IAPRS & SIS, Vol.34, Part 7, “Resource and Environmental Monitoring”. Hyderabad, India.2002
The regression equation with derived coefficients for various
channels is as follows.
SIC =— 84.124 + 0.53148 * Tb (10V) + 0.424172 * Tb (10H)
— 0.193778 * Tb (18V) — 0.043911 * Tb (18H)
In the above, we have used MSMR Tbs from 10 and 18 GHz
channels. While 10 GHz channel has a better transparency to
the atmosphere, it has a poorer spatial resolution of 75 kms
compared to 50 kms of the 18 GHz channel. All relevant
MSMR and SSM/I data were therefore brought to 75 km
resolution before attempting the regression analysis. The
resulting rms regression error is 6.62%.
Using the above regression equation, we have generated SIC
images over the Southern Ocean for two representative
months of Sept. 1999 and Jan. 2000. Fig. 4 shows a
comparison between MSMR derived and SSM/I observed SIC
images. This is done to examine the spatial characterization of
SIC in different sectors of the Southern Ocean. It can be seen
clearly that MSMR derived SIC images faithfully portray all
the features observed in SSM/I image shown alongside for
comparison.
199$
NEMR
SEPTEMBER,
Fig. 4 — Comparison between monthly average SIC derived
from MSMR Tb based algorithms and SSM/I for Sept. 1999
and Jan. 2000.
4.2 Development of SIC algorithm from MSMR
Polarization and Spectral Ratios
In order to reduce the effect of additive and multiplicative
errors in MSMR Tbs, we have also followed a different
approach of using the polarization (PR) and gradient (GR)
ratios, defined below, following (Gloersen et al., 1992):
PR =[Tbr(V)- Tbr (H) ]/[Tb¢(V) + Tl (H) ]
412
where f is the frequency (10 or 18 GHz), Tb is the
brightness temperature, and V & H - Vertical and
Horizontal polarizations. And
GR = [ Tb(18(p)) - Tb (10(p)) ] / [ Tb (18(p)) + Tb (10(p) ]
where p is the polarization - V or H. Use of PR and GR
also eliminates the effect of differences between center
frequency of the 18/19 GHz channels of MSMR and SSM/.
Spatial averaging effect due to 25 km resolution of SSM/I
VS. the 50 and 75 km resolutions of 18 and 10 GHz
channels of MSMR would of course effect the derived SIC
estimates somewhat.
For estimating the PR and GR, we have once again made
use of the 10 and 18 GHz channels of MSMR. The PR and
GR estimates derived from MSMR data were regressed
against the simultaneous and coincident SSM/I SIC values.
This regression was carried out over the areas mentioned
above (see Fig. 1). The regression equation below
SIC = 101.6459— 14691.9 * PR (10 GHz)
+ 14297.2 * PR (18 GHz) + 13958.7 * GR (H)
— 142163 * GR (V)
has an rms error of 7.57 95.
JANUARY, 2000
SWR
Fig. 5 — Comparison between monthly average SIC derived
from MSMR PR/GR based algorithms and SSM/I for Sept.
1999 and Jan. 2000
Based on the above PR & GR based algorithm, we have
generated SIC images using MSMR data for the two
seasons (Sept. 1999 and Jan. 2000). These are shown in Fig.
5 alongwith the corresponding SIC images generated using
SSMA data. These images depicting the SIC over the
Southern Ocean surrounding the Antarctica from the two
sensors viz. MSMR and SSM/I show very good feature-by-
feature spatial correspondence in all the sectors.