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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.2025.1496359</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>Buoy-based monitoring of sea surface carbon dioxide partial pressure at Qingdao coastal area</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Cao</surname>
<given-names>Lu</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2826409"/>
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</contrib>
<contrib contrib-type="author">
<name>
<surname>Li</surname>
<given-names>Su</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2843123"/>
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</contrib>
<contrib contrib-type="author">
<name>
<surname>Zhang</surname>
<given-names>Shuwei</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
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</contrib>
<contrib contrib-type="author">
<name>
<surname>Wu</surname>
<given-names>Ning</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
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</contrib>
<contrib contrib-type="author">
<name>
<surname>Zhang</surname>
<given-names>Keke</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<role content-type="https://credit.niso.org/contributor-roles/data-curation/"/>
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</contrib>
<contrib contrib-type="author">
<name>
<surname>Li</surname>
<given-names>Wenqing</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
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</contrib>
<contrib contrib-type="author">
<name>
<surname>Ma</surname>
<given-names>Ran</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
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</contrib>
<contrib contrib-type="author">
<name>
<surname>Chu</surname>
<given-names>Dongzhi</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
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<contrib contrib-type="author" corresp="yes">
<name>
<surname>Wang</surname>
<given-names>Ni</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
<xref ref-type="author-notes" rid="fn001">
<sup>*</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2841246"/>
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<contrib contrib-type="author" corresp="yes">
<name>
<surname>Liu</surname>
<given-names>Yan</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>
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</contrib-group>
<aff id="aff1">
<sup>1</sup>
<institution>Qilu University of Technology (Shandong Academy of Sciences), Institute of Oceanographic Instrumentation</institution>, <addr-line>Qingdao</addr-line>, <country>China</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>Ocean Observation and Exploration Research Department, Laoshan National Laboratory</institution>, <addr-line>Qingdao</addr-line>, <country>China</country>
</aff>
<aff id="aff3">
<sup>3</sup>
<institution>Faculty of Information Science and Engineering, Ocean University of China</institution>, <addr-line>Qingdao</addr-line>, <country>China</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>Edited by: Xianghui Guo, Xiamen University, China</p>
</fn>
<fn fn-type="edited-by">
<p>Reviewed by: Riza Yuliratno Setiawan, Gadjah Mada University, Indonesia</p>
<p>Andrzej B&#x142;a&#x17c;ejewski, Koszalin University of Technology, Poland</p>
</fn>
<fn fn-type="corresp" id="fn001">
<p>*Correspondence: Ni Wang, <email xlink:href="mailto:niwang0606@yeah.net">niwang0606@yeah.net</email>; Yan Liu, <email xlink:href="mailto:sdqdliuyan@126.com">sdqdliuyan@126.com</email>
</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>19</day>
<month>02</month>
<year>2025</year>
</pub-date>
<pub-date pub-type="collection">
<year>2025</year>
</pub-date>
<volume>12</volume>
<elocation-id>1496359</elocation-id>
<history>
<date date-type="received">
<day>14</day>
<month>09</month>
<year>2024</year>
</date>
<date date-type="accepted">
<day>22</day>
<month>01</month>
<year>2025</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2025 Cao, Li, Zhang, Wu, Zhang, Li, Ma, Chu, Wang and Liu</copyright-statement>
<copyright-year>2025</copyright-year>
<copyright-holder>Cao, Li, Zhang, Wu, Zhang, Li, Ma, Chu, Wang 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>Continuous time series observations of seawater carbon dioxide partial pressure (<italic>p</italic>CO<sub>2</sub>) are crucial for documenting temporal variations in air-sea CO<sub>2</sub> fluxes. To examine the seawater <italic>p</italic>CO<sub>2</sub> variation and its influence factors at Qingdao coastal waters, a high-resolution observation of seawater <italic>p</italic>CO<sub>2</sub> near the Xiaomaidao Island was conducted from May 29 to July 25 in 2024. Sea surface <italic>p</italic>CO<sub>2</sub> varied from 519 &#xb5;atm to 717 &#xb5;atm during this monitoring period, with an obvious decline and rise from July 12 to 21. The variation of seawater <italic>p</italic>CO<sub>2</sub> was mainly affected by the increasing sea surface temperature, except for the period of <italic>p</italic>CO<sub>2</sub> decrease which was caused by <italic>Ulva prolifera</italic> bloom. Accompanied by the increase of <italic>U. prolifera</italic>, sea surface <italic>p</italic>CO<sub>2</sub> decreased to 563 &#xb5;atm, then the coverage of <italic>U. prolifera</italic> decreased and sea surface <italic>p</italic>CO<sub>2</sub> rose to 669 &#xb5;atm during period of July 12 to 21. The observation site acted as a source for atmospheric CO<sub>2</sub> throughout the monitoring period, with air-sea CO<sub>2</sub> flux ranging from less than 1 mmol m<sup>-2</sup> d<sup>-1</sup> to over 100 mmol m<sup>-2</sup> d<sup>-1</sup>, resulting in a total CO<sub>2</sub> release of 334 mmol m<sup>-2</sup>. Thus, it is essential for high-resolution measurement of <italic>p</italic>CO<sub>2</sub> in coastal areas.</p>
</abstract>
<kwd-group>
<kwd>carbon dioxide partial pressure</kwd>
<kwd>Qingdao Coast</kwd>
<kwd>
<italic>Ulva prolifera</italic> influence</kwd>
<kwd>early bloom</kwd>
<kwd>CO2 flux</kwd>
</kwd-group>
<counts>
<fig-count count="5"/>
<table-count count="3"/>
<equation-count count="6"/>
<ref-count count="44"/>
<page-count count="9"/>
<word-count count="4298"/>
</counts>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-in-acceptance</meta-name>
<meta-value>Global Change and the Future Ocean</meta-value>
</custom-meta>
</custom-meta-wrap>
</article-meta>
</front>
<body>
<sec id="s1" sec-type="intro">
<label>1</label>
<title>Introduction</title>
<p>The ocean is the largest reservoir of carbon, absorbing approximately 30% of the anthropogenic CO<sub>2</sub> emitted into the atmosphere (<xref ref-type="bibr" rid="B30">Sabine et&#xa0;al., 2004</xref>). This process has induced ocean acidification and variations of carbonate system (<xref ref-type="bibr" rid="B12">Doney et&#xa0;al., 2009</xref>; <xref ref-type="bibr" rid="B25">Mostofa et&#xa0;al., 2016</xref>). Ongoing global warming and associated climate changes are expected to alter CO<sub>2</sub> fluxes at the air&#x2013;sea interface and the regulatory mechanism. Therefore, regular assessment of the temporal and spatial variabilities of marine <italic>p</italic>CO<sub>2</sub> is urgently needed for research on carbon cycle and carbon budgets (<xref ref-type="bibr" rid="B26">Murata et&#xa0;al., 2022</xref>; <xref ref-type="bibr" rid="B28">Regnier et&#xa0;al., 2022</xref>; <xref ref-type="bibr" rid="B39">Wu et&#xa0;al., 2024</xref>).</p>
<p>The coastal region significantly influences the carbon cycle (<xref ref-type="bibr" rid="B9">Cai, 2011</xref>; <xref ref-type="bibr" rid="B10">Dai et&#xa0;al., 2022</xref>). Due to the strong terrestrial input and anthropogenic disruptions in coastal regions, the carbonate system and CO<sub>2</sub> flux exhibit complex fluctuations (<xref ref-type="bibr" rid="B22">Lin and Lin, 2022</xref>; <xref ref-type="bibr" rid="B41">Xue et&#xa0;al., 2016</xref>), leading to alteration of coastal waters function as source or sink to atmospheric CO<sub>2</sub>. The temporal variations of seawater <italic>p</italic>CO<sub>2</sub> influenced by factors such as temperature effects, mixing processes, biological processes and air-sea exchange and other contributing processes (<xref ref-type="bibr" rid="B8">Borges et&#xa0;al., 2006</xref>; <xref ref-type="bibr" rid="B41">Xue et&#xa0;al., 2016</xref>). As a transition zone connecting the southern Yellow Sea with Jiaozhou Bay, the Qingdao coastal region is strongly affected by anthropogenic activities and green tides. The green tides caused by <italic>U. prolifera</italic> have occurred annually in the southern Yellow Sea since 2007, usually appearing along the Qingdao coast in June and dissipating in August or early September (<xref ref-type="bibr" rid="B43">Yuan et&#xa0;al., 2022</xref>; <xref ref-type="bibr" rid="B31">Shao et&#xa0;al., 2024</xref>; <xref ref-type="bibr" rid="B44">Zhang et&#xa0;al., 2019</xref>). The <italic>U. prolifera</italic> bloom has resulted in extensive harm to the ecology and economy of coastal cities and led to significant alterations in the carbon system (<xref ref-type="bibr" rid="B44">Zhang et&#xa0;al., 2019</xref>; <xref ref-type="bibr" rid="B40">Xiong et&#xa0;al., 2023</xref>). Thus, the time series observation is essential for further understanding the temporal variation in seawater <italic>p</italic>CO<sub>2</sub> and its associated influencing factor. In particular, the impact of <italic>U. prolifera</italic> on the carbonate system in Qingdao coast was mainly studied previously based on cruises sample collection (<xref ref-type="bibr" rid="B16">Hu et&#xa0;al., 2024</xref>; <xref ref-type="bibr" rid="B19">Li et&#xa0;al., 2021</xref>; <xref ref-type="bibr" rid="B40">Xiong et&#xa0;al., 2023</xref>; <xref ref-type="bibr" rid="B11">Deng et&#xa0;al., 2018</xref>; <xref ref-type="bibr" rid="B17">Hu et&#xa0;al., 2015</xref>), and lack of continuous high-resolution observations.</p>
<p>In this work, a time serious observation based on buoy near the Xiaomaidao Island at Qingdao coastal area was conducted during May 29 &#x2013; July 25, 2024. Based on the collected data, we reported the variation in seawater <italic>p</italic>CO<sub>2</sub> and the air&#x2013;sea CO<sub>2</sub> flux, identified the factors affecting the temporal changes in seawater <italic>p</italic>CO<sub>2</sub>, and explored the continuous influence of <italic>U. prolifera</italic> bloom on seawater <italic>p</italic>CO<sub>2.</sub>
</p>
</sec>
<sec id="s2" sec-type="materials|methods">
<label>2</label>
<title>Materials and methods</title>
<sec id="s2_1">
<label>2.1</label>
<title>Study site</title>
<p>The observation site (120.44&#xb0;E, 36.05&#xb0;N) is located at Qingdao coastal area (<xref ref-type="fig" rid="f1">
<bold>Figure&#xa0;1</bold>
</xref>), near Xiaomaidao Island, and is in a transition zone connecting the southern Yellow Sea with Jiaozho Bay. This site is dominated by semi-diurnal currents, with a water depth of about 23 m. The rainfall is highest in summer and lowest in winter, with an average annual precipitation of approximately 660 mm (<ext-link ext-link-type="uri" xlink:href="http://www.qingdao.gov.cn">http://www.qingdao.gov.cn</ext-link>). The investigation area is affected by the southeast monsoon and coastal waters in summer. The sea surface salinity (SSS) is the highest in winter, and the peak sea surface temperature (SST) generally occurs in August. Since 2007, <italic>U. prolifera</italic> has occurred annually in the southern Yellow Sea, and Qingdao is one of the cities receiving the macroalga.</p>
<fig id="f1" position="float">
<label>Figure&#xa0;1</label>
<caption>
<p>Location of observation site near the Xiaomaidao Island.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-12-1496359-g001.tif"/>
</fig>
</sec>
<sec id="s2_2">
<label>2.2</label>
<title>Field observations based on buoy</title>
<p>The 15 m intelligent buoy was deployed at the observation site from May 29 to July 25 in 2024. There was an air-water equilibrator (MAPCO<sub>2</sub>) (<xref ref-type="bibr" rid="B14">Friederich et&#xa0;al., 1995</xref>; <xref ref-type="bibr" rid="B32">Sutton et&#xa0;al., 2014</xref>) placed in the buoy shaft floating on the sea surface based on float, and a customized gas control module and standard gas (<xref ref-type="fig" rid="f2">
<bold>Figure&#xa0;2</bold>
</xref>) fixed in the buoy chamber without contact with seawater for <italic>p</italic>CO<sub>2</sub> measurement. During monitoring, the seawater <italic>p</italic>CO<sub>2</sub> was measured with a frequency of 1 h or 2 h and the calibration frequency was 24 h. The atmosphere <italic>p</italic>CO<sub>2</sub> data which was measured at sit on May 29, 2024, was used for air-sea CO<sub>2</sub> flux calculation. The sea surface temperature (SST) and sea surface salinity (SSS) were determined by SBE37 (Sea-bird Scientific). The dissolved oxygen saturation (DO%) which refers to the ratio of seawater DO content to its solubility, was measured using the probe developed by the institute of Oceanographic Instrumentation. The wind speed was measured using an ultrasonic anemometer (windmaster pro, Gill Instruments) installed at a height of 10 m.</p>
<fig id="f2" position="float">
<label>Figure&#xa0;2</label>
<caption>
<p>Schematic <bold>(A)</bold> and machine drawing <bold>(B)</bold> of the gas control module. NO and NC refer to the normally open and closed three-way valve setting, respectively.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-12-1496359-g002.tif"/>
</fig>
</sec>
<sec id="s2_3">
<label>2.3</label>
<title>Determination of <italic>p</italic>CO<sub>2</sub>
</title>
<p>The <italic>in-situ</italic> non-dispersive infrared (NDIR) seawater <italic>p</italic>CO<sub>2</sub> instruments (<xref ref-type="bibr" rid="B13">Fietzek et&#xa0;al., 2014</xref>; <xref ref-type="bibr" rid="B32">Sutton et&#xa0;al., 2014</xref>; <xref ref-type="bibr" rid="B18">Hunt et&#xa0;al., 2017</xref>; <xref ref-type="bibr" rid="B29">Ribas-Ribas et&#xa0;al., 2018</xref>) are often employed on the buoy to describe the temporal variations of <italic>p</italic>CO<sub>2</sub> and CO<sub>2</sub> fluxes at the air-sea interface (<xref ref-type="bibr" rid="B5">Atamanchuk et&#xa0;al., 2015</xref>; <xref ref-type="bibr" rid="B41">Xue et&#xa0;al., 2016</xref>; <xref ref-type="bibr" rid="B23">Liu Q. et&#xa0;al., 2019</xref>). They used the gas-permeable membrane (<xref ref-type="bibr" rid="B32">Fietzek et&#xa0;al., 2014</xref>) or continuous bubbling air&#x2013;water equilibrator (<xref ref-type="bibr" rid="B32">Sutton et&#xa0;al., 2014</xref>) to equilibrate the headspace air with seawater. After equilibration, the CO<sub>2</sub> composition of headspace air reflects that of seawater. The evaluation and comparison of commercial <italic>in-situ p</italic>CO<sub>2</sub> instruments demonstrated that the system employing bubble equilibration technique (<xref ref-type="bibr" rid="B32">Sutton et&#xa0;al., 2014</xref>) had high accuracy and stability (<xref ref-type="bibr" rid="B2">Alliance for Coastal Technologies, 2010a</xref>, <xref ref-type="bibr" rid="B3">b</xref>, <xref ref-type="bibr" rid="B4">c</xref>). Though the commercial <italic>in-situ</italic> instrument using bubble equilibration (MAPCO<sub>2</sub>) is widely used, it is sometimes inflexible for installation, inconvenient self-maintenance and expensive. The water quality monitoring buoys have been well developed by integrating biochemical sensors, optical devices for absorption, fluorescence and scattering, and communication devices (<xref ref-type="bibr" rid="B6">B&#x142;a&#x17c;ejewski et&#xa0;al., 2024</xref>, <xref ref-type="bibr" rid="B7">2023</xref>; <xref ref-type="bibr" rid="B1">Agade et&#xa0;al., 2022</xref>; <xref ref-type="bibr" rid="B27">Ng et&#xa0;al., 2012</xref>) for field applications. Therefore, easily integrated seawater <italic>p</italic>CO<sub>2</sub> instruments are needed for future collaborative observations.</p>
<p>To flexible investigate the seawater <italic>p</italic>CO<sub>2</sub> variations in Qingdao coastal waters, a customized and concise gas control module combined with standard gas (National Standard Material Research Center) and the bubble equilibrator of MAPCO<sub>2</sub> (<xref ref-type="bibr" rid="B14">Friederich et&#xa0;al., 1995</xref>; <xref ref-type="bibr" rid="B32">Sutton et&#xa0;al., 2014</xref>) which connects gas control module with two gas pipelines were deployed on a 15m intelligent buoy in this article. The module operates in three modes: seawater measurement, atmosphere measurement and calibration modes (<xref ref-type="fig" rid="f2">
<bold>Figure&#xa0;2A</bold>
</xref>). During seawater <italic>p</italic>CO<sub>2</sub> measurement, the gas driven by pump circularly goes out from the gas pipe (1.6 mm i.d., 3.2 mm o.d.) beneath seawater surface and continuously bubbles in the equilibrator which floated on the sea surface, then the gas returns to the gas control module through the other pipe (3.2 mm i.d., 6.4 mm o.d.). The equilibrator was made of copper-nickel alloy to prevent biofouling. More details for bubble equilibrator can be found in the paper by <xref ref-type="bibr" rid="B32">Sutton et&#xa0;al. (2014)</xref>. During monitoring, the control module timed measured standard gas by switching different modes. The 12V voltage for gas control module was provided by buoy&#x2019;s solar power, and data is transmitted over 3G/4G networks.</p>
<p>The gas control module is housed in a sealed cylindrical cabin, including NDIR detector (Licor850, LI-COR Biotechnology), gas flow sensor (AWM3300, Honeywell Automation &amp; Control, Inc.), desiccant (silica gel), CO<sub>2</sub> absorbent (soda lime), filter (1.0 &#xb5;m), gas pump (KLVP-SB12, Kamoer Fluid Tech Shanghai Co., Ltd., China), electromagnetic three-way valves (LVM105R-6B, SMC), customized multi-channel plate, gas pipe and the control circuit (<xref ref-type="fig" rid="f2">
<bold>Figure&#xa0;2</bold>
</xref>). The NDIR detector measures mole fraction of CO<sub>2</sub> (xCO<sub>2</sub>) and H<sub>2</sub>O (xH<sub>2</sub>O) in gas path at about 51.5 &#xb0;C, and has a thermal insulation cavity outside to ensure the stability and accuracy measurements. The desiccant is used to absorb vapor in the gas path. The soda lime is used to absorb CO<sub>2</sub> during zero gas calibration. The gas flow sensor is used to monitor the condition of system during measurement. The three-way valves were connected to the gas pipe through channels (diameter 1.5 mm) inside the multi-channel plate (<xref ref-type="fig" rid="f2">
<bold>Figure&#xa0;2B</bold>
</xref>). The gas control module could be operated in different modes based on the positions of three-way valves, similar to other instruments. The gas control module has the characteristics of simple structure and good integration.</p>
<p>Given the lack of drying methods for long-term autonomous measurements, the determined xCO<sub>2</sub> should be converted to dry xCO<sub>2</sub>. Finally, the <italic>p</italic>CO<sub>2</sub> of seawater at 100% humidity was calculated.</p>
<p>The dry xCO<sub>2</sub> was calculated using the following equation:</p>
<disp-formula id="eq1">
<label>(1)</label>
<mml:math display="block" id="M1">
<mml:mrow>
<mml:mi mathvariant="bold-italic">x</mml:mi>
<mml:mstyle mathvariant="bold" mathsize="normal">
<mml:mi>C</mml:mi>
</mml:mstyle>
<mml:msubsup>
<mml:mstyle mathvariant="bold" mathsize="normal">
<mml:mi>O</mml:mi>
</mml:mstyle>
<mml:mn mathvariant="bold">2</mml:mn>
<mml:mrow>
<mml:mi mathvariant="bold-italic">d</mml:mi>
<mml:mi mathvariant="bold-italic">r</mml:mi>
<mml:mi mathvariant="bold-italic">y</mml:mi>
</mml:mrow>
</mml:msubsup>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi mathvariant="bold-italic">x</mml:mi>
<mml:mstyle mathvariant="bold" mathsize="normal">
<mml:mi>C</mml:mi>
</mml:mstyle>
<mml:msub>
<mml:mstyle mathvariant="bold" mathsize="normal">
<mml:mi>O</mml:mi>
</mml:mstyle>
<mml:mn mathvariant="bold">2</mml:mn>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:mn mathvariant="bold">1</mml:mn>
<mml:mo>&#x2212;</mml:mo>
<mml:mi mathvariant="bold-italic">x</mml:mi>
<mml:msub>
<mml:mstyle mathvariant="bold" mathsize="normal">
<mml:mi>H</mml:mi>
</mml:mstyle>
<mml:mn mathvariant="bold">2</mml:mn>
</mml:msub>
<mml:mstyle mathvariant="bold" mathsize="normal">
<mml:mi>O</mml:mi>
</mml:mstyle>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
</disp-formula>
<p>where the xCO<sub>2</sub>
<sup>dry</sup> (&#xb5;mol mol<sup>-1</sup>) is xCO<sub>2</sub> in dry air, and xCO<sub>2</sub> (&#xb5;mol mol<sup>-1</sup>) and xH<sub>2</sub>O (mol mol<sup>-1</sup>) denote the measured concentrations.</p>
<p>The partial pressure of the surface seawater CO<sub>2</sub> (<italic>p</italic>CO<sub>2</sub>, &#xb5;atm) is calculated as follows:</p>
<disp-formula id="eq2">
<label>(2)</label>
<mml:math display="block" id="M2">
<mml:mrow>
<mml:mi mathvariant="bold-italic">p</mml:mi>
<mml:mstyle mathvariant="bold" mathsize="normal">
<mml:mi>C</mml:mi>
</mml:mstyle>
<mml:msub>
<mml:mstyle mathvariant="bold" mathsize="normal">
<mml:mi>O</mml:mi>
</mml:mstyle>
<mml:mn mathvariant="bold">2</mml:mn>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mtext>&#xa0;</mml:mtext>
<mml:mi mathvariant="bold-italic">x</mml:mi>
<mml:mstyle mathvariant="bold" mathsize="normal">
<mml:mi>C</mml:mi>
</mml:mstyle>
<mml:msubsup>
<mml:mstyle mathvariant="bold" mathsize="normal">
<mml:mi>O</mml:mi>
</mml:mstyle>
<mml:mrow>
<mml:mn mathvariant="bold">2</mml:mn>
<mml:mtext>&#xa0;</mml:mtext>
<mml:mstyle mathvariant="bold" mathsize="normal">
<mml:mi>c</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>r</mml:mi>
</mml:mstyle>
</mml:mrow>
<mml:mrow>
<mml:mstyle mathvariant="bold" mathsize="normal">
<mml:mi>d</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>y</mml:mi>
</mml:mstyle>
</mml:mrow>
</mml:msubsup>
<mml:mtext>&#xa0;</mml:mtext>
<mml:mo>&#xd7;</mml:mo>
<mml:mo stretchy="false">(</mml:mo>
<mml:mi mathvariant="bold-italic">p</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mi mathvariant="bold-italic">V</mml:mi>
<mml:msup>
<mml:mi mathvariant="bold-italic">P</mml:mi>
<mml:mrow>
<mml:msub>
<mml:mstyle mathvariant="bold" mathsize="normal">
<mml:mi>H</mml:mi>
</mml:mstyle>
<mml:mn mathvariant="bold">2</mml:mn>
</mml:msub>
<mml:msub>
<mml:mstyle mathvariant="bold" mathsize="normal">
<mml:mi>O</mml:mi>
</mml:mstyle>
<mml:mtext>&#xa0;</mml:mtext>
</mml:msub>
</mml:mrow>
</mml:msup>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:math>
</disp-formula>
<disp-formula id="eq3">
<label>(3)</label>
<mml:math display="block" id="M3">
<mml:mrow>
<mml:mtable>
<mml:mtr columnalign="left">
<mml:mtd columnalign="left">
<mml:mi mathvariant="bold-italic">V</mml:mi>
<mml:msup>
<mml:mi mathvariant="bold-italic">P</mml:mi>
<mml:mrow>
<mml:msub>
<mml:mstyle mathvariant="bold" mathsize="normal">
<mml:mi>H</mml:mi>
</mml:mstyle>
<mml:mn mathvariant="bold">2</mml:mn>
</mml:msub>
<mml:msub>
<mml:mstyle mathvariant="bold" mathsize="normal">
<mml:mi>O</mml:mi>
</mml:mstyle>
<mml:mtext>&#xa0;</mml:mtext>
</mml:msub>
</mml:mrow>
</mml:msup>
<mml:mo>=</mml:mo>
<mml:mstyle mathvariant="bold" mathsize="normal">
<mml:mi>e</mml:mi>
<mml:mi>x</mml:mi>
<mml:mi>p</mml:mi>
</mml:mstyle>
<mml:mtext>&#xa0;(</mml:mtext>
<mml:mn mathvariant="bold">24.4543</mml:mn>
<mml:mo>&#x2212;</mml:mo>
<mml:mn mathvariant="bold">67.4509</mml:mn>
<mml:mo>&#xd7;</mml:mo>
<mml:mo>(</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mn mathvariant="bold">100</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mstyle mathvariant="bold" mathsize="normal">
<mml:mi>t</mml:mi>
</mml:mstyle>
<mml:mo>+</mml:mo>
<mml:mn mathvariant="bold">273.15</mml:mn>
</mml:mrow>
</mml:mfrac>
<mml:mo>)</mml:mo>
</mml:mtd>
</mml:mtr>
<mml:mtr columnalign="left">
<mml:mtd columnalign="left">
<mml:mo>&#x2212;</mml:mo>
<mml:mn mathvariant="bold">4.8489</mml:mn>
<mml:mstyle mathvariant="bold" mathsize="normal">
<mml:mi>L</mml:mi>
<mml:mi>N</mml:mi>
</mml:mstyle>
<mml:mo>(</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mstyle mathvariant="bold" mathsize="normal">
<mml:mi>t</mml:mi>
</mml:mstyle>
<mml:mo>+</mml:mo>
<mml:mn mathvariant="bold">273.15</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mn mathvariant="bold">100</mml:mn>
</mml:mrow>
</mml:mfrac>
<mml:mo>)</mml:mo>
<mml:mo>&#x2212;</mml:mo>
<mml:mn mathvariant="bold">0.000544</mml:mn>
<mml:mo>&#xd7;</mml:mo>
<mml:mstyle mathvariant="bold" mathsize="normal">
<mml:mi>S</mml:mi>
</mml:mstyle>
<mml:mo>)</mml:mo>
</mml:mtd>
</mml:mtr>
</mml:mtable>
</mml:mrow>
</mml:math>
</disp-formula>
<p>where <inline-formula>
<mml:math display="inline" id="im1">
<mml:mrow>
<mml:mi>x</mml:mi>
<mml:msubsup>
<mml:mrow>
<mml:mtext>CO</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
<mml:mtext>&#xa0;corr</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mtext>dry</mml:mtext>
</mml:mrow>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> is the corrected xCO<sub>2</sub>, <italic>p</italic> denotes the pressure (atm) of atmosphere, and <inline-formula>
<mml:math display="inline" id="im2">
<mml:mrow>
<mml:mi>V</mml:mi>
<mml:msup>
<mml:mi>P</mml:mi>
<mml:mrow>
<mml:msub>
<mml:mtext>H</mml:mtext>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:msub>
<mml:mtext>O</mml:mtext>
<mml:mtext>&#xa0;</mml:mtext>
</mml:msub>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula> refers to the water vapor pressure at 100% humidity obtained using the <italic>in-situ</italic> temperature (t, &#xb0;C) and salinity (S) (<xref ref-type="bibr" rid="B38">Weiss and Price, 1980</xref>).</p>
<p>The precision of the <italic>p</italic>CO<sub>2</sub> measurement system was evaluated through repeated measurements of seawater samples, and the results were expressed as standard deviation (SD) of xCO<sub>2</sub>. The seawater samples were adjusted to various <italic>p</italic>CO<sub>2</sub> values using NaOH and HCl solutions. <xref ref-type="table" rid="T1">
<bold>Table&#xa0;1</bold>
</xref> shows the precision of the seawater <italic>p</italic>CO<sub>2</sub> measurement system during repeated measurements of three seawater samples in the laboratory. With xCO<sub>2</sub> values in the range of 390&#x2013;800 &#xb5;mol mol<sup>-1</sup>, the measurement system exhibited a precision better than 1 &#xb5;mol mol<sup>-1</sup>, with the SD ranging from 0.67 &#xb5;mol mol<sup>-1</sup> to 0.84 &#xb5;mol mol<sup>-1</sup>. Good precision here provides a prerequisite for obtaining good accuracy.</p>
<table-wrap id="T1" position="float">
<label>Table&#xa0;1</label>
<caption>
<p>Precision test in the laboratory.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" align="center">xCO<sub>2</sub>
<break/>(&#xb5;mol mol<sup>-1</sup>)</th>
<th valign="middle" align="center">Standard Deviation<break/>(&#xb5;mol mol<sup>-1</sup>)</th>
<th valign="middle" align="center">Measurements</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="middle" align="center">390.0</td>
<td valign="middle" align="center">0.79</td>
<td valign="middle" align="center">10</td>
</tr>
<tr>
<td valign="middle" align="center">633.8</td>
<td valign="middle" align="center">0.67</td>
<td valign="middle" align="center">6</td>
</tr>
<tr>
<td valign="middle" align="center">799.5</td>
<td valign="middle" align="center">0.84</td>
<td valign="middle" align="center">8</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>The accuracy was evaluated by comparing with an underway seawater <italic>p</italic>CO<sub>2</sub> instrument (GO8050, General Oceanics, INC.). The accuracy was expressed as the relative error of xCO<sub>2</sub> (<xref ref-type="table" rid="T2">
<bold>Table&#xa0;2</bold>
</xref>). Prior to comparison, the underway instrument was calibrated using standard gases. For comparison, equilibrator and water pump of the underway instrument were placed in a thermostatic bath containing the seawater samples. The accuracy was estimated in a xCO<sub>2</sub> range of 200 &#x2013; 1000 &#xb5;mol mol<sup>-1</sup> through adjustment of seawater with HCl and NaOH solutions. The average of 10 continuous measurements obtained by the GO8050 analyzer after equilibrium was considered the true value. In the xCO<sub>2</sub> range of 200 &#x2013; 1000 &#xb5;mol/mol, the error was -5.1 &#x2013; 2.3 &#xb5;mol mol<sup>-1</sup>, and the relative error was within 1%.</p>
<table-wrap id="T2" position="float">
<label>Table&#xa0;2</label>
<caption>
<p>Accuracy test in the laboratory.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="top" align="center">Measured xCO<sub>2</sub> of developed instrument<break/>(&#xb5;mol mol<sup>-1</sup>)</th>
<th valign="top" align="center">Measured xCO<sub>2</sub> of GO (&#xb5;mol mol<sup>-1</sup>)</th>
<th valign="top" align="center">Error<break/>(&#xb5;mol mol<sup>-1</sup>)</th>
<th valign="top" align="center">Relative error</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="center">226.7</td>
<td valign="top" align="center">229.0</td>
<td valign="top" align="center">-2.3</td>
<td valign="top" align="center">1.0%</td>
</tr>
<tr>
<td valign="top" align="center">467.0</td>
<td valign="top" align="center">467.6</td>
<td valign="top" align="center">-0.6</td>
<td valign="top" align="center">0.1%</td>
</tr>
<tr>
<td valign="top" align="center">605.1</td>
<td valign="top" align="center">602.8</td>
<td valign="top" align="center">2.3</td>
<td valign="top" align="center">0.4%</td>
</tr>
<tr>
<td valign="top" align="center">1065.7</td>
<td valign="top" align="center">1070.8</td>
<td valign="top" align="center">-5.1</td>
<td valign="top" align="center">0.5%</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="s2_4">
<label>2.4</label>
<title>Data processing</title>
<p>To eliminate the thermodynamic influence of temperature, we normalized <italic>p</italic>CO<sub>2</sub> to the average temperature of the investigation (n<italic>p</italic>CO<sub>2</sub>) by <xref ref-type="bibr" rid="B34">Takahashi et&#xa0;al. (1993)</xref>:</p>
<disp-formula id="eq4">
<label>(4)</label>
<mml:math display="block" id="M4">
<mml:mrow>
<mml:mstyle mathvariant="bold" mathsize="normal">
<mml:mi>n</mml:mi>
</mml:mstyle>
<mml:mi mathvariant="bold-italic">p</mml:mi>
<mml:mstyle mathvariant="bold" mathsize="normal">
<mml:mi>C</mml:mi>
</mml:mstyle>
<mml:msub>
<mml:mstyle mathvariant="bold" mathsize="normal">
<mml:mi>O</mml:mi>
</mml:mstyle>
<mml:mn mathvariant="bold">2</mml:mn>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mo>&#xa0;</mml:mo>
<mml:mi mathvariant="bold-italic">p</mml:mi>
<mml:mstyle mathvariant="bold" mathsize="normal">
<mml:mi>C</mml:mi>
</mml:mstyle>
<mml:msub>
<mml:mstyle mathvariant="bold" mathsize="normal">
<mml:mi>O</mml:mi>
</mml:mstyle>
<mml:mn mathvariant="bold">2</mml:mn>
</mml:msub>
<mml:mo>&#xa0;</mml:mo>
<mml:mo>&#xd7;</mml:mo>
<mml:mstyle mathvariant="bold" mathsize="normal">
<mml:mi>e</mml:mi>
<mml:mi>x</mml:mi>
<mml:mi>p</mml:mi>
</mml:mstyle>
<mml:mo stretchy="false">(</mml:mo>
<mml:mn mathvariant="bold">0.0423</mml:mn>
<mml:mo>&#xa0;</mml:mo>
<mml:mo>&#xd7;</mml:mo>
<mml:mo stretchy="false">(</mml:mo>
<mml:msub>
<mml:mstyle mathvariant="bold" mathsize="normal">
<mml:mi>t</mml:mi>
</mml:mstyle>
<mml:mstyle mathvariant="bold" mathsize="normal">
<mml:mi>m</mml:mi>
</mml:mstyle>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:mstyle mathvariant="bold" mathsize="normal">
<mml:mi>S</mml:mi>
<mml:mi>S</mml:mi>
<mml:mi>T</mml:mi>
</mml:mstyle>
<mml:mo stretchy="false">)</mml:mo>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:math>
</disp-formula>
<p>where n<italic>p</italic>CO<sub>2</sub> is the normalized <italic>p</italic>CO<sub>2</sub>, and t<sub>m</sub> denotes the average temperature during the time series monitoring. Meanwhile, simulated <italic>p</italic>CO<sub>2</sub> changes solely caused by temperature could be calculated when SST is the initial temperature and t<sub>m</sub> is the observed temperature.</p>
<p>Air&#x2013;sea CO<sub>2</sub> flux (<italic>F</italic>CO<sub>2</sub>, mmol m<sup>-2</sup>d<sup>-1</sup>) was estimated according to the following equation:</p>
<disp-formula id="eq5">
<label>(5)</label>
<mml:math display="block" id="M5">
<mml:mrow>
<mml:mi mathvariant="bold-italic">F</mml:mi>
<mml:mstyle mathvariant="bold" mathsize="normal">
<mml:mi>C</mml:mi>
</mml:mstyle>
<mml:msub>
<mml:mstyle mathvariant="bold" mathsize="normal">
<mml:mi>O</mml:mi>
</mml:mstyle>
<mml:mn mathvariant="bold">2</mml:mn>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mi mathvariant="bold-italic">k</mml:mi>
<mml:mo>&#xd7;</mml:mo>
<mml:msub>
<mml:mi mathvariant="bold-italic">K</mml:mi>
<mml:mn mathvariant="bold">0</mml:mn>
</mml:msub>
<mml:mo>&#xd7;</mml:mo>
<mml:mo stretchy="false">(</mml:mo>
<mml:mi mathvariant="bold-italic">p</mml:mi>
<mml:mstyle mathvariant="bold" mathsize="normal">
<mml:mi>C</mml:mi>
</mml:mstyle>
<mml:msub>
<mml:mstyle mathvariant="bold" mathsize="normal">
<mml:mi>O</mml:mi>
</mml:mstyle>
<mml:mrow>
<mml:mn mathvariant="bold">2</mml:mn>
<mml:mtext>&#xa0;</mml:mtext>
<mml:mstyle mathvariant="bold" mathsize="normal">
<mml:mi>w</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>r</mml:mi>
</mml:mstyle>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:mi mathvariant="bold-italic">p</mml:mi>
<mml:mstyle mathvariant="bold" mathsize="normal">
<mml:mi>C</mml:mi>
</mml:mstyle>
<mml:msub>
<mml:mstyle mathvariant="bold" mathsize="normal">
<mml:mi>O</mml:mi>
</mml:mstyle>
<mml:mrow>
<mml:mn mathvariant="bold">2</mml:mn>
<mml:mtext>&#xa0;</mml:mtext>
<mml:mstyle mathvariant="bold" mathsize="normal">
<mml:mi>a</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>r</mml:mi>
</mml:mstyle>
</mml:mrow>
</mml:msub>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:math>
</disp-formula>
<p>where <italic>k</italic> indicates the gas transfer velocity, <italic>K</italic>
<sub>0</sub> represents the solubility coefficient of CO<sub>2</sub> (<xref ref-type="bibr" rid="B37">Weiss, 1974</xref>), and <italic>p</italic>CO<sub>2water</sub> and <italic>p</italic>CO<sub>2air</sub> are the <italic>p</italic>CO<sub>2</sub> in the surface water and atmosphere, respectively. <italic>k</italic> was estimated using the formula proposed by <xref ref-type="bibr" rid="B33">Sweeney et&#xa0;al. (2007)</xref>.</p>
<disp-formula id="eq6">
<label>(6)</label>
<mml:math display="block" id="M6">
<mml:mrow>
<mml:mi mathvariant="bold-italic">k</mml:mi>
<mml:mo>=</mml:mo>
<mml:mn mathvariant="bold">0.27</mml:mn>
<mml:mo>&#xd7;</mml:mo>
<mml:msubsup>
<mml:mi mathvariant="bold-italic">U</mml:mi>
<mml:mrow>
<mml:mn mathvariant="bold">10</mml:mn>
</mml:mrow>
<mml:mn mathvariant="bold">2</mml:mn>
</mml:msubsup>
<mml:mo>&#xd7;</mml:mo>
<mml:msup>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mi mathvariant="bold-italic">S</mml:mi>
<mml:mi mathvariant="bold-italic">c</mml:mi>
<mml:mo stretchy="false">/</mml:mo>
<mml:mn mathvariant="bold">660</mml:mn>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn mathvariant="bold">0.5</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:math>
</disp-formula>
<p>where U<sub>10</sub> (m s<sup>-1</sup>) refers to the wind speed at 10 m height. Sc denotes the Schmidt number of CO<sub>2</sub> in seawater (<xref ref-type="bibr" rid="B36">Wanninkhof, 1992</xref>). In this paper, a positive value of <italic>F</italic>CO<sub>2</sub> denoted CO<sub>2</sub> release from water to the atmosphere.</p>
</sec>
</sec>
<sec id="s3" sec-type="results">
<label>3</label>
<title>Results and discussion</title>
<sec id="s3_1">
<label>3.1</label>
<title>Variations of monitoring data at coastal site</title>
<p>During the buoy-based time series observation period of May 29 &#x2013; July 25, 2024, <italic>U. prolifera</italic> bloom was observed at Qingdao coastal region based on satellite remote images. Its coverage increased in mid-July and then decreased in late July (<xref ref-type="fig" rid="f3">
<bold>Figure&#xa0;3</bold>
</xref>). The SST increased from approximately 16&#xb0;C to 22&#xb0;C (<xref ref-type="fig" rid="f4">
<bold>Figure&#xa0;4A</bold>
</xref>) due to the increase in solar radiation. By contrast, SSS showed a decreased trend and ranged from ~31.0 PSU to ~29.2 PSU (<xref ref-type="fig" rid="f4">
<bold>Figure&#xa0;4A</bold>
</xref>). The sudden decrease in SSS during the observation period was possibly due to rainfall. On the days when the salinity dropped to about 29.2 PSU (July 8, July 16 and July 22), the daily rainfall at the observatory near Xiaomaidao Island was 58 mm, 39 mm and 48 mm, respectively (<ext-link ext-link-type="uri" xlink:href="http://swglj.qingdao.gov.cn">http://swglj.qingdao.gov.cn</ext-link>). During the observation period, the tidal height varied between 56 cm and 437 cm (<xref ref-type="fig" rid="f4">
<bold>Figure&#xa0;4B</bold>
</xref>). DO% also showed a general downward trend, varying within a range of 112% to 89% during the investigation period, and temporarily high values were observed in July (<xref ref-type="fig" rid="f4">
<bold>Figure&#xa0;4D</bold>
</xref>). Sea surface <italic>p</italic>CO<sub>2</sub> ranged from 519 &#xb5;atm to 717 &#xb5;atm, with an average of 615 &#xb1; 45 &#xb5;atm, and the daily average sea surface <italic>p</italic>CO<sub>2</sub> increased by ~110 &#xb5;atm at the end of observation compared with that in the beginning (<xref ref-type="fig" rid="f4">
<bold>Figure&#xa0;4C</bold>
</xref>). While the n<italic>p</italic>CO<sub>2</sub> of seawater showed a slightly decreasing trend, and a ~30 &#xb5;atm lower daily average n<italic>p</italic>CO<sub>2</sub> was observed at the end of observation compared with that in the beginning (<xref ref-type="fig" rid="f4">
<bold>Figure&#xa0;4D</bold>
</xref>). In addition, both surface <italic>p</italic>CO<sub>2</sub> and n<italic>p</italic>CO<sub>2</sub> showed a rapid decline and rise from July 12 to 21, and then the values remained stable.</p>
<fig id="f3" position="float">
<label>Figure&#xa0;3</label>
<caption>
<p>Satellite images of <italic>U. prolifera</italic> distribution. Panels <bold>(A-F)</bold> showed the distributions of <italic>U. prolifera</italic> on June 10, June 25, June 30, July 10, July 18 and July 21, 2024, respectively. These images were obtained using the monitoring data of GF-6 WFV and HJ-2A/2B CCD satellites (<ext-link ext-link-type="uri" xlink:href="https://www.cresda.com/zgzywxyyzx/index.html">https://www.cresda.com/zgzywxyyzx/index.html</ext-link>) with 16m spatial resolution. The <italic>U. prolifera</italic> on June 10, June 30 and July 10 were indicated by red arrows.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-12-1496359-g003.tif"/>
</fig>
<fig id="f4" position="float">
<label>Figure&#xa0;4</label>
<caption>
<p>Variations in SST and SSS <bold>(A)</bold>, tidal height <bold>(B)</bold>, surface <italic>p</italic>CO<sub>2</sub> <bold>(C)</bold>, n<italic>p</italic>CO<sub>2</sub> and DO% <bold>(D)</bold>, wind speed <bold>(E)</bold>, and <italic>F</italic>CO<sub>2</sub> <bold>(F)</bold> from May 29 to July 19, 2024.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-12-1496359-g004.tif"/>
</fig>
<p>The atmospheric <italic>p</italic>CO<sub>2</sub> was 417 &#xb5;atm, which is lower than that of seawater. Thus, this observation site served as a CO<sub>2</sub> source for the atmosphere throughout the observation period in 2024. The wind speed ranged from 0.1 m s<sup>-1</sup> to 18.5 m s<sup>-1</sup>, and the average was 3.0 m s<sup>-1</sup> (<xref ref-type="fig" rid="f4">
<bold>Figure&#xa0;4E</bold>
</xref>). The large variations in wind speed and seawater <italic>p</italic>CO<sub>2</sub> induced considerable changes in CO<sub>2</sub> flux. The influence of wind speed is particularly important. According to <xref ref-type="disp-formula" rid="eq6">Equation 6</xref>, the influence of wind speed on CO<sub>2</sub> flux is quadratic. The CO<sub>2</sub> flux ranged from less than 1 mmol m<sup>-2</sup> d<sup>-1</sup> to over 100 mmol m<sup>-2</sup> d<sup>-1</sup>, roughly consistent with wind speed, with an average value of 5.9 mmol m<sup>-2</sup> d<sup>-1</sup> (<xref ref-type="fig" rid="f4">
<bold>Figure&#xa0;4F</bold>
</xref>). Furthermore, the variations in CO<sub>2</sub> flux during the observation period demonstrated the importance of high-resolution monitoring in carbon flux estimation. Based on collected data, the seawater at investigation site near Xiaomaidao Island released 334 mmol CO<sub>2</sub> m<sup>-2</sup> to the atmosphere during May 29 &#x2013; July 25, 2024.</p>
<p>The data collected in the western part of the southern Yellow Sea which lies approximately between 33&#xb0;N and 37&#xb0;N and west of the 50m isobath (<xref ref-type="bibr" rid="B35">Wang and Zhai, 2021</xref>) and Jiaozhou Bay (<xref ref-type="bibr" rid="B20">Li et&#xa0;al., 2023</xref>) during summer were compared with the investigation results of this study (<xref ref-type="table" rid="T3">
<bold>Table&#xa0;3</bold>
</xref>). It was shown that the western part of the southern Yellow Sea had relatively lower SST, seawater <italic>p</italic>CO<sub>2</sub>, CO<sub>2</sub> flux, and higher SSS, while lower SSS accompanied with higher SST, seawater <italic>p</italic>CO<sub>2</sub> and CO<sub>2</sub> flux were observed in Jiaozhou Bay compared with this study. During summer the Jiaozhou Bay became a strong source of atmospheric CO<sub>2</sub>. In addition to the higher SST, terrestrial inputs were also the reason for the high sea surface <italic>p</italic>CO<sub>2</sub> and CO<sub>2</sub> flux in Jiaozhou Bay. It was reported that except for the Dagu River, most rivers in Jiaozhou Bay had no pristine runoff and almost became channels of wastewater which was abundant in <italic>p</italic>CO<sub>2</sub>, resulting in the high seawater <italic>p</italic>CO<sub>2</sub> values observed in Jiaozhou Bay (<xref ref-type="bibr" rid="B15">Gao et&#xa0;al., 2008</xref>; <xref ref-type="bibr" rid="B20">Li et&#xa0;al., 2023</xref>). Though there was no freshwater input from rivers near Xiaomaidao Island, the Qingdao coast area was significantly disturbed by human activities (<xref ref-type="bibr" rid="B42">Yang et&#xa0;al., 2018</xref>; <xref ref-type="bibr" rid="B24">Liu X. et&#xa0;al., 2019</xref>), making its sea surface <italic>p</italic>CO<sub>2</sub> higher than that of the western part of the southern Yellow Sea.</p>
<table-wrap id="T3" position="float">
<label>Table&#xa0;3</label>
<caption>
<p>Means and ranges (in brackets) of SST, SSS, seawater <italic>p</italic>CO<sub>2</sub>, and <italic>F</italic>CO<sub>2</sub> at the time series site during 2024 and comparisons of these data with those obtained on the western part of southern Yellow Sea and the Jiaozhou Bay from literature.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" align="center">Time</th>
<th valign="middle" align="center">SST<break/>(&#xb0;C)</th>
<th valign="middle" align="center">SSS</th>
<th valign="middle" align="center">
<italic>p</italic>CO<sub>2</sub> (&#xb5;atm)</th>
<th valign="middle" align="center">
<italic>F</italic>CO<sub>2</sub>
<break/>(mmol m<sup>-2</sup> d<sup>-1</sup>)</th>
</tr>
</thead>
<tbody>
<tr>
<th valign="middle" colspan="5" align="left">Coastal time series site near Xiaomaidao Island (This study)</th>
</tr>
<tr>
<td valign="middle" align="center">2024 &#x2013; 06<break/>(1 &#x2013; 30 Jun, 2019)</td>
<td valign="middle" align="center">19.1 &#xb1; 1.2<break/>(16.5 &#x2013; 21.7)</td>
<td valign="middle" align="center">30.9 &#xb1; 0.04<break/>(30.7 &#x2013; 31.0)</td>
<td valign="middle" align="center">593&#xb1; 35<break/>(520 &#x2013; 690)</td>
<td valign="middle" align="center">3.4 &#xb1; 3.9</td>
</tr>
<tr>
<td valign="middle" align="center">2024 &#x2013; 07<break/>(1 &#x2013; 25 Jul, 2019)</td>
<td valign="middle" align="center">21.8 &#xb1; 0.9<break/>(19.5 &#x2013; 24.4)</td>
<td valign="middle" align="center">30.4 &#xb1; 0.3<break/>(29.2 &#x2013; 31.0)</td>
<td valign="middle" align="center">648 &#xb1; 35<break/>(519 &#x2013; 717)</td>
<td valign="middle" align="center">9.1 &#xb1; 14.4</td>
</tr>
<tr>
<th valign="middle" colspan="5" align="left">Western part of southern Yellow Sea (<xref ref-type="bibr" rid="B35">Wang and Zhai, 2021</xref>)</th>
</tr>
<tr>
<td valign="middle" align="center">2011 &#x2013; 06</td>
<td valign="middle" align="center">17.8 &#xb1; 1.6<break/>(15.0 &#x2013; 20.4)</td>
<td valign="middle" align="center">31.6 &#xb1; 0.3<break/>(31.0 &#x2013; 32.0)</td>
<td valign="middle" align="center">430 &#xb1; 69<break/>(323 &#x2013; 538)</td>
<td valign="middle" align="center">2.6 &#xb1; 4.3</td>
</tr>
<tr>
<td valign="middle" align="center">2016 &#x2013; 07</td>
<td valign="middle" align="center">21.7 &#xb1; 1.7<break/>(18.4 &#x2013; 24.0)</td>
<td valign="middle" align="center">30.9 &#xb1; 1.1<break/>(28.4 &#x2013; 31.9)</td>
<td valign="middle" align="center">440 &#xb1; 130<break/>(221 &#x2013; 574)</td>
<td valign="middle" align="center">3.6 &#xb1; 9.2</td>
</tr>
<tr>
<th valign="middle" colspan="5" align="left">Jiaozhou Bay (<xref ref-type="bibr" rid="B20">Li et&#xa0;al., 2023</xref>)</th>
</tr>
<tr>
<td valign="middle" align="center">13 Jun. 2014</td>
<td valign="middle" align="center">21.39 &#xb1; 1.54</td>
<td valign="middle" align="center">30.52 &#xb1; 0.34</td>
<td valign="middle" align="center">675 &#xb1; 138</td>
<td valign="middle" align="center">17.4 &#xb1; 6.9</td>
</tr>
<tr>
<td valign="middle" align="center">01 Jul. 2014</td>
<td valign="middle" align="center">23.14 &#xb1; 1.22</td>
<td valign="middle" align="center">30.63 &#xb1; 0.15</td>
<td valign="middle" align="center">723 &#xb1; 118</td>
<td valign="middle" align="center">17.6 &#xb1; 5.1</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="s3_2">
<label>3.2</label>
<title>Factors affecting sea surface <italic>p</italic>CO<sub>2</sub> during time serious observation</title>
<p>The temporal variation of seawater <italic>p</italic>CO<sub>2</sub> in coastal regions resulted from the interaction of multiple processes, at least including temperature effect, air-sea CO<sub>2</sub> exchange, mixing processes and phytoplankton activity (<xref ref-type="bibr" rid="B8">Borges et&#xa0;al., 2006</xref>; <xref ref-type="bibr" rid="B41">Xue et&#xa0;al., 2016</xref>). Consistent with other studies of seawater <italic>p</italic>CO<sub>2</sub> (<xref ref-type="bibr" rid="B41">Xue et&#xa0;al., 2016</xref>; <xref ref-type="bibr" rid="B16">Hu et&#xa0;al., 2024</xref>; <xref ref-type="bibr" rid="B20">Li et&#xa0;al., 2023</xref>), we used Pearson correlation analysis to explore the factors affecting sea surface <italic>p</italic>CO<sub>2</sub> variations, where the square of the correlation coefficient r<sup>2</sup> represents relevance and the p-value of less than 0.01 in the analysis results represented 99% confidence level (<xref ref-type="fig" rid="f5">
<bold>Figure&#xa0;5</bold>
</xref>). Consistent with the ~6 &#xb0;C increase in SST, sea surface <italic>p</italic>CO<sub>2</sub> except for the low values from July 12 &#x2013; 21 showed an increasing trend during the time series monitoring, and it was strongly positive correlated with SST (r<sup>2</sup> = 0.76, p&lt;0.01) (<xref ref-type="fig" rid="f5">
<bold>Figure&#xa0;5A</bold>
</xref>), indicating the important influence of increasing temperature on the variations in <italic>p</italic>CO<sub>2</sub> during this period. In addition, the temperature driven <italic>p</italic>CO<sub>2</sub> values simulated according to the model proposed by <xref ref-type="bibr" rid="B34">Takahashi et&#xa0;al. (1993)</xref> were in good agreement with the observed values except for the low values during July 12 &#x2013; 21 (<xref ref-type="fig" rid="f5">
<bold>Figure&#xa0;5A</bold>
</xref>), also suggesting the major control of SST on seawater <italic>p</italic>CO<sub>2</sub> during this period. However, the daily average temperature simulated <italic>p</italic>CO<sub>2</sub> value on July 25 was 34 &#x3bc;atm higher than that of the observed value, indicating influence of other factors.</p>
<fig id="f5" position="float">
<label>Figure&#xa0;5</label>
<caption>
<p>Sea surface <italic>p</italic>CO<sub>2</sub> versus SST <bold>(A)</bold>, n<italic>p</italic>CO<sub>2</sub> versus SSS <bold>(B)</bold>, and n<italic>p</italic>CO<sub>2</sub> versus DO% <bold>(C)</bold> from May 29 to July 25, 2024. Positive correlation between <italic>p</italic>CO<sub>2</sub> and SST on May 29 &#x2013; July 11 and July 22 &#x2013; 25, and negative correlation between n<italic>p</italic>CO<sub>2</sub> and DO% on July 12 &#x2013; 21 were observed. In panel <bold>(A)</bold>, red lines indicate simulated <italic>p</italic>CO<sub>2</sub> driven by temperature variations based on <xref ref-type="disp-formula" rid="eq4">Equation 4</xref>.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-12-1496359-g005.tif"/>
</fig>
<p>By normalizing the <italic>p</italic>CO<sub>2</sub> values to the average SST, n<italic>p</italic>CO<sub>2</sub> values were obtained to evaluate influence of other factors on sea surface <italic>p</italic>CO<sub>2</sub>. SSS showed a decreased trend in this study, while n<italic>p</italic>CO<sub>2</sub> did not evidently increase, and no correlation between n<italic>p</italic>CO<sub>2</sub> and tide (<xref ref-type="fig" rid="f5">
<bold>Figure&#xa0;5B</bold>
</xref>), suggesting that the influence of terrestrial inputs with abundant <italic>p</italic>CO<sub>2</sub> was offset by other processes, such as biological activity and air-sea CO<sub>2</sub> exchange. During the whole observation period, the decreased trend of DO% and a ~30 &#xb5;atm decrease in n<italic>p</italic>CO<sub>2</sub> implied that biological activity was not an important factor controlling the seawater <italic>p</italic>CO<sub>2</sub> change. Considering the slight decrease in the level of n<italic>p</italic>CO<sub>2</sub> during the overall period, the release of CO<sub>2</sub> from seawater to atmosphere in the air&#x2013;sea exchange process may also influence the <italic>p</italic>CO<sub>2</sub> variations.</p>
</sec>
<sec id="s3_3">
<label>3.3</label>
<title>
<italic>U. Prolifera</italic> blooms affecting sea surface <italic>p</italic>CO<sub>2</sub>
</title>
<p>Since July 12, both the surface <italic>p</italic>CO<sub>2</sub> and n<italic>p</italic>CO<sub>2</sub> showed an obvious decrease and the daily average of seawater <italic>p</italic>CO<sub>2</sub> and n<italic>p</italic>CO<sub>2</sub> reached the lowest on July 16 &#x2013; 17, with values of 563 &#x3bc;atm and ~488 &#x3bc;atm, respectively, which were 116 &#x3bc;atm of <italic>p</italic>CO<sub>2</sub> and 147 &#x3bc;atm of n<italic>p</italic>CO<sub>2</sub> lower than those in July 12, and then the daily average <italic>p</italic>CO<sub>2</sub> and n<italic>p</italic>CO<sub>2</sub> value increased to 669 &#x3bc;atm and 615 &#x3bc;atm on July 21, respectively. On the contrary, the daily average DO% reached ~102% on July 16 &#x2013; 17 and then decreased. The n<italic>p</italic>CO<sub>2</sub> exhibited a negative correlation with DO% during July 12 &#x2013; 21 (r<sup>2</sup> = 0.51, p&lt;0.01) (<xref ref-type="fig" rid="f5">
<bold>Figure&#xa0;5C</bold>
</xref>), indicating the important influence of biological activity on the variation in <italic>p</italic>CO<sub>2</sub> during this special period.</p>
<p>Based on satellite remote images, <italic>U. prolifera</italic> was observed to increase obviously on July 18 (<xref ref-type="fig" rid="f3">
<bold>Figure&#xa0;3E</bold>
</xref>), which was roughly consistent with the date of the seawater <italic>p</italic>CO<sub>2</sub> reduction, indicating the influence of <italic>U. prolifera</italic> bloom on carbonate system. The rapidly decreasing <italic>p</italic>CO<sub>2</sub> and increasing DO% in seawater was caused by the biological production of <italic>U. prolifera</italic>. It was reported that at the early bloom stage, photosynthesis of macroalga can quickly absorb dissolved inorganic carbon in seawater, leading to a decrease of <italic>p</italic>CO<sub>2</sub> in seawater (<xref ref-type="bibr" rid="B21">Li et&#xa0;al., 2014</xref>; <xref ref-type="bibr" rid="B44">Zhang et&#xa0;al., 2019</xref>). The cruise investigation at offshore area of Qingdao (<xref ref-type="bibr" rid="B16">Hu et&#xa0;al., 2024</xref>) also showed the decreased dissolved inorganic carbon and increased pH in seawater during bloom phase. Subsequently, as shown in satellite image on July 21(<xref ref-type="fig" rid="f3">
<bold>Figure&#xa0;3F</bold>
</xref>), the amount of <italic>U. prolifera</italic> decreased, which may be caused by manual cleaning and sink of the decaying macroalga. Thus, the rising <italic>p</italic>CO<sub>2</sub> and decreased DO% in seawater after July 17 was related to the decomposition and respiration of decaying algae by microorganisms. Previous studies on the <italic>U. prolifera</italic> affecting the carbonate system in the Qingdao coastal area usually focused on the late bloom or after bloom period. These reports also found the release of CO<sub>2</sub> and reduced DO during the late bloom period (<xref ref-type="bibr" rid="B11">Deng et&#xa0;al., 2018</xref>; <xref ref-type="bibr" rid="B40">Xiong et&#xa0;al., 2023</xref>). However, previous studies were based on limited sample collection, and the effect of <italic>U. prolifera</italic> on carbonate system mostly examined vis incubation experiment, lacking <italic>in-situ</italic> continuous observations (<xref ref-type="bibr" rid="B11">Deng et&#xa0;al., 2018</xref>; <xref ref-type="bibr" rid="B40">Xiong et&#xa0;al., 2023</xref>). The time series observation in this work captured the significant effect of the continuous changing <italic>U. prolifera</italic> on seawater <italic>p</italic>CO<sub>2</sub>, especially the influence on obvious decrease of seawater <italic>p</italic>CO<sub>2</sub> at early bloom stage, which confirms that the high-resolution measurements are essential for the study of carbonate system during algal blooms and provides a reference for the future study of the <italic>U. prolifera blooms</italic> influence on carbonate system.</p>
</sec>
</sec>
<sec id="s4" sec-type="conclusion">
<label>4</label>
<title>Conclusion</title>
<p>The buoy-based time series monitoring seawater <italic>p</italic>CO<sub>2</sub> near Xiaomaidao Island during summer showed the necessity for high-resolution measurement of <italic>p</italic>CO<sub>2</sub> in coastal seawater. During the observation period, the surface seawater <italic>p</italic>CO<sub>2</sub> showed a generally increased trend, with an average value of 615 &#xb1; 45 &#xb5;atm, and it was mainly affected by the increased temperature except for the decreased <italic>p</italic>CO<sub>2</sub> during July 12-21. We captured the rapid decline and rise of seawater <italic>p</italic>CO<sub>2</sub> and npCO<sub>2</sub> during this special period which was caused by the <italic>U. prolifera</italic> bloom, and the daily mean seawater <italic>p</italic>CO<sub>2</sub> and n<italic>p</italic>CO<sub>2</sub> decreased by 116 &#x3bc;atm and 147 &#x3bc;atm, respectively, compared with the values before decrease. Jiaozhou Bay was a strong source of atmospheric CO<sub>2</sub> during summer, and the observation site was also acted as a CO<sub>2</sub> source. The CO<sub>2</sub> flux of observation site was greatly affected by wind speed and seawater <italic>p</italic>CO<sub>2</sub>, releasing 334 mmol CO<sub>2</sub> m<sup>-2</sup> throughout the investigation period.</p>
</sec>
</body>
<back>
<sec id="s5" 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="s6" sec-type="author-contributions">
<title>Author contributions</title>
<p>LC: Conceptualization, Data curation, Funding acquisition, Writing &#x2013; original draft. SL: Formal analysis, Writing &#x2013; review &amp; editing. SZ: Investigation, Methodology, Writing &#x2013; review &amp; editing. NWu: Investigation, Writing &#x2013; review &amp; editing. KZ: Data curation, Writing &#x2013; review &amp; editing. WL: Investigation, Writing &#x2013; review &amp; editing. RM: Investigation, Writing &#x2013; review &amp; editing. DC: Methodology, Writing &#x2013; review &amp; editing. NWa: Supervision, Writing &#x2013; review &amp; editing. YL: Supervision, Methodology, Writing &#x2013; review &amp; editing.</p>
</sec>
<sec id="s7" sec-type="funding-information">
<title>Funding</title>
<p>The author(s) declare financial support was received for the research, authorship, and/or publication of this article. This work was supported by the Natural Science Foundation of China (42106185).</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>
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