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The stratospheric Arctic Oscillation

For run $\Phi_s(\lambda)/Q_m(\lambda)/[Q_c]$, Fig. 3 shows the first EOF of the 50hPa-geopotential and one-point correlation maps for two reference points. All three patterns consist of a comparably strong zonal symmetry and a high pattern correlation ( for a and b: -0.9, for a and c: 0.65). Furthermore, the correlations between first principle components of 50hPa-geopotential and either 50hPa-zonal wind or 50hPa-temperature reach values greater than 0.9. These results and the high explained variance of the first 50hPa-geopotential EOF (41.6%) seems to indicate that this EOF represents a physically meaningful variability pattern.

Figure 3: a) First EOF of 50hPa-geopotential for run $\Phi_s(\lambda)/Q_m(\lambda)/[Q_c]$ (contour interval 0.02, negative values shaded). b) and c) 50hPa-geopotential one-point-correlation maps for same run with reference points at $0^{\rm{o}}$W $84^{\rm{o}}$N and $24^{\rm{o}}$O $28^{\rm{o}}$N (contour interval 0.1, negative values shaded).
\begin{figure}\begin{center} \hspace*{-2mm}\epsfig{figure=c:/eigene/physik/sparc/bilder/stwq.eps,width=13cm}\end{center} \end{figure}

For different stationary wave forcing, the leading EOFs of the 50hPa-geopotential show different features. In particular, in run $[\Phi_s]/[Q_m]/[Q_c]$ and run $\Phi_s(\lambda)/[Q_m]/[Q_c]$(Figs. 4a,b), the leading EOFs have strong wave components, whereas predominantly zonally symmetric patterns are obtained in run $\Phi_s(\lambda)/Q_m(\lambda)/[Q_c]$, run $\Phi_s(\lambda)/Q_m(\lambda)/Q_c(\lambda)$(Figs. 4c,d) and run $[\Phi_s]/Q_m(\lambda)/[Q_c]$(not shown).

But only run $\Phi_s(\lambda)/Q_m(\lambda)/[Q_c]$ and run $\Phi_s(\lambda)/Q_m(\lambda)/Q_c(\lambda)$ do generate AO patterns (Figs. 4c,d) that agree reasonably well with observational data (Thompson and Wallace, 2000). This holds for structure as well as explained variance (here: 41.6% and 41.1%, theirs: 54%). In the other runs such a mode cannot be found even in the higher EOFs. Therefore, the combination of orographic and middle latitude thermal wave forcing seems to be imperative for the activation of an AO-like variability pattern in the stratosphere. Thermal wave forcing in the tropics does not contribute conspicuously to this variability mode in our model.

Figure 4: Leading EOFs of the 50hPa-geopotential for run $[\Phi_s]/[Q_m]/[Q_c]$ (a), run $\Phi_s(\lambda)/[Q_m]/[Q_c]$ (b), run $\Phi_s(\lambda)/Q_m(\lambda)/[Q_c]$ (c) and run $\Phi_s(\lambda)/Q_m(\lambda)/Q_c(\lambda)$ (d) (contour interval 0.02, negative values shaded).
\begin{figure}\begin{center} \epsfig{figure=c:/eigene/physik/sparc/bilder/eofh50.eps,width=13cm}\end{center} \end{figure}

Using the first principle component of the 50hPa-geopotential, a composite analysis is carried out with 10% of the days with the lowest and highest values of the principle component. In a negative (positive) phase an anomalous high (low) geopotential prevails at the pole, together with a weakened (strengthened) polar vortex. We call the ensemble difference between the negative and positive phase the stratospheric phase anomaly. In the following, we discuss its zonal-mean fields focussing on the runs with orographic and middle latitude thermal stationary wave forcing.

Figure 5: Stratospheric phase anomaly of temperature (a+d) (contour interval 1K, negative values shaded), residual mass streamfunction (b+e) (contours at $\pm$ 0.1, 0.2, 0.5, 1, 2, 5, $\ldots \times 10^9$ kg/s, negative values shaded) as well as EP-flux and its divergence (c+f) (contour interval 0.5 $\times 10^5\rm{m}^3$, negative values shaded) for run $\Phi_s(\lambda)/[Q_m]/[Q_c]$ and run $\Phi_s(\lambda)/Q_m(\lambda)/[Q_c]$.
\begin{figure}\begin{center} \epsfig{figure=c:/eigene/physik/sparc/bilder/daost.eps,width=13cm}\end{center} \end{figure}

In run $\Phi_s(\lambda)/Q_m(\lambda)/[Q_c]$, phase anomalies of temperature (Fig. 5d) and residual mass circulation (Fig. 5e) prove that, during the negative phase, the anomalous weak polar vortex coincides with a warming of the polar stratosphere and an enhanced residual circulation. No such relation exists, if only one forcing mechanism is present (run $[\Phi_s]/Q_m(\lambda)/[Q_c]$ (not shown) and run $\Phi_s(\lambda)/[Q_m]/[Q_c]$(Figs. 5a,b)). In those runs we rather find that an anomalous weak polar vortex is accompanied by cooling in high latitudes and warming in the subtropical stratosphere, while the residual circulation amplifies weakly.

The anomalous Eliassen-Palm(EP)-flux divergence in run $\Phi_s(\lambda)/Q_m(\lambda)/[Q_c]$ (Fig. 5f) indicates an enhanced planetary wave activity in the polar night stratosphere during the negative phase. Even though such a phase anomaly is principally also observed in run $\Phi_s(\lambda)/[Q_m]/[Q_c]$ (Fig. 5c) and run $[\Phi_s]/Q_m(\lambda)/[Q_c]$(not shown), the effect is weaker and concentrates in subtropical latitudes.


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