Strong stratospheric wave events in ERA5 reanalysis
As in Fig. 1, but for composites of strong stratospheric wave events. The strong wave events are defined by the 95th percentile of the first principal component of the zonally asymmetric component of 10 hPa geopotential height. See details in Methods.

Strong stratospheric wave events in ERA5 reanalysis As in Fig. 1, but for composites of strong stratospheric wave events. The strong wave events are defined by the 95th percentile of the first principal component of the zonally asymmetric component of 10 hPa geopotential height. See details in Methods.

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Extreme cold events over North America such as the February 2021 cold wave have been suggested to be linked to stratospheric polar vortex stretching. However, it is not resolved how robustly and on which timescales the stratosphere contributes to the surface anomalies. Here we introduce a simple measure of stratospheric wave activity for reanalyses...

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... Recently, several studies used the cluster analysis and the empirical orthogonal function method to identify the SPV stretching events (Cohen et al., , 2022Ding et al., 2022Ding et al., , 2023, Liang Z et al., 2023 and found that their reflective mechanism and tropospheric response closely resemble those of reflecting SSWs (Matthias & Kretschmer, 2020;Messori et al., 2022;Shen et al., 2023;Zou et al., 2024). Further efforts have been made to unveil possible causes and impacts of the SPV stretching events. ...
... Zhang et al., 2016). Further studies also use a nudging method in modeling to highlight the relative importance of the stratospheric process in Eurasian cooling induced by BKS sea ice loss (Ding et al., 2023;Peings, 2019;Xu et al., 2021Xu et al., , 2023P. Zhang, Wu, Simpson, et al., 2018). ...
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Plain Language Summary Stratospheric polar vortex (SPV) stretching events are characterized by a zonally asymmetric pattern of lower stratospheric variability with positive height anomalies over northern Eurasia and negative anomalies over Canada. In this study, we mainly focus on the SPV stretching events that occurred from October to November, and this is because the surface cooling over high‐latitude Eurasia following these events is associated with the stratospheric pathway. Here, the autumn events can be categorized into lower (LoSIC/BKSIC) and higher (HiSIC/Ctrl) sea ice groups based on observations and simulations. We further demonstrate that lower BKS sea ice conditions are favorable for intensified upward propagation of waves into the stratosphere in the Euro‐Siberian sector prior to the onset of SPV stretching events, and subsequently affect the geometry of the SPV (SPV stretching pattern). The stratospheric wave‐2 ridge anomalies migrate downward to the mid‐troposphere 30–40 days following SPV stretching onset, leading to the enhancement of the Arctic‐North European high and attendant colder Eurasia. These results emphasize the critical modulating role of Arctic sea ice in the Eurasian cooling response to SPV stretching events.
... The increasing frequency of weak SPV states can account for nearly 60% of the cooling region over midlatitude Eurasia; this proportion rises to about 80% when El Niño-Southern Oscillation variability is included, indicating that persistent weak SPV and tropical variability together contribute to Eurasian cooling (Kretschmer et al. 2018a). Besides the SPV stretching events, an empirical orthogonal function method is applied to extract the planetary wave-1 pattern associated with stratospheric variability, which features a high surface pressure anomaly over Alaska and a low anomaly over eastern North America, thus favoring cold surges over North America via stratosphere-troposphere interactions (Ding et al. 2022(Ding et al. , 2023. ...
... With the increasing importance of weak SPV, most existing literature appears to emphasize the crucial role of SSWs in Eurasian and North American coldness (e.g., Hall et al. 2021;Kodera et al. 2016;Xu et al. 2022;Zhang et al. 2020), the SPV stretching events and related surface responses are only marginally mentioned in several studies (Cohen et al. , 2022Ding et al. 2022Ding et al. , 2023Kretschmer et al. 2018b;Liang et al. 2023;Matthias and Kretschmer 2020;Messori et al. 2022;Shen et al. 2023). However, the occurrence probability of SSWs is less than that of SPV stretching events Liang et al. 2023). ...
... For autumn SPV stretching events, the downward extension of stratospheric signals during the early stage directly results in negative AO/NAO-like anomalies and thereby the first cold anomalies in northern Eurasia. This pattern is broadly consistent with the lagged effect of the planetary wave-1 pattern (Ding et al. 2022(Ding et al. , 2023 and the features of the Eurasia-weakened pattern notified by Liang et al. (2023). The deepening of the East Asian trough and the increase of the Ural high associated with stratospheric wave activity during the late stage are favorable for the second cold surge in high-latitude Eurasia and mid-latitude East Asia respectively. ...
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The weak stratospheric polar vortex (SPV) is usually linked to Northern Hemisphere cold spells. Based on the fifth generation of ECMWF atmospheric reanalysis and WACCM model experiments, we use K-means cluster analysis to extract the zonally asymmetric pattern of October-February stratospheric variability, which involves a stretched SPV and hence leads to cold surges in Northern Hemispheric mid-latitudes. There are contrasting effects and mechanisms between autumn (October–November) and late winter (February) SPV stretching events. In October, anomalies in the stratospheric circulation affect the near-surface 16–20 days after the weakening of the SPV. This contributes to a shift in the North Atlantic Oscillation (NAO) towards its negative phase, leading to cold anomalies over northern Eurasia. Together with the weakening of planetary wave-1 during days 31–40, the second stratosphere–troposphere coupling strengthens the East Asian trough and the Siberian high, resulting in Eurasian high-latitude cooling. For November, the suppressed upward propagation of wave-1 during days 11–15 is conducive to anomalous high pressure over northern Europe and thereby European cooling through a stratospheric pathway, while for days 21–30, the weakening of propagating wave-2 over Eastern Europe intensifies the mid-latitude wave train through a tropospheric pathway, favorable for cold temperatures in mid-latitude East Asia. In contrast, the late winter SPV stretching events and the attendant Eurasian coldness during 11–25 days are likely to have been simultaneously driven by the long-lived European high anomaly, which enhanced the upward-propagating tropospheric waves into the stratosphere and thus favored SPV stretching. It indicates that the tropospheric pathway, rather than the stratospheric pathway, plays a dominant role in cold Eurasia following February SPV stretching events.
... They argue that the tropospheric circulation regime associated with NA cold spells only acts as a precursor for the suppressed planetary wave-1 (a wave structure with one crest and one trough at a latitude circle) activity in the stratosphere. Ding et al. (2022Ding et al. ( , 2023, in contrast, show that strong stratospheric wave activity precedes positive NAO-like NA cooling at the surface with a 10-day lag. The divergent conclusions underscore that the surface impacts of stratospheric waves remain an area of active research. ...
... Ding et al. (2022) measure stratospheric wave activity with a simple metric based on the EOF analysis of the zonally asymmetric component of 10 hPa geopotential height, which can be readily applied to climate models. Ding et al. (2023) further show the impact of extreme stratospheric wave events on NA cold spells consistently across reanalysis and Coupled Model Intercomparison Project Phase 6 (CMIP6) ensemble means. The present study will assess extreme stratospheric wave activity in CMIP6 models. ...
... The subseasonal swing in temperature also resembles the surface fingerprints of the stratosphere-troposphere oscillation identified by Shen et al. (2022). These are also in line with other recent studies that suggest a stratospheric source of subseasonal predictability for NA surface temperature variability (e.g., Ding et al., 2022Ding et al., , 2023Messori et al., 2022). ...
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Extreme stratospheric wave activity has been suggested to be connected to surface temperature anomalies, but some key processes are not well understood. Using observations, we show that the stratospheric events featuring weaker‐than‐normal wave activity are associated with increased North American (NA) cold extreme risks before and near the event onset, accompanied by less frequent atmospheric river (AR) events on the west coast of the United States. Strong stratospheric wave events, on the other hand, exhibit a tropospheric weather regime transition. They are preceded by NA warm anomalies and increased AR frequency over the west coast, followed by increased risks of NA cold extremes and north‐shifted ARs over the Atlantic. Moreover, these links between the stratosphere and troposphere are attributed to the vertical structure of wave coupling. Weak wave events show a wave structure of westward tilt with increasing altitudes, while strong wave events feature a shift from westward tilt to eastward tilt during their life cycle. This wave phase shift indicates vertical wave coupling and likely regional planetary wave reflection. Further examinations of CMIP6 models show that models with a degraded representation of stratospheric wave structure exhibit biases in the troposphere during strong wave events. Specifically, models with a stratospheric ridge weaker than the reanalysis exhibit a weaker tropospheric signal. Our findings suggest that the vertical coupling of extreme stratospheric wave activity should be evaluated in the model representation of stratosphere‐troposphere coupling.
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Extreme stratospheric wave activity has been linked to surface cold extremes over North America, but little is known whether the Quasi-biennial Oscillation (QBO) plays a role in this linkage. Here, by comparing strong stratospheric wave events during the westerly phase (wQBO) with those during the easterly phase (eQBO), we show that the cooling signature following strong wave events depends on the QBO phase in observations. During wQBO, strong wave events are followed by an increased risk of North American cold extremes and a vertical structure shift from a westward phase tilt to an eastward tilt. However, strong wave events under eQBO do not change the cold risk nor alter the vertical tilt. We further examine this dependence on QBO in QBO-resolving climate models, finding that the cooling signature of strong wave events in models is largely insensitive to QBO phases. This insensitivity is suggested to be linked to model biases in the stratospheric wave representation.