MINTMP Correlation With
Dew Point Temperature
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his chapter reviews
climate data, collected from 303 U.S. cities, that indicate a relatively strong
correlation between MINTMP and dew point temperature. This correlation is more
obvious if cities whose average monthly precipitation (PRECIP) is less
than 3.5 inches*
are excluded from the database.
Influence of PRECIP on Dew Point and MINTMP Temperature
Correlations
Table 11-1, page 195,
shows two correlations between dew point temperature and MINTMP (average
monthly minimum temperature).
The first correlation within this table
disregards PRECIP as a variable; nevertheless, the sample linear correlation coefficient
for July (lowest correlation of all months) is about 80%.
The second correlation reduces the
statistical database by omitting cities whose PRECIP is less than 3.5
inches; the sample linear correlation coefficient for July then rises to about
96%.
The correlation for July is consistently the
lowest of the twelve months. Perhaps this observation relates to the fact that
July is the hottest month in the United States. The sample linear correlation
coefficient tends to increase on either side of July.
Another Look at PRECIP Influence
Table 11-2, pages
196-205, shows climate data for July, sorted by PRECIP. In this table, monthly
PRECIP values range from “0.0” to “10.2.” By comparing the PRECIP and dew point
temperature columns (highlighted by grayscale), while moving down the table,
two trends become obvious, namely:
• From the top of Table 11-2 (at 0.0 inches
of PRECIP) to the middle of the table (at PRECIP just short of 3.5 inches), we
see an inconsistent matching relationship between dew point and average monthly
minimum temperature.
• For PRECIP of 3.5 inches or more, we see
agreement between dew point temperature and MINTMP.
The table suggests that PRECIP, when above a
certain threshold, is a synergistic factor that improves the correlation between
dew point temperature and monthly PRECIP.
Dew Point Temperature and MINTMP
Are Analyzed for 303 Cities of the
U.S.
Table 11-3, pages
206-215, displays the arithmetic differences between MINTMP (average monthly
minimum temperature) and dew point temperature, the latter subtracted from the
former, for each month. This table is sorted by city and state.
This table shows many instances when
differences between dew point temperature and average monthly minimum
temperature are close to zero.
Accordingly, we may cautiously use Table
11-3, usually as a last resort, to estimate dew point temperature from an
independently reported MINTMP. Not all weather stations report dew point
temperature, but most weather stations report the MINTMP. In Chapter 10 (pages
186-187) we illustrate application of Table 11-3 to substitute MINTMP for dew
point temperature while estimating PMVSHADE. ■
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TABLE 11-1: INFLUENCE OF PRECIP ON DEW POINT TEMPERATURE AND
MINTMP CORRELATIONS |
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PRECIPI-TATION |
CORREL- ATION |
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THRESHOLD |
MEASURES |
JAN |
FEB |
MAR |
APR |
MAY |
JUN |
JUL |
AUG |
SEP |
OCT |
NOV |
DEC |
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None |
R2 |
0.952 |
0.936 |
0.926 |
0.870 |
0.785 |
0.673 |
0.647 |
0.700 |
0.802 |
0.876 |
0.998 |
0.930 |
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rxy |
0.976 |
0.968 |
0.962 |
0.933 |
0.886 |
0.820 |
0.804 |
0.835 |
0.895 |
0.936 |
0.999 |
0.964 |
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3.5
Inches |
R2 |
0.962 |
0.958 |
0.955 |
0.942 |
0.950 |
0.942 |
0.916 |
0.942 |
0.971 |
0.971 |
0.947 |
0.961 |
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rxy |
0.981 |
0.979 |
0.977 |
0.971 |
0.975 |
0.971 |
0.957 |
0.971 |
0.985 |
0.985 |
0.973 |
0.980 |
R2 implies the fraction of variation in the
dependent variable that is explained by the independent variable(s). In July, for example,
65% of variation in average monthly minimum temperature is explained by
dew point temperature – regardless of average monthly precipitation (see
first row of table, above). But, if average monthly
precipitation is at least 3.5 inches, then R2 increases
to about 92% (see threshold equal to 3.5 inches in table above). rxy, the Sample Linear Correlation Coefficient, is
the square root of R2. “+1” represents strong positive
correlation “-1” represents strong negative
correlation
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TABLE
11-2: JULY AT A GLANCE – SORTED BY PRECIP |
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PRECIP |
TEMPERATURE
°F |
THERMAL
COMFORT INDICES |
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STATE |
CITY |
DEWPNT |
MAXTMP |
MINTMP |
MAXTMP |
MINTMP |
AVETMP |
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CA |
ALAMEDA NAS |
0.0 |
54 |
71 |
56 |
-1.61 |
-4.64 |
-3.12 |
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CA |
BAKERSFIELD WSO AP |
0.0 |
51 |
98 |
69 |
3.55 |
-2.05 |
0.75 |
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CA |
CHINA LAKE NAF |
0.0 |
42 |
103 |
70 |
. |
-1.95 |
1.25 |
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CA |
EL TORO MCAS |
0.0 |
59 |
82 |
61 |
0.65 |
-3.55 |
-1.45 |
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CA |
FRESNO WSO AP |
0.0 |
53 |
98 |
65 |
3.58 |
-2.83 |
0.37 |