A tank model consisting of three tanks was developed for prediction of runoff and sediment yield. The sediment yield of each tank was computed by multiplying the total sediment yield by the sediment yield coefficients; the yield was obtained by the product of the runoff of each tank and the sediment concentration in the tank. The sediment concentration of the first tank was computed from its storage and the sediment concentration distribution (SCD); the sediment concentration of the next lower tank was obtained by its storage and the sediment infiltration of the upper tank; and so on. The SCD, caused by the incremental source runoff (or the effective rainfall), was obtained by the theory of the instantaneous unit sediment graph (IUSG) and a sediment routing function. Using the SCD, the sediment yield was computed from the tank model as well as by the IUSG model. The sediment yield obtained from the tank model was then compared with that from the IUSG model. Finally, the tank model was verified on an upland watershed in northwestern Mississippi.
Nomenclature= infiltration and sediment infiltration coefficients of the first, the second, the third tank, 1/h and dimensionless A1, A2, A3 = runoff and sediment yield coefficients of the first tank, 1/h and dimensionless b = proportionality constant relating initial sediment concentration and shear stress B1, C1= runoff and sediment yield coefficient of the second tank and the third tank, 1/h and dimensionless C = crop management factor C 0 = initial sediment concentration for one unit of runoff, metric tons/m 3 C(t) = SCD at any time, metric tons/m 3 CON1, CON2, CON3 = sediment concentrations of the first, the second, the third tank, mg/L d = median sediment particle diameter, microns f 1 , f 2 , and f 3 = infiltration rates of the first, the second, the third tank, mm/h h(t) = IUH ordinate, m 3 /s HA1, HA2, HA3 = heights of runoff outlets (orifices) of the first tank, mm HB, HC = height of runoff outlet (orifice) of the second, the third tank, mm 350 Y. H. LEE AND V. P. SINGH h s (t) = IUSG ordinate, metric tons/h K = soil erodibility factor LS = slope length and gradient factor m = number of source runoff increments P = erosion control practice factor Q 1 , Q 2 , Q 3 = surface runoff from the first tank, cubic meters per second Q 4 = intermediate runoff (or interflow) from the second tank, m 3 /s Q 5 = groundwater runoff from the third tank, m 3 /s q p = peak flow rate, m 3 /s Q p = peak source runoff rate, m 3 /s r = hydraulic radius, cm R = rainfall intensity, mm/h S = bed slope S1, S2, S3= storage of the first, the second, the third tank, mm SY 1 , SY 2 , SY 3 = surface sediment yield of the first tank, tons/day SY 4 = intermediate sediment yield of the second tank, tons/day SY 5 = groundwater sediment yield of the third tank, tons/day SYf 1 , SYf 2 , SYf 3 = sediment infiltration rates of the first, the second, the third tank, tons/day T = travel time between the two sections, hours T p = watershed time to peak, hours U i = sediment yield from each source runoff i...