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EIGHTH INTERNATIONAL WORKSHOP ON TROPICAL CYCLONES
OBJECTIVE STRUCTURE ANALYSISWorking Group: J. Knaff (NESDIS, Lead), Michael Bell (U. Hawaii – USA), Johnny C. L. Chan (City Univ. of Hong Kong), Kelvin T. F. Chan (City Univ. of Hong Kong - Hong Kong), Hung-Chi Kuo (Pacific Science Association), Cheng-Shang Lee (Pacific Science Association), Wen-Chau Lee (NCAR-USA), Christopher M. Rozoff (CIMSS/U. Wisc – USA), Kim Wood (U. Arizona – USA), Buck Sampson (NRLMRY-USA)
5 December 2014
EIGHTH INTERNATIONAL WORKSHOP ON TROPICAL CYCLONES
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Let’s keep this interactive…5 December 2014
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The nature of TC structure analysis
5 December 2014
Marine (i.e. remote) environment Limited tools and observations Indirect or incomplete information
Goal: present some of the new techniques that will help better determine tropical cyclone structure given the current state of observations and technology
EIGHTH INTERNATIONAL WORKSHOP ON TROPICAL CYCLONES
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Outline5 December 2014
1. Improving use of operational/best track observations
2. Assessing TC structure from model output
3. Estimating TC structure parameters via passive microwave imagery
4. Estimating TC structure from coastal radar
5. Size and wind structure assessment from scatterometer data
6. Size and wind field inferred from infrared satellite-based observations
EIGHTH INTERNATIONAL WORKSHOP ON TROPICAL CYCLONES
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Improving use of operational/best track observations 5 December 2014
Common situation when trying to assess TC structure:
Observations are limited Observations are of varying quality Observations contain conflicting information
Problem: How do you make a physically consistent set of TC-Vitals “TC Bogus” for external use?
EIGHTH INTERNATIONAL WORKSHOP ON TROPICAL CYCLONES
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Example situation5 December 2014
Wind Radii
Intensity
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Example: Summary
Intensity = 155 kt ± 10 kt
ROCI = 300 n. mi ± 75 n. mi
POCI = 1006 hPa ± 2 hPa
R34 = 180 n.mi ± 40 n.mi
Latitude = 21o N
Radius of Maximum Winds
Central Pressure
5 December 2014
Observations Unknowns
8 EIGHTH INTERNATIONAL WORKSHOP ON TROPICAL CYCLONES
Potential Solutions (1)
Based upon a modified Chan and
Williams (1987) tangential wind
profile on an f-plane Environmental P = POCI-2 This method allows for
interpretation of TC-Vital
information that is considered
higher quality to provide the
additional or missing structure
parameters in a consistent
manner.
1. When storm latitude (φ), DP, and
ROCI/POCI/Penv are known, Vm, R34, and
RMW are estimated.
2. When φ, DP, R34, POCI/Penv are known,
Vm, RMW, and ROCI are estimated.
3. Given φ, DP, RMW, POCI/Penv, the Vm,
R34, and ROCI are calculated.
4. Given φ, Vm, ROCI, and POCI/Penv,
estimates for RMW, R34, and DP can be
created
5. For known φ, Vm, and R34, estimates of
RMW, ROCI, and DP are calculated.
6. Finally for φ, Vm, and RMW, the values of
R34, ROCI and DP can be estimated.
5 December 2014
Davidson et al. (2014) Capabilities
9 EIGHTH INTERNATIONAL WORKSHOP ON TROPICAL CYCLONES
Potential Solutions (2)
A Simplified Holland B (SHB)
parameter
Vm = intensity estimate
DP = Pressure Deficit (intensity, latitude, R34, POCI/Penv), estimated from Courtney and Knaff (2009)
Based on a modified Rankine Vortex
Interactive with the forecaster based on the relative size of the system. Allows for a check of consistency vs climatology (Ask “is this a large storm?” in a dialog)
5 December 2014
Knaff et al. (2011) Capabilities
DP
eVmSHB
2
Small
Large
EIGHTH INTERNATIONAL WORKSHOP ON TROPICAL CYCLONES
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Examples of SHB5 December 2014
Small
Large
EIGHTH INTERNATIONAL WORKSHOP ON TROPICAL CYCLONES
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Bottom Line5 December 2014
Such diagnostics can
1. In operations, help forecasters to quality control and reduce
uncertainty in the TC Vitals and ultimately speed the
forecast process
2. For historical data, improve comparisons and climatological
studies focused on tropical cyclone size, structure, and
intensity, and provide a method to aid comparing basin-to-
basin and interagency best-track information.
EIGHTH INTERNATIONAL WORKSHOP ON TROPICAL CYCLONES
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Related Recommendations5 December 2014
We recommend that methods to aid TC vital consistency be used in operational systems to improve the consistency in TC vitals and inter-agency best tracks
EIGHTH INTERNATIONAL WORKSHOP ON TROPICAL CYCLONES
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Assessing TC structure from model output
5 December 2014
Models of TCs are improving (see Section 2.3.3)
They assimilate large scale observations They can resolve much of the outer
structure They can accurately depict the synoptic
environment
EIGHTH INTERNATIONAL WORKSHOP ON TROPICAL CYCLONES
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Example: GFDL Tracker5 December 2014
1. Overall and quadrant-based
areal coverage of winds
exceeding the same 34-, 50-,
and 64-kt wind thresholds
2. The Integrated Kinetic
Energy (IKE) for TS
threshold (17.5 m/s) and
above.
3. Parameters related to extra-
tropical transition including
mean and maximum values
of vorticity at 850 hPa & 700
hPa centered on the TC,
storm translation
speed/direction and Hart
(2003) cyclone phase space
parameters.
EIGHTH INTERNATIONAL WORKSHOP ON TROPICAL CYCLONES
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Example tracker5 December 2014
Fix estimates (PINK)
Forecasts (BLACK)
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Related Recommendations5 December 2014
That modeling centers be encouraged to either modify existing trackers to provide wind structure and type (sub-tropical, tropical, extra-tropical) information, or that those same centers run the GFDL track in addition to their in-house tracking software
EIGHTH INTERNATIONAL WORKSHOP ON TROPICAL CYCLONES
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Estimating TC structure parameters via passive microwave imagery
5 December 2014
Structures related to Rapid Intensification
Satellite data provide a key way to quantify internal TC latent heating structure
85-GHz MI, Harnos and Nesbitt (2011) showed that the azimuthal symmetry of convection about a TC’s center, including the development of a convective ring, often accompanies RI
the 19- and 37-GHz microwave channels indicate microwave emissions from liquid hydrometeors. Kieper and Jiang (2012) found that a ring pattern observed in the 37-GHz composite color product provided in the Naval Research Laboratory TC MI dataset occurs around the center of a TC during many RI events.
These relationships have been quantified by Rozoff et al. (2015)
EIGHTH INTERNATIONAL WORKSHOP ON TROPICAL CYCLONES
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Estimating TC structure parameters via passive microwave imagery
5 December 2014
Structures related to Rapid Intensification
Caption: TMI brightness temperatures (K) of Hurricane Dean at 1314 UTC 15 August 2007 at (a)19.35 GHz (vertical polarization), (b) 37 GHz (vertical polarization), (c) 37 GHz (polarization corrected temperature; PCT), and (d) 85.5 GHz (PCT).
Image Time
EIGHTH INTERNATIONAL WORKSHOP ON TROPICAL CYCLONES
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Estimating TC structure parameters via passive microwave imagery
5 December 2014
Detecting secondary eyewall formation
The observational studies of Kuo et al. (2009), Yang et al. (2013), and Yang et al. (2014) provide in-depth documentation of CE characteristics over many years of TCs observed by passive microwave satellites.
Using the antenna gain function associated with the sampled radiometer data, the NRL MI are reprocessed to create high-resolution (1-2 km) products that can aid in defining inner-storm structural details (Hawkins and Helveston 2004; Hawkins et al. 2006).
An objective method is developed using MI to identify CEs in western North Pacific Ocean typhoons (Yang et al. 2013).
Three CE types are identified in Yang et al. (2013): a CE with an eyewall replacement cycle (ERC; 37 cases, 53%), a CE with no replacement cycle (NRC; 17 cases, 24%), and a CE that is maintained for an extended period (CEM; 16 cases, 23%).
EIGHTH INTERNATIONAL WORKSHOP ON TROPICAL CYCLONES
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Estimating TC structure parameters via passive microwave imagery
5 December 2014
Detecting secondary eyewall formation
Caption: Color-enhanced microwave CE imageries of Typhoons (a) Oliwa (1997) and (b) Vamco (2009). The averaged TB profiles of eight radial directions for Typhoon Oliwa are conformed to the CE-determined criteria.The secondary TB minimum for Typhoon Vamco only identified spiral outer rainband. (solid green: WNW, solid yellow:WSW, solid red: SSW, solid blue: NNW, dash green: ENE, dash yellow: ESE, dash red: SSE, and dash blue:NNE).
EIGHTH INTERNATIONAL WORKSHOP ON TROPICAL CYCLONES
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Estimating TC structure parameters via passive microwave imagery
5 December 2014
Detecting secondary eyewall formation
Caption. The concentric eyewall duration time in the western North Pacific and Atlantic.
EIGHTH INTERNATIONAL WORKSHOP ON TROPICAL CYCLONES
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Estimating TC structure parameters via passive microwave imagery
5 December 2014
Diagnosis of TC inner-core wind structure
Using a two-dimensional (2D) aircraft reconnaissance wind field analysis dataset described in Knaff et al. (2014) a multiple linear regression model has been developed to relate the azimuthal wavenumber 0-2 amplitudes and phases of the 2D wind fields to a variety of parameters, including the storm’s current intensity, position, and motion and the principle components of the 2D empirical orthogonal functions (EOFs) describing the structures in the MI dataset
This model thereby estimates the inner-core wind structure from MI imagery.
EIGHTH INTERNATIONAL WORKSHOP ON TROPICAL CYCLONES
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Estimating TC structure parameters via passive microwave imagery
5 December 2014
Example results
Intensity = 95 kt
Caption. (left) TMI polarization corrected temperatures (K) (37 GHz) of Hurricane Katrina (2005) at 0400 UTC 27 August. Missing data are seen in this image where there is land and in the northeast due to the region falling outside of the satellite swath. (right) Model diagnosed flight-level tangential winds (kt) associated with the 37-GHz MI at left.
246@7 kt
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Related Recommendations5 December 2014
Research studies dedicated to using MI to diagnose and predict TC intensity and structure should continue to be supported
Research to operations should be facilitated in a timely manner to fully exploit current state-of-the-art forecasting techniques that benefit from the usage of MI
Maintenance of a robust fleet of low-earth orbiting satellites with passive microwave sensors should be continued.
EIGHTH INTERNATIONAL WORKSHOP ON TROPICAL CYCLONES
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Estimating TC structure from coastal radar
5 December 2014
Improve and automate objective estimate of TC circulation center
Important for tangential wind estimates/vortex characterization
Caption. Comparison of Hurricane Danny’s circulation centers. (a)–(b) Centers from the original GBVTD-simplex algorithm at heights 2–5 km, from top to bottom, respectively. (e)–(f) Centers from the objective statistical center-finding method. Solid black line indicates track derived from KLIX radar, and dashed gray line indicates track from KMOB radar. (Bell and Lee 2012)
EIGHTH INTERNATIONAL WORKSHOP ON TROPICAL CYCLONES
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Estimating TC structure from coastal radar
5 December 2014
Improve cross-vortex mean wind estimate
Harasti (2014) assumed the TC primary circulation follows a Rankine-combined vortex a hurricane VVP (HVVP) algorithm estimates the
full cross-vortex mean wind vector within 2 m/s accuracy while the radar is located beyond a distance of 2.5 times the RMW
Chen et al. (2013) proposed a Modified Ground-Based Velocity Track Display (GBVTD) or MGBVTD technique that combined the GBVTD and HVVP to further improve the accuracy of the retrieved TC primary circulation. The MGBVTD-retrieved mean wind vector and
primary circulation were within 2 m/s compared with those derived from airborne pseudo-dual-Doppler analysis in Hurricane Bret (1999)
EIGHTH INTERNATIONAL WORKSHOP ON TROPICAL CYCLONES
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Estimating TC structure from coastal radar
5 December 2014
Improve cross-vortex mean wind estimate
Caption. Ground-relative wind speed for Hurricane Bret at 2-km altitude MSL calculated from the (a),(c) KCRP CAPPI map and (b),(d)KBRO CAPPI map, by (top)GBVTD and (middle)MGBVTD using KCRP-retrieved mean wind as well as (e) MGBVTD using KBRO-retrieved mean wind.Duel
EIGHTH INTERNATIONAL WORKSHOP ON TROPICAL CYCLONES
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Estimating TC structure from coastal radar
5 December 2014
Problem: velocity folding occurs in Dopplar wind estimates De-aillising is time consuming but typically necessary Wang et al. (2012) proposed the Gradient Velocity Track
Display (GrVTD) technique that reformulates the GBVTD algorithm to directly ingest the aliased Doppler velocity field.
By dealing with Doppler velocity gradient, GrVTD is more sensitive to Data artifacts Data voids
The GrVTD produces good results when there is adequate data coverage, but input contains multiple velocity folds.
EIGHTH INTERNATIONAL WORKSHOP ON TROPICAL CYCLONES
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Related Recommendations5 December 2014
Support research to 1) overcome geometric distortion issues and 2) better estimate the asymmetric radial circulation in radar wind retrievals
Support research to better use polarimetric radar and biologic target information in radar wind retrievals
Continue to support efforts to assimilate radar data into models
EIGHTH INTERNATIONAL WORKSHOP ON TROPICAL CYCLONES
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Size and wind structure assessment from scatterometer data
5 December 2014
Several studies (Lee et al. 2010, Chen et al. 2011,Chan and Chan 2013) have used QuikSCAT wind vectors to study the evolution and behavior of TC wind structure, particularly 17m/s (34-kt) winds
EIGHTH INTERNATIONAL WORKSHOP ON TROPICAL CYCLONES
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Size and wind structure assessment from scatterometer data
5 December 2014
Method for data inclusion: I. TC must be at tropical storm intensity or above
(maximum sustained wind ≥ 17 m s-1) II. The TC center must be covered by the swath III. The distance between the TC center and the edge of the
swaths must be > 1° latitude IV. More than 50% of the TC circulation is covered by the
swath V. The TC circulation should have no extensive wind-
discontinuity problem VI. Azimuthally-averaged wind speed profile must reach 17
m s-1 or above after filtering all rain-flagged data VII. R17 is not close to any landmass VIII. Rain-flagged data are excluded
EIGHTH INTERNATIONAL WORKSHOP ON TROPICAL CYCLONES
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Size and wind structure assessment from scatterometer data
5 December 2014
Method for estimating TC size: The number of available (not rain-flagged) data points
in each ring belt must be > 5 without considering the wind directions.
The fraction of available data points to total data points in each ring belt must be ≥ 0.5.
It is assumed that a TC behaves like a Rankine vortex outside the radius of maximum winds, that is,
Solve for r, where v=17m/s
𝑣𝜃ሺ𝑟ሻ= 𝐶𝑟−𝑏
EIGHTH INTERNATIONAL WORKSHOP ON TROPICAL CYCLONES
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Results of these structure studies
5 December 2014
Correlation between size and intensity is weak TCs typically deviate from a size that is determined during
formation and synoptic origin often determines initial sizes Early intensification stages favor smaller storms and smaller
storms are more likely to undergo rapid intensification Composite IR brightness temperature shows that compact
tropical cyclones have highly axisymmetric convective structures with strong convection concentrated in a small region near the center
Changes in angular momentum (AM) transport in the upper and lower troposphere appear to be important factors that affect TC intensity and size Developing/strengthening (weakening) low-level environmental
anticyclones favors growth (decay) Poleward movement leads to growth
EIGHTH INTERNATIONAL WORKSHOP ON TROPICAL CYCLONES
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Importance of angular momentum5 December 2014
(a) Composite of the changes in lower-tropospheric (850-hPa) synoptic flow of the growing TCs within 24 hours. (b) As in (a) but for the shrinking TCs. (c) As in (a) but for the recurving and growing TCs. (d) As in (a) but for the recurving and shrinking TCs. Regions with dots denote that the changes in tangential or radial wind different from 0 have a confidence level higher than 90%.
(a) (b)
(c) (d)
EIGHTH INTERNATIONAL WORKSHOP ON TROPICAL CYCLONES
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Related Recommendations5 December 2014
Support of research to continue our understanding of TC size changes
Support of investments in future technology to estimate surface winds in the TC environment
Support efforts to automate the quantification TC size from scatterometry data and other near surface winds (i.e. fixes for operational centers).
EIGHTH INTERNATIONAL WORKSHOP ON TROPICAL CYCLONES
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Size and wind field inferred from infrared satellite-based observations
5 December 2014
In the last four years there have been renewed efforts to make improved use of routine IR satellite imagery. New techniques have been developed that estimate intensity, wind structure, and size.
EIGHTH INTERNATIONAL WORKSHOP ON TROPICAL CYCLONES
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Size and wind field inferred from infrared satellite-based observations
5 December 2014
Deviation Angle Variance Technique (DAV-T,Piñeros et al. 2011; Ritchie et al. 2012)
The calculation of the DAVfor an idealized infrared image of a perfectly axisymmetric tropicalcyclone: (a) IR image. (b) The calculated vector gradient field for the box indicated in (a) assuming thecenter pixel of the image is used as the reference pixel (filled circle, d). (c) Histogram of all deviationangles within a 350-km radius of the center pixel in (b). Because the image in (a) is perfectly axisymmetricand the pixel at the very center of the vortex is chosen as the reference pixel, all deviation angles are equal to zero. (d)–(f) As in (a)–(c), but using a different reference pixel.
EIGHTH INTERNATIONAL WORKSHOP ON TROPICAL CYCLONES
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Size and wind field inferred from infrared satellite-based observations
5 December 2014
From
Ritchie et al. (2014), top two
Ritchie et al (2012), bottom
EIGHTH INTERNATIONAL WORKSHOP ON TROPICAL CYCLONES
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Size and wind field inferred from infrared satellite-based observations
5 December 2014
Knaff et al. (2014)
Uses:
30 years of data
1-D IR principle components related to the tangential winds at 500 km radius
• 1-D IR EOFs
• Largest and smallest Hurricanes
Abe (1990) Kay (1998)
SmallestLargest
Non-majorhurricanes
Majorhurricanes
EIGHTH INTERNATIONAL WORKSHOP ON TROPICAL CYCLONES
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Size and wind field inferred from infrared satellite-based observations
5 December 2014
Dolling et al. (2014)
Using DAVT to estimate TC wind radii
EIGHTH INTERNATIONAL WORKSHOP ON TROPICAL CYCLONES
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Size and wind field inferred from infrared satellite-based observations
5 December 2014
Knaff et al. (2015)
Uses
IR 2-D priniciple components
Operational intensity and motion
An illustration of the steps taken to estimate the wind field. The progression is from left to right and then top to bottom. Imagery are mapped to a polar grid (1) and then rotated with respect to direction (2). Rotated imagery (via principle components), translation speed, latitude and intensity are then used to estimate the normalized wind field (3). The observed intensity is then applied to create a wind speed field (4). Finally the wind field is rotated back to its earth relative directional component (5). This case is from Hurricane Ike (2008) on September 12 at 1145 UTC
EIGHTH INTERNATIONAL WORKSHOP ON TROPICAL CYCLONES
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Related Recommendations5 December 2014
Support research (new and existing) efforts to use routine IR imagery to objectively diagnose TC structure, including intensity
Support routine best tracking of wind radii and other size parameters by operational and climatological centers
Support research and operational validation of these TC size/structure/wind radii estimation methods.
EIGHTH INTERNATIONAL WORKSHOP ON TROPICAL CYCLONES
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Thank you for your attention!!!
5 December 2014
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EIGHTH INTERNATIONAL WORKSHOP ON TROPICAL CYCLONES
Questions/Comments
5 December 2014