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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.2021.770034</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>Seasonal Variability and Future Projection of Ocean Acidification on the East China Sea Shelf off the Changjiang Estuary</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes">
<name><surname>Guo</surname> <given-names>Xianghui</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="corresp" rid="c001"><sup>&#x002A;</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/631683/overview"/>
</contrib>
<contrib contrib-type="author">
<name><surname>Yao</surname> <given-names>Zhentong</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<xref ref-type="author-notes" rid="fn002"><sup>&#x2020;</sup></xref>
</contrib>
<contrib contrib-type="author">
<name><surname>Gao</surname> <given-names>Ying</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/1119993/overview"/>
</contrib>
<contrib contrib-type="author">
<name><surname>Luo</surname> <given-names>Yaohua</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
</contrib>
<contrib contrib-type="author">
<name><surname>Xu</surname> <given-names>Yi</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/1120581/overview"/>
</contrib>
<contrib contrib-type="author">
<name><surname>Zhai</surname> <given-names>Weidong</given-names></name>
<xref ref-type="aff" rid="aff3"><sup>3</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/218446/overview"/>
</contrib>
</contrib-group>
<aff id="aff1"><sup>1</sup><institution>State Key Laboratory of Marine Environmental Science, College of Ocean and Earth Sciences, Xiamen University</institution>, <addr-line>Xiamen</addr-line>, <country>China</country></aff>
<aff id="aff2"><sup>2</sup><institution>Fujian Provincial Key Laboratory for Coastal Ecology and Environmental Studies, Xiamen University</institution>, <addr-line>Xiamen</addr-line>, <country>China</country></aff>
<aff id="aff3"><sup>3</sup><institution>Institute of Marine Science and Technology, Shandong University</institution>, <addr-line>Qingdao</addr-line>, <country>China</country></aff>
<author-notes>
<fn fn-type="edited-by"><p>Edited by: Anas Ghadouani, University of Western Australia, Australia</p></fn>
<fn fn-type="edited-by"><p>Reviewed by: Liang Zhao, Tianjin University of Science and Technology, China; Bin Wu, First Institute of Oceanography, Ministry of Natural Resources, China</p></fn>
<fn fn-type="present-address" id="fn002"><p><sup>&#x2020;</sup>Present address: Zhentong Yao, National Marine Environmental Monitoring Center, Dalian, China</p></fn>
<corresp id="c001">&#x002A;Correspondence: Xianghui Guo, <email>xhguo@xmu.edu.cn</email></corresp>
<fn fn-type="other" id="fn004"><p>This article was submitted to Coastal Ocean Processes, a section of the journal Frontiers in Marine Science</p></fn>
</author-notes>
<pub-date pub-type="epub">
<day>23</day>
<month>12</month>
<year>2021</year>
</pub-date>
<pub-date pub-type="collection">
<year>2021</year>
</pub-date>
<volume>8</volume>
<elocation-id>770034</elocation-id>
<history>
<date date-type="received">
<day>03</day>
<month>09</month>
<year>2021</year>
</date>
<date date-type="accepted">
<day>15</day>
<month>11</month>
<year>2021</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#x00A9; 2021 Guo, Yao, Gao, Luo, Xu and Zhai.</copyright-statement>
<copyright-year>2021</copyright-year>
<copyright-holder>Guo, Yao, Gao, Luo, Xu and Zhai</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>Ocean acidification (OA) occurs universally in the world&#x2019;s oceans. Marginal seas are facing more serious OA than the open ocean due to strong anthropogenic and natural impacts. This study investigates carbonate dynamics on the East China Sea (ECS) shelf off the Changjiang Estuary using field observations made from 2015 to 2019 that cover all four seasons. In the low productivity cold seasons, the water was well-mixed vertically. The coastal area and the northern ECS were occupied by water characterized by high dissolved inorganic carbon (DIC), low pH<sub>25</sub> (pH at 25&#x00B0;C), and low &#x03A9;<sub><italic>Ar</italic></sub> (saturation state index of aragonite), and influenced by the coastal water from the Yellow Sea (YS). However, during highly productive warm seasons, pH<sub>25</sub> and &#x03A9;<sub><italic>Ar</italic></sub> increased in the surface water but decreased in the bottom water as a result of strong biological DIC uptake in the surface water and CO<sub>2</sub> production by strong organic matter remineralization in the bottom water. Strong remineralization decreased pH<sub>25</sub> and &#x03A9;<sub><italic>Ar</italic></sub> by 0.18 &#x00B1; 0.08 and 0.73 &#x00B1; 0.35 in the hypoxic bottom water in summer, even though the bottom water remained oversaturated with respect to aragonite (&#x03A9;<sub><italic>Ar</italic></sub> &#x003E; 1.0) during the surveys. Under the context of global OA and the strong seasonal acidification, the projected bottom water on the ECS shelf will be corrosive for aragonite by mid-century.</p>
</abstract>
<kwd-group>
<kwd>East China Sea Shelf</kwd>
<kwd>ocean acidification</kwd>
<kwd>seasonal variability</kwd>
<kwd>pH</kwd>
<kwd>saturation state</kwd>
</kwd-group>
<contract-sponsor id="cn001">National Natural Science Foundation of China<named-content content-type="fundref-id">10.13039/501100001809</named-content></contract-sponsor>
<contract-sponsor id="cn002">State Oceanic Administration<named-content content-type="fundref-id">10.13039/501100004872</named-content></contract-sponsor>
<counts>
<fig-count count="14"/>
<table-count count="1"/>
<equation-count count="5"/>
<ref-count count="80"/>
<page-count count="17"/>
<word-count count="10323"/>
</counts>
</article-meta>
</front>
<body>
<sec id="S1">
<title>Highlights</title>
<list list-type="simple">
<list-item>
<label>-</label>
<p>A four-season dataset from the East China Sea (ECS) shelf off the Changjiang estuary shows a conspicuous spatial and seasonal variability in pH and the aragonite saturation state index (&#x03A9;<sub><italic>Ar</italic></sub>).</p>
</list-item>
<list-item>
<label>-</label>
<p>In summer, strong remineralization decreases pH<sub>25</sub> and &#x03A9;<sub><italic>Ar</italic></sub> by up to 0.4 and 1.6, respectively, in hypoxic bottom water; the bottom water will be corrosive for aragonite within 30 years (by the mid-century).</p>
</list-item>
<list-item>
<label>-</label>
<p>The intrusion of coastal current water from the Yellow Sea also drives acidification in coastal ECS water.</p>
</list-item>
</list>
</sec>
<sec id="S2" sec-type="intro">
<title>Introduction</title>
<p>The ocean has sequestered one-third of the anthropogenic CO<sub>2</sub> since the industrial revolution (<xref ref-type="bibr" rid="B49">Sabine et al., 2004</xref>), helping to mitigate global warming. However, the uptake of the anthropogenic CO<sub>2</sub> changes the balance of the ocean&#x2019;s carbonate system, leading to a decrease in pH, carbonate ion concentration, and the saturation state indices of biogenic CaCO<sub>3</sub> minerals, that are collectively called ocean acidification (OA) (<xref ref-type="bibr" rid="B24">Feely et al., 2009</xref>). In the surface ocean, the pH has decreased by 0.1, and the concentration of carbonate has decreased by 30% since the industrial revolution (<xref ref-type="bibr" rid="B8">Caldeira and Wickett, 2003</xref>; <xref ref-type="bibr" rid="B49">Sabine et al., 2004</xref>). Persistent OA might threaten the health of the calcifying organisms (<xref ref-type="bibr" rid="B46">Orr et al., 2005</xref>).</p>
<p>Although marginal seas account for only 7% of the surface area of the global oceans (<xref ref-type="bibr" rid="B26">Gattuso et al., 1998</xref>), they absorb 0.2&#x2013;0.4 Gt C yr<sup>&#x2013;1</sup> of atmospheric CO<sub>2</sub> (<xref ref-type="bibr" rid="B4">Cai, 2011</xref>; <xref ref-type="bibr" rid="B11">Chen et al., 2013</xref>; <xref ref-type="bibr" rid="B19">Dai et al., 2013</xref>; <xref ref-type="bibr" rid="B36">Laruelle et al., 2014</xref>), which accounts for 10&#x2013;22% of the open ocean CO<sub>2</sub> sequestration (1.8&#x2013;2.0 Gt C yr<sup>&#x2013;1</sup>) (<xref ref-type="bibr" rid="B50">Takahashi et al., 2009</xref>; <xref ref-type="bibr" rid="B33">Iida et al., 2015</xref>). The marginal seas dominated by large rivers are generally productive and act as strong CO<sub>2</sub> sinks, such as the Amazon plume (<xref ref-type="bibr" rid="B51">Ternon et al., 2000</xref>; <xref ref-type="bibr" rid="B17">Cooley and Yager, 2006</xref>), the northern Gulf of Mexico (<xref ref-type="bibr" rid="B41">Lohrenz et al., 2008</xref>; <xref ref-type="bibr" rid="B32">Huang et al., 2015</xref>). Sedimentation and subsequent degradation of the organic matter in the subsurface and bottom waters and the sediment consumes oxygen and may lead to hypoxia (<xref ref-type="bibr" rid="B14">Chou et al., 2009b</xref>; <xref ref-type="bibr" rid="B79">Zhu et al., 2011</xref>; <xref ref-type="bibr" rid="B60">Wang et al., 2016</xref>, <xref ref-type="bibr" rid="B58">2017</xref>). As the organic matter remineralization produces free CO<sub>2</sub> and decreases buffering capacity, hypoxia in bottom water is accompanied by enhanced acidification much stronger than that produced by the effect of the invasion of the anthropogenic CO<sub>2</sub> (<xref ref-type="bibr" rid="B6">Cai et al., 2011</xref>; <xref ref-type="bibr" rid="B78">Zhao et al., 2020</xref>). Human activities also enhance OA in the ocean margins (<xref ref-type="bibr" rid="B6">Cai et al., 2011</xref>; <xref ref-type="bibr" rid="B23">Feely et al., 2011</xref>).</p>
<p>The East China Sea (ECS) is a shelf sea dominated by a large river, the Changjiang. It is an effective sink of the atmospheric CO<sub>2</sub> (<xref ref-type="bibr" rid="B54">Tsunogai et al., 1997</xref>, <xref ref-type="bibr" rid="B55">1999</xref>; <xref ref-type="bibr" rid="B15">Chou et al., 2009a</xref>; <xref ref-type="bibr" rid="B53">Tseng et al., 2014</xref>; <xref ref-type="bibr" rid="B30">Guo et al., 2015</xref>; <xref ref-type="bibr" rid="B31">Hu et al., 2017</xref>). Studies of carbonate dynamics on the ECS exist since the 1990s, but most of them focus on surface water and air-sea CO<sub>2</sub> fluxes (<xref ref-type="bibr" rid="B55">Tsunogai et al., 1999</xref>; <xref ref-type="bibr" rid="B52">Tseng et al., 2011</xref>; <xref ref-type="bibr" rid="B30">Guo et al., 2015</xref>). Few focuses on the OA status and saturation state index of CaCO<sub>3</sub> (<xref ref-type="bibr" rid="B6">Cai et al., 2011</xref>; <xref ref-type="bibr" rid="B13">Chou et al., 2013</xref>). <xref ref-type="bibr" rid="B6">Cai et al. (2011)</xref> estimated the acidification resulting from atmospheric CO<sub>2</sub> invasion, organic matter remineralization, and the decrease in buffer capacity. <xref ref-type="bibr" rid="B13">Chou et al. (2013)</xref> reported the saturation state indices of carbonate minerals in the ECS in spring and summer and predicted that ECS bottom water will become corrosive for aragonite between 2075 and 2080. However, the seasonal variability of OA is yet to be addressed. Recently, <xref ref-type="bibr" rid="B69">Xiong et al. (2020)</xref> compared the acidification status of bottom water in the YS to the nearshore ECS off the Changjiang Estuary, but the status of the broader ECS shelf was not surveyed. Although acidification in the ECS is not as serious as in the adjacent YS (<xref ref-type="bibr" rid="B13">Chou et al., 2013</xref>; <xref ref-type="bibr" rid="B76">Zhai et al., 2015</xref>; <xref ref-type="bibr" rid="B74">Zhai, 2018</xref>; <xref ref-type="bibr" rid="B69">Xiong et al., 2020</xref>), understanding the changes in acidification in the near future is of general concern.</p>
<p>In this study, we report seasonal variations in carbonate dynamics and OA based on field observations on the ECS shelf off the Changjiang Estuary. Additionally, the enhanced acidification in the bottom water and relieved acidification in the surface water during the productive warm seasons are addressed. The influence of YS water on ECS acidification is also revealed. Finally, the acidification status in the near future (by the middle of this century) is predicted.</p>
</sec>
<sec id="S3" sec-type="materials|methods">
<title>Materials and Methods</title>
<sec id="S3.SS1">
<title>Study Areas</title>
<p>The ECS is one of the major marginal seas located in the temperate northwestern Pacific (<xref ref-type="fig" rid="F1">Figure 1</xref>). It covers a surface area of 1.25 &#x00D7; 10<sup>6</sup> km<sup>2</sup>, with &#x003E;70% of continental shelf shallower than 200 m (<xref ref-type="bibr" rid="B63">Wang et al., 2000</xref>). Changjiang, the fourth largest river in the world, delivers 940 km<sup>3</sup> of freshwater (<xref ref-type="bibr" rid="B18">Dai and Trenberth, 2002</xref>), 300 &#x00D7; 10<sup>4</sup> t of N, 8 &#x00D7; 10<sup>4</sup> t of P, and 100 &#x00D7; 10<sup>4</sup> t of Si to the ECS annually (<xref ref-type="bibr" rid="B77">Zhang et al., 2007</xref>; <xref ref-type="bibr" rid="B25">Gao et al., 2009</xref>; <xref ref-type="bibr" rid="B39">Li et al., 2014</xref>). The ECS is connected to the YS in the north (<xref ref-type="fig" rid="F1">Figure 1</xref>). The climate is modulated by the East Asian monsoon, and the Kuroshio Current and Changjiang plume mainly dominate mixing on the ECS shelf. The Changjiang plume flows northeastward in summer but southwestward along the China Mainland coastline in winter (<xref ref-type="bibr" rid="B37">Lee and Chao, 2003</xref>). The northward flowing Kuroshio follows the isobaths beyond the shelf break at &#x223C;200 m (<xref ref-type="bibr" rid="B37">Lee and Chao, 2003</xref>; <xref ref-type="bibr" rid="B40">Liu and Gan, 2012</xref>). On the northern ECS shelf, the Yellow Sea Coastal Current (along the coast of Jiangsu Province) flows southward year-round, which brings YS water to the ECS, except in summer, under the influence of the strong southwest monsoon (<xref ref-type="bibr" rid="B73">Yuan et al., 2017</xref>).</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption><p>Topographic map of the East China Sea <bold>(A)</bold> and the distributions of the sampling stations <bold>(B&#x2013;E)</bold>. In panel <bold>(A)</bold>, the dashed line separates the East China Sea (ECS) and the Yellow Sea (YS). CDW (S) is the Changjiang Diluted Water in summer; CDW (W) is the Changjiang Diluted Water in winter; YSCC is the Yellow Sea Coastal Current; TWC is Taiwan Warm Current; TSWC is Tsushima Warm Current. In panels <bold>(B&#x2013;E)</bold>, the letters are the names of the sections.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-08-770034-g001.tif"/>
</fig>
<p>The sea surface temperature (SST) in the ECS is low in winter and early spring but high in summer and early fall (<xref ref-type="bibr" rid="B29">Gong et al., 2003</xref>; <xref ref-type="bibr" rid="B30">Guo et al., 2015</xref>). In addition to the Changjiang input, upwelling of Kuroshio subsurface water is also an important nutrient source to the ECS shelf (<xref ref-type="bibr" rid="B12">Chen and Wang, 1999</xref>). In general, productivity on the ECS shelf is low in winter due to cold temperatures, but high (primary production up to &#x003E; 1 g C m<sup>&#x2013;2</sup> d<sup>&#x2013;1</sup>) during warm seasons, especially in the Changjiang plume (<xref ref-type="bibr" rid="B29">Gong et al., 2003</xref>). Regulated by temperature and phytoplankton productivity, the partial pressure of CO<sub>2</sub> (<italic>p</italic>CO<sub>2</sub>) shows strong seasonal and spatial variations. On the outer ECS shelf, the seasonal variability of surface water <italic>p</italic>CO<sub>2</sub> is dominated by seasonal variations in SST (<xref ref-type="bibr" rid="B30">Guo et al., 2015</xref>), while in the Changjiang plume, freshwater discharge and biological productivity mainly control the surface water <italic>p</italic>CO<sub>2</sub> and air-sea CO<sub>2</sub> fluxes (<xref ref-type="bibr" rid="B53">Tseng et al., 2014</xref>). Overall, <italic>p</italic>CO<sub>2</sub> variability on the ECS shelf is characterized by low values (under-saturation with respect to atmospheric CO<sub>2</sub>) during cold seasons (temperature-dominated) and in productive areas during warm seasons (biology-dominated), while high <italic>p</italic>CO<sub>2</sub> values are observed on the outer shelf in summer (temperature-dominated) (<xref ref-type="bibr" rid="B15">Chou et al., 2009a</xref>,<xref ref-type="bibr" rid="B16">2011</xref>; <xref ref-type="bibr" rid="B53">Tseng et al., 2014</xref>; <xref ref-type="bibr" rid="B30">Guo et al., 2015</xref>).</p>
<p>In summer, in the productive Changjiang plume, strong stratification occurs with low <italic>p</italic>CO<sub>2</sub> and high dissolved oxygen (DO) concentrations in the surface water vs. high <italic>p</italic>CO<sub>2</sub> and low DO concentrations in the subsurface water (<xref ref-type="bibr" rid="B14">Chou et al., 2009b</xref>). Hypoxia in the bottom water occurs in summer in this area (<xref ref-type="bibr" rid="B38">Li et al., 2002</xref>; <xref ref-type="bibr" rid="B59">Wang et al., 2012</xref>). Strong remineralization of marine-sourced organic matter is the major cause of the summer bottom hypoxia (<xref ref-type="bibr" rid="B65">Wei et al., 2007</xref>; <xref ref-type="bibr" rid="B60">Wang et al., 2016</xref>, <xref ref-type="bibr" rid="B58">2017</xref>), although remote drivers, including reduced DO input from Kuroshio Intermediate Water to the ECS bottom water, also play a role (<xref ref-type="bibr" rid="B42">Lui et al., 2014</xref>; <xref ref-type="bibr" rid="B48">Qian et al., 2017</xref>). Hypoxia in bottom water is accompanied by enhanced acidification in summer than the impact of atmospheric CO<sub>2</sub> invasion (<xref ref-type="bibr" rid="B6">Cai et al., 2011</xref>).</p>
</sec>
<sec id="S3.SS2">
<title>Sampling and Measurement Methods</title>
<p>During December 20&#x2013;30 of 2015 (winter cruise), August 3&#x2013;13 of 2016 (summer cruise), November 30&#x2013;December 4 of 2018 (late fall cruise), and April 29&#x2013;May 5 of 2019 (spring cruise), 4&#x2013;7 transects were visited on the ECS shelf off the Changjiang estuary. At each station, salinity and temperature-depth profiles were recorded with a Seabird<sup>&#x00AE;</sup> SBE 917 Conductivity-Temperature-Depth/pressure (CTD) sensor package (Sea Bird Electronics, Washington, United States). At each station, discrete water samples were collected with 5-L Niskin bottles mounted on a rosette sampler.</p>
<p>Subsamples for DO, dissolved inorganic carbon (DIC), and total alkalinity (TA) were taken with Tygon<sup>&#x00AE;</sup> tubing free of air bubbles, with ample sample overflow in order to minimize any contamination from atmospheric O<sub>2</sub> or CO<sub>2</sub>. DO samples were taken with 60 mL biological oxygen demand bottles and fixed with Winkler reagents (<xref ref-type="bibr" rid="B9">Carpenter, 1965</xref>). Samples for DIC and TA measurements were taken into 250 mL borosilicate bottles with ground-glass stoppers and poisoned with 200 &#x03BC;L of saturated HgCl<sub>2</sub> solution, then stored in the dark until analysis.</p>
<p>Dissolved Oxygen samples were measured with the titration method (<xref ref-type="bibr" rid="B21">Dickson and Goyet, 1994</xref>) using a Micrometer Burette (IA281 ABC, 2 mL, Gilmont instruments, IL, United States). A standard KIO<sub>3</sub> solution provided by the Standard Material Center of the Second Institute of Oceanography (Ministry of Natural Resource of the People&#x2019;s Republic of China) was used to standardize the measurements. The precision of the DO measurements was better than &#x00B1;2 &#x03BC;mol kg<sup>&#x2013;1</sup>. Analyses of DIC and TA were done following the methods of <xref ref-type="bibr" rid="B5">Cai et al. (2004)</xref>. DIC was measured by collecting and quantifying the CO<sub>2</sub> released from the sample upon acidification with a non-dispersive infrared detector (Li-Cor 7000) using a DIC Analyzer (Apollo SciTech model AS-C3; Apollo SciTech, DE, United States) with a precision of better than &#x00B1; 2 &#x03BC;mol kg<sup>&#x2013;1</sup>. TA was determined by Gran titration with hydrochloric acid using an automated Alkalinity Titrator (Apollo SciTech model AS-ALK1+; Apollo SciTech, DE, United States) with a precision better than &#x00B1;2 &#x03BC;mol kg<sup>&#x2013;1</sup>. Both DIC and TA were calibrated with the certified reference material provided by Dr. A. G. Dickson of the Scripps Institution of Oceanography to an accuracy of better than &#x00B1;2 &#x03BC;mol kg<sup>&#x2013;1</sup>.</p>
</sec>
<sec id="S3.SS3">
<title>Data Processing</title>
<p>The saturation state index of CaCO<sub>3</sub> (&#x03A9;) was defined as the product of concentrations of Ca<sup>2+</sup> and carbonate (CO<sub>3</sub><sup>2&#x2013;</sup>) ions divided by the apparent solubility product of CaCO<sub>3</sub> (K<sub><italic>sp</italic></sub>&#x002A;) (Equation 1).</p>
<disp-formula id="S3.E1"><label>(1)</label><mml:math id="M1"><mml:mrow><mml:mpadded width="+3.3pt"><mml:mi mathvariant="normal">&#x03A9;</mml:mi></mml:mpadded><mml:mo rspace="5.8pt">=</mml:mo><mml:mfrac><mml:mrow><mml:mrow><mml:mo>[</mml:mo><mml:msup><mml:mtext>Ca</mml:mtext><mml:mrow><mml:mpadded width="+3.3pt"><mml:mn>2</mml:mn></mml:mpadded><mml:mo rspace="5.8pt">+</mml:mo></mml:mrow></mml:msup><mml:mo rspace="5.8pt">]</mml:mo></mml:mrow><mml:mo rspace="5.8pt">&#x00D7;</mml:mo><mml:msubsup><mml:mtext>[CO</mml:mtext><mml:mn>3</mml:mn><mml:mrow><mml:mn>2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup><mml:mo stretchy="false">]</mml:mo></mml:mrow><mml:msubsup><mml:mtext>K</mml:mtext><mml:mrow><mml:mtext>sp</mml:mtext></mml:mrow><mml:mo>&#x002A;</mml:mo></mml:msubsup></mml:mfrac></mml:mrow></mml:math></disp-formula>
<p>The K<sub>sp</sub>&#x002A; of CaCO<sub>3</sub> (aragonite and calcite) was calculated according to <xref ref-type="bibr" rid="B45">Mucci (1983)</xref>. The value, &#x03A9; &#x003E; 1 favors precipitation, while &#x03A9;&#x003C; 1 favors dissolution. As aragonite is more soluble than calcite and their distribution patterns are similar (<xref ref-type="bibr" rid="B43">Millero, 2013</xref>), we only report the saturation state index of aragonite (&#x03A9;<sub><italic>Ar</italic></sub>) in this study.</p>
<p>The program CO2SYS (Version 14, <xref ref-type="bibr" rid="B47">Pierrot et al., 2006</xref>) was used to calculate the &#x03A9;<sub><italic>Ar</italic></sub>, pH at 25&#x00B0;C and at <italic>in situ</italic> temperatures at the total hydrogen scale (pH<sub>25</sub> and pH<sub><italic>in</italic>&#x2013;situ</sub> hereafter), and CO<sub>3</sub><sup>2&#x2013;</sup> concentrations. The dissolution constants of carbonic acid are derived from <xref ref-type="bibr" rid="B44">Millero et al. (2006)</xref>; the CO<sub>2</sub> solubility coefficient is derived from <xref ref-type="bibr" rid="B68">Weiss (1974)</xref>; the sulfate dissociation constant is derived from <xref ref-type="bibr" rid="B20">Dickson (1990)</xref>. The relationship of total boron with salinity is derived from <xref ref-type="bibr" rid="B56">Uppstrom (1974)</xref>, and the PO<sub>4</sub><sup>3&#x2013;</sup> and SiO<sub>2</sub> data are derived from Guo et al. (unpublished data).</p>
<p>DIC, pH<sub>25</sub>, and &#x03A9;<sub><italic>Ar</italic></sub> at CO<sub>2</sub> equilibration with the atmosphere were calculated from TA and atmospheric <italic>p</italic>CO<sub>2</sub> in cold seasons using the CO2SYS program (Version 14, <xref ref-type="bibr" rid="B47">Pierrot et al., 2006</xref>). The constant selections were the same as used in the calculations above. Excess DIC (DIC<sub>excess</sub>) is defined as the difference between the observed DIC (DIC<sub>obs</sub>) concentration and the DIC concentration when CO<sub>2</sub> is in equilibrium with the atmosphere (DIC<sub>equ</sub>) (<xref ref-type="bibr" rid="B7">Cai et al., 2020</xref>). Similarly, the pH<sub>25</sub> and &#x03A9;<sub><italic>Ar</italic></sub> changes due to biogeochemical processes (&#x0394;pH<sub>25</sub> and &#x0394;&#x03A9;<sub><italic>Ar</italic></sub>) are defined as the differences between the observed values and the values at equilibrium with atmospheric CO<sub>2</sub>. The average atmospheric <italic>p</italic>CO<sub>2</sub> (390 &#x03BC;atm) during the late fall and winter cruises was taken as the atmospheric <italic>p</italic>CO<sub>2</sub> during cold seasons before water column stratification (Guo et al., unpublished data).</p>
<disp-formula id="S3.E2"><label>(2)</label><mml:math id="M2"><mml:mrow><mml:mi>DIC</mml:mi><mml:mmultiscripts><mml:mo rspace="5.8pt">=</mml:mo><mml:mprescripts/><mml:mrow><mml:mtext>excess</mml:mtext></mml:mrow><mml:none/></mml:mmultiscripts><mml:mi>DIC</mml:mi><mml:mmultiscripts><mml:mo rspace="5.8pt">-</mml:mo><mml:mprescripts/><mml:mrow><mml:mtext>obs</mml:mtext></mml:mrow><mml:none/></mml:mmultiscripts><mml:mi>DIC</mml:mi><mml:msub><mml:mi/><mml:mrow><mml:mtext>equ</mml:mtext></mml:mrow></mml:msub></mml:mrow></mml:math></disp-formula>
<disp-formula id="S3.E3"><label>(3)</label><mml:math id="M3"><mml:mrow><mml:mi mathvariant="normal">&#x0394;</mml:mi><mml:mi>pH</mml:mi><mml:mmultiscripts><mml:mo rspace="5.8pt">=</mml:mo><mml:mprescripts/><mml:mn>25</mml:mn><mml:none/></mml:mmultiscripts><mml:mi>pH</mml:mi><mml:mmultiscripts><mml:mo rspace="5.8pt">-</mml:mo><mml:mprescripts/><mml:mn>25</mml:mn><mml:none/></mml:mmultiscripts><mml:mi>pH</mml:mi><mml:mmultiscripts><mml:mo>,</mml:mo><mml:mprescripts/><mml:mn>25</mml:mn><mml:none/></mml:mmultiscripts><mml:msub><mml:mi/><mml:mrow><mml:mtext>equ</mml:mtext></mml:mrow></mml:msub></mml:mrow></mml:math></disp-formula>
<disp-formula id="S3.E4"><label>(4)</label><mml:math id="M4"><mml:mrow><mml:mi mathvariant="normal">&#x0394;</mml:mi><mml:mi mathvariant="normal">&#x03A9;</mml:mi><mml:mmultiscripts><mml:mo rspace="5.8pt">=</mml:mo><mml:mprescripts/><mml:mi>Ar</mml:mi><mml:none/></mml:mmultiscripts><mml:mi mathvariant="normal">&#x03A9;</mml:mi><mml:mmultiscripts><mml:mo rspace="5.8pt">-</mml:mo><mml:mprescripts/><mml:mi>Ar</mml:mi><mml:none/></mml:mmultiscripts><mml:mi mathvariant="normal">&#x03A9;</mml:mi><mml:mmultiscripts><mml:mo>,</mml:mo><mml:mprescripts/><mml:mi>Ar</mml:mi><mml:none/></mml:mmultiscripts><mml:msub><mml:mi/><mml:mrow><mml:mtext>equ</mml:mtext></mml:mrow></mml:msub></mml:mrow></mml:math></disp-formula>
<p>In the above equations, the subscript &#x201C;equ&#x201D; means CO<sub>2</sub> at equilibrium with the atmosphere.</p>
<p>Apparent oxygen utilization (AOU) is defined as the difference between saturated oxygen concentrations (DO<sub><italic>sat</italic></sub>) and the observed DO (DO<sub>obs</sub>) concentrations. DO<sub><italic>sat</italic></sub> was calculated according to the empirical formula of <xref ref-type="bibr" rid="B2">Benson and Krause (1984)</xref>.</p>
<disp-formula id="S3.E5"><label>(5)</label><mml:math id="M5"><mml:mrow><mml:mpadded width="+3.3pt"><mml:mi>AOU</mml:mi></mml:mpadded><mml:mo rspace="5.8pt">=</mml:mo><mml:mi>DO</mml:mi><mml:mmultiscripts><mml:mo rspace="5.8pt">-</mml:mo><mml:mprescripts/><mml:mi>sat</mml:mi><mml:none/></mml:mmultiscripts><mml:mi>DO</mml:mi><mml:msub><mml:mi/><mml:mrow><mml:mtext>obs</mml:mtext></mml:mrow></mml:msub></mml:mrow></mml:math></disp-formula>
</sec>
</sec>
<sec id="S4" sec-type="results">
<title>Results</title>
<sec id="S4.SS0.SSS1">
<title>Hydrologic Setting</title>
<p>Freshwater discharge from the Changjiang varied seasonally between high discharge (up to &#x003E; 40,000 m<sup>3</sup> s<sup>&#x2013;1</sup>) in summer and low discharge (&#x003C;20,000 m<sup>3</sup> s<sup>&#x2013;1</sup>) in winter, with spring and fall as transitional seasons. During our summer and winter cruises, Changjiang water discharge rates were 40 and 63% higher than the long-term averages, respectively, while discharge rates during the spring and late fall cruises were similar to those of the long-term averages (<xref ref-type="fig" rid="F2">Figure 2</xref>). River discharge has a large influence on the seasonal variability and spatial variations of primary production and CO<sub>2</sub> parameters on the ECS shelf (<xref ref-type="bibr" rid="B28">Gong et al., 2000</xref>, <xref ref-type="bibr" rid="B27">2006</xref>; <xref ref-type="bibr" rid="B53">Tseng et al., 2014</xref>).</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption><p>Freshwater discharge of the Changjiang River at the Datong Hydrological Station (Ministry of Water Resources of the People&#x2019;s Republic of China, <ext-link ext-link-type="uri" xlink:href="http://xxfb.hydroinfo.gov.cn/">http://xxfb.hydroinfo.gov.cn/</ext-link>). The gray bars show the 2005&#x2013;2018 monthly average discharges, while the black bars show the months of the cruises in this study.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-08-770034-g002.tif"/>
</fig>
<p>Generally, SST was the lowest in winter and the highest in summer, with spring and fall as transitional seasons. The Changjiang freshwater discharge and the monsoon-dominated coastal current influenced the seasonal variations in sea surface salinity (SSS), with high values in winter but relatively lower values in summer.</p>
<p>In winter, salinity ranged from 25.6 to 34.5 and water temperatures ranged from 10.7 to 20.2&#x00B0;C. Lower temperatures were measured in the nearshore area and temperatures increased southeastward (<xref ref-type="fig" rid="F3">Figure 3A-1</xref>). As winter was dominated by a strong northeastern monsoon, the river plume was oriented southwest along the China Mainland coast. Salinity increased southeastward and the highest values were observed in the southeastern area (<xref ref-type="fig" rid="F3">Figure 3A-2</xref>), indicating the influence of the Kuroshio Current. Vertically, the water was well-mixed over almost the entire inner ECS shelf. Both temperature and salinity increased southward and eastward (<xref ref-type="fig" rid="F4">Figures 4A-1,B-1</xref>).</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption><p>Spatial distributions of temperature, salinity, TA, DIC, pH<sub>25</sub>, pH<sub><italic>in</italic>&#x2013;situ</sub>, &#x03A9;<sub><italic>Ar</italic></sub>, and DO saturation degree (%) in surface water sampled during different seasons.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-08-770034-g003.tif"/>
</fig>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption><p>Cross-sectional distributions of temperature (Temp., &#x00B0;C), salinity, TA (&#x03BC;mol kg<sup>&#x2013; 1</sup>), DIC (&#x03BC;mol kg<sup>&#x2013; 1</sup>), pH<sub>25</sub>, &#x03A9;<sub><italic>Ar</italic></sub>, DO (&#x03BC;mol kg<sup>&#x2013; 1</sup>), and DO saturation degree (DO sat., %) along with transect A during the winter cruise (<bold>A-1&#x2013;H-1</bold>) and transect H during the spring cruise <bold>(A-2&#x2013;H-2)</bold>. Distance 0 is the nearshore-most station.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-08-770034-g004.tif"/>
</fig>
<p>In spring, SSTs increased to 16.8&#x2013;24.9&#x00B0;C with higher values in the southeastern area (<xref ref-type="fig" rid="F3">Figure 3B-1</xref>). The plume extended offshore and covered a larger area than in winter. SSS decreased in the area off the Changjiang Estuary and the inshore area to less than 32. A high salinity greater than 33 was observed only in the southeastern area (<xref ref-type="fig" rid="F3">Figure 3B-2</xref>). Vertically, the water was partially stratified. The temperature of the surface water was 17.5&#x2013;18.1&#x00B0;C, which was conspicuously higher than the subsurface water (&#x003C;17.5&#x00B0;C, <xref ref-type="fig" rid="F4">Figure 4A-2</xref>). Salinity was low in the whole water column in the inshore area (&#x003C;30), but was stratified in the offshore area where salinity was 30&#x2013;32.5 at the surface and increased with depth to 34.2&#x2013;34.6 at 20 m (<xref ref-type="fig" rid="F4">Figure 4B-2</xref>).</p>
<p>In summer, SST further increased from 24.1 to 30.3&#x00B0;C, with lower values near the Changjiang Estuary (<xref ref-type="fig" rid="F3">Figure 3C-1</xref>). SSS further decreased in the northern ECS with the lowest value of 18.6 observed near the Changjiang Estuary. The ECS water was strongly stratified with a high salinity of 33.5&#x2013;34.6 in the bottom beyond the Estuary (<xref ref-type="fig" rid="F5">Figure 5B-1</xref>). The temperature of the bottom water was 10.4&#x2013;24.5&#x00B0;C, which was generally much lower than the surface water (<xref ref-type="fig" rid="F5">Figure 5A-1</xref>). The relatively low temperature of the bottom water in the center of the northern ECS was consistent with the observations of <xref ref-type="bibr" rid="B62">Wang and Chen (1998)</xref>, who suggested that it was a remnant winter water.</p>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption><p>Cross-sectional distributions of temperature (Temp., &#x00B0;C), salinity, TA (&#x03BC;mol kg<sup>&#x2013; 1</sup>), DIC (&#x03BC;mol kg<sup>&#x2013; 1</sup>), pH<sub>25</sub>, &#x03A9;<sub><italic>Ar</italic></sub>, DO (&#x03BC;mol kg<sup>&#x2013; 1</sup>), and DO saturation degree (DO sat., %) along with transect C during the summer cruise <bold>(A-1&#x2013;H-1)</bold> and transect B during the fall cruise <bold>(A-2&#x2013;H-2)</bold>. Distance 0 is the nearshore-most station.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-08-770034-g005.tif"/>
</fig>
<p>As our late fall cruise was conducted in late November and early December, the hydrologic characteristics were similar to those in winter but with relatively higher temperatures and weak stratification (<xref ref-type="fig" rid="F3">Figures 3D-1,D-2</xref>, <xref ref-type="fig" rid="F5">5A-2,B-2</xref>). Temperatures ranged from 15.2 to 21.3&#x00B0;C and salinity ranged from 20.6 to 33.9 during our late fall cruise.</p>
</sec>
<sec id="S4.SS1">
<title>Spatial and Seasonal Variations in Carbonate Parameters and Dissolved Oxygen</title>
<sec id="S4.SS1.SSS1">
<title>Seasonal Variations in Surface Water</title>
<p>The carbonate parameters in the surface water showed strong seasonal and spatial variations. Generally, their spatial distributions were influenced by Changjiang plume water characterized by low DIC and TA, YS Coastal Water characterized by high DIC and TA, and by biogeochemical processes (photosynthesis, respiration, etc.). Among the seasons, TA and DIC were the highest in winter and late fall and the lowest in summer, with spring as the transitional season. The seasonal variations of pH<sub>25</sub> and &#x03A9;<sub><italic>Ar</italic></sub> were opposite to those of DIC (<xref ref-type="fig" rid="F3">Figure 3</xref>).</p>
<p>In winter, TA and DIC ranged from 2129.2 to 2304.9 and 1987.1 to 2128.6 &#x03BC;mol kg<sup>&#x2013;1</sup>, respectively. Generally, the distribution of TA was similar to that of salinity, and TA at the Changjiang Estuary was the highest. DIC in the northern coastal area (&#x003E;2,020 &#x03BC;mol kg<sup>&#x2013;1</sup>) was much higher than in the southern area (&#x003C;2,000 &#x03BC;mol kg<sup>&#x2013;1</sup>), which showed the influence of the YS water carried by the southward Yellow Sea Coastal Current. pH<sub>25</sub> and pH<sub><italic>in</italic>&#x2013;situ</sub> ranged from 7.85 to 8.03 and from 8.02 to 8.12, respectively. The spatial distribution of pH<sub>25</sub> was opposite to DIC patterns, with lower values in the coastal area. In contrast, pH<sub><italic>in</italic>&#x2013;situ</sub> was relatively homogeneous spatially, showing the influence of the thermodynamics of the carbonate system. Low temperatures increase the solubility of CO<sub>2</sub> and therefore increase pH<sub><italic>in</italic>&#x2013;situ</sub> values; SST in the nearshore and northern areas was low, so the pH<sub><italic>in</italic>&#x2013;situ</sub> values increased (compared to pH<sub>25</sub>), thereby decreasing the spatial differences. The spatial distribution of &#x03A9;<sub><italic>Ar</italic></sub>, with a range of 1.72&#x2013;3.11 (<xref ref-type="fig" rid="F3">Figure 3</xref>), was similar to that of pH<sub>25</sub>. The degree of DO saturation was fairly homogeneous horizontally at 93.8&#x2013;99.4%.</p>
<p>In summer, both TA and DIC in surface waters (1999.7&#x2013;2276.6 and 1945.8&#x2013;2094.7 &#x03BC;mol kg<sup>&#x2013;1</sup>, respectively) were the lowest among the four seasons, and their spatial distributions were completely different from those in winter. The TA distribution was similar to that of salinity, showing the dominant influence of the dilution of Changjiang freshwater. Although DIC in the Changjiang plume was also low, the area of the low-DIC patch was larger than the low-TA patch, accompanied by a high pH<sub>25</sub> (8.11&#x2013;8.64) and the degree of DO saturation (up to &#x003E; 120%), suggesting a strong phytoplankton uptake of DIC. In the nearshore area of the northern two sections, the DIC was the highest, but pH<sub>25</sub>, pH<sub><italic>in situ</italic></sub>, and the DO saturation degree were the lowest (<xref ref-type="fig" rid="F3">Figures 3C-5,C-6,C-8</xref>). The spatial distribution of &#x03A9;<sub><italic>Ar</italic></sub> was similar to that of pH<sub>25</sub>. For the surface water of the entire study area, ranges of pH<sub>25</sub>, pH<sub><italic>in</italic>&#x2013;situ</sub>, and &#x03A9;<sub><italic>Ar</italic></sub> were 7.74&#x2013;8.64, 7.76&#x2013;8.64, and 1.64&#x2013;6.82, respectively. The spatial distributions of DIC and DO generally were opposite, suggesting the influence of biological processes.</p>
<p>The carbonate parameter distributions in spring were transitional between winter and summer. In the coastal zone, the relatively high DIC and TA values were mitigated during these seasons in our surveyed area (<xref ref-type="fig" rid="F3">Figures 3B-3,B-4</xref>). The influence of YS water in spring was observed in April&#x2013;May of 2007 (<xref ref-type="bibr" rid="B75">Zhai et al., 2014</xref>), which was consistent with the seasonal variability of the YS Coastal Current which flows southward except in summer (<xref ref-type="bibr" rid="B67">Wei et al., 2016</xref>; <xref ref-type="bibr" rid="B73">Yuan et al., 2017</xref>). The weak influence of the high-DIC and high-TA YS Coastal Water during our survey might be due to the fact that our surveyed area was south of the Changjiang Estuary. As our late fall survey was conducted in late November and early December, the distributions of carbonate parameters during our late fall cruise were more similar to those observed in winter. The values of pH<sub>25</sub>, pH<sub><italic>in situ</italic></sub>, and &#x03A9;<sub><italic>Ar</italic></sub> ranged from 7.86&#x2013;8.17, 7.95&#x2013;8.28, and 1.84&#x2013;3.67 in spring, and from 7.83&#x2013;8.07, 7.93&#x2013;8.14, and 1.56&#x2013;3.28 in fall, respectively.</p>
</sec>
<sec id="S4.SS1.SSS2">
<title>Vertical Distributions of Measured Parameters</title>
<p>In winter, all the carbonate parameters and DO were vertically homogeneous in the surveyed area. TA ranged from 2,129.2 to 2,304.9 &#x03BC;mol kg<sup>&#x2013;1</sup>. In the 32&#x00B0;N section, the highest TA was in the coastal area (&#x003E;2,300 &#x03BC;mol kg<sup>&#x2013;1</sup>) and decreased offshore to 2,230&#x2013;2,250 &#x03BC;mol kg<sup>&#x2013;1</sup> in the open ECS (<xref ref-type="fig" rid="F5">Figure 4C-1</xref>). The DIC also decreased from the coastal area (&#x003E;2,100 &#x03BC;mol kg<sup>&#x2013;1</sup>) offshore to less than 2,050 &#x03BC;mol kg<sup>&#x2013;1</sup> in the open ECS, showing the influences of YS Coastal Water in the coastal area and the Kuroshio at the shelf break. The values of pH<sub>25</sub> and &#x03A9;<sub><italic>Ar</italic></sub> ranged from 7.85 to 8.03 and from 1.72 to 3.11, respectively. Distributions of pH<sub>25</sub> and &#x03A9;<sub><italic>Ar</italic></sub>, both of which increased eastward from the coastal area (<xref ref-type="fig" rid="F4">Figure 4</xref>), were opposite to that of DIC. DO concentrations ranged from 217.2 to 282.3 &#x03BC;mol kg<sup>&#x2013;1</sup>, with high values in the coastal area decreasing offshore, while the degree of DO saturation was horizontally fairly homogeneous and near saturation with the atmosphere (93.8&#x2013;99.4%, <xref ref-type="fig" rid="F4">Figure 4</xref>).</p>
<p>In summer, the ECS water was stratified except in the Changjiang Estuary where TA was vertically homogenous. The Changjiang plume, characterized by low TA (&#x003C;2,200 &#x03BC;mol kg<sup>&#x2013;1</sup>), occupied the surface water of the ECS, but TA in the high-salinity bottom water was high (2,210&#x2013;2,300 &#x03BC;mol kg<sup>&#x2013;1</sup>, <xref ref-type="fig" rid="F5">Figure 5C-1</xref>). For DIC, the vertical gradient was much larger. DIC was low in surface water (1,545&#x2013;2,095 &#x03BC;mol kg<sup>&#x2013;1</sup>), but very high in the subsurface and bottom water (2,210&#x2013;2,295 &#x03BC;mol kg<sup>&#x2013;1</sup>, <xref ref-type="fig" rid="F5">Figure 5D-1</xref>). Spatial distributions of pH<sub>25</sub> and &#x03A9;<sub><italic>Ar</italic></sub> were opposite to that of DIC. The values of pH<sub>25</sub> and &#x03A9;<sub><italic>Ar</italic></sub> in the surface water of the Changjiang plume were very high (up to 8.64 and 6.82, respectively), while they were very low in the bottom water (7.60&#x2013;7.93 and 1.27&#x2013;2.45). The value of DO was high in surface water (236.0&#x2013;300.0 &#x03BC;mol kg<sup>&#x2013;1</sup>, 115.5&#x2013;144.4%) except in the nearshore area, but low in the bottom water (3.3&#x2013;203.1 &#x03BC;mol kg<sup>&#x2013;1</sup>, 1.5&#x2013;80.1%). The low DO in the surface water of the inshore area (<xref ref-type="fig" rid="F5">Figures 5G-1,H-1</xref>) might be due to the mixing of the subsurface water under the influence of local upwelling, as indicated by salinity (<xref ref-type="fig" rid="F5">Figure 5B-1</xref>). The hypoxic bottom water we observed is consistent with several other observations of summer hypoxia in the region (<xref ref-type="bibr" rid="B38">Li et al., 2002</xref>; <xref ref-type="bibr" rid="B10">Chen et al., 2007</xref>; <xref ref-type="bibr" rid="B65">Wei et al., 2007</xref>, <xref ref-type="bibr" rid="B66">2015</xref>; <xref ref-type="bibr" rid="B59">Wang et al., 2012</xref>; <xref ref-type="bibr" rid="B80">Zhu et al., 2017</xref>).</p>
<p>In spring, TA in the inshore area was relatively high (2,179&#x2013;2,204 &#x03BC;mol kg<sup>&#x2013;1</sup>), which might be due to the fact that the surveyed area is south of the Changjiang Estuary and the influence of the Changjiang plume was weaker. In the nearshore area, pH<sub>25</sub> and &#x03A9;<sub><italic>Ar</italic></sub> were low in both the surface and subsurface water, while they were higher in the surface than in the subsurface water of the offshore area (<xref ref-type="fig" rid="F4">Figures 4E-2,F-2</xref>). In late fall, the water was almost well-mixed vertically (<xref ref-type="fig" rid="F5">Figures 5A-2&#x2013;H-2</xref>), similar to the case in winter.</p>
</sec>
</sec>
</sec>
<sec id="S5" sec-type="discussion">
<title>Discussion</title>
<sec id="S5.SS1">
<title>Dominant Control of Total Alkalinity/Dissolved Inorganic Carbon Ratio on pH<sub>25</sub> and &#x03A9;<sub><italic>Ar</italic></sub></title>
<p>On the ECS shelf, pH<sub>25</sub> and &#x03A9;<sub><italic>Ar</italic></sub> decreased along with a decreasing ratio of TA/DIC throughout the whole water column during all seasons (<xref ref-type="fig" rid="F6">Figures 6A,B</xref>). From Equation 1, &#x03A9;<sub><italic>Ar</italic></sub> is dominated by the concentrations of Ca<sup>2+</sup> and CO<sub>3</sub><sup>2&#x2013;</sup> and K<sub><italic>sp</italic></sub>&#x002A;. On the ECS shelf, Ca<sup>2+</sup> concentrations and K<sub><italic>sp</italic></sub>&#x002A; increased synchronously along with the decrease in the temperature and increase in the salinity and/or depth. Using the summer dataset as an example, the relative variability of K<sub><italic>sp</italic></sub>&#x002A; was found to be 13.7%, and the relative variability of Ca<sup>2+</sup> concentration was 11.1%. As Ca<sup>2+</sup> concentration and K<sub><italic>sp</italic></sub>&#x002A; increase or decrease synchronously, the relative variability of [Ca<sup>2+</sup>]/K<sub><italic>sp</italic></sub>&#x002A; ratios were as low as 3.4%. However, the relative variability of [CO<sub>3</sub><sup>2&#x2013;</sup>] was 38.4%. Therefore, the [Ca<sup>2+</sup>]/K<sub><italic>sp</italic></sub>&#x002A; ratio was relatively invariant compared to the variability of [CO<sub>3</sub><sup>2&#x2013;</sup>], and the variability of &#x03A9;<sub><italic>Ar</italic></sub> depended on the variability of [CO<sub>3</sub><sup>2&#x2013;</sup>]. Additionally, [CO<sub>3</sub><sup>2&#x2013;</sup>] positively correlates with the TA/DIC ratio (<xref ref-type="fig" rid="F6">Figure 6C</xref>). Therefore, &#x03A9;<sub><italic>Ar</italic></sub> showed a very good positive correlation with the TA/DIC ratio (<italic>R2</italic> = 0.99) (<xref ref-type="fig" rid="F6">Figure 6B</xref>).</p>
<fig id="F6" position="float">
<label>FIGURE 6</label>
<caption><p>The pH<sub>25</sub> and &#x03A9;<sub><italic>Ar</italic></sub> relationships with TA/DIC ratios, the relationship of (CO<sub>3</sub><sup>2&#x2013;</sup>) with TA/DIC ratios, and the relationship of &#x03A9;<sub><italic>Ar</italic></sub> with pH<sub>25</sub> during the four cruises.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-08-770034-g006.tif"/>
</fig>
<p>The linear relationship between [CO<sub>3</sub><sup>2&#x2013;</sup>] and TA/DIC ratios in the ECS is not unique. Similar cases were reported in the Gulf of Mexico and along the eastern and western coasts of the United States (<xref ref-type="bibr" rid="B64">Wang et al., 2013</xref>; <xref ref-type="bibr" rid="B7">Cai et al., 2020</xref>). As TA/DIC ratios are indicators of the relative abundances of the carbonate species, they imply the buffering capacity of the carbonate system. Buffering capacity is the lowest when TA/DIC is &#x223C;1. Therefore, variations in the TA/DIC ratio provide a direct indicator of changes in the sensitivity of seawater pH, &#x03A9;<sub><italic>Ar</italic></sub>, and other properties of carbonate system perturbations (<xref ref-type="bibr" rid="B64">Wang et al., 2013</xref>; <xref ref-type="bibr" rid="B7">Cai et al., 2020</xref>).</p>
<p>We will discuss the processes hereafter from the view of the relative changes in the TA/DIC ratio. Processes or factors influencing the TA/DIC ratio (and therefore pH<sub>25</sub> and &#x03A9;<sub><italic>Ar</italic></sub>) include air-sea CO<sub>2</sub> exchange, temperature variations, inputs of river water, or YS Coastal Water (water mixing), and biological processes.</p>
</sec>
<sec id="S5.SS2">
<title>Processes Dominating Seasonal Variations in pH<sub>25</sub> and &#x03A9;<sub><italic>Ar</italic></sub></title>
<sec id="S5.SS2.SSS1">
<title>Impacts of Temperature and Water Mass Mixing</title>
<p>The comparisons between the DIC<sub>obs</sub> and the DIC<sub>equ</sub> in different seasons are shown in <xref ref-type="fig" rid="F7">Figure 7</xref>. In cold seasons (winter and late fall), the DIC<sub>obs</sub> was very close to DIC<sub>equ</sub> (<xref ref-type="fig" rid="F7">Figures 7A,B,G,H</xref>), suggesting that DIC in the water was dominated by air-sea CO<sub>2</sub> equilibrium. However, the case was different in warm seasons (spring and summer). In spring, the DIC<sub>obs</sub> in surface water was conspicuously lower than DIC<sub>equ</sub> (<xref ref-type="fig" rid="F7">Figure 7C</xref>), suggesting DIC removal. However, DIC in the bottom water was close to DIC<sub>equ</sub> (<xref ref-type="fig" rid="F7">Figure 7D</xref>), indicating slight DIC alteration by biogeochemical processes (DO saturation degree ranging 73.8&#x2013;95.8%). In summer, the signals were much stronger than in spring. DIC<sub>obs</sub> in the surface water was much lower, while DIC<sub>obs</sub> in the bottom water was much higher than DIC<sub>equ</sub> (<xref ref-type="fig" rid="F7">Figures 7E,F</xref>), suggesting strong DIC removal in the surface water and strong DIC addition in the bottom water. It should be noted that the DIC addition in the surface water during summer was in the nearshore area which experiences oxygen-depletion throughout the water column (<xref ref-type="fig" rid="F3">Figures 3C-4,C-7,C-8</xref>). The strong DIC uptake in the surface water and strong DIC addition in the bottom water during summer are consistent with the observations by <xref ref-type="bibr" rid="B58">Wang et al. (2017)</xref> and <xref ref-type="bibr" rid="B69">Xiong et al. (2020)</xref>.</p>
<fig id="F7" position="float">
<label>FIGURE 7</label>
<caption><p>Comparison between observed DIC (DIC<sub>obs</sub>) concentrations and DIC at equilibrium with the atmosphere (DIC<sub>equ</sub>) in surface <bold>(A,C,E,G)</bold> and bottom <bold>(B,D,F,H)</bold> waters in winter, spring, summer, and fall. The dotted line represents 1:1.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-08-770034-g007.tif"/>
</fig>
<p>Comparisons among the four seasons revealed that although pH<sub>25</sub> showed large seasonal variability with higher values in warm seasons (mainly due to phytoplankton DIC uptake), DO saturation degree &#x003E;110% pH<sub><italic>in</italic>&#x2013;situ</sub> was relatively invariant among the seasons except in the areas of the DIC-depleted patch and the nearshore whole-water column oxygen-depleted area (<xref ref-type="fig" rid="F3">Figures 3C-6&#x2013;C-8</xref>). This was the result of the regulation of both carbonate thermodynamics and biological process. In the cold season, with low pH<sub>25</sub>, cooling increased pH<sub><italic>in</italic>&#x2013;situ</sub>. However, in the warm season with high pH<sub>25</sub> (high phytoplankton activity), warming decreased pH<sub><italic>in</italic>&#x2013;situ</sub>. These two processes offset each other and therefore decreased the seasonal variability of pH<sub><italic>in</italic>&#x2013;situ</sub>.</p>
<p><xref ref-type="fig" rid="F8">Figure 8</xref> shows the relationships of pH and &#x03A9;<sub><italic>Ar</italic></sub> with temperature in the surface water. The value of pH<sub>25</sub> &#x003C; pH<sub><italic>in</italic>&#x2013;situ</sub> at temperatures &#x003C; 25&#x00B0;C, but pH<sub>25</sub> &#x003E; pH<sub><italic>in</italic>&#x2013;situ</sub> at temperatures &#x003E; 25&#x00B0;C. Considering the large influence of biological processes on pH, we take the case of the less productive winter as an example to discuss the influences of temperature and water mixing on pH and &#x03A9;<sub><italic>Ar</italic></sub>.</p>
<fig id="F8" position="float">
<label>FIGURE 8</label>
<caption><p>Relationship of pH and &#x03A9;<sub><italic>Ar</italic></sub> values at 25<sup>&#x00B0;</sup>C (pH<sub>25</sub> and &#x03A9;<sub><italic>Ar,25</italic></sub>) and <italic>in situ</italic> temperature (pH<italic><sub><italic>in</italic></sub> <sub><italic>situ</italic></sub></italic> and &#x03A9;<sub><italic>Ar</italic></sub>) with temperature in the surface water of the ECS shelf in winter <bold>(A,B)</bold>, spring <bold>(C,D)</bold>, summer <bold>(E,F)</bold>, and fall <bold>(G,H)</bold>.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-08-770034-g008.tif"/>
</fig>
<p>In winter, the pH<sub>25</sub> of the surface water increased with temperature from 7.86 to 8.03, but pH<sub><italic>in</italic>&#x2013;situ</sub> was relatively invariant at &#x223C;8.1 (<xref ref-type="fig" rid="F8">Figure 8A</xref>). It should be noted that this &#x201C;apparent increase&#x201D; of pH<sub>25</sub> with temperature was not a thermodynamic temperature effect as the water masses differed spatially. Actually, for a water mass with invariant salinity, TA, and DIC, pH<sub>25</sub> is invariant, while pH<sub><italic>in</italic>&#x2013;situ</sub> decreases linearly with increasing temperature. For example, for a water mass with a salinity of 33, and a TA and DIC of 2,200 and 1,900 &#x03BC;mol kg<sup>&#x2013;1</sup>, respectively, the pH<sub><italic>in</italic>&#x2013;situ</sub> would decrease linearly from 8.352 at 8.0&#x00B0;C to 8.018 at 30.0&#x00B0;C, while the pH<sub>25</sub> would remain at 8.093. Therefore, the &#x201C;apparent increase&#x201D; of pH<sub>25</sub> with temperature reflected a larger extent, the influence of water mass mixing, including the influence of the Changjiang plume water and the YS Coastal Current water. As demonstrated above, pH<sub>25</sub> was positively correlated with the TA/DIC ratio (<xref ref-type="fig" rid="F6">Figure 6A</xref>). The TA/DIC ratios of both the Changjiang (0.99) and YS waters (1.08&#x2013;1.10) (<xref ref-type="bibr" rid="B70">Xiong et al., 2019</xref>, <xref ref-type="bibr" rid="B69">2020</xref>) were lower than those in the open ECS water (1.17) (<xref ref-type="bibr" rid="B15">Chou et al., 2009a</xref>). Therefore, the mixing of Changjiang plume water and YS Coastal Current water lowered pH<sub>25</sub> in the coastal area and the northern ECS area.</p>
<p>This was different in the case of &#x03A9;<sub><italic>Ar</italic></sub>. In all seasons, the spatial distribution of &#x03A9;<sub><italic>Ar</italic></sub> generally followed that of pH<sub>25</sub> and TA/DIC ratios. Although the values of &#x03A9;<sub><italic>Ar,25</italic></sub> were different from &#x03A9;<sub><italic>Ar</italic></sub>, the difference between them (ranging from 0.00 to 0.20) suggested that &#x03A9;<sub><italic>Ar</italic></sub> is not as sensitive to temperature as pH.</p>
<p>We take the winter cruise as an example to examine the influence of water mixing on pH<sub>25</sub>. End-member TA and DIC values representing the YS Coastal Current, Changjiang freshwater, and open ECS were taken from the study by <xref ref-type="bibr" rid="B74">Zhai (2018)</xref>, <xref ref-type="bibr" rid="B70">Xiong et al. (2019)</xref>, and <xref ref-type="bibr" rid="B15">Chou et al. (2009a)</xref>, respectively. The end-member values are shown in <xref ref-type="table" rid="T1">Table 1</xref>. Salinity and potential temperature were assumed as conservative parameters to calculate the water mixing ratios of the end-members, and then these mixing ratios were used to calculate the conservatively mixed DIC and TA values. Subsequently, pH<sub>25</sub> and pH<sub><italic>in situ</italic></sub> were calculated with CO2SYS (<xref ref-type="bibr" rid="B47">Pierrot et al., 2006</xref>); the results are shown in <xref ref-type="fig" rid="F9">Figure 9</xref>. In the study area, mixing of the Changjiang water only decreased pH<sub>25</sub> by 0.001&#x2013;0.023. However, the mixing of the YS Coastal Current water decreased the value of pH<sub>25</sub> by 0.015&#x2013;0.211, showing that the intrusion of YS Coastal Current water into the ECS shelf decreased the value of pH<sub>25</sub> conspicuously. As &#x03A9;<sub><italic>Ar</italic></sub> was positively correlated with pH<sub>25,</sub> the intrusion of the YS water also decreased &#x03A9;<sub><italic>Ar</italic></sub> on the ECS shelf. In comparison, pH<sub><italic>in</italic>&#x2013;situ</sub> exhibited a much smaller range. It should be noted that some pH<sub><italic>in situ</italic></sub> data fell outside the mixing lines, which is mainly a result of the temperature effect (<xref ref-type="fig" rid="F9">Figure 9B</xref>).</p>
<table-wrap position="float" id="T1">
<label>TABLE 1</label>
<caption><p>Potential temperature (&#x03B8;), salinity, DIC, and TA values of the three end-members in winter.</p></caption>
<table cellspacing="5" cellpadding="5" frame="hsides" rules="groups">
<thead>
<tr>
<td valign="top" align="left">End-member</td>
<td valign="top" align="center">&#x03B8; (&#x00B0;C)</td>
<td valign="top" align="center">Salinity</td>
<td valign="top" align="center">DIC (&#x03BC;mol kg<sup>&#x2013;1</sup>)</td>
<td valign="top" align="center">TA (&#x03BC;mol kg<sup>&#x2013;1</sup>)</td>
<td valign="top" align="center">TA/DIC</td>
<td valign="top" align="left">Data source</td>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">Changjiang</td>
<td valign="top" align="center">10.0</td>
<td valign="top" align="center">0.00</td>
<td valign="top" align="center">2,000</td>
<td valign="top" align="center">1,970</td>
<td valign="top" align="center">0.99</td>
<td valign="top" align="left"><xref ref-type="bibr" rid="B70">Xiong et al., 2019</xref></td>
</tr>
<tr>
<td valign="top" align="left">Yellow Sea</td>
<td valign="top" align="center">7.0</td>
<td valign="top" align="center">32.20</td>
<td valign="top" align="center">2,144</td>
<td valign="top" align="center">2,308</td>
<td valign="top" align="center">1.08</td>
<td valign="top" align="left"><xref ref-type="bibr" rid="B74">Zhai, 2018</xref></td>
</tr>
<tr>
<td valign="top" align="left">Open ECS</td>
<td valign="top" align="center">22.6</td>
<td valign="top" align="center">34.60</td>
<td valign="top" align="center">1,960</td>
<td valign="top" align="center">2,271</td>
<td valign="top" align="center">1.16</td>
<td valign="top" align="left"><xref ref-type="bibr" rid="B15">Chou et al., 2009a</xref></td>
</tr>
</tbody>
</table>
</table-wrap>
<fig id="F9" position="float">
<label>FIGURE 9</label>
<caption><p>Influence of water mixing on pH<sub>25</sub> <bold>(A)</bold> and pH<italic><sub><italic>in</italic></sub> <sub><italic>situ</italic></sub></italic> <bold>(B)</bold> in winter. The dashed lines are the mixing lines and the open circles are the observed pH<sub>25</sub> and pH<italic><sub><italic>in</italic></sub> <sub><italic>situ</italic></sub></italic> values. The mixing lines of pH<sub>25</sub> were calculated based on the conservative mixing of DIC and TA values; the mixing lines of pH<italic><sub><italic>in</italic></sub> <sub><italic>situ</italic></sub></italic> were calculated based on the conservative mixing of temperature, DIC, and TA.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-08-770034-g009.tif"/>
</fig>
</sec>
<sec id="S5.SS2.SSS2">
<title>Influences of Biogeochemical Processes</title>
<p>The DIC drawdown in the surface water and addition in the bottom water during the warm seasons changed the DIC patterns and therefore resulted in obvious changes to the TA/DIC ratio, pH<sub>25</sub>, and &#x03A9;<sub><italic>Ar</italic></sub>. In this section, we use the summer cruise as an example to quantify the biogeochemical processes in the surface and bottom waters.</p>
<sec id="S5.SS2.SSS2.Px1">
<title>Relieving Acidification in the Surface Water in the Warm Season</title>
<p>In summer, the DIC removal occurred in the surface waters, except in the nearshore area between transects A and B (<xref ref-type="fig" rid="F3">Figures 3C-4</xref>, <xref ref-type="fig" rid="F7">7E</xref>). The DIC removal was up to &#x003E;200 &#x03BC;mol kg<sup>&#x2013;1</sup> in the DIC-depleted patch (mean removal of 119.1 &#x00B1; 89.2 &#x03BC;mol kg<sup>&#x2013;1</sup>). The strong phytoplankton production increased pH<sub>25</sub> and &#x03A9;<sub><italic>Ar</italic></sub> by 0.21 &#x00B1; 0.17 and 1.35 &#x00B1; 1.07, respectively, compared to the values in equilibrium with atmospheric CO<sub>2</sub>.</p>
</sec>
<sec id="S5.SS2.SSS2.Px2">
<title>Enhanced Ocean Acidification in Bottom Water During Warm Seasons</title>
<p>During summer, in the bottom water, areas with high DIC were accompanied by DO consumption and a pH<sub>25</sub> decrease (<xref ref-type="fig" rid="F5">Figures 5D-1,E-1,G-1</xref>), suggesting DIC addition and acidification from organic matter degradation. The estimated DIC<sub>excess</sub> correlated linearly with AOU with a slope of 0.75 (<xref ref-type="fig" rid="F10">Figure 10</xref>), which is very close to the Redfield ratio (0.79) and suggests that the degraded organic carbon was mainly marine sourced. This finding is consistent with that of <xref ref-type="bibr" rid="B60">Wang et al. (2016)</xref> based on DIC and <sup>13</sup>C-DIC mass balances and with <xref ref-type="bibr" rid="B58">Wang et al. (2017)</xref> based on the stoichiometric ratio of carbon to oxygen during organic matter remineralization in the bottom water. The enhanced acidification in the ECS off the Changjiang Estuary was also observed in the summer of 2018 (<xref ref-type="bibr" rid="B69">Xiong et al., 2020</xref>).</p>
<fig id="F10" position="float">
<label>FIGURE 10</label>
<caption><p>Relationships between DIC<sub>excess</sub> and AOU in the bottom water in summer. The solid line represents the linear regression.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-08-770034-g010.tif"/>
</fig>
<p>The average DIC addition in the bottom water during summer was 84.3 &#x00B1; 34.3 &#x03BC;mol kg<sup>&#x2013;1</sup>. As a consequence, the observed pH<sub>25</sub> and &#x03A9;<sub><italic>Ar</italic></sub> were much lower than the atmospheric equilibrium values (<xref ref-type="fig" rid="F11">Figure 11</xref>), and average pH<sub>25</sub> and &#x03A9;<sub><italic>Ar</italic></sub> decreases in summer were 0.18 &#x00B1; 0.08 and 0.73 &#x00B1; 0.35, respectively. The pH<sub>25</sub> and &#x03A9;<sub><italic>Ar</italic></sub> decrease resulting from the strong organic matter remineralization were up to 0.41 and 1.57 (<xref ref-type="fig" rid="F11">Figure 11</xref>). In addition, &#x0394;pH<sub>25</sub> and &#x0394;&#x03A9;<sub><italic>Ar</italic></sub> decreased linearly with DIC<sub>excess</sub>, yielding slopes &#x2212;0.0024 and -0.0101, respectively (<xref ref-type="fig" rid="F12">Figures 12A,B</xref>). The slope of the linear regression of &#x0394;pH<sub>25</sub> with DIC<sub>excess</sub> in the ECS was similar to that found in the northern Gulf of Mexico (-0.0022) (<xref ref-type="bibr" rid="B35">Jiang et al., 2019</xref>). As expected, &#x0394;&#x03A9;<sub><italic>Ar</italic></sub> showed a synchronous increase with &#x0394;pH<sub>25</sub> (<xref ref-type="fig" rid="F12">Figure 12C</xref>), and &#x0394;&#x03A9;<sub><italic>Ar</italic></sub> decreased as AOU increased (<xref ref-type="fig" rid="F12">Figure 12D</xref>). Undeniably, the benthic release of DIC produced in the sediment also contributes to bottom water acidification (<xref ref-type="bibr" rid="B31">Hu et al., 2017</xref>; <xref ref-type="bibr" rid="B61">Wang et al., 2020</xref>). As the benthic fluxes of DIC and TA in the hypoxic zone are similar (<xref ref-type="bibr" rid="B3">Berelson et al., 2019</xref>), the influence of benthic fluxes on the seasonal acidification in bottom water is limited, although it may eventually enhance acidification on decadal or longer time scales (<xref ref-type="bibr" rid="B61">Wang et al., 2020</xref>).</p>
<fig id="F11" position="float">
<label>FIGURE 11</label>
<caption><p>Comparison of pH<sub>25</sub> and &#x03A9;<sub><italic>Ar</italic></sub> between the observed values and the values at equilibrium with the atmosphere (with subscript &#x201C;equ&#x201D;) in the bottom water during warm seasons. <bold>(A,C)</bold> Spring. <bold>(B,D)</bold> Summer.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-08-770034-g011.tif"/>
</fig>
<fig id="F12" position="float">
<label>FIGURE 12</label>
<caption><p>Relationships of &#x0394;pH<sub>25</sub> and &#x0394;&#x03A9;<sub><italic>Ar</italic></sub> with DIC<sub>excess</sub> <bold>(A,B)</bold> and &#x0394;&#x03A9;<sub><italic>Ar</italic></sub> with &#x0394;pH<sub>25</sub> and AOU <bold>(C,D)</bold> in the bottom water in summer. The solid lines represent the linear regressions. The slopes of the linear regressions of &#x0394;pH<sub>25</sub> and &#x0394;&#x03A9;<sub><italic>Ar</italic></sub> with DIC<sub>excess</sub> were -0.0024 and -0.0101, respectively.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-08-770034-g012.tif"/>
</fig>
<p>Kuroshio Intermediate Water (KIW) may intrude into the ECS shelf (<xref ref-type="bibr" rid="B42">Lui et al., 2014</xref>; <xref ref-type="bibr" rid="B72">Yang et al., 2011</xref>, <xref ref-type="bibr" rid="B71">2018</xref>). Due to the upwelling of the KIW, DO decreases and nutrients increase in the open ECS on decadal time scales (<xref ref-type="bibr" rid="B42">Lui et al., 2014</xref>), which might also enhance acidification. The core area of the bottom acidification was off the Changjiang Estuary, and the Kuroshio intrusion into the ECS shelf is at the area off Hangzhou Bay, which is generally beyond the hypoxic zone (<xref ref-type="bibr" rid="B72">Yang et al., 2011</xref>, <xref ref-type="bibr" rid="B71">2018</xref>). Additionally, decreasing DO in the KIW occurs on decadal time scales. Therefore, the influence of KIW intrusion on seasonal acidification over the ECS shelf was minor. Nevertheless, its influence on the long-term acidification in the ECS deserves further study.</p>
</sec>
</sec>
</sec>
<sec id="S5.SS3">
<title>Ocean Acidification Status in the Bottom Water in the Near Future</title>
<p>During the relatively low productivity of late fall and winter (<xref ref-type="bibr" rid="B28">Gong et al., 2000</xref>), the TA/DIC ratio ranged from 1.07 to 1.14. However, the DIC additions due to remineralization of organic matter in the bottom water decreased the TA/DIC ratio to 1.04 during summer (<xref ref-type="fig" rid="F6">Figure 6</xref>). As discussed above, the strong remineralization in the bottom water enhanced acidification. In the bottom water of the ECS, the pH<sub>25</sub> minimum was 7.73, and the &#x03A9;<sub><italic>Ar</italic></sub> minimum was 1.27. An &#x03A9;<sub><italic>Ar</italic></sub> of 1.5 is considered to be the minimum threshold for marine shellfish development (<xref ref-type="bibr" rid="B22">Ekstrom et al., 2015</xref>; <xref ref-type="bibr" rid="B57">Waldbusser et al., 2015</xref>). Therefore, &#x03A9;<sub><italic>Ar</italic></sub> in ECS bottom water in summer was below this threshold. However, the lowest &#x03A9;<sub><italic>Ar</italic></sub> value in the ECS was higher than the values in the adjacent YS, where &#x03A9;<sub><italic>A</italic></sub> may be close to 1 (<xref ref-type="bibr" rid="B69">Xiong et al., 2020</xref>). Compared with other marginal seas, pH<sub>25</sub> and &#x03A9;<sub><italic>Ar</italic></sub> values in the bottom water in summer were similar to those of the surface waters of fragile Polar Regions with regards to OA (<xref ref-type="bibr" rid="B49">Sabine et al., 2004</xref>; <xref ref-type="bibr" rid="B1">Anderson et al., 2010</xref>).</p>
<p>Within the context of global CO<sub>2</sub> increases and ocean acidification, &#x03A9;<sub><italic>Ar</italic></sub> in the ECS will continuously decrease. Using this information, we can estimate pH<sub>25</sub> and &#x03A9;<sub><italic>Ar</italic></sub> in ECS shelf bottom water in the near future (by the mid-century) under the influence of the same biogeochemical processes as observed during our surveyed periods.</p>
<p>According to the <xref ref-type="bibr" rid="B34">IPCC (2014)</xref> prediction, atmospheric <italic>p</italic>CO<sub>2</sub> will increase to &#x223C;500 &#x03BC;atm (PR6, medium emissions) or 550 &#x03BC;atm (PR8.5, high emissions) by the middle of this century. Assuming that salinity and TA remain invariant, we first calculate the DIC<sub>equ</sub> under the two scenarios (PR6 and PR8.5) and then add the DIC<sub>excess</sub> to DIC<sub>equ</sub> to get the DIC under the influence of organic carbon remineralization. Subsequently, pH<sub>25</sub> and &#x03A9;<sub><italic>Ar</italic></sub> were calculated with CO2SYS (<xref ref-type="bibr" rid="B47">Pierrot et al., 2006</xref>).</p>
<p>The results show that by mid-century, the pH<sub>25</sub> and &#x03A9;<sub><italic>Ar</italic></sub> of the bottom water in summer will be 7.46&#x2013;7.82 and 0.94&#x2013;1.99, respectively, under the medium emissions scenario, and 7.41&#x2013;7.78 and 0.84&#x2013;1.83, respectively, under the strong emissions scenario (<xref ref-type="fig" rid="F13">Figure 13</xref>). The values of pH<sub><italic>in</italic>&#x2013;situ</sub> will be 7.51&#x2013;7.90 (medium) and 7.45&#x2013;7.86 (high) under two emissions scenarios. In spring, the lowest values of &#x03A9;<sub><italic>Ar</italic></sub> will be 1.48 (medium) and 1.36 (high) under the two scenarios (<xref ref-type="fig" rid="F13">Figure 13</xref>), slightly higher than in summer. The results suggest that under the combined influences of atmospheric CO<sub>2</sub> invasion and strong seasonal organic matter remineralization, aragonite in the ECS will be under-saturated in summer and slightly oversaturated in spring within 30 years (by the middle of this century). The conceptual model of the combined forcing of atmospheric CO<sub>2</sub> invasion and strong organic matter mineralization on the OA in the bottom water on the ECS shelf is shown in <xref ref-type="fig" rid="F14">Figure 14</xref>.</p>
<fig id="F13" position="float">
<label>FIGURE 13</label>
<caption><p>Bottom water pH<sub>25</sub> and &#x03A9;<sub><italic>Ar</italic></sub> during summer from this study (present) and projected for the mid-century. <bold>(A,C)</bold> Spring. <bold>(B,D)</bold> Summer.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-08-770034-g013.tif"/>
</fig>
<fig id="F14" position="float">
<label>FIGURE 14</label>
<caption><p>Conceptual model of the ocean acidification (OA) in the bottom water on the ECS shelf. OM is organic matter.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-08-770034-g014.tif"/>
</fig>
<p>The projected pH<sub>25</sub> and &#x03A9;<sub><italic>Ar</italic></sub> minima in spring would be 7.71&#x2013;7.75 and 1.36&#x2013;1.48, respectively. These projections are very conservative due to the following factors. First, the surveyed area of our spring cruise was beyond the most productive areas of the Changjiang Estuary and plume and hence experienced weaker organic matter remineralization in the bottom water. Second, the influence of potentially enhanced eutrophication occurring from the decadal variability of KIW (<xref ref-type="bibr" rid="B42">Lui et al., 2014</xref>) was not considered. Therefore, it is reasonable to speculate that aragonite might be under-saturated in the bottom water from spring to summer by the middle of this century. As discussed above, &#x03A9;<sub><italic>Ar</italic></sub> is not highly sensitive to temperature changes. Although &#x03A9;<sub><italic>Ar</italic></sub> increases slightly under global warming, it cannot offset the effect of OA. The enhanced acidification observed in this study is more severe and the calculated aragonite saturation levels occur two decades earlier than that predicted by <xref ref-type="bibr" rid="B13">Chou et al. (2013)</xref>. This can be attributed to the fact that the summer of 2015 was in El Nino, resulting in more severe DO depletion and acidification.</p>
</sec>
</sec>
<sec id="S6">
<title>Concluding Remarks</title>
<p>Field surveys covering the four seasons of the year were conducted from 2015 to 2019 on the ECS shelf off the Changjiang Estuary. Strong spatial and temporal variations in the carbonate parameters were observed. In cold seasons, the water was well-mixed vertically. The pH<sub>25</sub> and &#x03A9;<sub><italic>Ar</italic></sub> ranged from 7.85 to 8.03 and 1.72 to 3.11, respectively, and the lowest values were in the coastal area off the Changjiang Estuary and in the northern ECS, where DIC and TA were high. Mixing of YS Coastal Current water was a major driver of the low pH<sub>25</sub> and &#x03A9;<sub><italic>Ar</italic></sub> values in the coastal ECS. In warm seasons, the water column was stratified. The pH<sub>25</sub> and &#x03A9;<sub><italic>Ar</italic></sub> ranged from 8.11 to 8.64 and from 2.94 to 6.82, respectively, in surface water except in the nearshore area experiencing oxygen depletion throughout the water column, and 7.60&#x2013;7.93 and 1.27&#x2013;2.45, respectively, in the bottom waters. Biological uptake of DIC in surface waters and subsequent remineralization of the marine-sourced organic matter influence the acidification status. The TA/DIC ratio is an effective proxy of OA status on the ECS shelf. Although the ECS water is oversaturated with respect to aragonite (&#x03A9;<sub><italic>Ar</italic></sub> &#x003E; 1.0), the bottom water in warm seasons will likely become corrosive to aragonite within 30 years (by the mid-century) within the context of increased global OA.</p>
</sec>
<sec id="S7" sec-type="data-availability">
<title>Data Availability Statement</title>
<p>The raw data supporting the conclusions of this article will be made available by the authors, without undue reservation.</p>
</sec>
<sec id="S8">
<title>Author Contributions</title>
<p>XG and WZ organized the sampling and data collection. ZY collected the DIC and TA data of the winter and summer cruises. YL collected the DIC and TA data of the fall and spring cruises. WZ collected the DO data during the summer and winter cruises. YG collected the DO data of the spring cruise. YX collected the DO data of the fall cruise. XG drafted the manuscript. All authors participated in the discussion of the data, interpretations, and manuscript revision.</p>
</sec>
<sec id="conf1" 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="pudiscl1" 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="S9" sec-type="funding-information">
<title>Funding</title>
<p>This study was funded by the National Natural Science Foundation of China (Grant Number 41876080) and the Strategic Priority Research Program of the Chinese Academy of Sciences (Grant Number XDB42000000). Field surveys were supported by the Ocean Public Welfare Scientific Research Project, State Oceanic Administration of China through grant 201505003.</p>
</sec>
<ack>
<p>We are grateful to the chief scientist, Xianqiang He, at the Second Institute of Oceanography (NMR) and the crew and the scientific staff of the R/V <italic>Runjiang-I</italic> for their help during the cruises. We appreciate the work of Xudong Zhuo, Qimeng Liu, Miaosha Yao, Yan Li, Xue Song, and Min Zhuang at Xiamen University, and Haixia Zhang at Shandong University collecting data during some of the cruises.</p>
</ack>
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