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. 2023 May 13;9(5):e16290. doi: 10.1016/j.heliyon.2023.e16290

Table 4.

Selection of the best input combination for stage-discharge modeling using gamma test.

Model No. Model Input Combination Mask Gamma value V-ratio Standard Error
M1 H(t) 1 −0.00355 −0.00420 0.04888
M2 Q(t-1) 1000 0.21723 0.86894 0.12072
M3 H(t-1) 10 0.09970 0.39878 0.13718
M4 H(t-2) 100 0.22233 0.88932 0.12306
M5 Q(t-2) 10000 0.19905 0.79618 0.13641
M6 H(t), Q(t-1) 10010 −0.00618 −0.02473 0.00964
M7 H(t), Q(t-2) 10001 −0.00837 −0.03347 0.00826
M8 H(t), H(t-1) 11 −0.00378 −0.01512 0.00624
M9 H(t), H(t-2) 101 −0.00687 −0.02748 0.00669
M10 Q(t-1), H(t-2) 1100 0.14441 0.57766 0.01595
M11 Q(t-1), H(t-1) 1010 0.14324 0.57298 0.12913
M12 Q(t-2), H(t-1) 10010 0.11259 0.45034 0.02556
M13 Q(t-2), H(t-2) 10100 0.18501 0.74005 0.11421
M14 H(t-1), H(t-2) 110 0.14911 0.59646 0.02773
M15 H(t-2), Q(t-2), H(t-1) 10110 0.09782 0.39129 0.02599
M16 H(t-2), Q(t-2), Q(t-1) 11100 0.10623 0.42491 0.02526
M17 H(t-1), H(t-2), Q(t-1) 1110 0.14737 0.58946 0.01398
M18 Q(t-1), Q(t-2), H(t-1) 11010 0.11715 0.46861 0.02302
M19** H(t), Q(t-2), H(t-2) 10101 −0.01025 −0.04099 0.01149
M20 H(t), H(t-1), H(t-2) 111 −0.00591 −0.02365 0.00757
M21 H(t), H(t-1), Q(t-2) 10011 −0.00684 −0.02737 0.00751
M22 H(t), H(t-1), Q(t-1) 1011 −0.00872 −0.03488 0.00927
M23 H(t), H(t-2), Q(t-1) 1101 −0.00311 −0.01244 0.00433
M24* H(t), Q(t-2), Q(t-1) 11001 −0.01142 −0.04567 0.00898
M25 Q(t-1), Q(t-2) 11000 0.11881 0.47524 0.02353
M26 H(t), H(t-2), H(t-1), Q(t-1) 1111 −0.00274 −0.01097 0.00581
M27 H(t), H(t-2), H(t-1), Q(t-2) 10111 −0.00527 −0.02107 0.00745
M28 H(t), Q(t-1), Q(t-2), H(t-1) 11011 −0.00872 −0.03487 0.00783
M29 H(t), Q(t-1), Q(t-2), H(t-2) 11101 −0.00401 −0.01604 0.00640
M30 H(t-1), H(t-2), Q(t-2), Q(t-1) 11110 0.10364 0.41457 0.02555
M31 H(t), H(t-1), H(t-2), Q(t-2), Q(t-1) 11111 −0.00393 −0.01571 0.00628

Note: *Chosen as input combination 1 and **Choose as input combination 2.