By using the mass balances model and by introducing an erosion constan
t (mean annual relative loss of Cs-137) and depth distribution functio
n of Cs-137 in soil, a quantitative model of soil erosion rate using C
s-137 loss was developed for uncultivated soils. Depth distribution pa
tterns of Cs-137 in the soil profile, sampling years, and the amount o
f Cs-137 fallout each year were considered. The model shows that the e
stimated rate of soil erosion is controlled mainly by the distribution
pattern of Cs-137 in the soil profile. By inputting different depth d
istribution functions of Cs-137, the year of sampling and the differen
t input fraction of total fallout value each year, several simulation
results of soil loss were given. The results of numerical simulation p
roved that the relationship between the rate of soil loss and Cs-137 d
epletion is neither linear nor logarithmic. They are dependent on the
distribution patterns of Cs-137 in the soul profile, sampling year, an
d input fraction of total fallout value.