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AMT | Articles | Volume 11, issue 7
Atmos. Meas. Tech., 11, 4239–4260, 2018
https://doi.org/10.5194/amt-11-4239-2018
© Author(s) 2018. This work is distributed under
the Creative Commons Attribution 4.0 License.
Atmos. Meas. Tech., 11, 4239–4260, 2018
https://doi.org/10.5194/amt-11-4239-2018
© Author(s) 2018. This work is distributed under
the Creative Commons Attribution 4.0 License.

Research article 19 Jul 2018

Research article | 19 Jul 2018

Estimating observation and model error variances using multiple data sets

Richard Anthes and Therese Rieckh
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Cited articles  
Chen, S.-Y., Huang, C.-Y., Kuo, Y.-H., and Sokolovskiy, S.: Observational Error Estimation of FORMOSAT-3/COSMIC GPS Radio Occultation Data, Mon. Weather Rev., 139, 853–865, https://doi.org/10.1175/2010MWR3260.1, 2011. a, b, c, d, e, f, g
Cucurull, L. and Derber, J. C.: Operational Implementation of COSMIC Observations into NCEP's Global Data Assimilation System, Weather Forecast., 23, 702–711, https://doi.org/10.1175/2008WAF2007070.1, 2008. a
Dee, D. P., Uppala, S. M., Simmons, A. J., Berrisford, P., Poli, P., Kobayashi, S., Andrae, U., Balmaseda, M. A., Balsamo, G., Bauer, P., Bechtold, P., Beljaars, A. C. M., van de Berg, L., Bidlot, J., Bormann, N., Delsol, C., Dragani, R., Fuentes, M., Geer, A. J., Haimberger, L., Healy, S. B., Hersbach, H., Hólm, E. V., Isaksen, L., Kållberg, P., Köhler, M., Matricardi, M., McNally, A. P., Monge-Sanz, B. M., Morcrette, J.-J., Park, B.-K., Peubey, C., de Rosnay, P., Tavolato, C., Thépaut, J.-N., and Vitart, F.: The ERA-Interim reanalysis: configuration and performance of the data assimilation system, Q. J. Roy. Meteor. Soc., 137, 553–597, https://doi.org/10.1002/qj.828, 2011. a
Desroziers, G. and Ivanov, S.: Diagnosing and adaptive tuning of observation-error parameters in a variational assimilation, Q. J. Roy. Meteor. Soc., 127, 1433–1452, https://doi.org/10.1002/qj.49712757417, 2001. a
Ekstrom, C. R. and Koppang, P. A.: Error Bars for Three-Cornered Hats, IEEE T. Ultrason. Ferr., 53, 876–879, https://doi.org/10.1109/TUFFC.2006.1632679, 2006. a
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We show how multiple data sets, including observations and models, can be combined using the "N-cornered hat method" to estimate vertical profiles of the errors of each system. Using data from 2007, we estimate the error variances of radio occultation, radiosondes, ERA-Interim, and GFS model data sets at four radiosonde locations in the tropics and subtropics. A key assumption is the neglect of error correlations among the different data sets, and we examine the consequences of this assumption.
We show how multiple data sets, including observations and models, can be combined using the...
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