Table 3. Proportion of spectral Solar irradiance at surface by spectral
region. Also given is percent diffuse to global. Analysis of Dave’
(1978) atmosphere diffuse data set. Model 2 Gases with no aerosols.
Model 3 gases plus low loading (r’ a =0.09 0 5 fjm) . Model 4 gases plus
moderate aerosol loading (r’ a =0.45 0 .5 /¿m) . UV (0.31-0.38/im) , VS(.38-
.73um), Ml(.72-1 3|Uin) and 141(1.3-2.41/an) .
Sun Zenith Angle
Model 2
0°
UV VS Mi MR
UV
Direct
.039 .471 .385 .105
.031
Diffuse
.313 .635 .051 .001
.288
Global
.053 .479 .368 .100
.048
Diff(%)
29.6 6.6 0.7 0.1
39.8
Model 3
Direct
.038 .466 .386 .110
.031
Diffuse
.154 . 568 . 242 . 034
.142
Global
.052 .478 .370 .101
.048
Diff (55)
34.4 13.8 7.6 3.9
45.6
Model 4
Direct
.037 .444 .390 .129
.029
Diffuse
.077 . 528 . 340 . 056
.070
Global
.050 .472 .373 .104
.046
Diff (%)
50.8 37.4 30.5 17.8
63.9
45o 7oo
VS
Mi
Mi
UV
VS
NR
Mi
.468
.395
.106
.014
.474
.431
.110
.658
.054
.001
.220
.711
.850
.001
480
.373
.098
.039
.460
.387
.097
9.2
1.0
0.1
67.6
18.0
2.4
0.2
460
.397
.112
.014
.428
.434 .124
579
.245
.033
.111
.600
.257 .033
478
.374 .099
.040 .474
.386 .099
L8.7
10.1
5.1
74.3 33.8
17.8 8.8
.429
.402
.140
.012
.360
.434
.194
.528
.345
.056
.058
.521
.359
.062
.471
.378
.105
.042
.464
.385
.108
47.5
38.6
22.7
89.9
72.8
60.4
37.1
high aerosol loading) at selected Sun zenith
angles was used to examine the spectral region
variability. The global radiation percentages
given in Table 3 may be used to represent the
spectral region solar irradiance coefficients
(i.e., k) in Equation (6). As expected for both
an increasing Sun zenith angle (i. e. , CP to 7(P
6 S ) and an increasing aerosol loading (Model 2 to
3 to 4), there is increased scattering, producing
less direct radiation and more diffuse radiation.
For direct radiation, there is proportionally
less energy in the ultraviolet and visible
regions with a shift of energy to the near-IR and
middle-IR wavelengths. However, as evident by
the small changes in the global radiation
proportions between illumination and atmospheric
haze conditions, there is a strong compensating
effect of an increased diffuse radiation from
forward Mie scattering adding to the reduced
direct radiation. Differences between values in
the visible, near-IR and middle-IR have a range
of less than 3%. Hence, examination of results
indicates a single set of spectral region
proportions for the global radiation may be used
in Equation (6). The spectral proportions used
were from the 45° Sian zenith angle for the heavy
aerosol model (Model-4) of 0.046 ultraviolet,
0.471 visible, 0.378 near-IR, and 0.105 middle-
IR.
3.5 Surface Temperature Estimation
The calibrated brightness temperature for
bands 4 and 5 (Kidwell 1983) are used in a split
window technique to correct for atmospheric
absorption effects (Strong and McClain 1984) .
The technique was developed to extract sea
surface temperatures, assumirjg a constant sea-
surface emissivity.
17 = 3.6125*TB-11 - 2.5779*TB-12 - 10.05 (7)
Tg = 3.6446*Tb~11 - 2.6616*TB-12 + 5.2 (8)
T - surface temperature corrected for
atmospheric effects for NOAA-7 and
NOAA-9 respectively
TB-!! - AVHRR band 4 brightness temperature
T}3-12 _ AVHRR band 5 brightness temperature
The root mean square of AVHRR derived surface
temperature versus drifting buoy readings is
reported at 0.6°C (Strong and McClain 1984).
Unfortunately, small differences between the sea-
surface emissivity and the ground emissivity may
lead to large derived ground temperature errors.
For land surfaces, Cooper and Asrar (1989)
indicate the NOAA split window technique provides
land surface temperatures within + 3°C of In situ
measurements. To adjust the split window derived
soar face temperatures for land surfaces with an
emissivity different than that for water, the
following relationship from Vukovich et al.
(1987) was used.
Tg = T c (e s /6g)l/n
Tg - ground temperature
e s - sea surface emissivity
€g - ground emissivity
n — temperature exponent (I = eT 11 )
T c - temperature frcm split window procedure
The value of n, according to Price (1985), is
approximately 4.5. A sea surface emissivity (e s )
of 0.99 was used. The ground emissivity (eg)
was estimated for the study site to range frcm
0.93 in the arid region to the north to 0.97 in
the more densely vegetated area to the south
(Wolfe and Zissis 1978 and Taylor 1979). The
emissivity is approximately proportional to the
amount of vegetation and soar face water. We
assumed the derived spectral vegetation index,
ranging between 0 and 0.6 was linearly related to
the surface emissivity. Hence, a ground
emissivity was scaled by the NDVI using the
equation given next.
€g = 0.93 + (NDVI * 0.0667) (9)
4. ANALYSIS REPORT
Monthly mean precipitation, surface air and
dew-point temperature, and the height of the
lifting condensation level (LCL) relative to the
surface are given in Figures 2 and 3 for
Tambaoounda and Podor. Analysis of weather data
for Podor and Tambarounda indicates the rainy
seasons occur during midsummer and are associated
with the migration of the intertropical
convergence zone and the accompanying horizontal
flux of moisture in the lower levels. The
initiation of the rainy season has occurred as
early as April and terminated as late as October.
Though the amount of atmospheric moisture is
about the same at the two locations, the rainfall
is greater at Tambaoounda, which is south of
Podor. At both locations, the influx of moisture
produces a lower LCL height which increases the
potential for convective clouds and
precipitation, since less work will be required,
under this condition, to produce clouds and
precipitation. At Tambaoounda, the LCL height is
lower than that at Podor apparently due to the
lower surface air temperature, which is brought
about by the greater cloudiness at Tambaoounda
(i.e. , greater precipitation amounts) since the
moisture is about the same. This factor may be
attributed to a feedback mechanism since the
potential for cloudiness and precipitation
becomes greater at Tambaoounda, with a lower LCL
height.
Tables 4 and 5 provides the resultant AVHRR
derived surface parameters for the case studies
over the period 1981 to 1985. Derived parameters
presented in the table represent a 10 x 10 pixel
area average. The standard deviation over the
area is also presented in Tables 4 and 5 and
these are the values in the parentheses. Tables
4 and 5 also contain values representing two to
four week antecedent precipitation amount. It
260