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FAA-RD-78-45 Project Report ATC-80 Air Traffic Density and Distribution Measurements W. H. Harman 3 May 1979 Lincoln Laboratory MASSACHUSETTS INSTITUTE OF TECHNOLOGY LEXINGTON, MASSACHUSETTS Prepared for the Federal Aviation Administration, Washington, D.C. 20591 This document is available to the public through the National Technical Information Service, Springfield, VA 22161

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  • FAA-RD-78-45

    Project ReportATC-80

    Air Traffic Density and

    Distribution Measurements

    W. H. Harman

    3 May 1979

    Lincoln Laboratory MASSACHUSETTS INSTITUTE OF TECHNOLOGY

    LEXINGTON, MASSACHUSETTS

    Prepared for the Federal Aviation Administration, Washington, D.C. 20591

    This document is available to the public through

    the National Technical Information Service, Springfield, VA 22161

  • This document is disseminated under the sponsorship of the Department of Transportation in the interest of information exchange. The United States Government assumes no liability for its contents or use thereof.

  • TABLE OF CONTENTS

    1.0 INTRODUCTION . 1

    2.0 TRAFFIC IN THE LA BASIN 2

    2.1 Spatial Distribution 2 2.2 Variation with Time 5

    2.2.1 Short-Term Variation . . 5 2.2.2 Day-to-Day Variation . . . . . 5

    3.0 TRAFFIC IN OTHER LOCATIONS. 10

    4.0 COMPARISON WITH THE STANDARD LA HIGH DENSITY MODEL. 19

    5.0 DATA VALIDITY 24

    6.0 SUMMARY 29

    REFERENCES .• . . . . 30

    APPENDIX DETAILED COMPUTER OUTPUTS . . A-I

    i

  • Fig. No.

    1

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    LIST OF ILLUSTRATIONS

    Traffic Density Map, LA Basin

    Range Distribution of Traffic -- LA Basin •

    Time Variation, Traffic in the LA Area - Peak Location

    Time Variation of Traffic in the LA Basin - Total .

    Short Term Variability - Cumulative Distribution of Aircraft Count . . . . . . . • . . . . . . . • . . •

    Short Term Variability - Comparison Between Mean and Standard Deviation . . . . • . . . . . . . .

    Day-to-Day Comparison of LA Basin Traffic .

    Traffic Density Map, Washington, D.C...

    Traffic Density Map, Philadelphia

    Traffic Density Map, Boston •.

    Traffic Distributions in Range

    Day-to-Day Comparison of Washington Traffic

    Day-to-Day Comparison of Philadelphia Traffic . Day-to-Day Comparison of Boston Traffic . Traffic Density Map, LAI Traffic Model

    Range Distribution Histogram for the LAI Traffic Model ..

    Time Variation, LAI Traffic Model . . . . . .

    Comparison Between LAl Traffic Model and TMF Measurement . . . . . . .. ....

    X-Y Plot of Aircraft Tracks (LA Basin)

    Comparison Between TMF and ARTS as the Source of Traffic Density Data - Washington, D.C..•.........•.

    Comparison Between TMF and ARTS as the Source of Traffic Data - Boston . . . . . . • . . . . .

    LA Map, TMF8l26 ....

    LA Histogram, TMF8l26 .

    LA Mpa, TMF8l22 • • . . .

    LA Histogram, TMF8l22 .

    LA Map, TMF8046 ...

    Page

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    ii

    http:D.C..�.........�

  • Fig. No.

    A-6

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    A-IO

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    A-15

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    A-19

    A-20

    A-21

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    A-23

    A-24

    A-25

    A-26

    (

    LIST OF ILLUSTRATIONS (Continued)

    LA Histogram, TMF8046 . A-8

    LA Map, TMF8055 . . . ... . . . A-9

    LA Histogram, TMF8055 A-IO

    Washington Map, TMF4039 . A-II

    Washington Histogram, TMF4039 A-12

    Washington Map, TMF4001 ... A-13

    Washington Histogram, TMF4001 . A-14

    Washington Map, TMF4054 .... A-15

    Washington Histogram, TMF4054 . A-16

    Philadelphia Map, TMF5139 .. A-17

    Philadelphia Histogram, TMF5139 . A-18

    Philadelphia Map, TMF5026 ... A-19

    Philadelphia Histogram, TMF5026 A-20

    Philadelphia Map, TMF5005 .... A-21

    Philadelphia Histogram, TMF5005 . A-22

    Boston Map, TMF3031 . A-23

    Boston Histogram, TMF3031 . . . . . A-24

    Boston Map, TMF3037 ... A-25

    Boston Histogram, TMF3037 . . . . . A-26

    Boston Map, TMF3008 . . . .. . ... A-27

    Boston Histogram, TMF3008 • A-28

    iii

  • 1.0 INTRODUCTION

    This report summarizes the results of a study to determine air traffic densities at several important locations in the United States. This type of information is needed in the development of air traffic control systems such as DABS and BCAS*. The design and evaluation of these systems depend on tr.affic density in several ways: computer track files must be large enough to accommodate all of the traffic encountered, and the tolerance to interference must be sufficient to permit undegraded operation even in the presence of the high levels of interference which are to be expected in high traffic density .

    • This report presents the results of measurements made in 1976 to determine

    the peak air traffic density, its spatial distribution, and its variation with time for transponder equipped aircraft in the Los Angeles area and at several locations on the East Coast.

    The primary facility used for these measurements was the M.I.T. Lincoln Laboratory Transportable Measurements Facility (TMF, Ref. 3). The TMF was originally built and operated for the purpose of testing the design of DABS in realistic air traffic environments. During these tests it was found that the quality of the TMF surveillance data was markedly superior to that of the data produced by the currently operational ATCRBS** equipment. Aircraft tracks in TMF were seen to be more uniform and regular: having significantly fewer missed reports, and having significantly improved range and azimuth accuracies (Ref. 4). For this reason, TMF data was used in this traffic density analysis.

    *Discrete !ddress ~eacon ~ystem (Ref. 1); ~eacon Collision Avoidance ~ystem (Ref. 2).

    **Air Traffic Control Radar Beacon ~ystem.

    1

  • 2.0 TRAFFIC IN THE LA BASIN

    The Los Angeles Basin is reputed to have the highest traffic density in the United States. As a result, there is considerable interest in current LA traffic measurements.

    2.1 Spatial Distribution

    Figure 1 shows a traffic density map of the LA Basin. These results were obtained from a 20 minute recording of TMF data in November 1976. Each alphanumeric symbol represents the time average of the traffic density within 10 nmi of that location. That is, the aircraft located within a circle of radius R = 10 nmi were counted, and that count averaged over the duration of the sample (here 20 min.); this average count was then divided by the area nR2 to obtain a density p in aircraft per nmi 2 . The result is shown via a logarithmic scale defined as follows. Let

    p p* = 10 10glO 0.001 aircraft/nmi2

    Then p* is converted into an integer by dropping any digits to the right of the decimal point. That integer is then represented by an alphabet-extended decimal system where A = 10, B = 11, C = 12, etc. The logarithmic scale is marked in Fig. 1 for reference.

    The counting of aircraft is based on target reports and tracks. A target report which correlates with a track is counted as one aircraft.

    When the Fig. 1 data were recorded, the TMF was located at Brea, Cali fornia on a prominent hilltop radar site about 20 nmi inland from the coast (33.96° N. Lat., 117.91° W. Long., 1400 ft. elev.). This site affords good coverage of the LA Basin including the San Fernando Valley and the San Bernardino region. Measurements which assess the coverage of this site are discussed in Section 5.

    The result~ in Fig. 1 indicate that the spatial distribution of traffic is very nonuniform. As would be expected, densities are much lower over the ocean than over the land, and are relatively low over the mountainous region be&inning about 15 nmi north of the TMF. Peak density is seen to occur in the Long Beach area. Although not as dense as the peak, local concentrations are apparent in the Van Nuys/Burbank area, in the Ontario/Riverside area, and along the coast southeast of LA.

    Figure 2 shows the range distribution of traffic about the location of maximum density, namely (X, Y) = (-10 nmi, -10 nmi). This plot also includes for comparison two simple mathematical models, uniform-in-area and uniformin-range. Comparisons indicate that within 10 nmi, the LA data may be approximately described as uniform-in-area with density of 0.1 aircraft/nmi2 , and

    2

  • ATe-so (1)

    MEASUREMENT TMF 8126 SUN. 21 NOV.• 1976 11 :30-11 :50 PST

    20

    ·. -C' ~ 0

    :I: ~

    a: o z -20

    -~ z> -40 .

    ~o -40 -20 a 20 40

    X(NMI EAST. MAGJ

    KEY SYMBOL

    123456789ABCOEFGHIJKLMNOpaRST~ I , I I , I I I I I I I ' , I I I'i Iii' , I I I • I' iii, Ii 'i i ,

    0.001 0.01 0.1 1

    TRAFFIC DENSITY,P (AIRCRAFT/NMJ2)

    Fig.I. Traffic density map, LA Basin

    3

  • zi a) HISTOGRAM

    i ATe-80 ( 2 ) -z N 10 X ~ o - ~ ~ ~ ~~ ~ LU - ~~ ~~~ Z - ~~~ ~~~ , ~ ~~~~ Z~ ~/~ IL. - ~~~~~~~%~ ~~~~~ ~ ~ f '/ ~'~ ~.. "/ ~ ~ a: - v.~~ "/~Y~~~~~/y~~~~ o a: - ~~~~/~/~~~~~~~~~~~~ ~ -~~~~~~~~~~~~~~~~~~~~ --~

    -~~~Y~I/~~~~~~/~~~~ IL. ~~~~~~~~~~v~V~~~~~~Y.~v.v.~v.vzv.~o / v.~ ~ ~~ ~~ v.J a: ~~~~~~~~~~~~~~~~~V ~'~v~v.~~~~~~~~~~LU ~~/~~/~~y~Z ~ ~'l~~~~~~~~~~~~~/~~~~CD ~~v~/~ ~ ~ z~~~v.~ V'f ~ ~~~~~~%~~~~~::E o :;:) z o 10 20 30 40 50 60

    RANGE- (NMn

    b) CUMULATIVE DISTRIBUTIONa: LtJ C' Z ~ a: ! 100 TMF 8126X MEASUREMENT!:: ~

    ~ IL. UNIFORM-IN-RANGE MODEL.4: a: (,) 3 AIRCRAFT/NM a: 10 ~ IL. o UNIFORM-IN-AREA MODEL. a: 0.1 AIRCRAFT/NM2 LU CD ::E :;:)z: 1- ~__oI......IL-L.~ L.__....a.___II_...a._L._.........,

    2 5 10 20 50 RANGE R (NMn

    Fig.2. Range distribution of traffic -- LA Basin

    4

  • --

    t.

    ~.

    -'

    between 10 and 50 nmi the data may be approximately described as uniform-inrange with density of 3 aircraft/nmi.

    2.2 Variation with Time

    2.2.1 Short-Term Variation

    The results shown in Figs. 1 and 2 were obtained by averaging over a period of 20 minutes. Variations with time throughout that period are plotted in Figs. 3 and 4. Figure 3 pertains to the traffic within a range of 10 nmi of the location of highest density, and Fig. 4 includes all traffic within 80 nmi of the TMF.

    The amount of variability in aircraft count is shown in Fig. 5 in the form of the cumulative distribution and in Fig. 6 as the standard deviation. It might have been expected that the amount of variability would agree approximately with Poisson statistics. In the "gas model" used to represent air traffic in certain cases, the probability distribution of aircraft count within any region is Poisson. For a random variable with Poisson distribution, the standard deviation is equal to the square root of the average value (Ref. 5). This relationship is plotted in Fig. 6 for comparison with the data. It is evident that the measurements conform to the Poisson law to first order, and yet the standard deviation of the measured data is consistently less than this simple rule .. Possible mechanisms for this difference are (1) the structure of air traffic due to ATC and (2) the shortness of the sample (20 min.) which, because of the fact that it takes about 10 to 60 minutes for individual aircraft to pass through the counting region, generally tends to decrease the standard deviation of the sample relative to the longer term standard deviation.

    2.2.2 Day-to-Day Variation

    In order to assess day-to-day variation, TMF data tapes recorded on different days were processed. Figure 7 shows a comparison of LA Basin results on four different days. Although not all identical, the results are seen to be similar. The primary features mentioned above in connection with tape TMF8l26 (low density over ocean and mountains, peak occurring around Long Beach, etc.) are evident in the other three day's traffic as well. TMF8l26 recorded on a Sunday, exhibits the highest density among these four samples, but not by a large factor.

    The Appendix gives more detailed computer outputs for these four TMF tapes. The traffic density map and the range distribution histogram centered at the location of highest density are given for each case.

    5

  • 40 NUMBER OF AIRCRAFT IN EACH SCAN

    30

    /.. r!-.

    hVERAGED OVER 40 sec

    / AVERAGED OVER 120 sec .. ,

    .~

    rlL.

  • 150

    I-La.. 125

  • ATC-SO (5)Lt. o

    .... TAPE TMF 8128. 20 MIN. 8AMitlE ~ Lt. 100 ....---------~-~~--....;....;;..---.;...""'7"""__:II~____, W-C_ 25·NMI"a:-C RANGE-CO(/.) LIMIT .... g;~ Z-CO W::I:(/.) °Om 50~---------6--+---------4~-G----+---ta:--cW::I: v'l.~ .... wzz>-::» i=(/.)Oc(ZO...Jc( 0i ~ 0........---.--.....,j5.....0.....a.----.....1-0-0.....a.-""'--......-...1-5-0-....------2....0-0~ ::»° INSTANTANEOUS NO. OF AIRCRAFT

    Fig.5. Short term variability - Cumulative distribution of aircraft count

    ATC-SO (6)

    TAPE TMF 8128. 20 MIN. SAMPLE

    o 20 z o ~ w c 10 c a: < c z LA BASIN < MEASUREMENTS... en "

    50 100 150 200

    AVERAGE NO. OF AIRCRAFT, n

    Fig.6. Short term variability - Comparison between mean and standard deviation

    8

  • fl>{AIRCRAFT40 9 0.01 {AIRCRAFT09~ ~ 0 PER nmi2 0.03 .2

    0 9 ~~~ PEAK 0.07 PER nml 20 ...

    ~ -= o z -20 'E c

    -40

    -60 TMF 8046 TMF 8055 THURS. 16:30 PST 11/11/76 MON. 12:30 PST 11/15/76

    40

    20a. 0 ~

    0 .s::

    0 ~ -z -20; 'E c ~ -40

    -60 TMF 8122 TMF 8126 SAT. 14:00 PST 11/20/76 SUN. '1:30 PST 11/21/76

    -60 -40 -20 o 20 40 60 -60 -40 -20 o 20 40 60 X lnmi East, Mag.) X lnmi East, Mag.)

    .... Fig.7 . Day-to-day comparison of LA Basin traffic

    9

  • 3.0 TRAFFIC IN OTHER LOCATIONS

    Figures 8, 9, and 10 present traffic density maps of, respectively, Washington, D.C., Philadelphia, and Boston. As in Fig. 1, the sYmbols plotted indicate the local density, averaged over the region within 10 nmi of each point. The Boston data was recorded with the TMF located at Deer Island, a favorable site about 2 nmi east of Logan Airport. This site was found to give excellent coverage of the airspace around Boston. The Philadelphia data was recorded when the TMF was located near Clementon, N.J., a site about 15 nmi southeast of Philadelphia International Airport also providing excellent coverage.

    The Washington data in Fig. 8 was recorded with the TMF located at Washington National Airport. In this case it was found that an excessive number of targets were recorded at close range -- thought to be primarily false targets due to reflections and imperfect sidelobe suppression. Because of this condition, all targets with ranges less than 2 nmi were deleted prior to the computation of traffic densities. This range filtering was done only in the case of the Washington data.

    Cumulative range distributions, N(R), of aircraft plotted in Fig. 11 permit comparisons to be made among sites and among different days at each site. Each curve gives the range distribution relative to the location of maximum dens.ity. The curve marked "high density traffic model LAl" is discussed in the next section.

    The day-to-day similarities in LA traffic, discussed above in connection with Fig. 7, are also apparent here, with TMF8l26 having the maximum density. It is also seen that TMF8l26 exhibits the maximum density among all of the tapes reduced, regardless of location. The results exhibit a moderate day-to-day repeatability in each location. Although the curve shapes in Fig. 11 are all similar, certain differences may be noted. For example N(lO nmi) results at Boston, Philadelphia, and Washington are all approximately equal, and yet N(60 nmi) results exhibit appreciable differences, with Philadelphia exceeding Washington, and Washington exceeding Boston. In other words, the traffic density in Boston falls off rapidly away from the location of peak density, while Washington and Philadelphia traffic densities falloff less rapidly. In all three cases, the distribution beyond 10 nmi is moderately well approximately by a uniform-in-range model, with 1 to 2 aircraft per nmi (which is considerably less than the 3 aircraft per nmi of LA).

    Density map comparisons showing day-to-day repeatability to Washington, Philadelphia, and Boston are given in Figs. 12, 13, and 14. Day-to-day changes in spatial distribution are more evident in the Philadelphia plots as compared with the other locations. These changes may be the result of the

    10

  • ATe-80 (8)

    MEASUREMENT TMF 4039 MON. 24 MAY. 1976. 11:14-11:34 EDT

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    KEY -SYMBOL

    123456189ABCDEFGHlJKLMNOPQRST i "1"11"1"1'/11"1 "I"II'IL."i' iii. iii.

    0.001 0.01 0.1 1

    TRAFFIC DENSITY. p (AIRCRAFTINMl2)

    Fig.8. Traffic density map, Washington, D.C.

    11

  • ATe-80 (9)

    MEASUREMENT TMF 5026 THURS. 24 JUNE, 1976 13:58-14:28 EDT

    , .. r , " 7 t ., • or r ,. ., I , 7 , '1 9 q"

    40

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    X(NMI EAST,MAGJ

    KEY SYMBOL

    1234 56789ABCOE FGH IJ KLMNOPQRST "1"11"1""'11'11 "I"II'ILI ' "~I ,iii • "~'I

    0.001 0.01 0.1 1

    TRAFFIC DENSITY.p CAIRCRAFT/NMI2)

    Fig.9. Traffic density map, Philadelphia

    12

  • ATe-so (10)

    MEASUREMENT TMF 3037 MON. 29 MARCH.1976. 15:41-15:59 EST

    I •

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    KEY -SYMBOL

    12345678 9ABCDE FGH I J K LMNOPQRS T , , I ' , I I ' I I ' , , ' , I I ' I I ' , I ' , I I ' I l-I i" i i; , V" ,

    0.001 0.01 0.1 1

    TRAFFIC DENSITY,p (AlRCRAFT/NMl2 )

    Fig.IO. Traffic density map, Boston

    13

  • 1000

    l18-4-19158 L L.A. HIGH DENSITY

    TRAFFIC MODEL LA'

    0::

    W (!) Z ~ 0::

    Z :I: 100 t

    ~

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  • ( .

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    Fig.12.

    40

    20

    0

    -40 TMF 4001 THURS. MAY 6, 1976,

    40

    20

    -20

    -40

    40

    20

    TMF 4045 FRI. MAY 28, 1976,

    -60 -40 -20

    -40

    -20

    C42-1705

    16:00 EDT

    40

    13:00 EDT

    0 20 40 60

    x (nmi EAST OF TMF, MAG)

    Day-to-day comparison of Washington traffic

    15

  • C42-1706

    40

    20

    O~---+---++""W---------i

    -20 .) TMF 5005

    -40 TUES. JUNE 15, 1976, 10:00 EDT

    ".

    C)

    < 4::i

    u: ::i... 0 ~

    :I: ...a:: 0 z E c:

    ~

    40

    20

    O~---f-...-..l~_~,*----------l

    -20

    -40

    x (nml EAST OF TMF, MAG)

    Fig. 13. Day-to-day comparison of Philadelphia traffic

    16

  • C42-1707

    0.01 ~ AIRCRAFT .02 f PER nml 2

    20

    O~----~~~-It--+----------4

    -20

    TMF 3008 -40 WED. MARCH 10,1976, 11: 42 EST

    -C) 404 2

    ~ 2 20... ~ X 0 ... a: i

    -20e c TMF 3031 >- -40 FR I. MARCH 26, 1976, 20:45 EST

    '.

    TMF 3037 MON. MARCH 29, 197 15: 40 EST

    -'

    Fig.14. Day-to-day comparison of Boston traffic

    17

  • fact that the Philadelphia traffic is much more uniformly distributed (as seen in Fig. 9), and so minor fluctuations in density can cause noticeable changes in the shapes of the shaded regions in Fig. 13.

    More detailed computer outputs for all of these cases are given in the Appendix.

    18

  • 4.0 COMPARISON WITH THE STANDARD LA HIGH DENSITY MODEL

    The LA Basin measurements have been compared with the LA Basin Standard Traffic Model (the high density 1982 model, ref. 6), herein called the "LAl" traffic model. A copy of the model was obtained on magnetic tape, and applied as the input to the traffic density analysis program. It was observed that traffic density increased steadily throughout the time period during which the model was taped, and for this reason the latter portion was selected for density analysis (time = 45856 to 46796 sec). The resulting density map (for R = 10 nmi) is shown in Fig. 15. Peak density, at p = 0.48 aircraft per sq. nmi, occurs in the Long Beach area, and about this location are computed the range histogram plotted in Fig. 16, the cumulative range distribution plotted in Fig. 11, and the instantaneous count uf aircraft within 10 nmi plotted in Fig. 17. A straightforward comparison between model and measurement is shown in Fig. 18, where rotation and offset have been applied to adjust for the difference in origins and the difference between true and magnetic north. It is apparent that the model and the measurement agree closely in spatial distribution but differ in scale by about 5:1.

    19

  • 100

    75

    50

    2

    25 5 cu 5 ::J 3 ~

    3 .r:-'"' 0 0Z

    1 "E 6 c 6 >- 3

    -25

    ~50

    CENTER POINT1--__ 0.1 }AIRCRAFT/nmi-75 L.A. INTERNATIONAL AIRPORT

    RANGE -10 nmi ~--0.01

    -100 -50 o 50 100

    x (nmi East, True)

    Fig.IS. Traffic density map, LAI traffic model

    20

  • - ---

    -r .....- 1 , , I , I I T , l18-4-20455 L

    ~50

    ~ -

    z I •

    ~ .....00 40 I-r-

    E .. c.. C\J ..... --::r: ~ U 1-- ......

  • l-4-20456 L

    150 . ,

    ..

    ~ ~

  • HIGH DENSITY MODEL

    0.1 0.2

    2 20 0.4 AIRCRAFT/nmi

    , -20 ,

    .;. C°4S" ....,.' .....

    0 (/~'2 ~',

    -40 ,,LA: 2 ...-0 .c-0 ~ MEAS. - TMF 8126 z 0.02'e 0.04c: Z

    0.08 AIRCRAFTInmi~ 20

    ,-40 -20 o 20 40

    X (nmi East of TMF, Ma(J)

    Fig.lB. Comparison between LAI traffic model and TMF measurement

    23

  • 5.0 DATA VALIDITY

    During the course of data reduction efforts a number of checks for validity of the results were made. Several of these are discussed here.

    When the high traffic densities in the Long Beach area data were first observed a question arose as to the qualit} of TMF surveillance data under such conditions. It was asked whether high-density interference effects such as synchronous garbles, phantoms, and fruit might be disturbing the ATCRBS-mode data to a degree where these high densities may not be accurately measureab1e. This issue was studied by means of X-Y plots of TMF data showing traffic in the high density area. The example shown in Fig. 19 includes the area from Long Beach through LA International Airport (LAX). This is a plot of the first 50 scans of tape TMF8126, showing target reports which correlate with tracks. Landing and takeoff traffic patterns at LAX, Long Beach, and other airports are clearly evident. The quality of the TMF surveillance data is seen to be good and is believed to be quite sufficient for the present purpose.

    All radar sites have coverage limitations to some degree, and these obviously interfere with the ability to measure traffic densities in the affected areas. The coverage qualities of the TMF Brea site were investigated in some detail because of the special interest in the LA Basin due to its high traffic concentration, and because of the mountainous terrain which may be expected to cause irregular coverage patterns. One specific area of interest is in the San Fernando Valley, in the vicinity of the Van Nuys and Burbank airports. These airports are noted for large numbers of small aircraft. Radar sites near LAX do not have good coverage of the San Fernando Valley because of the intervening Santa Monica Mountains. However, the TMF Brea site appears to be well located in this respect, having a relatively unobstructed view (from the southeast) of both sides of these mountains. While the TMF was at Brea, flight tests were conducted to measure low altitude coverage at a number of airports including those in the San Fernando Valley. Results are summarized in Table 1. These results confirm the original expectation that Brea is a good site, with widespread coverage throughout the LA Basin.

    This study attempts to focus on the airborne environment and thus be independent to the greatest extent possible of ground conditions, such as parameters of the sensor and the precise location of the sensor. If this .1 independence is achieved, then it should be possible to compare traffic density data recorded by two different sensors, such as TMF and ARTS-III, with slightly different sites, and find reasonable agreement. ARTS vs. TMF comparisons were carried out in two cases, one with the TMF/Deer Island compared with the ARTS at Boston Logan Airport, and the other between TMF and ARTS both located at Washington National Airport. In both cases, simultaneous recordings were used as inputs to the traffic density analysis program. The results, shown as traffic density maps are given in Figs. 20 and 21. Spatial distributions and absolute densities compare favorably, with ARTS showing slightly less traffic in both cases. This minor difference is probably attributable to the improvement in track reliabi1ities of TMF data relative to ARTS (Ref. 4).

    24

  • C42-1618 TAPE TMF 8126

    o__--------Ir---------,,--:--------'r---..c.•.T-----..,..,..--------:.., ...... ,... " .... \ i ....,.",' .. ,

    .' " .. ' "" ...... "

    ,.'

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    ::I: I

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    ....01

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    .15 ~'l~--------~F=..•..-.•;.~:"'rr.:.. ...,+,:.,.-,.••.........~,.... .......OO= ..=..,~......-----tr=~ ......--------~~.1""-'-'.-..- ..... ...- ~ :--r.,':~:rr==::!lr:== ••=."" .•=:=====: !. ,. 'r-.(... . r r . ....• '1-': .

    ':,: ", '1. ...;;\. ·1····1:

    " "'..( .' "., ,..~ll .'" .' :'

    . ",..' ...... ,.

    ~ •. ..•••.;'''' t-':' ,..' ~ .zoL--------'·...:...·::.·-!-::---...:..------J.:-'--------~.J,I~O:;----------:-,;'....;' '10.----------;0

    -z, ·zo·" -,

    X (NMI EAST OF TMF. MAG.)

    Fig.19. X-y plot of aircraft tracks (LA Basin)

    t.

    25

  • TABLE 1 MEASURED COVERAGE AT LA BASIN AIRPORTS

    Aircraft Altitude~ Lower Limit of Surveillance Coverage

    Airport Airport (Ft. Above Ground Level) Elevation

    (Ft. Above MSL) During During Landing Takeoff

    Burbank 775 a 300 Brackett Field 1000 a a Chino 652 100 100

    El Monte 296 a a Fullerton 96 a a Hawthorne 63 a a Long Beach 57 100 100

    Los Angeles 126 a 100 IntI.

    Ontario 952 a a Orange County 54 a a Santa Monica 175 200 400

    Torrance 101 0 0

    Van Nuys 800 400 300

    ,I

    26

  • 60 }0.028

    AIRCRAFT

    PER nmi 2

    N ......

    r 2

    .1£-~

    0 z "e c-~

    20

    -20

    -40 l18-4- 20451 L

    -40 -20 o 20 40 -40 -20 o 20 40

    x (nmi East, M09") x (nmi East, MOCJ.l

    Fig.20. Comparison between TMF density data - Washington, D.C.

    and ARTS as the source of traffic

  • 60 l18 -4-20459 L

    01 o 0.005 ~ .. S; I t' 0.01 ... o z

    "e 0.02 ~

    N ex>

    c PEAK 0.026 > -20

    AIRCRAFT PER

    nmi 2

    -40

    (0 )

    TMF 3037 -60 I I I I I I I I I I I

    -40 -20 o 20 40 -40 -20 o 20 40

    x (nmi East, MaQ.) x (nmi East, MaQ.l

    Fig.21. Comparison between TMF and ARTS as the source of traffic data - Boston

    :

  • 6.0 SUMMARY

    Air traffic measurements in LA, Washington, Philadelphia, and Boston have shown that traffic density is the highest in LA. The time and spatial average density over a circular region of 10 nmi radius reaches a peak value of 0.1 aircraft/sq. nmi in LA. Under comparable conditions the densities in Washington, Philadelphia, and Boston reach 0.02 to 0.04 aircraft/sq. nmi. These measurements include only ATCRBS-transponder equipped aircraft.

    These are peak densities which do not extend over large areas. Examination of the range distribution of aircraft relative to the point of highest density indicates that the region of constant density extends to a radius of about 10 to 15 nmi. Beyond that, the range distribution is better described as uniform-in-range, with a coefficient of about 3 aircraft/nmi in the case of LA.

    These measurements, made in 1976, were compared with the LAl Standard Traffic Model as to spatial distribution of traffic and absolute density. The results show that the model and the measurement differ by a scale factor of 5:1 (with density being greater in the model) but otherwise agree closely in spatial distribution.

    29

  • REFERENCES

    1. P.R. Drouilhet, "DABS: A System Description", Project Report ATC-42, Lincoln Laboratory, MIT, FAA-RD-74-l89 (18 November 1974).

    2. V.A. Orlando, J.D. Welch, "Beacon CAS (BCAS), An Integrated Air/Ground Collision Avoidance System", Project Report ATC-62, Lincoln Laboratory, MIT, FAA-RD-76-2 (23 March 1976).

    3. W.H. Harman, et aI, "Discrete Address Beacon System (DABS) Test Plan for FY1976", Project Report ATC-56, Lincoln Laboratory, MIT, FAA-RD-75-l45, (14 November 1975), p. 7-10.

    '4. W.I. Wells, "Verification of DABS Sensor Surveillance Performance

    (ATCRBS-mode) at Typical ASR Sites Throughout CONUS", Project Report ATC-79, Lincoln Laboratory, MIT FAA-RD-77-ll3 (20 December 1977).

    5. "Reference Data for Radio Engineers", ITT, Fifth Edition (1968) pp. 39-5.

    6. "User's Manual for the Los Angeles Basin Standard Traffic Model", MITRE Corp., FAA-RD-73-88, p. 73.

    30

  • APPENDIX

    DETAILED COMPUTER OUTPUTS

    For each of the TMF measurements discussed in Sections 2 and 3, the traffic density map and the range distribution histogram, centered at the location of highest density, are given in this appendix. The traffic density maps all indicate density by the same log scale as defined in Fig. 1, and in all cases the density is the average within a radius of 10 nmi.

    Table Al serves as a listing of the contents of this Appendix and also includes the date and time-of-day of each measurement.

    A-I

  • Measurement No. Location

    TABLE Ai CONTENTS OF THE APPENDIX

    -Figure No. Date of Map Histogram Measurement Day Local Time

    Max. Time-and Spatia1

    Average Aircraft Count, R=10 nmi

    TMF 8126 LA Al A2 21 Nov. 76 Sun. 11: 30-11 :49 PST 30

    TMF 8122 LA A3 A4 20 Nov. 76 Sat. 14:00-14:18 PST 26

    TMF 8046 LA A5 A6 11 Nov. 76 Thurs. 16:26-16:45 PST 26

    TMF 8055 LA A7 A8 15 Nov. 76 Mon. 12:38-12:56 PST 21

    >I

    N

    TMF

    TMF

    4039

    4001

    Washington

    Washington

    A9

    All

    A10

    A12

    24 May 76

    6 May 76

    Mon.

    Thurs.

    11: 14-11: 34 EDT

    15:57-16:21 EDT

    12

    8

    TMF 4054 Washington AU A14 28 May 76 Fri. 12:58-13:24 EDT 8

    TMF 5139 Phila. A15 A16 21 July 76 Wed. 10:14-10:26 EDT 11

    TMF 5026 Phila. A17 A18 24 June 76 Thurs. 13:58-14:28 EDT 8

    TI·1F 5005 Phila. A19 A20 15 June 76 Tues. 09:55-10:08 EDT 9

    TMF 3031 Boston A21 A22 26 March 76 Fri. 20:45-21:04 EST 12

    TMF 3037 Boston A23 A24 29 March 76 Mon. 15:41-15:59 EST 10

    TMF 3008 Boston A25 A26 10 March 76 Wed. 11:42-12:12 EST 8

  • 100 I I I I I I

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    Fig.A-l. LA map, TMF8126

    A-3

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    7 7 7 .. 2 5 5 2

    -75 .... -:

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    -100 -75 -50 -25 o 25 50 75 100 X (nmi East I Mag)

    Fig.A-3. LA map, TMF8122

    A-5

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    ..... f0- r- 8

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    -75 1 3 '+ 5 .. 'I 1 I I 2

    ~~~...L~c~l -100 -75 -50 -25 a 25 50 75 100

    X (nmi East, Mag)

    Fig.A-5. LA map, TMF8046

    A-7

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    6 - -rl.L

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    X (nmi East, Mag)

    Fig.A-7. LA map, TMF8055

    A-9

  • - -

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    -75 ~ -

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    -100 -75 -50 -25 o 25 50 75 100

    X (nmi East, Mag)"

    -' Fig.A-9. Washington map, TMF4039

    A-II

  • - -

    , , i i , , i i i i , I I I5.0 i I I-l' l-4-20469 L 4.5 ~

    ~ CENTERPOINT: -15 nmi, 5 nmi4.0 ~

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    -- -0.5 - I

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    mJ4 o 10 20 4030 50 60 70 9080 100

    RANGE (nmi)

    ".Fig.A-IO. Washington histogram, TMF4039

    A-12

  • 100 I I I I I I

    l-4-20470 L

    -75 r'

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    0 Ol

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    2 1

    -75 1 -

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    -100 -75 -50 -25 0 25 50 75 100

    X (nmi East, Mag)

    Fig. A-II. Washington map, TMF400I

    A-I3

  • ----

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    3 3 If 6 1 8 8 8 2 3 .. 5 6 1 1 6 5 1 3 .. 5 5 It 3 2 1

    1 332 1 1

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    1 1 2 2 2

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    Fig.A-16. Philadelphia histogram, TMF5I39

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    Fig.A-18. Philadelphia histogram, TMF5026

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    A-25

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    A-27

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    Fig.A-26. Boston histogram, TMF3008

    A-28