Relationships Between Eye Size and Intensity Changes of a North

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Relationships Between Eye

Size and Intensity Changes of a N. Atlantic Hurricane

Author: Stephen A. Kearney

Mentor: Dr. Matthew Eastin,

Central College

Introduction

Two primary components to hurricane forecasting:

- Track

- Intensity

Current research on structure and intensity

Knowledge gained about storm structure with flight level data

(e.g., Jorgensen, 1984)

Do relationships exist between eye size and intensity?

Previous studies (e.g., Weatherford and Gray 1988) show weak correlation between eye size and minimum sea level pressure

(MSLP)

Introduction/Hypothesis

Temporal changes associated with eye wall replacement cycles also noted (Willoughby et al.

1990; Willoughby et al. 1982; Black et al. 1992)

Generally, smaller eye sizes coincident with greater intensity

Project investigates impact of eye diameter asymmetries on intensity changes

Hypothesis: Eye sizes are characterized by changes in storm intensity

Overview

Procedures

Investigations

- Direct relationship

- Intensity change with eye size change

Effect of eye symmetry on storm intensity

Procedure

88 total flights analyzed, only at hurricane strength

Flights analyzed at 850 mb and 700 mb levels

14 various N. Atlantic hurricanes from 1979 through 1995

Included some notable storms:

Gilbert, 1988; Andrew, 1992

Procedure

Flights composed of several legs, or passes through eye

RMW = Radius of Maximum Wind (Shea et al. 1973)

- Value of eye size

Two values for mean RMW

RMW

1

RMW

2

= Average of RMW from first four legs

= Average of RMW from last four legs

Only flights with at least eight legs used

Procedure

Mean times found in same way as mean RMW.

Labeled t

1 and t

2

, respectively

Change in Mean RMW per second

Mean RMW = RMW

2

Change t

2

– RMW

1

– t

1

Procedure

Calculated change in Maximum Wind (m/s) and change in MSLP (mb)

Change values covered separate six-hour periods during and after each flight

- Immediate or future impact?

RMW Standard Deviation (RMW SD) found separately for RMW-1 and RMW-2

Investigations of RMW

Direct relationship

Initial Max Wind to RMW

1

Final Max Wind to RMW

2

Initial MSLP to RMW

1

Final MSLP to RMW

2

130.00

120.00

110.00

100.00

90.00

80.00

70.00

60.00

50.00

40.00

30.00

20.00

10.00

30

RMW vs Max Wind

130.00

120.00

110.00

100.00

90.00

80.00

70.00

60.00

50.00

40.00

30.00

20.00

10.00

30 40 50 60

Initial Max Wind (m/s)

70 80 40 50 60 70

Final Max Wind (m/s)

80 90

Any direct relationship between RMW and Max Wind?

130.00

120.00

110.00

100.00

90.00

80.00

70.00

60.00

50.00

40.00

30.00

20.00

10.00

875

RMW vs MSLP

130.00

120.00

110.00

100.00

90.00

80.00

70.00

60.00

50.00

40.00

30.00

20.00

10.00

875

900 925 950

Initial MSLP (mb)

975 1000

900 925 950

Final MSLP (mb)

975 1000

Any direct relationship between RMW and MSLP?

Very low pressures with small RMW values (Gilbert, 888 mb)

Investigations of RMW Change

Intensity change relationship with eye change

Max Wind Change during flight

Max Wind Change after flight

MSLP Change during flight

MSLP Change after flight

20

10

0

-10

-20

-30

-40

-50

50

40

30

100

90

80

70

60

-15

RMW Change vs Max Wind Change

During Flight

Any immediate effect on

Max Wind?

Little to no correlation found

Statistics: y = 2.496 - 1.095 x

R=0.039804

-10 -5 0 5

Max Wind Change (m/s)

10 15

RMW Change vs Post Flight Max

Wind Change

100

90

80

70

60

50

10

0

-10

-20

-30

-40

-50

40

30

20

-20 -15 -10 -5 0 5

Post Flight Max Wind Change (m/s)

10

Any future effect on Max

Wind?

Little to no correlation found

Statistics: y = 1.888 - 0.298 x

R= 0.003811

RMW Change vs MSLP Change

During Flight

100

90

80

70

60

50

40

30

20

10

0

-10

-20

-30

-40

-50

-30 -25 -20 -15 -10 -5 0 5 10 15 20

MSLP Change (mb)

Any immediate effect on

MSLP?

Little to no correlation found

Statistics: y = 2.722 + 0.602 x

R= 0.034097

0

-10

-20

30

20

10

-30

-40

-50

100

90

80

70

60

50

40

-20

RMW Change vs Post Flight MSLP

Change

Any future effect on

MSLP Change?

Little to no correlation found

Statistics: y = 1.534 + 0.392 x

R=0.01604

-10 0 10 20

MSLP Change (mb)

30 40

Results

Direct Relationship

Very little correlation present

Relationship to RMW Change

Not much correlation

Agrees with findings of Weatherford and Gray

(1988)

RMW Std Dev

Approximate measure of eye structure symmetry

Larger RMW SD: RMW values dissimilar

Indicated more asymmetric eye structure

Smaller RMW SD: RMW values similar

Indicated more symmetric eye structure

MSLP vs RMW SD

MSLP and RMW SD had noticeable correlation

Found ranges of RMW SD to get different

“levels” of eye symmetry (i.e., < 3, 3 to 6, 6 to

9)

Calculated Mean and Std Dev of MSLP Change within each RMW SD range

MSLP Change vs RMW

1

10 10

SD During Flight

8 8

6 6

4 4

2

0

-2

-10

-12

-4

-6

-8

< 3 3 to 6 6 to 10 10 to 21

RMW-1 Std Dev Range

> 21

2

0

-2

-4

-6

-8

-10

-12

0.00

10.00

20.00

30.00

40.00

RMW-1 Std Dev.

50.00

60.00

Std Dev bars on left - Variability of MSLP Change

Diagonal lines indicate mean MSLP in each “level”

MSLP change values plotted on right against RMW

1

SD

6

5

4

3

8

7

2

1

0

-1

-2

-3

-8

-9

-10

-4

-5

-6

-7

-11

-12

-13

MSLP Change vs RMW

2

SD During Flight

8

6

4

< 3 3 to 5 5 to 8 8 to 20

RMW-2 Std Dev Range

> 20

2

0

-2

-4

-10

-12

-6

-8

-14

0.00

5.00 10.00 15.00 20.00 25.00 30.00 35.00 40.00 45.00 50.00

RMW-2 Std Dev.

Std Dev bars on left - Variability of MSLP Change

Diagonal lines indicate mean MSLP in each “level”

MSLP change values plotted on right against RMW

2

SD

-8

-6

-2

-4

0

4

2

10

8

6

14

12

Post Flight MSLP Change vs RMW

1

SD

14

12

10

8

6

4

2

0

-2

-4

-6

-8

-10

0.00

< 3 3 to 6 6 to 9 10 to 21

RMW-1 Std Dev Range

> 21 10.00

20.00

30.00

40.00

RMW-1 Std Dev.

50.00

60.00

Std Dev bars on left - Variability of MSLP Change

Diagonal lines indicate mean MSLP in each “level”

MSLP change values plotted on right against RMW

1

SD

-6

-8

-10

-2

-4

4

2

0

8

6

10

12

Post Flight MSLP Change vs RMW

2

SD

12

10

8

6

4

2

0

-2

-4

-6

-8

-10

0.00

< 3 3 to 5 5 to 8 8 to 20

RMW-2 Std Dev Range

> 20 10.00

20.00

30.00

RMW-2 Std Dev.

40.00

50.00

Std Dev bars on left - Variability of MSLP Change

Diagonal lines indicate mean MSLP in each “level”

MSLP change values plotted on right against RMW

2

SD

Summary and Conclusion

Very little relationship between eye diameter and intensity change, current or future

Symmetric structure indicated by RMW SD

Lower MSLP Std Dev trended with higher

RMW SD

MSLP changed the most with more symmetric structure

Summary and Conclusion

More asymmetric structure: negative impact on storm

More time for vertical shear

More time for colder SST’s to inhibit strengthening

More symmetric structure: positive impact on storm

Allows winds to increase quicker

Other studies (e.g. Shapiro and Willoughby 1982) show more symmetric structure has better “spin-up” effect

Summary and Conclusion

Eye symmetry important to forecasting

Case study by Willoughby et al. 1990

- Outer eye wall observed to contract before becoming asymmetric

- Retained intensity on one side, then weakened on the other

- Can create different effects on a local area, depending on landfall time and location

Points to Consider

Only flights from 1979 to 1995 were used

Tropical cyclones stronger and more frequent in past ten years

Further studies, especially on 2005 record breaking season, can be done

More frequent flights into storms today

Higher resolution data may indicate further relationships

Acknowledgements

Author would like to thank the following:

Dr. Matthew Eastin - mentorship, guidance, and data

Dr. Takle - advice

NOAA’s Hurricane Research Division - data

Classmates and Professors - moral support

Any Questions?

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