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COMPARATIVE ANALYSIS
OF
OPERATIONAL FORECASTS
VS
ACTUAL WEATHER CONOITIONS
IN
AIRLINE FLIGHT PLANNING
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(NAS»-CR-167864) COMPARITIVB INULYSIS CF N85-35
OPBP&TIOhlL FORECASTS VERSUS ACTUAL HBATHBii
CONDITIONS IN AIRLINE FLIGHT PLANNING,
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laaaarch Caatar, Clavalaad, Ohio 44US
A aeudr waa eoaluccad on e>M lapact at aor* elsalY and accuraca waachar data on alrlina flight
planaiag with ch* aaphaala on fual tavinga. Thia voluaa of ehd rapore dlaeuaaaa eh* raaulea
of Taak III of eh* four aajor eaaka Included la th* atudr* Taak III coaparad flight plana
dovalopad oa ch* Suleland foracaac with actual data obaarrad by th* aircraft (and avaragad
ovar 10 dagraa tagaanca). Tha raaulea ahowad chat ch* avarag* dlffaranc* baevaaa :ha foracaac
and obaarvad i Ind apaad waa 9 kea. without cooaldarlag diracclon, and th* avarag* dlffaranc*
loch* coaponanc of ch* foracaac wind parallal to eh* dlractioa of th* obaar-^ad wind waa 13
kea. - both lodlcaclng that eh* Suleland foracaac uadaraaclaataa tha wind apaada. Th* Root
Haan Sduar* (RMS) vaccoc arror waa 10.1 kea. Th* av*ra«* abaolut* dlffaranc* in diracclon
baewaan th* foracaac and obaarvad wind waa 26 dagraaa and eh* caaparacur* dlffaranc* waa 3
dagraa* Canelgrad*. Than* raaulea ladlcat* that eh* foracaac aodal at wall aa eha varlfylag
analyala uaad to dovalop coaparlton flight plana In Taaka I and II waa a Halting factor and
ehac tha avarig* pocanclal fual taviaga or panalcy ara up to 3.6 parcane dapandlng on eh*
diracclon of flight.
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SASA-C-166 (Ra* 10.79)
zee SPEAS
TA8LE OF CONTENTS
*********************
Page
Number
1. INTRODUCTION 1
2. SUMMARY 2
2.1 Magnitude of Forecast Differences 4
2.2 Sign of of Forecast Differences 5
3. ANALYSIS METHODOLOGY 8
3.1 Data Sources 3
3.2 Data Normal ization. 10
4. FINDINGS 17
4.1 BLUE Airlines Findings 17
4.2 Supplemental BLUE Airlines Findings..., 23
4.3 RED Airlines Findings 25
4.4 Supplemental RED Airlines Findings. 29
APPENDIX A - FINDINGS BY REGION, DIRECTION OF FLIGHT AND
AIRLINE
pro SPEAS
1 .
1. INTRODUCTION
★**■****★**★**★*★*★**
PRC Speas, assisted by David R. Bornemann Associates, Inc., has conducted
analyses of flight plan data for the National Aeronautics and Space
Administration-Lewis Research Center under Contract #NAS3-22748.
The objective of these analyses was to assess the potential improvements
in fuel savings which may be possible from improved meteorological
data. Flight plans calculated from prescribed input parameters and
meteorological data sets were used as quantitative indicators of differ-
ences in fuel burn and other relevant parameters. Flight plan data were
provided through the cooperation of two airlines which will be referred
to as "BLUE Airlines" and "RED Airlines" throughout this report in order
to maintain anonymity.
The work program under this contract was divided into four tasks. This
volume of the final report presents the findings of Task III which
involved comparisons of actual flight plan winds and temperatures from an
operational forecast with the actual winds and temperatures observed by
flights equipped with an Aircraft Integrated Data System (AIDS).
Subsequent sections of this volume describe the analysis methodology and
the results for Task III.
SPEAS
2 .
2. SUMMARY
***************
The Task III analysis compared actual wind and temperature observations
taken by AIDS equipped aircraft during eight months of 1979 with data
from the flight plans used by those flights. The flight plans were based
upon the NWS forecasts valid near the time the flights operated and were
computed on the RED or BLUE Airlines flight planning systems. Flight
plans for flights of the other airlines that use the BLUE Airlines system
were also included in this analysis.
The objective of the Task III analysis was to determine differences that
existed between the forecast winds and temperatures and those actually
observed by the aircraft. In Task I, differences were determined
(measured by fuel burn, flight time and air miles) between the forecast
and the actual as represented by the NWS forecast and analysis models,
after the data were subjected to the editing, smoothing, and other
adjustments inherent in the model.
The key findings in Task III were:
• Based on analysis of 2,430 flight segments when the flight plan
winds and temperatures based upon the NWS forecast were compared
to actual data observed by the aircraft and averaged over 10 degree
segments, difference between the forecast and observed wind speed
was 9 kts., the direction difference averaged 26 degrees and the
average temperature difference was 3*C. The average difference in
the component of the forecast wind parallel to the direction of the
PPC SPEAS
3 .
observed wind was 13 kts. The Root Mean Square (RMS) vector error
was 30.1 kts. When the wind is always from the direction with
maximum impact on the direction of flight a 13 kt. error results in
fuel burn and time penalties of up to 15 minutes and 2,835 kg (932
gal.) of fuel for the average B747 flight. These flight segments
were from operational routes which were not minimum fuel tracks and
may not have been in the area of maximum wind and thus actual errors
may be larger.
• Although BLUE and RED Airlines data agre'id that the absolute value
of the average temperature errors was 3*C, BLUE found the temper-
atures warmer than forecast while RED found them colder than
forecast. Similarly, BLUE found the wind direction forecast error
toward decreasing azimuthal directions while RED found errors toward
increasing azimuth eastbound and decreasing westbound, indicating
that weather data interpoUtion errors probably exist in one or both
flight planning systems.
Computer programs were developed to extract the wind and temperature data
from the flight plans and AIDS tapes, reduce them to comparable flight
segments, and produce statistics on the differences between the forecast
and actual winds and temperatures. While the flight plan winds and
temperatures were normally already available as averages 'of ten degree
longitude segments, the AIDS observations were typically spaced at 200 km
intervals and averages for 10 degree segments had to be developed.
A cubic spline function was used to represent the AIDS flight's wind
direction, speed, temperature and latitude as a continuous function of
longitude along the flight path. The discrete values of these parameters
were then determined for each five degree meridional crossing - i.e.,
SOW, 45W, 40W, 35W, etc. Average values for the ten degree segment
were then determined weighting the midpoint twice the weight of each
endpoint.
SPEAS
4 .
Segment data were checked for matches of month, day, flight number,
origin, destination position and flight level. Segments for which the
AIDS flight did not match the operational flight plan were discarded.
2.1 MAGNITUDE OF FORECAST DIFFERENCES
Matching data from AIDS flights
and flight plans
were found for 2,430
segments distributed regionally as
follows :
SLUE
RED
Airlines
Airlines
Eastbound North Atlantic
394
358
Westbound North Atlantic
696
736
Eastbound Polar
4
79
Westbound Polar
13
109
Eastbound Mid-Atlantic
9
Westbound Mid-Atlantic
32
Differences between the flight plans and AIDS data per flight segment,
and thus between the forecast and the observed, are summarized below:
BLUE RED
Airlines Airlines
Average Algebraic Difference
Wind Direction
Wind Speed
Temperature
Average of Absolute Values of Differences
-5 deg
-9 kts
-2"C
+1 deg
-5 kts
+rc
Wind Direction
29 deg
20 deg
Wind Speed
14 kts
13 kts
Temperature
3"C
3 C
Average Difference in Component of
Forecast Wind Parallel to Observed Wind
16 kts
8 kts
RMS Vector Error
33 kts
24 kts
pPC SPEAS
5 .
Using data from Task I on average North Atlantic flight times and fuel
burns, it was determined that if the wind were always from the direction
with maximum impact on the direction of flight this error results in fuel
burn and time penalties of up to 15 minutes and 2,835 kg of fuel for a
B747 flight. This fuel burn penalty, or potential savings, amounts to
3.6 percent of the fuel burn for the flight.
Since the criteria for matching AIDS flights and flight plans resulted
in some 70 to 80 percent of segments being rejected, a supplemental
analysis was conducted with relaxed criteria to expand the size of the
sample. In this second run segments with flight level differences of
plus or minus 2,000 feet between the flight plan and AIDS data were nut
rejected. This resulted in a sample of 1,788 BLUE Airlines segments and
1,282 RED Airlines segments for a total of 3,070 segments. Even though
the sample increased by 72 percent the average forecast error only
changed by 0.5 degrees on wind direction, 0.2 kts. on speed, and 0.34*C
on temperature, leading to the conclusion that the original sample was
large enough to be representative of the real world even though many data
had to be rejected.
2.2 SIGN OF FORECAST DIFFERENCES
Since the average algebraic differences between the forecast values and
the observed values were determined by subtracting the observed value
from the forecast value, the algebraic sign of the differences provided
further data on the forecast errors.
pro SPEAS
6 .
For the North Atlantic region the means of the algebraic differences
between the operational flight plan and the AIDS data were:
Temperature
rc)
Wind
Direction (deg)
Speed
(kts)
BLUE Airline
Eastbound
-2.28
-5.35
-8.27
Westbound
-2.53
-4.17
-8.97
RED Airline
Eastbound
+1.97
+1.94
-6.39
Westbound
+1.69
-2.04
-4.24
For both airlines the average wind speed differences were always nega-
tive, meaning the AIDS winds were stronger and implying that wind speeds
were underestimated which confirms the findings of the other tasks in
this study.
Negative temperature differences mean temperatures were warmer than
forecast and the findings on temperature were somewhat incongruous.
Even though both airlines' data agreed that the temperature forecasts
were in error by approximately 3*C, the BLUE Airlines data showed the
temperatures warmer than forecast while the RED data implied temperatures
were colder than forecast (positive differences). Regarding wind
direction, negative differences mean the forecast wind is from a lower
azimuthal direction than the actual wind, or in other words, considering
pro SPEAS
7 .
that t(H» average wind direction should be from 270 degrees, negative
differences suggest actual winds more northwesterly than forecast
and positive differences suggest actual winds more southwesterly than
forecast. On wind direction, the BLUE Airlines differences were always
negative while the RED Airlines differences (for the larger North
Atlantic sample) were positive eastbound and negative westbound. No
information available to PRC Speas suggests an explanation for these
latter two incongruous findings and It is suspected that they are the
result of features peculiar to the weather data interpolation techniques
in use by the RED or BLUE Airlines or both.
PPC SPBAS
8 .
3. ANALYSIS METHODOLOGY
•k-kirirtlrirkirklrkirttititiiitititiitifkirkitirk
The objective of Task III was to determine differences that existed
between actual winds and temperatures and those derived from the National
Weather Service forecasts by airline flight planning systems. In Task I
airline flight plans were used to determine differences that existed
between the forecast and the verifying analysis as depicted by the
NWS models, the Seven Level Primitive Equation Model and the Flattery
Analysis Model, but this approach could not detect anomalies that may
have been introduced by the flight planning systems or the NWS forecast
model. Here, the forecast winds and temperatures from operational flight
plans were compared directly to winds and temperatures observed by AIDS
equipped aircraft and the results may represent the most accurate measure
to date of the differences between expected wind/temperature fields and
those actually encountered.
3.1 D ATA SOURCES
The data included in Task III were collected for NASA during 1979 by
eight international airlines. Flight plans and AIDS data were collected
from the seven airlines that use the BLUE Airlines flight planning
system, and from RED Airlines. AIDS automatically collected on-board the
aircraft and stored on magnetic tape, readings of position, altitude,
temperature, wind velocity and time. Since AIDS was coupled to the
pPC SPBAS
9 .
Inertial Navigation System (INS) and other on-board computers, the data
gathered by AIDS were extremely accurate,
Data collected by the airlines using the BLUE system were collected
during the first four months of 1979 and for August through November,
Data from RED Airlines flights were collected for the same months except
that July was Included and November was not. However, no RED AIDS data
were available for January, February and March, Therefore, the analysis
of RED Airlines data was based on the five months - April, July, August,
September and October.
Data were collected by the eight airlines for some 250 days by some 80
AIDS equipped aircraft. Since most of the airlines were principally
North Atlantic operators, most of the AIDS data were for the North
Atlantic, Middle Atlantic, Caribbean or Polar regions. However, some
data were collected by flights through the Mid East or Far East.
Flight plans for RED Airlines AIDS equipped flights were collected for
NASA on magnetic tape throughout the year. Copies of all BLUE Airlines
flight plans produced on the BLUE flight planning system were also
collected. Raw AIDS data from the various airlines were collected,
quality controlled and reformatted by a government agency as part of a
global weather experiment.
pPC SPEAS
10 .
3.2 DATA NORMALIZATION
NASA specified that the Task III analysis should compare flight plan
segments of 10 degrees of longitude with corresponding AIDS segments.
Therefore, the principal data reduction task was the normalization of the
flight plan and AIDS data in to common 10 degree segments.
For most off-airways segments flight plan data were already presented
in 10 degree segments. For these segments the forecast winds and
temperatures could be read directly from the RED Airlines flight plans
and derived from the wind data on the BLUE Airlines plans. These winds
and temperatures represent the average values for the 10 degree segment
as determined by the respective flicjht planning system. Since each of
these airlines use a different algorithm for interpolation between data
points, it is not likely that both would develop identical winds and
temperatures for any given segments. The values they do develop,
however, must be considered to be reasonably representati ve of the
average segment winds and temperatures determined from the NWS forecast,
and represent the techniques which are used by many of world's airlines.
For airways segments identified on the flight plans by navigational aids
or other checkpoints, 10 degree longitude segments were not clearly
defined. Latitudes and longitudes locati'^g airways checkpoints were
not included on many of the flight plans making it impossible to define a
10 degree segment on airways. It may have been possible with manual
SPSAS
11 .
intervention in the otherwise automated analysis process to define
airways segments of approximately 10 degrees of longitude. However, due
to such things as multiple use of the same checkpoint identification in
different parts of the world and the highly variable length of airways
segments, this analysis would have been very difficult and would have
added little additional data since most of the segments were off airways.
Normalizin^g the AIDS data to 10 degree segments was a more complex
problem, AIDS data could not be compared directly, since AIDS reporting
points did not coincide with flight plan checkpoints. Although both sets
of data followed the same track (or else the flight was rejected as a
mismatch), the AIDS data were captured every 13 or 14 minutes at random
positions along the route. On a typical North Atlantic flight, there
would be about 20 AIDS observations between SOW and lOW longitude. By
contrast, the corresponding flight plan would include only six or seven
checkpoints, normally at ten degree meridians and whole degrees of
latitude. Before any meaningful data comparisons could be made, it was
necessary to develop a technique to "map" the 'AIDS observations onto the
flight plan checkpoints.
After considering linear and geographic interpolation schemes similar to
those used in the RED, BLUE and other airline flight planning systems it
was decided that the AIDS wind direction, speed, temperature and latitude
should be represented as continuous functions of longitude along the
pro SP£AS
12 .
0
flight path and representative segment values determined from these
functions.
An interpolation technique was therefore required to develop simulated
AIDS data at the flight plan positions, i.e., ten degree meridians and
whole degrees of latitude, for purposes of comparison. Normal curve fit
routines, such as multiple regression or Box-Jenkins techniques, were not
deemed suitable for this purpose; these techniques are generally used to
forecast or extrapolate data outside the range of observations; however,
this task required careful interpolation of data between observations.
The Polynominal approximation is considered to be the best technique for
this purpose.
The AIDS data elements of interest (temperature, wind speed, and wind
direction) all have the property that they are "continuous”, i.e.,
are gradually changing over time (or distance) and do not have discon-
tinuities or gaps in the data. Temperatures, wind velocities and
directions change gradually and do not jump from one value to another.
For this type of data, cubic polynominals have been found to produce the
best interpolations; cubic polynominals produce a continuously varying
curve, or "spline", through the data observations in such a way as to
minimize errors in curvature. This technique has been previously
applied to meteorological conditions.
CPC SPEAS
13 .
This "cubic spline" technique was applied to all AIDS flights \/ith
at least 14 data reports, and for which a corresponding flight plan
existed. Longitude was used as the independent variable in the spline
develor.i(ient process, so that data (temperature, east-west and north-south
component of the wind) could be derived for any longitude. These data
were computed for every five degrees of longitude, and then a "1-2-1"
weighting technique was applied to calculate the average value for a
given ten degree segment so as to correspond to the segments on the
flight plan. (The 1-2-1 weights are simply Romberg integration with two
sub-intervals.) For example, the calculation of the average temperature
for a segment from 30W to 40W longitude was based on single weighting of
the derived temperatures at 30W and 40W combined with a double weighting
of the 35W temperature.
The following table of wind speeds and temperature, based on AIDS data
for a trans-Atlantic flight, demonstrates the cubic spline technique:
prC SPBAS
14 .
WIND SPEED (KTS) TEMPERATURE (-*C)
Spline
AIDS
Lat/Lonq
AIDS
Spline
34
44N/80W
47
62
45,59
75W
47,47
47
93
65,86
46N/70W
47,48
48
102
110
65W
48
47
68
95
49N/60W
46
43
56
60
55W
42
43
52
--
51N/50W
50,56
50
100
80,110
45W
56
56
91
112
52N/40W
55,57
55
76
90,79
35W
58
57
53
70
53N/30W
57,59
57
45
51,46
25W
59
59
65
49
54N/20W
57,51
57
64
66,63
15W
50
50,51
84
72
55N/10W
47,49
47
107
87,119
5W
53
49
100
107
54N/OW
54
53
These derived spline values were then subjected to the 1-2-1 weighting
techniques to produce the following segment averages:
44N/80W to 46N/70VI
46N/70W to 49N/60W
49N/60W to 51N/50W
51N/50W to 52N/40W
52N/40W to 53N/30W
53N/30W to 54N/20W
54N/20W to 55N/10W
64
kts,
-47
92
kts.
-46
58
kts,
-45
86
kts,
-54
74
kts,
-57
52
kts,
-59
70
kts.
-51
prc SPEAS
15 .
These calculated segment averages were then compared to the corresponding
values on the computer flight plan. In accordance with standard meteoro-
logical practice, all calculatirns involving wind were performed on the
scalar components of a given wind velocity; these scalar components were
then recombined to produce the appropriate wind vector.
Having resolved the AIDS data into 10 degree segments, it was then
necessary to match AIDS segments with the appropriate flight plans
and verify that the routes, flight levels, and forecast times were
comparable.
The BLUE Airlines flight plans were collected by copying the outgoing
queue of all flight plans produced by the system and periodically dumping
the queue onto magnetic tape. Thus, these tapes included many plans that
were not relevant to this analysis which had to be removed from the data
during preliminary processing. A more significant problem resulted from
the presence of more than one flight plan for the same flight. When
several flight plans existed for the same flight number and date the
plan that the aircraft actually followed had to be determined first by
comparing the plans to the AIDS route. Of course, in some case the
aircraft actually followed a route other than the one in any of the
plans. In these cases data were salvaged for that portion of the route
which did match.
pro SPF.AS
16 .
A similar procedure was followed for the RED Airlines data. However, in
this case only plans from AIDS flights were included on the tape.
Having matched operational airline flight plans and AIDS flights a final
check on flight level and routing was made. Flight plan segments with
flight levels or checkpoints that did not match the AIDS data were
discarded initially. However, when it was determined that a large number
of segments was rejected, a second run was made which retained all flight
plan segments whose flight levels were within plus or minus 2,000 feet of
the AIDS flight levels.
%
pCC SP£AS
17 .
4. FINDINGS
★*****★*★★*★*■**★
The results of the comparisons between the AIDS data and the corre-
sponding flight plan segments based on the operational forecast are
presented in this section. Results from plans developed by the BLUE and
RED systems are presented separately as are findings by region and
direction of flight.
4.1 BLUE AIRLINES FINDINGS
In the initial run, matching data from AIDS flights and BLUE flight plans
were found for 1,148 segments. Data for approximately 11,000 AIDS
segments were collected by the seven airlines using the BLUE Airline
flight planning system. Therefore, matching data were found for some 10
percent of the segments.
Based upon a sampling of the data it was determined that about 16 percent
of the segments could not be matched because the AIDS flight levels or
routings were not the same as the planned routings or flight levels. The
remaining 74 percent of AIDS segments could not be matched to flight plan
segments because a corresponding flight plan could not be found. It was
eventually determined that the BLUE flight planning system output queue
was not dumped onto the magnetic tape frequently enough and flight plans
were lost during 24 to 48 hour periods. It is estimated that this
PPC SPBAS
18 .
resulted In the loss of up to 50 percent of the otherwise valid segment
comparisons.
The regional and directional distribution of the 1,148 valid segment
comparisons was as follows:
North Atlantic Eastbound 394
North Atlantic Westbound 696
Polar Eastbound 4
Polar Westbound 13
Mid-Atlantic Eastbound 9
Mid-Atlantic Westbound 32
As in Tasks I and II, the results of the segment comparisons were
presented in the form of histograms which depict the number of occur-
rences of a given temperature or wind difference between the flight plan
segments, and the AIDS derived segments. These data are included in
Appendix A to this volume of the report for both BLUE and RED Airlines
results. The data in the Appendix present the findings fay direction of
flight and region, and include the algebraic mean of the differences as
well as the variance, standard deviation and 90 percent confidence limits
for the temperature difference, the wind direction difference and the
wind speed difference, the difference in speed between the component of
the forecast wind parallel to the actual wind and the actual wind, the
similar difference for the component perpendicular to the actual wind
pPC SPEAS
19 .
(the ciross-coinponent), and the magnitude of the vector difference. The
RMS of the Vector Error is also included for each region, airline and
direction of flight group at the end of Appendix A,
Figure 4-1 summarizes the BLUE Airlines results by region and direction
of flight. The results are presented in several forms so that they
may be meaningful to the widest audience. It was believed that, tradi-
tionally, pilots and others concerned with flight planning refer to wind
"forecast error" as the differences between the forecast and observed
wind, as defined by the differences between the two scalar quantities
wind directions and wind speed. Thus, if the forecast wind were 290
degrees at 100 kts. and the observed wind were 270 degrees at 120 kts.,
one would say the "forecast error" was 20 degrees and 20 kts. Using this
definition of "forecast error" the mean forecast error for all segments
was found to be 28.5 degrees and 13.8 kts for the wind and 2.9’C for the
temperature.
Results according to the above definition are identified in Figure 4-1 as
the "Algebraic Differences" which include the algebraic sign of the
average differences between the forecast value and the observed value,
and the "Absolute Value of Differences" which eliminate the sign or
directional nature of the differences.
SPEAS
TASK III RESULTS
AVERAGE SEGMENT DIFFERENCES BETWEEN FORECAST AND ACTUAL
BLUE AIRLINE DATA
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CPC SPEAS
21 .
Using data from Task I on average North Atlantic flight times and fuel
burns, it was determined that if the wind were always from the direction
with maximum impact on the direction of flight this error results in fuel
burn and time penalties of up to 15 minutes and 2,835 kg of fuel for a
8747 flight. This fuel burn penalty, or potential savings, amounts to
3.6 percent of the fuel burn for the flight.
However, this finding may be misleading if taken out of context because,
in reality, elimination of the forecast error would result in a new route
selection for the flight on the improved forecast which would maximize
the savings. In this analysis the route is the same on the AIDS observed
weathfar as on the forecast weather.
While the presentation of "forecast errors" as defined above will be
meaningful to some, if not most readers, it is not mathematically correct
since the wind is a vector and one cannot refer to the independently
determined differences (or error) between the scalar components as the
difference between the vectors. Therefore, in order that the results
presented here may be related to other mathematically sound forecast
verification data that may be more meaningful to meteorologists, the
other quantities presented in Figure 4-1 were determined.
It is interesting to consider the meaning of the findings regarding the
mean of the algebraic differences. Reference to Figure 4-1 shows that
Pi'C SPEAS
22 .
for both directions, and for nearly all combinations of region and
forecast parameter especially on the North Atlantic where there Is
a substantial ly higher number of observations, all of the means are
negative. Since these differences are obtained by subtracting the AIDS
derived value from the flight plan value, the negative numbers mean
that the AIDS values were larger, on the average. Since the AIDS data
represent the actual and the flight plans represent the forecast, these
data show that wind speeds are higher than forecast (again confirming the
findings from the other tasks) and temperatures are warmer than forecast
on the average. Regarding wind direction, negative differences mean the
forecast wind Is from a lower azimuthal direction than the actual wind,
or In other words, considering that the average wind direction should
be from 270 degrees, negative differences suggest actual winds more
northwesterly than forecast.
4.2 SUPPLEMENTAL BLUE AIRLINES FINDINGS
Since so many segments were rejected because a corresponding flight
plan could not be found in the BLUE Airlines data. It was decided that
the analysis would be rerun with a relaxation of the criteria for
matching segments. It was assumed that, if a substantially higher
number of segments could be Included in the sample without changing the
result significantly, the sample was large enough in the first place to
represent the real world and the loss of some of the BLUE Airlines data
did not distort the findings.
pro s;>ws
23.
For the reanalysis run the requirement that segment flight levels match
was changed to a requirement that the AIDS flight segment be within plus
or minus 2,000 feet of the flight plan segment. A match was still
required on the beginning and end points of the segment. Under these
conditions matches were found for 1,788 segments distributed as follows:
North Atlantic Eastbound
581
North Atlantic Westbound
1,142
Polar Eastbound
4
Polar Westbound
14
Mid-Atlantic Eastbound
12
Mid-Atlantic Westbound
35
A summary of the mean of the differences of the absolute values is
presented in Figure 4-2 for each region and direction along with the
differences between these data and the data from Figure 4-1 which used
the more stringent flight level matching criterion.
The differences of 0.5 degrees on wind direction, 0.2 kts. for wind
speed, and 0.3*C for temperature are negligible.
As might be expected when more comparisons from different flight levels
are included, the averages of the algebraic differences also changed, but
by relatively small amounts. For the North Atlantic region, each of the
forecast parameters had larger negative differences with the larger
PPC SPEAS
24 .
Figure 4-2
TASK III RESULTS
SEGMENT FORECAST ERRORS
BLUE AIRLINE DATA
MEAN OF THE ABSOLUTE VALUES OF DIFFERENCES BETWEEN FORECAST FLIGHT PLAN
SEGMENTS AND AIDS DERIVED SEGMENTS
{RELAXED FLIGHT LEVEL MATCHING CRITERION)
WIND
TEMPERATURE
Direction (deq) Speed (kts)
Eastbound North Atlantic
22.8
15.5
3.4
Westbound North Atlantic
30.7
13.3
3.2
Eastbound Polar
0
0
0
Westbound Polar
42,6
15.7
2.4
Eastbound Mid Atlantic
48.8
13.5
2.4
Westbound Mid Atlantic
54
9.4
1.5
All Segments
29.0
14.0
3.2
DIFFERENCES BETWEEN ABOVE
(FIG. 4-2
VALUES AND MATCHED FLIGHT LEVEL
DATA MINUS FIG. 4-1 DATA)
VALUES
Eastbound North Atlantic
0.8
0.2
0.4
Westbound North Atlantic
0.9
0.3
0.2
Eastbound Polar
0
0
0
Westbound Polar
0,7
0.6
0.2
Eastbound Mid Atlantic
9.1
0.9
0.3
Westbound Mid Atlantic
2.8
0
0
All Segments
0.5
0.2
0.3
Source: PRC Speas Analysis
of BLUE Airline data.
PPC SPEAS
25 .
number of observations, implying that the forecast errors were larger,
which would be expected v/hen different flight levels are compared.
4.3 RED AIRLINES FINDINGS
Matching AIDS data and flight plan data were found for 575 segments which
were included in the statistical analysis. This represents 22 percent of
the AIDS derived segments,
A sample of six day's data was reviewed manually to determine why no
matching segments were found for the remaining 78 percent of AIDS
segments. Based on this sample:
• 28 percent were airways segments;
f 16 percent were at different flight levels;
• 5 percent had different flight numbers and could not be identified
positively with the AIDS flight;
• 7 percent were on a different route;
• 22 percent had no corresponding operational flight plan for the same
date and flight number. (The possibility that these flight plans
had the wrong flight date was checked but the flights did not exist
on the preceding or following day either.)
The regional and directional distribution of the 575 segment comparisons
was as follows:
PPC SPEAS
26 .
North Atlantic Eastbound 165
North Atlantic Westbound 327
Polar Eastbound 36
Polar Westbound 47
The RED Airlines results are summarized in Figure 4-3. As with the BLUE
Airlines results, more detailed data are included in Appendix A.
The forecast errors indicated by the RED Airlines data are quite similar
to those from the BLUE Airlines data, The average segment temperature
error is almost identical at 3"C. The wind speed error is slightly
smaller at 12.9 knots. However, the average wind direction error is
nearly ten degrees less at 19,6 degrees. The RMS of the vector error for
the RED data was 24.0 and the magnitude of the vector' difference was 20.2
kts.
While the data in Figure 4-3 confirm that the magnitude of the forecast
errors are comparable to those found in the analysis of the BLUE Airlines
data, consideration of the algebraic differences shows some inconsistency
between the findings for the two airlines.
The negative wind speed differences imply that actual wind speeds are
normally higher than forecast - a finding consistent with the BLUE
Airlines data and with the findings throughout the other tasks in this
study. The predominantly positive temperature differences imply actual
pPC SPBAS
TASK III RESULTS
AVERAGE SEGMENT DIFFERENCES BETWEEN FORECAST AND ACTUAL
RED AIRLINE DATA
27
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Source: PRC Analysis of RED Airline Data
28 .
temperatures colder than forecast and, as discussed earlier, positive
wind direction differences mean winds from a lower azimuthal heading or
more southwesterly than forecast while negative differences denote winds
more northwesterly than forecast, or from a higher azimuthal heading.
These data suggest two incongruous conclusions. First, even though
both RED and BLUE agree that the average segment temperature forecast is
in error by 3*C, one airline consistently finds the forecast temper-
atures too warm while the other finds them too cold. Second, wind
direction forecast errors tend to be dependent on the direction of
flight, according to the RED Airlines data.
Since the average direction errors are so small, the second conclusion
may be merely a statistical quirk. If it is not, it cannot be explained
by any information that was available to PRC Speas and it is suspected
that it is the result of the weather data interpolation scheme used by
RED Airlines. Similarly, tnere is no explanation for the BLUE Airlines'
tendency toward larger and more northwesterly wind direction errors and
it too must be the result of an inherent feature in the flight planning
system.
Regarding the temperature errors, no explanation can be offered for the
inconsistency and these must certainly be the result of the flight
planning system's processing algorithm.
pPC SPEAS
29 .
4.4 SUPPLEMENTAL RED AIRLINES FINDINGS
Although the supplemental run was conducted primarily because of the lost
BLUE Airlines data, the RED data were also included in the rerun with the
relaxed flight level criterion,
In the rerun 707 additional matching segments were found bringing the
total to 1,282. These segments were distributed geographically as
follows :
North Atlantic Eastbound 358
North Atlantic Westbound 736
Polar Eastbound 79
Polar Westbound 109
The results of the analysis with the supplemental data are summarized in
Figure 4-4.
As with the BLUE Airlines data, the 120 percent increase in the number of
segments compared did not change the results appreciably. The average
wind direction error changed by 1.9 degrees, the speed changed by 0.4
kts. and the temperature changed by 0.4*C.
CrO SPEAS
30 .
Figure 4-4
TASK III RESULTS
SEGMENT FORECAST ERRORS
RED AIRLINE DATA
MEAN OF THE ABSOLUTE VALUES OF DIFFERENCES BETWEEN FORECAST FLIGHT PLAN
SEGMENTS AND AIDS DERIVED SEGMENTS
(RELAXED FLIGHT LEVEL MATCHING CRITERION)
WIND
TEMPERATURE
Direction (deg) Speed (kts)
m
Eastbound North Atlantic
16
16.4
3.6
Westbound North Atlantic
22.8
12.0
3.4
Eastbound Polar
22.0
10.5
2.8
Westbound Polar
30.1
13.6
3.3
All Segments
21.5
13.3
3.4
DIFFERENCES BETWEEN ABOVE
(FIG. 4-4
VALUES AND MATCHED FLIGHT LEVEL
DATA MINUS FIG. 4-3 DATA)
VALUES
Eastbound North Atlantic
2.5
1.1
0.5
Westbound North Atlantic
l.I
0.5
0.4
Eastbound Polar
0.3
1.9
0
Westbound Polar
5.3
0.4
0.6
All Segments
1.9
0.4
0.4
Source: PRC Speas Analysis of RED Airline data.
SPEAS
APPENDIX A
FINDINGS BY REGION, DIRECTION OF FLIGHT, AND AIRLINE
SPSAS
I
I
Tf » « »
»**»? 7 *
Tf«4Hf«*
w*»444t«
?{ 45 if 4f {} w #
45 44 55 44 44 45 45
44 45 44 45 45 45 44
^ ^ ^ ^ ^
44 44 44 44 45 45 44 44
45 45 44 45 45 44 44 44
45» 45 45 44 44 45 44 45
45 45 45 45 * 45 44 44 45 45 *
45 45 44 45 # 45 44 44 45 45 45
45 44 45 45 fi« 45 45 45 *45
44 44 * 44 44 45 45 44 44 4444 44
44 45 4 5 * 45 44 44 44 44 44 45 45 45
45 45 ***45 44 45* **45 45* *
*44****.**ff»*»#****44 ft
NUMBER OF OCCURRENCES BY DIFFERENCE
Temperature Difference in Degress Centigrade
Operational Segments MINUS AIDS Derived Segments
MEAN = -2.27664975 •
VARIANCE s 9.91585072
MEAN (ABSOLUTE DIF.)= 2.99746193
STANDARD DEVIATION = 3.14894438
90? CONFIDENCE LIMITS -7.45666326 TO 2.90336376
TOTAL OCCURRENCES = 394
CARRIER: BLUE DIRECTION: Eastbound REGION: North Atlantic
SPEAS
80
!
A-2
78
1 ,
76
1
74
1
72
1
70
1
1
!
68
1
'
66
t
64
1
62
1
1
60
1
1
58
1
56
1
54
1
52
i
1
50
t
1
48
1
46
1
1
44
1
1
J
42
1
1
40
1
1
38
1
1
i
1
36
1
1
.1
-1
34
1
t
32
1 *
30
1 ^
1
28
1
26
•i
1
24
22
i
20
18
16
14
S * «• ft 44 * * »
12
4r» ft*
10
» ft* ftftftftftftftftft
‘I
8
ft ft ftftSftftftftftftftftft *»*
6
ft ftftft ftftftftftftftftftftftftftftftftftftft
1
4
ft ft ftftftftftftftftftftftftftftftftftftftftftftftftftft ft ft ftft
2
*
ft’4ftft***ftftftftftft»ftftftftft«*ft*ft»ftftftftftftftftftftftft*ftft* ftftft* ft
*
I
+
1
1
1
1
+
1
t
1
1
+
t
1
1
1
+
1
1
1
1
+
1
1
1
+
1
1
1
1
+
t
1
I
1
+
1
1
1
1
+
t
i
9
1
+
1
- - - ^
-90
-60 -30 0 +30 +60
+90 '
NUMBER OF OCCURRENCES BY DIFFERENCE
Vlind Direction Difference in Degrees
Operational Segments MINUS AIDS Derived Segments
MEAN r -5.35279188
VARIANCE = 1076.98468
MEAN (ABSOLUTE DIF.)= 22,0228426
STANDARD DEVIATION = 32.8174447
90% CONFIDENCE LIMITS -59.3374885 TO 48.6319047
TOTAL OCCURRENCES = 394
CARRIER: BLUE DIRECTION: Eastbound REGION: North Atlantic
SPEAS
i
A-3
80
78
76
74
72
70
68
66
64
62
60
58
56
54
52
50
H8
46
44
42
40
38
36
34
32
30
28
26
24
22
20
18
16
14
12
10
8
6
4
2
I
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1
t
I
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!
I
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n n It n
« » » » * W
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if « K *
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ft « *ft*ftft»«ft-3Kv‘ftftft«ft**ftttft
ft ft ftftftftftftftftftftftftftftftftftftftftftftftft ft
ft ft ftftftftft ftftftftftftftftftttftSftftftftftftftftftSftftftft
— I--.}.-- — +-««-+_
-60 -30 0 +30
ft
+ _+„ — +
+60 +90
HUMBER OF OCCURREHCES BY DIFFERENCE
Wind Speed Difference in Knots
Operational Segments MINUS AIDS Derived Segments
MEAN =
VARIANCE =
MEAN (ABSOLUTE DIF.)=
STANDARD DEVIATION =
90? CONFIDENCE LIMITS
TOTAL OCCURRENCES =
-8.27226463
351 -0989
15.3053435
18.7376333
-39-0956714
393
TO 22.5511421
REGION: North Atlantic
CARRIER: BLUE DIRECTION: Eastbound
3PEA5
80
78
76
74
72
70
68
66
64
62
60
58
56
54
52
50
48
4b
44
42
40
38
36
34
32
30
2b
26
24
22
20
1b
16
14
12
10
8
6
4
2
»
«
«
««|
««««««
«««««««
«««««««««
» »»*«*»*»««#«*»***##
H
*
'+■
-90
-60
+■
■+■
■+■
■+■
-30
+30
4^0
+90
NUMBER OF OCCURRENCES BY DIFFERENCE
Cross-Component Difference in Knots
Operational Segments MINUS AIDS Derived Segments
MEAN = -4.39694656
VARIANCE = 478,081619
MEAN (ABSOLUTE DIF.)s 15.8676845
STANDARD DEVIATION = 21.8650776
90% CONFIDENCE LIMITS -40.3649993
TOTAL OCCURRENCES = 393
TO 31.5711062
CARRIER; BLUE DIRECTION; Eastbound REGION: North Atlantic
A-4
80
78
76
7^
78
70
68
66
64
62
60
58
56
54
52
50
48
48
44
42
40
38
36
34
32
30
28
26
24
22
20
18
16
14
12
10
8
6
4
2
«
a
*
*
w
«
* «
***
«« »«««#«««
«««««««««««»«
««»«««««««««»««««»«
« « i(4( » §
»
«
K
*
*
'+■
+•
-90
'+■
-60
•+•
+-
'+•
+30
«
+60
+90
NUMBER OF OCCURRENCES BY DIFFERENCE
A-5
Parallel-Component Difference in Knots
Operational Segments MINUS AIDS Derived Segments
MEAN =
VARIANCE s
MEAN (ABSOLUTE DIF.)=
STANDARD DEVIATION =
90% CONFIDENCE LIMITS
TOTAL OCCURRENCES =
•13.6259542
469.460599
18.4249364
21 .6670395
-49.2682341
393
TO 22.0163258
CARRIER: BLUE DIRECTION: Eastbound REGION: North Atlantic
SPSAS
A-6
80
1
78
1
76
1
74
1
72
1
70
1
68
1
66
1
54
1
62
I
60
1
58
1
56
1
54
!
52
1
50
1
48
1
4b
1
44
1
42
1
40
1
38
1 *
36
1
34
1 ««««
32
{ ««««
30
j *******
28
I
26
{
24
1 ««««««««
22
1
20
1 »«««««««»
18
1 «^«««««««
16
1 »«««««««««
14
!«««««««{««« »
12
1 ********** * *
10
1 ««««««#««««« *
8
1 »««{(««««««««« **
6
1 «« »
4
1 «««««««««»«««««««»« * ***
2
m»\.rnu„«mni\w,wm ii ■■■■■,|. ■ ■ ■ - ,1 ■ ■ .ii ■ , 1 ■l■^■ilt . i—
—90 “60 “30 0 +30 +60 +90
NUMBER OF OCCURRENCES BY DIFFERENCE
Magn3.T:ude of V-actor Difference in I&iota
Operational Segments MINUS AIDS Derived Segments
MEAN = 26.2213741
VARIANCE = 445.902648
MEAN (ABSOLUTE DIF.)= 26.2213741
STANDARD DEVIATION = 21.1164071
90% confidence LIMITS -8.51511563 TO 60.9578637
TOTAL OCCURRENCES = 393
CARRIER: BLUE DIRECHONi' Eastbound REGION: North Atlantic
SPEAS
5
A-7
H8
1
116
1
■1
11N
1
!i
112
ij
no
1
108
1
J
106
1
'[
104
1
102
t
■
100
t«
98
ff« 1
96
4i« 1
QiJ
1 —
ij
92
t« « 1
90
iff 1
;
88
t«t 1
86
*•« 1
84
• «i *
82
ti»4«
80
l«4««
78
I ttf«
76
«f « »t
74
72
»4f
70
*•« Bl
1
68
«« ^
66
Mff 4 ..'ff
'
64
4t«»»
62
f ft t»«
60
«»««#
58
ftf 44 »
56
44444
54
4S444
52
444444
50
1414444
48
46
44
44441444
42
44444444
40
38
36
»«l**>*«
34
44444444
32
•
30
28
11444444
26
444444444
24
22
4444444444
20
feitieeci-t
18
16
i«t«f i»»»«
14
12
10
*
8
ai««<
6
4
2
« If tl«4«f
;
+—
-30
-20
-10
0
4-10
4-20
4-30
NUHBSa OF OCCURBEHCES BY DIFFERENCE
f
Temperature Difference In Degress Centigrade ‘
Operational Segments MINUS AIDS Derived Segments
MEAN = -2.53«i»8276
VARIANCE = 7.70283393
MEAN {ABSOLUTE 0IF.)s 2.9655172'!
STANDARD DEVIATION s 2.77539798
90 S CONFIDENCE LIMITS -7.100012«3 TO 2.0310!l692
TOTAL OCCURRENCES s 696 SP6AS ;
... if
A-8
80
78
76
7^»
72
70
68
66
64
62
60
53
56
54
52
50
48
46
44
42
40
38
36
34
32
30
28
26
24
22
20
18
16
14
12
10
8
6
4
a
•K
rt
« *
^ ft w tJ # ^
« «««» w
»«#*«««*
•S « » * « w «■ ir
« * » « a ii a » « aft,}** a
sa aaaaaaaaaaaaa*
a a a a a a a a a a a a a a a a
*a aaaaaaaaaaasaa
aaaaaaaaaaaaaaaaa a
a aaaaaaaaaaaaaaaaaaa*
a a aa aaaaaaaaaaaaaaaaaaaa
r, a a a a a a a a a a a a « a a a a a a a a « a a a a a
aa a a aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaasaa a a
a a a a a aa a a a a.a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a
-90
-60
-30
+30
+60
NUMBER OF OCCURRENCES BY DIFFERENCE
VJind Direction Difference in Degrees
Operational Segments MINUS AIDS Derived Segments
MEAN =
VARIANCE =
MEAN (ABSOLUTE DIF.)=
STANDARD DEVIATION =
90? CONFIDENCE LIMITS
TOTAL OCCURRENCES =
-4.16522989
2226.48276
29.8146552
47.1856202
-81.7855752
696
TO
CARRIER: bLJE DIRECTION: Westbound
aa
a a a a a a a
-+- +
+90
73.4551154
REGION: North Atlantic
SPEAS
A-9
80
* I
78
» 1
76
* 1
74
» i
72
» I
70
* 1
68
*if 1
66
j
64
62
ff « ft 1
60
# j
58
xftft j
56
1
54
# ft ft 1 ft
52
ftftft j ft
50
ftftft { ft
48
Sftft j ft
46
ft ftftft j ftft
44
ft ft ft ft ft ft ft
42
ftftftftftftftft
40
ftftftftftftftft
38
ftftftftftftftft
36
ftftftftftftftft
34
ftftftftftftftftft
32
ft ft ft ft ft ft ft ft ft
30
ftftftftftftftftfiftft
28
^ X 4 y. y. £
26
ftftftftftftftftftftft*
24
ftft ft ftftft ft ftft ft ftft
22
ft ftftftftftftftftftftftftft
20
ft ft ft ft ft ft ft ft ft ft ft ft ft ft
18
ftftft ft ftftftftftftftftftftft*
16
?j ft ft ft ft ft ft ft ft ft ft ft ft ft ft ft
14
ftftftftft ftft ftftftftftftftftft
12
ft ft ft ft ft ft ft ft ft ft ft ft 5 ft ft ft
10
******* ft ft ftftftftftftftft
8
6
S ft ft ft ft ft ft * ft ft ft ft ft ft ft * * ft ft ft ft ft
4
ft ft ft ftft ft ft ft ft ft ft ft ft ft ft ft ft ft * ft ft ft
2
ft ft ft ft ft ft ft ft ft ft ft ft ft ft ft ft ft ft ft ft ft ft ft ft
■-+ —
1
+
1
1
1
+
1
1
i
1
+
1
1
1
1
+
t
1
1
1
+
1
1
1
1
+
-90
-60 -30 0
+30 +60
HUMBER OF OCCURREMCES BY DIFFERENCE
Vlind Speed Difference in Knots
Operational Segments MINUS AIDS Derived Segments
MEAN = - 8.96839081
VARIANCE = 211.024863
MEAN (ABSOLUTE DIF.)r 12.9827586
STANDARD DEVIATION = 14.5266948
90 s CONFIDENCE LIMITS -32.8648039 TO 14
TOTAL OCCURRENCES = 696
-+
+90
9280222
CARRIER: BLUE DIRECTION: Westbound
REGION: North Atlantic
SPBAS
i
76
74
72
70
6a
66
64
62
60
58
56
54
52
50
48
45
44
42
40
38
36
34
32
30
2b
26
24
22
20
1b
16
14
12
10
8
6
4
I
»|*
H|*
«| »
» «»|*
««««[« *
*•»*« j *»»
ft«***j»*»»
«««'!<«[
j «««#
**********
***********
***********
************
************
************
************
*************
*************
* ************* *
* ****************
******************
ft ft ftftftftftftftftftftftftftftftftftftftft
ft ftftftftftftftftftftftftftftftftftftftftftftft ft
ftft ftftftftftftftftftftftftftftftftftftftftftft^ftft ftftft
ft ftft ftftftftftftftftftftftftftftftftftftftftftftftftftftftftftftftftftftft ft
NUMBER OF OCCURRENCES BY DIFFERENCE
Cross-Component Difference in Knots
Operational Segments MINUS AIDS Derived Segments
MEAN = -2.97844828
VARIANCE = 307.702122
MEAN (ABSOLUTE DIF.)= 13.2284483
STANDARD DEVIATION r 17.5414401
90 % confidence LIMITS -31.8341173 TO 25.8772208
TOTAL OCCURRENCES = 695
CARRIER; BLUE DIRECTION; Westbound REGION; North Atlantic
SPFAS
80
78
76
74
72
70
68
66
64
62
60
58
56
54
52
50
48
4b
44
42
40
38
36
34
32
30
28
26
24
22
20
18
16
14
12
10
8
6
4
2
* I
* I
«« I
** I
j
«« I
I
* 1
* ** (
* «« I
** I
* *. I
*
* «««{}
««««««
#**»»**
»#*#**»«
»*#*»«**»
«««««««««
*«**»«««»**• •« *• ••
*■ »«{}»*«»»#**
» m***^i*^i*^*
* ***********
«« ************
***************
***************
***************
** ********************
[ I .^.i.| — 1 ■■ I III I [ I — II I . 1 - I — I
■90 -60 -30 0 +30
+60
NUMBER OF OCCURRENCES BY DIFFERENCE
Parallel-Component Difference in Knots
Operational Segments MINUS AIDS Derived Segments
MEAN =
VARIANCE =
MEAN (ABSOLUTE DIF.)=
STANDARD DEVIATION =
90% CONFIDENCE LIMITS
TOTAL OCCURRENCES =
-16.9568965
552.150441
19.4051724
23.4978816
-55.6109119
696
TO 21.6971188
CARRIER; BLUE DIRECTION; Westbound REGION: North Atlantic
A-11
. SPEAS
A-12
80
1 *
78
1 »
76
1 *
74
j ««
72
{
70
[ ««
68
1 ««
66
[ ***
64
1 «««
62
1
60
j »«««»
58
1 !»««««
5b
{ «»«««
54
1 ««««*
I
52
50
1 •»***»*
48
1
4b
1 ««««««
44
1 «»«»«««
42
1
40
1
38
1
36
1
] ««}«««««
34
32
j HH*^*t»***
30
\*»***^*H*
28
!««««««««« «
26
1
24
1
22
!#»«#***«»** *
20
j *«««««««««» «
18
!««««»«««««« *
16
j X
14
1 **xx**«#***x*
12
10
8
j »x****xa**»x*»*»
6
1 xxxxxxxxxxxxxxxxxxx* *
4
XXXXXXicXXXXAXXXXXXXXXXX* *** X
2
«»x»»*»»***»xx**«**x**»xxx»x**»
.».t— — I — - 1-.— ..I .. 1 . ..I.. ~~ 1 — ~~.l — 1 — — +
-90
-60
-30
+30
+60
+90
NUMBER OF OCCURRENCES BY DIFFERENCE
Magnitude of Vector Difference in Knots
• Operational Segments MINUS AIDS Derived Segriients
MEAN =
VARIANCE =
MEAN (ABSOLUTE DIF.)=
STANDARD DEVIATION =
90 % CONFIDENCE LIMITS
TOTAL OCCURRENCES =
24.908046
509.086373
24.908046
22.5629425
-12.2079944
69b
TO 62.0240863
CARRIER; BLUE DIRECTION: Westbound REGION: North Atlantic
t
• I
. i
I
!
4
It
80
78
76
74
72
70
68
66
6M
62
60
58
56
54
52
50
48
46
44
42
40
38
36
34
32
30
28
26
24
22
20
18
16
14
12
10
8
6
4
2
-30 -20 -10
I A- 13
I
I
I
I
I
I
I
I
I
I
I
1
I
I
1
I
1
I
1
* Sft#
0 +10 +20 +30
NUMBER OF OCCURRENCES BY DIFFERENCE
Temperature Difference in Degress Centigrade
Operational Segments MINUS AIDS Derived Segments
MEAN =
VARIANCE =
MEAN (ABSOLUTE DIF,)=
STANDARD DEVIATION =
90? CONFIDENCE LIMITS
TOTAL OCCURRENCES =
-1
3.5
1 .5
1.87082869
-4.0775132
4
TO
2.0775132
CARRIER: BLUE
DIRECTION:
Eastbound
REGION: Polar
HUMBER OF OCCURREHCES BY DIFFERENCE
VJind Direction Difference in Degrees
Operational Segments MINUS AIDS Derived Segments
MEAN = 69
VARIANCE = 12245.5
MEAN (ABSOLUTE DIF.)= 109
STANDARD DEVIATION = 110.659387
90S CONFIDENCE LIMITS -113.034692 TO 251.034692
TOTAL OCCURREHCES = 4
CARRIER: BLUE DIRECTION: Eastbound REGION: Polar
SPEAS
80
78
76
74
72
70
68
66
64
62
60
58
56
54
52
50
48
46
44
42
40
38
36
34
32
30
28
26
24
22
20
18
16
14
12
10
V/ind Speed Difference in Knots
Operational Segments MINUS AIDS Derived Segments
MEAN = -18
VARIANCE = 256.5
MEAN (ABSOLUTE DIF.)= 19-5
STANDARD DEVIATION = 16.0156174
90% CONFIDENCE LIMITS -44.3456906 TO 8.34569062
TOTAL OCCURRENCES = 4
CARRIER: BLUE DIRECTION; Eastbound REGION: Polar
'C SPEAS
A-16
80
78
76
74
72
70
68
66
64
62
60
58
56
54
52
50
48
46
44
42
40
38
36
34
32
30
28
26
24
22
20
18
16
14
12
10
8
6
4
2
H +— — +
-go -60
I
I
I
I
I
I
1
I
1
+30 +60 +90
NUMBER OF OCCURRENCES BY DIFFERENCE
Cross-Component Difference in Knots
Operational Segments MINUS AIDS Derived Segments
MEAN s -5
VARIANCE = 164
MEAN (ABSOLUTE DIF.)= 8.5
STANDARD DEVIATION = 12.8062485
go? CONFIDENCE LIMITS -26,0662788 TO 16.0662788
TOTAL OCCURRENCES = 4
CARRIER: BLUE DIKECHON: Eastbound REGION: Polar
SPEAS
80
78
76
74
72
70
68
66
64
62
60
58
56
54
52
50
48
4b
44
42
40
3«
36
34
32
30
28
26
24
22
20
18
16
14
12
10
8
6
4
2
1
» « « «
« — — ...t 1 — —
■go -60 -30 0
+30 +6o
NUMBER OF OCCURRENCE BY DIFFERENCE
Parallel-Component Difference in Knots
Operational Segments MINUS AIDS Derived Segments
MEAN =
VARIANCE =
MEAN (ABSOLUTE DIF. )=
STANDARD DEVIATION =
90^ confidence limits
TOTAL OCCURRENCE =
-34.25
138.6875
34.25
11.7765657
-53.6224506
4
TO -
CARRIER; BLUE DIRECTION; Eastbound REION; Polar
A-17
+— — +
+90
.8775494
. SPBAS
A-18
80 i
78 I
76 1
74 i
72 I
70 I
68 I
66 I
64 I
62 I
60 I
58 I
56 I
54 I
52 I
50 I
48 I
46 I
44 I
42 I
40 I
38 I
36 I
34 I
32 I
30 i
28 I
26 I
24 I
22 I
20 I
18 I
16 I
14 I
12 I
10 1
8 I
6 i
4 I
2 I
H 4— I . — I I -4“
-90 -60 -30 0
» » « «
^ +3o" ^ ^
-4-
+90
NUMBER OF OCCURRENCES BY DIFFERENCE
Magnicude of Veczor Difference in Knots
Operational Segments MINUS AIDS Derived Segments
MEAN =
VARIANCE 5
MEAN (ABSOLUTE DIF.)=
STANDARD DEVIATION =
90? CONFIDENCE LIMITS
TOTAL OCCURRENCES =
35.5
213.25
35.5
14i60308l9
11.4779303
4
TO 59.5220697
CARRIER; BLUE DIRECTION; Eastbound REGION; Polar
80
78
76
74
72
70
68
66
64
62
60
58
56
54
52
50
48
46
44
42
40
38
36
34
32
30
28
26
24
22
20
18
16
14
12
10
8
6
4
2
-30
-20
■10
0
■hIO
■h20
HUMBER OF OCCURRENCES BY DIFFERENCE
Temperature Difference in Degress Centigrade
Operational Segments MINUS AIDS Derived Segments
MEAN = -1 .69230769
VARIANCE f. 3.13609468
MEAN (ABSOLUTE DIF.)= 2.15384615
STANDARD DEVIATION = 1.77090222
902 CONFIDENCE LIMITS -4.60544185
TOTAL OCCURRENCES = 13
TO
A- 19
M M «M
+30
.22082646
CARRIER; BLUE
DIRECTION: V/estbound
REGION: Polar
A-20
30
78
76
74
72
70
68
66
64
62
60
58
56
54
52
50
48
46
44
42
40
38
36
34
32
30
28
26
24
22
20
18
16
14
12
10
8
6
4
2
a * * ««»}»
-60 -30 0 +30
ft
+60
NUMBER OF OCCURRENCES BY DIFFERENCE
V/ind Direction Difference in Degrees
Operational Segments MINUS AIDS Derived Segments
MEAN = -17.9230769
VARIANCE = 2589.76332
MEAN (ABSOLUTE DIF.)= 43.3076923
STANDARD DEVIATION = 50.8897172
90S CONFIDENCE LIMITS -101.636662 TO 65
TOTAL OCCURRENCES = 13
— “ — +
+90
7905079
CARRIER: BLUE DIRECTION: Westbound
REGION: Polar
SP£AS
A-Pl
80
78
76
72
70
68
66
6i{
62
60
58
56
5^1
52
50
48
46
44
42
40
38
36
34
32
30
28
26
24
22
20
18
16
14
12
10
6
6
4
2
-90
k >{« M «
•60
■ -)-
-30
* **
0
• M V
+30
+60
NUMBER OF OCCURRENCES BY DIFFERENCE
V/ind Speed Difference in Knots
Operational Segments MINUS AIDS Derived Segments
MEAN = -11.3846154
VARIANCE = 337.159764
MEAN (ABSOLUTE DIF.):: 16.3076923
STANDARD DEVIATION = 18.3619107
90% CONFIDENCE LIMITS -41.5899585 TO
TOTAL OCCURRENCES = 13
+ +
+90
18.8207277
CARRIER: SLUE DIRECTION: Westbound
REGION: Polar
pro SP£AS
n
76
74
72
70
68
66
64
62
60
58
56
54
52
50
48
4b
44
42
40
38
36
34
32
30
28
26
24
22
20
18
16
14
12
10
8
6
4
-90
1
» «« «« »|« ««
■60 -30 0^ +30
numbilR of occurrences by difference
Cross-Component Difference in Knots
Operational Segments MINUS AIDS Derived Segments
MEAN =
VARIANCE =
MEAN (ABSOLUTE DIF,)=
STANDARD DEVIATION =
90% CONFIDENCE LIMITS
TOTAL OCCURRENCES =
-8.69230769
250.366864
15.4615385
15.8229853
-34.721 11 86
13
TO 11
CARRIER: BLUE DIRECTION: Westbound REGION: Polar
A-22
+90
.3365032
pf'C SPEAS
A-23
80
78
76
74
72
70
6b
66
64
6?.
60
58
56
54
52
50
48
46
44
42
40
3b
36
34
32
30
2b
26
24
22
20
1b
16
14
12
10
8
6
4
2
i
+
-60
«
■+
-30
*
I*
■H +
0
+30 +^ *' ii^go
NUMBER OF OCCURRENCES BY DIFFERENCE
Parallel-Component Difference in Knots
Operational Segments MINUS AIDS Derived Segments
MEAN =
VARIANCE =
MEAN (ABSOLUTE DIF.)=
STANDARD DEVIATION =
90% CONFIDENCE LIMITS
TOTAL OCCURRENCES =
-19.769230°
275.869823
20.0769231
16 . 6093:^94
-47.0915777
13
TO 7.5531161
CARRIER: BLUE DIRECTION: Westbound REGION: Polar
Pf^C SPEAS
80
78
76
74
72
70
68
66
64
62
60
53
56
54
52
50
48
4b
44
42
40
38
36
34
32
30
28
26
24
22
20
18
16
14
12
10
8
6
4
2
-90 -60
-30
|« ** »
^0 +90
A-24
NUMBER OF OCCURRENCES BY DIFFERENCE
Magnitude of Vector Difference in Knots
Operational Segments MINUS AIDS Derived Segments
MEAN =
VARIANCE =
MEAN (ABSOLUTE DIF.)=
STANDARD DEVIATION =
90% confidence LIMITS
TOTAL OCCURRENCES =
26.5384615
257.171598
26.5384615
16.0365706
.158302828
13
TO 52.9186203
CARRIER; BLUE DIRECTION: Westbound REGION: Polar
SPEAS
80
78
76
74
72
70
68
66
64
62
60
58
56
54
52
50
48
46
44
42
40
38
36
34
32
30
28
26
24
22
20
18
16
14
12
10
8
6
4
+-■
-30
ft*
-20
-10
ftft
+20
+ 10
HUMBER OF OCCURRENCES BY DIFFERENCE
Temperature Difference in Degress Centigrade
Operational Segments MINUS AIDS Derived Segments
MEAN = .444444444
VARIANCE = 10.0246914
MEAN (ABSOLUTE DIF.)= 2.66666667
STANDARD DEVIATION = 3-1661793
905 CONFIDENCE LIMITS -4.76392051
TOTAL OCCURRENCES = 9
TO
A-25
-+ +
+30
.6528094
pro SPEAS
CARRIE:<; blue DIRECTION: Eastbound
REGION; Middle Atlantic
80 1 A-26
78 I
76 I
74 I
72 I
70 |,
68 1
66 I
64 I
62 I
60 i
58 I
56 I
54 !
52 i
50 I
48 i
46 I
44 *i
42 I
40 i
38 i
36 I
34 I
32 !
30 I
28 I
26 I
24
22 [
20 !
18 I
16 I
14 !
12 I
10 I
6 I
6 I
2
-90
-60 -30
0
+30 +60
+90
NUMBER OF
OCCURRENCES
BY DIFFERENCE
Wind
Direction
Difference
in
Degrees
I
i
1
Operational Segments MINUS AIDS Derived Segments
13
6440.00001
57.8888889
80.2496106
-145.01061 TO 119.01061
CARRIER: BLUE DIRECTION: Eastbound REGION; Middle Atlantic
trOSPEAS
MEAN =
VARIANCE =
MEAN (ABSOLUTE DIF. )=
STANDARD DEVIATION =
90 % CONFIDENCE LIMITS
TOTAL OCCURRENCES =
A-27
80
78
76
74
72
70
68
66
64
62
60
58
56
54
52
50
48
46
44
42
40
38
36
34
32
30
28
26
24
22
20
18
16
14
12
10
8
6
4
2
4f» S-S*
+-•
-90
■60
-30
0
■ 1.30
- 1-60
NUMBER OF OCCURRENCES BY DIFFERENCE
VJind Speed Difference in Knots
Operational Segments MINUS AIDS Derived Segments
MEAN =
VARIANCE =
MEAN (ABSOLUTE DIF.)r
STANDARD DEVIATION =
90? CONFIDENCE LIMITS
TOTAL OCCURRENCES =
-14.4444444
21.1358025
14.4444444
4.59736909
- 22.0071166
9
TO -(
+— — — — •!•
- 1-90
.8817723
CARRIER: BLUE DIRECTION; Eastbound
REGION: Middle Atlantic
ir 0 SPEAS
A-28
76
74
72
70
68
66
6i|
62
60
58
56
54
52
50
48
4b
44
42
40
38
36
34
32
30
28
26
24
22
20
18
16
14
12
10
8
6
4
2
H H— »-4—
-90 -60
*
—•
0
*
+■
*— H"
+30
460 ^ +90
NUMBER OF OCCURRENCES BY DIFFERENCE
Cross-Component Difference in ECnots
Operational Segments MINUS AIDS Derived Segments
MEAN =
VARIANCE =
MEAN (ABSOLUTE DIF.)=
STANDARD DEVIATION =
90? CONFIDENCE LIMITS
TOTAL OCCURRENCES =
193.6875
10.25
13.9171657
-25.6437375 TO
4
20.1437375
CARRIER: BLUE DIRECTION: Eastbound REGION: Middle Atlantic
SPEAS
80
78
76
74
72
70
68
66
64
62
60
58
5b
54
52
50
48
4b
44
42
40
38
36
34
32
30
28
26
24
22
20
18
16
14
12
10
8
6
4
2
A-29
-90
« * {
-H ^ H H H —
■60 -30 0 +30 +60
NUMBES OF OCCUHPENCES BY DIFFERENCE
Parallel-Component Difference in I&ots
' Operational Segments MINUS AIDS Derived Segments
17.75
42.6875
17.75
6.53356718
-28.497718 TO -7.00228199
4
CARRIER: BLUE DIRECTION; Eastbound REGION: Middle Atlantic
MEAN =
VARIANCE =
MEAN (ABSOLUTE DIF.)=
STANDARD DEVIATION =
90% CONFIDENCE LIMITS
TOTAL OCCURRENCES =
! -
t '
f'CsPEAr,
80
1
I
A- 30 I
78
1
76
74
1
72
1
1
70
1
i''
68
1
66
1
64
I
62
1
60
1
58
1
55
1
54
1
52
1
J
50
1
1
48
1
i
4b
1
44
1
•j
42
1
40
1
38
1
36
1
34
1
32
1
:
30
!
28
1
26
I
24
1
22
1
20
18
1
16
1
14
1
12
I
10
1
8
1
6
1
4
1
2
1 «
-90
-60 -30
0 +30 +60 +90
•
NUMBER OF OCCURRENCES BY DIFFERENCE
•
Magnitude of Vector Difference
in Knots
Operational Segments MINUS AIDS Derived Segments
i
1
MEAN =
22
VARIANCE =
61
MEAN (ABSOLUTE DIF.)=
22
*
STANDARD DEVIATION =
7.81024968
i
90% CONFIDENCE LIMITS
9.15213928 TO 34.8478607
j
•
TOTAL OCCURRENCES =
4
CARRIER:
BLUE DIRECTION: Eastbound REGION; Middle Atlantic
1
'SrOSPEAS
I
A-31
80
78
76
7A
72
70
68
66
6A
62
60
58
56
54
52
50
48
46
44
42
40
38
36
34
32
30
28
26
24
22
20
18
16
14
12
10
8
6
4
2
-30 -20 -10
I
I
I
I
I
X
*
* **
*«**«*«*
— — — + — — — — — — — + —
0 +10 +20
MUMBER OF OCCURRENCES BY DIFFERENCE
Temperature Difference in Degress Centigrade
Operational Segments MINUS AIDS Derived Segments
MEAN =
VARIANCE =
MEAN (ABSOLUTE DIF.)=
STANDARD DEVIATION =
90S CONFIDENCE LIMITS
TOTAL OCCURRENCES =
- 1 .03125
3.03027344
1.46875 .
1 .74076806
-3.89481346
32
TO
+ +
+30
.83231346
CARRIER: BLUE
DIRECTION: VJestbound
REGION: Middle Atlantic
SPBAS
80
I
A-3
78
I
76
I
74
I
72
I
70
68
1
1
66
!
64
1
1
62
1
60
1
58
1
56
i
54
1
52
1
50
1
48
1
46
!
44
1
42
t
40
1
38
1
1
36
1
34
1
32
1
1
30
1
28
1
1
26
f
1
24
1
1
22
1
20
1
18
» j
16
1
1
14
1
1
12
1
10
<
1
8
1
1
6
1
4
1 ^
2 »
5 5 S# ftwjifSTcwSlt ft,
X
it
*4«
-90
-60 -30 0 +30
+60 '
+90
HUMBER OF OCCURREMCES BY DIFFERENCE
V/ind Direction Difference in Degrees
Operational Segments MINUS AIDS Derived Segments
MEAN r
VARIANCE =
MEAN (ABSOLUTE DIF.)=
STANDARD DEVIATION =
90? CONFIDENCE LIMITS
TOTAL OCCURREMCES =
.9375
5783.5586
56.75
76.049711 4
-124.164275
32
TO
126.039275
irC SP£AS
CARRIER; BLUE DIRECTION; Westbound
REGION; Middle Atlantic
A-33
80
78
76
74
72
70
68
66
64
62
60
58
56
54
52
50
48
46
44
42
40
38
36
34
32
30
28
26
24
22
20
18
16
14
12
10
8
6
4
2
-90 -60
*
•
0
TT
+
— •f'**— — —
+30
+60 +90
HUMBER OF OCCURRENCES BY DIFFERENCE
Wind Speed Difference in Knots
Operational Segments MINUS AIDS Derived Segments
MEAN = -5
VARIANCE = 129.625
MEAN (ABSOLUTE DIF.)= 9.4375
STANDARD DEVIATION = 11.3852976
903 CONFIDENCE LIMITS -23.7288145 TO 13.7288145
TOTAL OCCURRENCES z 32
CARRIER: BLUE DIRECTION: Westbound REGION: Middle Atlantic
80 A-34
78
1
76
I
74
I
72
1
70
1
68
1
66
1
64
1
62
1
60
1
58
1
56
1
54
1
52
1
50
1
48
1
48
1
44
1
42
1
40
1
3b
1
36
1
34
1
32
1
30
1
2b
1
26
1
24
1
22
1
20
1
1b
1
16
I
14
1
12
1
10
1
8
I
6
1
4
* 1 «
2
+-
— j
-90 -60 -30 0 +30 +60 +90
NUMBER OF OCCURRENCES BY DIFFERENCE
Cross-Component Difference in Knots
Operational Segments MINUS AIDS Derived Segments
MEAN =
VARIANCE =
MEAN (ABSOLlTi'E DIF,)=
STANDARD DEVIATION =
905S confidence LIMITS
TOTAL OCCURRENCES =
0
173.909091
11.8181818
13.1874596
-21.6933711
22
TO 21.6933711
CARRIER: BLUE DIRECTION: Westbound REGION; Middle Atlantic
ir '^SPEAS
A- 35
80
78
76
74
72
70
68
66
64
62
60
58
5b
54
52
50
48
4fa
44
42
40
38
36
34
32
30
28
26
24
22
20
18
16
14
12
10
8
6
4
2 «
H , I , —.4— — H — H •< — H 4 — +
-go -60 -30 0 +30 4^0 +90
NUMBER OF OCCURRENCES BY DIFFERENCE
Parallel-Component Difference in Knots
Operational Segments MINUS AIDS Derived Segments
MEAN =
VARIANCE =
MEAN (ABSOLUTE DIF.)=
STANDARD DEVIATION =
90% CONFIDENCE LIMITS
TOTAL OCCURRENCES =
-10.4545455
137 .520661
12.9090909
11.7269204
- 29,7453295 TO
22
8.83623856
zrc SPEAS
CARRIER: BLUE DIRECnON: Westbound
REGION: Middle Atlantic
A-36
80
78
76
74
72
70
68
66
t54
62
60
58
5b
54
52
50
48
4b
44
42
40
3«
36
34
32
3C
2d
26
24
22
20
1b
16
14
12
10
8
6
4
2
I
I
+
-60
+60 +90
NUMBER OF OCCURRENCES BY DIFFERENCE
Magnitude of Vector Difference in I^nots
Operational Segments MINUS AIDS Derived Segments
MEAN =
VARIANCE =
MEAN (ABSOLUTE DIF.)=
STANDARD DEVIATION =
90? CONFIDENCE LIMITS
TOTAL OCCURRENCES =
18.4545455
71.5206612
18.4545455
8.4569889
4.54279871
22
TO 32.3662922
CARRIER: BLUE DIRECTION: Westbound REGION: Middle Atlantic
. ' r..
Operational Segments MINUS AIDS Derived Segments
RMS or Vector Error = 33«6669U38
TOTAL OCCURRENCES = 393
CARRIER: BLUE DIRECTION: Eastbound REGION: North Atlantic
%
Operational Segments MINUS AIDS Derived Segments
* RMS of Vector Error = 33*607992
TOTAL OCCURRENCES = 69b
CARRIER: BLUE DIRECTION: Westbound REGION; North Atlantic
f
Operational Segments MINUS AIDS Derived Segments i
RMS or Vector Error = 38*3861955 i
TOTAL. OCCURRENCES = 4 I
CARRIER: BLUE DIRECTION: Eastbound REGION: Polar
Operational Segnents MINUS AIDS Derived Segments
RMS of Vector Error = 31 .0074433 ^
TOTAL OCCURRENCES =13
CARRIER: BLUE DIRECTION: Westbound REGION; Polar
Operational Segm'7'its MINUS AIDS Derived Segments
'f
RMS or Vector Error = 23*3452351
TOTAL OCCURRENCES = 4
CARRIER; BLUE DIRECTION; Eastbound REGION; Middle Atlantic
Operational Segments MINUS AIDS Derived Segments
RMS or Vector Error = 20*3000224
TOTAL OCCURRENCES = 22
CARRIER: BLUE DIRECTION; Westbound REGION: Middle Atlantic i
i
j
i.
'T^spbas I
9
A- 38
& S ^ £
w S S w vf # *
««*w«K5««
K S * S -S * S # if *
5- ir -S’ if "S 5 w ■}? IT ii if w S
S* if *» * 5 3 # « if »• if » » -6 « S
NUMBER OF OCCURRENCES BY DIFFERENCE
Temperature Difference in Degress Centigrade
Operational Segments MINUS AIDS Derived Segments
MEAN = 1.96341465
VARIANCE = 12.5718323
MEAN (ABSOLUTE DIF.)= 3-07317073
STANDARD DEVIATION = 3.54567797
90S CONFIDENCE LIMITS -3.86922563 "0 7.79605489
TOTAL OCCURRENCES = 164
CARRIER: RED
DIRECTION: Eastbound
REGION: North Atlantic
w • Sf'EA3
A-39
80
78
76
74
72
70
68
66
64
62
60
58
56
54
52
50
48
46
44
42
40
38
36
34
32
30
28
26
24
22
20
18
16
14
12
10
8
6
4
2
-90
I
I
I
I
I
I
1
Kx »
S * S
» « “ -f « Jf " S X- » if * »
S«* »»* a
-60 -30 0 +30 +60
NUMBER OF OCCURRENCES BY DIFFERENCE
Wind Direction Difference in Degrees
Operational Segments MINUS AIDS Derived Segments
MEAN =
VARIANCE =
MEAN (ABSOLUTE DIF.)=
STANDARD DEVIATION =
905 CONFIDENCE LIMITS
TOTAL OCCURRENCES =
1 .93939394
321 .911479
13.4545455
17.9418917
-27.575018
165
TO
3
+90
.4538058
CARRIER: RED
DIRECTION: Eastbound
REGION: North Atlantic
A-40
80
78
76
74
72
70
68
66
64
62
60
58
56
54
52
50
48
46
44
42
40
38
36
34
32
30
28
26
24
22
20
18
16
14
12
10
8
6
4
2
I
I
I
5 jr *
« * ft
ft
ft ft «
ftftft ft Sftft* ft
ftftftftft ftftftftft* ft
ftftftftftSftftftftftftftftft
ftftftftftftSftftftftftftftftft ft
ft ft ft ft ft ft ft ftf ft ft ft ft ft ft ft ft ft ft ft ft
ft
+ 1 --, + + + __+ + 1 -
-90 -60 -30 0 +30 +60
-+
+90
NUMBER OF OCCURRENCES BY DIFFERENCE
VJind Speed Difference in Knots
Operational Segments MINUS AIDS Derived L^egments
MEAN =
VARIANCE =
MEAN (ABSOLUTE DIF.)=
STANDARD DEVIATION =
90% CONFIDENCE LIMITS
TOTAL OCCURRENCES =
-6.3939394
339.172085
15.3393939
18.4166252
-36.6892879
165
TO
23.9014091
CARRIER: RED
DIRECTION: Eastbourid
REGION: North Atlantic
SPEAS
80
7a
76
74
12
70
6a
66
64
62
60
58
5b
54
52
50
48
4b
44
42
40
38
36
34
32
30
28
26
24
22
20
1b
16
14
12
10
8
6
4
2 »
-90 -60
I
I
1
I
I
1
j
#*«[ »
#* #
««««««««« « ** *
H 4 «-H 4
-30 0 +30 +60
NUMBER OF OCCURRENCES BY DIFFERENCE
-+
+90
A-41
Cross-Component Difference in Biiots
Operational Segments MINUS AIDS Derived Segments
MEAN =
VARIANCE =
MEAN (ABSOLUTE DIF.)=
STANDARD DEVIATION =
90% CONFIDENCE LIMITS
TOTAL OCCURRENCES =
3.35757576
380.944868
14.8121212
19.517809
-28.74922
165
TO
35.4643716
CARRIER; RED DIRECTION: Eastbound REGION; North Atlantic
0 SPEAS
A-42
80
78
76
74
72
70
68
66
64
62
60
58
5b
54
52
50
48
4fa
44
42
40
38
36
34
32
30
28
26
24
22
20
18
16
14
12
10
8
6
4
2
-90
** *
'+■
'+•
'■H
■+•
-60
-30
+30
+60
NUMBER OF OXURRENCES BY DIFFERENCE
~+
+90
Parallel-Component Difference in Knots
Operational Segments MINUS AIDS Derived Segments
MEAN =
VARIANCE =
MEAN (ABSOLUTE DIF.)=
STANDARD DEVIATION =
90% CONFIDENCE LIMITS
TOTAL OCCURRENCES =
- 9.20606061
347.339358
16.1272727
18.6370426
-39.8639957
165
TO 21.4518745
, i SPEAS
CARRIER: RED DIRECTION: Eastbound
REGION: North Atlantic
I **** ff *
I
I a
{««««»«»«»««*« *
I ««»«*«««««««««« ««
»««»««««««««««««««««
NUMBER OF OCCURRENCES BY DIFFERENCE
Magnitude of Vector Difference
in Knots
Operational Segments MINUS AIDS Derived Segments
MEAN = 23.9515152
VARIANCE = 240.288559
MEAN (ABSOLUTE DIF.)= 23.9515152
STANDARD DEVIATION = 15*5012438
90% CONFIDENCE LIMITS -1.54803086 TO 49.4510612
TOTAL OCCURRENCES - 165
CARRIER: RED DIRECTION:- Eastbound REGION: North Atlantic
ore spsAs
A-44
80
78
76
74
72
70
68
66
64
62
60
58
56
54
52
50
48
46
44
42
40
38
36
34
32
30
28
26
24
22
20
18
16
14
12
10
8
6
4
2
■it
*
a
»
j
j
j w w *
S if vi if if
ftS ififft
if S if if if
3 ilif if if
3 if » if it
«»«ff3““
3 3 # if if 3 w 3 3
3 X S 3 w if if if 3 if 3
3 » 33 » 33333 *
if 3 3 3 3 if if 3 3 3 3
3 3 3 3 3 3 3 3 3 it 3
333333333333
3333333333333333
f3333S33333333S3333 333
-30
.20
•lo
■+■
0
+ 10
+20
NUMBER OF OCCURRENCES BY DIFFERENCE
Temperature Difference in Degress Centigrade
Operational Segments MINUS AIDS Derived Segments
MEAN =
VARIANCE =
MEAN (ABSOLUTE DIF.)=
STANDARD DEVIATION =
90% CONFIDENCE LIMITS
TOTAL OCCURRENCES =
1 .6941896
13.0746757
3.04587156
3.6158921 1
-4.25395292
327
TO
CARRIER: RED
+— ” “ “ +
+30
.64233213
DIRECTION: Westbound
REGION: North Atlantic
. SPEAS
A-45
80
78
76
74
72
70
68
66
64
62
60
58
56
54
52
50
48
■46
44
42
40
38
36
34
32
30
28
26
24
22
20
18
16
14
12
10
8
6
4
2
I*
*
ft ftftftftftftft
ft ft ft ft ft ft ft ft ft ft
ftftftft ftftftftftftftft
ftftftftft ftftftftftftSSft
Sftftftftftftftft ftftftftftftftft
ftftftftftftftftftftftftftftftftft
■ 90
ftft ftftft
-+-
-60
ft
ft
ft jS {; 1; * # ft * * # * # * * '.f # # ft ft X
ftftft ftftftftftftftft ftftftftft ft ftftftftft* ftft
ftftftftftftftftftftftftftftftftftftftftftftftftSftftftftftftftft
-30 0 +30
NUMBER OF OCCURRENCES BY DIFFERENCE
ft* ft
+60
V/ind Direction Difference in Degrees
Operational Segments MINUS AIDS Derived Segments
MEAN = -2.03669725
VARIANCE = 1142.64086
MEAN (ABSOLUTE DIF.)= 21.706422
STANDARD DEVIATION = 33.8029711
90? CONFIDENCE LIMITS -57.6425848
TOTAL OCCURRENCES = 32?
TO
ft ft ftftft
--+ -+
+90
53.5691903
CARRIER: RED
DIRECTION: VJestbound
REGION: North Atlantic
*** '■
- SPEAS
80
I
78
I
76
I
74
I
72
I
70
I
68
I
66
I
64
I
62
I
60
I
58
I
56
I
54
I
52
I
50
I
48
I
46
1
1
44
\
\
42
1
40
1
1
38
1
36
« 1
34
* 1
32
« 1 *
30
^ 1 *
28
Si} S S
26
24
if S if # T? ttw
22
*««««&«
20
18
16
14
12
10
3
ft* SftSftftftftftftftftft*
6
ft* ft ft S*ft ft ft ft ft ft ft * ft ft ft ft
4
ft ft ft ft ft ft ft ft ft ft ft ft ft ft ft ft ft ft ft a ft
• 2
X
ftftft ******** ftftftftftftftftft ft*
+ —
1
+
i
1
1
1
+
1
1
1
1
+
1
I
1
1
+
1
1
1
1
+
1
1
1
1
+
1
-90
-60
-30 0 +30
NUMBER OF OCCURRENCES BY DIFFERENCE
V^ind Speed Difference in ICnots
Operations! Segments MINUS AIDS Derived Segments
MEAN z
VARIANCE z
MEAN (ABSOLUTE DIF.)z
STANDARD DEVIATION z
90? CONFIDENCE LIMITS
TOTAL OCCURRENCES z
-4.24464832
206 .723022
1 1 .4984709
14.3778657
-27.8962374
327
TO 1
A-46
+90
9.4069408
CARRIER: RED DIRECTION: Westbound
REGION: North Atlantic
A-47
76
74
72
70
68
66
64
62
60
58
56
54
52
50
48
4b
44
42
40
3b
36
34
32
30
28
26
24
22
20
18
16
14
12
10
8
6
4
2
-90
*
«i««
« «« I ««
« ******
« ««««««
**********
**************
****************
»«
-60
'+■
'+■
-30
+30
+60
— +
+90
NUMBER OF OCCURRENCES BY DIFFERENCE
Cross-Component Difference in Knots
Operational Segments MINUS AIDS Derived Segments
MEAN = -3.11009174
VARIANCE = 210.948125
MEAN (ABSOLUTE DIF.)= 11.3363914
STANDARD DEVIATION = 14.5240533
905S CONFIDENCE LIMITS -27.0021595
TOTAL OCCURRENCES = 327
TO 20.781976
CARRIER: FED DIRECTION: Westbound REGION: North Atlantic
i,' Z SPEAS
80
1
78
1
76
1
74
!
72
1
70
I
68
1
66
1
64
1
62
1
60
1
58
1
56
!
54
1
52
I
50
1
48
1
46
1
44
1
42
I
40
1
38
» 1
36
« [
34
« 1
32
* I
30
[
28
«««[
26
1
24
22
20
18
16
**********n «
14
12
10
8
6
4
+~— — H I— — I — — H — .»H — H H — +
-90 -60 -30 0 +30 460 +90
NUMBER OF OCCURRENCES BY DIFFERENCE
Parallel-Component Difference in Knots
Operational Segments ttENUS AIDS Derived Segments
MEAN =
VARIANCE =
MEAN (ABSOLUTE DIF.)=
STANDARD DEVIATION =
90? CONFIDENCE LIMITS
TOTAI. OCCURRENCES =
-7.550458T2
217.091491
12.8470948
14.7340249
-31 .7879298
327
TO
16.6870123
CARRIER; RED DIRECTION; Westbound REGION; North Atlantic
_ i O SPEAS
A-49
80
78
76
74
72
70
68
66
64
62
60
58
56
54
52
50
48
46
44
42
40
38
36
34
32
30
28
26
24
22
20
ia
16
14
12
10
8
6
4
2
-90 -60 -30
I « «
I «
I »« »
I nn****
I
j
I
I »«««»««
I «««««««
I
I ««««««««
I **im»****
I **********
I
I
I *
!«««««««««««««
I »«« *
* *
4^***— **^***»f**********' | » — lil|l>l| ■■IIIIMWl j
0 +30 +60
NUMBER OF OCCURRENCES BY DIFFERENCE
-+
+90
Magnitude of Vector Difference in ECnots
Operational Segments MINUS AIDS Derived Segments
MEAN s
VARIANCE =
MEAN (ABSOLUTE DIF.)=
STANDARD DEVIATION =
90% CONFIDENCE LIMITS
TOTAL OCCURRENCES s
18.6636086
131.788982
18.6636086
11.4799382
-.220889824
327
TO
37.548107
CARRIER: RED DIRECTION: Westbound REGION: North Atlantic
«.[ O spws
I
80
78
76
74
72
70
68
66
64
62
60
58
56
54
52
50
48
46
44
42
40
38
36
34
32
30
28
26
24
22
20
18
16
14
12
10
8
6
4
2
A-BO
■jt
* K •» iJ »
+ -•
-30
-20
•+— -
.10
* *
-+.
+10
■ _+_.
+20
■ - +
+30
NUMBER OF OCCURRENCE-S BY DIFFERENCE
Temperature Difference in Degress Centigrade
Operational Segments MINUS AIDS Derived Segments
MEAN =
VARIANCE =
MEAN (ABSOLUTE DIF.)=
STANDARD DEVIATION =
90? CONFIDENCE LIMITS
TOTAL OCCURRENCES z
-.694444444
10.2677469
2.75
3.20433252
-5.96557145
36
TO
i
5
I
4.57668256
I
i
tl
CARRIER: REO DIRECTION: Eastbound REGION: Polar
0 SPSAS
A-51
SO
78
76
7^<
72
70
68
66
64
62
60
58
56
54
52
50
48
46
44
42
40
38
36
3 ^
32
30
28
26
24
22
20
18
16
14
12
10
8
6
4
2
ft * ft
ft ft* ftftftftftftftftftft ftft
ftft ft
-90
•60
.«+—
-30
H-
0
+30
+60
NUMBER OF OCCURRENCES P;. DIFFERENCE
V/ind Direction Difference in Degrees
Operational Segments MINUS AIDS Derived Segments
MEAN =
VARIANCE =
MEAN (ABSOLUTE DIF.)z
STANDARD DEVIATION s
90? CONFIDENCE LIMITS
TOTAL OCCURRENCES =
-3.80555556
1738.26775
22.25
41.6925383
-72.3897311
36
TO 6
+ +
+90
4.7786699
CARRIER; RED
DIRECTION; Eastbound
REGION; Polar
SPEAS
80
78
76
74
72
70
68
66
64
62
60
58
56
54
52
50
48
46
44
42
40
38
36
34
32
30
28
26
24
22
20
18
16
14
12
10
8
6
4
2
-90 -60 -30 0 +30 +60
HUMBER OF OCCURRENCES DIFFERENCE
Wind Speed Difference in Knots
«
s
4? # ^ w ^5 w 7? w 1
Operational Segments MINUS AIDS Derived Segments
MEAN =
VARIANCE =
MEAN (ABSOLUTE DIF.)=
STANDARD DEVIATION =
905 CONFIDENCE LIMITS
TOTAL OCCURRENCES =
-5.72222223
308.811729
12.3888889
17.5730398
-34.6298728
36
TO
23
A-52
*r
+90
1854283
CARRIER: RED
DIRECTION: Eastbound
REGION; Polar
S^EAS
80
78
76
7n
72
70
68
66
64
62
60
58
56
54
52
50
48
4b
44
42
40
38
36
34
32
30
28
26
24
22
20
18
16
14
12
10
8
6
4
»
«
* *
««« «««««{*«» »
-90 -60 -30 0 +30 +60
NUiBER OF XCURRENCES BY DIFFERENCE
Cross-Component Difference in Knots
Operational Segments MINUS AIDS Derived Segments
MEAN = ,638888889
VARIANCE = 92,73071
MEAN (ABSOLUTE DIF,)= 7.58333334
STANDARD DEVIATION = 9.62967861
90S CONFIDENCE LIMITS -15.2019324 TO 1
TOTAL OCCURRENCES = 36
CARRIER: RED DIRECTION; Eastbound REGION; Polar
A- 53
+90
.4797102
SPSAS
A-54
80
76
74
72
70
68
66
64
62
60
58
56
54
52
50
48
4b
44
42
40
36
36
34
32
30
28
26
24
22
20
18
16
14
12
10
8
6
4
2
!
I
I
I
t
J
I
I
I
I
I
I
I
1
I
I
I
I
* « « »
-90 -60 -30 0
NUMBER OF OCCURRENCES BY DIFFERENCE
Parallel-Component Difference in Knots
Operational Segments MINUS AIDS Derived Segments
MEAN s
VARIANCE =
MEAN (ABSOLUTE DIF.)=
STANDARD DEVIATION s
90% CONFIDENCE LIMITS
TOTAL OCCURRENCES =
-8,72222223
400.533951
15.1111111
20.0133443
-41.6441737
36
TO 24.1997292
S,"
CARRIER; RED DIRECTION; Eastbound
REGION; Polar
A-55
8o
78
76
74
72
70
68
66
64
62
60
58
56
54
52
50
48
4b
44
42
40
38
36
34
32
30
28
26
24
22
20
18
16
14
12
10
8
6
4
2
»
I
I
I
j» X
j xxxxxx
{XXXXXtfXX* 5 « X X« *
-60 '' ^30 0 "* 460 '' +90
NUMBER OF OCCURRENCES BY DIFFERENCE
MagrilTiude of Vector Difference in Knots
Operational Segments MINUS AIDS Derived Segments
MEAN 5
VARIANCE =
MEAN (ABSOLUTE DIF.)=
STANDARD DEVIATION =
90$ CONFIDENCE LIMITS
TOTAL OCCURRENCES =
18.0833333
240.465278
18.0833333
15.5069429
-7.42558775
36
TO 43.5922544
CARRIER: RED DIRECTION: Eastbound
REGION: Polar
A-56
80
78
76
74
72
70
68
66
64
62
60
58
56
54
52
50
48
46
44
42
40
38
36
34
32
30
28
26
24
22
20
18
16
14
12
10
8
6
4
2
7f
-30
.20
-10
0
+ 10
+20
NUMBER OF OCCURRENCES BY DIFFERENCE
Temperature Difference in Degress Centigrade
Operational Segments MINUS AIDS Derived Segments
MEAN = .391304348
VARIANCE = 11.1077505
MEAN (ABSOLUTE DIF.)= 2.65217391
STANDARD DEVIATION = 3.3328292
90 % CONFIDENCE LIMITS -5.09119969
TOTAL OCCURRENCES r 46
TO
+ +
+30
.87380838
CARRIER: RED
DIRECTION: V/estbound
REGION: Polar
SPEAS
A-57
80
1
78
1
76
I
74
1
72
1
1
70
1
1
68
1
66
1
64
\
\
62
1
60
I
58
1
56
!
54
1
1
52
1
1
50
1
J
48
t
1
46
1
44
1
1
42
1
40
1
1
38
1
1
36
1
34
1
1
32
1
1
30
1
1
28
1
1
26
1
1
24
1
22
f
1
20
1
1
18
1
1
16
1
\
14
1
1
12
1
1
10
1
1
8
1
t
6
« j
4
# If-S 1
2 *
* » « s « » » *
-90
-60 -30 0
+30
+60
NUMBEH OF OCCURRENCES BY DIFFERENCE
•• +
+90
V/ind Direction Difference in Degrees
Operational Segments MINUS AIDS Derived Segments
MEAN = -2.61702128
VARIANCE = 1122.32141
MEAN (ABSOLUTE DIF.)= 24.787234
STANDARD DEVIATION = 33.5010659
90% CONFIDENCE LIMITS -57.7262746
TOTAL OCCURRENCES r 47
DIRECTION: Westbound
TO 52.4922321
CARRIER: RED
REGION: Polar
- SPEAS
A-58
80
78
76
74
72
70
68
66
64
62
60
58
56
54
52
50
48
46
44
42
40
38
36
34
32
30
28
26
24
22
20
18
16
14
12
10
8
6
4
2
if
-90
-60
-30
0
+30
+60
HUMBER OF OCCURRENCES BY DIFFERENCE
Wind Speed Difference in Knots
Operational Segments MINUS AIDS Derived Segments
MEAN =
VARIANCE =
MEAN (ABSOLUTE DIF. )=
STANDARD DEVIATION
90 % CONFIDENCE LIMITS
TOTAL OCCURRENCES =
-9.14893617
233.616116
14
15.2845053
-34.2919482
47
TO 1
+ +
+90
5.9940758
CARRIER: RED
DIRECTION: Vfestbound
REGION; Polar
. SPEAS
15
76
74
72
70
68
66
64
62
60
58
56
54
52
50
48
4b
44
42
40
38
36
34
32
30
28
26
24
22
20
18
16
14
12
10
8
6
4
2
-go
»
«
*
« »
««« «
A-59
-60
- 4 -
■ 4 -
' 4 -
-30
4-30
460
— +
+90
NUMBER OF OCCURRENCES BY DIFFERENCE
Cross-Component Difference in Knots
Operational Segments MINUS AIDS Derived Segments
MEAN = -2
VARIANCE = 141.191489
MEAN (ABSOLUTE DIFjr 9.19148937
STANDARD DEVIATION = 11.8824025
90% CONFIDENCE LIMITS -21.5465521
TOTAL OCCURRENCES = 47
TO 17.5465521
CARRIER: RED DiRECnON: Westbound REGION; Polar
J SP£AS
A-60
80
78
76
74
72
70
68
66
64
62
60
58
56
54
52
50
48
4b
44
42
40
36
36
34
32
30
28
26
24
22
20
18
16
14
12
10
8
6
4
2
-90
»
-60
>4*
.4-
' 4 “
-30
+30
460
NUMBER OF OCCURRENCES BY DIFFERENCE
Parallel-Component Difference in Knots
Operational Segments MINUS AIDS Derived Segments
MEAN = -12.0212766
VARIANCE = 218,488909
MEAN (ABSOLUTE DIF.)= 15-0851064
STANDARD DEVIATION = 14-7813704
90? CONFIDENCE LIMITS -36-3366308
TOTAL OCCURRENCES = 47
TO
CARRIER: RED DIRECTION; Westbound REGION: Polar
+90
12.2940776
. SPBAS
. 80
78
76
• 74
72
70
68
66
64
62
60
58
5b
54
52
50
48
4fa
44
42
40
. 3«
36
34
32
30
2b
26
24
22
20
1b
16
14
12
10
8
6
4,
2
+— — f—
-50 -60
+
-30
■+
I »
I « *
I »
; « »«««» 9 *
I «««««««»
9
•f60 +90
A*61
I
i
^^UMBEH OF OCCURRENCES BY DIFFERENCE
Magnitude of Vector Difference in Knots
Operational Segments MINUS AIDS Derived Segments
MEAN =
VARIANCE =
MEAN (ABSOLUTE DIF.)=
STANDARD DEVIATION =
90? CONFIDENCE LIMITS
TOTAL OCCURRENCES =
18.9574468
138.338615
18.9574468
11.7617437
-.390621595
47
TO 38.3055152
CARRIER: RED DIRECTION: Westbound REGION: Polar
, SPEAS
A- 62
OperatlonaJL Segiients MINUS AIDS Derived Segments
BMS of Vector Error = 28,530048
TOTAL OCCURRENCES = 165
CARRIER: RED DIRECTION; Eastbound REGION; North Atlantic
Operational Segments MINUS AIDS Derived Segments
RMS of Vector Error s 21.911624
TOTAL OCCURRENCES = 327
CARRIER; RED DIRECTION; Westbound REGION; North Atlantic
Operational Segm^ita MINUS AIDS Derived Segments
RMS Qi Vector Error = 23.8216755
TOTAL OCCURRENCES = 36
CARRIER: RED DIRECTION; Eastbound REGION; Polar
Operational Segments MINUS AIDS Derived Segments
RMS Of Vector Error = 22.3097155
TOTAL OCCURRENCES = 47
CARRIER; RED DIRECHON: Westbound REGION; Polar