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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Mar. Sci.</journal-id>
<journal-title>Frontiers in Marine Science</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Mar. Sci.</abbrev-journal-title>
<issn pub-type="epub">2296-7745</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.3389/fmars.2021.756076</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>Tracing the Atmospheric Input of Seawater-Dissolvable Pb Based on the Budget of <sup>210</sup>Pb in the East Sea (Japan Sea)</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name><surname>Seo</surname> <given-names>Hojong</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/1128024/overview"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name><surname>Kim</surname> <given-names>Guebuem</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<xref ref-type="corresp" rid="c001"><sup>&#x002A;</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/258201/overview"/>
</contrib>
<contrib contrib-type="author">
<name><surname>Kim</surname> <given-names>Young-Il</given-names></name>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
</contrib>
<contrib contrib-type="author">
<name><surname>Kim</surname> <given-names>Intae</given-names></name>
<xref ref-type="aff" rid="aff3"><sup>3</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/1437026/overview"/>
</contrib>
</contrib-group>
<aff id="aff1"><sup>1</sup><institution>School of Earth and Environmental Sciences, Research Institute of Oceanography, Seoul National University</institution>, <addr-line>Seoul</addr-line>, <country>South Korea</country></aff>
<aff id="aff2"><sup>2</sup><institution>East Sea Research Institute, Korea Institute of Ocean Science and Technology</institution>, <addr-line>Uljin</addr-line>, <country>South Korea</country></aff>
<aff id="aff3"><sup>3</sup><institution>Marine Environmental Research Center, Korea Institute of Ocean Science and Technology</institution>, <addr-line>Busan</addr-line>, <country>South Korea</country></aff>
<author-notes>
<fn fn-type="edited-by"><p>Edited by: Selvaraj Kandasamy, Xiamen University, China</p></fn>
<fn fn-type="edited-by"><p>Reviewed by: Edward Boyle, Massachusetts Institute of Technology, United States; Mark Baskaran, Wayne State University, United States</p></fn>
<corresp id="c001">&#x002A;Correspondence: Guebuem Kim, <email>gkim@snu.ac.kr</email></corresp>
<fn fn-type="other" id="fn004"><p>This article was submitted to Marine Biogeochemistry, a section of the journal Frontiers in Marine Science</p></fn>
</author-notes>
<pub-date pub-type="epub">
<day>28</day>
<month>10</month>
<year>2021</year>
</pub-date>
<pub-date pub-type="collection">
<year>2021</year>
</pub-date>
<volume>8</volume>
<elocation-id>756076</elocation-id>
<history>
<date date-type="received">
<day>10</day>
<month>08</month>
<year>2021</year>
</date>
<date date-type="accepted">
<day>05</day>
<month>10</month>
<year>2021</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#x00A9; 2021 Seo, Kim, Kim and Kim.</copyright-statement>
<copyright-year>2021</copyright-year>
<copyright-holder>Seo, Kim, Kim and Kim</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>In order to determine the atmospheric input of <sup>210</sup>Pb and seawater-dissolvable Pb in the East Sea (Japan Sea), we measured the concentrations of total <sup>210</sup>Pb and dissolved Pb (&#x003C;0.2 &#x03BC;m) in seawater and <sup>210</sup>Pb and <sup>226</sup>Ra in sinking particles. The East Sea is deep (&#x223C;3700 m) and enclosed by surrounding continents except for the shallow sills (&#x003C;150 m). Since the East Sea is located off the East Asian continent under the westerlies, the concentrations of <sup>210</sup>Pb and dissolved Pb in this sea are significantly affected by terrestrial sources through the atmosphere. The vertical profiles of total <sup>210</sup>Pb and dissolved Pb generally showed a surface maximum and then decreased with depth. The concentrations of dissolved Pb in the surface water were 2 and 3 times higher than those in the North Pacific and North Atlantic Oceans, respectively. Using an independent box model (upper 1000 m or 2000 m), we estimate the atmospheric input of <sup>210</sup>Pb to be 1.46 &#x00B1; 0.25 dpm cm<sup>&#x2212;2</sup> y <sup>&#x2212;</sup> <sup>1</sup>, which is within the range of published results from the land-based sites (0.44&#x2013;4.40 dpm cm<sup>&#x2212;2</sup> y <sup>&#x2212;</sup> <sup>1</sup>) in South Korea, China, and Japan. Based on this flux, the residence time of total <sup>210</sup>Pb in the East Sea is calculated to be approximately 7.1 &#x00B1; 1.6 years, which is twice lower than the previous estimation. Combining the residence time of <sup>210</sup>Pb and the inventory of dissolved Pb, the atmospheric input of seawater-dissolvable Pb is estimated to be 0.98 &#x00B1; 0.28 nmol cm<sup>&#x2212;2</sup> y <sup>&#x2212;</sup> <sup>1</sup>. This flux is approximately 25% of the Pb flux through the wet deposition (acid-leachable fraction). Thus, our results suggest that the flux and fate of atmospheric Pb in the ocean can be successfully determined using an accurate mass balance model of naturally occurring <sup>210</sup>Pb.</p>
</abstract>
<kwd-group>
<kwd>East Sea</kwd>
<kwd>Japan Sea</kwd>
<kwd><sup>210</sup>Pb</kwd>
<kwd>seawater-dissolvable Pb</kwd>
<kwd>atmospheric input</kwd>
</kwd-group>
<counts>
<fig-count count="4"/>
<table-count count="2"/>
<equation-count count="3"/>
<ref-count count="80"/>
<page-count count="10"/>
<word-count count="8916"/>
</counts>
</article-meta>
</front>
<body>
<sec sec-type="intro" id="S1">
<title>Introduction</title>
<p>The naturally occurring radionuclide <sup>210</sup>Pb (<italic>t</italic><sub>1/2</sub> = 22.3 years), belonging to the <sup>238</sup>U decay series, is produced from <sup>226</sup>Ra (<italic>t</italic><sub>1/2</sub> = 1600 years), via <sup>222</sup>Rn (<italic>t</italic><sub>1/2</sub> = 3.8 days) and other short-lived radionuclides (<italic>t</italic><sub>1/2</sub> &#x003C; 30 min). In the upper ocean, most of the <sup>210</sup>Pb originates from atmospheric deposition, while that in the deep ocean is mainly produced by <italic>in situ</italic> decay of <sup>226</sup>Ra. Therefore, an excess of <sup>210</sup>Pb over <sup>226</sup>Ra (<sup>210</sup>Pb<sub><italic>ex</italic></sub>: <sup>210</sup>Pb-<sup>226</sup>Ra) is observed in the upper ocean, except for the polar regions, where the atmospheric input of <sup>210</sup>Pb is small (<xref ref-type="bibr" rid="B16">Els&#x00E4;sser et al., 2011</xref>; <xref ref-type="bibr" rid="B52">Persson and Holm, 2014</xref>; <xref ref-type="bibr" rid="B6">Baskaran and Krupp, 2021</xref>). <sup>210</sup>Pb is rapidly removed by particles in the surface water, so the residence time of <sup>210</sup>Pb in the surface water is short: 1&#x2013;3 years in the North Pacific and North Atlantic Oceans (<xref ref-type="bibr" rid="B46">Nozaki and Tsunogai, 1973</xref>, <xref ref-type="bibr" rid="B47">1976</xref>; <xref ref-type="bibr" rid="B3">Bacon et al., 1976</xref>; <xref ref-type="bibr" rid="B45">Nozaki et al., 1976</xref>; <xref ref-type="bibr" rid="B54">Rigaud et al., 2015</xref>). The occurrence of <sup>210</sup>Pb<sub><italic>ex</italic></sub> decreases toward the continent as enhanced scavenging occurs at the ocean margin (<xref ref-type="bibr" rid="B3">Bacon et al., 1976</xref>; <xref ref-type="bibr" rid="B45">Nozaki et al., 1976</xref>; <xref ref-type="bibr" rid="B2">Anderson et al., 1994</xref>; <xref ref-type="bibr" rid="B61">Seo et al., 2021</xref>).</p>
<p><sup>210</sup>Pb has been useful in tracing the behavior of anthropogenic Pb in marine environments. For example, the atmospheric input of Pb was estimated using Pb/<sup>210</sup>Pb ratios in the rain and the steady-state <sup>210</sup>Pb flux (<xref ref-type="bibr" rid="B63">Settle et al., 1982</xref>). The decreasing trend of anthropogenic Pb flux to the Sargasso Sea in response to decline in the emission of United States leaded gasoline was revealed based on the reduced Pb/<sup>210</sup>Pb ratios in the surface water from 1979 to 1987 (<xref ref-type="bibr" rid="B7">Boyle et al., 1986</xref>; <xref ref-type="bibr" rid="B64">Shen and Boyle, 1988</xref>; <xref ref-type="bibr" rid="B65">Sherrell et al., 1992</xref>). Those studies also combined the Pb/<sup>210</sup>Pb ratios with <sup>3</sup>H-<sup>3</sup>He thermocline ventilation model (<xref ref-type="bibr" rid="B30">Jenkins, 1980</xref>) to reveal the importance of isopycnal transport on Pb distributions in that region. <xref ref-type="bibr" rid="B65">Sherrell et al. (1992)</xref> also suggested that dissolved Pb and particulate Pb were in equilibrium within the residence time of particulate matter based on the Pb isotope ratios (<sup>206</sup>Pb/<sup>207</sup>Pb) and <sup>210</sup>Pb in suspended particulate matter. However, these <sup>210</sup>Pb applications included significant uncertainties since it is difficult to constrain the actual inputs of atmospheric <sup>210</sup>Pb to the specific ocean region. In previous studies, the atmospheric input of <sup>210</sup>Pb has been estimated by sampling the aerosol and/or rain from the land (islands or coastal sites) (e.g., <xref ref-type="bibr" rid="B72">Turekian et al., 1983</xref>; <xref ref-type="bibr" rid="B71">Turekian, 1989</xref>), sampling the aerosol and/or rain from the ocean via research cruise (e.g., <xref ref-type="bibr" rid="B53">Rengarajan and Sarin, 2004</xref>; <xref ref-type="bibr" rid="B42">Niedermiller and Baskaran, 2019</xref>), and modeling (e.g., <xref ref-type="bibr" rid="B73">Turekian et al., 1977</xref>; <xref ref-type="bibr" rid="B17">Feichter et al., 1991</xref>; <xref ref-type="bibr" rid="B4">Balkanski et al., 1993</xref>). However, the land-based sampling methods cannot cover vast areas of the ocean and the sampling during cruise covers only a limited time period. The models also suffer from the lack of measured data (<xref ref-type="bibr" rid="B44">Nozaki et al., 1998</xref>), although their results with the measured data can be more representative.</p>
<p>The East Sea (Japan Sea) is an enclosed deep marginal sea in the northwestern Pacific Ocean, with a maximum depth of 3700 m and a surface area of 1.0 &#x00D7; 10 <sup>6</sup> km <sup>2</sup>. This sea has a deep water formation and a meridional overturning circulation similar to the global ocean (<xref ref-type="bibr" rid="B28">Ichiye, 1984</xref>; <xref ref-type="bibr" rid="B18">Gamo, 1999</xref>; <xref ref-type="bibr" rid="B35">Kim et al., 2001</xref>), although the turnover time of deep water (&#x223C;100 years) is shorter than the global circulation time (<xref ref-type="bibr" rid="B74">Watanabe et al., 1991</xref>; <xref ref-type="bibr" rid="B70">Tsunogai et al., 1993</xref>; <xref ref-type="bibr" rid="B39">Kumamoto et al., 1998</xref>). Since the East Sea does not have a large discharge from rivers and is located off the eastern part of the Asian continent, large amounts of lithogenic and anthropogenic elements enter the upper ocean through atmospheric deposition (<xref ref-type="bibr" rid="B51">Park et al., 2006</xref>; <xref ref-type="bibr" rid="B32">Jo et al., 2007</xref>; <xref ref-type="bibr" rid="B38">Kim et al., 2011</xref>; <xref ref-type="bibr" rid="B75">Yan and Kim, 2015</xref>; <xref ref-type="bibr" rid="B62">Seo and Kim, 2020</xref>). The deep water of the East Sea is almost disconnected from the North Pacific Ocean, except through four shallow sills (&#x003C;150 m). Thus, the East Sea is an ideal site to study the atmospheric inputs of various elements and their behaviors within a closed system.</p>
<p>In this study, we attempt to estimate the atmospheric input of seawater-dissolvable Pb in the East Sea using the inventory of dissolved Pb in the water column and the residence time of <sup>210</sup>Pb. The residence time of <sup>210</sup>Pb is calculated using the mass balance of the input terms (atmospheric deposition; ingrowth from <sup>226</sup>Ra in seawater) and the output terms (decay of <sup>210</sup>Pb; removal by sinking particles). For this mass balance estimation, we measured the distributions of total <sup>210</sup>Pb in seawater, dissolved Pb in seawater, and settling fluxes of <sup>226</sup>Ra and <sup>210</sup>Pb through 1000 m and 2000 m from sediment trap samples. In addition, we compile previously published <sup>226</sup>Ra and <sup>210</sup>Pb data including the Japan side for more accurate estimation.</p>
</sec>
<sec id="S2" sec-type="materials|methods">
<title>Materials and Methods</title>
<sec id="S2.SS1">
<title>Sampling</title>
<p>For the measurements of total <sup>210</sup>Pb in seawater, sampling was conducted from April 6 to May 3 in 2015 on R/V <italic>Akademik M.A. Lavrentyev</italic> (<xref ref-type="fig" rid="F1">Figure 1</xref>). Seawater samples (10 L, <italic>n</italic> = 29) were collected in high-density polyethylene (HDPE) bottles from Niskin samplers. The samples were acidified with 12 M HCl (pH &#x003C; 2) within 1 hour to prevent <sup>210</sup>Pb from sorbing onto the bottles and then stored until analysis.</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption><p>Sampling locations for total <sup>210</sup>Pb and dissolved Pb in seawater and <sup>210</sup>Pb and <sup>226</sup>Ra in sinking particles.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-08-756076-g001.tif"/>
</fig>
<p>For the measurements of dissolved Pb in seawater, ultra-clean sampling was conducted from January 26 to February 2 in 2018 on R/V <italic>Isabu</italic> and from October 26 to November 22 in 2019 on R/V <italic>Akademik Oparin</italic>, respectively (<xref ref-type="fig" rid="F1">Figure 1</xref>). We used PRISTINE ultra-clean CTD (UCC) and Teflon-coated Niskin-X samplers on the R/V <italic>Isabu</italic> and R/V <italic>Akademik Oparin</italic>, respectively. All procedures, including cleaning and sampling, followed the GEOTRACES protocol (<xref ref-type="bibr" rid="B12">Cutter et al., 2017</xref>). Seawater samples (125 mL, <italic>n</italic> = 64) were collected in pre-cleaned low-density polyethylene (LDPE) bottles from PRISTINE or Niskin-X samplers through pre-cleaned polyethersulfone capsule filters (0.2-&#x03BC;m pore size; AcroPak-200, Pall). The samples were acidified to pH &#x223C;1.8 within 1 hour after sampling using 12 M HCl (ultra-high pure grade, ODLAB) and stored for laboratory analysis. Milli-Q water (18.2 M&#x03A9;, <italic>n</italic> = 15) was used as a procedural blank.</p>
<p>For <sup>226</sup>Ra and <sup>210</sup>Pb in sinking particles, the conical type sediment traps (MARK7G-21, McLane) were deployed at 1000 m and 2000 m depths from December 1998 to December 1999 (<xref ref-type="fig" rid="F1">Figure 1</xref>). All sample cups were filled with HgCl<sub>2</sub> solutions before deployment to prevent the samples from bacterial degradation. After the recovery of the sediment traps, samples were kept below 4&#x00B0;C until they were transported to the land-based laboratory for further analysis.</p>
</sec>
<sec id="S2.SS2">
<title>Analytical Methods</title>
<p>The method for measuring the total phase of <sup>210</sup>Pb in seawater in this study was similar to that of previous studies (<xref ref-type="bibr" rid="B37">Kim and Kim, 2012</xref>; <xref ref-type="bibr" rid="B61">Seo et al., 2021</xref>). Briefly, all seawater samples for total <sup>210</sup>Pb were stored for more than 2 years to allow for the equilibrium between <sup>2</sup> <sup>10</sup>Pb and <sup>210</sup>Po. <sup>209</sup>Po spike (1.5 dpm) and Fe <sup>3</sup> <sup>+</sup> (50 mg) carrier were added to the samples and left to equilibrate for 24 hours. Ammonium hydroxide was used to adjust the pH to &#x223C;8 for the co-precipitation of <sup>210</sup>Po and Fe(OH)<sub>3</sub>. The supernatants were removed and then the precipitates were filtered. The precipitates were digested with a mixture solution of concentrated HNO<sub>3</sub> and HCl (1:1, v/v) to remove any organic matter in the samples. The mixture solution was dried down and then re-dissolved in 50 mL of 0.5 M HCl. After adding &#x223C;0.5 g of ascorbic acid to reduce Fe <sup>3</sup> <sup>+</sup>, Po was plated onto a silver disk at a temperature of &#x223C;80&#x00B0;C with stirring for 3 hours. <sup>210</sup>Po activities on the silver disks were counted by using alpha spectrometry (Alpha Analyst, Canberra). The measured counts were corrected for the background of the alpha spectrometry, decay of <sup>210</sup>Po during counting, recovery of <sup>209</sup>Po spike, decay of <sup>210</sup>Pb from sampling to plating, and the reagent blank (<xref ref-type="bibr" rid="B9">Church et al., 2012</xref>). The reagent blank for <sup>210</sup>Pb was 0.0175 &#x00B1; 0.004 dpm (<italic>n</italic> = 5), which is comparable with those in <xref ref-type="bibr" rid="B55">Roca-Mart&#x00ED; et al. (2021)</xref>. The blank accounted for 1.1&#x2013;4.6% (average: 2.7 &#x00B1; 1.0%, <italic>n</italic> = 35) of the total <sup>210</sup>Pb in this study.</p>
<p>The concentrations of dissolved Pb were determined using an online pre-concentration system (seaFAST SP3; Elemental Scientific) coupled to a sector-field inductively coupled plasma mass spectrometry (ICP-MS; Element 2, Thermo Fisher Scientific). Approximately 10 mL of sample was buffered to pH &#x223C;6.2 with a 4 M ammonium acetate buffer. The sample was loaded onto the seaFAST column filled with Nobias-chelate PA1 resin (200 &#x03BC;L), subsequently rinsed with a mixed solution of Milli-Q water and buffer to remove the salt. Then, Pb was eluted with 1.6 M HNO<sub>3</sub> (ultra-high pure grade, ODLAB). During the analysis, rhodium was used for an internal standard to correct the changes in ICP-MS sensitivity for each sample. The procedural blank and detection limit of this method was 3.9 pmol kg <sup>&#x2212;</sup> <sup>1</sup> and 2.8 pmol kg <sup>&#x2212;</sup> <sup>1</sup>, respectively. The accuracy of the measurement was determined by analyzing the certified reference materials (CASS-6 and NASS-7; National Research Council of Canada) and GEOTRACES reference standards (GSC: bottle number 97 and GSP: bottle number 36).</p>
<p>For <sup>210</sup>Pb and <sup>226</sup>Ra analyses in sinking particles, sediment trap samples were filtered through a 1 mm nylon mesh to separate swimmers and then freeze-dried. The freeze-dried samples were packed into gamma vials and sealed to avoid the loss of <sup>222</sup>Rn. After more than 3 weeks for the secular equilibrium between <sup>226</sup>Ra and its daughter (<sup>214</sup>Pb and <sup>214</sup> Bi), the activities of <sup>210</sup>Pb and <sup>226</sup>Ra were measured using a gamma counter, with a high-purity germanium well detector (HPGe, Canberra), for the gamma-ray energy of each isotope (46.5 keV for <sup>210</sup>Pb; 351.9 keV for <sup>214</sup>Pb; 609.3 keV for <sup>214</sup> Bi). All analytical results are summarized in <xref ref-type="supplementary-material" rid="TS1">Supplementary Tables 1</xref>&#x2013;<xref ref-type="supplementary-material" rid="TS1">4</xref>.</p>
</sec>
</sec>
<sec sec-type="results" id="S3">
<title>Results</title>
<p>The vertical profiles of total <sup>210</sup>Pb in the East Sea showed the highest activities in the surface and decreased with depth, as observed in other major non-polar open oceans (<xref ref-type="bibr" rid="B49">Nozaki et al., 1980</xref>; <xref ref-type="bibr" rid="B10">Cochran et al., 1990</xref>; <xref ref-type="bibr" rid="B33">Kim, 2001</xref>; <xref ref-type="bibr" rid="B54">Rigaud et al., 2015</xref>; <xref ref-type="bibr" rid="B66">Tang et al., 2018</xref>; <xref ref-type="bibr" rid="B27">Horowitz et al., 2020</xref>; <xref ref-type="fig" rid="F2">Figure 2A</xref>). The activities of total <sup>210</sup>Pb ranged from 9.3 to 16.4 dpm 100 L <sup>&#x2212;</sup> <sup>1</sup> (average: 12.8 &#x00B1; 2.8 dpm 100 L <sup>&#x2212;</sup> <sup>1</sup>, <italic>n</italic> = 8) in the surface water (0&#x2013;100 m) and decreased to a range from 4.2 to 6.6 dpm 100 L <sup>&#x2212;</sup> <sup>1</sup> (average: 5.0 &#x00B1; 0.9 dpm 100 L <sup>&#x2212;</sup> <sup>1</sup>, <italic>n</italic> = 7) in the deep water (2500&#x2013;3200 m). The activities of total <sup>210</sup>Pb in the surface water of the East Sea (0&#x2013;100 m) were comparable with those in the North Pacific and North Atlantic Oceans, whereas the activities of total <sup>210</sup>Pb in the deep East Sea (2000 m) were approximately 4.8 and 2.2 times lower than those in the North Pacific and North Atlantic Oceans, respectively (<xref ref-type="bibr" rid="B47">Nozaki and Tsunogai, 1976</xref>; <xref ref-type="bibr" rid="B49">Nozaki et al., 1980</xref>; <xref ref-type="bibr" rid="B54">Rigaud et al., 2015</xref>).</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption><p>Vertical profiles of <bold>(A)</bold> total <sup>210</sup>Pb (dpm 100 L <sup>&#x2212;</sup> <sup>1</sup>) and <bold>(B)</bold> dissolved Pb (pmol kg <sup>&#x2212;</sup> <sup>1</sup>) in the East Sea.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-08-756076-g002.tif"/>
</fig>
<p>The vertical profiles of dissolved Pb in the East Sea were similar to those of total <sup>210</sup>Pb, showing the surface maximum and decrease with depth, except at station E1 (<xref ref-type="fig" rid="F2">Figure 2B</xref>). This distribution pattern differed from those in other open oceans, such as the central North Pacific, North Atlantic, and South Atlantic Oceans, which displayed a sub-surface maximum (<xref ref-type="bibr" rid="B43">Noble et al., 2015</xref>; <xref ref-type="bibr" rid="B80">Zurbrick et al., 2017</xref>, <xref ref-type="bibr" rid="B79">2018</xref>; <xref ref-type="bibr" rid="B60">Schlosser et al., 2019</xref>; <xref ref-type="bibr" rid="B78">Zheng et al., 2019</xref>). The concentrations of dissolved Pb ranged from 45 to 107 pmol kg <sup>&#x2212;</sup> <sup>1</sup> (average: 73 &#x00B1; 15 pmol kg <sup>&#x2212;</sup> <sup>1</sup>, <italic>n</italic> = 27) in the surface water (0&#x2013;100 m) and decreased to a range from 4 to 15 pmol kg <sup>&#x2212;</sup> <sup>1</sup> (average: 8.5 &#x00B1; 3.7 pmol kg <sup>&#x2212;</sup> <sup>1</sup>, <italic>n</italic> = 6) in the deep water (1500&#x2013;2200 m). The concentrations of dissolved Pb in the surface water of the East Sea (0&#x2013;100 m) were approximately 1.8 and 3.2 times higher than those in the North Pacific and North Atlantic Oceans, respectively. On the other hand, the concentrations of dissolved Pb in the deep East Sea (2000 m) were approximately 2.1 and 3.1 times lower than those in the North Pacific and North Atlantic Oceans, respectively (<xref ref-type="bibr" rid="B43">Noble et al., 2015</xref>; <xref ref-type="bibr" rid="B78">Zheng et al., 2019</xref>; <xref ref-type="bibr" rid="B31">Jiang et al., 2021</xref>). At station E1 (water depth: 190 m), the concentrations of Pb were &#x223C;56 pmol kg <sup>&#x2212;</sup> <sup>1</sup> in the surface (0&#x2013;100 m) and decreased to &#x223C;26 pmol kg <sup>&#x2212;</sup> <sup>1</sup> in the sub-surface (100&#x2013;150 m), followed by an increase to 38 pmol kg <sup>&#x2212;</sup> <sup>1</sup> near the bottom sediments.</p>
<p>The total particle flux through the sediment traps ranged from 0.09 to 1.27 g m<sup>&#x2212;2</sup> d<sup>&#x2212;1</sup> (average: 0.40 &#x00B1; 0.23 g m<sup>&#x2212;2</sup> d<sup>&#x2212;1</sup>, <italic>n</italic> = 52) and 0.15 to 0.84 g m<sup>&#x2212;2</sup> d<sup>&#x2212;1</sup> (average: 0.36 &#x00B1; 0.16 g m <sup>&#x2212;2</sup> d<sup>&#x2212;1</sup>, <italic>n</italic> = 57) at 1000 and 2000 m, respectively (<xref ref-type="fig" rid="F3">Figure 3A</xref>). The total particle flux at 1000 m showed peaks in March (0.78 g m<sup>&#x2212;2</sup> d<sup>&#x2212;1</sup>), April (1.03 g m<sup>&#x2212;2</sup> d<sup>&#x2212;1</sup>), and November (1.27 g m<sup>&#x2212;2</sup> d<sup>&#x2212;1</sup>). At 2000 m, the seasonal variation of total particle flux was similar to that at 1000 m. The total particle flux at 1000 m in the East Sea was approximately 4 and 9 times higher than that in the North Pacific (Moored depth: 1004&#x2013;1264 m; <xref ref-type="bibr" rid="B69">Tsunogai et al., 1982</xref>; <xref ref-type="bibr" rid="B20">Harada and Tsunogai, 1986b</xref>) and North Atlantic Oceans (Moored depth: 1500 m; <xref ref-type="bibr" rid="B24">Hong et al., 2013</xref>), respectively.</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption><p>One-year time series data (December 1998 to December 1999) of <bold>(A)</bold> total particulate flux (g m<sup>&#x2212;2</sup> d<sup>&#x2212;1</sup>) and <bold>(B)</bold> <sup>210</sup>Pb (dpm m<sup>&#x2212;2</sup> d<sup>&#x2212;1</sup>) flux in the sinking particles.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-08-756076-g003.tif"/>
</fig>
<p>The sinking flux of particulate <sup>210</sup>Pb through the sediment traps ranged from 15 to 97 dpm m<sup>&#x2212;2</sup> d<sup>&#x2212;1</sup> (average: 46 &#x00B1; 19 dpm m<sup>&#x2212;2</sup> d<sup>&#x2212;1</sup>, <italic>n</italic> = 52) and 17 to 115 dpm m<sup>&#x2212;2</sup> d<sup>&#x2212;1</sup> (average: 57 &#x00B1; 20 dpm m<sup>&#x2212;2</sup> d<sup>&#x2212;1</sup>, <italic>n</italic> = 57) at 1000 and 2000 m, respectively (<xref ref-type="fig" rid="F3">Figure 3B</xref>). The <sup>210</sup>Pb flux at 1000 m exhibited peaks in February (83 dpm m<sup>&#x2212;2</sup> d<sup>&#x2212;1</sup>), April (73 dpm m<sup>&#x2212;2</sup> d<sup>&#x2212;1</sup>), and November (97 dpm m<sup>&#x2212;2</sup> d<sup>&#x2212;1</sup>), similar to total particle flux, whereas 2000 m data showed peaks in February (107 dpm m<sup>&#x2212;2</sup> d<sup>&#x2212;1</sup>) and March (106 dpm m<sup>&#x2212;2</sup> d<sup>&#x2212;1</sup>). The sinking flux of particulate <sup>210</sup>Pb at 1000 m in the East Sea was approximately 5 and 3 times higher than that in the North Pacific (Moored depth: 1004&#x2013;1264 m; <xref ref-type="bibr" rid="B69">Tsunogai et al., 1982</xref>; <xref ref-type="bibr" rid="B20">Harada and Tsunogai, 1986b</xref>) and North Atlantic Oceans (Moored depth: 1500 m; <xref ref-type="bibr" rid="B24">Hong et al., 2013</xref>), respectively. The activities of <sup>226</sup>Ra were &#x223C;6% of <sup>210</sup>Pb in the sinking particles.</p>
</sec>
<sec sec-type="discussion" id="S4">
<title>Discussion</title>
<sec id="S4.SS1">
<title>Budget of <sup>210</sup>Pb in the East Sea</title>
<p>The budget of <sup>210</sup>Pb in the East Sea is estimated using two different boxes of a steady-state scavenging model (0&#x2013;1000 m or 0&#x2013;2000 m). At steady state (&#x2202;A/&#x2202;t = 0), by neglecting advection and diffusion, the mass balance of <sup>210</sup>Pb can be calculated as follow:</p>
<disp-formula id="S4.Ex1">
<mml:math id="M1">
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:mo>&#x2202;</mml:mo>
<mml:mo>&#x2061;</mml:mo>
<mml:msub>
<mml:mtext>A</mml:mtext>
<mml:mrow>
<mml:mrow>
<mml:mtext>Pb</mml:mtext>
</mml:mrow>
<mml:mo>-</mml:mo>
<mml:mn>210</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2202;</mml:mo>
<mml:mo>&#x2061;</mml:mo>
<mml:mtext>t</mml:mtext>
</mml:mrow>
</mml:mfrac>
<mml:mo>=</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">&#x03BB;</mml:mi>
<mml:mrow>
<mml:mrow>
<mml:mtext>Pb</mml:mtext>
</mml:mrow>
<mml:mo>-</mml:mo>
<mml:mn>210</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>&#x00D7;</mml:mo>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mtext>A</mml:mtext>
<mml:mrow>
<mml:mrow>
<mml:mtext>Ra</mml:mtext>
</mml:mrow>
<mml:mo>-</mml:mo>
<mml:mn>226</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>-</mml:mo>
<mml:msub>
<mml:mtext>A</mml:mtext>
<mml:mrow>
<mml:mrow>
<mml:mtext>Pb</mml:mtext>
</mml:mrow>
<mml:mo>-</mml:mo>
<mml:mn>210</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:mrow>
</mml:math>
</disp-formula>
<disp-formula id="S4.Ex2">
<label>(1)</label>
<mml:math id="M2">
<mml:mrow>
<mml:mrow>
<mml:mrow>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mtext>F</mml:mtext>
<mml:mrow>
<mml:mtext>Atm</mml:mtext>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mo>-</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mtext>k</mml:mtext>
<mml:mrow>
<mml:mrow>
<mml:mtext>Pb</mml:mtext>
</mml:mrow>
<mml:mo>-</mml:mo>
<mml:mn>210</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2062;</mml:mo>
<mml:msub>
<mml:mtext>A</mml:mtext>
<mml:mrow>
<mml:mrow>
<mml:mtext>Pb</mml:mtext>
</mml:mrow>
<mml:mo>-</mml:mo>
<mml:mn>210</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mrow>
<mml:mo>=</mml:mo>
<mml:mn>0</mml:mn>
</mml:mrow>
</mml:math>
</disp-formula>
<p>where &#x03BB;, F<sub><italic>Atm</italic>,</sub> k, and A represent the decay constant of <sup>210</sup>Pb (y <sup>&#x2212;</sup> <sup>1</sup>), atmospheric depositional flux of <sup>210</sup>Pb (dpm cm<sup>&#x2212;2</sup> y <sup>&#x2212;</sup> <sup>1</sup>), first-order scavenging rate constant (y <sup>&#x2212;</sup> <sup>1</sup>), and inventory of each radionuclide (dpm cm<sup>&#x2212;2</sup>) in the 0&#x2013;1000 m and 0&#x2013;2000 m, respectively. For the inventory of total <sup>210</sup>Pb, we compile our measured data with previously published data from the East Sea (<xref ref-type="bibr" rid="B48">Nozaki et al., 1973</xref>; <xref ref-type="bibr" rid="B37">Kim and Kim, 2012</xref>; <xref ref-type="bibr" rid="B61">Seo et al., 2021</xref>; this study). The inventory of <sup>226</sup>Ra in the East Sea is from the published results (<xref ref-type="bibr" rid="B19">Harada and Tsunogai, 1986a</xref>; <xref ref-type="bibr" rid="B29">Inoue et al., 2015</xref>). The first-order scavenging flux (k<sub><italic>Pb&#x2013;210</italic></sub>A<sub><italic>Pb&#x2013;210</italic></sub>) is measured using the <sup>210</sup>Pb<sub><italic>ex</italic></sub> flux through the sediment traps. The sediment trap samples were not available in several periods (November 11&#x2013;December 11 in 1999 at 1000 m; December 6&#x2013;13 in 1998 and April 25&#x2013;29 in 1999 at 2000 m). In order to estimate the annual <sup>210</sup>Pb<sub><italic>ex</italic></sub> flux, we interpolate the <sup>210</sup>Pb<sub><italic>ex</italic></sub> flux for the missing-sample periods using the significant correlation between the monthly average <sup>210</sup>Pb<sub><italic>ex</italic></sub> fluxes at 1000 m and 2000 m (<italic>r</italic> <sup>2</sup> = 0.85; <xref ref-type="supplementary-material" rid="DS1">Supplementary Figure 1</xref>). In addition, we note that sediment trap samples of this study were obtained 16 years before the seawater sampling for <sup>210</sup>Pb. However, the activities of <sup>210</sup>Pb in seawater were similar from the 1970s to the 2010s in the East Sea (<xref ref-type="bibr" rid="B48">Nozaki et al., 1973</xref>; <xref ref-type="bibr" rid="B37">Kim and Kim, 2012</xref>; <xref ref-type="bibr" rid="B61">Seo et al., 2021</xref>; this study). Thus, we assume that there was no temporal change in <sup>210</sup>Pb in the East Sea over a few decades.</p>
<p>In Eq. (1), the only unknown term is the atmospheric input of <sup>210</sup>Pb into the ocean (F<sub><italic>Atm</italic></sub>). The atmospheric input of <sup>210</sup>Pb should be balanced by the <italic>in situ</italic> production from <sup>226</sup>Ra, <italic>in situ</italic> decay of <sup>210</sup>Pb, and settling flux to the deeper layer (<xref ref-type="fig" rid="F4">Figure 4</xref>). Then, the atmospheric input of <sup>210</sup>Pb is calculated to be 1.37 &#x00B1; 0.22 and 1.55 &#x00B1; 0.27 dpm cm<sup>&#x2212;2</sup> y <sup>&#x2212;</sup> <sup>1</sup> according to the water boxes of 0&#x2013;1000 m and 0&#x2013;2000 m, respectively. The results are consistent despite the different depths of both boxes, indicating no significant effect of the lateral transport of total <sup>210</sup>Pb. The atmospheric input of <sup>210</sup>Pb in the East Sea (1.46 &#x00B1; 0.25 dpm cm<sup>&#x2212;2</sup> y <sup>&#x2212;</sup> <sup>1</sup>) is similar to the average of previously reported values (1.64 &#x00B1; 1.10 dpm cm<sup>&#x2212;2</sup> y <sup>&#x2212;</sup> <sup>1</sup>) in this sea based on the land-based measurements or the numerical modeling, which showed large variations depending on the measurement sites and periods (0.44&#x2013;4.40 dpm cm<sup>&#x2212;2</sup> y <sup>&#x2212;</sup> <sup>1</sup>; <xref ref-type="bibr" rid="B68">Tokieda et al., 1996</xref>; <xref ref-type="bibr" rid="B22">Henderson and Maier-Reimer, 2002</xref>; <xref ref-type="bibr" rid="B23">Hirose et al., 2004</xref>; <xref ref-type="bibr" rid="B76">Yi et al., 2007</xref>; <xref ref-type="bibr" rid="B1">Akata et al., 2008</xref>; <xref ref-type="bibr" rid="B14">Du et al., 2008</xref>, <xref ref-type="bibr" rid="B13">2015</xref>; <xref ref-type="bibr" rid="B67">Tateda and Iwao, 2008</xref>; <xref ref-type="table" rid="T1">Table 1</xref>). It is reasonable to assume that the atmospheric input of <sup>210</sup>Pb calculated from the <sup>210</sup>Pb budget in the ocean represents the actual atmospheric flux over the annual to decadal time scales. The atmospheric <sup>210</sup>Pb flux in the East Sea is 2&#x2013;4 times higher than that in the major open oceans, such as the North Pacific (0.22&#x2013;0.30 dpm cm<sup>&#x2212;2</sup> y <sup>&#x2212;</sup> <sup>1</sup>; <xref ref-type="bibr" rid="B71">Turekian, 1989</xref>), equatorial Pacific (0.11&#x2013;0.51 dpm cm<sup>&#x2212;2</sup> y <sup>&#x2212;</sup> <sup>1</sup>; <xref ref-type="bibr" rid="B41">Murray et al., 2005</xref>), North Atlantic (0.40&#x2013;0.69 dpm cm<sup>&#x2212;2</sup> y <sup>&#x2212;</sup> <sup>1</sup>; <xref ref-type="bibr" rid="B72">Turekian et al., 1983</xref>; <xref ref-type="bibr" rid="B34">Kim et al., 1999</xref>), and Indian Oceans (0.73 dpm cm<sup>&#x2212;2</sup> y <sup>&#x2212;</sup> <sup>1</sup>; <xref ref-type="bibr" rid="B59">Sarin et al., 1999</xref>), respectively. However, the atmospheric input of <sup>210</sup>Pb in the East Sea approaches the upper limit of that in the corresponding latitudinal belt of global fallout curve (average: 0.96 &#x00B1; 0.58 dpm cm<sup>&#x2212;2</sup> y <sup>&#x2212;</sup> <sup>1</sup>, 30&#x2013;40&#x00B0;N, <xref ref-type="bibr" rid="B5">Baskaran, 2011</xref>). This higher flux in the study region is known to be due the elevated emanation of <sup>222</sup>Rn from the Asian continent (<xref ref-type="bibr" rid="B5">Baskaran, 2011</xref>; <xref ref-type="bibr" rid="B77">Zhang et al., 2021</xref>).</p>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption><p>A schematic box model accounting for the ingrowth, decay, export, and atmospheric flux of <sup>210</sup>Pb in the East Sea (dpm cm<sup>&#x2212;2</sup> y <sup>&#x2212;</sup> <sup>1</sup>).</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-08-756076-g004.tif"/>
</fig>
<table-wrap position="float" id="T1">
<label>TABLE 1</label>
<caption><p>Comparison of atmospheric depositional fluxes of <sup>210</sup>Pb (dpm cm<sup>&#x2212;2</sup> y <sup>&#x2212;</sup> <sup>1</sup>) around the East Sea.</p></caption>
<table cellspacing="5" cellpadding="5" frame="hsides" rules="groups">
<thead>
<tr>
<td valign="top" align="left"><bold>Study area</bold></td>
<td valign="top" align="left"><bold>Lat.</bold></td>
<td valign="top" align="left"><bold>Long.</bold></td>
<td valign="top" align="left"><bold>Collection period</bold></td>
<td valign="top" align="left"><bold>Method</bold></td>
<td valign="top" align="center" colspan="2"><bold><sup>210</sup>Pb flux (dpm cm</bold><sup>&#x2212;</sup><bold><sup>2</sup></bold> <bold>y</bold><sup>&#x2212;</sup><bold><sup>1</sup>)</bold></td>
<td valign="top" align="left"><bold>References</bold></td>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left"></td>
<td/>
<td/>
<td valign="top" align="justify"/>
<td valign="top" align="justify"/>
<td valign="top" align="center"><bold>Average</bold></td>
<td valign="top" align="center"><bold>Range</bold></td>
<td valign="top" align="justify"/>
</tr>
<tr>
<td valign="top" align="left">Rokkasho, Japan</td>
<td valign="top" align="left">41.0&#x00B0;N</td>
<td valign="top" align="left">141.4&#x00B0;E</td>
<td valign="top" align="left">July 2000&#x2013;March 2006</td>
<td valign="top" align="left">Bulk deposition (no leaching)</td>
<td valign="top" align="center">4.38</td>
<td valign="top" align="center">1.10&#x2013;55.3</td>
<td valign="top" align="left"><xref ref-type="bibr" rid="B1">Akata et al., 2008</xref></td>
</tr>
<tr>
<td valign="top" align="left">Tsukuba, Japan</td>
<td valign="top" align="left">36.1&#x00B0;N</td>
<td valign="top" align="left">140.1&#x00B0;E</td>
<td valign="top" align="left">January 2000&#x2013;December 2001</td>
<td valign="top" align="left">Bulk deposition (no leaching)</td>
<td valign="top" align="center">1.10</td>
<td valign="top" align="center">0.62&#x2013;2.26</td>
<td valign="top" align="left"><xref ref-type="bibr" rid="B23">Hirose et al., 2004</xref></td>
</tr>
<tr>
<td valign="top" align="left">Nagasaki, Japan</td>
<td valign="top" align="left">32.8&#x00B0;N</td>
<td valign="top" align="left">129.8&#x00B0;E</td>
<td valign="top" align="left">January 2000&#x2013;December 2000</td>
<td valign="top" align="justify"/>
<td valign="top" align="center">1.39</td>
<td valign="top" align="center">0.07&#x2013;5.62</td>
<td valign="top" align="justify"/>
</tr>
<tr>
<td valign="top" align="left">Odawa Bay, Japan</td>
<td valign="top" align="left">35.2&#x00B0;N</td>
<td valign="top" align="left">139.6&#x00B0;E</td>
<td valign="top" align="left">September 1997&#x2013;August 1998</td>
<td valign="top" align="left">Bulk deposition (leaching with HNO<sub>3</sub>)</td>
<td valign="top" align="center">0.47</td>
<td valign="top" align="center">0.07&#x2013;2.04</td>
<td valign="top" align="left"><xref ref-type="bibr" rid="B67">Tateda and Iwao, 2008</xref></td>
</tr>
<tr>
<td valign="top" align="left">Tsuyazaki, Japan</td>
<td valign="top" align="left">33.8&#x00B0;N</td>
<td valign="top" align="left">130.5&#x00B0;E</td>
<td valign="top" align="justify"/>
<td valign="top" align="justify"/>
<td valign="top" align="center">1.17</td>
<td valign="top" align="center">0.26&#x2013;3.47</td>
<td valign="top" align="justify"/>
</tr>
<tr>
<td valign="top" align="left">Akajima, Japan</td>
<td valign="top" align="left">26.2&#x00B0;N</td>
<td valign="top" align="left">127.3&#x00B0;E</td>
<td valign="top" align="justify"/>
<td valign="top" align="justify"/>
<td valign="top" align="center">0.51</td>
<td valign="top" align="center">0.04&#x2013;2.08</td>
<td valign="top" align="justify"/>
</tr>
<tr>
<td valign="top" align="left">Hakodate, Japan</td>
<td valign="top" align="left">41.8&#x00B0;N</td>
<td valign="top" align="left">140.7&#x00B0;E</td>
<td valign="top" align="left">January 1990&#x2013;June 1991</td>
<td valign="top" align="left">Wet deposition (no leaching)</td>
<td valign="top" align="center">1.61</td>
<td valign="top" align="center">0.22&#x2013;3.69</td>
<td valign="top" align="left"><xref ref-type="bibr" rid="B68">Tokieda et al., 1996</xref></td>
</tr>
<tr>
<td valign="top" align="left">Xiamen, China</td>
<td valign="top" align="left">24.4&#x00B0;N</td>
<td valign="top" align="left">118.1&#x00B0;E</td>
<td valign="top" align="left">March 2004&#x2013;April 2005</td>
<td valign="top" align="left">Bulk deposition (leaching with 0.2 M HCl)</td>
<td valign="top" align="center">1.13</td>
<td valign="top" align="center">0.07&#x2013;1.86</td>
<td valign="top" align="left"><xref ref-type="bibr" rid="B76">Yi et al., 2007</xref></td>
</tr>
<tr>
<td valign="top" align="left">Shanghai, China</td>
<td valign="top" align="left">31.2&#x00B0;N</td>
<td valign="top" align="left">121.4&#x00B0;E</td>
<td valign="top" align="left">November 2005&#x2013;October 2006</td>
<td valign="top" align="left">Bulk deposition (leaching with HNO<sub>3</sub>)</td>
<td valign="top" align="center">2.88</td>
<td valign="top" align="center">0.66&#x2013;7.30</td>
<td valign="top" align="left"><xref ref-type="bibr" rid="B14">Du et al., 2008</xref></td>
</tr>
<tr>
<td valign="top" align="left">Shanghai, China</td>
<td valign="top" align="left">31.2&#x00B0;N</td>
<td valign="top" align="left">121.4&#x00B0;E</td>
<td valign="top" align="left">December 2005&#x2013;December 2013</td>
<td valign="top" align="left">Bulk deposition (leaching with 0.2 M HNO<sub>3</sub>)</td>
<td valign="top" align="center">2.30</td>
<td valign="top" align="center">0.51&#x2013;5.99</td>
<td valign="top" align="left"><xref ref-type="bibr" rid="B13">Du et al., 2015</xref></td>
</tr>
<tr>
<td valign="top" align="left">East Sea</td>
<td/>
<td/>
<td valign="top" align="justify"/>
<td valign="top" align="left">Atmospheric model (<sup>222</sup>Rn)</td>
<td valign="top" align="left" colspan="2">0.99&#x2013;1.39</td>
<td valign="top" align="left"><xref ref-type="bibr" rid="B22">Henderson and Maier-Reimer, 2002</xref></td>
</tr>
<tr>
<td valign="top" align="left">East Sea</td>
<td/>
<td/>
<td valign="top" align="justify"/>
<td valign="top" align="left">Water column mass balance</td>
<td valign="top" align="left" colspan="2">1.37&#x2013;1.55</td>
<td valign="top" align="left">This study</td>
</tr>
</tbody>
</table></table-wrap>
<p>The residence time of <sup>210</sup>Pb in the water column can be calculated using Eq. (2):</p>
<disp-formula id="S4.Ex3">
<label>(2)</label>
<mml:math id="M3">
<mml:mrow>
<mml:mpadded width="+5.6pt">
<mml:mi mathvariant="normal">&#x03C4;</mml:mi>
</mml:mpadded>
<mml:mo>=</mml:mo>
<mml:mrow>
<mml:mtext> </mml:mtext>
<mml:mo>&#x2062;</mml:mo>
<mml:mpadded width="+5.6pt">
<mml:mfrac>
<mml:mn>1</mml:mn>
<mml:msub>
<mml:mtext>k</mml:mtext>
<mml:mrow>
<mml:mrow>
<mml:mtext>Pb</mml:mtext>
</mml:mrow>
<mml:mo>-</mml:mo>
<mml:mn>210</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mfrac>
</mml:mpadded>
</mml:mrow>
<mml:mo>=</mml:mo>
<mml:mrow>
<mml:mtext> </mml:mtext>
<mml:mo>&#x2062;</mml:mo>
<mml:mfrac>
<mml:msub>
<mml:mtext>A</mml:mtext>
<mml:mrow>
<mml:mrow>
<mml:mtext>Pb</mml:mtext>
</mml:mrow>
<mml:mo>-</mml:mo>
<mml:mn>210</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mrow>
<mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mtext>A</mml:mtext>
<mml:mrow>
<mml:mrow>
<mml:mtext>Ra</mml:mtext>
</mml:mrow>
<mml:mo>-</mml:mo>
<mml:mn>226</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2062;</mml:mo>
<mml:msub>
<mml:mi mathvariant="normal">&#x03BB;</mml:mi>
<mml:mrow>
<mml:mrow>
<mml:mtext>Pb</mml:mtext>
</mml:mrow>
<mml:mo>-</mml:mo>
<mml:mn>210</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mo>-</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mtext>A</mml:mtext>
<mml:mrow>
<mml:mrow>
<mml:mtext>Pb</mml:mtext>
</mml:mrow>
<mml:mo>-</mml:mo>
<mml:mn>210</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2062;</mml:mo>
<mml:msub>
<mml:mi mathvariant="normal">&#x03BB;</mml:mi>
<mml:mrow>
<mml:mrow>
<mml:mtext>Pb</mml:mtext>
</mml:mrow>
<mml:mo>-</mml:mo>
<mml:mn>210</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mrow>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mtext>F</mml:mtext>
<mml:mrow>
<mml:mtext>Atm</mml:mtext>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:mrow>
</mml:math>
</disp-formula>
<p>where &#x03C4; is the residence time of total <sup>210</sup>Pb. The residence times of total <sup>210</sup>Pb are estimated to be 4.8 &#x00B1; 1.2 years and 7.1 &#x00B1; 1.6 years in the 0&#x2013;1000 m and 0&#x2013;2000 m, respectively. The calculated result in this study (7 years, 0&#x2013;2000 m) is approximately 2.3 times lower than that in the <xref ref-type="bibr" rid="B48">Nozaki et al. (1973)</xref> (15 years; 0&#x2013;2000 m) from the same region. The different residence time of <sup>210</sup>Pb by <xref ref-type="bibr" rid="B48">Nozaki et al. (1973)</xref> is associated with the different atmospheric input term. <xref ref-type="bibr" rid="B48">Nozaki et al. (1973)</xref> assumed that approximately 2.0 dpm cm<sup>&#x2212;2</sup> y <sup>&#x2212;</sup> <sup>1</sup> of <sup>210</sup>Pb entered the East Sea from the atmosphere, and only a quarter of that (0.5 dpm cm<sup>&#x2212;2</sup> y <sup>&#x2212;</sup> <sup>1</sup>) was transported into the deeper layer. It resulted in the net removal flux of <sup>210</sup>Pb at 2000 m to be 0.8 dpm cm<sup>&#x2212;2</sup> y <sup>&#x2212;</sup> <sup>1</sup>, which is 2.5 times lower than the measured flux from the sediment trap (moored depth: 2000 m) (2.0 dpm cm<sup>&#x2212;2</sup> y <sup>&#x2212;</sup> <sup>1</sup>; this study) or sedimentation rates in this region (water depth: &#x223C;2200 m) (1.79 to 2.70 dpm cm<sup>&#x2212;2</sup> y <sup>&#x2212;</sup> <sup>1</sup>; <xref ref-type="bibr" rid="B25">Hong et al., 1997</xref>; <xref ref-type="bibr" rid="B26">Hong et al., 1999</xref>). Thus, our estimated residence time of <sup>210</sup>Pb in the East Sea, which is much shorter than the previous estimation, appears to be more reliable. The residence time of <sup>210</sup>Pb in the East Sea is 1.5&#x2013;15 times lower than that in the major oceans, such as the North Pacific (54 years, &#x223C;1800&#x2013;4000 m, <xref ref-type="bibr" rid="B11">Craig et al., 1973</xref>; 96 years, &#x223C;1000&#x2013;4000 m, <xref ref-type="bibr" rid="B47">Nozaki and Tsunogai, 1976</xref>), southeastern Pacific (95 years, &#x223C;0&#x2013;3700 m, <xref ref-type="bibr" rid="B42">Niedermiller and Baskaran, 2019</xref>), North Atlantic (15&#x2013;22 years, &#x223C;0&#x2013;3000 m, <xref ref-type="bibr" rid="B10">Cochran et al., 1990</xref>), and Indian Oceans (10&#x2013;15 years, &#x223C;500&#x2013;4000 m, <xref ref-type="bibr" rid="B50">Obata et al., 2004</xref>). The shorter residence time of <sup>210</sup>Pb in the water column of this sea seems to result in the lower concentrations of <sup>210</sup>Pb and Pb in the deep ocean, relative to other major oceans, although their atmospheric input fluxes were higher (e.g., <xref ref-type="bibr" rid="B1">Akata et al., 2008</xref>; <xref ref-type="bibr" rid="B56">Sakata and Asakura, 2009</xref>; <xref ref-type="bibr" rid="B13">Du et al., 2015</xref>). This was also evidenced by the fractionations of rare earth elements (<xref ref-type="bibr" rid="B62">Seo and Kim, 2020</xref>). The higher removal rates have been attributed to higher fluxes of sinking particles, which mainly consist of lithogenic materials and opal (&#x003E;80%) (<xref ref-type="bibr" rid="B36">Kim et al., 2020</xref>).</p>
</sec>
<sec id="S4.SS2">
<title>Atmospheric Input of Seawater-Dissolvable Pb</title>
<p>In order to calculate the atmospheric input of seawater-dissolvable Pb in the East Sea, we apply the residence time of dissolved <sup>210</sup>Pb in this study. Assuming that dissolved <sup>210</sup>Pb is about 80&#x2013;90% of total <sup>210</sup>Pb in the East Sea (<xref ref-type="bibr" rid="B37">Kim and Kim, 2012</xref>), the residence times of dissolved <sup>210</sup>Pb in this sea are estimated to be 4.0 &#x00B1; 1.0 years and 5.8 &#x00B1; 1.3 years in the 0&#x2013;1000 m and 0&#x2013;2000 m, respectively. The average annual atmospheric depositional flux of seawater-dissolvable Pb can be obtained by dividing the inventory of dissolved Pb by the residence time of dissolved <sup>210</sup>Pb. The Pb data of station E1 is excluded from this calculation because of the distinctly low concentrations in the 100&#x2013;150 m layer, which might be due to boundary scavenging.</p>
<p>The atmospheric input of seawater-dissolvable Pb is calculated to be 0.98 &#x00B1; 0.28 nmol cm<sup>&#x2212;2</sup> y <sup>&#x2212;</sup> <sup>1</sup>. Although Pb can be introduced into the East Sea from the adjacent continental shelf, including the East China Sea and the Yellow Sea, we exclude this source since the concentrations of dissolved Pb (0&#x2013;100 m) in the southern East Sea (stations S1, S4, E5, and E8; &#x223C;69 pmol kg <sup>&#x2212;</sup> <sup>1</sup>) were lower than those in the northern East Sea (stations M9, 40, 41, 134-3, 134-9, 144, and 12; &#x223C;78 pmol kg <sup>&#x2212;</sup> <sup>1</sup>). The atmospheric input of seawater-dissolvable Pb in the East Sea is distinctively higher than wet deposition of Pb in the remote oceans, including the North Pacific (0.05&#x2013;0.08 nmol cm<sup>&#x2212;2</sup> y <sup>&#x2212;</sup> <sup>1</sup>; <xref ref-type="bibr" rid="B63">Settle et al., 1982</xref>; <xref ref-type="bibr" rid="B15">Duce et al., 1991</xref>), North Atlantic (0.03&#x2013;0.46 nmol cm<sup>&#x2212;2</sup> y <sup>&#x2212;</sup> <sup>1</sup>; <xref ref-type="bibr" rid="B15">Duce et al., 1991</xref>; <xref ref-type="bibr" rid="B21">Helmers and Schrems, 1995</xref>; <xref ref-type="bibr" rid="B34">Kim et al., 1999</xref>), and North Indian Oceans (0.01 nmol cm<sup>&#x2212;2</sup> y <sup>&#x2212;</sup> <sup>1</sup>; <xref ref-type="bibr" rid="B15">Duce et al., 1991</xref>). Our calculated Pb flux is approximately 25% of the previously published fluxes around this region, which used the leaching method with nitric acid for precipitation samples collected on land (<xref ref-type="bibr" rid="B57">Sakata et al., 2006</xref>, <xref ref-type="bibr" rid="B58">2008</xref>; <xref ref-type="bibr" rid="B56">Sakata and Asakura, 2009</xref>; <xref ref-type="table" rid="T2">Table 2</xref>). Diluted nitric or hydrochloric acid has been widely used to desorb Pb from the particles in precipitation. We believe that the leaching method could overestimate the atmospheric depositional flux of seawater-dissolvable Pb since the much lower pH in this process than the actual pH of seawater can affect the solubility of Pb (<xref ref-type="bibr" rid="B8">Chester et al., 2000</xref>; <xref ref-type="bibr" rid="B40">Mart&#x00ED;n-Torre et al., 2015</xref>). Our results suggest that the application of <sup>210</sup>Pb provides a useful tool to estimate the flux of actual seawater-dissolvable Pb in the ocean. However, the estimated flux of seawater-dissolvable Pb in this study cannot distinguish the relative contribution of different origins of Pb (leaded gasoline, coal burning, and dust). Thus, future studies are necessary to determine the solubility of atmospheric Pb in the ocean according to its origins.</p>
<table-wrap position="float" id="T2">
<label>TABLE 2</label>
<caption><p>Comparison of atmospheric depositional fluxes of Pb (nmol cm<sup>&#x2212;2</sup> y <sup>&#x2212;</sup> <sup>1</sup>) around the East Sea.</p></caption>
<table cellspacing="5" cellpadding="5" frame="hsides" rules="groups">
<thead>
<tr>
<td valign="top" align="left"><bold>Study area</bold></td>
<td valign="top" align="left"><bold>Fraction</bold></td>
<td valign="top" align="left"><bold>Collection period</bold></td>
<td valign="top" align="center"><bold>Pb flux (nmol cm</bold><sup>&#x2212;</sup><bold><sup>2</sup> y</bold><sup>&#x2212;</sup><bold><sup>1</sup>)</bold></td>
<td valign="top" align="left"><bold>References</bold></td>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">Japan (10 sites)</td>
<td valign="top" align="left">Wet deposition (leaching with 0.3 M HNO<sub>3</sub>)</td>
<td valign="top" align="left">December 2003&#x2013;November 2004</td>
<td valign="top" align="center">2.26 &#x00B1; 1.50</td>
<td valign="top" align="left"><xref ref-type="bibr" rid="B57">Sakata et al., 2006</xref></td>
</tr>
<tr>
<td valign="top" align="left">Tokyo Bay</td>
<td valign="top" align="left">Wet deposition (leaching with 0.3 M HNO<sub>3</sub>)</td>
<td valign="top" align="left">December 2003&#x2013;November 2005</td>
<td valign="top" align="center">3.14 &#x00B1; 1.28</td>
<td valign="top" align="left"><xref ref-type="bibr" rid="B58">Sakata et al., 2008</xref></td>
</tr>
<tr>
<td valign="top" align="left">Sea coast of Japan (Noshiro)</td>
<td valign="top" align="left">Wet deposition (leaching with 0.3 M HNO<sub>3</sub>)</td>
<td valign="top" align="left">December 2002&#x2013;March 2006</td>
<td valign="top" align="center">4.34 &#x00B1; 1.42</td>
<td valign="top" align="left"><xref ref-type="bibr" rid="B56">Sakata and Asakura, 2009</xref></td>
</tr>
<tr>
<td valign="top" align="left">Sea coast of Japan (Nakanoto)</td>
<td valign="top" align="justify"/>
<td valign="top" align="justify"/>
<td valign="top" align="center">4.82 &#x00B1; 0.95</td>
<td valign="top" align="justify"/>
</tr>
<tr>
<td valign="top" align="left">Sea coast of Japan (Matsuura)</td>
<td valign="top" align="justify"/>
<td valign="top" align="justify"/>
<td valign="top" align="center">3.32 &#x00B1; 0.44</td>
<td valign="top" align="justify"/>
</tr>
<tr>
<td valign="top" align="left">East Sea</td>
<td valign="top" align="left">Actual dissolvable fraction into the seawater</td>
<td valign="top" align="left">&#x2013;</td>
<td valign="top" align="center">0.98 &#x00B1; 0.28</td>
<td valign="top" align="left">This study</td>
</tr>
</tbody>
</table></table-wrap>
</sec>
</sec>
<sec sec-type="conclusion" id="S5">
<title>Conclusion</title>
<p>The budget of <sup>210</sup>Pb in the East Sea is determined by measuring the activities of <sup>210</sup>Pb in seawater and sinking particles. Based on the different depths (1000 m or 2000 m) of the scavenging box model, the atmospheric input of <sup>210</sup>Pb is estimated to be 1.46 &#x00B1; 0.25 dpm cm<sup>&#x2212;2</sup> y <sup>&#x2212;</sup> <sup>1</sup>. Based on this atmospheric input of <sup>210</sup>Pb, the residence time of <sup>210</sup>Pb in the East Sea (0&#x2013;2000 m) is calculated to be 7.1 &#x00B1; 1.6 years, which is an order of magnitude lower than that in the major open oceans due to the efficient Pb removal in the East Sea. Combining this residence time and the concentrations of dissolved Pb, the atmospheric input of seawater-dissolvable Pb is calculated to be 0.98 &#x00B1; 0.28 nmol cm<sup>&#x2212;2</sup> y <sup>&#x2212;</sup> <sup>1</sup>, which is &#x223C;25% lower than the previous wet deposition results in this region. Thus, our results suggest that our approach, measuring the flux of seawater dissolvable Pb using the <sup>210</sup>Pb budget in the ocean, can be successfully used for other major oceans.</p>
</sec>
<sec sec-type="data-availability" id="S6">
<title>Data Availability Statement</title>
<p>The original contributions presented in the study are included in the article/<xref ref-type="supplementary-material" rid="DS1">Supplementary Material</xref>, further inquiries can be directed to the corresponding author.</p>
</sec>
<sec id="S7">
<title>Author Contributions</title>
<p>GK conceptualized the study. HS, Y-IK, and IK performed the field sampling and analyses. HS and GK interpreted the data and wrote the manuscript. All authors contributed to the final version of the manuscript.</p>
</sec>
<sec sec-type="COI-statement" id="conf1">
<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 sec-type="disclaimer" id="S8">
<title>Publisher&#x2019;s Note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
</body>
<back>
<sec sec-type="funding-information" id="S9">
<title>Funding</title>
<p>This research was supported by the project titled &#x201C;Deep Water Circulation and Material Cycling in the East Sea (20160400),&#x201D; funded by the Ministry of Oceans and Fisheries, South Korea, and the National Research Foundation of Korea (NRF) grant funded by the Korean government (MSIT; 2018R1A2B3001147).</p>
</sec>
<ack>
<p>We thank the crew members of R/V <italic>Akademik M.A. Lavrentyev</italic> and R/V <italic>Isabu</italic> for helping with the sampling. We also thank all lab members for their assistance.</p>
</ack>
<sec id="S10" sec-type="supplementary material"><title>Supplementary Material</title>
<p>The Supplementary Material for this article can be found online at: <ext-link ext-link-type="uri" xlink:href="https://www.frontiersin.org/articles/10.3389/fmars.2021.756076/full#supplementary-material">https://www.frontiersin.org/articles/10.3389/fmars.2021.756076/full#supplementary-material</ext-link></p>
<supplementary-material xlink:href="Table_1.xlsx" id="TS1" mimetype="application/vnd.openxmlformats-officedocument.spreadsheetml.sheet" xmlns:xlink="http://www.w3.org/1999/xlink"/>
<supplementary-material xlink:href="Data_Sheet_1.docx" id="DS1" mimetype="application/vnd.openxmlformats-officedocument.wordprocessingml.document" xmlns:xlink="http://www.w3.org/1999/xlink"/>
</sec>
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