PH
the retrieved values. This process should be enhanced for low to medium leaf area indices, which is what we
actually observed (Figure 4). Chlorophyll concentration is less accurately estimated as compared to the
inversion process performed on the 6 input variables. Except for the white backgrounds, there is a general
overestimation of chlorophyll concentrations, that could compensate the general underestimation of leaf area
index. The same general pattern is observed for the leaf equivalent water thickness. The lesser retrieval
capabilities observed here as compared when estimating the 6 biophysical parameters is to be related to the
poorer reflectance spectra reconstruction capabilities in the red edge and the water absorption domains.
The compensation observed between leaf area index and chlorophyll concentration or leaf
equivalent water thickess can be explained as follows for natural and bright soils. In the visible and middle
infrared spectral regions characterized by pigments or water absorption, both an increase in leaf chlorophyll or
water contents, and in leaf area index induces a decrease in canopy reflectance. However, this explanation did
not hold for black soils for which an incease in leaf area index would lead to an increase in canopy reflectance.
However, these compensation features lead us to investigate the performances of a "synthetic" canopy variable
such as the canopy content in chlorophyll or water, which is the product between leaf area index and leaf
chlorophyll concentration or leaf equivalent water thickness. Canopy chlorophyll or water contents are now
estimated with a better accuracy as compared to leaf chlorophyll or water contents or even leaf area index as
presented in figure 5 and 6 . However, the estimates of these canopy variables over the white backgrounds are
Pop. Size
LAI
c ah
C,
LAI.C nh
LAI.C,,,
85 (°)
2.29
10.9
0.013
50.1
0.033
188 Bands
78 i 1 )
2.39
10.6
0.011
52.3
0.034
82 i 2 )
2.33
11.1
0.013
50.9
0.033
6 Variables to be retrieved:
75 ( 3 )
2.43
10.8
0.011
53.2
0.035
[LAI, 6„ s, C nh) C^, N]
88 (°)
2.74
10.1
0.014
46.1
0.039
6 Bands
77 i 1 )
2.92
10.4
0.012
49.3
0.042
84 ( 2 )
2.75
11.0
0.015
45.9
0.038
73(3)
2.94
10.6
0.012
49.2
0.041
96 (°)
2.61
19.7
0.025
38.3
0.051
188 Bands
81 0)
2.64
16.2
0.020
41.1
0.055
3 Variables to be retrieved
82 ( 2 )
0.68
16.0
0.023
23.4
0.022
[LAI, C nh , CJ
70 (3)
0.72
12.2
0.018
25.0
0.024
with
96 (°)
2.57
16.3
0.018
33.1
0.042
[6j= 28.6°, 5=0.33, V=1.23]
6 Bands
78(1)
2.63
13.5
0.014
35.8
0.046
82 ( 2 )
0.69
13.6
0.017
21.0
0.019
70(3)
0.74
11.0
0.012
22.5
0.021
Table 1. Root mean square error values ( rmse ) observed on 3 canopy' biophysical variables: LAI,
C ah (pg.cnr 2 ), C w (cm). The canopy contents of chlorophyll ( LAI.C ab in pg.cnr 2 ), and water
(LAI.C W in cm) were also investigated. The population size is presented for a selection of cases: (°) All plots
with successful inversion. ( : ) All plots with successful inversion and LAIX).5. f 2 ) All plots with successful
inversion but without a white background. ( 3 ) All plots with successful inversion, with LAIX).5 but without a
white background. The inversion was applied with retrieval of 6 or 3 variables, and using either the 188
AVIRIS like bands, or the 6 TM like bands,
3.2. Using few broad bands.
We first tried to invert the PROSPECT+SAIL model by retrieving the 6 biophysical parameters using the 6
Thematic Mapper broad bands. From a mathematical point of view, this inversion process was not obvious
because the number of unknowns was the same as the number of reflectance data. However, results show that
the inversion converged regularly for 88 plots over 96. The spectra simulated from the PROSPECT+SAIL
model using the retrieved values of the 6 biophysical variables show good reconstruction peformances with a
rmse value of 0.0212. The same features of biases and rmse as for the inversion using high spectral resolution
information are observed (figure 2a), but in an enhanced manner (figure 2c). However, the 4 biophysical
canopy variables are poorly estimated (table 1). This is not the case surprisingly for the 2 biochemical
composition variables, C ab and, C w that have rmse values very close to the one observed from the inversion
using high spectral resolution information. This result is again repeated when inverting to retrieve only 3 [C ab ,
C ^ LAI] of the 6 biophysical variables, the 3 others being assigned the same values as previously [6,=28.6°,
s=0.33, A/= 1.23] White soils lead also to poor estimates of the canopy variables for the same reasons as
188