Articles | Volume 30, issue 2
https://doi.org/10.5194/npg-30-139-2023
https://doi.org/10.5194/npg-30-139-2023
Research article
 | 
14 Jun 2023
Research article |  | 14 Jun 2023

Toward a multivariate formulation of the parametric Kalman filter assimilation: application to a simplified chemical transport model

Antoine Perrot, Olivier Pannekoucke, and Vincent Guidard

Related authors

Evaluation of isoprene emissions from the coupled model SURFEX–MEGANv2.1
Safae Oumami, Joaquim Arteta, Vincent Guidard, Pierre Tulet, and Paul David Hamer
Geosci. Model Dev., 17, 3385–3408, https://doi.org/10.5194/gmd-17-3385-2024,https://doi.org/10.5194/gmd-17-3385-2024, 2024
Short summary
Assessment of the contribution of IRS for the characterisation of ozone over Europe
Francesca Vittorioso, Vincent Guidard, and Nadia Fourrié
Atmos. Meas. Tech. Discuss., https://doi.org/10.5194/amt-2024-24,https://doi.org/10.5194/amt-2024-24, 2024
Preprint under review for AMT
Short summary
HyPhAI v1.0: Hybrid Physics-AI architecture for cloud cover nowcasting
Rachid El Montassir, Olivier Pannekoucke, and Corentin Lapeyre
EGUsphere, https://doi.org/10.5194/egusphere-2023-3078,https://doi.org/10.5194/egusphere-2023-3078, 2024
Short summary
SymPKF (v1.0): a symbolic and computational toolbox for the design of parametric Kalman filter dynamics
Olivier Pannekoucke and Philippe Arbogast
Geosci. Model Dev., 14, 5957–5976, https://doi.org/10.5194/gmd-14-5957-2021,https://doi.org/10.5194/gmd-14-5957-2021, 2021
Short summary
Estimation of the error covariance matrix for IASI radiances and its impact on the assimilation of ozone in a chemistry transport model
Mohammad El Aabaribaoune, Emanuele Emili, and Vincent Guidard
Atmos. Meas. Tech., 14, 2841–2856, https://doi.org/10.5194/amt-14-2841-2021,https://doi.org/10.5194/amt-14-2841-2021, 2021
Short summary

Related subject area

Subject: Predictability, probabilistic forecasts, data assimilation, inverse problems | Topic: Climate, atmosphere, ocean, hydrology, cryosphere, biosphere | Techniques: Theory
Evolution of small-scale turbulence at large Richardson numbers
Lev Ostrovsky, Irina Soustova, Yuliya Troitskaya, and Daria Gladskikh
Nonlin. Processes Geophys., 31, 219–227, https://doi.org/10.5194/npg-31-219-2024,https://doi.org/10.5194/npg-31-219-2024, 2024
Short summary
Improving Ensemble Data Assimilation through Probit-space Ensemble Size Expansion for Gaussian Copulas (PESE-GC)
Man-Yau Chan
EGUsphere, https://doi.org/10.5194/egusphere-2023-2699,https://doi.org/10.5194/egusphere-2023-2699, 2023
Short summary
How far can the statistical error estimation problem be closed by collocated data?
Annika Vogel and Richard Ménard
Nonlin. Processes Geophys., 30, 375–398, https://doi.org/10.5194/npg-30-375-2023,https://doi.org/10.5194/npg-30-375-2023, 2023
Short summary
Using orthogonal vectors to improve the ensemble space of the ensemble Kalman filter and its effect on data assimilation and forecasting
Yung-Yun Cheng, Shu-Chih Yang, Zhe-Hui Lin, and Yung-An Lee
Nonlin. Processes Geophys., 30, 289–297, https://doi.org/10.5194/npg-30-289-2023,https://doi.org/10.5194/npg-30-289-2023, 2023
Short summary
Review article: Towards strongly coupled ensemble data assimilation with additional improvements from machine learning
Eugenia Kalnay, Travis Sluka, Takuma Yoshida, Cheng Da, and Safa Mote
Nonlin. Processes Geophys., 30, 217–236, https://doi.org/10.5194/npg-30-217-2023,https://doi.org/10.5194/npg-30-217-2023, 2023
Short summary

Cited articles

Anderson, J. L. and Anderson, S. L.: A Monte Carlo implementation of the nonlinear filtering problem to produce ensemble assimilations and forecasts, Mon. Weather Rev., 127, 2741–2758, 1999. a
Azzi, M., Johnson, G., and Cope, M.: An introduction to the generic reaction set photochemical smog mechanism, Proceedings of the International Conference of the Clean Air Society of Australia and New Zealand, 3, 451–462, 1992. a
Berre, L., Pannekoucke, O., Desroziers, G., Stefanescu, S., Chapnik, B., and Raynaud, L.: A variational assimilation ensemble and the spatial filtering of its error covariances: increase of sample size by local spatial averaging, in: ECMWF Workshop on Flow-dependent aspecyts of data assimilation, 11–13 June 2007, edited by: ECMWF, Reading, UK, 151–168, https://www.ecmwf.int/sites/default/files/elibrary/2007/8172-variational-assimilation-ensemble-and-spatial-filtering-its-error-covariances-increase-sample.pdf (last access: 9 June 2023), 2007. a, b
Cohn, S.: Dynamics of Short-Term Univariate Forecast Error Covariances, Mon. Weather Rev., 121, 3123–3149, https://doi.org/10.1175/1520-0493(1993)121<3123:DOSTUF>2.0.CO;2, 1993. a, b
Coman, A., Foret, G., Beekmann, M., Eremenko, M., Dufour, G., Gaubert, B., Ung, A., Schmechtig, C., Flaud, J.-M., and Bergametti, G.: Assimilation of IASI partial tropospheric columns with an Ensemble Kalman Filter over Europe, Atmos. Chem. Phys., 12, 2513–2532, https://doi.org/10.5194/acp-12-2513-2012, 2012. a
Download
Short summary
This work is a theoretical contribution that provides equations for understanding uncertainty prediction applied in air quality where multiple chemical species can interact. A simplified minimal test bed is introduced that shows the ability of our equations to reproduce the statistics estimated from an ensemble of forecasts. While the latter estimation is the state of the art, solving equations is numerically less costly, depending on the number of chemical species, and motivates this research.