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Nonlinear Processes in Geophysics An interactive open-access journal of the European Geosciences Union

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https://doi.org/10.5194/npgd-1-1509-2014
© Author(s) 2014. This work is distributed under
the Creative Commons Attribution 3.0 License.
Research article
09 Sep 2014
Review status
This discussion paper is a preprint. It has been under review for the journal Nonlinear Processes in Geophysics (NPG). A final paper in NPG is not foreseen.
Self-breeding: a new method to estimate local Lyapunov structures
J. D. Keller1,2 and A. Hense3 1Hans-Ertel-Centre for Weather Research, Bonn, Germany
2Deutscher Wetterdienst, Offenbach, Germany
3Meteorological Institute, University of Bonn, Bonn, Germany
Abstract. We present a new approach to estimate local Lyapunov vectors. The so called self-breeding method is based on the breeding of growing modes technique from medium range weather forecasting and consists of a continuous forecasting and rescaling cycle. Using the Lorenz96 model we test and characterize the behavior of the algorithm regarding error growth, spatial perturbation structure estimates and orthogonalization. The results indicate that the method can be used to generate error growing modes optimized for a certain rescaling interval, thus enabling the user to target specific scales of error growth. When an additional orthogonalization procedure is applied, the method is able to produce structures representing the error growth subspace spanned by the largest Lyapunov vectors.

Citation: Keller, J. D. and Hense, A.: Self-breeding: a new method to estimate local Lyapunov structures, Nonlin. Processes Geophys. Discuss., 1, 1509-1537, https://doi.org/10.5194/npgd-1-1509-2014, 2014.
J. D. Keller and A. Hense
J. D. Keller and A. Hense

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