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This paper presents a statistical diagnostic to inter- pret the dynamics of nonlinear variability in models. It con- sists in applying the Multichannel Singular Spectrum Anal- ysis 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 ampli- tude 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 Temper- ature equation of a hybrid coupled model is used to illustrate and validate the methodology.

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