417
3.2 Introducing the canopy properties in MIMICS
One of the main problems encountered when trying to use a theoretical model such as Mimics is that of
specifying the numerous input parameters and variables. Many of them are difficult to determine and it is
usually not possible to measure them during an extensive experiment such as the Agriscatt’88 campaign.
for the leaves, LAI, thickness, water content and dry matter density are not mutually independent) some
“reasonable” choices were made when the variables were not measured, insuring the consistency with the
measured variables (LAI, fresh and dry biomass of the leaves and stems, canopy height).
3.3 MIMICS results
The comparison of MIMICS outputs and Erasme measurements is given in figure 2 for C-band HH and in
figure 3 for X-band W, for each of the extreme incidence angles: 20° and 40°. A fairly good agreement is
found in C-band. In X-band, Mimics strongly underestimates the radar signal at 40° for the higher levels
of the biomass (day 169). The agreement is reasonable for the other days and for all days at 20°, although
more dispersion is observed than in C-band. This discrepancy in X-band may be due to the limits of a first
order radiative transfer model.
4 Simplified expressions for MIMICS components
Instead of directly fitting a semi-empirical model on the total backscattering coefficients calculated by Mimics,
we first tried to obtain simplified expressions for the different components of the backscattered signal. This
avoids compensation effects between parameters, that may appear when fitting a Semi-empirical model on the
total backscatter. After a sensitivity analysis, this was done by fitting simplified “water-cloud” like models
to the Mimics components. All the 36 vegetation data points of the Agriscatt’88 experiment were used
here.
4.1 Canopy transmittivity
The two-way canopy transmittivity can be expressed as a function of the total canopy water content m„:
presents the evolution of the canopy transmittivity with m v . As expected, the attenuation by the canopy
increases with increasing frequency. The polarization has a strong influence on the variation of B with the
The canopy properties used in Mimics are given in Table 1. The leaves and the stems are respectively
represented by fiat, disks and vertical cylinders. Keeping in mind the existing dependencies (as an example,
< 2 = exp(-2J3m„/cos0)
(4)
where B is a unique parameter fitted over the 36 data points. Table 2 gives the B values obtained and figure 4
incidence angle: in HH polarization, B is almost constant between 20° and 40°, whereas it strongly varies in
VV polarization. This is probably due to the vertical structure of a winter canopy, as pointed out by [11].
The B values obtained here are in excellent agreement with those given by [12].
4.2 Canopy direct backscatter
The direct backscatter component can be simplified by:
where L is the LAI, t 2 is given by eq. (4) and A is a unique parameter fitted over the 36 data points. Table 3
gives the A values obtained and figure 5 shows the fitting of eq. (5). The A parameter appears to be almost
constant with the incidence angle. As expected, it strongly increases with increasing frequency.
5 Coupling a simplified model to MIMICS
The previous part showed that in C-band, HH polarization, the direct backscatter term is negligible and the
ominant term is the attenuated soil direct backscatter. Thus, the following semi-empirical “water-cloud”
model is proposed as a simplified form for Mimics:
(6)