Table 1: Commonly used algorithms describing the soil detachment by raindrop impact.

Source Algorithm Parameters
[15,16] ei = a.P/I ei = Rainfall detachment rate, a = Rainfall detachability, P = Rainfall intensity,
I = Number of sediment settling velocity classes.
[29] EI = α.rβ EI = Rainfall detachment, r = Rainfall intensity,
α = Soil detachability, β = An exponent.
[29] ei = a.P/I [I - H(x, t)] ei = Rainfall detachment rate, a = Rainfall detachability, P = Rainfall intensity,
I = Number of sediment settling velocity classes, H = Shield layer.
[29] edi = adP (Mdi/M)H edi = Re-detachment of deposited particles, ad = Detachability of the deposited layer, P = Rainfall intensity,
Mdi = The mass per unit area of the sediment of class i in the deposited layer, M = The total mass of the sediment in the layer, H = Shield layer.
[118] e = a.p.Mg a = Detachability constant, P = Rainfall intensity, Mg = Particle mass on the surface.
[55] er = c0 (I2/Ws) exp(-ηh) er = Ejected particles by rain splash, c0 = Maximum sediment concentration generated by the raindrop
impact in the overlying water, I = Rainfall intensity, Ws = Settling velocity of sediment particles, η = The damping rate of the water depth,
h = Water depth.
[131] SS = 7.50 i0.41 ek1.14 c -0.52 SS = Soil splash, ek = kinetic energy,
i = Rainfall intensity, c = Clay percent.
[33] a = ce(40)/C(40P/D) a = Rainfall detachment rate, ce(40) = Experimental sediment concentration at t = 40,
C = Theoretical sediment concentration, P = Rainfall intensity,
D = Flow depth.
[132] EI = αr2 EI = Detachment by raindrop impact, α = A coefficient to be calibrated,
r = Uniform rainfall intensity.
[31] Dk(c) = Kk(c) . Rk(c)

Rk(c) = 1.030 ρ cos2 θ Σ ai di4 Vi2

Dk(c) = Soil detachment by raindrops, Rk(c) = Kinematic energy times unit of drop circumference, ρ = Density of water,
θ = Surface slope, ai = Number of drops in the class i, di = Mean drop diameter in class i,
Vi = Velocity of drops with diameter di.
[133] Ds = KdKEb Ds = Rate of soil detached by raindrop impact, Kd = Soil-dependent detachability coefficient,
KE = Kinetic energy of the rain, b = Dimensionless exponent varying between 0.9 for sandy soils and 1.8 for clays.
[134] Ds = KIIc Ds = Splash detachment, KI = Detachability of soil, I = Rain intensity,
c = An exponent that takes values in the range 1.1 [13] to 2 [134].
[135] Ds = KMMd Ds = Rate of soil detachment per unit area, KM = Detachability of soil, M = Momentum,
d = An exponent that takes values in the range 1.0 [15] to 2 [136].
[137] Di = KiI2 Di = Interrill detachment rate, Ki = Interrill erodibility constant,
I = Rain intensity.
[27] Dr = KdI(E - E0) Dr = Rainfall detachment rate, Kd = Detachability of rain, I = Rainfall intensity,
E = Unit kinetic energy of rainstorm, E0 = Unit threshold kinetic energy needed to initiate soil detachment.