Formulations of albedo making a variety of simplifying assumptions about the nature of the diffuse
irradiance field do not appear to introduce significant errors in the calculation of albedo, except at low
solar elevations. In particular, it would appear that effects due to the directional nature of the sky
radiance have little overall effect on albedo, and it is sufficient to assume that the sky is isotropic.
The albedo does not appear to vary much between light- and heavy-aerosol concentration atmospheres,
except at relatively low solar elevations, as the influence of the diffuse irradiance is still relatively minor.
A parameterization of albedo through the definition of an albedo anisotropy factor (R H (0 sun )) should
be further investigated, as it appears to be relatively invariant with wavelength. This would lead to a
parameterization of spectral albedo based on a wavelength-dependent ’overcast sky’ albedo (e.g. the
bihemispherical reflectance) and a potentially wavelength-independent parameter R H (9 sun ) which would
be applicable for a wide range of illumination conditions.
Significant proportional errors can be introduced when making the various assumptions given above for
low solar elevations, and whilst this will generally be offset in absolute terms by the low values of
irradiance at these angles, such errors may be important for some applications.
6 - REFERENCES
Barnsley, M.J., Strahler, A.N., Morris, K.P., and Muller, J-P., 1994, Sampling the Bidirectional Distribution
Function (BRDF) of earth surface materials: I. Capabilities of current and future satellite sensors, Remote
Sensing Reviews, in press.
Dorman, J.L., and Sellers, P.J., 1989, A global climatology of albedo, roughness length and stomatal resistance
for atmospheric General Circulation Models as represented by the Simple Biosphere Model (SiB),
Journal of Applied Meteorology, 28, 833-855.
Eck. T.F., and Deering, D.W., 1990, Canopy albedo and transmittance in a boreal forest, Proc. IGARSS’90, 21-24
May 1990, Washington D.C.
Kimes, D.S., and Sellers, P.J., 1985, Inferring hemispherical reflectance of earth’s surface for global energy
budgets from remotely sensed nadir and directional reflectance values, Remote Sensing of Environment,
18, 205-223.
Matthews, E., 1983, Global vegetation and land-use: New high resolution data-bases for climate studies, Journal
of Climatology and Applied Meteorology, 22, 474-487.
Nicodemus, F.E., Richmond, J.C., Hsia, J.J., Ginsberg, I.W., and Limperis, T., 1977, Geometrical Considerations
and Nomenclature for Reflectance, NBS Monograph 160, Institute for Basic Standards, Washington,
D.C.
Pinker, R.T., and Laszlo, I., 1992, Modelling surface solar irradiance for satellite applications on a global scale,
Journal of Applied Meteorology, 31, 194-211.
Pinty, B„ and Ramond, D., 1986, A simple bidirectional reflectance model for terrestrial surfaces, Journal of
Geophysical Research, 91, D7, 7803-7808.
Ranson, K.J., Irons, J.R., and Daughtry, C.S.T., 1991, Surface albedo from bidirectional reflectance, Remote
Sensing of Environment, 35, 201-211.
Tanre, D„ Herman, M., and Deschamps, P.Y., 1983. Influence of the atmosphere on space measurements of
directional properties. Applied Optics, 22(5), 733-741.
Tanre, D.C., Deroo, C., Duhaut, P., Herman, M., Morcrette, J.J., Perbos, J., and Deschamps, P.Y., 1990.
Description of a computer code to simulate the satellite signal in the solar spectrum: 5S code.
International Journal of Remote Sensing, 11, 659-668.
Teillet, P.M., and santer, R.P., 1991, Terrain elevation and sensor altitude dependence in a semi-analytical
atmospheric code, Canadian Journal of Remote Sensing, 17, 1, 36-45.
Wilson, M.F., and Henderson-Sellers, A., 1985, A global archive of land cover and soils data for use in GCMs,
Journal of Climatology, 5, 119-143.
Zibordi, G., and Voss, K.J., 1989, Geometrical and spectral distribution of sky radiance : comparison between
simulations and field experiments. Remote Sensing Environment, 27, 345-358.