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Radar Basics and Estimating Precipitation Jon W. Zeitler Science and Operations Offic National Weather Service Austin/San Antonio Forecast Of

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Page 1: Radar Basics and Estimating Precipitation Jon W. Zeitler Science and Operations Officer National Weather Service Austin/San Antonio Forecast Office Science

Radar Basics and Estimating Precipitation Radar Basics and Estimating Precipitation

Jon W. ZeitlerJon W. Zeitler

Science and Operations OfficerNational Weather Service

Austin/San Antonio Forecast Office

Science and Operations OfficerNational Weather Service

Austin/San Antonio Forecast Office

Page 2: Radar Basics and Estimating Precipitation Jon W. Zeitler Science and Operations Officer National Weather Service Austin/San Antonio Forecast Office Science

Radar Beam BasicsRadar Beam Basics

Page 3: Radar Basics and Estimating Precipitation Jon W. Zeitler Science and Operations Officer National Weather Service Austin/San Antonio Forecast Office Science

As pulse volumes within the radar beam encounter targets, energy will be scattered in all directions. A very small portion of the intercepted energy will be backscattered toward the radar. The degree or amount of backscatter is determined by target:

size (radar cross section) shape (round, oblate, flat, etc.)

state (liquid, frozen, mixed, dry, wet) concentration (number of particles per unit volume)

We are concerned with two types of scattering, Rayleigh and non-Rayleigh. Rayleigh scattering occurs with targets whose diameter (D) is much smaller (D < /16) than the radar wavelength. The WSR-88D's wavelength is approximately 10.7 cm, so Rayleigh scattering occurs with targets whose diameters are less than or equal to about 7 mm or ~0.4 inch. Raindrops seldom exceed 7 mm so all liquid drops are Rayleigh scatters.

Potential problem: Nearly all hailstones are non-Rayleigh scatterers due to their larger diameters.  

As pulse volumes within the radar beam encounter targets, energy will be scattered in all directions. A very small portion of the intercepted energy will be backscattered toward the radar. The degree or amount of backscatter is determined by target:

size (radar cross section) shape (round, oblate, flat, etc.)

state (liquid, frozen, mixed, dry, wet) concentration (number of particles per unit volume)

We are concerned with two types of scattering, Rayleigh and non-Rayleigh. Rayleigh scattering occurs with targets whose diameter (D) is much smaller (D < /16) than the radar wavelength. The WSR-88D's wavelength is approximately 10.7 cm, so Rayleigh scattering occurs with targets whose diameters are less than or equal to about 7 mm or ~0.4 inch. Raindrops seldom exceed 7 mm so all liquid drops are Rayleigh scatters.

Potential problem: Nearly all hailstones are non-Rayleigh scatterers due to their larger diameters.  

Energy ScatteringEnergy Scattering

Page 4: Radar Basics and Estimating Precipitation Jon W. Zeitler Science and Operations Officer National Weather Service Austin/San Antonio Forecast Office Science

Probert-Jones Radar EquationProbert-Jones Radar Equation

Page 5: Radar Basics and Estimating Precipitation Jon W. Zeitler Science and Operations Officer National Weather Service Austin/San Antonio Forecast Office Science

Simplified Radar EquationSimplified Radar Equation

Page 6: Radar Basics and Estimating Precipitation Jon W. Zeitler Science and Operations Officer National Weather Service Austin/San Antonio Forecast Office Science

Since we technically don't know the drop-size distribution or physical makeup of all targets within a sample volume, radar meteorologists oftentimes refer to radar reflectivity as equivalent reflectivity, Ze.

The assumption is that all backscattered energy is coming from liquid targets whose diameters meet the Rayleigh approximation. Obviously, this assumption is invalid in those cases when large, water-coated hailstones are present in a sample volume. Hence, the term equivalent reflectivity instead of actual reflectivity is more valid.

Since we technically don't know the drop-size distribution or physical makeup of all targets within a sample volume, radar meteorologists oftentimes refer to radar reflectivity as equivalent reflectivity, Ze.

The assumption is that all backscattered energy is coming from liquid targets whose diameters meet the Rayleigh approximation. Obviously, this assumption is invalid in those cases when large, water-coated hailstones are present in a sample volume. Hence, the term equivalent reflectivity instead of actual reflectivity is more valid.

Equivalent Reflectivity (Ze)Equivalent Reflectivity (Ze)

Page 7: Radar Basics and Estimating Precipitation Jon W. Zeitler Science and Operations Officer National Weather Service Austin/San Antonio Forecast Office Science

                                  (Equation 5) Reflectivity (Z) vs.Decibels of Reflrectivity (dBZ)

Reflectivity (Z) vs.Decibels of Reflrectivity (dBZ)

dBZ = 10log10ZdBZ = 10log10Z

Page 8: Radar Basics and Estimating Precipitation Jon W. Zeitler Science and Operations Officer National Weather Service Austin/San Antonio Forecast Office Science

Beam-FillingBeam-Filling

Page 9: Radar Basics and Estimating Precipitation Jon W. Zeitler Science and Operations Officer National Weather Service Austin/San Antonio Forecast Office Science

Sending vs. ListeningSending vs. Listening

Page 10: Radar Basics and Estimating Precipitation Jon W. Zeitler Science and Operations Officer National Weather Service Austin/San Antonio Forecast Office Science

Sending vs. ListeningSending vs. Listening

99.843% of the time the WSR-88D is listening for signal returns. 99.843% of the time the WSR-88D is listening for signal returns.

Page 11: Radar Basics and Estimating Precipitation Jon W. Zeitler Science and Operations Officer National Weather Service Austin/San Antonio Forecast Office Science

A low PRF is desirable for target range and power, while a high PRF is desirable for target velocity. The inability to satisfy both needs with a single PRF is known as the Doppler Dilemma. The Doppler Dilemma is addressed by the WSR-88D with algorithms.

A low PRF is desirable for target range and power, while a high PRF is desirable for target velocity. The inability to satisfy both needs with a single PRF is known as the Doppler Dilemma. The Doppler Dilemma is addressed by the WSR-88D with algorithms.

The Doppler DilemnaThe Doppler Dilemna

Page 12: Radar Basics and Estimating Precipitation Jon W. Zeitler Science and Operations Officer National Weather Service Austin/San Antonio Forecast Office Science

Range FoldingRange Folding

Page 13: Radar Basics and Estimating Precipitation Jon W. Zeitler Science and Operations Officer National Weather Service Austin/San Antonio Forecast Office Science

Subrefraction: dry adiabatic, moisture increases with height. In addition to underestimated echo heights, this phenomenon tends to reduce ground clutter in the lowest elevation cuts.

Superrefraction: temperature inversion. In addition to overestimated echo heights, increases ground clutter in the lowest elevation cuts and is the cause of what we normally refer to as anomalous propagation or AP echoes.

Subrefraction: dry adiabatic, moisture increases with height. In addition to underestimated echo heights, this phenomenon tends to reduce ground clutter in the lowest elevation cuts.

Superrefraction: temperature inversion. In addition to overestimated echo heights, increases ground clutter in the lowest elevation cuts and is the cause of what we normally refer to as anomalous propagation or AP echoes.

Page 14: Radar Basics and Estimating Precipitation Jon W. Zeitler Science and Operations Officer National Weather Service Austin/San Antonio Forecast Office Science

The Earth is Round!The Earth is Round!

Page 15: Radar Basics and Estimating Precipitation Jon W. Zeitler Science and Operations Officer National Weather Service Austin/San Antonio Forecast Office Science

Each pulse has a volume with dimensions of ~ 500 meters (~ 1500 meters) in length by ~ 1° wide in short pulse (long pulse) mode. This means that two targets along a radial must be at least 250 (750) meters apart for the radar to be able to distinguish and display them as two separate targets (i.e., more than H/2 range separation distance).

Each pulse has a volume with dimensions of ~ 500 meters (~ 1500 meters) in length by ~ 1° wide in short pulse (long pulse) mode. This means that two targets along a radial must be at least 250 (750) meters apart for the radar to be able to distinguish and display them as two separate targets (i.e., more than H/2 range separation distance).

Storms Too Close!Storms Too Close!

Page 16: Radar Basics and Estimating Precipitation Jon W. Zeitler Science and Operations Officer National Weather Service Austin/San Antonio Forecast Office Science

Storms or Bats?Storms or Bats?

Page 17: Radar Basics and Estimating Precipitation Jon W. Zeitler Science and Operations Officer National Weather Service Austin/San Antonio Forecast Office Science

Strategies to Fix ProblemsStrategies to Fix Problems

Page 18: Radar Basics and Estimating Precipitation Jon W. Zeitler Science and Operations Officer National Weather Service Austin/San Antonio Forecast Office Science

Drop Size DistributionDrop Size Distribution

Page 19: Radar Basics and Estimating Precipitation Jon W. Zeitler Science and Operations Officer National Weather Service Austin/San Antonio Forecast Office Science

Drop Size DistributionDrop Size Distribution

Page 20: Radar Basics and Estimating Precipitation Jon W. Zeitler Science and Operations Officer National Weather Service Austin/San Antonio Forecast Office Science

Rainfall RateRainfall Rate

Page 21: Radar Basics and Estimating Precipitation Jon W. Zeitler Science and Operations Officer National Weather Service Austin/San Antonio Forecast Office Science

Rainfall RateRainfall Rate

Page 22: Radar Basics and Estimating Precipitation Jon W. Zeitler Science and Operations Officer National Weather Service Austin/San Antonio Forecast Office Science

Rainfall RateRainfall Rate

Page 23: Radar Basics and Estimating Precipitation Jon W. Zeitler Science and Operations Officer National Weather Service Austin/San Antonio Forecast Office Science
Page 24: Radar Basics and Estimating Precipitation Jon W. Zeitler Science and Operations Officer National Weather Service Austin/San Antonio Forecast Office Science
Page 25: Radar Basics and Estimating Precipitation Jon W. Zeitler Science and Operations Officer National Weather Service Austin/San Antonio Forecast Office Science
Page 26: Radar Basics and Estimating Precipitation Jon W. Zeitler Science and Operations Officer National Weather Service Austin/San Antonio Forecast Office Science

R(Z) Relationships (Battan 1973)

Page 27: Radar Basics and Estimating Precipitation Jon W. Zeitler Science and Operations Officer National Weather Service Austin/San Antonio Forecast Office Science
Page 28: Radar Basics and Estimating Precipitation Jon W. Zeitler Science and Operations Officer National Weather Service Austin/San Antonio Forecast Office Science
Page 29: Radar Basics and Estimating Precipitation Jon W. Zeitler Science and Operations Officer National Weather Service Austin/San Antonio Forecast Office Science
Page 30: Radar Basics and Estimating Precipitation Jon W. Zeitler Science and Operations Officer National Weather Service Austin/San Antonio Forecast Office Science
Page 31: Radar Basics and Estimating Precipitation Jon W. Zeitler Science and Operations Officer National Weather Service Austin/San Antonio Forecast Office Science
Page 32: Radar Basics and Estimating Precipitation Jon W. Zeitler Science and Operations Officer National Weather Service Austin/San Antonio Forecast Office Science
Page 33: Radar Basics and Estimating Precipitation Jon W. Zeitler Science and Operations Officer National Weather Service Austin/San Antonio Forecast Office Science
Page 34: Radar Basics and Estimating Precipitation Jon W. Zeitler Science and Operations Officer National Weather Service Austin/San Antonio Forecast Office Science
Page 35: Radar Basics and Estimating Precipitation Jon W. Zeitler Science and Operations Officer National Weather Service Austin/San Antonio Forecast Office Science
Page 36: Radar Basics and Estimating Precipitation Jon W. Zeitler Science and Operations Officer National Weather Service Austin/San Antonio Forecast Office Science
Page 37: Radar Basics and Estimating Precipitation Jon W. Zeitler Science and Operations Officer National Weather Service Austin/San Antonio Forecast Office Science
Page 38: Radar Basics and Estimating Precipitation Jon W. Zeitler Science and Operations Officer National Weather Service Austin/San Antonio Forecast Office Science
Page 39: Radar Basics and Estimating Precipitation Jon W. Zeitler Science and Operations Officer National Weather Service Austin/San Antonio Forecast Office Science
Page 40: Radar Basics and Estimating Precipitation Jon W. Zeitler Science and Operations Officer National Weather Service Austin/San Antonio Forecast Office Science
Page 41: Radar Basics and Estimating Precipitation Jon W. Zeitler Science and Operations Officer National Weather Service Austin/San Antonio Forecast Office Science
Page 42: Radar Basics and Estimating Precipitation Jon W. Zeitler Science and Operations Officer National Weather Service Austin/San Antonio Forecast Office Science
Page 43: Radar Basics and Estimating Precipitation Jon W. Zeitler Science and Operations Officer National Weather Service Austin/San Antonio Forecast Office Science
Page 44: Radar Basics and Estimating Precipitation Jon W. Zeitler Science and Operations Officer National Weather Service Austin/San Antonio Forecast Office Science
Page 45: Radar Basics and Estimating Precipitation Jon W. Zeitler Science and Operations Officer National Weather Service Austin/San Antonio Forecast Office Science
Page 46: Radar Basics and Estimating Precipitation Jon W. Zeitler Science and Operations Officer National Weather Service Austin/San Antonio Forecast Office Science
Page 47: Radar Basics and Estimating Precipitation Jon W. Zeitler Science and Operations Officer National Weather Service Austin/San Antonio Forecast Office Science

BREAK!BREAK!

Page 48: Radar Basics and Estimating Precipitation Jon W. Zeitler Science and Operations Officer National Weather Service Austin/San Antonio Forecast Office Science

Sends and receives horizontal & vertical polarized radiation

Sends and receives horizontal & vertical polarized radiation

Image courtesy Terry SchuurImage courtesy Terry Schuur

What is Dual Polarimetric Radar?What is Dual Polarimetric Radar?

Page 49: Radar Basics and Estimating Precipitation Jon W. Zeitler Science and Operations Officer National Weather Service Austin/San Antonio Forecast Office Science

Hydrometeor:Hydrometeor:

• ShapeShape

• OrientationOrientation

• Dielectric constantDielectric constant

• Distribution of sizesDistribution of sizes

Polarimetric Variables Depend Polarimetric Variables Depend on Several Thingson Several Things

Polarimetric Variables Depend Polarimetric Variables Depend on Several Thingson Several Things

Page 50: Radar Basics and Estimating Precipitation Jon W. Zeitler Science and Operations Officer National Weather Service Austin/San Antonio Forecast Office Science

•Rainfall Estimation (vast improvement)Rainfall Estimation (vast improvement)•Bright Band Detection (vast improvement)Bright Band Detection (vast improvement)•Clutter Filtering/Data Quality Improvement Clutter Filtering/Data Quality Improvement (vast improvement)(vast improvement)•Rain/Snow Discrimination (vast improvement)Rain/Snow Discrimination (vast improvement)•Hail Detection (some improvement)Hail Detection (some improvement)•Updraft Location (some improvement)Updraft Location (some improvement)•Tornado Detection (some improvement)Tornado Detection (some improvement)

•Rainfall Estimation (vast improvement)Rainfall Estimation (vast improvement)•Bright Band Detection (vast improvement)Bright Band Detection (vast improvement)•Clutter Filtering/Data Quality Improvement Clutter Filtering/Data Quality Improvement (vast improvement)(vast improvement)•Rain/Snow Discrimination (vast improvement)Rain/Snow Discrimination (vast improvement)•Hail Detection (some improvement)Hail Detection (some improvement)•Updraft Location (some improvement)Updraft Location (some improvement)•Tornado Detection (some improvement)Tornado Detection (some improvement)

Applications of Dual Applications of Dual Polarization RadarPolarization Radar

Applications of Dual Applications of Dual Polarization RadarPolarization Radar

Page 51: Radar Basics and Estimating Precipitation Jon W. Zeitler Science and Operations Officer National Weather Service Austin/San Antonio Forecast Office Science

Backscattering:Backscattering:ZZhh - reflectivity factor for horizontal polarization - reflectivity factor for horizontal polarization

ZZDRDR - differential reflectivity - differential reflectivity

||ρρhvhv(0)| - co-polar correlation coefficient(0)| - co-polar correlation coefficient

Propagation - forward scattering:Propagation - forward scattering:ΦΦDPDP - differential phase - differential phase

KKDPDP - specific differential phase (range derivative of - specific differential phase (range derivative of

ΦΦDPDP))

Backscattering:Backscattering:ZZhh - reflectivity factor for horizontal polarization - reflectivity factor for horizontal polarization

ZZDRDR - differential reflectivity - differential reflectivity

||ρρhvhv(0)| - co-polar correlation coefficient(0)| - co-polar correlation coefficient

Propagation - forward scattering:Propagation - forward scattering:ΦΦDPDP - differential phase - differential phase

KKDPDP - specific differential phase (range derivative of - specific differential phase (range derivative of

ΦΦDPDP))

Polarimetric VariablesPolarimetric VariablesPolarimetric VariablesPolarimetric Variables

Page 52: Radar Basics and Estimating Precipitation Jon W. Zeitler Science and Operations Officer National Weather Service Austin/San Antonio Forecast Office Science

Shapes of Large Drops in Equilibrium Shapes of Large Drops in Equilibrium

Page 53: Radar Basics and Estimating Precipitation Jon W. Zeitler Science and Operations Officer National Weather Service Austin/San Antonio Forecast Office Science

Differential Reflectivity (ZDR)

• Definition: the ratio of the power returns from the horizontal and vertical polarizations

• Units: decibels (dB)

vv

hhDR Z

ZZ 10log10

Page 54: Radar Basics and Estimating Precipitation Jon W. Zeitler Science and Operations Officer National Weather Service Austin/San Antonio Forecast Office Science

Simple ZDR Calculation for a Sample of Raindrop Sizes

Simple ZDR Calculation for a Sample of Raindrop Sizes

Page 55: Radar Basics and Estimating Precipitation Jon W. Zeitler Science and Operations Officer National Weather Service Austin/San Antonio Forecast Office Science

What does ZDR Mean?

• ZDR > 0 Horizontally-oriented mean profile

• ZDR < 0 Vertically-oriented mean profile

• ZDR ~ 0 Near-spherical mean profile

• ZDR > 0 Horizontally-oriented mean profile

• ZDR < 0 Vertically-oriented mean profile

• ZDR ~ 0 Near-spherical mean profile

Eh

Ev

Eh

Ev

Eh

Ev

Page 56: Radar Basics and Estimating Precipitation Jon W. Zeitler Science and Operations Officer National Weather Service Austin/San Antonio Forecast Office Science

-4-4 -3.5-3.5 -3-3 -2.5-2.5 -2-2 -1.5-1.5 -1-1 -0.5-0.5 00 0.50.5 11 1.51.5 22 2.52.5 33 3.53.5 44 4.54.5 55 5.55.5 66

                                                              

                     Small (Spherical) <<< RAIN >>> Large (Oblate)      

                     Dry <<< GRAUPEL >>> Wet               

            Dry (Prolate) <<<<< HAIL >>>>> Melting (Oblate)      

                  Aggregated/Low-Density <<< CRYSTALS >>> Pristine/Well-Oriented

                       Dry <<< SNOW >>> Wet               

GROUND CLUTTER / ANOMALOUS PROPAGATION                   

            BIOLOGICAL SCATTERERS

                     DEBRIS                   

                           CHAFF

                                                              

Differential Reflectivity (ZDR)Differential Reflectivity (ZDR)

Page 57: Radar Basics and Estimating Precipitation Jon W. Zeitler Science and Operations Officer National Weather Service Austin/San Antonio Forecast Office Science

1.1. median liquid drop sizemedian liquid drop size (ZDR↑,median drop diameter↑)

2.2. hail shaftshail shafts (ZDR ~ 0dB or negative coincident with high Zh)

3. areas of large rain drops or liquid-large rain drops or liquid-coated icecoated ice (ZDR ~3-6 dB)

4.4. convective updraftsconvective updrafts (ZDR ~1-5 dB) above 0oC level

5. tornado debris ball

ZDR is a Good Indicator of:ZDR is a Good Indicator of:

Page 58: Radar Basics and Estimating Precipitation Jon W. Zeitler Science and Operations Officer National Weather Service Austin/San Antonio Forecast Office Science

•Values are biased towards the larger hydrometeors (D6 dependence)•Tumbling/Random orientation will bias toward 0 ZDR

•Can be noisy if:-Low / Insufficient sampling (low SNR)

- Reduced correlation coefficient (CC)

•Values are biased towards the larger hydrometeors (D6 dependence)•Tumbling/Random orientation will bias toward 0 ZDR

•Can be noisy if:-Low / Insufficient sampling (low SNR)

- Reduced correlation coefficient (CC)

ZDR Limitations (Gotchas)ZDR Limitations (Gotchas)

Page 59: Radar Basics and Estimating Precipitation Jon W. Zeitler Science and Operations Officer National Weather Service Austin/San Antonio Forecast Office Science
Page 60: Radar Basics and Estimating Precipitation Jon W. Zeitler Science and Operations Officer National Weather Service Austin/San Antonio Forecast Office Science

May 9th tornadic supercell: Intense

ZDR Column

0oC level in-cloud ~17 kft

Page 61: Radar Basics and Estimating Precipitation Jon W. Zeitler Science and Operations Officer National Weather Service Austin/San Antonio Forecast Office Science

ρhv

Affected by:

• Hydrometeor types, phases, shapes,

orientations

• Presence of large hail

Correlation Coefficient (ρ hv): A correlation between the reflected horizontal and vertical power returns. It is a good indicator of regions where there is a mixture of precipitation types, such as rain and snow.

Page 62: Radar Basics and Estimating Precipitation Jon W. Zeitler Science and Operations Officer National Weather Service Austin/San Antonio Forecast Office Science
Page 63: Radar Basics and Estimating Precipitation Jon W. Zeitler Science and Operations Officer National Weather Service Austin/San Antonio Forecast Office Science

ρhv Usage

• Identify hail growth regions in deep moist convection (mixtures of hydrometeors)

• Reduce ground clutter/AP contamination (ρhv very low in these areas)

• Identify giant hail ???

Page 64: Radar Basics and Estimating Precipitation Jon W. Zeitler Science and Operations Officer National Weather Service Austin/San Antonio Forecast Office Science

ρhv

Correlation Coefficient Correlation Coefficient ((hvhv))

Reflectivity (ZReflectivity (Zhh))

SNOW~0.85-1.00

CLUTTER~0.5-0.85

CHAFF~0.2-0.5

Page 65: Radar Basics and Estimating Precipitation Jon W. Zeitler Science and Operations Officer National Weather Service Austin/San Antonio Forecast Office Science

Giant Hail, Protuberances, Mie Scattering: min Giant Hail, Protuberances, Mie Scattering: min ρρhvhv

ρhv Minimum…in Theory

Page 66: Radar Basics and Estimating Precipitation Jon W. Zeitler Science and Operations Officer National Weather Service Austin/San Antonio Forecast Office Science

Differential Phase Shift (ΦDP)

• Definition: the difference in the phase shift between the horizontally and vertically polarized waves

• Units: degrees (o)

VHDP

Page 67: Radar Basics and Estimating Precipitation Jon W. Zeitler Science and Operations Officer National Weather Service Austin/San Antonio Forecast Office Science

DP = h – v (h, v ≥ 0) [deg]

The difference in phase between the horizontally-and vertically-polarized pulses at a given range along the propagation path.

- Independent of partial beam blockage, attenuation, absolute radar calibration,

system noise

Differential Phase Shift DP

Page 68: Radar Basics and Estimating Precipitation Jon W. Zeitler Science and Operations Officer National Weather Service Austin/San Antonio Forecast Office Science

What Affects Differential Phase?

Page 69: Radar Basics and Estimating Precipitation Jon W. Zeitler Science and Operations Officer National Weather Service Austin/San Antonio Forecast Office Science

Forward Propagation has its Advantages

• Immune to partial (< 40%) beam blockage, attenuation, calibration, presence of hail

Gradients Most ImportantGradients Most Important

Page 70: Radar Basics and Estimating Precipitation Jon W. Zeitler Science and Operations Officer National Weather Service Austin/San Antonio Forecast Office Science

Specific Differential Phase Shift (KDP)

• Definition: range derivative of the differential phase shift

• Units: degrees per kilometer (o/km)

12

12

2)()(

rrrr

K DPDP

DP

Page 71: Radar Basics and Estimating Precipitation Jon W. Zeitler Science and Operations Officer National Weather Service Austin/San Antonio Forecast Office Science

• Provides a good estimate of liquid water in a rain/hail mixture

• Indicates the onset of melting

Specific Differential Phase (KDP): A comparison of the returned phase difference between the horizontal and vertical pulses. This phase difference is caused by the difference in the number of wave cycles (or wavelengths) along the propagation path for horizontal and

vertically polarized waves. This is the range derivative of DP,

typically calculated in 1-5 km increments along the radial.

Specific Differential Phase: KDP

Page 72: Radar Basics and Estimating Precipitation Jon W. Zeitler Science and Operations Officer National Weather Service Austin/San Antonio Forecast Office Science

Specific Differential Phase Shift (KDP)

*** Non-meteorological values not shown here because they are removed anywhere CC < 0.90 (or 0.85) ****** Non-meteorological values not shown here because they are removed anywhere CC < 0.90 (or 0.85) ***

-0.5-0.5 00 0.50.5 11 1.51.5 22 2.52.5 33 44 55

                             

   Small <<< RAIN >>> Large      

Dry <<< GRAUPEL >>> Wet            

Dry (Prolate) <<<<< HAIL >>>>> Melting (Oblate)

Dry/Aggregated <<< CRYSTALS >>> Pristine/Well-Oriented            

   Dry <<< SNOW >>> Wet            

                             

Page 73: Radar Basics and Estimating Precipitation Jon W. Zeitler Science and Operations Officer National Weather Service Austin/San Antonio Forecast Office Science

Kdp Usage

• To isolate the presence of rain from hail R(Z, Zdr, Kdp) much better than R(Z) Most sensitive to amount of liquid water

• To locate regions of drop shedding, “Kdp columns”• Drops are shed from melting or growing

hailstones near the updraft, forming a Kdp column

• To distinguish between snow/rain• Kdp in wet, heavy snow is almost always larger at

a fixed value of Zh than that observed for rain

Page 74: Radar Basics and Estimating Precipitation Jon W. Zeitler Science and Operations Officer National Weather Service Austin/San Antonio Forecast Office Science

KDP Limitations (Gotchas)• KDP values set to “No Data” at CC <

0.90, or 0.85)• Sensitive to non-uniform beam filling• Unreliable at far ranges

• KDP Smoothing techinque:KDP Smoothing techinque:

1. < 40 dBZ, KDP computed at each gate from 12 adjacent gates either side (6.25 km)

2. > 40 dBZ, KDP computed at each gate from 4 adjacent gates either side (2.25 km) to preserve heavy cores

1. < 40 dBZ, KDP computed at each gate from 12 adjacent gates either side (6.25 km)

2. > 40 dBZ, KDP computed at each gate from 4 adjacent gates either side (2.25 km) to preserve heavy cores

Compare Z and KDP fields at each gate

Page 75: Radar Basics and Estimating Precipitation Jon W. Zeitler Science and Operations Officer National Weather Service Austin/San Antonio Forecast Office Science

Marginally Severe Supercell

Page 76: Radar Basics and Estimating Precipitation Jon W. Zeitler Science and Operations Officer National Weather Service Austin/San Antonio Forecast Office Science

Beam Height ~ 4600 ft AGLBeam Height ~ 4600 ft AGL

ZZZDRZDR

ρHVρHVHCAHCA

5.25” diameter hail5.25” diameter hail

14 May 2003

Page 77: Radar Basics and Estimating Precipitation Jon W. Zeitler Science and Operations Officer National Weather Service Austin/San Antonio Forecast Office Science

Correlation Coefficient (CC)

• Definition: how similarly the horizontally and vertically polarized backscattered energy are behaving within a resolution volume for Rayleigh scattering

• Units: none (0-1.00)

2/122/12

*

)0(vvhh

hhvv

HV

SS

SS

ThinkThink Spectrum Width for HydrometeorsSpectrum Width for HydrometeorsTMTMThinkThink Spectrum Width for HydrometeorsSpectrum Width for HydrometeorsTMTM

Sij = An element of the backscatter matrix

Page 78: Radar Basics and Estimating Precipitation Jon W. Zeitler Science and Operations Officer National Weather Service Austin/San Antonio Forecast Office Science

Correlation Coefficient Values

•0.96 ≤ CC ≤ 1 Small hydrometeor diversity*

•0.80 ≤ CC < 0.96 Large hydrometeor diversity*

•CC < 0.70 Non-hydrometeors present

•0.96 ≤ CC ≤ 1 Small hydrometeor diversity*

•0.80 ≤ CC < 0.96 Large hydrometeor diversity*

•CC < 0.70 Non-hydrometeors present

* Types, sizes, shapes, orientations, etc.* Types, sizes, shapes, orientations, etc.

Page 79: Radar Basics and Estimating Precipitation Jon W. Zeitler Science and Operations Officer National Weather Service Austin/San Antonio Forecast Office Science

Correlation Coefficient (CC)

Non-Meteorological

Regime

Meteorological Regime

Overlap

0.20.2 0.30.3 0.40.4 0.50.5 0.60.6 0.70.7 0.80.8 0.850.85 0.90.9 0.910.91 0.920.92 0.930.93 0.940.94 0.950.95 0.960.96 0.970.97 0.980.98 0.990.99 11

                                                        

                                       Large <<< RAIN >>> SmallLarge <<< RAIN >>> Small

                                       Wet <<< GRAUPEL >>> DryWet <<< GRAUPEL >>> Dry   

               Wet / Large <<<<< HAIL >>>>> Dry / SmallWet / Large <<<<< HAIL >>>>> Dry / Small

                                       CRYSTALSCRYSTALS

         <<Melting Layer>> Wet <<< SNOW >>> Dry<<Melting Layer>> Wet <<< SNOW >>> Dry

GROUND CLUTTER / ANOMALOUS PROPAGATIONGROUND CLUTTER / ANOMALOUS PROPAGATION                              

        BIOLOGICAL BIOLOGICAL SCATTERERSSCATTERERS                                    

DEBRISDEBRIS                              

CHAFFCHAFF                                             

                                                        

Page 80: Radar Basics and Estimating Precipitation Jon W. Zeitler Science and Operations Officer National Weather Service Austin/San Antonio Forecast Office Science

What is CC Used for?

• Not-met targets (LOW CC < 0.70)

– Best discriminator

• Melting layer detection (Ring of reduced CC ~ 0.80 – 0.95)

• Giant hail? (LOW CC < 0.70 in the midst of high Z/Low ZDR)

Page 81: Radar Basics and Estimating Precipitation Jon W. Zeitler Science and Operations Officer National Weather Service Austin/San Antonio Forecast Office Science

Marginally Severe Supercell

What about the rest?All > 0.97

What about the rest?All > 0.97

InsectsInsectsPrecipPrecip

Page 82: Radar Basics and Estimating Precipitation Jon W. Zeitler Science and Operations Officer National Weather Service Austin/San Antonio Forecast Office Science

CC Limitations (Gotchas)

• High error in low signal-to-noise ratios (SNR)

• If low, errors increase in other dual-pol variables

Page 83: Radar Basics and Estimating Precipitation Jon W. Zeitler Science and Operations Officer National Weather Service Austin/San Antonio Forecast Office Science

One hour point measurements: Radar estimates vs. gages

R(Z) R(Z, KDP, ZDR)

Polarimetric Rainfall Algorithm vs. Conventional

Page 84: Radar Basics and Estimating Precipitation Jon W. Zeitler Science and Operations Officer National Weather Service Austin/San Antonio Forecast Office Science

Polarimetric Rainfall Algorithm vs. Conventional

Bias of radar areal rainfall estimates

Spring hail cases

Cold season stratiform rain

Page 85: Radar Basics and Estimating Precipitation Jon W. Zeitler Science and Operations Officer National Weather Service Austin/San Antonio Forecast Office Science

QPE Process in a NutshellStep 1

1. Hybrid scan the variables into Polar, 1 degree azimuth, 250 m bins

Hybrid Hydroclass

Page 86: Radar Basics and Estimating Precipitation Jon W. Zeitler Science and Operations Officer National Weather Service Austin/San Antonio Forecast Office Science

QPE Process in a Nutshell

2. Apply an instantaneous Rate: R(Z), R(KDP), and R(Z,ZDR)

But which one is accepted?

ZZR714.0

017.0)(

)(0.44)(882.0

KDPsignKDPR KDP

ZDRZZDRZR67.1770.0

0142.0),(

Page 87: Radar Basics and Estimating Precipitation Jon W. Zeitler Science and Operations Officer National Weather Service Austin/San Antonio Forecast Office Science

QPE Process in a Nutshell

3. Assign a variation of 1 of those 3 rates to each bin based on HCA precip type

Based on 43 events (179 hrs) of radar rainfall data

comparisons to a dense network of rain gauges in C. OK

Based on 43 events (179 hrs) of radar rainfall data

comparisons to a dense network of rain gauges in C. OK

Page 88: Radar Basics and Estimating Precipitation Jon W. Zeitler Science and Operations Officer National Weather Service Austin/San Antonio Forecast Office Science

Rate Designation TableR (mm/hr) Conditions Echo

Classes

Notcomputed

Nonmeteorological echo (Ground Clutter or Unknown) is classified GC ,UK

0 Classification is No Echo or Biological NE, BI

R(Z, ZDR) Light/Moderate Rain is classified RA

R(Z, ZDR) Heavy Rain or Big Drops are classified HR, BD

R(KDP) Rain/Hail is classified and echo is below the top of the melting layer RH

0.8*R(Z) Rain/Hail is classified and echo is above the top of the melting layer RH

0.8*R(Z) Graupel is classified GR

0.6*R(Z) Wet Snow is classified WS

R(Z) Dry Snow is classified and echo is in or below the top of the melting layer

DS

2.8*R(Z) Dry Snow classified and is echo above the top of the melting layer DS

2.8*R(Z) Ice Crystals are classified IC

Page 89: Radar Basics and Estimating Precipitation Jon W. Zeitler Science and Operations Officer National Weather Service Austin/San Antonio Forecast Office Science

QPE Output (all produced via hybrid scan)

• 4bit, 250 m Hybrid-scan Hydro Class• 8bit, 250 m Rate• 4 bit, 250 m 1hr Accum• 4 bit & 8bit versions of 250 m STP Accum (G-R

bias applied)• 8 bit, 250 m no G-R bias applied STP• 8 bit, 250 m User Selectable (will be used for any

and all accumulation time periods)• 8 bit, 250 m 1hr and STP Difference field vs.

Legacy

Page 90: Radar Basics and Estimating Precipitation Jon W. Zeitler Science and Operations Officer National Weather Service Austin/San Antonio Forecast Office Science

• Typical Radar sampling limitations (snow at 2000 ft AGL may not be snow at the surface)

• Verification

• “Fuzzy” Logic and cross over between types

• Differentiating between light rain and dry snow in weak echoes

Melting layer detection can help

• Typical Radar sampling limitations (snow at 2000 ft AGL may not be snow at the surface)

• Verification

• “Fuzzy” Logic and cross over between types

• Differentiating between light rain and dry snow in weak echoes

Melting layer detection can help

Hydrometeor Classification Algorithm Hydrometeor Classification Algorithm ChallengesChallenges

Hydrometeor Classification Algorithm Hydrometeor Classification Algorithm ChallengesChallenges

Page 91: Radar Basics and Estimating Precipitation Jon W. Zeitler Science and Operations Officer National Weather Service Austin/San Antonio Forecast Office Science

Melting Layer Detection

• Mixed phase hydrometeors: Easy detection for dual-pol!– Z typically increases

– ZDR and KDP definitely increase

– Coexistence of ice and water will reduce the correlation coefficient (CC ~0.95-0.85)

Page 92: Radar Basics and Estimating Precipitation Jon W. Zeitler Science and Operations Officer National Weather Service Austin/San Antonio Forecast Office Science

• Precipitation echoes – stratiform or convective regions – with high SNR

• Middle tilts (4°-10° elevation angles)

• Limitation: Overshoot precip

• “Project” results to other tilts in time and space

• Precipitation echoes – stratiform or convective regions – with high SNR

• Middle tilts (4°-10° elevation angles)

• Limitation: Overshoot precip

• “Project” results to other tilts in time and space

Melting Layer Detection Algorithm Melting Layer Detection Algorithm MethodologyMethodology

Melting Layer Detection Algorithm Melting Layer Detection Algorithm MethodologyMethodology

Page 93: Radar Basics and Estimating Precipitation Jon W. Zeitler Science and Operations Officer National Weather Service Austin/San Antonio Forecast Office Science

ML Product in AWIPS

Page 94: Radar Basics and Estimating Precipitation Jon W. Zeitler Science and Operations Officer National Weather Service Austin/San Antonio Forecast Office Science

Hail Detection• Dual-Pol Hail Signature

– High Z (> 45 dBZ)– Low ZDR (-0.5 to 1 dB), Low KDP (-0.5 to

1 o/km) if dry or mostly dry– Reduced CC (0.85 to 0.95)

• Limitations– Size detection?– Hail signatures may get diluted by

• Rain mixing with hail• Far range

Page 95: Radar Basics and Estimating Precipitation Jon W. Zeitler Science and Operations Officer National Weather Service Austin/San Antonio Forecast Office Science

Rain/Snow DiscriminationRAINRAIN SNOWSNOW

ZZ < 45 dBZ< 45 dBZ < 45 dBZ< 45 dBZ

ZZDRDR 0 to 2 dB0 to 2 dB -0.5 to 6 dB-0.5 to 6 dB

KKDPDP 0 to 0.6 deg/km0 to 0.6 deg/km -0.6 to 1 deg/km-0.6 to 1 deg/km

CCCC >0.95>0.95 >0.95 (can be less if >0.95 (can be less if wet)wet)

If the variables overlap so much, how can polarimetric radar discriminate between rain and snow???

Page 96: Radar Basics and Estimating Precipitation Jon W. Zeitler Science and Operations Officer National Weather Service Austin/San Antonio Forecast Office Science

Rain/Snow Discrimination: It’s all in trends with height

• Rain– Polarimetric signatures (ZDR and KDP) have a direct

dependence on Z– ZDR and KDP do not typically increase with height– Almost always a pronounced melting layer above rain

• Snow– Polarimetric signatures (ZDR and KDP) do not have

dependence on Z– ZDR and KDP typically increase with height– Differences between “warm” and “cold” snow

• “Cold” snow has higher polarimetric variables than “warm” snow

Page 97: Radar Basics and Estimating Precipitation Jon W. Zeitler Science and Operations Officer National Weather Service Austin/San Antonio Forecast Office Science

Warm vs. Cold vs. Wet Snow

• Temperature determines this– < -5oC = “Cold”– ~+1oC > T > -5oC = “Warm”– > +1oC = “Wet”

Crystals (plates, columns, needles)Crystals (plates, columns, needles)

Aggregate Crystals (Dry)Aggregate Crystals (Dry)

Aggregate Crystals (Wet)Aggregate Crystals (Wet)

Surface. Assume temperatures decrease steadily with heightSurface. Assume temperatures decrease steadily with height

Radar Cross Section Radar Cross Section CharacteristicsCharacteristics

Z/ZDR/CC Z/ZDR/CC CharacteristicsCharacteristics

High DensityHigh Density

High ConcentrationHigh ConcentrationOblate, Horizontal OrientationOblate, Horizontal Orientation

Small sizeSmall size

Z < 35 dBZZ < 35 dBZ

ZDR 0-6 dBZDR 0-6 dB

CC > 0.95CC > 0.95

Decreasing densityDecreasing density

Decreasing ConcentrationDecreasing Concentration

Less oblateLess oblate

Larger sizeLarger size

Z increasingZ increasing

ZDR decreasingZDR decreasing

0 > ZDR > 0.5 dB0 > ZDR > 0.5 dB

CC > 0.95CC > 0.95

Rapid increase in densityRapid increase in density

Rapid increase in oblatenessRapid increase in oblateness

Z increasing but < 45 Z increasing but < 45 dBZdBZ

ZDR rapidly increasingZDR rapidly increasing

0.50 > CC > 0.90.50 > CC > 0.9

Page 98: Radar Basics and Estimating Precipitation Jon W. Zeitler Science and Operations Officer National Weather Service Austin/San Antonio Forecast Office Science

Rain Snow Discrimination

Z ZDR

KDP CC

Snow

Rain

Page 99: Radar Basics and Estimating Precipitation Jon W. Zeitler Science and Operations Officer National Weather Service Austin/San Antonio Forecast Office Science

One Hour Later…

Z ZDR

KDP CC

-SN

Page 100: Radar Basics and Estimating Precipitation Jon W. Zeitler Science and Operations Officer National Weather Service Austin/San Antonio Forecast Office Science

Data Quality Improvement

• Ground clutter/Anomalous propagation– High reflectivity (Z) -- (> 35 dBZ)

– Near zero or slightly negative ZDR

– Noisy, lower correlation coefficient (CC) -- (< 0.90)

• Insects/Biological scatterers– Low reflectivity (Z) -- (< 35 dBZ)– Horizontally-oriented with elongated shape: very high

ZDR (> 2 dB up to 6 dB)

– Heterogeneity causes very low correlation coefficients (< 0.70)

Page 101: Radar Basics and Estimating Precipitation Jon W. Zeitler Science and Operations Officer National Weather Service Austin/San Antonio Forecast Office Science

Tornado Detection

• Tornado debris is large (from radar perspective), irregularly shaped and randomly oriented– Z > 45 dBZ– ZDR near 0 dB– CC very low (< 0.8)

• A good sign that a tornado is already in progress!– Diagnostic ONLY– Has only been verified for EF-1 or greater

tornadoes at relatively close ranges

Page 102: Radar Basics and Estimating Precipitation Jon W. Zeitler Science and Operations Officer National Weather Service Austin/San Antonio Forecast Office Science

Tornadic Debris Signature (TDS)

Z ZDR

CC

TDS!

Page 103: Radar Basics and Estimating Precipitation Jon W. Zeitler Science and Operations Officer National Weather Service Austin/San Antonio Forecast Office Science

Debris cloud near GM Plant