coefficients and goodness of TN loading regression by LOADEST
River
Type
a
a0
a1
a2
a3
a4
a5
a6
R
2
AIC
PPCC
b
PL
4
8.351
0.898
À0.033
0.401
97.540
À0.124
0.982
DQ
1
9.211
0.831
72.970
1.388
0.951
BX
3
5.925
0.946
0.168
83.100
2.145
0.961
ML
1
5.084
1.013
88.790
1.422
0.991
LL
1
5.084
1.013
88.790
1.422
0.991
LY
3
8.483
1.078
À0.830
87.260
1.931
0.978
NC
3
4.549
1.068
0.591
94.330
1.816
0.981
DH
9
4.149
1.199
À0.036
À0.048
0.403
0.308
0.046
89.350
2.224
0.971
CH
9
5.817
0.849
À0.086
À0.156
À0.139
0.020
À0.069
84.530
2.312
0.996
DD
3
2.959
1.029
0.171
86.153
2.541
0.846
ZH
3
2.859
1.213
0.177
71.384
2.253
0.964
GC
3
3.121
1.061
0.493
78.670
2.516
0.984
HH
3
3.192
0.964
0.142
84.512
2.541
0.953
XYL
7
7.505
0.765
À0.144
0.217
0.074
88.600
0.935
0.994
LYL
7
7.505
0.765
À0.144
0.217
0.074
88.600
0.935
0.994
WL
3
3.121
1.061
0.493
78.670
2.516
0.984
DG
1
5.084
1.013
88.790
1.422
0.991
XB
1
5.084
1.013
88.790
1.422
0.991
CF
3
3.159
1.158
0.180
95.178
1.253
0.993
Data source from Zhan et al. (2017)
a
Type 1: ln(L
i )
¼ a
0 + a
1 ln Q
Type 2: ln(L
i )
¼ a
0 + a
1 ln Q
+ a
2 ln Q
2
Type 3: ln(L
i )
¼ a
0 + a
1 ln Q
+ a
2 dtime
Type 4: ln(L
i )
¼ a
0 + a
1 ln Q
+ a
2 sin (2πdtime) + a
3 cos (2πdtime)
Type 5: ln(L
i )
¼ a
0 + a
1 ln Q
+ a
2 ln Q
2
+ a
3 dtime
Type 6: ln(L
i )
¼ a
0 + a
1 ln Q
+ a
2 ln Q
2
+ a
3 sin (2πdtime) + a
4 cos (2πdtime)
Type 7: ln(L
i )
¼ a
0 + a
1 ln Q
+ a
2 sin (2πdtime) + a
3 cos (2πdtime) + a
4 dtime
Type 8: ln(L
i )
¼ a
0 + a
1 ln Q
+ a
2 ln Q
2
+ a
3 sin (2πdtime) + a
4 cos (2πdtime) + a
5 dtime
Type 9: ln(L
i )
¼ a
0 + a
1 ln Q
+ a
2 ln Q
2
+ a
3 sin (2πdtime) + a
4 cos (2πdtime) + a
5 dtime
+ a
6 dtime
2
lnQ, ln(streamflow)
– center of ln(streamflow); dtime, decimal time
– center of decimal time
b
PPCC
probability plot correlation coefficient
280
F. Zhou et al.
Coefficients and goodness of TN loading regression by LOADEST
River
Type
a
a0
a1
a2
a3
a4
a5
a6
R
2
AIC
PPCC
b
PL
4
8.351
0.898
À0.033
0.401
97.540
À0.124
0.982
DQ
1
9.211
0.831
72.970
1.388
0.951
BX
3
5.925
0.946
0.168
83.100
2.145
0.961
ML
1
5.084
1.013
88.790
1.422
0.991
LL
1
5.084
1.013
88.790
1.422
0.991
LY
3
8.483
1.078
À0.830
87.260
1.931
0.978
NC
3
4.549
1.068
0.591
94.330
1.816
0.981
DH
9
4.149
1.199
À0.036
À0.048
0.403
0.308
0.046
89.350
2.224
0.971
CH
9
5.817
0.849
À0.086
À0.156
À0.139
0.020
À0.069
84.530
2.312
0.996
DD
3
2.959
1.029
0.171
86.153
2.541
0.846
ZH
3
2.859
1.213
0.177
71.384
2.253
0.964
GC
3
3.121
1.061
0.493
78.670
2.516
0.984
HH
3
3.192
0.964
0.142
84.512
2.541
0.953
XYL
7
7.505
0.765
À0.144
0.217
0.074
88.600
0.935
0.994
LYL
7
7.505
0.765
À0.144
0.217
0.074
88.600
0.935
0.994
WL
3
3.121
1.061
0.493
78.670
2.516
0.984
DG
1
5.084
1.013
88.790
1.422
0.991
XB
1
5.084
1.013
88.790
1.422
0.991
CF
3
3.159
1.158
0.180
95.178
1.253
0.993
Data source from Zhan et al. (2017)
a
Type 1: ln(L
i )
¼ a
0 + a
1 ln Q
Type 2: ln(L
i )
¼ a
0 + a
1 ln Q
+ a
2 ln Q
2
Type 3: ln(L
i )
¼ a
0 + a
1 ln Q
+ a
2 dtime
Type 4: ln(L
i )
¼ a
0 + a
1 ln Q
+ a
2 sin (2πdtime) + a
3 cos (2πdtime)
Type 5: ln(L
i )
¼ a
0 + a
1 ln Q
+ a
2 ln Q
2
+ a
3 dtime
Type 6: ln(L
i )
¼ a
0 + a
1 ln Q
+ a
2 ln Q
2
+ a
3 sin (2πdtime) + a
4 cos (2πdtime)
Type 7: ln(L
i )
¼ a
0 + a
1 ln Q
+ a
2 sin (2πdtime) + a
3 cos (2πdtime) + a
4 dtime
Type 8: ln(L
i )
¼ a
0 + a
1 ln Q
+ a
2 ln Q
2
+ a
3 sin (2πdtime) + a
4 cos (2πdtime) + a
5 dtime
Type 9: ln(L
i )
¼ a
0 + a
1 ln Q
+ a
2 ln Q
2
+ a
3 sin (2πdtime) + a
4 cos (2πdtime) + a
5 dtime
+ a
6 dtime
2
lnQ, ln(streamflow)
– center of ln(streamflow); dtime, decimal time
– center of decimal time
b
PPCC
probability plot correlation coefficient
280
F. Zhou et al.