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Table 1

Interpolation data on water depth h and Darcy-Weisbach resistance factor f and the effect of vegetation stem diameter d on the change rate of Darcy-Weisbach resistance coefficient f in each slope gradient (S is 0.0%, 1.0% and 2.0%, respectively)

Slope gradientParameterInterpolation number (n)
123456
S = 0.0% h (m) 0.02 0.03 0.04 0.05 0.06 0.07 
 fd=3 mm 0.0911 0.1078 0.1395 0.1392 0.1454 0.1844 
 fd=4 mm 0.0972 0.1744 0.1858 0.2519 0.2585 0.2610 
 fd=5 mm 0.1658 0.2096 0.2311 0.3511 0.3532 0.3810 
 (f4mm-f3mm)/f3mm 6.67% 61.68% 33.17% 80.94% 77.79% 41.51% 
 (f5mm-f4mm)/f4mm 70.52% 20.22% 24.41% 39.40% 36.64% 46.00% 
S = 1.0% h (m) 0.02 0.03 0.04 0.05 0.06 0.07 
 fd=3 mm 0.0957 0.0951 0.0967 0.1098 0.1459 0.1780 
 fd=4 mm 0.1460 0.1417 0.1533 0.2187 0.2328 0.2732 
 fd=5 mm 0.2121 0.2277 0.2512 0.2821 0.2991 0.3290 
 (f4mm-f3mm)/f3mm 52.56% 48.99% 58.57% 99.15% 59.53% 53.46% 
 (f5mm-f4mm)/f4mm 45.27% 60.69% 63.84% 28.99% 28.46% 20.42% 
S = 3.0% h (m) 0.01 0.015 0.02 0.025 0.03 0.035 
 fd=3 mm 0.0713 0.0834 0.0834 0.0806 0.1380 0.0973 
 fd=4 mm 0.1335 0.1256 0.1179 0.1489 0.1649 0.1831 
 fd=5 mm 0.1456 0.1476 0.1955 0.2320 0.2616 0.2925 
 (f4mm-f3mm)/f3mm 87.14% 50.61% 41.37% 84.75% 19.55% 88.18% 
 (f5mm-f4mm)/f4mm 9.09% 17.48% 65.71% 55.82% 58.60% 59.69% 
Slope gradientParameterInterpolation number (n)
123456
S = 0.0% h (m) 0.02 0.03 0.04 0.05 0.06 0.07 
 fd=3 mm 0.0911 0.1078 0.1395 0.1392 0.1454 0.1844 
 fd=4 mm 0.0972 0.1744 0.1858 0.2519 0.2585 0.2610 
 fd=5 mm 0.1658 0.2096 0.2311 0.3511 0.3532 0.3810 
 (f4mm-f3mm)/f3mm 6.67% 61.68% 33.17% 80.94% 77.79% 41.51% 
 (f5mm-f4mm)/f4mm 70.52% 20.22% 24.41% 39.40% 36.64% 46.00% 
S = 1.0% h (m) 0.02 0.03 0.04 0.05 0.06 0.07 
 fd=3 mm 0.0957 0.0951 0.0967 0.1098 0.1459 0.1780 
 fd=4 mm 0.1460 0.1417 0.1533 0.2187 0.2328 0.2732 
 fd=5 mm 0.2121 0.2277 0.2512 0.2821 0.2991 0.3290 
 (f4mm-f3mm)/f3mm 52.56% 48.99% 58.57% 99.15% 59.53% 53.46% 
 (f5mm-f4mm)/f4mm 45.27% 60.69% 63.84% 28.99% 28.46% 20.42% 
S = 3.0% h (m) 0.01 0.015 0.02 0.025 0.03 0.035 
 fd=3 mm 0.0713 0.0834 0.0834 0.0806 0.1380 0.0973 
 fd=4 mm 0.1335 0.1256 0.1179 0.1489 0.1649 0.1831 
 fd=5 mm 0.1456 0.1476 0.1955 0.2320 0.2616 0.2925 
 (f4mm-f3mm)/f3mm 87.14% 50.61% 41.37% 84.75% 19.55% 88.18% 
 (f5mm-f4mm)/f4mm 9.09% 17.48% 65.71% 55.82% 58.60% 59.69% 
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