Robin Hogan, Julien Delanoe and Robin Hogan, Julien Delanoe and Nicola PounderNicola PounderUniversity of ReadingUniversity of Reading

Towards unified retrievals Towards unified retrievals of clouds, precipitation of clouds, precipitation

and aerosolsand aerosols

IntroductionIntroduction• Most exciting aspect to EarthCARE is synergy by design

– A well formulated synergistic algorithm ought to always outperform a single-instrument algorithm

– If different species present in the same profile then need to retrieve them simultaneously in order to interpret measurements that are simultaneously sensitive to both (e.g. path-integrated attenuation and radiances sensitive to whole column)

• In the RATEC project we will begin development of a “unified” retrieval algorithm for clouds, precipitation and aerosols – A variational formulation will weight information from all sources

(radar, lidar, radiances and prior information) according to its error– This could also serve as 1- and 2-instrument algorithms (to insure

against instrument degradation or failure) by simply removing certain observations

• This talk will present the ingredients that have been gathered so far...

Motivation and classification

Cloudsat radar

CALIPSO lidar

Preliminary target classificationInsectsAerosolRainSupercooled liquid cloudWarm liquid cloudIce and supercooled liquidIceClearNo ice/rain but possibly liquidGround

Radar and lidarRadar onlyLidar only

Global-mean cloud fraction

Radar misses a

significant amount of

ice

Use radar and lidar together where they both detect a cloud

Retrieve ice and liquid simultaneously as both affect MSI radiances

Retrieval Retrieval frameworframewor

kkIngredients developedNot yet developed

1. New ray of data: define state vector

Use classification to specify variables describing each species at each gateIce: extinction coefficient , N0’, lidar extinction-to-backscatter ratio

Liquid: extinction coefficient and number concentrationRain: rain rate and mean drop diameterAerosol: extinction coefficient, particle size and lidar ratio

3a. Radar model

Including surface return and multiple scattering

3b. Lidar model

Including HSRL channels and multiple scattering

3c. Radiance model

Solar and IR channels

4. Compare to observations

Check for convergence

6. Gauss-Newton iteration

Derive a new state vector

3. Forward model

Not converged

Converged

Proceed to next ray of data

2. Convert state vector to radar-lidar resolution

Often the state vector will contain a low resolution description of the profile

5. Convert Jacobian to state-vector resolution

Jacobian initially will be at the radar-lidar resolution

7. Calculate retrieval error

Include error covariance and averaging kernel

State variables: ice cloudsState variables: ice clouds• Ice clouds already done by Delanoe and Hogan (2008), extended

in CASPER to use HSRL lidar– Variational version of Donovan and Tinel radar-lidar algorithms– Blends seamlessly between regions of cloud detected by radar and

lidar

• State vector contains these elements to describe ice clouds:– Visible extinction coefficient at each gate, – Normalized number concentration parameter, N0’

– Lidar extinction-to-backscatter ratio, S

• Prior information and other constraints:– Temperature dependence of N0’(T) from aircraft in-situ data

– Smoothness constraint on the state variables so that noisy observations (particularly lidar Mie and Rayleigh channels) don’t result in noisy retrievals

– Prior estimate of S (e.g. 20 sr)– Microphysical model assumptions, e.g. mass-size relationship,

infrared scattering properties

State variables: liquid cloudsState variables: liquid clouds• Largely new, but will build on

– Smith & Illingworth estimate of LWP from path-integrated attenuation

– CloudSat radar + MODIS solar channels– Information from HSRL using multiple-scattering forward model

• Possible state variables for liquid clouds:– Liquid water content, LWC (or possibly ) at each gate– Droplet number concentration, constant in each contiguous layer

(via size information from MSI channels, and combination of LWP from path-integrated attenuation and optical depth from MSI)

• Prior information and other constraints:– Smoothness constraint on profile of LWC– Prior estimate of number concentration (e.g. from sea versus land)– Assume lidar extinction-to-backscatter ratio is constant at 18.5 sr– LWC gradient at cloud base tends to the known adiabatic profile

given the temperature and pressure

State variables: precipitationState variables: precipitation• New; would need to build on results of other ESA/JAXA studies

– Key ingredients would be radar multiple-scattering model, surface return from ocean, profile of attenuated reflectivity (e.g. CloudSat), and Doppler velocity in stratiform conditions

• Possible state variables for precipitation:– Rain rate profile, R

– Normalized number concentration, Nw (one value per profile)

– Riming factor for snow and for ice above rain (one value per profile): invoked in convective conditions to account for higher density ice, and also in snow (treated as an extension to the ice-cloud retrieval)

– Melting-layer thickness scaling factor...

• Prior information and other constraints:– Strong smoothness constraint on profile of rain rate

– Estimate of Nw dependent on warm rain (e.g. Sc drizzle) or “cold” rain

• Warning: this will be difficult!

State variables: aerosolsState variables: aerosols• New; would need to build on results of other ESA/JAXA studies

– Key ingredients would be HSRL, MSI solar channels in the day and optical depth constraint from lidar ocean surface return

– Relatively straightforward compared to precipitation!

• Possible state variables for aerosols:– Extinction coefficient at 355 nm– Exinction-to-backscatter ratio (one value per layer)– Mean particle size (one value per layer)?

• Prior information and other constraints:– Extinction-to-backscatter ratio estimate dependent on

geographical region

Forward models: active Forward models: active instrumentsinstruments

• Radar– Microphysics: scattering library for cloud liquid, ice and precipitation

particles, ideally based on DDA and T-matrix rather than Mie– Propagation: fast multiple-scattering model is available (Hogan and

Battaglia 2008) but needs an analytic Jacobian model– Doppler: terminal fallspeeds straightforward; main challenge is to

characterize error due to vertical wind and non-uniform beam filling– Surface return: requires first pass to interpolate between clear skies?

• Lidar– Microphysics: backscatter problem overcome by retrieving

extinction-to-backscatter ratio, but some uncertainty between phase functions

– Propagation: fast multiple-scattering forward model exists for ice clouds, where we are in the small-angle limit, but wide-angle model for liquid clouds currently lacks an analytic Jacobian model or the ability to represent the individual HSRL channels

– Depolarization: currently no forward model for either single-scatter depolarization, or depolarization due to multiple scattering

Forward models: passive Forward models: passive instrumentsinstruments

• Infrared radiances– Microphysics: scattering library for cloud liquid, ice and aerosols

required– Propagation: two models suitable for use: RTTOV (used by ECMWF

and Met Office data assimilation systems) and the Delanoe and Hogan (2008) scheme

– Model inputs: note that the error in this model is significantly determined by the error in the temperature profile

• Solar radiances– Microphysics: scattering library required for liquid, ice and

aerosols, with uncertainty in the asymmetry factor and single-scatter albedo

– Propagation: fast “Radiant” code from Colorado State University could be implemented

– Model inputs: Need to assume a surface albedo– Other uncertainties: three-dimensional scattering effects could be

important but very difficult to incorporate in a 1D retrieval

Examples of wide-angle multiple scattering

• LITE lidar (<r, footprint~1 km)

CloudSat radar (>r)

StratocumulusStratocumulus

Intense thunderstormIntense thunderstorm

Surface echoSurface echoApparent echo from below the surface

Fast multiple scattering forward Fast multiple scattering forward modelmodel

CloudSat-like example

• New method uses the time-dependent two-stream approximation

• Agrees with Monte Carlo but ~107 times faster (~3 ms)

• Added to CloudSat simulator

Hogan and Battaglia (J. Atmos. Sci. 2008)

CALIPSO-like example

Exploiting multiple scatteringExploiting multiple scattering

ResultsResults

First ~3 optical depths would be seen by HSRL

• 1D-Var retrievals using Hogan and Battaglia forward model (Nicola Pounder)

Next ~10 optical depths from wide-angle returns Beyond, wide-angle returns provide constraint on total optical depth but not its vertical distribution

Test dataset: ER-2 radars and Test dataset: ER-2 radars and lidarlidar

94-GHz radar

10-GHz radar

• Can perform 94-GHz radar precipitation retrievals (using surface return from the oceans), then evaluate them by forward modelling the less attenuated 10-GHz radar

94-GHz reflectivity in convection disappears very quickly: multiple scattering from CloudSat may be giving us a false impression of how far we are penetrating

Next stepsNext steps• Within RATEC

– Code up flexible retrieval framework and error reporting– Add various forward models– Implement ice and liquid cloud capability– Test on A-train and aircraft datasets– Provide product description for 3D scene construction

• Post RATEC– Test in ECSIM– Via collaboration, implement precipitation and aerosol

components– Test when in 1- and 2-instrument configurations in case of

instrument degradation or failure