Articles | Volume 30, issue 2
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

Model code and software

Toward a multivariate formulation of the PKF assimilation O. Pannekoucke

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.