The mean upward-scattering coefficient of the downward-traveling photo
ns and the mean downward-scattering coefficient of the upward-travelin
g photons are two factors needed for the two-stream approximation to t
he radiative-transfer equation. Numerical values of each shape factor
just beneath the surface and at asymptotic depths give an indication o
f the range of values at intermediate depths in spatially uniform wate
rs with no sources and are used to obtain an approximate depth-depende
nt model for each shape factor. The shape factors are computed for dif
ferent surface-illumination conditions, wavelengths, and chlorophyll c
oncentrations.