The process of soil erosion by water across a landscape is modeled by
mathematically linking the subprocesses of detachment, transport, and
deposition of sediments. Contemporary soil erosion models represent th
e raindrop detachment rate as a nonlinear function of rainfall intensi
ty, the parameters of which have to be experimentally derived from int
errill erosion plot data. We describe a model that predicts the rate o
f soil detachment by multiple raindrops impacting on a bare soil surfa
ce. The model depends on parameters of a soil-strength-dependent singl
e-drop detachment model and a bivariate raindrop-size distribution fun
ction. The simulated data is analyzed to represent raindrop detachment
rate as a linear and a nonlinear function of intensity. Equations tha
t relate the parameters of soil detachment rate vs. intensity function
s to the parameters of the single-drop detachment model are presented.