A lumped model for streamflow routing in arid ephemeral channels has b
een developed. The governing equations for movement of flood waves sub
jected to transmission losses are simplified through a time averaging
process to develop an ordinary differential equation describing transm
ission losses as a function of distance, inflow, channel width, time p
arameters of flow and effective hydraulic conductivity. The resulting
equation has an analytical solution and simulates runoff volume and pe
ak discharge rates for individual storm events. The outflow hydrograph
is fairly well approximated with a triangular approximation. The mode
l is simplified and constructed to require a minimum of observed data
for calibration. It can also be used for ungauged basins in arid regio
ns through parameterization.