According to Table 1, the frequency of major SSWs during EP-El Niño and CP-El Niño is 0.7 and 0.5 events per year, respectively. The frequency of minor SSWs during EP-El Niño and CP-El Niño is 1.3 and 1.4 events per year. The differences in the frequencies of major and minor SSWs between EP-El Niño and CP-El Niño are not statistically significant. The average frequency of major and minor SSWs for the period 1959-2014 is 0.5 per year and 1.4 events per year, respectively, which are also not significantly different from those during EP-El Niño and CP-El Niño.
Before proceeding further, it is worthwhile clarifying the relationship between SSW strength and duration. In each major SSW case, there may be several periods in which the zonal winds of 60°N at 10 hPa are easterlies. In each minor SSW case, there may be several periods in which the meridional temperature gradient between 60°N and 90°N at 10 hPa is positive. The maximum easterly wind and the maximum positive temperature gradient represent the strength of major and minor SSWs, respectively. Figure 2a is a scatter diagram of the duration of the easterly wind versus the maximum easterly wind during an easterly wind period. It can be seen that the duration of easterly wind increases almost linearly with the maximum strength of the easterly wind, i.e., the duration of major SSWs is, to a large extent, proportional to the strength of major SSWs. Figure 2b is a scatter diagram of the duration of positive meridional temperature gradient versus the maximum of the temperature gradient. It is apparent that the duration of minor SSWs also increases with the strength of minor SSWs as the duration of positive meridional temperature gradient increases with the maximum meridional temperature gradient, although the linearity between them is less justified, i.e., for a given minor SSW strength, some minor SSWs last longer while some others have a shorter duration. Figure 2 indicates that, on average, a stronger SSW tends to have a longer duration. Nevertheless, for the purpose of understanding the dynamical coupling between the troposphere and the stratosphere, the duration of SSWs is more instructive, as polar stratospheric anomalies are more likely to get into the troposphere during a longer SSW event.
Figure 3 shows the means of the SSW duration during EP-El Niño and CP-El Niño derived from the reanalysis data. The duration of major SSWs during CP-El Niño is equal to the climatological mean duration, while the duration of major SSWs during EP-El Niño is longer than the climatological mean duration (Fig. 3a). Although the duration of major SSWs during EP-El Niño is longer than that during CP-El Niño, the statistical significance of the difference does not reach the 95% confidence level under the Student’s t-test. The duration of minor SSWs during CP-El Niño is shorter than its climatological mean, while the duration of minor SSWs during EP-El Niño is longer than the climatological mean. The statistical significance of the difference in minor SSW duration between CP-El Niño and EP-El Niño reaches the 95% confidence level under the Student’s t-test (Fig. 3b). It should be pointed out that the differences in the frequency of minor or major SSWs between CP-El Niño and EP-El Niño are statistically insignificant, although significant differences exist in the duration of these events between CP-El Niño and EP-El Niño. In the definition of the frequency of SSWs, a 20-day interval of westerly wind or negative temperature gradient is required before the next onset date of a major SSW or a minor SSW can be defined. This 20-day interval criterion for determining the frequency of SSWs makes the differences in the frequency of minor or major SSWs between CP-El Niño and EP-El Niño indistinct.
To investigate the difference in the GH anomalies prior to minor and major SSWs, Fig. 4 shows the composited 200 hPa GH anomalies 5-10 days prior to minor and major SSWs derived from the NCEP-NCAR reanalysis dataset. It is apparent that the height anomalies preceding minor SSWs are different from those preceding major SSWs, both in their magnitude and spatial distribution. At middle and high latitudes, negative GH anomalies exist over the North Pacific and positive height anomalies over Northeast Canada (Fig. 4a), which bear a resemblance to the positive phase of the PNA teleconnection (Fig. 5a). The height anomalies preceding major SSWs (Fig. 4d) are characterized by positive height anomalies over the subtropical western Pacific and negative height anomalies over North Russia, which resemble the positive phase of the WP teleconnection (Fig. 5b). The magnitude of the height anomalies at high latitudes preceding major SSWs is larger than that preceding minor SSWs. (Garfinkel et al., 2012) and (Dai and Tan, 2016) also discussed the height anomalies preceding major SSWs, and their result is consistent with that in Fig. 4d. However, our analysis further reveals that height anomalies preceding minor SSWs are different from those preceding major SSWs, especially in their connections to teleconnections.
Also shown in Fig. 4 are the wavenumber 1 and 2 components of 200 hPa height anomalies prior to minor and major SSWs. The negative center of wavenumber 1 height anomalies preceding minor SSWs (Fig. 4b) is located from the North Pacific to Northeast Asia, and the positive center is located from Northeast Canada to the North Atlantic, which coincides with the climatological wavenumber 1 pattern at 200 hPa, implying a strengthening of wavenumber 1 in the upper troposphere. The wavenumber 1 component of height anomalies preceding major SSWs (Fig. 4e) also coincides with the climatological wavenumber 1 pattern, but the strength of wavenumber 1 anomalies preceding major SSWs is twice as strong as that preceding minor SSWs. The two negative centers of the wavenumber 2 anomalies preceding minor SSWs (Fig. 4c) are located over Europe and the North Pacific, and the two positive centers are located over Northeast Canada and Northeast Asia, which are nearly 180° out of phase with the climatological wavenumber 2, implying a weakening of wavenumber 2 in the upper troposphere. However, the wavenumber 2 anomalies preceding major SSWs (Fig. 4f) almost coincide with the wavenumber 2 climatology, resulting in a strengthening of wavenumber 2 in the upper troposphere.
The patterns of the positive phases of the PNA and WP teleconnections and the PDFs of the PNA and WP indices 5-10 days prior to major SSWs and minor SSWs are shown in Fig. 5. The PDFs of the PNA index before major and minor SSWs are not significantly different (Fig. 5c). However the PDFs of the WP index before major and minor SSWs are significantly different, i.e., there are more positive phases and fewer negative phases of the WP teleconnection before major SSWs (Fig. 5d). Thus, a positive phase of the WP teleconnection is more favorable for the occurrence of major SSWs. A careful examination of Figs. 5c and d reveals a tendency for more positive phases of the PNA and WP teleconnections before minor SSWs, although this feature is not prominent.
To further verify that the duration of major and minor SSWs is linked to teleconnections, the precursors in the GH field for long- and short-lasting SSWs are analyzed. Figures 6a and b show the composited 200 hPa GH anomalies 5-10 days prior to short-lasting (<5 days) and long-lasting (>15 days) minor SSWs. Overall, the height anomalies preceding short-lasting and long-lasting minor SSWs have a similar pattern to that in Fig. 4a, with a resemblance to the positive phase of the PNA teleconnection. Figures 6c and d further show the PDFs of the PNA and WP indices 5-10 days prior to short-lasting and long-lasting minor SSWs. It can be seen that minor SSWs tend to last longer if there are more positive phases of the PNA and WP teleconnections preceding the warming. Figures 7a and b show the composited 200 hPa GH anomalies 5-10 days prior to short-lasting and long-lasting major SSWs. The spatial distributions of the height anomalies in Figs. 7a and b are also similar to that in Fig. 4d, which resembles the positive phase of the WP teleconnection. The PDFs of the PNA and WP indices 5-10 days prior to short-lasting and long-lasting major SSWs (Figs. 7c and d) further indicate that long-lasting major SSWs correspond to more positive phases of the PNA and WP teleconnections preceding the warming.
The above analysis suggests that the duration of SSWs is closely related to the PNA and WP teleconnections. In the following analysis, the linkage between these teleconnections and El Niño events is discussed in more detail. In general, the positive SST anomalies in the tropics associated with El Niño will enhance convective activity and change the tropical height field by releasing latent heat, and then further affect the height field at higher latitudes through teleconnections. Figure 8 shows the correlation between the principle components of the SST anomalies in the tropical Pacific and the winter mean OLR from 1974 to 2012. We can see from Fig. 8a that statistically significant negative correlations exist near the dateline between the EPI and winter mean OLR, implying enhanced convection there when the EPI is in its positive phase. The result here is consistent with that reported in (Chiodi and Harrison, 2013). By contrast, statistically significant negative correlations exist to the west of the dateline between the CPI and winter mean OLR, implying enhanced convection there when the CPI is in its positive phase.
Figures 9a and b show the composited 200 hPa GH anomalies in the Pacific region during EP-El Niño and during CP-El Niño. It is evident that there are statistically significant 200 hPa GH anomalies over the tropical eastern Pacific during EP-El Niño (Fig. 9a). During CP-El Niño, statistically significant 200 hPa height anomalies are apparent over the tropical western Pacific. The locations of these significant height anomalies in Figs. 9a and b coincide with the significant OLR anomalies in Figs. 8a and b. At high latitudes, the spatial pattern of 200 hPa height anomalies to the east of the dateline during EP-El Niño shows a resemblance to the positive phase of the PNA teleconnection (Fig. 9a). During CP-El Niño, the extratropical 200 hPa GH has positive anomalies north of the Aleutian Islands and negative anomalies over Japan to the middle Pacific, which resembles the negative phase of the WP teleconnection (Fig. 9b). A positive phase of the PNA teleconnection is favorable for longer minor and major SSWs, as suggested in Figs. 6c and 7c. However, a negative phase of the WP teleconnection is not conducive to longer minor and major SSWs, as suggested in Figs. 6d and 7d. Note that the height anomalies at middle and high latitudes in Fig. 9b are statistically insignificant over most regions, possibly due to the relatively small sample sizes of EP-El Niño and CP-El Niño events. Figures 9c and d further show the correlation between GH anomalies over the Pacific region and the principle components of the tropical Pacific SST anomalies. We can see that the correlations in Figs. 9c and d have similar spatial patterns to those in Figs. 9a and b, but have more regions with statistically significant correlations.
As mentioned above, the height anomalies preceding minor SSWs have a similar spatial pattern to the positive phase of the PNA teleconnection, and the height anomalies preceding major SSW bear a similarity with the positive phase of the WP teleconnection. Therefore, it is necessary to further examine the linkages between the two kinds of El Niño and teleconnections. The PDFs of the PNA and WP indices for the winter season (November-February) during EP-El Niño and CP-El Niño are shown in Figs. 10a and b, respectively, and the climatological PDFs of the PNA and WP indices are also shown for reference. Figure 10a indicates that EP-El Niño is favorable for the occurrence of positive phases of the PNA teleconnection, i.e., there are more positive phases than negative phases of the PNA teleconnection during EP-El Niño. By contrast, the PDF of the PNA teleconnection during CP-El Niño events is nearly the same as the climatological PDF of the PNA teleconnection. The KS test also indicates that the climatological PDFs of the PNA index have no significant differences from those during CP-El Niño. Figure 10b indicates that EP-El Niño is favorable for the occurrence of positive phases of the WP teleconnection, i.e., there are more positive phases than negative phases of the WP teleconnection during EP-El Niño, which is consistent with the result reported in (Dai and Tan, 2016). CP-El Niño is favorable for the occurrence of negative phases of the WP teleconnection and it has no significant impact on the occurrence of positive phases of the WP teleconnection. This result is also supported by Fig. 9 which shows that a negative phase of the WP teleconnection appears in height anomalies at 200 hPa during CP-El Niño. As Figs. 6 and 7 indicate that height anomalies at 200 hPa preceding long-lasting SSWs are related to positive phases of the WP and PNA teleconnections, the results in Fig. 10 suggest that EP-El Niño is favorable for the appearance of long-lasting minor and major SSWs, since it is favorable for both positive phases of the PNA and WP teleconnections; whereas, CP-El Niño would depress the occurrence of long-lasting minor and major SSWs, since it is more likely to generate a negative phase of the WP teleconnection.
Previous studies have found that SSWs are induced by the mean-flow forcing of planetary waves from the troposphere——primarily wavenumber 1 and wavenumber 2 (e.g., Matsuno, 1971; Holton, 1976). To obtain more information on the effects of Niño events on planetary waves, Fig. 11 shows the vertical component of Eliassen-Palm flux at 200 hPa associated with wavenumber 1 and wavenumber 2 at middle to high latitudes during EP-El Niño and CP-El Niño. Compared with its climatology, the upward wave flux associated with wavenumber 1 is enhanced in the middle- and high-latitude upper troposphere during EP-El Niño. CP-El Niño has no significant impact on the wavenumber-1 upward flux at high latitudes. However, the wavenumber-1 upward flux in the middle-latitude upper troposphere is depressed during CP-El Niño relative to its climatology. The results here suggest that the upward wavenumber-1 wave flux in the extratropical upper troposphere during EP-El Niño is stronger than that during CP-El Niño. The upward wave flux associated with wavenumber 2 in the extratropical upper troposphere during CP-El Niño is not statistically different from that during EP-El Niño, although the upward wavenumber-2 wave flux during EP-El Niño is slightly smaller than that during CP-El Niño. Note that the magnitude of the upward wave flux changes associated with wavenumber 2 is smaller than that of wavenumber 1, and the changes in the upward wave flux associated with wavenumber 1 dominate the variation of planetary wave fluxes in the upper troposphere.
The differential Eliassen-Palm flux vectors associated with wavenumber 1 and wavenumber 2 in the stratosphere between EP-El Niño and CP-El Niño are shown in Figs. 11c and d, respectively, and the corresponding Eliassen-Palm flux divergence differences are over-plotted for reference. As expected, there are anomalous upward wavenumber-1 fluxes and anomalous downward wavenumber-2 fluxes in the polar stratosphere during EP-El Niño, relative to that during CP-El Niño. The Eliassen-Palm flux divergence associated with wavenumber 1 in the subpolar stratosphere during EP-El Niño is smaller than that during CP-El Niño, which is consistent with the enhancement of the upward wave flux associated with wavenumber 1 in the middle- and high-latitude upper troposphere during EP-El Niño. As we know, a negative divergence of Eliassen-Palm flux corresponds to a decrease in the westerly wind and an increase in SSW strength. Therefore, Fig. 11 further confirms that SSWs tend to be stronger and last longer during EP-El Niño than during CP-El Niño.