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Table 5

Equations of different time steps in the MLR model

Time stepEquationTime stepEquation
Ft = 3.5 + 0.55Qt−1 19 Ft = 250 + 0.05Qt−1 + 0.31Pt−1 + 0.48Pt 
Ft = 2.75 + 0.65Qt−1 20 Ft = −50 + 0.33Qt−1 − 0.04Pt−1 + 0.43Pt 
Ft = 1.94 + 0.33(Qt−1 + Qt−221 Ft = −70 + 0.29Qt−1 + 0.06Pt−1 + 0.39Pt 
Ft = 2.97 + 0.66Qt−1 22 Ft = −25 + 0.25Qt−1 + 0.09Pt−1 + 0.26Pt 
Ft = 1.06 + 0.45(Qt−1 + Qt−223 Ft = 13 + 0.49Qt−1 + 0.01Pt−1 + 0.09Pt 
Ft = 4.47 + 0.68Qt−1 24 Ft = −5.0 + 0.7Qt−1 + 0.01Pt−1 + 0.08Pt 
Ft = 10.50 + 0.49Qt−1 25 Ft = −7 + 0.51Qt−1 + 0.05Pt−1 + 0.17Pt 
Ft = 17.10 + 1.18Qt−1 26 Ft = −3 + 0.67Qt−1 + 0.05Pt−1 + 0.04Pt 
Ft = 35.0 + 1.0Qt−1 27 Ft = −12 + 0.73Qt−1 + 0.03Pt−1 + 0.13Pt 
10 Ft = −20.0 + 0.6Qt−1 + 0.1Pt−1 + 0.1Pt 28 Ft = 60.0 + 0.75Qt−1 
11 Ft = 3.0 + 0.44Qt−1 + 0.1Pt−1 + 0.15Pt 29 Ft = 90.0 + 0.05(Qt−1 + Qt−2) + 0.4Pt−1 
12 Ft = −10 + 0.37Qt−1 + 0.07Pt−1 + 0.19Pt 30 Ft = 50.0 + 0.35(Qt−1 + Qt−2) + 0.2Pt−1 
13 Ft = −10 + 0.4Qt−1 + 0.16Pt−1 + 0.04Pt 31 Ft = 2.50 + 0.48Qt−1 + 0.13Pt−1 
14 Ft = −40 + 0.56Qt−1 + 0.08Pt−1 + 0.14Pt 32 Ft = −1.0 + 0.90Qt−1 
15 Ft = −90 + 0.32Qt−1 + 0.11Pt−1 + 0.28Pt 33 Ft = 11.0 + 0.48Qt−1 
16 Ft = −45 + 0.28Qt−1 + 0.14Pt−1 + 0.19Pt 34 Ft = 10.0 + 0.44Qt−1 
17 Ft = −40 + 0.35Qt−1 + 0.06Pt−1 + 0.25Pt 35 Ft = 3.5 + 0.65Qt−1 
18 Ft = −270 + 0.54Qt−1 + 0.07Pt−1 + 0.55Pt 36 Ft = 3.5 + 0.65Qt−1 
Time stepEquationTime stepEquation
Ft = 3.5 + 0.55Qt−1 19 Ft = 250 + 0.05Qt−1 + 0.31Pt−1 + 0.48Pt 
Ft = 2.75 + 0.65Qt−1 20 Ft = −50 + 0.33Qt−1 − 0.04Pt−1 + 0.43Pt 
Ft = 1.94 + 0.33(Qt−1 + Qt−221 Ft = −70 + 0.29Qt−1 + 0.06Pt−1 + 0.39Pt 
Ft = 2.97 + 0.66Qt−1 22 Ft = −25 + 0.25Qt−1 + 0.09Pt−1 + 0.26Pt 
Ft = 1.06 + 0.45(Qt−1 + Qt−223 Ft = 13 + 0.49Qt−1 + 0.01Pt−1 + 0.09Pt 
Ft = 4.47 + 0.68Qt−1 24 Ft = −5.0 + 0.7Qt−1 + 0.01Pt−1 + 0.08Pt 
Ft = 10.50 + 0.49Qt−1 25 Ft = −7 + 0.51Qt−1 + 0.05Pt−1 + 0.17Pt 
Ft = 17.10 + 1.18Qt−1 26 Ft = −3 + 0.67Qt−1 + 0.05Pt−1 + 0.04Pt 
Ft = 35.0 + 1.0Qt−1 27 Ft = −12 + 0.73Qt−1 + 0.03Pt−1 + 0.13Pt 
10 Ft = −20.0 + 0.6Qt−1 + 0.1Pt−1 + 0.1Pt 28 Ft = 60.0 + 0.75Qt−1 
11 Ft = 3.0 + 0.44Qt−1 + 0.1Pt−1 + 0.15Pt 29 Ft = 90.0 + 0.05(Qt−1 + Qt−2) + 0.4Pt−1 
12 Ft = −10 + 0.37Qt−1 + 0.07Pt−1 + 0.19Pt 30 Ft = 50.0 + 0.35(Qt−1 + Qt−2) + 0.2Pt−1 
13 Ft = −10 + 0.4Qt−1 + 0.16Pt−1 + 0.04Pt 31 Ft = 2.50 + 0.48Qt−1 + 0.13Pt−1 
14 Ft = −40 + 0.56Qt−1 + 0.08Pt−1 + 0.14Pt 32 Ft = −1.0 + 0.90Qt−1 
15 Ft = −90 + 0.32Qt−1 + 0.11Pt−1 + 0.28Pt 33 Ft = 11.0 + 0.48Qt−1 
16 Ft = −45 + 0.28Qt−1 + 0.14Pt−1 + 0.19Pt 34 Ft = 10.0 + 0.44Qt−1 
17 Ft = −40 + 0.35Qt−1 + 0.06Pt−1 + 0.25Pt 35 Ft = 3.5 + 0.65Qt−1 
18 Ft = −270 + 0.54Qt−1 + 0.07Pt−1 + 0.55Pt 36 Ft = 3.5 + 0.65Qt−1 

Ft is the simulated runoff at the time step t; Qt−1 is the observed runoff at time step t 1; Pt is the average precipitation at time step t.

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