128
FORECASTING THE MOTION OF NORTHEASTERN PACIFIC TROPICAL CYCLONES David Lansing Freeman

Forecasting the motion of northeastern Pacific tropical cyclones. · 2016-06-02 · 21.SameasFig.12,exceptfor1971data 51 22.SameasFig.13,exceptfor1971data 51 23.TYRACKvsOFFICIAL;TYRACKvsMODHATR(operational

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Page 1: Forecasting the motion of northeastern Pacific tropical cyclones. · 2016-06-02 · 21.SameasFig.12,exceptfor1971data 51 22.SameasFig.13,exceptfor1971data 51 23.TYRACKvsOFFICIAL;TYRACKvsMODHATR(operational

FORECASTING THE MOTION OF

NORTHEASTERN PACIFIC TROPICAL CYCLONES

David Lansing Freeman

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NAVAL POSTGRADUATE SCHOOL

Monterey, California

THESISForecasting the Motion of

Northeastern Pacific Tropical Cy<3lones

by

David Lansing Freeman

Thesis Advisor: R. J. Renard

March 1972

Approved £oti pubtic hjdiza&z.', dU&ubiitLon ixntunLtzd

.

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Forecasting the Motion of Northeastern Pacific

Tropical Cyclones

by

David Lansing FreemanLieutenant, United States NavyB.A., Miami University, 1965

Submitted in partial fulfillment of therequirements for the degree of

MASTER OF SCIENCE IN METEOROLOGY

from theNAVAL POSTGRADUATE SCHOOL

March 1972

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ABSTRACT

Several operational methods of forecasting the motion of

tropical cyclones over the northeast Pacific Ocean area are

evaluated for three 1970 and nine 1971 hurricanes. OFFICIAL

forecast accuracy is shown to excel that of TYRACK (1971

only) and HATRACK (both years). The MODIFIED HATRACK (MOD-

HATR) forecast scheme developed by the Navy in Monterey, Cali-

fornia, comprising a numerical steering component (HATRACK)

and a statistical modification (correction for bias in HAT-

RACK) is applied to the same 1970-71 operational data, with

the result that the MODHATR accuracy, using 850-mb steering,

is shown to be superior to HATRACK and TYRACK while only

slightly inferior to the OFFICIAL forecasts. Specifically,

MODHATR forecast accuracy lies in the range 7 to 5 kt for 12

to 72 hour forecasts, respectively, while the ratios of OFFI-

CIAL to MODHATR errors range from 1 to .7 in 1970 for fore-

casts 12 to 48 hours and from .9 to .8 in 1971 for 12 to 72

hour forecasts, respectively. The number of 1970 forecasts

evaluated in the test averaged 35 per forecast interval

while the 1971 forecast sample ranged from 160 at 12 hours

to 45 at 72 hours.

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TABLE OF CONTENTS

I. OBJECTIVES OF THE STUDY 8

II. THE AREA OF STUDY 9

III. AVAILABLE FORECAST TECHNIQUES 11

A. THE OFFICIAL FORECAST 11

B. THE TYRACK SCHEME 12

C. THE HATRACK SCHEME 13

D. THE MODIFIED HATRACK SCHEME 15

IV. TESTING PROCEDURES 17

V. RESULTS AND ERROR ANALYSIS 20

A. RESULTS 20

B. ERROR ANALYSIS 25

VI. CONCLUSIONS 28

LIST OF REFERENCES 57

INITIAL DISTRIBUTION LIST 58

FORM DD 1473 60

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LIST OF TABLES

I. The five-year history of tropical cycloneactivity in the northeastern Pacific Ocean 29

II. Ship traffic in area of concern 29

III. The mean MODHATR (operational bias) error as

a function of initial times 30

IV. Accuracy of MODHATR (operational bias) forecasts

as a function of start times 31

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LIST OF FIGURES

1. Area of concern, showing observation networkand area of tropical cyclone activity 32

2. Sample hurricane warning and OFFICIAL forecast 33

3. Sample TYRACK forecast 34

4. Sample HATRACK forecast 35

5. HATRACK errors, 1970 36

6. HATRACK vs OFFICIAL errors: homogeneous sample,1970 37

7. HATRACK vs OFFICIAL errors: non-homogeneoussample, 1970 38

8. MODHATR (best-track bias) errors: 1970 39

9. MODHATR (best-track bias) vs OFFICIAL errors:homogeneous sample, 1970 40

10. MODHATR (best-track bias) vs OFFICIAL errors:non-homogeneous sample, 1970 41

11. MODHATR (operational bias) vs OFFICIAL errors:1970 42

12. MODHATR (operational bias) vs OFFICIAL errors:homogeneous sample, 1970 43

13. MODHATR (operational bias) vs OFFICIAL errors:non-homogeneous sample, 1970 43

14. Same as Fig. 5, except for 1971 data 44

15. Same as Fig. 6, except for 1971 data 45

16. Same as Fig. 7, except for 1971 data 46

17. Same as Fig. 8, except for 1971 data 47

18. Same as Fig. 9, except for 1971 data 48

19. Same as Fig. 10, except for 1971 data 49

,20. Same as Fig. 11, except for 1971 data 50

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21. Same as Fig. 12, except for 1971 data 51

22. Same as Fig. 13, except for 1971 data 51

23. TYRACK vs OFFICIAL; TYRACK vs MODHATR (operationalbias): homogeneous samples, 1971 52

24. Plot of best track and operational track forHurricane Lorraine 1970 53

25. Example of the discontinuity in the operationaltrack resulting from relocation of the operationalposition to agree with aircraft fix 5^

26. OFFICIAL and MODHATR (operational bias) errors, thelatter using HATRACK steering initialized at 1200and 1800GMT: 1970 55

27. Similar to Fig. 26, except for 1971 data 56

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ACKNOWLEDGEMENTS

The author wishes to thank Professor Robert J. Renard,

faculty advisor, for his valuable assistance and unending

guidance during the course of this study.

Appreciation is also extended to Fleet Weather Facility,

Alameda and Fleet Numerical Weather Central, Monterey,

for providing the data used in this project and to the

evening crew at the Church Computer Center, Naval Post-

graduate School, for their assistance in completing the

numerical work involved in this study.

A special thanks to Mr. Stephen Rinard for his untiring

programming and troubleshooting efforts. But, most of all,

I thank my family for giving up the pleasures of their

evenings and weekends to allow completion of this project.

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I. OBJECTIVES OF THE STUDY

The objectives of the study were as follows:

1. To generally assess the current status of subjec-

tive and objective forecasting of tropical cyclone

motion in the northeastern Pacific Ocean area.

2. In particular, to determine the applicability of

the MODIFIED HATRACK forecast scheme to the move-

ment of such tropical cyclones.

3. To advise Fleet Weather Facility (FWF), Alameda,

on the utility of available objective guidance

for the 1972 tropical cyclone season.

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II. THE AREA OF STUDY

The tropical northeastern Pacific Ocean ranks second,

globally, in the production of tropical cyclones of at

least storm intensity [Atkinson 197l] • Fig. 1 shows the

area of usual occurrence. Climatology shows that the cy-

clone season begins in May and ends in November, with

the peak of activity in August and September. Table 1

illustrates the cyclone activity of the past five years

(FWC/JTWC 197l] , during which era satellite observations

played an important role in detection and tracking.

The tropical northeastern Pacific Ocean is notorious

for its sparsity of' data, especially in the area of tropi-

cal cyclone activity. Fig. 1, illustrative of this fact,

shows the fixed reporting stations and a typical distribu-

tion of reports from transiting ships. Because of this

situation, one of the greatest aids in locating the cyclones

has been the daily Automatic Picture Transmission (APT)

pictures received via Forecasters Facsimile (FOFAX)

[FWC/JTWC 1972] . Such observations supplement limited

aircraft reconnaissance of the cyclones.

The importance of the area to the Navy is demonstrated

in Table 2 which shows an example of the number, points

of origin and destinations of Navy ships and ships under

Naval contract which ply the area. Information concerning

the number of non-Navy ships is not known but the number of

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ships which transit the Panama Canal is in excess of 14,000

(World Almanac 1972] per year some of which evidently

pass through part of the tropical northeastern Pacific

Ocean.

10

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III. AVAILABLE FORECAST TECHNIQUES

The forecasting of cyclone movement in the tropical

northeastern Pacific Ocean area has been a result of objec-

tive guidance (e.g., HATRACK and TYRACK, discussed in

sections B and C) and subjective reasoning JFWC/JTWC 1972J ,

the latter heavily influenced by climatology and extrapo-

lation [Denney 197lJ • However, to this date, the quality

of the objective techniques has not been statistically

evaluated for the area and, therefore, is of unknown value

as forecast guidance. The only forecast statistics pub-

lished are those of the subjectively-derived OFFICIAL

forecasts [fwC/JTWC 1

1971; 1972].

A. THE OFFICIAL FORECAST

The OFFICIAL forecast stems from a cooperative effort

between FWF, Alameda and the National Weather Service

Forecast Office, Redwood City, California. As indicated

above, the OFFICIAL forecast in the area is largely subjec-

tive; objective guidance is minimal at best.

The type and frequency of forecasts for the tropical

northeastern Pacific Ocean are much like those issued for

the North Atlantic Ocean area (See Fig. 2). Once the

cyclone has been designated as a depression, such fore-

casts are disseminated for the prime intervals 12, 24,

48, and 72 hours, initiated from synoptic-time (0000, 0600,

1200, and 1800GMT) positions.

11

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B. THE TYRACK SCHEME

The TYPHOON TRACKING (TYRACK) scheme was developed by

Fleet Weather Central (FWC), Pearl Harbor as a synoptic-

statistical approach to forecasting the movement of tropi-

cal cyclones. The scheme considers the cyclone center as

a point in a field of smoothed, objectively-analyzed,

observed winds. If no history on past movements is avail-

able or if the history position is dubious, the 700 mb

level is arbitrarily chosen as the best steering level.

The U and V components of the steering-level wind are

calculated at the cyclone center and the cyclone is steered

for three hours utilizing these components. At the end

of the three-hour interval, a new center position is

determined, the U and V components are computed and the

cyclone is steered for another three-hour interval. This

process is repeated to 48 hours and the 12, 24, 36 and 48

hour forecast positions are determined.

If history positions are available and are considered

accurate, the procedure is similar, but the steering level

is determined from prior movement . The best steering

level is selected by using the U and V components of the

wind at the present position to steer the cyclone center

back, 12 hours in time, for all six previously-determined

levels (i.e., 700 mb , 500 mb , 400 mb , 300 mb , (700+500)/2

and (700+500+400+300)/4) . The level whose winds move the

cyclone closest to the 12-hour history position is then

selected as the best steering level. As before, the center

12

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is steered in three-hour intervals to 48 hours and the 12,

24, 36 and 48 hour forecast positions calculated. TYRACK

forecasts, computer generated by FWF, Pearl Harbor, Hawaii,

were made available, at synoptic times, to the FWF, Alameda

forecaster during the 1971 tropical cyclone season.

Fig. 3 illustrates the information available in the

TYRACK forecast. In this example, the name of the cyclone

and the time from which all forecasts are made appear in

the heading. Hurricane Olivia has been steered from

1200GMT 27 September 1971. The column labeled LEVEL,

gives the steering level for the forecast. The POSIT

column indicates the forecast interval. The HISTORY posi-

tion always refers to the position of the cyclone 12 hours

prior to start time'. The LAT, LONG columns show the fore-

cast positions of the cyclone. Since, in this example,

the history position is given, the cyclone was steered

back in time and, as can be seen by the last set of fore-

casts, the 300 mb level steered the storm back closest

to the history position and therefore was chosen as the

best steering level for the forecast. If a history posi-

tion was not available, the cyclone would have been steered

by the 700 mb level winds.

C. THE HATRACK SCHEME

The HURRICANE AND TYPHOON TRACKING (HATRACK) forecast

scheme, developed cooperatively by the Naval Postgraduate

School (NPS) and Fleet Numerical Weather Central (FNWC),

Monterey, California, is based on the assumption that the

13

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geostrophic wind at some isobaric level above the cyclone

center, as derived from PNWC • s SR field, is a good measure

of the speed and direction of movement of the cyclone

center. The SR field is numerically computed by heavily

smoothing the height contours of a constant pressure sur-

face. The smoothing operation essentially removes the

short wave disturbances, including tropical cyclones, and

retains the long wave pattern. Thus, the center of the

cyclone is placed in the remaining long wave pattern and

the U and V components of the quasi geostrophic wind are

computed to steer the cyclone.

The HATRACK forecasts, computed by FNWC, Monterey,

each six hours, for forecast intervals to "X" hours (X=72

in 1970 and 84 in 1971) are processed at the request of

FWF, Alameda. An example of a HATRACK forecast for hur-

ricane Lorraine is given in Fig. 4. 1800GMT 19 August

1970 (18190870) is the initial time, 14.5N, 112. 8W repre-

sents the initial position and the forecast set extends

to 66 hours, equivalent to 12220870 (i.e., 1200GMT 22

August 1970). 12190870 gives the time and date of the

SR analysis and its associated prognoses which were uti-

lized to compute the quasi geostrophic steering components.

1000 mb represents the steering level. The maximum interval

of the forecast set is six hours less than "X" due to the

Quasi refers to the fact that the sine function isadjusted at low latitudes.

14

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six-hour time difference between the SR analysis and the

initial position.

During the 1970 season, intermittent HATRACK forecasts

to 72 hours were provided to FWF, Alameda, utilizing

fields at the three steering levels, 1000, 700, and 500 mb

.

In 1971 the intervals were extended to 84 hours and the

850 mb level was included. Renard (1968) and Renard,

Colgan, Daley and Rinard (1972) have reported on the results

of forecast experiments with this technique for the North

Atlantic Ocean area.

D. THE MODIFIED HATRACK SCHEME

It has been noted (Renard 1968) that HATRACK forecast

2paths and best tracks of North Atlantic Ocean cyclones

are similar in shape but the positions at coincident times

are out of phase. Since this bias is reasonably persistent

in time, a simple estimate of it has been used to correct

the Atlantic-area HATRACK forecasts, resulting in MODIFIED

HATRACK (MODHATR) forecasts which are more accurate than

the HATRACK forecasts. Specifically, the approach, as

developed, utilizes known six-and twelve-hour errors in

the HATRACK forecasts to correct the positions in the

remaining intervals, separately by latitudinal and longi-

tudinal components. The computed six-and twelve-hour

errors (E) are linearly extrapolated by the following

2Best track refers to the documentary position of the'opical cyclone centers.

15

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formula to generate MODHATR error forecasts to any inter-

val. At ; t represents time, in hours.3 n n

(Ea - E,)(t - 12)EAt

= EU + —S (1)n D

Thus, the estimated HATRACK forecast error at t hours is

the error at 12 hours plus ((t - 12) / 6J times thel_ n —

difference between the six-and twelve-hour HATRACK errors.

These estimated errors are then applied as corrections

to the HATRACK forecast positions to yield MODHATR forecast

position, F'12

n

Fi - 12 " F

t+ E

At •(2)

n n n

where F' ,?

is the MODHATR forecast position for a timen

12 hours less than t , and P. is the HATRACK forecastfc

nposition at t . Renard, Daley and Rinard (1970), Colgan

(1971) and Renard, Cclgan, Daley and Rinard (1972) describe

the MODHATR scheme in detail, including certain empirical

restrictions employed in its application.

This scheme has not been used operationally in the

northeastern Pacific Ocean area to this date. Most of

the developmental and operational testing has been confined

to the North Atlantic Ocean area but limited to the former

until 1971. The following chapter describes the testing

procedures applied to the 1970 and 1971 hurricanes of the

subject Pacific Ocean area.

16

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IV. TESTING PROCEDURES

The procedure for testing the accuracy of the MODHATR

forecast scheme may be outlined as follows. The mean

errors are calculated as a function of forecast interval

for the OFFICIAL, TYRACK, HATRACK and MODHATR forecast

schemes and by comparing objective schemes to OFFICIAL

forecasts, the merits of the objective schemes are

evaluated.

Since the examination of the two seasons was basically

the same, the procedure used in 1970 will be presented

and only departures from this procedure will be discussed

for the 1971 season'.

As stated in Chapter III, all tropical cyclone data

were provided by FWF, Alameda. The 1970 data comprised

3OFFICIAL forecasts including operational positions (Fig. 2),

TYRACK forecasts (Fig. 3), intermittent HATRACK forecasts

derived from steering at 1000, 700 and 500 mb levels

(Fig. 4) , and best tracks. The available data were exam-

ined and three tropical cyclones (Francesca, Lorraine

and Patricia) were selected for preliminary study. Only

the cyclones reaching hurricane intensity were selected

to enable examination of the objective schemes during all

stages of tropical cyclones.

3Operational positions are the best available real-time locations of the cyclones.

17

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The OFFICIAL (12, 24, 48, and 72 hour) forecasts were

verified against the best-track positions and error sta-

tistics were compiled for each forecast interval. The

HATRACK forecasts, begun from the operational positions,

were also verified against best-track positions for all

forecast intervals. The MODHATR forecasts were computed

for all available HATRACK forecast sets using both best-

track and operational positions for calculation of the

bias correction. The resulting forecast positions were

then verified against the best-track positions and the

error statistics compiled. For all schemes, the errors

are presented in nautical miles per hour, as a normalizing

approach to aid in comparing error statistics.

The testing pro-cedure for the 1971 season was the

same as that for the 1970 season, but the data were more

complete. During the 1971 season, the 850 mb steering

level was added to the data set. Extending the HATRACK

forecast sets to 84 hours allowed MODHATR forecasts to

be calculated to 72 hours.

The HATRACK data for all but two cyclones which reached

hurricane intensity (Agatha, Denise, Hilary, Ilsa, Lily,

Monica, Nanette, Olivia and Priscilla) were utilized.

Bridget and Francene were lost due to computer problems.

Also, positions equal to and less than 5N were omitted.

Computation of HATRACK forecast positions equal to and

less than 5N requires data from the Southern Hemisphere.

The HATRACK program was not designed for calculations on

18

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Southern Hemisphere grid' points and, therefore, erroneous

forecasts are generated. For this reason, the program

included an execution step to exclude such forecasts.

Further, starting positions of all HATRACK forecasts were

compared to the operational cyclone positions and any

forecasts which were generated from a position vectorially

more than one degree latitude from the operational position

were arbitrarily excluded.

The 1971 TYRACK (12, 24, 36, and 48 hour) forecasts

were verified against the best track positions and error

statistics were compiled.

The difference between the best-track and operational

positions for the 1970 and 1971 tracks was examined in an

attempt to correlate large forecast errors and large start-

ing errors. No relationship between these parameters could

be established.

19

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V. RESULTS AND ERROR ANALYSIS

The primary objectives of the study were to evaluate

the merits of the MODHATR scheme and report these results

to FWF, Alameda, for use as objective guidance in the 1972

hurricane season.

As stated in Chapter IV, the HATRACK forecast sets were

first modified by the best-track positions of the cyclones.

This procedure was carried out to establish the potentiali

accuracy of the MODHATR scheme. The potential accuracy may

be regarded as indicative of the optimum performance of

the scheme using the best possible positions to calculate

the bias corrections. But, since the best-track positions

are not compiled until after the completion of the season,

they cannot be used in operational real-time. Therefore,

to determine the current or actual accuracy, it was neces-

sary to calculate the bias corrections utilizing cyclone

positions that would have been available in operational

real-time. The following section discusses the MODIFIED

HATRACK errors, as a function of both modes of the bias

correction and in relation to OFFICIAL and TYRACK forecasts

A. RESULTS

The error statistics for the 1970 HATRACK forecasts,

compared with those for the OFFICIAL forecasts, are present-

ed in Fig. 5. The mean error, in nautical miles per hour

of forecast interval, is plotted against the forecast

20

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interval. It is readily seen that the guidance provided by

the HATRACK scheme is minimal. For example, the mean error

in the 12 hour OFFICIAL forecast is 5 . 8 kt or 69 . 6 n mi,

while on the average, the minimum HATRACK errors are

achieved utilizing 700 mb steering with a value of 6.2 kt

or 7^.^ n mi, with larger differences between the two

methods in the longer forecast intervals.

By comparing the mean errors, in each forecast interval,

between the OFFICIAL and objective forecasts and expressing

the result as an error ratio, the relative accuracy of

the two methods is established. If only those forecasts

which exhibit a one-to-one correspondence (i.e., equiva-

lent forecast intervals and valid at the same synoptic

time) are compared j a homogeneous sample results. A non-

homogeneous sample comprises all OFFICIAL forecasts and

all objective forecasts of the same forecast interval.

Figs. 6 and 7 show the results of the two comparisons be-

tween the OFFICIAL and HATRACK errors. It should be noted

that the error ratio is always less than one (i.e., OFFICIAL

always less than HATRACK mean errors) and decreases in

the longer forecast intervals .

)

Figure 8 illustrates the mean error results for MODHATR

(best-track) bias forecasts. As previously stated, use

of best-track bias establishes a potential accuracy which,

is greater than that of the OFFICIAL forecast through 48

hours when the optimum steering level (700 mb) is utilized.

Figs. 9 and 10 are similar to Figs. 6 and 7 excect that

21

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the MODHATR (best-track bias) results show that the poten-

tial accuracy of this scheme is greater than that of the

OFFICIAL forecasts for the 12 and 24 hour intervals. The

trend of decreasing accuracy in longer forecast intervals

remains

.

The best steering level for the objective schemes is

obvious from Figs. 6 through 10. The 700 mb steering

level gives the most accurate results in all cases.

The state-of-the-art accuracy was determined by pro-

ducing MODHATR forecasts utilizing operational positions

to calculate the bias. A comparison of the MODHATR (oper-

ational bias) forecasts to the best-track positions gives

a measure of its expected performance under operational

conditions. Since the previously stated results clearly

show that the 700 mb steering produced the most accurate

forecasts, MODHATR (operational bias) forecasts were cal-

culated only for HATRACK forecasts resulting from 700 mb

steering. The results of the mean error calculations

are shown in Fig. 11. It should be noted that not only

is the overall deterioration of the scheme evident but

that the deterioration is much more severe in the shorter

forecast intervals (i.e., less than 36 hours). It should

also be noted that the MODHATR (operational bias) forecasts

are overall better than those of the HATRACK scheme. The

error ratios of Figs. 12 and 13 show that the MODHATR

(operational bias) accuracy is inferior to that of OFFICIAL

whether the sample is homogeneous or non-homogeneous.

22

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The 1971 results are presented in Figs. 1*1 through 23

utilizing the 1970 format. Pig. 14 shows the HATRACK

errors for the 1971 cyclones. Comparison to Fig. 5 shows

extended forecast intervals, the addition of the 850 mb

steering level and overall similarity of patterns. The

extended forecast intervals were discussed in Chapter IV.

Figs. 15 and 16 give error ratios at all steering levels

for a homogeneous and non-homogeneous sample, respectively.

The similarities to Figs. 9 and 10 are evident but the

ratios are greater throughout, probably a result of favor-

able changes to the FNWC prognostic program. Fig. 17

illustrates the potential accuracy of MODHATR (i.e.,

best-track bias) utilizing the 1971 data. It is evident

that the 850 mb steering results are more accurate than

those for 700 mb . Comparison to Fig. 8 reveals that-

although the basic pattern of increasing error with increas-

ing forecast interval persists, the point at which the

850 MODHATR (best-track bias) forecasts become poorer

than OFFICIAL has been extended to 60 hours. This increased

accuracy is also reflected in the homogeneous and non-

homogeneous comparisons with OFFICIAL (shown in Figs. 18

and 19) by error-ratio values greater than one through

the 48 hour forecast intervals.

The operational performance of the MODHATR scheme was

determined as in 1970. The mean-error results are given

in Fig. 20 where they may be compared to the best-level

HATRACK errors. Comparison to Fie;. 11 shows that the two

23

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sets of results are of the same basic pattern, but again,

the 1971 MODHATR (operational bias) errors are closer to

the OFFICIAL errors especially in the longer forecast

intervals. The error ratios of Figs. 21 and 22 point out

that even though the 1971 MODHATR (operational bias)

results are better than the 1970 results, the OFFICIAL

forecasts are best at all intervals coevaluated.(

The error statistics for the TYRACK scheme were tabu-

lated in the same manner as those for the other objective

schemes. The TYRACK forecasts were divided into history

and no-history categories. These two forecast sets were

separated because of the known erratic nature of the initial

(operational) positions. It has been the experience of

FWC, Pearl Harbor, that the TYRACK scheme is extremely

sensitive to errors in the starting positions. This

sensitivity was documented when errors of the history fore-

casts were determined to be greater than those of the no-

history forecasts. The no-history errors (700 mb steering)

are presented in Fig. 23 where they are compared to both

the OFFICIAL and MODHATR (operational bias) in a homogene-

ous sample. Fig. 23 illustrates that both OFFICIAL and

MODHATR (operational bias) forecasts are superior to the

best TYRACK forecasts.

4Personal communication with Lt . Gray, FWC, Pearl

Harbor.

24

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B. ERROR ANALYSIS

Since the difference between the MODHATR (best-track

bias) and the MODHATR (operational bias) schemes is essen-

tially due to the positions utilized for bias determina-

tion, therein must lie the answers to the deterioration

of the scheme using operational, real-time data.

The most accurate location of a tropical cyclone is

provided by a reconnaissance aircraft observation. During

the 1970 season, reconnaissance responsibility was shared

by the U.S. Navy and the U.S. Air Force, resulting in one

near-synoptic time observation per day. 1971 saw the

U.S. Air Force assume full responsibility for fixing

cyclone positions. In both years, the operational schedule

called for a daily, 1800GMT, reconnaissance of northeastern

Pacific tropical cyclones, commencing upon designation of

the system as a tropical depression. A review of the

annual end-of-the-season report shows that in a great

majority of the cases, these reconnaissance positions were

accepted as both the operational and best track positions

of the cyclones

.

Figure 24 illustrates the best track and the operational

track of hurricane Lorraine, 1970. An examination of

these tracks points out both the erratic nature of the

operational track and the heavy reliance on reconnaissance

positions. This reliance produces large cyclic discontinu-

ities in the operational track which are the result of

relocating the 1800GMT cyclone position to agree with the

25

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latest fix. In Fig. 24, two obvious relocations are evident

at 1800GMT on 19 and 25 August 1970.

The initial or start time of a HATRACK forecast set is

that time from which the forecasts are generated. The

MODHATR (operational bias) forecasts were grouped by these

associated initial times in an attempt to establish the

effect of the track discontinuity between 1200 and 1800GMT.

Table 3 gives the mean error (in n mi) as a function of

start times. In any forecast interval, a comparison of the

mean errors enables an accuracy ranking of the initial

times, i.e., from most to least accurate. The results of

this procedure are illustrated in Table 4. It is readily

seen that from the 1970 data, the 1800GMT start time emerges

as the optimum time with 1200GMT as second best. In 1971,

the 1200GMT initial times are best with 1800GMT a close

second. Therefore, MODHATR forecasts derived from HATRACK

forecasts initialized at 1200 or 1800GMT were selected

as optimum.

It is believed that the poor performance of the 0000GMT

starting time is attributable to the modifying (operational)

positions being furthest removed in time, (i.e., 12 and 18

hours) from the last aircraft fix. The poor performance

of the 0600GMT initial time is illustrated in Fig. 25.

The apparent large, southwesterly movement of the cyclone

between the first (1200GMT) and second (1800GMT) modifying

positions is utilized by the computer to calculate the

bj.as correction. Since the motion is spurious from

26

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1200-1800GMT, being mostly due to relocation at 1800GMT,

the correction is of a similar nature and the resulting

MODHATR forecast, in this case, is worse than HATRACK.

The forecast generated from best-track bias is shown for

comparison. A small number of such situations have a disas-

terous effect on the forecasts initialized at 0600GMT.

The optimum set of forecasts, those having 1200 and

1800GMT start times, were then compared to the OFFICIAL

forecasts. The results for the 1970 data are shown in

Fig. 26. It should be noted that the mean error of the

MODHATR (operational bias) has been decreased but the

OFFICIAL forecast remains superior at all forecast intervals

Fig. 27 shows results for the 1971 data. The MODHATR

(operational bias) mean errors are less than or equal to

the OFFICIAL errors for forecast intervals through 24 hours.

The 1971 result is regarded as more significant due to

number of forecasts and the prognostic model in use at FNWC

.

27

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VI. CONCLUSIONS

The following conclusions were drawn from this study:

1. The MODHATR forecast scheme is most accurate when

using 850 mb in preference to 1000, 700, or 500 mb

steering.

2. In general, the MODHATR (operational bias) scheme

using 850 mb steering, produces forecasts only

slightly inferior to OFFICIAL forecasts. For those

MODHATR forecasts derived from steering initiated

at 1200 and 1800GMT, the accuracy is equivalent to

or superior, to the OFFICIAL forecasts through 2k

hours in the 1971 sample.

3. The MODHATR skill excels that of TYRACK and thus

the former is the best objective scheme available.

h. The major error inherent in MODHATR (operational

bias) forecasts originates from the error in opera-

tional positions of the tropical cyclone.

5. Further study in the areas of level selection and

adjustment of the empirical limits is indicated.

28

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TOTAL NUMBEROF WARNINGS

CALENDAR DAYSOF WARNINGS

TROPICALDEPRESSIONS

TROPICALSTORMS

HURRICANES

1967

119

2

12

6

1968

531

126

13

1969

219

67

1970

350

98

15

1971

410

89

11

TOTAL 20 25 15 21 22

TABLE 1 A tabulation of the tropical cyclone activityin the northeastern tropical Pacific Ocean, 1967-71(fwc/jtwc 1971]

PORTS

CALIFORNIA-CANAL ZONE

CANAL ZONE-JAPAN, KOREA, TAIWAN, OKINAWA

CANAL ZONE-SOUTH CHINA SEA

CANAL ZONE-GUAM

CANAL ZONE-HAWAII

SUB-TOTALS

TOTAL

EASTBOUND WESTBOUND

30 16

108 32

132 210

9 10

10 28

289 296

585

TABLE 2 A tabulation of the number of ships, either Navyor Naval contract vessels, transiting the north-eastern tropical Pacific Ocean during 1970.

29

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FORECASTTMTPRViT AMf) .

0000GMT 0600GMT 1200GMT 1800GMT

SAMPLE TYPE 1970 1971 1970 1971 1970 1971 1970 1971

12 HOUR

HOMOGENEOUS70.4 95.9 75.7 84.7 64.9 62.6 72.9 86.7

12 HOURNON-

HOMOGENEOUS72.0 91.4 85.5 88.4 64.9 65.6 72.9 84.0

24 HOUR

HOMOGENEOUS138.9 144.9 154.2 158.5 119.2 110.2 118.4 131.0

24 HOURNON-

HOMOGENEOUS138.9 141.1 154.2 158.5 119.2 109.6 118.4 126.4

48 HOUR

HOMOGENEOUS240.2 • 248.8 251.9 234.6 232.8 216.4 199.8 254.6

48 HOURNON-

HOMOGENEOUS240.7 236.9 251.9 231.3 232.8 213.9 199.8 242.5

72 HOUR

HOMOGENEOUS390.6 389.8 407.1 420.4

72 HOURNON-

HOMOGENEOUS405.4 396.2 385.0 393.6

TABLE 3 The mean error (n mi) in MODHATR as a function ofinitial times for those forecast intervals commonto OFFICIAL and MODHATR.

30

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ACCURACY 1970NUMBER OFOCCURRENCES 1971

NUMBER OFOCCURRENCES

LEAST MEANERROR IN

ANY FORECASTINTERVAL

0000GMT 0000GMT

0600GMT 0600GMT

1200GMT 1 1200GMT 4

1800GMT 2 1800GMT

SECOND BESTFORECAST IN

ANY FORECASTINTERVAL

0000GMT 1 OOOOGMT

0600GMT 0600GMT 1

1200GMT 2 1200GMT

1800GMT 1800GMT 3

THIRD BESTFORECAST IN

ANY FORECASTINTERVAL

0000GMT 2 OOOOGMT 2

0600GMT 0600GMT 2

1200GMT 1200GMT

1800GMT 1 1800GMT

LARGEST MEANERROR IN ANY

FORECASTINTERVAL

0C00GMT OOOOGMT 2

0600GMT 3 0600GMT 1

1200GMT 1200GMT

1800GMT 1800GMT 1

TABLE 4 Accuracy of MODHATR (operational bias) forecastsas a function of initial time (see Table 3). Fore-casts of 12, 24, and 48 hours are considered in the1970 sample; forecasts of 12, 24, 48 and 72 'areranked in the 1971 sample.

31

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.—^-rjr

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32

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07145OZ JUL 71FM FLEWEACEN ALAMEDATO AlG ONE THREE ONEINFO RUWJMUA/FLEWEAFAC SDIEGORBDIDW/CINC WESTERN FLEET WEATHER CENTRE, NORTHWOOD ENGLANDruwTawa/carswell ADWSBTUHCLASVH?A KNGZ 0712COZHURRICANE DEMISE WARNING 12

POSITION NEAR 13PTCN !19PTGW AT 071200ZPOSITION ACCURATE WITHIN 73 MILES BASED ON EXTRAPOLATIONPRESENT MOVEMENT TOWARDS THE WEST OR 270 DEGREES AT 10 KNOTS.PRESENT WIND DISTRIBUTION:MAXIMUM SUSTAINED WINDS 7P KTS NEAR CENTERRADIUS OF 53 KT WINDS 40 MILESRADIUS OF 3ff KT WINDS 100 MILESREPEAT POSITION NEAR 13PT0M 119PT6W AT 07I200ZFORECASTS:12 HOURS VALID C3I3003Z 12PTSN I21PTSW MAX WINDS 7!3 KTS?A HOURS VALID B81200Z I2PT6N 123PT6W MAX WINDS 70 KTSEXTENDED OUTLOOK:48 HOURS VALID 09 1200Z 12PT2N 127PT5V MAX WINDS 53 KTS72 HOURS VALID 101200Z 11PT8N 131PT3W MAX WINDS 35 KTSRECON FLIGHT REQUESTED FOR 071S0CZNEXT WARNING AT 072100ZBT05 79

Figure 2 Hurricane warning and OFFICIAL forecast for Denise,initiated from 13. ON 119-6W at 1200GMT 07 July 1971.

33

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P 271755Z SEP 71

FM FLEWEACEN PEAPL

TO RUWMH.A/FLEWEAOEN ALAMEDA

BT

UNCLAS //N03 145//

TYRACK FDR KRRICA^ OLIVIA ROM 27120CZ

LEVEL posit LAT LON3

HISTORY 19 .9 N 110.2V

700 21.0N 111.0W

700 12 24. 0N 1 13 ,6W

700 24 2S.7N 114.9V

1W 36 30.9H 113.7U700 48 37.4N 109.?/'

LEVEL POSIT LAT LOK3HISTORY 19 .9 M 110.2V

500 21.ON 111.0W500 12 23. IK 112.7V

500 24 25.4N 113.4VS03 35 23.9 N U1.7W500 48 34.oN 106. "N

LEVEL RJSIT L^T LO^GUIST03Y 19.9K 110.2V

40£ 21.0N 1 1 1 .OW

400 12 22.7* 1 12 .3V

400 24 24.8N 112.61;

400 36 28.0 K ui.ew430 <*S 32.9 N L0S.2WLEVEL POSIT LAT LO'G

WISKRY 19.9:; 110.2',

300 fK ?i.:n 1 1 1 ,ew

3*3 12 22.2N IU.5W300 24 23.8'i 1 1 1 .2V

300- 35 2r>.7t\' K: 9.9VJ

300 4£ 27..SN 10 7.3V

LEVEL POSIT LAT LO:GHISTORY B.9N IIC.2W

AV3 1fl 21.CN 1 1 1 .01'/

AVG 1 12 23. 5N U3.1WAVG1 24 26.ON lu.ewAVG 1 35 30. IN I12.2W

AVGl 43 35. 6N 107.2W

LEVEL POSIT LAT LOfGWISTOPY 1S.9H 1IC.2W

AVG2 ?, 21.3N 111.0VAVG2 12 22 .9 N 112.5W

AVG2 24 25.3 N 112 .9W

AVG 2 36 29. IN US5.8WAVG 2 48 34. 4N 105.5V

TYRACK SELECTS 3"10 AS BEST STEER ING

LEVEL POSIT LAT lcjsHISTOTY 19 .9N 110.2V

3Ca U 21.3N 1 1 1 .0V300 12 22 .2 M 111.5V300 24 23.8N 1 1 1 .2V300 36 25. 7N 109.9V3^0 48 27.5N 107.3V

LEVEL

Figure 3 Sample TYRACK forecast for hurricane Olivia, ini-tiated from 21. ON, 111.0 W at 1200GMT 27 September1971.

3^

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FM FNWF IONTEREv

TO FWC ALAMFiM

TROPICAL CY'CLONF STEERING

EXPERIMENTAL PROG

A09 LORR

ANAL TIME l?l'->0870

LFVFL lnOO MBS

18190870 U5w 1128W 2909

00200870 U6N U39* 2709

06200870 146m HblW 2611

12200870 U4m ll63wl 2613

18200870 Ult U77W ^S13

00210870 1 36" 1 191

4

2413

06210870 129M 12044 2413

12210870 122" 1216W 2111

18210870 1 14-r l22Sw 2311

00220870 106r l233w ??09

06220870 097m 1239W 2109

12220870 <)f*K^ 1242W L908

Figure 4 Sample HATRACK forecast for hurricane Lorraine,initiated from 14.5N, 112. 8W at 1800GMT 19 August1970.

35

Page 74: Forecasting the motion of northeastern Pacific tropical cyclones. · 2016-06-02 · 21.SameasFig.12,exceptfor1971data 51 22.SameasFig.13,exceptfor1971data 51 23.TYRACKvsOFFICIAL;TYRACKvsMODHATR(operational
Page 75: Forecasting the motion of northeastern Pacific tropical cyclones. · 2016-06-02 · 21.SameasFig.12,exceptfor1971data 51 22.SameasFig.13,exceptfor1971data 51 23.TYRACKvsOFFICIAL;TYRACKvsMODHATR(operational

12

11

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9

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o o o ° o o o

a B A7 A A A A6

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2 No . o f Cases

HAT(Ave) 40 34 161 OFCL 44

7B- Fo7

25

»7? FORECAST

> i <-.

INTERVAL (hours)i i i i . * j i i i

o

A

12 24 36

1000 mb steering

48 60 72

X -

700 mb steering

500 mb steering

OFFICIAL

HATRACK

84

Figure 5 The mean errors of HATRACK and OFFICIAL, as a

function of forecast interval for 1970 hurri-canes Francesca, Lorraine and Patricia.

36

Page 76: Forecasting the motion of northeastern Pacific tropical cyclones. · 2016-06-02 · 21.SameasFig.12,exceptfor1971data 51 22.SameasFig.13,exceptfor1971data 51 23.TYRACKvsOFFICIAL;TYRACKvsMODHATR(operational
Page 77: Forecasting the motion of northeastern Pacific tropical cyclones. · 2016-06-02 · 21.SameasFig.12,exceptfor1971data 51 22.SameasFig.13,exceptfor1971data 51 23.TYRACKvsOFFICIAL;TYRACKvsMODHATR(operational

2.5r^cch<k

2.0<o No. of CasesH

1.5

o 41 40 32 15

1.0O< 1—

|

at VH a.5

at

-Oatctat

ff ii r

o oFORECAST INTERVAL (hrs)

12 24 36 48 60 72 84- OFFICIAL/ 1000 mb steering

- OFFICIAL/ 700 mb steering

A - OFFICIAL/ 500 mb steering

Figure 6 The ratio of OFFICIAL/HATRACK forecast errors,for a homogeneous sample, as a function offorecast interval, for 1970 hurricanes Francesca,Lorraine and Patricia.

37

Page 78: Forecasting the motion of northeastern Pacific tropical cyclones. · 2016-06-02 · 21.SameasFig.12,exceptfor1971data 51 22.SameasFig.13,exceptfor1971data 51 23.TYRACKvsOFFICIAL;TYRACKvsMODHATR(operational
Page 79: Forecasting the motion of northeastern Pacific tropical cyclones. · 2016-06-02 · 21.SameasFig.12,exceptfor1971data 51 22.SameasFig.13,exceptfor1971data 51 23.TYRACKvsOFFICIAL;TYRACKvsMODHATR(operational

2.5rS

2.0-

1.5

1.0

.5

<EH<W No. of Cases

<

m HAT 44 40 34 16

£ OFCL 7^ 78" 58" 25o

<aOor

"g a

AFORECAST INTERVAL (hrs)

o o

12 24 36 48 60 72 84

- OFFICIAL/ 1000 mb steering

(T] - OFFICIAL/ 700 mb steering

A - OFFICIAL/ 500 mb steering

Figure 7 The ratio of OFFICIAL/HATRACK forecast errors,for a non-homogeneous sample, as a functionof forecast interval, for 1970 hurricanesFrancesca, Lorraine and Patricia.

38

Page 80: Forecasting the motion of northeastern Pacific tropical cyclones. · 2016-06-02 · 21.SameasFig.12,exceptfor1971data 51 22.SameasFig.13,exceptfor1971data 51 23.TYRACKvsOFFICIAL;TYRACKvsMODHATR(operational
Page 81: Forecasting the motion of northeastern Pacific tropical cyclones. · 2016-06-02 · 21.SameasFig.12,exceptfor1971data 51 22.SameasFig.13,exceptfor1971data 51 23.TYRACKvsOFFICIAL;TYRACKvsMODHATR(operational

i2r

11

10

9

8f

7

6

5

4

3

2

O

4

A A ^ °9

D Bx o

I a f - ™ Q

No. of Cases

MODH(Ave) Iff IS" oETr^CL HO ^ 55 25

TIT FORECAST INTERVAL (hours)

12 24 36 48 60 72 84

© - 1000 mb steering

- 700 mb steering

/\ - 500 mb steering

* - OFFICIAL

Figure 8 The mean errors of MODHATR (best-track bias)and OFFICIAL, as a function of forecast inter-val, for 1970 hurricanes Francesca, Lorraineand Patricia.

39

Page 82: Forecasting the motion of northeastern Pacific tropical cyclones. · 2016-06-02 · 21.SameasFig.12,exceptfor1971data 51 22.SameasFig.13,exceptfor1971data 51 23.TYRACKvsOFFICIAL;TYRACKvsMODHATR(operational
Page 83: Forecasting the motion of northeastern Pacific tropical cyclones. · 2016-06-02 · 21.SameasFig.12,exceptfor1971data 51 22.SameasFig.13,exceptfor1971data 51 23.TYRACKvsOFFICIAL;TYRACKvsMODHATR(operational

2.5

2.0

1.5

1.0

r Eh<KQO

.-3

<MOM

O A &

as.

• 2 No. of Casesex

"0"

37 36 28

FORECAST INTERVAL (hn)

12 24 36 48 60 72 84Q - OFFICIAL/1000 mb MODHATR

- OFFICIAL/ 700 mb MODHATR

A - OFFICIAL/ 500 mb MODHATR

Figure 9 The ratio of OFFICIAL/MODHATR (best-track bias)forecast errors, for a homogeneous sample, as afunction of forecast interval, for 1970 hurri-canes Francesca, Lorraine and Patricia.

40

Page 84: Forecasting the motion of northeastern Pacific tropical cyclones. · 2016-06-02 · 21.SameasFig.12,exceptfor1971data 51 22.SameasFig.13,exceptfor1971data 51 23.TYRACKvsOFFICIAL;TYRACKvsMODHATR(operational
Page 85: Forecasting the motion of northeastern Pacific tropical cyclones. · 2016-06-02 · 21.SameasFig.12,exceptfor1971data 51 22.SameasFig.13,exceptfor1971data 51 23.TYRACKvsOFFICIAL;TYRACKvsMODHATR(operational

2.5r<wQO

2.0

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§

1.5o A fi

1.0O

ED"<«

.5

at

-ONo. of Cases

MODH(Ave) 36 30IAJ OFCL i|0 7S 5F 25

7T FORECAST INTERVAL (hrs)

12 24 36 48 60 72 84Q - OFFICIAL/1000 mb steering

Q - OFFICIAL/ 700 mb steering

A - OFFICIAL/ 500 mb steering

Figure 10 The ratio of OFFICIAL/MODHATR (best-track bias)forecast errors for a non-homogeneous sample

,

as a function of forecast interval, for 1970hurricanes Francesca, Lorraine and Patricia.

41

Page 86: Forecasting the motion of northeastern Pacific tropical cyclones. · 2016-06-02 · 21.SameasFig.12,exceptfor1971data 51 22.SameasFig.13,exceptfor1971data 51 23.TYRACKvsOFFICIAL;TYRACKvsMODHATR(operational
Page 87: Forecasting the motion of northeastern Pacific tropical cyclones. · 2016-06-02 · 21.SameasFig.12,exceptfor1971data 51 22.SameasFig.13,exceptfor1971data 51 23.TYRACKvsOFFICIAL;TYRACKvsMODHATR(operational

12r

11 -

10

9

84-

7

6

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3

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1

x id m

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os

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Of

Q D D

. HAT 47 42 36 17MQDH ^2" 3$ 32OFCL 7^73" 5B" 25

FORECAST INTERVAL (hours)» » i i i i i i i i ..i i

12 24 36 48 60 72 84" - HATRACK 700 mb steeringG - M0DHATR (operational bias) 700 mb steeringX - OFFICIAL

Figure 11 The mean errors of HATRACK (700 mb steering),M0DHATR (700 mb steering) and OFFICIAL fore-casts, as a function of forecast interval,for 1970 hurricane sample.

42

Page 88: Forecasting the motion of northeastern Pacific tropical cyclones. · 2016-06-02 · 21.SameasFig.12,exceptfor1971data 51 22.SameasFig.13,exceptfor1971data 51 23.TYRACKvsOFFICIAL;TYRACKvsMODHATR(operational
Page 89: Forecasting the motion of northeastern Pacific tropical cyclones. · 2016-06-02 · 21.SameasFig.12,exceptfor1971data 51 22.SameasFig.13,exceptfor1971data 51 23.TYRACKvsOFFICIAL;TYRACKvsMODHATR(operational

2.5 r

2.0

1.5

1.0

.5

8

oH

Io.

<mNo. of Cases

UJ 39 38 30

FORECAST INTERVAL (hn)

12 24 36 48 60 72 84

Q] - OFFICIAL/MODHATR Best Level (700 mb ) steering

Figure 12 The ratio of OFFICIAL/MODHATR (operationalbias) forecast errors, for a homogeneous sample,

as a function of forecast interval, for 1970hurricanes

.

2.5

2.01-8

1.5

1.0

oH

o

O

2 Q HI g No. of Cases

g MODH 42 38 32M 0FCL 7^" 78"' 5B"

FORECAST INTERVAL [hrs]

12 24 36 48 60 72 84

- OFFICIAL/MODHATR Best Level (700 mb ) steering

Figure 13 Similar to Fig. 12 except for a non-homogeneouss ar.r 1 e .

43

Page 90: Forecasting the motion of northeastern Pacific tropical cyclones. · 2016-06-02 · 21.SameasFig.12,exceptfor1971data 51 22.SameasFig.13,exceptfor1971data 51 23.TYRACKvsOFFICIAL;TYRACKvsMODHATR(operational
Page 91: Forecasting the motion of northeastern Pacific tropical cyclones. · 2016-06-02 · 21.SameasFig.12,exceptfor1971data 51 22.SameasFig.13,exceptfor1971data 51 23.TYRACKvsOFFICIAL;TYRACKvsMODHATR(operational

12 r

11

10

9

8

7

6

5

4

A

S Ao A

a aaaa A aa £̂ ©

XQ?0000©00©_

Ec

Oec«

No. of Cases

HAT(Ave) 184 1^8 115-OFCL 201 173 115" 52

iyi FORECAST INTERVAL (hours)

12 24 36 48 60 72 84

- 1000 mb steering

/7\- 850 mb steering

[TJ - 700 mb steering

A - 500 mb steering

X - OFFICIAL

Figure 14 The mean errors of HATRACK and OFFICIAL, as

a function of forecast interval, for 1971hurricanes Agatha, Denis e, Hilary, Ilsa,

Lily, Monica, Nanette, Olivia and Priscilla.

Page 92: Forecasting the motion of northeastern Pacific tropical cyclones. · 2016-06-02 · 21.SameasFig.12,exceptfor1971data 51 22.SameasFig.13,exceptfor1971data 51 23.TYRACKvsOFFICIAL;TYRACKvsMODHATR(operational
Page 93: Forecasting the motion of northeastern Pacific tropical cyclones. · 2016-06-02 · 21.SameasFig.12,exceptfor1971data 51 22.SameasFig.13,exceptfor1971data 51 23.TYRACKvsOFFICIAL;TYRACKvsMODHATR(operational

2.5

2.0

1.5

r o<Eh<\<HOM

O

No. of Cases

175 164 112 51

1.0

.5

<

Loat

©

FORECAST INTERVAL (hrs)

o-

A*

12 24 36 48OFFICIAL/1000 mb steering

OFFICIAL/ 850 mb steering

OFFICIAL/ 700 mb steering

OFFICIAL/ 500 mb steering

60 72 84

Figure 15 The ratio of OFFICIAL/HATRACK forecast errors,for a homogeneous sample, as a function offorecast interval, for 1971 hurricanes Agatha,Denise, Hilary, Ilsa, Lily, Monica, Nanette,Olivia and Priscilla.

45

Page 94: Forecasting the motion of northeastern Pacific tropical cyclones. · 2016-06-02 · 21.SameasFig.12,exceptfor1971data 51 22.SameasFig.13,exceptfor1971data 51 23.TYRACKvsOFFICIAL;TYRACKvsMODHATR(operational
Page 95: Forecasting the motion of northeastern Pacific tropical cyclones. · 2016-06-02 · 21.SameasFig.12,exceptfor1971data 51 22.SameasFig.13,exceptfor1971data 51 23.TYRACKvsOFFICIAL;TYRACKvsMODHATR(operational

2.5 r ^><

<2.0

< No. of C ases

1.5. MHATfeOFCLo

201181

184173

148116

11552

1.0O5at <s> B ©

.5 -Oocft!Ill

^^

&

FORECAST INTERVAL (hrs)

12 24 36 480- OFFICIAL/1000 mb steering

Q- OFFICIAL/ 850 mb steering

0- OFFICIAL/ 700 mb steering

A- OFFICIAL/ 500 mb steering

60 72 04

Figure 16 The ratio of OFFICIAL/HATRACK forecast errors,for a non-homogeneous sample, as a function offorecast interval, for the 1971 hurricanesAgatha, Denise, Hilary, Ilsa, Lily, Monica,Nanette, Olivia and Priscilla.

46

Page 96: Forecasting the motion of northeastern Pacific tropical cyclones. · 2016-06-02 · 21.SameasFig.12,exceptfor1971data 51 22.SameasFig.13,exceptfor1971data 51 23.TYRACKvsOFFICIAL;TYRACKvsMODHATR(operational
Page 97: Forecasting the motion of northeastern Pacific tropical cyclones. · 2016-06-02 · 21.SameasFig.12,exceptfor1971data 51 22.SameasFig.13,exceptfor1971data 51 23.TYRACKvsOFFICIAL;TYRACKvsMODHATR(operational

i2r

11

10

9

84-

Ee

ae

Or- «

No. of Cases

MODH(Ave)OFCL 183

IBT

4 & AX

oA A

165173

131lTF

9952

FORECAST INTERVAL (hours)

12 24 36 48 60 72

o

Ax -

1000 mb steering

850 mb steering

700 mb steering

500 mb steeringOFFICIAL

84

Figure 17 The mean errors of MODHATR (best-track bias)and OFFICIAL, as a function of forecastinterval, for 1971 hurricanes Agatha, Denise,Hilary, Ilsa, Lily, Monica, Nanette, Oliviaand Priscilla.

^7

Page 98: Forecasting the motion of northeastern Pacific tropical cyclones. · 2016-06-02 · 21.SameasFig.12,exceptfor1971data 51 22.SameasFig.13,exceptfor1971data 51 23.TYRACKvsOFFICIAL;TYRACKvsMODHATR(operational
Page 99: Forecasting the motion of northeastern Pacific tropical cyclones. · 2016-06-02 · 21.SameasFig.12,exceptfor1971data 51 22.SameasFig.13,exceptfor1971data 51 23.TYRACKvsOFFICIAL;TYRACKvsMODHATR(operational

2.5

2.0

1.5

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<MOH

O

<No. of Cases

O

g 162 145 102 44

FORECAST INTERVAL (hrs)

~ 12 , 24 u 36 .48 60 72 84O - OFFICIAL/1000 mb steering

O- OFFICIAL/ 850 mb steering

- OFFICIAL/ 700 mb steering

A- OFFICIAL/ 500 mb steering

Figure 18 The ratio of 0FFICIAL/M0DHATR (best> track bias)

forecast errors, for a homogeneous sample, as

a function of forecast interval, for 1971 hur-

ricanes Agatha, Denise, Hilary, Ilsa, Lily,

Monica, Nanette, Olivia and Priscilla.

48

Page 100: Forecasting the motion of northeastern Pacific tropical cyclones. · 2016-06-02 · 21.SameasFig.12,exceptfor1971data 51 22.SameasFig.13,exceptfor1971data 51 23.TYRACKvsOFFICIAL;TYRACKvsMODHATR(operational
Page 101: Forecasting the motion of northeastern Pacific tropical cyclones. · 2016-06-02 · 21.SameasFig.12,exceptfor1971data 51 22.SameasFig.13,exceptfor1971data 51 23.TYRACKvsOFFICIAL;TYRACKvsMODHATR(operational

2.5

2.0

r Eh<XQO

i-3

1.5-

1.0

oM

O

ac No. of Cases

O MODH(Ave) 165 131

2 OPCLl83 173 Ho"

I5T FORECAST INTERVAL (hrt)

12 24 36 48 60 72 84

© - OFFICIAL/1000 mb steering

/7\ - OFFICIAL/ 850 mb steering

Q] - OFFICIAL/ 700 mb steering

a _ OFFICIAL/ 500 mb steering

Figure 19 The ratio of OFFICIAL/MODHATR (best-track bias)forecast errors, for a non-homogeneous sample,as a function of forecast interval, for 1971hurricanes Agatha, Denise, Hilary, Ilsa, Lily,Monica, Nanette, Olivia and Priscilla.

49

Page 102: Forecasting the motion of northeastern Pacific tropical cyclones. · 2016-06-02 · 21.SameasFig.12,exceptfor1971data 51 22.SameasFig.13,exceptfor1971data 51 23.TYRACKvsOFFICIAL;TYRACKvsMODHATR(operational
Page 103: Forecasting the motion of northeastern Pacific tropical cyclones. · 2016-06-02 · 21.SameasFig.12,exceptfor1971data 51 22.SameasFig.13,exceptfor1971data 51 23.TYRACKvsOFFICIAL;TYRACKvsMODHATR(operational

12f-

11

10k

9 -

8-

O .

X

V O OO Q0OO°as

Oh at* No. of Cases

-M0DH 191 163 129 100

HAT~ 202 151 159 112.

OFCL I8T 173 116 52

FORECAST INTERVAL (hours)till I I I l_12 24 36 48 60 72 84

O- M0DHATR (operational bias) 850 mb steering

X - OFFICIAL• - HATRACK 850 mb steering

Figure 20 The mean errors of MODHATR (operational bias),

HATRACK and OFFICIAL forecasts for the 1971

hurricane sample.

50

Page 104: Forecasting the motion of northeastern Pacific tropical cyclones. · 2016-06-02 · 21.SameasFig.12,exceptfor1971data 51 22.SameasFig.13,exceptfor1971data 51 23.TYRACKvsOFFICIAL;TYRACKvsMODHATR(operational
Page 105: Forecasting the motion of northeastern Pacific tropical cyclones. · 2016-06-02 · 21.SameasFig.12,exceptfor1971data 51 22.SameasFig.13,exceptfor1971data 51 23.TYRACKvsOFFICIAL;TYRACKvsMODHATR(operational

2.5 r

2.0

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§

o- M

5

^ No. of Cases

"G

-Og 160 lM 101 15Ul

FORECAST INTERVAL (hrs)

12 24 36 48 60 72 84

(7y - OFFICIAL/MODHATR Best Level (850 mb ) steering

Figure 21 The ratio of OFFICIAL/MODHATR (operational bias)forecast errors, for a homogeneous sample, as afunction of forecast interval, for 1971 hurri-canes .

J..13

I2.0

Q• O

1.5o

- M

11.0 -%-—®"""0-

ej No. of Cases

^ -Q-

.5 -Og M0DH 191 163 129 100111 0FCL 181 173 116 52

FORECAST INTERVAL (hrs)

12 24 36 48 60 72 84

- OFFICIAL/MODHATR Best Level (850 mb ) steering

Figure 22 Similar tc Fig. 21 except for a non-homogeneoussample

.

51

Page 106: Forecasting the motion of northeastern Pacific tropical cyclones. · 2016-06-02 · 21.SameasFig.12,exceptfor1971data 51 22.SameasFig.13,exceptfor1971data 51 23.TYRACKvsOFFICIAL;TYRACKvsMODHATR(operational
Page 107: Forecasting the motion of northeastern Pacific tropical cyclones. · 2016-06-02 · 21.SameasFig.12,exceptfor1971data 51 22.SameasFig.13,exceptfor1971data 51 23.TYRACKvsOFFICIAL;TYRACKvsMODHATR(operational

2.5 r «o M< OPC <>h (XEh >h\Ehi-3 N.< QCH EhO <H ffi

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FORECAST INTERVAL (hrt)

12 24 36 48 60 72 84V - OFFICIAL/TYRACK (700 mb no-history)

<2) - MODHATR (operational bias)/TYRACK (700 mb no-history)

Figure 23 The ratio of OFFICIAL/TYRACK and MODHATR (opera-tional bias)/TYRACK errors as a function offorecast interval for a homogeneous sample ofthe 1971 hurricanes.

52

Page 108: Forecasting the motion of northeastern Pacific tropical cyclones. · 2016-06-02 · 21.SameasFig.12,exceptfor1971data 51 22.SameasFig.13,exceptfor1971data 51 23.TYRACKvsOFFICIAL;TYRACKvsMODHATR(operational
Page 109: Forecasting the motion of northeastern Pacific tropical cyclones. · 2016-06-02 · 21.SameasFig.12,exceptfor1971data 51 22.SameasFig.13,exceptfor1971data 51 23.TYRACKvsOFFICIAL;TYRACKvsMODHATR(operational

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Page 111: Forecasting the motion of northeastern Pacific tropical cyclones. · 2016-06-02 · 21.SameasFig.12,exceptfor1971data 51 22.SameasFig.13,exceptfor1971data 51 23.TYRACKvsOFFICIAL;TYRACKvsMODHATR(operational

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Page 112: Forecasting the motion of northeastern Pacific tropical cyclones. · 2016-06-02 · 21.SameasFig.12,exceptfor1971data 51 22.SameasFig.13,exceptfor1971data 51 23.TYRACKvsOFFICIAL;TYRACKvsMODHATR(operational
Page 113: Forecasting the motion of northeastern Pacific tropical cyclones. · 2016-06-02 · 21.SameasFig.12,exceptfor1971data 51 22.SameasFig.13,exceptfor1971data 51 23.TYRACKvsOFFICIAL;TYRACKvsMODHATR(operational

12p

11 -

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E

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FORECAST INTERVAL (hours)i i i i i i i

12 24 36 48 60 72 84

xV - MODHATR (operational bias) forecasts for 850 mbsteering, from 1200 and 1800GMT initial HATRACKtimes, verifying at same time as OFFICIAL: shownas X.

X - OFFICIAL forecasts, verifying at same time as

MODHATR: shown as ^f, from 1200 and 1800GMT-h All MODHATR (operational bias) forecasts based on

850 mb steering• - All OFFICIAL forecasts

Figure 26 OFFICIAL and MODHATR (operational bias) fore-cast errors, 1970.

55

Page 114: Forecasting the motion of northeastern Pacific tropical cyclones. · 2016-06-02 · 21.SameasFig.12,exceptfor1971data 51 22.SameasFig.13,exceptfor1971data 51 23.TYRACKvsOFFICIAL;TYRACKvsMODHATR(operational
Page 115: Forecasting the motion of northeastern Pacific tropical cyclones. · 2016-06-02 · 21.SameasFig.12,exceptfor1971data 51 22.SameasFig.13,exceptfor1971data 51 23.TYRACKvsOFFICIAL;TYRACKvsMODHATR(operational

12

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FORECAST INTERVAL (hours)» i 1 i 1 i

*

8412 24 36 48 60 72

MODHATR (operational bias) forecasts for 850 mbsteering from 1200 and 1800GMT initial HATRACKtimes, verifying at same time as OFFICIAL: shown as X

X - OFFICIAL forecasts verifying at same time as MODHATRHATR: shown as^

—— - All MODHATR (operational bias) forecasts based on850 mb steering

/- All OFFICIAL forecasts

Figure 27 OFFICIAL and MODHATR (operational bias) forecasterrors J-;

1

-

56

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LIST OF REFERENCES

1. Atkinson, G.D., 1971: Forecaster's Guide to TropicalMeteorology

, p. 8-2 , Technical Report 240, Air WeatherService (MAC) United States Air Force, Scott Air ForceBase, Illinois.

2. Colgan, S.G., 1971: Further Verifications of and Experi-ments to Improve the Modified Hatrack Scheme for Fore -

casting the Motion of Tropical Cyclones , M.S. Thesis,Naval Postgraduate Scnool 1971.

3. Denney, W.J. , 1971: Eastern Pacific Hurricane Seasonof 1970, Monthly Weather Review , 99, 286-301, April 1971.

4. Fleet Weather Central/Joint Typhoon Warning Center,1971: Annual Typhoon Report - 1970 , COMNAVMARIANAS

,

Guam.

5. , 1972: Annual Typhoon Report - 1971 , COMNAV-MARIANAS, Guam.

6. Renard, R.J., 1968: Forecasting the Motion of TropicalCyclones Using a Numerically Derived Steering Currentand its Bias, Monthly Weather Review , 96, 453-469,July 1968.

7. Renard, R.J., Colgan, S.G., Daley, M.J., and Rinard , S.K.,1972: Numerical-Statistical Forecasts of Tropical-CycloneTracks by the MOHATT Scheme, Monthly Weather Review

,

100, (to be published)

.

8. Renard, R.J., Daley, M.J., Rinard, S.K., 1970: A RecentImprovement in the Navy's Numerical-Statistical Schemefor Forecasting the Motion of Hurricanes and Typhoons,Technical Report NPS-51RD0011A, Naval PostgraduateSchool, Monterey, California, 25pp.

9. Sergio, S.C., 1971: Hurricane and Tropical Storms of theWest Coast of Mexico, Monthly Weather Review , 99, 302-308, April 1971.

10. The World Almanac and Book of Facts, 1972 ed. , p. 110,

Newspaper Enterprise Association, Incorporated.

57

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INITIAL DISTRIBUTION LIST

No. Copies

1. Defense Documentation Center 2

Cameron StationAlexandris, Virginia 2231^

2. Library 2

Naval Postgraduate SchoolMonterey, California 939^0

3. Department of Meteorology 2

Naval Postgraduate SchoolMonterey, California 939^0

k . Lieutenant David L. Freeman, USN 2

USS OKINAWA LPH-3FPO San Francisco, California 96601

5. Professor R. J. Renard 10Department of MeteorologyNaval Postgraduate SchoolMonterey, California 939^0

6. Commanding Officer 1

Fleet Numerical Weather CentralNaval Postgraduate SchoolMonterey, California 939^0

7. Commanding Officer 1

Environmental Prediction Research FacilityMonterey, California 939^0

8. Commanding Officer 1

Fleet Weather FacilityNaval Air StationAlameda, California

9. Commanding Officer 1FWC/JTWCCOMNAVMARIANAS, Box 2

FPO San Francisco, California 96630

10. Commanding Officer 1Fleet Weather Central Pearl HarborBox 113FPO San Francisco, California 96610

58

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11. Meteorologist in ChargeNational Weather Service Forecast OfficeRedwood City, California 9^063

12. Naval Weather Service CommandNaval Weather Service HeadquartersWashington Navy YardWashington, D.C. 20390

59

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Security Classification

DOCUMENT CONTROL DATA -R&D/Security classification of title, body ol abstract and indexing annotation must be entered when the overall report is classified)

I. originating ACTIVITY (Corporate author)

Naval Postgraduate SchoolMonterey, California 939^0

3 REPORT TITLE

21. REPORT SECURITY CLASSIFICATION

Unclassified26. GROUP

Forecasting the Motion of Northeastern Pacific Tropical Cyclones

4. DESCRIPTIVE NOTES (Type ol report and. inclusive dates)

Master's Thesis: March 19725. AUTHORlS) (First name, middle initial, last name)

David Lansing Freeman

6. REPORT DATE

March 1972

7«. TOTAL NO. OF PAGES

61

76. NO. OF REFS

10*a. CONTRACT OR GRANT NO.

6. PROJECT NO.

9a. ORIGINATOR'S REPORT NUMBER(S)

96. OTHER REPORT NO(S) (Any other numbers that may be assignedthis report)

10. DISTRIBUTION STATEMENT

Approved for public release; distribution unlimited

II. SUPPLEMENTARY NOTES 12. SPONSORING MILITARY ACTIVITY

Naval Postgraduate SchoolMonterey, California 939^0

13. ABSTR AC T

Several operational methods of forecasting the motion of tropicalcyclones over the northeast Pacific Ocean area are evaluated forthree 1970 and nine 1971 hurricanes. OFFICIAL forecast accuracyis shown to excel that of TYRACK (1971 only) and HATRACK (both years)The MODIFIED HATRACK (MODHATR) forecast scheme developed by the Navyin Monterey, California, comprising a numerical steering component(HATRACK) with a statistical modification (correction for bias inHATRACK) is applied to the same 1970-71 operational data, with theresult that the MODHATR accuracy, using 850 mb steering, is shownto be superior to HATRACK and TYRACK while only slightly inferiorto the OFFICIAL forecasts. Specifically, MODHATR forecast accuracylies in the range 7 to 5kt for 12 to 72 hour forecasts, respectively,while the ratios of OFFICIAL to MODHATR errors range from 1 to .7in 1970 for forecasts 12 to 48 hours and from .9 to .8 in 1971 for12 to 72 hour forecasts, respectively. The number of 1970 forecastsevaluated in the test averaged 35 per forecast interval while the1971 forecast sample ranged from 160 at 12 hours to ^5 at 72 hours.

DD f°" 14731 no v es I ""r / kJ

S/N 0101 -807-681

1

(PAGE 1)

60Security Cls ;sification

1-31408

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Security Classification

key wo R OS

Tropical Cyclones

Hurricanes

Forecasting

Eastern Pacific Ocean

MODIFIED HATRACK

DD, F ° Rv

M691473 (back)

5/N 01 01 -807-6161

Security Glorification A- 3 I 409

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