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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-16-597-2020</article-id><title-group><article-title>Evidence from giant-clam <inline-formula><mml:math id="M1" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> of intense El Ninõ–Southern
Oscillation-related variability but reduced frequency <?xmltex \hack{\break}?>3700 years ago</article-title><alt-title>Evidence from giant-clam <inline-formula><mml:math id="M2" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula></alt-title>
      </title-group><?xmltex \runningtitle{Evidence from giant-clam {$\chem{\delta^{{18}}O}$}}?><?xmltex \runningauthor{Y. Hu et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Hu</surname><given-names>Yue</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="yes" rid="aff1 aff2 aff3 aff4">
          <name><surname>Sun</surname><given-names>Xiaoming</given-names></name>
          <email>eessxm@mail.sysu.edu.cn</email>
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff5 aff6">
          <name><surname>Cheng</surname><given-names>Hai</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="yes" rid="aff7 aff8 aff9">
          <name><surname>Yan</surname><given-names>Hong</given-names></name>
          <email>yanhong@ieecas.cn</email>
        </contrib>
        <aff id="aff1"><label>1</label><institution>School of Marine Sciences, Sun Yat-sen University, Guangzhou 510006, China</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Guangdong Provincial Key Laboratory of Marine Resources and Coastal Engineering, Guangzhou 510275, China</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>School of Earth Sciences and Engineering, Sun Yat-sen University, Guangzhou 510275, China</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>Southern Marine Science and Engineering Guangdong Laboratory (Zhuhai), Zhuhai 519000, China</institution>
        </aff>
        <aff id="aff5"><label>5</label><institution>Institute of Global Environmental Change, Xi'an Jiaotong University, Xi'an 710054, China</institution>
        </aff>
        <aff id="aff6"><label>6</label><institution>Department of Earth Sciences, University of Minnesota, Minneapolis, Minnesota 55455, USA</institution>
        </aff>
        <aff id="aff7"><label>7</label><institution>State Key Laboratory of Loess and Quaternary Geology, Institute of Earth Environment, <?xmltex \hack{\break}?>Chinese Academy of Sciences, Xi'an 710061, China</institution>
        </aff>
        <aff id="aff8"><label>8</label><institution>CAS Center for Excellence in Quaternary Science and Global Change, Xi'an 710061, China</institution>
        </aff>
        <aff id="aff9"><label>9</label><institution>OCCES, Qingdao National Laboratory for Marine Science and Technology, Qingdao 266061, China</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Xiaoming Sun (eessxm@mail.sysu.edu.cn) and Hong Yan (yanhong@ieecas.cn)</corresp></author-notes><pub-date><day>1</day><month>April</month><year>2020</year></pub-date>
      
      <volume>16</volume>
      <issue>2</issue>
      <fpage>597</fpage><lpage>610</lpage>
      <history>
        <date date-type="received"><day>10</day><month>May</month><year>2019</year></date>
           <date date-type="rev-request"><day>3</day><month>June</month><year>2019</year></date>
           <date date-type="rev-recd"><day>6</day><month>February</month><year>2020</year></date>
           <date date-type="accepted"><day>20</day><month>February</month><year>2020</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2020 Yue Hu et al.</copyright-statement>
        <copyright-year>2020</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://cp.copernicus.org/articles/16/597/2020/cp-16-597-2020.html">This article is available from https://cp.copernicus.org/articles/16/597/2020/cp-16-597-2020.html</self-uri><self-uri xlink:href="https://cp.copernicus.org/articles/16/597/2020/cp-16-597-2020.pdf">The full text article is available as a PDF file from https://cp.copernicus.org/articles/16/597/2020/cp-16-597-2020.pdf</self-uri>
      <abstract><title>Abstract</title>
    <p id="d1e194">Giant clams (<italic>Tridacna</italic>) are the largest marine bivalves, and their carbonate shells
can be used for high-resolution paleoclimate reconstructions. In this
contribution, <inline-formula><mml:math id="M3" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M4" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">shell</mml:mi></mml:msub></mml:math></inline-formula> was used to estimate climatic
variation in the Xisha Islands of the South China Sea. We first evaluate sea
surface temperature (SST) and sea surface salinity (SSS) influence on the
modern resampled monthly (<inline-formula><mml:math id="M5" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula>-monthly) resolution of <italic>Tridacna gigas</italic> <inline-formula><mml:math id="M6" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M7" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">shell</mml:mi></mml:msub></mml:math></inline-formula>. The results obtained reveal that <inline-formula><mml:math id="M8" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M9" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">shell</mml:mi></mml:msub></mml:math></inline-formula> seasonal variation is mainly controlled by SST and
appears to be insensitive to local SSS change. Thus, the <inline-formula><mml:math id="M10" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>
of <italic>Tridacna</italic> shells can be roughly used as a proxy of local SST: a 1 ‰ <inline-formula><mml:math id="M11" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M12" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">shell</mml:mi></mml:msub></mml:math></inline-formula> change is roughly equal to
4.41 <inline-formula><mml:math id="M13" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C of SST. The <inline-formula><mml:math id="M14" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula>-monthly <inline-formula><mml:math id="M15" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> of a 40-year-old
<italic>Tridacna</italic> <italic>squamosa</italic> (<inline-formula><mml:math id="M16" display="inline"><mml:mrow><mml:mn mathvariant="normal">3673</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">28</mml:mn></mml:mrow></mml:math></inline-formula> BP) from the North Reef of the Xisha Islands was analyzed
and compared with the modern specimen. The difference between the average
<inline-formula><mml:math id="M17" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> of the fossil <italic>Tridacna</italic> shell (<inline-formula><mml:math id="M18" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M19" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.34</mml:mn></mml:mrow></mml:math></inline-formula> ‰) and the modern <italic>Tridacna</italic> specimen (<inline-formula><mml:math id="M20" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M21" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.15</mml:mn></mml:mrow></mml:math></inline-formula> ‰) probably implies a warm climate, roughly
0.84 <inline-formula><mml:math id="M22" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C, 3700 years ago. The seasonal variation 3700 years ago
was slightly lower than that suggested by modern instrumental data, and the
transition between warm and cold seasons was rapid. Higher amplitudes of
reconstructed <inline-formula><mml:math id="M23" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula>-monthly and <inline-formula><mml:math id="M24" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula>-annual SST anomalies imply an enhanced climate
variability during this warm period. Investigation of the El
Ninõ–Southern Oscillation (ENSO) variation (based on the reconstructed
SST series) indicates reduced ENSO frequency but increased ENSO-related
variability and extreme El Ninõ winter events 3700 years ago.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d1e462">The carbonate skeletons of marine organisms, such as corals, foraminifers,
and mollusks, have been widely used to reconstruct environmental variation
(Aharon,
1983; Batenburg et al., 2011; Ourbak et al., 2006; Schöne et al., 2005;
Wanamaker et al., 2011; Yamanashi et al., 2016; Yu et al., 2005a, b). Due to
their high sensitivity to the surrounding environment and the fact that they preserve
high-resolution biochemical variations in their skeleton, these marine
biogenic carbonates can shed light on past climate dynamics. Bivalves, which
are considered to be high-resolution records, can give us more precise
details on environmental variation. Giant clams (<italic>Tridacna</italic>), as they are the largest
bivalves and usually<?pagebreak page598?> live in tropical coral reefs, have received increasing
scientific attention in recent decades
(Pätzold
et al., 1991; Watanabe et al., 1999, 2004; Elliot et al.,
2009; Ayling et al., 2015; Agbaje et al., 2017). This is because their
shells have many favorable properties for recording local environmental
changes: they have dense and well-preserved aragonite shells, fast growth
rates (up to 1 cm yr<inline-formula><mml:math id="M25" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) with clear annual growth lines, and a longevity
of several decades to about 100 years. These characteristics allow
<italic>Tridacna</italic> to provide ideal material for high-resolution reconstruction of
interannual, seasonal, or even subseasonal climatic variations.</p>
      <p id="d1e483">Previous studies indicate that <italic>Tridacna</italic> species grow their shells in oxygen isotopic
(<inline-formula><mml:math id="M26" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>) equilibrium with the surrounding seawater
(Aharon,
1991; Aharon and Chappell, 1986; Pätzold et al., 1991; Romanek and
Grossman, 1989; Watanabe et al., 1999). The reliability of reconstructing
temperature and seawater <inline-formula><mml:math id="M27" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> variability is not reduced and
does not show obvious increasing or decreasing trends due to <italic>Tridacna</italic>'s ontogenetic
growth (Welsh et al., 2011).
These studies imply that <inline-formula><mml:math id="M28" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M29" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">shell</mml:mi></mml:msub></mml:math></inline-formula> can be used to
reconstruct Late Quaternary sea-level and climatic changes. Indeed, the
<inline-formula><mml:math id="M30" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> of marine biogenic carbonates is influenced  not only by
sea surface temperature (SST) but also by surrounding seawater <inline-formula><mml:math id="M31" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>. Meanwhile, seawater <inline-formula><mml:math id="M32" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> has a close correlation
with sea surface salinity (SSS), which is affected by tropical evaporation
and the precipitation balance. Nonetheless, the influence of SST and SSS on
<inline-formula><mml:math id="M33" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M34" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">shell</mml:mi></mml:msub></mml:math></inline-formula> is unclear due to the distinct variation of
temperature and salinity in different areas. For example, the <inline-formula><mml:math id="M35" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M36" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">shell</mml:mi></mml:msub></mml:math></inline-formula> of<italic> Tridacna</italic> from southwestern Japan can be directly used as a
proxy of SST (Yamanashi
et al., 2016), while the <inline-formula><mml:math id="M37" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M38" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">shell</mml:mi></mml:msub></mml:math></inline-formula> of Indonesian
<italic>Tridacna</italic> has been interpreted to be a contribution of 71.4 % from SST and 28.6 % from SSS (Arias-Ruiz et
al., 2017). Thus, local calibration from modern <italic>Tridacna</italic> is important in determining
the relationship of <inline-formula><mml:math id="M39" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M40" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">shell</mml:mi></mml:msub></mml:math></inline-formula>, SST, and SSS.</p>
      <p id="d1e673">Climatic variation in the Meghalayan (which began 4200 BP in the Late
Holocene) has significant impacts on human society and ecosystem
development. However, early Meghalayan climatic conditions in SE Asia around
the South China Sea still remain poorly understood. Shi (1994) reviewed data
from various sources (such as ice cores, inland lakes, paleosols in loess
and eolian sands, sea-level fluctuations, palynological and botanical
studies) in China and found that the early Meghalayan is a part of the Holocene
megathermal period (8 to 3 kyr BP). Sediments in the South China Sea also
imply that the temperature might have been relatively higher in the early
Meghalayan than in the present
(Ouyang
et al., 2016). However, these studies are low-resolution, and
high-resolution records under interannual climate variation are rare. With
global warming and numerous climatic disasters happening in recent decades,
climatic conditions in the early Meghalayan could serve as an analogue to modern
problems and have received increasing scientific attention
(Schirrmacher
et al., 2019; Scuderi et al., 2019; Toth and Aronson, 2019; Zhang et al.,
2018). Recent studies of bivalve mollusk specimen (<italic>Arctica islandica</italic>) oxygen isotopes show
high-resolution data with seasonal signals
(Schöne
et al., 2005; Wanamaker et al., 2011). High-resolution isotopic geochemical
data from <italic>Tridacna</italic> may also provide detailed insight into climatic variations in
the early Meghalayan.</p>
      <p id="d1e682">Furthermore, El Ninõ–Southern Oscillation (ENSO) is widely accepted as
the main source of interannual climatic variability in the Pacific Ocean.
Previous studies suggest that the impacts of ENSO activity are not limited
to tropical areas but might also apply to global atmospheric circulation
through the heating-up of the tropical atmosphere
(Cane, 2005). Thus, reconstructing ENSO is
very important for understanding its dynamics and predicting future change.
Many early studies on ENSO behaviors were constructed with low-resolution
proxy data using deposition events (Rodbell et al., 1999; Koutavas and
Joanides, 2012) or ice cores (Thompson et al., 1995) in order to reveal
ENSO variance over thousands of years. However, the periodicity of ENSO is
short, making it difficult to use these low-resolution data to precisely
determine the strength and variability of ENSO activity. Recent studies
focus on seasonal or monthly data to examine precise variation of ENSO
activity
(Arias-Ruiz
et al., 2017; Ayling et al., 2015; McGregor et al., 2013; Welsh et al.,
2011; Yan et al., 2017), but those fragmental data cannot fully explain the
Holocene ENSO dynamics. Therefore, fragments from different times according
to different high-resolution samples are needed and can provide an
integrated framework for examining ENSO theory and models of the Holocene.
In addition, studies on the Middle to Late Holocene ENSO evolution yield
controversial findings: coral records show a reduced ENSO variability around
the early Meghalayan
(Tudhope
et al., 2001; McGregor et al., 2013; Cobb et al., 2014; Woodroffe et al.,
2003). Other carbonate species like fossil mollusk shells suggest that ENSO
variance was severely damped <inline-formula><mml:math id="M41" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">4000</mml:mn></mml:mrow></mml:math></inline-formula> years ago
(Carré et al., 2014). Yet other studies indicate
strengthening ENSO activity at 4 to 3 ka
(Duprey et al., 2014; Yang
et al., 2019). Thus, this further points to the importance of
high-resolution isotopic geochemical data such as from <italic>Tridacna</italic> in unraveling the
dynamics of ENSO.</p>
      <p id="d1e699">This study aims to evaluate seasonality, climate variation, and ENSO
activity in the Xisha Islands of the northern South China Sea, based on two
high-resolution <inline-formula><mml:math id="M42" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M43" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">shell</mml:mi></mml:msub></mml:math></inline-formula> profiles of modern and fossil
<italic>Tridacna</italic>. The study area is situated in the northwest margin of the west Pacific
warm pool (WPWP), and the local climate is widely accepted to be directly
responsive to ENSO activity
(Mitsuguchi
et al., 2008; Yan et al., 2010). A modern <italic>Tridacna</italic> <italic>gigas</italic> shell was first used to estimate
the extent of environmental control (SST and SSS) on <inline-formula><mml:math id="M44" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M45" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">shell</mml:mi></mml:msub></mml:math></inline-formula>, and a new SST–<inline-formula><mml:math id="M46" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M47" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">shell</mml:mi></mml:msub></mml:math></inline-formula> linear
regression was proposed. Subsequently, a fossil <italic>Tridacna</italic> <italic>squamosa</italic> (which lived to 40 years)
was used to reconstruct seasonality and climatic variation, and the obtained
results are compared with the modern species and meteorological
observations. Finally,<?pagebreak page599?> ENSO activity and extreme El Ninõ winter events
were discussed, using the re-established SST anomalies.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1" specific-use="star"><?xmltex \currentcnt{1}?><label>Figure 1</label><caption><p id="d1e783"><bold>(a)</bold>  Maps of the South China Sea (source: © Google Maps),
with the location of the sample study area in the Xisha Islands. <bold>(b)</bold> Photo
of original <italic>Tridacna</italic> A5. A slice was cut through the red line of <italic>Tridacna</italic> A5. <bold>(c)</bold> From the
slice, different parts can be seen (hinge, inner layer, and outer layer);
the red lines are the sampling lines for <inline-formula><mml:math id="M48" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> analysis. <bold>(d)</bold> Meteorological observations from the Xisha Islands from 1994 to 2005:
<inline-formula><mml:math id="M49" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula>-monthly average air temperature (AT) and sea surface temperature (SST)
with error bars revealing the highest and the lowest temperatures for that
month; <bold>(e)</bold> <inline-formula><mml:math id="M50" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula>-monthly average rainfall and sea surface salinity (SSS) with a
standard deviation (<inline-formula><mml:math id="M51" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mi mathvariant="italic">σ</mml:mi></mml:mrow></mml:math></inline-formula>).</p></caption>
        <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://cp.copernicus.org/articles/16/597/2020/cp-16-597-2020-f01.png"/>

      </fig>

</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Materials and methods</title>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>Regional setting</title>
      <p id="d1e865">The South China Sea is located in the northwest of WPWP (Fig. 1a), and its
interannual climate is closely related to ENSO activities
(Mitsuguchi
et al., 2008; Yan et al., 2010). The Xisha Islands in the northern South
China Sea are substantially influenced by two contrasting Asian monsoons from
opposite directions: the Asian summer monsoon from the southwest and the
Asian winter monsoon from the northeast. These two monsoons provide distinct
seasonal SST for the <italic>Tridacna</italic> populating the coral reefs of the Xisha Islands. Our
sample (<italic>Tridacna</italic> <italic>squamosa</italic> A5) was collected in the North Reef (17<inline-formula><mml:math id="M52" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>05<inline-formula><mml:math id="M53" display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula> N, 111<inline-formula><mml:math id="M54" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>30<inline-formula><mml:math id="M55" display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula> E), whilst the modern
<italic>Tridacna gigas</italic> sample YX1 (studied previously by Yan, 2013) was acquired from Yongxing
Island (16<inline-formula><mml:math id="M56" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>50<inline-formula><mml:math id="M57" display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula> N, 112<inline-formula><mml:math id="M58" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>50<inline-formula><mml:math id="M59" display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula> E), which is about 90 km away from the North Reef (Fig. 1b).</p>
      <p id="d1e954">Meteorological observations (atmosphere temperature, AT; SST; SSS; rainfall)
were obtained from the Institute of Meteorology of China, which has taken
records for the Xisha Islands since 1958. In order to compare geochemical
analyses with monthly environmental data, isotopic records and
meteorological observations were resampled according to the method suggested
by Schöne and Fiebig (2009). They used bivalve shells (<italic>Arctica islandica</italic>) to reconstruct
the climate, examining that seven points per year would minimize the influence of
different growth rates throughout the year; meanwhile, only the annual
sample number for which more than or equal to seven existed could be used.
As the yearly minimum number of <inline-formula><mml:math id="M60" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M61" display="inline"><mml:msub><mml:mi/><mml:mrow><mml:mi>Y</mml:mi><mml:mi>X</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msub></mml:math></inline-formula> is seven, 1 year
includes 7 resampled months (<inline-formula><mml:math id="M62" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula> months). Figure 1d shows the <inline-formula><mml:math id="M63" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula>-monthly
average time series of AT, SST, SSS, and rainfall, and their standard
deviations (SDs). The mean SST is 27.77 <inline-formula><mml:math id="M64" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C, and AT shows a highly
positive correlation with SST (<inline-formula><mml:math id="M65" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.98</mml:mn></mml:mrow></mml:math></inline-formula>), but it is about 0.7 <inline-formula><mml:math id="M66" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C
lower. The SST seasonality is 5.33 <inline-formula><mml:math id="M67" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C, with the lowest value and
highest value occurring in first and fourth <inline-formula><mml:math id="M68" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula> months, respectively. It is
excluded that river runoff effects on SSS as the Xisha Islands are about 300 km away from the continent (Hainan Island). SSS varies from 33.25 ‰ to 33.81 ‰, and the change is mainly dominated by rainfall:
higher SSS in dry winters and lower SSS in wet summers (Fig. 1e).</p>
      <p id="d1e1047">The SST data in the North Reef are acquired from NOAA HadISST, a global
monthly SST data with a spatial resolution of <inline-formula><mml:math id="M69" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>×</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>
(data grid cell includes both the North Reef and Yongxing Island) from 1982
to 2017. Ninõ <inline-formula><mml:math id="M70" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>+</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula> SST data are obtained from NOAA monthly data
between 1982 and 2017 (<uri>http://www.cpc.ncep.noaa.gov/data/indices/sstoi.indices</uri>; last access:
31 December 2017).</p>
</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>Shell descriptions and sample preparation</title>
      <p id="d1e1089">The original fossil <italic>Tridacna</italic> was cut from the umbo to the ventral (red line in Fig. 1b), where the thickness of the inner layer is the greatest. From the slice
we cut, the fossil <italic>Tridacna</italic> has three different zones (Fig. 1c): the inner layer,
the outer layer, and the hinge. A recent study investigating the architecture
of <italic>Tridacna</italic> shells shows a crossed lamellar microstructure with a strong fiber
texture with optimized mechanical performance (Agbaje et al., 2017), and the
mineralization of inner layer and outer layer is independent of each other
(Gannon et al., 2017). The inner layer is chosen for the analyses because of
its clear growth layer and well-preserved shell. Published data also reveal
that inner layer <inline-formula><mml:math id="M71" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> values are unaffected by ontogeny
(Welsh et al., 2011) and could better
reflect actual <inline-formula><mml:math id="M72" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> than the outer layer or the hinge
(Pätzold et al., 1991;
Elliot et al., 2009).</p>
      <p id="d1e1127">The determination of radiocarbon age was performed at the Institute of Earth
Environment of Chinese Academy of Sciences. The <inline-formula><mml:math id="M73" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> accelerator mass
spectrometry data revealed that the fossil <italic>Tridacna</italic> <italic>gigas</italic> age is <inline-formula><mml:math id="M74" display="inline"><mml:mrow><mml:mn mathvariant="normal">3437</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">28</mml:mn></mml:mrow></mml:math></inline-formula> yr BP.
Due to the lack of an obvious “reservoir effect” in the dating results of
modern <italic>Tridacna</italic> shells, the atmospheric <inline-formula><mml:math id="M75" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> yield model is used for
calibration (Liu et al., 2019). The calibrated date (<inline-formula><mml:math id="M76" display="inline"><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="italic">σ</mml:mi></mml:mrow></mml:math></inline-formula>) ranges from 3733 to 3613 cal BP, with the median date is 3691 cal BP by
using the IntCal13 of Radiocarbon Calibration Program CALIB 7.10
(<uri>http://calib.org</uri>, last access: 31 December 2018). Both X-ray diffraction (XRD) and laser Raman
spectrometers results show aragonite, and no other substances are found.</p>
</sec>
<sec id="Ch1.S2.SS3">
  <label>2.3</label><title>Stable isotopes</title>
      <p id="d1e1197">Each stable isotope sample was micromilled parallel to the growth layer with
1 mm long and 100 <inline-formula><mml:math id="M77" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m deep under a micro-drill automated system
(Micro-Drill New Wave Research, Olympus SZ 61) in the Isotope Laboratory of
Xi'an Jiaotong University, China. Four intervals were used according to the
growth rates: 100 <inline-formula><mml:math id="M78" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m (<inline-formula><mml:math id="M79" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> to 268), 150 <inline-formula><mml:math id="M80" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m (<inline-formula><mml:math id="M81" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">26</mml:mn></mml:mrow></mml:math></inline-formula>9 to 481),
200 <inline-formula><mml:math id="M82" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m (<inline-formula><mml:math id="M83" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">482</mml:mn></mml:mrow></mml:math></inline-formula> to 657), and 300 <inline-formula><mml:math id="M84" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m (<inline-formula><mml:math id="M85" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">658</mml:mn></mml:mrow></mml:math></inline-formula> to 765)
in a transect from adult to ontogenetically younger shell, respectively (Fig. 2a).</p>
      <p id="d1e1289">The <inline-formula><mml:math id="M86" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> of the <italic>Tridacna</italic> was analyzed in the Isotope Laboratory of
Xi'an Jiaotong University, using the Thermo Finnigan MAT-253 mass
spectrometer fitted with the Kiel IV Carbonate Device. All results were
reported in per mil (‰), relative to the Vienna Pee Dee
Belemnite (VPDB) standard. The standard GBW04405, which has been compared
with international standard NBS-19, was added to the analyses every 10 to 20
samples to check reproducibility. The average value of standard powder in
<inline-formula><mml:math id="M87" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> is <inline-formula><mml:math id="M88" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">8.49</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.14</mml:mn></mml:mrow></mml:math></inline-formula> ‰. Duplicate
measurements of GBW04405 standards and samples showed long-term
reproducibilities (<inline-formula><mml:math id="M89" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mi mathvariant="italic">σ</mml:mi></mml:mrow></mml:math></inline-formula>) of less than 0.14 ‰ and
0.05 ‰, respectively.</p>
      <?pagebreak page600?><p id="d1e1345">Published data of the modern <italic>Tridacna</italic> <italic>gigas</italic> shell YX1 were used to investigate the
relationship between <italic>Tridacna</italic> <inline-formula><mml:math id="M90" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> and the local climate
(Yan et al., 2013). YX1 was collected
from Yongxing Island, 90 km ESE of the North Reef (Fig. 1b). The internal
carbonate standard of modern <italic>Tridacna</italic> YX1 <inline-formula><mml:math id="M91" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> (VPDB) was also
GBW04405; the standards and samples had reproducibilities (<inline-formula><mml:math id="M92" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mi mathvariant="italic">σ</mml:mi></mml:mrow></mml:math></inline-formula>) of
better than 0.08 ‰ and 0.06 ‰,
respectively.</p>
</sec>
<sec id="Ch1.S2.SS4">
  <label>2.4</label><title>Data processing and analyses</title>
      <p id="d1e1405">PearsonT3 (Version 2.2, January 2017) was used to test the correlation
coefficient. Successive sets of 100 years' length were calculated to
estimate monthly insolation using the software AnalySeries 2.0.8
(Laskar et al., 2004),
which contained the probable life span of <italic>Tridacna</italic> (A5) considering <inline-formula><mml:math id="M93" display="inline"><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="italic">σ</mml:mi></mml:mrow></mml:math></inline-formula>
confidence intervals of corrected age. The timescale of modern insolation
ranges from 1918 to 2017, while the past ranges from 3722 to 3623 BP.
Statistical analyses were performed with the software Origin 2018 and PAST
(Paleontological Statistics) 3.18. The isotopic records, meteorological
observations, and insolation data were resampled for seven points per year
using the software AnalySeries 2.0.8, as used for other studies in
sclerochronology
(Schöne
and Fiebig, 2009; Wanamaker et al., 2011).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2" specific-use="star"><?xmltex \currentcnt{2}?><label>Figure 2</label><caption><p id="d1e1423"><bold>(a)</bold> The <inline-formula><mml:math id="M94" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> profiles of A5. <bold>(b)</bold> The <inline-formula><mml:math id="M95" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M96" display="inline"><mml:msub><mml:mi/><mml:mrow><mml:mi mathvariant="normal">A</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:msub></mml:math></inline-formula> profiles chronology scale after resampling the data; the
dotted lines indicate the average annual maximum and minimum.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://cp.copernicus.org/articles/16/597/2020/cp-16-597-2020-f02.png"/>

        </fig>

</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Results</title>
<sec id="Ch1.S3.SS1">
  <label>3.1</label><?xmltex \opttitle{{$\protect\chem{\delta^{{18}}O}$}${}_{\mathrm{A5}}$ record}?><title><inline-formula><mml:math id="M97" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M98" display="inline"><mml:msub><mml:mi/><mml:mrow><mml:mi mathvariant="normal">A</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:msub></mml:math></inline-formula> record</title>
      <p id="d1e1514">Seasonal cycles are distinct in the <inline-formula><mml:math id="M99" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M100" display="inline"><mml:msub><mml:mi/><mml:mrow><mml:mi mathvariant="normal">A</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:msub></mml:math></inline-formula> profile (Fig. 2, Table S2), which indicate that this <italic>Tridacna</italic> lived for 40 years. The <inline-formula><mml:math id="M101" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M102" display="inline"><mml:msub><mml:mi/><mml:mrow><mml:mi mathvariant="normal">A</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:msub></mml:math></inline-formula> range from <inline-formula><mml:math id="M103" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2.07</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">‰</mml:mi></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M104" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.14</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">‰</mml:mi></mml:mrow></mml:math></inline-formula> (mean <inline-formula><mml:math id="M105" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.35</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">‰</mml:mi></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M106" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">765</mml:mn></mml:mrow></mml:math></inline-formula>). After resampling into seven points per year,
<inline-formula><mml:math id="M107" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M108" display="inline"><mml:msub><mml:mi/><mml:mrow><mml:mi mathvariant="normal">A</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:msub></mml:math></inline-formula> varied from <inline-formula><mml:math id="M109" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.98</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">‰</mml:mi></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M110" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.29</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">‰</mml:mi></mml:mrow></mml:math></inline-formula>
(mean <inline-formula><mml:math id="M111" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.34</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">‰</mml:mi></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M112" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">281</mml:mn></mml:mrow></mml:math></inline-formula>).</p>
</sec>
<?pagebreak page601?><sec id="Ch1.S3.SS2">
  <label>3.2</label><title>Sclerochronology</title>
      <p id="d1e1704">From the shell section, dark–bright line couples (each couple represents 1
year) can be seen clearly (Fig. 3a). Following the <inline-formula><mml:math id="M113" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M114" display="inline"><mml:msub><mml:mi/><mml:mrow><mml:mi mathvariant="normal">A</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:msub></mml:math></inline-formula>
profiles, these short, dark lines (transparent) correspond to higher <inline-formula><mml:math id="M115" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M116" display="inline"><mml:msub><mml:mi/><mml:mrow><mml:mi mathvariant="normal">A</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:msub></mml:math></inline-formula> values, which means that <italic>Tridacna</italic> grew in lower temperature (cold
seasons such as December to February). In contrast, lower <inline-formula><mml:math id="M117" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M118" display="inline"><mml:msub><mml:mi/><mml:mrow><mml:mi mathvariant="normal">A</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:msub></mml:math></inline-formula> values lie in the long bright lines (opaque), corresponding
to the higher temperatures (warm seasons such as March to November). Annual
growth rates can be calculated with the <inline-formula><mml:math id="M119" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M120" display="inline"><mml:msub><mml:mi/><mml:mrow><mml:mi mathvariant="normal">A</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:msub></mml:math></inline-formula> seasonal
cycles and interval distance (Fig. 3c). The results show that growth rates
were higher when <italic>Tridacna</italic> A5 was young, reaching 5 mm yr<inline-formula><mml:math id="M121" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>. The growth then
slowed down and stabilized to 1–2 mm yr<inline-formula><mml:math id="M122" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> after the <italic>Tridacna</italic> had matured (Fig. 3c). Furthermore, daily increments visible as pairs of dark and bright
increments can be seen under the microscope (Fig. 3b). A fragment was chosen
where <inline-formula><mml:math id="M123" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> values were nearly the highest in a particular year.
This period fell during the cold season, when the daily growth increment was
about 4.5 <inline-formula><mml:math id="M124" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m. When the temperature rose as warm season began,
<italic>Tridacna</italic> grew faster, with daily growth increment reaching up to 8 <inline-formula><mml:math id="M125" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m. This
situation occurred throughout the <italic>Tridacna</italic>'s life (Yan et al., 2020). In general,
<italic>Tridacna</italic> A5 grew faster in warm seasons and slower in cold seasons.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3"><?xmltex \currentcnt{3}?><label>Figure 3</label><caption><p id="d1e1878"><bold>(a)</bold> Dark–bright lines consistent with <inline-formula><mml:math id="M126" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M127" display="inline"><mml:msub><mml:mi/><mml:mrow><mml:mi mathvariant="normal">A</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:msub></mml:math></inline-formula>
profiles. The blue line represents the sampling line. Dark and bright lines
correspond to high <inline-formula><mml:math id="M128" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> (cold seasons) and low <inline-formula><mml:math id="M129" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> (warm seasons), respectively. The distance between the dashed
lines represents one year, during which the <italic>Tridacna</italic> grew. <bold>(b)</bold> Under the microscope,
daily increments (a dark coupled with a bright increment) are smaller when
temperature is cold but larger when temperature is higher. <bold>(c)</bold> Growth rates
(line 2 in Fig. 1c) in fossil <italic>Tridacna</italic> A5.</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://cp.copernicus.org/articles/16/597/2020/cp-16-597-2020-f03.jpg"/>

        </fig>

      <p id="d1e1952">The SST observation in the Xisha Islands suggested that the first <inline-formula><mml:math id="M130" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula> month
nearly corresponds to the lowest SST. Thus, the highest <inline-formula><mml:math id="M131" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> of
each cycle was chosen as the beginning of a year.
<?xmltex \hack{\newpage}?></p>
</sec>
</sec>
<?pagebreak page602?><sec id="Ch1.S4">
  <label>4</label><title>Discussion</title>
<sec id="Ch1.S4.SS1">
  <label>4.1</label><?xmltex \opttitle{Relation of SST, SSS, and {$\protect\chem{\delta^{{18}}O}$} of modern \textit{Tridacna}}?><title>Relation of SST, SSS, and <inline-formula><mml:math id="M132" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> of modern <italic>Tridacna</italic></title>
      <p id="d1e2008">Previous studies have demonstrated that <italic>Tridacna</italic> is in oxygen isotopic equilibrium
with the surrounding seawater (Aharon, 1983;
Watanabe et al., 1999), which also holds true for <italic>Tridacna</italic> in the South China Sea
(Yan et al., 2013). Biogenic carbonate
<inline-formula><mml:math id="M133" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> values show linear correlations with SST and seawater
<inline-formula><mml:math id="M134" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M135" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">water</mml:mi></mml:msub></mml:math></inline-formula>
(Aharon
and Chappell, 1986; Pätzold et al., 1991; Romanek and Grossman, 1989).
The <inline-formula><mml:math id="M136" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M137" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">shell</mml:mi></mml:msub></mml:math></inline-formula>–SST–<inline-formula><mml:math id="M138" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M139" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">water</mml:mi></mml:msub></mml:math></inline-formula> Eq. (1) of
Grossman and Ku (1986) is adopted, as it is widely used in calculations for
tropical aragonite mollusk species. Meanwhile, <inline-formula><mml:math id="M140" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M141" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">water</mml:mi></mml:msub></mml:math></inline-formula>
has a positive relationship with SSS, and Eq. (2), which was established
using seawater in the northern South China Sea (Hong et al., 1997), is
chosen for the calculation. We merge Eqs. (1) and (2) into <inline-formula><mml:math id="M142" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M143" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">shell</mml:mi></mml:msub></mml:math></inline-formula>–SST–SSS (Eq. 3) to roughly simplify the environmental
control on the <inline-formula><mml:math id="M144" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M145" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">shell</mml:mi></mml:msub></mml:math></inline-formula>.

                <disp-formula specific-use="gather" content-type="numbered"><mml:math id="M146" display="block"><mml:mtable displaystyle="true"><mml:mlabeledtr id="Ch1.E1"><mml:mtd><mml:mtext>1</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mi mathvariant="normal">SST</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mo>(</mml:mo><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mrow class="unit"><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:mn mathvariant="normal">21.8</mml:mn><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4.69</mml:mn><mml:mo>(</mml:mo><mml:msub><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow><mml:mi mathvariant="normal">shell</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow><mml:mi mathvariant="normal">water</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E2"><mml:mtd><mml:mtext>2</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:msub><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow><mml:mi mathvariant="normal">water</mml:mi></mml:msub><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mo>(</mml:mo><mml:mi mathvariant="normal">‰</mml:mi><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.23</mml:mn><mml:mo>×</mml:mo><mml:mi mathvariant="normal">SSS</mml:mi><mml:mo>-</mml:mo><mml:mn mathvariant="normal">7.58</mml:mn></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:mi mathvariant="normal">SST</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mo>(</mml:mo><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mrow class="unit"><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">13.75</mml:mn><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4.69</mml:mn><mml:mo>×</mml:mo><mml:msub><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow><mml:mi mathvariant="normal">shell</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1.08</mml:mn><mml:mo>×</mml:mo><mml:mi mathvariant="normal">SSS</mml:mi></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

            The <inline-formula><mml:math id="M147" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M148" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">shell</mml:mi></mml:msub></mml:math></inline-formula> reflects a combination of SST and SSS
variation. In order to quantify more precisely the relation between those
factors and <inline-formula><mml:math id="M149" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M150" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">shell</mml:mi></mml:msub></mml:math></inline-formula>, two <inline-formula><mml:math id="M151" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> profiles are
calculated (Fig. 4a): <inline-formula><mml:math id="M152" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M153" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">SST</mml:mi></mml:msub></mml:math></inline-formula> (constant SSS but varying
SST) and <inline-formula><mml:math id="M154" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M155" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">SSS</mml:mi></mml:msub></mml:math></inline-formula> (constant SST but varying SSS). For the
purpose of minimizing the influence of extreme values, mean <inline-formula><mml:math id="M156" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula>-monthly
<inline-formula><mml:math id="M157" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> profiles (<inline-formula><mml:math id="M158" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M159" display="inline"><mml:msub><mml:mi/><mml:mrow><mml:mi>Y</mml:mi><mml:mi>X</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msub></mml:math></inline-formula>, <inline-formula><mml:math id="M160" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M161" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">SST</mml:mi></mml:msub></mml:math></inline-formula>, and <inline-formula><mml:math id="M162" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M163" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">SSS</mml:mi></mml:msub></mml:math></inline-formula>) are used for the comparison. The
results show that <inline-formula><mml:math id="M164" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M165" display="inline"><mml:msub><mml:mi/><mml:mrow><mml:mi>Y</mml:mi><mml:mi>X</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msub></mml:math></inline-formula>, <inline-formula><mml:math id="M166" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M167" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">SST</mml:mi></mml:msub></mml:math></inline-formula>, and
<inline-formula><mml:math id="M168" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M169" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">SSS</mml:mi></mml:msub></mml:math></inline-formula> profiles are in the range of <inline-formula><mml:math id="M170" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.57</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">‰</mml:mi></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M171" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.52</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">‰</mml:mi></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M172" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.48</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">‰</mml:mi></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M173" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.58</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">‰</mml:mi></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M174" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.07</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">‰</mml:mi></mml:mrow></mml:math></inline-formula> to
<inline-formula><mml:math id="M175" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.19</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">‰</mml:mi></mml:mrow></mml:math></inline-formula>, respectively. It is obvious that <inline-formula><mml:math id="M176" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M177" display="inline"><mml:msub><mml:mi/><mml:mrow><mml:mi>Y</mml:mi><mml:mi>X</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msub></mml:math></inline-formula> and <inline-formula><mml:math id="M178" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M179" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">SST</mml:mi></mml:msub></mml:math></inline-formula> show the same trend and are
highly correlated (<inline-formula><mml:math id="M180" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.91</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M181" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">7</mml:mn></mml:mrow></mml:math></inline-formula>; <inline-formula><mml:math id="M182" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.78</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M183" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">77</mml:mn></mml:mrow></mml:math></inline-formula>), but the
variation range in <inline-formula><mml:math id="M184" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M185" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">SSS</mml:mi></mml:msub></mml:math></inline-formula> is only 14 % of <inline-formula><mml:math id="M186" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M187" display="inline"><mml:msub><mml:mi/><mml:mrow><mml:mi>Y</mml:mi><mml:mi>X</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msub></mml:math></inline-formula>. Therefore, this indicates that the <inline-formula><mml:math id="M188" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M189" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">shell</mml:mi></mml:msub></mml:math></inline-formula> in the Xisha Islands corresponds predominantly to
seasonal SST variation. In addition, the calculated <inline-formula><mml:math id="M190" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M191" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">predicted</mml:mi></mml:msub></mml:math></inline-formula> (by using both local actual SST and SSS) was used to
compare with <inline-formula><mml:math id="M192" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M193" display="inline"><mml:msub><mml:mi/><mml:mrow><mml:mi>Y</mml:mi><mml:mi>X</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msub></mml:math></inline-formula> (Table S1 in the Supplement). The <inline-formula><mml:math id="M194" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M195" display="inline"><mml:msub><mml:mi/><mml:mrow><mml:mi>Y</mml:mi><mml:mi>X</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msub></mml:math></inline-formula> and <inline-formula><mml:math id="M196" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M197" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">predicted</mml:mi></mml:msub></mml:math></inline-formula> profiles have nearly
the same mean value (1.15 ‰ and 1.14 ‰, respectively), and their positive correlation (<inline-formula><mml:math id="M198" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.81</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M199" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">77</mml:mn></mml:mrow></mml:math></inline-formula>) indicates that the local <italic>Tridacna</italic> precipitates its shell in oxygen
isotopic equilibrium.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4" specific-use="star"><?xmltex \currentcnt{4}?><label>Figure 4</label><caption><p id="d1e2937"><bold>(a)</bold> Predicted <inline-formula><mml:math id="M200" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula>-monthly <inline-formula><mml:math id="M201" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> profiles under constant
SSS (blue line) and constant SST (green line) conditions, and <inline-formula><mml:math id="M202" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> of YX1 (red line). Dotted lines represent the maximum and minimum
of the <inline-formula><mml:math id="M203" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula>-monthly <inline-formula><mml:math id="M204" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> profiles. <bold>(b)</bold> <inline-formula><mml:math id="M205" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula>-monthly <inline-formula><mml:math id="M206" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M207" display="inline"><mml:msub><mml:mi/><mml:mrow><mml:mi>Y</mml:mi><mml:mi>X</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msub></mml:math></inline-formula> and <inline-formula><mml:math id="M208" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M209" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">predicted</mml:mi></mml:msub></mml:math></inline-formula>. The <bold>(c)</bold> <inline-formula><mml:math id="M210" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula>-monthly <inline-formula><mml:math id="M211" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M212" display="inline"><mml:msub><mml:mi/><mml:mrow><mml:mi>Y</mml:mi><mml:mi>X</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msub></mml:math></inline-formula> and <inline-formula><mml:math id="M213" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M214" display="inline"><mml:msub><mml:mi/><mml:mrow><mml:mi mathvariant="normal">A</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:msub></mml:math></inline-formula>, and the dotted lines
represent mean values. <bold>(d)</bold> Different insolation 3700 years ago and in the
past 100 years. <bold>(e)</bold> Mean seasonal cycles of reconstructed SST<inline-formula><mml:math id="M215" display="inline"><mml:msub><mml:mi/><mml:mrow><mml:mi mathvariant="normal">A</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:msub></mml:math></inline-formula> and
North Reef SST. <bold>(f)</bold> Different SST profiles: predicted SST with varied SSS
(blue line), constant SSS (green line), and actual SST (red line),
respectively.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://cp.copernicus.org/articles/16/597/2020/cp-16-597-2020-f04.png"/>

        </fig>

      <p id="d1e3142">Moreover, the comparison of predicted SST (under constant SSS and actual SSS
with <inline-formula><mml:math id="M216" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M217" display="inline"><mml:msub><mml:mi/><mml:mrow><mml:mi>Y</mml:mi><mml:mi>X</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msub></mml:math></inline-formula>) further confirms that the SSS variation has
no significant effect on the local reconstructed SST (Fig. 4f). The two
predicted SST values were highly similar (<inline-formula><mml:math id="M218" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.93</mml:mn></mml:mrow></mml:math></inline-formula>), and they are well
correlated with the actual SST (<inline-formula><mml:math id="M219" display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mi mathvariant="normal">vary</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.79</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M220" display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mi mathvariant="normal">constant</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.78</mml:mn></mml:mrow></mml:math></inline-formula>). Thus, we can use <inline-formula><mml:math id="M221" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M222" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">shell</mml:mi></mml:msub></mml:math></inline-formula> to roughly estimate the
seasonal local SST variation and to establish a new SST–<inline-formula><mml:math id="M223" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M224" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">shell</mml:mi></mml:msub></mml:math></inline-formula> linear regression: SST (<inline-formula><mml:math id="M225" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C) <inline-formula><mml:math id="M226" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mn mathvariant="normal">22.69</mml:mn><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4.41</mml:mn><mml:mo>×</mml:mo><mml:msub><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow><mml:mi mathvariant="normal">shell</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (or <inline-formula><mml:math id="M227" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M228" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">shell</mml:mi></mml:msub></mml:math></inline-formula>
(‰) <inline-formula><mml:math id="M229" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.136</mml:mn><mml:mo>×</mml:mo><mml:mi mathvariant="normal">SST</mml:mi><mml:mo>+</mml:mo><mml:mn mathvariant="normal">2.634</mml:mn></mml:mrow></mml:math></inline-formula>). A 1 ‰ change of <inline-formula><mml:math id="M230" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M231" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">shell</mml:mi></mml:msub></mml:math></inline-formula> is roughly equal
to 4.41 <inline-formula><mml:math id="M232" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C of SST. Yu et al. (2005b) summarized many published <inline-formula><mml:math id="M233" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>–SST slopes for another marine carbonate species, <italic>Porites lutea</italic> coral, and
suggested that the slopes could range from <inline-formula><mml:math id="M234" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.134</mml:mn></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M235" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.189</mml:mn></mml:mrow></mml:math></inline-formula>. Corals from
Hainan Island revealed good <inline-formula><mml:math id="M236" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> vs. SST correlation, with a
linear regression slope of <inline-formula><mml:math id="M237" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.137</mml:mn></mml:mrow></mml:math></inline-formula> (Su
et al., 2006), very similar to our result (<inline-formula><mml:math id="M238" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.136</mml:mn></mml:mrow></mml:math></inline-formula>). Consequently, use of the
new linear regression for reconstructing the past SST with the fossil
<inline-formula><mml:math id="M239" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M240" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">shell</mml:mi></mml:msub></mml:math></inline-formula> is a valid approach.</p>
</sec>
<sec id="Ch1.S4.SS2">
  <label>4.2</label><?xmltex \opttitle{Indication of seasonal variation in modern \textit{Tridacna}}?><title>Indication of seasonal variation in modern <italic>Tridacna</italic></title>
      <p id="d1e3467">According to <inline-formula><mml:math id="M241" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M242" display="inline"><mml:msub><mml:mi/><mml:mrow><mml:mi>Y</mml:mi><mml:mi>X</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msub></mml:math></inline-formula> (<inline-formula><mml:math id="M243" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.60</mml:mn></mml:mrow></mml:math></inline-formula> ‰ to <inline-formula><mml:math id="M244" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.52</mml:mn></mml:mrow></mml:math></inline-formula> ‰) and <inline-formula><mml:math id="M245" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M246" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">predicted</mml:mi></mml:msub></mml:math></inline-formula> (<inline-formula><mml:math id="M247" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.47</mml:mn></mml:mrow></mml:math></inline-formula> ‰ to <inline-formula><mml:math id="M248" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.57</mml:mn></mml:mrow></mml:math></inline-formula> ‰) profiles (Fig. 4b), seasonality is shown with the lowest value occurring
in the first <inline-formula><mml:math id="M249" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula> month (cold season) and the highest value in the fourth
<inline-formula><mml:math id="M250" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula> month (warm season). The difference in seasonality between <inline-formula><mml:math id="M251" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M252" display="inline"><mml:msub><mml:mi/><mml:mrow><mml:mi>Y</mml:mi><mml:mi>X</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msub></mml:math></inline-formula> and <inline-formula><mml:math id="M253" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M254" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">predicted</mml:mi></mml:msub></mml:math></inline-formula> is 0.18 ‰, which accounts for 19 % of <inline-formula><mml:math id="M255" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M256" display="inline"><mml:msub><mml:mi/><mml:mrow><mml:mi>Y</mml:mi><mml:mi>X</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msub></mml:math></inline-formula>. This situation may be due to the different growth rates
and equidistance sampling mode. In each year, the analyzed <italic>Tridacna</italic> grew faster in
warmer seasons than in colder seasons; thus, specimens under equidistance
sampling mode have more samples in the warm seasons. Fewer points in the
cold seasons decrease the values and lead to a lower <inline-formula><mml:math id="M257" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M258" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">shell</mml:mi></mml:msub></mml:math></inline-formula> in the first <inline-formula><mml:math id="M259" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula> month, but the higher number of points
makes <inline-formula><mml:math id="M260" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M261" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">shell</mml:mi></mml:msub></mml:math></inline-formula> close to <inline-formula><mml:math id="M262" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M263" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">predicted</mml:mi></mml:msub></mml:math></inline-formula> in
the warm seasons (nearly identical in the fourth <inline-formula><mml:math id="M264" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula> month). Moreover,
throughout the life of the analyzed <italic>Tridacna</italic>, the <inline-formula><mml:math id="M265" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M266" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">shell</mml:mi></mml:msub></mml:math></inline-formula> yearly
amplitude increasingly approaches the actual <inline-formula><mml:math id="M267" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M268" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">predicted</mml:mi></mml:msub></mml:math></inline-formula> when using a greater number of points (fast growth
rate) before reaching maturity. After the <italic>Tridacna</italic> reached maturity, the fewer
points obtained under equidistance mode in a year yielded a lower amplitude.
This can explain the minor discrepancy between <inline-formula><mml:math id="M269" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M270" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">shell</mml:mi></mml:msub></mml:math></inline-formula>
and <inline-formula><mml:math id="M271" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M272" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">predicted</mml:mi></mml:msub></mml:math></inline-formula>. As a result, <inline-formula><mml:math id="M273" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M274" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">shell</mml:mi></mml:msub></mml:math></inline-formula> slightly reduced the actual seasonal variation. However,
the correlation between them is high (<inline-formula><mml:math id="M275" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.81</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M276" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">77</mml:mn></mml:mrow></mml:math></inline-formula>), and the mean
<inline-formula><mml:math id="M277" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M278" display="inline"><mml:msub><mml:mi/><mml:mrow><mml:mi>Y</mml:mi><mml:mi>X</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msub></mml:math></inline-formula> (<inline-formula><mml:math id="M279" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.15</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">‰</mml:mi></mml:mrow></mml:math></inline-formula>) and mean <inline-formula><mml:math id="M280" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M281" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">predicted</mml:mi></mml:msub></mml:math></inline-formula> (<inline-formula><mml:math id="M282" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.14</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">‰</mml:mi></mml:mrow></mml:math></inline-formula>) values are similar.
Therefore, <inline-formula><mml:math id="M283" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M284" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">shell</mml:mi></mml:msub></mml:math></inline-formula> can also be used to estimate the
actual seasonal variation, with caution regarding the slightly reduced
variation.</p>
</sec>
<sec id="Ch1.S4.SS3">
  <label>4.3</label><?xmltex \opttitle{Reconstructed climate with fossil \textit{Tridacna} A5 {$\protect\chem{\delta^{{18}}O}$} evidence}?><title>Reconstructed climate with fossil <italic>Tridacna</italic> A5 <inline-formula><mml:math id="M285" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> evidence</title>
      <p id="d1e3984">The fossil <italic>Tridacna</italic> lived 3700 years ago during the early Meghalayan. The 40 <inline-formula><mml:math id="M286" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M287" display="inline"><mml:msub><mml:mi/><mml:mrow><mml:mi mathvariant="normal">A</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:msub></mml:math></inline-formula> cycles reveal that <italic>Tridacna</italic> A5 had probably lived for at least 40 years. After calculating data into <inline-formula><mml:math id="M288" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula>-monthly average profiles, the extreme
seasonal variation effects were minimized. The mean <inline-formula><mml:math id="M289" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M290" display="inline"><mml:msub><mml:mi/><mml:mrow><mml:mi mathvariant="normal">A</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:msub></mml:math></inline-formula>
is <inline-formula><mml:math id="M291" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.34</mml:mn></mml:mrow></mml:math></inline-formula> ‰, with a minimum and maximum of <inline-formula><mml:math id="M292" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.66</mml:mn></mml:mrow></mml:math></inline-formula> ‰ and
0.66 ‰, respectively (Fig. 4c). Contrasting with the
mean value of YX1 (<inline-formula><mml:math id="M293" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.15</mml:mn></mml:mrow></mml:math></inline-formula> ‰), the lower <inline-formula><mml:math id="M294" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M295" display="inline"><mml:msub><mml:mi/><mml:mrow><mml:mi mathvariant="normal">A</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:msub></mml:math></inline-formula> mean value may have reflected the higher temperature that
<italic>Tridacna</italic> A5 experienced during the warmer season. To translate into SST<?pagebreak page603?> (without
considering the SSS changes), the temperature was estimated to be roughly
0.84 <inline-formula><mml:math id="M296" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C higher than the present. This agrees with other lines of
evidence that suggest a higher temperature during that period
(Ouyang
et al., 2016), considered to be part of the Holocene megathermal in China
(Shi et al., 1994).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5" specific-use="star"><?xmltex \currentcnt{5}?><label>Figure 5</label><caption><p id="d1e4118">Reconstructed SST around 3700 years ago (red), compared with the
North Reef SST from 1982 to 2017 (blue). Dotted lines represent the average
maximum and minimum SST. The gray field represents extreme El Ninõ
winter events.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://cp.copernicus.org/articles/16/597/2020/cp-16-597-2020-f05.png"/>

        </fig>

      <p id="d1e4127">The average <inline-formula><mml:math id="M297" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula>-monthly seasonal range of this period (1 ‰) is similar to that yielded from YX1 (0.92 ‰). The SDs
of <inline-formula><mml:math id="M298" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M299" display="inline"><mml:msub><mml:mi/><mml:mrow><mml:mi mathvariant="normal">A</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:msub></mml:math></inline-formula> (0.38 ‰, <inline-formula><mml:math id="M300" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">281</mml:mn></mml:mrow></mml:math></inline-formula>) and
<inline-formula><mml:math id="M301" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M302" display="inline"><mml:msub><mml:mi/><mml:mrow><mml:mi>Y</mml:mi><mml:mi>X</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msub></mml:math></inline-formula> (0.35 ‰, <inline-formula><mml:math id="M303" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">77</mml:mn></mml:mrow></mml:math></inline-formula>) are also
similar. These results show similar climate change 3700 years ago and in the
present. However, the life of <italic>Tridacna</italic> YX1 (11 years) was much shorter than the
fossil <italic>Tridacna</italic> (which lived for at least 40 years), and YX1's location is in the
south of A5's location; thus modern observation data from the North Reef were used
to do the climatic comparison. After translating <inline-formula><mml:math id="M304" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M305" display="inline"><mml:msub><mml:mi/><mml:mrow><mml:mi mathvariant="normal">A</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:msub></mml:math></inline-formula>
into SST (Fig. 5), the reconstructed SST shows an average maximum and
minimum of 30 and 25.61 <inline-formula><mml:math id="M306" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C, respectively, with a
seasonal variation of 4.39 <inline-formula><mml:math id="M307" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C (Fig. 4e). Comparatively, the
<inline-formula><mml:math id="M308" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula>-monthly average range of modern observation is 29.33 to 23.99 <inline-formula><mml:math id="M309" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C (from 1982 to 2017), with a seasonal variation of 5.34 <inline-formula><mml:math id="M310" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C (Fig. 4e). The warmer climate in the past, associated with seasonality variance,
is about 0.95 <inline-formula><mml:math id="M311" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C lower. Considering the seasonality discrepancy
between <inline-formula><mml:math id="M312" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M313" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">shell</mml:mi></mml:msub></mml:math></inline-formula> and <inline-formula><mml:math id="M314" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M315" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">predicted</mml:mi></mml:msub></mml:math></inline-formula>, the
<inline-formula><mml:math id="M316" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M317" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">shell</mml:mi></mml:msub></mml:math></inline-formula> has a 19 % lower seasonal variation than
<inline-formula><mml:math id="M318" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M319" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">predicted</mml:mi></mml:msub></mml:math></inline-formula>. Therefore, the actual seasonal variation of
A5 (roughly 5.23 <inline-formula><mml:math id="M320" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C) is still below present seasonality.</p>
      <p id="d1e4391">In addition, the discrepancy between mean <inline-formula><mml:math id="M321" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M322" display="inline"><mml:msub><mml:mi/><mml:mrow><mml:mi mathvariant="normal">A</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:msub></mml:math></inline-formula> and mean
<inline-formula><mml:math id="M323" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M324" display="inline"><mml:msub><mml:mi/><mml:mrow><mml:mi>Y</mml:mi><mml:mi>X</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msub></mml:math></inline-formula> is 0.19 ‰; the lower mean
<inline-formula><mml:math id="M325" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M326" display="inline"><mml:msub><mml:mi/><mml:mrow><mml:mi mathvariant="normal">A</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:msub></mml:math></inline-formula> is because of more <inline-formula><mml:math id="M327" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula> months in lower values. This
reveals a possible prolonged high-temperature period 3700 years ago: warm
seasons may have been longer, while cold seasons may have been shorter. This
agrees with a comparison between 3700 years ago (3722 to 3623 BP) and the
past century (1918 to 2017), which indicates <italic>Tridacna</italic> A5 lived in more insolation.
This occurs from the second to fifth <inline-formula><mml:math id="M328" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula> month (warm seasons); however, less
insolation occurs in the rest of the months (Fig. 4d). Thus, the prolonged
high temperature in the past might be attributed to more insolation.<?pagebreak page604?> In
addition, although a higher sampling density obtained in the warm seasons
enlarges the high-temperature period (from the second to sixth <inline-formula><mml:math id="M329" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula> month), a
cold-to-warm transition could still be recognized in A5 and YX1 <inline-formula><mml:math id="M330" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> profiles (Fig. 4c). Comparison of each <inline-formula><mml:math id="M331" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula>-monthly value with the
average value shows that between the first and second <inline-formula><mml:math id="M332" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula> month,  there was a larger
deviation with a greater slope 3700 years ago. This illustrates a fast
transition between cold and warm seasons 3700 years ago. As <inline-formula><mml:math id="M333" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M334" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">predicted</mml:mi></mml:msub></mml:math></inline-formula> has stronger seasonal variation than <inline-formula><mml:math id="M335" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M336" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">shell</mml:mi></mml:msub></mml:math></inline-formula>, the slope should be sharper, which means more
significant actual seasonal transition.</p>
      <p id="d1e4563">Overall, the climate around 3700 years ago had slightly lower seasonality
than the present, and the transition between cold and warm seasons was
starker.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6" specific-use="star"><?xmltex \currentcnt{6}?><label>Figure 6</label><caption><p id="d1e4568">SST anomalies of modern instrumental data and reconstructed SST
anomalies of <italic>Tridacna</italic> A5 under <inline-formula><mml:math id="M337" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula>-monthly <bold>(a)</bold> and <inline-formula><mml:math id="M338" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula>-annual <bold>(b)</bold> resolution. Dotted
lines represent a standard deviation (<inline-formula><mml:math id="M339" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mi mathvariant="italic">σ</mml:mi></mml:mrow></mml:math></inline-formula>) of SST anomalies.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://cp.copernicus.org/articles/16/597/2020/cp-16-597-2020-f06.png"/>

        </fig>

</sec>
<sec id="Ch1.S4.SS4">
  <label>4.4</label><title>Climate variation comparison between 3700 years ago and present</title>
      <p id="d1e4619">A comparison was performed between the modern instrumental observations
(from 1982 to 2017) in the North Reef and the reconstructed SST anomalies of
<italic>Tridacna</italic> A5. The <inline-formula><mml:math id="M340" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula>-monthly resolution data were first compared, obtained by
subtracting the <inline-formula><mml:math id="M341" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula>-monthly SST with the mean value of each <inline-formula><mml:math id="M342" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula> month. In terms
of long-term climatic variation, the SST anomalies are markedly different
between the 36-year modern instrumental data and the 40-year reconstructed
data (Fig. 6a). The SST anomalies (3700 years ago) have sharper peaks and a
greater amplitude than in those of recent years, and the SD in the past is
much larger (0.68 <inline-formula><mml:math id="M343" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C) than in the present (0.42 <inline-formula><mml:math id="M344" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C),
suggesting more severe climate conditions in the past. However, the
deviation should be noted alongside the different growth rates during
<italic>Tridacna</italic>'s life span and in equidistant sampling mode. For example, <italic>Tridacna</italic> may have
different annual growth rates; hence an <inline-formula><mml:math id="M345" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula>-monthly value may not represent
the corresponding actual <inline-formula><mml:math id="M346" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula>-monthly value under equidistant sampling mode. In
this respect, the <inline-formula><mml:math id="M347" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula>-annual SST anomalies are estimated to reduce the
deviation (Fig. 6b). The SD of modern observation SST anomalies is 0.30 <inline-formula><mml:math id="M348" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C, and the SD of reconstructed SST anomalies is 0.41 <inline-formula><mml:math id="M349" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C. This illustrates that the modern-to-past ratios of the <inline-formula><mml:math id="M350" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula>-monthly
resolutions or <inline-formula><mml:math id="M351" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula>-annual resolutions are almost the same (0.65 and 0.73,
respectively); thus the SD of <inline-formula><mml:math id="M352" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula>-monthly SST anomalies of <italic>Tridacna</italic> is likely a
reliable measure. As a result, the enhanced climate variability 3700 years
ago probably indicates increased ENSO-related variability in this region.
This conclusion contradicts data from samples (deep-sea sediments and fossil
mollusk shells) collected in the eastern tropical Pacific at the same time
period (Koutavas et al., 2012, Carré et al., 2014). More data should be
analyzed from long, successive time periods to understand more about the
dynamics of ENSO on a large scale.</p>
</sec>
<sec id="Ch1.S4.SS5">
  <label>4.5</label><?xmltex \opttitle{ENSO activity recorded by \textit{Tridacna} {$\protect\chem{\delta^{{18}}O}$}}?><title>ENSO activity recorded by <italic>Tridacna</italic> <inline-formula><mml:math id="M353" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula></title>
      <p id="d1e4760">As ENSO is the strongest contributor to global interannual climate
variation, a better understanding of its fundamental properties will allow
us to better unravel past climate change episodes and to make more accurate
predictions for the future. Interannual climate changes in the Xisha Islands
were likely dominated by ENSO activity. The local accumulated positive
percentage of monthly SST anomaly threshold responds to 76.47 % El
Ninõ and 79.41 % La Niña events in the  Ninõ 3.4 region
(Liu et al., 2016). Previous studies demonstrate
that marine biogenic carbonate-based SST reconstructions in the northern
South China Sea likely responded to ENSO activity
(Sun et al., 2005; Yan et al., 2017).
Warm<?pagebreak page605?> (cold) SST anomalies are related to El Ninõ (La Niña) events.
Coral has one of the earliest records revealing ENSO events
(Peng
et al., 2003; Sun et al., 2005; Wei et al., 2007), yet there are still some
technical limitations in using coral, such as those concerning
post-depositional diagenetic alteration between aragonite and calcite
(McGregor and Gagan, 2003).
Analyses of <italic>Tridacna</italic> species are performed to overcome this limitation by taking
advantage of their denser shells, lack of diagenetic alteration, and oxygen
isotopic equilibrium with seawater. Recently, Yan et al. (2014) proved that
<italic>Tridacna</italic> species in the Xisha Islands respond to ENSO activity, and then they used fossil
<italic>Tridacna </italic><inline-formula><mml:math id="M354" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> on Dongdao Island (part of the Xisha Islands) to
reconstruct the ENSO variability around 2000 years ago (Yan
et al., 2017).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F7" specific-use="star"><?xmltex \currentcnt{7}?><label>Figure 7</label><caption><p id="d1e4786">Spectral analysis of the North Reef SST anomalies <bold>(a)</bold>, Ninõ <inline-formula><mml:math id="M355" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>+</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula> SST anomalies <bold>(b)</bold>, and reconstructed SST anomalies according to
<inline-formula><mml:math id="M356" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M357" display="inline"><mml:msub><mml:mi/><mml:mrow><mml:mi mathvariant="normal">A</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:msub></mml:math></inline-formula> <bold>(c)</bold>. Green lines indicate significance at the 90 % confidence level, and the area between the two dotted lines represents
the frequency of 3 to 7 years.</p></caption>
          <?xmltex \igopts{width=455.244094pt}?><graphic xlink:href="https://cp.copernicus.org/articles/16/597/2020/cp-16-597-2020-f07.png"/>

        </fig>

      <p id="d1e4840">To acquire more precise ENSO reconstructions, modern observation data were
analyzed and compared with the SST in Ninõ <inline-formula><mml:math id="M358" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>+</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula> region. The SST
anomaly series were calculated by subtracting the <inline-formula><mml:math id="M359" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula>-monthly mean values. The
spectral analyses were performed to test periodicity among all SST anomalies
(Fig. 7), which indicate a spectral peak of 3 to 7 years. According to the
SST series, the North Reef SST has a 3-<inline-formula><mml:math id="M360" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula>-month time lag behind the Ninõ
<inline-formula><mml:math id="M361" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>+</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula> SST (Fig. 8a), and thus 3 <inline-formula><mml:math id="M362" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula> months of the North Reef SST were
brought forward to eliminate the lag. To reconstruct the occurrence of ENSO
in the North Reef, 3–7 years of bandpass filtering was performed on the SST
anomalies, which yielded North Reef ENSO activity mostly consistent with the
Ninõ <inline-formula><mml:math id="M363" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>+</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula> SST anomalies (Fig. 8c). A threshold value was calculated
under <inline-formula><mml:math id="M364" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mi mathvariant="italic">σ</mml:mi></mml:mrow></mml:math></inline-formula> SST anomalies for moderate El Ninõ–La Niña events.
A total of 7 El Ninõ and 10 La Niña events occurred in the past
36 years. In other words, El Ninõ–La Niña events occurred
successively at a 5.14-year frequency in the North Reef.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F8" specific-use="star"><?xmltex \currentcnt{8}?><label>Figure 8</label><caption><p id="d1e4914">Relationship between Ninõ <inline-formula><mml:math id="M365" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>+</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula> SST and the North Reef SST:
<bold>(a)</bold> the North Reef SST (blue line) compared with Ninõ <inline-formula><mml:math id="M366" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>+</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula> SST
(yellow line); a clear time lag exists. <bold>(b)</bold> SST anomalies of two areas; the
lag is removed by forwarding the North Reef SST anomalies for 3 <inline-formula><mml:math id="M367" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula> months.
<bold>(c)</bold> The North Reef SST anomalies were performed with 3–7 years of bandpass
filtering, consistent with Ninõ <inline-formula><mml:math id="M368" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>+</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula> SST anomalies; the dashed lines
show the calculated threshold limits (<inline-formula><mml:math id="M369" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mi mathvariant="italic">σ</mml:mi></mml:mrow></mml:math></inline-formula>) for ENSO activity in the
North Reef. El Ninõ and La Niña events are represented by positive
and negative SST anomaly values, respectively.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://cp.copernicus.org/articles/16/597/2020/cp-16-597-2020-f08.png"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F9" specific-use="star"><?xmltex \currentcnt{9}?><label>Figure 9</label><caption><p id="d1e4988"><bold>(a)</bold> ENSO activity reconstructed by the fossil <italic>Tridacna</italic> 3700 years ago:
<inline-formula><mml:math id="M370" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> anomalies of fossil <italic>Tridacna</italic> A5. <bold>(b)</bold> The North Reef SST anomalies
calculated by <inline-formula><mml:math id="M371" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> anomalies, based on modern <italic>Tridacna</italic> <inline-formula><mml:math id="M372" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>–SST equation (1 ‰ <inline-formula><mml:math id="M373" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M374" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">shell</mml:mi></mml:msub></mml:math></inline-formula>
<inline-formula><mml:math id="M375" display="inline"><mml:mrow><mml:mo>≈</mml:mo><mml:mn mathvariant="normal">4.41</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M376" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C SST). <bold>(c)</bold> ENSO activity according to the North
Reef SST anomalies after 3–7 years of bandpass filtering; the dashed lines
show the calculated threshold limits (<inline-formula><mml:math id="M377" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mi mathvariant="italic">σ</mml:mi></mml:mrow></mml:math></inline-formula>) for ENSO activity.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://cp.copernicus.org/articles/16/597/2020/cp-16-597-2020-f09.png"/>

        </fig>

      <p id="d1e5105">Spectral analysis revealed that <inline-formula><mml:math id="M378" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M379" display="inline"><mml:msub><mml:mi/><mml:mrow><mml:mi mathvariant="normal">A</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:msub></mml:math></inline-formula> anomalies also have
a 3–7-year period (Fig. 7c). As discussed above, the <italic>Tridacna</italic> <inline-formula><mml:math id="M380" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>
values are mainly dominated by SST in the Xisha Islands, and 1 ‰ <inline-formula><mml:math id="M381" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M382" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">shell</mml:mi></mml:msub></mml:math></inline-formula> is roughly equal to 4.41 <inline-formula><mml:math id="M383" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C of SST. <inline-formula><mml:math id="M384" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M385" display="inline"><mml:msub><mml:mi/><mml:mrow><mml:mi mathvariant="normal">A</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:msub></mml:math></inline-formula> anomalies were transformed
into the North Reef SST<inline-formula><mml:math id="M386" display="inline"><mml:msub><mml:mi/><mml:mrow><mml:mi mathvariant="normal">A</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:msub></mml:math></inline-formula> anomalies (Fig. 9b). After the 3–7 years of
bandpass filtering of the North Reef SST<inline-formula><mml:math id="M387" display="inline"><mml:msub><mml:mi/><mml:mrow><mml:mi mathvariant="normal">A</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:msub></mml:math></inline-formula> anomalies, six El Ninõ
and five La Niña events were estimated to occur over 40 years with a
<inline-formula><mml:math id="M388" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mi mathvariant="italic">σ</mml:mi></mml:mrow></mml:math></inline-formula> SST<inline-formula><mml:math id="M389" display="inline"><mml:msub><mml:mi/><mml:mrow><mml:mi mathvariant="normal">A</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:msub></mml:math></inline-formula> anomaly threshold (Fig. 9c), giving a 6.67- and
8-year frequency, respectively. The ENSO frequency is reduced when compared
with modern observation data. The lower frequency is supported in ENSO
reconstructions back to 7 ka, which suggest a notable reduction of ENSO
between 5 and 3 ka
(Liu
et al., 2013; McGregor et al., 2013; Tudhope et al., 2001; Emile-Geay et
al., 2016). However, implications drawn from a mere 40-year-long <italic>Tridacna</italic> <inline-formula><mml:math id="M390" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> record are likely inconclusive. A collection of more similar-aged
<italic>Tridacna</italic> is needed to develop a more continuous climate and ENSO activity record in
Holocene.</p>
</sec>
<sec id="Ch1.S4.SS6">
  <label>4.6</label><?xmltex \opttitle{Extreme winter El Nin\~{o} records in fossil \textit{Tridacna} {$\protect\chem{\delta^{{18}}O}$} values}?><title>Extreme winter El Ninõ records in fossil <italic>Tridacna</italic> <inline-formula><mml:math id="M391" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> values</title>
      <p id="d1e5294">In recent decades, extreme El Ninõ has brought about many climatic
disasters, such as catastrophic flooding, bushfire and drought
(Ramírez
and Briones, 2017; Staupe-Delgado et al., 2018; Yu et al., 2018,
2019). With global warming persisting, the question of whether high
temperatures are related to extreme El Ninõ events is still
controversial. Therefore, records of extreme El Ninõ events in past warm
periods are important. Here, the winter SST is used to estimate extreme El
Ninõ events. Winters in the northern South China Sea are very dry, and
the SSS variation caused by rainfall is small. Thus, the SST determined from
<inline-formula><mml:math id="M392" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M393" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">shell</mml:mi></mml:msub></mml:math></inline-formula> should be close to the actual value. The SST
calculated by <inline-formula><mml:math id="M394" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M395" display="inline"><mml:msub><mml:mi/><mml:mrow><mml:mi>Y</mml:mi><mml:mi>X</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msub></mml:math></inline-formula> reveals a<?pagebreak page606?> warmer winter in 1998,
corresponding to a stronger El Ninõ that year. A comparison between the
reconstructed SST (calculated with <inline-formula><mml:math id="M396" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M397" display="inline"><mml:msub><mml:mi/><mml:mrow><mml:mi mathvariant="normal">A</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:msub></mml:math></inline-formula>) and modern
observation data from the North Reef (Fig. 5) suggested that the average
winter SST 3700 years ago was 25.62 <inline-formula><mml:math id="M398" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C. There are six distinctly
high SSTs within the 40 years (gray fields in Fig. 5), with anomalies ranging
from 0.73 to 2.00 <inline-formula><mml:math id="M399" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C. As for the SST of modern observations (from
1982 to 2017), the average of winter SST is 23.99 <inline-formula><mml:math id="M400" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C, and three
anomalously warm temperatures vary from 0.60 to 1.38 <inline-formula><mml:math id="M401" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C. It seems
that extreme El Ninõ winter events were very frequent in this past warm
period. However, this analysis still provides low confidence in answering
this controversial question about the relationship between El Ninõ
events and warm climate; more <italic>Tridacna</italic> in the past warm period should be analyzed in
future work. Nevertheless, our results still put forward high-resolution
data that make a contribution to future work on how El Ninõ events occur
in warm periods.</p>
</sec>
</sec>
<?pagebreak page607?><sec id="Ch1.S5" sec-type="conclusions">
  <label>5</label><title>Conclusions</title>
      <p id="d1e5418">The <inline-formula><mml:math id="M402" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> values derived from <italic>Tridacna</italic> provide high-resolution data, useful to
unravel climatic variability and ENSO activity. In the Xisha Islands of the
northern South China Sea, the <inline-formula><mml:math id="M403" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M404" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">shell</mml:mi></mml:msub></mml:math></inline-formula> of modern
<italic>Tridacna gigas</italic> can serve as a proxy for SST, while SSS has a minor effect on the <inline-formula><mml:math id="M405" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M406" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">shell</mml:mi></mml:msub></mml:math></inline-formula>. Thus, a rough <inline-formula><mml:math id="M407" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>–SST linear regression
is established: SST (<inline-formula><mml:math id="M408" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C) <inline-formula><mml:math id="M409" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mn mathvariant="normal">22.69</mml:mn><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4.41</mml:mn><mml:mo>×</mml:mo><mml:msub><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow><mml:mi mathvariant="normal">shell</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>. Another <italic>Tridacna squamosa </italic> A5, which lived 3700 years ago, reveals 40
clearly dark–bright line couples consistent with <inline-formula><mml:math id="M410" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M411" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">shell</mml:mi></mml:msub></mml:math></inline-formula>
profiles. Reconstructed SST implies a warmer climate 3700 years ago, 0.84 <inline-formula><mml:math id="M412" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C higher than the present. The seasonal variation slightly
decreased, and the transition among cold to warm seasons was faster. The
combinations of SST anomalies reconstructed at <inline-formula><mml:math id="M413" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula>-monthly–<inline-formula><mml:math id="M414" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula>-annual resolution
suggest enhanced ENSO-related variability during this past warm period. In
addition, the frequency of ENSO activity was less 3700 years ago than during
the recent 36 years of modern observations. El Ninõ–La Niña events
occurred alternatively at a frequency of every 6.67 and 8 years in the past,
compared to every 5.14 years in recent decades. Extreme El Ninõ winters
have been recorded by a fossil <italic>Tridacna</italic> with increased numbers and intense
variations. Our results imply an unstable climate 3700 years ago, although
more data are still needed to support this hypothesis.</p>
</sec>

      
      </body>
    <back><notes notes-type="dataavailability"><title>Data availability</title>

      <p id="d1e5586">All data can be acquired in the Supplement. Some of meteorological data are deposited at the NOAA website (<uri>http://www.cpc.ncep.noaa.gov/data/indices/sstoi.indices</uri>, last access: 31 December 2017). The dating result of <italic>Tridacna</italic> is calibrated by CALIB 7.10 Radiocarbon Calibration (<uri>http://calib.org</uri>, Stuiver et al., 2018). Correspondence and requests for materials should be addressed to Xiaoming Sun (eessxm@mail.sysu.edu.cn) and Hong Yan (yanhong@ieecas.cn).</p>
  </notes><app-group>
        <supplementary-material position="anchor"><p id="d1e5598">The supplement related to this article is available online at: <inline-supplementary-material xlink:href="https://doi.org/10.5194/cp-16-597-2020-supplement" xlink:title="pdf">https://doi.org/10.5194/cp-16-597-2020-supplement</inline-supplementary-material>.</p></supplementary-material>
        </app-group><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d1e5607">XS, HY, and YH designed the research and experiments; HY
collected the samples; HC and YH performed stable isotope
measurements. HY and YH did the data analyses. YH wrote the
manuscript, with the help of all co-authors.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d1e5613">The authors declare that they have no conflict of interest.</p>
  </notes><ack><title>Acknowledgements</title><p id="d1e5619">We are grateful to Yu Fu, Yang Lu, Jiaoyang Ruan, Chengcheng Liu, Tianjian Yang, and Jun Gu for their support in preparing the manuscript. Youfeng Ning, Hanying Li, Pengfei Duan, and Jingyao Zhao are thanked for their technical support in drilling and analyses at Xi'an Jiaotong University.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d1e5624">This  research has been supported by the National Key R&amp;D Program of China (2018YFA0702605), the National 13th Five Year Plan project (DY135-R2-1-01, DY135-C1-1-06), National Nature Science Foundation of China (41876038, 41877399, 91128101, 41888101), State Key Laboratory for Mineral Deposits Research in Nanjing University (no. 20-15-07), Chinese Academy of Sciences (QYZDB-SSW-DQC001), and the Qingdao National Laboratory for Marine Science and Technology of China (QNLM2016ORP0202).</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d1e5630">This paper was edited by Denis-Didier Rousseau and reviewed by two anonymous referees.</p>
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    <!--<article-title-html>Evidence from giant-clam <i>δ</i><sup>18</sup>O of intense El Ninõ–Southern Oscillation-related variability but reduced frequency 3700 years ago</article-title-html>
<abstract-html><p>Giant clams (<i>Tridacna</i>) are the largest marine bivalves, and their carbonate shells
can be used for high-resolution paleoclimate reconstructions. In this
contribution, <i>δ</i><sup>18</sup>O<sub>shell</sub> was used to estimate climatic
variation in the Xisha Islands of the South China Sea. We first evaluate sea
surface temperature (SST) and sea surface salinity (SSS) influence on the
modern resampled monthly (<i>r</i>-monthly) resolution of <i>Tridacna gigas</i> <i>δ</i><sup>18</sup>O<sub>shell</sub>. The results obtained reveal that <i>δ</i><sup>18</sup>O<sub>shell</sub> seasonal variation is mainly controlled by SST and
appears to be insensitive to local SSS change. Thus, the <i>δ</i><sup>18</sup>O
of <i>Tridacna</i> shells can be roughly used as a proxy of local SST: a 1&thinsp;‰ <i>δ</i><sup>18</sup>O<sub>shell</sub> change is roughly equal to
4.41&thinsp;°C of SST. The <i>r</i>-monthly <i>δ</i><sup>18</sup>O of a 40-year-old
<i>Tridacna</i> <i>squamosa</i> (3673±28&thinsp;BP) from the North Reef of the Xisha Islands was analyzed
and compared with the modern specimen. The difference between the average
<i>δ</i><sup>18</sup>O of the fossil <i>Tridacna</i> shell (<i>δ</i><sup>18</sup>O  = −1.34&thinsp;‰) and the modern <i>Tridacna</i> specimen (<i>δ</i><sup>18</sup>O  = −1.15&thinsp;‰) probably implies a warm climate, roughly
0.84&thinsp;°C, 3700 years ago. The seasonal variation 3700 years ago
was slightly lower than that suggested by modern instrumental data, and the
transition between warm and cold seasons was rapid. Higher amplitudes of
reconstructed <i>r</i>-monthly and <i>r</i>-annual SST anomalies imply an enhanced climate
variability during this warm period. Investigation of the El
Ninõ–Southern Oscillation (ENSO) variation (based on the reconstructed
SST series) indicates reduced ENSO frequency but increased ENSO-related
variability and extreme El Ninõ winter events 3700 years ago.</p></abstract-html>
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