Characterising and reducing uncertainties in all-sky radiative transfer - Vasileios Barlakas Annual Fellow Day 01.03.2021

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Characterising and reducing uncertainties in all-sky radiative transfer - Vasileios Barlakas Annual Fellow Day 01.03.2021
Characterising and reducing uncertainties in all-sky
radiative transfer

Vasileios Barlakas

Annual Fellow Day
01.03.2021
Characterising and reducing uncertainties in all-sky radiative transfer - Vasileios Barlakas Annual Fellow Day 01.03.2021
Preface
                         Project description                                   !

CREATE – Characterizing and REducing uncertainties in All-sky
microwave radiative TransfEr

⚈   Sensors                                       ⚈      Applications
o Sensors with frequencies up to ~183 GHz         o Stand–alone retrievals
o Ice Cloud Imager (ICI): 183.31 – 664 GHz        o Data assimilation (DA)

⚈   Open issues
o Three-dimensional radiative transfer is ingored
o Hydrometeor orientation and polarization are ignored
o RTTOV-SCATT accuracy
   o Two-stream delta-Eddington approximation
   o Sub-grid variability and cloud overlap scheme
Characterising and reducing uncertainties in all-sky radiative transfer - Vasileios Barlakas Annual Fellow Day 01.03.2021
Preface
                            Project description                                     !

CREATE – Characterizing and REducing uncertainties in All-sky
microwave radiative TransfEr

⚈   Sensors                                            ⚈   Applications
o Sensors with frequencies up to ~183 GHz              o Stand–alone retrievals
o Ice Cloud Imager (ICI): 183.31 – 664 GHz             o Data assimilation (DA)

⚈    Open issues
þ Three-dimensional radiative transfer is ingored             1st year1
þ Hydrometeor orientation and polarization are ignored        1st & 2nd year2
o RTTOV-SCATT accuracy                                        1st & 2nd year2
   o Two-stream delta-Eddington approximation
   o Sub-grid variability and cloud overlap scheme

1Barlakas   and Eriksson., Remote Sens., 2020
2Barlakas et al., AMTD, 2020
2Geer, Barlakas et al., to be submitted to GMD, 2021
2Barlakas et al., in preparation, JQSRT, 2021
Characterising and reducing uncertainties in all-sky radiative transfer - Vasileios Barlakas Annual Fellow Day 01.03.2021
Overview
             Part 1 – Hydrometeor orientation                !!!!!!!!!!!

Introducing hydrometeor orientation into all-sky
millimeter/sub-millimeter assimilation

                                                             Barlakas et al., AMTD, 2020
                                    Geer, Barlakas et al., to be submitted to GMD, 2021
Characterising and reducing uncertainties in all-sky radiative transfer - Vasileios Barlakas Annual Fellow Day 01.03.2021
Introduction
                          Motivation                                  !!!!!!!!!!!

⚈   Why ice clouds?
                                                           Nasa/JPL-Caltech
                                                            IWP = 2 gm−2

o Model uncertainties (shape and orientation).

⚈   Why MW and sub-mm?
o Sensitive to large and small ice hydrometeors
o Ice Cloud Imager (ICI)
    o 183–664 GHz + dual polarization
    o Improved ice retrievals + extend data assimilation
Characterising and reducing uncertainties in all-sky radiative transfer - Vasileios Barlakas Annual Fellow Day 01.03.2021
Introduction
                          Motivation                                        !!!!!!!!!!!

⚈   Why ice clouds?
                                                                 Nasa/JPL-Caltech
                                                                  IWP = 2 gm−2

o Model uncertainties (shape and orientation).

⚈   Why MW and sub-mm?
o Sensitive to large and small ice hydrometeors
o Ice Cloud Imager (ICI)
    o 183–664 GHz + dual polarization
    o Improved ice retrievals + extend data assimilation
+ Polarization

                                                           6 July 2019
Characterising and reducing uncertainties in all-sky radiative transfer - Vasileios Barlakas Annual Fellow Day 01.03.2021
Introduction
                          Hydrometeor orientation                      !!!!!!!!!!!

⚈   Assumptions in DA
o Totally randomly oriented (TRO) hydrometeors only
o “Scalar” simulations, i.e., V– or H–polarization
o Invariant scattering properties between V– and H–simulations

                                                             Oriented ice hydrometeors
                                                                induce polarization
                                                                  PD = TBV − TBH
Characterising and reducing uncertainties in all-sky radiative transfer - Vasileios Barlakas Annual Fellow Day 01.03.2021
Introduction
                           Hydrometeor orientation                                  !!!!!!!!!!!

o Attenuation driven by the extinction matrix      ⎛   K 11 K 12   K 13   K 14 ⎞
                                                   ⎜                            ⎟
                                                   ⎜   K 21 K 22 K 23     K 24 ⎟
✓ incident direction                            K= ⎜                            ⎟
                                                       K 31 K 32 K 33     K 34 ⎟
✓ orientation                                      ⎜
                                                   ⎜
                                                   ⎝   K 41 K 42 K 43     K 44 ⎟⎠
Characterising and reducing uncertainties in all-sky radiative transfer - Vasileios Barlakas Annual Fellow Day 01.03.2021
Introduction
                                          Hydrometeor orientation                              !!!!!!!!!!!

o Attenuation driven by the extinction matrix                 ⎛   K 11 K 12   K 13   K 14 ⎞
                                                              ⎜                            ⎟
                                                              ⎜   K 21 K 22 K 23     K 24 ⎟
✓ incident direction                                       K= ⎜                            ⎟
                                                                  K 31 K 32 K 33     K 34 ⎟
✓ orientation                                                 ⎜
                                                              ⎜
                                                              ⎝   K 41 K 42 K 43     K 44 ⎟⎠

o Total random orientation (TRO)
✗ favored direction
✗ orientation
       ⎛   K 11    0      0      0 ⎞
       ⎜                              ⎟
       ⎜    0     K 11    0      0 ⎟
    K= ⎜                              ⎟
       ⎜    0      0     K 11    0 ⎟
       ⎜    0      0      0     K 11 ⎟⎠
       ⎝

 K11, extinction cross section
Characterising and reducing uncertainties in all-sky radiative transfer - Vasileios Barlakas Annual Fellow Day 01.03.2021
Introduction
                                          Hydrometeor orientation                                   !!!!!!!!!!!

o Attenuation driven by the extinction matrix                  ⎛   K 11 K 12   K 13   K 14 ⎞
                                                               ⎜                            ⎟
                                                               ⎜   K 21 K 22 K 23     K 24 ⎟
✓ incident direction                                        K= ⎜                            ⎟
                                                                   K 31 K 32 K 33     K 34 ⎟
✓ orientation                                                  ⎜
                                                               ⎜
                                                               ⎝   K 41 K 42 K 43     K 44 ⎟⎠

o Total random orientation (TRO)                        o Azimuthal random orientation (ARO)

✗ favored direction                                     ✓ orientation based on tilt angle β
✗ orientation                                           ✗ orientation in the azimuth
       ⎛   K 11    0      0      0 ⎞                            ⎛ K    K 12  0    0             ⎞
       ⎜                              ⎟                         ⎜ 11                            ⎟
       ⎜    0     K 11    0      0 ⎟                            ⎜ K 12 K 11  0    0             ⎟
    K= ⎜                              ⎟                      K= ⎜                               ⎟
       ⎜    0      0     K 11    0 ⎟                            ⎜ 0     0   K 11 K 34           ⎟
       ⎜    0      0      0     K 11 ⎟⎠                         ⎜ 0     0 −K 34 K 11            ⎟
       ⎝                                                        ⎝                               ⎠

 K11, extinction cross section                           K12, cross section for linear polarisation
                                                         K34, cross section for circular polarisation
Polarized scattering correction
                 Extinction at 166.9 GHz       !!!!!!!!!!!

⚈   TRO vs ARO

                                                Large plate aggregate
                                                    Brath et al., 2020

                                             Barlakas et al., AMTD, 2020
Polarized scattering correction
                            Extinction at 166.9 GHz                            !!!!!!!!!!!

 ⚈    TRO vs ARO

                                                                                Large plate aggregate
                                                                                    Brath et al., 2020

                          Conical scanners
                               view

o Extinction cross section, K11        => At θinc ~ 55o, the differences are close to 0.
o Linear polarization cross section, K12 => Large differences up to 18 % between V & H

                                                                             Barlakas et al., AMTD, 2020
Polarized scattering correction
                              ARO approximation                             !!!!!!!!!!!

 ⚈     Orientation approximation
o The parameterization is governed by
  the polarization ratio ρ:                                                  Large plate aggregate
                                                                                 Brath et al., 2020

     τ H τ TRO (1+ α )
  ρ=    =              ,
     τ V τ TRO (1− α )

α is a correction factor approximating the
cross section for linear polarization, i.e., K12

* Control (current framework):
 ρ (α = 0) = 1

                                                                            Barlakas et al., AMTD, 2020
                                                   Geer, Barlakas et al., to be submitted to GMD, 2021
Data assimilation experiments
                                        Setup                                     !!!!!!!!!!!

  ⚈       Based on the IFS1 of ECMWF2

1) Passive monitoring experiments
    o Sensors: GMI3                                    Which is the best ρ?
    o Duration: Jun. – Jul. 2019

2) Cycled DA experiments
    o Sensors: AMSR-24, GMI3, SSMIS5
    o Duration: Febr. – May 2019 &                      What is impact of ρ on the forecast?
                Jun. – Aug. 2019

o Microphysical setup following:
Geer, to be submitted to AMT, 2021

1IntegratedForecast System
2European  Centre for Medium-Range Weather Forecasts
3Global Precipitation Mission microwave imager
4Advanced Microwave Scanning Radiometer-2                                          Barlakas et al., AMTD, 2020
5Special Sensor Microwave Imager/Sounder                  Geer, Barlakas et al., to be submitted to GMD, 2021
Fitting model to observations
                            Choosing the best ρ          !!!!!!!!!!!

 ⚈    Polarization differences (PD)
o Observed (o):    PDo = TBV
                           o     o
                             − TBH
                                       PDo − PD b !
o Simulated (b):      b
                   PD = T  b
                          BV
                               −Tb
                                BH

* Careful cloud screening method

                                                       Barlakas et al., AMTD, 2020
Fitting model to observations
                               Choosing the best ρ          !!!!!!!!!!!

 ⚈    Polarization differences (PD)
o Observed (o):     PDo = TBV
                            o     o
                              − TBH
                                          PDo − PD b !
o Simulated (b):       b
                    PD = T    b
                             BV
                                  −T  b
                                     BH

* Careful cloud screening method

                                                                        #simulated
                                                          h = ∑ log10              / # bins
                           Control                            bins      #observed

o Best fit:
166.5 GHz, ρ = 1.4 (α = 0.167)
 89.0 GHz, ρ = 1.5 (α = 0.2)
                                                          Barlakas et al., AMTD, 2020
Fitting model to observations
                            Global performance of ρ = 1.4            !!!!!!!!!!!

o Universal arch-like shape of relation
o Control run completely fails to reproduce it
o A ρ of 1.4 gives a reasonable representation of such relation

                                                                   Barlakas et al., AMTD, 2020
Fitting model to observations
                            Global performance of ρ = 1.4                        !!!!!!!!!!!

                          Observations                            Simulations ρ = 1.4

o Universal arch-like shape of relation
o Control run completely fails to reproduce it
o A ρ of 1.4 gives a reasonable representation of such relation

                                                                               Barlakas et al., AMTD, 2020
Forecast impact
                                     Forecast quality – ρ = 1.4    !!!!!!!!!!!

      Equal & opposite           Unilateral in V
         α = 0.167                 γ = 0.286
   τ    τ (1+ α ) τ TRO (1+ β )     τ (1)
ρ = H = TRO          =           = TRO          = 1.4
   τ V τ TRO (1− α )   τ TRO (1)  τ TRO (1− γ )
                          Unilateral in H
                             β = 0.4

1Advanced  Technology Microwave Sounder
2Winds at 850 hPa, AMSUA (53.7H GHz),
 geostationary H2O radiances                                      Barlakas et al., AMTD, 2020
Forecast impact
                                     Forecast quality – ρ = 1.4    !!!!!!!!!!!

      Equal & opposite           Unilateral in V
         α = 0.167                 γ = 0.286
   τ    τ (1+ α ) τ TRO (1+ β )     τ (1)
ρ = H = TRO          =           = TRO          = 1.4
   τ V τ TRO (1− α )   τ TRO (1)  τ TRO (1− γ )
                          Unilateral in H
                             β = 0.4

⚈     Validation
o Independent: ATMS1 & conventional2 data
    þ Neutral impact

1Advanced  Technology Microwave Sounder
2Winds at 850 hPa, AMSUA (53.7H GHz),
 geostationary H2O radiances                                      Barlakas et al., AMTD, 2020
Forecast impact
                                       Forecast quality – ρ = 1.4                                                          !!!!!!!!!!!

      Equal & opposite             Unilateral in V Instrument(s):Instrument(s):
                                                                  GPM − GMI(ALL−SKY)     − TB
                                                                                DMSP−17,18       Area(s): N.Hemis
                                                                                            − SSMIS(ALL−SKY)      S.Hemis Tropics
                                                                                                                − TB
         α = 0.167                    γ = 0.286          (a)
                                                                      From 00Z  15−Feb−2019
                                                                           Area(s):          to 12Z 31−Aug−2019
                                                                                    N.Hemis S.Hemis  Tropics
                                                                      From 00Z 15−Feb−2019 to 12Z 31−Aug−2019
                                                                  13                                                        190.3V
   τ H τ TRO (1+ α ) τ TRO (1+ β )     τ TRO (1)         (b)
                                                                  17
ρ=    =              =             =               = 1.4          12                                                        186.9V
   τ V τ TRO (1− α )    τ TRO (1)    τ TRO (1− γ )                16
                                                                                          11

                                                                                                                                                             Frequency (pol.) [GHz]
                                                                                                                                                    166.5H
                                                                                          14
                           Unilateral in H

                                                                                 number
                                                                                          10                                                        166.5V

                                                                                number
                              β = 0.4                                                     13
                                                                                           8                                                         89.0V

                                                                         Channel
                                                                                          12

                                                                        Channel
⚈      Validation
                                                                                           6
                                                                                          11
                                                                                           5
                                                                                          10
                                                                                                                                                     36.5V

                                                                                                                                                     23.8V

o Independent: ATMS1 & conventional2 data                                                 49                                                         18.7V
                                                                                                GMI
    þ Neutral impact                                                                      38                                                         18.7H
                                                                                           90
                                                                                           96    92 98 94    10096       98102 100 104102          104
                                                                                                                                                   106
o Dependent: AMSR-2, GMI, SSMIS                                                                     Background
                                                                                                    Background std.
                                                                                                               std. dev.
                                                                                                                    dev. [%,
                                                                                                                          [%, normalised]
                                                                                                                               normalised]
                                                                                                             Pol.
                                                                                                             Pol. ratio
                                                                                                                  ratio of
                                                                                                                        of 1.4
                                                                                                                           1.4 applied
                                                                                                                                applied to
                                                                                                                                        to V
   þ Increased consistency between V & H channels
                                              (b)                                                            Pol.
                                                                                                             Pol. ratio
                                                                                                                  ratio of
                                                                                                                        of 1.4
                                                                                                                           1.4 applied
                                                                                                                                applied to
                                                                                                                                           V
                                                                                                                                        to V
                                                                                                                                           V and
                                                                                                                                             and H
                                                                                                                                                 H
                                                                                                             Pol. ratio of 1.4 applied  to
                                                                                                             Pol. ratio of 1.4 applied to HH
   þ Increased consistency between instruments                                                     100%
                                                                                                   100% =
                                                                                                        =    Control
                                                                                                             Control

      + Tuning the overall level of scattering

1Advanced  Technology Microwave Sounder
2Winds at 850 hPa, AMSUA (53.7H GHz),
 geostationary H2O radiances                                                                                            Barlakas et al., AMTD, 2020
Conclusions
                           Summary & Outlook                                     !!!!!!!!!!!

 ⚈    Final configuration of RTTOV-SCATT v13.0
o Minor software adaption and no calculation burdens
o Maximum modeling errors are reduced by 10–15 K
o Errors are now ~ symmetrical
o Neutral forecast impact, with increasing consistency between instruments
o Polarization ratio of 1.4 in RTTOV-SCATT v13.0 + future IFS cycle

⚈    Outlook                                                            MHS                      ICI

o Polarization correction scheme
   o Cross-track sounders
   o Radar backscattering              3rd year                 Photo: esa.int          Photo: Airbus
   o Ice retrievals, e.g., in GMI
o Frequencies above 183 GHz, i.e., Ice Cloud Imager

                                                                                Barlakas et al., AMTD, 2020
                                                       Geer, Barlakas et al., to be submitted to GMD, 2021
Overview
                               Part 2 – RTTOV-SCATT accuracy     !!!!

 Model inter-comparison in all-sky
 millimeter/sub-millimeter radiative transfer
 Barlakas et al., in preparation, JQSRT, 2021

Objectives:
o Are there any systematic or random errors?
o Where does the two-stream delta-Eddington “falls apart”?
o Most studies focus on clear-sky or frequencies below ~90 GHz
o Prepare RTTOV–SCATT for ICI
Overview
                               Part 2 – RTTOV-SCATT accuracy                      !!!!

 Model inter-comparison in all-sky
 millimeter/sub-millimeter radiative transfer
 Barlakas et al., in preparation, JQSRT, 2021

Objectives:
o Are there any systematic or random errors?
o Where does the two-stream delta-Eddington “falls apart”?
o Most studies focus on clear-sky or frequencies below ~90 GHz
o Prepare RTTOV–SCATT for ICI

ARTS vs RRTOV (–SCATT):
o Clear–sky
o All–sky (i.e. snow, ice, rain)
Sensors:                                            ARTS scattering database
o Advanced Microwave Sounding Unit A (AMSUA)        o 34 freq.: 1-886.4 GHz
o Microwave Humidity Sounder (MHS)                  o 34 particle models (PM)
o Ice Cloud Imager (ICI)                            o 35-45 sizes per PM
                                                        Eriksson et al., ESSD, 2018
Results
                           MHS: Clear–sky comparison                             !!!!

                                                        Settings:
                                                        o US standard atmosphere
                                                        o Surface emissivity = 1

o An excellent agreement is found ± 0.1 K                             Correct spectroscopy!
o Exceptions: ICI at 243.2 GHz (~0.2 K) and 448 GHz (~0.4 K)          Ongoing by Met Office
                                                         Barlakas et al., in preparation, JQSRT, 2021
Results
                                ICI: Ice–only comparison                           !!!!

Settings:
o Gaussian cloud: 9-11 km
o Large plate aggregate habit
o Field et al., 2007 PSD
   ΔΤΒ = ΤΒ,cloudy – TB,clear

                                                           Barlakas et al., in preparation, JQSRT, 2021
Results
                                ICI: Ice–only comparison                           !!!!

Settings:
o Gaussian cloud: 9-11 km
o Large plate aggregate habit
o Field et al., 2007 PSD
   ΔΤΒ = ΤΒ,cloudy – TB,clear

                                                                  325 GHz

                                                           Barlakas et al., in preparation, JQSRT, 2021
Conclusions
                             Summary & Outlook                                       !!!!

 ⚈    Performance of RTTOV-SCATT
o Clear–sky conditions
   o An excellent agreement is found (±0.1 K). For ICI, there is still some ongoing work.
o All–sky conditions
   o ICI: ΔΤΒ ~3 K, with a relative error up to ΔΤΒ ~10 %
   o MHS and AMSUA: ΔΤΒ ~7 K, with a relative error up to ΔΤΒ ~15 %

 ⚈    Outlook
 o Where does the two-stream delta-Eddington “falls apart”?
                                                                    3rd year
 o Finalize the manuscript
 o Sub-grid variability and cloud overlap scheme.

                                                              Barlakas et al., in preparation, JQSRT, 2021
To–do–list
                            Year 3                              !

 ⚈    Polarized correction scheme
o Cross-track sounders
                                                    MHS
o Radar backscattering
o Ice cloud retrievals (ongoing)
                                            Photo: esa.int

 ⚈    Performance of RTTOV-SCATT
o Finalize the intercomparison (ongoing)
o Sub-grid variability and cloud overlap scheme.

                  Thank you for your attention !
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