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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Clim.</journal-id>
<journal-title>Frontiers in Climate</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Clim.</abbrev-journal-title>
<issn pub-type="epub">2624-9553</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.3389/fclim.2024.1345763</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Climate</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>The linkage between autumn Barents-Kara sea ice and European cold winter extremes</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes">
<name><surname>Cai</surname> <given-names>Di</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
<xref ref-type="aff" rid="aff3"><sup>3</sup></xref>
<xref ref-type="corresp" rid="c001"><sup>&#x0002A;</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/2565227/overview"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-original-draft/"/>
</contrib>
<contrib contrib-type="author">
<name><surname>Lohmann</surname> <given-names>Gerrit</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<xref ref-type="aff" rid="aff4"><sup>4</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/92811/overview"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-review-editing/"/>
</contrib>
<contrib contrib-type="author">
<name><surname>Chen</surname> <given-names>Xianyao</given-names></name>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
<xref ref-type="aff" rid="aff3"><sup>3</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/2662023/overview"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-review-editing/"/>
</contrib>
<contrib contrib-type="author">
<name><surname>Ionita</surname> <given-names>Monica</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<xref ref-type="aff" rid="aff5"><sup>5</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/1285428/overview"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-review-editing/"/>
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</contrib-group>
<aff id="aff1"><sup>1</sup><institution>Department of Paleoclimate Dynamics, Alfred Wegener Institute Helmholtz Center for Polar and Marine Research</institution>, <addr-line>Bremerhaven</addr-line>, <country>Germany</country></aff>
<aff id="aff2"><sup>2</sup><institution>Frontier Science Center for Deep Ocean Multi-spheres and Earth System/Physical Oceanography Laboratory, Ocean University of China</institution>, <addr-line>Qingdao</addr-line>, <country>China</country></aff>
<aff id="aff3"><sup>3</sup><institution>Laoshan Laboratory</institution>, <addr-line>Qingdao</addr-line>, <country>China</country></aff>
<aff id="aff4"><sup>4</sup><institution>Physics Department, University of Bremen</institution>, <addr-line>Bremen</addr-line>, <country>Germany</country></aff>
<aff id="aff5"><sup>5</sup><institution>Faculty of Forestry, &#x0201C;Stefan cel Mare&#x0201D; University of Suceava</institution>, <addr-line>Suceava</addr-line>, <country>Romania</country></aff>
<author-notes>
<fn fn-type="edited-by"><p>Edited by: Xiang Gao, Massachusetts Institute of Technology, United States</p></fn>
<fn fn-type="edited-by"><p>Reviewed by: Jennifer Francis, Woodwell Climate Research Center, United States</p>
<p>Bolan Gan, Ocean University of China, China</p>
<p>Juan C. Acosta Navarro, European Commission, Italy</p></fn>
<corresp id="c001">&#x0002A;Correspondence: Di Cai <email>di.cai&#x00040;awi.de</email></corresp>
</author-notes>
<pub-date pub-type="epub">
<day>29</day>
<month>02</month>
<year>2024</year>
</pub-date>
<pub-date pub-type="collection">
<year>2024</year>
</pub-date>
<volume>6</volume>
<elocation-id>1345763</elocation-id>
<history>
<date date-type="received">
<day>29</day>
<month>11</month>
<year>2023</year>
</date>
<date date-type="accepted">
<day>15</day>
<month>02</month>
<year>2024</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#x000A9; 2024 Cai, Lohmann, Chen and Ionita.</copyright-statement>
<copyright-year>2024</copyright-year>
<copyright-holder>Cai, Lohmann, Chen and Ionita</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/"><p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</p></license></permissions>
<abstract>
<p>While the Arctic&#x00027;s accelerated warming and sea ice decline have been associated with Eurasian cooling, debates persist between those attributing this to sea ice retreat and those to internal variability. Our study examines the association between autumn sea ice variability over the Barents-Kara Seas and extreme cold winters in Europe. Using the observational data and composite analysis, we explore the interannual variability and the potential linkage between sea ice and atmospheric circulation patterns. It reveals a correlation with shifts toward a negative phase of North Atlantic Oscillation and more frequent episodes of the atmospheric blocking over Greenland and the North Atlantic. Furthermore, the negative phase of the North Atlantic Oscillation and enhanced blocking are closely related and mutually reinforcing, shaping the spatial distribution of cold anomalies over much of the European continent. Our results suggest a link between the unusual decrease in Barents-Kara Sea ice during autumn and the occurrence of intense European weather extremes in subsequent winter months, emphasizing the need for delving deeper into this relationship on monthly time scales to enhance our predictive capabilities for midlatitude extreme events.</p></abstract>
<kwd-group>
<kwd>low sea ice</kwd>
<kwd>Barents-Kara Seas</kwd>
<kwd>European cold extremes</kwd>
<kwd>Rossby wave</kwd>
<kwd>atmospheric blocking</kwd>
</kwd-group>
<counts>
<fig-count count="7"/>
<table-count count="0"/>
<equation-count count="2"/>
<ref-count count="55"/>
<page-count count="12"/>
<word-count count="7636"/>
</counts>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-at-acceptance</meta-name>
<meta-value>Climate Monitoring</meta-value>
</custom-meta>
</custom-meta-wrap>
</article-meta>
</front>
<body>
<sec sec-type="intro" id="s1">
<title>1 Introduction</title>
<p>Observations indicate a significant warming of the Arctic region over the recent decades, accompanied by the accelerating decline of sea ice cover in all regions and for all seasons (Screen and Simmonds, <xref ref-type="bibr" rid="B38">2010</xref>; Stroeve et al., <xref ref-type="bibr" rid="B43">2011</xref>; Stroeve and Notz, <xref ref-type="bibr" rid="B42">2018</xref>; Ding et al., <xref ref-type="bibr" rid="B7">2022</xref>; Ionita, <xref ref-type="bibr" rid="B14">2023</xref>). The linear trend of the Arctic Sea ice extent in September is about &#x02212;13% per decade during 1979&#x02013;2017 (Serreze and Meier, <xref ref-type="bibr" rid="B39">2019</xref>). These variations in the Arctic sea ice conditions may trigger local and remote concurrent processes, influencing the regional surface energy budget (Screen and Simmonds, <xref ref-type="bibr" rid="B38">2010</xref>), atmospheric and ocean circulation patterns (Francis et al., <xref ref-type="bibr" rid="B8">2009</xref>; S&#x000E9;vellec et al., <xref ref-type="bibr" rid="B40">2017</xref>), and weather systems over Northern Hemisphere continents (Cohen et al., <xref ref-type="bibr" rid="B4">2014</xref>).</p>
<p>Despite intense efforts to understand Arctic-midlatitudes linkages, the controversy remains regarding a causal relationship between the Arctic sea ice conditions and mid-latitude weather extremes (e.g., Cohen et al., <xref ref-type="bibr" rid="B5">2020</xref>; Outten et al., <xref ref-type="bibr" rid="B25">2023</xref>). Numerous studies, such as Blackport et al. (<xref ref-type="bibr" rid="B1">2019</xref>), suggest that internal climatic variability, rather than direct causation, might drive the observed correlation between sea ice and mid-latitude winter temperatures. Several studies have used numerical models to assess their connections by forcing the climate models with reduced sea ice conditions and comparing the corresponding midlatitude temperature responses to those from simulations with increased sea ice extent, but the results do not support a robust causation (McCusker et al., <xref ref-type="bibr" rid="B23">2016</xref>; Sun et al., <xref ref-type="bibr" rid="B44">2016</xref>). Such results argue that a muted midlatitude response to sea-ice perturbations, suggesting that the mid-latitude cooling in winter may not be direct consequence of the Arctic sea ice retreat. Conversely, several studies based on observations (Hopsch et al., <xref ref-type="bibr" rid="B13">2012</xref>; Tang et al., <xref ref-type="bibr" rid="B45">2013</xref>) and model simulations (Mori et al., <xref ref-type="bibr" rid="B24">2014</xref>) do find a robust connection between cold winter extremes over the northern hemisphere and the Arctic Sea ice loss, suggesting that the latter forces the former. Thermodynamic forcing by sea ice reduction contributes to weather events by changing the large-scale atmospheric circulation and the internal shifts in atmospheric dynamics (Overland et al., <xref ref-type="bibr" rid="B26">2021</xref>).</p>
<p>The Barents Sea is among the regions most impacted by the reduction in sea ice, which has witnessed a substantial decline in sea ice extent due to global warming and climate change (Rieke et al., <xref ref-type="bibr" rid="B33">2023</xref> and the references therein). This decline, primarily attributed to rising temperatures driven by anthropogenic greenhouse gas emissions (Yamagami et al., <xref ref-type="bibr" rid="B52">2022</xref>), has transformed the dynamics of the delicate ecosystem. Moreover, it has been linked to the occurrence of cold and harsh winters over Europe. Overall, the reduction of sea ice cover in the Barents Sea has emerged as a critical environmental and climatic issue in recent years, with far-reaching consequences for weather patterns and temperatures across Europe, particularly during winter (Honda et al., <xref ref-type="bibr" rid="B11">2009</xref>; Petoukhov and Semenov, <xref ref-type="bibr" rid="B29">2010</xref>; Li et al., <xref ref-type="bibr" rid="B19">2023</xref>). This reduction of sea ice during autumn and early winter underscores the Arctic ecosystem&#x00027;s vulnerability and provides insights into the peculiar meteorological events occurring further south&#x02014;the colder and more severe winters experienced across Europe. More specifically, the reduction of Arctic sea ice in autumn, particularly over the Barents and Kara Seas (BKS, 65&#x000B0;-85&#x000B0;N, 30&#x000B0;-90&#x000B0;E; Petoukhov and Semenov, <xref ref-type="bibr" rid="B29">2010</xref>), can lead to warming and instability of the overlying atmosphere. The resulting preferential warming of the Arctic atmospheric column further causes an increase in geopotential height thickness and a decrease in the meridional temperature gradient, which may enhance upward propagating planetary waves into the stratosphere (Honda et al., <xref ref-type="bibr" rid="B11">2009</xref>) and slow the polar jet stream (Francis et al., <xref ref-type="bibr" rid="B8">2009</xref>).</p>
<p>On one hand, sufficient wave breaking in the stratosphere is conducive to disrupting and weakening the stratospheric polar vortex (SPV), potentially triggering sudden stratospheric warming (SSW) events (Cohen et al., <xref ref-type="bibr" rid="B4">2014</xref>; Peings et al., <xref ref-type="bibr" rid="B27">2023</xref>). Characterized by a low-pressure system encircled by strong westerly winds, the SPV confines the cold polar air masses to the polar region. A weak SPV favors the negative phase of the Arctic Oscillation (AO) or the North Atlantic Oscillation (NAO) at the surface (Kretschmer et al., <xref ref-type="bibr" rid="B17">2018a</xref>,<xref ref-type="bibr" rid="B18">b</xref>), implying an essential role for tropospheric-stratospheric coupling (Cohen et al., <xref ref-type="bibr" rid="B3">2021</xref>). On the other hand, weakening zonal winds increase the likelihood of slower and more amplified Rossby waves, leading to more frequent blocking (Preece et al., <xref ref-type="bibr" rid="B30">2023</xref>) characterized by persistent anticyclones disrupting the steady westerly flow. Due to its large spatial extent and temporal persistence, atmospheric blocking may cause large-scale circulation anomalies that substantially impact weather patterns and are often associated with significant climate anomalies (Rimbu and Lohmann, <xref ref-type="bibr" rid="B34">2011</xref>; Ionita et al., <xref ref-type="bibr" rid="B15">2016</xref>).</p>
<p>However, what remains unclear is how the monthly atmospheric circulation and the frequency of persistent cold anomalies respond to the decreased autumn sea ice in the BKS. Moreover, various extreme cold winters have occurred in the mid-latitude continents during ongoing global warming and sea ice decline (Cohen et al., <xref ref-type="bibr" rid="B4">2014</xref>; Kretschmer et al., <xref ref-type="bibr" rid="B17">2018a</xref>,<xref ref-type="bibr" rid="B18">b</xref>), affecting individuals, agriculture, and commerce directly. In this respect, here we trace the step-by-step development of atmospheric flow and the blocking frequency using composite analysis on the interannual timescale, to present observational evidence that explores the relationship between sea ice extent (SIE) variation in autumn and European extreme winter weather. In brief, the aim of this study is to answer three questions: (1) Is there a link between autumn sea ice conditions and monthly extreme cold events in Europe? If so, (2) what physical process might be involved in this association? And further to explore (3) the time evolution of atmospheric conditions associated with low sea ice on the interannual timescale.</p></sec>
<sec id="s2">
<title>2 Data and methods</title>
<sec>
<title>2.1 Data</title>
<p>Observations of monthly sea ice cover data for the period 1950&#x02013;2022, were obtained from the Hadley Center Sea Ice and Sea Surface Temperature data set (HadISST, Rayner et al., <xref ref-type="bibr" rid="B31">2003</xref>). SIE was quantified as the aggregate area where sea ice concentration exceeds a 15% threshold. To investigate the relationship of large-scale Northern Hemisphere atmospheric circulation to the initial sea ice forcing, we used the monthly sea level pressure (SLP), the 2m temperature (T2M), geopotential height and zonal and meridional winds at 500 and 100 hPa, with a grid-point resolution of 0.25&#x000B0; &#x000D7; 0.25&#x000B0;, in winter (DJF) from 1950/1951 to 2022/2023, which are available from the fifth generation European Center of Medium-Range Weather Forecasts atmospheric reanalysis (ERA5, Hersbach et al., <xref ref-type="bibr" rid="B10">2020</xref>). Before the analysis, all variables were linear detrended in order to eliminate the effects of global warming and accentuate the fluctuations. Further preprocessing included re-gridding to a uniform spatial resolution (1&#x000B0;&#x000D7;1&#x000B0;) through a bilinear interpolation.</p>
<p>Additionally, the observational daily minimum temperature (TN) and daily maximum temperature (TX) were extracted from the E-OBS database v27.0e (Cornes et al., <xref ref-type="bibr" rid="B6">2018</xref>) with a spatial resolution of 0.1&#x000B0;&#x000D7;0.1&#x000B0;. The daily geopotential height at 500 hPa (Z500) from the ERA5 reanalysis data (Hersbach et al., <xref ref-type="bibr" rid="B10">2020</xref>) during 1950&#x02013;2023 was used to calculate the blocking frequency, offering insight into atmospheric stability and blocking event occurrences.</p></sec>
<sec>
<title>2.2 Indices for extreme climate events</title>
<p>In this study, extreme climate events over Europe are captured by the monthly temperature indices, TN10p and TX10p, as defined by the Expert Team on Climate Change Detection and Indices (ETCCDI, Peterson et al., <xref ref-type="bibr" rid="B28">2001</xref>). TN10p is an index measuring the percentage of days when the daily minimum temperature is below the 10th percentile threshold calculated for each calendar day (regarding the climatological norm) using a running 5-day window. This is a measure of the percentage of cold nights. TX10p, on the other hand, is an index measuring the percentage of days when the daily maximum temperature is below the 10th percentile threshold, representing the percentage of cold days.</p></sec>
<sec>
<title>2.3 Computation of the 2D blocking frequency</title>
<p>We used the two-dimensional (2D) blocking frequency index (Scherrer et al., <xref ref-type="bibr" rid="B36">2006</xref>) to investigate the impacts of the SIE anomalies in the previous autumn (September-October-November) on the temperature conditions over Europe in the following winter. The 2D blocking index is based on the evaluation of blocking conditions at every grid point and goes beyond the one-dimensional blocking index (Tibaldi and Molteni, <xref ref-type="bibr" rid="B47">1990</xref>). This index is derived from the geopotential height gradients in the southern (GHGS) and northern (GHGN) sides of the blocking region, evaluated at three specific reference latitudes. The gradients are defined as:</p>
<disp-formula id="E1"><mml:math id="M1"><mml:mtable columnalign="left"><mml:mtr><mml:mtd><mml:mi>G</mml:mi><mml:mi>H</mml:mi><mml:mi>G</mml:mi><mml:mi>S</mml:mi><mml:mo>=</mml:mo><mml:mtext>&#x000A0;</mml:mtext><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi>Z</mml:mi><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:msub><mml:mrow><mml:mi>&#x003C6;</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msub></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mo>-</mml:mo><mml:mi>Z</mml:mi><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:msub><mml:mrow><mml:mi>&#x003C6;</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msub><mml:mo>-</mml:mo><mml:mn>1</mml:mn><mml:msup><mml:mrow><mml:mn>5</mml:mn></mml:mrow><mml:mrow><mml:mo>&#x000B0;</mml:mo></mml:mrow></mml:msup></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mo>/</mml:mo><mml:mn>1</mml:mn><mml:msup><mml:mrow><mml:mn>5</mml:mn></mml:mrow><mml:mrow><mml:mo>&#x000B0;</mml:mo></mml:mrow></mml:msup></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
<disp-formula id="E2"><mml:math id="M2"><mml:mtable columnalign="left"><mml:mtr><mml:mtd><mml:mi>G</mml:mi><mml:mi>H</mml:mi><mml:mi>G</mml:mi><mml:mi>N</mml:mi><mml:mo>=</mml:mo><mml:mtext>&#x000A0;</mml:mtext><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi>Z</mml:mi><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:msub><mml:mrow><mml:mi>&#x003C6;</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msub><mml:mo>&#x0002B;</mml:mo><mml:mn>1</mml:mn><mml:msup><mml:mrow><mml:mn>5</mml:mn></mml:mrow><mml:mrow><mml:mo>&#x000B0;</mml:mo></mml:mrow></mml:msup></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mo>-</mml:mo><mml:mi>Z</mml:mi><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:msub><mml:mrow><mml:mi>&#x003C6;</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msub></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mo>/</mml:mo><mml:mn>1</mml:mn><mml:msup><mml:mrow><mml:mn>5</mml:mn></mml:mrow><mml:mrow><mml:mo>&#x000B0;</mml:mo></mml:mrow></mml:msup></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
<p>where &#x003C6;<sub>0</sub> is the latitude of the considered grid point.</p>
<p>A grid point is defined as instantaneous blocking if the conditions GHGS &#x0003E; 0 and GHGN &#x0003C; (&#x02212;10 m/degrees of latitude) are simultaneously satisfied. A blocking event is detected if continuous instantaneous blocking covers at least 5 consecutive days. For each winter, the blocking frequency is defined as the ratio between the total number of days of blocking events and the total number of winter days. According to Scherrer et al. (<xref ref-type="bibr" rid="B36">2006</xref>), blockings are detected separately at each grid point within the latitude zone 35&#x000B0;-75&#x000B0;N.</p></sec>
<sec>
<title>2.4 Composite analysis</title>
<p>Composite analyses were applied to depict the typical pattern and physical mechanism responsible for connecting between the autumn sea ice extent (SIE) in the Barents-Kara Seas and the atmospheric circulation, surface air temperature, and blocking frequency. Years in which the value of the detrended SIE time series in autumn was above (or below) &#x000B1;0.8 standard deviation were classified as high (or low) SIE years. This threshold was selected based on its statistical significance in distinguishing distinct sea ice conditions, ensuring a robust differentiation between years with high or low SIE, while maintaining a sufficient sample size for analysis. To examine the relationship between autumn sea ice and the following European weather conditions, monthly blocking frequency and cold extreme indices anomalies in the subsequent winter-to-autumn were also performed in composite analysis. The threshold value used for the composite analysis does not significantly alter the results. The statistical significance of the composite maps at the 5% significance level is established by Welch&#x00027;s <italic>t</italic>-test (Welch, <xref ref-type="bibr" rid="B50">1947</xref>).</p></sec></sec>
<sec sec-type="results" id="s3">
<title>3 Results</title>
<p>The linear detrended time series of autumn SIE over the BKS for 1950&#x02013;2022 (<xref ref-type="fig" rid="F1">Figure 1</xref>) exhibits substantial interannual variability. To understand the association between atmospheric circulation and different autumn sea ice states and their relation to extreme cold events in Europe, we constructed the composite maps between the linear detrended time series of autumn SIE over the BKS for the years when the values of the index were higher than 0.8 standard deviation (high) and lower than &#x02212;0.8 standard deviation (low). Statistically, the total number of high and low autumn SIE episodes considered were 15 and 14 cases, respectively, as derived from <xref ref-type="fig" rid="F1">Figure 1</xref>.</p>
<fig id="F1" position="float">
<label>Figure 1</label>
<caption><p>The linear detrended autumn SIE over the BKS (65&#x000B0;-85&#x000B0;N, 30&#x000B0;-90&#x000B0;E) from 1950 to 2022 in HadISST observations (Rayner et al., <xref ref-type="bibr" rid="B31">2003</xref>). The gray-dashed lines represent the bounds of &#x000B1;0.8 standard deviations from the mean. Years exceeding these bounds are marked with red (above) and blue (below) dots, respectively.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fclim-06-1345763-g0001.tif"/>
</fig>
<p><xref ref-type="fig" rid="F2">Figures 2</xref>, <xref ref-type="fig" rid="F3">3</xref> depict winter atmospheric anomalies corresponding to different autumn sea ice conditions over the BKS. In the low SIE case (<xref ref-type="fig" rid="F2">Figure 2</xref>), the composite map of the 100 hPa geopotential height (Z100) anomaly (<xref ref-type="fig" rid="F2">Figure 2A</xref>) indicates that strong anomalous easterlies dominate the circulation for almost the whole 50&#x000B0;N-70&#x000B0;N latitudinal band, thereby reducing westerly flow. These wind differences match the associated changes of Z100 field well, with a maximum anomaly of 100 gpm over the central Arctic. Additionally, the Z500 composite (<xref ref-type="fig" rid="F2">Figure 2B</xref>) presents relatively large positive values concentrated between the Greenland Sea and the Barents Sea. Predominantly, except over the North Atlantic and North Pacific, a barotropic structure is evident. The intensification of the meridional component of the mid-troposphere circulation is visible up and downstream of the Greenland Sea during low SIE situations.</p>
<fig id="F2" position="float">
<label>Figure 2</label>
<caption><p>Composite maps for the Z100 <bold>(A)</bold>, Z500 <bold>(B)</bold> with corresponding wind vectors, SLP <bold>(C)</bold>, and T2M <bold>(D)</bold> for winter (DJF) during low autumn SIE in BKS. The dots highlight significant anomalies at a confidence level of 95%.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fclim-06-1345763-g0002.tif"/>
</fig>
<fig id="F3" position="float">
<label>Figure 3</label>
<caption><p>Composite maps for the Z100 <bold>(A)</bold>, Z500 <bold>(B)</bold> with corresponding wind vectors, SLP <bold>(C)</bold>, and T2M <bold>(D)</bold> for winter (DJF) during high autumn SIE in BKS. The dots highlight significant anomalies at a confidence level of 95%.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fclim-06-1345763-g0003.tif"/>
</fig>
<p>The SLP pattern (<xref ref-type="fig" rid="F2">Figure 2C</xref>) resembles the fingerprint of the negative phase of AO (Thompson and Wallace, <xref ref-type="bibr" rid="B46">1998</xref>), associated with a positive pressure anomaly in the polar region. This structure is caused by the decrease of autumn sea ice in the BKS, which may lead to the increase of SST over the BKS region. These responses encompassed a strengthening of both the Aleutian low and the Siberian high, accompanied by an equatorward shift of the midlatitude westerlies (Outten et al., <xref ref-type="bibr" rid="B25">2023</xref>). The intensified Siberian high and the shifted westerly winds, contribute to significant cooling over the mid and high latitudes of the Eurasian continent, as shown in <xref ref-type="fig" rid="F2">Figure 2D</xref>. This cooling extends southward to the whole of Europe. This pattern appears to be a &#x0201C;warm Arctic and cold continent (WACE)&#x0201D; pattern (Hong et al., <xref ref-type="bibr" rid="B12">2023</xref>). Strong warming over the BKS is contrasted by considerable cooling in adjacent northern Eurasia in the following winter. Although of smaller magnitude, negative surface air temperature anomalies also cover a large part of North America.</p>
<p>The atmospheric circulations linked to sea ice conditions in the BKS reveals a meridional asymmetry in the winter WACE configuration (Luo et al., <xref ref-type="bibr" rid="B21">2022</xref>). High SIE years (<xref ref-type="fig" rid="F3">Figure 3</xref>) are marked by a strengthened polar vortex (<xref ref-type="fig" rid="F3">Figure 3A</xref>) and a positive AO (<xref ref-type="fig" rid="F3">Figure 3C</xref>), promoting a robust zonal jet stream and consequent retention of cold air in the polar region, with concurrent Eurasian warming (<xref ref-type="fig" rid="F3">Figure 3D</xref>). Conversely, low SIE years are associated with a destabilized climate system, with ensuing weather extremes. These contrasting circulation and temperature anomalies are crucial to deciphering the dynamical processes driving recent extreme weather events across Europe.</p>
<p>Subsequent analysis centers on low autumn SIE conditions within the BKS, given their correlation with distinct atmospheric regimes. We illustrate the composite maps of Z100 (<xref ref-type="fig" rid="F4">Figure 4</xref>), Z500 (<xref ref-type="fig" rid="F5">Figure 5</xref>), and blocking frequency (<xref ref-type="fig" rid="F6">Figure 6</xref>) anomalies for the following December to May, associated with anomalously low autumn SIE over the BKS. The primary reason for using monthly averages rather than short event durations is that we are interested in persistent conditions on interannual time scales. Findings related to high SIE conditions are presented within the <xref ref-type="supplementary-material" rid="SM1">Supplementary Figures 1</xref>&#x02013;<xref ref-type="supplementary-material" rid="SM1">3</xref>.</p>
<fig id="F4" position="float">
<label>Figure 4</label>
<caption><p>Composites of Z100 and 100 hPa wind vector anomalies for the following December to May, relative to the detrended autumn SIE in BKS below &#x02212;0.8 standard deviation (low SON SIE). The dots highlight significant anomalies at a confidence level of 95%. <bold>(A)</bold> December. <bold>(B)</bold> January. <bold>(C)</bold> February. <bold>(D)</bold> March. <bold>(E)</bold> April. <bold>(F)</bold> May.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fclim-06-1345763-g0004.tif"/>
</fig>
<fig id="F5" position="float">
<label>Figure 5</label>
<caption><p>Composites of Z500 and 500 hPa wind vector anomalies for the following December to May, relative to the detrended autumn SIE in BKS below &#x02212;0.8 standard deviation (low SON SIE). The dots highlight significant anomalies at a confidence level of 95%. <bold>(A)</bold> December. <bold>(B)</bold> January. <bold>(C)</bold> February. <bold>(D)</bold> March. <bold>(E)</bold> April. <bold>(F)</bold> May.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fclim-06-1345763-g0005.tif"/>
</fig>
<fig id="F6" position="float">
<label>Figure 6</label>
<caption><p>Blocking frequency composite maps for the following December to May, relative to the detrended autumn SIE in BKS below &#x02212;0.8 standard deviation (low SON SIE). The dots highlight significant anomalies at a confidence level of 95%.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fclim-06-1345763-g0006.tif"/>
</fig>
<p>A major controlling factor for the classic winter cold-air outbreaks into mid-latitudes is the occurrence of SPV disruptions and displacements over the continents. This atmospheric response can be regarded as resulting from the stationary Rossby wave generated by the warming of the lower troposphere, which is caused by the decrease in autumn sea ice cover (Cohen et al., <xref ref-type="bibr" rid="B3">2021</xref>). To better illustrate the factors contributing to SPV disruptions, <xref ref-type="fig" rid="F4">Figure 4</xref> shows the monthly evolution of the composite Z100 anomaly for the following December to May next year. The choice of such a low stratospheric level depends on this being particularly crucial for the troposphere-stratosphere coupling (Garfinkel et al., <xref ref-type="bibr" rid="B9">2017</xref>).</p>
<p>The positive anomalies dominated the Arctic region for most of the study period, indicating a weakening of the polar vortex associated with stratospheric warming. However, the behavior of SPV in early winter (December) differs from that in mid-winter and spring. In December (<xref ref-type="fig" rid="F4">Figure 4A</xref>), the vortex may be pushed away from the pole or split. The progressively weaker states of the SPV can be clearly seen from January (<xref ref-type="fig" rid="F4">Figure 4B</xref>) to March (<xref ref-type="fig" rid="F4">Figure 4D</xref>), mainly manifested as a positive Z100 anomaly centered over Greenland/Central Arctic. Climatologically, the SPV emerges in the autumn, reaches its strongest state in January, and gradually diminishes in the spring (Zhang et al., <xref ref-type="bibr" rid="B54">2022</xref>). However, our results suggest that the SPV reaches its peak strength in February. The positive anomalies in February (<xref ref-type="fig" rid="F4">Figure 4C</xref>) are more extensive than those in January (<xref ref-type="fig" rid="F4">Figure 4B</xref>), with a focus from the Greenland Sea to the East Siberian Sea, intensifying the positive anomaly. This pattern is not perfectly symmetrical around the North Pole, but anticyclonic anomalies shift toward the western hemisphere. Besides, when examining the temporal evolution of their intensities, it is observed that the Z100 anomalies peak in intensity in February. This pattern diminishes in March and then gradually weakens at a slow pace in the following 2 months. In April (<xref ref-type="fig" rid="F4">Figure 4E</xref>), the Z100 anomalies present an east-west contrast over the Arctic region, characterized by a positive anomaly center over Russia and a negative one over Canada.</p>
<p><xref ref-type="fig" rid="F5">Figure 5</xref> tracks the monthly evolution of Z500 anomaly composite under low sea ice conditions. Generally, the anomaly composite maps exhibit a higher degree of zonal symmetry in the lower stratosphere (<xref ref-type="fig" rid="F4">Figure 4</xref>), but wavy signatures dominate the troposphere with little zonal symmetry (<xref ref-type="fig" rid="F5">Figure 5</xref>). The coherence of the positive and negative anomalies in the troposphere and the lower stratosphere suggests a downward influence by anomalous behavior of SPV on the tropospheric circulation from December to January, consistent with previous findings (e.g., Zhang et al., <xref ref-type="bibr" rid="B53">2018</xref>). In addition, the most crucial feature of the Z500 anomalies corresponds to the intensification of the meridional component of the mid-troposphere circulation, which is visible in the following months (<xref ref-type="fig" rid="F5">Figure 5</xref>). On the contrary, high SIE episodes are characterized by an intensification of the zonal circulation (<xref ref-type="fig" rid="F2">Figure 2C</xref>).</p>
<p>When tracking the month-by-month evolutions, we find pronounced north-south meanders in 500 hPa circulation anomalies in December (<xref ref-type="fig" rid="F5">Figure 5A</xref>), with negative anomalies in the mid-latitudes except over the northern Europe, which provided a dynamic setting driving cold polar air to plunge southward into Europe. In January (<xref ref-type="fig" rid="F5">Figure 5B</xref>), the Z500 anomaly pattern shows some resemblance to the negative phase of the winter AO, and the jet stream gradually intensifies. Negative Z500 anomalies can be observed over southwestern Europe, while positive anomalies form in higher latitudes. This pattern expands slightly westward, even magnifying the positive anomalies and diminishing the negative ones, reaching its strongest state in February (<xref ref-type="fig" rid="F5">Figure 5C</xref>). Two intense anticyclonic circulations associated with the positive anomalies develop, one around the west coast of Greenland and the other from the east coast of Greenland extending to the Barents Sea. Meanwhile, the negative anomaly diminishes and shifts toward the Atlantic, which is relevant for the heat transport into southern European. This situation is associated with an enforced north-south geopotential height gradient, and thus the atmospheric flow is diverted around it with an intense anomalous flow from the north, allowing cold air to penetrate southwards. In March (<xref ref-type="fig" rid="F5">Figure 5D</xref>), the anticyclonic vortex anomaly decreases over southern Greenland, being accompanied by relatively weak positive Z500 anomalies. The anomalies associated with the south of the jet location are very similar to the negative pattern of the NAO, and the jet stream is located further south than its climatology. Specifically, a relatively elongated negative anomaly to the south indicates an increased meridional gradient and a strong jet stream lying to the south of the anticyclonic anomaly. <xref ref-type="fig" rid="F5">Figures 5B</xref>&#x02013;<xref ref-type="fig" rid="F5">D</xref> illustrates that a weakened SPV is associated with tropospheric circulation anomalies during late winter, resembling characteristics of the negative phase of the NAO. As such, the anomalous propagation of the Rossby waves may be the precursor to forcing the NAO signals in the troposphere.</p>
<p>Atmospheric blocking is a large-scale mid-latitude atmospheric phenomenon primarily associated with persistent anticyclonic quasi-stationary high-pressure systems, which typically extend vertically throughout the troposphere. When the high-latitude jet stream develops large and nearly-stationary meanders (e.g., <xref ref-type="fig" rid="F5">Figure 5A</xref>), the strong westerly winds shift to a more meridional flow instead of their typical zonal path, facilitating additional blocking events. It makes weather systems move more slowly or even become stationary (Rex, <xref ref-type="bibr" rid="B32">1950</xref>), which is particularly important for the formation of extreme weather events. In winter, the east side of blocking events is often responsible for the equatorward advection of polar air masses, contributing to anomalously cold winter temperatures (Sillmann and Croci-Maspoli, <xref ref-type="bibr" rid="B41">2009</xref>).</p>
<p>Starting in December, in low SIE conditions relative to high SIE, a center of enhanced blocking activity over Northeastern Europe, coupled with a center of relatively weaker blocking activity over Greenland, is observed (<xref ref-type="fig" rid="F6">Figure 6A</xref>). The blocking activity over Greenland intensifies in January and moves down the southwest coast of Greenland, reaching its peak phase in February (<xref ref-type="fig" rid="F6">Figure 6C</xref>) before vanishing over time. This movement can have significant implications for regional weather, potentially leading to abnormal conditions in areas affected by the block. The center of the blocking activity over Northeastern Europe remains and subsequently shifts to couple with a center of enhanced blocking activity over Barents Sea (<xref ref-type="fig" rid="F6">Figures 6B</xref>, <xref ref-type="fig" rid="F6">C</xref>), thus the more robust flow anomaly. Interestingly, there is a tendency for blocking events along the longitudes spanning from the Baffin Bay and Europe from January to February, suggesting a widespread disruption of typical atmospheric circulation. In February (<xref ref-type="fig" rid="F6">Figure 6C</xref>), the positive anomalies merge and shift southward, extending more than in January, forming one broad and a continuous intensified block across Greenland and Northern Europe. Notably, Ural blocking (50&#x000B0;-70&#x000B0;N, 50&#x000B0;E&#x02212;70&#x000B0;E) in February shows a pronounced intensification, which strengthens the Siberian High, facilitating the advection of cold Arctic air over the continent. The configuration of anomalous blocking frequency in March (<xref ref-type="fig" rid="F6">Figure 6D</xref>) corresponds to Greenland blocking known to be associated with the negative NAO phase (Woollings et al., <xref ref-type="bibr" rid="B51">2010</xref>), which is usually related to the splitting of the jet stream into two distinct branches (Trigo et al., <xref ref-type="bibr" rid="B48">2004</xref>). Then, like other variables, the atmospheric circulation system adjusts to a stable state within a short period.</p>
<p>We examine furthermore the monthly evolution of the spatial structure of extreme cold events in Europe. <xref ref-type="fig" rid="F7">Figure 7</xref> shows the composite for TN10p anomalies, which appears to be influenced by the combined effect of the atmospheric circulation variables. The insignificant change in TN10p in December (<xref ref-type="fig" rid="F7">Figure 7A</xref>) indicates that the cold air from the Arctic does not yet penetrate southwards into mid-latitudes, and the slight warming signals in central Europe may be related to the ridges transporting warm air northward. In January (<xref ref-type="fig" rid="F7">Figure 7B</xref>), pronounced cold anomalies appear in Europe, especially over Norway and Ireland, while positive anomalies can be observed over Turkey. This pattern may be associated with the southerly inflow of warm and humid air masses from the Atlantic (<xref ref-type="fig" rid="F5">Figure 5B</xref>). The widespread pattern of extreme cold remains robust in February (<xref ref-type="fig" rid="F7">Figure 7C</xref>) with an amplified magnitude over the central and western Europe, while some regions in the south experience warmer conditions. Central and eastern continental cold winters are linked to increased Ural blocking frequency (<xref ref-type="fig" rid="F6">Figure 6C</xref>), which amplifies cold advection and radiative cooling of the continental interior while weakening westerly flow and warm, moist air imports (Zhang et al., <xref ref-type="bibr" rid="B55">2012</xref>). In relation with low SIE over the BKS, large parts of Europe (i.e., 36&#x000B0;-72&#x000B0;N, 12&#x000B0;W&#x02212;36&#x000B0;E) experiences an increase of up to 4.32 days of cold nights in February. In March (<xref ref-type="fig" rid="F7">Figure 7D</xref>), the cold European anomaly persists and extends to the east, while the warm anomalies in the southern part expand in coverage and extend to the northwest, but significant negative anomalies can be seen on the northeastern coast of the Black Sea. Even if there is no notable blocking at the same time (<xref ref-type="fig" rid="F6">Figure 6D</xref>), the predominance of these cold anomalies may still relate to the persistence of blocking situation. In April (<xref ref-type="fig" rid="F7">Figure 7E</xref>), the TN10p indicates weakened negative anomalies that gradually shift toward the western European. The cyclonic circulation around western Europe (<xref ref-type="fig" rid="F5">Figure 5F</xref>) transports warmer Atlantic air masses to the continent, essentially shaping the general pattern encompassing Europe.</p>
<fig id="F7" position="float">
<label>Figure 7</label>
<caption><p>TN10p composite maps for the following December to May, relative to the detrended autumn SIE in BKS below &#x02212;0.8 standard deviation (low SON SIE). TN10p values are presented in percentages, indicating the percent of cold nights per month. To enhance interpretability, values are presented with a negative sign, where blue indicates cooler conditions and red indicates warmer conditions. The dots highlight significant anomalies at a confidence level of 95%. <bold>(A)</bold> December. <bold>(B)</bold> January. <bold>(C)</bold> February. <bold>(D)</bold> March. <bold>(E)</bold> April. <bold>(F)</bold> May.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fclim-06-1345763-g0007.tif"/>
</fig>
<p><xref ref-type="supplementary-material" rid="SM1">Supplementary Figure 4</xref> presents the composite for TX10p anomalies, which align closely with the patterns observed in TN10p in terms of spatial distribution and temporal evolution. Notably, February (<xref ref-type="supplementary-material" rid="SM1">Supplementary Figure 4C</xref>) exhibits a pronounced increase in cold days across Europe, exhibiting stronger cooling anomalies compared to the concurrent period in TN10p (<xref ref-type="fig" rid="F7">Figure 7C</xref>). Quantitatively, there is an increase of up to 5.90 days of cold days throughout the continent. Transitioning to April and May, localized cold anomalies become relatively prominent, with regions like the western side of Finland displaying cooling.</p>
<p>The robust features revealed that persistent winter cold extremes occur in the presence of atmospheric blocking. Overall, blocking influences the local weather conditions around the block, particularly the European cold extremes are associated with mid- and high-latitude blocking over the European continent as well as the North Atlantic. Europe is the dominant region because of the configuration of a strong and meridionally tilted storm track upstream of a large landmass (Kautz et al., <xref ref-type="bibr" rid="B16">2022</xref>). Northerly advection anomalies mainly cause cold anomalies over most of Europe to the east of the blocking core. Over the North Atlantic, blocking is strongly correlated with the negative phase of the NAO that itself is associated with the development of cold European winters. During the negative phase of NAO, the synoptic pattern provides diffluent flow conditions favorable for the onset and maintenance of blocking systems (Luo et al., <xref ref-type="bibr" rid="B22">2015</xref>). In addition, blocking occurs over Greenland (e.g., <xref ref-type="fig" rid="F6">Figure 6D</xref>), which is associated with the negative phase of NAO and has strong downstream impacts in Europe (Rimbu and Lohmann, <xref ref-type="bibr" rid="B34">2011</xref>; Kretschmer et al., <xref ref-type="bibr" rid="B17">2018a</xref>,<xref ref-type="bibr" rid="B18">b</xref>).</p></sec>
<sec sec-type="conclusions" id="s4">
<title>4 Conclusions</title>
<p>In this study we examine the influence of autumn sea ice variation over the BKS on severe European extreme winters. Using observational data to track interannual variability, we show the sequential evolution in the spatial configuration of atmospheric variables and winter extremes. We investigate the evolution pathways of atmospheric circulation and blocking frequency that are associated with autumn low sea ice on a monthly timescale. While various, often multifaceted, factors contribute to European cold extremes, our focus is on discerning the potential linkage with autumn low sea ice year in the BKS. Employing a composite analysis of 14 distinct low and 15 high sea ice cases from 1950 to 2022, we aim to underscore consistent patterns. Our findings indicate a statistical relationship between low sea ice over the BKS during autumn and changes in large-scale atmospheric circulation patterns and the blocking dynamics, which are associated with extreme cold winters over Europe. Results suggest a connection between autumn sea ice variability in the BKS and European cooling; however, the analysis cannot clarify whether the link is causal or the result of internal variability in the climate system. It&#x00027;s important to note that this process is just one of many factors contributing to extreme weather events in Europe, and it doesn&#x00027;t operate in isolation. Overall, the relationship between low sea ice over the BKS and cold winters in Europe is part of a complex interplay of factors. As with the broader Arctic region, the sea ice reduction acts as a contributor, but it also interacts with other climatic drivers and feedback loops in the atmosphere (Cohen et al., <xref ref-type="bibr" rid="B5">2020</xref>). Thus, the exact impact on European winters can vary from year to year, and the strength of causality vs. correlation can fluctuate accordingly.</p>
<p>The local and remote atmospheric circulation clearly links to sea ice change over the BKS, consistent with findings by Cohen et al. (<xref ref-type="bibr" rid="B4">2014</xref>) and subsequent studies. Dominant positive Z100 anomalies in the Arctic in winter indicate a weakening SPV, often associated with SSW events. The peak strength of SPV, observed in February, spans from the Greenland Sea to the East Siberian Sea. This dynamic may affect the tropospheric and surface circulation conditions within about 1 month. This downward influence mechanism explains the deformation in the spatial structure of the tropospheric circulation anomalies and the southward movement of the jet stream. Then, a negative AO/NAO pattern emerges as the dominant tropospheric circulation, which develops in December and reaches its largest amplitude in February.</p>
<p>In addition to changes in the large-scale atmospheric circulation, thermodynamic forcing from decreasing sea ice can also contribute to weather conditions through the internal shifts in atmospheric dynamics (Screen, <xref ref-type="bibr" rid="B37">2017</xref>). In particular, blocking activity is critical to European flow changes due to its capability to interfere with the main cyclonic westerly flow, which typically leads to persistent weather conditions around the block for 1&#x02013;2 months (Buehler et al., <xref ref-type="bibr" rid="B2">2011</xref>). We demonstrate that cold extremes in Europe can be attributed to the presence and persistence of atmospheric blocking systems over Greenland and the North Atlantic, especially during late winter (e.g., February). However, the cold anomalies are usually not located directly below the blocking center, but rather downstream or south of it. This is why extreme cold temperatures are most pronounced over central Europe.</p>
<p>The results presented here indicate that not only the atmospheric circulation realignment but also variations in blocking frequency can be crucial for the frequency of occurrence of mid-latitude weather extremes. The negative phase of NAO provides diffuse flow conditions that further facilitate the onset and sustainment of blocking systems (Luo et al., <xref ref-type="bibr" rid="B22">2015</xref>). The intensified blocking activity and the negative phase of NAO are closely related and work to reinforce each other, each associated with and jointly shaping the spatial distribution of cold anomalies over large parts of European continent (Rimbu et al., <xref ref-type="bibr" rid="B35">2014</xref>; Wegmann et al., <xref ref-type="bibr" rid="B49">2020</xref>). Specifically, cold anomalies at TN10p and TX10p in large parts of Europe are mainly caused by northerly flow anomalies in the eastern part of the blocking core region, while warm anomalies in southern Europe correspond to the cyclonic circulation in the North Atlantic associated with the negative phase of the NAO. Quantitatively speaking, there is an increase of up to 5.90 days of cold days and 4.32 days of cold nights throughout the European continent during February, showing the tangible impact of these atmospheric dynamics on regional climates.</p>
<p>Overall, the Arcti c sea ice does not merely respond passively to global climate change, but instead, its changes affect weather conditions in other regions bridging spatio-temporal scales (Lohmann et al., <xref ref-type="bibr" rid="B20">2020</xref>; Outten et al., <xref ref-type="bibr" rid="B25">2023</xref>). Our results imply that the autumn anomalous low BKS sea ice in autumn is associated with severe European extremes in subsequent winters. However, the application of <italic>t</italic>-tests for significance assessment and linear detrending for interannual variability may not adequately address the complex, non-linear interplays within climate data. This work acts as an initial step toward elucidating these connections, underlining the necessity for advanced statistical approaches and detrending methods to clarify causality. Continued examination of this association on a monthly timescale in imperative for enhancing our understanding of the sub-seasonal to seasonal predictability of midlatitude extreme events, thereby refining future climate projections.</p></sec>
<sec sec-type="data-availability" id="s5">
<title>Data availability statement</title>
<p>Publicly available datasets were analyzed in this study. This data can be found at: <ext-link ext-link-type="uri" xlink:href="https://www.metoffice.gov.uk/hadobs/hadisst">https://www.metoffice.gov.uk/hadobs/hadisst</ext-link>; <ext-link ext-link-type="uri" xlink:href="https://www.ecmwf.int/en/forecasts/dataset/ecmwf-reanalysis-v5">https://www.ecmwf.int/en/forecasts/dataset/ecmwf-reanalysis-v5</ext-link>; <ext-link ext-link-type="uri" xlink:href="https://etccdi.pacificclimate.org">https://etccdi.pacificclimate.org</ext-link>.</p></sec>
<sec sec-type="author-contributions" id="s6">
<title>Author contributions</title>
<p>DC: Writing &#x02013; original draft. GL: Writing &#x02013; review &#x00026; editing. XC: Writing &#x02013; review &#x00026; editing. MI: Writing &#x02013; review &#x00026; editing.</p></sec>
</body>
<back>
<sec sec-type="funding-information" id="s7">
<title>Funding</title>
<p>The author(s) declare financial support was received for the research, authorship, and/or publication of this article. This work was supported by BMBF through the project: Abrupt Climate Shifts and Extremes over Eurasia in Response to Arctic Sea Ice Change (ACE), under Grant 01LP2004A. This work was supported by the National Key R&#x00026;D Program of China under Grant 2019YFA0607000. DC was also supported by the China Scholarship Council (202106330036).</p>
</sec>
<ack><p>We acknowledge support by AWI through its research infrastructure in the topic: Ocean and Cryosphere under climate change, as part of the Helmholtz Program: Changing Earth&#x02014;Sustaining our Future. Support by the Helmholtz Climate Initiative REKLIM was gratefully acknowledged. We acknowledge the Hadley Center Sea Ice and Sea Surface Temperature data set (HadISST), the European Center of Medium-Range Weather Forecasts (ECMWF), and the Expert Team on Climate Change Detection and Indices (ETCCDI) for making their data available to us.</p>
</ack>
<sec sec-type="COI-statement" id="conf1">
<title>Conflict of interest</title>
<p>The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec sec-type="disclaimer" id="s8">
<title>Publisher&#x00027;s note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
<sec sec-type="supplementary-material" id="s9">
<title>Supplementary material</title>
<p>The Supplementary Material for this article can be found online at: <ext-link ext-link-type="uri" xlink:href="https://www.frontiersin.org/articles/10.3389/fclim.2024.1345763/full#supplementary-material">https://www.frontiersin.org/articles/10.3389/fclim.2024.1345763/full#supplementary-material</ext-link></p>
<supplementary-material xlink:href="Data_Sheet_1.docx" id="SM1" mimetype="application/vnd.openxmlformats-officedocument.wordprocessingml.document" xmlns:xlink="http://www.w3.org/1999/xlink"/></sec>
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