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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Mar. Sci.</journal-id>
<journal-title>Frontiers in Marine Science</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Mar. Sci.</abbrev-journal-title>
<issn pub-type="epub">2296-7745</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.3389/fmars.2022.855479</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>Multiple Lenses of N-Isotopes Reveal Active Dissolved Organic Nitrogen Cycling in a Subtropical Estuary and Marginal Sea</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Zhong</surname>
<given-names>Xiaosong</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Yan</surname>
<given-names>Maojun</given-names>
</name>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Xu</surname>
<given-names>Wenqi</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Yan</surname>
<given-names>Zhenwei</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Xu</surname>
<given-names>Feng</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Dong</surname>
<given-names>Shuhang</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Xin</surname>
<given-names>Yu</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="author-notes" rid="fn001">
<sup>*</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/571038"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Shi</surname>
<given-names>Xiaoyong</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="aff" rid="aff4">
<sup>4</sup>
</xref>
<xref ref-type="author-notes" rid="fn001">
<sup>*</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1739525"/>
</contrib>
</contrib-group>
<aff id="aff1">
<sup>1</sup>
<institution>Frontiers Science Center for Deep Ocean Multispheres and Earth System and Key Laboratory of Marine Chemistry Theory and Technology, Ministry of Education, Ocean University of China</institution>, <addr-line>Qingdao</addr-line>, <country>China</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>College of Chemistry and Chemical Engineering, Ocean University of China</institution>, <addr-line>Qingdao</addr-line>, <country>China</country>
</aff>
<aff id="aff3">
<sup>3</sup>
<institution>School of Oceanography, Shanghai Jiao Tong University</institution>, <addr-line>Shanghai</addr-line>, <country>China</country>
</aff>
<aff id="aff4">
<sup>4</sup>
<institution>National Marine Hazard Mitigation Service</institution>, <addr-line>Beijing</addr-line>, <country>China</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>Edited by: Jianfang Chen, Ministry of Natural Resources, China</p>
</fn>
<fn fn-type="edited-by">
<p>Reviewed by: Kyung-Hoon Shin, Hanyang University, South Korea; Hideki Fukuda, The University of Tokyo, Japan</p>
</fn>
<fn fn-type="corresp" id="fn001">
<p>*Correspondence: Yu Xin, <email xlink:href="mailto:xinyu312@ouc.edu.cn">xinyu312@ouc.edu.cn</email>; Xiaoyong Shi, <email xlink:href="mailto:shixy@ouc.edu.cn">shixy@ouc.edu.cn</email>
</p>
</fn>
<fn fn-type="other" id="fn002">
<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>10</day>
<month>05</month>
<year>2022</year>
</pub-date>
<pub-date pub-type="collection">
<year>2022</year>
</pub-date>
<volume>9</volume>
<elocation-id>855479</elocation-id>
<history>
<date date-type="received">
<day>15</day>
<month>01</month>
<year>2022</year>
</date>
<date date-type="accepted">
<day>11</day>
<month>04</month>
<year>2022</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2022 Zhong, Yan, Xu, Yan, Xu, Dong, Xin and Shi</copyright-statement>
<copyright-year>2022</copyright-year>
<copyright-holder>Zhong, Yan, Xu, Yan, Xu, Dong, Xin and Shi</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>Dissolved organic nitrogen (DON) is an important component of the marine nitrogen (N) inventory and plays an essential role in N cycling in global estuaries and marginal seas. Understanding DON cycling is important but challenging. Global estuaries and marginal seas are experiencing significant anthropogenic impacts and have intensive physical/biochemical gradients. Therefore, high-quality DON concentration and N-isotope (&#x3b4;<sup>15</sup>N&#x2013;DON) data are very difficult to obtain. To enrich this knowledge, we take the Changjiang Estuary and the adjacent East China Sea shelf seas as a representative example and analyzed multiple isotopes and the concentrations of nitrate (<inline-formula>
<mml:math display="inline" id="im1">
<mml:mrow>
<mml:mtext>N</mml:mtext>
<mml:msubsup>
<mml:mtext>O</mml:mtext>
<mml:mn>3</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula>), particulate nitrogen (PN), and DON. N isotopes combined with optimum multiparameter analysis proved to be very informative. This integrated analysis discriminates active DON production and consumption from a seemingly conservative distribution pattern of DON. The study area was divided into DON production zones 1 and 2 (P-zone 1 and 2) and DON consumption zones 1 and 2 (C-zone 1 and 2). For P-zone 1, the PN-originated DON elevated the &#x3b4;<sup>15</sup>N&#x2013;DON, while in P-zone 2, the DON excreted by phytoplankton was characterized by low &#x3b4;<sup>15</sup>N and lowered &#x3b4;<sup>15</sup>N&#x2013;DON. DON consumption occurred in the <inline-formula>
<mml:math display="inline" id="im2">
<mml:mrow>
<mml:mtext>N</mml:mtext>
<mml:msubsup>
<mml:mtext>O</mml:mtext>
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<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> depleted surface waters (C-zone 1) as well as the shelf middle and bottom waters (C-zone 2). This study discovers and consolidates the active and dynamical zoning of DON cycling from the estuary to the offshore marginal sea and establishes a useful means that is of valuable reference to DON cycling studies in global estuaries and marginal seas.</p>
</abstract>
<kwd-group>
<kwd>dissolved organic nitrogen</kwd>
<kwd>N-isotopes</kwd>
<kwd>marginal sea</kwd>
<kwd>Changjiang Estuary</kwd>
<kwd>OMP analysis</kwd>
<kwd>nutrient biogeochemistry</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">National Key Research and Development Program of China<named-content content-type="fundref-id">10.13039/501100012166</named-content>
</contract-sponsor>
<contract-sponsor id="cn003">National Natural Science Foundation of China<named-content content-type="fundref-id">10.13039/501100001809</named-content>
</contract-sponsor>
<counts>
<fig-count count="8"/>
<table-count count="1"/>
<equation-count count="7"/>
<ref-count count="68"/>
<page-count count="14"/>
<word-count count="7764"/>
</counts>
</article-meta>
</front>
<body>
<sec id="s1">
<title>1 Introduction</title>
<p>Dissolved organic nitrogen (DON) is often the dominant form of fixed N in global oceans (<xref ref-type="bibr" rid="B2">Berman and Bronk, 2003</xref>; <xref ref-type="bibr" rid="B25">Jani and Toor, 2018</xref>; <xref ref-type="bibr" rid="B32">Lim et&#xa0;al., 2019</xref>). DON has been recognized as a potential N source for primary production, <italic>i</italic>.<italic>e</italic>., bacteria and phytoplankton, in the marine environment (<xref ref-type="bibr" rid="B5">Bronk et&#xa0;al., 2007</xref>; <xref ref-type="bibr" rid="B51">Sipler and Bronk, 2015</xref>). Thus, DON dynamics is one of the key building blocks for a comprehensive understanding of the nutrient biogeochemical cycle. The role of DON in N cycling has been investigated in terms of its production and consumption. Accumulated datasets of DON concentration and its isotope (&#x3b4;<sup>15</sup>N&#x2013;DON) have suggested that DON significantly affects nutrient biogeochemical cycling in most tropical and subtropical surface waters (<xref ref-type="bibr" rid="B31">Letscher et&#xa0;al., 2013</xref>; <xref ref-type="bibr" rid="B27">Knapp et&#xa0;al., 2018</xref>; <xref ref-type="bibr" rid="B65">Zhang et&#xa0;al., 2020</xref>). However, for estuaries and marginal seas, there are a few limited studies on DON bioavailability and its contribution to local N cycling. There are only rare reports on DON cycling based on &#x3b4;<sup>15</sup>N&#x2013;DON, especially where the dissolved inorganic nitrogen (DIN) overwhelms DON in concentration. It becomes particularly challenging to study DON cycling when intensive physical gradients, vigorous biological activities, and significant anthropogenic activities co-exist and join to impact DON cycling in estuaries and marginal seas. What is the major cycling process of DON and how does DON cycling affect the N cycling and nutrient biogeochemistry in estuaries and marginal seas? A substantial amount of terrestrial-derived DON input into estuaries and marginal seas is transported into the open ocean by offshore currents. What is the fate of terrestrial-derived DON from estuaries to marginal seas? The answers to the above-mentioned questions would provide valuable clues to understanding the land&#x2013;ocean interactions under the current global climate conditions. Therefore, we specifically highlight DON biogeochemical cycling in estuaries and marginal seas and present a case study of the Changjiang Estuary and the adjacent East China Sea shelf areas (CEECS).</p>
<p>The Changjiang Estuary is a well-known, large, river-dominated estuary that is affected by one of the most developed areas in China. The conveyed nutrients, marked by various N species, have significantly increased with the industrialization and urbanization in the river basin (<xref ref-type="bibr" rid="B11">Dai et&#xa0;al., 2011</xref>; <xref ref-type="bibr" rid="B33">Liu et&#xa0;al., 2018</xref>; <xref ref-type="bibr" rid="B62">Zhang et&#xa0;al., 2021</xref>). These anthropogenic loadings are driving the CEECS N budget beyond its natural resilience boundaries (<xref ref-type="bibr" rid="B43">Moon et&#xa0;al., 2021</xref>). The excess N could stimulate the growth of phytoplankton and increase the production of phytoplanktonic organic matter, which could further exacerbate local water hypoxia through organic matter degradation and the associated oxygen consumption (<xref ref-type="bibr" rid="B57">Wang et&#xa0;al., 2016</xref>). Thus, N cycling in the CEECS has attracted increasing attention in recent years. Published studies have focused mainly on the N cycling reflected by nitrate (<inline-formula>
<mml:math display="inline" id="im3">
<mml:mrow>
<mml:mtext>N</mml:mtext>
<mml:msubsup>
<mml:mtext>O</mml:mtext>
<mml:mn>3</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula>), particulate nitrogen (PN), and their isotopes (<xref ref-type="bibr" rid="B39">Liu et&#xa0;al., 2009</xref>; <xref ref-type="bibr" rid="B55">Umezawa et&#xa0;al., 2014</xref>; <xref ref-type="bibr" rid="B13">Gao et&#xa0;al., 2020</xref>). Neither the quantity nor the quality of DON concentration and &#x3b4;<sup>15</sup>N&#x2013;DON is adequate to elucidate the DON sources, sinks, and cycling in the CEECS (<xref ref-type="bibr" rid="B63">Zhang et&#xa0;al., 2003</xref>; <xref ref-type="bibr" rid="B64">Zhang et&#xa0;al., 2015</xref>; <xref ref-type="bibr" rid="B38">Liu et&#xa0;al., 2016</xref>; <xref ref-type="bibr" rid="B30">Kwon et&#xa0;al., 2018</xref>). Recent findings suggest that DON appears to be conservative in the CEECS, given its small variances in concentration. Such a DON distribution pattern seems to suggest that physical mixing processes are the major driver rather than biochemical processes (<xref ref-type="bibr" rid="B30">Kwon et&#xa0;al., 2018</xref>; <xref ref-type="bibr" rid="B26">Kim et&#xa0;al., 2020</xref>). Besides this, the high DIN concentration and comparatively low DON concentration in the CEECS create difficulties in acquiring the DON concentration and &#x3b4;<sup>15</sup>N&#x2013;DON (<xref ref-type="bibr" rid="B28">Knapp et&#xa0;al., 2005</xref>). As a result, DON cycling in the CEECS has not been clearly recognized or explained yet.</p>
<p>It is difficult to reveal DON cycling in the complicated surroundings of CEECS only through the DON concentration dataset. The multiple-isotope approach developed in recent years provides a useful means of studying marine N cycling processes in the CEECS&#x2014;for example, in a previous study, we have identified the <inline-formula>
<mml:math display="inline" id="im4">
<mml:mrow>
<mml:mtext>N</mml:mtext>
<mml:msubsup>
<mml:mtext>O</mml:mtext>
<mml:mn>3</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> sources and traced its transformation processes as well for evaluating the relative importance of each process in the CEECS by the compositions of dual isotopes of <inline-formula>
<mml:math display="inline" id="im5">
<mml:mrow>
<mml:mtext>N</mml:mtext>
<mml:msubsup>
<mml:mtext>O</mml:mtext>
<mml:mn>3</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> (<xref ref-type="bibr" rid="B66">Zhong et&#xa0;al., 2020</xref>). The changes in isotopic signals can reflect the transformation processes between different forms of N, <italic>i</italic>.<italic>e</italic>., assimilation, nitrification, and remineralization (<xref ref-type="bibr" rid="B37">Liu et&#xa0;al., 2020</xref>). In this study, we presented the DON concentration and multiple N-isotope datasets (detailed description in <xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary Information Text S1</bold>
</xref>) and described the spatial variation patterns of different forms of N in the CEECS under the joint impacts of physical and biochemical processes. Then, the isotopic fractionation factors of DON production and consumption were estimated. We aim to disentangle the field coupling of DIN, DON, and PN and further clarify the impacts of DIN and PN on the biogeochemical cycling of DON. Finally, a conceptual diagram of DON cycling in the estuary and marginal sea was constructed. This study will serve as a valuable reference for studying DON cycling in global estuaries and shelf marginal seas that are characterized by rigorous physical gradients and biological processes.</p>
</sec>
<sec id="s2" sec-type="materials|methods">
<title>2 Materials and Methods</title>
<sec id="s2_1">
<title>2.1 Sampling</title>
<p>Samples were collected from the CEECS during a cruise abroad the R/V <italic>Science III</italic> from July 10 to 20, 2018 (<xref ref-type="fig" rid="f1">
<bold>Figure&#xa0;1</bold>
</xref>). The temperature, salinity, and depth were measured by CTD (Seabird 911 Plus, USA). Seawater samples were collected in 12-L Niskin bottles attached to the CTD rosette, and the sampling depths were set as the surface (3 to 4 m deep), middle (about 50% depth), and bottom (3&#x2013;5 m above the seabed) layers. Upon retrieval, the dissolved oxygen was analyzed using the Winkler titration method (with a precision of 5 &#xd7; 10<sup>&#x2212;3</sup> mg/L). Samples for nutrients, total dissolved nitrogen (TDN), and stable N (and O for <inline-formula>
<mml:math display="inline" id="im6">
<mml:mrow>
<mml:mtext>N</mml:mtext>
<mml:msubsup>
<mml:mtext>O</mml:mtext>
<mml:mn>3</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula>) isotope analysis were filtered immediately through 0.2-&#x3bc;m polycarbonate filters (<italic>&#x424;</italic> = 47 mm, Millipore, USA) on a Nalgene filter and then were stored in acid&#x2010;cleaned and sample&#x2010;rinsed high&#x2010;density polyethylene bottles (125 ml, Thermo Co., USA). The filters for suspended particulate matter (SPM), particulate organic carbon (POC), particulate nitrogen (PN), and the corresponding &#x3b4;<sup>13</sup>C (relative to V-PDB) and &#x3b4;<sup>15</sup>N (relative to air N<sub>2</sub>) measurements were filtered through pre-combusted (500&#xb0;C for 5 h) and pre-weighed 0.7-&#x3bc;m GF/F filters (<italic>&#x3a6;</italic> = 25 mm, Whatman, UK). After filtration, the filters were dried on board at 45&#xb0;C for 24 h. All the samples were stored at &#x2212;20&#xb0;C until further analysis was carried out in the laboratory.</p>
<fig id="f1" position="float">
<label>Figure&#xa0;1</label>
<caption>
<p>A map of the study areas showing the sampling stations.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-09-855479-g001.tif"/>
</fig>
</sec>
<sec id="s2_2">
<title>2.2 Chemical Analysis</title>
<sec id="s2_2_1">
<title>2.2.1 Dissolved Nutrient Analysis</title>
<p>The concentrations of seawater phosphate, dissolved silicate, nitrate (<inline-formula>
<mml:math display="inline" id="im7">
<mml:mrow>
<mml:mtext>N</mml:mtext>
<mml:msubsup>
<mml:mtext>O</mml:mtext>
<mml:mn>3</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula>), and nitrite (<inline-formula>
<mml:math display="inline" id="im8">
<mml:mrow>
<mml:mtext>N</mml:mtext>
<mml:msubsup>
<mml:mtext>O</mml:mtext>
<mml:mn>2</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula>) were measured using the spectrophotometry method (<xref ref-type="bibr" rid="B19">Hansen and Koroleff, 2007</xref>) on a flow injection analyzer (QuAAtro, Seal Analytical, Germany). The detection limits were 0.04, 0.09, 0.02, and 0.005 &#x3bc;mol/L, respectively. Ammonium (<inline-formula>
<mml:math display="inline" id="im9">
<mml:mrow>
<mml:mtext>N</mml:mtext>
<mml:msubsup>
<mml:mtext>H</mml:mtext>
<mml:mn>4</mml:mn>
<mml:mo>+</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula>) was measured immediately upon the retrieval of water samples following a procedure described by <xref ref-type="bibr" rid="B21">Holmes et&#xa0;al. (1999)</xref>. However, <inline-formula>
<mml:math display="inline" id="im10">
<mml:mrow>
<mml:mtext>N</mml:mtext>
<mml:msubsup>
<mml:mtext>H</mml:mtext>
<mml:mn>4</mml:mn>
<mml:mo>+</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> in about 30% of samples was below the detection limit of the method (&lt;0.006 &#x3bc;mol/L). Given our inability to determine the &#x3b4;<sup>15</sup>N of the low-concentration <inline-formula>
<mml:math display="inline" id="im11">
<mml:mrow>
<mml:mtext>N</mml:mtext>
<mml:msubsup>
<mml:mtext>H</mml:mtext>
<mml:mn>4</mml:mn>
<mml:mo>+</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> in our samples (averaging 0.20 &#xb1; 0.33 &#x3bc;mol/L), we did not subtract the concentration or the &#x3b4;<sup>15</sup>N of <inline-formula>
<mml:math display="inline" id="im12">
<mml:mrow>
<mml:mtext>N</mml:mtext>
<mml:msubsup>
<mml:mtext>H</mml:mtext>
<mml:mn>4</mml:mn>
<mml:mo>+</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> from DON and &#x3b4;<sup>15</sup>N of DON. Thus, the DON concentration here was defined as the difference between TDN and <inline-formula>
<mml:math display="inline" id="im13">
<mml:mrow>
<mml:mtext>N</mml:mtext>
<mml:msubsup>
<mml:mtext>O</mml:mtext>
<mml:mn>3</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
<mml:mo>+</mml:mo>
<mml:mtext>N</mml:mtext>
<mml:msubsup>
<mml:mtext>O</mml:mtext>
<mml:mn>2</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula>. The concentration of <inline-formula>
<mml:math display="inline" id="im14">
<mml:mrow>
<mml:mtext>N</mml:mtext>
<mml:msubsup>
<mml:mtext>O</mml:mtext>
<mml:mn>3</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
<mml:mo>+</mml:mo>
<mml:mtext>N</mml:mtext>
<mml:msubsup>
<mml:mtext>O</mml:mtext>
<mml:mn>2</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> was quantified using the chemiluminescence method (<xref ref-type="bibr" rid="B3">Braman and Hendrix, 1989</xref>) using a <inline-formula>
<mml:math display="inline" id="im15">
<mml:mrow>
<mml:mtext>N</mml:mtext>
<mml:msubsup>
<mml:mtext>O</mml:mtext>
<mml:mi>x</mml:mi>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula>. analyzer (200 EU, Teledyne, USA); the analytical precision is better than &#xb1; 0.1 &#x3bc;mol/L. The TDN was first converted into <inline-formula>
<mml:math display="inline" id="im16">
<mml:mrow>
<mml:mtext>N</mml:mtext>
<mml:msubsup>
<mml:mtext>O</mml:mtext>
<mml:mn>3</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> using the persulfate oxidation method (<xref ref-type="bibr" rid="B19">Hansen and Koroleff, 2007</xref>). Briefly, 1 ml of persulfate oxidizing reagent (POR, 1.5 g NaOH + 3 g H<sub>3</sub>BO<sub>3</sub> + 5 g K<sub>2</sub>S<sub>2</sub>O<sub>8</sub> in 100 ml low-DON Milli-Q water) was added to 10 ml of seawater sample in a precleaned and precombusted (500&#xb0;C for 5 h) 15-ml quartz tube with a Teflon-lined cap. The screw caps were closed tightly, followed by autoclaving for 30 min. After digestion, the sample was quantified using the chemiluminescence method. The DON concentration was calculated by subtracting the concentrations of <inline-formula>
<mml:math display="inline" id="im17">
<mml:mrow>
<mml:mtext>N</mml:mtext>
<mml:msubsup>
<mml:mtext>O</mml:mtext>
<mml:mn>3</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
<mml:mo>+</mml:mo>
<mml:mtext>N</mml:mtext>
<mml:msubsup>
<mml:mtext>O</mml:mtext>
<mml:mn>2</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> and the N-blank of POR.</p>
</sec>
<sec id="s2_2_2">
<title>2.2.2 Stable Isotope Analysis</title>
<p>The <inline-formula>
<mml:math display="inline" id="im18">
<mml:mrow>
<mml:msup>
<mml:mtext>&#x3b4;</mml:mtext>
<mml:mn>15</mml:mn>
</mml:msup>
<mml:mtext>N</mml:mtext>
<mml:mo>&#x2212;</mml:mo>
<mml:mtext>N</mml:mtext>
<mml:msubsup>
<mml:mtext>O</mml:mtext>
<mml:mn>3</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula>,<inline-formula>
<mml:math display="inline" id="im19">
<mml:mrow>
<mml:msup>
<mml:mtext>&#x3b4;</mml:mtext>
<mml:mn>18</mml:mn>
</mml:msup>
<mml:mtext>O</mml:mtext>
<mml:mo>&#x2212;</mml:mo>
<mml:mtext>N</mml:mtext>
<mml:msubsup>
<mml:mtext>O</mml:mtext>
<mml:mn>3</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
<mml:mo>&#x2009;</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula> and &#x3b4;<sup>15</sup>N-TDN were determined using the denitrifier method (<xref ref-type="bibr" rid="B47">Sigman et&#xa0;al., 2001</xref>; <xref ref-type="bibr" rid="B59">Weigand et&#xa0;al., 2016</xref>) on an isotope ratio mass spectrometer (PreCon-IRMS, IsoPrime, UK) coupled with a nitrous oxide extraction system. Three reference materials, IAEA-NO-3 <inline-formula>
<mml:math display="inline" id="im20">
<mml:mrow>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:msup>
<mml:mtext>&#x3b4;</mml:mtext>
<mml:mn>15</mml:mn>
</mml:msup>
<mml:mtext>N</mml:mtext>
<mml:mo>&#x2212;</mml:mo>
<mml:mtext>N</mml:mtext>
<mml:msubsup>
<mml:mtext>O</mml:mtext>
<mml:mn>3</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
<mml:mo>=</mml:mo>
<mml:mn>4.7</mml:mn>
<mml:mo>%</mml:mo>
<mml:mo>&#x2009;</mml:mo>
<mml:mtext>and</mml:mtext>
<mml:mo>&#x2009;</mml:mo>
<mml:msup>
<mml:mtext>&#x3b4;</mml:mtext>
<mml:mn>18</mml:mn>
</mml:msup>
<mml:mtext>O</mml:mtext>
<mml:mo>&#x2212;</mml:mo>
<mml:mtext>N</mml:mtext>
<mml:msubsup>
<mml:mtext>O</mml:mtext>
<mml:mn>3</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
<mml:mo>=</mml:mo>
<mml:mn>25.8</mml:mn>
<mml:mo>%</mml:mo>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula>, USGS-34<inline-formula>
<mml:math display="inline" id="im21">
<mml:mrow>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:msup>
<mml:mtext>&#x3b4;</mml:mtext>
<mml:mn>15</mml:mn>
</mml:msup>
<mml:mtext>N</mml:mtext>
<mml:mo>&#x2212;</mml:mo>
<mml:mtext>N</mml:mtext>
<mml:msubsup>
<mml:mtext>O</mml:mtext>
<mml:mn>3</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
<mml:mo>=</mml:mo>
<mml:mn>1.8</mml:mn>
<mml:mo>%</mml:mo>
<mml:mo>&#x2009;</mml:mo>
<mml:mtext>and</mml:mtext>
<mml:mo>&#x2009;</mml:mo>
<mml:mo>&#x2009;</mml:mo>
<mml:msup>
<mml:mtext>&#x3b4;</mml:mtext>
<mml:mn>18</mml:mn>
</mml:msup>
<mml:mtext>O</mml:mtext>
<mml:mo>&#x2212;</mml:mo>
<mml:mtext>N</mml:mtext>
<mml:msubsup>
<mml:mtext>O</mml:mtext>
<mml:mn>3</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
<mml:mo>=</mml:mo>
<mml:mn>27.9</mml:mn>
<mml:mo>%</mml:mo>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula>, and USGS-35 <inline-formula>
<mml:math display="inline" id="im22">
<mml:mrow>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:msup>
<mml:mtext>&#x3b4;</mml:mtext>
<mml:mn>15</mml:mn>
</mml:msup>
<mml:mtext>N</mml:mtext>
<mml:mo>&#x2212;</mml:mo>
<mml:mtext>N</mml:mtext>
<mml:msubsup>
<mml:mtext>O</mml:mtext>
<mml:mn>3</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
<mml:mo>=</mml:mo>
<mml:mn>2.7</mml:mn>
<mml:mo>%</mml:mo>
<mml:mo>&#x2009;</mml:mo>
<mml:mtext>and</mml:mtext>
<mml:mo>&#x2009;</mml:mo>
<mml:msup>
<mml:mtext>&#x3b4;</mml:mtext>
<mml:mn>18</mml:mn>
</mml:msup>
<mml:mtext>O</mml:mtext>
<mml:mo>&#x2212;</mml:mo>
<mml:mtext>N</mml:mtext>
<mml:msubsup>
<mml:mtext>O</mml:mtext>
<mml:mn>3</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
<mml:mo>=</mml:mo>
<mml:mn>57.7</mml:mn>
<mml:mo>%</mml:mo>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula>, were used for calibration. For data quality assurance, an internal standard of hadal water from the Mariana Trench (8,000 m in depth, <inline-formula>
<mml:math display="inline" id="im23">
<mml:mrow>
<mml:msup>
<mml:mtext>&#x3b4;</mml:mtext>
<mml:mn>15</mml:mn>
</mml:msup>
<mml:mtext>N</mml:mtext>
<mml:mo>&#x2212;</mml:mo>
<mml:mtext>N</mml:mtext>
<mml:msubsup>
<mml:mtext>O</mml:mtext>
<mml:mn>3</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
<mml:mo>=</mml:mo>
<mml:mn>5.0</mml:mn>
<mml:mo>&#xb1;</mml:mo>
<mml:mn>0.2</mml:mn>
<mml:mo>%</mml:mo>
<mml:mo>&#x2009;</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula>, and <inline-formula>
<mml:math display="inline" id="im24">
<mml:mrow>
<mml:msup>
<mml:mtext>&#x3b4;</mml:mtext>
<mml:mn>18</mml:mn>
</mml:msup>
<mml:mtext>O</mml:mtext>
<mml:mo>&#x2212;</mml:mo>
<mml:mtext>N</mml:mtext>
<mml:msubsup>
<mml:mtext>O</mml:mtext>
<mml:mn>3</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
<mml:mo>=</mml:mo>
<mml:mn>2.0</mml:mn>
<mml:mo>&#xb1;</mml:mo>
<mml:mn>0.2</mml:mn>
<mml:mo>%</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula> was analyzed with each batch of samples. Replicate measurements were performed. The analytical precision was &#xb1; 0.2&#x2030; or better for &#x3b4;<sup>15</sup>N and &#xb1; 0.5&#x2030; or better for &#x3b4;<sup>18</sup>O. Since both <inline-formula>
<mml:math display="inline" id="im25">
<mml:mrow>
<mml:mtext>N</mml:mtext>
<mml:msubsup>
<mml:mtext>O</mml:mtext>
<mml:mn>3</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula>
<mml:math display="inline" id="im26">
<mml:mrow>
<mml:mtext>N</mml:mtext>
<mml:msubsup>
<mml:mtext>O</mml:mtext>
<mml:mn>2</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> were reduced to N<sub>2</sub>O by the &#x201c;denitrifier method,&#x201d; we analyzed the samples for <inline-formula>
<mml:math display="inline" id="im27">
<mml:mrow>
<mml:msup>
<mml:mtext>&#x3b4;</mml:mtext>
<mml:mn>15</mml:mn>
</mml:msup>
<mml:mtext>N</mml:mtext>
<mml:mo>&#x2212;</mml:mo>
<mml:mtext>N</mml:mtext>
<mml:msubsup>
<mml:mtext>O</mml:mtext>
<mml:mn>3</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula>
<mml:math display="inline" id="im28">
<mml:mrow>
<mml:msup>
<mml:mtext>&#x3b4;</mml:mtext>
<mml:mn>18</mml:mn>
</mml:msup>
<mml:mtext>O</mml:mtext>
<mml:mo>&#x2212;</mml:mo>
<mml:mtext>N</mml:mtext>
<mml:msubsup>
<mml:mtext>O</mml:mtext>
<mml:mn>3</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> by using sulfamic acid to remove <inline-formula>
<mml:math display="inline" id="im29">
<mml:mrow>
<mml:mtext>N</mml:mtext>
<mml:msubsup>
<mml:mtext>O</mml:mtext>
<mml:mn>2</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> prior to <inline-formula>
<mml:math display="inline" id="im30">
<mml:mrow>
<mml:mtext>N</mml:mtext>
<mml:msubsup>
<mml:mtext>O</mml:mtext>
<mml:mn>3</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> conversion to N<sub>2</sub>O (<xref ref-type="bibr" rid="B16">Granger and Sigman, 2009</xref>). To evaluate the oxidation efficiency and quantify the isotope deviation caused by the POR-associated N blank, the reference material IAEA-600 (&#x3b4;<sup>15</sup>N = 1.0&#x2030;) and the POR were autoclaved and measured with each batch of &#x3b4;<sup>15</sup>N-TDN samples. The &#x3b4;<sup>15</sup>N&#x2013;DON was calculated from the isotopic mass balance equation (Eqs. 1 and 2).</p>
<disp-formula>
<label>(1)</label>
<mml:math display="block" id="M1">
<mml:mrow>
<mml:msup>
<mml:mtext>&#x3b4;</mml:mtext>
<mml:mrow>
<mml:mn>15</mml:mn>
</mml:mrow>
</mml:msup>
<mml:msub>
<mml:mtext>N</mml:mtext>
<mml:mrow>
<mml:mtext>DON</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msup>
<mml:mtext>&#x3b4;</mml:mtext>
<mml:mrow>
<mml:mn>15</mml:mn>
</mml:mrow>
</mml:msup>
<mml:msub>
<mml:mtext>N</mml:mtext>
<mml:mrow>
<mml:mtext>TDN</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mo>&#xd7;</mml:mo>
<mml:mrow>
<mml:mo>[</mml:mo> <mml:mrow>
<mml:mtext>TDN</mml:mtext>
</mml:mrow> <mml:mo>]</mml:mo>
</mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:msup>
<mml:mtext>&#x3b4;</mml:mtext>
<mml:mrow>
<mml:mn>15</mml:mn>
</mml:mrow>
</mml:msup>
<mml:msub>
<mml:mtext>N</mml:mtext>
<mml:mrow>
<mml:msubsup>
<mml:mrow>
<mml:mtext>NO</mml:mtext>
</mml:mrow>
<mml:mn>3</mml:mn>
<mml:mrow>
<mml:mtext>&#xa0;-</mml:mtext>
</mml:mrow>
</mml:msubsup>
<mml:mo>+</mml:mo>
<mml:msubsup>
<mml:mrow>
<mml:mtext>NO</mml:mtext>
</mml:mrow>
<mml:mn>2</mml:mn>
<mml:mrow>
<mml:mtext>&#xa0;-</mml:mtext>
</mml:mrow>
</mml:msubsup>
</mml:mrow>
</mml:msub>
<mml:mo>&#xd7;</mml:mo>
<mml:mrow>
<mml:mo>[</mml:mo> <mml:mrow>
<mml:msubsup>
<mml:mrow>
<mml:mtext>NO</mml:mtext>
</mml:mrow>
<mml:mn>3</mml:mn>
<mml:mrow>
<mml:mtext>&#xa0;-</mml:mtext>
</mml:mrow>
</mml:msubsup>
<mml:mo>+</mml:mo>
<mml:msubsup>
<mml:mrow>
<mml:mtext>NO</mml:mtext>
</mml:mrow>
<mml:mn>2</mml:mn>
<mml:mrow>
<mml:mtext>&#xa0;-</mml:mtext>
</mml:mrow>
</mml:msubsup>
</mml:mrow> <mml:mo>]</mml:mo>
</mml:mrow>
</mml:mrow>
<mml:mrow>
<mml:mrow>
<mml:mo>[</mml:mo> <mml:mrow>
<mml:mtext>DON</mml:mtext>
</mml:mrow> <mml:mo>]</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
</disp-formula>
<p>where the TDN concentration was calculated by subtracting the N-blank concentration of POR.</p>
<disp-formula>
<label>(2)</label>
<mml:math display="block" id="M2">
<mml:mrow>
<mml:msup>
<mml:mtext>&#x3b4;</mml:mtext>
<mml:mrow>
<mml:mn>15</mml:mn>
</mml:mrow>
</mml:msup>
<mml:msub>
<mml:mtext>N</mml:mtext>
<mml:mrow>
<mml:mtext>TDN</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mo>&#xd7;</mml:mo>
<mml:mrow>
<mml:mo>[</mml:mo> <mml:mrow>
<mml:mtext>TDN</mml:mtext>
</mml:mrow> <mml:mo>]</mml:mo>
</mml:mrow>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msup>
<mml:mtext>&#x3b4;</mml:mtext>
<mml:mrow>
<mml:mn>15</mml:mn>
</mml:mrow>
</mml:msup>
<mml:msub>
<mml:mtext>N</mml:mtext>
<mml:mrow>
<mml:mtext>TDN'</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mo>&#xd7;</mml:mo>
<mml:mrow>
<mml:mo>[</mml:mo> <mml:mrow>
<mml:mtext>TDN'</mml:mtext>
</mml:mrow> <mml:mo>]</mml:mo>
</mml:mrow>
<mml:mo>&#xd7;</mml:mo>
<mml:mn>11</mml:mn>
<mml:mo>&#x2212;</mml:mo>
<mml:msup>
<mml:mtext>&#x3b4;</mml:mtext>
<mml:mrow>
<mml:mn>15</mml:mn>
</mml:mrow>
</mml:msup>
<mml:msub>
<mml:mtext>N</mml:mtext>
<mml:mrow>
<mml:mtext>POR</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mo>&#xd7;</mml:mo>
<mml:mrow>
<mml:mo>[</mml:mo> <mml:mrow>
<mml:mtext>POR</mml:mtext>
</mml:mrow> <mml:mo>]</mml:mo>
</mml:mrow>
<mml:mo>&#xd7;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mn>10</mml:mn>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
</disp-formula>
</sec>
<sec id="s2_2_3">
<title>2.2.3 SPM Analysis</title>
<p>The SPM was determined as the weight difference between the dried filters and their counterparts before filtration. The C and N content and the corresponding &#x3b4;<sup>13</sup>C (relative to V-PDB) and &#x3b4;<sup>15</sup>N (relative to air N<sub>2</sub>) were measured at the University of California Davis Stable Isotope Facility. The mean standard deviation for reference material replicates was &#xb1; 0.06&#x2030; for &#x3b4;<sup>13</sup>C and &#xb1; 0.08&#x2030; for &#x3b4;<sup>15</sup>N.</p>
</sec>
</sec>
<sec id="s2_3">
<title>2.3 Data Analyses</title>
<sec id="s2_3_1">
<title>2.3.1 Optimum Multiparameter Analysis</title>
<p>Optimum multiparameter (OMP) analysis, described by <xref ref-type="bibr" rid="B54">Tomczak and Large (1989)</xref>, is a water mass inverse model based on linear mixing that is used to find the relative abundances of different source water types (SWT). It finds a solution that best reproduces the observed data and minimizes the residuals in a non-negative least square sense. The OMP was constructed based on two main physically realistic constraints: (i) the study area can be fully represented by the combination of predefined SWT and (ii) the contribution of SWT must be non-negative and add up to 100%. The OMP can be summarized in a matrix form as follows:</p>
<disp-formula>
<label>(3)</label> <mml:math display="block" id="M3">
<mml:mrow>
<mml:mi>G</mml:mi>
<mml:mi>X</mml:mi>
<mml:mo>=</mml:mo>
<mml:mi>d</mml:mi>
<mml:mo>+</mml:mo>
<mml:mi>R</mml:mi>
</mml:mrow>
</mml:math>
</disp-formula>
<p>where <italic>G</italic> is the matrix with the property values of SWT, <italic>X</italic> is the vector of proportional contribution of each SWT to be solved, <italic>d</italic> is the vector of the observed data, and <italic>R</italic> is the residual vector.</p>
<p>For the analysis, two conservative (temperature and salinity) and four semi-conservative (oxygen, phosphate, nitrate, and silicate) properties were used to define SWT (<xref ref-type="bibr" rid="B45">Poole and Tomczak, 1999</xref>; <xref ref-type="bibr" rid="B7">Budillon et&#xa0;al., 2003</xref>; <xref ref-type="bibr" rid="B12">de Carvalho Ferreira and Kerr, 2017</xref>). However, as the water masses evolve, the concentrations of these parameters are modified by biogeochemical processes, such as assimilation, remineralization, and respiration processes in the CEECS. The impact of biogeochemical processes can no longer be disregarded and have to be included in the analysis. The extended OMP analysis was applied to minimize these effects by adding the Redfield ratio item supplied by OMP files (a detailed description is available in <xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary Information Text S2</bold>
</xref>). The SWT parameter values (a detailed description is available in <xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary Information Text S3</bold>
</xref> and <xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary Information Text S4</bold>
</xref>) used are summarized in <xref ref-type="table" rid="T1">
<bold>Table&#xa0;1</bold>
</xref>.</p>
<table-wrap id="T1" position="float">
<label>Table&#xa0;1</label>
<caption>
<p>Source water type (SWT) definitions for the Taiwan Warm Current (TWC), Kuroshio Surface Water (KSW), Changjiang Diluted Water (CDW), Yellow Sea Mixed Water (YSMW), Kuroshio Bottom Branch Current North of Taiwan (KBBCNT), and parameter weights used in the optimum multiparameter analysis for this study.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="top" align="left">SWT<xref ref-type="table-fn" rid="fnT1_1">
<sup>a</sup>
</xref>
</th>
<th valign="top" align="center">Salinity</th>
<th valign="top" align="center">Temperature (&#xb0;C)</th>
<th valign="top" align="center">Dissolved oxygen (&#x3bc;mol/L)</th>
<th valign="top" align="center">Phosphate (&#x3bc;mol/L)</th>
<th valign="top" align="center">Nitrate (&#x3bc;mol/L)</th>
<th valign="top" align="center">Dissolved silicate (&#x3bc;mol/L)</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">TWC</td>
<td valign="top" align="center">33.20 &#xb1; 0.12</td>
<td valign="top" align="center">24.5 &#xb1; 1.8</td>
<td valign="top" align="center">149.6 &#xb1; 2.3</td>
<td valign="top" align="center">0.6 &#xb1; 0.01</td>
<td valign="top" align="center">6.7 &#xb1; 0.8</td>
<td valign="top" align="center">14.2 &#xb1; 1.0</td>
</tr>
<tr>
<td valign="top" align="left">KSW</td>
<td valign="top" align="center">32.60 &#xb1; 0.56</td>
<td valign="top" align="center">27.4 &#xb1; 1.5</td>
<td valign="top" align="center">216.8 &#xb1; 3.7</td>
<td valign="top" align="center">0.1 &#xb1; 0.04</td>
<td valign="top" align="center">0.4 &#xb1; 0.2</td>
<td valign="top" align="center">2.6 &#xb1; 0.1</td>
</tr>
<tr>
<td valign="top" align="left">CDW</td>
<td valign="top" align="center">21.00 &#xb1; 0.12</td>
<td valign="top" align="center">25.0 &#xb1; 1.1</td>
<td valign="top" align="center">185.9 &#xb1; 1.0</td>
<td valign="top" align="center">1.3 &#xb1; 0.01</td>
<td valign="top" align="center">60.4 &#xb1; 0.02</td>
<td valign="top" align="center">56.4 &#xb1; 0.3</td>
</tr>
<tr>
<td valign="top" align="left">YSMW</td>
<td valign="top" align="center">32.20 &#xb1; 0.49</td>
<td valign="top" align="center">23.3 &#xb1; 1.2</td>
<td valign="top" align="center">149.0 &#xb1; 3.1</td>
<td valign="top" align="center">0.2 &#xb1; 0.06</td>
<td valign="top" align="center">8.6 &#xb1; 1.2</td>
<td valign="top" align="center">11.1 &#xb1; 1.5</td>
</tr>
<tr>
<td valign="top" align="left">KBBCNT</td>
<td valign="top" align="center">35.15 &#xb1; 0.06</td>
<td valign="top" align="center">18.0 &#xb1; 1.4</td>
<td valign="top" align="center">168.7 &#xb1; 0.2</td>
<td valign="top" align="center">0.9 &#xb1; 0.08</td>
<td valign="top" align="center">8.8 &#xb1; 1.3</td>
<td valign="top" align="center">13.6 &#xb1; 1.7</td>
</tr>
<tr>
<td valign="top" align="left">Weight</td>
<td valign="top" align="center">15.86</td>
<td valign="top" align="center">15.86</td>
<td valign="top" align="center">0.56</td>
<td valign="top" align="center">1.04</td>
<td valign="top" align="center">1.54</td>
<td valign="top" align="center">1.26</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn id="fnT1_1">
<label>a</label>
<p>Considering that the determined relative contribution of core water masses is to explore the regulation of physical process on the spatial distribution of dissolved organic nitrogen, using the extremum of each water mass is unreasonable. The parameters of SWT were obtained from the end-member of water masses in the study area.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>Sensitivity tests were performed to test the impact of uncertainties on the results. First, we simply changed the weights. The weights were from literature (<xref ref-type="bibr" rid="B12">de Carvalho Ferreira and Kerr, 2017</xref>; <xref ref-type="bibr" rid="B67">Zhou et&#xa0;al., 2018</xref>), experience, OMP files, and calculation (a detailed description is available in <xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary Information Text S2</bold>
</xref>). The best results were obtained by using the calculated weights (<xref ref-type="table" rid="T1">
<bold>Table&#xa0;1</bold>
</xref>), which not only effectively represent the varieties in the formation region but also hold the minor mass balance residuals. All mass balance residuals were lower than 8%, only four residuals were higher than 5%, and 74% of the residuals were lower than 1% (<xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary Figure S2</bold>
</xref>). According to the mass balance residuals, the results of the OMP analysis were reliable (<xref ref-type="bibr" rid="B54">Tomczak and Large, 1989</xref>). Furthermore, we analyzed the same dataset by adding and subtracting the standard deviation based on the observed variability (<xref ref-type="table" rid="T1">
<bold>Table&#xa0;1</bold>
</xref>) from the properties of the SWT (matrix G) to assess the robustness of the solution. Most of the standard deviations of the solutions were &lt;10%. Thus, the uncertainties in the OMP runs were considered acceptable (<xref ref-type="bibr" rid="B14">Gasparin et&#xa0;al., 2014</xref>; <xref ref-type="bibr" rid="B67">Zhou et&#xa0;al., 2018</xref>).</p>
</sec>
<sec id="s2_3_2">
<title>2.3.2 Expected DON Concentration Dominated by Physical Mixing Processes</title>
<p>Based on the relative abundances of different SWT, the expected DON concentration and &#x3b4;<sup>15</sup>N&#x2013;DON affected only by the physical mixing can be calculated as follows:</p>
<disp-formula>
<label>(4)</label>
<mml:math display="block" id="M4">
<mml:mtable columnalign="left">
<mml:mtr>
<mml:mtd>
<mml:msub>
<mml:mrow>
<mml:mo>[</mml:mo> <mml:mrow>
<mml:mtext>DON</mml:mtext>
</mml:mrow> <mml:mo>]</mml:mo>
</mml:mrow>
<mml:mrow>
<mml:mtext>ex</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mo>[</mml:mo> <mml:mrow>
<mml:mtext>DON</mml:mtext>
</mml:mrow> <mml:mo>]</mml:mo>
</mml:mrow>
<mml:mrow>
<mml:mtext>CDW</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mo>&#xd7;</mml:mo>
<mml:msub>
<mml:mtext>X</mml:mtext>
<mml:mrow>
<mml:mtext>CDW</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mo>[</mml:mo> <mml:mrow>
<mml:mtext>DON</mml:mtext>
</mml:mrow> <mml:mo>]</mml:mo>
</mml:mrow>
<mml:mrow>
<mml:mtext>YSMW</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mo>&#xd7;</mml:mo>
<mml:msub>
<mml:mtext>X</mml:mtext>
<mml:mrow>
<mml:mtext>YSMW</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mo>[</mml:mo> <mml:mrow>
<mml:mtext>DON</mml:mtext>
</mml:mrow> <mml:mo>]</mml:mo>
</mml:mrow>
<mml:mrow>
<mml:mtext>TWC</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mo>&#xd7;</mml:mo>
<mml:msub>
<mml:mtext>X</mml:mtext>
<mml:mrow>
<mml:mtext>TWC</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mo>+</mml:mo>
</mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd>
<mml:msub>
<mml:mrow>
<mml:mo>[</mml:mo> <mml:mrow>
<mml:mtext>DON</mml:mtext>
</mml:mrow> <mml:mo>]</mml:mo>
</mml:mrow>
<mml:mrow>
<mml:mi>K</mml:mi>
<mml:mi>S</mml:mi>
<mml:mi>W</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#xd7;</mml:mo>
<mml:msub>
<mml:mtext>X</mml:mtext>
<mml:mrow>
<mml:mtext>KSW</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mo>[</mml:mo> <mml:mrow>
<mml:mtext>DON</mml:mtext>
</mml:mrow> <mml:mo>]</mml:mo>
</mml:mrow>
<mml:mrow>
<mml:mtext>KBBCNT</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mo>&#xd7;</mml:mo>
<mml:msub>
<mml:mtext>X</mml:mtext>
<mml:mrow>
<mml:mtext>KBBCNT</mml:mtext>
</mml:mrow>
</mml:msub>
</mml:mtd>
</mml:mtr>
</mml:mtable>
</mml:math>
</disp-formula>
<disp-formula>
<label>(5)</label>
<mml:math display="block" id="M5">
<mml:mtable columnalign="left">
<mml:mtr>
<mml:mtd>
<mml:msup>
<mml:mtext>&#x3b4;</mml:mtext>
<mml:mrow>
<mml:mn>15</mml:mn>
</mml:mrow>
</mml:msup>
<mml:msub>
<mml:mtext>N</mml:mtext>
<mml:mrow>
<mml:mtext>ex</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mo>&#xd7;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mo>[</mml:mo> <mml:mrow>
<mml:mtext>DON</mml:mtext>
</mml:mrow> <mml:mo>]</mml:mo>
</mml:mrow>
<mml:mrow>
<mml:mtext>ex</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:msup>
<mml:mtext>&#x3b4;</mml:mtext>
<mml:mrow>
<mml:mn>15</mml:mn>
</mml:mrow>
</mml:msup>
<mml:msub>
<mml:mtext>N</mml:mtext>
<mml:mrow>
<mml:mtext>CDW</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mo>&#xd7;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mo>[</mml:mo> <mml:mrow>
<mml:mtext>DON</mml:mtext>
</mml:mrow> <mml:mo>]</mml:mo>
</mml:mrow>
<mml:mrow>
<mml:mtext>CDW</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mo>&#xd7;</mml:mo>
<mml:msub>
<mml:mtext>X</mml:mtext>
<mml:mrow>
<mml:mtext>CDW</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:msup>
<mml:mtext>&#x3b4;</mml:mtext>
<mml:mrow>
<mml:mn>15</mml:mn>
</mml:mrow>
</mml:msup>
<mml:msub>
<mml:mtext>N</mml:mtext>
<mml:mrow>
<mml:mtext>YSMW</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mo>&#xd7;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mo>[</mml:mo> <mml:mrow>
<mml:mtext>DON</mml:mtext>
</mml:mrow> <mml:mo>]</mml:mo>
</mml:mrow>
<mml:mrow>
<mml:mtext>YSMW</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mo>&#xd7;</mml:mo>
</mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd>
<mml:msub>
<mml:mtext>X</mml:mtext>
<mml:mrow>
<mml:mtext>YSMW</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:msup>
<mml:mtext>&#x3b4;</mml:mtext>
<mml:mrow>
<mml:mn>15</mml:mn>
</mml:mrow>
</mml:msup>
<mml:msub>
<mml:mtext>N</mml:mtext>
<mml:mrow>
<mml:mtext>TWC</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mo>&#xd7;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mo>[</mml:mo> <mml:mrow>
<mml:mtext>DON</mml:mtext>
</mml:mrow> <mml:mo>]</mml:mo>
</mml:mrow>
<mml:mrow>
<mml:mtext>TWC</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mo>&#xd7;</mml:mo>
<mml:msub>
<mml:mtext>X</mml:mtext>
<mml:mrow>
<mml:mtext>TWC</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:msup>
<mml:mtext>&#x3b4;</mml:mtext>
<mml:mrow>
<mml:mn>15</mml:mn>
</mml:mrow>
</mml:msup>
<mml:msub>
<mml:mtext>N</mml:mtext>
<mml:mrow>
<mml:mtext>KSW</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mo>&#xd7;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mo>[</mml:mo> <mml:mrow>
<mml:mtext>DON</mml:mtext>
</mml:mrow> <mml:mo>]</mml:mo>
</mml:mrow>
<mml:mrow>
<mml:mtext>KSW</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mo>&#xd7;</mml:mo>
<mml:msub>
<mml:mtext>X</mml:mtext>
<mml:mrow>
<mml:mtext>KSW</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mo>+</mml:mo>
</mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd>
<mml:msup>
<mml:mtext>&#x3b4;</mml:mtext>
<mml:mrow>
<mml:mn>15</mml:mn>
</mml:mrow>
</mml:msup>
<mml:msub>
<mml:mtext>N</mml:mtext>
<mml:mrow>
<mml:mtext>KBBCNT</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mo>&#xd7;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mo>[</mml:mo> <mml:mrow>
<mml:mtext>DON</mml:mtext>
</mml:mrow> <mml:mo>]</mml:mo>
</mml:mrow>
<mml:mrow>
<mml:mtext>KBBCNT</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mo>&#xd7;</mml:mo>
<mml:msub>
<mml:mtext>X</mml:mtext>
<mml:mrow>
<mml:mtext>KBBCNT</mml:mtext>
</mml:mrow>
</mml:msub>
</mml:mtd>
</mml:mtr>
</mml:mtable>
</mml:math>
</disp-formula>
<p>We further calculated the deviation of observed values from calculated values. The deviation is defined in terms of <italic>Error-DON.</italic>
</p>
</sec>
<sec id="s2_3_3">
<title>2.3.3 Steady-State Model</title>
<p>The steady-state model is frequently used to interpret the N isotope data from the ocean (<xref ref-type="bibr" rid="B49">Sigman et&#xa0;al., 2009</xref>).</p>
<p>For the reactant N pool:</p>
<disp-formula>
<label>(6)</label> <mml:math display="block" id="M6">
<mml:mrow>
<mml:msup>
<mml:mtext>&#x3b4;</mml:mtext>
<mml:mrow>
<mml:mn>15</mml:mn>
</mml:mrow>
</mml:msup>
<mml:msub>
<mml:mtext>N</mml:mtext>
<mml:mrow>
<mml:mtext>reactant</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:msup>
<mml:mtext>&#x3b4;</mml:mtext>
<mml:mrow>
<mml:mn>15</mml:mn>
</mml:mrow>
</mml:msup>
<mml:msub>
<mml:mtext>N</mml:mtext>
<mml:mrow>
<mml:mtext>initial</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:mmultiscripts>
<mml:mi>&#x3f5;</mml:mi>
<mml:mprescripts/>
<mml:none/>
<mml:mn>15</mml:mn>
</mml:mmultiscripts>
<mml:mo>&#xd7;</mml:mo>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>f</mml:mi>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow> </mml:math>
</disp-formula>
<p>For the product N pool:</p>
<disp-formula>
<label>(7)</label> <mml:math display="block" id="M7">
<mml:mrow>
<mml:msup>
<mml:mtext>&#x3b4;</mml:mtext>
<mml:mrow>
<mml:mn>15</mml:mn>
</mml:mrow>
</mml:msup>
<mml:msub>
<mml:mtext>N</mml:mtext>
<mml:mrow>
<mml:mtext>product</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:msup>
<mml:mtext>&#x3b4;</mml:mtext>
<mml:mrow>
<mml:mn>15</mml:mn>
</mml:mrow>
</mml:msup>
<mml:msub>
<mml:mtext>N</mml:mtext>
<mml:mrow>
<mml:mtext>initial</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:mmultiscripts>
<mml:mi>&#x3f5;</mml:mi>
<mml:mprescripts/>
<mml:none/>
<mml:mn>15</mml:mn>
</mml:mmultiscripts>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>f</mml:mi>
</mml:mrow> </mml:math>
</disp-formula>
<p>where <italic>f</italic> is the fraction of the reactant remaining.</p>
</sec>
</sec>
</sec>
<sec id="s3">
<title>3 Results</title>
<sec id="s3_1">
<title>3.1 Hydrographic Characteristics</title>
<p>The distributions of temperature and salinity are shown in <xref ref-type="fig" rid="f2">
<bold>Figure&#xa0;2</bold>
</xref>. The seawater temperature, ranging from 18.3 to 28.8&#xb0;C with an average of 23.3 &#xb1; 2.9&#xb0;C for the entire water column, showed significant variations from surface to bottom. The salinity varied from 20.7 to 34.6, with an average of 32.1 &#xb1; 2.9, showing an increasing trend from surface to bottom. In general, the distributions of seawater temperature and salinity demonstrated that the areas of coastal low-salinity water (&lt;31) became much larger at the surface than in the bottom layer and that cold and salty seawater (&gt;34) moved northward on the East China Sea shelf areas at the bottom. A cold and salty belt (&gt;34) along the south study area was observed in the middle layer, indicating an upwelling of the northward-moving subsurface waters (<xref ref-type="fig" rid="f2">
<bold>Figures&#xa0;2B, E</bold>
</xref>). Based on this investigation and previous studies (<xref ref-type="bibr" rid="B41">Mao, 1964</xref>; <xref ref-type="bibr" rid="B52">Su and Weng, 1994</xref>; <xref ref-type="bibr" rid="B9">Chen, 2009</xref>; <xref ref-type="bibr" rid="B61">Yang et&#xa0;al., 2011</xref>), five major water masses were identified in the CEECS (<xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary Figure S1</bold>
</xref>): (i) the high-temperature (23&#x2013;29&#xb0;C) and high-salinity (33.2&#x2013;34.2) Taiwan Warm Current (TWC), (ii) the low-temperature (18&#x2013;21&#xb0;C) and salty (&gt;34.3) Kuroshio Bottom Branch Current North of Taiwan (KBBCNT), (iii) the high-temperature (23&#x2013;29&#xb0;C) and high-salinity (<italic>S &gt;</italic>34.2) but nutrient-depleted Kuroshio Surface Water (KSW), (iv) the relatively low-temperature (&lt;23&#xb0;C) Yellow Sea Mixed Water (YSMW), and (v) the low-salinity (&lt;31) Changjiang Diluted Water (CDW) in coastal areas. Shelf Mixed Water (SMW) was recognized in the study area during the cruise period. To specify the expansion form of CDW, the isohaline of 26 (<xref ref-type="bibr" rid="B23">Hou et&#xa0;al., 2021</xref>) was defined as the core area of CDW, and the isohaline of 31 was defined as the boundary of CDW.</p>
<fig id="f2" position="float">
<label>Figure&#xa0;2</label>
<caption>
<p>Horizontal temperature <bold>(A&#x2013;C)</bold> and salinity <bold>(D&#x2013;F)</bold> distributions for surface, middle, and bottom water in the study area.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-09-855479-g002.tif"/>
</fig>
</sec>
<sec id="s3_2">
<title>3.2 <inline-formula>
<mml:math display="inline" id="im31">
<mml:mrow>
<mml:mtext>N</mml:mtext>
<mml:msubsup>
<mml:mtext>O</mml:mtext>
<mml:mn>3</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> Concentration, <inline-formula>
<mml:math display="inline" id="im32">
<mml:mrow>
<mml:msup>
<mml:mtext>&#x3b4;</mml:mtext>
<mml:mn>15</mml:mn>
</mml:msup>
<mml:mtext>N</mml:mtext>
<mml:mo>&#x2212;</mml:mo>
<mml:mtext>N</mml:mtext>
<mml:msubsup>
<mml:mtext>O</mml:mtext>
<mml:mn>3</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula>, and <inline-formula>
<mml:math display="inline" id="im33">
<mml:mrow>
<mml:msup>
<mml:mtext>&#x3b4;</mml:mtext>
<mml:mn>18</mml:mn>
</mml:msup>
<mml:mtext>O</mml:mtext>
<mml:mo>&#x2212;</mml:mo>
<mml:mtext>N</mml:mtext>
<mml:msubsup>
<mml:mtext>O</mml:mtext>
<mml:mn>3</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula>
</title>
<p>In the core area of CDW, the <inline-formula>
<mml:math display="inline" id="im34">
<mml:mrow>
<mml:mtext>N</mml:mtext>
<mml:msubsup>
<mml:mtext>O</mml:mtext>
<mml:mn>3</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> was rich (16.4&#x2013;63.8 &#x3bc;mol/L) and relatively uniform in vertical distribution (<xref ref-type="fig" rid="f1">
<bold>Figures 3A&#x2013;C</bold>
</xref>). Both <inline-formula>
<mml:math display="inline" id="im35">
<mml:mrow>
<mml:msup>
<mml:mtext>&#x3b4;</mml:mtext>
<mml:mn>15</mml:mn>
</mml:msup>
<mml:mtext>N</mml:mtext>
<mml:mo>&#x2212;</mml:mo>
<mml:mtext>N</mml:mtext>
<mml:msubsup>
<mml:mtext>O</mml:mtext>
<mml:mn>3</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
<mml:mo>&#x2009;</mml:mo>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mn>5.7</mml:mn>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>7.4</mml:mn>
<mml:mo>%</mml:mo>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula>
<mml:math display="inline" id="im36">
<mml:mrow>
<mml:msup>
<mml:mtext>&#x3b4;</mml:mtext>
<mml:mn>18</mml:mn>
</mml:msup>
<mml:mtext>O</mml:mtext>
<mml:mo>&#x2212;</mml:mo>
<mml:mtext>N</mml:mtext>
<mml:msubsup>
<mml:mtext>O</mml:mtext>
<mml:mn>3</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mn>1.0</mml:mn>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>2.9</mml:mn>
<mml:mo>%</mml:mo>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula> were relatively light (<xref ref-type="fig" rid="f1">
<bold>Figures 3D&#x2013;I</bold>
</xref>). In the flow direction of CDW, the <inline-formula>
<mml:math display="inline" id="im37">
<mml:mrow>
<mml:mtext>N</mml:mtext>
<mml:msubsup>
<mml:mtext>O</mml:mtext>
<mml:mn>3</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> concentration decreased rapidly and became heavier in <inline-formula>
<mml:math display="inline" id="im38">
<mml:mrow>
<mml:msup>
<mml:mtext>&#x3b4;</mml:mtext>
<mml:mn>15</mml:mn>
</mml:msup>
<mml:mtext>N</mml:mtext>
<mml:mo>&#x2212;</mml:mo>
<mml:mtext>N</mml:mtext>
<mml:msubsup>
<mml:mtext>O</mml:mtext>
<mml:mn>3</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
<mml:mo>&#x2009;</mml:mo>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mn>7.6</mml:mn>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>19.7</mml:mn>
<mml:mo>%</mml:mo>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula>
<mml:math display="inline" id="im39">
<mml:mrow>
<mml:msup>
<mml:mtext>&#x3b4;</mml:mtext>
<mml:mn>18</mml:mn>
</mml:msup>
<mml:mtext>O</mml:mtext>
<mml:mo>&#x2212;</mml:mo>
<mml:mtext>N</mml:mtext>
<mml:msubsup>
<mml:mtext>O</mml:mtext>
<mml:mn>3</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mn>13.3</mml:mn>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>16.8</mml:mn>
<mml:mo>%</mml:mo>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula>. Along with the offshore increase of salinity &gt;31, the <inline-formula>
<mml:math display="inline" id="im40">
<mml:mrow>
<mml:mtext>N</mml:mtext>
<mml:msubsup>
<mml:mtext>O</mml:mtext>
<mml:mn>3</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> concentration was comparatively lower in the surface layer than in the bottom layer and decreased to exhausted in surface water (<xref ref-type="fig" rid="f3">
<bold>Figure&#xa0;3A</bold>
</xref>). Thus, no credible <inline-formula>
<mml:math display="inline" id="im41">
<mml:mrow>
<mml:msup>
<mml:mtext>&#x3b4;</mml:mtext>
<mml:mn>15</mml:mn>
</mml:msup>
<mml:mtext>N</mml:mtext>
<mml:mo>&#x2212;</mml:mo>
<mml:mtext>N</mml:mtext>
<mml:msubsup>
<mml:mtext>O</mml:mtext>
<mml:mn>3</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
<mml:mo/>
<mml:mtext>and</mml:mtext>
<mml:mo/>
<mml:msup>
<mml:mtext>&#x3b4;</mml:mtext>
<mml:mn>18</mml:mn>
</mml:msup>
<mml:mtext>O</mml:mtext>
<mml:mo>&#x2212;</mml:mo>
<mml:mtext>N</mml:mtext>
<mml:msubsup>
<mml:mtext>O</mml:mtext>
<mml:mn>3</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula>, data were obtained. In the bottom layer, the KBBCNT had relatively homogeneous <inline-formula>
<mml:math display="inline" id="im42">
<mml:mrow>
<mml:msup>
<mml:mtext>&#x3b4;</mml:mtext>
<mml:mn>15</mml:mn>
</mml:msup>
<mml:mtext>N</mml:mtext>
<mml:mo>&#x2212;</mml:mo>
<mml:mtext>N</mml:mtext>
<mml:msubsup>
<mml:mtext>O</mml:mtext>
<mml:mn>3</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
<mml:mo/>
<mml:mtext>and</mml:mtext>
<mml:mo/>
<mml:msup>
<mml:mtext>&#x3b4;</mml:mtext>
<mml:mn>18</mml:mn>
</mml:msup>
<mml:mtext>O</mml:mtext>
<mml:mo>&#x2212;</mml:mo>
<mml:mtext>N</mml:mtext>
<mml:msubsup>
<mml:mtext>O</mml:mtext>
<mml:mn>3</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> values of 5.5 &#xb1; 0.44 and 2.5 &#xb1; 0.29&#x2030;, respectively (<xref ref-type="fig" rid="f3">
<bold>Figures&#xa0;3F, I</bold>
</xref>).</p>
<fig id="f3" position="float">
<label>Figure&#xa0;3</label>
<caption>
<p>Horizontal <inline-formula>
<mml:math display="inline" id="im43">
<mml:mrow>
<mml:mtext>N</mml:mtext>
<mml:msubsup>
<mml:mtext>O</mml:mtext>
<mml:mn>3</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> <bold>(A&#x2013;C)</bold>, <inline-formula>
<mml:math display="inline" id="im44">
<mml:mrow>
<mml:msup>
<mml:mtext>&#x3b4;</mml:mtext>
<mml:mn>15</mml:mn>
</mml:msup>
<mml:mtext>N</mml:mtext>
<mml:mo>&#x2212;</mml:mo>
<mml:mtext>N</mml:mtext>
<mml:msubsup>
<mml:mtext>O</mml:mtext>
<mml:mn>3</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
<mml:mo/>
</mml:mrow>
</mml:math>
</inline-formula>
<bold>(D&#x2013;F)</bold>, and <inline-formula>
<mml:math display="inline" id="im45">
<mml:mrow>
<mml:msup>
<mml:mtext>&#x3b4;</mml:mtext>
<mml:mn>18</mml:mn>
</mml:msup>
<mml:mtext>N</mml:mtext>
<mml:mo>&#x2212;</mml:mo>
<mml:mtext>N</mml:mtext>
<mml:msubsup>
<mml:mtext>O</mml:mtext>
<mml:mn>3</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
<mml:mo/>
</mml:mrow>
</mml:math>
</inline-formula>
<bold>(G&#x2013;I)</bold> distributions at the surface, middle, and bottom water in the study area.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-09-855479-g003.tif"/>
</fig>
</sec>
<sec id="s3_3">
<title>3.3 DON Concentration and &#x3b4;<sup>15</sup>N&#x2013;DON</title>
<p>In the study area, <inline-formula>
<mml:math display="inline" id="im46">
<mml:mrow>
<mml:mtext>N</mml:mtext>
<mml:msubsup>
<mml:mtext>O</mml:mtext>
<mml:mn>3</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> accounted for 52 &#xb1; 27% of TDN and DON accounted for 45 &#xb1; 26%. Therefore, DON was equally important as <inline-formula>
<mml:math display="inline" id="im47">
<mml:mrow>
<mml:mtext>N</mml:mtext>
<mml:msubsup>
<mml:mtext>O</mml:mtext>
<mml:mn>3</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> in local N cycling. The DON concentration ranged from 3.6 to 9.2 &#x3bc;mol/L in the study area. It was 6.8 &#xb1; 1.3 &#x3bc;mol/L at the surface, 5.3 &#xb1; 0.86 &#x3bc;mol/L at the middle, and 5.2 &#xb1; 0.91 &#x3bc;mol/L at the bottom (<xref ref-type="fig" rid="f4">
<bold>Figures&#xa0;4A&#x2013;C</bold>
</xref>). The &#x3b4;<sup>15</sup>N&#x2013;DON was varied from &#x2212;1.4 to 7.4&#x2030;, with an average of 3.7 &#xb1; 1.6&#x2030;. Generally, the high DON concentration corresponded to a lower &#x3b4;<sup>15</sup>N&#x2013;DON and <italic>vice versa</italic>.</p>
<fig id="f4" position="float">
<label>Figure&#xa0;4</label>
<caption>
<p>Horizontal dissolved organic nitrogen (DON) <bold>(A&#x2013;C)</bold> and &#x3b4;<sup>15</sup>N&#x2013;DON <bold>(D&#x2013;F)</bold> distributions from the surface, middle, and bottom water in the study area.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-09-855479-g004.tif"/>
</fig>
</sec>
<sec id="s3_4">
<title>3.4 PN Concentration and &#x3b4;<sup>15</sup>N&#x2013;PN</title>
<p>The concentration of PN averaged 7.2 &#xb1; 8.3 &#x3bc;mol/L. In the core area of CDW, the PN concentration exceeded 20 &#x3bc;mol/L but decreased to 5 &#x3bc;mol/L at ~50 m isobath. In the offshore stations, the PN concentration was low and decreased toward the southeast with a small gradient (<xref ref-type="fig" rid="f5">
<bold>Figures&#xa0;5A&#x2013;C</bold>
</xref>). In general, the &#x3b4;<sup>15</sup>N&#x2013;PN increased from coastal areas to offshore (<xref ref-type="fig" rid="f5">
<bold>Figures&#xa0;5D&#x2013;F</bold>
</xref>). The &#x3b4;<sup>15</sup>N&#x2013;PN in the surface layer had a comparatively broader range (&#x2212;0.99 to 7.6&#x2030;, 4.0 &#xb1; 2.2&#x2030;) than in the middle (0.1 to 5.9&#x2030;, 3.9 &#xb1; 1.4&#x2030;) and bottom layers (0.39 to 6.1&#x2030;, 3.0 &#xb1; 1.3 &#x2030;).</p>
<fig id="f5" position="float">
<label>Figure&#xa0;5</label>
<caption>
<p>Horizontal particulate nitrogen (PN) <bold>(A&#x2013;C)</bold> and &#x3b4;<sup>15</sup>N&#x2013;PN <bold>(D&#x2013;F)</bold> distributions from the surface, middle, and bottom water in the study area.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-09-855479-g005.tif"/>
</fig>
</sec>
</sec>
<sec id="s4">
<title>4 Discussion</title>
<sec id="s4_1">
<title>4.1 Influences of Water Masses Mixing on DON Spatial Distribution</title>
<sec id="s4_1_1">
<title>4.1.1 Water Masses Mixing in the CEECS</title>
<p>The OMP analysis was used to determine the relative contribution of the core water masses in the CEECS (<xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary Figure S3</bold>
</xref>). CDW flowed in the east, southeast, and especially northeast directions in the surface layer, which is consistent with previous studies (<xref ref-type="bibr" rid="B35">Liu et&#xa0;al., 2021</xref>). In the surface water of the northern study area (transect A1&#x2013;A4), there is a weak bidirectional northwestward extrusion of CDW over Subei Shoal. From there, the contribution of CDW gradually decreases with increasing distance from the coastal area. YSMW and KSW are present as high contributions in the northern nearshore area and offshore area, respectively. In the southern study area, KSW contributes more than 50% of the total water in the entire surface layer. The remaining contribution comes mainly from TWC and CDW in the nearshore area. The bottom water in the study region is a mixture of TWC, KBBCNT, and YSMW. KBBCNT contributes the most. YSMW is confined to the northern part of the study area.</p>
</sec>
<sec id="s4_1_2">
<title>4.1.2 Zoning of DON Turnover</title>
<p>The difference between measured values and calculated values (Eq. 4) based on OMP results was defined as <italic>Error-DON</italic>. When the measured values are equal to the calculated values, it means that the physical mixing of the water masses is the dominant factor controlling the spatial distribution of DON. A positive <italic>Error-DON</italic> corresponds to the net production of DON, and a negative <italic>Error-DON</italic> corresponds to the net consumption. To identify the DON dynamics in different water masses, <italic>Error-DON</italic> versus measured DON was plotted (<xref ref-type="fig" rid="f6">
<bold>Figure&#xa0;6A</bold>
</xref>). We found that both net production and net consumption of DON occurred in every water mass. In the study area, the <italic>Error-DON</italic> averaged 10.7 &#xb1; 8.6% for DON net production and &#x2212;9.0 &#xb1; 7.0% for net consumption. Interestingly, in all the sampling sites (<italic>n</italic> = 138), there were equal numbers of DON net production (<italic>n</italic> = 69) and consumption sites (<italic>n</italic> = 69). This result could explain why there is a misleading impression that DON exhibited a conservative behavior in general over the CEECS (from the river mouth to the offshore area up to 800 km; <xref ref-type="bibr" rid="B30">Kwon et&#xa0;al., 2018</xref>). In actuality, we captured the non-conservative behavior (active biochemical cycling) of DON <italic>via</italic> the OMP analysis.</p>
<fig id="f6" position="float">
<label>Figure&#xa0;6</label>
<caption>
<p>
<bold>(A)</bold> Scatter plots showing the difference (in percentage) between the observed and calculated values of dissolved organic nitrogen (DON) vs. the observed DON concentration. Different colors are used to distinguish stations where Yellow Sea Mixed Water, Changjiang Diluted Water, Taiwan Warm Current, Kuroshio Surface Water, or Kuroshio Bottom Branch Current North of Taiwan dominate by more than 50%. <bold>(B)</bold> The distributions of DON net production (diamond) and consumption (dot) site zones are noted. <bold>(C)</bold> Correlation between &#x3b4;<sup>15</sup>N&#x2013;DON and the fraction of the remaining <inline-formula>
<mml:math display="inline" id="im48">
<mml:mrow>
<mml:mtext>N</mml:mtext>
<mml:msubsup>
<mml:mtext>O</mml:mtext>
<mml:mn>3</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
<mml:mo/>
</mml:mrow>
</mml:math>
</inline-formula>(marked as f).</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-09-855479-g006.tif"/>
</fig>
<p>The positive <italic>Error-DON</italic> values were distributed mainly in the southern coastal areas and northern part of the study area (see the diamonds in <xref ref-type="fig" rid="f6">
<bold>Figure&#xa0;6B</bold>
</xref>). In these DON net production sites, the relationship between &#x3b4;<sup>15</sup>N&#x2013;DON and DON concentration was categorized into two patterns. In the <inline-formula>
<mml:math display="inline" id="im49">
<mml:mrow>
<mml:mtext>N</mml:mtext>
<mml:msubsup>
<mml:mtext>O</mml:mtext>
<mml:mn>3</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> rich euphotic layer (9.1 &#xb1; 9.2 &#x3bc;mol/L, P-zone 1), the DON correlated negatively with &#x3b4;<sup>15</sup>N&#x2013;DON (<italic>R</italic>
<sup>2</sup> = 0.57, <italic>p</italic> &#x2264; 0.001, <italic>n</italic> = 29, <xref ref-type="fig" rid="f7">
<bold>Figure&#xa0;7A</bold>
</xref>), while in the coastal middle and bottom waters where the SPM was high (64.0 &#xb1; 90.1 mg/L, P-zone 2), the DON correlated positively with &#x3b4;<sup>15</sup>N&#x2013;DON (<italic>R</italic>
<sup>2</sup> = 0.29, <italic>p</italic> &#x2264; 0.001, <italic>n</italic> = 37, <xref ref-type="fig" rid="f7">
<bold>Figure&#xa0;7B</bold>
</xref>). The two patterns indicated that there were two different mechanisms of DON production in the two zones. In P-zone 1, the &#x3b4;<sup>15</sup>N of the produced DON decreased the &#x3b4;<sup>15</sup>N&#x2013;DON in the water column. Conversely, the &#x3b4;<sup>15</sup>N of the produced DON elevated the &#x3b4;<sup>15</sup>N&#x2013;DON in the water column in P-zone 2. A detailed explanation is provided in <bold>Section 4.2</bold>.</p>
<fig id="f7" position="float">
<label>Figure&#xa0;7</label>
<caption>
<p>
<bold>(A)</bold> Relationship between &#x3b4;<sup>15</sup>N-dissolved organic nitrogen (DON) and 1-F in C zone 1. <bold>(B)</bold> Relationship between &#x3b4;<sup>15</sup>N-DON and 1-F in C zone 2. The variable &#x201c;F&#x201d; is the fraction of the DON remaining.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-09-855479-g007.tif"/>
</fig>
<p>The negative <italic>Error-DON</italic> values were concentrated mainly in the southern part of the study area and part of the northern bottom layer (see dots in <xref ref-type="fig" rid="f6">
<bold>Figure&#xa0;6B</bold>
</xref>). Based on the distribution of net consumption sites and the apparent oxygen utilization (AOU), we classified the net consumption sites into two zones: (i) C-zone 1, where the AOU values were negative (AOU = &#x2212;0.12 &#xb1; 0.68 mg/L, <italic>n</italic> = 17), and (i) C-zone 2, where the AOU values were positive (AOU = 3.17 &#xb1; 0.69 mg/L, <italic>n</italic> = 36). A negative correlation was observed between the AOU and DON concentration (<italic>R</italic>
<sup>2</sup> = 0.28, <italic>p</italic> = 0.001, <italic>n</italic> = 36, <xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary Figure S5A</bold>
</xref>). With the assistance of multiple N-isotopic signatures, we determined the most plausible turnover processes for DON in each zone.</p>
</sec>
</sec>
<sec id="s4_2">
<title>4.2 Net DON Production in CEECS</title>
<sec id="s4_2_1">
<title>4.2.1 DON Production in <inline-formula>
<mml:math display="inline" id="im50">
<mml:mrow>
<mml:mtext>N</mml:mtext>
<mml:msubsup>
<mml:mtext>O</mml:mtext>
<mml:mn>3</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> Rich P-Zone 1</title>
<p>DON can be released through the autochthonous biological process of extracellular exudate production by phytoplankton (<xref ref-type="bibr" rid="B4">Bronk, 2002</xref>). The surface photosynthetic sources for DON in the Eastern Tropical South Pacific euphotic zone (<xref ref-type="bibr" rid="B27">Knapp et&#xa0;al., 2018</xref>) and the South China Sea surface waters (<xref ref-type="bibr" rid="B65">Zhang et&#xa0;al., 2020</xref>) were suggested through a positive correlation between the DON stock and chlorophyll-<italic>a</italic> at these sites. Unfortunately, we lack chlorophyll-<italic>a</italic> data. However, the <inline-formula>
<mml:math display="inline" id="im51">
<mml:mrow>
<mml:mtext>N</mml:mtext>
<mml:msubsup>
<mml:mtext>O</mml:mtext>
<mml:mn>3</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> dual-isotope variation pattern in P-zone 1 is capable of characterizing the phytoplankton activity. In P-zone 1, the observed <inline-formula>
<mml:math display="inline" id="im52">
<mml:mrow>
<mml:mtext>N</mml:mtext>
<mml:msubsup>
<mml:mtext>O</mml:mtext>
<mml:mn>3</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> concentrations (9.1 &#xb1; 9.2 &#x3bc;mol/L) were lower than the expected values (15.7 &#xb1; 10.7 &#x3bc;mol/L), while both <inline-formula>
<mml:math display="inline" id="im53">
<mml:mrow>
<mml:msup>
<mml:mtext>&#x3b4;</mml:mtext>
<mml:mrow>
<mml:mn>15</mml:mn>
</mml:mrow>
</mml:msup>
<mml:mtext>N</mml:mtext>
<mml:mo>&#x2212;</mml:mo>
<mml:mtext>N</mml:mtext>
<mml:msubsup>
<mml:mtext>O</mml:mtext>
<mml:mn>3</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mn>12.1</mml:mn>
<mml:mo>&#xb1;</mml:mo>
<mml:mn>3.8</mml:mn>
<mml:mo>%</mml:mo>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula>
<mml:math display="inline" id="im54">
<mml:mrow>
<mml:msup>
<mml:mtext>&#x3b4;</mml:mtext>
<mml:mrow>
<mml:mn>18</mml:mn>
</mml:mrow>
</mml:msup>
<mml:mtext>O</mml:mtext>
<mml:mo>&#x2212;</mml:mo>
<mml:mtext>N</mml:mtext>
<mml:msubsup>
<mml:mtext>O</mml:mtext>
<mml:mn>3</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mn>8.9</mml:mn>
<mml:mo>&#xb1;</mml:mo>
<mml:mn>4.1</mml:mn>
<mml:mo>%</mml:mo>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula> were heavier than the expected isotope ratios <inline-formula>
<mml:math display="inline" id="im55">
<mml:mrow>
<mml:msup>
<mml:mtext>&#x3b4;</mml:mtext>
<mml:mrow>
<mml:mn>15</mml:mn>
</mml:mrow>
</mml:msup>
<mml:mtext>N</mml:mtext>
<mml:mo>&#x2212;</mml:mo>
<mml:mtext>N</mml:mtext>
<mml:msubsup>
<mml:mtext>O</mml:mtext>
<mml:mn>3</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
<mml:mo>:</mml:mo>
<mml:mn>6.0</mml:mn>
<mml:mo>&#xb1;</mml:mo>
<mml:mn>0.04</mml:mn>
<mml:mo>%</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula>
<mml:math display="inline" id="im56">
<mml:mrow>
<mml:msup>
<mml:mtext>&#x3b4;</mml:mtext>
<mml:mrow>
<mml:mn>18</mml:mn>
</mml:mrow>
</mml:msup>
<mml:mtext>O</mml:mtext>
<mml:mo>&#x2212;</mml:mo>
<mml:mtext>N</mml:mtext>
<mml:msubsup>
<mml:mtext>O</mml:mtext>
<mml:mn>3</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
<mml:mo>:</mml:mo>
<mml:mn>2.8</mml:mn>
<mml:mo>&#xb1;</mml:mo>
<mml:mn>0.7</mml:mn>
<mml:mo>%</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula> In other words, <inline-formula>
<mml:math display="inline" id="im57">
<mml:mrow>
<mml:mtext>N</mml:mtext>
<mml:msubsup>
<mml:mtext>O</mml:mtext>
<mml:mn>3</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> was partially consumed accompanied by the enrichment of <inline-formula>
<mml:math display="inline" id="im58">
<mml:mrow>
<mml:msup>
<mml:mtext>&#x3b4;</mml:mtext>
<mml:mrow>
<mml:mn>15</mml:mn>
</mml:mrow>
</mml:msup>
<mml:mtext>N</mml:mtext>
<mml:mo>&#x2212;</mml:mo>
<mml:mtext>N</mml:mtext>
<mml:msubsup>
<mml:mtext>O</mml:mtext>
<mml:mn>3</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula>
<mml:math display="inline" id="im59">
<mml:mrow>
<mml:msup>
<mml:mtext>&#x3b4;</mml:mtext>
<mml:mrow>
<mml:mn>18</mml:mn>
</mml:mrow>
</mml:msup>
<mml:mtext>O</mml:mtext>
<mml:mo>&#x2212;</mml:mo>
<mml:mtext>N</mml:mtext>
<mml:msubsup>
<mml:mtext>O</mml:mtext>
<mml:mn>3</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> in P-zone 1. This suggests the dominance of <inline-formula>
<mml:math display="inline" id="im60">
<mml:mrow>
<mml:mtext>N</mml:mtext>
<mml:msubsup>
<mml:mtext>O</mml:mtext>
<mml:mn>3</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> assimilation by phytoplankton (<xref ref-type="bibr" rid="B66">Zhong et&#xa0;al., 2020</xref>). The co-variation of <inline-formula>
<mml:math display="inline" id="im61">
<mml:mrow>
<mml:mtext>N</mml:mtext>
<mml:msubsup>
<mml:mtext>O</mml:mtext>
<mml:mn>3</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> dual isotopes fits a 1:1 line (<italic>R</italic>
<sup>2</sup> = 0.96, <italic>p</italic> &#x2264; 0.001, <italic>n</italic> = 29, <xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary Figure S6A</bold>
</xref>), as also expected for <inline-formula>
<mml:math display="inline" id="im62">
<mml:mrow>
<mml:mtext>N</mml:mtext>
<mml:msubsup>
<mml:mtext>O</mml:mtext>
<mml:mn>3</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> assimilation by phytoplankton (<xref ref-type="bibr" rid="B17">Granger et&#xa0;al., 2004</xref>). A positive correlation between <inline-formula>
<mml:math display="inline" id="im63">
<mml:mrow>
<mml:mtext>N</mml:mtext>
<mml:msubsup>
<mml:mtext>O</mml:mtext>
<mml:mn>3</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> consumption and DON concentration (<italic>R</italic>
<sup>2</sup> = 0.58, <italic>p</italic> &#x2264; 0.001, <italic>n</italic> = 29, <xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary Figure S6B</bold>
</xref>) suggested the net DON production at these sites as well. In <inline-formula>
<mml:math display="inline" id="im64">
<mml:mrow>
<mml:mtext>N</mml:mtext>
<mml:msubsup>
<mml:mtext>O</mml:mtext>
<mml:mn>3</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> rich surface waters like P-zone 1, phytoplankton preferentially consume <sup>14</sup>N relative to <sup>15</sup>N (<xref ref-type="bibr" rid="B48">Sigman and Fripiat, 2019</xref>). The isotope effect for <inline-formula>
<mml:math display="inline" id="im65">
<mml:mrow>
<mml:mtext>N</mml:mtext>
<mml:msubsup>
<mml:mtext>O</mml:mtext>
<mml:mn>3</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> assimilation produces photosynthetic biomass (which, in turn, produces DON) with a relatively low &#x3b4;<sup>15</sup>N (<xref ref-type="bibr" rid="B27">Knapp et&#xa0;al., 2018</xref>). Thus, the phytoplankton-sourced DON may hold a relatively low &#x3b4;<sup>15</sup>N value in P-zone 1.</p>
<p>The isotope effect is a key parameter that associates <inline-formula>
<mml:math display="inline" id="im66">
<mml:mrow>
<mml:mtext>N</mml:mtext>
<mml:msubsup>
<mml:mtext>O</mml:mtext>
<mml:mn>3</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> assimilation to the <sup>15</sup>N/<sup>14</sup>N of <inline-formula>
<mml:math display="inline" id="im67">
<mml:mrow>
<mml:mtext>N</mml:mtext>
<mml:msubsup>
<mml:mtext>O</mml:mtext>
<mml:mn>3</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> and DON. Given the fact that <inline-formula>
<mml:math display="inline" id="im68">
<mml:mrow>
<mml:mtext>N</mml:mtext>
<mml:msubsup>
<mml:mtext>O</mml:mtext>
<mml:mn>3</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> (the reactant) can be continuously replenished by nitrification (<xref ref-type="bibr" rid="B66">Zhong et&#xa0;al., 2020</xref>), a steady-state model (Eq. 7, applied to the product N pool) is more appropriate to estimate the isotope effect (<sup>15</sup>&#x3f5;<sub>phy</sub>) during DON production in P-zone 1. The slope of the linear regression between the &#x3b4;<sup>15</sup>N&#x2013;DON and the fraction of <inline-formula>
<mml:math display="inline" id="im69">
<mml:mrow>
<mml:mtext>N</mml:mtext>
<mml:msubsup>
<mml:mtext>O</mml:mtext>
<mml:mn>3</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> remaining in the water column after <inline-formula>
<mml:math display="inline" id="im70">
<mml:mrow>
<mml:mtext>N</mml:mtext>
<mml:msubsup>
<mml:mtext>O</mml:mtext>
<mml:mn>3</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> assimilation yielded an estimate for <sup>15</sup>&#x3f5;<sub>phy</sub> of 2.6 &#xb1; 0.6&#x2030; (<xref ref-type="fig" rid="f6">
<bold>Figure&#xa0;6C</bold>
</xref>). The &#x3b4;<sup>15</sup>N<sub>initial</sub> (y-intercept) was 3.8 &#xb1; 0.4&#x2030;, which was consistent with the average value (3.8 &#xb1; 1.0&#x2030;) of the expected &#x3b4;<sup>15</sup>N values (theoretical value under physical mixing; Eq. 5) for DON in P-zone 1. This result validated the application of the steady-state model, and the addition of phytoplankton-sourced &#x3b4;<sup>15</sup>N&#x2013;DON decreased the &#x3b4;<sup>15</sup>N&#x2013;DON in the water column.</p>
</sec>
<sec id="s4_2_2">
<title>4.2.2 DON Production in High-SPM P-Zone 2</title>
<p>Approximately 87% of the annual particulate load from Changjiang River is discharged in summer (<xref ref-type="bibr" rid="B68">Zhu et&#xa0;al., 2011</xref>). The P-zone 2 is a high-SPM (64.0 &#xb1; 90.1 mg/L) region. High SPM reduces light penetration in the water column and suppresses the photosynthesis process and primary production (<xref ref-type="bibr" rid="B20">He et&#xa0;al., 2017</xref>). From the perspective of <inline-formula>
<mml:math display="inline" id="im71">
<mml:mrow>
<mml:msup>
<mml:mtext>&#x3b4;</mml:mtext>
<mml:mrow>
<mml:mn>15</mml:mn>
</mml:mrow>
</mml:msup>
<mml:mtext>N</mml:mtext>
<mml:mo>&#x2212;</mml:mo>
<mml:mtext>N</mml:mtext>
<mml:msubsup>
<mml:mtext>O</mml:mtext>
<mml:mn>3</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula>, the <inline-formula>
<mml:math display="inline" id="im72">
<mml:mrow>
<mml:msup>
<mml:mtext>&#x3b4;</mml:mtext>
<mml:mrow>
<mml:mn>15</mml:mn>
</mml:mrow>
</mml:msup>
<mml:mtext>N</mml:mtext>
<mml:mo>&#x2212;</mml:mo>
<mml:mtext>N</mml:mtext>
<mml:msubsup>
<mml:mtext>O</mml:mtext>
<mml:mn>3</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> (average of 6.6 &#xb1; 0.9&#x2030;) exhibited a homogeneous behavior in P-zone 2, suggesting that it was unlikely to be an occurrence of intensive phytoplankton assimilation. Thus, the phytoplankton-sourced autochthonous DON was not the dominating source of DON in P-zone 2, even though nutrients were rich in this area. PN and DON are the two main organic N species in the water column. In CEECS, PN was significantly controlled by SPM transport (<italic>R</italic>
<sup>2</sup> = 0.98, <italic>p</italic> &#x2264; 0.001, <italic>n</italic> = 40, <xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary Figure S7</bold>
</xref>). SPM (PN) transport and estuarine physical mixing are two independent processes (<xref ref-type="bibr" rid="B13">Gao et&#xa0;al., 2020</xref>). More than half of the fine&#x2010;grained particles are temporarily deposited near the estuary in P-zone 2 (<xref ref-type="bibr" rid="B10">Chen et&#xa0;al., 2017</xref>). Thus, there are possibilities that PN and DON pools interacted during transportation in P-zone 2. An inter-transformation between the two most important organic N pools may have occurred (<xref ref-type="bibr" rid="B15">Gebhardt et&#xa0;al., 2005</xref>) and altered the distribution and variation of DON observed in this area.</p>
<p>PN produces DON mainly through cell lysis, exudation, and particle solubilization (<xref ref-type="bibr" rid="B6">Bronk and Steinberg, 2008</xref>). These processes are more likely to occur with the rupture of the C&#x2013;C bond but are much less likely to occur with the rupture of the C&#x2013;N bond. Thus, the process of producing DON from PN would not cause a significant isotope fractionation, and the produced &#x3b4;<sup>15</sup>N&#x2013;DON should be similar to the &#x3b4;<sup>15</sup>N of PN from which DON is derived (<xref ref-type="bibr" rid="B29">Knapp et&#xa0;al., 2011</xref>). The &#x3b4;<sup>15</sup>N&#x2013;PN ranged from 0.7 to 7.1&#x2030;, with an average of 3.2 &#xb1; 1.8 &#x2030;. This was slightly higher than that of &#x3b4;<sup>15</sup>N&#x2013;DON (0.1 to 5.5&#x2030;, average 2.9 &#xb1; 1.6 &#x2030;) in P-zone 2. The mean values of the &#x3b4;<sup>15</sup>N&#x2013;PN and &#x3b4;<sup>15</sup>N-DON in P-zone 2 showed a statistically significant difference (ANOVA, <italic>p</italic> &lt; 0.01). This difference explains why the DON in P-zone 2 correlates positively with &#x3b4;<sup>15</sup>N&#x2013;DON (<italic>R</italic>
<sup>2</sup> = 0.29, <italic>p</italic> &#x2264; 0.001, <italic>n</italic> = 40, <xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary Figure S4B</bold>
</xref>). The addition of PN-sourced DON elevated the &#x3b4;<sup>15</sup>N&#x2013;DON in the water column.</p>
</sec>
</sec>
<sec id="s4_3">
<title>4.3 Net Consumption of DON</title>
<sec id="s4_3_1">
<title>4.3.1 DON Consumption in <inline-formula>
<mml:math display="inline" id="im73">
<mml:mrow>
<mml:mtext>N</mml:mtext>
<mml:msubsup>
<mml:mtext>O</mml:mtext>
<mml:mn>3</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula>Depleted C-Zone 1</title>
<p>DON is known as a potential source of N-nutrient for phytoplankton (<xref ref-type="bibr" rid="B27">Knapp et&#xa0;al., 2018</xref>). <xref ref-type="bibr" rid="B24">Hu et&#xa0;al. (2012)</xref> demonstrated the ability of <italic>Prorocentrum donghaiense</italic>, which frequently occurs in CEECS, to assimilate DON. Moreover, <xref ref-type="bibr" rid="B64">Zhang et&#xa0;al. (2015)</xref> suggested that DON is bioavailable during the diatom to dinoflagellate bloom succession. Thus, in C-zone 1 where <inline-formula>
<mml:math display="inline" id="im74">
<mml:mrow>
<mml:mtext>N</mml:mtext>
<mml:msubsup>
<mml:mtext>O</mml:mtext>
<mml:mn>3</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> is completely consumed, DON may play an important role in fueling phytoplankton growth. The bio-active N released from DON in C-zone 1 likely occurs with isotope fractionation when hydrolysis reactions break common C&#x2013;N bonds (<xref ref-type="bibr" rid="B29">Knapp et&#xa0;al., 2011</xref>). Since DON can be continuously supplied by water mixing in the horizontal direction, a steady-state model (Eq. 6 applied to the reactant N pool) would fit the continuous DON supply and removal. The isotope effect (<sup>15</sup>&#x3f5;<sub>ass-DON</sub>) during DON consumption in C-zone 1 was estimated to be 3.7 &#xb1; 1.2&#x2030; (<xref ref-type="fig" rid="f7">
<bold>Figure&#xa0;7A</bold>
</xref>), which is in accordance with the isotope effect (3&#x2013;10&#x2030;) of the conversion of amide to amine and amine to ammonia (<xref ref-type="bibr" rid="B44">O&#x2032;Leary and Kluetz, 1972</xref>; <xref ref-type="bibr" rid="B40">Macko et&#xa0;al., 1986</xref>; <xref ref-type="bibr" rid="B50">Silfer et&#xa0;al., 1992</xref>). The result was slightly lower than the isotope effect of 4.9 &#xb1; 0.4&#x2030; during DON consumption in the upper layers of South China Sea (<xref ref-type="bibr" rid="B65">Zhang et&#xa0;al., 2020</xref>) and 5.5 &#xb1; 1.2&#x2030; in the upper 50 m of Eastern Tropical South Pacific (<xref ref-type="bibr" rid="B27">Knapp et&#xa0;al., 2018</xref>). This could result from the residence time of DON that determines the extent of DON consumption. Previous studies suggested that the residence time ranged from days to months in C-zone 1 (<xref ref-type="bibr" rid="B18">Gu et&#xa0;al., 2012</xref>; <xref ref-type="bibr" rid="B53">Tan et&#xa0;al., 2018</xref>; <xref ref-type="bibr" rid="B56">Wang et&#xa0;al., 2018</xref>). In other words, DON has a shorter residence time in this area than in the upper layers of South China Sea (&#x223c;3 years; <xref ref-type="bibr" rid="B34">Liu and Gan, 2017</xref>) or the upper ocean of Eastern Tropical South Pacific (months to years; <xref ref-type="bibr" rid="B29">Knapp et&#xa0;al., 2011</xref>). <xref ref-type="bibr" rid="B22">Hopkinson et&#xa0;al. (2002)</xref> showed that the average half-lives of very labile and labile DON are 12 and 113 days, respectively. We infer that the labile DON is not completely consumed due to the short residence time in C-zone 1. Therefore, the isotope fractionation of labile DON consumption in C-zone 1 is weaker than that of refractory DON consumption.</p>
</sec>
<sec id="s4_3_2">
<title>4.3.2 DON Consumption in <inline-formula>
<mml:math display="inline" id="im75">
<mml:mrow>
<mml:mtext>N</mml:mtext>
<mml:msubsup>
<mml:mtext>O</mml:mtext>
<mml:mn>3</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> Regenerated C-Zone 2</title>
<p>In C-zone 2, the enrichment ratio of <sup>18</sup>O and <sup>15</sup>N from the potential <inline-formula>
<mml:math display="inline" id="im76">
<mml:mrow>
<mml:mtext>N</mml:mtext>
<mml:msubsup>
<mml:mtext>O</mml:mtext>
<mml:mn>3</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> sources deviated from the slope of 1.0, spreading over the range from 1.0 to 2.0 (<xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary Figure S8A</bold>
</xref>, <xref ref-type="bibr" rid="B17">Granger et&#xa0;al., 2004</xref>). This suggests that continuous nitrification occurred in this area (<xref ref-type="bibr" rid="B55">Umezawa et&#xa0;al., 2014</xref>; <xref ref-type="bibr" rid="B58">Wang et&#xa0;al., 2016</xref>). The negative correlation between the AOU and DON concentrations (<italic>R</italic>
<sup>2</sup> = 0.28, <italic>p</italic> = 0.001, <italic>n</italic> = 36, <xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary Figure S5A</bold>
</xref>) and the significantly positive correlation between AOU and <inline-formula>
<mml:math display="inline" id="im77">
<mml:mrow>
<mml:mtext>N</mml:mtext>
<mml:msubsup>
<mml:mtext>O</mml:mtext>
<mml:mn>3</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> concentrations (<italic>R</italic>
<sup>2</sup> = 0.64, <italic>p</italic> &lt; 0.001, <italic>n</italic> = 36, <xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary Figure S5B</bold>
</xref>) suggest the aerobic microbial degradation of DON to be associated with <inline-formula>
<mml:math display="inline" id="im78">
<mml:mrow>
<mml:mtext>N</mml:mtext>
<mml:msubsup>
<mml:mtext>O</mml:mtext>
<mml:mn>3</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> regeneration and a coupling between the consumption of DON pools and the production of <inline-formula>
<mml:math display="inline" id="im79">
<mml:mrow>
<mml:mtext>N</mml:mtext>
<mml:msubsup>
<mml:mtext>O</mml:mtext>
<mml:mn>3</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> in C-zone 2. The DON remineralization and nitrification elevate the <italic>NO</italic>
<sub>3</sub>
<sup>&#x2212;</sup> concentration (<xref ref-type="bibr" rid="B37">Liu et&#xa0;al., 2020</xref>).</p>
<p>We use the steady-state model (Eq. 6 applied to the reactant N pool) to estimate the isotope effect during DON consumption. The slope of the linear regression yielded an estimate for <sup>15</sup>&#x3f5;<sub>ntr-DON</sub> of 5.6 &#xb1; 2.6&#x2030; (<xref ref-type="fig" rid="f7">
<bold>Figure&#xa0;7B</bold>
</xref>). The <sup>15</sup>&#x3f5;<sub>ntr-DON</sub> was consistent with the isotope effect of 5.5 &#xb1; 1.2&#x2030; for the DON degradation estimated from data for the upper 50 m of Eastern Tropical South Pacific, where the residence time was many months to years (<xref ref-type="bibr" rid="B27">Knapp et&#xa0;al., 2018</xref>). In C-zone 2, KBBCNT makes the highest contribution (&gt;50%,<xref ref-type="supplementary-material" rid="SM1">
<bold> Supplementary Figure S3</bold>
</xref>). The shelf water exchange with Kuroshio Current is 1&#x2013;2.3 years [summarized in <xref ref-type="bibr" rid="B6">Chen (1996)</xref>], which indicates that DON in C-zone 2 undergoes a longer period of degradation than in C-zone 1. As a result, DON degrades more thoroughly, and the remaining DON is more refractory. The &#x3b4;<sup>15</sup>N<sub>initial</sub> (y-intercept) was 4.2 &#xb1; 0.3&#x2030;, which is slightly lower than the average value (4.7 &#xb1; 0.2&#x2030;) of the expected &#x3b4;<sup>15</sup>N values (theoretical value derived from physical mixing; Eq. 5) for DON in C-zone 2. The 0.5&#x2030; difference may result from DON originating from &#x201c;fresh&#x201d; PN in C-zone 2. The isotope &#x3b4;<sup>13</sup>C is a useful proxy to discriminate the sources of POC. In C-zone 2, &#x3b4;<sup>13</sup>C averaged &#x2212;21.9 &#xb1; 1.1&#x2030;, suggesting that marine phytoplankton was the predominant origin of POC (&#x2212;22 to &#x2212;18&#x2030;; <xref ref-type="bibr" rid="B42">Middelburg and Nieuwenhuize, 1998</xref>). The linear relationship between POC and PN (<italic>R</italic>
<sup>2</sup> = 0.91, <italic>p</italic> &#x2264; 0.001, <italic>n</italic> = 36, <xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary Figure S8B</bold>
</xref>) suggests that PN was strongly associated with POC. The C/N molar ratio between POC and PN was 5.5 &#xb1; 0.3, which is lower than the Redfield ratio of 6.6 (<xref ref-type="bibr" rid="B46">Redfield, 1960</xref>), suggesting that the PN was &#x201c;fresh&#x201d; (<xref ref-type="bibr" rid="B36">Liu et&#xa0;al., 2019</xref>). The solubilization of PN is an important source of DON (<xref ref-type="bibr" rid="B1">Benner and Amon, 2015</xref>). The &#x3b4;<sup>15</sup>N&#x2013;PN ranged from 0.6 to 6.1&#x2030;, with an average of 3.3 &#xb1; 1.6 &#x2030;, which was lighter than that of &#x3b4;<sup>15</sup>N&#x2013;DON (3.0 to 6.7&#x2030;, averaged 4.7 &#xb1; 0.9 &#x2030;) in the C-zone 2. The mean values of &#x3b4;<sup>15</sup>N&#x2013;PN and &#x3b4;<sup>15</sup>N-DON in the C-zone 2 showed a statistically significant difference (ANOVA, <italic>p</italic> &lt; 0.01). As mentioned in <bold>Section 4.2.2</bold>, the &#x3b4;<sup>15</sup>N of DON produced was similar to the &#x3b4;<sup>15</sup>N&#x2013;PN. Thus, the addition of DON from PN would decrease the expected &#x3b4;<sup>15</sup>N&#x2013;DON in C-zone 2. Therefore, we suggested that the expected &#x3b4;<sup>15</sup>N&#x2013;DON had already been substantially modified by DON originating from &#x201c;fresh&#x201d; PN. In this section, we estimated the isotope effect during DON consumption and clarified the confounding coupling of <inline-formula>
<mml:math display="inline" id="im80">
<mml:mrow>
<mml:mtext>N</mml:mtext>
<mml:msubsup>
<mml:mtext>O</mml:mtext>
<mml:mn>3</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula>, DON, and PN in the N cycling in C-zone 2.</p>
</sec>
<sec id="s4_3_3">
<title>4.3.3 Ongoing Challenges at the Remaining Sites</title>
<p>The remaining sites not included in these four zones are concentrated in coastal surface waters (<italic>n</italic> = 17, <xref ref-type="fig" rid="f6">
<bold>Figure&#xa0;6B</bold>
</xref>, gray dots), where the <italic>Error-DON</italic> was relatively low (&#x2212;3.3 &#xb1; 3.5%). Substantial challenges still exist for studying DON cycling in this zone. On the one hand, it is still uncertain whether this deviation is caused by biological processes or uncertainties for calculation. On the other hand, both the <inline-formula>
<mml:math display="inline" id="im81">
<mml:mrow>
<mml:mtext>N</mml:mtext>
<mml:msubsup>
<mml:mtext>O</mml:mtext>
<mml:mn>3</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> and PN concentrations were high in this zone, and the variation caused by DON consumption was relatively small. Understanding of the particularly complex and overlapping interactions between <inline-formula>
<mml:math display="inline" id="im82">
<mml:mrow>
<mml:mtext>N</mml:mtext>
<mml:msubsup>
<mml:mtext>O</mml:mtext>
<mml:mn>3</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula>, PN, and DON remains elusive. Further studies are required to investigate this issue.</p>
</sec>
</sec>
<sec id="s4_4">
<title>4.4 Conceptual View of DON Cycling in the CEECS</title>
<p>DON is a dominant dynamic component in N cycling, significantly contributing to the hypoxia and eutrophication burden in CEECS. The biochemical cycling of DON, such as mineralization and nitrification, is often accompanied by oxygen consumption and <inline-formula>
<mml:math display="inline" id="im83">
<mml:mrow>
<mml:mtext>N</mml:mtext>
<mml:msubsup>
<mml:mtext>O</mml:mtext>
<mml:mn>3</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> regeneration (<xref ref-type="bibr" rid="B37">Liu et&#xa0;al., 2020</xref>). The <inline-formula>
<mml:math display="inline" id="im84">
<mml:mrow>
<mml:mtext>N</mml:mtext>
<mml:msubsup>
<mml:mtext>O</mml:mtext>
<mml:mn>3</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> produced by DON mineralization participates in the next cycle of photosynthesis in Redfield stoichiometry. In this manner, DON mineralization plays an important role in stimulating carbon fixation. Nitrification is often accompanied by the side-production of nitrous oxide, a very powerful greenhouse gas (<xref ref-type="bibr" rid="B60">Yang et&#xa0;al., 2020</xref>). To summarize, DON cycling is closely associated with local nutrient biogeochemistry, primary productivity, and ecosystem health. A clear model of the DON cycling processes in estuaries and marginal seas is urgently needed in current marine science.</p>
<p>We integrated the above-mentioned results to construct the first diagram of DON cycling in the CEECS (<xref ref-type="fig" rid="f8">
<bold>Figure&#xa0;8</bold>
</xref>). The riverine terrestrial-derived DON input into the coastal zone undergoes substantial modifications by shelf-offshore autochthonous biological processes and degradation processes. In the CE coastal areas (P-zone 2), an area of high SPM provides the ideal location for the inter-transformation between DON and PN. The &#x3b4;<sup>15</sup>N&#x2013;PN is higher than &#x3b4;<sup>15</sup>N&#x2013;DON in this area. The DON of the PN source mixes with the local DON inventory and results in an elevation of the &#x3b4;<sup>15</sup>N-DON in the water column. In DON P-zone 1, phytoplankton-originating DON has a low &#x3b4;<sup>15</sup>N and offsets the &#x3b4;<sup>15</sup>N-DON in the water column. In the <inline-formula>
<mml:math display="inline" id="im85">
<mml:mrow>
<mml:mtext>N</mml:mtext>
<mml:msubsup>
<mml:mtext>O</mml:mtext>
<mml:mn>3</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> depleted surface seawater (C-zone 1), DON serves as a potential N source for phytoplankton assimilation or heterotrophic microbial processes. In KBBCNT (C-zone 2), continuous DON mineralization and nitrification not only replenish the <inline-formula>
<mml:math display="inline" id="im86">
<mml:mrow>
<mml:mtext>N</mml:mtext>
<mml:msubsup>
<mml:mtext>O</mml:mtext>
<mml:mn>3</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> pool but also consume oxygen. This oxygen consumption in the water column probably contributes to coastal hypoxia. In C-zone 1 or C-zone 2, incomplete DON consumption (N released from DON) elevates the &#x3b4;<sup>15</sup>N of residual DON relative to the original &#x3b4;<sup>15</sup>N. The isotope effect was estimated to be 3.7 &#xb1; 1.2&#x2030; and 5.6 &#xb1; 2.6&#x2030;. Based on these results, we suggest that the longer the residence time is, the more completely the DON degrades and the stronger is the isotope effect. This DON cycling diagram (<xref ref-type="fig" rid="f8">
<bold>Figure&#xa0;8</bold>
</xref>) not only fits the CEECS but also is appropriate to be used to describe DON cycling in many other estuarine and marginal marine systems, even though the relative intensities of DON cycling processes may vary.</p>
<fig id="f8" position="float">
<label>Figure&#xa0;8</label>
<caption>
<p>Diagram of dissolved organic nitrogen production and consumption in the Changjiang Estuary and the adjacent East China Sea shelf areas with a description of the reaction pathways. The dotted arrow represents the consumption process, and the solid arrow represents the production process.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-09-855479-g008.tif"/>
</fig>
</sec>
</sec>
<sec id="s5">
<title>5 Conclusions</title>
<p>This study proved that DON is an active component in N cycling in estuaries and global marginal seas. Intensive physical processes are among the major drivers controlling the distribution of DON, but the active biotic processes as well play an important role, as revealed and evidenced by the results of the OMP analysis combined with information on the &#x3b4;<sup>15</sup>N of DON and other associated N species. There exists dynamic zoning in DON production and consumption in the direction from the estuary to the offshore marginal sea. The combination of OMP analysis and multiple N isotopic proxies has proven to be a useful means of studying DON cycling and may help to improve understanding of the complicated DON dynamics in perturbed estuaries and adjacent marginal seas on a global scale.</p>
</sec>
<sec id="s6" sec-type="data-availability">
<title>Data Availability Statement</title>
<p>The datasets presented in this study can be found in an online repository. The name of the repository and accession number can be found below: <uri xlink:href="https://doi.org/10.6084/m9.figshare.17170967.v1">https://doi.org/10.6084/m9.figshare.17170967.v1</uri>.</p>
</sec>
<sec id="s7" sec-type="author-contributions">
<title>Author Contributions</title>
<p>XZ: conceptualization, methodology, Investigation, data curation, visualization, and writing&#x2014;original draft. MY, WX, ZY, FX, and SD: investigation and data curation. YX: conceptualization, methodology, writing&#x2014;review and editing, supervision, and funding acquisition. XS: conceptualization and supervision. All authors contributed to the article and approved the submitted version.</p>
</sec>
<sec id="s8" sec-type="funding-information">
<title>Funding</title>
<p>This work was financially supported by the National Natural Science Foundation of China (41576082), the National Key Research and Development Program (2018YFC0309803), and the National Natural Science Foundation of China (92051115).</p>
</sec>
<sec id="s9" 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="s10" 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>
<ack>
<title>Acknowledgments</title>
<p>We appreciate the captain and the crew of R/V &#x201c;Science III&#x201d; for their assistance and cooperation during the cruise. We thank Wentao Wang (Institute of Oceanology Chinese Academy of Sciences) and Peng Zhou (East China Normal University) for their guidance on optimum multiparameter analysis. We thank LetPub (<uri xlink:href="http://www.letpub.com">www.letpub.com</uri>) for its linguistic assistance during the preparation of this manuscript.</p>
</ack>
<sec id="s11" sec-type="supplementary-material">
<title>Supplementary Material</title>
<p>The Supplementary Material for this article can be found online at: <ext-link ext-link-type="uri" xlink:href="https://www.frontiersin.org/articles/10.3389/fmars.2022.855479/full#supplementary-material">https://www.frontiersin.org/articles/10.3389/fmars.2022.855479/full#supplementary-material</ext-link>
</p>
  <supplementary-material xlink:href="DataSheet_1.docx" id="SM1" mimetype="application/vnd.openxmlformats-officedocument.wordprocessingml.document"/>
</sec>
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