data of the study area with nearest neighbor
resampling at 25-metre resolution, giving a RMSE
of planimetry of + 0.33 pixel. The census block
group boundaries were also converted into UTM
coordinates and raster format.
The biophysical data extracted from Landsat TM
data were: (1) land use/cover, particularly the
percentage of urban use, (2) normalized difference
vegetation index (NDVI), and (3) apparent surface
temperatures.
The land use/cover was extracted using a
supervised approach with the maximum likelihood
classifier. Eight land use/cover types were
extracted: (1) water, (2) forest, (3) commercial
lindustrial, (4) transportation, (5) agriculture in
pasture, (6) agriculture in crop, (7) low-density
residential, and (8) high-density residential. The
misclassifications were later manually corrected
area by area with the aid of a parallelpiped
classifier and ground truth from aerial
photography, thus achieving an overall accuracy of
99.1 per cent. The "commercial /industrial" cover
class constituted "urban use".
NDVI, which measures vegetation amount, was
extracted using TM band 4 (0.76-0.90 uim) and TM
band 3 (0.63-0.69 um) as follows:
NDVI = (TM4-TM3)/(TM4+TM3)
The value varies from -1 to +1 with an increase in
vegetation amount. The raw NDVI exhibited a range
of values from -0.4778761 to 0.9148936. The NDVI
image very clearly delineated the built-up areas
from the vegetated areas.
The apparent surface temperatures were extracted
from the thermal infrared TM band 6 (10.3-12.5 um)
using a quadratic regression model in the form:
T(K) = 209.831 * 0.834 DC - 0.00133 DC?
where DC is the digital counts between 0 and 255,
and T(K) is absolute temperature in Kelvin. The
resulting image of surface temperatures revealed
a range from 21?C to 38 C, with high surface
temperatures clearly delineating the built-up areas.
From the population census data, the following
socio-economic variables were extracted or
derived: (1) population density, (2) per capita
income, (3) median home value, and (4) per cent of
college graduates, by block groups. Each one of
these variables produced a map which was then
converted into raster format for analysis by the
IDRISI software.
3. INTEGRATION APPROACHES
3.1 Principal Components Analysis (PCA)
PCA was applied to the seven layers of bio.
physical and socio-economic image data describeq
above all aggregated at the census block group
level. The correlation matrix of these variables
indicated particularly strong negative correlation
between (1) NDVI and surface temperatures (r=.
0.88 at 0.0001 rejection level), and (2) NDVI and per
cent urban (r=-0.85 at 0.0001 rejection level) (Table
1). The implication is that NDVI by itself is a
versatile environmental quality variable. NDVI also
showed moderately positive correlation with per
capita income, median home value, and per cent
college graduates, as well as negative correlation
with population density. The first of the three
principal components extracted explained about 54
per cent of the variance (Table 2). This component
showed strong positive loadings on four variables,
namely, NDVI, per capita income, median home
value, and per capita income, and per cent of
college graduates, but also strong negative
loadings on three variables, namely, per cent of
urban use, surface temperatures, and population
density. The second principal component which
explained 21 per cent of the variance, showed only
one weak negative loading on NDVI, but positive
loadings on the remaining six variables (Table 2).
A plot of the component pattern indicates two
clusters of variables: (1) population density, per
cent of urban use, and surface temperatures verus
(2) per capita income, median home value, per cent
of college graduates, and NDVI (Figure 1). These
two clusters of variables suggest that the two
principal components represent two planes of data
similar in nature to those defined by the Tasseled
Cap features of Greenness and Brightness, which
are related to the plane of vegetation and the plane
of soils respectively (Crist and Cicone, 1984). The
first cluster of variables is "environmental" in
nature while the second cluster is "socio-
economic" in nature. It is interesting that NDVI falls
in the "socio-economic" cluster. These first plane
can be labelled as "Greenness" because of its
strong positive correlation with NDVI and the
second plane can be called "Economic Well Being"
because of its strong correlation with housing and
education variables. Clearly, PCA has succeeded
to integrate the biophysical environment with the
socio-economic characteristics of the population.
NDVI as an effective measure of "Greenness" can
be regarded as an excellent quality of life indicator.
A map of the first principal component scores by
block group for the study area is therefore an
excellent map of the quality of life of the population
living in each block group (Figure 2). The map
revealed high life quality areas in the southeast
and southwest edges of the county and the low life
quality areas in the middle of the county near the
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International Archives of Photogrammetry and Remote Sensing. Vol. XXXI, Part B7. Vienna 1996