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<article xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:oasis="http://docs.oasis-open.org/ns/oasis-exchange/table" xml:lang="en" dtd-version="3.0">
  <front>
    <journal-meta><journal-id journal-id-type="publisher">CP</journal-id><journal-title-group>
    <journal-title>Climate of the Past</journal-title>
    <abbrev-journal-title abbrev-type="publisher">CP</abbrev-journal-title><abbrev-journal-title abbrev-type="nlm-ta">Clim. Past</abbrev-journal-title>
  </journal-title-group><issn pub-type="epub">1814-9332</issn><publisher>
    <publisher-name>Copernicus Publications</publisher-name>
    <publisher-loc>Göttingen, Germany</publisher-loc>
  </publisher></journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.5194/cp-14-1213-2018</article-id><title-group><article-title>Response of <italic>Pinus sylvestris</italic> var. <italic>mongolica</italic> to water change and drought history reconstruction in the
past 260 years, northeast China</article-title><alt-title>A PDSI reconstruction for the central Daxing'an Mountains, NE China</alt-title>
      </title-group><?xmltex \runningtitle{A PDSI reconstruction for the central Daxing'an Mountains, NE China}?><?xmltex \runningauthor{L. Zhu et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Zhu</surname><given-names>Liangjun</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Yao</surname><given-names>Qichao</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Cooper</surname><given-names>David J.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3 aff4">
          <name><surname>Han</surname><given-names>Shijie</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Wang</surname><given-names>Xiaochun</given-names></name>
          <email>wangx@nefu.edu.cn</email>
        <ext-link>https://orcid.org/0000-0002-8897-5077</ext-link></contrib>
        <aff id="aff1"><label>1</label><institution>School of Forestry, Northeast Forestry University, Harbin 150040,
China</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Department of Forest and Rangeland Stewardship, Colorado State
University, Fort Collins, CO 80523, USA</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>School of Life Science, Henan University, Kaifeng 475004, China</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>Institute of Applied Ecology, Chinese Academy of Sciences, Shenyang
110016, China</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Xiaochun Wang (wangx@nefu.edu.cn)</corresp></author-notes><pub-date><day>15</day><month>August</month><year>2018</year></pub-date>
      
      <volume>14</volume>
      <issue>8</issue>
      <fpage>1213</fpage><lpage>1228</lpage>
      <history>
        <date date-type="received"><day>14</day><month>March</month><year>2018</year></date>
           <date date-type="rev-request"><day>27</day><month>March</month><year>2018</year></date>
           <date date-type="rev-recd"><day>9</day><month>July</month><year>2018</year></date>
           <date date-type="accepted"><day>1</day><month>August</month><year>2018</year></date>
      </history>
      <permissions>
        
        
      <license license-type="open-access"><license-p>This work is licensed under the Creative Commons Attribution 4.0 International License. To view a copy of this licence, visit <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">https://creativecommons.org/licenses/by/4.0/</ext-link></license-p></license></permissions><self-uri xlink:href="https://cp.copernicus.org/articles/14/1213/2018/cp-14-1213-2018.html">This article is available from https://cp.copernicus.org/articles/14/1213/2018/cp-14-1213-2018.html</self-uri><self-uri xlink:href="https://cp.copernicus.org/articles/14/1213/2018/cp-14-1213-2018.pdf">The full text article is available as a PDF file from https://cp.copernicus.org/articles/14/1213/2018/cp-14-1213-2018.pdf</self-uri>
      <abstract>
    <p id="d1e143">We present a 260-year annual Palmer drought
severity index (PDSI) reconstruction based on a tree-ring width
chronology of Scots pine (<italic>Pinus sylvestris</italic> var. <italic>mongolica</italic>)
from four sample sites in the central Daxing'an Mountains, northeast China.
The reconstruction equation explained 38.2 % of the variance of annual
PDSI in the calibration period from 1911 to 2010. Our reconstruction
confirmed the local historical documents and other nearby hydroclimate
reconstructions. Drought in the 1920s–1930s was more severe in the Daxing'an
Mountains than in the surrounding areas. A slight moisture increase was
identified in the study area, while a warm–dry pattern was found in the
west-central Mongolian Plateau (mildly drier) and its transition zones: the
west-central Mongolian Plateau (severely drier). Overall, the variation of
drought in the Daxing'an Mountains and its relationship with surrounding
areas may be affected by the Pacific or Atlantic oscillations (e.g., ENSO,
PDO, AMO, NAO and SNAO), which can affect the Asian monsoon, change the local
temperature and precipitation, and lead to drought.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <title>Introduction</title>
      <p id="d1e159">Drought as one of the major natural disasters is being more frequently
influenced by climate change in the world (Cook et al., 2010; Dai, 2011, 2013;
Davi et al., 2006; Li et al., 2016). Severe droughts can threaten agriculture
and human social activities, and also have a devastating impact on human
lives and the survival of native and domestic plants and animals (Cook et
al., 2010; Dong et al., 2013; Shen, 2008; Sun, 2007). Drought is one of the
most severe and frequent natural disasters in China, especially in semi-arid
and arid regions (Bao et al., 2015; Chen et al., 2015; Cook et al., 2010;
Dong et al., 2013; Liang et al., 2006; Shen, 2008; Sun and Liu, 2013; Xu,
1998). For example, the drought in the 1920s affected almost all of northern
China, accompanied by severe economic and social losses (Dong et al., 2013;
Liang et al., 2006; Shen, 2008; Sun, 2007). Recent studies indicate a trend
of increasing drought frequency, persistence and severity due to global
warming in many regions of the world (Bao et al., 2015; Cook et al., 2010;
Dai, 2011, 2013; Schrier et al., 2013). A rapid and pronounced warming
accompanied by a decrease in precipitation has occurred in China, especially
in high-latitude and high-altitude regions (Bao et al., 2015; Chen et al.,
2015; Cook et al., 2010; Dai, 2013; Sun and Liu, 2013; Zhu et al., 2017),
leading to severe and prolonged drought in recent decades, such as from 1999
to 2002 (Bao et al., 2015; Liu et al., 2009; Shen, 2008).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1" specific-use="star"><caption><p id="d1e164">Sampling sites and weather station distribution map. The red
circles, star and black square are the sampled sites, Palmer drought
severity index (PDSI) grid point and
the weather station, respectively. The red box represents the northern
Daxing'an Mountains (this study). The blue and green boxes represent the east
and west-central Mongolian Plateau, respectively.</p></caption>
        <?xmltex \igopts{width=327.206693pt}?><graphic xlink:href="https://cp.copernicus.org/articles/14/1213/2018/cp-14-1213-2018-f01.png"/>

      </fig>

      <p id="d1e173">The Daxing'an Mountains in northeast China are a transition area from
semi-humid climate in the east to more arid conditions in the west (Bao et
al., 2015; Zhao et al., 2002). The Asian monsoon system directly affects the
occurrence, intensity and severity of droughts and floods (Bao et al., 2015;
Cook et al., 2010; Liang et al., 2006; Wang et al., 2013, 2005; Zhao et al.,
2002) that have devastating effects on human society and economy as well as
natural ecosystems (Sun, 2007; Xu, 1998). For example, the drought in 2009
affected 81 million people in northeast China<?pagebreak page1214?> and more than
720 000 ha of farmland suffered from water
shortages
(<uri>http://www.chinadaily.com.cn/cndy/2009-08/13/content_8562996.htm</uri>, last
access: 20 May 2017). In addition, drought in
the Daxing'an Mountains, especially in spring or early summer, often leads to
a high risk of forest wildfires and increases the occurrence of large wildfires
(Sun, 2007). The fire caused by drought in the northern Daxing'an Mountains in
May 1987 killed over 200 people and burned <inline-formula><mml:math id="M1" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">17</mml:mn></mml:mrow></mml:math></inline-formula> 000 km<inline-formula><mml:math id="M2" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> of land (Sun,
2007; Yao et al., 2017).</p>
      <p id="d1e198">To better characterize current drought conditions and project those of the
future, an improved understanding of past drought variability and potential
forcing mechanisms is necessary. However, the shorter meteorological records
in the Daxing'an Mountains that only started in the 1950s limited our understanding of the
long-term regime of past droughts. Tree rings can serve as an important
high-resolution proxy for long-term drought reconstructions (Cook et al., 2010;
Dai, 2011; Pederson et al., 2013), and several hydroclimate reconstructions
(Bao et al., 2015; Lv and Wang, 2014; Wang and Lv, 2012) have been conducted
in northern China. Cook et al. (2010) also reconstructed the
June–July–August Dai Palmer drought
severity index (PDSI)  in 534 grid points (Monsoon Asia Drought Atlas,
MADA) in monsoon-affected Asia using 327 tree-ring width chronologies. However, some
disagreement occurs between the MADA and the tree-ring-based local drought
reconstructions and instrumental drought data, especially in eastern Asia,
which might be an insufficient tree-ring datum in eastern Asia used in MADA
(Li et al., 2015; Liu et al., 2017). Additional drought reconstructions in
eastern Asia are needed to gain a more thorough understanding of the
variability in the Asian monsoon. Many researchers use the PDSI, calculated from a water balance equation,
incorporating air temperature and precipitation, to estimate drought
periodicity and intensity (Bao et al., 2015; Cook et al., 2010; Dai, 2011;
Sun and Liu, 2013). Here, we present a 260-year reconstruction of annual PDSI
using tree-ring chronologies from the Daxing'an Mountains to identify the
timing of droughts and their correlation with eastern Mongolian Plateau
climate as well as their potential forcing mechanisms.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T1" specific-use="star"><caption><p id="d1e205">Site description and statistical characteristic of the <italic>Pinus sylvestris</italic> var. <italic>mongolica</italic> dendrochronologies in the Daxing'an
Mountains.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="8">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="right"/>
     <oasis:colspec colnum="8" colname="col8" align="right"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Site</oasis:entry>
         <oasis:entry colname="col2">Latitude (N)</oasis:entry>
         <oasis:entry colname="col3">Longitude (E)</oasis:entry>
         <oasis:entry colname="col4">Elevation (m)</oasis:entry>
         <oasis:entry colname="col5">Number of trees</oasis:entry>
         <oasis:entry colname="col6">Time span</oasis:entry>
         <oasis:entry colname="col7">EPS<inline-formula><mml:math id="M5" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8">RBAR<inline-formula><mml:math id="M6" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Keyihe (KY)</oasis:entry>
         <oasis:entry colname="col2">50<inline-formula><mml:math id="M7" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>39<inline-formula><mml:math id="M8" display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula>44.8<inline-formula><mml:math id="M9" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>′</mml:mo><mml:mo>′</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">122<inline-formula><mml:math id="M10" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>23<inline-formula><mml:math id="M11" display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula>13.3<inline-formula><mml:math id="M12" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>′</mml:mo><mml:mo>′</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">550</oasis:entry>
         <oasis:entry colname="col5">36</oasis:entry>
         <oasis:entry colname="col6">1725–2010</oasis:entry>
         <oasis:entry colname="col7">0.93</oasis:entry>
         <oasis:entry colname="col8">0.57</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Alihe (AL)</oasis:entry>
         <oasis:entry colname="col2">50<inline-formula><mml:math id="M13" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>38<inline-formula><mml:math id="M14" display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula>37.7<inline-formula><mml:math id="M15" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>′</mml:mo><mml:mo>′</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">124<inline-formula><mml:math id="M16" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>28<inline-formula><mml:math id="M17" display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula>28.7<inline-formula><mml:math id="M18" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>′</mml:mo><mml:mo>′</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">380</oasis:entry>
         <oasis:entry colname="col5">32</oasis:entry>
         <oasis:entry colname="col6">1742–2010</oasis:entry>
         <oasis:entry colname="col7">0.87</oasis:entry>
         <oasis:entry colname="col8">0.52</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Ganhe (GH)</oasis:entry>
         <oasis:entry colname="col2">50<inline-formula><mml:math id="M19" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>43<inline-formula><mml:math id="M20" display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula>51.9<inline-formula><mml:math id="M21" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>′</mml:mo><mml:mo>′</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">123<inline-formula><mml:math id="M22" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>05<inline-formula><mml:math id="M23" display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula>56.9<inline-formula><mml:math id="M24" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>′</mml:mo><mml:mo>′</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">760</oasis:entry>
         <oasis:entry colname="col5">19</oasis:entry>
         <oasis:entry colname="col6">1793–2010</oasis:entry>
         <oasis:entry colname="col7">0.88</oasis:entry>
         <oasis:entry colname="col8">0.59</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Jinhe (JH)</oasis:entry>
         <oasis:entry colname="col2">50<inline-formula><mml:math id="M25" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>26<inline-formula><mml:math id="M26" display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula>16.7<inline-formula><mml:math id="M27" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>′</mml:mo><mml:mo>′</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">121<inline-formula><mml:math id="M28" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>59<inline-formula><mml:math id="M29" display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula>46.7<inline-formula><mml:math id="M30" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>′</mml:mo><mml:mo>′</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">830</oasis:entry>
         <oasis:entry colname="col5">33</oasis:entry>
         <oasis:entry colname="col6">1769–2011</oasis:entry>
         <oasis:entry colname="col7">0.95</oasis:entry>
         <oasis:entry colname="col8">0.61</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Region (RE)</oasis:entry>
         <oasis:entry colname="col2">–</oasis:entry>
         <oasis:entry colname="col3">–</oasis:entry>
         <oasis:entry colname="col4">–</oasis:entry>
         <oasis:entry colname="col5">–</oasis:entry>
         <oasis:entry colname="col6">1725–2010</oasis:entry>
         <oasis:entry colname="col7">0.97</oasis:entry>
         <oasis:entry colname="col8">0.51</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p id="d1e214"><inline-formula><mml:math id="M3" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula> Expressed population signal statistic.
<inline-formula><mml:math id="M4" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula> RBAR is the mean correlation coefficient between all
tree-ring series used in a chronology.</p></table-wrap-foot></table-wrap>

</sec>
<sec id="Ch1.S2">
  <title>Materials and methods</title>
<sec id="Ch1.S2.SS1">
  <title>Study area</title>
      <p id="d1e689">The Daxing'an Mountains, in northeast Inner Mongolia and the northwest
Heilongjiang Province, form an important natural geographic divide between
the Pacific Ocean and the northwestern semi-arid inland area (Fig. 1). It is
known to be a transition zone from the semi-humid to semi-arid region or from
monsoon to non-monsoon climates (Zhao et al., 2002). The summer monsoons
from the southeast are blocked by the mountains and cannot penetrate
further to the northwest. The western region is more arid, and the eastern
region is wetter. Summer weather is clarified by periodic incursions of warm,
humid air masses from low-latitude oceans, while dry and cold air in winter
air masses invade from high latitudes.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2" specific-use="star"><caption><p id="d1e694">Monthly total precipitation (<inline-formula><mml:math id="M31" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>) and mean temperature (<inline-formula><mml:math id="M32" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula>) at the
Xiaoergou meteorological station (1957–2014) <bold>(a)</bold> and grid
data (1901–2014) <bold>(b)</bold>; the annual total precipitation <bold>(c)</bold>,
the annual mean temperature <bold>(d)</bold> and PDSI <bold>(e)</bold>. The
dashed line indicates the linear fitting values.</p></caption>
          <?xmltex \igopts{width=355.659449pt}?><graphic xlink:href="https://cp.copernicus.org/articles/14/1213/2018/cp-14-1213-2018-f02.png"/>

        </fig>

      <?pagebreak page1215?><p id="d1e733">This study was conducted in high-latitude forests in the Daxing'an Mountains,
northeast China. The forests are dominated by Dahurian larch (<italic>Larix gmelinii </italic>Rupr.) and Scots pine (<italic>Pinus sylvestris </italic>L. var.<italic> mongolica </italic>Litv.). Soils are predominantly brown coniferous and dark-brown
forest peat (Xu, 1998). Meteorological data were collected from stations
nearest our sample sites (Xiaoergou station; Table S1 in the Supplement). The
annual mean temperature ranges from <inline-formula><mml:math id="M33" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2.6 to 2.0 <inline-formula><mml:math id="M34" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C. The coldest
and hottest months are January (<inline-formula><mml:math id="M35" display="inline"><mml:mo lspace="0mm">-</mml:mo></mml:math></inline-formula>39.5 <inline-formula><mml:math id="M36" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C) and July
(32.8 <inline-formula><mml:math id="M37" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C), respectively. Annual precipitation ranges from 289 to
1000 mm (average 500 mm) with high interannual variations. Rain from June
to August accounts for 68 % of total annual precipitation (Fig. 2). The
relative humidity is low except for the growing season. Severe drought occurs
frequently, especially in spring and early summer, and leads to high fire
risk. This region has the highest average annual burned area in China (Sun,
2007).</p>
</sec>
<sec id="Ch1.S2.SS2">
  <title>Tree-ring data</title>
      <p id="d1e793">Tree-ring cores were sampled from four Scots pine-dominated sites that are
rarely disturbed in the central Daxing'an Mountains in May 2011 and 2012.
Each sampled tree was selected to avoid the influence of identifiable stand
disturbances (including animal and human disturbance, windstorm, snow and
fire damage) and any obvious abnormal growth. The distance between sample
sites is more than 100 km (Fig. 1). A total of 120 cores were obtained from
living old trees at breast height (approximately 1.3 m) (Table 1) using a
5.15 mm diameter increment borer (500 mm length, two screws, Haglöf
Sweden, Längsele, Sweden). All cores were dried, mounted, surfaced and
cross-dated following standard techniques of dendrochronology (Cook and
Kairiukstis, 1990; Fritts, 1976). Ring widths were measured with a precision
of 0.001 mm using a Velmex measuring system (Velmex, Inc., Bloomfield, NY,
USA).</p>
      <p id="d1e796">The quality of cross-dating and measurement was evaluated using the COFECHA
program (Holmes, 1983). Two cores with weak correlation to the master
chronology were excluded from further analysis. Successively, the age-related
trends were removed by fitting a cubic smoothing spline with a 50 %
frequency response cut-off at two-thirds of the series length using the ARSTAN
program (Cook and Kairiukstis, 1990). The tree-ring index was calculated as the
ratio of the<?pagebreak page1216?> observed value to the estimated growth curves. Autocorrelation
was removed by autoregressive modeling, and the site chronology was
calculated using a bi-weighted robust mean (Cook and Kairiukstis, 1990).</p>
      <p id="d1e799">Four chronologies have high values of standard deviation, mean sensitivity,
mean series correlation and agreement within population. They reflect high
interannual variation and a strong common signal and are excellent proxies
for regional climate. Since the four chronologies fit well (Table 2), we
merged all samples to develop a single robust regional chronology (Fig. S1 in
the Supplement). Running RBAR (mean correlation between series) and EPS
(expressed population signal) statistics were calculated using a 51-year
interval of the chronology with a 25-year overlap to assess confidence in the
chronology. RBAR averages variance among ring width series in a chronology,
which estimates chronology signal strength (Cook and Kairiukstis, 1990). EPS
estimates the degree to which the chronology represents a hypothetical
chronology based on a finite number of trees that match a hypothetically
perfect chronology; EPS values greater than 0.85 are generally considered
an acceptable threshold for a reliable chronology (Wigley et al., 1984). The
regional chronology spanned the period from 1725 to 2010, and the reliable
interval (<inline-formula><mml:math id="M38" display="inline"><mml:mrow><mml:mi mathvariant="normal">EPS</mml:mi><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">0.85</mml:mn></mml:mrow></mml:math></inline-formula>) was 1751–2010 corresponding to eight trees (Fig. S1).</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T2"><caption><p id="d1e817">Five-chronology correlation matrix over the common period
(1793–2010).</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="5">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">AL</oasis:entry>
         <oasis:entry colname="col3">GH</oasis:entry>
         <oasis:entry colname="col4">JH</oasis:entry>
         <oasis:entry colname="col5">Region</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">KY</oasis:entry>
         <oasis:entry colname="col2">0.38<inline-formula><mml:math id="M43" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>*</mml:mo><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">0.46<inline-formula><mml:math id="M44" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>*</mml:mo><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">0.55<inline-formula><mml:math id="M45" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>*</mml:mo><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">0.81<inline-formula><mml:math id="M46" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>*</mml:mo><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">AL</oasis:entry>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">0.33<inline-formula><mml:math id="M47" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>*</mml:mo><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">0.32<inline-formula><mml:math id="M48" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>*</mml:mo><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">0.68<inline-formula><mml:math id="M49" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>*</mml:mo><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">GH</oasis:entry>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4">0.32<inline-formula><mml:math id="M50" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>*</mml:mo><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">0.72<inline-formula><mml:math id="M51" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>*</mml:mo><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">JH</oasis:entry>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5">0.74<inline-formula><mml:math id="M52" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>*</mml:mo><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p id="d1e820"><inline-formula><mml:math id="M39" display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula> – <inline-formula><mml:math id="M40" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M41" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>*</mml:mo><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula> – <inline-formula><mml:math id="M42" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula>. The site codes are
identical to those in Table 1.</p></table-wrap-foot></table-wrap>

</sec>
<sec id="Ch1.S2.SS3">
  <title>Climate and statistical analyses</title>
      <p id="d1e1088">Climate data were obtained from the National Meteorological Information
Center (<uri>http://data.cma.cn/</uri>, last access: 1 May 2016). The weather station nearest to the sample sites is Xiaoergou
(Table S1 and Fig. 1), about 70–91 km away. Large-scale climate data (e.g.,
El Niño–Southern Oscillation, ENSO, Atlantic Multidecadal Oscillation,
AMO; Pacific Decadal Oscillation, PDO; North Atlantic Oscillation, NAO) and
high-resolution gridded climate data (Table S1; e.g., gridded temperature,
precipitation and drought indices) were downloaded from
<uri>http://climexp.knmi.nl/</uri> (last access: 30 May 2017). Pearson correlation analysis was conducted to estimate
climate–growth relationships. The gridded climate dataset is much longer and
has higher homogeneity and coherency than station data (Fig. 2); the gridded
monthly total precipitation from the Climatic Research Unit (CRU)
Global Precipitation Climatology Centre (GPCC) (Schneider et al., 2015) and mean
temperature (CRU TS3.23; Jones and Harris, 2013) nearest to our sites were
used for climate response analyses. In addition, the nearby gridded monthly
PDSI data from Dai (2011) (Dai-PDSI
hereafter) were used to assess the effects of drought. Correlation analyses
between the regional chronology and monthly climatic records were calculated
from the previous July to the current July.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3" specific-use="star"><caption><p id="d1e1099">Pearson correlation coefficients between tree-ring index of
<italic>Pinus sylvestris </italic>var. <italic>mongolica</italic> and the monthly total
precipitation, mean temperature <bold>(a)</bold> and Dai-PDSI <bold>(b)</bold>.
Significant correlations (<inline-formula><mml:math id="M53" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula>) are indicated by above or below the
95 % confidence line (dashed line). The minus sign (“<inline-formula><mml:math id="M54" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>”) in the abscissa
represents the previous year; for example, “<inline-formula><mml:math id="M55" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>7” represents the previous
July.</p></caption>
          <?xmltex \igopts{width=312.980315pt}?><graphic xlink:href="https://cp.copernicus.org/articles/14/1213/2018/cp-14-1213-2018-f03.png"/>

        </fig>

      <p id="d1e1147">A linear regression model was used to reconstruct the drought variation, and
a traditional split-period calibration and verification method was applied to
examine the model fitness (Fritts, 1976). Statistical parameters included the
<inline-formula><mml:math id="M56" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>, sign test (ST), reduction of error (RE), coefficient of efficiency
(CE), product means test (PMT) and root mean square error (RMSE) (Cook and
Kairiukstis, 1990; Fritts, 1976). Spatial correlation of the measured and
reconstructed drought variables with regional gridded CRU-PDSI (Schrier et
al., 2013) was performed to examine the spatial representativeness of our
reconstruction using the Royal Netherlands Meteorological Institute (KNMI) climate explorer. Local historical drought data
recorded in “Meteorological disasters dictionary of China” (Shen, 2008;
Sun, 2007) were used to verify our PDSI reconstruction.</p>
      <p id="d1e1161">We also carried out the superposed epoch analysis (SEA) between the nearby
forest fire events and the drought series to further validate the accuracy of
our reconstruction because seasonal or annual droughts are usually a key
factor of forest fire severity in the Daxing'an Mountains (Shen, 2008; Sun,
2007). Two regional forest fire chronologies (Mengkeshan and Pangu)
reconstructed by tree-ring scars in nearby forests were used (Yao et al.,
2017). The SEA was carried out using the software package FHAES V2.0.0
(<uri>https://www.frames.gov/partner-sites/fhaes/download-fhaes/</uri>, last
access: 5 March 2016). In addition, the
consistency between our reconstruction and other local drought-related time
series including the gridded Standardized Precipitation-Evapotranspiration
Index (SPEI), Monsoon Asia Drought Atlas (MADA) from Cook et al. (2010)
(Cook-PDSI, hereafter) and self-calibrating PDSI from Schrier et al. (2013)
(scPDSI, hereafter) was detected using Pearson correlation analysis.
We also compared our reconstruction with the nearby
tree-ring-based hydroclimatic reconstructions (the December–March
precipitation reconstruction of the A'li River (AR) in the Daxing'an
Mountains from Lv and Wang (2014), the April–August SPEI reconstruction of
the Hulun Buir (HB) steppe  on the east edge of the Mongolian Plateau in the
western Daxing'an Mountains (Bao et al., 2015) and the tree-ring-based
streamflow reconstruction of the Selenga River (SR) from Davi et al. (2006) in
the Mongolian Plateau, Mongolia) to assess the reliability of reconstruction
by filtering and moving correlations.</p>
      <?pagebreak page1217?><p id="d1e1168">To identify spatiotemporal patterns of drought variation in northeast Asia
and their relationship with our reconstructed drought series, we analyzed the
correlations between our series and other four hydroclimatic reconstruction
series in the Daxing'an Mountains and the Mongolian Plateau (Fig. 1). To
better visualize the comparison, all series described above were standardized
using <inline-formula><mml:math id="M57" display="inline"><mml:mi>Z</mml:mi></mml:math></inline-formula> scores and smoothed with a 21-year moving average to highlight
low-frequency drought signals.</p>
      <p id="d1e1178">To evaluate the extreme dry and wet years in the historical period, we
defined extreme dry and wet years with the annual PDSI value being lower or
higher than average <inline-formula><mml:math id="M58" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.5</mml:mn></mml:mrow></mml:math></inline-formula> standard deviation. We assessed the multi-year
dry–wet periods based on the intensity (average departure values from the
long-term mean) and magnitude (cumulative departure values from the long-term
mean).</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T3" specific-use="star"><caption><p id="d1e1194">Calibration and verification statistics of the PDSI reconstruction.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="9">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="right"/>
     <oasis:colspec colnum="8" colname="col8" align="right"/>
     <oasis:colspec colnum="9" colname="col9" align="right"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Calibration</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M63" display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">Verification</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M64" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">RE</oasis:entry>
         <oasis:entry colname="col6">CE</oasis:entry>
         <oasis:entry colname="col7">ST</oasis:entry>
         <oasis:entry colname="col8">PMT</oasis:entry>
         <oasis:entry colname="col9">RMSE</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">1911–2010</oasis:entry>
         <oasis:entry colname="col2">0.62<inline-formula><mml:math id="M65" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>*</mml:mo><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">–</oasis:entry>
         <oasis:entry colname="col4">–</oasis:entry>
         <oasis:entry colname="col5">0.38</oasis:entry>
         <oasis:entry colname="col6">–</oasis:entry>
         <oasis:entry colname="col7">(74, 26)<inline-formula><mml:math id="M66" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>*</mml:mo><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8">8.04<inline-formula><mml:math id="M67" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>*</mml:mo><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col9">1.4</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">1961–2010</oasis:entry>
         <oasis:entry colname="col2">0.53<inline-formula><mml:math id="M68" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>*</mml:mo><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">1911–1960</oasis:entry>
         <oasis:entry colname="col4">0.47<inline-formula><mml:math id="M69" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>*</mml:mo><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">0.47</oasis:entry>
         <oasis:entry colname="col6">0.47</oasis:entry>
         <oasis:entry colname="col7">(39, 11)<inline-formula><mml:math id="M70" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>*</mml:mo><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8">5.24<inline-formula><mml:math id="M71" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>*</mml:mo><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col9">1.34</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">1911–1960</oasis:entry>
         <oasis:entry colname="col2">0.69<inline-formula><mml:math id="M72" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>*</mml:mo><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">1961–2010</oasis:entry>
         <oasis:entry colname="col4">0.28<inline-formula><mml:math id="M73" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>*</mml:mo><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">0.28</oasis:entry>
         <oasis:entry colname="col6">0.25</oasis:entry>
         <oasis:entry colname="col7">(34, 16)<inline-formula><mml:math id="M74" display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8">6.23<inline-formula><mml:math id="M75" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>*</mml:mo><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col9">1.25</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p id="d1e1197"><inline-formula><mml:math id="M59" display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula> – <inline-formula><mml:math id="M60" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M61" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>*</mml:mo><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula> – <inline-formula><mml:math id="M62" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula>. RE: reduction of error,
CE: coefficient of efficiency, ST: sign test, PMT: product means test, RMSE: root
mean square error.</p></table-wrap-foot></table-wrap>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4" specific-use="star"><caption><p id="d1e1533">The reconstruction PDSI series in the Daxing'an Mountains, northeast
China. <bold>(a)</bold> Comparison of the observed (pink line) and reconstructed
(red line) annual PDSI during the calibration period (1911–2010).
<bold>(b)</bold> The reconstruction series of annual PDSI, plotted annually from
1725 to 2010 (green line), along with a smoothed 11-year moving average (red
bold line); blue-filled triangles indicate a forest fire in nearby area
reconstructed from tree-ring fire scars in Mengkeshan (higher) and Pangu
(lower), northern Daxing'an Mountains.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://cp.copernicus.org/articles/14/1213/2018/cp-14-1213-2018-f04.png"/>

        </fig>

      <p id="d1e1548">A spectral analysis was applied to identify the periodicity of dry–wet
variation and possible effects of large-scale climate using the multi-taper
method (MTM) (Mann and Lees, 1996). To further confirm the linkage between
large-scale climate and regional drought, we analyzed their relationship with
Pearson correlation analysis. Teleconnections between the reconstructed
drought series and the global sea surface temperature (<inline-formula><mml:math id="M76" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.5</mml:mn><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mo>×</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>) were carried out to verify the potential drivers of
large-scale climate, such as ENSO, PDO and AMO, on local drought. To explore
the linkages between the reconstructed Dai-PDSI extreme events and
atmospheric circulation patterns in Asia, the National Centers for Environmental Prediction (NCEP) climate data (Kalnay et
al., 1996) were used to create
January–December composite anomaly maps of the sea surface temperatures (SSTs), the 200 hPa
geopotential height and vector wind in the wettest 10 years and driest
10 years during the period 1948–2010.</p>
</sec>
</sec>
<sec id="Ch1.S3">
  <title>Results</title>
<sec id="Ch1.S3.SS1">
  <title>Tree growth–climate relationships</title>
      <?pagebreak page1218?><p id="d1e1583">The radial growth of Scots pine was significantly (<inline-formula><mml:math id="M77" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula>) positively
correlated with precipitation in all months except the previous November and
current February (Fig. 3a) and temperature from the previous November to
current May (except for the current April) (Fig. 3a). The highest Pearson
correlation coefficients occurred in October precipitation (<inline-formula><mml:math id="M78" display="inline"><mml:mrow><mml:mi>R</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.35</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M79" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula>) and the previous December mean temperature (<inline-formula><mml:math id="M80" display="inline"><mml:mrow><mml:mi>R</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.35</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M81" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula>).
Radial growth of Scots pine in the Daxing'an Mountains was influenced by both
precipitation and temperature simultaneously, but the effects of
precipitation were stronger, revealing the annual precipitation sensitivity
of Scots pine during the last century (Fig. 3a). Furthermore, we calculated
the correlation between the tree-ring index and Dai-PDSI (common period of
1901–2010), which takes into account temperature and precipitation (Dai,
2011). Significant (<inline-formula><mml:math id="M82" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula>) positive correlations between tree rings and
PDSI were found in all months from the previous July to the current July
(Fig. 3b). The correlation between tree growth and annual (January–December)
average PDSI showed the highest correlation coefficient (<inline-formula><mml:math id="M83" display="inline"><mml:mrow><mml:mi>R</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.62</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M84" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.0001</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M85" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">110</mml:mn></mml:mrow></mml:math></inline-formula>) among all seasonal PDSI compositions. The results
confirmed that water availability had a significant limiting influence on
Scots pine growth in the last century (Fig. 3).</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T4" specific-use="star"><caption><p id="d1e1698">Reconstructed extreme dry–wet years and annual PDSI of the Daxing'an
Mountains.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="6">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="left"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="left"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Dry year (rank)</oasis:entry>
         <oasis:entry colname="col2">PDSI</oasis:entry>
         <oasis:entry colname="col3">Dry year (rank)</oasis:entry>
         <oasis:entry colname="col4">PDSI</oasis:entry>
         <oasis:entry colname="col5">Wet year (rank)</oasis:entry>
         <oasis:entry colname="col6">PDSI</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">1784 (1)</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M86" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>3.574</oasis:entry>
         <oasis:entry colname="col3">1909 (16)</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M87" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2.484</oasis:entry>
         <oasis:entry colname="col5">1998 (1)</oasis:entry>
         <oasis:entry colname="col6">2.521</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">1853 (2)</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M88" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>3.315</oasis:entry>
         <oasis:entry colname="col3">1916 (17)</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M89" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2.479</oasis:entry>
         <oasis:entry colname="col5">1952 (2)</oasis:entry>
         <oasis:entry colname="col6">2.091</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">1818 (3)</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M90" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>3.238</oasis:entry>
         <oasis:entry colname="col3">1854 (18)</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M91" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2.405</oasis:entry>
         <oasis:entry colname="col5">1770 (3)</oasis:entry>
         <oasis:entry colname="col6">2.020</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">1862 (4)</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M92" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>3.006</oasis:entry>
         <oasis:entry colname="col3">1865 (19)</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M93" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2.314</oasis:entry>
         <oasis:entry colname="col5">1993 (4)</oasis:entry>
         <oasis:entry colname="col6">2.011</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">1863 (5)</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M94" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>3.001</oasis:entry>
         <oasis:entry colname="col3">1861 (20)</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M95" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2.310</oasis:entry>
         <oasis:entry colname="col5">1766 (5)</oasis:entry>
         <oasis:entry colname="col6">1.790</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">1918 (6)</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M96" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2.991</oasis:entry>
         <oasis:entry colname="col3">1864 (21)</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M97" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2.283</oasis:entry>
         <oasis:entry colname="col5">1897 (6)</oasis:entry>
         <oasis:entry colname="col6">1.728</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">1919 (7)</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M98" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2.977</oasis:entry>
         <oasis:entry colname="col3">1856 (22)</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M99" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2.275</oasis:entry>
         <oasis:entry colname="col5">1996 (7)</oasis:entry>
         <oasis:entry colname="col6">1.663</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">1915 (8)</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M100" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2.882</oasis:entry>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5">1899 (8)</oasis:entry>
         <oasis:entry colname="col6">1.655</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">1917 (9)</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M101" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2.777</oasis:entry>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5">1755 (9)</oasis:entry>
         <oasis:entry colname="col6">1.576</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">1852 (10)</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M102" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2.733</oasis:entry>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5">1999 (10)</oasis:entry>
         <oasis:entry colname="col6">1.548</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">1851 (11)</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M103" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2.716</oasis:entry>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5">2000 (11)</oasis:entry>
         <oasis:entry colname="col6">1.488</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">1860 (12)</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M104" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2.695</oasis:entry>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5">1997 (12)</oasis:entry>
         <oasis:entry colname="col6">1.451</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">1967 (13)</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M105" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2.671</oasis:entry>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5">1994 (13)</oasis:entry>
         <oasis:entry colname="col6">1.422</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">1925 (14)</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M106" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2.660</oasis:entry>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5">1769 (14)</oasis:entry>
         <oasis:entry colname="col6">1.405</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">1911 (15)</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M107" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2.581</oasis:entry>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5">1764 (15)</oasis:entry>
         <oasis:entry colname="col6">1.279</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

</sec>
<sec id="Ch1.S3.SS2">
  <title>PDSI reconstruction</title>
      <p id="d1e2201">The linear model for PDSI reconstruction is

                <disp-formula specific-use="align" content-type="numbered"><mml:math id="M108" display="block"><mml:mtable displaystyle="true"><mml:mlabeledtr id="Ch1.E1"><mml:mtd/><mml:mtd><mml:mstyle class="stylechange" displaystyle="true"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:msub><mml:mi>D</mml:mi><mml:mi>t</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">6.69</mml:mn><mml:msub><mml:mi>I</mml:mi><mml:mi>t</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:mn mathvariant="normal">7.13</mml:mn><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mtr><mml:mtd><mml:mstyle class="stylechange" displaystyle="true"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mo>(</mml:mo><mml:mi>R</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.62</mml:mn><mml:mo>,</mml:mo><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi>N</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">100</mml:mn><mml:mo>,</mml:mo><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi>F</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">60.52</mml:mn><mml:mo>,</mml:mo><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.0001</mml:mn><mml:mo>)</mml:mo><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>

            where <inline-formula><mml:math id="M109" display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mi>t</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the annual PDSI and <inline-formula><mml:math id="M110" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mi>t</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the tree-ring index at year
<inline-formula><mml:math id="M111" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula>. The split calibration–verification test showed that the explained
variances were high during the two calibration periods (1911–1960 and
1961–2010). The statistics of <inline-formula><mml:math id="M112" display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula>, <inline-formula><mml:math id="M113" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>, ST and PMT are all significant at
<inline-formula><mml:math id="M114" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula>, which indicated that the model was reliable (Table 3). The most
rigorous tests, RE and CE, were also positive for both verification periods
(Cook and Kairiukstis, 1990; Fritts, 1976) (Table 3). For the calibration
period (1911–2010), the reconstruction explained 38.2 % of the PDSI
variation (37.6 % after accounting for the loss of degrees of freedom).
These results suggest that the linear model is robust for PDSI
reconstruction.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T5" specific-use="star"><caption><p id="d1e2346">The long-term droughts and pluvial in the central Daxing'an
Mountains during the last 260 years.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="5">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Year</oasis:entry>
         <oasis:entry colname="col2">Dry–wet</oasis:entry>
         <oasis:entry colname="col3">Duration (year)</oasis:entry>
         <oasis:entry colname="col4">Magnitude (sum of PDSI)</oasis:entry>
         <oasis:entry colname="col5">Intensity (mean PDSI)</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">1751–1752</oasis:entry>
         <oasis:entry colname="col2">Dry</oasis:entry>
         <oasis:entry colname="col3">2</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M115" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2.36</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M116" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1.33</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">1757–1771</oasis:entry>
         <oasis:entry colname="col2">Wet</oasis:entry>
         <oasis:entry colname="col3">15</oasis:entry>
         <oasis:entry colname="col4">19.52</oasis:entry>
         <oasis:entry colname="col5">1.30</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">1812–1817</oasis:entry>
         <oasis:entry colname="col2">Dry</oasis:entry>
         <oasis:entry colname="col3">6</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M117" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>3.73</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M118" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.62</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">1847–1866</oasis:entry>
         <oasis:entry colname="col2">Dry</oasis:entry>
         <oasis:entry colname="col3">20</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M119" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>32.70</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M120" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1.64</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">1881–1902</oasis:entry>
         <oasis:entry colname="col2">Wet</oasis:entry>
         <oasis:entry colname="col3">22</oasis:entry>
         <oasis:entry colname="col4">18.98</oasis:entry>
         <oasis:entry colname="col5">0.86</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">1906–1927</oasis:entry>
         <oasis:entry colname="col2">Dry</oasis:entry>
         <oasis:entry colname="col3">20</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M121" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>31.79</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M122" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1.59</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">1952–1955</oasis:entry>
         <oasis:entry colname="col2">Wet</oasis:entry>
         <oasis:entry colname="col3">4</oasis:entry>
         <oasis:entry colname="col4">2.78</oasis:entry>
         <oasis:entry colname="col5">0.69</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">1989–2004</oasis:entry>
         <oasis:entry colname="col2">Wet</oasis:entry>
         <oasis:entry colname="col3">16</oasis:entry>
         <oasis:entry colname="col4">19.67</oasis:entry>
         <oasis:entry colname="col5">1.23</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5" specific-use="star"><caption><p id="d1e2584">Spatial correlation fields between <bold>(a)</bold> the instrumental and
<bold>(b)</bold> reconstructed annual Dai-PDSI for the Daxing'an Mountains and
the regional Dai-PDSI during the period 1911–2010
(<uri>http://climexp.knmi.nl/</uri>, last access: 30 May 2017). The blue circle is the reconstructed PDSI grid.</p></caption>
          <?xmltex \igopts{width=369.885827pt}?><graphic xlink:href="https://cp.copernicus.org/articles/14/1213/2018/cp-14-1213-2018-f05.png"/>

        </fig>

      <p id="d1e2603">The instrumental and reconstructed PDSIs of the central Daxing'an Mountains have
similar trends and are parallel to each other during the calibration period
(Fig. 4). However, the reconstructed PDSI did not capture the magnitude of
extreme dry or wet conditions. Spatial correlation analysis showed that the
instrumental and reconstructed PDSIs had a strong and similar spatial
correlation pattern with the northeast Asia gridded Dai-PDSI (Fig. 5).</p>
</sec>
<sec id="Ch1.S3.SS3">
  <title>Historical PDSI variability</title>
      <p id="d1e2612">The reconstructed annual PDSI with an 11-year moving average exhibited a mean
of 0.48 and a standard deviation (SD) of <inline-formula><mml:math id="M123" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.15</mml:mn></mml:mrow></mml:math></inline-formula> during the past 260 years
(Fig. 4b). Reconstruction of the annual PDSI displayed strong interannual- to
decadal-scale variability throughout the period 1751–2010. During the last
260 years, there were 22 extreme dry years<?pagebreak page1219?> (accounting for 8.5 %) and 15
extreme wet years (5.8 %) (Table 4). Most extreme dry years occurred in
the 19th (12 years, accounting for 48 %) and 20th centuries (9 years, accounting
for 36 %), and most extreme wet years occurred in the 20th
century (9 years, accounting for 60 %). Among the extreme years, 1784,
1853, 1818, 1862 and 1863 were the five driest years, and 1998, 1952, 1770,
1993 and 1766 were the five wettest years (Table 4). We also found that many
extreme dry or wet years occurred in succession, for example, 1862 and 1863.</p>
      <p id="d1e2625">Compared with the severe single-year droughts, multi-year droughts had a
greater effect on tree growth, and we defined the dry and wet periods as
those when the 11-year moving average PDSI was more than 0.5 SD from the
mean for at least 2 consecutive years. Four dry periods, 1751–1752,
1812–1817, 1847–1866 and 1908–1927, and four wet periods 1757–1771,
1881–1902, 1952–1955 and 1989–2004 were identified (Table 5). The dry
periods of 1847–1866 and 1906–1927 were the longest, spanning 20 years,
while the longest wet period, from 1881–1902, lasted for 22 years (Table 5).
The multi-year drought in 1847–1866 was the most serious due to the long
duration and intensity, and the period 1906–1927 was the second most
significant drought (Table 5). Wet periods in 1757–1771 and 1989–2004 were
the most remarkable in terms of their intensity and duration (Table 5).</p>
      <p id="d1e2628">Spectral analysis revealed that the historical PDSI variation in the
Daxing'an Mountains showed several significant (95 % or 99 %
confidence level) periodicities at 46.5–78.7 (99 %), 12, 5–6
(99 %) and 2–3 (99 %) years, which corresponded to significant
cycle peaks presented in Fig. 6.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6"><caption><p id="d1e2633">Multi-taper method power spectrum of the reconstructed PDSI during
the period 1751–2010. The 95 % and 99 % confidence levels relative to
red noise are shown and the numbers refer to the significant period in
years.</p></caption>
          <?xmltex \igopts{width=227.622047pt}?><graphic xlink:href="https://cp.copernicus.org/articles/14/1213/2018/cp-14-1213-2018-f06.png"/>

        </fig>

</sec>
</sec>
<sec id="Ch1.S4">
  <title>Discussion</title>
<sec id="Ch1.S4.SS1">
  <title>Climate–growth relationship</title>
      <p id="d1e2654">Scots pine is an drought-tolerant species and drought stress is thought to be
the main climate factor limiting its radial growth in semi-arid or semi-humid
regions, such as in the Mongolian Plateau and western Daxing'an Mountains
(Bao et al., 2015; Davi et al., 2006; Liu et al., 2009; Pederson et al.,
2013). Previous dendroclimatic studies from these regions suggest that radial
growth of Scots pine is sensitive to humidity, precipitation or drought
(e.g., PDSI, SPEI), and most analyses have reconstructed hydroclimatic history (Bao
et al., 2015; Liu et al., 2009). In these areas, the radial growth of<?pagebreak page1220?> Scots
pine usually has a typical climate (drought) response pattern with positive
tree growth response to increasing precipitation and a negative response to
increasing temperature (Bao et al., 2015; Davi et al., 2006; Liu et al.,
2009). This typical drought response pattern is usually found in other
drought or wetness tree-ring reconstructions (Li et al., 2016; Liu et al.,
2017). In this study, the correlation between tree-ring index and monthly
precipitation and temperature revealed that the radial growth of Scots pine
was mainly limited by water, which is consistent with the physiological
characteristics of tree species living in semi-arid regions. A significant
positive relationship between the tree-ring index and PDSI in all months
supported moisture as the main limiting factor of Scots pine radial growth
(Fig. 3b).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F7" specific-use="star"><caption><p id="d1e2659">Comparisons of <bold>(a)</bold> the drought reconstruction derived from
the Monsoon Asia Drought Atlas (MADA; Cook et al., 2010), <bold>(b)</bold> the
winter precipitation reconstruction of the A'li River in northeastern China
(AR; Lv and Wang, 2014), <bold>(c)</bold> the mean annual PDSI reconstruction in
the Daxing'an Mountains (TS; in this study), <bold>(d)</bold> the April–August
SPEI reconstruction of the Hulun Buir steppe in eastern Mongolian Plateau
(HB; Bao et al., 2015) and <bold>(e)</bold> the April–October streamflow
reconstruction of the Selenga River in northeastern Mongolia (SR; Davi et al.,
2006). All above series were standardized using <inline-formula><mml:math id="M124" display="inline"><mml:mi>Z</mml:mi></mml:math></inline-formula> scores (high frequency)
and then smoothed with a 21-year moving average (low frequency; red bold
line). Blue and red shade areas represent a consistent period of drought and
wetness, respectively. Correlation coefficients between our reconstruction
series and other series in low (<inline-formula><mml:math id="M125" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">L</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) and high (<inline-formula><mml:math id="M126" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">H</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>)
frequency are shown on the diagram. <inline-formula><mml:math id="M127" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>*</mml:mo><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula> <inline-formula><mml:math id="M128" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula>.</p></caption>
          <?xmltex \igopts{width=369.885827pt}?><graphic xlink:href="https://cp.copernicus.org/articles/14/1213/2018/cp-14-1213-2018-f07.png"/>

        </fig>

      <p id="d1e2737">The drought response was also found in Dahurian larch (Wang and Lv, 2012),
another important conifer tree species in the study area. However, the
typical drought response to temperature was not obvious, and the radial
growth of Scots pine was not significantly negatively correlated with the growing
season (July–September) temperature (Fig. 3a). On the contrary, a
significant positive response of radial growth to the non-growing season
temperature was found. It is possible that higher winter temperatures could
protect dormant buds from frost damage (Chen et al., 2012). The positive
correlation with spring temperature could be due to earlier and larger snow
melting, which supplies the spring soil water, and eventually stimulates tree
growth (Hollesen et al., 2015; Zhu et al., 2017). This unusual drought
response pattern might be due to the relatively humid climate and the
northern latitude of our study sites, where the positive effect of
temperature was greater than the negative effect resulting from drought
stress (Wang and Song, 2011). Similar drought response patterns were also
found in tree-ring-based drought reconstructions in the middle Qilian
Mountains (Sun and Liu, 2013) and the Tian Shan Mountains of western China
(Chen et al., 2015).</p>
</sec>
<sec id="Ch1.S4.SS2">
  <title>Comparison with regional records</title>
      <p id="d1e2746">We used the local historical document records to verify our PDSI
reconstruction for the timing of extreme dry years or periods. During the
last 260 years, 60.1 % (<inline-formula><mml:math id="M129" display="inline"><mml:mrow><mml:mn mathvariant="normal">13</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">22</mml:mn></mml:mrow></mml:math></inline-formula>) of extreme dry years were noted in
historical documents (Shen, 2008; Sun, 2007). Tree rings cannot fully record
the continuous drought events (years) resulting in a limited percentage or
correspondence. For example, only 1861 was recorded in our reconstruction
during the extreme drought period (1860–1865). Thus, some severe drought
events affect radial tree growth in some but not all years (Fritts, 1976). In
addition, the lag response of radial growth to climate (drought) might have a
great contribution to unrecorded extreme drought events (Fritts, 1976). For
example, the local historical documents recorded the dry years of 1817 and
1855 that showed narrower rings or as an extreme dry event in the following
year. Two multi-year droughts recorded in tree rings, 1847–1866 and
1908–1927, can both be identified in historical documents (Shen, 2008; Sun,
2007). Moreover, the SEA between our reconstructed drought series and forest
wildfire history revealed that a significant drop of PDSI values<?pagebreak page1221?> occurred
during the year of the forest fire in Mengkeshan and Pangu (Fig. S2 in the
Supplement), further validating the accuracy of our reconstruction.</p>
      <p id="d1e2761">Spatial correlation analysis indicated a strong pattern between our
reconstruction and gridded scPDSI in northeast Asia (Fig. 7), and our
reconstruction also represented drought/wet variations in surrounding
geographic regions. During the common periods, our reconstruction shared a
similar dry–wet fluctuation with precipitation of the A'li River (Wang and
Lv, 2012) and SPEI of the Hulun Buir steppe (Bao et al., 2015) both in the low
and high frequency (Fig. 7b–d). Significant (<inline-formula><mml:math id="M130" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula>) correlations among
them were found in low and high frequency and some common dry–wet periods,
highlighted in Fig. 7, which confirmed that our drought reconstruction could
account for the most dry–wet variations in the Daxing'an Mountains.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F8" specific-use="star"><caption><p id="d1e2778">Comparisons of the drought reconstruction and other large-scale
climate oscillations. <bold>(a)</bold> The dry–wet changes in the Daxing'an
Mountains (DM, the average of our reconstruction and the precipitation
reconstruction of the A'li River), the Mongolian Plateau (MP, the streamflow
reconstruction of the Selenga River) as well as their transition zones (TZ,
the SPEI reconstruction of the Hulun Buir steppe); <bold>(b)</bold> the drought
reconstruction in the Daxing'an Mountains (DM), the Pacific Decadal
Oscillation (PDO) and the Niño3 index reconstruction from Mann et
al. (2009) (Niño3) as well as the total solar irradiance (TSI) reconstruction from
IPCC AR5; <bold>(c)</bold> the drought reconstruction in the Daxing'an
Mountains (DM), the Atlantic Multidecadal Oscillation (AMO) reconstruction from
Mann et al. (2009), the multi-decadal winter North Atlantic Oscillation (NAO)
reconstruction by Trouet et al. (2009) and the summer NAO based on the
20C reanalysis sea-level pressure reconstruction (SNAO). All above series
were standardized using <inline-formula><mml:math id="M131" display="inline"><mml:mi>Z</mml:mi></mml:math></inline-formula> scores and then smoothed with a 21-year moving
average to highlight low-frequency drought signals. Significant correlation
coefficients (<inline-formula><mml:math id="M132" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>*</mml:mo><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula> <inline-formula><mml:math id="M133" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula>) are listed in the figure.</p></caption>
          <?xmltex \igopts{width=369.885827pt}?><graphic xlink:href="https://cp.copernicus.org/articles/14/1213/2018/cp-14-1213-2018-f08.png"/>

        </fig>

      <p id="d1e2828">It is important to note that our drought reconstruction and the MADA by Cook
et al. (2010) from the same PDSI grid showed a complete opposite trend
(<inline-formula><mml:math id="M134" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">L</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.19</mml:mn></mml:mrow></mml:math></inline-formula>; <inline-formula><mml:math id="M135" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mo>&lt;</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula>) in low frequency (Fig. 7). Negative
correlations between the MADA and the SPEI (<inline-formula><mml:math id="M136" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">L</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.31</mml:mn></mml:mrow></mml:math></inline-formula>; <inline-formula><mml:math id="M137" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.03</mml:mn></mml:mrow></mml:math></inline-formula>) and scPDSI (<inline-formula><mml:math id="M138" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">L</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.126</mml:mn></mml:mrow></mml:math></inline-formula>; <inline-formula><mml:math id="M139" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.236</mml:mn></mml:mrow></mml:math></inline-formula>), positive
correlations between our drought reconstruction and the SPEI (<inline-formula><mml:math id="M140" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">L</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.95</mml:mn></mml:mrow></mml:math></inline-formula>; <inline-formula><mml:math id="M141" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula>) and scPDSI (<inline-formula><mml:math id="M142" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">L</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.807</mml:mn></mml:mrow></mml:math></inline-formula>; <inline-formula><mml:math id="M143" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula>) were also
found, although it had a seasonal difference with our drought reconstruction.
These imply that the MADA by Cook et al. (2010) might be inaccurate or even
reversed in the timing of dry–wet variations in the Daxing'an<?pagebreak page1222?> Mountains.
Similar divergence of tree-ring-based drought reconstruction between the MADA
and individual sampling sites was also found by Li et al. (2015) from Guancen
Mountain and Liu et al. (2017) from central Inner Mongolia. The insufficient
spatiotemporal distribution of tree-ring networks, especially in eastern
China, used in MADA might be the main reason for this divergence/inaccuracy
(Cook et al., 2010; Li et al., 2015; Liu et al., 2017). Therefore, our
drought reconstruction is necessary to improve our understanding of the east
Asian monsoon climate variability.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T6" specific-use="star"><caption><p id="d1e2979">Correlation coefficients between the large-scale climate indices (AMO,
PDO, NAO, SNAO, TSI and Niño3) and the local annual mean temperature,
total precipitation and instrumental Dai-PDSI, as well as the <inline-formula><mml:math id="M144" display="inline"><mml:mi>Z</mml:mi></mml:math></inline-formula> score of
dry–wet variation in the Daxing'an Mountains (DM<inline-formula><mml:math id="M145" display="inline"><mml:msub><mml:mi/><mml:mrow><mml:mi>Z</mml:mi><mml:mtext>score</mml:mtext></mml:mrow></mml:msub></mml:math></inline-formula>).</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="13">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right" colsep="1"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="right" colsep="1"/>
     <oasis:colspec colnum="8" colname="col8" align="right"/>
     <oasis:colspec colnum="9" colname="col9" align="right"/>
     <oasis:colspec colnum="10" colname="col10" align="right" colsep="1"/>
     <oasis:colspec colnum="11" colname="col11" align="right"/>
     <oasis:colspec colnum="12" colname="col12" align="right"/>
     <oasis:colspec colnum="13" colname="col13" align="right"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry rowsep="1" namest="col2" nameend="col4" align="center" colsep="1">Temperature </oasis:entry>
         <oasis:entry rowsep="1" namest="col5" nameend="col7" align="center" colsep="1">Precipitation </oasis:entry>
         <oasis:entry rowsep="1" namest="col8" nameend="col10" align="center" colsep="1">Dai-PDSI </oasis:entry>
         <oasis:entry rowsep="1" namest="col11" nameend="col13" align="center">DM<inline-formula><mml:math id="M150" display="inline"><mml:msub><mml:mi/><mml:mrow><mml:mi>Z</mml:mi><mml:mtext>score</mml:mtext></mml:mrow></mml:msub></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M151" display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M152" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M153" display="inline"><mml:mi>N</mml:mi></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M154" display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M155" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M156" display="inline"><mml:mi>N</mml:mi></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M157" display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col9"><inline-formula><mml:math id="M158" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col10"><inline-formula><mml:math id="M159" display="inline"><mml:mi>N</mml:mi></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col11"><inline-formula><mml:math id="M160" display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col12"><inline-formula><mml:math id="M161" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col13"><inline-formula><mml:math id="M162" display="inline"><mml:mi>N</mml:mi></mml:math></inline-formula></oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">AMO</oasis:entry>
         <oasis:entry colname="col2">0.44<inline-formula><mml:math id="M163" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>*</mml:mo><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">0.00</oasis:entry>
         <oasis:entry colname="col4">106</oasis:entry>
         <oasis:entry colname="col5">0.30<inline-formula><mml:math id="M164" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>*</mml:mo><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6">0.00</oasis:entry>
         <oasis:entry colname="col7">106</oasis:entry>
         <oasis:entry colname="col8">0.44<inline-formula><mml:math id="M165" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>*</mml:mo><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col9">0.00</oasis:entry>
         <oasis:entry colname="col10">96</oasis:entry>
         <oasis:entry colname="col11">0.35<inline-formula><mml:math id="M166" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>*</mml:mo><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col12">0.00</oasis:entry>
         <oasis:entry colname="col13">282</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">PDO</oasis:entry>
         <oasis:entry colname="col2">0.46<inline-formula><mml:math id="M167" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>*</mml:mo><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">0.00</oasis:entry>
         <oasis:entry colname="col4">106</oasis:entry>
         <oasis:entry colname="col5">0.39<inline-formula><mml:math id="M168" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>*</mml:mo><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6">0.00</oasis:entry>
         <oasis:entry colname="col7">106</oasis:entry>
         <oasis:entry colname="col8">0.51<inline-formula><mml:math id="M169" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>*</mml:mo><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col9">0.00</oasis:entry>
         <oasis:entry colname="col10">96</oasis:entry>
         <oasis:entry colname="col11">0.34<inline-formula><mml:math id="M170" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>*</mml:mo><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col12">0.00</oasis:entry>
         <oasis:entry colname="col13">282</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">NAO</oasis:entry>
         <oasis:entry colname="col2">0.17</oasis:entry>
         <oasis:entry colname="col3">0.08</oasis:entry>
         <oasis:entry colname="col4">106</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M171" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.04</oasis:entry>
         <oasis:entry colname="col6">0.71</oasis:entry>
         <oasis:entry colname="col7">106</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M172" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.08</oasis:entry>
         <oasis:entry colname="col9">0.43</oasis:entry>
         <oasis:entry colname="col10">96</oasis:entry>
         <oasis:entry colname="col11"><inline-formula><mml:math id="M173" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.21<inline-formula><mml:math id="M174" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>*</mml:mo><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col12">0.00</oasis:entry>
         <oasis:entry colname="col13">282</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">SNAO</oasis:entry>
         <oasis:entry colname="col2">0.22<inline-formula><mml:math id="M175" display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">0.02</oasis:entry>
         <oasis:entry colname="col4">110</oasis:entry>
         <oasis:entry colname="col5">0.08</oasis:entry>
         <oasis:entry colname="col6">0.39</oasis:entry>
         <oasis:entry colname="col7">110</oasis:entry>
         <oasis:entry colname="col8">0.08</oasis:entry>
         <oasis:entry colname="col9">0.42</oasis:entry>
         <oasis:entry colname="col10">100</oasis:entry>
         <oasis:entry colname="col11">0.13<inline-formula><mml:math id="M176" display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col12">0.05</oasis:entry>
         <oasis:entry colname="col13">246</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">TSI</oasis:entry>
         <oasis:entry colname="col2">0.23<inline-formula><mml:math id="M177" display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">0.01</oasis:entry>
         <oasis:entry colname="col4">110</oasis:entry>
         <oasis:entry colname="col5">0.35<inline-formula><mml:math id="M178" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>*</mml:mo><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6">0.00</oasis:entry>
         <oasis:entry colname="col7">110</oasis:entry>
         <oasis:entry colname="col8">0.34<inline-formula><mml:math id="M179" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>*</mml:mo><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col9">0.00</oasis:entry>
         <oasis:entry colname="col10">100</oasis:entry>
         <oasis:entry colname="col11">0.12<inline-formula><mml:math id="M180" display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col12">0.04</oasis:entry>
         <oasis:entry colname="col13">286</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Niño3</oasis:entry>
         <oasis:entry colname="col2">0.34<inline-formula><mml:math id="M181" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>*</mml:mo><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">0.00</oasis:entry>
         <oasis:entry colname="col4">106</oasis:entry>
         <oasis:entry colname="col5">0.26<inline-formula><mml:math id="M182" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>*</mml:mo><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6">0.01</oasis:entry>
         <oasis:entry colname="col7">106</oasis:entry>
         <oasis:entry colname="col8">0.28<inline-formula><mml:math id="M183" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>*</mml:mo><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col9">0.01</oasis:entry>
         <oasis:entry colname="col10">96</oasis:entry>
         <oasis:entry colname="col11">0.14<inline-formula><mml:math id="M184" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>*</mml:mo><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col12">0.02</oasis:entry>
         <oasis:entry colname="col13">282</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p id="d1e3001">Note: AMO, PDO, NAO, SNAO, TSI and Niño3 indicate the Atlantic
Multidecadal Oscillation reconstruction from Mann et al. (2009), the Pacific
Decadal Oscillation reconstruction from Mann et al. (2009), the multi-decadal
winter North Atlantic Oscillation reconstruction from Trouet et al. (2009),
the summer NAO based on the 20C reanalysis sea-level pressure reconstruction
(SNAO), the total solar irradiance reconstruction from IPCC AR5 and the
Niño3 reconstruction from Mann et al. (2009), respectively. All the above
data were downloaded from <uri>http://climexp.knmi.nl/</uri> (last access:
30 May 2017). <inline-formula><mml:math id="M146" display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula> <inline-formula><mml:math id="M147" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M148" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>*</mml:mo><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula> <inline-formula><mml:math id="M149" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula>.</p></table-wrap-foot></table-wrap>

      <p id="d1e3702">On a larger spatial scale, the streamflow reconstruction of Selenga River in
the west-central Mongolian Plateau from Davi et al. (2006) presented a
significant positive correlation with our drought reconstruction in low
frequency (<inline-formula><mml:math id="M185" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">L</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.29</mml:mn></mml:mrow></mml:math></inline-formula>; <inline-formula><mml:math id="M186" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula>) during the full periods. Our
reconstructed PDSI also displayed some common variation trends for dry–wet
periods with the reconstructed streamflow variations from the Selenga River
(Davi et al., 2006), especially at the decadal scale. These relationships
suggest that there are common drivers affecting dry–wet variations of the
Daxing'an Mountains and the west-central Mongolian Plateau, although there
might be some discordance. Among those differences, the most obvious one is
the completely different dry–wet variation trends among the Daxing'an
Mountains (wetter), the west-central Mongolian Plateau (mild drier) as well
as their transition zones, the east Mongolian Plateau (Hulun Buir steppe;
drier) since the late 1970s (Fig. 8a). Similar results were also found by
Dai  (2013), which presented a different dry–wet pattern under global warming
using observations and models. In the Tibetan Plateau, Li et al. (2016) found
moisture increases related to rapid warming (warm–wet). Although the reason
for this divergence should be further studied, it might be related to the
different response to the phase shift (negative to positive) of the PDO in
1976 and 1977 (Ma, 2007; Wang et al., 2014). Ma (2007) found that the
positive PDO phase usually corresponds to the drought period with warming and
less precipitation, while the negative PDO phase often matches the wet period
with low temperature and more precipitation. Simultaneously, the drought
trend caused by the persistent significant warming in semi-arid or semi-humid
regions might be more serious than in humid regions (Dai, 2013). In addition,
a different record of<?pagebreak page1223?> severe drought that occurred over a large geographic
area in northern Asia during the 1920s–1930s, has been reported by
many other studies in north China (Bao et al., 2015; Chen et al., 2015; Liang
et al., 2006; Liu et al., 2009). As indicated by the tree-ring series, the
drought event during the 1920s–1930s in the Daxing'an Mountains was
more severe than on the east Mongolian Plateau (the Hulun Buir steppe),
which was consistent with the result by Dong et al. (2013). The drought,
however, was not found in the west-central Mongolian Plateau (the Selenga
River). On the contrary, it was very wet at that time (Fig. 8). Different
spatial patterns of severe drought over northeast Asia might be associated
with the intensity and scope of the strong ENSO during this period (Dong et
al., 2013).</p>
</sec>
<sec id="Ch1.S4.SS3">
  <title>Linkages to the Pacific and Atlantic oceans</title>
      <p id="d1e3738">Spectral analysis revealed that several significant cycles existed in our
drought series (Fig. 6). The significant high-frequency 2.0- to 5.8-year
periodicities were within the 2- to 7-year cycles of ENSO (Li et al., 2013), so
the drought variations in the Daxing'an Mountains might be related to ENSO.
Similarly, the local dry–wet changes related to ENSO have been confirmed by
other tree-ring-based hydroclimatic reconstructions in northeast China (Bao
et al., 2015; Lv and Wang, 2014; Wang and Lv, 2012), northwest China (Chen et
al., 2015; Sun and Liu, 2013) and the Mongolian Plateau (Davi et al., 2006).
A strong connection appears between our reconstruction and annual SSTs over
the Pacific Ocean, especially near the Equator, the north Pacific, as well
as the east and west coasts of the Pacific Ocean (Fig. S3). The significant
positive correlation between the Niño3 index and the dry–wet index in
both low and high frequencies (Table 6, Fig. 8b) also confirmed the
potential links between ENSO and the dry–wet variations in the Daxing'an
Mountains. Although the mechanisms need to be further studied, the close
relationship between the oscillatory changes of North Atlantic SST and the
Asian monsoon have been demonstrated (Zuo et al., 2013). ENSO might
indirectly influence dry–wet changes in the Daxing'an Mountains by affecting
the local climate (Shuai et al., 2016). Wang et al. (2013) found that the
ENSO could potentially drive or affect the Asian monsoon, which in turn
affects temperature and precipitation to drive local drought variations, as a
possible driving mechanism (Fig. 9). Significant positive correlations
between the Niño3 index and local climate (temperature and
precipitation) further confirm our inference (Table 6).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F9"><caption><p id="d1e3743">Spatial correlations between the annual east Asian monsoon index and
the local <bold>(a)</bold> temperature, <bold>(b)</bold> precipitation and
<bold>(c)</bold> scPDSI from 1948 to 2010.</p></caption>
          <?xmltex \igopts{width=227.622047pt}?><graphic xlink:href="https://cp.copernicus.org/articles/14/1213/2018/cp-14-1213-2018-f09.png"/>

        </fig>

      <p id="d1e3761">The 12-year cycle indicated that dry–wet changes in the Daxing'an Mountains
might be influenced by solar activity (Shindell et al., 1999). Several
previous studies have demonstrated that solar activity can influence the
local dry–wet variations (Chen et al., 2015; Hodell et al., 2001; Sun and
Liu, 2013). In northeastern China, Hong et al. (2001) also found the signals
of solar activity in a 6000-year record of drought and precipitation.
Significant positive correlations between the total solar irradiance (TSI;
reconstruction from IPCC AR5) and the dry–wet index in the Daxing'an
Mountains in low and high frequencies, and between the TSI and the local
climate (temperature and precipitation), further confirmed a possible
relationship between solar activity and local drought (Table 6, Fig. 8b).
Wang et al. (2005) found a potential link between the Asian monsoon and solar
changes. Dry–wet changes in the Daxing'an Mountains might be driven by the
Asian monsoon which is influenced by solar activities (Fig. 9).</p>
      <p id="d1e3764">Cycles of 46.5–48.8 years might be related to the PDO since it coincided
with the 50- to 70-year cycle of PDO (Macdonald and Case, 2005). This was
verified by the strong connection between our drought reconstruction and
annual SSTs over the Pacific Ocean (Fig. S3). The cycles/signals of PDO
widely exist in most tree-ring-based drought reconstructions (Bao et al.,
2015; Chen et al., 2015; Sun and Liu, 2013; Wang and Lv, 2012), and many
studies have confirmed that PDO<?pagebreak page1224?> can influence drought conditions in China
(Bao et al., 2015; Cook et al., 2010; Ma, 2007). The potential linkages
between the PDO and local drought in the Daxing'an Mountains is further
confirmed by the significant positive correlations between the PDO index
(Mann and Lees, 1996) and the dry–wet index in low and high frequencies
(Table 6, Fig. 8b). The positive/warm phase of PDO usually corresponds to the
dry period, while the negative/cold phase corresponds to the wet period
(Ma, 2007). For example, the severe drought in the 1920s–1930s corresponds to
the PDO negative phase. Significant positive correlations between the PDO
index and local climate (Fig. 9) suggest that the PDO might affect the
dry–wet changes in the Daxing'an Mountains by regulating the intensity or
location of the Asian monsoon (Bao et al., 2015; Cook et al., 2010; Ma,
2007). Similar results were found in a nearby tree-ring-based drought
reconstruction (Bao et al., 2015).</p>

      <?xmltex \floatpos{p}?><fig id="Ch1.F10" specific-use="star"><caption><p id="d1e3770">Composite anomaly maps of the 200 hPa vector wind and geopotential
height, and the SSTs (from January to December) for the 10
wettest <bold>(a, b, e)</bold> and 10 driest <bold>(c, d, f)</bold> years of the
Dai-PDSI reconstruction during the period 1948–2010.</p></caption>
          <?xmltex \igopts{width=469.470472pt}?><graphic xlink:href="https://cp.copernicus.org/articles/14/1213/2018/cp-14-1213-2018-f10.png"/>

        </fig>

      <p id="d1e3785">The 73-year drought cycle might be derived from oscillatory changes in the
North Atlantic SST (Knudsen et al., 2011).
Spatial correlations between our drought series and annual SSTs also show a
strong teleconnection across the Atlantic Ocean (Fig. S3), which further
confirmed potential linkages between the North Atlantic SSTs and dry–wet
changes in the Daxing'an Mountains. Although our research area is far from
the Atlantic, some studies have confirmed that large-scale climate
oscillations in the Atlantic Ocean (such as the Atlantic Multidecadal
Oscillation (AMO) and North Atlantic Oscillation (NAO), as well as summer NAO
(SNAO)) could affect local climate and tree growth in China (Bates, 2007;
Linderholm et al., 2011, 2013; Sun et al., 2008; Wang et al., 2011). Most
tree-ring drought reconstructions also found the signals of oscillatory
changes correlated with the North Atlantic SSTs (e.g., AMO, NAO and SNAO),
such as in the Daxing'an Mountains (Lv and Wang, 2014; Wang and Lv, 2012),
eastern Mongolian Plateau (Bao et al., 2015; Liu et al., 2009), west-central
Mongolia (Davi et al., 2006) and northwest China (Chen et al., 2015; Sun and
Liu, 2013). Furthermore, we also identified a significant negative–positive
correlation between the dry–wet change in the Daxing'an Mountains and the
AMO, NAO and SNAO index both in low and high frequency (Table 6, Fig. 8c). The
strong AMO signal (Wang et al., 2011) and teleconnections with SNAO
(Linderholm et al., 2013) also have been found in tree-ring widths of Scots
pine in northeast China and east-central Siberia during the last 400 years.
These studies all confirmed that oscillatory changes in the North Atlantic
SST (e.g., AMO, NAO and SNAO) could drive dry–wet changes in the Daxing'an
Mountains. Although its mechanism needs to be further studied, the close
relationship between the oscillatory changes in the North Atlantic SST and
the Asian monsoon has been demonstrated. Recent studies have shown that the
AMO (Wang et al., 2013), NAO (Feng and Hu, 2008) and SNAO (Linderholm et al.,
2011) all could drive or affect the Asian monsoon. In this study, although
only the AMO index was significantly correlated with local climate (Table 6,
Fig. 8c), it also confirmed that the oscillatory changes in the North
Atlantic SST, especially the AMO, could drive wet–dry changes in the
Daxing'an Mountains by influencing the Asian monsoon (Bao et al, 2015; Chen et
al., 2015; Cook et al., 2010; Li et al., 2015; Linderholm et al., 2011; Sun
et al., 2008).</p>
      <p id="d1e3788">Previous studies have found that drought variation in northeast Asia may be
associated with Asian monsoon activity (Bao et al., 2015; Chen et al., 2015;
Cook et al., 2010; Li et al., 2015; Linderholm et al., 2011; Sun et al.,
2008). In wet years, the strengthened southerlies and easterlies entered
inland China associated with a positive pattern over northeast Asia and some
negative height-anomaly centers in west Russia and south Asia as well as the
Indian and north Pacific oceans, which strengthened the westerly circulation
(Fig. 10a, c). In dry years, however, strengthened southerlies and
southwesterlies entered northeast China associated with a positive pattern
over east Asia and western Russia, and some negative height-anomaly centers
in southern Russia and south Asia as well as the Indian and south Pacific
oceans (Fig. 10a, c).</p>
      <?pagebreak page1226?><p id="d1e3791">The composite of 200 hPa geopotential height of the most humid 10 years
(positive anomaly) in the central-north Daxing'an Mountains is opposite to
that of the most arid 10 years (negative anomaly) (Fig. 10c, d). Positive and
negative SST anomalies were also found in the western and northern Pacific
Ocean during the wettest and driest years (Fig. 10e, f). In the wet years,
abundant moisture is transported from the Pacific Ocean through Mongolian
Plateau to the Daxing'an Mountains via the strong east Asian monsoon's
southeasterly moisture flux joined with a strong westerly circulation
(Fig. 10a). This negative anomaly combined with positive SST in the western
and northern Pacific Ocean led to an enhanced dry jet (southwesterlies)
across/toward the Daxing'an Mountains (Fig. 10b, c, e). Several studies have
reported that the dry and wet variations in northeast Asia are strongly
linked with the Asian monsoon and SSTs in the Pacific and Atlantic oceans
(Bao et al., 2015; Chen et al., 2015; Cook et al., 2010; Li et al., 2015;
Linderholm et al., 2011). In addition, the potential evaporation pattern in
the Daxing'an Mountains is extremely low in the wettest years, and it also
supports the above remote-connection assumptions (Fig. S4).</p>
</sec>
</sec>
<sec id="Ch1.S5" sec-type="conclusions">
  <title>Conclusion</title>
      <p id="d1e3802">We developed a 260-year (1751 to 2010) tree-ring chronology of Scots pine
(<italic>Pinus sylvestris</italic> L. var. <italic>mongolica</italic> Litv.) from four sample
sites in the central Daxing'an Mountains, northeast China. Radial growth of
Scots pine was mainly limited by water availability (<inline-formula><mml:math id="M187" display="inline"><mml:mrow><mml:mi>R</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.62</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M188" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula>).
A 260-year dry–wet change history was reconstructed, and the reconstruction
equation explained 38.2 % of the PDSI variance for the period of 1911–2010.
Four dry and wet periods were found in the past 260 years, respectively. The
extreme dry years in our reconstruction series are consistent with the local
historical document records. Our reconstruction series revealed the dry–wet
changes in the Daxing'an Mountains and also was the representative of the
dry–wet changes in the west-central Mongolian Plateau, especially at the
decadal scale. Droughts during the 1920s–1930s in the Daxing'an Mountains
were more severe than in surrounding areas. In addition, the reconstruction
series showed that the Daxing'an Mountains have been getting warm and wet since the
late 1970s. This is not in line with the situation in the Mongolian Plateau,
especially in the transition zones. Our reconstruction also suggests that the
MADA by Cook et al. (2010) may not be accurate in the Daxing'an Mountains
likely due to the insufficient spatiotemporal distribution of the tree-ring
data in this area. Overall, drought variability in the central Daxing'an
Mountains and its relationship with the surrounding areas might be driven by
climate oscillations of the Pacific and Atlantic oceans (e.g., ENSO, PDO,
AMO, NAO and SNAO). These large-scale climate oscillations affect the Asian
monsoon and then lead to dry and wet changes in the Daxing'an Mountains.</p>
</sec>

      
      </body>
    <back><notes notes-type="dataavailability">

      <p id="d1e3839">The PDSI reconstruction in the central Daxing'an Mountains
will be uploaded to NOAA, and all the data published in this study will be available for non-commercial scientific purposes.</p>
  </notes><app-group>
        <supplementary-material position="anchor"><p id="d1e3842">The supplement related to this article is available online at: <inline-supplementary-material xlink:href="https://doi.org/10.5194/cp-14-1213-2018-supplement" xlink:title="pdf">https://doi.org/10.5194/cp-14-1213-2018-supplement</inline-supplementary-material>.</p></supplementary-material>
        </app-group><notes notes-type="authorcontribution">

      <p id="d1e3851">For this article, XW and SH initiated the study, LZ and QY
performed field sampling and data preprocessing, LZ performed statistical analyses
and wrote the manuscript, DJC and SH wrote partial discussion and revised the
whole manuscript, and XW performed partial analyses and produced figures.</p>
  </notes><notes notes-type="competinginterests">

      <p id="d1e3857">The authors declare that they have no conflict of
interest.</p>
  </notes><ack><title>Acknowledgements</title><p id="d1e3863">This research was supported by the Key Project of the China National Key
Research and Development Program (2016YFA0600800), the National Natural
Science Foundation of China (nos. 41471168 and 31770490), the Program for
Changjiang Scholars and Innovative Research Team in University (IRT-15R09)
and the Fundamental Research Funds for the Central Universities
(2572016AA32). We also thank Yongxian Lu and Lei Zhang of Northeast Forestry
University for their assistance in the field.<?xmltex \hack{\newline}?><?xmltex \hack{\newline}?>
Edited by: Nathalie Combourieu Nebout<?xmltex \hack{\newline}?> Reviewed by: two
anonymous referees</p></ack><ref-list>
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<abstract-html><p>We present a 260-year annual Palmer drought
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