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Reprint 1178
Probabilistic Quantitative Precipitation Forecast
for Tropical Cyclone Rainfall
W.C. Woo, K.M. Lok* & W.K. Wong
The Third International Workshop on Tropical Cyclone
Landfall Processes (IWTCLP-III), Jeju, 8-10 Nov 2014
* Cambridge University, UK
Probabilistic Quantitative
Precipitation Forecasts
for Tropical Cyclone Rainfall
WOO WANG CHUN
HONG KONG OBSERVATORY
IWTCLP-III, JEJU 10, DEC 2014
PROBABILISTIC QUANTITATIVE PRECIPITATION FORECASTS
FOR TROPICAL CYCLONE RAINFALL
Scales of Atmospheric Systems
PROBABILISTIC QUANTITATIVE PRECIPITATION FORECASTS
FOR TROPICAL CYCLONE RAINFALL
Advection-Based
Nowcasting Systems
• HKO – SWIRLS
• JMA – VSRF
• BoM – SPROG / STEPS
• UKMO – GANDOLF / NIMROD / STEPS
• NCAR – AutoNowcaster
• McGill U – MAPLE
PROBABILISTIC QUANTITATIVE PRECIPITATION FORECASTS
FOR TROPICAL CYCLONE RAINFALL
Principles of Advection-Based
Nowcasting
PROBABILISTIC QUANTITATIVE PRECIPITATION FORECASTS
FOR TROPICAL CYCLONE RAINFALL
Steps in Nowcasting
1. Quantitative Precipitation Estimation
2. Storm Motion Field Estimation by “ROVER”
3. Extrapolation by “Semi-Lagrangian
Advection”
4. Products for Rainfall up to 6 hours
PROBABILISTIC QUANTITATIVE PRECIPITATION FORECASTS
FOR TROPICAL CYCLONE RAINFALL
HKO’s SWIRLS
Nowcasting System
PROBABILISTIC QUANTITATIVE PRECIPITATION FORECASTS
FOR TROPICAL CYCLONE RAINFALL
SWIRLS - Domain
PROBABILISTIC QUANTITATIVE PRECIPITATION FORECASTS
FOR TROPICAL CYCLONE RAINFALL
• Based on single radar
• Domain Size:
• Input: 512 x 512 km
• Output: 256 x 256 km
• Grid
• 480 x 480
(about 500 m)
Location-specific Rainfall
Nowcast
Rainfall Forecast in
half hour interval in
the next two hours
Displayed as icons
and as maps
Notifications!
PROBABILISTIC QUANTITATIVE PRECIPITATION FORECASTS
FOR TROPICAL CYCLONE RAINFALL
Quantitative Precipitation
Estimate (QPE) in SWIRLS
PROBABILISTIC QUANTITATIVE PRECIPITATION FORECASTS
FOR TROPICAL CYCLONE RAINFALL
QPE in SWIRLS
PROBABILISTIC QUANTITATIVE PRECIPITATION FORECASTS
FOR TROPICAL CYCLONE RAINFALL
least square matching (Zawadzki 1987)
based on latest radar reflectivity and raingauge
data
linear regression to find a & b:
updated every 5 min
rainfall accumulations estimated by integrating the
rainfall rates at different times
  
cx
i
my
i aRbdBZ log10log10 
20
25
30
35
40
45
50
55
60
5 7 9 11 13 15 17 19 21
dBG
dBZ
Quantitative Precipitation
Forecast (QPF) in SWIRLS
“ROVER“ - Real-time Optical-flow by Variational method for Echoes of
Radar –
◦ Radar images pre-processed:
◦ Based on the “VarFlow” algorithm developed by Bruhn et al. (2003 & 2005)
More on “ROVER” the radar
echo tracking algorithm…
There are 6 tunable parameters in ROVER:
1. Gaussian convolution for field smoothing  s (SIGME)
2. Gaussian convolution for “local” vector field smoothing (thru
the field gradients)  r (RHO)
3. regularization parameter, i.e. the weight of smoothness
constraint on motion field  a (ALPHA)
4. “min_scale” for setting the finest spatial scale 
Lf(MIN_SCALE)
5. “max_scale” for setting the coarsest spatial scale 
Lc(MAX_SCALE)
6. the time interval for tracking radar echoes  Tr
(INTERVAL_FOR_VARFLOW)
PROBABILISTIC QUANTITATIVE PRECIPITATION FORECASTS
FOR TROPICAL CYCLONE RAINFALL
TC Module in SWIRLS
Original Advection Scheme:
PROBABILISTIC QUANTITATIVE PRECIPITATION FORECASTS
FOR TROPICAL CYCLONE RAINFALL
TC Module in SWIRLS
Enhancement Method:
PROBABILISTIC QUANTITATIVE PRECIPITATION FORECASTS
FOR TROPICAL CYCLONE RAINFALL
Separate the motion of TC before radar echo tracking
TC Module in SWIRLS
Improvements:
PROBABILISTIC QUANTITATIVE PRECIPITATION FORECASTS
FOR TROPICAL CYCLONE RAINFALL
Probabilistic
Location-Specific
Precipitation
Nowcast
PROBABILISTIC QUANTITATIVE PRECIPITATION FORECASTS
FOR TROPICAL CYCLONE RAINFALL
Why?
1. Better support for Rainfall Warning
System
2. Facilitate cost-benefit analyses
3. More tailored to the needs of
organizations under various operational
constraints
PROBABILISTIC QUANTITATIVE PRECIPITATION FORECASTS
FOR TROPICAL CYCLONE RAINFALL
Experimental SWIRLS
Ensemble Rainfall Nowcast
By tuning the 6 parameters, 36 sets of
parameters have been experimented, i.e.
ensemble of 36 members.
PROBABILISTIC QUANTITATIVE PRECIPITATION FORECASTS
FOR TROPICAL CYCLONE RAINFALL
Probabilistic QPF (PQPF)
PROBABILISTIC QUANTITATIVE PRECIPITATION FORECASTS
FOR TROPICAL CYCLONE RAINFALL
PQPF Product 1
Rainfall Intensity Contour Map
For Specific Exceedance Probability:
PROBABILISTIC QUANTITATIVE PRECIPITATION FORECASTS
FOR TROPICAL CYCLONE RAINFALL
PROBABILISTIC QUANTITATIVE PRECIPITATION FORECASTS
FOR TROPICAL CYCLONE RAINFALL
A Rain Storm Case: Time: 2014/5/8 11:00PM
PQPF Product 2
Probability Contour Map
For Specific Intensity Threshold
PROBABILISTIC QUANTITATIVE PRECIPITATION FORECASTS
FOR TROPICAL CYCLONE RAINFALL
PROBABILISTIC QUANTITATIVE PRECIPITATION FORECASTS
FOR TROPICAL CYCLONE RAINFALL
Threshold rainfall intensity = 0.5mm/hr
A Rain Storm Case: Time: 2014/5/8 11:00PM
PROBABILISTIC QUANTITATIVE PRECIPITATION FORECASTS
FOR TROPICAL CYCLONE RAINFALL
Threshold rainfall intensity = 5mm/hr
A Rain Storm Case: Time: 2014/5/8 11:00PM
PROBABILISTIC QUANTITATIVE PRECIPITATION FORECASTS
FOR TROPICAL CYCLONE RAINFALL
Threshold rainfall intensity = 30mm/hr
A Rain Storm Case: Time: 2014/5/8 11:00PM
Verification and Analyses
PROBABILISTIC QUANTITATIVE PRECIPITATION FORECASTS
FOR TROPICAL CYCLONE RAINFALL
Verified against Radar QPE data:
• resolution 480X480 pixels
• Generated every 6 minutes
One datum for each grid
480
480
•Data from March, April and May
•Data size ~ 5 × 109
(Five Billion)
Verification and Analyses
PROBABILISTIC QUANTITATIVE PRECIPITATION FORECASTS
FOR TROPICAL CYCLONE RAINFALL
Verification and Analyses
PROBABILISTIC QUANTITATIVE PRECIPITATION FORECASTS
FOR TROPICAL CYCLONE RAINFALL
Results plotted as
Reliability Diagram
PROBABILISTIC QUANTITATIVE PRECIPITATION FORECASTS
FOR TROPICAL CYCLONE RAINFALL
Relative Operating
Characteristics (ROC)
PROBABILISTIC QUANTITATIVE PRECIPITATION FORECASTS
FOR TROPICAL CYCLONE RAINFALL
Contingency Table
Observed
Total
Yes No
Forecast
Yes hits false
alarms
forecast
yes
No misses correct
negatives
forecast
no
Total observed
yes
observed
No
Total
• Together with the “observed” QPE data and the contingency table, count the
number of “hits”, “false alarms”, “misses” or “correct negatives”
• Plot probability of detection (POD) vs probability of false detection (POFD)
𝑃𝑂𝐷 =
ℎ𝑖𝑡𝑠
ℎ𝑖𝑡𝑠 + 𝑚𝑖𝑠𝑠𝑒𝑠
𝑃𝑂𝐹𝐷 =
𝑓𝑎𝑙𝑠𝑒 𝑎𝑙𝑎𝑟𝑚𝑠
𝑐𝑜𝑟𝑟𝑒𝑐𝑡 𝑛𝑒𝑔𝑎𝑡𝑖𝑣𝑒𝑠 + 𝑓𝑎𝑙𝑠𝑒 𝑎𝑙𝑎𝑟𝑚𝑠
[1]
[1]
Results shown in
Relative Operating Characteristics
PROBABILISTIC QUANTITATIVE PRECIPITATION FORECASTS
FOR TROPICAL CYCLONE RAINFALL
[CELLRANGE]
[CELLRANGE]
[CELLRANGE]
[CELLRANGE]
[CELLRANGE]
[CELLRANGE]
[CELLRANGE]
[CELLRANGE]
[CELLRANGE]
[CELLRANGE]
[CELLRANGE]
[CELLRANGE]
[CELLRANGE]
[CELLRANGE]
[CELLRANGE]
[CELLRANGE]
[CELLRANGE]
[CELLRANGE]
[CELLRANGE]
[CELLRANGE]
[CELLRANGE]
[CELLRANGE]
[CELLRANGE]
[CELLRANGE]
[CELLRANGE]
[CELLRANGE]
[CELLRANGE]
[CELLRANGE]
[CELLRANGE]
[CELLRANGE]
[CELLRANGE]
[CELLRANGE]
[CELLRANGE]
[CELLRANGE]
[CELLRANGE]
[CELLRANGE]0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1
POD
POFD
Relative Operating Characteristic
0.5mm
5mm
30mm
no skill
Conclusions
1. This study introduces a method to
generate probabilistic rainfall nowcast, by
perturbing motion vectors of radar
echoes.
2. Arrives at fairly reliable PQPF for light and
moderate rainfall, though somewhat
overestimated heavy rain
3. ROC curves indicate an capability to
distinguish between rain and no-rain
PROBABILISTIC QUANTITATIVE PRECIPITATION FORECASTS
FOR TROPICAL CYCLONE RAINFALL
Future Work
Verification for Other Seasons
Verification for Land-falling TCs
PROBABILISTIC QUANTITATIVE PRECIPITATION FORECASTS
FOR TROPICAL CYCLONE RAINFALL

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r1178

  • 1. Reprint 1178 Probabilistic Quantitative Precipitation Forecast for Tropical Cyclone Rainfall W.C. Woo, K.M. Lok* & W.K. Wong The Third International Workshop on Tropical Cyclone Landfall Processes (IWTCLP-III), Jeju, 8-10 Nov 2014 * Cambridge University, UK
  • 2. Probabilistic Quantitative Precipitation Forecasts for Tropical Cyclone Rainfall WOO WANG CHUN HONG KONG OBSERVATORY IWTCLP-III, JEJU 10, DEC 2014 PROBABILISTIC QUANTITATIVE PRECIPITATION FORECASTS FOR TROPICAL CYCLONE RAINFALL
  • 3. Scales of Atmospheric Systems PROBABILISTIC QUANTITATIVE PRECIPITATION FORECASTS FOR TROPICAL CYCLONE RAINFALL
  • 4. Advection-Based Nowcasting Systems • HKO – SWIRLS • JMA – VSRF • BoM – SPROG / STEPS • UKMO – GANDOLF / NIMROD / STEPS • NCAR – AutoNowcaster • McGill U – MAPLE PROBABILISTIC QUANTITATIVE PRECIPITATION FORECASTS FOR TROPICAL CYCLONE RAINFALL
  • 5. Principles of Advection-Based Nowcasting PROBABILISTIC QUANTITATIVE PRECIPITATION FORECASTS FOR TROPICAL CYCLONE RAINFALL
  • 6. Steps in Nowcasting 1. Quantitative Precipitation Estimation 2. Storm Motion Field Estimation by “ROVER” 3. Extrapolation by “Semi-Lagrangian Advection” 4. Products for Rainfall up to 6 hours PROBABILISTIC QUANTITATIVE PRECIPITATION FORECASTS FOR TROPICAL CYCLONE RAINFALL
  • 7. HKO’s SWIRLS Nowcasting System PROBABILISTIC QUANTITATIVE PRECIPITATION FORECASTS FOR TROPICAL CYCLONE RAINFALL
  • 8. SWIRLS - Domain PROBABILISTIC QUANTITATIVE PRECIPITATION FORECASTS FOR TROPICAL CYCLONE RAINFALL • Based on single radar • Domain Size: • Input: 512 x 512 km • Output: 256 x 256 km • Grid • 480 x 480 (about 500 m)
  • 9. Location-specific Rainfall Nowcast Rainfall Forecast in half hour interval in the next two hours Displayed as icons and as maps Notifications! PROBABILISTIC QUANTITATIVE PRECIPITATION FORECASTS FOR TROPICAL CYCLONE RAINFALL
  • 10. Quantitative Precipitation Estimate (QPE) in SWIRLS PROBABILISTIC QUANTITATIVE PRECIPITATION FORECASTS FOR TROPICAL CYCLONE RAINFALL
  • 11. QPE in SWIRLS PROBABILISTIC QUANTITATIVE PRECIPITATION FORECASTS FOR TROPICAL CYCLONE RAINFALL least square matching (Zawadzki 1987) based on latest radar reflectivity and raingauge data linear regression to find a & b: updated every 5 min rainfall accumulations estimated by integrating the rainfall rates at different times    cx i my i aRbdBZ log10log10  20 25 30 35 40 45 50 55 60 5 7 9 11 13 15 17 19 21 dBG dBZ
  • 12. Quantitative Precipitation Forecast (QPF) in SWIRLS “ROVER“ - Real-time Optical-flow by Variational method for Echoes of Radar – ◦ Radar images pre-processed: ◦ Based on the “VarFlow” algorithm developed by Bruhn et al. (2003 & 2005)
  • 13. More on “ROVER” the radar echo tracking algorithm… There are 6 tunable parameters in ROVER: 1. Gaussian convolution for field smoothing  s (SIGME) 2. Gaussian convolution for “local” vector field smoothing (thru the field gradients)  r (RHO) 3. regularization parameter, i.e. the weight of smoothness constraint on motion field  a (ALPHA) 4. “min_scale” for setting the finest spatial scale  Lf(MIN_SCALE) 5. “max_scale” for setting the coarsest spatial scale  Lc(MAX_SCALE) 6. the time interval for tracking radar echoes  Tr (INTERVAL_FOR_VARFLOW) PROBABILISTIC QUANTITATIVE PRECIPITATION FORECASTS FOR TROPICAL CYCLONE RAINFALL
  • 14. TC Module in SWIRLS Original Advection Scheme: PROBABILISTIC QUANTITATIVE PRECIPITATION FORECASTS FOR TROPICAL CYCLONE RAINFALL
  • 15. TC Module in SWIRLS Enhancement Method: PROBABILISTIC QUANTITATIVE PRECIPITATION FORECASTS FOR TROPICAL CYCLONE RAINFALL Separate the motion of TC before radar echo tracking
  • 16. TC Module in SWIRLS Improvements: PROBABILISTIC QUANTITATIVE PRECIPITATION FORECASTS FOR TROPICAL CYCLONE RAINFALL
  • 18. Why? 1. Better support for Rainfall Warning System 2. Facilitate cost-benefit analyses 3. More tailored to the needs of organizations under various operational constraints PROBABILISTIC QUANTITATIVE PRECIPITATION FORECASTS FOR TROPICAL CYCLONE RAINFALL
  • 19. Experimental SWIRLS Ensemble Rainfall Nowcast By tuning the 6 parameters, 36 sets of parameters have been experimented, i.e. ensemble of 36 members. PROBABILISTIC QUANTITATIVE PRECIPITATION FORECASTS FOR TROPICAL CYCLONE RAINFALL
  • 20. Probabilistic QPF (PQPF) PROBABILISTIC QUANTITATIVE PRECIPITATION FORECASTS FOR TROPICAL CYCLONE RAINFALL
  • 21. PQPF Product 1 Rainfall Intensity Contour Map For Specific Exceedance Probability: PROBABILISTIC QUANTITATIVE PRECIPITATION FORECASTS FOR TROPICAL CYCLONE RAINFALL
  • 22. PROBABILISTIC QUANTITATIVE PRECIPITATION FORECASTS FOR TROPICAL CYCLONE RAINFALL A Rain Storm Case: Time: 2014/5/8 11:00PM
  • 23. PQPF Product 2 Probability Contour Map For Specific Intensity Threshold PROBABILISTIC QUANTITATIVE PRECIPITATION FORECASTS FOR TROPICAL CYCLONE RAINFALL
  • 24. PROBABILISTIC QUANTITATIVE PRECIPITATION FORECASTS FOR TROPICAL CYCLONE RAINFALL Threshold rainfall intensity = 0.5mm/hr A Rain Storm Case: Time: 2014/5/8 11:00PM
  • 25. PROBABILISTIC QUANTITATIVE PRECIPITATION FORECASTS FOR TROPICAL CYCLONE RAINFALL Threshold rainfall intensity = 5mm/hr A Rain Storm Case: Time: 2014/5/8 11:00PM
  • 26. PROBABILISTIC QUANTITATIVE PRECIPITATION FORECASTS FOR TROPICAL CYCLONE RAINFALL Threshold rainfall intensity = 30mm/hr A Rain Storm Case: Time: 2014/5/8 11:00PM
  • 27. Verification and Analyses PROBABILISTIC QUANTITATIVE PRECIPITATION FORECASTS FOR TROPICAL CYCLONE RAINFALL Verified against Radar QPE data: • resolution 480X480 pixels • Generated every 6 minutes One datum for each grid 480 480 •Data from March, April and May •Data size ~ 5 × 109 (Five Billion)
  • 28. Verification and Analyses PROBABILISTIC QUANTITATIVE PRECIPITATION FORECASTS FOR TROPICAL CYCLONE RAINFALL
  • 29. Verification and Analyses PROBABILISTIC QUANTITATIVE PRECIPITATION FORECASTS FOR TROPICAL CYCLONE RAINFALL
  • 30. Results plotted as Reliability Diagram PROBABILISTIC QUANTITATIVE PRECIPITATION FORECASTS FOR TROPICAL CYCLONE RAINFALL
  • 31. Relative Operating Characteristics (ROC) PROBABILISTIC QUANTITATIVE PRECIPITATION FORECASTS FOR TROPICAL CYCLONE RAINFALL Contingency Table Observed Total Yes No Forecast Yes hits false alarms forecast yes No misses correct negatives forecast no Total observed yes observed No Total • Together with the “observed” QPE data and the contingency table, count the number of “hits”, “false alarms”, “misses” or “correct negatives” • Plot probability of detection (POD) vs probability of false detection (POFD) 𝑃𝑂𝐷 = ℎ𝑖𝑡𝑠 ℎ𝑖𝑡𝑠 + 𝑚𝑖𝑠𝑠𝑒𝑠 𝑃𝑂𝐹𝐷 = 𝑓𝑎𝑙𝑠𝑒 𝑎𝑙𝑎𝑟𝑚𝑠 𝑐𝑜𝑟𝑟𝑒𝑐𝑡 𝑛𝑒𝑔𝑎𝑡𝑖𝑣𝑒𝑠 + 𝑓𝑎𝑙𝑠𝑒 𝑎𝑙𝑎𝑟𝑚𝑠 [1] [1]
  • 32. Results shown in Relative Operating Characteristics PROBABILISTIC QUANTITATIVE PRECIPITATION FORECASTS FOR TROPICAL CYCLONE RAINFALL [CELLRANGE] [CELLRANGE] [CELLRANGE] [CELLRANGE] [CELLRANGE] [CELLRANGE] [CELLRANGE] [CELLRANGE] [CELLRANGE] [CELLRANGE] [CELLRANGE] [CELLRANGE] [CELLRANGE] [CELLRANGE] [CELLRANGE] [CELLRANGE] [CELLRANGE] [CELLRANGE] [CELLRANGE] [CELLRANGE] [CELLRANGE] [CELLRANGE] [CELLRANGE] [CELLRANGE] [CELLRANGE] [CELLRANGE] [CELLRANGE] [CELLRANGE] [CELLRANGE] [CELLRANGE] [CELLRANGE] [CELLRANGE] [CELLRANGE] [CELLRANGE] [CELLRANGE] [CELLRANGE]0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 POD POFD Relative Operating Characteristic 0.5mm 5mm 30mm no skill
  • 33. Conclusions 1. This study introduces a method to generate probabilistic rainfall nowcast, by perturbing motion vectors of radar echoes. 2. Arrives at fairly reliable PQPF for light and moderate rainfall, though somewhat overestimated heavy rain 3. ROC curves indicate an capability to distinguish between rain and no-rain PROBABILISTIC QUANTITATIVE PRECIPITATION FORECASTS FOR TROPICAL CYCLONE RAINFALL
  • 34. Future Work Verification for Other Seasons Verification for Land-falling TCs PROBABILISTIC QUANTITATIVE PRECIPITATION FORECASTS FOR TROPICAL CYCLONE RAINFALL