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  <front>
    <journal-meta><journal-id journal-id-type="publisher">ESSD</journal-id><journal-title-group>
    <journal-title>Earth System Science Data</journal-title>
    <abbrev-journal-title abbrev-type="publisher">ESSD</abbrev-journal-title><abbrev-journal-title abbrev-type="nlm-ta">Earth Syst. Sci. Data</abbrev-journal-title>
  </journal-title-group><issn pub-type="epub">1866-3516</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/essd-13-3453-2021</article-id><title-group><article-title>A 1 km resolution soil organic carbon dataset<?xmltex \hack{\break}?> for frozen ground in the Third Pole</article-title><alt-title>1 km resolution soil organic carbon dataset for the Third Pole</alt-title>
      </title-group><?xmltex \runningtitle{1\,km resolution soil organic carbon dataset for the Third Pole}?><?xmltex \runningauthor{D. Wang et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Wang</surname><given-names>Dong</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="yes" rid="aff1 aff3">
          <name><surname>Wu</surname><given-names>Tonghua</given-names></name>
          <email>thuawu@lzb.ac.cn</email>
        <ext-link>https://orcid.org/0000-0002-5084-3570</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff4">
          <name><surname>Zhao</surname><given-names>Lin</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-0245-8413</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff5">
          <name><surname>Mu</surname><given-names>Cuicui</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Li</surname><given-names>Ren</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2 aff6">
          <name><surname>Wei</surname><given-names>Xianhua</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Hu</surname><given-names>Guojie</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Zou</surname><given-names>Defu</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-4445-224X</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Zhu</surname><given-names>Xiaofan</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Chen</surname><given-names>Jie</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-9089-8587</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff7">
          <name><surname>Hao</surname><given-names>Junmin</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-9172-9344</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Ni</surname><given-names>Jie</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Li</surname><given-names>Xiangfei</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-6186-3844</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Ma</surname><given-names>Wensi</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Wen</surname><given-names>Amin</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Shang</surname><given-names>Chengpeng</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>La</surname><given-names>Yune</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Ma</surname><given-names>Xin</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Wu</surname><given-names>Xiaodong</given-names></name>
          
        </contrib>
        <aff id="aff1"><label>1</label><institution>Cryosphere Research Station on the Qinghai–Tibetan Plateau, State
Key Laboratory of Cryospheric Science, Northwest Institute of
Eco-Environment and Resource, Chinese Academy of Sciences, <?xmltex \hack{\break}?>Lanzhou, Gansu
730000, China</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>College of Resources and Environment, University of Chinese Academy of Sciences, Beijing 100049, China</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Southern Marine Science and Engineering Guangdong Laboratory,
Guangzhou 511458, China</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>School of Geographical Sciences, Nanjing University of Information
Science &amp; Technology, <?xmltex \hack{\break}?>Nanjing 210000, China</institution>
        </aff>
        <aff id="aff5"><label>5</label><institution>Key Laboratory of Western China's Environmental Systems (Ministry
of Education),<?xmltex \hack{\break}?> College of Earth and Environmental Sciences, Lanzhou
University, Lanzhou 730000, China</institution>
        </aff>
        <aff id="aff6"><label>6</label><institution>College of Geography and Environmental Science, Northwest Normal
University, Lanzhou 730070, China</institution>
        </aff>
        <aff id="aff7"><label>7</label><institution>School of Civil Engineering, Lanzhou University of Technology,
Lanzhou 730050, China</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Tonghua Wu (thuawu@lzb.ac.cn)</corresp></author-notes><pub-date><day>16</day><month>July</month><year>2021</year></pub-date>
      
      <volume>13</volume>
      <issue>7</issue>
      <fpage>3453</fpage><lpage>3465</lpage>
      <history>
        <date date-type="received"><day>1</day><month>December</month><year>2020</year></date>
           <date date-type="rev-request"><day>25</day><month>February</month><year>2021</year></date>
           <date date-type="rev-recd"><day>1</day><month>June</month><year>2021</year></date>
           <date date-type="accepted"><day>10</day><month>June</month><year>2021</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2021 </copyright-statement>
        <copyright-year>2021</copyright-year>
      <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://essd.copernicus.org/articles/.html">This article is available from https://essd.copernicus.org/articles/.html</self-uri><self-uri xlink:href="https://essd.copernicus.org/articles/.pdf">The full text article is available as a PDF file from https://essd.copernicus.org/articles/.pdf</self-uri>
      <abstract><title>Abstract</title>
    <p id="d1e295">Soil organic carbon (SOC) is very important in the vulnerable
ecological environment of the Third Pole; however, data regarding the
spatial distribution of SOC are still scarce and uncertain. Based on
multiple environmental variables and soil profile data from 458 pits (depth
of 0–1 m) and 114 cores (depth of 0–3 m), this study uses a
machine-learning approach to evaluate the SOC storage and spatial
distribution at a depth interval of 0–3 m in the frozen ground area of the
Third Pole region. Our results showed that SOC stocks (SOCSs) exhibited a
decreasing spatial pattern from the southeast towards the northwest. The
estimated SOC storage in the upper 3 m of the soil profile was 46.18 Pg for
an area of <inline-formula><mml:math id="M1" display="inline"><mml:mrow><mml:mn mathvariant="normal">3.27</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">6</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> 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>, which included 21.69 and
24.49 Pg for areas of permafrost and seasonally frozen ground, respectively.
Our results provide information on the storage and patterns of SOCSs at a
1 km resolution for areas of frozen ground in the Third Pole region, thus
providing a scientific basis for future studies pertaining to Earth system
models. The dataset is open-access and available at
<ext-link xlink:href="https://doi.org/10.5281/zenodo.4293454" ext-link-type="DOI">10.5281/zenodo.4293454</ext-link> (Wang et al., 2020).</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d1e334">Soil is an important part of the global terrestrial ecosystem and represents
the largest terrestrial organic carbon pool with the longest turnover time
(Amundson, 2001). This is especially true in areas of frozen ground,
including permafrost and seasonally frozen ground. In cold environments,
soil accumulates substantial organic carbon due to slow decomposition rates
and repeated freeze–thaw cycles (Fan et al., 2012; Li et al., 2020). It has
been reported that more than half of the world's soil organic carbon (SOC)
is stored in permafrost regions (Hugelius et al., 2014; Ping et al., 2015).
Even slight changes in the decomposition of the SOC pool in permafrost
regions might lead to significant changes in the atmospheric CO<inline-formula><mml:math id="M3" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>
concentration, which plays an important role in regulating and stabilizing
the carbon balance of global ecosystems (Schuur et al., 2015). Therefore, it
is of great significance to accurately estimate the storage and spatial
distribution of<?pagebreak page3454?> SOC in regions of frozen ground in order to study the carbon
cycle of this ecosystem as well as global change.</p>
      <p id="d1e346">As the “roof of the world”, the Third Pole is the area of frozen ground at
the highest average altitude in the middle and low latitudes of the Northern
Hemisphere. The Third Pole is also one of the most sensitive areas with
respect to global climate change and has a warming rate that is
approximately twice the global average (Stocker et al., 2013). In the past
few decades, permafrost in the Third Pole region has experienced obvious
degradation (Mu et al., 2020b; Ran et al., 2018; Turetsky et al., 2019; Wu et
al., 2012). Permafrost degradation will not only cause serious geological
disasters and affect engineering construction in cold areas, but it will also
accelerate the decomposition of the huge SOC pool stored in permafrost
(Cheng and Wu, 2007; Cheng et al., 2019; Ding et al., 2021). Moreover, it
will emit a large amount of greenhouse gases into the atmosphere, thus
increasing the rate of climate change in the future (Schuur et al., 2015).
Therefore, accurate estimates of the SOC storage and spatial distribution in
the areas of frozen ground in the Third Pole region have become important
for Earth system modeling. Such estimates are widely used to study the
carbon cycle of this ecosystem and global change (Koven et al., 2011;
Lombardozzi et al., 2016; McGuire et al., 2018).</p>
      <p id="d1e349">Early studies were mostly based on data from China's national soil survey
and were combined with regional vegetation–soil maps to estimate the SOC
pool for a certain vegetation type or relatively small area (Wang et al.,
2002; Zeng et al., 2004). Up until 2008, the Chinese part of the
Qinghai–Tibet Plateau (QTP) was taken as an independent geographical unit to
estimate the SOC pool in the upper 100 cm of the soil profile (Tian et al.,
2008; Wu et al., 2008). However, these studies did not distinguish between
regions of permafrost and seasonally frozen ground. In recent years, based
on soil profile data and vegetation–soil maps, some studies have estimated
the SOC pool in the QTP permafrost region (Mu et al., 2015; Zhao et al.,
2018; Jiang et al., 2019). The aforementioned studies improved our
understanding of SOC storage in the Third Pole region, but estimation
results of 0–3 m SOC pool have large uncertainties, ranging from 17.1 to
40.9 Pg. In addition, the large-scale maps of vegetation and soil types used
in these studies were associated with large uncertainties because they were
created years ago and have a low spatial resolution, thus leading to
potentially large errors in the estimated total SOC pools (Mishra et al.,
2013; Mu et al., 2020a). Recently, considerable progress has been made in
digital soil mapping methods. Spatial interpolation, linear regression, and
machine learning have been widely used to simulate the spatial distribution
of SOC in the permafrost region of the QTP (Ding et al., 2016,
2019; Wang et al., 2020; Yang et al., 2008). These studies have provided new
spatial data and improved the prediction accuracy of SOC compared with
earlier studies. However, few studies to date have systematically assessed
SOC pools across areas of seasonally frozen ground in the Third Pole region,
which limits many investigations requiring SOC data for these areas.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1" specific-use="star"><?xmltex \currentcnt{1}?><?xmltex \def\figurename{Figure}?><label>Figure 1</label><caption><p id="d1e355">Distribution of soil pits in the Third Pole region (the frozen
ground map is derived from Obu et al., 2019).</p></caption>
        <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://essd.copernicus.org/articles/13/3453/2021/essd-13-3453-2021-f01.png"/>

      </fig>

      <p id="d1e364">To evaluate the size and high-resolution spatial patterns of SOC stocks in
the Third Pole region, we carried out a large-scale field-sampling plan that
covered representative permafrost zones over the region's bioclimatic
gradient, including a large unpopulated area with harsh natural conditions.
A total of 200 soil pits were excavated, most of which were deeper than 2 m.
In addition, we collected field-measured SOCS data for the Third Pole
region from relevant literature published between 2000 and 2016 (Ding et
al., 2016; Song et al., 2016; Xu et al., 2019; Yang et al., 2008). By
combining high-resolution remotely sensed data and interpolated
meteorological datasets, we simulated the spatial distribution of SOCSs in
the Third Pole region by three machine-learning methods and calculated the
SOC storage of specific soil intervals (0–30, 0–50, 0–100,
0–200, and 0–300 cm). The results provide basic data for Earth system
modeling and reference methods for studying the spatial distribution of
soil elements under complex terrain.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2" specific-use="star"><?xmltex \currentcnt{2}?><?xmltex \def\figurename{Figure}?><label>Figure 2</label><caption><p id="d1e369">Fieldwork photographs showing <bold>(a)</bold> soil sample collection and <bold>(b)</bold> a soil profile.</p></caption>
        <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://essd.copernicus.org/articles/13/3453/2021/essd-13-3453-2021-f02.jpg"/>

      </fig>

</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Materials and methods</title>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>Study area</title>
      <p id="d1e399">The Third Pole is the highest plateau in the world and is located on the
QTP and its surrounding mountains, which include Pamir and Hindu Kush
mountain ranges in the west, the Hengduan Mountains in the east, the Kunlun
and Qilian Mountains in the north, and the Himalayas in the south (Yao et
al., 2012). In addition, the Third Pole is the largest high-altitude
permafrost zone in the Northern Hemisphere, with a total permafrost area of
approximately <inline-formula><mml:math id="M4" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.72</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">6</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> km<inline-formula><mml:math id="M5" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>, thus representing
<inline-formula><mml:math id="M6" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 8 % of permafrost regions in the Northern Hemisphere (Obu
et al., 2019). The area of seasonally frozen ground covers an area of
approximately <inline-formula><mml:math id="M7" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.55</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">6</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> km<inline-formula><mml:math id="M8" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>, which is mainly located in
the eastern and southern parts of the Third Pole as well as at lower
elevations of basins (Fig. 1). The Third Pole is mainly covered by five
ecosystems: forests, shrubs, grasslands, croplands, and deserts (Hao et al.,
2017).</p>
</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>Data processing</title>
<sec id="Ch1.S2.SS2.SSS1">
  <label>2.2.1</label><title>Soil organic carbon data</title>
      <p id="d1e472">The collected SOC data used in this study included field-investigated data
and available published data for a total of 371 soil samples (458 samples for the
0–100 cm soil layer and 113 samples for the 0–300 cm soil layer).
<list list-type="order"><list-item>
      <p id="d1e477"><italic>Field-measured data</italic>. A total of 200 soil pits were excavated between
2009 and 2011; 72 soil pits were excavated manually in 2009, and 128 soil
pits were excavated with hydraulic excavators in 2010 and 2011. Most of the
pits were deeper than 2 m, unless rock layers were<?pagebreak page3455?> detected. For each soil
profile, we collected soil samples at depth intervals of 0–10, 10–20, 20–30, 30–50, 50–100, and 100–200 cm (Fig. 2).
The bulk density samples were obtained for each layer using a standard soil
sampler (5 cm diameter and 5 cm high stainless-steel cutting ring), and
bulk density was calculated as the ratio of the oven-dry soil mass to the
container volume. Soil samples for carbon analysis were air-dried,
handpicked to remove plant detritus, and then sieved through a 2 mm mesh to
calculate the volume percentage of the gravel. The SOC content was
determined using the Walkley–Black method after soil samples were pretreated
by air drying, grinding, and screening. The analyses were carried out in
triplicate using subsamples, and the mean of three values was used as the
SOC content. The SOCS was calculated using Eq. (1):
<?xmltex \hack{\newpage}?><disp-formula id="Ch1.E1" content-type="numbered"><label>1</label><mml:math id="M9" display="block"><mml:mrow><mml:mtext>SOCS</mml:mtext><mml:mo>=</mml:mo><mml:munderover><mml:mo movablelimits="false">∑</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mi>n</mml:mi></mml:munderover><mml:msub><mml:mi>T</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>×</mml:mo><mml:msub><mml:mtext>BD</mml:mtext><mml:mi>i</mml:mi></mml:msub><mml:mo>×</mml:mo><mml:msub><mml:mtext>SOC</mml:mtext><mml:mi>i</mml:mi></mml:msub><mml:mo>×</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mo>(</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>-</mml:mo><mml:msub><mml:mi>C</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow><mml:mn mathvariant="normal">10</mml:mn></mml:mfrac></mml:mstyle><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>where <inline-formula><mml:math id="M10" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, BD<inline-formula><mml:math id="M11" display="inline"><mml:msub><mml:mi/><mml:mi>i</mml:mi></mml:msub></mml:math></inline-formula>, SOC<inline-formula><mml:math id="M12" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mi>i</mml:mi></mml:msub><mml:mo>,</mml:mo></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M13" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> are soil thickness (cm), dried bulk density (g cm<inline-formula><mml:math id="M14" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>), SOC content (%), and
<inline-formula><mml:math id="M15" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 2 mm rock fragment content (%) at layer <inline-formula><mml:math id="M16" display="inline"><mml:mi>i</mml:mi></mml:math></inline-formula>.</p></list-item><list-item>
      <p id="d1e617"><italic>Available published data.</italic> We compiled all available information from the studies on SOC stocks in the Third Pole regions published after 2000. The
following three criteria are used to screen the data of SOC stocks from the
published literature: (1) the SOC data must be field investigated data; (2) eliminate sample data with missing geographic location information and
sampling time; (3) SOC measuring methods were similar to our experimental
procedure. Finally, the four papers selected<?pagebreak page3456?> encompassed the main ecosystems in
the Third Pole, namely forest, grassland, desert, cropland, and shrub
ecosystems. Specifically, data pertaining to a soil depth interval of 0–30 cm (<inline-formula><mml:math id="M17" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 135) were retrieved from Yang et al. (2010) for the SOC
database; data pertaining to a depth interval of 0–100 cm (<inline-formula><mml:math id="M18" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 93) were
obtained from Xu et al. (2019); data pertaining to a depth interval of
0–100 cm (<inline-formula><mml:math id="M19" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 30) were retrieved from Song et al. (2016).
Moreover, additional data for 0–3 and 0–2 m depth intervals (<inline-formula><mml:math id="M20" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 113)
were retrieved from Ding et al. (2016).</p></list-item></list></p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T1" specific-use="star"><?xmltex \currentcnt{1}?><label>Table 1</label><caption><p id="d1e665">Summary of soil organic carbon datasets used in this study.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="5">
     <oasis:colspec colnum="1" colname="col1" align="right"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="left"/>
     <oasis:colspec colnum="4" colname="col4" align="left"/>
     <oasis:colspec colnum="5" colname="col5" align="left"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Number of samples</oasis:entry>
         <oasis:entry colname="col2">Depth interval</oasis:entry>
         <oasis:entry colname="col3">Period</oasis:entry>
         <oasis:entry colname="col4">Method</oasis:entry>
         <oasis:entry colname="col5">Source</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">135</oasis:entry>
         <oasis:entry colname="col2">0–100 cm</oasis:entry>
         <oasis:entry colname="col3">2001–2005</oasis:entry>
         <oasis:entry colname="col4">Walkley–Black method</oasis:entry>
         <oasis:entry colname="col5">Yang et al. (2010)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">30</oasis:entry>
         <oasis:entry colname="col2">Genetic horizon</oasis:entry>
         <oasis:entry colname="col3">2012–2013</oasis:entry>
         <oasis:entry colname="col4">Walkley–Black method</oasis:entry>
         <oasis:entry colname="col5">Song et al. (2016)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">93</oasis:entry>
         <oasis:entry colname="col2">0–100 cm</oasis:entry>
         <oasis:entry colname="col3">2004–2014</oasis:entry>
         <oasis:entry colname="col4">Walkley–Black method</oasis:entry>
         <oasis:entry colname="col5">Xu et al. (2019)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">113</oasis:entry>
         <oasis:entry colname="col2">0–200 and 0–300 cm</oasis:entry>
         <oasis:entry colname="col3">2013–2014</oasis:entry>
         <oasis:entry colname="col4">Walkley–Black method</oasis:entry>
         <oasis:entry colname="col5">Ding et al. (2016)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">200</oasis:entry>
         <oasis:entry colname="col2">0–200 cm</oasis:entry>
         <oasis:entry colname="col3">2009–2013</oasis:entry>
         <oasis:entry colname="col4">Walkley–Black method</oasis:entry>
         <oasis:entry colname="col5">Field-investigated</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p id="d1e798">Combined with the available published data and field-investigated data
(Table 1), the 458 soil pits (depth of 0–1 m) and 114 soil cores (depth of
0–3 m) can represent the ecosystem types and characters in large areas of
the Third Pole (Table 2).</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T2"><?xmltex \currentcnt{2}?><label>Table 2</label><caption><p id="d1e805">Number of soil sample points of different ecosystems in the Third
Pole region.</p></caption><oasis:table frame="topbot"><?xmltex \begin{scaleboxenv}{.97}[.97]?><oasis:tgroup cols="6">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="center"/>
     <oasis:colspec colnum="3" colname="col3" align="center"/>
     <oasis:colspec colnum="4" colname="col4" align="center"/>
     <oasis:colspec colnum="5" colname="col5" align="center"/>
     <oasis:colspec colnum="6" colname="col6" align="center"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Ecosystem</oasis:entry>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">types</oasis:entry>
         <oasis:entry colname="col2">Forest</oasis:entry>
         <oasis:entry colname="col3">Shrub</oasis:entry>
         <oasis:entry colname="col4">Grassland</oasis:entry>
         <oasis:entry colname="col5">Desert</oasis:entry>
         <oasis:entry colname="col6">Cropland</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Number</oasis:entry>
         <oasis:entry colname="col2">10</oasis:entry>
         <oasis:entry colname="col3">22</oasis:entry>
         <oasis:entry colname="col4">371</oasis:entry>
         <oasis:entry colname="col5">49</oasis:entry>
         <oasis:entry colname="col6">6</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup><?xmltex \end{scaleboxenv}?></oasis:table></table-wrap>

</sec>
<sec id="Ch1.S2.SS2.SSS2">
  <label>2.2.2</label><title>Environmental covariates</title>
      <p id="d1e901">The environmental covariates used in this study included a digital elevation
model (DEM), remotely sensed data, and spatial interpolation data (Table S1).</p>
      <p id="d1e904">A DEM at a spatial resolution of 1 km was downloaded from the International
Scientific Data Service Platform (<uri>http://datamirror.csdb.cn</uri>, last access: 8 July 2021). Using the DEM
data and SAGA GIS software, we calculated 14 terrain attributes: elevation
(H), slope (S), aspect (A), plan curvature (PlanC), profile curvature
(ProC), topographic wetness index (TWI), total catchment area (TCA),
relative slope position (RSP), slope length and steepness factor (LS),
convergence index (CI), channel network base level (CNB), channel network
distance (CND), valley depth (VD), and closed depressions (CD).</p>
      <p id="d1e910">Mean annual air temperature (MAT) and mean annual precipitation (MAP) data
were downloaded from WorldClim version 2.1 (<uri>https://www.worldclim.org</uri>, last access: 8 July 2021).
These datasets were generated by organizing, calculating, and spatially
interpolating observed data from global meteorological stations for the
period 1970–2000.</p>
      <p id="d1e916">Normalized difference vegetation index (NDVI) data were obtained from the
United States Geological Survey (USGS) (<uri>http://modis.gsfc.nasa.gov/</uri>, last access: 8 July 2021). The
datasets underwent atmospheric, radiometric, and geometric correction, with
a spatial resolution of 1 km for every 1-month interval over the period
2000–2015. The NDVI product was calculated using the maximum value
composite (MVC) method, which can minimize the effects of aerosols and
clouds (Stow et al., 2004).</p>
      <p id="d1e923">The net primary productivity (NPP) and leaf area index (LAI) data were
obtained from the Global Land Surface Satellite (GLASS, V3.1), which is
estimated from the MODIS reflectance data using the general regression
neural network (GRNN) method (Liang et al., 2013). Data were at a 1 km
resolution for 8 d periods between 2000 and 2015 and were downloaded
from the National Earth System Science Data Center of the National Science
&amp; Technology Infrastructure of China (<uri>http://www.geodata.cn</uri>).</p>
      <p id="d1e929">The soil texture data, including sand, silt, and clay contents, were
obtained from the SoilGrids250m database (<uri>http://www.isric.org</uri>, last access: 8 July 2021). The
original 250 m spatial resolution data were resampled to a 1 km resolution
based on nearest neighbor interpolation using ArcGIS 10.2 software (ESRI,
Redlands, CA, USA).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3"><?xmltex \currentcnt{3}?><?xmltex \def\figurename{Figure}?><label>Figure 3</label><caption><p id="d1e937">Workflow diagram for predicting SOCS in this study. RF: random
forest; SVM: support vector machine; GBRT: gradient boosted regression tree.</p></caption>
            <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://essd.copernicus.org/articles/13/3453/2021/essd-13-3453-2021-f03.png"/>

          </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4" specific-use="star"><?xmltex \currentcnt{4}?><?xmltex \def\figurename{Figure}?><label>Figure 4</label><caption><p id="d1e948">Extrapolation function of the SOCS between soil depth intervals of
<bold>(a)</bold> 0–100 and 0–200 cm in grassland ecosystems, <bold>(b)</bold> 0–100 and
0–200 cm in desert ecosystems, and <bold>(c)</bold> 0–200 and 0–300 cm in grassland
ecosystems.</p></caption>
            <?xmltex \igopts{width=426.791339pt}?><graphic xlink:href="https://essd.copernicus.org/articles/13/3453/2021/essd-13-3453-2021-f04.png"/>

          </fig>

      <p id="d1e966">The land cover data used in this study were collected from the Land Cover
Type Climate Modeling Grid (CMG) product (MCD12C1) from 2010
(<uri>https://lpdaac.usgs.gov</uri>, last access: 8 July 2021). The classification schemes in this study were
based on the global vegetation classification scheme of the International
Geosphere-Biosphere Programme (IGBP). We reclassified the land cover types
into five major categories: forest, shrub, grassland, cropland, and desert.</p>
</sec>
</sec>
<sec id="Ch1.S2.SS3">
  <label>2.3</label><title>Model predictions</title>
<sec id="Ch1.S2.SS3.SSS1">
  <label>2.3.1</label><title>Geographical modeling and selection of the predictors</title>
      <p id="d1e988">In this study, three machine-learning methods (random forest (RF), gradient
boosted regression tree (GBRT), and support vector machine (SVM)) were
constructed and validated using the SOCS in the upper 30 cm of soil profiles
along with associated variables (Fig. 3).</p>
      <?pagebreak page3457?><p id="d1e991">With respect to the machine-learning methods used, RF is used for
classification, regression, and other tasks. It is operated by constructing
a large number of decision trees during training and outputs the class as
the classification or regression patterns of single trees (Tin Kam, 1998).
The GBRT method is an iterative fitting algorithm composed of multiple
regression trees and combines regression trees with a boosting technique to
improve predictive accuracy (Elith et al., 2008). The SVM regression method
uses kernel functions to construct an optimal hyperplane, which has a
minimal total deviation (Drake and Guisan, 2006). Combined with the remotely
sensed data and spatial interpolation data, RF, GBRT, and SVM regression
were conducted to predict the SOCS in the Third Pole region. The
“randomForest”, “gbm”, and “e1071” packages in R were used to perform RF, GBRT, and SVM analyses.</p>
      <p id="d1e994">The 15 input variables (H, S, TWI, TCA, RSP, CNB, CND, VD, NDVI, NPP, LAI,
MAP, MAT, sand, and silt) for the three regression models were selected
because they can reflect the effects of topography, climate, vegetation, and
soil properties on regional SOCS. Moreover, these variables were
significantly associated with the SOCS at a depth interval of 0–30 cm (<inline-formula><mml:math id="M21" 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>, Table S2), whereas other environmental factors were eliminated due to
their low correlation coefficients.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5"><?xmltex \currentcnt{5}?><?xmltex \def\figurename{Figure}?><label>Figure 5</label><caption><p id="d1e1012">A Taylor diagram used to evaluate the model performance of random
forest (RF), support vector machine (SVM), and gradient boosting regression
tree (GBRT) models, which were used to predict the SOCS in the upper 30 cm
of soil profiles across the Third Pole. The contour centered on the observed
indicates the root-mean-square error (RMSE, kg  m<inline-formula><mml:math id="M22" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) between
the predicted value and observed value.</p></caption>
            <?xmltex \igopts{width=170.716535pt}?><graphic xlink:href="https://essd.copernicus.org/articles/13/3453/2021/essd-13-3453-2021-f05.png"/>

          </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6" specific-use="star"><?xmltex \currentcnt{6}?><?xmltex \def\figurename{Figure}?><label>Figure 6</label><caption><p id="d1e1035">“Leave-one-out” cross-validation for the RF model used to
predict the SOCS at <bold>(a)</bold> 0–30 cm, <bold>(b)</bold> 0–50 cm, and <bold>(c)</bold> 0–100 cm depth
intervals.</p></caption>
            <?xmltex \igopts{width=426.791339pt}?><graphic xlink:href="https://essd.copernicus.org/articles/13/3453/2021/essd-13-3453-2021-f06.png"/>

          </fig>

</sec>
<?pagebreak page3458?><sec id="Ch1.S2.SS3.SSS2">
  <label>2.3.2</label><title>Estimation method of SOCS in deep soils</title>
      <p id="d1e1061">To generate the spatial distributions of SOCS in deep layers (below a depth
of 100 cm), we established nonlinear extrapolation models (Fig. 4a–b; Eqs. 2–4) between the SOCS in the upper 100 cm interval and the SOCS in the
upper 200 cm interval using the data from the 200 soil pits in grassland (<inline-formula><mml:math id="M23" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 151) and desert ecosystems (<inline-formula><mml:math id="M24" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 49, Fig. S1). A third extrapolation
model between the SOCS in the upper 200 cm interval and the SOCS in the
upper 300 cm interval in grassland ecosystems was established using the data
from 114 sites reported by Ding et al. (2016) (Fig. 4c; Eq. 4).

                  <disp-formula specific-use="gather" content-type="numbered"><mml:math id="M25" display="block"><mml:mtable rowspacing="5.690551pt 5.690551pt" displaystyle="true"><mml:mlabeledtr id="Ch1.E2"><mml:mtd><mml:mtext>2</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mtable class="split" rowspacing="0.2ex" displaystyle="true" columnalign="right left"><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mi>ln⁡</mml:mi><mml:msub><mml:mtext>SOCS</mml:mtext><mml:mrow><mml:mi>G</mml:mi><mml:mo>(</mml:mo><mml:mtext>0–200 cm</mml:mtext><mml:mo>)</mml:mo></mml:mrow></mml:msub><mml:mo>=</mml:mo></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mn mathvariant="normal">0.9708</mml:mn><mml:mo>×</mml:mo><mml:mi>ln⁡</mml:mi><mml:msub><mml:mtext>SOCS</mml:mtext><mml:mrow><mml:mi>G</mml:mi><mml:mo>(</mml:mo><mml:mtext>0–100 cm</mml:mtext><mml:mo>)</mml:mo></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.3128</mml:mn></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E3"><mml:mtd><mml:mtext>3</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mtable class="split" rowspacing="0.2ex" displaystyle="true" columnalign="right left"><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mi>ln⁡</mml:mi><mml:msub><mml:mtext>SOCS</mml:mtext><mml:mrow><mml:mi>D</mml:mi><mml:mo>(</mml:mo><mml:mtext>0–200 cm</mml:mtext><mml:mo>)</mml:mo></mml:mrow></mml:msub><mml:mo>=</mml:mo></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mn mathvariant="normal">0.8690</mml:mn><mml:mo>×</mml:mo><mml:mi>ln⁡</mml:mi><mml:msub><mml:mtext>SOCS</mml:mtext><mml:mrow><mml:mi>D</mml:mi><mml:mo>(</mml:mo><mml:mtext>0–100 cm</mml:mtext><mml:mo>)</mml:mo></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.7649</mml:mn></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E4"><mml:mtd><mml:mtext>4</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mtable class="split" rowspacing="0.2ex" displaystyle="true" columnalign="right left"><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mi>ln⁡</mml:mi><mml:msub><mml:mtext>SOCS</mml:mtext><mml:mrow><mml:mi>G</mml:mi><mml:mo>(</mml:mo><mml:mtext>0–300 cm</mml:mtext><mml:mo>)</mml:mo></mml:mrow></mml:msub><mml:mo>=</mml:mo></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mn mathvariant="normal">0.9521</mml:mn><mml:mo>×</mml:mo><mml:mi>ln⁡</mml:mi><mml:msub><mml:mtext>SOCS</mml:mtext><mml:mrow><mml:mi>G</mml:mi><mml:mo>(</mml:mo><mml:mtext>0–200 cm</mml:mtext><mml:mo>)</mml:mo></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.3296</mml:mn></mml:mrow></mml:mtd></mml:mtr></mml:mtable><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

              where lnSOCS<inline-formula><mml:math id="M26" display="inline"><mml:msub><mml:mi/><mml:mrow><mml:msub><mml:mi>G</mml:mi><mml:mtext>(0–100 cm)</mml:mtext></mml:msub></mml:mrow></mml:msub></mml:math></inline-formula>, lnSOCS<inline-formula><mml:math id="M27" display="inline"><mml:msub><mml:mi/><mml:mrow><mml:msub><mml:mi>G</mml:mi><mml:mtext>(0–200 cm)</mml:mtext></mml:msub></mml:mrow></mml:msub></mml:math></inline-formula>, and
lnSOCS<inline-formula><mml:math id="M28" display="inline"><mml:msub><mml:mi/><mml:mrow><mml:msub><mml:mi>G</mml:mi><mml:mtext>(0–300 cm)</mml:mtext></mml:msub></mml:mrow></mml:msub></mml:math></inline-formula> are the natural logarithms of the SOC stocks
(kg m<inline-formula><mml:math id="M29" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) in grassland ecosystems at the depth intervals of
0–100, 0–200, and 0–300 cm, respectively; likewise,
lnSOCS<inline-formula><mml:math id="M30" display="inline"><mml:msub><mml:mi/><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mtext>(0–100 cm)</mml:mtext></mml:msub></mml:mrow></mml:msub></mml:math></inline-formula> and lnSOCS<inline-formula><mml:math id="M31" display="inline"><mml:msub><mml:mi/><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mtext>(0–200 cm)</mml:mtext></mml:msub></mml:mrow></mml:msub></mml:math></inline-formula> are the natural
logarithms of the SOC stocks (kg m<inline-formula><mml:math id="M32" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) in desert ecosystems
at the depth intervals of 0–100 and 0–200 cm, respectively.</p>
      <p id="d1e1344">It is impossible to build extrapolation models directly to estimate deep SOC
storage in forest, shrub, and cropland ecosystems, which lack deep soil pits
below 100 cm. Therefore, according to the vertical distribution of the SOCS
associated with different land cover types worldwide from Jobbagy and
Jackson (2000), the extrapolation models shown in Eqs. (5)–(6) were
established indirectly to estimate deep SOC storage (below a depth of 100 cm) in areas of these land cover types (Fig. S1). Correspondingly, Eq. (7)
was established to estimate the deep SOC storage (below a depth of 200 cm)
in desert ecosystems due to a lack of deep soil pits below 200 cm.

                  <disp-formula specific-use="gather" content-type="numbered"><mml:math id="M33" display="block"><mml:mtable rowspacing="5.690551pt 5.690551pt" displaystyle="true"><mml:mlabeledtr id="Ch1.E5"><mml:mtd><mml:mtext>5</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:msub><mml:mtext>SOCS</mml:mtext><mml:mtext>0–200 cm</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mfenced close=")" open="("><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mtext>100–200 cm</mml:mtext></mml:msub></mml:mrow></mml:mfenced><mml:mo>×</mml:mo><mml:msub><mml:mtext>SOCS</mml:mtext><mml:mtext>0–100 cm</mml:mtext></mml:msub></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E6"><mml:mtd><mml:mtext>6</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mtable rowspacing="0.2ex" class="split" displaystyle="true" columnalign="right left"><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:msub><mml:mtext>SOCS</mml:mtext><mml:mtext>0–300 cm</mml:mtext></mml:msub><mml:mo>=</mml:mo></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mfenced close=")" open="("><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mtext>100–200 cm</mml:mtext></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mtext>200–300 cm</mml:mtext></mml:msub></mml:mrow></mml:mfenced><mml:mo>×</mml:mo><mml:msub><mml:mtext>SOCS</mml:mtext><mml:mtext>0–100 cm</mml:mtext></mml:msub></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E7"><mml:mtd><mml:mtext>7</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mtable rowspacing="0.2ex" class="split" displaystyle="true" columnalign="right left"><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:msub><mml:mtext>SOCS</mml:mtext><mml:mtext>0–300 cm</mml:mtext></mml:msub><mml:mo>=</mml:mo></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:msub><mml:mtext>SOCS</mml:mtext><mml:mtext>0–200 cm</mml:mtext></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mtext>200–300 cm</mml:mtext></mml:msub><mml:mo>×</mml:mo><mml:msub><mml:mtext>SOCS</mml:mtext><mml:mtext>0–100 cm</mml:mtext></mml:msub></mml:mrow></mml:mtd></mml:mtr></mml:mtable><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

              where <inline-formula><mml:math id="M34" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mtext>100–200 cm</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M35" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mtext>200–300 cm</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> are proportion of SOCS<inline-formula><mml:math id="M36" display="inline"><mml:msub><mml:mi/><mml:mtext>100–200 cm</mml:mtext></mml:msub></mml:math></inline-formula> and SOCS<inline-formula><mml:math id="M37" display="inline"><mml:msub><mml:mi/><mml:mtext>200–300 cm</mml:mtext></mml:msub></mml:math></inline-formula> in SOCS<inline-formula><mml:math id="M38" display="inline"><mml:msub><mml:mi/><mml:mtext>0–100 cm</mml:mtext></mml:msub></mml:math></inline-formula>, respectively.</p>
      <p id="d1e1527">The calculation of the SOC storage (Pg) for a region generally uses Eq. (8):
              <disp-formula id="Ch1.E8" content-type="numbered"><label>8</label><mml:math id="M39" display="block"><mml:mrow><mml:msub><mml:mtext>SOC</mml:mtext><mml:mtext>storage</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:munderover><mml:mo movablelimits="false">∑</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mi>n</mml:mi></mml:munderover><mml:msub><mml:mtext>SOCS</mml:mtext><mml:mi>i</mml:mi></mml:msub><mml:mo>×</mml:mo><mml:mi>A</mml:mi><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">12</mml:mn></mml:mrow></mml:msup><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
            where SOCS<inline-formula><mml:math id="M40" display="inline"><mml:msub><mml:mi/><mml:mi>i</mml:mi></mml:msub></mml:math></inline-formula> is the SOCS (kg m<inline-formula><mml:math id="M41" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) at site <inline-formula><mml:math id="M42" display="inline"><mml:mi>i</mml:mi></mml:math></inline-formula>, and <inline-formula><mml:math id="M43" display="inline"><mml:mi>A</mml:mi></mml:math></inline-formula> is the area
(m<inline-formula><mml:math id="M44" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>) of each grid unit.</p>
</sec>
<sec id="Ch1.S2.SS3.SSS3">
  <label>2.3.3</label><title>Model validation</title>
      <p id="d1e1629">To test the predictive effects of the three machine-learning methods,
“leave-one-out” cross-validation was conducted. We used the <inline-formula><mml:math id="M45" 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>
value, the mean error (ME, Eq. 9), and the root mean square error (RMSE, Eq. 10) to evaluate the performance of the prediction models.

                  <disp-formula specific-use="align" content-type="numbered"><mml:math id="M46" display="block"><mml:mtable displaystyle="true"><mml:mlabeledtr id="Ch1.E9"><mml:mtd><mml:mtext>9</mml:mtext></mml:mtd><mml:mtd><mml:mstyle class="stylechange" displaystyle="true"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mtext>ME</mml:mtext><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">1</mml:mn><mml:mi>n</mml:mi></mml:mfrac></mml:mstyle><mml:munderover><mml:mo movablelimits="false">∑</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mi>n</mml:mi></mml:munderover><mml:mfenced open="[" close="]"><mml:mrow><mml:mi>D</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mi>x</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>)</mml:mo><mml:mo>-</mml:mo><mml:msup><mml:mi>D</mml:mi><mml:mo>∗</mml:mo></mml:msup><mml:mo>(</mml:mo><mml:msub><mml:mi>x</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:mfenced></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E10"><mml:mtd><mml:mtext>10</mml:mtext></mml:mtd><mml:mtd><mml:mstyle displaystyle="true" class="stylechange"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mtext>RMSE</mml:mtext><mml:mo>=</mml:mo><mml:msqrt><mml:mrow><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">1</mml:mn><mml:mi>n</mml:mi></mml:mfrac></mml:mstyle><mml:munderover><mml:mo movablelimits="false">∑</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mi>n</mml:mi></mml:munderover><mml:msup><mml:mfenced open="[" close="]"><mml:mrow><mml:mi>D</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mi>x</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>)</mml:mo><mml:mo>-</mml:mo><mml:msup><mml:mi>D</mml:mi><mml:mo>∗</mml:mo></mml:msup><mml:mo>(</mml:mo><mml:msub><mml:mi>x</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:mfenced><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:msqrt><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

              where <inline-formula><mml:math id="M47" display="inline"><mml:mrow><mml:mi>D</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mi>x</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> is the measured SOCS, <inline-formula><mml:math id="M48" display="inline"><mml:mrow><mml:msup><mml:mi>D</mml:mi><mml:mo>∗</mml:mo></mml:msup><mml:mo>(</mml:mo><mml:msub><mml:mi>x</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> is the predicted
SOCS, and <inline-formula><mml:math id="M49" display="inline"><mml:mi>n</mml:mi></mml:math></inline-formula> is the number of validation sites.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F7" specific-use="star"><?xmltex \currentcnt{7}?><?xmltex \def\figurename{Figure}?><label>Figure 7</label><caption><p id="d1e1822">Spatial distribution of SOCS at different depth intervals over the
Third Pole.</p></caption>
            <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://essd.copernicus.org/articles/13/3453/2021/essd-13-3453-2021-f07.png"/>

          </fig>

<?xmltex \floatpos{p}?><table-wrap id="Ch1.T3" specific-use="star"><?xmltex \currentcnt{3}?><label>Table 3</label><caption><p id="d1e1834">Summary of the estimated mean SOC stocks and storages in permafrost
and seasonally frozen ground of the Third Pole.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="7">
     <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"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Depth (cm)</oasis:entry>
         <oasis:entry rowsep="1" namest="col2" nameend="col4" align="center" colsep="1">SOC stock (kg m<inline-formula><mml:math id="M50" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)  </oasis:entry>
         <oasis:entry rowsep="1" namest="col5" nameend="col7" align="center">SOC storage (Pg)  </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">Seasonally</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6">Seasonally</oasis:entry>
         <oasis:entry colname="col7"/>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Permafrost</oasis:entry>
         <oasis:entry colname="col3">frozen ground</oasis:entry>
         <oasis:entry colname="col4">Third Pole</oasis:entry>
         <oasis:entry colname="col5">Permafrost</oasis:entry>
         <oasis:entry colname="col6">frozen ground</oasis:entry>
         <oasis:entry colname="col7">Third Pole</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">0–30</oasis:entry>
         <oasis:entry colname="col2">4.13</oasis:entry>
         <oasis:entry colname="col3">5.56</oasis:entry>
         <oasis:entry colname="col4">4.84</oasis:entry>
         <oasis:entry colname="col5">7.61</oasis:entry>
         <oasis:entry colname="col6">8.63</oasis:entry>
         <oasis:entry colname="col7">15.79</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">0–50</oasis:entry>
         <oasis:entry colname="col2">5.72</oasis:entry>
         <oasis:entry colname="col3">7.16</oasis:entry>
         <oasis:entry colname="col4">6.45</oasis:entry>
         <oasis:entry colname="col5">10.53</oasis:entry>
         <oasis:entry colname="col6">11.12</oasis:entry>
         <oasis:entry colname="col7">21.04</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">0–100</oasis:entry>
         <oasis:entry colname="col2">7.28</oasis:entry>
         <oasis:entry colname="col3">9.70</oasis:entry>
         <oasis:entry colname="col4">8.51</oasis:entry>
         <oasis:entry colname="col5">13.41</oasis:entry>
         <oasis:entry colname="col6">15.06</oasis:entry>
         <oasis:entry colname="col7">27.75</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">0–200</oasis:entry>
         <oasis:entry colname="col2">10.25</oasis:entry>
         <oasis:entry colname="col3">12.88</oasis:entry>
         <oasis:entry colname="col4">11.57</oasis:entry>
         <oasis:entry colname="col5">18.88</oasis:entry>
         <oasis:entry colname="col6">19.99</oasis:entry>
         <oasis:entry colname="col7">37.71</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">0–300</oasis:entry>
         <oasis:entry colname="col2">12.52</oasis:entry>
         <oasis:entry colname="col3">15.40</oasis:entry>
         <oasis:entry colname="col4">14.17</oasis:entry>
         <oasis:entry colname="col5">21.69</oasis:entry>
         <oasis:entry colname="col6">24.49</oasis:entry>
         <oasis:entry colname="col7">46.18</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

</sec>
</sec>
</sec>
<?pagebreak page3459?><sec id="Ch1.S3">
  <label>3</label><title>Results</title>
<sec id="Ch1.S3.SS1">
  <label>3.1</label><title>Performance of machine-learning methods</title>
      <p id="d1e2073">The results of the “leave-one-out” cross-validation showed that the RF
model exhibited a Pearson's correlation coefficient of 0.81, which was
higher than that of the GBRT model (0.79) and SVM model (0.77). In addition,
the RMSE of the RF model (3.01 kg m<inline-formula><mml:math id="M51" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) was lower than that of
the GBRT model (3.11 kg m<inline-formula><mml:math id="M52" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) and SVM model (3.21 kg m<inline-formula><mml:math id="M53" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) for the upper 30 cm of the soil profile (Fig. 5).
These results suggest that the RF model provides a better tool for
predicting the spatial distribution of SOCS in the Third Pole region.
Moreover, in order to further discuss the simulation accuracy of the RF
model in this study, “leave-one-out” cross-validations were conducted for
depth intervals of 0–50 and 0–100 cm. The results revealed high
<inline-formula><mml:math id="M54" 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> as well as low RMSE and ME values (Fig. 6).</p>

      <?xmltex \floatpos{p}?><fig id="Ch1.F8" specific-use="star"><?xmltex \currentcnt{8}?><?xmltex \def\figurename{Figure}?><label>Figure 8</label><caption><p id="d1e2125">Comparison of spatial details of the predictions with the previous
studies: SOCS at 0–300 cm depth in the map excerpt of Budongquan area of
Qinghai province, China. <bold>(a)</bold> Ding et al. (2016); <bold>(b)</bold> Ding et al. (2019); <bold>(c)</bold> Wang et al. (2020); <bold>(d)</bold> this study.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://essd.copernicus.org/articles/13/3453/2021/essd-13-3453-2021-f08.png"/>

        </fig>

      <?xmltex \floatpos{p}?><fig id="Ch1.F9" specific-use="star"><?xmltex \currentcnt{9}?><?xmltex \def\figurename{Figure}?><label>Figure 9</label><caption><p id="d1e2148">Comparison of the SOCS prediction with the WISE30sec from Batjes (2016) and the SoilGrids250m from Hengl et al. (2017) at 0–200 cm depth
intervals based on the 213 SOCS data from Ding et al. (2016) and field
investigations.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://essd.copernicus.org/articles/13/3453/2021/essd-13-3453-2021-f09.png"/>

        </fig>

<?xmltex \hack{\newpage}?>
</sec>
<sec id="Ch1.S3.SS2">
  <label>3.2</label><title>Storage and spatial distribution of soil organic carbon</title>
      <p id="d1e2167">Figure 7 shows a large spatial variability of the SOCS across the Third Pole
region, whereby an overall decreasing trend can be observed from the
southeast towards the northwest. The wetland area in the eastern region of
the Third Pole (Ruoergai) had the highest predicted SOCS for a depth
interval of 0–300 cm (<inline-formula><mml:math id="M55" display="inline"><mml:mo lspace="0mm">&gt;</mml:mo></mml:math></inline-formula> 32 kg m<inline-formula><mml:math id="M56" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>), whereas the
northern region (Qiangtang Plateau and Qaidam Basin) had the lowest SOCS
(<inline-formula><mml:math id="M57" display="inline"><mml:mo lspace="0mm">&lt;</mml:mo></mml:math></inline-formula> 8 kg m<inline-formula><mml:math id="M58" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>). The estimated mean SOCS for the entire
Third Pole region at depth intervals of 0–30, 0–50, 1–100,
0–200, and 0–300 cm was 4.84, 6.45, 8.51, 11.57, and
14.17 kg m<inline-formula><mml:math id="M59" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, respectively. Correspondingly, the total
estimated SOC storage was 15.79, 21.04, 27.75, 37.71, and 46.18 Pg at 0–30, 0–50, 0–100, 0–200, and 0–300 cm, respectively
(Table 3). In addition, the SOCS decreased with increasing soil depth across
the Third Pole region, with 34.26 % of the total SOC storage for a depth
interval of 0–300 cm being contained in the uppermost 30 cm and only
17.89 % in the 200–300 cm depth interval.</p>
      <?pagebreak page3462?><p id="d1e2220"><?xmltex \hack{\newpage}?>Compared with the area of seasonally frozen ground, the mean SOCS and total
SOC storage in the permafrost region were lower in each soil layer. The
estimated amount of SOC stored at a depth interval of 0–300 cm in the
permafrost and seasonal frozen ground zone was 21.69 and 24.49 Pg,
respectively, which accounted for 46.97 % and 53.03 % of the total SOC pools, respectively.</p>
</sec>
</sec>
<sec id="Ch1.S4">
  <label>4</label><title>Discussion</title>
      <p id="d1e2233">In this study, we provided the new version of 1 km resolution maps of SOCS
across the Third Pole at 0–300 cm depth intervals, which largely makes up for
the deficiencies of previous studies (Ding et al., 2016, 2019;
Wang et al., 2020). On the one hand, our predictions have higher resolution
than those studies. Take an example and focus on a <inline-formula><mml:math id="M60" display="inline"><mml:mrow><mml:mn mathvariant="normal">4.5</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">4</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> km<inline-formula><mml:math id="M61" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> local area situated in the Budongquan area of Qinghai province,
China (Fig. 8). It can be seen from the excerpts of the map that our
prediction is much more detailed than previous studies. Thus, our
predictions better represented spatial variation of the SOCS across the
Third Pole region, especially for those regions with large heterogeneity. On
the other hand, these reports focused mostly on the permafrost regions rather
than the whole Third Pole (Ding et al., 2016; Wang et al., 2020). To date,
few studies have investigated the SOC storage and spatial patterns in areas
of seasonally frozen ground in the Third Pole region. In this study, we
created high spatial resolution data of SOCS distribution in the whole Third
Pole by compiling all the field data and using machine-learning methods,
thus providing more accurate data than previous studies.</p>
      <p id="d1e2260">In addition, our predictions were much more accurate than the existing
global SOC datasets. Figure 9 shows accuracy assessments of our predictions,
the SoilGrids250m from Hengl et al. (2017), and the WISE30sec SOCS data from
Batjes (2016) at 0–2 m depth intervals based on the 213 SOC stock data
from Ding et al. (2016) and field investigations. We found that our
prediction had a higher <inline-formula><mml:math id="M62" 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> value and lower RMSE value than SoilGrids250m and
WISE30sec. The lowest accuracy was found for the WISE30sec maps, showing the
advantage of digital soil mapping based on machine learning over
conventional mapping method based on the vegetation–soil units (Liu et al.,
2020). The lower accuracy of SoilGrids250m than our predictions is
mainly because of serious overestimation of bulk density, as well as the neglected
influence of coarse gravel content (Hengl et al., 2017). Soil profile data
used in SoilGrids250m at the Third Pole region are mainly from
China's second national soil survey, which lacked accurate information on coarse-gravel content and bulk density (Shi and Song, 2016). In addition, almost all
of these soil profiles are within 1 m depth, which could be a great
instability in calculating the deeper SOC by SoilGrids250m. Moreover, the
global model building could be less accurate than the regional model
building when focusing on a regional extent (Vitharana et al., 2019; Liu et
al., 2020). Consequently, our predictions were much more accurate than the
existing maps of SOCS.</p>
      <p id="d1e2274">Our study provides new and more accurate data on SOC storage and spatial
patterns for a depth interval of 0–3 m at a 1 km resolution over the Third
Pole region, thus providing basic data for future studies pertaining to
Earth system modeling. We note that a lack of deep soil pits in forest,
shrub, and cropland ecosystems (Fig. S2) means some uncertainties in the
estimation of deep SOC pools remain; however, the collective area of these
ecosystems accounts for <inline-formula><mml:math id="M63" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 6% of the total area of the Third Pole
region and may have a relatively small influence on total SOC pools (Fig. S1). Regardless, there is a need for large-scale soil surveys that include
these areas in order to obtain more accurate information on the SOC storage
and distribution in the Third Pole region. Furthermore, regional SOC pools
are affected by many other factors, such as soil moisture (Wu et al., 2016)
and grazing activities (Zhou et al., 2017), which were not considered in our
study due to lack of high-resolution data with a high accuracy. Future work
should consider the influence of these factors on SOC at a regional scale to
obtain more accurate datasets.</p>
</sec>
<sec id="Ch1.S5">
  <label>5</label><title>Data availability</title>
      <p id="d1e2293">The datasets of SOC stocks distribution in GeoTiff format are available at
<ext-link xlink:href="https://doi.org/10.5281/zenodo.4293454" ext-link-type="DOI">10.5281/zenodo.4293454</ext-link> (Wang et al., 2020). The file name is
“TP-SOC-d.tif”, where d represents soil depth; for example,
“TP-SOC-30.tif” represents the spatial distribution of SOC stocks in the
Third Pole regions of the upper 30 cm depth interval.</p>
</sec>
<sec id="Ch1.S6" sec-type="conclusions">
  <label>6</label><title>Conclusions</title>
      <p id="d1e2307">This study simulated the spatial pattern of the SOCS over the Third Pole
region, and systematically estimated the SOC storage (46.18 Pg) at a depth
interval of 0–3 m for the first time. Our results demonstrated that
combining multi-environmental factors with machine-learning techniques (RF,
SVM, and GBRT) can offer an effective and powerful modeling approach for
mapping the spatial patterns of SOC. Furthermore, this study provided
datasets of SOCS and SOC storage for permafrost and seasonally frozen ground
at different soil depths (0–30, 0–50, 0–100, 0–200, and
0–300 cm) across the Third Pole region. These datasets can be used to
modify existing Earth system models and improve prediction accuracy, as well as
also serve as a reference for policymakers to formulate more effective
carbon budget management strategies.</p>
</sec>

      
      </body>
    <back><app-group>
        <supplementary-material position="anchor"><p id="d1e2309">The supplement related to this article is available online at: <inline-supplementary-material xlink:href="https://doi.org/10.5194/essd-13-3453-2021-supplement" xlink:title="pdf">https://doi.org/10.5194/essd-13-3453-2021-supplement</inline-supplementary-material>.</p></supplementary-material>
        </app-group><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d1e2320">The study was completed with cooperation between all authors. TW and
XW conceived the idea of mapping the spatial distribution of the
SOC across the Third Pole regions. DW conducted the data analyses and
wrote the paper. All authors discussed the simulation results and helped
revise the paper.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d1e2326">The authors declare that they have no conflict of interest.</p>
  </notes><notes notes-type="disclaimer"><title>Disclaimer</title>

      <p id="d1e2332">Publisher's note: Copernicus Publications remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.</p>
  </notes><notes notes-type="sistatement"><title>Special issue statement</title>

      <p id="d1e2338">This article is part of the special issue “Extreme environment datasets for the three poles”. It is not associated with a conference.</p>
  </notes><ack><title>Acknowledgements</title><p id="d1e2344">This work was financially supported by the State Key Laboratory of
Cryospheric Science (SKLCS–ZZ–2020), the National Natural Science
Foundations of China (41690142, 41721091, 41771076, 41961144021, 41671070),
and the CAS “Light of West China” Program.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d1e2349">This research has been supported by the National Natural Science Foundation of China (grant nos. 41690142, 41721091, 41771076, 41961144021, and 41671070), the State Key Laboratory of Cryospheric Science (grant no. SKLCS-ZZ-2020), and the West Light Foundation of the Chinese Academy of Sciences (grant no. E029010401).</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d1e2355">This paper was edited by Min Feng and reviewed by two anonymous referees.</p>
  </notes><ref-list>
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<abstract-html><p>Soil organic carbon (SOC) is very important in the vulnerable
ecological environment of the Third Pole; however, data regarding the
spatial distribution of SOC are still scarce and uncertain. Based on
multiple environmental variables and soil profile data from 458 pits (depth
of 0–1&thinsp;m) and 114 cores (depth of 0–3&thinsp;m), this study uses a
machine-learning approach to evaluate the SOC storage and spatial
distribution at a depth interval of 0–3&thinsp;m in the frozen ground area of the
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an area of 3.27×10<sup>6</sup>&thinsp;km<sup>2</sup>, which included 21.69 and
24.49&thinsp;Pg for areas of permafrost and seasonally frozen ground, respectively.
Our results provide information on the storage and patterns of SOCSs at a
1&thinsp;km resolution for areas of frozen ground in the Third Pole region, thus
providing a scientific basis for future studies pertaining to Earth system
models. The dataset is open-access and available at
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