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<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Earth Sci.</journal-id>
<journal-title>Frontiers in Earth Science</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Earth Sci.</abbrev-journal-title>
<issn pub-type="epub">2296-6463</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
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<article-meta>
<article-id pub-id-type="publisher-id">861015</article-id>
<article-id pub-id-type="doi">10.3389/feart.2022.861015</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Earth Science</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Distinct Mid-Latitude Eurasian Rossby Wave Trains Preceding Strong and Weak Cold Surges in Southern China</article-title>
<alt-title alt-title-type="left-running-head">Lin and Cheung</alt-title>
<alt-title alt-title-type="right-running-head">Cold Surges in Southern China</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Lin</surname>
<given-names>Juanjuan</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Cheung</surname>
<given-names>Ho-Nam</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1172387/overview"/>
</contrib>
</contrib-group>
<aff id="aff1">
<sup>1</sup>
<institution>School of Atmospheric Sciences, Sun Yat-sen University, and Southern Marine Science and Engineering Guangdong Laboratory (Zhuhai)</institution>, <addr-line>Zhuhai</addr-line>, <country>China</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>Yingde Meteorological Bureau</institution>, <addr-line>Qingyuan</addr-line>, <country>China</country>
</aff>
<aff id="aff3">
<sup>3</sup>
<institution>Guangdong Province Key Laboratory for Climate Change and Natural Disaster Studies</institution>, <institution>Sun Yat-sen University</institution>, <addr-line>Zhuhai</addr-line>, <country>China</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>
<bold>Edited by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1474987/overview">Dabang Jiang</ext-link>, Institute of Atmospheric Physics (CAS), China</p>
</fn>
<fn fn-type="edited-by">
<p>
<bold>Reviewed by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1660396/overview">Zhongda Lin</ext-link>, Institute of Atmospheric Physics (CAS), China</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1666884/overview">Dong Si</ext-link>, Institute of Atmospheric Physics (CAS), China</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Ho-Nam Cheung, <email>zhanghlan5@mail.sysu.edu.cn</email>, <email>hoffmancheung@gmail.com</email>
</corresp>
<fn fn-type="other">
<p>This article was submitted to Atmospheric Science, a section of the journal Frontiers in Earth Science</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>12</day>
<month>04</month>
<year>2022</year>
</pub-date>
<pub-date pub-type="collection">
<year>2022</year>
</pub-date>
<volume>10</volume>
<elocation-id>861015</elocation-id>
<history>
<date date-type="received">
<day>24</day>
<month>01</month>
<year>2022</year>
</date>
<date date-type="accepted">
<day>17</day>
<month>03</month>
<year>2022</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2022 Lin and Cheung.</copyright-statement>
<copyright-year>2022</copyright-year>
<copyright-holder>Lin and Cheung</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>This study investigates the large-scale circulation anomalies of strong and weak cold surges in southern China. Results show that the strong and weak surges are associated with a distinct Rossby wave train across Eurasia projecting onto the Scandinavia (SCAND) and Eurasian (EU) patterns. On one hand, the strong surge is preceded by a positive SCAND pattern and a transition of the EU pattern from its negative to positive phase. The corresponding wave train propagates southeastward from East Asia to the North Pacific. This is associated with a strong intensification of the Siberian high, a deepened East Asian trough, and a sharp meridional pressure gradient between northern and southern China; these advect intense cold air masses from Siberia to southern China. On the other hand, the weak surge is preceded by a negative SCAND pattern and a positive EU pattern. The corresponding wave train does not propagate from East Asia to the North Pacific. This wave train has a weak impact on the East Asian winter monsoon circulation and corresponds to weak cold air advections towards southern China. Overall, the intra-seasonal variation of the Eurasian teleconnection patterns is crucial for a comprehensive understanding of the cold surge in southern China.</p>
</abstract>
<kwd-group>
<kwd>cold surge</kwd>
<kwd>Siberian high</kwd>
<kwd>Rossby wave train</kwd>
<kwd>Eurasian pattern</kwd>
<kwd>Scandinavian pattern</kwd>
</kwd-group>
<contract-sponsor id="cn001">Natural Science Foundation of Guangdong Province<named-content content-type="fundref-id">10.13039/501100003453</named-content>
</contract-sponsor>
<contract-sponsor id="cn002">National Natural Science Foundation of China<named-content content-type="fundref-id">10.13039/501100001809</named-content>
</contract-sponsor>
</article-meta>
</front>
<body>
<sec id="s1">
<title>1 Introduction</title>
<p>During the boreal winter, the cold air outbreak associated with the breakdown of the cold-core Siberian high often intrudes equatorward over the East Asian continent, which is also literally described as cold surge or winter monsoon surge (<xref ref-type="bibr" rid="B14">Chin, 1969</xref>; <xref ref-type="bibr" rid="B24">Lau and Li, 1984</xref>; <xref ref-type="bibr" rid="B18">Ding, 1994</xref>; <xref ref-type="bibr" rid="B7">Chang et al., 2006</xref>). The southward intrusion of a cold surge often results in strengthening of the near-surface northerly wind and an abrupt temperature drop in the subtropical region of East Asia, including southern China (<xref ref-type="bibr" rid="B4">Chang et al., 1979</xref>; <xref ref-type="bibr" rid="B55">Wu and Chan, 1995</xref>). Although the winter climate in southern China is warmer than the northern China, the severe cold air activity occurs in southern China occasionally, such as the persistent icy rain and snowstorms in early 2008 (<xref ref-type="bibr" rid="B19">Ding et al., 2008</xref>; <xref ref-type="bibr" rid="B51">Tao and Wei, 2008</xref>; <xref ref-type="bibr" rid="B54">Wen et al., 2009</xref>; <xref ref-type="bibr" rid="B62">Zhou et al., 2009</xref>), the &#x201c;once-in-the-century&#x201d; cold surge in late January 2016 (<xref ref-type="bibr" rid="B12">Cheung et al., 2016</xref>; <xref ref-type="bibr" rid="B36">Ma and Zhu, 2019</xref>; <xref ref-type="bibr" rid="B57">Yamaguchi et al., 2019</xref>) and the intense cold surges in late 2020 (<xref ref-type="bibr" rid="B3">Bueh et al., 2022</xref>; <xref ref-type="bibr" rid="B16">Dai et al., 2022</xref>; <xref ref-type="bibr" rid="B61">Zheng et al., 2022</xref>). Under the global warming background, the frequency of cold extremes is projected to substantially decrease [<xref ref-type="bibr" rid="B43">Seneviratne et al., 2021</xref> (Ch. 11 in IPCC AR6 report)]. However, under a warmer climate, the center of extreme cold events is projected to shift southward towards southern China (<xref ref-type="bibr" rid="B37">Ma et al., 2012</xref>). During the recent decades, the abrupt change between warm and cold extremes has occurred more frequently in China (<xref ref-type="bibr" rid="B10">Chen et al., 2019</xref>). Hence, it is valuable to have an improved physical understanding of the cold surge in southern China, which is the objective of this study.</p>
<p>The cold air activity affecting China is generally originated from three regions: 1) west of Novaya Zemlya over the Arctic Ocean, 2) east of Novaya Zemlya over the Arctic Ocean, and 3) south of Iceland over the Atlantic Ocean (<xref ref-type="bibr" rid="B17">Ding and Krishnamurti, 1987</xref>). The cold air masses from these regions usually travel across central Siberia (70&#xb0;&#x2013;90&#xb0;E, 43&#xb0;&#x2013;65&#xb0;N) and intrudes China via the northwestern, western and/or eastern pathway (<xref ref-type="bibr" rid="B17">Ding and Krishnamurti, 1987</xref>). When a synoptic-scale trough in the mid- and upper troposphere deepens over central Siberia, the surface Siberian high intensifies due to radiative cooling ahead of the trough intensifies and the northerly cold air advection from the polar region (<xref ref-type="bibr" rid="B60">Ding, 1990</xref>; <xref ref-type="bibr" rid="B56">Wu and Chan, 1997</xref>). The eastward migration of the upper-level trough triggers an eastward movement of the Siberian high. When the Siberian high touches the Tibetan Plateau, the Siberian high breaks down and initiates a cold surge (<xref ref-type="bibr" rid="B22">Hsu, 1987</xref>; <xref ref-type="bibr" rid="B58">Yao et al., 2016</xref>). The cold surge migrates southeastward to the main part of China, which takes around 2&#xa0;days from northern China to the South China Sea (<xref ref-type="bibr" rid="B15">Chu, 1978</xref>). The cold surge affects the convection and precipitation over the South China Sea and the Maritime Continents (<xref ref-type="bibr" rid="B28">Lim and Chang, 1981</xref>; <xref ref-type="bibr" rid="B31">Liu et al., 2021</xref>), as well as the baroclinic wave activity across the North Pacific (<xref ref-type="bibr" rid="B25">Lau and Lau, 1984</xref>).</p>
<p>The development of an East Asian cold surge is often related to the Rossby wave train over Eurasia (<xref ref-type="bibr" rid="B23">Joung and Hitchman, 1982</xref>; <xref ref-type="bibr" rid="B49">Takaya and Nakamura, 2005a</xref>; <xref ref-type="bibr" rid="B41">Park et al., 2011</xref>; <xref ref-type="bibr" rid="B40">Pang and Lu, 2019</xref>). During the cold surge development, the mid- and upper-tropospheric geopotential height in central Asia and East Asia is often out of phase (<xref ref-type="bibr" rid="B6">Chang and Lau, 1980</xref>, <xref ref-type="bibr" rid="B5">1982</xref>). Specifically, a ridge is located at central Asia and a trough is located aloft the Siberian high, where the former is also called Ural ridge in literature. The Ural ridge enhances the cold air advection from the vicinity of Novaya Zemlya to Siberia that reinforces the Siberian high (<xref ref-type="bibr" rid="B47">Takaya and Nakamura, 2005b</xref>). Hence, the Ural ridge is regarded as a dynamic precursor of the East Asian cold surge (<xref ref-type="bibr" rid="B50">Tao, 1957</xref>; <xref ref-type="bibr" rid="B33">Lu and Chang, 2009</xref>). The persistence of a Ural ridge is called Ural blocking, which is a key precursor of the severe cold air outbreak in East Asia (<xref ref-type="bibr" rid="B50">Tao, 1957</xref>; <xref ref-type="bibr" rid="B62">Zhou et al., 2009</xref>; <xref ref-type="bibr" rid="B12">Cheung et al., 2016</xref>; <xref ref-type="bibr" rid="B8">Chen et al., 2021</xref>; <xref ref-type="bibr" rid="B59">Yao et al., 2022</xref>). The long-term variations in the frequency of Ural blocking and that of cold extremes in southern China are strongly correlated (<xref ref-type="bibr" rid="B11">Cheung et al., 2015</xref>).</p>
<p>The development of Ural blocking is preceded by the intensification of an upstream cyclone over the European continent. The low-high-low geopotential height anomaly pattern over Europe, the Urals and East Asia is the leading mode of the winter-mean geopotential height anomaly over Eurasia (<xref ref-type="bibr" rid="B13">Cheung et al., 2012</xref>). Such a Eurasian Rossby wave train often resembles the Eurasian (EU) pattern, the East Atlantic/West Russia (EA/WR) pattern and the Scandinavian (SCAND) pattern (<xref ref-type="bibr" rid="B2">Bueh and Nakamura, 2007</xref>; <xref ref-type="bibr" rid="B32">Liu et al., 2014</xref>; <xref ref-type="bibr" rid="B30">Lim, 2015</xref>; <xref ref-type="bibr" rid="B52">Wang et al., 2019</xref>). Previous studies have analyzed extensively the relationship between the Rossby waves and the East Asian winter climate on monthly and longer timescales (<xref ref-type="bibr" rid="B20">He and Wang, 2013</xref>; <xref ref-type="bibr" rid="B29">Lim and Kim, 2013</xref>; <xref ref-type="bibr" rid="B48">Takaya and Nakamura, 2013</xref>; <xref ref-type="bibr" rid="B32">Liu et al., 2014</xref>; <xref ref-type="bibr" rid="B9">Chen and Song, 2019</xref>; <xref ref-type="bibr" rid="B27">Li et al., 2019</xref>; <xref ref-type="bibr" rid="B42">Qiao et al., 2020</xref>), whereas their linkage on the sub-monthly timescales is less studied. Recently, <xref ref-type="bibr" rid="B39">Pang et al. (2020</xref>, <xref ref-type="bibr" rid="B38">2022)</xref> showed that the long-lived cold surge (longer than 5&#xa0;days) in the South China Sea is associated with a negative SCAND pattern and Siberian blocking. Here, we will demonstrate that the low-frequency circulation anomalies over the mid-latitude Eurasia prior to the occurrence of strong and weak cold surges in southern China are distinct, which have a distinct evolution of the EU pattern and the SCAND pattern.</p>
</sec>
<sec id="s2">
<title>2 Data and Methods</title>
<sec id="s2-1">
<title>2.1 Data</title>
<p>We used daily archives from the NCEP-NCAR reanalysis datasets with a horizontal resolution of 2.5&#xb0; &#xd7; 2.5&#xb0; at 17 isobaric levels from 1,000 to 10&#xa0;hPa. The study period includes the 41 winters from 1979/80 to 2019/20, e.g., the winter 1979/80 denotes the winter from December 1979 to February 1980 (December-January-February; DJF). The daily climatology is defined as the 30-year period from 1980 to 2009.</p>
</sec>
<sec id="s2-2">
<title>2.2 Cold Surge</title>
<p>When a cold surge passes through southern China, the sea level pressure (SLP) increases and then the surface air temperature drops abruptly. Here, the cold surge in southern China is defined using the daily surface air temperature averaged over the region 22.5&#xb0;&#x2013;25.0&#xb0;N and 112.5&#xb0;&#x2013;117.5&#xb0;E. The begin of a cold surge (day &#x2b; 0) satisfies the following two criteria: 1) the daily temperature drop exceeds the 10-th percentile of all winter days (&#x2212;1.44&#xb0;C), i.e. a significant drop in temperature (&#x201c;surge&#x201d;), 2) the daily temperature is lower than the daily climatology, i.e. below-average temperature (&#x201c;cold&#x201d;). A cold surge is terminated (day &#x2b; <italic>n</italic>) when either 1) the daily temperature exceeds the daily climatology for two consecutive days or 2) the daily temperature increases and the daily temperature exceeds the temperature averaged in the previous 2&#xa0;days.</p>
<p>Following the above criteria, 344 cold surges are identified. The average number of cold surges per winter is eight, which is close to the number in previous literature; for example, <xref ref-type="bibr" rid="B41">Park et al. (2011)</xref> showed that the South China coast has about ten surges per winter (see their Figure 10D), and <xref ref-type="bibr" rid="B40">Pang and Lu (2019)</xref> found that southern China has about nine surges per winter. The intensity of a cold surge is defined as the difference between the daily-mean temperature on day&#x2b;0 and the lowest daily temperature throughout the cold surge. The strong and weak surges are defined as the first and last 25-th percentile (86 events &#x3d; 344 &#xd7; 0.25) of the cold surge intensity, i.e. the surge leads to a larger and smaller temperature drop in southern China, respectively.</p>
<p>The daily temperature change and the daily temperature anomaly averaged over southern China (22.5&#xb0;&#x2013;25.0&#xb0;N and 112.5&#xb0;&#x2013;117.5&#xb0;E) from day-5 to day&#x2b;7 of the cold surge are presented in <xref ref-type="fig" rid="F1">Figure 1</xref>. The maximum temperature drop occurs between day&#x2b;0 and day&#x2b;1 (i.e., the value on day&#x2b;0 shown in <xref ref-type="fig" rid="F1">Figure 1A</xref>), where the magnitude reaches &#x2b;5.0&#xb0;C for the strong surge and &#x2b;2.0&#xb0;C for the weak surge. Compared to the weak surge, the larger temperature drop during the occurrence of the strong surge (<xref ref-type="fig" rid="F1">Figure 1A</xref>) is characterized by a sharper temperature change from a larger above-normal value (&#x2b;4&#xb0;C) to a stronger below-normal value (&#x2212;4&#xb0;C) (<xref ref-type="fig" rid="F1">Figure 1B</xref>). After the arrival of the cold surge, the minimum temperature is attained on day&#x2b;2 for both strong and weak surges, where in the strong surge such a low temperature is comparable on day&#x2b;2 and day&#x2b;3 (<xref ref-type="fig" rid="F1">Figure 1B</xref>). The cold anomaly in southern China lasts for around 6&#xa0;days in the strong surge and only 3&#xa0;days in the weak surge (<xref ref-type="fig" rid="F1">Figure 1B</xref>). Overall, the strong surge is more intense and more persistent; it has a stronger impact on the weather in southern China than the weak surge. We will compare the large-scale circulation features of the strong and weak surges in <xref ref-type="sec" rid="s3-2">section 3.2</xref>.</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>Temperature variations in southern China (22.5&#xb0;&#x2013;25.0&#xb0;N and 112.5&#xb0;&#x2013;117.5&#xb0;E) from day-5 to day &#x2b;7 of a cold surge: <bold>(A)</bold> daily temperature change (difference between day <italic>n</italic> &#x2b; 1 and day <italic>n</italic>), <bold>(B)</bold> daily temperature anomaly. Unit: &#xb0;C. In each plot, black, blue and red color represents the climatological, strong and weak cold surge, respectively. Solid lines indicate the values averaged across the surges belonging to the same category, and error bars denote the 95% confidence interval derived from the standard error across the surges belonging to the same category.</p>
</caption>
<graphic xlink:href="feart-10-861015-g001.tif"/>
</fig>
<p>The composite method is used to depict the large-scale circulation features of the climatological, strong and weak cold surges. A two-tailed Student&#x2019;s <italic>t</italic>-test is used to determine the level of significance of the circulation anomalies in the strong and weak surges versus the climatological cold surge.</p>
</sec>
<sec id="s2-3">
<title>2.3 Low-Frequency Circulation Features</title>
<p>The unfiltered circulation anomalies are composed of high-frequency and low-frequency components, where the high-frequency component is related to the synoptic disturbance. A 10-day low-pass filter is used extract the low-frequency geopotential height, where the synoptic disturbances are filtered out. Based on the low-frequency geopotential height, we can deduce if the large-scale circulation features resemble a low-frequency Rossby wave train and specific teleconnection patterns. This low-frequency field is also used to compute the horizontal component of the stationary wave activity fluxes (<xref ref-type="bibr" rid="B46">Takaya and Nakamura, 2001</xref>) that diagnose the propagation of low-frequency Rossby waves over the Eurasian continent<disp-formula id="equ1">
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</disp-formula>where <italic>U</italic> and <italic>V</italic> are the zonal and meridional component of the winter climatological flow <bold>
<italic>V</italic>
</bold> (i.e. basic state), <italic>p</italic> is the pressure level, <italic>&#x471;</italic>&#x2019; is the perturbation stream function derived from the 10-day low-pass filtered geopotential height anomaly.</p>
<p>We also investigate the linkage between the teleconnection patterns and the cold surges on sub-seasonal timescales. The NAO, EU and SCAND patterns are obtained by applying a rotated empirical orthogonal function (REOF) analysis to the DJF-mean 700-hPa geopotential height, which follows the definition in <xref ref-type="bibr" rid="B1">Barnston and Livezey (1987)</xref>. The first, sixth and ninth REOF (REOF1, REOF6 and REOF9) pattern resembles the NAO, the EU pattern and the SCAND pattern (<xref ref-type="fig" rid="F2">Figure 2</xref>). Then, these REOF patterns are projected onto the daily 700-hPa geopotential height anomalies in order to obtain the daily NAO, EU and SCAND indices.</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>The positive phase of <bold>(A)</bold> the NAO (North Atlantic Oscillation), <bold>(B)</bold> the EU (Eurasian) pattern and <bold>(C)</bold> the SCAND (Scandinavian) pattern obtained from the REOF analysis performed to the DJF-mean 700-hPa geopotential height anomalies from 1979/80 to 2019/20 [following the definition in <xref ref-type="bibr" rid="B1">Barnston and Livezey (1987)</xref>].</p>
</caption>
<graphic xlink:href="feart-10-861015-g002.tif"/>
</fig>
</sec>
</sec>
<sec id="s3">
<title>3 Results</title>
<sec id="s3-1">
<title>3.1 Climatology of the Cold Surge</title>
<p>We revisit the large-scale circulation anomalies of the climatological cold surge in southern China before comparing the strong and weak cold surges. The development of a climatological cold surge is preceded by a dipole anomaly resembling an eastward shift of the positive phase of NAO, with a high centered near the Iberian Peninsula (<xref ref-type="fig" rid="F3">Figure 3A1</xref>). Such a dipole pattern weakens from day-4 to day-1 (<xref ref-type="fig" rid="F3">Figures 3A1&#x2013;D1</xref>), indicating a decaying positive NAO-like pattern preceding the occurrence of the cold surge in southern China (<xref ref-type="fig" rid="F4">Figure 4</xref>). Meanwhile, an anomalous upper-tropospheric ridge moves eastward from eastern Europe and intensifies over the Ural Mountains (<xref ref-type="fig" rid="F3">Figures 3A1&#x2013;D1</xref>). The above results are analogous to the impact of a decaying NAO event on the Ural ridge and the East Asian winter circulation mentioned by previous studies (<xref ref-type="bibr" rid="B34">Luo et al., 2010</xref>; <xref ref-type="bibr" rid="B45">Sung et al., 2011</xref>; <xref ref-type="bibr" rid="B53">Wang et al., 2011</xref>; <xref ref-type="bibr" rid="B44">Song and Wu, 2017</xref>; <xref ref-type="bibr" rid="B35">Lyu et al., 2019</xref>).</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>Climatology of <bold>(A1&#x2013;F1)</bold> the sea level pressure anomalies (shaded; hPa) and the 500-hPa geopotential height anomalies (contour interval: 10&#xa0;m), and <bold>(A2&#x2013;F2)</bold> the air temperature (shaded; &#xb0;C) and wind (vector; ms<sup>&#x2212;1</sup>) at the 925&#xa0;hPa from day-4 and day &#x2b;1 of a cold surge. Stippling denotes the Tibetan Plateau. Note that the zero contour lines are omitted and positive/negative values are denoted by solid/dashed lines.</p>
</caption>
<graphic xlink:href="feart-10-861015-g003.tif"/>
</fig>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>Daily time-series of normalized NAO, EU and SCAND indices from day-21 to day &#x2b;21 of a climatological cold surge, where the error bars indicate the 95% confidence interval of the teleconnection indices derived from the standard error across the 344 cold surges.</p>
</caption>
<graphic xlink:href="feart-10-861015-g004.tif"/>
</fig>
<p>The intensification of the Ural ridge from day-4 to day-1 (<xref ref-type="fig" rid="F3">Figures 3A1-D1</xref>) is associated with stronger cold air advection from the polar region to Siberia (<xref ref-type="fig" rid="F3">Figures 3A2&#x2013;D2</xref>). The northerly cold air advection reinforces the upper-tropospheric trough over western Siberia and the cold-core Siberian high near the surface, where these circulation features become prominent between day-2 to day-1 (<xref ref-type="fig" rid="F3">Figures 3C1, D1, C2, D2</xref>). While the Siberian high intensifies from day -1 to day &#x2b;0, the Siberian high and its associated upper-tropospheric trough move eastward across the northeastern flank of the Tibetan Plateau (<xref ref-type="fig" rid="F3">Figures 3D1, E1</xref>). Following that, from day &#x2b;0 to day &#x2b;1, the positive anomaly over Siberia (45&#xb0;&#x2013;60&#xb0;N, 80&#xb0;&#x2013;120&#xb0;E) weakens and the positive SLP anomaly center moves southeastward (<xref ref-type="fig" rid="F3">Figures 3E1, F1</xref>), indicating the breakdown and southeastward migration of the Siberian high. The movement of Siberian high results in a southeastward intrusion of the cold air masses towards southern China, which is characterized by an abrupt drop of the surface air temperature in southern China according to the cold surge definition (also inferred from <xref ref-type="fig" rid="F3">Figures 3E2, F2</xref>).</p>
<p>When the cold surge approaches southern China, the temperature and SLP gradients along southern China tighten (<xref ref-type="fig" rid="F3">Figures 3E1, E2</xref>). Whereas southern China is warmer than normal with a below-normal SLP, northern China is cooler than normal with an above-normal SLP (<xref ref-type="fig" rid="F3">Figures 3E1, E2</xref>). Accompanying the southeastward migration of the Siberian high, the tightened gradients advect cold air towards southern China and cause an abrupt drop in the surface air temperature. The passage of the cold surge across southern China is also characterized by strengthening of the northerly wind, where the anomalous wind direction changes from southerly to northerly from day &#x2b;0 to day &#x2b;1 (<xref ref-type="fig" rid="F3">Figures 3E2, F2</xref>). The large-scale circulation anomalies of the climatological cold surge resemble the northerly surge in southern China mentioned in <xref ref-type="bibr" rid="B55">Wu and Chan (1995</xref>, <xref ref-type="bibr" rid="B56">1997)</xref>.</p>
<p>In short, the development of a climatological cold surge follows an eastward propagating Rossby wave train associated with the decay of a positive NAO-like pattern. The following changes in the Eurasian teleconnection are also denoted (<xref ref-type="fig" rid="F4">Figure 4</xref>): First, the SCAND pattern is transited from a slight positive phase to a negative phase: this is related to the eastward movement of a positive height anomaly (ridge) from eastern Europe to Siberia (<xref ref-type="fig" rid="F3">Figures 3A1&#x2013;E1</xref>), where the positive height anomaly over eastern Europe is projected onto the positive SCAND phase. Second, a positive EU pattern evolves: this is related to the positive height anomalies over eastern Atlantic and Siberia and the negative height anomalies over Scandinavia and around 40&#xb0;N in East Asia (<xref ref-type="fig" rid="F3">Figures 3D1&#x2013;F1</xref>). Are the strong and weak cold surges associated with circulation anomalies analogous to the climatological cold surge?</p>
</sec>
<sec id="s3-2">
<title>3.2 Distinct Evolution of Strong and Weak Cold Surges</title>
<sec id="s3-2-1">
<title>3.2.1 Strong Cold Surge</title>
<p>The strong and weak surges in southern China are preceded by pronounced circulation anomalies over the mid-latitude Eurasian continent (<xref ref-type="fig" rid="F5">Figure 5</xref>), where the circulation anomalies associated with the strong surge are different from the positive NAO-like pattern associated with the climatological cold surge (left panel in <xref ref-type="fig" rid="F5">Figure 5</xref> vs. left panel in <xref ref-type="fig" rid="F3">Figure 3</xref>). Compared to the climatological surge, the development of the strong surge is preceded by a less apparent dipole-like pattern over the North Atlantic and a stronger anomalous high over northern Europe (<xref ref-type="fig" rid="F5">Figures 5A1, B1</xref>). The stronger European high advects more cold polar air towards the eastern Europe and the high-latitude Asia (<xref ref-type="fig" rid="F6">Figures 6A1, B1</xref>) than the climatological surge (<xref ref-type="fig" rid="F3">Figure 3A2</xref>). This anomalous high is associated with a Rossby wave train emanating from the North Atlantic to Siberia (<xref ref-type="fig" rid="F7">Figure 7A1</xref>).</p>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption>
<p>Composite anomalies of sea level pressure (shaded; hPa) and 500-hPa geopotential height (contour interval: 15&#xa0;m) from day-6 to day&#x2b;2 of a <bold>(A1&#x2013;E1)</bold> strong and <bold>(A2&#x2013;E2)</bold> weak cold surge. Dots and Green contours indicate the 95% confidence interval that is significantly different from the climatological cold surge using the two tailed Student&#x2019;s <italic>t</italic>-test. Note that the zero contour lines are omitted and positive/negative values are denoted by solid/dashed lines.</p>
</caption>
<graphic xlink:href="feart-10-861015-g005.tif"/>
</fig>
<fig id="F6" position="float">
<label>FIGURE 6</label>
<caption>
<p>As in <xref ref-type="fig" rid="F5">Figure 5</xref>, but for the composite anomalies of air temperature (shaded; &#xb0;C) and wind (vector; ms<sup>&#x2212;1</sup>) at 925&#xa0;hPa. White dots and vectors indicate the anomalies significantly different from the climatological cold surge at the 95% confidence level using the two tailed Student&#x2019;s <italic>t</italic>-test.</p>
</caption>
<graphic xlink:href="feart-10-861015-g006.tif"/>
</fig>
<fig id="F7" position="float">
<label>FIGURE 7</label>
<caption>
<p>The 3-day averaged 10-day low-pass filtered 250-hPa geopotential height anomalies (shaded; m) and the stationary wave activity fluxes (vector; m<sup>2</sup>s<sup>&#x2212;2</sup>) during the evolution of a <bold>(A1&#x2013;D1)</bold> strong and <bold>(A2&#x2013;D2)</bold> weak cold surge. Note that the zero contour lines are omitted and positive/negative values are denoted by solid/dashed lines.</p>
</caption>
<graphic xlink:href="feart-10-861015-g007.tif"/>
</fig>
<p>The anomalous high over Eurasia represents a stronger meridional-type circulation over part of the mid-latitude Eurasian continent. When the anomalous high is located over Europe from day-6 to day-4, an anomalous low spreads across the high-latitude Asia (<xref ref-type="fig" rid="F5">Figures 5A1, B1</xref>). The anomalous low is associated with stronger westerly wind over Siberia that advects less cold polar air equatorward over Asia. Correspondingly, the Siberian high and the East Asian cold air activity are weaker than normal, which can be depicted by a negative SLP anomaly over Siberia (<xref ref-type="fig" rid="F5">Figures 5A1, B1</xref>) and warm anomalies in East Asia (<xref ref-type="fig" rid="F6">Figures 6A1, B1</xref>). From day-4 to day-2, associated with the southeastward propagation of wave activity fluxes from western Siberia to East Asia (<xref ref-type="fig" rid="F7">Figure 7A2</xref>), the weaker Siberian high extends southeastward to southern China (<xref ref-type="fig" rid="F5">Figures 5B1, C1</xref>), and southern China is warmer than normal associated with southerly wind anomalies (weaker northerly wind; <xref ref-type="fig" rid="F6">Figure 6C1</xref>). The above results suggest that the development of the strong surge begins with a stronger zonal-type circulation over Asia that causes a weaker Siberian high.</p>
<p>The East Asian circulation north of 40&#xb0;N undergoes a sharp transition from the stronger zonal-type circulation to the stronger meridional-type circulation from day-2 to day &#x2b;0 of the strong surge (<xref ref-type="fig" rid="F5">Figures 5C1, D1</xref>). Associated with the eastward propagation of the Rossby wave train over the mid-latitude Eurasian continent (<xref ref-type="fig" rid="F7">Figures 7B1, C1</xref>), the anomalous high moves from eastern Europe to Ural-Siberia. The anomalous Ural-Siberian high strengthens the northerly cold advection from the polar region to western Siberia, and the pronounced cold anomalies spread southeastward to the northern China (<xref ref-type="fig" rid="F6">Figures 6C1, D1</xref>). The downstream portion of this anomalous high reinforces the upper-tropospheric convergence and the near-surface divergence over western Siberia (<xref ref-type="bibr" rid="B60">Ding, 1990</xref>), which in turn substantially strengthens the upper-tropospheric trough over western Siberia and the near-surface Siberian high (<xref ref-type="fig" rid="F5">Figures 5C1, D1</xref>). Downstream of the upper-tropospheric trough over western Siberia is an upper-tropospheric high centered near 40&#xb0;N over East Asia. Such an anomalous high advects warm air from the Pacific towards southern China, which corresponds to southerly wind anomalies and warm anomalies over southern China (<xref ref-type="fig" rid="F6">Figures 6C1, D1</xref>). In addition, the SLP over southern China is still below normal (<xref ref-type="fig" rid="F5">Figures 5C1, D1</xref>), which is related to the southeastward extension of the weak Siberian high associated with the southeastward propagation of the Rossby wave train (<xref ref-type="fig" rid="F5">Figures 5C1, D1</xref>, <xref ref-type="fig" rid="F7">Figure 7C1</xref>). Altogether, prior to the occurrence of the strong cold surge in southern China, pressure and temperature gradients are tightened between northern China and southern China accompanying the southeastward propagation of a Rossby wave train signal across East Asia.</p>
<p>During the outbreak of the strong cold surge, the anomalous Ural-Siberian high remains quasi-stationary with an equivalent barotropic structure, which resembles a blocking ridge (<xref ref-type="fig" rid="F5">Figures 5D1, E1</xref>). The blocking ridge over Ural-Siberia favors the occurrence of a severe cold surge in southern China (<xref ref-type="bibr" rid="B11">Cheung et al., 2015</xref>; <xref ref-type="bibr" rid="B39">Pang et al., 2020</xref>). The downstream impact of the Ural blocking ridge on southern China can be depicted by the southeastward propagation of the Rossby wave train over East Asia (<xref ref-type="fig" rid="F7">Figures 7C1, D1</xref>). Specifically, the anomalous cyclone downstream of the blocking ridge moves southward from day &#x2b;0 to day &#x2b;2 (<xref ref-type="fig" rid="F5">Figures 5D1, E1</xref>). This implies deepening of the East Asian trough that enhances the southward intrusion of intense cold air masses from Siberia to southern China (<xref ref-type="bibr" rid="B26">Leung et al., 2015</xref>). The temperature in southern China sharply drops from day &#x2b;0 to day &#x2b;2, where the anomaly changes from significant positive to significant negative (<xref ref-type="fig" rid="F6">Figures 6D1, E1</xref>) that is consistent with <xref ref-type="fig" rid="F1">Figure 1B</xref>. Overall, the evolution of the strong surge is linked to the eastward propagation of a Rossby wave train from Europe to the North Pacific, which is similar to the wave train-type cold surge mentioned in previous studies (<xref ref-type="bibr" rid="B23">Joung and Hitchman, 1982</xref>; <xref ref-type="bibr" rid="B49">Takaya and Nakamura, 2005a</xref>; <xref ref-type="bibr" rid="B41">Park et al., 2011</xref>).</p>
<p>The Rossby wave train associated with the strong cold surge (<xref ref-type="fig" rid="F7">Figures 7A1&#x2013;D1</xref>) is linked to the sub-seasonal change in the EU and SCAND patterns. Between day-6 to day-4 of the strong surge, the Rossby wave train over Eurasia consists of a negative height anomaly over the North Atlantic, a positive height anomaly over Scandinavia and another negative height anomaly is centered over central Asia (<xref ref-type="fig" rid="F7">Figure 7A1</xref>). This spatial pattern strongly resembles the negative phase of EU (<xref ref-type="fig" rid="F8">Figure 8A</xref>), which is linked to weaker East Asian winter monsoon activity. Between day-4 to day-2, the negative height anomaly over the North Atlantic weakens, the positive height anomaly over Scandinavia slightly moves eastward, and the negative height anomaly over Asia strengthens (<xref ref-type="fig" rid="F7">Figure 7B1</xref>). These circulation anomalies are linked to the intensification of the Siberian high; they are projected onto the positive phase of SCAND (<xref ref-type="fig" rid="F8">Figure 8A</xref>). The Rossby wave train propagates eastward further across the East Asian continent (<xref ref-type="fig" rid="F7">Figures 7C1, D1</xref>) during the occurrence of the strong surge. Between day &#x2b;0 and day &#x2b;2, the height anomalies over a large part of the Eurasian continent are opposite in sign to the height anomalies between day-6 and day-4 (<xref ref-type="fig" rid="F7">Figures 7D1</xref> vs. <xref ref-type="fig" rid="F7">7A1</xref>), such that the EU pattern attains its positive phase (<xref ref-type="fig" rid="F8">Figure 8A</xref>).</p>
<fig id="F8" position="float">
<label>FIGURE 8</label>
<caption>
<p>As in <xref ref-type="fig" rid="F4">Figure 4</xref>, but for a <bold>(A)</bold> strong and <bold>(B)</bold> weak cold surge.</p>
</caption>
<graphic xlink:href="feart-10-861015-g008.tif"/>
</fig>
<p>In short, the eastward propagation of Eurasian wave train associated with the strong surge is characterized by a transition of the EU pattern from its negative to positive phase and the evolution of a positive SCAND pattern, whereas the NAO signal is weak (<xref ref-type="fig" rid="F8">Figure 8A</xref>). Note that the positive SCAND pattern and the EU pattern is peaked at day-3 and day &#x2b;0, respectively. The positive SCAND pattern can be regarded as a precursor of the strong surge, whereas the occurrence of strong surge is projected onto the positive EU pattern.</p>
</sec>
<sec id="s3-2-2">
<title>3.2.2 Weak Cold Surge</title>
<p>The circulation anomalies over the mid-latitude Eurasia preceding the development of the weak surge are in sharp contrast to those preceding the development of the strong surge (right panel vs. left panel in <xref ref-type="fig" rid="F5">Figure 5</xref>). From day-6 to day &#x2b;0 of the weak surge, a dipole-like anomaly persists over the Euro-Atlantic region (<xref ref-type="fig" rid="F5">Figures 5A2&#x2013;D2</xref>), which resembles an eastward shift of the positive NAO-like pattern as in the climatological surge (<xref ref-type="fig" rid="F3">Figures 3A1&#x2013;E1</xref>). Meanwhile, an anomalous low with an equivalent barotropic structure moves eastward from Scandinavia to the Ural Mountains (<xref ref-type="fig" rid="F5">Figures 5A2&#x2013;D2</xref>). This anomalous low advects warm air towards the Ural-Siberian region (<xref ref-type="fig" rid="F6">Figures 6A2&#x2013;D2</xref>). The development of this anomalous low is associated with the emanation of wave activity fluxes from an anomalous high located at the mid-latitude Euro-Atlantic region (<xref ref-type="fig" rid="F7">Figures 7A2, B2</xref>). These anomalous pressure systems correspond to a stronger meridional pressure gradient and stronger zonal flow over the European continent. Hence, the evolution of the weak surge begins with a stronger zonal-type circulation over Europe.</p>
<p>When the anomalous low is located upstream adjacent to the Siberian high region from day-2 to day &#x2b;0 (<xref ref-type="fig" rid="F5">Figures 5C2&#x2013;D2</xref>), the low strengthens the southwesterly warm advection towards the Siberian high (<xref ref-type="fig" rid="F6">Figures 6C2, D2</xref>), which unlikely reinforces the Siberian high. Meanwhile, associated with the eastward propagation of a Rossby wave train over the mid-latitude Eurasia (<xref ref-type="fig" rid="F7">Figures 7C2, D2</xref>), an anomalous high develops over central Siberia (<xref ref-type="fig" rid="F5">Figures 5C2, D2</xref>). This anomalous high strengthens the northeasterly advection from eastern Siberia towards central Siberia (<xref ref-type="fig" rid="F6">Figures 6C2, D2</xref>). Such northeasterly advection favors intensification of the Siberian high, where climatologically the air temperature in the eastern Siberia is also lower than the central-western Siberia (figure not shown). Comparatively, the anomalous high over Siberia associated with the weak surge is less intense than the strong cold surge (<xref ref-type="fig" rid="F5">Figures 5C2, D2</xref> vs. <xref ref-type="fig" rid="F5">Figures 5C1, D1</xref>), corresponding to a weaker intensification of the Siberian high.</p>
<p>Moreover, the intensification of the Siberian high preceding the occurrence of the weak surge is associated with a weaker propagation of the Rossby wave train compared to the strong surge (<xref ref-type="fig" rid="F7">Figures 7B2, C2</xref> vs. <xref ref-type="fig" rid="F7">Figures 7B1, C1</xref>). During the occurrence of the weak surge, the associated mid-latitude Eurasian Rossby wave train does not propagate further eastward towards the Pacific Ocean (<xref ref-type="fig" rid="F7">Figures 7C2, D2</xref>), and the anomalous low downstream of the anomalous high over Siberia is less apparent (<xref ref-type="fig" rid="F5">Figures 5D2, E2</xref>). In other words, compared to the strong surge, the mid-latitude Eurasian Rossby wave train associated with the weak surge has a weaker impact on the East Asian trough and the cold air activity affecting southern China. The weaker impact on southern China is evidenced by the smaller temperature variation in southern China during the passage of the weak surge than the strong surge (<xref ref-type="fig" rid="F6">Figures 6D2, E2</xref> vs. <xref ref-type="fig" rid="F6">Figures 6D1, E1</xref>; see also <xref ref-type="fig" rid="F1">Figure 1B</xref>).</p>
<p>The Rossby wave train associated with the weak cold surge is linked to the sub-seasonal change in the NAO, EU and SCAND patterns, where the evolution of these patterns is different from the strong cold surge (<xref ref-type="fig" rid="F8">Figures 8B</xref> vs. <xref ref-type="fig" rid="F8">Figure 8A</xref>). The wave train preceding the occurrence of the weak surge consists of pronounced circulation anomalies in the Euro-Atlantic region, with negative height anomalies over Scandinavia and positive height anomalies in eastern Atlantic (<xref ref-type="fig" rid="F7">Figures 7A2, B2</xref>). Such a northeast-southwest oriented dipole pattern partly resembles the positive NAO and the positive EU (<xref ref-type="fig" rid="F8">Figure 8B</xref>). When the negative height anomalies move eastward towards the Ural Mountains, the positive height anomalies over central Siberia evolve (<xref ref-type="fig" rid="F7">Figures 7B2, C2</xref>). These circulation anomalies are projected stronger onto the positive EU and the negative SCAND pattern (<xref ref-type="fig" rid="F8">Figure 8B</xref>). The EU and SCAND patterns attain the peak intensity around day-2 to day-1. Moreover, the dipole-like anomaly over the North Atlantic persists during the development of the weak surge (<xref ref-type="fig" rid="F7">Figures 7A2&#x2013;C2</xref>), such that the positive NAO persists (<xref ref-type="fig" rid="F8">Figure 8B</xref>). Therefore, the weak cold surge evolves under a positive NAO-like background, together with the establishment of a positive EU pattern and a negative SCAND pattern.</p>
</sec>
</sec>
</sec>
<sec id="s4">
<title>4 Summary and Conclusions</title>
<p>The development of the climatological, strong and weak cold surges in southern China is associated with the eastward propagation of a Rossby wave train across the Eurasian continent. Whereas the wave train propagation associated with the climatological and weak surges follows the decay of the positive NAO-like pattern, the wave train propagation associated with the strong surge is not preceded by a NAO-like signal. The wave trains preceding the occurrence of the strong and weak surges have a distinct evolution of the SCAND and EU patterns, and these wave trains exert a different impact on the East Asian circulation:<list list-type="simple">
<list-item>
<p>1) An opposite phase of the SCAND (Scandinavian) pattern: The Rossby wave train associated with the strong surge accompanies an eastward movement of an anomalous anticyclone from Europe to Ural-Siberia, whereas the wave train associated with the weak surge accompanies an eastward movement of an anomalous low from Scandinavia to the Ural Mountains. Such a discrepancy is reflected by an opposite phase of SCAND, which is positive (negative) preceding the strong (weak) surge;</p>
</list-item>
<list-item>
<p>2) Different evolution of the EU (Eurasian) pattern: Prior to the occurrence of the strong and weak surges, the Siberian high intensifies that is associated with an anomalous high over Siberia and an anomalous low over East Asia. Such an anomalous high-low couplet is projected onto the positive EU pattern and it attains a peak near the outbreak of the strong and weak surges. Whereas the positive EU pattern evolves preceding the occurrence of the weak cold surge, it sharply transits from the negative to positive phase during the evolution of the strong surge.</p>
</list-item>
<list-item>
<p>3) Distinct impact on the East Asian circulation: The strong surge is associated with a stronger southeastward propagation of the Rossby wave train from Ural-Siberia to the North Pacific. This accompanies a transition of East Asian circulation from the zonal type to the meridional type. During the transition, a sharp pressure gradient is established between northern and southern China. The southward intrusion of cold air into southern China is enhanced by deepening of the East Asian trough. The temperature in southern China sharply drops from a pronounced warm anomaly to a pronounced cold anomaly, and the cold anomaly persists for nearly a week. In contrast, the weak surge is not associated with a Rossby wave propagation from Siberia to the North Pacific. Such a Rossby wave train has a weak impact on the East Asian trough and the associated cold air activity in southern China. The associated meridional pressure gradient over China is much smaller than the strong surge, and hence the cold surge results in a smaller temperature drop in southern China. The cold anomaly lasts for around 3&#xa0;days.</p>
</list-item>
</list>
</p>
<p>In conclusions, the strong and weak cold surges in southern China are preceded by contrasting large-scale atmospheric circulation over the European continent around 1&#xa0;week before the arrival of the cold surges. The European circulation influences the cold surge <italic>via</italic> the Rossby wave train and the associated impact on the Siberian high, the East Asian trough and the meridional pressure gradient between northern and southern China. The occurrence of the cold surge is projected onto the positive EU-like pattern, whereas the cold surge intensity is affected by the precursory SCAND-like pattern. The positive/negative SCAND-like pattern is followed by a strong/weak surge with more/less persistent cold anomaly in southern China. Our results highlight the importance of considering the impact of the Eurasian teleconnection patterns on the cold surge in southern China in addition to the NAO.</p>
<p>This study analyzes the cold surge in the entire DJF period. Indeed, we find that slightly more strong surges occurring in December and more weak surges in January. For a more comprehensive understanding of the cold surge in southern China, we need to analyze the dynamics underlying the intra-seasonal variation of the Eurasian teleconnections in different winter periods (say, early, middle and late winter), as well as considering the individual and combined effect of tropical and extratropical forcing on the Eurasian teleconnection patterns and the cold surge.</p>
</sec>
</body>
<back>
<sec id="s5">
<title>Data Availability Statement</title>
<p>The original contributions presented in the study are included in the article/Supplementary Material, further inquiries can be directed to the corresponding author.</p>
</sec>
<sec id="s6">
<title>Author Contributions</title>
<p>JL conducted data analysis and wrote the draft of manuscript. H-NC designed this study and finalized the manuscript.</p>
</sec>
<sec id="s7">
<title>Funding</title>
<p>This study was supported by the Guangdong Natural Science Foundation (Grant No. 2021A1515012419), Guangdong Province Key Laboratory for Climate Change and Natural Disaster Studies (Grant No. 2020B1212060025), the National Natural Science Foundation of China (Grant No. 41905050, 42088101) and the Innovation Group Project of the Southern Marine Science and Engineering Guangdong Laboratory (Zhuhai) (No. 311021001).</p>
</sec>
<sec sec-type="COI-statement" id="s8">
<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="s9">
<title>Publisher&#x2019;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>
<ack>
<p>We greatly appreciate the constructive feedback provided by the two reviewers that improves the clarity of the manuscript.</p>
</ack>
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