Commonly used algorithms describing the soil detachment by shallow overland flow.

Table 2: Commonly used algorithms describing the soil detachment by shallow overland flow.

Source	Algorithm	Parameters
[138]	D_i = K_i i²	D_i = Interrill detachment rate, K_i = Interrill erodibility factor, i = Rainfall intensity.
[139]	D_f = D_c[1-(G/T_c)] D_c = K_r. (τ_f - τ_cr)	D_f = The net detachment rate by flowing water, D_c = The detachment capacity of the flow, G = The percentage of sediment load into the passing flow, T_c = The transport capacity of flow, τ_f = Flow shear stress, τ_cr = Critical shear strength, and K_r = A constant.
[140]	D_i = K_i.I².S_f	D_i = Interrill detachment rate, K_i = Interrill soil erodibility factor, I = Rainfall intensity, and S_f = Soil slope factor.
[140]	D_f,i = K_i I_e Q_i C_c C_g C_s (R_s/w) SDR	D_f,i = Interrill detachment rate, K_i = Interrill erodibility, I_e = Effective rainfall intensity, Q_i = Interrill runoff rate, C_c = Canopy cover, C_g = Ground cover, C_s = Interrill slope adjustment factor, R_s = Spacing of rills, w = Width of rills, and SDR = Sediment delivery ratio.
[141]	D_c = 130.41q^0.89S^1.02	D_c = Detachment rate, q = Flow rate, and S = The tangent value of slope degree, V = Mean flow velocity, τ = Shear stress, and ω = The stream power.
	D_c = 0.344V^3.18
	D_c = 0.0017 τ^1.53
	D_c = 0.0088ω^1.07
[142]	D_i = K_i I q	D_i = The interrill detachment rate, K_i = The interrill erodibility coefficient, I = The rainfall intensity, and q = The interrill runoff rate.
[143]	e = K.C.P.h^0.5.S^1.5	e = Detachment by shallow surface flow, K = Linear coefficient between h and S, and average mass of soil detached per failure event (M), P = Probability that the shear stress of the burst-event exceeds the local resistance to detachment and induces tensile failure, C = Chezy coefficient, h = Flow depth, S = Bed slope.