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<front>
<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>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="publisher-id">1087737</article-id>
<article-id pub-id-type="doi">10.3389/feart.2022.1087737</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>The possible impact of solar activity on the summer temperature distribution over Eurasia</article-title>
<alt-title alt-title-type="left-running-head">Lu et al.</alt-title>
<alt-title alt-title-type="right-running-head">
<ext-link ext-link-type="uri" xlink:href="https://doi.org/10.3389/feart.2022.1087737">10.3389/feart.2022.1087737</ext-link>
</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Lu</surname>
<given-names>Wei</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2079932/overview"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Xiao</surname>
<given-names>Ziniu</given-names>
</name>
<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/1292846/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Feng</surname>
<given-names>Xueshang</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/114819/overview"/>
</contrib>
</contrib-group>
<aff id="aff1">
<sup>1</sup>
<institution>SIGMA Weather Group</institution>, <institution>State Key Laboratory of Space Weather</institution>, <institution>National Space Science Center</institution>, <institution>Chinese Academy of Sciences</institution>, <addr-line>Beijing</addr-line>, <country>China</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>University of Chinese Academy of Sciences</institution>, <addr-line>Beijing</addr-line>, <country>China</country>
</aff>
<aff id="aff3">
<sup>3</sup>
<institution>State Key Laboratory of Numerical Modeling for Atmospheric Sciences and Geophysical Fluid Dynamics</institution>, <institution>Institute of Atmospheric Physics</institution>, <institution>Chinese Academy of Sciences</institution>, <addr-line>Beijing</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/16642/overview">Folco Giomi</ext-link>, Independent Researcher, Padova, Italy</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/2088957/overview">Maxim Ogurtsov</ext-link>, Ioffe Institute (RAS), Russia</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/23249/overview">Nicola Scafetta</ext-link>, University of Naples Federico II, Italy</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Ziniu Xiao, <email>xiaozn@lasg.iap.ac.cn</email>
</corresp>
<fn fn-type="other">
<p>This article was submitted to Interdisciplinary Climate Studies, a section of the journal Frontiers in Earth Science</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>25</day>
<month>01</month>
<year>2023</year>
</pub-date>
<pub-date pub-type="ecorrected">
<day>22</day>
<month>07</month>
<year>2026</year>
</pub-date>
<pub-date pub-type="collection">
<year>2022</year>
</pub-date>
<volume>10</volume>
<elocation-id>1087737</elocation-id>
<history>
<date date-type="received">
<day>02</day>
<month>11</month>
<year>2022</year>
</date>
<date date-type="accepted">
<day>02</day>
<month>12</month>
<year>2022</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2023 Lu, Xiao and Feng.</copyright-statement>
<copyright-year>2023</copyright-year>
<copyright-holder>Lu, Xiao and Feng</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>The effect of solar activity on the regional temperature in winter has been widely discussed. However, whether the summer temperature of land in the northern hemisphere is sensitive to solar activity remains to be further investigated. In this study, the empirical orthogonal function (EOF) analysis, spectrum analysis, and correlation analysis are employed to reveal the possible link between the summer temperature distribution over Eurasian land (0&#x2013;180&#xb0;E and 20&#xb0;N&#x2212;80&#xb0;N) and solar activity. The results show that the corresponding time series of the second pattern significantly exhibits an 11-year solar periodicity. Its tripolar temperature distribution is similar to the correlation maps between the temperature and sunspot number (SSN). Particularly, Central Asia (50&#xb0;E&#x2212;90&#xb0;E and 30&#xb0;N&#x2212;60&#xb0;N) is the key response region over Eurasia. The temperature of Central Asia shows a weak but significant negative correlation with SSN. Further analysis of atmospheric circulation indicates that the solar-induced cyclonic and negative geopotential height anomalies in Central Asia weaken the high-pressure ridge on the southwest side and strengthen northwesterly winds. At the same time, with the increase in the cloud cover and the decrease of shortwave radiation, the temperature is lowered. Due to the impact of solar activity, the upper atmosphere over Eurasia forms a wave train-like structure, resulting in a tripolar temperature distribution pattern. On the other hand, the 21-year sliding correlation results suggest that the connection between solar activity and the temperature in Central Asia was strong and decadal stable until 1980. Whereas the temperature and atmospheric circulations in high latitudes become more sensitive to solar activity after 1980. Anyway, solar activity still can be considered a non-negligible factor in the prediction of the summer temperature in Eurasia.</p>
</abstract>
<kwd-group>
<kwd>solar cycle</kwd>
<kwd>temperature distribution</kwd>
<kwd>Eurasian climate</kwd>
<kwd>decadal change</kwd>
<kwd>summer</kwd>
</kwd-group>
<contract-num rid="cn001">42075040, 42030204</contract-num>
<contract-sponsor id="cn001">National Natural Science Foundation of China<named-content content-type="fundref-id">10.13039/501100001809</named-content>
</contract-sponsor>
<counts>
<page-count count="14"/>
</counts>
</article-meta>
</front>
<body>
<sec id="s1">
<title>1 Introduction</title>
<p>As the external forcing of the earth system, solar activity has a major impact on terrestrial climate change. Solar signals have been found in the stratosphere and troposphere. The process of the down-transmission of the solar signal to the surface is usually explained by two mechanisms, i.e., &#x2018;Top-down&#x2019; and &#x2018;Bottom-up&#x2019; (<xref ref-type="bibr" rid="B10">Gray et al., 2010</xref>; <xref ref-type="bibr" rid="B7">Ding, 2019</xref>). Solar radiation is a direct source of energy for the climate system, which is usually used to assess the solar influence on climate in model simulations. However, the assessment of the effects of climate on the response to solar irradiance in IPCC AR6 mainly focuses on the global scale, lacking a view of regional climate change. Then, the impact of solar activity on climate change is spatially selective. (<xref ref-type="bibr" rid="B2">Cao, 2021</xref>; <xref ref-type="bibr" rid="B15">IPCC, 2021</xref>; <xref ref-type="bibr" rid="B38">Xiao, 2021</xref>). In addition, <xref ref-type="bibr" rid="B6">Connolly et al. (2021)</xref> found that the response of the solar irradiance to solar activity in the northern hemisphere depends on the estimation methods. They claim that solar activity appears to be underestimated in modern climate change prediction. Hence, the issue of the impact of solar activity on climate change should continue to be addressed.</p>
<p>Temperature is one of the key parameters of climate change. Numerous statistical studies have found similar periodicities in the temperature proxy records and solar variations during the Holocene, revealing the possible linkage between temperature and solar activity on centennial-to-decadal scales (<xref ref-type="bibr" rid="B31">Soon, 2005</xref>; <xref ref-type="bibr" rid="B42">Zhao and Feng, 2014</xref>; <xref ref-type="bibr" rid="B21">Liu et al., 2019</xref>; <xref ref-type="bibr" rid="B12">Huang et al., 2020</xref>; <xref ref-type="bibr" rid="B26">Ogurtsov et al., 2020</xref>; <xref ref-type="bibr" rid="B1">Brehm et al., 2021</xref>). In the 20th century, strong correlations between solar irradiance and the temperature of the mid-upper troposphere are also found based on the proxy data (<xref ref-type="bibr" rid="B36">Wang et al., 2010</xref>).</p>
<p>
<xref ref-type="bibr" rid="B19">Kodera et al. (2016)</xref> concluded the spatial structure of global solar signal based on the surface temperature variations from observations and model data, reflecting the differences in regional responses. The surface air temperatures over Eurasia, such as Turkey and Japan, are sensitive to solar forcing (<xref ref-type="bibr" rid="B18">Kilcik, 2005</xref>; <xref ref-type="bibr" rid="B17">Kilcik et al., 2008</xref>). <xref ref-type="bibr" rid="B16">Kilcik et al. (2010)</xref> proved that the response of Atlantic-Eurasian regions depends on the latitudes and solar activity affects the temperature of mid-latitudes significantly in winter. Moreover, some scientists proposed that solar forcing has a significant effect on the wintertime temperature and precipitation over Asia (<xref ref-type="bibr" rid="B20">Kossobokov et al., 2010</xref>; <xref ref-type="bibr" rid="B3">Chen et al., 2015</xref>; <xref ref-type="bibr" rid="B27">Ojala et al., 2015</xref>; <xref ref-type="bibr" rid="B30">Song et al., 2019</xref>; <xref ref-type="bibr" rid="B4">Chen et al., 2020</xref>; <xref ref-type="bibr" rid="B39">Xu et al., 2020</xref>). Recently, <xref ref-type="bibr" rid="B39">Xu et al. (2020)</xref> revealed that extreme cold events are highly related to the energetic particle precipitation in winter over Eurasia and the interaction of wave-mean flow in the stratosphere and troposphere is an important medium in the downward process of solar signals.</p>
<p>In particular, the spatial distribution of solar signals in winter is pointed to be similar to the second EOF pattern of the Eurasian temperature in the early research (<xref ref-type="bibr" rid="B23">Miyazaki and Yasunari, 2008</xref>; <xref ref-type="bibr" rid="B3">Chen et al., 2015</xref>). <xref ref-type="bibr" rid="B22">Maliniemi et al. (2014)</xref> found that the clearest winter temperature distribution pattern is seen in the declining phase of the solar cycle and the pattern of positive North Atlantic Oscillation is produced by the declining phase. Nevertheless, the response of summer temperature over Eurasia to solar activity has not received enough attention.</p>
<p>Overall, we first analyze the distribution of summer temperature over Eurasian land and further do the spectrum and correlation analysis to reveal the possible linkage between solar activity and the temperature. Then we mainly analyze the mechanism of solar activity signal transmission to the surface from the perspective of atmospheric circulation. This allows us to elucidate the causes of temperature changes in regions perturbed by solar activity.</p>
</sec>
<sec id="s2">
<title>2 Datasets and methods</title>
<sec id="s2-1">
<title>2.1 Datasets</title>
<p>In this study, &#x2018;summer&#x2019; is defined as the average values of June, July, and August. The SSN is usually used to characterize solar activity in previous studies. The SSN data is obtained from Sunspot Index and Long-term Solar Observation site, which is available at <ext-link ext-link-type="uri" xlink:href="https://wwwbis.sidc.be/silso/datafiles">https://wwwbis.sidc.be/silso/datafiles</ext-link>. The monthly SSN data covers the period from 1749 to the present. We mainly focus on the changes in solar activity during 1901&#x2013;2010 because of the limitations of meteorological data.</p>
<p>Two monthly temperature datasets from ERA-20C (ERA_tmp) and CRU TS 4.05 dataset (CRU_tmp) are used. The CRU TS 4.05 dataset spans a period from 1901 to 2020, with a spatial resolution of 0.5&#xb0; &#xd7; 0.5&#xb0;. It is a gridded monthly dataset from the Climatic Research Unit (University of East Anglia) and Met Office (Harris, 2020), which is derived by interpolating monthly anomalies from station observations. ERA-20C (1901&#x2013;2020) is a twentieth-century reanalysis dataset from ECMWF, available at <ext-link ext-link-type="uri" xlink:href="https://apps.ecmwf.int/datasets/data/era20c-daily/levtype=sfc/type=an/">https://apps.ecmwf.int/datasets/data/era20c-daily/levtype&#x3d;sfc/type&#x3d;an/</ext-link>. We also use 2.5&#xb0; &#xd7; 2.5&#xb0; monthly mean atmospheric variations, including winds, geopotential height (HGT), cloud, precipitation, and radiation from the ERA-20C dataset. The boundary data of the Qinghai-Tibet Plateau comes from <ext-link ext-link-type="uri" xlink:href="http://data.tpdc.ac.cn/zh-hans/data/61701a2b-31e5-41bf-b0a3-607c2a9bd3b3/">http://data.tpdc.ac.cn/zh-hans/data/61701a2b-31e5-41bf-b0a3-607c2a9bd3b3/</ext-link>(<xref ref-type="bibr" rid="B40">Zhang et al., 2021</xref>).</p>
</sec>
</sec>
<sec sec-type="methods" id="s3">
<title>2.2 Methods</title>
<p>Following <xref ref-type="bibr" rid="B34">Thi&#xe9;blemont et al. (2015)</xref> and <xref ref-type="bibr" rid="B13">Huo et al. (2021)</xref>, we select high and low solar activity (HS and LS) years by the 3-year running mean method. <xref ref-type="fig" rid="F1">Figure 1</xref> shows the time series of JJA SSN and 3-year sliding mean JJA SSN. The HS (LS) years of each solar cycle are marked by the red (blue) dots during 1901&#x2013;2020. The HS years are listed as follows: 1904, 1905, 1906, 1917, 1918, 1919, 1927, 1928, 1929, 1937, 1938, 1939, 1947, 1948, 1949, 1957, 1958, 1959, 1968, 1969, 1970, 1979, 1980, 1981, 1989, 1990, 1991, 1999, 2000, and 2001. And the LS years include 1911, 1912, 1913, 1922, 1923, 1924, 1932, 1933, 1934, 1942, 1943, 1944, 1953, 1954, 1955, 1963, 1964, 1965, 1975, 1976, 1977, 1985, 1986, 1987, 1995, 1996, 1997, 2007, 2008, and 2009. We will investigate the responses of terrestrial temperature to solar activity by composite analysis in the following part.</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>Time series of SSN. The dashed gray and solid black curves are the series of JJA SSN and 3-year running mean values of JJA SSN. The red (blue) dots mark the HS (LS) years.</p>
</caption>
<graphic xlink:href="feart-10-1087737-g001.tif"/>
</fig>
<p>The EOF method is also called principal component analysis (PCA). This approach captures the dominant spatial distribution and its time-varying characteristics by deriving the orthogonal empirical eigenvectors of the covariance matrix associated with climate variables (<xref ref-type="bibr" rid="B14">Ionita et al., 2012</xref>; <xref ref-type="bibr" rid="B41">Zhang and Moore, 2015</xref>). Multi-previous studies utilized this way to extract temperature patterns and analyze the causes of temperature changes (<xref ref-type="bibr" rid="B11">Hong et al., 2017</xref>; <xref ref-type="bibr" rid="B24">Ning et al., 2022</xref>; <xref ref-type="bibr" rid="B29">Song et al., 2022</xref>). This study takes advantage of the orthogonal characteristic between the patterns to better grasp the solar signal in the summer temperature over Eurasian. Then, correlation and composite differences analysis are combined to further explore the process of the impact of solar activity. In the last part, we conduct the sliding correlation analysis to assess the stability of the relationship between solar activity and the Eurasian summer temperature.</p>
</sec>
<sec id="s4">
<title>3 Association between solar activity and Eurasian summer temperature</title>
<sec id="s4-1">
<title>3.1 The link between solar activity and the temperature spatial distribution</title>
<p>In this study, we first extract the first two dominant patterns and the corresponding principal component time series of summer temperature over Eurasian land (0&#x2013;180&#xb0; E and 20&#xb0;N &#x2212;80&#xb0; N) through the EOF analysis method (<xref ref-type="fig" rid="F2">Figure 2</xref>). The first leading mode shows positive temperature anomalies over the whole land, explaining 12.68%/14.66% of the total variance (<xref ref-type="fig" rid="F2">Figures 2A,B</xref>). Previous studies pointed out the westerly jet is the main factor for the summer warming of the latitude of 40&#xb0;N &#x2212;65&#xb0;N after 1960 (<xref ref-type="bibr" rid="B37">Wu and Sun, 2015</xref>). In addition, the corresponding PC1 time series have no apparent decadal periodicity (<xref ref-type="fig" rid="F3">Figures 3A,C</xref>) and it shows a very weak relationship with SSN with the correlation coefficients <italic>r</italic> &#x3d; &#x2212;0.02/0.01. Hence, no more attention is paid to the first leading modes in this study.</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>Spatial patterns and the corresponding normalized time series for the leading first <bold>(A&#x2013;C)</bold> and second <bold>(D&#x2013;F)</bold> EOF modes of summer land Eurasian temperature (unit: &#xb0;C) anomalies over 0&#x2013;180&#xb0;E and 20&#xb0;N &#x2212;80&#xb0;N during 1901&#x2013;2010. The red (blue) solid lines are the corresponding time series of ERA_tmp (CRU_tmp). The black solid line is the standardized SSN.</p>
</caption>
<graphic xlink:href="feart-10-1087737-g002.tif"/>
</fig>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>Power spectrums of the time series of the leading modes. The red (black) dashed lines indicate statistical confidence levels are 90% (95%). <bold>(A)</bold> ERA_tmp PC1. <bold>(B)</bold> ERA_tmp PC2. <bold>(C)</bold> CRU_tmp PC1. <bold>(D)</bold> CRU_tmp PC2.</p>
</caption>
<graphic xlink:href="feart-10-1087737-g003.tif"/>
</fig>
<p>The second EOF mode, accounting for 21.43%/19.39% of the variance, is characterized by &#x2018;-&#x2b;-&#x2019; tripolar patterns in high latitudes, corresponding with the found by <xref ref-type="bibr" rid="B37">Wu and Sun (2015)</xref>. They have anomalies of one positive sign centered in the region over Central Asia-Southwest of Russia and the other two negative signs over the two sides of Eurasian land, respectively (<xref ref-type="fig" rid="F2">Figures 2D,E</xref>). But the 11-year solar periodicity signal is significantly present in the PC2 time series, which is above the 95% confidence level (<xref ref-type="fig" rid="F3">Figures 3B,D</xref>).</p>
<p>To reveal the correlation between solar activity and temperature distribution, we calculate the correlation coefficients between PC2 and SSN. SSN is negatively correlated with the corresponding PC2 times series during 1901&#x2013;2010 (<italic>r</italic> &#x3d; &#x2212;0.12/&#x2212;0.16, <italic>p</italic>&#x3c;0.1), and the correlations are much weaker with PC3 (<italic>r</italic> &#x3d; &#x2212;0.07/0.06). The correlations are stronger than that between SSN and other climate indices listed in <xref ref-type="table" rid="T1">Table 1</xref>, such as the East Asian summer monsoon index (EASMi), North Atlantic oscillation (NAO), Pacific Decadal Oscillation (PDO), Southern Oscillation Index (SOI) and the Nin&#x303;o3.4 index. Namely, the second spatial distribution of summer temperature is possibly modulated by the solar cycle. Overall, we focus on the response of the Eurasian summer temperature to solar activity.</p>
<table-wrap id="T1" position="float">
<label>TABLE 1</label>
<caption>
<p>Correlation coefficients between PC2 and the other climate indices.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left"/>
<th align="left">ERA_tmp-PC2</th>
<th align="left">CRU_tmp-PC2</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">EASMi</td>
<td align="center">0.10</td>
<td align="center">0.11</td>
</tr>
<tr>
<td align="center">NAO</td>
<td align="center">&#x2212;0.07</td>
<td align="center">&#x2212;0.08</td>
</tr>
<tr>
<td align="center">PDO</td>
<td align="center">0.04</td>
<td align="center">0.03</td>
</tr>
<tr>
<td align="center">SOI</td>
<td align="center">0.04</td>
<td align="center">0.06</td>
</tr>
<tr>
<td align="center">Nino3.4</td>
<td align="center">0.02</td>
<td align="center">&#x2212;0.04</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>On the other hand, <xref ref-type="fig" rid="F4">Figures 4A,B</xref> depict the correlation maps between detrended summer temperature and SSN during 1901&#x2013;2010, revealing the significant response regions to solar activity. The impact of solar activity on Eurasian land varies regionally in summer. But in winter, strong solar activity tends to warm the temperature of most Eurasian land (<xref ref-type="bibr" rid="B3">Chen et al., 2015</xref>). In the middle and high latitudes of Central Asia (30&#xb0;N &#x2212;60&#xb0;N, 50&#xb0;E &#x2212;90&#xb0;E), the temperature is negatively correlated to the solar activity, which is opposite to that in the two sides of Eurasian land. It is also worth noting that the spatial patterns of correlation maps are alike to the second EOF modes of summer temperature over Eurasian land (<xref ref-type="fig" rid="F2">Figures 2C,D</xref>).</p>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>Correlation maps between detrended summer temperature and SSN over Eurasia during 1901&#x2013;2010. Black dotted regions are above 95% confidence level. Central Asia (30&#xb0;N&#x2013;60&#xb0;N and 50&#xb0;E&#x2013;90&#xb0;E) is marked by the black dashed frame. <bold>(A)</bold> SSN and ERA_tmp. <bold>(B)</bold> SSN and CRU_tmp.</p>
</caption>
<graphic xlink:href="feart-10-1087737-g004.tif"/>
</fig>
<p>On the other hand, <xref ref-type="fig" rid="F4">Figures 4A,B</xref> depict the correlation maps between detrended summer temperature and SSN during 1901&#x2013;2010, revealing the significant response regions to solar activity. The impact of solar activity on Eurasian land varies regionally in summer. But in winter, strong solar activity tends to warm the temperature of most Eurasian land (<xref ref-type="bibr" rid="B3">Chen et al., 2015</xref>). In the middle and high latitudes of Central Asia (30&#xb0;N&#x2013;60&#xb0;N, 50&#xb0;E&#x2013;90&#xb0;E), the temperature is negatively correlated to the solar activity, which is opposite to that in the two sides of Eurasian land. It is also worth noting that the spatial patterns of correlation maps are alike to the second EOF modes of summer temperature over Eurasian land (<xref ref-type="fig" rid="F2">Figures 2C,D</xref>).</p>
<p>According to the temperature distribution pattern and the correlation maps with the solar activity, the area of Central Asia has attached attention. <xref ref-type="bibr" rid="B12">Huang et al. (2020)</xref> also found that the summer temperature of acid central Asia also has a common cycle with solar activity during the Holocene. We show the temperature time series of Central Asia in <xref ref-type="fig" rid="F5">Figure 5</xref>. The regional temperature is positively correlated to the corresponding PC2 and the correlation coefficient between SSN and PC2 of ERA_tmp (CRU_tmp) is 0.63 (0.76), which is significantly above the 99% confidence level. Besides, the correlation coefficients between SSN and the temperature of Central Asia are &#x2212;0.19/&#x2212;0.24, which is significantly above the 95% confidence level. In addition, the temperature of Central Asia has an 11-year solar cycle. Hence, Central Asia is the key response area to solar activity. In the following, we mainly discuss the impact of solar activity on the summer temperature of Central Asia.</p>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption>
<p>Comparison of the temperature of Central Asia (30 &#xb0;N&#x2013;60&#xb0;N and 50&#xb0;E&#x2013;90&#xb0;E) and PC2 <bold>(A,B)</bold> and SSN <bold>(C,D)</bold>, <bold>(E,F)</bold> Power spectrum of the summer temperature for Central Asia. The red and black dashed lines indicate statistical confidence at the 90% and 95% confidence levels.</p>
</caption>
<graphic xlink:href="feart-10-1087737-g005.tif"/>
</fig>
</sec>
<sec id="s4-2">
<title>3.2 Physical process analysis</title>
<p>The evidence in Section 3.1 reveals the relationship between solar activity and summer temperature over Eurasia, especially in Central Asia. How does the Sun signal transmit downward? To further explore the physical process of the impact of solar activity, we pay attention to the response of the atmospheric circulation and cloud-radiation feedback mechanism based on the analysis of the composite differences and regression.</p>
<p>
<xref ref-type="fig" rid="F6">Figures 6A&#x2013;C</xref> show composite differences between HS and LS years of geopotential height and wind at 200&#xa0;hPa, 500&#xa0;hPa, and 850&#xa0;hPa over Central Asia. Solar activity induces positive geopotential height anomalies at 500&#xa0;hPa and cyclonic anomalies at 850&#xa0;hPa in most of the Eurasian land regions except Central Asia. The circulation anomalies&#x2019; patterns resemble each other at 200&#xa0;hPa, 500&#xa0;hPa, and 850&#xa0;hPa, reflecting a barotropic structure. The magnitudes of the circulation anomalies become weaker with the height from top to bottom. Meanwhile, the mean background climatology states during 1901&#x2013;2010 are illustrated in <xref ref-type="fig" rid="F6">Figures 6D&#x2013;F</xref> for comparison. In the southwest of Central Asia, high pressure at 500&#xa0;hPa centered at 30&#xb0;N and 60&#xb0;E exists. And northwesterly winds prevail at 850&#xa0;hPa in summer due to the pressure gradient over Central Asia. Combining the disturbance of the atmospheric circulation field by solar activity and the climatic background field, the negative geopotential height anomalies over Central Asia, opposite to the other regions in Eurasian land, weaken the high-pressure ridge in the southwest of Central Asia. Besides, the cyclonic anomalies strengthen the northwesterly wind, causing more transport of cold advection to Central Asia.</p>
<fig id="F6" position="float">
<label>FIGURE 6</label>
<caption>
<p>
<bold>(A&#x2013;C)</bold> Composite differences (HS minus LS) of wind and geopotential height (GHT, color) at 850&#xa0;hPa, 500&#xa0;hPa, and 200&#xa0;hPa during 1901&#x2013;2010. Black dots marks regions where GHT differences are above 90% confidence level. The black vectors show the wind differences are over 90% confidence level <bold>(D&#x2013;F)</bold> Background climatology states GHT and winds at 850&#xa0;hPa, 500&#xa0;hPa, and 850&#xa0;hPa in summer over Eurasia during 1901&#x2013;2010. The wind and geopotential data at 850&#xa0;hPa on the Qinghai-Tibet Plateau are ignored.</p>
</caption>
<graphic xlink:href="feart-10-1087737-g006.tif"/>
</fig>
<p>
<xref ref-type="fig" rid="F7">Figure 7</xref> presents the correlation maps between geopotential height and wind at 200&#xa0;hPa, 500&#xa0;hPa, and 850&#xa0;hPa and SSN during 1901&#x2013;2010, indicating the contribution of solar activity to circulation. A wave train-like structure of geopotential anomalies with one negative and two positive anomalies at 500&#xa0;hPa shows up in the mid-high latitude, which is similar to the second pattern of the summer temperature distribution in <xref ref-type="fig" rid="F2">Figure 2</xref>. The wave train-like structure is weaker in the bottom of the troposphere than that in the upper troposphere. At 850&#xa0;hPa, a pair of cyclonic and anticyclonic anomalies appear in the northwest of the Eurasian land, which may affect advective transport. The results of regression analysis show no essential differences with the analysis of the composite differences, except for the size of several significant areas. Solar activity will perturb the climate background field, thereby weakening the climate system and strengthening convection.</p>
<fig id="F7" position="float">
<label>FIGURE 7</label>
<caption>
<p>Correlation maps between <bold>(A)</bold> 200&#xa0;hPa, <bold>(B)</bold> 500&#xa0;hPa, and <bold>(C)</bold> 850&#xa0;hPa geopotential height (GHT, color) and wind (vector) and SSN. Black dots marks regions where GHT differences are above 90% confidence level. The black vectors show the wind differences are over 90% confidence level. The wind and geopotential data at 850&#xa0;hPa on the Qinghai-Tibet Plateau are ignored.</p>
</caption>
<graphic xlink:href="feart-10-1087737-g007.tif"/>
</fig>
<p>
<xref ref-type="fig" rid="F8">Figure 8</xref> illustrates the composite differences in the cloud, radiation, and precipitation between HS and LS years during 1901&#x2013;2010. The composite differences patterns of total cloud cover are characterized by positive anomalies centered over Central Asia and negative anomalies in other areas of Eurasian land (<xref ref-type="fig" rid="F8">Figure 8A</xref>). It is consistent with the correlation patterns between temperature and SSN in <xref ref-type="fig" rid="F3">Figure 3</xref>. The pattern for surface net solar radiation is opposite to that for the total cloud cover (<xref ref-type="fig" rid="F8">Figure 8B</xref>).</p>
<fig id="F8" position="float">
<label>FIGURE 8</label>
<caption>
<p>Composite differences (HS minus LS) of total cloud cover <bold>(A)</bold> surface net solar radiation <bold>(B)</bold> (units: J&#xb7;m<sup>&#x2212;2</sup>) during 1901&#x2013;2010. during 1901&#x2013;2010. Central Asia (30 &#xb0;N&#x2013;60&#xb0;N and 50&#xb0;E&#x2013;90&#xb0;E) is marked by the black dashed frame.</p>
</caption>
<graphic xlink:href="feart-10-1087737-g008.tif"/>
</fig>
<p>Previous studies found that the temperature is sensitive to cloud-radiative feedback (<xref ref-type="bibr" rid="B33">Tang et al., 2012</xref>; <xref ref-type="bibr" rid="B32">Tang and Leng, 2012</xref>). Increased total cloud cover over Central Asia inhibits the downward transmission of solar energy, resulting in lower temperatures. The negative anomalies of the surface net solar radiation result from the increase in the total cloud cover. The synergy amplifies the effect of solar activity on the temperature.</p>
<p>
<xref ref-type="fig" rid="F9">Figure 9</xref> depicts the atmospheric circulations and surface air temperature anomalies regressed onto the second dominant time series PC2. The GHT and wind anomalies at 200&#xa0;hPa show a tripolar pattern characterized by &#x2018;-&#x2b;-&#x2019; anomalies in mid-high latitude (<xref ref-type="fig" rid="F9">Figure 9A</xref>). The significant positive anomalies centered over northern Europe, which is in contrast to other negative responses over the other regions in Eurasian. Furthermore, the similar and weaker patterns at 500&#xa0;hPa and 850&#xa0;hPa reflect an equivalent structure. The wave-train-like temperature anomalous pattern associated with PC2 resembles the correlation maps between solar activity and atmospheric circulation (<xref ref-type="fig" rid="F7">Figure 7</xref>).</p>
<fig id="F9" position="float">
<label>FIGURE 9</label>
<caption>
<p>Regression maps of <bold>(A)</bold> 200&#xa0;hPa, <bold>(B)</bold> 500&#xa0;hPa, and <bold>(C)</bold> 850&#xa0;hPa geopotential height (GHT, color) and wind (vector), and <bold>(D)</bold> ERA_tmp onto PC2. Black dots marks regions where GHT differences are above 90% confidence level. The black vectors show the wind differences are over 90% confidence level. The wind and geopotential data at 850&#xa0;hPa on the Qinghai-Tibet Plateau are ignored.</p>
</caption>
<graphic xlink:href="feart-10-1087737-g009.tif"/>
</fig>
</sec>
</sec>
<sec sec-type="discussion" id="s5">
<title>4 Discussion</title>
<p>In the sections above, it is revealed the response of the Eurasian summer temperature to solar activity during 1901&#x2013;2010. We note that the decadal changes in the relationship between the summer temperature of the mid-upper troposphere over Eurasia have been found through proxy data and the empirical mode decomposition method (<xref ref-type="bibr" rid="B36">Wang et al., 2010</xref>). Based on the 449-year reconstructed temperature, <xref ref-type="bibr" rid="B8">Duan and Zhang (2014)</xref> found disparities between temperature in Tibet Plateau and solar activity are identified in two periods, the 1880s&#x2013;1900s and the 1980s&#x2013;present. It should be noted that a similar reversal of signs of solar-climatic correlation at the beginning of the 80s was also reported by <xref ref-type="bibr" rid="B9">Georgieva et al. (2007)</xref> and <xref ref-type="bibr" rid="B35">Veretenenko and Ogurtsov (2012)</xref>. However, <xref ref-type="bibr" rid="B25">Ogurtsov and Veretenenko (2017)</xref> found responses of low atmosphere to solar activity in winter Russia changed in the 2000s approximately. <xref ref-type="bibr" rid="B5">Chiodo et al. (2019)</xref> suggested that the solar signal only occurs in NAO after the mid-1960s, which is not robust. The research above reveals that the decadal impacts of solar activity on regional climate are different and the persistence of the impact and the stability of the signal deserves attention.</p>
<p>In this study, we find the size of atmospheric response areas differs between the composite and correlation analysis results (<xref ref-type="fig" rid="F6">Figure 6</xref> and <xref ref-type="fig" rid="F7">Figure 7</xref>). The correlation analysis is based on the whole data, while the composite analysis is only for the years of extreme solar activity. Therefore, we further assess the decadal stability of the relationship between the Eurasian summer temperature and solar activity to expound the reasons for the differences.</p>
<p>
<xref ref-type="fig" rid="F10">Figure 10</xref> shows the 21-year sliding correlations between SSN and PC2 and the temperature of Central Asia. The PC2 was negatively related to SSN before 1980, but the relationship became weak and positive after 1980. The relationship between the temperature of Central Asia and solar activity keeps pace with PC2. We note that the negative correlation period is about central-decadal years (<xref ref-type="fig" rid="F10">Figure 10</xref>). <xref ref-type="bibr" rid="B28">Scafetta (2014)</xref> thought there might be another oscillation, such as a 9.1-year oscillation, beating with the 11-year solar cycle and producing a long-beat pattern. To clarify the decadal change of the impact of solar activity on the temperature and ensure consistent degrees of freedom, we chose two periods of the same length, i.e., 1951&#x2013;1980 (P1) and 1981&#x2013;2010 (P2) in the following part (<xref ref-type="table" rid="T2">Table 2</xref>). The correlation coefficients between PC2 and SSN during P1 are &#x2212;0.31/&#x2212;0.37 with above 90% significant confidence, but they are 0.23/0.29 during P2 with no statistical significance.</p>
<fig id="F10" position="float">
<label>FIGURE 10</label>
<caption>
<p>The 21-year sliding correlation coefficient between SSN and the time series of PC2 <bold>(A</bold>&#x2013;<bold>C)</bold> and the temperature of Central Asia <bold>(B</bold>&#x2013;<bold>D)</bold> during 1901&#x2013;2010. The values of dashed lines are &#xb1; 0.369, which represents the 90% confidence level.</p>
</caption>
<graphic xlink:href="feart-10-1087737-g010.tif"/>
</fig>
<table-wrap id="T2" position="float">
<label>TABLE 2</label>
<caption>
<p>The correlation coefficients between the three variabilities (SSN, T_Central Asia, and PC2) during the two periods of P1 (1951&#x2013;1980) and P2 (1981&#x2013;2010). </p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">SSN &#x26; T<sub>Central Asia</sub>
</th>
<th align="center">P1</th>
<th align="center">P2</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">
<bold>ERA_tmp</bold>
</td>
<td align="center">&#x2212;0.46 (<italic>p</italic>&#x3c;0.05)</td>
<td align="center">0.03</td>
</tr>
<tr>
<td align="center">
<bold>CRU_tmp</bold>
</td>
<td align="center">&#x2212;0.52 (<italic>p</italic>&#x3c;0.05)</td>
<td align="center">0.07</td>
</tr>
<tr>
<td align="center">
<bold>SSN &#x26; PC2</bold>
</td>
<td align="center">
<bold>P1</bold>
</td>
<td align="center">
<bold>P2</bold>
</td>
</tr>
<tr>
<td align="center">
<bold>ERA_tmp</bold>
</td>
<td align="center">&#x2212;0.31 (<italic>p</italic>&#x3c;0.1)</td>
<td align="center">0.23</td>
</tr>
<tr>
<td align="center">
<bold>CRU_tmp</bold>
</td>
<td align="center">&#x2212;0.37 (<italic>p</italic>&#x3c;0.05)</td>
<td align="center">0.29</td>
</tr>
<tr>
<td align="center">
<bold>T</bold>
<sub>
<bold>Central Asia</bold>
</sub> <bold>&#x26; PC2</bold>
</td>
<td align="center">
<bold>P1</bold>
</td>
<td align="center">
<bold>P2</bold>
</td>
</tr>
<tr>
<td align="center">
<bold>ERA_tmp</bold>
</td>
<td align="center">0.64 (<italic>p</italic>&#x3c;0.01)</td>
<td align="center">0.36 (<italic>p</italic>&#x3c;0.01)</td>
</tr>
<tr>
<td align="center">
<bold>CRU_tmp</bold>
</td>
<td align="center">0.75 (<italic>p</italic>&#x3c;0.01)</td>
<td align="center">0.70 (<italic>p</italic>&#x3c;0.01)</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>SSN is the series of sunspot data.T&#x005F;Central Asia is the average temperature of Central Asia.PC2 is the corresponding time series of the temperature distribution over Eurasian land.T&#x005F;Central Asia and PC2 are calculated from the two temperature datasets, i.e., ERA&#x005F;tmp and CRU&#x005F;tmp.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>We also find remarkable differences are seen in the correlation maps between SSN and temperature during P1 and P2 (<xref ref-type="fig" rid="F11">Figure 11</xref>). For the latitude of 30&#xb0;N&#x2013;60&#xb0;N, strong negative connections persist during the 1951&#x2013;1980 period. In contrast, the temperature is significantly positive relative to SSN in high latitudes during the 1981&#x2013;2010 period. During P1, Central Asia is the significant negative response region of temperature to solar activity (<italic>r</italic> &#x3d; &#x2212;0.46, <italic>p</italic>&#x3c;0.05/&#x2212;0.52, <italic>p</italic>&#x3c;0.05). However, the temperature of Central Asia becomes insensitive to solar activity after 1980 (<italic>r</italic> &#x3d; 0.03/0.07). And the mid-high latitude regions, such as North Europe and East Russia, are more sensitive to solar activity. Additionally, the correlation between the temperature of Central Asia and the corresponding PC2 is weaker during P2 (<italic>r</italic> &#x3d; 0.64, <italic>p</italic>&#x3c;0.01/0.75, <italic>p</italic>&#x3c;0.01) than that during P1 (<italic>r</italic> &#x3d; 0.36, <italic>p</italic>&#x3c;0.01/0.70, <italic>p</italic>&#x3c;0.01). These similar changes in 1980 reveal that the link between solar activity and the second temperature distribution may be affected by the response of the temperature in Central Asia.</p>
<fig id="F11" position="float">
<label>FIGURE 11</label>
<caption>
<p>Correlation maps between SSN and temperature during 1951&#x2013;1980 (P1) and 1981&#x2013;2010 (P2). Dotted regions are at above 95% confidence level. Central Asia (30 &#xb0;N&#x2013;60&#xb0;N and 50&#xb0;E&#x2013;90&#xb0;E) is marked by the black dashed frame. <bold>(A)</bold> 1951&#x2013;1980 SSN and ERA_tmp. <bold>(B)</bold> 1951&#x2013;1980 SSN and CRU_tmp. <bold>(C)</bold> 1981&#x2013;2010 SSN and ERA_tmp. <bold>(D)</bold> 1981&#x2013;2010 SSN and CRU_tmp.</p>
</caption>
<graphic xlink:href="feart-10-1087737-g011.tif"/>
</fig>
<p>The solar effect on the surface temperature depends on the atmospheric circulation condition. We compare the atmospheric background conditions between P1 and P2 below by the composite differences in geopotential height and wind to explore the reason for the decadal change in the relationship (<xref ref-type="fig" rid="F12">Figure 12</xref>). The mid-high latitude differences match the change in the solar activity response areas, such as central Asia, North Europe, and East Russia. Positive potential height and cyclonic anomalies in P2, compared with that in P1, may make the solar disturbance signal insignificant. The change in the background may be caused by global warming or internal variability of the climate system. The reasons for the different responses of regional climate to solar activity and its interdecadal variation deserve further study.</p>
<fig id="F12" position="float">
<label>FIGURE 12</label>
<caption>
<p>Composite differences (P2 minus P1) of atmospheric circulation between 1951 and 1980 (P1) and 1981&#x2013;2010 (P2). Black dots marks regions where geopotential height (GHT) differences are above the 90% confidence level. The black vectors show the wind differences are over 90% confidence level. The wind and GHT data at 850&#xa0;hPa on the Qinghai-Tibet Plateau are ignored. <bold>(A)</bold> P2-P1 &#x7c; 200&#xa0;hPa GHT&#x2b;UV. <bold>(B)</bold> P2-P1 &#x7c; 500&#xa0;hPa GHT&#x2b;UV. <bold>(C)</bold> P2-P1 &#x7c; 850&#xa0;hPa GHT&#x2b;UV.</p>
</caption>
<graphic xlink:href="feart-10-1087737-g012.tif"/>
</fig>
</sec>
<sec sec-type="conclusion" id="s6">
<title>5 Conclusion</title>
<p>In this study, we analyze the distribution of the summer temperature over Eurasian land for the past 110 years based on the EOF methods and reveal its response to solar activity. The time series corresponding to the second EOF mode has an 11-year significant power spectrum periodicity. In addition, the correlation pattern between SSN and temperature is similar to the temperature distribution pattern. Central Asia is considered to be the key region where solar activity affects the temperature distribution in Eurasia.</p>
<p>The physical mechanism can be explained from the perspective of atmospheric circulation. The schematic figure is shown in FIG.13. The left and the right panels compare the atmosphere response to the LS and HS and the climatic states are shown in the middle panel. The second EOF pattern of the summer temperature is alike to a wave train-like structure, with one positive and two negative anomalies across the mid-high latitudes, and causes a barotropic response of the atmospheric circulation. The two side panels of <xref ref-type="fig" rid="F13">Figure 13</xref> show the atmospheric circulation anomalies associated with HS and LS resemble the wave train-like pattern. In the key area, Central Asia, the temperature is highly related to the second temperature distribution and negatively related to solar activity. The other regions are weakly positive for solar activity. Over Central Asia, the negative potential height anomalies at 500&#xa0;&#xa0;h&#xa0;Pa associated with solar activity weakened the high-pressure ridge on the southwest side. The cyclonic anomalies related to solar activity strengthen the southwesterly wind. Besides, more clouds and less radiation make the terrestrial receive less solar energy (<xref ref-type="fig" rid="F13">Figure 13</xref>). Under the combined action of atmospheric circulation and cloud and radiation feedback, temperature decreases with increasing solar activity.</p>
<fig id="F13" position="float">
<label>FIGURE 13</label>
<caption>
<p>A schematic figure of the impact of solar activity on the summer temperature over Eurasia. &#x2018;TCC&#x2019;, &#x2018;SSR&#x2019;, and &#x2018;H&#x2019; represent the total cloud cover, surface net solar radiation, and the high-pressure center, respectively. The black arrows in the middle panel show the north-westerly wind. Positive (Negative) anomalies are marked by red (blue) dots. The blue (red) widened vectors show the cyclonic (anti-cyclonic) anomalies.</p>
</caption>
<graphic xlink:href="feart-10-1087737-g013.tif"/>
</fig>
<p>The connection between temperature distribution and solar activity was strong and decadal stable until 1980. The key response areas change from Central Asia in the middle latitudes to Northern Europe in the mid-high latitudes after 1980 due to the change in atmospheric conditions. As the mechanism mentioned above, the arrival of solar activity signals on the ground depends on the transport of atmospheric circulation and the reflection of the cloud-radiation process. The impact of solar activity on the temperature over Central Asia and even the whole of Eurasia would be convinced to be established again in the future if the atmospheric change stemmed from climate internal variability. Solar activity still can be considered a non-negligible factor in the prediction of the summer temperature in Eurasia.</p>
</sec>
</body>
<back>
<sec sec-type="data-availability" id="s7">
<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 sec-type="author-contributions" id="s8">
<title>Author contributions</title>
<p>The authors confirm their contribution to the paper as follows: study conception and design: ZX; data collection and analysis: WL; draft manuscript preparation: WL and XF. All authors reviewed the results and approved the final version of the manuscript.</p>
</sec>
<sec id="s9">
<title>Funding</title>
<p>This work was supported by the Natural Science Foundation of China (U1902209, 42030204) and the Specialized Research Fund for State Key Laboratories.</p>
</sec>
<ack>
<p>We thank Liang Zhao for sharing his suggestions on this research. We are grateful for the thoughtful comments and recommendations from two reviewers.</p>
</ack>
<sec sec-type="COI-statement" id="s10">
<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="correction-note" id="s30">
<title>Correction note</title>
<p>This article has been corrected with minor changes. These changes do not impact the scientific content of the article.</p>
</sec>
<sec sec-type="disclaimer" id="s11">
<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>
<ref-list>
<title>References</title>
<ref id="B1">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Brehm</surname>
<given-names>N.</given-names>
</name>
<name>
<surname>Bayliss</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Christl</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Synal</surname>
<given-names>H.-A.</given-names>
</name>
<name>
<surname>Adolphi</surname>
<given-names>F.</given-names>
</name>
<name>
<surname>Beer</surname>
<given-names>J.</given-names>
</name>
<etal/>
</person-group> (<year>2021</year>). <article-title>Eleven-year solar cycles over the last millennium revealed by radiocarbon in tree rings</article-title>. <source>Nat. Geosci.</source> <volume>14</volume> (<issue>1</issue>), <fpage>10</fpage>&#x2013;<lpage>15</lpage>. <pub-id pub-id-type="doi">10.1038/s41561-020-00674-0</pub-id>
</citation>
</ref>
<ref id="B2">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Cao</surname>
<given-names>L.</given-names>
</name>
</person-group> (<year>2021</year>). <article-title>Climate system response to solar radiation modification</article-title>. <source>Clim. Change Res.</source> <volume>17</volume> (<issue>6</issue>), <fpage>671</fpage>&#x2013;<lpage>684</lpage>. <pub-id pub-id-type="doi">10.12006/j.issn.1673-1719.2021.170</pub-id>
</citation>
</ref>
<ref id="B3">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Chen</surname>
<given-names>H.</given-names>
</name>
<name>
<surname>Ma</surname>
<given-names>H.</given-names>
</name>
<name>
<surname>Li</surname>
<given-names>X.</given-names>
</name>
<name>
<surname>Sun</surname>
<given-names>S.</given-names>
</name>
</person-group> (<year>2015</year>). <article-title>Solar influences on spatial patterns of Eurasian winter temperature and atmospheric general circulation anomalies</article-title>. <source>J. Geophys. Res. Atmos.</source> <volume>120</volume> (<issue>17</issue>), <fpage>8642</fpage>&#x2013;<lpage>8657</lpage>. <pub-id pub-id-type="doi">10.1002/2015jd023415</pub-id>
</citation>
</ref>
<ref id="B4">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Chen</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Wu</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>Chen</surname>
<given-names>W.</given-names>
</name>
<name>
<surname>Yao</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Yu</surname>
<given-names>B.</given-names>
</name>
</person-group> (<year>2020</year>). <article-title>Coherent interannual variations of springtime surface temperature and temperature extremes between central&#x2010;northern Europe and northeast Asia</article-title>. <source>J. Geophys. Res. Atmos.</source> <volume>125</volume> (<issue>11</issue>). <pub-id pub-id-type="doi">10.1029/2019jd032226</pub-id>
</citation>
</ref>
<ref id="B5">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Chiodo</surname>
<given-names>G.</given-names>
</name>
<name>
<surname>Oehrlein</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Polvani</surname>
<given-names>L. M.</given-names>
</name>
<name>
<surname>Fyfe</surname>
<given-names>J. C.</given-names>
</name>
<name>
<surname>Smith</surname>
<given-names>A. K.</given-names>
</name>
</person-group> (<year>2019</year>). <article-title>Insignificant influence of the 11-year solar cycle on the north Atlantic oscillation</article-title>. <source>Nat. Geosci.</source> <volume>12</volume> (<issue>2</issue>), <fpage>94</fpage>&#x2013;<lpage>99</lpage>. <pub-id pub-id-type="doi">10.1038/s41561-018-0293-3</pub-id>
</citation>
</ref>
<ref id="B6">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Connolly</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>Soon</surname>
<given-names>W.</given-names>
</name>
<name>
<surname>Connolly</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Baliunas</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Berglund</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Butler</surname>
<given-names>C. J.</given-names>
</name>
<etal/>
</person-group> (<year>2021</year>). <article-title>How much has the sun influenced northern hemisphere temperature trends? An ongoing debate</article-title>. <source>Res. Astron. Astrophys.</source> <volume>21</volume> (<issue>6</issue>), <fpage>131</fpage>. <pub-id pub-id-type="doi">10.1088/1674-4527/21/6/131</pub-id>
</citation>
</ref>
<ref id="B7">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Ding</surname>
<given-names>Y.</given-names>
</name>
</person-group> (<year>2019</year>). <article-title>Effect of solar activity on Earth&#x27;s climate and weather</article-title>. <source>Meteorol. Mon. (in Chin.</source> <volume>45</volume> (<issue>03</issue>), <fpage>297</fpage>&#x2013;<lpage>304</lpage>. <pub-id pub-id-type="doi">10.7519/j.issn.1000-0526.2019.03.001</pub-id>
</citation>
</ref>
<ref id="B8">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Duan</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Zhang</surname>
<given-names>Q.-B.</given-names>
</name>
</person-group> (<year>2014</year>). <article-title>A 449 year warm season temperature reconstruction in the southeastern Tibetan Plateau and its relation to solar activity</article-title>. <source>J. Geophys. Res. Atmos.</source> <volume>119</volume> (<issue>2011</issue>), <fpage>11,578</fpage>&#x2013;<lpage>11,592</lpage>. <pub-id pub-id-type="doi">10.1002/2014jd022422</pub-id>
</citation>
</ref>
<ref id="B9">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Georgieva</surname>
<given-names>K.</given-names>
</name>
<name>
<surname>Kirov</surname>
<given-names>B.</given-names>
</name>
<name>
<surname>Tonev</surname>
<given-names>P.</given-names>
</name>
<name>
<surname>Guineva</surname>
<given-names>V.</given-names>
</name>
<name>
<surname>Atanasov</surname>
<given-names>D.</given-names>
</name>
</person-group> (<year>2007</year>). <article-title>Long-term variations in the correlation between NAO and solar activity: The importance of north&#x2013;south solar activity asymmetry for atmospheric circulation</article-title>. <source>Adv. Space Res.</source> <volume>40</volume> (<issue>7</issue>), <fpage>1152</fpage>&#x2013;<lpage>1166</lpage>. <pub-id pub-id-type="doi">10.1016/j.asr.2007.02.091</pub-id>
</citation>
</ref>
<ref id="B10">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Gray</surname>
<given-names>L. J.</given-names>
</name>
<name>
<surname>Beer</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Geller</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Haigh</surname>
<given-names>J. D.</given-names>
</name>
<name>
<surname>Lockwood</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Matthes</surname>
<given-names>K.</given-names>
</name>
<etal/>
</person-group> (<year>2010</year>). <article-title>Solar influences on climate</article-title>. <source>Rev. Geophys.</source> <volume>48</volume> (<issue>4</issue>), <fpage>RG4001</fpage>. <pub-id pub-id-type="doi">10.1029/2009rg000282</pub-id>
</citation>
</ref>
<ref id="B11">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Hong</surname>
<given-names>X.</given-names>
</name>
<name>
<surname>Lu</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>Li</surname>
<given-names>S.</given-names>
</name>
</person-group> (<year>2017</year>). <article-title>Amplified summer warming in europe&#x2013;west Asia and northeast Asia after the mid-1990s</article-title>. <source>Environ. Res. Lett.</source> <volume>12</volume> (<issue>9</issue>), <fpage>094007</fpage>. <pub-id pub-id-type="doi">10.1088/1748-9326/aa7909</pub-id>
</citation>
</ref>
<ref id="B12">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Huang</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Rao</surname>
<given-names>Z.</given-names>
</name>
<name>
<surname>Li</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Yang</surname>
<given-names>W.</given-names>
</name>
<name>
<surname>Liu</surname>
<given-names>L.</given-names>
</name>
<name>
<surname>Zhang</surname>
<given-names>X.</given-names>
</name>
<etal/>
</person-group> (<year>2020</year>). <article-title>Holocene summer temperature in arid central Asia linked to millennial-scale North Atlantic climate events and driven by centennial-scale solar activity</article-title>. <source>Palaeogeogr. Palaeoclimatol. Palaeoecol.</source> <volume>556</volume>, <fpage>109880</fpage>. <pub-id pub-id-type="doi">10.1016/j.palaeo.2020.109880</pub-id>
</citation>
</ref>
<ref id="B13">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Huo</surname>
<given-names>W.</given-names>
</name>
<name>
<surname>Xiao</surname>
<given-names>Z.</given-names>
</name>
<name>
<surname>Wang</surname>
<given-names>X.</given-names>
</name>
<name>
<surname>Zhao</surname>
<given-names>L.</given-names>
</name>
</person-group> (<year>2021</year>). <article-title>Lagged responses of the tropical pacific to the 11-yr solar cycle forcing and possible mechanisms</article-title>. <source>J. Meteorol. Res.</source> <volume>35</volume> (<issue>3</issue>), <fpage>444</fpage>&#x2013;<lpage>459</lpage>. <pub-id pub-id-type="doi">10.1007/s13351-021-0137-8</pub-id>
</citation>
</ref>
<ref id="B14">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Ionita</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Lohmann</surname>
<given-names>G.</given-names>
</name>
<name>
<surname>Rimbu</surname>
<given-names>N.</given-names>
</name>
<name>
<surname>Scholz</surname>
<given-names>P.</given-names>
</name>
</person-group> (<year>2012</year>). <article-title>Dominant modes of Diurnal Temperature Range variability over Europe and their relationships with large-scale atmospheric circulation and sea surface temperature anomaly patterns</article-title>. <source>J. Geophys. Res.</source> <volume>117</volume> (<issue>D15</issue>), <fpage>n/a</fpage>. <pub-id pub-id-type="doi">10.1029/2011jd016669</pub-id>
</citation>
</ref>
<ref id="B15">
<citation citation-type="book">
<collab>IPCC</collab> (<year>2021</year>). <source>Climate change 2021: The physical science basis</source>. <publisher-loc>Switzerland, Geneva</publisher-loc>: <publisher-name>C.C.U. Press</publisher-name>.</citation>
</ref>
<ref id="B16">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Kilcik</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Ozguc</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Rozelot</surname>
<given-names>J. P.</given-names>
</name>
</person-group> (<year>2010</year>). <article-title>Latitude dependency of solar flare index-temperature relation occuring over middle and high latitudes of Atlantic-Eurasian region</article-title>. <source>J. Atmos. SOLAR-TERRESTRIAL Phys.</source> <volume>72</volume> (<issue>18</issue>), <fpage>1379</fpage>&#x2013;<lpage>1386</lpage>. <pub-id pub-id-type="doi">10.1016/j.jastp.2010.10.002</pub-id>
</citation>
</ref>
<ref id="B17">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Kilcik</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>&#xd6;zg&#xfc;&#xe7;</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Rozelot</surname>
<given-names>J. P.</given-names>
</name>
<name>
<surname>Ye&#x15f;ilyurt</surname>
<given-names>S.</given-names>
</name>
</person-group> (<year>2008</year>). <article-title>Possible traces of solar activity effect on the surface air temperature of Turkey</article-title>. <source>J. Atmos. Solar-Terrestrial Phys.</source> <volume>70</volume> (<issue>13</issue>), <fpage>1669</fpage>&#x2013;<lpage>1677</lpage>. <pub-id pub-id-type="doi">10.1016/j.jastp.2008.07.002</pub-id>
</citation>
</ref>
<ref id="B18">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Kilcik</surname>
<given-names>A.</given-names>
</name>
</person-group> (<year>2005</year>). <article-title>Regional sun&#x2013;climate interaction</article-title>. <source>J. Atmos. Solar-Terrestrial Phys.</source> <volume>67</volume> (<issue>16</issue>), <fpage>1573</fpage>&#x2013;<lpage>1579</lpage>. <pub-id pub-id-type="doi">10.1016/j.jastp.2005.09.003</pub-id>
</citation>
</ref>
<ref id="B19">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Kodera</surname>
<given-names>K.</given-names>
</name>
<name>
<surname>Thi&#xe9;blemont</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>Yukimoto</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Matthes</surname>
<given-names>K.</given-names>
</name>
</person-group> (<year>2016</year>). <article-title>How can we understand the global distribution of the solar cycle signal on the Earth&#x27;s surface?</article-title> <source>Atmos. Chem. Phys.</source> <volume>16</volume> (<issue>20</issue>), <fpage>12925</fpage>&#x2013;<lpage>12944</lpage>. <pub-id pub-id-type="doi">10.5194/acp-16-12925-2016</pub-id>
</citation>
</ref>
<ref id="B20">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Kossobokov</surname>
<given-names>V.</given-names>
</name>
<name>
<surname>Le Mou&#xeb;l</surname>
<given-names>J.-L.</given-names>
</name>
<name>
<surname>Courtillot</surname>
<given-names>V.</given-names>
</name>
</person-group> (<year>2010</year>). <article-title>A statistically significant signature of multi-decadal solar activity changes in atmospheric temperatures at three European stations</article-title>. <source>J. Atmos. Solar-Terrestrial Phys.</source> <volume>72</volume> (<issue>7-8</issue>), <fpage>595</fpage>&#x2013;<lpage>606</lpage>. <pub-id pub-id-type="doi">10.1016/j.jastp.2010.02.016</pub-id>
</citation>
</ref>
<ref id="B21">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Liu</surname>
<given-names>X.</given-names>
</name>
<name>
<surname>Rao</surname>
<given-names>Z.</given-names>
</name>
<name>
<surname>Shen</surname>
<given-names>C. C.</given-names>
</name>
<name>
<surname>Liu</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Chen</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Chen</surname>
<given-names>S.</given-names>
</name>
<etal/>
</person-group> (<year>2019</year>). <article-title>Holocene solar activity imprint on centennial&#x2010; to multidecadal&#x2010;scale hydroclimatic oscillations in arid central Asia</article-title>. <source>J. Geophys. Res. Atmos.</source> <volume>124</volume> (<issue>5</issue>), <fpage>2562</fpage>&#x2013;<lpage>2573</lpage>. <pub-id pub-id-type="doi">10.1029/2018jd029699</pub-id>
</citation>
</ref>
<ref id="B22">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Maliniemi</surname>
<given-names>V.</given-names>
</name>
<name>
<surname>Asikainen</surname>
<given-names>T.</given-names>
</name>
<name>
<surname>Mursula</surname>
<given-names>K.</given-names>
</name>
</person-group> (<year>2014</year>). <article-title>Spatial distribution of Northern Hemisphere winter temperatures during different phases of the solar cycle</article-title>. <source>J. Geophys. Res. Atmos.</source> <volume>119</volume> (<issue>16</issue>), <fpage>9752</fpage>&#x2013;<lpage>9764</lpage>. <pub-id pub-id-type="doi">10.1002/2013jd021343</pub-id>
</citation>
</ref>
<ref id="B23">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Miyazaki</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Yasunari</surname>
<given-names>T.</given-names>
</name>
</person-group> (<year>2008</year>). <article-title>Dominant interannual and decadal variability of winter surface air temperature over Asia and the surrounding oceans</article-title>. <source>J. Clim.</source> <volume>21</volume> (<issue>6</issue>), <fpage>1371</fpage>&#x2013;<lpage>1386</lpage>. <pub-id pub-id-type="doi">10.1175/2007jcli1845.1</pub-id>
</citation>
</ref>
<ref id="B24">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Ning</surname>
<given-names>G.</given-names>
</name>
<name>
<surname>Luo</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Wang</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Liu</surname>
<given-names>Z.</given-names>
</name>
<name>
<surname>Wang</surname>
<given-names>P.</given-names>
</name>
<name>
<surname>Yang</surname>
<given-names>Y.</given-names>
</name>
</person-group> (<year>2022</year>). <article-title>Dominant modes of summer wet bulb temperature in China</article-title>. <source>Clim. Dyn.</source> <volume>59</volume> (<issue>5-6</issue>), <fpage>1473</fpage>&#x2013;<lpage>1488</lpage>. <pub-id pub-id-type="doi">10.1007/s00382-021-06051-w</pub-id>
</citation>
</ref>
<ref id="B25">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Ogurtsov</surname>
<given-names>M. G.</given-names>
</name>
<name>
<surname>Veretenenko</surname>
<given-names>S. V.</given-names>
</name>
</person-group> (<year>2017</year>). <article-title>Possible contribution of variations in the galactic cosmic ray flux to the global temperature rise in recent decades</article-title>. <source>Geomagn. Aeron.</source> <volume>57</volume> (<issue>7</issue>), <fpage>886</fpage>&#x2013;<lpage>890</lpage>. <pub-id pub-id-type="doi">10.1134/s0016793217070143</pub-id>
</citation>
</ref>
<ref id="B26">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Ogurtsov</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Veretenenko</surname>
<given-names>S. V.</given-names>
</name>
<name>
<surname>Helama</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Jalkanen</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>Lindholm</surname>
<given-names>M.</given-names>
</name>
</person-group> (<year>2020</year>). <article-title>Assessing the signals of the Hale solar cycle in temperature proxy records from Northern Fennoscandia</article-title>. <source>Adv. Space Res.</source> <volume>66</volume> (<issue>9</issue>), <fpage>2113</fpage>&#x2013;<lpage>2121</lpage>. <pub-id pub-id-type="doi">10.1016/j.asr.2020.07.038</pub-id>
</citation>
</ref>
<ref id="B27">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Ojala</surname>
<given-names>A. E. K.</given-names>
</name>
<name>
<surname>Launonen</surname>
<given-names>I.</given-names>
</name>
<name>
<surname>Holmstr&#xf6;m</surname>
<given-names>L.</given-names>
</name>
<name>
<surname>Tiljander</surname>
<given-names>M.</given-names>
</name>
</person-group> (<year>2015</year>). <article-title>Effects of solar forcing and North Atlantic oscillation on the climate of continental Scandinavia during the Holocene</article-title>. <source>Quat. Sci. Rev.</source> <volume>112</volume>, <fpage>153</fpage>&#x2013;<lpage>171</lpage>. <pub-id pub-id-type="doi">10.1016/j.quascirev.2015.01.021</pub-id>
</citation>
</ref>
<ref id="B28">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Scafetta</surname>
<given-names>N.</given-names>
</name>
</person-group> (<year>2014</year>). <article-title>Discussion on the spectral coherence between planetary, solar and climate oscillations: A reply to some critiques</article-title>. <source>Astrophys. Space Sci.</source> <volume>354</volume> (<issue>2</issue>), <fpage>275</fpage>&#x2013;<lpage>299</lpage>. <pub-id pub-id-type="doi">10.1007/s10509-014-2111-8</pub-id>
</citation>
</ref>
<ref id="B29">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Song</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Chen</surname>
<given-names>H.</given-names>
</name>
<name>
<surname>Yang</surname>
<given-names>J.</given-names>
</name>
</person-group> (<year>2022</year>). <article-title>The dominant modes of spring land surface temperature over western Eurasia and their possible linkages with large&#x2010;scale atmospheric teleconnection patterns</article-title>. <source>JGR. Atmos.</source> <volume>127</volume> (<issue>4</issue>). <pub-id pub-id-type="doi">10.1029/2021jd035720</pub-id>
</citation>
</ref>
<ref id="B30">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Song</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Li</surname>
<given-names>Z.</given-names>
</name>
<name>
<surname>Gu</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Liou</surname>
<given-names>K.-N.</given-names>
</name>
<name>
<surname>Zhang</surname>
<given-names>X.</given-names>
</name>
<name>
<surname>Xiao</surname>
<given-names>Z.</given-names>
</name>
</person-group> (<year>2019</year>). <article-title>The effect of solar cycle on climate of northeast Asia</article-title>. <source>J. Meteorol. Res.</source> <volume>33</volume> (<issue>5</issue>), <fpage>885</fpage>&#x2013;<lpage>894</lpage>. <pub-id pub-id-type="doi">10.1007/s13351-019-8132-z</pub-id>
</citation>
</ref>
<ref id="B31">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Soon</surname>
<given-names>W. W. H.</given-names>
</name>
</person-group> (<year>2005</year>). <article-title>Variable solar irradiance as a plausible agent for multidecadal variations in the Arctic-wide surface air temperature record of the past 130 years</article-title>. <source>Geophys. Res. Lett.</source> <volume>32</volume> (<issue>16</issue>), <fpage>L16712</fpage>. <pub-id pub-id-type="doi">10.1029/2005gl023429</pub-id>
</citation>
</ref>
<ref id="B32">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Tang</surname>
<given-names>Q.</given-names>
</name>
<name>
<surname>Leng</surname>
<given-names>G.</given-names>
</name>
</person-group> (<year>2012</year>). <article-title>Damped summer warming accompanied with cloud cover increase over Eurasia from 1982 to 2009</article-title>. <source>Environ. Res. Lett.</source> <volume>7</volume> (<issue>1</issue>), <fpage>014004</fpage>. <pub-id pub-id-type="doi">10.1088/1748-9326/7/1/014004</pub-id>
</citation>
</ref>
<ref id="B33">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Tang</surname>
<given-names>Q.</given-names>
</name>
<name>
<surname>Leng</surname>
<given-names>G.</given-names>
</name>
<name>
<surname>Groisman</surname>
<given-names>P. Y.</given-names>
</name>
</person-group> (<year>2012</year>). <article-title>European hot summers associated with a reduction of cloudiness</article-title>. <source>J. Clim.</source> <volume>25</volume> (<issue>10</issue>), <fpage>3637</fpage>&#x2013;<lpage>3644</lpage>. <pub-id pub-id-type="doi">10.1175/jcli-d-12-00040.1</pub-id>
</citation>
</ref>
<ref id="B34">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Thi&#xe9;blemont</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>Matthes</surname>
<given-names>K.</given-names>
</name>
<name>
<surname>Omrani</surname>
<given-names>N.-E.</given-names>
</name>
<name>
<surname>Kodera</surname>
<given-names>K.</given-names>
</name>
<name>
<surname>Hansen</surname>
<given-names>F.</given-names>
</name>
</person-group> (<year>2015</year>). <article-title>Solar forcing synchronizes decadal North Atlantic climate variability</article-title>. <source>Nat. Commun.</source> <volume>6</volume> (<issue>1</issue>), <fpage>8268</fpage>. <pub-id pub-id-type="doi">10.1038/ncomms9268</pub-id>
<pub-id pub-id-type="pmid">26369503</pub-id>
</citation>
</ref>
<ref id="B35">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Veretenenko</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Ogurtsov</surname>
<given-names>M.</given-names>
</name>
</person-group> (<year>2012</year>). <article-title>Regional and temporal variability of solar activity and galactic cosmic ray effects on the lower atmosphere circulation</article-title>. <source>Adv. Space Res.</source> <volume>49</volume> (<issue>4</issue>), <fpage>770</fpage>&#x2013;<lpage>783</lpage>. <pub-id pub-id-type="doi">10.1016/j.asr.2011.11.020</pub-id>
</citation>
</ref>
<ref id="B36">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Wang</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Miao</surname>
<given-names>Q.-L.</given-names>
</name>
<name>
<surname>E</surname>
<given-names>C.-Y.</given-names>
</name>
<name>
<surname>Han</surname>
<given-names>J.-K.</given-names>
</name>
<name>
<surname>Ding</surname>
<given-names>Y.-Y.</given-names>
</name>
</person-group> (<year>2010</year>). <article-title>Relation between temperature changes of the mid-upper troposphere over Eurasian mid-high latitudes and solar irradiance in the twentieth century</article-title>. <source>Environ. Earth Sci.</source> <volume>60</volume> (<issue>6</issue>), <fpage>1257</fpage>&#x2013;<lpage>1266</lpage>. <pub-id pub-id-type="doi">10.1007/s12665-009-0266-3</pub-id>
</citation>
</ref>
<ref id="B37">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Wu</surname>
<given-names>X.</given-names>
</name>
<name>
<surname>Sun</surname>
<given-names>Z.</given-names>
</name>
</person-group> (<year>2015</year>). <article-title>Climatic features of summer land surface temperature in Eurasian continent and its relationship with atmospheric circulation</article-title>. <source>Trans. Atmos. Sci. (in Chin.</source> <volume>38</volume> (<issue>02</issue>), <fpage>195</fpage>&#x2013;<lpage>204</lpage>.</citation>
</ref>
<ref id="B38">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Xiao</surname>
<given-names>Z.</given-names>
</name>
</person-group> (<year>2021</year>). <article-title>Impact of solar activity on Earth&#x0027;s climate</article-title>. <source>Chin. J. Nat.</source> <volume>43</volume>, <fpage>408</fpage>&#x2013;<lpage>419</lpage>. <pub-id pub-id-type="doi">10.3969/j.issn.0253-9608.2021.06.003</pub-id>
</citation>
</ref>
<ref id="B39">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Xu</surname>
<given-names>X.</given-names>
</name>
<name>
<surname>He</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Wang</surname>
<given-names>H.</given-names>
</name>
</person-group> (<year>2020</year>). <article-title>Relationship between solar wind&#x2014;magnetosphere energy and eurasian winter cold events</article-title>. <source>Adv. Atmos. Sci.</source> <volume>37</volume> (<issue>6</issue>), <fpage>652</fpage>&#x2013;<lpage>661</lpage>. <pub-id pub-id-type="doi">10.1007/s00376-020-9153-3</pub-id>
</citation>
</ref>
<ref id="B40">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Zhang</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Liu</surname>
<given-names>L.</given-names>
</name>
<name>
<surname>Li</surname>
<given-names>B.</given-names>
</name>
<name>
<surname>Zheng</surname>
<given-names>D.</given-names>
</name>
</person-group> (<year>2021</year>). <article-title>Comparison of Qinghai-Tibet Plateau extent dataset 2021 edition with 2014 edition</article-title>. <source>J. Glob. Change Data &#x26; Discov.</source> <volume>5</volume> (<issue>3</issue>).</citation>
</ref>
<ref id="B41">
<citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname>Zhang</surname>
<given-names>Z.</given-names>
</name>
<name>
<surname>Moore</surname>
<given-names>J. C.</given-names>
</name>
</person-group> (<year>2015</year>). &#x201c;<article-title>Chapter 6 - empirical orthogonal functions</article-title>,&#x201d; in <source>Mathematical and physical fundamentals of climate change</source>. Editors <person-group person-group-type="editor">
<name>
<surname>Zhang</surname>
<given-names>Z.</given-names>
</name>
<name>
<surname>Moore</surname>
<given-names>J. C.</given-names>
</name>
</person-group> (<publisher-loc>Boston</publisher-loc>: <publisher-name>Elsevier</publisher-name>), <fpage>161</fpage>&#x2013;<lpage>197</lpage>.</citation>
</ref>
<ref id="B42">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Zhao</surname>
<given-names>X.</given-names>
</name>
<name>
<surname>Feng</surname>
<given-names>X.</given-names>
</name>
</person-group> (<year>2014</year>). <article-title>Periodicities of solar activity and the surface temperature variation of the Earth and their correlations</article-title>. <source>Chin. Sci. Bull.</source> <volume>59</volume> (<issue>14</issue>), <fpage>1284</fpage>&#x2013;<lpage>1292</lpage>. <pub-id pub-id-type="doi">10.1360/972013-1089</pub-id>
</citation>
</ref>
</ref-list>
</back>
</article>