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Conversely to the good performances above observed about the spectra reconstruction
capabilities, all of the retrieved values of the four canopy structural variables \LAI, 6 h s, TV] were poorly
estimated. In many cases, the estimated values are stacked to one of the 2 bounds imposed (Figure 3). On the
other hand, variables describing the biochemical composition of the leaves are retrieved with a much better
accuracy as shown in Figure 4 and table 1. This suggests unstable inversion processes for the structural
variables. Otterman (1990) explained part of these deficiencies when canopy variables appear as a product in
the mathematical expression of the model. That generally prevents them from being individually inferred.
Although structural variables did not appear as a simple product in the formulation of the canopy reflectance
model, they appear grouped in expressions that defined the bidirectionnal gap fractions observed in canopies. In
the same way, Jacquemoud (1993) showed from numerical experiments that the variables LAI and 0, were
dependent through the inversion process when using only the spectral variation as the source of information.
Additional constraints or information must be introduced to stabilize the inversion process. This could be
achieved by introducing complementary observations under several view and sun geometrical configuration.
This could also be achieved by assigning fixed values to some of the variables that are not changing
drammaticaly from one plot to an other, and that has little influence on canopy reflectance spectral variation.
We choosed this second solution. In the following section,we will investigate the performances of the retrieval
of a selection of the 6 canopy variables.
3.1.2. Retrieval of 3 canopy biophysical variables: ¡LAI, Cat, C^J. From simulation studies
with the PROSPECT+SAIL model, the leaf structure parameter N showed a limited influence on canopy
reflectance (Jacquemoud, 1993): Roughly, N drives the balance between reflectance and transmittance of the
leaf. A change in N induces only little variation of the single scattering albedo which is one of the most
effective variable that governs the spectral variation of canopy reflectance. In these experiments, N was
estimated from inversion of the PROSPECT model using individual leaf reflectance or transmittance spectra
measurements. Results show that N varies from 1.00 to 1.38 with an average value N=1.23. The hot-spot
parameter is the ratio between the average size of the leaves and canopy height. It follows that throughout
canopy development, the increase of canopy height follows tightly the increase of the average leaf size.
Consequently, the hot-spot parameter can be assumed to be constant We assigned the hot-spot parameter to its
mean value: 5 = 0 . 33 . This is in the same range as what was observed by Looyen et al. (1991) for sugarbeet crops
( 5 = 0 . 5 ). In the same way as for the two previous structural variables, we assigned to the leaf angle inclination
the value proposed by Baret et al. (1993): The value of 0,=28.6° was found to describe the variation of gap
fractions with the zenithal direction and leaf area index when assuming a random distribution of the leaves.
Gap fraction is one of the main characteristics that drive radiative transfer in canopies. Further, because the
assumption made about the randomness of the leaf position and their azimuthal distributions were identical for
the SAIL model and the simple Poisson model used to describe gap fractions, this average angle of 0,=28.6°
was thought to provide good results.
We investigated eventually the performances of the model inversion when retrieving one
structural parameter ( LAI) and the 2 biochemical composition variables ( C ab and C w ). Among structural
variables, LAI expresses the widest variations from plot to plot and is the most effective variable that drive
canopy radiometric response. The other 3 structural variables were assigned to the values described previously:
[6 ; =28.6°, 5=0.33, N=1.23].
For all the plots, the inversion process ended regularly. Results show that the reconstruction
performances decreased (mi5e=0.0330).as compared to the previous inversion with the 6 biophysical
parameters to be retrieved. The biases increase (figure 2b), particularly in the red edge and in the water
absorption domain (middle infrared). However, the mise is only slightly wavelength dependant, presummably
in connection with the noise associated to the mesurements.
The structural variable LAI is now better estimated, except for the white backgrounds (table
1). The scattering around the 1:1 line (Figure 4) increases with the leaf area index, with some underestimation
of the actual values except for most of the white backgrounds. The problems observed with the white soils could
be explained mainly by two facts: (i) The contribution of the soil background to canopy reflectance signal is
quite strong as compared to the black or natural soil backgrounds. An error on the background reflectance
values could induce large changes in canopy reflectance and in consequence in the retrieved values of canopy
biophysical characteristics. Although directional properties of the white fabric exhibits a quasi lambertian
behavior, errors in soil background reflectance was still possible. When installing the white fabric under the
canopy it was very difficult to maintain it perfectly flat and horizontal. This could create deviations from the
nominal value used that was measured when it was perfectly flat and horizontal. In the same way, the contrast
between soil background and leaf reflectances is maximum for the white fabric. An error in the structural
variables that were assumed perfectly known will lead to a significant change in canopy reflectance and thus in