Figure 4. Estimated values for surface moisture
£p are in the range 15-35 millibars, where lower
values are darker, higher values are brighter
Although derived values for optical depth
generally agree with radiative transfer
calculations (Price, 1984), notably poor values
exist in some locations. These problem areas are
mostly far off nadir.
ERROR SOURCES
Many approximations have been used in the above
analysis. We simply list the error sources,
without attempting to quantify them in this short
paper:
1. Clouds produce variability in the
thermal infrared data that is not associated with
surface phenomena. This effect is relatively
severe, as shown in areas of black/white in
images 1-3. More sophisticated cloud filtering
is required.
2. Surface emissivity variations have been
neglected. There are two effects: a)
simultaneous variability of emissivity of
features sensed in channels 4 and 5 increases the
range of deduced temperatures in both channels.
This is a second order effect, b) variability
in the response of one spectral channel,
independent of the other, has the same effect as
a change in atmospheric transmittance r. This
effect should be included in the treatment of St.
3. The linear analysis of atmospheric
effects is approximate, and produces increasing
errors as the optical depth increases. In fact
the Kneizys et al. expression for k^ leads to the
value 1.45 for R, while actual computation for
the 5T for this data set leads to an effective
value of R of 1.35 (Price, 1984). This
illustrates the more exact treatment required for
values of r which are not much smaller than 1.
4. The crude expressions assumed for e(p)
and T(p) do not compare closely with actual
sounding data. In particular moisture does not
generally fall to zero above some relatively low
level of the atmosphere. However, these or
equivalent expressions are needed in order to
derive useful information from the derived values
of t and T , .
Figure 2. The area in Fig. 1 has been processed
in 40x40 blocks to produce values of optical
depth that range from .25 (darker tones) to .45
(lighter tones).
Figure 3. The area illustrated in fig. 1 has
been processed in 40x40 blocks to produce this
image of 6p/p, with the majority of the image in
the range of values .2-.4, i.e. moisture falls to
zero in the range 800-600 mb in areas with
surface pressure of 1000 mb. Higher values of
5p/p are brighter.