Reanalysis applications of GPS radio occultation measurements

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1 Reanalysis applications of GPS radio occultation measurements Dick Dee, Sakari Uppala, Shinya Kobayashi, Sean Healy ECMWF GRAS SAF Workshop on Applications of GPS radio occultation measurements ECMWF, June

2 Outline ERA-Interim and GPSRO data Bias issues in the reanalysis context Variational bias correction of radiance data (VarBC) Effect of COSMIC data on VarBC Impact of CHAMP in ERA-Interim

3 ERA-Interim: Preparation for a new European reanalysis ERA-Interim: Atmospheric reanalysis from 1989 onward Currently processing 2004; real-time by the end of 2008 Will continue as a Climate Data Assimilation System Main system characteristics: T255 (~80km) horizontal resolution 60 vertical layers; top level at 0.1 hpa Improved model physics (ECMWF model cycle 31r2) 4D-Var analysis using a 12h time window Completely revised humidity analysis Wavelet-based background error covariances Variational bias correction of radiance data Many product improvements compared to ERA-40: Better fit to observations Much better hydrological cycle Improved stratospheric transport Improved forecast skill See ECMWF Newsletters 110, 115 for additional details Contact ECMWF Data Services for access to ERA-Interim data products

4 The ERA-40 observing system: TOMS/ SBUV Aircraft data METEOSAT reprocessed cloud motion winds Conventional surface and upper-air observations NCAR/NCEP, ECMWF, JMA, US Navy, Twerle, GATE, FGGE, TOGA, TAO, COADS, 1973 VTPR 1979 HIRS/ MSU/ SSU Cloud motion winds Buoy data Observations used in ERA-Interim: 1987 SSM/I 1991 ERS ERS AMSU ERA-Interim ERA-40 observations until August 2002 ECMWF operational data after August 2002 Reprocessed altimeter wave-height data from ERS Humidity information from SSM/I rain-affected radiance data Reprocessed METEOSAT AMV wind data Reprocessed ozone profiles from GOME Reprocessed GPSRO data from CHAMP

5 Use of GPSRO in ERA-Interim (currently August 2004) CHAMP: (?) ~ 150 profiles/day COSMIC: (?) ~ 1500 profiles/day GRAS: potentially from 2006 ~ 650 profiles/day GRACE: potentially from 2006 ~ 150 profiles/day Expectations from a reanalysis perspective: GPS data should be especially valuable because they resolve scales not well observed by other instruments, provide global uniform sampling, and do not require bias correction Can GPS data provide a baseline for bias corrections of other instruments?

6 CHAMP data in ERA-Interim: bending angle departures (normalized by observation errors) Binned at ~35 km ~25 km ~15 km -150 profiles per day

7 The bias problem in a reanalysis context In theory: In practice:

8 Outline ERA-Interim and GPSRO data Bias issues in the reanalysis context Variational bias correction of radiance data (VarBC) Effect of COSMIC data on VarBC Impact of CHAMP in ERA-Interim

9 Variational bias correction (VarBC) applied to radiance data The data assimilation system optimizes the bias corrections, using all available information from observations and model Global radiance bias expressed in terms of bias predictors: A constant offset Instrument scan position Functions of the observed atmospheric column (e.g. integrated lapse rate) Separately for each satellite/sensor/channel: b( β, x) = β 0 + βi pi i Estimate the bias parameters in the variational analysis (Derber and Wu 1998) J b : background constraint for x J β : background constraint for β J(x, β) = (x b x) T B 1 x (x b + x) + (β β) B (β β) T 1 [ y b (x, β) h(x) ] R [ y b (x, β) h(x) ] o b T 1 β b o J o : bias-corrected observation constraint

10 Example: NOAA-9 MSU channel 3, solar flare disruption 200 hpa temperature departures from radiosonde observations Variational bias correction smoothly handles the abrupt change in bias: initially QC rejects most data from this channel the variational analysis adjusts the bias estimates bias-corrected data are gradually allowed back in no shock to the system!

11 MSU Ch3 variational bias corrections in ERA-Interim NOAA-10 NOAA-11 NOAA-12 NOAA-14

12 Inter-satellite calibration based on VarBC Jan 1995 May 1995 NOAA K NOAA-12 ~0 K NOAA K

13 MSU Ch3 bias-corrected Tb departures Jan 1995 May 1995 NOAA K Global standard deviations Global averages NOAA-12 ~0 K NOAA K

14 Limitations of variational bias correction The analysis adjusts the bias parameters in order to optimize the consistency among the various information sources: J b : background constraint for x J β : background constraint for β J(x, β) = (x b x) T B 1 x (x b + x) + (β β) B (β β) T 1 [ y b (x, β) h(x) ] R [ y b (x, β) h(x) ] o b T 1 β b o J o : bias-corrected observation constraint One has to be careful about which (and how many) sources to correct It won t work unless there is sufficient information to anchor the system Since VarBC corrects the (mean) departures, systematic errors in the forecast model may interfere

15 Limitation of VarBC: Interaction with model bias 0.1hPa 40hPa SSU Ch3 weighting function The model is generally too cold (by as much as 20K in polar winter) This is wrongly interpreted as an SSU warm bias SSU is then corrected to agree with the model Projection of model cold bias onto SSU Ch3 bias model

16 MSU Ch4: Tropical mean bias corrections NOAA-10 1K NOAA K 0.5K NOAA-12 Pinatubo NOAA-14

17 Outline ERA-Interim and GPSRO data Bias issues in the reanalysis context Variational bias correction of radiance data (VarBC) Effect of COSMIC data on VarBC Impact of CHAMP in ERA-Interim

18 GPS as a baseline for other instruments How do GPS data affect the bias corrections of other instruments? Experiment in a simplified NWP system (Sean Healy): Period: June 15 th to August 31 st, 2007 T511/159 Cy32r3 CONTROL: Assimilates all conventional measurements + AMSU-A and MHS instruments from the METOP-A satellite COSMIC: As control, but with all COSMIC measurements assimilated VarBC switched on. How do the COSMIC measurements modify the evolution of the bias correction of AMSU-A radiances?

19 Fit to radiosonde and COSMIC measurements (SH) Radiosonde temperature CONTROL: red COSMIC: black Bending angle COSMIC-4 (normalised O-B departures)

20 Bias correction applied to AMSU-A radiances for August 2007 Green = Control Pink = COSMIC Bias correction applied to channels 8,9,10,11 generally smaller with COSMIC assimilated. Larger for channels 12,13.

21 Evolution of the bias correction for AMSU-A, channel 9 (Southern Hemisphere) CONTROL (NO COSMIC MEASUREMENTS) COSMIC MEASUREMENTS ASSIMILATED

22 Impact of CHAMP data in ERA-Interim A preliminary impact experiment was performed ahead of ERA-Interim:

23 Impact of CHAMP data in ERA-Interim ~150 bending angle profiles/day Actual impact in ERA-Interim is more difficult to assess, since The number of CHAMP profiles is small The period is relatively short There are many other changes in the observing system during the same period CHAMP data counts:

24 Impact of CHAMP: Constraining VarBC NOAA-15 AMSU-A Ch 12 Tb (Southern Hemisphere) ~150 bending angle profiles/day departure statistics std dev bias Peak sensitivity at ~10 hpa variational bias corrections noaa-16 noaa-17 aqua CHAMP data counts:

25 Impact of CHAMP: Better fit to radiosonde data Radiosonde temperature mean departures (S Polar Cap) ~150 bending angle profiles/day 50 hpa 200 hpa CHAMP data counts:

26 Summary Expectations from the reanalysis perspective: GPS data should be especially valuable because they resolve scales that are not well observed by other instruments, provide global uniform sampling, and do not require bias correction Can GPS data provide a baseline for bias corrections of other instruments? Early experience with ERA-Interim seems to confirm these points. Potential of GPSRO for climate monitoring: no inter-satellite biases? Reprocessing activities are extremely valuable and should be encouraged

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