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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Clim.</journal-id>
<journal-title>Frontiers in Climate</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Clim.</abbrev-journal-title>
<issn pub-type="epub">2624-9553</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.3389/fclim.2025.1649723</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Climate</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Assessing the limitations of commercial sensors and models for supporting marine carbon dioxide removal monitoring: a case study</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Stewart</surname>
<given-names>Tristen</given-names>
</name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
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<contrib contrib-type="author" corresp="yes">
<name>
<surname>Regier</surname>
<given-names>Peter</given-names>
</name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<xref ref-type="corresp" rid="c001"><sup>&#x002A;</sup></xref>
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<contrib contrib-type="author">
<name>
<surname>Hinson</surname>
<given-names>Kyle E.</given-names>
</name>
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<contrib contrib-type="author">
<name>
<surname>Torres Sanchez</surname>
<given-names>Carolina</given-names>
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<contrib contrib-type="author">
<name>
<surname>Mackay</surname>
<given-names>Quinn</given-names>
</name>
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<contrib contrib-type="author">
<name>
<surname>Ward</surname>
<given-names>Nicholas D.</given-names>
</name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
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<contrib contrib-type="author">
<name>
<surname>Cross</surname>
<given-names>Jessica N.</given-names>
</name>
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<aff id="aff1"><sup>1</sup><institution>Coastal Sciences Division, Pacific Northwest National Laboratory</institution>, <addr-line>Sequim, WA</addr-line>, <country>United States</country></aff>
<aff id="aff2"><sup>2</sup><institution>School of Oceanography, University of Washington</institution>, <addr-line>Seattle, WA</addr-line>, <country>United States</country></aff>
<author-notes>
<fn fn-type="edited-by" id="fn0001">
<p>Edited by: <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/2904602/overview">Xinyu Li</ext-link>, Cooperative Institution of Climate, Ocean and Ecosystem Studies, University of Washington, United States</p>
</fn>
<fn fn-type="edited-by" id="fn0002">
<p>Reviewed by: <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/704865/overview">Stephen F. Gonski</ext-link>, University of Delaware, United States</p>
<p><ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/3058000/overview">Zhentao Sun</ext-link>, University of Delaware, United States</p>
</fn>
<corresp id="c001">&#x002A;Correspondence: Peter Regier, <email>peter.regier@pnnl.gov</email></corresp>
</author-notes>
<pub-date pub-type="epub">
<day>03</day>
<month>11</month>
<year>2025</year>
</pub-date>
<pub-date pub-type="collection">
<year>2025</year>
</pub-date>
<volume>7</volume>
<elocation-id>1649723</elocation-id>
<history>
<date date-type="received">
<day>18</day>
<month>06</month>
<year>2025</year>
</date>
<date date-type="accepted">
<day>10</day>
<month>10</month>
<year>2025</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#x00A9; 2025 Stewart, Regier, Hinson, Torres Sanchez, Mackay, Ward and Cross.</copyright-statement>
<copyright-year>2025</copyright-year>
<copyright-holder>Stewart, Regier, Hinson, Torres Sanchez, Mackay, Ward and Cross</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>Several unknowns remain surrounding marine Carbon Dioxide Removal (mCDR) monitoring, reporting, and verification (MRV) practices and capabilities. Current <italic>in-situ</italic> sensor technology is limited (primarily pH and <italic>p</italic>CO<sub>2</sub>), requiring calculations and assumptions to estimate changes in carbonate chemistry parameters, including total alkalinity (TA). Considering that cost, energy consumption, and accuracy of commercial sensors can vary by orders of magnitude, understanding how well existing sensors perform in an mCDR context is important for this emerging community. Likewise, documenting sensor limitations and how relatively simple models can optimize sensor deployments will improve MRV efforts and support protocol development. Here we (1) compare performance a variety of commercially available sensors in a blind mesocosm experiment simulating ocean alkalinity enhancement (OAE), and how sensor performance impacted carbonate chemistry estimates; (2) evaluate if sensors can distinguish the OAE signal from natural variability during a small scale OAE field test in Sequim Bay, WA, USA, and (3) use an idealized ocean biogeochemistry model to explore optimal sensor network design based on (1) and (2). Our mesocosm results indicate that correctly constraining pH uncertainty will be critical for accurate TA estimates with current sensor technology compared to the less impactful variation caused by uncertainty in <italic>p</italic>CO<sub>2</sub> (pH data that are presented throughout are reported on the total scale (pH<sub>T</sub>) unless otherwise noted). Our pilot field test demonstrated that sensors were capable of distinguishing mCDR signatures from natural variability under optimal real-world conditions. Idealized modeling simulations of the field test showed that a range of sparse and dense (3 to 100) sensors sampling areas of detectable increases will underestimate the net change in surface pH by at least 35&#x2013;55%, at both realistic and highly elevated alkalinity input levels. We also highlight the limitations of current sensing technology for MRV, and the importance of ocean biogeochemistry models as critical tools for predicting when and where mCDR signals will be detectable using available sensors. Overall, our findings suggest that commercially available <italic>p</italic>CO<sub>2</sub> sensors and some pH sensors will form an important backbone for mCDR MRV tasks, though complete MRV characterization will require these data to be used in combination with other tools.</p>
</abstract>
<kwd-group>
<kwd>aquatic sensors</kwd>
<kwd>biogeochemical models</kwd>
<kwd>ocean alkalinity enhancement</kwd>
<kwd>monitoring</kwd>
<kwd>reporting</kwd>
<kwd>verification</kwd>
<kwd>marine carbon dioxide removal</kwd>
</kwd-group>
<counts>
<fig-count count="8"/>
<table-count count="3"/>
<equation-count count="0"/>
<ref-count count="77"/>
<page-count count="17"/>
<word-count count="14032"/>
</counts>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-at-acceptance</meta-name>
<meta-value>Carbon Dioxide Removal</meta-value>
</custom-meta>
</custom-meta-wrap>
</article-meta>
</front>
<body>
<sec id="sec1">
<label>1</label>
<title>Background/introduction</title>
<p>Marine carbon dioxide removal (mCDR) comprises a collection of techniques designed to durably store (&#x003E;100&#x202F;years) atmospheric carbon dioxide (CO<sub>2</sub>) in marine settings and/or directly capture CO<sub>2</sub> from seawater. Establishing mCDR carbon markets and understanding potential environmental impacts will require both advancing mCDR technologies to field deployment scales as well as refining monitoring, reporting, and verification (MRV) protocols that rely on both measurements and models.</p>
<p>Ocean alkalinity enhancement (OAE) facilitates the oceanic uptake of atmospheric CO<sub>2</sub> through the addition of alkalinity that can be generated electrochemically or through the addition of minerals like olivine and calcite (<xref ref-type="bibr" rid="ref62">Renforth and Henderson, 2017</xref>). Mineral-based alkalinity generation enhances natural weathering cycles by returning ground minerals to the ocean to release alkaline molecules as they dissolve; this enhanced mineral weathering for CO<sub>2</sub> sequestration is being assessed for coastal and open ocean applications (<xref ref-type="bibr" rid="ref25">Feng et al., 2017</xref>; <xref ref-type="bibr" rid="ref36">Ilyina et al., 2013</xref>; <xref ref-type="bibr" rid="ref40">K&#x00F6;hler et al., 2010</xref>; <xref ref-type="bibr" rid="ref46">Meysman and Montserrat, 2017</xref>; <xref ref-type="bibr" rid="ref50">Montserrat et al., 2017</xref>). While alkaline rocks are readily abundant on Earth, logistical constraints related to mining, transportation, and milling large quantities of minerals to an appropriate grain size represent unresolved hurdles that may limit the extent of CO<sub>2</sub> removal from the overall process (<xref ref-type="bibr" rid="ref61">Rau et al., 2007</xref>). By contrast, electrochemical methods (e.g., electrolysis, electrodialysis) can be used to produce aqueous hydroxides, including sodium hydroxide (NaOH), directly from seawater (<xref ref-type="bibr" rid="ref24">Eisaman et al., 2012</xref>; <xref ref-type="bibr" rid="ref23">Eisaman, 2024</xref>; <xref ref-type="bibr" rid="ref41">Lannoy et al., 2018</xref>). The alkaline solution can then be returned to the ocean, thereby shifting the carbonate system and allowing for the uptake of atmospheric CO<sub>2</sub>. The byproduct of this OAE approach is dilute acid removed from seawater, generally in the form of HCl (<xref ref-type="bibr" rid="ref23">Eisaman, 2024</xref>), which can be used for a variety of potential applications such as replacing industrially-produced acids (<xref ref-type="bibr" rid="ref28">Ferella et al., 2025</xref>). While electrodialysis-based mCDR trials remain in their early stages, field sites and research centers are emerging (<xref ref-type="bibr" rid="ref10">Burt et al., 2024</xref>), especially given the high potential scalability and durability of carbon stored (<xref ref-type="bibr" rid="ref1">Agbo et al., 2024</xref>; <xref ref-type="bibr" rid="ref14">Cross et al., 2023</xref>). Accordingly, this case study focused on electrochemically generated NaOH from a bipolar membrane electrodialysis system (<xref ref-type="bibr" rid="ref41">Lannoy et al., 2018</xref>; <xref ref-type="bibr" rid="ref64">Savoie et al., 2025</xref>).</p>
<p>Despite the theoretical promise of OAE, the early stages of MRV development will be critical for OAE research, environmental impact monitoring, and ultimately, for markets (<xref ref-type="bibr" rid="ref20">Doney et al., 2024</xref>; <xref ref-type="bibr" rid="ref33">Ho et al., 2023</xref>). Monitoring mCDR will be needed to quantify the additional removal of CO<sub>2</sub> outside of a baseline scenario (<xref ref-type="bibr" rid="ref20">Doney et al., 2024</xref>), regardless of the scale of deployment. However, there are currently numerous unknowns relating to monitoring and a need for established MRV protocols (<xref ref-type="bibr" rid="ref21">Duke et al., 2023</xref>; <xref ref-type="bibr" rid="ref57">Oschlies et al., 2023</xref>). The majority of MRV frameworks for OAE suggest the need for marine carbonate system data and improvements to sensors and ocean biogeochemical models (<xref ref-type="bibr" rid="ref5">Bresnahan et al., 2023</xref>; <xref ref-type="bibr" rid="ref7">Briciu-Burghina et al., 2023</xref>; <xref ref-type="bibr" rid="ref21">Duke et al., 2023</xref>; <xref ref-type="bibr" rid="ref73">Wang et al., 2019</xref>) including the development of a strong monitoring program (<xref ref-type="bibr" rid="ref14">Cross et al., 2023</xref>; <xref ref-type="bibr" rid="ref57">Oschlies et al., 2023</xref>).</p>
<p>Effectively measuring OAE to meet MRV requirements for a viable carbon market requires the ability to constrain observed changes in carbonate chemistry. This can be accomplished by directly measuring the impacts of marine carbonate system parameters, including total alkalinity (TA) and dissolved inorganic carbon (DIC), to constrain the uptake efficiency of atmospheric CO<sub>2.</sub> To adequately capture changes in the marine carbonate system and the associated environment driven by mCDR interventions, a combination of monitoring methods that capture these responses at relevant spatial and temporal scales will be required. At a minimum, this will likely include <italic>in-situ</italic> water monitoring using autonomous sensors and biogeochemical modeling. However, both TA and DIC are currently only measurable in a laboratory setting, limiting the temporal and spatial resolution of measurements. It should be noted that a few <italic>in-situ</italic> alkalinity sensors are in development, but are typically not as mature or commercially available compared to the other sensors discussed here (<xref ref-type="bibr" rid="ref9">Briggs et al., 2017</xref>, <xref ref-type="bibr" rid="ref8">2020</xref>; <xref ref-type="bibr" rid="ref65">Shangguan et al., 2021</xref>). Alternatively, commercially available <italic>in-situ</italic> sensors for monitoring the partial pressure of CO<sub>2</sub> (<italic>p</italic>CO<sub>2</sub>) and pH can help constrain the marine carbonate system. Although this approach enables high-frequency data collection, the estimates of marine carbonate chemistry from these sensor measurements typically carry substantial uncertainty and may therefore be inadequate for capturing changes in TA due to mCDR interventions in coastal systems. Numerical simulations are therefore likely also required for the development and refinement of mCDR MRV procedures (<xref ref-type="bibr" rid="ref33">Ho et al., 2023</xref>). Monitoring will likely rely heavily on biogeochemical models and mixing zone models to adequately predict CO<sub>2</sub> removal and environmental implications (<xref ref-type="bibr" rid="ref26">Fennel et al., 2023</xref>; <xref ref-type="bibr" rid="ref33">Ho et al., 2023</xref>). Well-validated models can be used to inform monitoring gaps, predict responses from OAE applications, and aid in understanding environmental changes in relation to OAE deployments.</p>
<p>Several unknowns remain around field trials and deployment-scale applications of mCDR (<xref ref-type="bibr" rid="ref16">Cyronak et al., 2023</xref>), including monitoring limitations, sensor performance, and energy consumption needs. While previous work has summarized available marine sensors (<xref ref-type="bibr" rid="ref7">Briciu-Burghina et al., 2023</xref>) and sensor technology for ocean acidification (OA) research (<xref ref-type="bibr" rid="ref44">Martz et al., 2015</xref>; <xref ref-type="bibr" rid="ref63">Sastri et al., 2019</xref>), limited research has been conducted on sensor performance under mCDR scenarios. Additionally, some research has explored a range of renewable energy sources, including marine energy (e.g., wave or tidal), that may be feasible for either powering mCDR itself or the tools used for MRV (<xref ref-type="bibr" rid="ref13">Cotter et al., 2021</xref>; <xref ref-type="bibr" rid="ref54">Niffenegger et al., 2023</xref>). Considering the goal of mCDR is net CO<sub>2</sub> uptake, the energy consumption and carbon footprint for all steps of the process must be considered, including the measurements we make to evaluate an intervention&#x2019;s effectiveness.</p>
<p>This study explores how commercially available <italic>p</italic>CO<sub>2</sub> and pH sensors and modeling can be used effectively for monitoring the efficacy of mCDR in dynamic coastal environments. We first conducted a blind mesocosm experiment (sensors not explicitly identified) to assess sensor performance and power consumption in a closed system, and establish relationships between sensor performance and estimates of marine carbonate chemistry uncertainty. We next conducted a field test as a proof-of-concept study to assess the detection limits of current sensor technology from point source interventions in real-world conditions within a complex coastal ecosystem. Finally, we used sensor performance metrics from the mesocosm experiment and release metrics from the field test to parameterize an idealized model. These model results were used to guide potential sensor deployments and better quantify sensor limitations and the ability to capture the efficiency and impacts of OAE in a small coastal environment.</p>
</sec>
<sec sec-type="methods" id="sec2">
<label>2</label>
<title>Methods</title>
<sec id="sec3">
<label>2.1</label>
<title>Site description</title>
<p>This case study focuses on Sequim Bay (WA, United States). Sequim Bay is a semi-enclosed tidally influenced basin in the Greater Puget Sound. The study was based out of the Pacific Northwest National Laboratory (PNNL)&#x2019;s Sequim campus (PNNL-Sequim, <xref ref-type="fig" rid="fig1">Figure 1A</xref>) in western Washington state. PNNL-Sequim laboratories are situated along the Sequim Bay shoreline and are plumbed with raw and filtered seawater that is pumped directly from the Bay. Ambient Sequim Bay seawater and environmental conditions were utilized throughout the mesocosm experiment, field test, and modeling study (sections 2.2, 2.3, and 2.4, respectively).</p>
<fig position="float" id="fig1">
<label>Figure 1</label>
<caption>
<p><bold>(A)</bold> Map of Sequim Bay channel and PNNL-Sequim. <bold>(B)</bold> Laboratory mesocosm used for both the sensor experiment and for the field experiment. <bold>(C)</bold> Deployment of YSI EXO2 pH sensor 15&#x2013;20&#x202F;cm from outfall pipes in the Sequim Bay channel.</p>
</caption>
<graphic xlink:href="fclim-07-1649723-g001.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">Panel A shows a satellite map of the PNNL Sequim area and Travis Spit with marked locations of outfall and sensors. Panel B displays a laboratory setup with equipment around a large water tank. Panel C depicts an underwater environment with a structure holding coral and marine equipment secured by yellow straps.</alt-text>
</graphic>
</fig>
<p>Sequim Bay is a fjord-like tidally influenced semi-enclosed basin in the Pacific Northwest with a single narrow inlet at the northernmost point of the bay (<xref ref-type="fig" rid="fig1">Figure 1A</xref>). It has minimal freshwater influence and flushes at an approximate rate of once every 10&#x202F;days (<xref ref-type="bibr" rid="ref39">Khangaonkar et al., 2024</xref>). Tidal exchange in Sequim Bay averages ~2.5&#x202F;m but can increase to more than 3&#x202F;m during peak spring tides that result in tidal currents that can reach 2&#x202F;m&#x202F;s<sup>&#x2212;1</sup>. Temperature and salinity in the Bay vary annually, and range between 29 and 32 PSU and 6&#x2013;12&#x202F;&#x00B0;C, respectively. Values for pH<sub>NBS</sub> generally range from 7.6 to 8.3, depending on time of year and tidal conditions (<xref ref-type="bibr" rid="ref38">Jones et al., 2025</xref>).</p>
<p>The mixing and dilution controls relating to alkalinity enhancement have been previously modeled in Sequim Bay (<xref ref-type="bibr" rid="ref39">Khangaonkar et al., 2024</xref>). Sequim Bay is a unique location for testing point source release OAE due to its narrow inlet and high tidal currents that can potentially act to spread an alkaline plume over a large surface area, thereby increasing contact with the atmosphere. However, these rapid currents do not guarantee any confinement of elevated alkaline water at the surface, which poses challenges for determining the timing and location of an ideal release point.</p>
</sec>
<sec id="sec4">
<label>2.2</label>
<title>Mesocosm sensors experiment</title>
<p>We conducted a mesocosm experiment to assess the performance of five commercially available pH sensors (Sunburst iSAMI, Seabird HydroCAT, Idronaut OS315, Yellow Springs Instruments (YSI) EXO2, and YSI ProDSS) and two commercially available <italic>p</italic>CO<sub>2</sub> sensors (Turner C-Sense and Batelle MAPCO<sub>2</sub>/ASVCO<sub>2</sub>) for monitoring alkalinity releases in coastal marine waters (<xref ref-type="table" rid="tab1">Table 1</xref>). PNNL&#x2019;s policy prohibits endorsement of commercial products; therefore, sensor manufacturers will not be explicitly linked to a specific sensor-measured data set in the mesocosm experiment. The sensors in the mesocosm experiment will be referred to as Sensors 1&#x2013;5 from this point forward (<xref ref-type="table" rid="tab1">Table 1</xref>). A 4000&#x202F;L mesocosm tank was filled with raw Sequim Bay seawater and mixed continuously by two submersible bilge pumps placed in the tank on opposite ends (<xref ref-type="fig" rid="fig1">Figure 1B</xref>). All sensors were placed in the tank prior to the atmospheric pre-equilibration period and located in the same area within the tank. Atmospheric pre-equilibration of Sequim Bay seawater in the tank lasted 5&#x202F;days before starting the experiment, allowing the sensors&#x2019; response to tank water to stabilize. Alkalinity (9.03&#x202F;L of 0.5&#x202F;M NaOH) was then added to the tank as a single dose, which was monitored for 28&#x202F;days, until it reached near atmospheric equilibration in terms of <italic>p</italic>CO<sub>2</sub> values. After the 28 day, the sensors were removed and all data were exported for analysis.</p>
<table-wrap position="float" id="tab1">
<label>Table 1</label>
<caption>
<p>Sensors used in the mesocosm experiment, including their estimated cost, relative accuracy based on mesocosm measurements (based on differences from Sensor 4, which was used as the reference), stability based on variance in hourly mesocosm measurements during the end of the experiment when values were most stable, and estimated power consumption.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top" colspan="8">Sensors used to measure pH during the alkalinity addition experiment</th>
</tr>
<tr>
<th align="left" valign="top">Sensor number</th>
<th align="center" valign="top">Est. cost</th>
<th align="center" valign="top">Measured accuracy</th>
<th align="center" valign="top">Measured stability</th>
<th align="center" valign="top">Est. power consumption</th>
<th align="center" valign="top">Max Sampling Rate</th>
<th align="center" valign="top">Response Time</th>
<th align="center" valign="top">Measurement Range (pH<sub>T</sub>)</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="bottom">Sensor 1</td>
<td align="center" valign="bottom">$$$</td>
<td align="center" valign="bottom">0.04</td>
<td align="center" valign="bottom">0.010</td>
<td align="center" valign="bottom">80&#x202F;mW&#x002A;</td>
<td align="center" valign="bottom">1&#x202F;s</td>
<td align="center" valign="bottom">3&#x202F;s</td>
<td align="center" valign="bottom">0&#x2013;14</td>
</tr>
<tr>
<td align="left" valign="bottom">Sensor 2</td>
<td align="center" valign="bottom">$$$</td>
<td align="center" valign="bottom">0.04</td>
<td align="center" valign="bottom">0.005</td>
<td align="center" valign="bottom">170&#x202F;mW&#x002A;&#x002A;</td>
<td align="center" valign="bottom">6&#x202F;min</td>
<td align="center" valign="bottom">not provided</td>
<td align="center" valign="bottom">0&#x2013;14</td>
</tr>
<tr>
<td align="left" valign="bottom">Sensor 3</td>
<td align="center" valign="bottom">$$</td>
<td align="center" valign="bottom">0.07</td>
<td align="center" valign="bottom">0.113</td>
<td align="center" valign="bottom">100&#x202F;mW&#x002A;</td>
<td align="center" valign="bottom">15&#x202F;min</td>
<td align="center" valign="bottom">3&#x202F;min</td>
<td align="center" valign="bottom">7&#x2013;9</td>
</tr>
<tr>
<td align="left" valign="bottom">Sensor 4</td>
<td align="center" valign="bottom">$$$</td>
<td align="center" valign="bottom">reference</td>
<td align="center" valign="bottom">0.016</td>
<td align="center" valign="bottom">2,500&#x202F;mW&#x002A;</td>
<td align="center" valign="bottom">&#x003C;1&#x202F;s</td>
<td align="center" valign="bottom">3&#x202F;s</td>
<td align="center" valign="bottom">0&#x2013;14</td>
</tr>
<tr>
<td align="left" valign="bottom">Sensor 5</td>
<td align="center" valign="bottom">$$</td>
<td align="center" valign="bottom">0.09</td>
<td align="center" valign="bottom">0.015</td>
<td align="center" valign="bottom">not provided</td>
<td align="center" valign="bottom">1&#x202F;s</td>
<td align="center" valign="bottom">3&#x202F;s</td>
<td align="center" valign="bottom">0&#x2013;14</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p>$$&#x202F;=&#x202F;5-10&#x202F;k (USD), $$$&#x202F;=&#x202F;10-20&#x202F;k (USD), &#x002A;measured, &#x002A;&#x002A;estimated from manual. Max sampling rate, measurement range, and sensor response time were collected from sensor specification sheets. The sampling rate may exceed the sensor response time for some sensors as they are multiparameter sondes. Sensors in the mesocosm experiment were all set to log at 1-h frequencies. All values in the table are referencing the pH Total scale.</p>
</table-wrap-foot>
</table-wrap>
<p>All pH sensors across all experiments were calibrated to manufacturer specifications before and after deployment. pH Sensor 4 was calibrated with Tris buffer solution, in artificial seawater of salinity 35 [acquired from the Scripps Institution of Oceanography (La Jolla, CA, United States)], per manufacturer recommendations and measured pH on the total scale (pH<sub>T</sub>). Sensor 3 was factory calibrated and measured pH on the total scale. All other pH sensors, measuring pH on the NBS scale (pH<sub>NBS</sub>), were calibrated using a three-point calibration with National Institute of Standards and Technology (NIST) low ionic strength buffers at pH 4, 7, and 10. Pre and post-calibration values were compared to assess drift in sensor calibrations over the course of the experiment. All pH sensors were set to log at hourly intervals for the mesocosm experiment, with the exception of a hand-held sensor, which we used to measure pH twice daily during weekdays. Additionally, all pH sensor data not measured in pH<sub>T</sub> were converted to the total scale following methods outlined by the seacarb R package (<xref ref-type="bibr" rid="ref30">Gattuso et al., 2024</xref>) by first converting to seawater scale (SWS), then converting to total scale, and will be presented throughout the manuscript as pH<sub>T</sub>, unless otherwise stated. One <italic>p</italic>CO<sub>2</sub> sensor had a continuous gas reference and did not require calibration, while the other sensors&#x2019; response was calibrated against a 411&#x202F;ppm CO<sub>2</sub> reference gas standard prior to the experiment. The <italic>p</italic>CO<sub>2</sub> sensors were set to log at 3-h intervals during the mesocosm experiment.</p>
<p>To provide a ground truth for pH measurements, discrete samples for DIC and TA were collected daily in 250&#x202F;mL glass bottles from the mesocosm tank, referencing methods from <xref ref-type="bibr" rid="ref19">Dickson et al., 2007</xref>. Samples were preserved with 100&#x202F;&#x03BC;L of HgCl<sub>2</sub> and analyzed via an Apollo SciTech Total Alkalinity Titrator (AS-ALK3) and Dissolved Inorganic Carbon Analyzer (AS-C6L), referenced against certified reference materials (CRMs). CRMs were run before and after TA and DIC sample analysis, resulting in a precision of &#x00B1; 1&#x202F;&#x03BC;mol&#x202F;kg<sup>&#x2212;1</sup> for both parameters. pH<sub>T</sub> was then calculated from the DIC and TA samples using the seacarb R package (<xref ref-type="bibr" rid="ref30">Gattuso et al., 2024</xref>) referencing K1 and K2 dissociation constants from <xref ref-type="bibr" rid="ref42">Lueker et al., 2000</xref>. The bisulfate dissociation constant from <xref ref-type="bibr" rid="ref18">Dickson (1990)</xref> and total boron from <xref ref-type="bibr" rid="ref70">Uppstr&#x00F6;m (1974)</xref> were also used in the pH<sub>T</sub> calculations.</p>
</sec>
<sec id="sec5">
<label>2.3</label>
<title>Field test: Sequim Bay release</title>
<p>To test if alkalinity additions could be detected under real-world conditions and distinguished from natural variability, we conducted an alkalinity release from the PNNL-Sequim wastewater treatment facility&#x2019;s outfall into Sequim Bay on February 7, 2025 (<xref ref-type="fig" rid="fig1">Figures 1A</xref>,<xref ref-type="fig" rid="fig1">C</xref>). (In this context, we use the term &#x201C;test&#x201D; deliberately: test deployments assess a single component or mechanism that is part of a larger technology or technical system, as here we test the capability of a particular sensor deployment configuration to detect discharge. A field trial, by contrast, is a rigorous performance evaluation of a well-established and previously demonstrated technology or technical system. A field trial would comprise a much longer and larger study across a series of discharges than was conducted by this study.) The same tank used in the mesocosm experiment was filled and maintained at a constant level with flowing raw seawater that was dosed with 0.5&#x202F;M NaOH via a peristaltic pump at a rate that could maintain a pH<sub>NBS</sub>&#x202F;&#x2264;&#x202F;9.0 (as listed in NPDES permits). The outlet of the tank was plumbed into a wastewater treatment system where the pH was monitored and confirmed not to exceed a pH<sub>NBS</sub> of approximately 9 (~8.9 pH<sub>T</sub>) to maintain compliance with wastewater treatment facility discharge permits. The wastewater treatment system consisted of four cells that were sequentially filled with the effluent from the mesocosm experimental tank that connected to an outfall pipe in Sequim Bay. A total volume of 381&#x202F;L (251&#x202F;mol) of NaOH was diluted with ~180,000&#x202F;L of ambient seawater, which was released from the outfall in four pulses, each separated by an hour, for a total of 8&#x202F;h. Average flow conditions characterized by a&#x202F;~&#x202F;2.5&#x202F;m tidal exchange were observed during the release period, which allowed for a representative assessment of detection limits in this region.</p>
<p>We monitored the response in Sequim Bay to our pilot alkalinity release using a YSI EXO2 Sonde pH sensor attached directly to the outfall approximately 15&#x2013;20&#x202F;cm from the pipes (<xref ref-type="fig" rid="fig1">Figure 1C</xref>). The sensor was calibrated before and after deployment to the manufacturer&#x2019;s recommendations, via the same methods listed in Section 2.2 for a three-point calibration, to account for drift and verify accuracy. The EXO sensor was installed 3&#x202F;days before the release and recovered 9&#x202F;days after the release. These data and a complete description of the field test methods are described by <xref ref-type="bibr" rid="ref64">Savoie et al., 2025</xref>.</p>
</sec>
<sec id="sec6">
<label>2.4</label>
<title>Idealized modeling experiments</title>
<p>We developed a simplified model based on Sequim Bay to explore the capabilities of multiple sensors to inform MRV efforts in a relevant coastal environment. These model scenarios were designed to quantify the MRV capabilities of commercially available sensors by incorporating (a) sensor performance metrics from the mesocosm experiment (Section 2.2) and (b) a similar-scale alkalinity release to the field test (Section 2.3). Averaged model outputs over a region of a detectable plume area were compared to model outputs sampled at discrete locations within said plume, mimicking the deployment of commercial sensors. This analysis provided a framework for assessing sensor capabilities to capture dilution and advection of an alkalinity release in a simplified channel that mirrors our field test environment.</p>
<p>The idealized model was developed within the Regional Ocean Modeling System (ROMS) framework (<xref ref-type="bibr" rid="ref67">Shchepetkin and McWilliams, 2005</xref>) based on the marine carbonate system characteristics that roughly correspond to average Sequim Bay conditions (<xref ref-type="fig" rid="fig2">Figure 2</xref>). The idealized domain was developed with sloping boundaries in the across-channel direction and a maximum depth of 40&#x202F;m to generally represent this type of coastal environment (<xref ref-type="fig" rid="fig2">Figure 2</xref>). This model grid has an average horizontal spatial resolution of ~60&#x202F;m, an open boundary at the northern end of the simplified domain, a diurnally varying wind equal to &#x00B1; 2&#x202F;m&#x202F;s<sup>&#x2212;1</sup> in the across-channel direction and &#x00B1; 0.5&#x202F;m&#x202F;s<sup>&#x2212;1</sup> in the along-channel direction, and a regular tidal exchange of 3.5&#x202F;m that is representative of regional tidal dynamics. Model outputs were saved every 2&#x202F;h, and the barotropic time step was set to 20&#x202F;s. Biogeochemical processes in this model are simplified and essentially contain only variables necessary for marine carbonate chemistry (i.e., model state variables include carbonate (CO<sub>3</sub><sup>2&#x2212;</sup>), bicarbonate (HCO<sub>3</sub><sup>&#x2212;</sup>), and total alkalinity (TA)). Total alkalinity is represented as carbonate alkalinity (computed as the sum of CO<sub>3</sub><sup>2&#x2212;</sup> and HCO<sub>3</sub><sup>&#x2212;</sup>) and is permitted to equilibrate with a constant atmospheric CO<sub>2</sub> concentration of 422.5&#x202F;ppm according to a standard ROMS subroutine (<xref ref-type="bibr" rid="ref27">Fennel et al., 2008</xref>).</p>
<fig position="float" id="fig2">
<label>Figure 2</label>
<caption>
<p>Sequim Bay, WA, idealized model domain with sloping walls and a maximum depth of 40 meters. <bold>(A)</bold> Plan view of surface salinity, constant with depth. <bold>(B)</bold> Along channel slice of model temperature.</p>
</caption>
<graphic xlink:href="fclim-07-1649723-g002.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">Panel (A) shows a gradient chart of surface salinity along the channel, ranging from 29.5 to 32.0, with distance measured in kilometers. Panel (B) displays a depth-temperature chart across the channel, with depth in meters and temperature ranging from 8 to 13 degrees Celsius.</alt-text>
</graphic>
</fig>
<p>The model was initialized from rest with a latitudinal salinity gradient and a vertical temperature gradient representative of average Sequim Bay conditions (29&#x2013;32 PSU and 6&#x2013;12&#x202F;&#x00B0;C, respectively, <xref ref-type="fig" rid="fig2">Figure 2</xref>). Vertically varying biogeochemical values (higher at the surface, lower at the bottom) were applied throughout the domain at the initial time step (DIC&#x202F;=&#x202F;2,110&#x2013;2,350&#x202F;&#x03BC;mol&#x202F;kg<sup>&#x2212;1</sup>, HCO<sub>3</sub><sup>&#x2212;</sup>, = 1800&#x2013;2000&#x202F;&#x03BC;mol&#x202F;kg<sup>&#x2212;1</sup>, CO<sub>3</sub><sup>2&#x2212;</sup>&#x202F;=&#x202F;158&#x2013;176&#x202F;&#x03BC;mol&#x202F;kg<sup>&#x2212;1</sup>, TA&#x202F;=&#x202F;2,250&#x202F;&#x03BC;mol&#x202F;kg<sup>&#x2212;1</sup>). These initial conditions were mirrored by the same constant open boundary conditions throughout the simulation. Two baseline simulations, with and without tidal exchanges, were first conducted over a period of 31&#x202F;days to quantify the influence of open boundary changes on DIC and TA (S&#x202F;=&#x202F;32, T&#x202F;=&#x202F;9&#x202F;&#x00B0;C). The closed boundary baseline experiment (&#x2018;Baseline Closed&#x2019;, <xref ref-type="table" rid="tab2">Table 2</xref>), while unrealistic in a marine system, essentially provides an upper limit on the capabilities of sensors to track changes to DIC and TA in a given domain and demonstrates the impact of natural variability in this region. Because the &#x2018;Baseline Open&#x2019; experiment added no alkalinity, all changes to inorganic carbon in the model domain can be attributed to exchange processes with the open boundary (constant average DIC of 2,233&#x202F;&#x03BC;mol&#x202F;kg<sup>&#x2212;1</sup>).</p>
<table-wrap position="float" id="tab2">
<label>Table 2</label>
<caption>
<p>Model experimental scenarios and descriptions.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top">Experiment</th>
<th align="center" valign="top"><italic>n</italic> open boundaries</th>
<th align="left" valign="top">Alkalinity Added (mol&#x202F;m<sup>&#x2212;2</sup> s<sup>&#x2212;1</sup>)</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top">Baseline closed</td>
<td align="center" valign="top">0</td>
<td align="left" valign="top">0</td>
</tr>
<tr>
<td align="left" valign="top">Baseline open</td>
<td align="center" valign="top">1</td>
<td align="left" valign="top">0</td>
</tr>
<tr>
<td align="left" valign="top">Alk closed</td>
<td align="center" valign="top">0</td>
<td align="left" valign="top">SBR field test Amt., 2x, 5x, 10x, 20x, 50x, 100x</td>
</tr>
<tr>
<td align="left" valign="top">Alk open</td>
<td align="center" valign="top">1</td>
<td align="left" valign="top">SBR field test Amt., 2x, 5x, 10x, 20x, 50x, 100x</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p>Alkalinity release amounts are based on the Sequim Bay field test discharge (251 mols alkalinity) and were increasingly scaled within both a closed model domain and open domain representative of a coastal inlet.</p>
</table-wrap-foot>
</table-wrap>
<p>Several modeling experiments were also conducted that increased alkalinity in a manner designed to simulate the addition of alkalinity in the SBR field test and explore the range of sensor sensitivities to increased fluxes. A surface flux of carbonate (CO<sub>3</sub><sup>2&#x2212;</sup>) was injected into the center grid cell of the model domain over a period of 8&#x202F;h, equaling the total applied in the SBR field test (1x, <xref ref-type="table" rid="tab2">Table 2</xref>) for both a model domain with closed boundaries (&#x2018;Alk Closed&#x2019;) and one with a single open boundary (&#x2018;Alk Open&#x2019;). Additional alkalinity scenarios for the open and closed modeling domains were also conducted, where alkalinity was increased between two (2x) and one hundred times (100x) the amount of the SBR field test (251 mols of Alkalinity). While the closed boundary simulations are an unrealistic scenario for a marine system, they still present an opportunity to explore a hypothetical maximum limit on the ability of sensors to detect changes in the marine carbonate system that would be otherwise advected away or flushed through tidal mixing and currents. Values of pH<sub>T</sub> were computed using PyCO<sub>2</sub>SYS (<xref ref-type="bibr" rid="ref35">Humphreys et al., 2025</xref>) to represent the sampling capabilities of multiple sensors for a plume in the idealized domain. Sampling bias was calculated by first taking the difference in mean pH<sub>T</sub> (converted to [H+]) between alkalinity addition and baseline simulations, calculated for a specified number of stations (ranging from 3 to 100) and all available model cells. However, the average difference in modeled pH<sub>T</sub> between the baseline simulation and an alkalinity addition was spatially limited to only include model cells where the pH<sub>T</sub> change would be detectable at any point throughout the course of the simulation (<italic>&#x0394;</italic> pH<sub>T</sub>&#x202F;&#x2265;&#x202F;0.01). Therefore, this bias calculation is constrained to only include areas of potentially detectable signals, which will likely remain uncertain prior to real-world alkalinity additions. After calculating the spatially limited differences between sampled cells and modeled cells versus a baseline (&#x0394;Sample and &#x0394;Model), we calculated the percentage difference between &#x0394;Sample and &#x0394;Model to determine the proportion of the pH<sub>T</sub> signal that was capable of being captured by the sampling regime. Underestimates and overestimates of the captured signal are presented as negative and positive percentages, respectively. The positions of selected sampling points were randomly chosen in this subset of the model domain without replacement 10,000 times to more thoroughly evaluate possible surface sampling outcomes, with average changes and their associated standard errors computed for each sensor/alkalinity addition combination.</p>
</sec>
</sec>
<sec sec-type="results" id="sec7">
<label>3</label>
<title>Results</title>
<sec id="sec8">
<label>3.1</label>
<title>Case study: commercial sensor evaluation and mesocosm tests</title>
<p>We first compare the specifications of 11 different commercially available pH sensors and eight <italic>p</italic>CO<sub>2</sub> sensors (<xref ref-type="table" rid="tab3">Table 3</xref>), focusing on technologies that can be relatively easily deployed in coastal systems. The pH sensors described encompass a wide range of manufacturer-reported accuracies and can be broken down broadly into two categories: ion-selective electrode (ISE)-based sensors, spanning accuracies from 0.01&#x2013;0.2 pH (NBS scale), and colorimetric/spectrophotometric sensors with accuracies of &#x2264; 0.01 pH (total scale). We observed general correspondence between accuracy and estimated cost, where sensors with lower accuracy were generally less expensive, although we note that estimated costs often included platforms (e.g., sondes, external batteries) as opposed to just the pH probe itself. All <italic>p</italic>CO<sub>2</sub> sensors included in <xref ref-type="table" rid="tab3">Table 3</xref> use the same measurement principle for quantifying gaseous <italic>p</italic>CO<sub>2</sub> (infrared (IR) absorption). However, they vary in terms of how CO<sub>2</sub> gas is extracted from water (e.g., gas permeable membranes vs. active equilibration) and how frequently calibrations are performed (e.g., prior to deployment vs. onboard span gas used to calibrate before each measurement). Similar to pH sensors, differences in cost often relate to the equipment necessary for proper operation of the sensor, including internal calibration capabilities and pumped heads for membrane-based sensors. On average, <italic>p</italic>CO<sub>2</sub> sensors cost more and have a wider range of accuracy compared to pH sensors.</p>
<table-wrap position="float" id="tab3">
<label>Table 3</label>
<caption>
<p>Summary of commercially available in-situ sensors for monitoring mCDR applications in coastal marine systems.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top" colspan="6">Selected sensors for measuring pH and <italic>p</italic>CO<sub>2</sub> relevant to mCDR</th>
</tr>
<tr>
<th align="left" valign="bottom">Parameter</th>
<th align="left" valign="bottom">Brand</th>
<th align="left" valign="bottom">Model</th>
<th align="left" valign="bottom">Accuracy</th>
<th align="left" valign="bottom">Measurement technology&#x002A;</th>
<th align="left" valign="bottom">Cost range (USD)&#x002A;&#x002A;</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="middle" rowspan="14">pH</td>
<td align="left" valign="bottom">Eureka</td>
<td align="left" valign="bottom">Manta</td>
<td align="left" valign="bottom">0.1 NBS scale</td>
<td align="left" valign="bottom">ISE</td>
<td align="left" valign="bottom">$</td>
</tr>
<tr>
<td align="left" valign="bottom">HydroLab</td>
<td align="left" valign="bottom">HL7</td>
<td align="left" valign="bottom">0.2 NBS scale</td>
<td align="left" valign="bottom">ISE</td>
<td align="left" valign="bottom">$</td>
</tr>
<tr>
<td align="left" valign="bottom">Idronaut</td>
<td align="left" valign="bottom">OS315</td>
<td align="left" valign="bottom">0.01 total scale</td>
<td align="left" valign="bottom">ISE</td>
<td align="left" valign="bottom">$$</td>
</tr>
<tr>
<td align="left" valign="bottom"><italic>In-Situ</italic></td>
<td align="left" valign="bottom">AquaTROLL</td>
<td align="left" valign="bottom">0.1 NBS scale</td>
<td align="left" valign="bottom">ISE</td>
<td align="left" valign="bottom">$</td>
</tr>
<tr>
<td align="left" valign="bottom">NKE</td>
<td align="left" valign="bottom">WiMO</td>
<td align="left" valign="bottom">0.1 NBS scale</td>
<td align="left" valign="bottom">ISE</td>
<td align="left" valign="bottom">$$</td>
</tr>
<tr>
<td align="left" valign="bottom">Onset</td>
<td align="left" valign="bottom">MX2501</td>
<td align="left" valign="bottom">0.1 NBS scale</td>
<td align="left" valign="bottom">ISE</td>
<td align="left" valign="bottom">$</td>
</tr>
<tr>
<td align="left" valign="bottom">RBR</td>
<td align="left" valign="bottom">Maestro</td>
<td align="left" valign="bottom">0.01NBS scale</td>
<td align="left" valign="bottom">ISE</td>
<td align="left" valign="bottom">$$$</td>
</tr>
<tr>
<td align="left" valign="bottom">Seabird</td>
<td align="left" valign="bottom">HydroCAT</td>
<td align="left" valign="bottom">0.1 NBS scale</td>
<td align="left" valign="bottom">ISE</td>
<td align="left" valign="bottom">$$$</td>
</tr>
<tr>
<td align="left" valign="bottom">YSI</td>
<td align="left" valign="bottom">EXO</td>
<td align="left" valign="bottom">0.1 NBS scale</td>
<td align="left" valign="bottom">ISE</td>
<td align="left" valign="bottom">$$</td>
</tr>
<tr>
<td align="left" valign="bottom">Seabird</td>
<td align="left" valign="bottom">SeaFET V2</td>
<td align="left" valign="bottom">0.05 total scale</td>
<td align="left" valign="bottom">ISE</td>
<td align="left" valign="bottom">$$</td>
</tr>
<tr>
<td align="left" valign="bottom">Seabird</td>
<td align="left" valign="bottom">SeapHOx V2</td>
<td align="left" valign="bottom">0.05 total scale</td>
<td align="left" valign="bottom">ISE</td>
<td align="left" valign="bottom">$$$$</td>
</tr>
<tr>
<td align="left" valign="bottom">Sunburst</td>
<td align="left" valign="bottom">iSAMI</td>
<td align="left" valign="bottom">0.01 total scale</td>
<td align="left" valign="bottom">spectrophotometric</td>
<td align="left" valign="bottom">$</td>
</tr>
<tr>
<td align="left" valign="bottom">Sensor Lab</td>
<td align="left" valign="bottom">SP200-SM</td>
<td align="left" valign="bottom">0.005 total scale</td>
<td align="left" valign="bottom">spectrophotometric</td>
<td align="left" valign="bottom">&#x002A;&#x002A;&#x002A;</td>
</tr>
<tr>
<td align="left" valign="bottom">Clearwater</td>
<td align="left" valign="bottom">High Accuracy pH</td>
<td align="left" valign="bottom">0.004 total scale</td>
<td align="left" valign="bottom">spectrophotometric</td>
<td align="left" valign="bottom">$$$$</td>
</tr>
<tr>
<td align="left" valign="middle" rowspan="8"><italic>p</italic>CO<sub>2</sub></td>
<td align="left" valign="bottom">Battelle</td>
<td align="left" valign="bottom">MAPCO<sub>2</sub>/ASVCO<sub>2</sub></td>
<td/>
<td align="left" valign="bottom">IR absorption</td>
<td align="left" valign="bottom">&#x002A;&#x002A;&#x002A;</td>
</tr>
<tr>
<td align="left" valign="bottom">CONTROS</td>
<td align="left" valign="bottom">Hydro C-CO<sub>2</sub></td>
<td align="left" valign="bottom">0.50%</td>
<td align="left" valign="bottom">IR absorption</td>
<td align="left" valign="bottom">$$$</td>
</tr>
<tr>
<td align="left" valign="bottom">Dakunalytics</td>
<td align="left" valign="bottom">Burkolator</td>
<td align="left" valign="bottom">0.2% (TCO<sub>2</sub>) 2% (<italic>p</italic>CO<sub>2</sub>)</td>
<td align="left" valign="bottom">IR absorption</td>
<td align="left" valign="bottom">$$$$</td>
</tr>
<tr>
<td align="left" valign="bottom">General Oceanics</td>
<td align="left" valign="bottom">8,060</td>
<td align="left" valign="bottom">0.5% at 400&#x202F;ppm</td>
<td align="left" valign="bottom">IR absorption</td>
<td align="left" valign="bottom">$$$$</td>
</tr>
<tr>
<td align="left" valign="bottom">Pro-Oceanus</td>
<td align="left" valign="bottom">CO<sub>2</sub>-pro</td>
<td align="left" valign="bottom">0.50%</td>
<td align="left" valign="bottom">IR absorption</td>
<td align="left" valign="bottom">$$$</td>
</tr>
<tr>
<td align="left" valign="bottom">Sunburst</td>
<td align="left" valign="bottom">SAMI-CO<sub>2</sub></td>
<td align="left" valign="bottom">0.50&#x2013;1.5%</td>
<td align="left" valign="bottom">IR absorption</td>
<td align="left" valign="bottom">$$$</td>
</tr>
<tr>
<td align="left" valign="bottom">Sea &#x0026; Sun</td>
<td align="left" valign="bottom">AMT CO<sub>2</sub></td>
<td align="left" valign="bottom">1&#x2013;5%</td>
<td align="left" valign="bottom">IR absorption</td>
<td align="left" valign="bottom">&#x002A;&#x002A;&#x002A;</td>
</tr>
<tr>
<td align="left" valign="bottom">Turner</td>
<td align="left" valign="bottom">C-Sense</td>
<td align="left" valign="bottom">3% of full scale</td>
<td align="left" valign="bottom">IR absorption</td>
<td align="left" valign="bottom">$</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p>&#x002A;ISE&#x202F;=&#x202F;Ion-selective electrode, IR&#x202F;=&#x202F;Infrared. &#x002A;&#x002A;$&#x202F;=&#x202F;&#x003C;10&#x202F;k, $$&#x202F;=&#x202F;10-20&#x202F;k, $$$&#x202F;=&#x202F;20-30&#x202F;k, $$$$ =&#x202F;&#x003E;&#x202F;30&#x202F;k. &#x002A;&#x002A;&#x002A;quote not available. Accuracy and cost metrics were pulled from the manufacturer&#x2019;s sensor specification sheets.</p>
</table-wrap-foot>
</table-wrap>
<p>We conducted a mesocosm alkalinity addition experiment to directly compare the performance of pH and <italic>p</italic>CO<sub>2</sub> sensors available for our specific application. To do this, we deployed a subset of the sensors (<xref ref-type="table" rid="tab3">Table 3</xref>), including five pH sensors capable of being deployed <italic>in-situ</italic> in coastal waters and two <italic>p</italic>CO<sub>2</sub> sensors, representing a range of costs (<xref ref-type="table" rid="tab1">Table 1</xref>). All sensors detected similar responses to the alkalinity addition and subsequent re-equilibration period over the course of the 28-day experiment, but some performed better than others (<xref ref-type="fig" rid="fig3">Figure 3</xref>). The initial spike in pH<sub>T</sub> was detected by all sensors except Sensor 5, which had a delayed and decreased detection of the maximum extent, at least partially explained by a slower sampling rate relative to the other sensors (<xref ref-type="fig" rid="fig3">Figure 3A</xref>; <xref ref-type="table" rid="tab1">Table 1</xref>). Sensors 3 and 5 had the greatest variability in pH<sub>T</sub> during the least variable period, finding a change of roughly 0.07 and 0.09 pH<sub>T</sub>, respectively. Additionally, Sensor 3&#x202F;showed the most variability during the experiment (<xref ref-type="fig" rid="fig3">Figure 3A</xref>). The <italic>p</italic>CO<sub>2</sub> sensors had similar performance, with an average offset of 36&#x202F;ppm (12% of benchtop sensor value) between the two sensors throughout the experiment. Offsets were the lowest immediately after alkalinity addition and increased as the experiment progressed (<xref ref-type="fig" rid="fig3">Figure 3B</xref>). The differences in <italic>p</italic>CO<sub>2</sub> values between the two <italic>p</italic>CO<sub>2</sub> sensors is likely due to autocalibration protocols unique to one sensor and the limited flow across the membrane of the other sensor, which would slow equilibration and result in consistently lower <italic>p</italic>CO<sub>2</sub> values, as was observed. To understand the deviation between each sensor and our reference sensor (Sensor 4, <xref ref-type="table" rid="tab1">Table 1</xref>) during the experiment, we calculated point-by-point differences (<xref ref-type="fig" rid="fig3">Figure 3C</xref>). With the exception of one point for Sensor 5 showing a difference of &#x003E; 1 pH<sub>T</sub> during the period of largest change (e.g., the alkalinity addition), all sensors generally clustered near a difference of 0 with no clear temporal trends. We also plotted the linear relationship between pH<sub>T</sub> measured by Sensor 4 and pH<sub>T</sub> calculated using <italic>seacarb</italic> and TA and DIC samples measured in the lab (<xref ref-type="fig" rid="fig3">Figure 3D</xref>). We observed strong linearity and clustering around the 1:1 line, with an R<sup>2</sup> of 0.982 and an RMSE of 0.037 (or &#x003C;1% of pH<sub>T</sub>&#x202F;=&#x202F;9).</p>
<fig position="float" id="fig3">
<label>Figure 3</label>
<caption>
<p>Time series for <bold>(A)</bold> pH<sub>T</sub> (calculated pH values presented as black dots) and <bold>(B)</bold> pCO<sub>2</sub> measured during a 28-day alkalinity addition experiment conducted in the mesocosm tank shown in <xref ref-type="fig" rid="fig1">Figure 1</xref>. <bold>(C)</bold> We assessed the variance of each sensor relative to the reference pH sensor (Sensor 4) and <bold>(D)</bold> the relationship between pH<sub>T.</sub> measured by Sensor 4 and pH<sub>T</sub> calculated using TA and DIC laboratory measurements. The dashed black line represents a 1:1 relationship, and in-plot statistics present goodness-of-fit (<italic>R</italic><sup>2</sup> of 0.982) and root-mean-square error (RMSE of 0.037).</p>
</caption>
<graphic xlink:href="fclim-07-1649723-g003.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">Panel A shows pH_T data over time from five sensors and calculated values. Panel B displays pCO2 levels from benchtop and in-situ sensors over time. Panel C illustrates pH difference relative to Sensor 4 over time. Panel D is a scatter plot comparing calculated and measured pH_T, with a linear trend line and equations indicating R-squared and RMSE values.</alt-text>
</graphic>
</fig>
<p>We estimated sensor accuracy and resolution based on data in <xref ref-type="fig" rid="fig3">Figure 3</xref>, <xref ref-type="table" rid="tab1">Table 1</xref>. We selected one sensor (Sensor 4) to be our reference sensor for calculating measured accuracy as it had the highest manufacturer-listed accuracy (0.01 pH<sub>T</sub>), showed lower variability during the experiment, and had a dedicated reference probe (stable electrical potential to which the measuring electrode was compared). Estimated accuracies (relative to pH measured by Sensor 4) based on the measurements we collected in our mesocosm experiment were within the ranges reported by manufacturers (<xref ref-type="table" rid="tab3">Table 3</xref>) and match the pattern that cost generally correlates with accuracy (e.g., lower cost equates to lower accuracy, <xref ref-type="table" rid="tab1">Table 1</xref>). We observed almost two orders of magnitude in the range of our estimated sensor resolutions based on our datasets (<xref ref-type="table" rid="tab1">Table 1</xref>).</p>
<p>To assess energy consumption under an OAE scenario, power consumption was measured for a subset of sensors used in the mesocosm experiment, also shown in <xref ref-type="table" rid="tab1">Table 1</xref>. We report either values that we directly measured during sensor operations or estimates based on manufacturer-reported power consumption values when we could not directly measure power consumption without compromising the sensor. It should also be noted that no power-saving features, such as sleep modes or intermittent sampling strategies, were employed during this experiment. Power consumption (power use per day) varied between sensors by more than an order of magnitude, ranging from less than 100&#x202F;mW to more than 2,000&#x202F;mW (<xref ref-type="table" rid="tab1">Table 1</xref>). While sensor energy consumption is likely minuscule compared to that of a given mCDR technology, there are both practical logistical considerations (e.g., time frame of deployment) and carbon accounting considerations (e.g., if a very large sensor network is required). Energy consumption is a particularly important consideration during remote and/or long-term deployments, where local offshore power sources, particularly tidal and solar, may be a primary limitation of sensor deployment length.</p>
<p>To understand how these differences in accuracy between sensors relate to estimates of marine carbonate chemistry, we conducted a sensitivity analysis where we set all parameters to assumed defaults (temperature&#x202F;=&#x202F;25&#x202F;&#x00B0;C, salinity&#x202F;=&#x202F;35 PSU, <italic>p</italic>CO<sub>2</sub>&#x202F;=&#x202F;420&#x202F;ppm, pH<sub>T</sub>&#x202F;=&#x202F;8.0) and then manipulated either pH or <italic>p</italic>CO<sub>2</sub> values to replicate differences in accuracy represented across the sensors summarized in <xref ref-type="table" rid="tab1">Table 1</xref>. For pH<sub>T</sub>, we looked at accuracies ranging from 0.01 to 0.2 (<xref ref-type="fig" rid="fig4">Figure 4A</xref>). For all defaults, <italic>seacarb</italic> calculates an alkalinity of 2,145&#x202F;&#x03BC;mol&#x202F;kg<sup>&#x2212;1</sup>. Using a pH<sub>T</sub> sensor accuracy of &#x00B1; 0.01, estimated alkalinity values had a range of 57&#x202F;&#x03BC;mol&#x202F;kg<sup>&#x2212;1</sup>, with a maximum difference of 1.4% (percentage of the maximum difference from the default value of 2,145&#x202F;&#x03BC;mol&#x202F;kg<sup>&#x2212;1</sup>). However, for the most common pH<sub>T</sub> resolution (&#x00B1; 0.1), we observed a much larger range (1,107&#x202F;&#x03BC;mol&#x202F;kg<sup>&#x2212;1</sup>), equivalent to a maximum difference of 29.4%. For the lowest accuracy represented in <xref ref-type="table" rid="tab3">Table 3</xref> (0.2) for a pH<sub>T</sub> sensor, we observed a range of 2,383&#x202F;&#x03BC;mol&#x202F;kg<sup>&#x2212;1</sup>, equivalent to a maximum difference of 71.2% (<xref ref-type="fig" rid="fig4">Figure 4A</xref>).</p>
<fig position="float" id="fig4">
<label>Figure 4</label>
<caption>
<p>The relationships between sensor accuracy and alkalinity predicted by the seacarb R package for the accuracy ranges presented in <xref ref-type="table" rid="tab1">Table 1</xref> for <bold>(A)</bold> pH sensors, and <bold>(B)</bold> pCO<sub>2</sub> sensors were assessed. The range of sensor accuracies are presented in <xref ref-type="table" rid="tab1">Table 1</xref>. Additionally <bold>(C)</bold> an error-space diagram to understand the combination of uncertainty in estimates of alkalinity for pH and pCO<sub>2</sub> sensors. The x-axis and y-axis are the ranges of accuracy presented in <bold>(A,B)</bold>, and the contours represent the associated error (uncertainty presented as &#x03BC;mol kg<sup>&#x2212;1</sup>) of alkalinity estimates based on combinations of pCO<sub>2</sub> and pH sensor accuracies.</p>
</caption>
<graphic xlink:href="fclim-07-1649723-g004.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">Panel A shows a box plot of alkalinity versus pH sensor accuracy, ranging from one thousand to four thousand micromoles per kilogram. Alkalinity variance increases with sensor inaccuracy. Panel B displays a box plot with alkalinity stabilization as pCO2 sensor accuracy varies from five to fifty parts per million. Panel C is a colored contour plot illustrating the relationship between pH and pCO2 sensor accuracies, with contours labeled from two hundred to eighteen hundred.</alt-text>
</graphic>
</fig>
<p>We conducted an equivalent sensitivity analysis where pH<sub>T</sub> was held stable at 8.0, but <italic>p</italic>CO<sub>2</sub> values were manipulated from 0 to &#x00B1; 20&#x202F;ppm (approximately 5% of baseline <italic>p</italic>CO<sub>2</sub>) at 2&#x202F;ppm intervals (<xref ref-type="fig" rid="fig4">Figure 4B</xref>). Using a <italic>p</italic>CO<sub>2</sub> sensor accuracy of 2&#x202F;ppm (~0.5% at 420&#x202F;ppm), estimated alkalinity values had a range of 10&#x202F;&#x03BC;mol&#x202F;kg<sup>&#x2212;1</sup>, with a maximum difference of 0.2%. The lowest accuracy sensor in <xref ref-type="table" rid="tab3">Table 3</xref> (&#x00B1; 5%) gave a range of 186&#x202F;&#x03BC;mol&#x202F;kg<sup>&#x2212;1</sup>, with a maximum difference of 4.4%. Ultimately, there is better internal consistency when calculating the marine carbonate system using <italic>p</italic>CO<sub>2</sub> compared to pH<sub>T</sub> in this analysis. To understand the combined impacts of the accuracy of pH<sub>T</sub> and <italic>p</italic>CO<sub>2</sub> sensors on TA estimates, we constructed an error-space diagram (<xref ref-type="fig" rid="fig4">Figure 4C</xref>). Consistent with <xref ref-type="fig" rid="fig4">Figures 4A</xref>,<xref ref-type="fig" rid="fig4">B</xref>, the error-space diagram demonstrates that the accuracy of the pH sensor is considerably more important for reducing uncertainty in alkalinity estimates than the accuracy of the <italic>p</italic>CO<sub>2</sub> sensor.</p>
</sec>
<sec id="sec9">
<label>3.2</label>
<title>Case study: SBR field test</title>
<p>Only a handful of OAE field trials have been conducted to date, turning a focus toward answering critical monitoring, reporting, and verification questions. Here, a proof-of-concept test was conducted to determine if <italic>in-situ</italic> pH sensors could detect a signal for an alkalinity release from an outfall into a tidally influenced channel in Sequim Bay, WA. Initial results from a YSI EXO2 pH sensor placed directly at the outfall indicate that, at close proximities, sensors could detect a signal as all four pulsed releases were detected outside of the range of normal observed variability (<xref ref-type="fig" rid="fig5">Figures 5A</xref>,<xref ref-type="fig" rid="fig5">B</xref>). However, the pH<sub>T</sub> signals detected (15&#x2013;20&#x202F;cm from the outfall) were significantly diluted (~7.8&#x2013;8.25) compared to the pH<sub>T</sub> measured at the end member of the wastewater treatment system (~8.9).</p>
<fig position="float" id="fig5">
<label>Figure 5</label>
<caption>
<p><bold>(A)</bold> YSI EXO2 Sonde pH time series recorded during an alkalinity release from a wastewater treatment outfall in a tidally influenced channel. <bold>(B)</bold> Four pulses were detected during the release over 8&#x202F;h, each separated by 1&#x202F;h.</p>
</caption>
<graphic xlink:href="fclim-07-1649723-g005.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">Graph A shows pH levels over time from February 5 to February 18, with a significant spike around February 7 highlighted in blue. Graph B details pH fluctuations on February 7, highlighting several peaks in green between 6:00 AM and 6:00 PM.</alt-text>
</graphic>
</fig>
<p>The baseline pH<sub>T</sub> conditions prior to the release were between 7.5 and 7.6. Each pH<sub>T</sub> pulse released from the wastewater treatment system was detected between 7.8 and 8.3 (<xref ref-type="fig" rid="fig5">Figure 5</xref>). The variability observed along the baseline prior to and during the first step is likely due to tidal influence, followed by unmixed freshwater also exiting the cell during the first release (<xref ref-type="fig" rid="fig5">Figure 5</xref>, Panel B). Following the first release, the pH<sub>T</sub> signal was observed to drop sharply off after each release, returning near the baseline almost immediately each time. The gradual slope, showing an increase in alkalinity during each of the four releases, is likely because the drainage of the wastewater cells was faster than the dilution of the system around the sensors (<xref ref-type="fig" rid="fig5">Figure 5</xref>). These sensors performed adequately from a permit compliance standpoint, verifying that we did not exceed the pH<sub>T</sub>&#x202F;~&#x202F;8.9 threshold of our NPDES permit (converted from NPDES permit threshold of pH<sub>NBS</sub> 9.0). However, the sensor performance indicates that detectability beyond the outfall for carbon accounting purposes is a much larger challenge. More details about this field test can be found in <xref ref-type="bibr" rid="ref64">Savoie et al., 2025</xref>.</p>
</sec>
<sec id="sec10">
<label>3.3</label>
<title>Case study: modeling</title>
<p>A surface flux of alkalinity in the center grid cell of the idealized model domain was applied to simulate the dilution and detectability of an alkaline plume under hydrodynamic and tidal conditions representative of Sequim Bay. At the release level of the Sequim Bay field test, there were extremely low to no levels of detectable change, depending on the use of a 0.01 or 0.001 pH<sub>T</sub> threshold. Therefore, the model results for the 100x experiment are plotted to show a larger areal extent of pH<sub>T</sub> changes that would have a greater likelihood of detection (<xref ref-type="fig" rid="fig6">Figure 6</xref>). Results from the two baseline experiments demonstrate that ~10&#x2013;11% of the apparent signal at the surface of the domain cannot be captured by pH<sub>T</sub> sensors with an accuracy of 0.01&#x202F;units [referencing Sensor 4 manufacturer reported accuracy of 0.01 pH<sub>T</sub> (<xref ref-type="table" rid="tab1">Table 1</xref>)] with an open boundary after a period of 1&#x202F;week due to the effects of vertical and lateral mixing. Subsurface plume mixing and advection out of the inlet both contributed to continuous dilution, challenging the coherence of a signal corresponding to increased pH<sub>T</sub> (<xref ref-type="fig" rid="fig6">Figure 6</xref>). When compared to the full volume of the idealized domain, tidal exchange irreversibly diluted this signal after ~3&#x202F;days, and this fraction of alkalinity-enhanced waters exiting the surface of the model domain steadily increased thereafter for the remainder of the simulation.</p>
<fig position="float" id="fig6">
<label>Figure 6</label>
<caption>
<p>100x model scenario from SBR field test showing the maximum spatiotemporal extent of changes to pH<sub>T</sub> following an alkalinity release. Panel <bold>(A)</bold> shows surface pH<sub>T</sub> changes in a Sequim Bay-like basin with an overlaid 0.01 contour while panel <bold>(B)</bold> shows the horizontally averaged pH<sub>T</sub> changes at different depths (varying with the imposed tidal cycle) over the same domain for all cells that lie within the contour of 0.01 pH<sub>T</sub> detectability shown in <bold>(A)</bold>. Both panels show the changes in pH<sub>T</sub> following a release that is 100 times the amount that was actually discharged (251 mols of alkalinity) into Sequim Bay over the same duration. Note that the color bars and scales differ between panels <bold>(A,B)</bold>.</p>
</caption>
<graphic xlink:href="fclim-07-1649723-g006.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">Top panel (A) shows a contour plot of surface pH changes across and along a channel, with color gradients from light to dark red indicating pH differences up to 0.14. Bottom panel (B) presents a time-depth plot of pH changes over ten days, with color gradients from light to dark blue indicating pH differences up to 0.010 and depth ranging from 0 to 30 meters.</alt-text>
</graphic>
</fig>
<p>Changes to pH<sub>T</sub> levels (calculated from modeling results using PyCO<sub>2</sub>YS; <xref ref-type="bibr" rid="ref35">Humphreys et al., 2025</xref>) show that the limits of detectable changes are confined to a small area near the alkalinity addition point in the center of the model domain, even at alkalinity release levels 100 times greater than the SBR field test (<xref ref-type="fig" rid="fig6">Figure 6A</xref>). For an alkalinity addition equal to the SBR field test (1x, <xref ref-type="table" rid="tab2">Table 2</xref>), the maximum signal is undetectable at a 0.01 pH<sub>T</sub> threshold for the area surrounding the deployment site over the first 10&#x202F;days following the alkalinity addition, and only covers an area of approximately 0.11&#x202F;km<sup>2</sup> if a 0.001 pH<sub>T</sub> threshold is applied instead. As expected, this detectable range expands as the amount of added alkalinity increases: at 10 times the SBR field test, the maximum extent of pH<sub>T</sub> covers an area equal to ~0.11&#x202F;km<sup>2</sup>, increasing further to 7.4&#x202F;km<sup>2</sup> at 100 times the SBR field test for a 0.01 pH<sub>T</sub> threshold. Even with a comprehensive sampling network of 75 sensors evenly spaced throughout the inlet at regular 1&#x202F;km intervals, ~93% of the sampled stations would be unable to detect a signal in a scaled version of the SBR field test model experiment (100x) based on current precision levels of market-available pH<sub>T</sub> sensors assessed during the mesocosm experiment (<xref ref-type="table" rid="tab1">Tables 1</xref>, <xref ref-type="table" rid="tab2">2</xref>).</p>
<p>With an increasing number of sensors, we find that the uncertainty in capturing the change in the overall pH<sub>T</sub> signal improves (decreased standard error bars), but consistently under-reports the true change in modeled pH<sub>T</sub> (<xref ref-type="fig" rid="fig7">Figure 7</xref>). With a much larger release of alkalinity (100x), the number of sensors underestimates the true change in pH<sub>T</sub> signal by approximately &#x2212;35.9&#x202F;&#x00B1;&#x202F;18.1% (&#x2212;0.003&#x202F;&#x00B1;&#x202F;0.002 pH<sub>T</sub>) and &#x2212;36.4&#x202F;&#x00B1;&#x202F;0.5% (&#x2212;0.003&#x202F;&#x00B1;&#x202F;3.8E-5 pH<sub>T</sub>) for the sparsest (3&#x202F;sensors) and densest (100 sensors) observational configurations, respectively. This inability to fully capture the average change in surface pH<sub>T</sub> is likely due to imperfect mixing of the change in DIC within the region where sampling occurs and where any signal is potentially detectable by sensors (&#x2265; 0.01 pH<sub>T</sub>). A fraction of the change to surface alkalinity that lies below the detection limit will also consequently be lost to monitoring efforts. At relatively small releases (1x, 2x), 5 sensors are adequate to fully sample the area that is affected by increased alkalinity changes within the specified detection limit (&#x2265; 0.01 pH<sub>T</sub>). At larger releases (50x, 100x), a release of 100 sampling sensors will only capture ~5&#x2013;13% of the total surface pH<sub>T</sub> change for an area where the detection limit will meet the specified threshold for a single time step in the model simulation (increasing to ~14&#x2013;19% for a pH<sub>T</sub> threshold of 0.001). Over time, alkalinity changes are mixed deeper in this idealized domain, where no air-sea equilibration can occur. This represents another limitation of capturing the total change in pH<sub>T</sub>. Some percentage of this subducted alkalinity eventually is exchanged with the open boundary, which challenges even the most comprehensive surface monitoring network that could be deployed in a small coastal inlet. In model simulations with no open boundaries, the ability to detect the true signal with surface-only observation points slightly improves while the standard errors hardly differ (e.g., underestimated by 34.7&#x202F;&#x00B1;&#x202F;0.4% at 100x the SBR release levels for 100 sensors). These findings are well-aligned with near-field plume modeling results that suggest the pH<sub>T</sub> signal will rapidly dissipate within several meters of the outfall (Savoie et al., accepted), highlighting the need to integrate subsurface monitoring assets into mCDR and MRV applications.</p>
<fig position="float" id="fig7">
<label>Figure 7</label>
<caption>
<p>The magnitude of errors in the percentage of the pH signal captured using multiple stations compared to the model output in regions where a signal would be detectable. This percentage error varies based on the size of the alkalinity release. 1x is equal to the Sequim Bay field test release, 2x is two times that amount over the same time period (8&#x202F;h), etc. The average difference between sampled and modeled surface pH<sub>T</sub> changes are divided by underestimates (negative values) and overestimates (positive values). Standard errors of the percent of the signal captured by the number of sensors are displayed as error bars. Points for alkalinity additions that lie on the zero line perfectly capture the modeled signal because the number of stations is greater than the number of model cells where a detectable signal can occur. The averages and standard errors are computed from 10,000 sampled estimates.</p>
</caption>
<graphic xlink:href="fclim-07-1649723-g007.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">Graph showing the observed pH signal error percentage against Sequim Bay release alkalinity addition, ranging from 3 to 100 sensors. Error decreases with increased alkalinity addition and sensor count, with color-coded dots representing different numbers of sensors.</alt-text>
</graphic>
</fig>
</sec>
</sec>
<sec sec-type="discussion" id="sec11">
<label>4</label>
<title>Discussion</title>
<sec id="sec12">
<label>4.1</label>
<title>Monitoring: sensing</title>
<p>Accurate monitoring, reporting, and verification of mCDR applications are constrained by our ability to measure impacts at relevant spatial and temporal scales. This is a difficult task, particularly in coastal systems, where tidal, diurnal, and seasonal patterns all influence water chemistry. To better understand our monitoring limitations, sensors and models need to be assessed in these conditions.</p>
<p>Accurate monitoring of OAE is partially limited by the instruments available to measure parameters with suitable accuracy, which are currently benchtop instruments that require discrete samples with sufficient volume and careful sampling procedures to avoid atmospheric contamination. Alternatively, measurements can be collected to parameterize the marine carbonate system and then estimate all other components, including TA and DIC, using popular packages like CO<sub>2</sub>YS (<xref ref-type="bibr" rid="ref60">Pierrot et al., 2021</xref>) or the <italic>seacarb</italic> R package (<xref ref-type="bibr" rid="ref30">Gattuso et al., 2024</xref>). These algorithms require measurements for two of four components: pH, <italic>p</italic>CO<sub>2</sub>, TA, and DIC. <italic>In-situ</italic> pH and <italic>p</italic>CO<sub>2</sub> sensors are the most established to date (<xref ref-type="bibr" rid="ref8">Briggs et al., 2020</xref>; <xref ref-type="bibr" rid="ref9">Briggs et al., 2017</xref>; <xref ref-type="bibr" rid="ref11">Byrne et al., 2010</xref>; <xref ref-type="bibr" rid="ref66">Shangguan et al., 2022</xref>; <xref ref-type="bibr" rid="ref65">Shangguan et al., 2021</xref>), can measure at high temporal resolutions, and provide an alternative to the collection of discrete samples. While this approach allows for a large increase in the frequency of measurements that can be collected autonomously, it is also subject to propagation of errors from sensor accuracy, sensor calibrations, and uncertainty introduced by estimating marine carbonate chemistry conditions from these measurements (<xref ref-type="bibr" rid="ref47">Miller et al., 2021b</xref>; <xref ref-type="bibr" rid="ref48">Miller and Kelley, 2021a</xref>). Sensors will need to be carefully selected for a given environment with consideration given to maximum sampling rates, measurement range, and sensor response time. For OAE, accurate measurements of TA and DIC are a current limiting factor: both are required for accurate accounting of sequestered carbon, and they are spatiotemporally variable with limited reliable <italic>in-situ</italic> sensing solutions available for either (<xref ref-type="bibr" rid="ref8">Briggs et al., 2017, 2020</xref>; <xref ref-type="bibr" rid="ref11">Byrne et al., 2010</xref>; <xref ref-type="bibr" rid="ref65">Shangguan et al., 2021</xref>).</p>
<p>A range of <italic>p</italic>CO<sub>2</sub> sensors of varying costs and accuracies are currently available (<xref ref-type="bibr" rid="ref7">Briciu-Burghina et al., 2023</xref>), but the underlying detection method of each sensor has its own limitations (<xref ref-type="bibr" rid="ref12">Clarke et al., 2017</xref>). This also includes the limitations associated with the skill and experience of sensor operators (<xref ref-type="bibr" rid="ref45">McLaughlin et al., 2017</xref>). <italic>p</italic>CO<sub>2</sub> sensors typically cost more than pH sensors (<xref ref-type="table" rid="tab3">Table 3</xref>), but there is better internal consistency in the marine carbonate system when using <italic>p</italic>CO<sub>2</sub>. While pH is a comparatively cheap and simple measurement to collect with an <italic>in-situ</italic> sensor, it is challenging to capture high-quality samples in coastal systems (<xref ref-type="bibr" rid="ref31">Gonski et al., 2024</xref>; <xref ref-type="bibr" rid="ref32">Herrmann et al., 2020</xref>; <xref ref-type="bibr" rid="ref49">Miller et al., 2018</xref>), where many early OAE deployments are likely to take place. Calibration is critical for pH sensors, and in environments with dynamic salinities, it can be challenging to consistently match the salinity of the sample being tested to the salinity of the calibration buffer (<xref ref-type="bibr" rid="ref19">Dickson et al., 2007</xref>; <xref ref-type="bibr" rid="ref22">Easley and Byrne, 2012</xref>; <xref ref-type="bibr" rid="ref43">Martell-Bonet and Byrne, 2020</xref>). To combat this several methods have been developed to calibrate pH sensors in dynamic systems, including <italic>in-situ</italic> or field calibrations (<xref ref-type="bibr" rid="ref6">Bresnahan et al., 2014</xref>; <xref ref-type="bibr" rid="ref31">Gonski et al., 2024</xref>). Drift can also become an issue for pH sensors over time due to biofouling and degradation (<xref ref-type="bibr" rid="ref7">Briciu-Burghina et al., 2023</xref>; <xref ref-type="bibr" rid="ref17">Delauney et al., 2010</xref>; <xref ref-type="bibr" rid="ref44">Martz et al., 2015</xref>), as well as instability issues arising from temperature fluctuations during the day (<xref ref-type="bibr" rid="ref68">Shen et al., 2024</xref>). However, with the current state of technology, when done well, pH will be a critical parameter for monitoring OAE. A well-constrained pH measurement will be critical for accurate monitoring of mCDR efforts if pH and <italic>p</italic>CO<sub>2</sub> are chosen as primary measured marine carbonate system parameters. Our results show that the pH sensors&#x2019; estimated accuracy was better than the manufacturer&#x2019;s reported accuracy for all except one sensor during the mesocosm trials (<xref ref-type="table" rid="tab1">Table 1</xref>). This suggests that rigorous accuracy testing using redundant sensors and/or discrete samples by sensor users is one potential way to increase confidence in lower-cost sensor data. Our results also highlight that more error is induced when calculating other marine carbonate system parameters, specifically TA, when pH is poorly constrained compared to <italic>p</italic>CO<sub>2</sub> (<xref ref-type="fig" rid="fig4">Figures 4A</xref>,<xref ref-type="fig" rid="fig4">B</xref>).</p>
<p>Outside of error propagation, understanding the detection limits of <italic>in-situ</italic> sensors due to dilution will be critical for determining the number and appropriate spatial distribution of sensors during OAE monitoring efforts. The mesocosm study highlights sensor performance in a closed system, but the field test and model showcase how quickly dilution impacts detection capability in an open system. During the SBR field test, at a 15&#x2013;20&#x202F;cm spacing away from the outfall, a dilution from pH<sub>T</sub> 8.9 (measured before release) to ~7.9&#x2013;8.1 was observed (<xref ref-type="fig" rid="fig5">Figure 5</xref>). At the same level of release, with any further distance from the outfall, detecting a measurable signal would be challenging with current pH sensor capabilities (sampling rates and sensor response times). Additionally, the influence of tidal exchange during the release was average for Sequim Bay. Increased dilution effects during larger tidal exchanges will also decrease the likelihood of signal detection, even at close proximities. These environmental challenges highlight the complexity of working in dynamic (tidally influenced) areas. Importantly, we note that matching sensing capabilities/settings to the persistence of the perturbation being measured is important not just across space but also through time. Accurately capturing system responses to mCDR interventions, critical for effective MRV, depends on three separate time-scales aligning: (1) the sensor response time&#x2013; how rapidly the sensor can complete a measurement, (2) the sensor measurement interval &#x2013; how frequently measurements are collected, and (3) the persistence of the perturbation &#x2013; how long is the measurable signal present in the volume sampled by the sensor. As an example of how these three time-scales interact, a sensor with a response time of 1&#x202F;s can measure a perturbation lasting 2&#x202F;min. However, if the sensor is set to measure at 5-min intervals (a common measurement frequency that provides temporal resolution while saving battery and memory), it is likely it will miss the peak of the event, and may miss the event entirely. To improve the chance of signal detection, consideration during sensor selection should be given to the timescale of sensor response time, measurement range, and sensor measurement frequency. Ultimately, sensor accuracy will be irrelevant if it is not deployed in the correct location and sampled at sufficient temporal resolution and response time to capture the system&#x2019;s response.</p>
<p>Powering sensing efforts in marine environments can be complex, especially at scale. Energy consumption, more broadly for all parts of mCDR deployment efforts, should be evaluated, including tools for MRV. Whereas general power consumption information provided on manufacturer sensor specification sheets is typically based on &#x2018;normal&#x2019; operating conditions. These are far less dynamic than coastal regions and ranges that may be experienced during OAE deployments. Energy consumption for the five sensors tested ranged from 80 to 2,500&#x202F;mW, which would be easily supplied by most tidal or floating solar setups (<xref ref-type="table" rid="tab1">Table 1</xref>). In 1&#x202F;year, at the measured rates of consumption, the sensors tested would consume 0.7 to 21.9 kWh of energy if run continuously. For context, a tidal turbine, with a 1 m<sup>2</sup> cross-sectional area, placed in Washington State tidal hotspots (annual available energy ranging from 411 to 19,657 kWh m<sup>&#x2212;2</sup>) would have the potential to generate 102.75 to 4914.25 kWh annually (calculated using a conservative estimate of turbine energy conversion efficiency of 25%) (<xref ref-type="bibr" rid="ref9004">Yang et al., 2021</xref>).</p>
<p>That is two orders of magnitude more power than the sensors&#x2019; max draw. To power sensors at 2500&#x202F;mW, you would need almost 6,000 18,650-format lithium iron phosphate batteries a year. However, these power consumption estimates do not account for additional factors, including ancillary power needs (e.g., active anti-fouling solutions and/or pumped water or air), user-configured deployment configuration (e.g., sample averages and measurement frequencies), or variation in power production in response to dynamic environmental conditions. Our results suggest that sensor energy consumption is an important consideration but likely will not be a limiting factor for field trials. Instead, we suggest that further research is needed to determine appropriate power sources for scaled-offshore mCDR deployments.</p>
</sec>
<sec id="sec13">
<label>4.2</label>
<title>Models informing monitoring</title>
<p>Due to the cost and complexity of high-resolution sampling, practitioners will have to rely on models (in tandem with sensors) to adequately monitor OAE application and impacts. Models have the potential to forecast changes to key marine carbonate system variables, inform the total potential for the scale of CO<sub>2</sub> removal, and assist in predicting long-term impacts on biogeochemical processes. Our results highlight the utility of relatively simple idealized models for designing measurement strategies and predicting changes in the marine carbonate system. The use of more complex numerical Observing System Simulation Experiments (e.g., <xref ref-type="bibr" rid="ref34">Hoffman and Atlas, 2016</xref>) is common practice for designing large-scale open ocean sensor deployments (e.g., <xref ref-type="bibr" rid="ref29">Gasparin et al., 2019</xref>; <xref ref-type="bibr" rid="ref71">Valsala et al., 2021</xref>; <xref ref-type="bibr" rid="ref72">Vecchi and Harrison, 2007</xref>) but is less commonly employed for nearshore coastal studies. Such experiments are critical for coastal environments, given the highly variable conditions in which OAE interventions might be deployed and the uncertainty of the spatiotemporal resolution and number of sensors needed for a given environment. Prior to deployments, such models can be used to determine the number of sensors or monitoring stations required to capture some percentage of the total signal, given the detection limit of a sensor. As shown in <xref ref-type="fig" rid="fig7">Figure 7</xref>, increasing the number of stations can substantially reduce the level of uncertainty among a sampled average, and this effect is greatest when smaller amounts of alkalinity are released. Consequently, reducing uncertainty in observed changes to pH or <italic>p</italic>CO<sub>2</sub> will also require more power for the sensors utilized. Additionally, models can be used to better determine where sensors should be deployed in order to increase the probability of success that an OAE signal can be effectively targeted and detected for a specified period of time.</p>
<p>Our results highlight how a comparatively simple model can be used as a MRV testing tool, informing field trials and deployments before they are conducted. Alkalinity added to the idealized model is rapidly diluted despite the domain starting at rest and applying a minimal wind. This emphasizes the narrow period over which changes can be detected and accurate accounting of the carbon budget through monitoring efforts can be carried out (<xref ref-type="fig" rid="fig6">Figure 6</xref>). The relatively brief window over which changes can be detected also holds true for a closed basin that has no tidal exchanges, demonstrating that the speed of dilution presents a substantial challenge for monitoring efforts. Some of this OAE signal is also lost to depth, meaning that a more complete accounting of the alkaline plume would also require an increased number of subsurface sensors that are not evaluated here (<xref ref-type="fig" rid="fig6">Figure 6B</xref>). Further, accurate detection of an OAE signal by surface pH<sub>T</sub> sensors underestimated the total detectable change by ~35&#x2013;55% on average across all model experiments, whenever the number of model cells experiencing a pH<sub>T</sub> threshold &#x003E; 0.01 exceeded the number of sensors released (<xref ref-type="fig" rid="fig7">Figure 7</xref>). The role of spatial variability within the region of detectable pH<sub>T</sub> changes also acts to limit the accuracy of sensors in capturing the average change, even at high sampling densities (50&#x2013;100 sensors). Point measurements in this framework are limited, and a residual bias may be reduced if the sensors were permitted to drift, rather than remain in fixed positions. However, such an adjustment naively implemented is also an inherently limited strategy. Selecting random locations within the region of detectable influence based on the approach taken in this work only slightly reduces the uncertainty of measurements without meaningfully affecting sampling bias (<xref ref-type="fig" rid="fig8">Figure 8</xref>). Optimizing sensor placement to accurately capture changes to pH<sub>T</sub> and alkalinity in real-world field trials will face additional hurdles. Chief among these challenges are the uncertainties in simulated trajectories of an alkalinity plume which will limit the ability of more robust sensor placement approaches to accurately predict changes in pH<sub>T</sub> and alkalinity. MRV efforts may be best supported by regular gridded sampling over an area where a plume is expected to reside for a period of time, through drones or other novel technologies like towed sensors or pH-sensing cables. More statistically robust sampling methods should also be investigated to be paired with novel sensing technologies. Selecting points with the highest gradient in concentration of alkalinity may over-represent expected changes, while k-means clustering type algorithms may more accurately represent average conditions over the lifetime of a deployment. A more thorough investigation of possible techniques in conjunction with field trials will likely help to identify additional promising sampling approaches that are beyond the scope of this paper. Altogether, these results highlight that high-resolution models are likely the best option to represent alkalinity plume dynamics in complex environments and will be a critical tool to help inform the optimal placement and distribution of <italic>in-situ</italic> sensors.</p>
<fig position="float" id="fig8">
<label>Figure 8</label>
<caption>
<p>Comparison of synthetic sampling approaches characterized by the random placement of sensors within a detectable plume area. In the top row, a number of random points are selected for model sampling in a given Monte Carlo iteration. These points remain fixed over the duration of the sampling process, and the overall estimate of bias and associated standard error are equivalent to the 100x alkalinity release using 100 sensors shown in <xref ref-type="fig" rid="fig6">Figure 6</xref>. In the lower panel, these sampling locations are permitted to randomly adjust at each time step. Allowing the locations of the sampling points to move does not substantially lower the average bias but does reduce the associated standard error.</p>
</caption>
<graphic xlink:href="fclim-07-1649723-g008.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">Comparison of pH sampling approaches using Monte Carlo simulations. Top section: No change in sampling location over time for N=1 and N=2, resulting in a bias of -36.4 &#x00B1; 0.5%. Bottom section: Sampling locations move randomly, also for N=1 and N=2, with a bias of -36.4 &#x00B1; 0.1%. Each scenario uses 100 sensors for 100x SBR.</alt-text>
</graphic>
</fig>
</sec>
<sec id="sec14">
<label>4.3</label>
<title>Key recommendations</title>
<sec id="sec15">
<label>4.3.1</label>
<title>Improvements: sensors and models</title>
<p>High-quality mCDR projects should strive to implement best practices that reduce uncertainty and minimize error in detecting and quantifying total rates of carbon removal. Making direct measurements of TA and pairing TA with DIC to calculate the rest of the marine carbonate system would reduce error propagation (<xref ref-type="bibr" rid="ref56">Orr et al., 2018</xref>). However, TA and DIC are challenging to measure <italic>in-situ</italic>, creating important bottlenecks and limitations for the amount of data that could be collected, especially in cost-limited contexts. At least for now, autonomous, high-resolution <italic>p</italic>CO<sub>2</sub> and pH sensors are likely to form the backbone of mCDR MRV data collection. Reducing the costs of these sensors and improving their drift could support incremental improvements to the uncertainty of data collected by these sensors and cost-effective monitoring campaigns. Biofouling represents another key source of uncertainty not assessed in the short sensor deployment described here. Research is being conducted to determine how to combat biofouling, including using coatings and wipers, but only a handful are commercially available (<xref ref-type="bibr" rid="ref17">Delauney et al., 2010</xref>).</p>
<p>In addition to the environmental challenges, sensor response time and maximum sampling frequencies may dictate or skew what perturbations can be captured through sensing alone. Sensor selection should be guided by the three time-scales described above (sensor response time, sensor measurement frequency, and persistence of perturbation). As an example, deploying less accurate sensors capable of finer temporal resolution alongside more accurate sensors with coarser sampling frequencies could provide opportunities to effectively interpolate higher-accuracy, sparser measurements based on the lower-accuracy, temporally resolved time-series.</p>
<p>While the accuracy of data collected is essential, sometimes even the most accurate sensors will struggle to detect a large signal against dynamic background variability. Within existing literature and frameworks, there has been a call for establishing and collecting baseline measurements prior to conducting mCDR activities (<xref ref-type="bibr" rid="ref4">Boyd et al., 2023</xref>; <xref ref-type="bibr" rid="ref14">Cross et al., 2023</xref>; <xref ref-type="bibr" rid="ref33">Ho et al., 2023</xref>; <xref ref-type="bibr" rid="ref54">Niffenegger et al., 2023</xref>). To adequately understand the chemical changes, biological response, and long-term impacts of OAE application, an understanding of the local marine carbonate system is crucial. Additionally, it has been noted that understanding the &#x2018;additionality problem&#x2019;, in relation to the extent that anthropogenic alkalinity alters the baseline or delivery of natural alkalinity, also needs to be addressed in monitoring efforts (<xref ref-type="bibr" rid="ref2">Bach, 2024</xref>). Ultimately, monitoring practices long-term will need to be able to address both additionality and durability (<xref ref-type="bibr" rid="ref33">Ho et al., 2023</xref>). Improvements to sensors would therefore benefit the development of readily available baseline data sets for OAE applications in environments of interest. In turn, this would advance the capabilities of sensors used to validate and inform models, quantify shifts outside ambient background variability, and support carbon markets. Historic environmental data can also be leveraged to support this effort, and improve the understanding of long-term trends.</p>
<p>Regardless of sensing method, direct observations will not be able to track 100% of changes induced from OAE (<xref ref-type="bibr" rid="ref33">Ho et al., 2023</xref>), especially at large spatial scales. To adequately support these efforts, models will first need to accurately simulate key physical dynamics for extended periods (weeks to months) to capture equilibration timescales. Additionally, improvements in the representation of fine-scale dynamics and biogeochemical dynamics (e.g., secondary precipitation and potential modifications to air-sea fluxes) may be required, which can be very computationally demanding (<xref ref-type="bibr" rid="ref9003">Ward et al., 2025</xref>). These conditions should be explored further as real-world releases of mCDR efforts are likely to push many existing regional biogeochemical models outside the range of historically simulated model limits. More generally, expanding the user interface and accessibility will also be critical to the long-term development and support of these models for MRV efforts.</p>
</sec>
</sec>
<sec id="sec16">
<label>4.4</label>
<title>Clear MRV standards</title>
<p>Although mCDR research continues to advance, general guidelines are needed to structure current and future research to advance the field in tandem with sound science. Specific MRV guidelines will need to be developed in tandem to adequately support the development of the field. Some progress has recently been made clarifying suggested MRV practices related to specific technologies and carbon registries more generally (e.g., <xref ref-type="bibr" rid="ref1">Agbo et al., 2024</xref>; <xref ref-type="bibr" rid="ref37">Isometric, 2025</xref>; <xref ref-type="bibr" rid="ref51">Myers et al., 2024</xref>). Scientists have also begun to compile best practices guides (e.g., <xref ref-type="bibr" rid="ref58">Oschlies et al., 2023</xref>). Work to develop consensus standards among scientists and professionals is ongoing, and will need to be routinely assessed and updated as more sensors and models are developed, more field tests and trials are completed, and more regulations are enacted.</p>
</sec>
<sec id="sec17">
<label>4.5</label>
<title>mCDR collaboration</title>
<p>Collaboration between mCDR monitoring campaigns is likely to be crucial to the success of each individual effort. This research could not have been completed without collaborating with scientists from various backgrounds and expertise. However, with the current lack of data sharing, it was challenging to collect sensor specifications and costing and compare results to similar mCDR studies. Previously, laboratory and sensor intercomparison projects (e.g., <xref ref-type="bibr" rid="ref3">Bockmon and Dickson, 2015</xref>) have also identified analytical differences across different expert users, and this has been especially pronounced for pH accuracy and stability (<xref ref-type="bibr" rid="ref55">Okazaki et al., 2017</xref>). Sharing data between projects, specific intercomparison efforts, and collecting redundant data that overconstrains the carbon system may all be integral to developing MRV protocols for this newly emerging field. Similar data quality standards have been developed for ocean acidification (<xref ref-type="bibr" rid="ref9001">Jiang et al., 2021</xref>; <xref ref-type="bibr" rid="ref53">Newton et al., 2015</xref>). Bidirectional information sharing and shared data storing platforms should be established to support collaboration (<xref ref-type="bibr" rid="ref52">National Academies of Sciences, Engineering, and Medicine, 2022</xref>; <xref ref-type="bibr" rid="ref57">Oschlies et al., 2023</xref>). Additionally, the transparency of MRV will be critical to public perception and long-term adoption of these approaches. Accordingly, collaboration is likely to extend to public-private partnerships. Data management standards should certainly include protections for private sector IP, but must also allow for independent verification and validation, as well as scientific synthesis (<xref ref-type="bibr" rid="ref9002">Jiang et al., 2023</xref>; <xref ref-type="bibr" rid="ref59">Palter et al., 2023</xref>). Observing networks that extend beyond the scientific community also build trust in scientific information and support evidence-based decision making (e.g., <xref ref-type="bibr" rid="ref15">Cross et al., 2019</xref>; <xref ref-type="bibr" rid="ref69">Tilbrook et al., 2019</xref>).</p>
</sec>
</sec>
<sec sec-type="conclusions" id="sec18">
<label>5</label>
<title>Conclusion</title>
<p>In addition to sensor technological advancements, understanding and documenting the successes and limitations of current sensor technologies in specific environmental scenarios will improve the ability to accurately monitor OAE deployments. Here, we conducted a case study in Sequim Bay (WA, United States) to assess the performance of sensors in a close. Our results show that it will be critical to constrain pH during OAE field deployments, given that errors in pH measurement can quickly propagate when used to calculate other parameters in the marine carbonate system, as will be essential in MRV calculations. While our pilot test showed that sensors could detect mCDR signatures from natural variability, they also showed how quickly signals can dissipate via dilution in real-world settings. This was confirmed by a simplified numerical mCDR simulation, which showed that sensors would struggle to capture the entirety of an OAE signal without accompanying large uncertainties. This finding also reinforces the benefits of model applications prior to mCDR deployments as a comparatively low-cost supplement to monitoring efforts that can inform decisions like sensor deployment location and the number and type of sensor packages needed. In the end, diverse and robust monitoring approaches will be critical to precisely assessing mCDR field deployments. Combining models, remote sensing, field observations, and autonomous systems will provide the lowest levels of uncertainty in determining changes in the marine carbonate system. Based on these findings, we recommend that future research consider coordinated and collaborative technical improvements to both measurements and model development that align with MRV standards.</p>
</sec>
</body>
<back>
<sec sec-type="data-availability" id="sec19">
<title>Data availability statement</title>
<p>The raw data supporting the conclusions of this article will be made available by the authors, without undue reservation.</p>
</sec>
<sec sec-type="author-contributions" id="sec20">
<title>Author contributions</title>
<p>TS: Formal analysis, Writing &#x2013; review &#x0026; editing, Methodology, Writing &#x2013; original draft, Investigation, Visualization, Conceptualization, Validation. PR: Visualization, Writing &#x2013; original draft, Validation, Data curation, Methodology, Investigation, Writing &#x2013; review &#x0026; editing. KH: Writing &#x2013; original draft, Data curation, Methodology, Investigation, Writing &#x2013; review &#x0026; editing, Visualization, Validation. CT: Writing &#x2013; review &#x0026; editing, Investigation. QM: Investigation, Writing &#x2013; review &#x0026; editing. NW: Supervision, Writing &#x2013; review &#x0026; editing, Conceptualization, Project administration, Funding acquisition. JC: Visualization, Conceptualization, Writing &#x2013; review &#x0026; editing, Supervision.</p>
</sec>
<sec sec-type="funding-information" id="sec21">
<title>Funding</title>
<p>The author(s) declare that financial support was received for the research and/or publication of this article. Financial support for this research was provided by the US Department of Energy&#x2019;s Water Power Technologies Office Laboratory Research Program.</p>
</sec>
<ack>
<p>This study was led by Pacific Northwest National Laboratory, which is operated for the US Department of Energy by Battelle Memorial Institute under contract DE-AC05-76RL01830. We also acknowledge partner institutions, the University of Washington CICOES and Ebb Carbon, who helped facilitate the field test on a related project with funding from Climateworks Foundation and the National Oceanographic Partnership Program (NOPP) under the National Oceanic and Atmospheric Administration&#x2019;s Ocean Acidification Program.</p>
</ack>
<sec sec-type="COI-statement" id="sec22">
<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>
<p>The handling editor XL declared a shared affiliation with the author NW at the time of review.</p>
</sec>
<sec sec-type="ai-statement" id="sec23">
<title>Generative AI statement</title>
<p>The authors declare that Gen AI was used in the creation of this manuscript. AI was used to support the creation of the scope statement.</p>
<p>Any alternative text (alt text) provided alongside figures in this article has been generated by Frontiers with the support of artificial intelligence and reasonable efforts have been made to ensure accuracy, including review by the authors wherever possible. If you identify any issues, please contact us.</p>
</sec>
<sec sec-type="disclaimer" id="sec24">
<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>
<ref-list>
<title>References</title>
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