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Nonlinear Processes in Geophysics An interactive open-access journal of the European Geosciences Union
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Volume 12, issue 6
Nonlin. Processes Geophys., 12, 807–815, 2005
https://doi.org/10.5194/npg-12-807-2005
© Author(s) 2005. This work is licensed under
the Creative Commons Attribution-NonCommercial-ShareAlike 2.5 License.
Nonlin. Processes Geophys., 12, 807–815, 2005
https://doi.org/10.5194/npg-12-807-2005
© Author(s) 2005. This work is licensed under
the Creative Commons Attribution-NonCommercial-ShareAlike 2.5 License.

  31 Aug 2005

31 Aug 2005

Using MSSA to determine explicitly the oscillatory dynamics of weakly nonlinear climate systems

S. Raynaud1, P. Yiou1, R. Kleeman2, and S. Speich3 S. Raynaud et al.
  • 1Laboratoire des Sciences du Climat et de l’Environnement, CEA, Gif-sur-Yvette, France
  • 2Courant Institude of Mathematical Sciences, NYU, New-York, USA
  • 3Laboratoire de Physique des Oc´eans, UBO, Brest, France

Abstract. This paper presents a statistical diagnostic to interpret the dynamics of nonlinear variability in models. It consists in applying the Multichannel Singular Spectrum Analysis to the variability of a suitable equation of a dynamical system. This method enables us to evaluate the sensitivity of the oscillatory features of a physical model to tendencies in its mathematical formulation. Hence, responses in amplitude and frequency are determined in the phase space of the model. The example of interannual variability of the tropical Pacific climate through the analysis the Sea Surface Temperature equation of a hybrid coupled model is used to illustrate and validate the methodology.

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