Xw. Li et al., A HYBRID GEOMETRIC OPTICAL-RADIATIVE TRANSFER APPROACH FOR MODELING LIGHT-ABSORPTION AND ALBEDO OF DISCONTINUOUS CANOPIES, Science in China. Series B, Chemistry, life sciences & earth sciences, 38(7), 1995, pp. 807-816
A new model for light-absorption and albedo of a vegetation cover comb
ines principles of geometric optics and radiative transfer. It relies
on the gap probabilities and path length distributions to model the pe
netration of the irradiance from a parallel source and the single and
multiple scattering of that irradiance. The model is applied to the ve
getation covers of the discrete plant crowns that are randomly centred
both on the plane and within a layer of variable thickness (from h(1)
to h(2)) above it. Crowns assume a spheroidal shape with an arbitrary
height to width ratio (B/R). Geometric optics easily models the irrad
iance that penetrates the vegetation cover directly, and is scattered
by the soil, and exist without further scattering by the vegetation. W
ithin a plant crown, the probability of scattering is a negative expon
ential function of path length. Within crown scattering provides the s
ource for the singly scattered radiation, which provides the source fo
r double scattering, and then higher order pairs of scattering are sol
ved successively by a convolution-like function. Early validations usi
ng data from a conifer stand near Howland, Maine of USA show reasonabl
e agreement between the modeled and observed albedo.