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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Mar. Sci.</journal-id>
<journal-title>Frontiers in Marine Science</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Mar. Sci.</abbrev-journal-title>
<issn pub-type="epub">2296-7745</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.3389/fmars.2022.793065</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Marine Science</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Long-Term Trends in Estuarine Carbonate Chemistry in the Northwestern Gulf of Mexico</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes">
<name><surname>McCutcheon</surname> <given-names>Melissa R.</given-names></name>
<xref ref-type="corresp" rid="c001"><sup>&#x002A;</sup></xref>
<xref ref-type="author-notes" rid="fn002"><sup>&#x2020;</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/1512261/overview"/>
</contrib>
<contrib contrib-type="author">
<name><surname>Hu</surname> <given-names>Xinping</given-names></name>
<uri xlink:href="http://loop.frontiersin.org/people/433604/overview"/>
</contrib>
</contrib-group>
<aff><institution>Harte Research Institute for Gulf of Mexico Studies, Texas A&#x0026;M University &#x2013; Corpus Christi</institution>, <addr-line>Corpus Christi, TX</addr-line>, <country>United States</country></aff>
<author-notes>
<fn fn-type="edited-by"><p>Edited by: Maria Ll. Calleja, Max Planck Institute for Chemistry, Germany</p></fn>
<fn fn-type="edited-by"><p>Reviewed by: Mathilde Hagens, Wageningen University and Research, Netherlands; Wiley Evans, Hakai Institute, Canada</p></fn>
<corresp id="c001">&#x002A;Correspondence: Melissa R. McCutcheon, <email>melissa.rae.mccutcheon@gmail.com</email></corresp>
<fn fn-type="present-address" id="fn002"><p><sup>&#x2020;</sup>Present address: Melissa R. McCutcheon, State of Texas, Austin, TX, United States</p></fn>
<fn fn-type="other" id="fn004"><p>This article was submitted to Marine Biogeochemistry, a section of the journal Frontiers in Marine Science</p></fn>
</author-notes>
<pub-date pub-type="epub">
<day>03</day>
<month>03</month>
<year>2022</year>
</pub-date>
<pub-date pub-type="collection">
<year>2022</year>
</pub-date>
<volume>9</volume>
<elocation-id>793065</elocation-id>
<history>
<date date-type="received">
<day>11</day>
<month>10</month>
<year>2021</year>
</date>
<date date-type="accepted">
<day>09</day>
<month>02</month>
<year>2022</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#x00A9; 2022 McCutcheon and Hu.</copyright-statement>
<copyright-year>2022</copyright-year>
<copyright-holder>McCutcheon and Hu</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>A four-decade dataset that spans seven estuaries along a latitudinal gradient in the northwestern Gulf of Mexico and includes measurements of pH and total alkalinity was used to calculate partial pressure of CO<sub>2</sub> (<italic>p</italic>CO<sub>2</sub>), dissolved inorganic carbon (DIC), saturation state of aragonite (&#x03A9;<sub>Ar</sub>), and a buffer factor (&#x03B2;<sub>DIC</sub>, which measures the response of proton concentration or pH to DIC concentration change) and examine long-term trends and spatial patterns in these parameters. With the notable exception of the northernmost and southernmost estuaries (and selected stations near freshwater input), these estuaries have generally experienced long-term increases in <italic>p</italic>CO<sub>2</sub> and decreases in DIC, &#x03A9;<sub>Ar</sub>, and &#x03B2;<sub>DIC</sub>, with the magnitude of change generally increasing from north to south. At all stations with increasing <italic>p</italic>CO<sub>2</sub>, the rate of increase exceeded the rate of increase in atmospheric <italic>p</italic>CO<sub>2</sub>, indicating that these estuaries have become a greater source of CO<sub>2</sub> to the atmosphere over the last few decades. The decreases in &#x03A9;<sub>Ar</sub> have yet to cause &#x03A9;<sub>Ar</sub> to near undersaturation, but even the observed decreases may have the potential to decrease calcification rates in important estuarine calcifiers like oysters. The decreases in &#x03B2;<sub>DIC</sub> directly indicate that these estuaries have experienced continually greater change in pH in the context of ocean acidification.</p>
</abstract>
<kwd-group>
<kwd>long-term trend</kwd>
<kwd>carbonate chemistry</kwd>
<kwd><italic>p</italic>CO<sub>2</sub></kwd>
<kwd>buffer capacity</kwd>
<kwd>estuary</kwd>
</kwd-group>
<contract-sponsor id="cn001">National Science Foundation<named-content content-type="fundref-id">10.13039/100000001</named-content></contract-sponsor>
<counts>
<fig-count count="6"/>
<table-count count="1"/>
<equation-count count="0"/>
<ref-count count="82"/>
<page-count count="15"/>
<word-count count="10075"/>
</counts>
</article-meta>
</front>
<body>
<sec id="S1" sec-type="intro">
<title>Introduction</title>
<p>Unlike the acidification of the open oceans that is driven almost solely by the ocean&#x2019;s uptake of atmospheric CO<sub>2</sub>, the changing carbonate chemistry of coastal and estuarine environments is modulated by several regional to local factors that are superimposed on global trends. The high temporal and spatial heterogeneity in estuarine carbonate chemistry is driven by the complex interactions between watershed dynamics, riverine input of nutrients and organic matter, changing net ecosystem metabolism, changes to upwelling, mixing between and within reservoirs, and reservoir residence time (<xref ref-type="bibr" rid="B29">Frankignoulle et al., 1994</xref>; <xref ref-type="bibr" rid="B14">Cai et al., 2003</xref>; <xref ref-type="bibr" rid="B27">Feely et al., 2010</xref>; <xref ref-type="bibr" rid="B34">Hofmann et al., 2011</xref>; <xref ref-type="bibr" rid="B43">Lejart et al., 2011</xref>; <xref ref-type="bibr" rid="B48">Mongin and Baird, 2014</xref>; <xref ref-type="bibr" rid="B80">Wallace et al., 2014</xref>; <xref ref-type="bibr" rid="B17">Challener et al., 2016</xref>).</p>
<p>Of all contributing biogeochemical processes, net ecosystem metabolism (NEM) is often the major driver of the carbonate system in estuaries (<xref ref-type="bibr" rid="B80">Wallace et al., 2014</xref>), with the exception of the river-dominated upper reaches of some estuaries where riverine CO<sub>2</sub> inputs become dominant (<xref ref-type="bibr" rid="B38">Joesoef et al., 2015</xref>; <xref ref-type="bibr" rid="B76">Van Dam et al., 2018</xref>). The majority of the world&#x2019;s estuaries are net heterotrophic because of terrestrial organic matter loading, and as a result they generally have elevated partial pressure of CO<sub>2</sub> (<italic>p</italic>CO<sub>2</sub>) and act as a source of CO<sub>2</sub> to the atmosphere (<xref ref-type="bibr" rid="B13">Cai et al., 1999</xref>; <xref ref-type="bibr" rid="B63">Raymond et al., 2000</xref>; <xref ref-type="bibr" rid="B28">Frankignoulle and Borges, 2001</xref>; <xref ref-type="bibr" rid="B4">Bauer et al., 2013</xref>). Subsequently, estuaries can substantially contribute to global carbon cycles, with studies estimating that the magnitude of estuarine air-water CO<sub>2</sub> flux is nearly the same as that of continental shelves, even though the latter occupy &#x223C;24 times more surface area (<xref ref-type="bibr" rid="B12">Cai, 2011</xref>; <xref ref-type="bibr" rid="B4">Bauer et al., 2013</xref>).</p>
<p>Several regional studies have demonstrated long-term trends, both increasing and decreasing, in carbonate system parameters [primarily pH and total alkalinity (TA)] in estuarine and coastal environments (<xref ref-type="bibr" rid="B79">Waldbusser et al., 2011</xref>; <xref ref-type="bibr" rid="B36">Hu et al., 2015</xref>; <xref ref-type="bibr" rid="B53">M&#x00FC;ller et al., 2016</xref>; <xref ref-type="bibr" rid="B15">Carstensen et al., 2018</xref>; <xref ref-type="bibr" rid="B66">Robbins and Lisle, 2018</xref>; <xref ref-type="bibr" rid="B16">Carstensen and Duarte, 2019</xref>; <xref ref-type="bibr" rid="B54">Najjar et al., 2019</xref>; <xref ref-type="bibr" rid="B68">Scanes et al., 2020</xref>). Due to complex estuarine carbonate system controls that may change over time, apparent carbonate system trends may not be sustained across multiple decades or may even reverse (<xref ref-type="bibr" rid="B61">Provoost et al., 2010</xref>). It was previously demonstrated that the bays in the northwestern Gulf of Mexico (nwGOM - our study area) have experienced long-term declines in both pH and TA, which was hypothesized to be caused by long-term decreases in freshwater inflow of high-alkalinity rivers and accompanying decreases in TA delivery to the bays (<xref ref-type="bibr" rid="B36">Hu et al., 2015</xref>).</p>
<p>While the identification of pH and TA trends in the nwGOM estuaries was an important first step in understanding the systems and defining management strategies, several other carbonate system parameters may be more informative about the effect of acidification on an estuary and its biological communities. In this study, long-term trends in <italic>p</italic>CO<sub>2</sub> are first explored, which is the most important factor to understand air-sea flux implications. Long-term trends in total dissolved inorganic carbon (DIC) are next explored, an important parameter for the carbon budget. Trends in saturation state of aragonite (&#x03A9;<sub>Ar</sub>) are next explored, which is likely the most important factor to understand biological implications, particularly the potential difficulty for calcifiers (e.g., oysters) to build and maintain their calcium carbonate shells (<xref ref-type="bibr" rid="B20">de Putron et al., 2011</xref>; <xref ref-type="bibr" rid="B78">Waldbusser et al., 2015</xref>). Finally, long-term trends are explored in &#x03B2;<sub>DIC</sub> ((&#x2202;ln[H<sup>+</sup>]/&#x2202;DIC)<sup>&#x2013;1</sup>), a buffer factor that represents the amount of change in proton concentration or pH that occurs with a given addition of DIC (<xref ref-type="bibr" rid="B24">Egleston et al., 2010</xref>). Differences over geographic space in long-term trends, potential drivers of trends, and implications of trends are discussed.</p>
</sec>
<sec id="S2" sec-type="materials|methods">
<title>Materials and Methods</title>
<sec id="S2.SS1">
<title>Study Sites</title>
<p>The studied region includes seven estuaries that border the Texas coast in the nwGOM&#x2014;spanning north to south they are Sabine-Neches Estuary (SNE), Trinity-San Jacinto Estuary (TSJ), Lavaca-Colorado Estuary (LCE), Guadalupe Estuary (GE), Mission-Aransas Estuary (MAE), Nueces Estuary (NE), and Laguna Madre Estuary (LM) (<xref ref-type="fig" rid="F1">Figure 1</xref>). This region hosts 595 km of coastline that lies between 26&#x00B0; and 30&#x00B0;N in a subtropical climate. The nwGOM estuaries are relatively shallow (rarely exceeding 3 m deep), and they are classified as lagoons due to their connectivity and the barrier island system that separates them from the Gulf of Mexico and limits water exchange (<xref ref-type="bibr" rid="B67">Russell and Montagna, 2007</xref>; <xref ref-type="bibr" rid="B49">Montagna et al., 2011b</xref>). Along with other lagoonal bays that span the majority of the Gulf of Mexico coast, these estuaries make up part of the largest lagoonal system in the world (<xref ref-type="bibr" rid="B23">D&#x00FC;rr et al., 2011</xref>).</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption><p>A map of study locations. Texas Commission on Environmental Quality Surface Water Quality Monitoring stations that were used in the analysis (greater than 20 years of sampling for temperature, salinity, pH, and total alkalinity) are shown in each of the seven estuaries along the Texas coast. Station numbers can be found in <xref ref-type="supplementary-material" rid="DS1">Supplementary Figure 1</xref>.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-09-793065-g001.tif"/>
</fig>
<p>The area closest to the Louisiana border experiences twice the rate of precipitation as the area closest to the Mexico border. Together with an evaporation gradient, this yields a freshwater balance (sum of all freshwater input via rivers, runoff, and direct precipitation minus evaporation) that is two orders of magnitude higher in the northernmost estuary, i.e., SNE, than in the southernmost estuary, i.e., LM (<xref ref-type="bibr" rid="B50">Montagna et al., 2011a</xref>). The differing freshwater balance as well as differences in land use and land cover between estuaries yields differing chemical properties, making these seven estuaries chemically unique despite their physical similarities.</p>
</sec>
<sec id="S2.SS2">
<title>Data Sources and Statistical Treatment</title>
<p>Historical water quality data were obtained from the Texas Commission on Environmental Quality&#x2019;s (TCEQ&#x2019;s) Surface Water Quality Monitoring (SWQM) program. TCEQ has collected and compiled water quality data on a quarterly basis across the nwGOM estuaries since 1969, though years of monitoring have varied between stations. We used only those stations with 20 + years of data (including one station in SNE, 10 in TSJ, 13 in LCE, two in GE, five in MAE, 13 in NE, and 10 in LM) and only those stations with 60 + simultaneous measurements for temperature, salinity (or working salinity as defined below), pH, and TA for our analyses. Filtering to remove missing data necessary for carbonate system analyses resulted in removal of all data from 1969 to 1973, the earliest data used in this study were from 1974.</p>
<p>Measurement of TA by TCEQ involved titration to a pH of 4.5 and was monitored using a pH electrode with calibrated acid (H<sub>2</sub>SO<sub>4</sub> or HCl) in accordance with EPA Protocol 310.1. This type of interlaboratory methodology would be expected to have a precision of around 5% (<xref ref-type="bibr" rid="B36">Hu et al., 2015</xref>). TA is reported by TCEQ in mg-CaCO<sub>3</sub> L<sup>&#x2013;1</sup>, but it was converted to &#x03BC;mol kg<sup>&#x2013;1</sup> by multiplying by a factor of 20 and dividing by sample density (derived from salinity and room temperature at 22&#x00B0;C) for this analysis. Measurement of pH by TCEQ involved pH sensors that were calibrated daily using a two-point calibration approach with National Institute of Standards and Technology pH 7.00 and 10.00 buffers, and the values were corrected to reflect <italic>in situ</italic> temperature. Analytical precision was not reported by TCEQ for the pH measurements, although protocol did require measurements to be rounded to the tenth decimal place, so an uncertainty of up to 0.1 can be assumed. <xref ref-type="bibr" rid="B45">Mclaughlin et al. (2017)</xref> reported that potentiometric pH sensors in coastal monitoring have error of &#x00B1; 0.2 pH units, but this is within deployed SeaBird instruments that may have additional sources of error (e.g., much deeper depth). Direct salinity measurements were obtained by TCEQ using a calibrated Hydrolab or YSI sondes using KCl solution of known specific conductance. For those observations where salinity data were missing but specific conductance data were available, a working salinity value was calculated using the linear relationship between specific conductance and salinity (<italic>R</italic><sup>2</sup> = 0.98, as calculated from those records with both salinity and specific conductance data). Working salinity values that were calculated to be &#x2264; 0 (3% of the 2,747 calculated values) were removed from the analysis.</p>
<p>We used an intensive outlier removal approach that aimed to remove occurrences of falsely reported data due to any human or instrument error coming from the multiple laboratories that analyze TCEQ SWQM samples. A two-step approach for outlier removal based on both bracketed time and salinity intervals was conducted for pH and TA measurements, as was done by <xref ref-type="bibr" rid="B36">Hu et al. (2015)</xref>. Seven time brackets were established (5-year intervals) and nine salinity brackets were established (with a range of 5 salinity units for salinity &#x003C; 35 and 35&#x2013;49.99 and 50 + to encompass the relatively limited observations at hypersalinity). Those observations of each parameter that were deemed outliers within either a time bracket or a salinity bracket were removed. Outliers were defined as measurements that were three times the interquartile range (IQR) above quartile three (Q3) or three times the IQR below Q1 within bracketed subsets of the data. This approach assumes that some outliers are representative of the system and therefore removes fewer data than the standard outlier calculation. Temperature outliers were removed from seasonal subsets of the data using the same outlier designation (eight observations removed). There were no salinity observations that were deemed outliers.</p>
</sec>
<sec id="S2.SS3">
<title>Calculation of Carbonate System Parameters</title>
<p>TCEQ&#x2019;s measured <italic>in situ</italic> temperature, salinity (or specific conductance that can be converted to working salinity), pH (converted from NBS scale to total scale, see <xref ref-type="bibr" rid="B46">Millero, 2001</xref>), and TA were used as inputs to the seacarb package in R for calculations of other carbonate system parameters, propagated error associated with carbonate system parameters, and the &#x03B2;<sub>DIC</sub> buffer factor (<xref ref-type="bibr" rid="B62">R Core Team, 2020</xref>; <xref ref-type="bibr" rid="B31">Gattuso et al., 2021</xref>). For speciation calculations, the carbonic acid dissociation constants K<sub>1</sub> and K<sub>2</sub> were from <xref ref-type="bibr" rid="B47">Millero (2010)</xref>, the HF dissociation constant was from <xref ref-type="bibr" rid="B57">Perez and Fraga (1987)</xref>, the HSO<sub>4</sub><sup>&#x2013;</sup> dissociation constant was from <xref ref-type="bibr" rid="B21">Dickson et al. (1990)</xref>, and boron concentration was from <xref ref-type="bibr" rid="B74">Uppstr&#x00F6;m (1974)</xref>. Nutrient contributions (phosphate, silica, and ammonium) to TA were not included in speciation calculations, as they were not consistently measured and are assumed to be negligible to TA given the generally low concentrations. Propagated error was calculated using the Gaussian method 1st order, 2nd moment analysis using analytical precision as the standard deviation associated with each of the measured variables (temp = 0.1&#x00B0;C, Sal = 0.1, pH = 0.1, TA = 115 &#x03BC;mol kg<sup>&#x2013;1</sup>).</p>
<p>The calculated &#x03A9;<sub>Ar</sub> was corrected to account for non-zero calcium concentrations ([Ca<sup>2+</sup>]) in the river end members. Separate corrections were performed for each estuary to reflect different river chemistries. For those estuaries that TCEQ had sufficient [Ca<sup>2+</sup>] data&#x2014;TSJ, LCE, NE, and LM (59, 26, 58, and 9 aligning [Ca<sup>2+</sup>] and salinity observations, respectively)&#x2014;a linear regression between TCEQ measured [Ca<sup>2+</sup>] and salinity within each estuary was used to estimate [Ca<sup>2+</sup>] for every date/station observation. A correction to &#x03A9;<sub>Ar</sub> was then conducted based on the difference between theoretical [Ca<sup>2+</sup>] (with freshwater endmember having zero [Ca<sup>2+</sup>]) and the actual (i.e., estimated) [Ca<sup>2+</sup>], similar to the &#x03A9;<sub>Ar</sub> correction in <xref ref-type="bibr" rid="B44">McCutcheon et al. (2019)</xref>. GE, MAE, and SNE all had insufficient [Ca<sup>2+</sup>] data from TCEQ, so &#x03A9;<sub>Ar</sub> corrections differed. For GE and MAE, similar estuary-wide [Ca<sup>2+</sup>]/Sal regressions were used for correction, using [Ca<sup>2+</sup>] and salinity data from our own lab from 2013 to 2015 and 2014 to 2020, respectively (Hu, unpublished data). For SNE, [Ca<sup>2+</sup>] was estimated for the river endmember by obtaining TA data from TCEQ from the Sabine and Neches rivers (spanning 1974&#x2013;2013) and dividing TA by two as an estimate of riverine [Ca<sup>2+</sup>] (assuming TA was a result of weathering). The linear relationship between the river endmember (Sal = 0, [Ca<sup>2+</sup>] = 0.28 mmol kg<sup>&#x2013;1</sup>) and the ocean endmember (Sal = 35, [Ca<sup>2+</sup>] = 10.28 mmol kg<sup>&#x2013;1</sup>) was then used to estimate [Ca<sup>2+</sup>], and the data were corrected accordingly. It is worth noting that this &#x03A9;<sub>Ar</sub> correction method may introduce some level of error (based on fluctuations in endmember Ca<sup>2+</sup> and Ca<sup>2+</sup>consumption dynamics within each estuary), but the corrected value should be more appropriate than direct seacarb calculations. It has also been demonstrated in NE that Ca<sup>2+</sup>/S relationship can remain linear even when evaporation leads to hypersalinity (<xref ref-type="bibr" rid="B44">McCutcheon et al., 2019</xref>).</p>
<p>The buffer factor &#x03B2;<sub>DIC</sub> was calculated using the seacarb package <xref ref-type="bibr" rid="B24">Egleston et al. (2010)</xref> and the appropriately corrected equation from <xref ref-type="bibr" rid="B1">&#x00C1;lvarez et al. (2014)</xref>. This buffer factor is particularly relevant since it directly indicates the change in pH that occurs with a given addition of DIC. Given that the common drivers of acidification (e.g., enhanced mineralization and intrusion of atmospheric CO<sub>2</sub>) increase DIC, this buffer factor indicates pH response to the acidification mechanism.</p>
</sec>
<sec id="S2.SS4">
<title>Regression Analyses for Long-Term Trends</title>
<p>Theil-Sen (TS) regression analysis with the Siegel modification (<xref ref-type="bibr" rid="B70">Siegel, 1982</xref>) was chosen to generate a series of linear relationships between carbonate system parameters and time (decimal year) at each station; because of its non-parametric approach and robustness to outliers, TS regression is well-suited to explore trends in multi-laboratory agency data (<xref ref-type="bibr" rid="B70">Siegel, 1982</xref>; <xref ref-type="bibr" rid="B39">Kaushal et al., 2013</xref>; <xref ref-type="bibr" rid="B73">Stets et al., 2014</xref>). All analyses were conducted in R, version 4.0.3, and the <italic>mblm</italic> package was used for regressions (<xref ref-type="bibr" rid="B41">Komsta, 2019</xref>; <xref ref-type="bibr" rid="B62">R Core Team, 2020</xref>). Rates of increase or decrease in parameters were reported only for those TS regressions that were significant based on alpha = 0.05. Trends are reported at individual stations rather than aggregating into bay units (as was done for investigations of pH and TA trends by <xref ref-type="bibr" rid="B36">Hu et al., 2015</xref>) to fully picture spatial heterogeneity. Long-term trends in pH and TA are reported in addition to calculated parameters, as stations were not aggregated into bay entities as was done in <xref ref-type="bibr" rid="B36">Hu et al. (2015)</xref> and an additional 5 years of data (2010&#x2013;2015) were available since the earlier analysis. In addition to pH, we also calculated and reported temporal trends in [H<sup>+</sup>] (<xref ref-type="supplementary-material" rid="DS1">Supplementary Table 1</xref>); as would be expected, these trends all displayed the inverse sign and had similar levels of significance compared to the respective pH trend (there were only three stations where significance was not found for both trends if found for one, and these stations had marginal significance, i.e., <italic>p</italic> &#x003E; 0.01). Based on these regression results and based on the similar average values in pH in the region, we opted to discuss only pH (not [H<sup>+</sup>]), as the pH trends accurately reflected the temporal changes in estuarine acidity (<xref ref-type="bibr" rid="B26">Fassbender et al., 2021</xref>).</p>
<p>To confirm that the long-term trends in calculated parameters that were detected by TS regression were valid despite the relatively large propagated error associated with the calculated variables, simulation analyses were conducted to recalculate the slopes of TS regressions over 1,000 simulations at each station for <italic>p</italic>CO<sub>2</sub>, DIC, and &#x03A9;<sub>Ar</sub>. For each simulation, resampled values for each data point were randomly selected within a normal curve using the calculated propagated error for each calculated parameter as the standard deviation for the curve. A 95% confidence interval of the 1,000 new estimates of the TS regression slope was then calculated; if the confidence interval included a value of zero, then the simulation suggested that there was not a long-term trend in the given parameter. In cases where the simulations showed a significant long-term trend, the mean of all simulated slopes would be the estimate of the long-term trend (see Discussion for the advantages of this approach).</p>
</sec>
<sec id="S2.SS5">
<title>Investigating Spatial Variability</title>
<p>Given the expectation of long-term trends in parameters (and the significant interaction between covariate decimal year and estuaries in analyses of covariance, ANCOVAs), differences between estuaries were investigated using a subset of &#x201C;current&#x201D; data. The &#x201C;current&#x201D; data consisted of data from (2010 to 2015) for all estuaries except for SNE. Since sampling concluded in 2008 in SNE and sampling frequency was low, data from 1998 to 2008 was used for SNE. Mean differences in carbonate system parameters between estuaries (using current data) were investigated with a single one-way analysis of variance (ANOVA).</p>
<p>In estuaries with sufficient sampling (TSJ, LCE, MAE, NE, LM) stations were categorized as either primary bay stations, i.e., stations in the bay that has direct connection to the GOM, or secondary bay stations, i.e., stations in bays that are separated from the GOM by the primary bays, for spatial comparisons within estuaries (<xref ref-type="fig" rid="F1">Figure 1</xref>). Given that TSJ did not have any sampling in the primary bay areas from 2010 to 2015, the &#x201C;current&#x201D; subset was modified to 2000&#x2013;2005 for only TSJ for primary/secondary comparisons. Differences in parameters between primary and secondary bays were not the same within all estuaries (based on significant interactions in two-way ANOVAs); thus, mean differences between primary and secondary bays were investigated within each estuary using <italic>t</italic>-tests.</p>
</sec>
</sec>
<sec id="S3" sec-type="results">
<title>Results</title>
<sec id="S3.SS1">
<title>Long-Term Trends in Carbonate System Parameters</title>
<p>We examined 54 total stations: one station in SNE, 10 in TSJ, 13 in LCE, two in GE, five in, MAE, 13 in NE, and 10 in LM. Salinity showed slight decrease in northern estuaries and mostly increased toward the south (<xref ref-type="fig" rid="F2">Figure 2A</xref> and <xref ref-type="supplementary-material" rid="DS1">Supplementary Table 1</xref>). Decreasing pH trends dominated in the region (particularly in the mid-coast, NE to TSJ), with rates ranging from &#x2212;0.0002 to &#x2212;0.0225 yr<sup>&#x2013;1</sup> (<xref ref-type="fig" rid="F2">Figure 2B</xref> and <xref ref-type="supplementary-material" rid="DS1">Supplementary Table 1</xref>). Long-term increases in pH (ranging from 0.0017 to 0.0063 yr<sup>&#x2013;1</sup>) were also observed in one (SNE), one (TSJ), two (NE), and one (LM) stations, respectively (<xref ref-type="fig" rid="F2">Figures 2B</xref>, <xref ref-type="fig" rid="F4">4A</xref> and <xref ref-type="supplementary-material" rid="DS1">Supplementary Table 1</xref>). Similarly, decreasing TA dominated in the region (particularly in the mid-coast, NE to LCE), with rates ranging from &#x2212;1.4 to &#x2212;30.3 &#x03BC;mol kg<sup>&#x2013;1</sup> yr<sup>&#x2013;1</sup>. Long-term increases in TA (ranging from 1.9 to 16.7 &#x03BC;mol kg<sup>&#x2013;1</sup> yr<sup>&#x2013;1</sup>) were also observed at one (TSJ), two (NE), and one (LM) stations, respectively (<xref ref-type="fig" rid="F2">Figures 2C</xref>, <xref ref-type="fig" rid="F4">4B</xref> and <xref ref-type="supplementary-material" rid="DS1">Supplementary Table 1</xref>).</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption><p>Annual rate of change in the measured parameters- salinity <bold>(A)</bold>, pH <bold>(B)</bold>, and total alkalinity <bold>(C)</bold>.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-09-793065-g002.tif"/>
</fig>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption><p>Annual rate of change in calculated carbonate system parameters&#x2014;<italic>p</italic>CO<sub>2</sub> <bold>(A)</bold>, dissolved inorganic carbon <bold>(B)</bold>, &#x03A9;<sub>Ar</sub> <bold>(C)</bold>, and &#x03B2;<sub>DIC</sub> <bold>(D)</bold>. Black squares surrounding individual stations in <bold>(A&#x2013;C)</bold> indicate locations where long-term trends detected by TS regression were not validated (significant trend of the same sign) by the simulation analyses.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-09-793065-g003.tif"/>
</fig>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption><p>Boxplots of the annual rate of change of carbonate system parameters [<bold>(A)</bold> pH, <bold>(B)</bold> TA, <bold>(C)</bold> <italic>p</italic>CO<sub>2</sub>, <bold>(D)</bold> DIC, <bold>(E)</bold> &#x03A9;<sub>Ar</sub>, and <bold>(F)</bold> &#x03B2;<sub>DIC</sub>] at stations within each estuary. Estuaries are listed from south (LM) to north (SNE). Point data showing the rate of change at each station are colored to represent the station classification as within a primary bay (orange), secondary bay (blue). Data with not primary/secondary classification is shown in gray.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-09-793065-g004.tif"/>
</fig>
<p>Temporal trends in <italic>p</italic>CO<sub>2</sub> were primarily dominated by long-term increases (particularly in NE, LCE, and TSJ), with nearly half of all stations (25 of 54) demonstrating long-term increases in <italic>p</italic>CO<sub>2</sub> at rates ranging from 2 to 26 &#x03BC;atm yr<sup>&#x2013;1</sup>; <xref ref-type="fig" rid="F3">Figures 3A</xref>, <xref ref-type="fig" rid="F4">4C</xref>. Long-term decreases in <italic>p</italic>CO<sub>2</sub> were also observed (ranging from &#x2212;2 to &#x2212;10 &#x03BC;atm yr<sup>&#x2013;1</sup>; <xref ref-type="supplementary-material" rid="DS1">Supplementary Table 1</xref>), including one (SNE), two (MAE), two (NE), and one (LM) stations, respectively (<xref ref-type="fig" rid="F3">Figure 3A</xref>). Temporal trends in DIC were primarily dominated by long-term decreases (particularly in the mid-coast, NE to LCE), with two thirds of all stations (36 of 54) demonstrating long-term decreases in DIC at rates ranging from &#x2212;0.9 to &#x2212;26.1 &#x03BC;mol kg<sup>&#x2013;1</sup> yr<sup>&#x2013;1</sup>. Long-term increases in DIC were also observed (ranging from 4.7 to 15.0 &#x03BC;mol kg<sup>&#x2013;1</sup> yr<sup>&#x2013;1</sup>; <xref ref-type="fig" rid="F3">Figures 3B</xref>, <xref ref-type="fig" rid="F4">4D</xref> and <xref ref-type="supplementary-material" rid="DS1">Supplementary Table 1</xref>), including one (TSJ), one (LCE), and one (LM) station, respectively.</p>
<p>Temporal trends in &#x03A9;<sub>Ar</sub> were primarily dominated by long-term decreases (particularly in the mid-coast, NE to TSJ), with nearly two thirds (33 of 54) of all stations experiencing decreases in &#x03A9;<sub>Ar</sub> at rates ranging &#x2212;0.0050 to &#x2212;0.1032 yr<sup>&#x2013;1</sup> (<xref ref-type="fig" rid="F3">Figures 3C</xref>, <xref ref-type="fig" rid="F4">4E</xref> and <xref ref-type="supplementary-material" rid="DS1">Supplementary Table 1</xref>). Long-term increases in &#x03A9;<sub>Ar</sub> were also observed (ranging from 0.0073 to 0.0292 yr<sup>&#x2013;1</sup>), with increases particularly prominent in LM. Long-term trends in &#x03B2;<sub>DIC</sub> were primarily dominated by long-term decreases (particularly in NE, LCE, and TSJ), with more than half (25 of 54) of all stations experiencing decreasing &#x03B2;<sub>DIC</sub> at rates ranging from &#x2212;0.0010 to &#x2212;0.0050 mmol kg<sup>&#x2013;1</sup> yr<sup>&#x2013;1</sup> (<xref ref-type="fig" rid="F3">Figures 3D</xref>, <xref ref-type="fig" rid="F4">4F</xref> and <xref ref-type="supplementary-material" rid="DS1">Supplementary Table 1</xref>). Similar to &#x03A9;<sub>Ar</sub>, long-term increases in &#x03B2;<sub>DIC</sub> were prominent in LM; increases were found in seven LM stations as well as one station in each of TSJ, LCE, MAE, and NE, with increases ranging from 0.0010 to 0.0020 mmol kg<sup>&#x2013;1</sup> yr<sup>&#x2013;1</sup>.</p>
</sec>
<sec id="S3.SS2">
<title>Spatial Variability in Carbonate System Parameters</title>
<p>Carbonate chemistry in the region varied substantially between estuaries (<xref ref-type="fig" rid="F5">Figures 5</xref>, <xref ref-type="fig" rid="F6">6</xref> and <xref ref-type="supplementary-material" rid="DS1">Supplementary Tables 1</xref>, <xref ref-type="supplementary-material" rid="DS1">2</xref>). SNE, the northernmost estuary, had a significantly different mean for every parameter, including the lowest salinity, pH, TA, DIC, &#x03A9;<sub>Ar</sub>, and &#x03B2;<sub>DIC</sub>, and the highest <italic>p</italic>CO<sub>2</sub> (<xref ref-type="fig" rid="F5">Figure 5</xref> and <xref ref-type="supplementary-material" rid="DS1">Supplementary Figure 2</xref>). Conversely, LM, the southernmost estuary, had the highest salinity, TA, DIC, &#x03A9;<sub>Ar</sub>, and &#x03B2;<sub>DIC</sub>, though only TA and &#x03B2;<sub>DIC</sub> were significantly greater than all other estuaries (<xref ref-type="fig" rid="F5">Figures 5</xref>, <xref ref-type="fig" rid="F6">6</xref> and <xref ref-type="supplementary-material" rid="DS1">Supplementary Figure 2</xref>). TSJ also showed relatively unique carbonate chemistry, with relatively low TA, <italic>p</italic>CO<sub>2</sub>, and DIC compared to the rest of the region (<xref ref-type="fig" rid="F5">Figure 5</xref>).</p>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption><p>Boxplots showing the distribution of parameters within primary (light gray) and secondary (dark gray) bays within estuaries using the most recent 6 years of data. Estuaries that could not be split into primary and secondary are shown in white.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-09-793065-g005.tif"/>
</fig>
<fig id="F6" position="float">
<label>FIGURE 6</label>
<caption><p>Relationships between carbonate system parameters&#x2014;TA <bold>(A,B)</bold>, <italic>p</italic>CO<sub>2</sub> <bold>(C,D)</bold>, and &#x03B2;<sub>DIC</sub> <bold>(E,F)</bold>&#x2014;and salinity, and changes in those relationships (change in the ratio between the carbonate system parameter and salinity) represented by loess models over time in each estuary <bold>(A,C,E)</bold>.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-09-793065-g006.tif"/>
</fig>
<p>Some of the estuaries showed differences in carbonate chemistry parameters between primary and secondary bay stations (<xref ref-type="fig" rid="F5">Figure 5</xref>). LM was generally the exception to the rule for primary/secondary bay differences across all parameters (<xref ref-type="fig" rid="F5">Figure 5</xref>). With the exception of LM, salinity was lower on average in the secondary bays, although this difference was only significant in LCE (<italic>p</italic> = 0.0017). pH was lower on average in the secondary bays (only significant in MAE, <italic>p</italic> = 0.0065). <italic>p</italic>CO<sub>2</sub> was higher on average in the secondary bay, although this was only significant in MAE (<italic>p</italic> = 0.0205) and NE (<italic>p</italic> = 0.0146). &#x03A9;<sub>Ar</sub> and &#x03B2;<sub>DIC</sub> were lower on average in secondary bays, though &#x03A9;<sub>Ar</sub> was only significantly different in MAE (<italic>p</italic> = 0.0183) and &#x03B2;<sub>DIC</sub> in MAE (<italic>p</italic> = 0.0478) and TSJ (<italic>p</italic> = 0.0168). DIC and TA did not vary greatly between primary and secondary bays, although differences were seen in TSJ.</p>
</sec>
</sec>
<sec id="S4" sec-type="discussion">
<title>Discussion</title>
<sec id="S4.SS1">
<title>Propagated Error in Calculated Carbonate System Parameters and Validation of Long-Term Trends</title>
<p>While TCEQ SWQM data are not of the same precision that would be expected in an analytical lab that is specialized in carbonate chemistry studies, the protocols have remained the same over time. Therefore, these data should be adequate for time series analysis, and a number of other studies in the literature have also made this assumption while using government-funded long-term water quality monitoring data (<xref ref-type="bibr" rid="B64">Raymond and Cole, 2003</xref>; <xref ref-type="bibr" rid="B65">Raymond et al., 2008</xref>; <xref ref-type="bibr" rid="B79">Waldbusser et al., 2011</xref>; <xref ref-type="bibr" rid="B73">Stets et al., 2014</xref>, <xref ref-type="bibr" rid="B72">2017</xref>; <xref ref-type="bibr" rid="B36">Hu et al., 2015</xref>; <xref ref-type="bibr" rid="B3">Barrera and Robbins, 2017</xref>; <xref ref-type="bibr" rid="B15">Carstensen et al., 2018</xref>; <xref ref-type="bibr" rid="B66">Robbins and Lisle, 2018</xref>; <xref ref-type="bibr" rid="B75">Van Dam and Wang, 2019</xref>) or even citizen science data (<xref ref-type="bibr" rid="B71">Snyder et al., 2019</xref>) for interpreting carbonate chemistry trends.</p>
<p>Propagated error associated with calculated <italic>p</italic>CO<sub>2</sub>, DIC, and &#x03A9;<sub>Ar</sub> would be expected to be relatively high given the coarse analytical precision of the TCEQ data used in this analysis. Assuming analytical precision of pH as &#x00B1; 0.1, TA as &#x00B1; 115 &#x03BC;mol kg<sup>&#x2013;1</sup> (&#x00B1;5% of mean TA, 2,300 &#x03BC;mol kg<sup>&#x2013;1</sup>), salinity as &#x00B1; 0.1, and temperature as &#x00B1; 0.1&#x00B0;C, the mean propagated error associated with calculated <italic>p</italic>CO<sub>2</sub> values was 184.9 &#x00B1; 159.1 &#x03BC;atm, the mean propagated error associated with DIC values was 118.7 &#x00B1; 5.4 &#x03BC;mol kg<sup>&#x2013;1</sup>, and the mean propagated error associated with &#x03A9;<sub>Ar</sub> was 0.497 &#x00B1; 0.264.</p>
<p>The simulation method used for validation of long-term trends confirmed the presence and signs of long-term trends in <italic>p</italic>CO<sub>2</sub>, DIC, and &#x03A9;<sub>Ar</sub> that were found from TS regression with only a few exceptions. The simulations were able to validate the existence and sign of 23 (of 25) of the increasing <italic>p</italic>CO<sub>2</sub> trends and four (of six) of the decreasing trends. The mean difference between significant slopes calculated by the single TS regression vs. the simulation was &#x2212;0.2 &#x00B1; 1.0 &#x03BC;atm yr<sup>&#x2013;1</sup> (or 3.1 &#x00B1; 19.3% of the TS slope estimates). The simulations were able to validate the existence and sign of 32 (of 36) of the increasing DIC trends and all three of the decreasing trends. The mean difference between significant slopes calculated by the single TS regression vs. the simulation was &#x2212;0.3 &#x00B1; 1.1 &#x03BC;mol kg<sup>&#x2013;1</sup> yr<sup>&#x2013;1</sup> (or 4.8 &#x00B1; 15.1% of the TS slope estimates). The simulations were able to validate the existence and sign of 29 (of 33) of the increasing trends in &#x03A9;<sub>Ar</sub> and three (of six) of the decreasing trends in &#x03A9;<sub>Ar</sub>. There was also one station in TSJ (13315) that did not have a significant trend based on the TS method but did have a significant, positive trend based on the simulation. The mean difference between significant slopes calculated by the single TS regression vs. the simulation was &#x2212;0.0005 &#x00B1; 0.0051 yr<sup>&#x2013;1</sup> (or 5.8 &#x00B1; 21.7% of the TS slope estimates).</p>
<p>While there are some discrepancies between the two methods (single TS regression estimates and 95% confidence intervals of TS regressions of simulated data with incorporated propagated error), the overall picture of the presence and directions of long-term trends in carbonate system parameters within each of the estuaries remains unaltered (<xref ref-type="fig" rid="F3">Figure 3</xref> and <xref ref-type="supplementary-material" rid="DS1">Supplementary Figure 2</xref>). This is the first time to our knowledge that the use of calculated carbonate system parameters in the estimation of long-term trends has been validated based on their associated propagated error. It is a promising finding for the utility of government-funded and citizen science-sponsored data, and it provides support for the continued sponsorship of such programs for understanding changes in coastal carbonate chemistry.</p>
<p>It is worth noting that DIC and pH are among the better combinations of parameters for carbonate system calculations (<xref ref-type="bibr" rid="B37">Hunt et al., 2011</xref>; <xref ref-type="bibr" rid="B56">Patsavas et al., 2015</xref>). Since the TCEQ data did not include measures of DIC, TA and pH were used for speciation calculations; this simple use of TA has been shown to lead to overestimation of <italic>p</italic>CO<sub>2</sub> (<xref ref-type="bibr" rid="B37">Hunt et al., 2011</xref>) since organic alkalinity is not accounted for. Organic alkalinity has been assumed to be negligible in other studies when only TA and pH were available for speciation calculations (<xref ref-type="bibr" rid="B60">Prasad et al., 2013</xref>; <xref ref-type="bibr" rid="B15">Carstensen et al., 2018</xref>). Present day organic alkalinity in the region (MAE and NE, calculated by the difference in measured TA and TA calculated with DIC and pH) usually does not exceed 50 &#x03BC;mol kg<sup>&#x2013;1</sup>, or less than 2% of TA (<xref ref-type="bibr" rid="B81">Yao and Hu, 2017</xref>; <xref ref-type="bibr" rid="B44">McCutcheon et al., 2019</xref>). It is assumed that there are not long-term trends in organic alkalinity. However, analysis based on the agency collected data suggest that total organic carbon concentrations in many nwGOM estuaries likely exhibit long-term decline (<xref ref-type="bibr" rid="B51">Montagna and Palmer, 2012</xref>; <xref ref-type="bibr" rid="B18">CTBS, 2017</xref>). It is reasonable to assume that organic alkalinity level would show a positive correlation with total organic carbon, hence the <italic>p</italic>CO<sub>2</sub> trends calculated based on the assumption of no organic alkalinity trend would represent the lower estimates of &#x201C;true&#x201D; values.</p>
</sec>
<sec id="S4.SS2">
<title>Spatial Heterogeneity in Carbonate System Parameters and Long-Term Trends</title>
<p>Around the world, several estuaries have now been shown to have long-term trends in pH and TA (<xref ref-type="table" rid="T1">Table 1</xref>). with a meta-analysis revealing equal likelihood of increasing or decreasing pH trends (<xref ref-type="bibr" rid="B16">Carstensen and Duarte, 2019</xref>). <xref ref-type="bibr" rid="B5">Baumann and Smith (2018)</xref> investigated pH trends across 16 U.S. Nation Estuary Research Reserve System sites. While interannual pH change rates are not provided, they reported that seven of the 16 sites have decreasing pH, four have increasing pH, and the magnitude of change is &#x223C;10 times that of the open ocean (&#x223C;&#x2212;0.0017 yr<sup>&#x2013;1</sup>, <xref ref-type="bibr" rid="B33">Gonz&#x00E1;lez-D&#x00E1;vila et al., 2007</xref>; <xref ref-type="bibr" rid="B10">Byrne et al., 2010</xref>). The magnitude of annual change in pH and TA that we have reported is mostly in line with trends that have been reported in other estuaries (<xref ref-type="table" rid="T1">Table 1</xref>). Only one other study that we are aware of has reported long-term trends in calculated carbonate system parameters; in Danish Fjords, <xref ref-type="bibr" rid="B15">Carstensen et al. (2018)</xref> reported mostly long-term increases in <italic>p</italic>CO<sub>2</sub> and DIC (<xref ref-type="table" rid="T1">Table 1</xref>). While such increasing DIC would generally be expected in oceanic environments with increasing <italic>p</italic>CO<sub>2</sub> (both resulting from CO<sub>2</sub> uptake), the widespread decreasing trends that were found here likely directly result from the long-term decreases in TA in the nwGOM region. <xref ref-type="bibr" rid="B15">Carstensen et al. (2018)</xref> did not report values of annual change in &#x03A9; (although they did note increasing &#x03A9; and decreasing &#x03A9; surrounding a regime shift in one estuary). The large spatial variation in carbonate chemistry within estuaries is often due to control exerted by NEM. Heterogeneity in NEM becomes apparent at distances of less than 2 km in the nwGOM estuaries (<xref ref-type="bibr" rid="B67">Russell and Montagna, 2007</xref>). More freshwater-influenced regions of estuaries are generally more net heterotrophic than the rest of the estuary due to allochthonous carbon input (<xref ref-type="bibr" rid="B11">Caffrey, 2004</xref>) and river water itself is generally supersaturated with CO<sub>2</sub> (<xref ref-type="bibr" rid="B8">Butman and Raymond, 2011</xref>; <xref ref-type="bibr" rid="B38">Joesoef et al., 2015</xref>); thus, the elevated <italic>p</italic>CO<sub>2</sub> and depressed pH, &#x03A9;<sub>Ar</sub>, and &#x03B2;<sub>DIC</sub> found in the secondary bays relative to the primary bays (<xref ref-type="fig" rid="F5">Figure 5</xref>) are spatial relationships that could be noted along the freshwater gradient within many estuaries.</p>
<table-wrap position="float" id="T1">
<label>TABLE 1</label>
<caption><p>Long-term trends in carbonate chemistry parameters that have been previously reported in estuaries around the world.</p></caption>
<table cellspacing="5" cellpadding="5" frame="hsides" rules="groups">
<thead>
<tr>
<td valign="top" align="left">Estuary</td>
<td valign="top" align="center">Years of trend</td>
<td valign="top" align="center">pH (units yr<sup>&#x2013;1</sup>)</td>
<td valign="top" align="center">TA (&#x03BC; mol kg<sup>&#x2013;1</sup> yr<sup>&#x2013;1</sup>)</td>
<td valign="top" align="center"><italic>p</italic>CO<sub>2</sub> (&#x03BC; atm yr<sup>&#x2013;1</sup>)</td>
<td valign="top" align="center">DIC (&#x03BC; mol kg<sup>&#x2013;1</sup>)</td>
<td valign="top" align="left">Source</td>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">Ringk&#x00F8;bing Fjord, Denmark</td>
<td valign="top" align="center">&#x2019;80&#x2013;&#x2019;95</td>
<td valign="top" align="center">0.0214</td>
<td valign="top" align="center">22.6</td>
<td valign="top" align="center">&#x2212;33.8<xref ref-type="table-fn" rid="t1fne"><sup>e</sup></xref></td>
<td valign="top" align="center">15.1<xref ref-type="table-fn" rid="t1fne"><sup>e</sup></xref></td>
<td valign="top" align="left"><xref ref-type="bibr" rid="B15">Carstensen et al., 2018</xref></td>
</tr>
<tr>
<td valign="top" align="left">Ringk&#x00F8;bing Fjord, Denmark</td>
<td valign="top" align="center">&#x2019;96&#x2013;&#x2019;16</td>
<td valign="top" align="center">&#x2212;0.0088</td>
<td valign="top" align="center">&#x2212;3.1</td>
<td valign="top" align="center">12.4<xref ref-type="table-fn" rid="t1fne"><sup>e</sup></xref></td>
<td valign="top" align="center">&#x2212;6.0<xref ref-type="table-fn" rid="t1fne"><sup>e</sup></xref></td>
<td valign="top" align="left"><xref ref-type="bibr" rid="B15">Carstensen et al., 2018</xref></td>
</tr>
<tr>
<td valign="top" align="left">Roskilde Fjord, Denmark</td>
<td valign="top" align="center">&#x2019;72&#x2013;&#x2019;16</td>
<td valign="top" align="center">&#x2212;0.0031</td>
<td valign="top" align="center">19.0</td>
<td valign="top" align="center">7.81<xref ref-type="table-fn" rid="t1fne"><sup>e</sup></xref></td>
<td valign="top" align="center">7.5<xref ref-type="table-fn" rid="t1fne"><sup>e</sup></xref></td>
<td valign="top" align="left"><xref ref-type="bibr" rid="B15">Carstensen et al., 2018</xref></td>
</tr>
<tr>
<td valign="top" align="left">Skive Fjord, Denmark</td>
<td valign="top" align="center">&#x2019;80&#x2013;&#x2019;10</td>
<td valign="top" align="center">&#x2212;0.0061</td>
<td valign="top" align="center">18.8</td>
<td valign="top" align="center">8.06<xref ref-type="table-fn" rid="t1fne"><sup>e</sup></xref></td>
<td valign="top" align="center">6.2<xref ref-type="table-fn" rid="t1fne"><sup>e</sup></xref></td>
<td valign="top" align="left"><xref ref-type="bibr" rid="B15">Carstensen et al., 2018</xref></td>
</tr>
<tr>
<td valign="top" align="left">Baltic Sea</td>
<td valign="top" align="center">&#x2019;95&#x2013;&#x2018;14</td>
<td valign="top" align="left"/><td valign="top" align="center">3.4</td>
<td/>
<td/>
<td valign="top" align="left"><xref ref-type="bibr" rid="B53">M&#x00FC;ller et al., 2016</xref></td>
</tr>
<tr>
<td valign="top" align="left">Gulf of Bothnia</td>
<td valign="top" align="center">&#x2019;95&#x2013;&#x2018;14</td>
<td valign="top" align="left"/><td valign="top" align="center">7</td>
<td/>
<td/>
<td valign="top" align="left"><xref ref-type="bibr" rid="B53">M&#x00FC;ller et al., 2016</xref></td>
</tr>
<tr>
<td valign="top" align="left">West Australian estuaries</td>
<td valign="top" align="center">&#x2019;95&#x2013;&#x2018;16</td>
<td valign="top" align="center">&#x003C;&#x2212;0.00018 to &#x003E;0.00018</td>
<td/>
<td/>
<td/>
<td valign="top" align="left"><xref ref-type="bibr" rid="B16">Carstensen and Duarte, 2019</xref></td>
</tr>
<tr>
<td valign="top" align="left">East Australian estuaries</td>
<td valign="top" align="center">&#x2019;07&#x2013;&#x2018;19</td>
<td valign="top" align="center">&#x2212;0.0978</td>
<td/>
<td/>
<td/>
<td valign="top" align="left"><xref ref-type="bibr" rid="B68">Scanes et al., 2020</xref></td>
</tr>
<tr>
<td valign="top" align="left">Long Island Sound, Thames</td>
<td valign="top" align="center">&#x2019;74&#x2013;&#x2018;16</td>
<td valign="top" align="center">&#x2212;0.004</td>
<td/>
<td/>
<td/>
<td valign="top" align="left"><xref ref-type="bibr" rid="B71">Snyder et al., 2019</xref></td>
</tr>
<tr>
<td valign="top" align="left">Chesapeake, Chester</td>
<td valign="top" align="center">&#x2019;85&#x2013;&#x2018;08</td>
<td valign="top" align="center">0.018<xref ref-type="table-fn" rid="t1fna"><sup>a</sup></xref></td>
<td/>
<td/>
<td/>
<td valign="top" align="left"><xref ref-type="bibr" rid="B79">Waldbusser et al., 2011</xref></td>
</tr>
<tr>
<td valign="top" align="left">Chesapeake, Chester</td>
<td valign="top" align="center">&#x2019;86&#x2013;&#x2018;05</td>
<td valign="top" align="left"/><td valign="top" align="center">4.9<xref ref-type="table-fn" rid="t1fnb"><sup>b</sup></xref></td>
<td/>
<td/>
<td valign="top" align="left"><xref ref-type="bibr" rid="B54">Najjar et al., 2019</xref></td>
</tr>
<tr>
<td valign="top" align="left">Chesapeake, Choptank</td>
<td valign="top" align="center">&#x2019;85&#x2013;&#x2018;08</td>
<td valign="top" align="center">0<xref ref-type="table-fn" rid="t1fna"><sup>a</sup></xref></td>
<td/>
<td/>
<td/>
<td valign="top" align="left"><xref ref-type="bibr" rid="B79">Waldbusser et al., 2011</xref></td>
</tr>
<tr>
<td valign="top" align="left">Chesapeake, Patuxent</td>
<td valign="top" align="center">&#x2019;85&#x2013;&#x2018;08</td>
<td valign="top" align="center">0.010<xref ref-type="table-fn" rid="t1fna"><sup>a</sup></xref></td>
<td/>
<td/>
<td/>
<td valign="top" align="left"><xref ref-type="bibr" rid="B79">Waldbusser et al., 2011</xref></td>
</tr>
<tr>
<td valign="top" align="left">Chesapeake, Rappahannock</td>
<td valign="top" align="center">&#x2019;85&#x2013;&#x2018;08</td>
<td valign="top" align="center">0.011<xref ref-type="table-fn" rid="t1fna"><sup>a</sup></xref></td>
<td/>
<td/>
<td/>
<td valign="top" align="left"><xref ref-type="bibr" rid="B79">Waldbusser et al., 2011</xref></td>
</tr>
<tr>
<td valign="top" align="left">Chesapeake, James</td>
<td valign="top" align="center">&#x2019;85&#x2013;&#x2018;08</td>
<td valign="top" align="center">0.007<xref ref-type="table-fn" rid="t1fna"><sup>a</sup></xref></td>
<td/>
<td/>
<td/>
<td valign="top" align="left"><xref ref-type="bibr" rid="B79">Waldbusser et al., 2011</xref></td>
</tr>
<tr>
<td valign="top" align="left">Chesapeake, Tangier</td>
<td valign="top" align="center">&#x2019;85&#x2013;&#x2018;08</td>
<td valign="top" align="center">0.005<xref ref-type="table-fn" rid="t1fna"><sup>a</sup></xref></td>
<td/>
<td/>
<td/>
<td valign="top" align="left"><xref ref-type="bibr" rid="B79">Waldbusser et al., 2011</xref></td>
</tr>
<tr>
<td valign="top" align="left">Chesapeake, Potomac</td>
<td valign="top" align="center">&#x2019;84&#x2013;&#x2019;12</td>
<td valign="top" align="left"/><td valign="top" align="center">10.9&#x2013;20.8<xref ref-type="table-fn" rid="t1fnb"><sup>b</sup></xref></td>
<td/>
<td/>
<td valign="top" align="left"><xref ref-type="bibr" rid="B54">Najjar et al., 2019</xref></td>
</tr>
<tr>
<td valign="top" align="left">Chesapeake, Potomac</td>
<td valign="top" align="center">&#x2019;85&#x2013;&#x2018;06</td>
<td valign="top" align="left"/><td/>
<td valign="top" align="center">&#x2212;</td>
<td/>
<td valign="top" align="left"><xref ref-type="bibr" rid="B60">Prasad et al., 2013</xref></td>
</tr>
<tr>
<td valign="top" align="left">Chesapeake, Anacostia</td>
<td valign="top" align="center">&#x2019;84&#x2013;&#x2018;12</td>
<td valign="top" align="left"/><td valign="top" align="center">5.6&#x2013;11.6<xref ref-type="table-fn" rid="t1fnb"><sup>b</sup></xref></td>
<td/>
<td/>
<td valign="top" align="left"><xref ref-type="bibr" rid="B54">Najjar et al., 2019</xref></td>
</tr>
<tr>
<td valign="top" align="left">Chesapeake, Anacostia</td>
<td valign="top" align="center">&#x2019;85&#x2013;&#x2018;06</td>
<td valign="top" align="left"/><td/>
<td valign="top" align="center">&#x2212;</td>
<td/>
<td valign="top" align="left"><xref ref-type="bibr" rid="B60">Prasad et al., 2013</xref></td>
</tr>
<tr>
<td valign="top" align="left">Neuse River Estuary, NC</td>
<td valign="top" align="center">&#x2019;05&#x2013;&#x2018;17</td>
<td valign="top" align="center">0<xref ref-type="table-fn" rid="t1fnc"><sup>c</sup></xref></td>
<td/>
<td/>
<td/>
<td valign="top" align="left"><xref ref-type="bibr" rid="B75">Van Dam and Wang, 2019</xref></td>
</tr>
<tr>
<td valign="top" align="left">Neuse River Estuary, NC</td>
<td valign="top" align="center">&#x2019;05&#x2013;&#x2018;17</td>
<td valign="top" align="center">&#x2212;0.02<xref ref-type="table-fn" rid="t1fnd"><sup>d</sup></xref></td>
<td/>
<td/>
<td/>
<td valign="top" align="left"><xref ref-type="bibr" rid="B75">Van Dam and Wang, 2019</xref></td>
</tr>
<tr>
<td valign="top" align="left">New River Estuary, NC</td>
<td valign="top" align="center">&#x2019;05&#x2013;&#x2018;17</td>
<td valign="top" align="center">0<sup><xref ref-type="table-fn" rid="t1fnc">c</xref>,<xref ref-type="table-fn" rid="t1fnd">d</xref></sup></td>
<td/>
<td/>
<td/>
<td valign="top" align="left"><xref ref-type="bibr" rid="B75">Van Dam and Wang, 2019</xref></td>
</tr>
<tr>
<td valign="top" align="left">St. Joseph, FL (GOM)</td>
<td valign="top" align="center">&#x2019;85&#x2013;&#x2019;08</td>
<td valign="top" align="center">&#x2212;0.0006</td>
<td/>
<td/>
<td/>
<td valign="top" align="left"><xref ref-type="bibr" rid="B66">Robbins and Lisle, 2018</xref></td>
</tr>
<tr>
<td valign="top" align="left">Wakulla, FL (GOM)</td>
<td valign="top" align="center">&#x2019;82&#x2013;&#x2019;08</td>
<td valign="top" align="center">0</td>
<td/>
<td/>
<td/>
<td valign="top" align="left"><xref ref-type="bibr" rid="B66">Robbins and Lisle, 2018</xref></td>
</tr>
<tr>
<td valign="top" align="left">St Johns North, FL (Atl)</td>
<td valign="top" align="center">&#x2019;82&#x2013;&#x2019;04</td>
<td valign="top" align="center">0</td>
<td/>
<td/>
<td/>
<td valign="top" align="left"><xref ref-type="bibr" rid="B66">Robbins and Lisle, 2018</xref></td>
</tr>
<tr>
<td valign="top" align="left">Cedar Key, FL (GOM)</td>
<td valign="top" align="center">&#x2019;85&#x2013;&#x2019;08</td>
<td valign="top" align="center">&#x2212;0.0003</td>
<td/>
<td/>
<td/>
<td valign="top" align="left"><xref ref-type="bibr" rid="B66">Robbins and Lisle, 2018</xref></td>
</tr>
<tr>
<td valign="top" align="left">Citrus County, FL (GOM)</td>
<td valign="top" align="center">&#x2019;84&#x2013;&#x2019;08</td>
<td valign="top" align="center">&#x2212;0.0003</td>
<td/>
<td/>
<td/>
<td valign="top" align="left"><xref ref-type="bibr" rid="B66">Robbins and Lisle, 2018</xref></td>
</tr>
<tr>
<td valign="top" align="left">Laguna Madre Estuary, TX</td>
<td valign="top" align="center">&#x2019;69&#x2013;&#x2018;10</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">&#x2212;7.6 to 0</td>
<td/>
<td/>
<td valign="top" align="left"><xref ref-type="bibr" rid="B36">Hu et al., 2015</xref></td>
</tr>
<tr>
<td valign="top" align="left">Volusia, FL (Atl)</td>
<td valign="top" align="center">&#x2019;81&#x2013;&#x2019;04</td>
<td valign="top" align="center">&#x2212;0.0004</td>
<td/>
<td/>
<td/>
<td valign="top" align="left"><xref ref-type="bibr" rid="B66">Robbins and Lisle, 2018</xref></td>
</tr>
<tr>
<td valign="top" align="left">Tampa Bay, FL (GOM)</td>
<td valign="top" align="center">&#x2019;83&#x2013;&#x2019;08</td>
<td valign="top" align="center">&#x2212;0.0004</td>
<td/>
<td/>
<td/>
<td valign="top" align="left"><xref ref-type="bibr" rid="B66">Robbins and Lisle, 2018</xref></td>
</tr>
<tr>
<td valign="top" align="left">South Banana River, FL (Atl)</td>
<td valign="top" align="center">&#x2019;92&#x2013;&#x2019;04</td>
<td valign="top" align="center">&#x2212;0.0007</td>
<td/>
<td/>
<td/>
<td valign="top" align="left"><xref ref-type="bibr" rid="B66">Robbins and Lisle, 2018</xref></td>
</tr>
<tr>
<td valign="top" align="left">Indian River, FL (Atl)</td>
<td valign="top" align="center">&#x2019;78&#x2013;&#x2019;04</td>
<td valign="top" align="center">&#x2212;0.0003</td>
<td/>
<td/>
<td/>
<td valign="top" align="left"><xref ref-type="bibr" rid="B66">Robbins and Lisle, 2018</xref></td>
</tr>
<tr>
<td valign="top" align="left">Ten Thousand Islands, FL (GOM)</td>
<td valign="top" align="center">&#x2019;83&#x2013;&#x2019;08</td>
<td valign="top" align="center">&#x2212;0.0022</td>
<td/>
<td/>
<td/>
<td valign="top" align="left"><xref ref-type="bibr" rid="B66">Robbins and Lisle, 2018</xref></td>
</tr>
<tr>
<td valign="top" align="left">Sabine-Neches Estuary, TX</td>
<td valign="top" align="center">&#x2019;69&#x2013;&#x2018;10</td>
<td valign="top" align="center">0.0081</td>
<td valign="top" align="center">7.0</td>
<td/>
<td/>
<td valign="top" align="left"><xref ref-type="bibr" rid="B36">Hu et al., 2015</xref></td>
</tr>
<tr>
<td valign="top" align="left">Trinity San-Jacinto Estuary, TX</td>
<td valign="top" align="center">&#x2019;69&#x2013;&#x2018;10</td>
<td valign="top" align="center">&#x2212;0.0068 to 0 <xref ref-type="table-fn" rid="t1fne"><sup>e</sup></xref></td>
<td valign="top" align="center">&#x2212;4.9 to 2.6 <xref ref-type="table-fn" rid="t1fne"><sup>e</sup></xref></td>
<td/>
<td/>
<td valign="top" align="left"><xref ref-type="bibr" rid="B36">Hu et al., 2015</xref></td>
</tr>
<tr>
<td valign="top" align="left">Lavaca-Colorado Estuary, TX</td>
<td valign="top" align="center">&#x2019;69&#x2013;&#x2018;10</td>
<td valign="top" align="center">&#x2212;0.0056 to 0 <xref ref-type="table-fn" rid="t1fne"><sup>e</sup></xref></td>
<td valign="top" align="center">&#x2212;19.3 to (&#x2212;3.6) <xref ref-type="table-fn" rid="t1fne"><sup>e</sup></xref></td>
<td/>
<td/>
<td valign="top" align="left"><xref ref-type="bibr" rid="B36">Hu et al., 2015</xref></td>
</tr>
<tr>
<td valign="top" align="left">Guadalupe Estuary, TX</td>
<td valign="top" align="center">&#x2019;69&#x2013;&#x2018;10</td>
<td valign="top" align="center">&#x2212;0.0041 <xref ref-type="table-fn" rid="t1fne"><sup>e</sup></xref></td>
<td valign="top" align="center">&#x2212;17.0 <xref ref-type="table-fn" rid="t1fne"><sup>e</sup></xref></td>
<td/>
<td/>
<td valign="top" align="left"><xref ref-type="bibr" rid="B36">Hu et al., 2015</xref></td>
</tr>
<tr>
<td valign="top" align="left">Mission-Aransas Estuary, TX</td>
<td valign="top" align="center">&#x2019;69&#x2013;&#x2018;10</td>
<td valign="top" align="center">&#x2212;0.0026 to 0 <xref ref-type="table-fn" rid="t1fne"><sup>e</sup></xref></td>
<td valign="top" align="center">&#x2212;12.2 to (&#x2212;7.9) <xref ref-type="table-fn" rid="t1fne"><sup>e</sup></xref></td>
<td/>
<td/>
<td valign="top" align="left"><xref ref-type="bibr" rid="B36">Hu et al., 2015</xref></td>
</tr>
<tr>
<td valign="top" align="left">Nueces Estuary, TX</td>
<td valign="top" align="center">&#x2019;69&#x2013;&#x2018;10</td>
<td valign="top" align="center">&#x2212;0.0063 to 0 <xref ref-type="table-fn" rid="t1fne"><sup>e</sup></xref></td>
<td valign="top" align="center">&#x2212;8.4 to 0 <xref ref-type="table-fn" rid="t1fne"><sup>e</sup></xref></td>
<td/>
<td/>
<td valign="top" align="left"><xref ref-type="bibr" rid="B36">Hu et al., 2015</xref></td>
</tr>
<tr>
<td valign="top" align="left">Laguna Madre Estuary, TX</td>
<td valign="top" align="center">&#x2019;69&#x2013;&#x2018;10</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">&#x2212;7.6 to 0</td>
<td/>
<td/>
<td valign="top" align="left"><xref ref-type="bibr" rid="B36">Hu et al., 2015</xref></td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn id="t1fna"><p><italic><sup>a</sup>Summertime annual trend is provided (the study also reported springtime trends).</italic></p></fn>
<fn id="t1fnb"><p><italic><sup>b</sup>Trends reported within each estuary are the range (min&#x2014;max) of rates of change reported for stations/bays within each estuary.</italic></p></fn>
<fn id="t1fnc"><p><italic><sup>c</sup>Surface water trend is reported (the study reported surface and bottom).</italic></p></fn>
<fn id="t1fnd"><p><italic><sup>d</sup>Bottom water trend is reported (the study reported surface and bottom).</italic></p></fn>
<fn id="t1fne"><p><italic><sup>e</sup>Parameter values used in regression for trend were calculated rather than measured.</italic></p></fn>
</table-wrap-foot>
</table-wrap>
<p>Like many other coastal areas (e.g., <xref ref-type="bibr" rid="B68">Scanes et al., 2020</xref>; <xref ref-type="bibr" rid="B19">Da et al., 2021</xref>), the nwGOM estuaries have experienced gradual but significant warming over the past decades, with the overall warming rate of 0.0428&#x00B0;C yr<sup>&#x2013;1</sup> (<xref ref-type="bibr" rid="B49">Montagna et al., 2011b</xref>). This change alone would lead to 1&#x2013;2 &#x03BC;atm yr<sup>&#x2013;1</sup> increase in <italic>p</italic>CO<sub>2</sub> and &#x223C;0.0004&#x2013;0.0006 yr<sup>&#x2013;1</sup> decrease in pH, based on the average water chemistry parameters and an average temperature of 25&#x00B0;C in <xref ref-type="supplementary-material" rid="DS1">Supplementary Table 2</xref>. It appears that warming alone would explain a small fraction of the observed trends, as carbonate equilibrium would shift toward higher <italic>p</italic>CO<sub>2</sub> and lower pH (<xref ref-type="table" rid="T1">Table 1</xref>). However, warming can also lead to enhanced aquatic respiration (e.g., <xref ref-type="bibr" rid="B35">Hopkinson and Smith, 2005</xref>; <xref ref-type="bibr" rid="B55">Ni et al., 2019</xref>), which can further increase <italic>p</italic>CO<sub>2</sub> and tilt the NEM balance toward heterotrophy. There is evidence of this shift in NEM in a portion of NE (Corpus Christi Bay, based on a 1982&#x2013;2002 dataset), where the decrease in surface dissolved oxygen (DO) concentration exceeds that which can be explained by thermally induced oxygen solubility decrease (<xref ref-type="bibr" rid="B2">Applebaum et al., 2005</xref>). Similarly, Galveston Bay also exhibits declining DO in its subbays (<xref ref-type="bibr" rid="B32">Gonzalez, 2011</xref>) as this highly urbanized estuary undergoes eutrophication (<xref ref-type="bibr" rid="B7">Bugica et al., 2020</xref>).</p>
<p>For the few sites that showed decreasing <italic>p</italic>CO<sub>2</sub> over time, the SNE, NE, and LM sites all had increases in pH and decreasing TA (or DIC for the LM site), while the two MAE sites with decreasing <italic>p</italic>CO<sub>2</sub> trends both had decreasing TA and either decreasing or no trend in pH (<xref ref-type="supplementary-material" rid="DS1">Supplementary Table 1</xref>). A change in hydrological conditions might explain these trends, as reduction of alkaline freshwater leads to TA decrease and presumably freshwater has higher <italic>p</italic>CO<sub>2</sub> than the ocean water (<xref ref-type="bibr" rid="B36">Hu et al., 2015</xref>). Meanwhile, reduced freshwater input could hamper the delivery of organic matter, hence the <italic>p</italic>CO<sub>2</sub> trends at these stations indeed reflected the lower estimates because of the assumption of non-variant organic alkalinity in the speciation calculations. Our ongoing study at MAE may shed light on this issue in the future with better quality carbonate chemistry characterization.</p>
</sec>
<sec id="S4.SS3">
<title>Implications of Long-Term Trends</title>
<p>Trends in <italic>p</italic>CO<sub>2</sub> have implications for air-water CO<sub>2</sub> flux (<xref ref-type="bibr" rid="B42">Landsch&#x00FC;tzer et al., 2013</xref>). Given that air-water CO<sub>2</sub> flux is a function of the gradient between atmospheric and surface water <italic>p</italic>CO<sub>2</sub>, long-term trends in <italic>p</italic>CO<sub>2</sub> of surface water that differ from long-term trends of atmospheric CO<sub>2</sub> indicate changes in the water&#x2019;s magnitude of a carbon sink (absorbs atmospheric CO<sub>2</sub>) or carbon source (outgasses CO<sub>2</sub> to the atmosphere) (<xref ref-type="bibr" rid="B42">Landsch&#x00FC;tzer et al., 2013</xref>). For comparison to <italic>p</italic>CO<sub>2</sub> trends in estuaries, the average annual change in atmospheric <italic>p</italic>CO<sub>2</sub> between 1974 and 2015 was 1.72 &#x03BC;atm yr<sup>&#x2013;&#x2013;1</sup>.<sup><xref ref-type="fn" rid="footnote1">1</xref></sup> Given that the majority of the stations throughout the nwGOM estuaries have experienced increasing <italic>p</italic>CO<sub>2</sub> exceeding the atmospheric rate (<xref ref-type="fig" rid="F6">Figures 6C,D</xref>, and <xref ref-type="supplementary-material" rid="DS1">Supplementary Table 1</xref>), and given that estuaries tended to have <italic>p</italic>CO<sub>2</sub> higher than that of the atmosphere (<xref ref-type="supplementary-material" rid="DS1">Supplementary Table 1</xref>), we can safely conclude that the nwGOM estuaries have increased in their level of CO<sub>2</sub> outgassing over the observed decades.</p>
<p>Rates of increase in <italic>p</italic>CO<sub>2</sub> were generally higher across all nwGOM estuaries than surface ocean <italic>p</italic>CO<sub>2</sub> trends (1.88 &#x03BC;atm yr<sup>&#x2013;1</sup>; <xref ref-type="bibr" rid="B22">Doney, 2010</xref>). This elevated <italic>p</italic>CO<sub>2</sub> increase relative to the global ocean has also been observed across the entire nwGOM coastal ocean (3.20 &#x03BC;atm yr<sup>&#x2013;1</sup>; <xref ref-type="bibr" rid="B40">Kealoha et al., 2020</xref>). Individual estuarine stations that had increasing <italic>p</italic>CO<sub>2</sub> in this study nearly always exceeded the rate found for the nwGOM coastal ocean, which would indicate that advection of estuarine waters into the coastal GOM may increase coastal <italic>p</italic>CO<sub>2</sub> trends. However, given the lack of significant long-term trends across all estuarine stations, it is possible that better estuarine sampling coverage would reveal a spatially weighted mean similar to or less than the adjacent coastal ocean.</p>
<p>CO<sub>2</sub> flux estimates from recent years in the nwGOM estuaries have been shown to vary between estuaries, with MAE and NE acting as mild CO<sub>2</sub> sources (6.9 &#x00B1; 6.5 and 2.7 &#x00B1; 8.1&#x00B0;C m<sup>&#x2013;2</sup> d<sup>&#x2013;1</sup>, respectively) and GE and LCE acting as moderate CO<sub>2</sub> sources (35.9 &#x00B1; 24.2 and 25.6 &#x00B1; 28.8&#x00B0;C m<sup>&#x2013;2</sup> d<sup>&#x2013;1</sup>, respectively) on an annual basis (<xref ref-type="bibr" rid="B82">Yao et al., 2020</xref>). Wet/dry cycles play a substantial role in the interannual variability of CO<sub>2</sub> fluxes in the region (<xref ref-type="bibr" rid="B82">Yao et al., 2020</xref>). As <italic>p</italic>CO<sub>2</sub> trends have varied between increasing and decreasing in NE and MAE, the flux in there may not have changed drastically over the past decades. However, <italic>p</italic>CO<sub>2</sub> is clearly increasing in LCE, indicating that it likely had lower CO<sub>2</sub> fluxes decades ago. <xref ref-type="bibr" rid="B82">Yao et al. (2020)</xref> did not consider the two northernmost (SNE and TSJ) nor the southernmost (LM) estuaries. Due to SNE and LM experiencing the extremes of substantial precipitation and evaporation gradients, their carbonate system characteristics differed greatly from the other estuaries in the nwGOM (<xref ref-type="fig" rid="F5">Figure 5</xref>), as did the long-term trends that they have experienced (<xref ref-type="fig" rid="F4">Figure 4</xref> and <xref ref-type="supplementary-material" rid="DS1">Supplementary Table 1</xref>). It is important to understand long-term trends such as these when fluxes are applied to regional or global carbon budgets.</p>
<p>Trends in &#x03A9;<sub>Ar</sub> have implications for biological calcification as well as calcium carbonate preservation and burial (<xref ref-type="bibr" rid="B25">Fabry et al., 2008</xref>; <xref ref-type="bibr" rid="B78">Waldbusser et al., 2015</xref>). The nwGOM estuaries is inhabited by Eastern Oysters, ecologically and economically important species that require suitable carbonate chemistry to build and maintain their shells (<xref ref-type="bibr" rid="B9">Buzan et al., 2009</xref>; <xref ref-type="bibr" rid="B58">Pollack et al., 2011</xref>; <xref ref-type="bibr" rid="B6">Beseres Pollack et al., 2013</xref>). With the exception of SNE, nwGOM estuaries have generally remained supersaturated with respect to aragonite (<xref ref-type="supplementary-material" rid="DS1">Supplementary Table 2</xref>), but even slight decreases in &#x03A9;<sub>Ar</sub> while still maintaining supersaturation have been shown to negatively affect calcifying organisms (<xref ref-type="bibr" rid="B30">Gattuso, 1998</xref>). Trends in &#x03A9;<sub>Ar</sub> in the nwGOM estuaries were generally decreasing, except for LM (<xref ref-type="fig" rid="F4">Figure 4</xref>). Given that &#x03A9;<sub>Ar</sub> still remains well above saturation (except for SNE), carbonate chemistry is likely a secondary stressor to changes in salinity in the region. Oyster populations have always been more abundant in the lower-salinity estuaries of the Texas coast (<xref ref-type="bibr" rid="B52">Montagna et al., 2007</xref>), but salinity has been increasing along much of the Texas coast over past decades (<xref ref-type="bibr" rid="B7">Bugica et al., 2020</xref>), potentially threatening oysters with increased predation, increased disease, decreased settlement, and salinity tolerance that is further compromised by increasing water temperature (<xref ref-type="bibr" rid="B77">VanderKooy, 2012</xref>). Despite the more pressing threat, this declining trend in &#x03A9;<sub>Ar</sub> may have already reduced biological calcification rates over past decades, and if the trend continues it may threaten the shell budget and subsequently threaten sustained oyster populations into the future (<xref ref-type="bibr" rid="B59">Powell and Klinck, 2007</xref>. It is also worth noting that the estuary that has experienced the greatest rate of decrease in &#x03A9;<sub>Ar</sub> (TSJ, <xref ref-type="fig" rid="F4">Figure 4E</xref>) is also the estuary with the heaviest reliance on commercial oyster harvests.</p>
<p>Trends in buffer factors have implications for fluctuations in other carbonate system parameters, and &#x03B2;<sub>DIC</sub> is particularly indicative of changes in pH. As noted by <xref ref-type="bibr" rid="B36">Hu et al. (2015)</xref>, those stations with decreasing pH had a much higher rate of decrease than that in the open ocean, which is around 0.0017 yr<sup>&#x2013;1</sup> (<xref ref-type="bibr" rid="B33">Gonz&#x00E1;lez-D&#x00E1;vila et al., 2007</xref>; <xref ref-type="bibr" rid="B10">Byrne et al., 2010</xref>; <xref ref-type="supplementary-material" rid="DS1">Supplementary Table 1</xref>). The long-term decreases that have been observed in &#x03B2;<sub>DIC</sub> in the nwGOM estuaries over the past several decades indicate that the pH response of these systems has become increasingly sensitive to DIC additions. Therefore, short-term processes like the stratification and development of hypoxia that can occur in the region (<xref ref-type="bibr" rid="B2">Applebaum et al., 2005</xref>; <xref ref-type="bibr" rid="B44">McCutcheon et al., 2019</xref>) or long-term processes like decreasing freshwater inflow or increasing atmospheric CO<sub>2</sub> all have the potential to cause greater fluctuations and disruption to the pH now than the same processes would have decades ago. This long-term decrease in buffer capacity and increase in potential for change has been described in ocean environments previously (<xref ref-type="bibr" rid="B69">Shaw et al., 2013</xref>), but it has never explicitly been noted in estuarine environments. Despite this decrease in &#x03B2;<sub>DIC</sub>, &#x03B2;<sub>DIC</sub> is generally high in nwGOM estuaries, often exceeding the values in nwGOM open water, &#x223C;0.26&#x2013;0.29 mmol kg<sup>&#x2013;1</sup> (<xref ref-type="fig" rid="F6">Figures 6E,F</xref>) when buffer capacity is generally lower in estuarine waters.</p>
</sec>
</sec>
<sec id="S5" sec-type="conclusion">
<title>Conclusion</title>
<p>This study used the TCEQ SWQM&#x2019;s data record to examine long-term trends and spatial relationships in the carbonate system in the estuaries of the nwGOM. This dataset provides much more spatially and temporally extensive data than any current datasets collected by academic laboratories, and unlike many other regional monitoring programs, TCEQ has routinely monitored both pH and TA, making this one of the longest running estuarine datasets in the world that allows the calculation of the complete carbonate system. Carbonate system parameters&#x2014;<italic>p</italic>CO<sub>2</sub>, DIC, &#x03A9;<sub>Ar</sub>, and &#x03B2;<sub>DIC</sub>&#x2014;were calculated for each observation at the 54 stations where monitoring occurred for 20 + years. The mean carbonate system parameters varied between estuaries, with salinity, pH, TA, DIC, &#x03A9;<sub>Ar</sub>, and &#x03B2;<sub>DIC</sub> generally increasing from north to south. Smaller differences in means could also be observed within estuaries between primary and secondary bays.</p>
<p>Long-term trends in calculated parameters were investigated at each station using Theil-Sen regression. The northernmost and southernmost estuaries in the region often varied greatly from the other estuaries in their long-term trends. The central five estuaries (except for select stations near direct river input) have generally experienced long-term increases in <italic>p</italic>CO<sub>2</sub> and decreases in DIC, &#x03A9;<sub>Ar</sub>, and &#x03B2;<sub>DIC</sub> over past decades, and the magnitude of change generally increased from north to south. At all stations with increasing <italic>p</italic>CO<sub>2</sub>, the rate of increase was greater than in the atmosphere, indicating that the estuaries have become an increasing source of CO<sub>2</sub> to the atmosphere. These increasing trends may be partially attributed to warming that have altered estuarine NEM, and a few stations with decreasing trend may be caused by reduction in the alkaline river water input. The decrease in &#x03A9;<sub>Ar</sub>, while not yet nearing undersaturation, already has the potential to negatively affect calcifying organisms. The decreasing &#x03B2;<sub>DIC</sub> indicates that the estuaries have been experiencing greater decrease in pH relative to a given addition of DIC over time. Given that propagated error associated with calculated carbonate system parameters can be relatively large, propagated error was calculated and incorporated into simulations to validate the long-term trends. Simulation analyses generally found the same sign and magnitude of long-term trends, with only a few stations as exceptions.</p>
</sec>
<sec id="S6" sec-type="data-availability">
<title>Data Availability Statement</title>
<p>Publicly available datasets were analyzed in this study. This data can be found here: <ext-link ext-link-type="uri" xlink:href="https://www80.tceq.texas.gov/SwqmisPublic/index.htm">https://www80.tceq.texas.gov/SwqmisPublic/index.htm</ext-link>.</p>
</sec>
<sec id="S7">
<title>Author Contributions</title>
<p>MM was responsible for the formal analysis, investigation, and the writing of the original draft. XH was responsible for conceptualization, validation, review and editing of writing, and funding acquisition. Both authors contributed to the article and approved the submitted version.</p>
</sec>
<sec id="conf1" sec-type="COI-statement">
<title>Conflict of Interest</title>
<p>The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec id="pudiscl1" sec-type="disclaimer">
<title>Publisher&#x2019;s Note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
</body>
<back>
<sec id="S8" sec-type="funding-information">
<title>Funding</title>
<p>This study was supported by the National Science Foundation (OCE#1654232).</p>
</sec>
<ack>
<p>We are grateful to the Texas Commission on Environmental Quality for maintaining the large-scale effort of their Surface Water Quality Monitoring program for several decades and making those data publicly available. We thank to Jason Selwyn for consultation on the long-term trend simulation analysis and to Blair Sterba-Boatwright for consultation on the outlier removal technique.</p>
</ack>
<sec id="S10" sec-type="supplementary-material">
<title>Supplementary Material</title>
<p>The Supplementary Material for this article can be found online at: <ext-link ext-link-type="uri" xlink:href="https://www.frontiersin.org/articles/10.3389/fmars.2022.793065/full#supplementary-material">https://www.frontiersin.org/articles/10.3389/fmars.2022.793065/full#supplementary-material</ext-link></p>
<supplementary-material xlink:href="Data_Sheet_1.pdf" id="DS1" mimetype="application/pdf" xmlns:xlink="http://www.w3.org/1999/xlink"/>
</sec>
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