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Table 1

Statistics between measured and predicted soil detachment capacity using the established model equation of soil detachment capacity by rill flow for the verification datasets

EquationR2NSERE (%)MAE (%)RMSEn
Dc = 76.5904 S1.0148Q1.1224 (6) 0.9690 0.9564 –38.5373–20.5039 9.6862 0.1381 21 
Dc = 0.5534 (τ – 2.3123) (7) 0.8682 0.8669 –32.6061–43.8264 16.7757 0.2413 21 
Dc = 0.4211 (ω – 0.6891) (8) 0.9466 0.9431 –27.2453–23.5370 9.6607 0.1578 21 
Dc = 10.582(U – 0.0181) (9) 0.6463 0.5904 –85.5218–50.9887 28.9023 0.4233 21 
EquationR2NSERE (%)MAE (%)RMSEn
Dc = 76.5904 S1.0148Q1.1224 (6) 0.9690 0.9564 –38.5373–20.5039 9.6862 0.1381 21 
Dc = 0.5534 (τ – 2.3123) (7) 0.8682 0.8669 –32.6061–43.8264 16.7757 0.2413 21 
Dc = 0.4211 (ω – 0.6891) (8) 0.9466 0.9431 –27.2453–23.5370 9.6607 0.1578 21 
Dc = 10.582(U – 0.0181) (9) 0.6463 0.5904 –85.5218–50.9887 28.9023 0.4233 21 

Dc is soil detachment capacity by rill flow (kg m–2 s–1); S is slope gradient (%); Q is unit flow discharge (m2 s–1); τ is shear stress (Pa); ω is stream power (W m–2); U is unit stream power (m2 s–1); NSE is Nash–Sutcliffe model efficiency; RE is relative error (%); MAE is mean absolute error (%); RMSE is root mean square error; n is number of datasets.

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