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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Mar. Sci.</journal-id>
<journal-title>Frontiers in Marine Science</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Mar. Sci.</abbrev-journal-title>
<issn pub-type="epub">2296-7745</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.3389/fmars.2022.877810</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Marine Science</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Ocean acidification in the Western Pacific: Boron isotopic composition recorded in a tropical massive coral core from Lanyu Islet SE Taiwan</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>You</surname>
<given-names>Chen-Feng</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="author-notes" rid="fn001">
<sup>*</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/92236"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Lin</surname>
<given-names>P-Y.</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Huang</surname>
<given-names>Kuo-Fang</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/837163"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Chung</surname>
<given-names>Chuan-Hsiung</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Liu</surname>
<given-names>Zhifei</given-names>
</name>
<xref ref-type="aff" rid="aff4">
<sup>4</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/901932"/>
</contrib>
</contrib-group>
<aff id="aff1">
<sup>1</sup>
<institution>Earth Dynamic System Research Center, National Cheng Kung University</institution>, <addr-line>Tainan</addr-line>, <country>Taiwan</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>Department of Earth Sciences, National Cheng Kung University</institution>, <addr-line>Tainan</addr-line>, <country>Taiwan</country>
</aff>
<aff id="aff3">
<sup>3</sup>
<institution>Institute of Earth Sciences, Academia Sinica</institution>, <addr-line>Taipei</addr-line>, <country>Taiwan</country>
</aff>
<aff id="aff4">
<sup>4</sup>
<institution>State Key Laboratory of Marine Geology, Tongji University</institution>, <addr-line>Shanghai</addr-line>, <country>China</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>Edited by: Michele Giani, Istituto Nazionale di Oceanografia e di Geofisica Sperimentale, Italy</p>
</fn>
<fn fn-type="edited-by">
<p>Reviewed by: Xiubao Li, Hainan University, China; Sambuddha Misra, Indian Institute of Science (IISc), India</p>
</fn>
<fn fn-type="corresp" id="fn001">
<p>*Correspondence: Chen-Feng You, <email xlink:href="mailto:cfy20@mail.ncku.edu.tw">cfy20@mail.ncku.edu.tw</email>
</p>
</fn>
<fn fn-type="other" id="fn002">
<p>This article was submitted to Marine Biogeochemistry, a section of the journal Frontiers in Marine Science</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>27</day>
<month>07</month>
<year>2022</year>
</pub-date>
<pub-date pub-type="collection">
<year>2022</year>
</pub-date>
<volume>9</volume>
<elocation-id>877810</elocation-id>
<history>
<date date-type="received">
<day>17</day>
<month>02</month>
<year>2022</year>
</date>
<date date-type="accepted">
<day>01</day>
<month>07</month>
<year>2022</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2022 You, Lin, Huang, Chung and Liu</copyright-statement>
<copyright-year>2022</copyright-year>
<copyright-holder>You, Lin, Huang, Chung and Liu</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/">
<p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</p>
</license>
</permissions>
<abstract>
<p>Boron (B) and B isotopic compositions (&#x3b4;<sup>11</sup>B) in biogenic carbonates are useful proxies for pH reconstruction in the ocean. However, high-resolution archives are scarce due to associated sampling and analytical difficulty. In this study, a modern long-lived massive coral skeleton (<italic>Porites lobata</italic>) from Lanyu Islet off southeast Taiwan was drilled and used for high-resolution major/trace element analyses, including trace elements B and &#x3b4;<sup>11</sup>B, as well as oxygen and carbon isotopes, to investigate the associated environmental changes during 1991&#x2013;1997. To avoid complicated biological influence, the top-most tissue layer was excluded in this study. The coralline records show a clear temporal trend in metal/Ca-based sea surface temperatures (SSTs) on annual and monthly timescales. In particular, the Mg/Ca-SSTs, the most sensitive temperature proxy at the site, show a significant warming trend (+0.2&#xb0;C&#xa0;year<sup>&#x2212;1</sup>) during the study period. On the other hand, subtle changes in the annual &#x3b4;<sup>11</sup>B record were identified, corresponding to ~0.2 pH unit, which is comparable with other coral records in the Pacific, e.g., the South China Sea (SCS), Guam Island, Flinders, and Arlington Reef, as well as the <italic>in-situ</italic> seawater pH measurement at Hawaii station. This corresponds to an acidification rate of ~0.25 pH unit 100&#xa0;year<sup>&#x2212;1</sup>, similar to other coralline data, <italic>in-situ</italic> pH/pCO<sub>2</sub> measurement, or model predictions, and emphasizes the importance of ocean acidification due to anthropogenic activities. Combined with the Mg/Ca-SST, the intra-annual data show a clear seasonal cycle with higher pH in winter, consistent with the pCO<sub>2</sub> at the oceanic surface. These chemical and isotopic results in corals conclude that marine biogenic carbonates are informative for oceanic pH reconstruction and can provide new insights into the relationships between climate changes and environmental responses on the coast of Taiwan.</p>
</abstract>
<kwd-group>
<kwd>boron isotope</kwd>
<kwd>coral</kwd>
<kwd>pCO<sub>2</sub>
</kwd>
<kwd>Lanyu</kwd>
<kwd>ocean acidification</kwd>
</kwd-group>
<contract-sponsor id="cn001">Ministry of Science and Technology<named-content content-type="fundref-id">10.13039/501100003711</named-content>
</contract-sponsor>
<counts>
<fig-count count="7"/>
<table-count count="0"/>
<equation-count count="7"/>
<ref-count count="73"/>
<page-count count="13"/>
<word-count count="5494"/>
</counts>
</article-meta>
</front>
<body>
<sec id="s1" sec-type="intro">
<title>Introduction</title>
<p>The evidence for climate change is unequivocal as the consensus in the Fourth Assessment Report of the Intergovernmental Panel on Climate Change (IPCC) indicated (<xref ref-type="bibr" rid="B23">Hoegh-Guldberg et&#xa0;al., 2007</xref>; <xref ref-type="bibr" rid="B43">Pachauri, 2008</xref>; <xref ref-type="bibr" rid="B28">IPCC, 2014</xref>; <xref ref-type="bibr" rid="B35">Liu et&#xa0;al., 2014</xref>). Various climatic model predictions and proxy reconstructions suggest that the increase in atmospheric CO<sub>2</sub> relative to the pre-industrial era has already caused ocean acidification due to the uptake of anthropogenic CO<sub>2</sub> (<xref ref-type="bibr" rid="B5">Caldeira and Wickett, 2003</xref>; <xref ref-type="bibr" rid="B30">Kasemann et&#xa0;al., 2009</xref>; <xref ref-type="bibr" rid="B36">Louvat et&#xa0;al., 2011</xref>). This acidification is predicted to decrease the level of carbonate saturation in seawater and lead to unfavorable living conditions for marine organisms (e.g., coccolithophorids, foraminifera, and corals) by disrupting the calcification processes necessary for shell/skeleton growth (<xref ref-type="bibr" rid="B41">Orr et&#xa0;al., 2005</xref>).</p>
<p>Many isotopic compositions in coral skeletons are primarily controlled by environmental parameters of ambient seawater, and thus, the patterns in trace elements and isotope compositions of fossil corals offer a robust approach to reconstruct the physical and chemical properties of the ocean (<xref ref-type="bibr" rid="B47">Quinn and Sampson, 2002</xref>; <xref ref-type="bibr" rid="B10">Cohen and McConnaughey, 2003</xref>; <xref ref-type="bibr" rid="B45">Pelejero et&#xa0;al., 2005</xref>; <xref ref-type="bibr" rid="B42">Ourbak et&#xa0;al., 2006</xref>; <xref ref-type="bibr" rid="B56">Shimamura et&#xa0;al., 2008</xref>). Most coralline trace elements are incorporated directly into aragonite skeletons from ambient seawater (<xref ref-type="bibr" rid="B48">Reuer et&#xa0;al., 2003</xref>). The trace element ratios of B, Mg, Sr, and U in coral skeletons can reflect faithfully the seawater compositions and physical conditions during calcification. The long residence times of B, Mg, Sr, and U (&gt;1&#xa0;Ma) cause relatively homogeneous distributions of these elements in the oceans (<xref ref-type="bibr" rid="B4">Allison and Finch, 2010</xref>). Also, temperature or other environmental variables may regulate trace element ratios in coral skeletons (<xref ref-type="bibr" rid="B71">Wei et&#xa0;al., 2000</xref>; <xref ref-type="bibr" rid="B47">Quinn and Sampson, 2002</xref>; <xref ref-type="bibr" rid="B42">Ourbak et&#xa0;al., 2006</xref>). On the other hand, the stable isotopes of oxygen (O) and carbon (C) in biogenic carbonates can provide an accurate reconstruction of past oceanic conditions (<xref ref-type="bibr" rid="B25">H&#xf6;nisch et&#xa0;al., 2004</xref>; <xref ref-type="bibr" rid="B49">Reynaud et&#xa0;al., 2004</xref>; <xref ref-type="bibr" rid="B40">Omata et&#xa0;al., 2005</xref>; <xref ref-type="bibr" rid="B56">Shimamura et&#xa0;al., 2008</xref>; <xref ref-type="bibr" rid="B39">Moyer and Grottoli, 2011</xref>). Several factors may influence the stable isotope compositions in biogenic carbonates, such as isotopic equilibrium (e.g., temperature), kinetic isotope effects (e.g., growth rate), and metabolic isotope effects (i.e., photosynthesis and respiration) (<xref ref-type="bibr" rid="B40">Omata et&#xa0;al., 2005</xref>).</p>
<p>In the marine carbonate system, gaseous CO<sub>2</sub> dissolves into surface seawater in proportion to the partial pressure of CO<sub>2</sub> (pCO<sub>2</sub>). To understand any changes in the system, at least two of the co-varying parameters of pH, [CO<sub>2</sub>], [HCO<sub>3</sub>
<sup>&#x2212;</sup>], [CO<sub>3</sub>
<sup>2&#x2212;</sup>], total alkalinity (TA), and total dissolved carbon (DIC) need to be constrained. By using these parameters, the state of the carbonate system can be reconstructed for the evaluation of past changes in saturation state with respect to atmospheric CO<sub>2</sub>. In this study, we focus on seawater pH reconstruction using boron isotopic composition in coral skeletons. There are many studies that used boron isotopic composition in biogenic carbonate to reconstruct past oceanic pH (<xref ref-type="bibr" rid="B60">Spivack et&#xa0;al., 1993</xref>; <xref ref-type="bibr" rid="B16">Gaillardet and All&#xe8;gre, 1995</xref>; <xref ref-type="bibr" rid="B44">Pearson and Palmer, 2000</xref>; <xref ref-type="bibr" rid="B54">Sanyal et&#xa0;al., 2000</xref>; <xref ref-type="bibr" rid="B25">H&#xf6;nisch et&#xa0;al., 2004</xref>; <xref ref-type="bibr" rid="B26">H&#xf6;nisch et&#xa0;al., 2007</xref>; <xref ref-type="bibr" rid="B15">Foster, 2008</xref>; <xref ref-type="bibr" rid="B34">Liu et&#xa0;al., 2009</xref>). This application depends on the degree of isotopic fractionation between the two aqueous species, boric acid B(OH)<sub>3</sub> and borate ion B(OH)<sub>4</sub>
<sup>&#x2212;</sup>, in seawater, as well as the pH dependence on the relative proportions of the two species (<xref ref-type="fig" rid="f1"><bold>Figure&#xa0;1</bold></xref>), and 20&#x2030; fractionation between the two dissolved boron species was experimentally calculated by <xref ref-type="bibr" rid="B29">Kakihana et&#xa0;al. (1977)</xref>. An important assumption adopted in the calculation is that only the charged species, B(OH)<sub>4</sub>
<sup>&#x2212;</sup>, can be incorporated into calcium carbonates with insignificant fractionation during calcification (<xref ref-type="bibr" rid="B21">Hemming and Hanson, 1992</xref>; <xref ref-type="bibr" rid="B22">Hemming et&#xa0;al., 1995</xref>):</p>
<disp-formula>
<mml:math display="block" id="M1">
<mml:mrow>
<mml:mtext>CaC</mml:mtext>
<mml:msub>
<mml:mtext>O</mml:mtext>
<mml:mn>3</mml:mn>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:mtext>B</mml:mtext>
<mml:msubsup>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mtext>OH</mml:mtext>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mn>4</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
<mml:mo>&#x2194;</mml:mo>
<mml:mtext>Ca</mml:mtext>
<mml:mo stretchy="false">(</mml:mo>
<mml:mtext>HB</mml:mtext>
<mml:msub>
<mml:mtext>O</mml:mtext>
<mml:mn>3</mml:mn>
</mml:msub>
<mml:mo stretchy="false">)</mml:mo>
<mml:mo>+</mml:mo>
<mml:mtext>HC</mml:mtext>
<mml:msubsup>
<mml:mtext>O</mml:mtext>
<mml:mn>3</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mtext>H</mml:mtext>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:mtext>O</mml:mtext>
</mml:mrow>
</mml:math>
</disp-formula>
<fig id="f1" position="float">
<label>Figure&#xa0;1</label>
<caption>
<p>Distribution of <bold>(A)</bold> aqueous boron species and <bold>(B)</bold> boron isotopic composition as a function of pH in solutions. Note that the dashed line indicates modern seawater pH (~8.2), and the &#x3b4;<sup>11</sup>B of modern carbonates falls near the theoretical line of B(OH)<sub>4</sub>
<sup>&#x2212;</sup> species.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-09-877810-g001.tif"/>
</fig>
<p>It is critical to evaluate whether the boron isotopic composition of biogenic carbonates can serve as a reliable oceanic pH proxy. Several lines of evidence support the utility of this tracer based on synthetic (<xref ref-type="bibr" rid="B22">Hemming et&#xa0;al., 1995</xref>) and culture experiments (<xref ref-type="bibr" rid="B52">Sanyal et&#xa0;al., 2001</xref>; <xref ref-type="bibr" rid="B25">H&#xf6;nisch et&#xa0;al., 2004</xref>), which have shown that the boron isotopic composition of biogenic carbonates accurately records variations in seawater pH. On the other hand, boron isotopes in marine carbonates are increasingly used to reconstruct seawater pH and atmospheric pCO<sub>2</sub> through the Earth&#x2019;s history. While isotope ratio measurements from individual laboratories are often of high quality, it is important that records generated in different laboratories can equally be compared (<xref ref-type="bibr" rid="B19">Gutjahr et&#xa0;al., 2021</xref>; <xref ref-type="bibr" rid="B61">Stewart et&#xa0;al., 2021</xref>). Also, there are recent advancements in studying biological effects using sensitive tracers in calcifying fluids (<xref ref-type="bibr" rid="B67">Venn et&#xa0;al., 2013</xref>; <xref ref-type="bibr" rid="B12">Cornwall et&#xa0;al., 2017</xref>; <xref ref-type="bibr" rid="B11">Comeau et&#xa0;al., 2018</xref>); however, those issues are beyond the scope of this study, as we have carefully avoided the tissue layer during our sampling or cleaning processes [see also <xref ref-type="bibr" rid="B38">McCulloch et&#xa0;al. (2017)</xref> for in-depth discussion].</p>
<p>In this study, we established a low blank technique for the precise measurement of &#x3b4;<sup>11</sup>B in coralline skeleton, to establish a high-resolution temporal record of seawater pH, collected from Lanyu Islet, western Pacific. This represents the first use of inter-annual and intra-annual variations in surface ocean pH to understand seasonal CO<sub>2</sub> variation in the atmosphere in this region.</p>
</sec>
<sec id="s2">
<title>Material and methods</title>
<sec id="s2_1">
<title>Geological setting</title>
<p>Lanyu Islet, located offshore of southeast Taiwan (121.6&#xb0;E, 22&#xb0;N) (<xref ref-type="fig" rid="f2"><bold>Figure&#xa0;2</bold></xref>), is an ideal location for high-resolution paleoclimatic study in the western Pacific. Lanyu is within the subtropical climatic zone and is strongly influenced by the East Asia monsoon system. The summer monsoon, a warm and wet season, begins in May with prevailing southwest winds. The winter monsoon, cold and dry, starts in November and is characterized by strong northeast winds originating from the Siberian High Pressure Zone. Heavy rainfall caused by typhoon events often occurs in Lanyu in summer, but no significant riverine discharge can reach Lanyu from Taiwan.</p>
<fig id="f2" position="float">
<label>Figure&#xa0;2</label>
<caption>
<p>Location of the Lanyu Islet. This map shows <bold>(A)</bold> the path of the Kuroshio Current and the East Asian Monsoon and <bold>(B)</bold> the coral coring site off NE Lanyu Islet.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-09-877810-g002.tif"/>
</fig>
<p>The Kuroshio Current, a major western boundary current in the western Pacific, is the most important surface current in the vicinity. It originates from the North Equatorial Current that bifurcates between 12 and 15&#xb0;N in the western Pacific. The northward branch becomes the Kuroshio Current and the southward branch evolves into the Mindanao Current. The Kuroshio Current flows northward along the coasts of Luzon and Taiwan and continues to the shelf edge of the East China Sea. The Kuroshio Current transports warm water from the tropical ocean to mid-latitudes and is an important source of heat for global balance in the atmosphere (<xref ref-type="bibr" rid="B8">Chen et&#xa0;al., 2006</xref>). Its transport flux varies between 5 and 21&#xa0;Sv (Sv&#xa0;=&#xa0;10<sup>6</sup>&#xa0;m<sup>3</sup>&#xa0;s<sup>&#x2212;1</sup>) off western and eastern Lanyu Islet, respectively (<xref ref-type="bibr" rid="B27">Hsin et&#xa0;al., 2008</xref>).</p>
</sec>
<sec id="s2_2">
<title>Sampling and cleaning procedure</title>
<p>A 95-cm core of long-lived massive coral skeleton (<italic>Porites lobata</italic>) was drilled off northeast Lanyu in May 1997 and has been studied carefully for major/trace elements (<xref ref-type="bibr" rid="B72">Yu et&#xa0;al., 2015</xref>). The core was cut into a 1-cm-thick slab, cleaned with distilled water, and X-rayed. Monthly samples were cut along the major growth axis using a microtome, with 0.5-mm increments corresponding to a 1-month resolution (average 20&#xa0;mg). All specimens were crushed using a PE rod and 1&#xa0;mg of subsamples were used for oxygen and carbon isotopic analyses.</p>
<p>Its average extension rate is ~12&#xa0;mm&#xa0;year<sup>&#x2212;1</sup>. Mg/Ca in the Lanyu coral skeletons correlates strongly with sea surface temperature (SST) (<italic>R</italic>
<sup>2</sup>&#xa0;=&#xa0;0.9) and provides better sensitivity than Sr/Ca for temperature reconstruction (<xref ref-type="bibr" rid="B72">Yu et&#xa0;al., 2015</xref>).</p>
<p>The chronology of this coral core is constructed by an SST calibration equation based on the Sr/Ca ratio and the satellite temperature record and corroborated by counting coral X-ray density bands, according to the relationship below:</p>
<disp-formula>
<mml:math display="block" id="M2">
<mml:mrow>
<mml:mtext>Sr</mml:mtext>
<mml:mo stretchy="false">/</mml:mo>
<mml:mtext>Ca&#xa0;</mml:mtext>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mtext>mmol</mml:mtext>
<mml:mo stretchy="false">/</mml:mo>
<mml:mtext>mol</mml:mtext>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
<mml:mo>=</mml:mo>
<mml:mn>9.92</mml:mn>
<mml:mtext>&#xa0;</mml:mtext>
<mml:mo>&#x2212;</mml:mo>
<mml:mtext>&#xa0;</mml:mtext>
<mml:mn>0.04</mml:mn>
<mml:mtext>&#xa0;</mml:mtext>
<mml:mo>*</mml:mo>
<mml:mtext>&#xa0;SST&#xa0;</mml:mtext>
<mml:mo stretchy="false">(</mml:mo>
<mml:mo>&#xb0;</mml:mo>
<mml:mtext>C</mml:mtext>
<mml:mo>;</mml:mo>
<mml:msup>
<mml:mtext>R</mml:mtext>
<mml:mn>2</mml:mn>
</mml:msup>
<mml:mo>=</mml:mo>
<mml:mtext>&#xa0;</mml:mtext>
<mml:mn>0.72</mml:mn>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:math>
</disp-formula>
<p>Despite the potential bias induced by either the time resolution of each coral specimen or the spatial resolution of satellite-derived SST, the variation of temperature with the amplitude of 8&#xb0;C is consistent with the instrumental record of a site nearby Lanyu (<xref ref-type="bibr" rid="B55">Shen et&#xa0;al., 2005</xref>). The slope in the calibration equation also agrees with literature-reported values using the same coral species (<xref ref-type="bibr" rid="B13">Corre`ge, 2006</xref>), with an estimated age uncertainty of&lt;3&#xa0;months (<xref ref-type="bibr" rid="B6">Charles et&#xa0;al., 1997</xref>).</p>
<p>All the cleaning and purification steps were carried out in a class-10 flow hood inside a class-10,000 cleanroom, and the main steps follow that of <xref ref-type="bibr" rid="B24">H&#xf6;nisch and Hemming (2005)</xref>. First, coral powders were bleached with 6%&#x2013;14% sodium hypochlorite (NaOCl), repeatedly rinsed, and ultrasonicated with distilled water at least five times. Then, 0.0075&#xa0;N of double-distilled HNO<sub>3</sub> was added and this was repeated several times. The purified powder was dissolved with excess ultrapure HNO<sub>3</sub> to ensure acidic conditions for the microsublimation technique.</p>
</sec>
<sec id="s2_3">
<title>Boron isotope analysis</title>
<sec id="s2_3_1">
<title>Purification: microsublimation technique</title>
<p>It is necessary to separate B completely from the potential Ca matrix for isotopic determination. A microsublimation technique, modified from <xref ref-type="bibr" rid="B17">Gaillardet et&#xa0;al. (2001)</xref>, was used to extract B from calcium carbonates to circumvent any column separation or complicate a chemical reagent. It is more effective for the purification and also for the elimination of potential contamination (<xref ref-type="bibr" rid="B68">Wang et&#xa0;al., 2020</xref>). Furthermore, this technique reduces the influence of organic matter from the ion exchange resin or the sample itself. A solution, ~40&#xa0;&#xb5;l, was placed on the cover of a 5-ml perfluoroalkoxy (PFA) conical beaker (Savillex, Eden Prairie, Minnesota USA), and heated on a dry bath system (Firefox Dry Bath 6100, Taipei City, Taiwan) for 12&#xa0;h at 98&#xb0;C. In order to eliminate matrix effects, a series of recovery experiments were conducted to assess our B separation under various matrices of Ca- and Na-added solutions (<xref ref-type="bibr" rid="B69">Wang et&#xa0;al., 2010</xref>).</p>
</sec>
<sec id="s2_3_2">
<title>Instrumental analysis</title>
<p>Precise analytical methods for boron isotopic measurements in natural materials have been discussed in detail (<xref ref-type="bibr" rid="B59">Spivack and Edmond, 1986</xref>; <xref ref-type="bibr" rid="B18">Guerrot et&#xa0;al., 2011</xref>). Despite the importance of marine biogenic carbonates for paleoceanographic studies, B isotopic applications are scarce owing to analytical difficulties, which require an accurate and high-precision technique for a small amount of sample (a few nanograms of B). Recent advances in multicollector inductively coupled plasma mass spectrometry (MC-ICP-MS) techniques are capable of precise isotopic analyses for a wide range of samples (<xref ref-type="bibr" rid="B61">Stewart et&#xa0;al., 2021</xref>).</p>
<p>In this study, a precise analytical technique for B isotopic determination in coral skeletons was developed using MC-ICP-MS (Thermo Fisher Neptune, Bremen, Germany) at the Earth Dynamic System Research Center (EDSRC), NCKU. The MC-ICP-MS has more advantages than the traditional thermal ionization mass spectrometry (TIMS). For instance, 1) the required sample amount is relatively small, 2) both the sample throughput and analytical precision are significantly higher than TIMS, and 3) the mass discrimination inherited from the instrument itself can be corrected by the sample-standard bracketing procedure.</p>
<p>A quartz spray dual chamber [Stable Sample Introduction (SSI), ESI] and a 50-&#x3bc;l PFA-ST nebulizer (ESI) were used to minimize boron blank and enhance signal stability. The Ni sampler and skimmer cones were used and the RF power was set at 1,200&#xa0;W. Sample gas was adjusted to 1.05&#x2013;1.10&#xa0;L&#xa0;min<sup>&#x2212;1</sup>, and the flow rates of the cooling gas and auxiliary gas were set at 15.0 and 0.7&#xa0;L&#xa0;min<sup>&#x2212;1</sup>, respectively. The typical sensitivity of B is ~0.7&#x2013;1&#xa0;V for 100&#xa0;ppb at an uptake rate of 60&#xa0;&#x3bc;l&#xa0;min<sup>&#x2212;1</sup>. Ammonia solution was used to reduce the memory effect. Boron isotopes, <sup>11</sup>B and <sup>10</sup>B, were measured simultaneously on H3 and L3 Faraday cups, respectively, and 60 ratios with 6 blocks were collected with 2&#xa0;s integration. Each analysis takes approximately 2&#xa0;min. A quartz spray dual chamber coupled to a 50-&#x3bc;l PFA-ST nebulizer was used for sample introduction.</p>
<p>For most elements, memory effects can be resolved by washing with diluted HNO<sub>3</sub> in the introduction system. In the case of boron, however, the interference cannot be reduced effectively using HNO<sub>3</sub>. As described by <xref ref-type="bibr" rid="B3">Al-Ammar et&#xa0;al. (1999)</xref>, the addition of ammonia solution (NH<sub>4</sub>OH) to the spray chamber of ICP-MS can reduce the absorbability of B-bearing species, thus reducing memory effects more effectively.</p>
<p>Unlike the common internal or external correction for precise isotope determinations, B only has two isotopes and cannot be corrected for the mass bias by traditional normalization methods. The instrumental mass bias correction for B can be carried out by the sample-standard bracketing technique (<xref ref-type="bibr" rid="B2">Aggarwal et&#xa0;al., 2003</xref>), and &#x3b4;<sup>11</sup>B values can be directly calculated by comparing the measured boron isotope ratios to standards. To establish a reliable isotope standard for boron using MC-ICP-MS, &#x3b4;<sup>11</sup>B values of different standard materials were also analyzed by TIMS (Thermo Fisher, Triton T1), in positive ion mode at EDSRC, NCKU. Several reference materials, including synthetic aragonites (AS10, AS30, and AS50), KTP-1 (in-house coral standard), JA-A, and JA-B, were prepared for cross-calibration of &#x3b4;<sup>11</sup>B values measured by MC-ICP-MS and P-TIMS.</p>
</sec>
</sec>
<sec id="s2_4">
<title>Elemental ratios and other isotope analyses</title>
<p>The distribution of trace elements in coral skeletons was analyzed by HR-ICP-MS (Thermo Fisher, Element 2) at EDSRC, NCKU. Both the quartz spray chamber and the PFA nebulizer were used. The sensitivity of the instrument was optimized with a tuning solution by adjusting the operation parameters, such as the XYZ position of the plasma, gas flows, and lens voltages to attend to a maximum and stable signal for <sup>7</sup>Li-<sup>115</sup>In-<sup>238</sup>U, and generally the sensitivity could reach ~0.8&#x2013;1.2&#xa0;&#xd7;&#xa0;10<sup>6</sup>&#xa0;cps&#xa0;ppb<sup>&#x2212;1</sup> for <sup>238</sup>U. Carbon and oxygen isotopes were analyzed by a stable isotope mass spectrometer (Finnigan MAT252, Bremen, Germany) at the State Key Laboratory of Marine Geology, Tongji University.</p>
</sec>
</sec>
<sec id="s3" sec-type="results">
<title>Results</title>
<p>All analytical results obtained in this study, including trace element/Ca ratios and the isotopic compositions of B, O, and C, are summarized in the <xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary Material Table S1</bold>
</xref>. Analytical precision (2<italic>&#x3c3;</italic>) of the coral standard (KTP-1) was 2.1% for B/Ca, 1.6% for Mg/Ca and Sr/Ca, and 6.2% for U/Ca. Carbon and oxygen isotopes were analyzed by a stable isotope mass spectrometer with a precision better than &#xb1;0.10&#x2030;.</p>
<p>These results show a large magnitude of Mg/Ca variation and apparent increases of Mg/Ca, Sr/Ca, and U/Ca, as well as a decreasing trend in &#x3b4;<sup>13</sup>C record. The annual &#x3b4;<sup>11</sup>B variation is around 2&#x2030;, ranging from 23.63&#x2030; to 25.86&#x2030;, during the study period, and the estimated uncertainty of long-term &#x3b4;<sup>11</sup>B measurement is &#xb1;0.25&#x2030; (2SD). The average extension rate is ~12&#xa0;mm/year for this core. As the Mg/Ca in the Lanyu coral skeletons correlates strongly with SST (<italic>R</italic>
<sup>2</sup>&#xa0;=&#xa0;0.9), it provides a better sensitivity than Sr/Ca for temperature reconstruction.</p>
<sec id="s3_1">
<title>Trace elements and isotope composition in corals</title>
<p>The coral temporal resolution in this study was approximately 1&#xa0;month. All data are expressed as 3-month moving averages (<xref ref-type="fig" rid="f3"><bold>Figure&#xa0;3</bold></xref>). The average growth rate is about 12&#xa0;mm&#xa0;year<sup>&#x2212;1</sup> over the analyzed sections in coral skeletons collected from Lanyu. A comparison of the X-radiography with the instrumental temperature shows that the low- and high-density bands were formed in summer and winter, respectively. Seasonal variation of trace element ratios can be seen in the Lanyu corals for B/Ca, Mg/Ca, Sr/Ca, and U/Ca, based on the correlation between these trace elements and satellite temperature in a 7-year-old long-lived massive coral skeleton (<italic>P. lobata</italic>) (1991&#x2013;1997 A.D.). &#x3b4;<sup>18</sup>O, &#x3b4;<sup>13</sup>C, and &#x3b4;<sup>11</sup>B in the coral skeleton also show clear seasonal variability (<xref ref-type="fig" rid="f6"><bold>Figure&#xa0;6</bold></xref>). Note that this plot shows a large magnitude of Mg/Ca variation and apparent upward slopes of Mg/Ca, Sr/Ca, and U/Ca, as well as a decreasing trend in &#x3b4;<sup>13</sup>C record. The annual &#x3b4;<sup>11</sup>B variation is around 2&#x2030;, 23.63&#x2030;&#x2013;25.86&#x2030;, similar to recent results obtained from other coral reefs around the world (<xref ref-type="bibr" rid="B45">Pelejero et&#xa0;al., 2005</xref>; <xref ref-type="bibr" rid="B34">Liu et&#xa0;al., 2009</xref>; <xref ref-type="bibr" rid="B70">Wei et&#xa0;al., 2009</xref>).</p>
<fig id="f3" position="float">
<label>Figure&#xa0;3</label>
<caption>
<p>
<bold>(A)</bold> Moving average (~3&#xa0;months) of the seasonal variation in geochemical proxies (Mg/Ca, Sr/Ca, U/Ca, B/Ca, &#x3b4;<sup>18</sup>O, &#x3b4;<sup>13</sup>C, and &#x3b4;<sup>11</sup>B) of the Lanyu coral records between 1991 and 1997. pH records are estimated from coralline &#x3b4;<sup>11</sup>B. Yellow indicates the tissue layer. <bold>(B)</bold> Data of solar radiation and cloudiness collected from Lanyu and Tai-Tung are plotted with satellite temperature. Solar radiation in Lanyu Island has been recorded since 1993.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-09-877810-g003.tif"/>
</fig>
</sec>
<sec id="s3_2">
<title>Reconstruction of sea surface temperature</title>
<p>Previous studies have reported that B/Ca, Mg/Ca, Sr/Ca, and U/Ca in corals can record SST (<xref ref-type="bibr" rid="B58">Sinclair, 2005</xref>). <xref ref-type="fig" rid="f4"><bold>Figure&#xa0;4</bold></xref> shows the relationships of the trace element ratios versus SST. The correlation coefficients (<italic>r</italic>) varied in a range between 0.90 and 0.64. The Mg/Ca ratios display the highest correlation with the satellite SST. In terms of temperature sensitivity, Mg/Ca variability is much larger than Sr/Ca, potentially a more reliable proxy for SST in the study region. Hence, the following equation was used to estimate SST variations:</p>
<disp-formula>
<mml:math display="block" id="M3">
<mml:mrow>
<mml:mtext>Mg</mml:mtext>
<mml:mo stretchy="false">/</mml:mo>
<mml:mtext>Ca&#x2009;</mml:mtext>
<mml:mo stretchy="false">(</mml:mo>
<mml:mtext>mmol&#x2009;mo</mml:mtext>
<mml:msup>
<mml:mtext>l</mml:mtext>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msup>
<mml:mo stretchy="false">)</mml:mo>
<mml:mo>=</mml:mo>
<mml:mn>0.074</mml:mn>
<mml:mo>&#xd7;</mml:mo>
<mml:mtext>SST</mml:mtext>
<mml:mo stretchy="false">(</mml:mo>
<mml:mo>&#xb0;</mml:mo>
<mml:mtext>C</mml:mtext>
<mml:mo stretchy="false">)</mml:mo>
<mml:mo>+</mml:mo>
<mml:mn>2.57</mml:mn>
<mml:mtext>&#x2003;r</mml:mtext>
<mml:mo>=</mml:mo>
<mml:mn>0.90</mml:mn>
</mml:mrow>
</mml:math>
</disp-formula>
<fig id="f4" position="float">
<label>Figure&#xa0;4</label>
<caption>
<p>Scatter plots for the trace element ratios and SST. The correlation coefficients for these equations are significant, ranging from 0.90 to 0.64.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-09-877810-g004.tif"/>
</fig>
<p>The satellite temperatures were plotted against the coralline Mg/Ca (<xref ref-type="fig" rid="f5"><bold>Figure&#xa0;5</bold></xref>). The mean slope was +0.2&#xb0;C&#xa0;year<sup>&#x2212;1</sup> and &#x394;Mg/Ca-SST showed similar increasing trends, with a slope similar to the satellite temperature change of +0.17&#xb0;C&#xa0;year<sup>&#x2212;1</sup>.</p>
<fig id="f5" position="float">
<label>Figure&#xa0;5</label>
<caption>
<p>Comparison of Mg/Ca-SST record in the Lanyu corals and satellite temperature.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-09-877810-g005.tif"/>
</fig>
<p>On the other hand, the change of pCO<sub>2</sub> in the Lanyu corals was also calculated by estimated TA based on coralline &#x3b4;<sup>18</sup>O (equation II) (<xref ref-type="bibr" rid="B66">Tseng et&#xa0;al., 2007</xref>) and pH (derived from coralline &#x3b4;<sup>11</sup>B) using the CO<sub>2</sub>sys.xls (version 12) program of <xref ref-type="bibr" rid="B46">Pelletier et&#xa0;al. (2005)</xref>.</p>
<disp-formula>
<mml:math display="block" id="M4">
<mml:mrow>
<mml:mtext>I</mml:mtext>
<mml:mo>:</mml:mo>
<mml:mtext>&#xa0;pC</mml:mtext>
<mml:msub>
<mml:mtext>O</mml:mtext>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:mo stretchy="false">(</mml:mo>
<mml:mtext>matm</mml:mtext>
<mml:mo stretchy="false">)</mml:mo>
<mml:mtext>&#xa0;corrected&#xa0;for&#xa0;</mml:mtext>
<mml:mi>&#x394;</mml:mi>
<mml:mi>T</mml:mi>
<mml:mo>=</mml:mo>
<mml:mtext>&#xa0;</mml:mtext>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mtext>pC</mml:mtext>
<mml:msub>
<mml:mtext>O</mml:mtext>
<mml:mrow>
<mml:mn>2</mml:mn>
<mml:mtext>&#xa0;mean</mml:mtext>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
<mml:mtext>&#xa0;exp&#xa0;</mml:mtext>
<mml:mrow>
<mml:mo>[</mml:mo>
<mml:mrow>
<mml:mn>0.0423</mml:mn>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mi>T</mml:mi>
<mml:mrow>
<mml:mtext>obs</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>T</mml:mi>
<mml:mrow>
<mml:mtext>mean</mml:mtext>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
<mml:mo>]</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
</disp-formula><p>where pCO<sub>2 mean</sub> = ~354 &#x3bc;atm and <italic>T</italic>
<sub>mean</sub> = ~26.41&#xb0;C</p>
<disp-formula>
<mml:math display="block" id="M5">
<mml:mrow>
<mml:mtext>II</mml:mtext>
<mml:mo>:</mml:mo>
<mml:mtext>TA&#xa0;</mml:mtext>
<mml:mo stretchy="false">(</mml:mo>
<mml:mtext>umolk</mml:mtext>
<mml:msup>
<mml:mtext>g</mml:mtext>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msup>
<mml:mo stretchy="false">)</mml:mo>
<mml:mtext>&#xa0;</mml:mtext>
<mml:mo>=</mml:mo>
<mml:mtext>&#xa0;</mml:mtext>
<mml:mn>65.7</mml:mn>
<mml:mtext>&#xa0;</mml:mtext>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>S</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mtext>&#xa0;</mml:mtext>
<mml:mn>1</mml:mn>
<mml:mo>+</mml:mo>
<mml:mtext>&#xa0;</mml:mtext>
<mml:mn>2218</mml:mn>
</mml:mrow>
</mml:math>
</disp-formula><p>where <italic>S</italic> is the salinity estimated from &#x3b4;<sup>18</sup>O<sub>coral</sub> and &#x3b4;<sup>18</sup>O<sub>Mg/Ca-SST</sub> using the listed equations below:</p> <disp-formula>
<mml:math display="block" id="M6">
<mml:mrow>
<mml:msup>
<mml:mtext>&#x3b4;</mml:mtext>
<mml:mrow>
<mml:mn>18</mml:mn>
</mml:mrow>
</mml:msup>
<mml:msub>
<mml:mtext>O</mml:mtext>
<mml:mrow>
<mml:mtext>SSS</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:msup>
<mml:mtext>&#x3b4;</mml:mtext>
<mml:mrow>
<mml:mn>18</mml:mn>
</mml:mrow>
</mml:msup>
<mml:msub>
<mml:mtext>O</mml:mtext>
<mml:mrow>
<mml:mtext>coral</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msup>
<mml:mtext>&#x3b4;</mml:mtext>
<mml:mrow>
<mml:mn>18</mml:mn>
</mml:mrow>
</mml:msup>
<mml:msub>
<mml:mtext>O</mml:mtext>
<mml:mrow>
<mml:mtext>Mg</mml:mtext>
<mml:mo stretchy="false">/</mml:mo>
<mml:mtext>Ca</mml:mtext>
<mml:mo>&#x2212;</mml:mo>
<mml:mtext>SST</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mo stretchy="false">(</mml:mo>
<mml:mtext>&#x394;S</mml:mtext>
<mml:mo>=</mml:mo>
<mml:mtext>&#xa0;</mml:mtext>
<mml:mn>0.2</mml:mn>
<mml:mo>&#x2030;</mml:mo>
<mml:mtext>ps</mml:mtext>
<mml:msup>
<mml:mtext>u</mml:mtext>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msup>
<mml:mo stretchy="false">)</mml:mo>
<mml:mo>,</mml:mo>
<mml:mtext>&#xa0;and&#x2009;</mml:mtext>
<mml:msup>
<mml:mtext>&#x3b4;</mml:mtext>
<mml:mrow>
<mml:mn>18</mml:mn>
</mml:mrow>
</mml:msup>
<mml:msub>
<mml:mtext>O</mml:mtext>
<mml:mrow>
<mml:mtext>Mg</mml:mtext>
<mml:mo stretchy="false">/</mml:mo>
<mml:mtext>Ca</mml:mtext>
<mml:mo>&#x2212;</mml:mo>
<mml:mtext>SST</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mtext>&#xa0;</mml:mtext>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>0.1952</mml:mn>
<mml:mtext>&#xa0;</mml:mtext>
<mml:mo>&#xd7;</mml:mo>
<mml:mtext>&#xa0;SST&#xa0;</mml:mtext>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mtext>Mg</mml:mtext>
<mml:mo stretchy="false">/</mml:mo>
<mml:mtext>Ca</mml:mtext>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
<mml:mtext>&#xa0;</mml:mtext>
<mml:mo>+</mml:mo>
<mml:mtext>&#xa0;</mml:mtext>
<mml:mn>0.094</mml:mn>
</mml:mrow>
</mml:math>
</disp-formula>
</sec>
</sec>
<sec id="s4" sec-type="discussion">
<title>Discussion</title>
<sec id="s4_1">
<title>Multiproxies approach</title>
<sec id="s4_1_1">
<title>Factors controlling oxygen and carbon isotopic compositions</title>
<p>&#x3b4;<sup>18</sup>O and &#x3b4;<sup>13</sup>C of corals are common tools in environmental proxy studies. The &#x3b4;<sup>18</sup>O of corals is mainly controlled by seawater temperature and salinity, whereas &#x3b4;<sup>13</sup>C is related to skeletal extension rate, dissolved inorganic carbon, and light availability (<xref ref-type="bibr" rid="B56">Shimamura et&#xa0;al., 2008</xref>). In this study, &#x3b4;<sup>13</sup>C ranged between &#x2212;3.9&#x2030; and &#x2212;1.7&#x2030; and &#x3b4;<sup>18</sup>O varied from &#x2212;5.7&#x2030; to &#x2212;4.3&#x2030;. A clear annual cycle can be seen in both &#x3b4;<sup>18</sup>O and &#x3b4;<sup>13</sup>C; however, the correlation is out-of-phase (<xref ref-type="fig" rid="f3"><bold>Figure&#xa0;3</bold></xref>).</p>
<p>The Lanyu corals grew at a rate of 12&#xa0;mm&#xa0;year<sup>&#x2212;1</sup>, implying that kinetic isotope effects would be relatively constant due to the high skeletal extension rate, exceeding 5&#xa0;mm&#xa0;year<sup>&#x2212;1</sup> (<xref ref-type="bibr" rid="B62">Suzuki et&#xa0;al., 2005</xref>). The negative relationships (<italic>r</italic>&#xa0;=&#xa0;&#x2212;0.73) between &#x3b4;<sup>18</sup>O and &#x3b4;<sup>13</sup>C are consistent with the previous results by <xref ref-type="bibr" rid="B40">Omata et&#xa0;al. (2005)</xref>, suggesting that high solar radiation corresponds to higher seawater temperature, resulting in the out-of-phase pattern for &#x3b4;<sup>18</sup>O and &#x3b4;<sup>13</sup>C in rapidly growing corals. This indicates that the coral skeleton was strongly affected by metabolic effects (photosynthesis) over kinetic effects at Lanyu. Despite the potential metabolic isotope effect playing a main factor to affect &#x3b4;<sup>13</sup>C, the possible influence by seawater &#x3b4;<sup>13</sup>C<sub>DIC</sub> was needed for further evaluation. <xref ref-type="bibr" rid="B33">Lin et&#xa0;al. (1999)</xref> pointed out that the &#x3b4;<sup>13</sup>C<sub>DIC</sub> in surface seawater was slightly lower during the cold season than the warm season around southern Taiwan. It is possible that the &#x3b4;<sup>13</sup>C was affected by seawater &#x3b4;<sup>13</sup>C due to vital effect (<xref ref-type="bibr" rid="B45">Pelejero et&#xa0;al., 2005</xref>). However, more detailed studies are required to further evaluate the relationship between coralline &#x3b4;<sup>13</sup>C and seawater &#x3b4;<sup>13</sup>C<sub>DIC</sub> at decadal timescales.</p>
</sec>
</sec>
<sec id="s4_2">
<title>&#x3b4;<sup>11</sup>B in coralline carbonates</title>
<p>Previous studies have suggested that only [B(OH)<sub>4</sub>
<sup>&#x2212;</sup>] is incorporated into marine calcium carbonates (<xref ref-type="bibr" rid="B22">Hemming et&#xa0;al., 1995</xref>). Therefore, seawater pH values can be estimated from measured &#x3b4;<sup>11</sup>B based on an equilibrium constant <italic>pK<sub>B</sub>
</italic>, and an assumed fractionation factor <italic>&#x3b1;</italic>
<sub>B</sub>, calculated from theoretical and experimental studies (<xref ref-type="bibr" rid="B29">Kakihana et&#xa0;al., 1977</xref>; <xref ref-type="bibr" rid="B31">Klochko et&#xa0;al., 2006</xref>). Then pH can be calculated by the following equation:</p>
<disp-formula><mml:math display="block" id="M7">
<mml:mrow>
<mml:mtext>pH</mml:mtext>
<mml:mo>=</mml:mo>
<mml:mtext>p</mml:mtext>
<mml:msub>
<mml:mtext>K</mml:mtext>
<mml:mtext>B</mml:mtext>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:mtext>log</mml:mtext>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:msup>
<mml:mtext>&#x3b4;</mml:mtext>
<mml:mrow>
<mml:mn>11</mml:mn>
</mml:mrow>
</mml:msup>
<mml:msub>
<mml:mtext>B</mml:mtext>
<mml:mrow>
<mml:mtext>SW</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msup>
<mml:mtext>&#x3b4;</mml:mtext>
<mml:mrow>
<mml:mn>11</mml:mn>
</mml:mrow>
</mml:msup>
<mml:msub>
<mml:mtext>B</mml:mtext>
<mml:mrow>
<mml:mtext>coral</mml:mtext>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mtext>&#x3b1;</mml:mtext>
<mml:mtext>B</mml:mtext>
</mml:msub>
<mml:mo>&#xd7;</mml:mo>
<mml:msup>
<mml:mtext>&#x3b4;</mml:mtext>
<mml:mrow>
<mml:mn>11</mml:mn>
</mml:mrow>
</mml:msup>
<mml:msub>
<mml:mtext>B</mml:mtext>
<mml:mrow>
<mml:mtext>coral</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msup>
<mml:mtext>&#x3b4;</mml:mtext>
<mml:mrow>
<mml:mn>11</mml:mn>
</mml:mrow>
</mml:msup>
<mml:msub>
<mml:mtext>B</mml:mtext>
<mml:mrow>
<mml:mtext>SW</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:msup>
<mml:mrow>
<mml:mn>10</mml:mn>
</mml:mrow>
<mml:mn>3</mml:mn>
</mml:msup>
<mml:mo stretchy="false">(</mml:mo>
<mml:msub>
<mml:mtext>&#x3b1;</mml:mtext>
<mml:mtext>B</mml:mtext>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
</disp-formula>
<p>where &#x3b4;<sup>11</sup>B<sub>SW</sub>&#xa0;=&#xa0;39.5&#x2030;, <italic>pK<sub>B</sub>
</italic>&#xa0;=&#xa0;8.6 at 25&#xb0;C, and <italic>&#x3b1;</italic>
<sub>B</sub>&#xa0;=&#xa0;1.0194.</p>
<p>The fractionation factor for boron isotopes ranges from 1.0176 (<xref ref-type="bibr" rid="B51">Sanchez-Valle et&#xa0;al., 2005</xref>) to 1.030 (<xref ref-type="bibr" rid="B73">Zeebe, 2005</xref>). The uncertainty in the fractionation factor limits the application of <sup>11</sup>B for oceanic pH proxy. More recently, <italic>&#x3b1;</italic>
<sub>B</sub> in seawater has been experimentally determined by <xref ref-type="bibr" rid="B31">Klochko et&#xa0;al. (2006)</xref>. A value of 1.0272&#xa0;&#xb1;&#xa0;0.0006 was obtained using a spectrophotometric approach, and this value differs from the more commonly used value of 1.0194 in paleoceanography applications (<xref ref-type="bibr" rid="B29">Kakihana et&#xa0;al., 1977</xref>). In this study, <italic>&#x3b1;</italic>
<sub>B</sub> was 1.0194 used to calculate seawater pH values from coralline &#x3b4;<sup>11</sup>B because this value gives a better prediction of the borate isotopic composition in seawater in the study region. This scenario is similar with the observations depicted in <xref ref-type="bibr" rid="B37">McCulloch et&#xa0;al. (2018)</xref>, where the coralline carbonates fit better with the Kakihana&#x2019;s fractionation factor and foraminiferal shells or inorganic carbonates agree with the Klochko&#x2019;s curve. In addition, the estimated pH values using <italic>&#x3b1;</italic>
<sub>B</sub>&#xa0;=&#xa0;1.0194 for the Lanyu coral records are consistent with modern instrumental measurement of seawater pH (~8.1), and seasonal variability in seawater pH is similar to modern conditions in the western Pacific (<xref ref-type="bibr" rid="B9">Chou et&#xa0;al., 2007</xref>). In the absence of knowledge regarding the physiological mechanisms controlling coralline &#x3b4;<sup>11</sup>B, the <italic>in-situ</italic> calibration between &#x3b4;<sup>11</sup>B in coral skeletons and ambient seawater pH needs to be evaluated. Unfortunately, continuous records of seawater pH in the area near Lanyu are lacking at this stage.</p>
<sec id="s4_2_1">
<title>Comparison with published &#x3b4;<sup>11</sup>B data in marine biogenic carbonates</title>
<p>Based on the close relationships between marine carbonate chemistry and pCO<sub>2</sub> concentrations, boron isotopic composition of marine biogenic carbonates is the most important geochemical proxy for reconstructing paleo-pH in the ocean (<xref ref-type="bibr" rid="B26">H&#xf6;nisch et&#xa0;al., 2007</xref>; <xref ref-type="bibr" rid="B14">De'ath et&#xa0;al., 2009</xref>). Here, we discuss &#x3b4;<sup>11</sup>B values of different marine biogenic carbonates and interpret the boron isotope excursion in the Lanyu corals.</p>
<p>The &#x3b4;<sup>11</sup>B in marine carbonates fall within the theoretical curve for the borate species in seawater (<xref ref-type="fig" rid="f6">
<bold>Figure&#xa0;6</bold>
</xref>). This observation has been supported by a number of empirical calibration works on planktonic foraminifers (<xref ref-type="bibr" rid="B53">Sanyal et&#xa0;al., 1996</xref>; <xref ref-type="bibr" rid="B52">Sanyal et&#xa0;al., 2001</xref>), scleractinian corals (<xref ref-type="bibr" rid="B20">Hemming et&#xa0;al., 1998</xref>; <xref ref-type="bibr" rid="B25">H&#xf6;nisch et&#xa0;al., 2004</xref>; <xref ref-type="bibr" rid="B45">Pelejero et&#xa0;al., 2005</xref>), and inorganic precipitations (<xref ref-type="bibr" rid="B54">Sanyal et&#xa0;al., 2000</xref>) over a pH range of 7.7 to 9.0. Previous research has shown that variation of boron isotopic composition in marine carbonates was controlled by ambient seawater. Nevertheless, the systematic offset from the theoretical curve suggests that potential effects on the boron isotopic composition may have occurred, possibly due to variation in pH in calcification fluids (<xref ref-type="bibr" rid="B20">Hemming et&#xa0;al., 1998</xref>; <xref ref-type="bibr" rid="B70">Wei et&#xa0;al., 2009</xref>). This indicates that coralline &#x3b4;<sup>11</sup>B may not record ambient seawater pH, but these processes only resulted in slight constant offset between corals and seawaters due to direct seawater supply to the calcification site in corals.</p>
<fig id="f6" position="float">
<label>Figure&#xa0;6</label>
<caption>
<p>pH dependence of the boron isotopic composition of B(OH)<sub>4</sub>
<sup>&#x2212;</sup> based on theoretical <italic>&#x3b1;</italic>
<sub>B</sub>&#xa0;=&#xa0;1.0194 (blue) (<xref ref-type="bibr" rid="B29">Kakihana et&#xa0;al., 1977</xref>) and empirical <italic>&#x3b1;</italic>
<sub>B</sub>&#xa0;=&#xa0;1.0272&#xa0;&#xb1;&#xa0;0.0006 (red) (<xref ref-type="bibr" rid="B31">Klochko et&#xa0;al., 2006</xref>) at 25&#xb0;C. The &#x3b4;<sup>11</sup>B data of scleractinian corals (square), foraminifers (circle), and inorganic calcite precipitation (triangle) are also plotted. Note that most coralline specimens fit better with the Kakihana&#x2019;s curve, but foraminifers and inorganic calcite precipitation agree more with the Klochko&#x2019;s.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-09-877810-g006.tif"/>
</fig>
</sec>
<sec id="s4_2_2">
<title>Controlling factors on coralline &#x3b4;<sup>11</sup>B</title>
<p>Although the boron isotope in biogenic marine carbonates has been used for constructing seawater pH in the past, detailed studies about coralline &#x3b4;<sup>11</sup>B are scarce, especially for high-resolution seasonal variation in &#x3b4;<sup>11</sup>B records (<xref ref-type="bibr" rid="B45">Pelejero et&#xa0;al., 2005</xref>). It is necessary to understand the controlling factors on boron uptake and the isotopic fractionation before applying the coralline &#x3b4;<sup>11</sup>B to reconstruct the seawater pH in the past.</p>
<p>
<xref ref-type="bibr" rid="B20">Hemming et&#xa0;al. (1998)</xref> investigated the seasonal variation in the boron isotopic composition in coral skeletons. Paired analyses of carbon and boron isotopes revealed a clear seasonal variation, displaying the high-density bands having heavier &#x3b4;<sup>11</sup>B and &#x3b4;<sup>13</sup>C in the coral <italic>P. lobata</italic> from Fanning Island, probably reflecting high productivity during the period of high solar insolation. However, the boron and carbon isotope ratios in our corals did not show a similar correlation. Heavier &#x3b4;<sup>11</sup>B together with lighter &#x3b4;<sup>13</sup>C is exhibited in the high-density bands which grew in the cold season (<xref ref-type="fig" rid="f3"><bold>Figure&#xa0;3</bold></xref>). Based on the different patterns of the seasonal fluctuation between two study areas, this effect cannot be used to explain the variation in coralline &#x3b4;<sup>11</sup>B in Lanyu. Culture experiments with two surface corals, <italic>Porites</italic> and <italic>Acropora</italic>, have confirmed that coral skeletons can record the variation of seawater pH (<xref ref-type="bibr" rid="B25">H&#xf6;nisch et&#xa0;al., 2004</xref>; <xref ref-type="bibr" rid="B49">Reynaud et&#xa0;al., 2004</xref>). The experimental studies showed that the &#x3b4;<sup>13</sup>C in cultured corals can be significantly affected by symbiont photosynthetic activity, which is related to light intensity, feeding, and habitat depth. This result is inconsistent with the &#x3b4;<sup>11</sup>B values in the same corals, suggesting that pH variations at the calcification site are rather small relative to the pH-dependent isotopic fractionation. As mentioned above, our coral samples do faithfully record the seawater signal on the seasonal timescale and support the potential use of coral skeleton boron isotopes for reconstructing seawater pH in the past.</p>
</sec>
<sec id="s4_2_3">
<title>High-resolution record of seawater pH around Lanyu Islet</title>
<p>Boron isotopic compositions of the Lanyu corals, ranging from 23.6&#x2030; to 25.1&#x2030;, correspond to seawater pH of 8.0&#x2013;8.2 (<xref ref-type="fig" rid="f3"><bold>Figure&#xa0;3</bold></xref>). These &#x3b4;<sup>11</sup>B-derived pH values from the Lanyu corals are identical to the modern surface seawater pH in the western Pacific. There is a clear decreasing &#x3b4;<sup>11</sup>B trend of &#x2212;0.16&#x2030; if the El Ni&#xf1;o 1991 data are excluded, and it implies that ocean acidification has occurred in the study area (pH change of &#x2212;0.02 unit). The &#x3b4;<sup>11</sup>B records obtained from the Lanyu corals provide the first detailed and high-resolution record of seawater pH in the region, which display low and high values during warm and cold seasons, respectively. This can be explained by seasonal variation in water masses with different pH values, caused by the monsoon climate (<xref ref-type="bibr" rid="B34">Liu et&#xa0;al., 2009</xref>; <xref ref-type="bibr" rid="B70">Wei et&#xa0;al., 2009</xref>) or pCO<sub>2</sub> variations (<xref ref-type="bibr" rid="B63">Takahashi et&#xa0;al., 2002</xref>).</p>
<p>The Kuroshio Current is the most important current around Lanyu Islet. Major water masses at the west side and the east side of 121&#xb0;E are the South China Sea surface water and Kuroshio Current (KC), respectively. The typical water properties of the two water masses are significantly different. The main water mass close to Lanyu Islet is Kuroshio waters, based on the <italic>&#x3b8;</italic>&#x2013;<italic>S</italic> plot (<xref ref-type="bibr" rid="B7">Chen et&#xa0;al., 2007</xref>). <xref ref-type="bibr" rid="B9">Chou et&#xa0;al. (2007)</xref> studied the carbon chemistry of Kuroshio waters off SE Taiwan. Seawater from stations off southeast Taiwan has intermediate values between stations at the West Philippine Sea and the SCS. The pH value of the surface seawater around Lanyu Islet is approximately 8.15, significantly higher than the pH at the SCS (pH&#xa0;=&#xa0;7.96 to 8.10) (<xref ref-type="bibr" rid="B8">Chen et&#xa0;al., 2006</xref>).</p>
<p>The seasonal variability in KC can be linked to the East Asia Monsoon (EAM) climate in the study area. The seawater chemistry is affected by changes in the EAM, which causes SCS seawater entering the KC from the loop current around southern Taiwan. Nevertheless, most KC transport is associated with the path contributed by the east flow of the Lanyu (<xref ref-type="bibr" rid="B27">Hsin et&#xa0;al., 2008</xref>). The loop current probably carries the low pH seawater from the SCS (pH~8.0) to the main KC (West Philippine Sea water, pH&#xa0;~&#xa0;8.2); thus, the pH value of surface seawater will decrease in the winter due to the greater contribution from the SCS. However, this is inconsistent with the seasonal variation in &#x3b4;<sup>11</sup>B-based seawater pH, which is characterized by high pH (high &#x3b4;<sup>11</sup>B) during the cold season. A more detailed assessment on the influence of the SCS waters is necessary for understanding the seawater pH variation around Lanyu.</p>
</sec>
<sec id="s4_2_4">
<title>A comparison of oceanic pCO<sub>2</sub> in the western Pacific</title>
<p>Another possible reason for the change of seawater pH is seasonal pCO<sub>2</sub> variation. Culture experiments on the boron isotopic composition of coral skeletons were carried out at two pCO<sub>2</sub> conditions (~440 vs. ~725&#xa0;ppm) (<xref ref-type="bibr" rid="B49">Reynaud et&#xa0;al., 2004</xref>). Their results indicated that seawater pH changes due to pCO<sub>2</sub> variations can be recorded in coral skeletons. In comparison with the global sea&#x2013;air CO<sub>2</sub> flux study by <xref ref-type="bibr" rid="B63">Takahashi et&#xa0;al. (2002)</xref>, low and high pCO<sub>2</sub> were found during the cold and warm seasons, respectively, and pCO<sub>2</sub> is mainly controlled by the solubility of CO<sub>2</sub> and can be related to seawater temperature. For further evidence of the relationship between pCO<sub>2</sub> and seawater temperature in tropical western Pacific, the variation of pCO<sub>2</sub> caused by temperature effect was estimated using equation I (<xref ref-type="bibr" rid="B63">Takahashi et&#xa0;al., 2002</xref>).</p>
<p>The changes of the estimated pCO<sub>2</sub> from the Lanyu coral record are plotted in <xref ref-type="fig" rid="f7"><bold>Figure&#xa0;7</bold></xref>, showing the correlation of reconstructed pCO<sub>2</sub> record in the study area on the basis of the two estimates derived from SST and TA. Seasonal variability in seawater pCO<sub>2</sub>, with higher pCO<sub>2</sub> at warm seasons (higher SST), can also be found. This observation agrees well with the estimated seawater pH in the Lanyu corals, showing low pH value (or higher pCO<sub>2</sub>) in the warmer SST. Furthermore, the variation of seawater pH is approximately 0.2 units between the cold and warm seasons, which is similar to the previous studies in the western Pacific (<xref ref-type="bibr" rid="B45">Pelejero et&#xa0;al., 2005</xref>). This study suggests that the boron isotopic composition of coral skeletons can be used for studying the relationship between changes in surface seawater chemistry and climate change and further provide important information on ocean acidification and abrupt climate change.</p>
<fig id="f7" position="float">
<label>Figure&#xa0;7</label>
<caption>
<p>The correlation of reconstructed pCO<sub>2</sub> records derived from SST <bold>(A)</bold> and TA <bold>(B)</bold> in Lanyu Island using the CO<sub>2</sub>sys.xls program of <xref ref-type="bibr" rid="B46">Pelletier et&#xa0;al. (2005)</xref>. The seasonal variation in seawater pCO<sub>2</sub> can also be observed, with higher pCO<sub>2</sub> in warm seasons (higher SST) in this study.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-09-877810-g007.tif"/>
</fig>
</sec>
</sec>
</sec>
<sec id="s5" sec-type="data-availability">
<title>Data availability statement</title>
<p>The original contributions presented in the study are included in the article/<xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary Material</bold>
</xref>. Further inquiries can be directed to the corresponding author.</p>
</sec>
<sec id="s6" sec-type="author-contributions">
<title>Author contributions</title>
<p>C-FY contributed to the conception and design of the study and wrote the first draft of the manuscript with P-YL. P-YL and C-FY did the field work. C-FY, ZL, and K-FH provided the instrumental resources. P-YL performed the chemical and isotopic measurements. C-FY and P-YL wrote the manuscript. C-HC maintained the instruments. All authors contributed to manuscript revision and read and approved the submitted version.</p>
</sec>
<sec id="s7" sec-type="acknowledgement">
<title>Acknowledgments</title>
<p>We thank the State Key Laboratory of Marine Geology in Tongji University for analyzing the oxygen and carbon isotopes used in this study. This research was supported by MOST 109-2116-M-006-010 to C-FY.</p>
</sec>
<sec id="s8" sec-type="COI-statement">
<title>Conflict of interest</title>
<p>The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec id="s9" sec-type="disclaimer">
<title>Publisher&#x2019;s note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
</body>
<back>
<sec id="s10" sec-type="supplementary-material">
<title>Supplementary material</title>
<p>The Supplementary Material for this article can be found online at: <ext-link ext-link-type="uri" xlink:href="https://www.frontiersin.org/articles/10.3389/fmars.2022.877810/full#supplementary-material">https://www.frontiersin.org/articles/10.3389/fmars.2022.877810/full#supplementary-material</ext-link>
</p>
<supplementary-material xlink:href="Image_1.tif" id="SF1" mimetype="image/tiff">
<label>Supplementary Figure&#xa0;1</label>
<caption>
<p>Matrix effects in the microsublimation technique. Graphs illustrate <bold>(A)</bold> the recovery and <bold>(B)</bold> isotopic fractionation of boron at different concentration.</p>
</caption>
</supplementary-material>
<supplementary-material xlink:href="Image_2.tif" id="SF2" mimetype="image/tiff">
<label>Supplementary Figure&#xa0;2</label>
<caption>
<p>Average precision of &#x3b4;<sup>11</sup>B measured by MC-ICP-MS (2&#x3c3; = &#xb1; 0.25 &#x2030;) in the IGL laboratory.</p>
</caption>
</supplementary-material>
<supplementary-material xlink:href="Image_3.tif" id="SF3" mimetype="image/tiff">
<label>Supplementary Figure&#xa0;3</label>
<caption>
<p>Cross-calibration of the &#x3b4;<sup>11</sup>B of different inorganic carbonates, KTP-1, JA-A and JA-B, measured by MC-ICP-MS and P-TIMS</p>
</caption>
</supplementary-material>
<supplementary-material xlink:href="Table_1.xlsx" id="SM1" mimetype="application/vnd.openxmlformats-officedocument.spreadsheetml.sheet"/>
</sec>
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