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Nonlinear Processes in Geophysics An interactive open-access journal of the European Geosciences Union
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Volume 21, issue 2
Nonlin. Processes Geophys., 21, 417–426, 2014
https://doi.org/10.5194/npg-21-417-2014
© Author(s) 2014. This work is distributed under
the Creative Commons Attribution 3.0 License.

Special issue: Ensemble methods in geophysical sciences

Nonlin. Processes Geophys., 21, 417–426, 2014
https://doi.org/10.5194/npg-21-417-2014
© Author(s) 2014. This work is distributed under
the Creative Commons Attribution 3.0 License.

Research article 14 Mar 2014

Research article | 14 Mar 2014

Controlling balance in an ensemble Kalman filter

G. A. Gottwald G. A. Gottwald
  • School of Mathematics and Statistics, University of Sydney, Sydney, NSW 2006, Australia

Abstract. We present a method to control unbalanced fast dynamics in an ensemble Kalman filter by introducing a weak constraint on the imbalance in a spatially sparse observational network. We show that the balance constraint produces significantly more balanced analyses than ensemble Kalman filters without balance constraints and than filters implementing incremental analysis updates (IAU). Furthermore, our filter with the weak constraint on imbalance produces good rms error statistics which outperform those of ensemble Kalman filters without balance constraints for the fast fields.

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