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  <front>
    <journal-meta><journal-id journal-id-type="publisher">BG</journal-id><journal-title-group>
    <journal-title>Biogeosciences</journal-title>
    <abbrev-journal-title abbrev-type="publisher">BG</abbrev-journal-title><abbrev-journal-title abbrev-type="nlm-ta">Biogeosciences</abbrev-journal-title>
  </journal-title-group><issn pub-type="epub">1726-4189</issn><publisher>
    <publisher-name>Copernicus Publications</publisher-name>
    <publisher-loc>Göttingen, Germany</publisher-loc>
  </publisher></journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.5194/bg-22-7309-2025</article-id><title-group><article-title>Water property variability into a semi-enclosed sea dominated by dynamics, modulated by properties</article-title><alt-title>Water property variability into a semi-enclosed sea</alt-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Beutel</surname><given-names>Becca</given-names></name>
          <email>rbeutel@student.ubc.ca</email>
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Allen</surname><given-names>Susan E.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-2079-6520</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Xiong</surname><given-names>Jilian</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-0099-5605</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Cullen</surname><given-names>Jay T.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-6484-2421</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Anderlini</surname><given-names>Tia</given-names></name>
          
        </contrib>
        <aff id="aff1"><label>1</label><institution>Department of Earth, Ocean and Atmospheric Sciences, University of British Columbia, Vancouver, BC, Canada</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>School of Oceanography, University of Washington, Seattle, WA, USA</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>School of Earth and Ocean Sciences, University of Victoria, Victoria, BC, Canada</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Becca Beutel (rbeutel@student.ubc.ca)</corresp></author-notes><pub-date><day>27</day><month>November</month><year>2025</year></pub-date>
      
      <volume>22</volume>
      <issue>22</issue>
      <fpage>7309</fpage><lpage>7336</lpage>
      <history>
        <date date-type="received"><day>3</day><month>July</month><year>2025</year></date>
           <date date-type="rev-request"><day>7</day><month>August</month><year>2025</year></date>
           <date date-type="rev-recd"><day>18</day><month>October</month><year>2025</year></date>
           <date date-type="accepted"><day>20</day><month>October</month><year>2025</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2025 Becca Beutel et al.</copyright-statement>
        <copyright-year>2025</copyright-year>
      <license license-type="open-access"><license-p>This work is licensed under the Creative Commons Attribution 4.0 International License. To view a copy of this licence, visit <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">https://creativecommons.org/licenses/by/4.0/</ext-link></license-p></license></permissions><self-uri xlink:href="https://bg.copernicus.org/articles/22/7309/2025/bg-22-7309-2025.html">This article is available from https://bg.copernicus.org/articles/22/7309/2025/bg-22-7309-2025.html</self-uri><self-uri xlink:href="https://bg.copernicus.org/articles/22/7309/2025/bg-22-7309-2025.pdf">The full text article is available as a PDF file from https://bg.copernicus.org/articles/22/7309/2025/bg-22-7309-2025.pdf</self-uri>
      <abstract><title>Abstract</title>

      <p id="d2e131">The biogeochemistry of the Salish Sea is strongly connected to its Pacific Ocean inflow through Juan de Fuca Strait (JdF), which varies seasonally and interannually in both volume and property flux. Long-term trends in warming, acidification, and deoxygenation are a concern in the region, and inflow variability influences the flux of tracers potentially contributing to these threats in the Salish Sea. Using ten years (2014–2023, inclusive) of Lagrangian particle tracking from JdF, we quantified the contributions of distinct Pacific source waters to interannual variability in JdF inflow and its biogeochemical properties. We decompose variability in salinity, temperature, dissolved oxygen, nitrate, and carbonate system tracers into components arising from changes in water source transport (dynamical variability) and changes in source properties (property variability). Observations in the region provide insight into source water processes not resolvable in the Lagrangian simulations, including denitrification and trace metal supply. Deep source waters dominate total inflow volume and drive variability in nitrate flux through changes in transport. Shallow source waters, particularly south shelf water, exhibit greater interannual variability and disproportionately affect temperature, oxygen, and [TA–DIC], driving change through both dynamical and property variability. This study highlights the combined roles of circulation and source water properties in shaping biogeochemical variability in a semi-enclosed sea, and how these roles differ between biogeochemical tracers. It provides a framework for attributing flux changes to specific source waters and physical and biogeochemical drivers, with implications for forecasting coastal ocean change under future climate scenarios.</p>
  </abstract>
    
<funding-group>
<award-group id="gs1">
<funding-source>Natural Sciences and Engineering Research Council of Canada</funding-source>
<award-id>CGS-D</award-id>
<award-id>Discovery RGPIN-2022-03112</award-id>
</award-group>
<award-group id="gs2">
<funding-source>Compute Canada</funding-source>
<award-id>RRG 2648-RAC 2019</award-id>
</award-group>
</funding-group>
</article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d2e143">Coastal regions are critical interfaces between land and ocean, supporting diverse ecosystems and large population density <xref ref-type="bibr" rid="bib1.bibx30" id="paren.1"/>. Despite their accessibility compared to the open ocean, coastal oceanography remains challenging due to the high spatial and temporal variability of these areas. The resolution possible in world ocean models is too low to capture the high spatial variability in coastal areas, including intricate bathymetry, riverine inputs <xref ref-type="bibr" rid="bib1.bibx119" id="paren.2"><named-content content-type="pre">e.g.,</named-content></xref>, or the coastal-trapped waves that can impact nearshore dynamics and properties far afield <xref ref-type="bibr" rid="bib1.bibx43 bib1.bibx20" id="paren.3"/>. The physical, chemical, and biological conditions in coastal areas are inextricably connected to large scale processes, yet exhibit spatial and temporal variability orders of magnitude greater than the open ocean <xref ref-type="bibr" rid="bib1.bibx44 bib1.bibx26" id="paren.4"><named-content content-type="pre">e.g.,</named-content></xref>. Evaluating the extent to which offshore processes influence coastal regions is necessary for estimating the impacts of projected changes to coastal circulation and properties.</p>
      <p id="d2e162">Water masses, distinct oceanic bodies defined by their properties, serve as tools for tracing connectivity and biogeochemical transport across regions. There is evidence of Pacific Equatorial Water (PEW), for example, 11 000 km north of its equatorial origin <xref ref-type="bibr" rid="bib1.bibx120" id="paren.5"/>. While often defined according to their salinity and temperature, water masses are biogeochemical conduits; in addition to being warm and high in salinity, the PEW is an important nutrient source and has been linked to hypoxic conditions far afield <xref ref-type="bibr" rid="bib1.bibx120 bib1.bibx14" id="paren.6"/>. Variations in water mass dynamics <xref ref-type="bibr" rid="bib1.bibx71 bib1.bibx66" id="paren.7"><named-content content-type="pre">e.g.,</named-content></xref> and their properties <xref ref-type="bibr" rid="bib1.bibx68 bib1.bibx75" id="paren.8"><named-content content-type="pre">e.g.,</named-content></xref> – both interannual and long-term – can significantly impact the biogeochemical conditions of coastal areas.</p>
      <p id="d2e181">The Salish Sea (Fig. <xref ref-type="fig" rid="F1"/>), a semi-enclosed sea in the Northeast Pacific Ocean (Sect. <xref ref-type="sec" rid="Ch1.S2"/>), provides an ideal case study for examining the relationship between source water variability and coastal biogeochemistry. This densely populated region is strongly influenced by oceanic inflows that vary seasonally in origin and properties <xref ref-type="bibr" rid="bib1.bibx18 bib1.bibx8 bib1.bibx90" id="paren.9"/>. Interannual variability in shelf and Salish Sea inflow properties <xref ref-type="bibr" rid="bib1.bibx1 bib1.bibx8 bib1.bibx112" id="paren.10"/> and in the region’s ecological composition <xref ref-type="bibr" rid="bib1.bibx35 bib1.bibx79" id="paren.11"/>, point to deviations from the typical seasonal cycle, changes in source water characteristics, or both. Understanding the mechanisms that drive this variability is particularly urgent as long-term climate trends alter both circulation patterns and the biogeochemical properties of Pacific source waters.</p>
      <p id="d2e197">This study investigates how biogeochemical variability in the Salish Sea connects to the dynamical and property variability of inflowing source waters over a period of ten years. Through a combination of model output and observations, we attempt to attribute biogeochemical changes to specific source waters and their modes of interannual variability. By doing so we provide insights into the mechanisms driving variability in this coastal system and discuss the implications under a changing climate.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Regional Overview</title>
      <p id="d2e208">The Salish Sea's largest connection to the Pacific, Juan de Fuca Strait (JdF), functions like a fjord-like estuary with dense Pacific inflow below brackish strait outflow. Exchange is driven by the discharge of the region's many rivers and the salinity difference between the Sea and the adjacent shelf waters and is sensitive to tides, winds, and gravitational circulation <xref ref-type="bibr" rid="bib1.bibx84" id="paren.12"/>. Inflow through JdF is the largest source of many biologically significant constituents to the Salish Sea, such as nutrients like nitrate (<inline-formula><mml:math id="M1" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>; <xref ref-type="bibr" rid="bib1.bibx72 bib1.bibx86" id="altparen.13"/>)  dissolved inorganic carbon (DIC) and total alkalinity (TA; <xref ref-type="bibr" rid="bib1.bibx69" id="altparen.14"/>), trace metals like cadmium (Cd; <xref ref-type="bibr" rid="bib1.bibx74" id="altparen.15"/>), and temperature anomalies <xref ref-type="bibr" rid="bib1.bibx73" id="paren.16"/>. These constituent loads exhibit significant temporal variability. For instance, <inline-formula><mml:math id="M2" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> inflow concentrations, observed over ten years, had a standard deviation equal to 65 % of the mean annual load <xref ref-type="bibr" rid="bib1.bibx115" id="paren.17"/>.  Variations in JdF inflow loads are influenced by a complex interplay of local and remote shelf dynamics, as well as large-scale Pacific circulation.</p>
      <p id="d2e252">Typical seasonal variation on the shelf near the entrance to JdF is directly linked to wind forcing <xref ref-type="bibr" rid="bib1.bibx18 bib1.bibx8" id="paren.18"/>. Poleward wind drives downwelling in the region (predominantly from October 17 <inline-formula><mml:math id="M3" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 17 d to April 9 <inline-formula><mml:math id="M4" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 29 d; <xref ref-type="bibr" rid="bib1.bibx65" id="altparen.19"/>), and local water primarily originates from the southern shelf and continental slope.  Under strong poleward winds, outflow from the Columbia River, located 200 km to the south of the mouth of JdF, can also contribute to the inflow <xref ref-type="bibr" rid="bib1.bibx55" id="paren.20"/>. Winds shift to upwelling favourable in the summer months. During upwelling, water originates from the northern shelf and offshore, generally within the top 300 m of the water column  <xref ref-type="bibr" rid="bib1.bibx8" id="paren.21"/>. The contrasting properties of downwelled (less dense, fresher, more oxygen-rich, and nutrient- and DIC-poor) and upwelled water account for much of the seasonal variability in JdF inflow  <xref ref-type="bibr" rid="bib1.bibx90" id="paren.22"/>. However, these differences alone do not explain interannual variability <xref ref-type="bibr" rid="bib1.bibx8" id="paren.23"/>.</p>
      <p id="d2e288">The Salish Sea is located at the northernmost end of the California Current System (CCS), an eastern boundary current system located between the North Pacific Gyre and the western coast of North America, spanning <inline-formula><mml:math id="M5" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">50</mml:mn></mml:mrow></mml:math></inline-formula>° N (Northern Vancouver Island, Canada) to <inline-formula><mml:math id="M6" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 15–25° N (Baja California, Mexico) <xref ref-type="bibr" rid="bib1.bibx27" id="paren.24"/>. However, the latitude of the northern limit of the CCS fluctuates due to variations in the location and strength of the Aleutian Low, which pushes the CCS southward during winter <xref ref-type="bibr" rid="bib1.bibx118" id="paren.25"/> and during positive phases of the Pacific Decadal Oscillation (PDO; <xref ref-type="bibr" rid="bib1.bibx131" id="altparen.26"/>), adding to interannual variability in the northern CCS. The currents in this system include the California Current (CC), the California Undercurrent (CUC), the Shelf-Break Current, the Davidson Current, and the Columbia River Plume. The strength, depth, and spatial extent of these currents have large implications for the productivity and health of the Northeast Pacific coast. Variability in the CCS, driven by remote wind or current strength and manifesting in a change in temperature and nutrient conditions, have been shown to influence the distribution and abundance of phytoplankton, the organisms that depend on them, and the reproductive success of many species <xref ref-type="bibr" rid="bib1.bibx27" id="paren.27"/>.</p>
      <p id="d2e321">The CC is the eastern arm of the North Pacific Gyre, fed by the North Pacific Current <xref ref-type="bibr" rid="bib1.bibx61" id="paren.28"/>.  The CC is broad and shallow, flowing equatorward year-round in the top 250 m and within 1000 km of the coast <xref ref-type="bibr" rid="bib1.bibx4 bib1.bibx27 bib1.bibx63" id="paren.29"/>. Interannual variability in the strength of the North Pacific Current and its relative contributions to the CC versus the Alaska Current can alter the CC's properties and strength  <xref ref-type="bibr" rid="bib1.bibx27 bib1.bibx33" id="paren.30"/>.  The CC predominantly carries Pacific Subarctic Upper Water (PSUW), a relatively cold (3–15 °C), fresh (32.6–33.7 psu), and oxygen-rich (204–279 <inline-formula><mml:math id="M7" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>mol kg<sup>−1</sup>) water mass originating from the surface waters of the North Pacific  <xref ref-type="bibr" rid="bib1.bibx16 bib1.bibx120" id="paren.31"/>. Its core is situated around the 25.8 <inline-formula><mml:math id="M9" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mi>t</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> density surface <xref ref-type="bibr" rid="bib1.bibx16" id="paren.32"/>, approximately 100 m deep in the vicinity of Vancouver Island. During upwelling, wind driven equatorward flow on the continental shelf – the Shelf-Break Current – merges with the CC, which acts as the offshore extension of the Shelf-Break Current <xref ref-type="bibr" rid="bib1.bibx120 bib1.bibx61" id="paren.33"/>. However, the Shelf-Break Current is fresher than the CC <xref ref-type="bibr" rid="bib1.bibx108" id="paren.34"/> due to the large influence of coastal rivers <xref ref-type="bibr" rid="bib1.bibx113" id="paren.35"/>.</p>
      <p id="d2e381">The CUC is the opposing subsurface flow associated with eastern boundary regions, flowing poleward year-round along the continental slope at depths between 100 and 300 m <xref ref-type="bibr" rid="bib1.bibx121 bib1.bibx120 bib1.bibx104" id="paren.36"/>. The CUC is relatively narrow, transporting a fraction of the transport of the broader CC <xref ref-type="bibr" rid="bib1.bibx121" id="paren.37"/>. Variations in CUC transport, depth, and physical properties have been linked to remote wind forcing and coastal-trapped waves originating from California and Oregon <xref ref-type="bibr" rid="bib1.bibx43 bib1.bibx121" id="paren.38"/>. The CUC carries PEW, a relatively warm (7–23 °C), saline (34.5–36.0 psu), oxygen poor (19–47 <inline-formula><mml:math id="M10" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>mol kg<sup>−1</sup>), and nutrient-rich water mass originating from mixing in the equatorial Pacific <xref ref-type="bibr" rid="bib1.bibx16 bib1.bibx120" id="paren.39"/>. The core of the CUC typically lies at the 26.55 <inline-formula><mml:math id="M12" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mi>t</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> density surface <xref ref-type="bibr" rid="bib1.bibx16" id="paren.40"/>, just shallower than 200 m near Vancouver Island <xref ref-type="bibr" rid="bib1.bibx121" id="paren.41"/>. As it travels northward, the CUC undergoes mixing and sheds PEW, resulting in a composition of approximately 30 % PEW and 70 % PSUW by the time it reaches Vancouver Island <xref ref-type="bibr" rid="bib1.bibx120" id="paren.42"/>.</p>
      <p id="d2e437">During downwelling, the Shelf-Break Current is replaced by the poleward flowing Davidson current, which transports southern shelf water to the region and spans farther offshore than the continental slope <xref ref-type="bibr" rid="bib1.bibx120" id="paren.43"/>. The Davidson current flows faster <xref ref-type="bibr" rid="bib1.bibx55 bib1.bibx121 bib1.bibx91" id="paren.44"/> and at significantly shallower depths (surface to <inline-formula><mml:math id="M13" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 200 m, the depth of the shelf-break), making it spatially distinct from the CUC as well as distinct in the properties it carries. Water transported by the Davidson current is colder and fresher than CUC water <xref ref-type="bibr" rid="bib1.bibx108" id="paren.45"/>, likely due to the influence of coastal river discharge <xref ref-type="bibr" rid="bib1.bibx91" id="paren.46"/>.</p>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Methods</title>
      <p id="d2e467">This study utilizes a coupled physical-biogeochemical ocean model to integrate a widely used physical oceanographic technique – simulation-based Lagrangian flow (Sect. <xref ref-type="sec" rid="Ch1.S3.SS2"/>) – with observations of chemical tracers. This section outlines the model, describes the simulation and analysis techniques, and details the sources and application of the observational data.</p>
<sec id="Ch1.S3.SS1">
  <label>3.1</label><title>Physical-Biogeochemical Ocean Model: LiveOcean</title>
      <p id="d2e480">LiveOcean (Fig. <xref ref-type="fig" rid="F1"/>) is a 3D physical-biogeochemical ocean model developed by the University of Washington Coastal Modelling Group <xref ref-type="bibr" rid="bib1.bibx85" id="paren.47"/>. The LiveOcean model used in this study uses the Regional Ocean Modelling System (ROMS) version 4.2 architecture <xref ref-type="bibr" rid="bib1.bibx110 bib1.bibx59" id="paren.48"/>. A detailed description of the previous iteration of LiveOcean is provided in <xref ref-type="bibr" rid="bib1.bibx85" id="text.49"/> with updates to the model outlined in <xref ref-type="bibr" rid="bib1.bibx128" id="text.50"/>. Notable improvements to the new iteration of LiveOcean are separating dissolved organic nitrogen (DIN) into <inline-formula><mml:math id="M14" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M15" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (greatly improving <inline-formula><mml:math id="M16" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> estimates), including precipitation and evaporation (decreasing the surface salinity error), making the vertical and horizontal advection scheme of biological tracers consistent with that of salinity and temperature, and accounting for more small rivers and including biogeochemical constituents in their outflow  <xref ref-type="bibr" rid="bib1.bibx128" id="paren.51"/>. The version of LiveOcean used in this study was initialized on 7 October  2012 and continues to run with the settings described below as of the submission of this article.</p>

      <fig id="F1" specific-use="star"><label>Figure 1</label><caption><p id="d2e536">Map of the the LiveOcean domain with bathymetry. The Salish Sea is located along the coast of British Columbia and Washington (the division between Canada and United States, <inline-formula><mml:math id="M17" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">49</mml:mn></mml:mrow></mml:math></inline-formula>° N, is shown by a dashed black line in the main map), and is enclosed by Vancouver Island. The simulation initialization boundary, inland of the mouth of JdF, is shown by a green line, while the domain boundaries (North, Offshore, and South) are shown in pink. The location of moorings employed to determine the upwelling and downwelling run-dates (A1 and CE07) are highlighted by red stars. The inset map shows the boundaries of LiveOcean (red box) in the larger context of the Northeast Pacific Ocean. Observations used for source water definitions are divided based on 200 and 2000 m isobars, in grey, with the offshore, slope, and shelf observations in differing shades of blue. The cutoff between the north and south areas of analysis are shown with orange lines over the shelf and slope (Table <xref ref-type="table" rid="T1"/>).</p></caption>
          <graphic xlink:href="https://bg.copernicus.org/articles/22/7309/2025/bg-22-7309-2025-f01.jpg"/>

        </fig>

      <p id="d2e557">The model grid follows lines of constant longitude and latitude, with a horizontal resolution of approximately 500 m in most of the Salish Sea and along the Washington coast. Resolution gradually decreases to 1500 m in the northern Strait of Georgia and 3000 m near the open boundaries, the lowest resolution in the boundaries of analysis in this study is 1650 m (Fig. <xref ref-type="fig" rid="F1"/>). Vertically, the model is divided into <inline-formula><mml:math id="M18" display="inline"><mml:mrow><mml:mn mathvariant="normal">30</mml:mn><mml:mi mathvariant="italic">σ</mml:mi></mml:mrow></mml:math></inline-formula> layers, with a higher density of layers near the surface and bottom.</p>
      <p id="d2e573">The conditions of all three open boundaries are based upon fields from the global HYCOM model <xref ref-type="bibr" rid="bib1.bibx95" id="paren.52"/>, with daily velocities, temperature, salinity, and sea surface height (ssh) smoothed to remove inertial oscillations. Biogeochemical variables at the open boundaries are specified, using regressions against salinity, derived from cruise measurements <xref ref-type="bibr" rid="bib1.bibx47" id="paren.53"/>. Tides along these boundaries are forced using eight tidal components (K1, O1, P1, Q1, M2, S2, N2, and K2) from TPXO 9 <xref ref-type="bibr" rid="bib1.bibx42" id="paren.54"/>. The model's bathymetry incorporates products described in  <xref ref-type="bibr" rid="bib1.bibx49" id="text.55"/> for Puget Sound, <xref ref-type="bibr" rid="bib1.bibx114" id="text.56"/> for the remainder of the Salish Sea, and <xref ref-type="bibr" rid="bib1.bibx123" id="text.57"/> for the remainder of the model area, all smoothed for stability <xref ref-type="bibr" rid="bib1.bibx56" id="paren.58"/>. Daily average gauged flow from the United States Geographical Survey (USGS) and Environment Canada are used to force rivers. For ungauged watersheds, flow estimates are derived from nearby gauged rivers using scaling factors from <xref ref-type="bibr" rid="bib1.bibx97" id="text.59"/>. Tracer flux from rivers is specified based on local climatology <xref ref-type="bibr" rid="bib1.bibx128" id="paren.60"/>. Atmospheric forcings are from output of a Weather Research and Forecasting (WRF) model run by Dr. Cliff Mass at UW <xref ref-type="bibr" rid="bib1.bibx89" id="paren.61"/>, with a resolution of 1.4 km within most of the LiveOcean domain, 4.2 km north of 49° N or west of 126° W, and 12.5 km north of 50° N.</p>
      <p id="d2e607">The updated iteration of LiveOcean performed well in evaluations along the shelf and slope from 2014 to 2018 as detailed in <xref ref-type="bibr" rid="bib1.bibx128" id="text.62"/> and summarized here. In Supplement Sect. S1 we conduct separate evaluations for the subregions of the model, as defined in Table <xref ref-type="table" rid="T1"/>. Modelled water properties were compared to data from the Washington Department of Ecology, Department of Fisheries and Oceans (DFO), and National Centers for Environmental Information (NCEI). Water below 20 m had a RMSE (bias) of 0.3 (<inline-formula><mml:math id="M19" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.1</mml:mn></mml:mrow></mml:math></inline-formula>) <inline-formula><mml:math id="M20" display="inline"><mml:mrow><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">kg</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> for absolute salinity (<inline-formula><mml:math id="M21" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mi mathvariant="normal">A</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>), 0.7 (0.0) °C for conservative temperature, 1.1 (<inline-formula><mml:math id="M22" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.2</mml:mn></mml:mrow></mml:math></inline-formula>) <inline-formula><mml:math id="M23" display="inline"><mml:mrow><mml:mi mathvariant="normal">mg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">L</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> for dissolved oxygen (DO), 5.0 (0.0) <inline-formula><mml:math id="M24" display="inline"><mml:mrow><mml:mi mathvariant="normal">mmol</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> for <inline-formula><mml:math id="M25" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, 1.6 (0.8) <inline-formula><mml:math id="M26" display="inline"><mml:mrow><mml:mi mathvariant="normal">mmol</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> for <inline-formula><mml:math id="M27" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, 47.4 (13.5) <inline-formula><mml:math id="M28" display="inline"><mml:mrow><mml:mi mathvariant="normal">mmol</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> for DIC, and 25.5 (<inline-formula><mml:math id="M29" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2.7</mml:mn></mml:mrow></mml:math></inline-formula>) <inline-formula><mml:math id="M30" display="inline"><mml:mrow><mml:mi mathvariant="normal">mmol</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> for TA <xref ref-type="bibr" rid="bib1.bibx128" id="paren.63"/>. The high bias and RMSE of <inline-formula><mml:math id="M31" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> relative to its range in the region (0–8 <inline-formula><mml:math id="M32" display="inline"><mml:mrow><mml:mi mathvariant="normal">mmol</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) led to its removal from model analysis in this paper. Subregion evaluations (Sect. S1) revealed some differences in the bias among regions; notably, deep source waters exhibit a smaller bias in all properties compared to the shallow source waters, and northern waters overestimate DO while all other regions underestimate it.</p>
</sec>
<sec id="Ch1.S3.SS2">
  <label>3.2</label><title>Lagrangian Tracking with Ariane</title>
      <p id="d2e822">Lagrangian ocean analysis tracks the movement of free-moving entities to estimate ocean pathways by applying the Lagrangian lens of fluid dynamics <xref ref-type="bibr" rid="bib1.bibx6" id="paren.64"/>. Using time-varying velocity, and tracer fields from an ocean model, virtual particles can be simulated to behave like objects <xref ref-type="bibr" rid="bib1.bibx125" id="paren.65"><named-content content-type="pre">e.g.,</named-content></xref>, zooplankton <xref ref-type="bibr" rid="bib1.bibx19" id="paren.66"><named-content content-type="pre">e.g.,</named-content></xref>, environmental DNA <xref ref-type="bibr" rid="bib1.bibx129" id="paren.67"><named-content content-type="pre">e.g.,</named-content></xref>, and pollutants <xref ref-type="bibr" rid="bib1.bibx109" id="paren.68"><named-content content-type="pre">e.g.,</named-content></xref>. In this study, the particles are simply neutrally buoyant parcels of water, their paths and transports serve as proxies for dynamics <xref ref-type="bibr" rid="bib1.bibx60" id="paren.69"><named-content content-type="pre">e.g.,</named-content></xref>. Particles can be tracked backwards in time, allowing for source water analysis while avoiding biases inherent in seeding particles from an expected source direction <xref ref-type="bibr" rid="bib1.bibx18 bib1.bibx28 bib1.bibx34" id="paren.70"><named-content content-type="pre">e.g.,</named-content></xref>.</p>
      <p id="d2e859">Ariane is an offline Lagrangian tracking algorithm that assumes time-varying velocity changes linearly between opposite cell faces, preserving local three-dimensional non-divergence in the flow <xref ref-type="bibr" rid="bib1.bibx125 bib1.bibx10" id="paren.71"/>. This assumption means subgrid-scale mixing is not directly included within Ariane but is parameterized within the underlying numerical model (LiveOcean).  Large turbulent eddies are resolved in SalishSeaCast, a 500 m resolution model of the Salish Sea that uses LiveOcean output in its JdF boundary, such that the lack of explicit subgrid-scale mixing does not significantly alter or slow transport, even in mixing hot-spots <xref ref-type="bibr" rid="bib1.bibx2 bib1.bibx111" id="paren.72"/>. Given LiveOcean's high resolution in the model domain, particularly in higher mixing areas near the entrance to JdF, similarly low impact is expected for the simulations in this study. The exclusion of subgrid-scale mixing enables repeatable runs and backwards tracking in Ariane simulations, meaning that multiple experiments over the same domain and time will have the same results <xref ref-type="bibr" rid="bib1.bibx125 bib1.bibx10" id="paren.73"/>. Ariane supports two analysis modes: qualitative, which tracks individual parcel trajectories, and quantitative, which seeds more particles to enable volume transport analysis without saving individual trajectories. This study employed backward tracking in the quantitative mode.</p>
      <p id="d2e871">In the quantitative mode, parcels are seeded along an “initialization” section (green boundary in Fig. <xref ref-type="fig" rid="F1"/>) and tracked until they reach simulation boundaries (pink boundaries in Fig. <xref ref-type="fig" rid="F1"/>) or pass back over the initialization section (hereafter referred to as loop(ed) parcels) <xref ref-type="bibr" rid="bib1.bibx11" id="paren.74"/>. The initialization and simulation boundaries are distinct from model boundaries, they are user-defined and must follow the model grid (i.e. they cannot cut diagonally across cells). Parcels that never reach a boundary within the analysis period are classified as “lost”. Parcels are distributed across the initialization section at each time-step proportional to the transport (where transport through a cell <inline-formula><mml:math id="M33" display="inline"><mml:mi>q</mml:mi></mml:math></inline-formula> is equal to the velocity through a cell multiplied by its area, <inline-formula><mml:math id="M34" display="inline"><mml:mrow><mml:mi>q</mml:mi><mml:mo>=</mml:mo><mml:mi>u</mml:mi><mml:mo>×</mml:mo><mml:mi>A</mml:mi></mml:mrow></mml:math></inline-formula>) in each model grid cell where the direction of transport is towards the analysis domain (westward in Fig. <xref ref-type="fig" rid="F1"/>). Time-step here refers to the particle tracking time-step within Ariane, which does not need to be the same as the model output time-step, but in the case of this study are the both one hour. The number of parcels seeded, <inline-formula><mml:math id="M35" display="inline"><mml:mi>n</mml:mi></mml:math></inline-formula> per cell,  is determined by dividing <inline-formula><mml:math id="M36" display="inline"><mml:mi>q</mml:mi></mml:math></inline-formula> by the user-defined maximum transport per parcel <inline-formula><mml:math id="M37" display="inline"><mml:mrow><mml:msub><mml:mi>q</mml:mi><mml:mi mathvariant="normal">max</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M38" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mi>q</mml:mi><mml:mo>/</mml:mo><mml:msub><mml:mi>q</mml:mi><mml:mi mathvariant="normal">max</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, rounded up to the integer). Parcels are evenly distributed within the cell, and their constant volume flux <inline-formula><mml:math id="M39" display="inline"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mi>n</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M40" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) is defined as <inline-formula><mml:math id="M41" display="inline"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mi>n</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mi>q</mml:mi><mml:mo>/</mml:mo><mml:mi>n</mml:mi></mml:mrow></mml:math></inline-formula>.</p>
      <p id="d2e1002">Lagrangian particle simulations were conducted from 2014 to 2023 (inclusive), with separate runs for each upwelling,  downwelling, spring transition, and fall transition period (as defined in Sect. <xref ref-type="sec" rid="Ch1.S3.SS5"/>). Particles were continuously released over the analysis period, with each run including an additional 100 d without particle seeding to allow particles sufficient time to travel between boundaries based on histograms of crossing times in <xref ref-type="bibr" rid="bib1.bibx8" id="text.75"/> and checked again in this study (Fig. S8). Six tracers from LiveOcean were input into the simulations: <inline-formula><mml:math id="M42" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mi mathvariant="normal">A</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, temperature, DO, <inline-formula><mml:math id="M43" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, DIC, and TA; necessitating three runs per analysis period as only two tracers can be input into Ariane at a time. It should be noted that [TA-DIC] was used to study carbonate chemistry in JdF inflow, as opposed to TA and DIC individually, as the difference between the two terms can be used more effectively to investigate ocean acidification (OA; <xref ref-type="bibr" rid="bib1.bibx130" id="altparen.76"/>); a large positive [TA-DIC] indicates a high buffering capacity with respect to OA, while low or negative values indicate that the region is vulnerable to OA.</p>
      <p id="d2e1036">Looped parcels that pass back over the initialization section within 24 h of seeding (two tidal cycles) are considered “tidally pumped” parcels and are removed from analysis, the remaining looped parcels can be thought of as reflux circulation through JdF <xref ref-type="bibr" rid="bib1.bibx85" id="paren.77"/>. The transport estimates in this study are based on parcels that complete a full trajectory – from initialization either to the shelf or offshore boundaries, or return to the initialization section. Water that is already within the analysis domain (lost parcels, representing <inline-formula><mml:math id="M44" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 1 % of seeded parcels) or tidally pumped water (representing <inline-formula><mml:math id="M45" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 72 % of seeded parcels) are excluded from these estimates. As a result, the reported volumes should not be interpreted as estimates of total transport through JdF; doing so would result in a substantial underestimate <xref ref-type="bibr" rid="bib1.bibx8" id="paren.78"/>.</p>
      <p id="d2e1059">Beyond lost and looped parcels, sources were assigned based on parcel position and salinity at the point they crossed a boundary (Table <xref ref-type="table" rid="T1"/>). The analysis boundaries follow those defined in <xref ref-type="bibr" rid="bib1.bibx8" id="text.79"/>: the initialization section, south, north, and offshore, with salinity and depth thresholds redefined for LiveOcean output (Sect. S2). The location of the initialization section is set inland of the mouth of JdF to reflect waters that actually reach the sea's inner basins, or at least do to the degree found in <xref ref-type="bibr" rid="bib1.bibx8" id="text.80"/>. Despite the extension of the northern boundary to near the 2000 m isobath, water parcels originating along that boundary are defined as shallow as they predominantly (85 % of transport) intersect the boundary at depths shallower than 200 m. While south brackish water is expected to originate from the Columbia River plume <xref ref-type="bibr" rid="bib1.bibx62" id="paren.81"/>, evaluating the dominance of that source on brackish flow from the south is outside of the domain and scope of this study; other small rivers along the coast may contribute to this source. Offshore water is divided into surface and deep source waters based on the approximate offshore mixed-layer depth (Sect. S2.2).</p>

<table-wrap id="T1" specific-use="star"><label>Table 1</label><caption><p id="d2e1076">Source water definitions for the particle tracking simulation <bold>(a)</bold> and the division of observations <bold>(b)</bold> . The boundaries for particle tracking definitions refer to those shown in Fig. <xref ref-type="fig" rid="F1"/>. The regions (offshore, slope, shelf) of observations are defined by their location relative to bathymetric contours, offshore is oceanward of 2000 m, shelf is shoreward of 200 m, and slope is between the two. Note that no observations exceeding depths of 500 m were used.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="3">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="left"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry namest="col1" nameend="col2" align="center">Source </oasis:entry>
         <oasis:entry colname="col3">Definition</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row rowsep="1">
         <oasis:entry namest="col1" nameend="col3"><bold>(a)</bold> Particle Tracking Simulation </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Shallow waters</oasis:entry>
         <oasis:entry colname="col2">North Shelf</oasis:entry>
         <oasis:entry colname="col3">North boundary</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Offshore Surface</oasis:entry>
         <oasis:entry colname="col3">Offshore boundary, depth <inline-formula><mml:math id="M49" display="inline"><mml:mrow><mml:mo>≤</mml:mo><mml:mn mathvariant="normal">120</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mtext>m</mml:mtext></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">South Brackish</oasis:entry>
         <oasis:entry colname="col3">South boundary, <inline-formula><mml:math id="M50" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mi mathvariant="normal">A</mml:mi></mml:msub><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">32</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mtext>g kg</mml:mtext><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">South Shelf</oasis:entry>
         <oasis:entry colname="col3">South boundary, <inline-formula><mml:math id="M51" display="inline"><mml:mrow><mml:mn mathvariant="normal">32</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mtext>g kg</mml:mtext><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>&lt;</mml:mo><mml:msub><mml:mi>S</mml:mi><mml:mi mathvariant="normal">A</mml:mi></mml:msub><mml:mo>≤</mml:mo><mml:mn mathvariant="normal">33.5</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mtext>g kg</mml:mtext><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Deep waters</oasis:entry>
         <oasis:entry colname="col2">CUC</oasis:entry>
         <oasis:entry colname="col3">South boundary, <inline-formula><mml:math id="M52" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mi mathvariant="normal">A</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M53" display="inline"><mml:mrow><mml:mo>≥</mml:mo><mml:mn mathvariant="normal">33.5</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mtext>g kg</mml:mtext><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Offshore Deep</oasis:entry>
         <oasis:entry colname="col3">Offshore boundary, depth <inline-formula><mml:math id="M54" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">120</mml:mn></mml:mrow></mml:math></inline-formula> m</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Loop water</oasis:entry>
         <oasis:entry colname="col3">Initialization boundary, transit time <inline-formula><mml:math id="M55" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">24</mml:mn></mml:mrow></mml:math></inline-formula> h</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry namest="col1" nameend="col3"><bold>(b)</bold> Observations – depth <inline-formula><mml:math id="M56" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">500</mml:mn></mml:mrow></mml:math></inline-formula> m </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Shallow waters</oasis:entry>
         <oasis:entry colname="col2">North Shelf</oasis:entry>
         <oasis:entry colname="col3">Shelf and slope water, latitude <inline-formula><mml:math id="M57" display="inline"><mml:mrow><mml:mo>≥</mml:mo><mml:mn mathvariant="normal">49</mml:mn></mml:mrow></mml:math></inline-formula>° N, <inline-formula><mml:math id="M58" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mi mathvariant="normal">A</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M59" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">31.5</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mtext>g kg</mml:mtext><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, depth  <inline-formula><mml:math id="M60" display="inline"><mml:mrow><mml:mo>≤</mml:mo><mml:mn mathvariant="normal">200</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mtext>m</mml:mtext></mml:mrow></mml:math></inline-formula><sup>*</sup></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Offshore Surface</oasis:entry>
         <oasis:entry colname="col3">Offshore water, depth <inline-formula><mml:math id="M62" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">120</mml:mn></mml:mrow></mml:math></inline-formula> m</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">South Brackish</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M63" display="inline"><mml:mrow><mml:mtext>Latitude</mml:mtext><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">47.3</mml:mn></mml:mrow></mml:math></inline-formula>° N, <inline-formula><mml:math id="M64" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mi mathvariant="normal">A</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M65" display="inline"><mml:mrow><mml:mo>≤</mml:mo><mml:mn mathvariant="normal">31.5</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mtext>g kg</mml:mtext><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">South Shelf</oasis:entry>
         <oasis:entry colname="col3">Shelf and slope water, latitude <inline-formula><mml:math id="M66" display="inline"><mml:mrow><mml:mo>≤</mml:mo><mml:mn mathvariant="normal">47.3</mml:mn></mml:mrow></mml:math></inline-formula>° N,  <inline-formula><mml:math id="M67" display="inline"><mml:mrow><mml:mn mathvariant="normal">31.5</mml:mn><mml:mo>&lt;</mml:mo></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M68" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mi mathvariant="normal">A</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M69" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">33.7</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mtext>g kg</mml:mtext><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, depth <inline-formula><mml:math id="M70" display="inline"><mml:mrow><mml:mo>≤</mml:mo><mml:mn mathvariant="normal">200</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Deep waters</oasis:entry>
         <oasis:entry colname="col2">CUC</oasis:entry>
         <oasis:entry colname="col3">Slope water, latitude <inline-formula><mml:math id="M71" display="inline"><mml:mrow><mml:mo>≤</mml:mo><mml:mn mathvariant="normal">50.5</mml:mn></mml:mrow></mml:math></inline-formula>° N, <inline-formula><mml:math id="M72" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mi mathvariant="normal">A</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M73" display="inline"><mml:mrow><mml:mo>≥</mml:mo><mml:mn mathvariant="normal">33.7</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mtext>g kg</mml:mtext><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Offshore Deep</oasis:entry>
         <oasis:entry colname="col3">Offshore water, depth <inline-formula><mml:math id="M74" display="inline"><mml:mrow><mml:mo>≥</mml:mo><mml:mn mathvariant="normal">120</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mtext>m</mml:mtext></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Domain</oasis:entry>
         <oasis:entry colname="col3">Shelf and slope water, <inline-formula><mml:math id="M75" display="inline"><mml:mrow><mml:mn mathvariant="normal">47.3</mml:mn><mml:mo>&lt;</mml:mo></mml:mrow></mml:math></inline-formula> latitude <inline-formula><mml:math id="M76" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">49</mml:mn></mml:mrow></mml:math></inline-formula>° N</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p id="d2e1087"><sup>*</sup> All observations north of <inline-formula><mml:math id="M47" display="inline"><mml:mrow><mml:msup><mml:mn mathvariant="normal">49</mml:mn><mml:mo>∘</mml:mo></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> and shallower than 200 m were less saline than <inline-formula><mml:math id="M48" display="inline"><mml:mrow><mml:mn mathvariant="normal">33.7</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mtext>g kg</mml:mtext><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, as such the CUC and North water observation definitions do not overlap.</p></table-wrap-foot></table-wrap>

</sec>
<sec id="Ch1.S3.SS3">
  <label>3.3</label><title>Attribution of Interannual Variability Drivers</title>
      <p id="d2e1716">The volume flux of a property (<inline-formula><mml:math id="M77" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mi>J</mml:mi></mml:mrow></mml:math></inline-formula>) into JdF is calculated as the sum of contributions from each water source  (<inline-formula><mml:math id="M78" display="inline"><mml:mi>i</mml:mi></mml:math></inline-formula>):

            <disp-formula id="Ch1.E1" content-type="numbered"><label>1</label><mml:math id="M79" display="block"><mml:mrow><mml:mi>P</mml:mi><mml:mi>J</mml:mi><mml:mo>=</mml:mo><mml:mo movablelimits="false">∑</mml:mo><mml:msub><mml:mi>P</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:msub><mml:mi>J</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></disp-formula>

          Here, <inline-formula><mml:math id="M80" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula> represents the mean property value in the JdF inflow, and <inline-formula><mml:math id="M81" display="inline"><mml:mrow><mml:mi>J</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mo>(</mml:mo><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> is the total volume of water over the analysis period (i.e., the volumetric flow rate (<inline-formula><mml:math id="M82" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) multiplied by the period length (s), <inline-formula><mml:math id="M83" display="inline"><mml:mrow><mml:mi>J</mml:mi><mml:mo>=</mml:mo><mml:mi>Q</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:math></inline-formula>). For each water source <inline-formula><mml:math id="M84" display="inline"><mml:mi>i</mml:mi></mml:math></inline-formula>, <inline-formula><mml:math id="M85" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M86" display="inline"><mml:mrow><mml:msub><mml:mi>J</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> denote the mean property value and the volume contribution, respectively. To analyze the drivers of changes in the flux of properties into JdF (<inline-formula><mml:math id="M87" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mo>(</mml:mo><mml:mi>P</mml:mi><mml:mi>J</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>) over time, variations in annual volume and properties are decomposed (Sect. S4) into components driven by changes in dynamics (<inline-formula><mml:math id="M88" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>J</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:msubsup><mml:mi>J</mml:mi><mml:mi>i</mml:mi><mml:mi mathvariant="normal">year</mml:mi></mml:msubsup><mml:mo>-</mml:mo><mml:msubsup><mml:mi>J</mml:mi><mml:mi>i</mml:mi><mml:mi mathvariant="normal">base</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula>), changes in properties (<inline-formula><mml:math id="M89" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>P</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:msubsup><mml:mi>P</mml:mi><mml:mi>i</mml:mi><mml:mi mathvariant="normal">year</mml:mi></mml:msubsup><mml:mo>-</mml:mo><mml:msubsup><mml:mi>P</mml:mi><mml:mi>i</mml:mi><mml:mi mathvariant="normal">base</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula>), and correlated changes (<inline-formula><mml:math id="M90" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>P</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>J</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>):

            <disp-formula id="Ch1.E2" content-type="numbered"><label>2</label><mml:math id="M91" display="block"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mo>(</mml:mo><mml:mi>P</mml:mi><mml:mi>J</mml:mi><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:mo movablelimits="false">∑</mml:mo><mml:mo>(</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>P</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:msubsup><mml:mi>J</mml:mi><mml:mi>i</mml:mi><mml:mi mathvariant="normal">base</mml:mi></mml:msubsup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mo>+</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msubsup><mml:mi>P</mml:mi><mml:mi>i</mml:mi><mml:mi mathvariant="normal">base</mml:mi></mml:msubsup><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>J</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>P</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>J</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></disp-formula>

          Baseline values (<inline-formula><mml:math id="M92" display="inline"><mml:mrow><mml:msubsup><mml:mi>J</mml:mi><mml:mi>i</mml:mi><mml:mi mathvariant="normal">base</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M93" display="inline"><mml:mrow><mml:msubsup><mml:mi>P</mml:mi><mml:mi>i</mml:mi><mml:mi mathvariant="normal">base</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula>) are defined as the mean volume flux and mean property value of each water mass, computed for periods of upwelling, downwelling, or the combined downwelling and subsequent upwelling season over the ten years of analysis. Contributions to variability are normalized by <inline-formula><mml:math id="M94" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mo>(</mml:mo><mml:mi>P</mml:mi><mml:mi>J</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> such that Eq. (<xref ref-type="disp-formula" rid="Ch1.E2"/>) sums to 1, so that the difference in importance of property and volume driven variability between tracers and years can be easily compared.  Annual values (<inline-formula><mml:math id="M95" display="inline"><mml:mrow><mml:msubsup><mml:mi>J</mml:mi><mml:mi>i</mml:mi><mml:mi mathvariant="normal">year</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M96" display="inline"><mml:mrow><mml:msubsup><mml:mi>P</mml:mi><mml:mi>i</mml:mi><mml:mi mathvariant="normal">year</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula>) reported in this paper are computed for a combined downwelling, spring transition, upwelling, and fall transition.</p>
      <p id="d2e2093">In this study, all of the inputs into Eq. (<xref ref-type="disp-formula" rid="Ch1.E2"/>) are derived from the Lagrangian simulations. Values for <inline-formula><mml:math id="M97" display="inline"><mml:mrow><mml:msubsup><mml:mi>J</mml:mi><mml:mi>i</mml:mi><mml:mi mathvariant="normal">year</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> are the sum of water parcel volumes from a water source over a year and values for <inline-formula><mml:math id="M98" display="inline"><mml:mrow><mml:msubsup><mml:mi>P</mml:mi><mml:mi>i</mml:mi><mml:mi mathvariant="normal">year</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> are the volume weighted mean properties from a source over that same period. Where observations are available within each water source with sufficient spatial and temporal coverage to assess variation with confidence, it is possible to combine observed mean <inline-formula><mml:math id="M99" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> with simulated <inline-formula><mml:math id="M100" display="inline"><mml:mrow><mml:msub><mml:mi>J</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>. This application of Eq. (<xref ref-type="disp-formula" rid="Ch1.E2"/>) was not examined in this paper, but is an interesting potential application for future study in areas such as the Newport Hydrographic Line (NHL) where observations are collected biweekly <xref ref-type="bibr" rid="bib1.bibx106" id="paren.82"/>.</p>
      <p id="d2e2152">While interannual variation is the most straightforward application of Eq. (<xref ref-type="disp-formula" rid="Ch1.E2"/>), the analysis is flexible, such that other modes of variation can be calculated. Division of water parcels within each source by density ranges, as opposed to years, is also applied in this paper to assess the contribution of each water source to variability within an isopycnal range over the ten analysis years. Little changes in the equation, <inline-formula><mml:math id="M101" display="inline"><mml:mrow><mml:msub><mml:mi>J</mml:mi><mml:mi mathvariant="normal">base</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M102" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mi mathvariant="normal">base</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> are unchanged; <inline-formula><mml:math id="M103" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>J</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M104" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>P</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> become <inline-formula><mml:math id="M105" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>J</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:msubsup><mml:mi>J</mml:mi><mml:mi>i</mml:mi><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msubsup><mml:mo>-</mml:mo><mml:msubsup><mml:mi>J</mml:mi><mml:mi>i</mml:mi><mml:mi mathvariant="normal">base</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> and  <inline-formula><mml:math id="M106" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>P</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:msubsup><mml:mi>P</mml:mi><mml:mi>i</mml:mi><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msubsup><mml:mo>-</mml:mo><mml:msubsup><mml:mi>P</mml:mi><mml:mi>i</mml:mi><mml:mi mathvariant="normal">base</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula>, where <inline-formula><mml:math id="M107" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> signify a particular isopycnal range.</p>
</sec>
<sec id="Ch1.S3.SS4">
  <label>3.4</label><title>Observed Tracers</title>
      <p id="d2e2316">Observations are used in this study to extend the discussion of the drivers of biogeochemical variability beyond tracers available in LiveOcean. Tracers that exist in both the model (Sect. <xref ref-type="sec" rid="Ch1.S3.SS1"/>) and the collated observations are used as tools to qualitatively connect un-modelled tracers to the variability and attribution results in this study. Observations on and offshore of the British Columbia (BC), Washington, and Oregon coasts were collated from nine sources (Table <xref ref-type="table" rid="TA1"/>). These datasets span a wide range of time (1930 to the end of 2023), spatial coverage, and measurement techniques, including cruise-based bottle and/or conductivity temperature depth (CTD) profiles as well as CTD-mounted moorings.</p>
      <p id="d2e2323">To reduce the computational load for large datasets with unnecessarily high resolutions (e.g., moorings with minute-by-minute measurements), datasets were binned into day-averages at 1 m depth intervals. Outliers were removed by excluding data points that lay more than four standard deviations from the variable's mean at a particular depth. An exception was made for <inline-formula><mml:math id="M108" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mi mathvariant="normal">A</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, where values far below the mean but greater than zero were retained to preserve freshwater measurements. Observations of density, spiciness <xref ref-type="bibr" rid="bib1.bibx92 bib1.bibx102" id="paren.83"/>, and <inline-formula><mml:math id="M109" display="inline"><mml:mrow><mml:msup><mml:mi>N</mml:mi><mml:mo>*</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> (a combination of <inline-formula><mml:math id="M110" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and dissolved inorganic phosphorus (DIP) used to investigate nitrification/denitrification; <xref ref-type="bibr" rid="bib1.bibx58" id="altparen.84"/>) were calculated where the required parameters were available.</p>
      <p id="d2e2365">After combining datasets, duplicates were identified and removed based on latitude (to two decimal places), longitude (to two decimal places), time (to the day), and depth (1 m bins). Duplicate observations were combined by taking the mean of the measurements. To encompass the northern CCS, only observations shallower than 500 m, within 1000 km of the coast <xref ref-type="bibr" rid="bib1.bibx63" id="paren.85"/>, and between 40 and 50.8° N were kept <xref ref-type="bibr" rid="bib1.bibx27" id="paren.86"/>. While deep source waters may influence the Salish Sea via upwelling onto the shelf or through the Juan de Fuca Canyon, upwelled water originates from depths shallower than 500 m with the bulk from depths less than 150 m <xref ref-type="bibr" rid="bib1.bibx8 bib1.bibx13" id="paren.87"/>.</p>
      <p id="d2e2377">Observations were categorized as offshore, slope, or shelf based on the bathymetry of the observation sites (Fig. <xref ref-type="fig" rid="F1"/>).  Offshore observations were defined as those seaward of the 2000 m isobath, shelf as those landward of the 200 m isobath, and slope as those between these two boundaries.  Further division into source waters (north shelf, offshore surface, south brackish, south shelf, CUC, offshore deep, and domain; Table <xref ref-type="table" rid="T1"/>) was based on trajectories identified in this study (Sect. <xref ref-type="sec" rid="Ch1.S4.SS1"/>) and <xref ref-type="bibr" rid="bib1.bibx8" id="text.88"/>, and property-property diagrams of temperature, <inline-formula><mml:math id="M111" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mi mathvariant="normal">A</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>,  <inline-formula><mml:math id="M112" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, and TA. The sensitivity of the source classifications to these criteria is discussed in Sect. S2.</p>
</sec>
<sec id="Ch1.S3.SS5">
  <label>3.5</label><title>Upwelling and Downwelling Timing</title>
      <p id="d2e2420">Upwelling and downwelling were divided in some of the analysis in this study to identify the impact of seasonality, but most analysis was conducted over a full year. Please note that when the text refers to annual values it does not mean one calendar year, instead a year in this paper refers to the combination of one set of consecutive downwelling, spring transition, upwelling, and fall transition periods, all of which differ in length interannually. A combination of upwelling estimates were used to identify the length of these periods: meridional velocity measurements at moorings A1 and CE07 (Fig. <xref ref-type="fig" rid="F1"/>; maintained by the DFO and the Ocean Observatories Initiative (OOI), and available from 2013–2020 and 2015–present, respectively), spring and fall transition timing (upwelling highlighted by yellow bars in Fig. <xref ref-type="fig" rid="F2"/>b; <xref ref-type="bibr" rid="bib1.bibx65" id="altparen.89"/>, available from 1980–present), and the Bakun Index at 48° N (upwelling highlighted by grey bars in Fig. <xref ref-type="fig" rid="F2"/>b; <xref ref-type="bibr" rid="bib1.bibx15 bib1.bibx5" id="altparen.90"/>, available from 1967–present). Upwelling and downwelling timing (red and blue in Fig. <xref ref-type="fig" rid="F2"/>a, respectively) was determined by the overlap of these measures, with non-overlapping periods designated as transition intervals (white in Fig. <xref ref-type="fig" rid="F2"/>a). If this method produced buffer periods shorter than 20 d <xref ref-type="bibr" rid="bib1.bibx83" id="paren.91"/>, or if only one upwelling estimate was available (observations predating estimates in <xref ref-type="bibr" rid="bib1.bibx65" id="altparen.92"/>), the bounding upwelling and downwelling periods were shortened to ensure a minimum transition length of 20 d. For periods predating the Bakun Index (before 1967), upwelling and downwelling periods were conservatively set to May–August (inclusive) and November–February (inclusive), respectively.</p>

      <fig id="F2" specific-use="star"><label>Figure 2</label><caption><p id="d2e2448">Date selection for upwelling (red) and downwelling (blue) periods between 2013 and 2024. Modelled and observed alongshore velocity <bold>(a)</bold> at station A1 before April  2015 (vertical black dashed line) and CE07 after, smoothed using a 15 d running mean as in <xref ref-type="bibr" rid="bib1.bibx50" id="text.93"/>. White areas between upwelling and downwelling indicate periods of transition between the two regimes. The Bakun index <bold>(b)</bold> estimates the strength and direction of vertical Ekman transport near the coast, with a positive Bakun index meaning upward transport (ie. upwelling). Periods of upwelling as defined by the Bakun index (grey) correlate well with those outlined in <xref ref-type="bibr" rid="bib1.bibx65" id="text.94"/> (yellow).</p></caption>
          <graphic xlink:href="https://bg.copernicus.org/articles/22/7309/2025/bg-22-7309-2025-f02.png"/>

        </fig>

      <p id="d2e2469">The Bakun Index is based on local wind stress <xref ref-type="bibr" rid="bib1.bibx5" id="paren.95"/>; however, upwelling timing in the Northern California Current System may be influenced by remote winds as far south as 36° N <xref ref-type="bibr" rid="bib1.bibx43" id="paren.96"/>, where upwelling favourable winds occur year round <xref ref-type="bibr" rid="bib1.bibx5" id="paren.97"/>. To test the sensitivity of results to the Bakun Index latitude, date selection was repeated using the Bakun index at 45° N. In general the dates were in close agreement,  with upwelling and downwelling dates differing by a week or less in most cases. However, in 2013, upwelling timing differed significantly, starting 18 d later and ending 33 d earlier when using the Bakun Index at 45° N instead of 48° N. This discrepancy was unexpected, as upwelling further south typically begins earlier and lasts longer than at higher latitude. Due to this inconsistency and the otherwise similar results between the two Bakun index latitudes, the Bakun index at 48° N (along with the <xref ref-type="bibr" rid="bib1.bibx65" id="altparen.98"/> dates and the modelled and observed alongshore velocity at A1 and CE07) were deemed a reasonable choice for defining seasonal upwelling and downwelling periods in this region.</p>
</sec>
</sec>
<sec id="Ch1.S4">
  <label>4</label><title>Results</title>
<sec id="Ch1.S4.SS1">
  <label>4.1</label><title>Salish Sea Inflow</title>
      <p id="d2e2500">In general, loop water (return flow from JdF) accounts for the most JdF inflow in a given year at 30.7 % of inflow or averaging <inline-formula><mml:math id="M113" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mn mathvariant="normal">4.3</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.4</mml:mn><mml:mo>)</mml:mo><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">8</mml:mn></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> (Fig. <xref ref-type="fig" rid="F3"/>b); the volume flux of loop water remains relatively consistent throughout the year, though it accounts for a larger portion of inflow during downwelling. Loop water is made up of a varying mixture of the Pacific sources and of river discharge originating in the Salish Sea. As such, while its contribution to inflow volume and interannual property and dynamical variability is important (Sect. S3), it should not be treated as an unique or separable source from the other analyzed source waters. Instead, the dynamics and properties of loop water should be thought of as another product of JdF inflow variability partially driven by the Pacific sources. The remainder of this paper will focus on the Pacific sources of flow into JdF (i.e. parcels originating from one of the outer, pink, boundaries in Fig. <xref ref-type="fig" rid="F1"/>).</p>

      <fig id="F3"><label>Figure 3</label><caption><p id="d2e2538">Daily average modelled transport (1 mSv <inline-formula><mml:math id="M114" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> m<sup>3</sup> s<inline-formula><mml:math id="M116" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">8.64</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> m<sup>3</sup> d<sup>−1</sup>) into JdF <bold>(a)</bold> and from each source water <bold>(b–h)</bold> averaged for the same year-day (solid line) with the inter-quartile ranges about the mean shown in a lighter shade. Note that the vertical range of <bold>(a)</bold> is about three times as large as those from the individual water masses <bold>(b–h)</bold>. Months May–September are typically periods of upwelling, while months November–March are typically periods of downwelling.</p></caption>
          <graphic xlink:href="https://bg.copernicus.org/articles/22/7309/2025/bg-22-7309-2025-f03.png"/>

        </fig>

      <p id="d2e2627">The water reaching JdF from the Pacific largely originates between potential density surfaces (<inline-formula><mml:math id="M119" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) of 25.4–26.5 <inline-formula><mml:math id="M120" display="inline"><mml:mrow><mml:mi mathvariant="normal">kg</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (based on the first and third transport-weighted quartiles of JdF inflow), aligning with the density of the inflow layer at the initialization section (Fig. <xref ref-type="fig" rid="F4"/>a). The CUC is the largest Pacific source, with <inline-formula><mml:math id="M121" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mn mathvariant="normal">2.8</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.4</mml:mn><mml:mo>)</mml:mo><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">8</mml:mn></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> of inflow annually (Fig. <xref ref-type="fig" rid="F5"/>a) and a mean <inline-formula><mml:math id="M122" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> of 26.5 <inline-formula><mml:math id="M123" display="inline"><mml:mrow><mml:mi mathvariant="normal">kg</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (Fig. <xref ref-type="fig" rid="F4"/>b), contributing significantly to JdF inflow throughout the year (Fig. <xref ref-type="fig" rid="F3"/>e). Offshore deep water is predominantly an upwelling source (Fig. <xref ref-type="fig" rid="F3"/>f), with <inline-formula><mml:math id="M124" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mn mathvariant="normal">2.1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.4</mml:mn><mml:mo>)</mml:mo><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">8</mml:mn></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> annually and a mean <inline-formula><mml:math id="M125" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> of 26.4 <inline-formula><mml:math id="M126" display="inline"><mml:mrow><mml:mi mathvariant="normal">kg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. Offshore surface water enters JdF in small amounts year round (Fig. <xref ref-type="fig" rid="F3"/>g), totalling <inline-formula><mml:math id="M127" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mn mathvariant="normal">0.6</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.2</mml:mn><mml:mo>)</mml:mo><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">8</mml:mn></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> annually with a mean <inline-formula><mml:math id="M128" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> of 25.3 <inline-formula><mml:math id="M129" display="inline"><mml:mrow><mml:mi mathvariant="normal">kg</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. North water reaches JdF almost exclusively during upwelling  (Fig. <xref ref-type="fig" rid="F3"/>h), with <inline-formula><mml:math id="M130" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mn mathvariant="normal">1.5</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.2</mml:mn><mml:mo>)</mml:mo><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">8</mml:mn></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> annually on a mean <inline-formula><mml:math id="M131" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> of 25.8 <inline-formula><mml:math id="M132" display="inline"><mml:mrow><mml:mi mathvariant="normal">kg</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, while south brackish water reaches JdF almost exclusively during downwelling  (Fig. <xref ref-type="fig" rid="F3"/>d), with  <inline-formula><mml:math id="M133" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mn mathvariant="normal">0.9</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.2</mml:mn><mml:mo>)</mml:mo><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">8</mml:mn></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> annually along a much shallower mean <inline-formula><mml:math id="M134" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> of 23.0 <inline-formula><mml:math id="M135" display="inline"><mml:mrow><mml:mi mathvariant="normal">kg</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. South shelf water is predominantly a downwelling source, with  <inline-formula><mml:math id="M136" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mn mathvariant="normal">1.8</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.4</mml:mn><mml:mo>)</mml:mo><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">8</mml:mn></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> and a mean <inline-formula><mml:math id="M137" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> of 25.2 <inline-formula><mml:math id="M138" display="inline"><mml:mrow><mml:mi mathvariant="normal">kg</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>; of the six source waters it had the highest standard deviation in annual inflow (Fig. <xref ref-type="fig" rid="F3"/>c). The timing and dominance of source waters align well with those in <xref ref-type="bibr" rid="bib1.bibx8" id="text.99"/>. Significant mixing occurs between the analysis boundaries and the initialization section, such that once reaching JdF the water sources fall within similar isopycnal ranges with the exception of south brackish water (Fig. <xref ref-type="fig" rid="F4"/>c).</p>

      <fig id="F4" specific-use="star"><label>Figure 4</label><caption><p id="d2e3032">Water source contributions to JdF inflow in isopycnal space. Mean monthly density anomaly <bold>(a)</bold> at the centre of the initialization transect (Fig. <xref ref-type="fig" rid="F1"/>) according to SalishSeaCast output from 2007–2023 <xref ref-type="bibr" rid="bib1.bibx2" id="paren.100"/>. Histograms of transport weighted density anomaly of water parcels at their location of origin <bold>(b)</bold> and at the initialization transect <bold>(c)</bold>. Histograms of transport weighted parcel depth at the beginning and end of transit are available in Fig. S9.</p></caption>
          <graphic xlink:href="https://bg.copernicus.org/articles/22/7309/2025/bg-22-7309-2025-f04.png"/>

        </fig>

      <p id="d2e3055">As is the case with any continuous process, it should be noted that the dynamics of a given year will be impacted by the one preceding it. Typical parcel advection time differs between source waters (Fig. S8), ranging between 8 d for south brackish water and 60 d for offshore deep water. As such, some slower advecting source waters may be brought into the vicinity of JdF during a preceding period. For example, it is possible that parcels originating from the CUC at the beginning of downwelling or the fall transition were actually brought onto the shelf during upwelling (note the slightly higher contribution of CUC water in November and December than in January and February, Fig. <xref ref-type="fig" rid="F3"/>e).</p>
      <p id="d2e3060">The length (Figs. <xref ref-type="fig" rid="F2"/>b and <xref ref-type="fig" rid="F5"/>b) and strength of upwelling and downwelling periods results in significant year-to-year differences in the water entering the Salish Sea (Figs. <xref ref-type="fig" rid="F5"/>, S10). The inflows of south shelf and brackish water have a significant (significance level (<inline-formula><mml:math id="M139" display="inline"><mml:mrow><mml:mi mathvariant="italic">α</mml:mi><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula>) correlation with the difference in length of consecutive upwelling and downwelling periods (Fig. <xref ref-type="fig" rid="F5"/>b), the correlation coefficient <inline-formula><mml:math id="M140" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mi>r</mml:mi><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.81</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mo>(</mml:mo><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.005</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M141" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.75</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mo>(</mml:mo><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, respectively, while north shelf water is significantly correlated with the strength of upwelling, <inline-formula><mml:math id="M142" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.72</mml:mn></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M143" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.02</mml:mn></mml:mrow></mml:math></inline-formula>). For instance, in 2017, the downwelling season lasted longer than upwelling and the inflow of south shelf and brackish water was higher than typical. In 2020, despite upwelling lasting for a significant amount of time north water inflow volumes were low, owing potentially to the relative weakness of this upwelling period (Fig. <xref ref-type="fig" rid="F2"/>b). The interannual variability in season length and source water contribution also manifests in the JdF inflow properties (Fig. <xref ref-type="fig" rid="F5"/>c–g). The mean <inline-formula><mml:math id="M144" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mi mathvariant="normal">A</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, DO, and <inline-formula><mml:math id="M145" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> of JdF inflow are significantly correlated to the difference in upwelling and downwelling length, with <inline-formula><mml:math id="M146" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.68</mml:mn></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M147" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.03</mml:mn></mml:mrow></mml:math></inline-formula>), <inline-formula><mml:math id="M148" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.72</mml:mn></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M149" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.02</mml:mn></mml:mrow></mml:math></inline-formula>), and 0.66 (<inline-formula><mml:math id="M150" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.04</mml:mn></mml:mrow></mml:math></inline-formula>), respectively. It should be noted that density varies strongly with salinity in the region (<inline-formula><mml:math id="M151" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.9</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M152" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.001</mml:mn></mml:mrow></mml:math></inline-formula>); only interannual salinity variability is shown but a density comparison is available in Fig. S10.</p>

      <fig id="F5"><label>Figure 5</label><caption><p id="d2e3273"><bold>(a)</bold> Volume from the CUC (purple), offshore deep (navy), offshore surface (light blue), south (pink), north (green), and brackish (yellow) water into the Salish Sea over one year (combined periods of downwelling, spring transition, upwelling, and fall transition). The percentage contribution to JdF inflow from each water source over a year is overlaid on each bar. A version of <bold>(a)</bold> including the contribution of loop water is included in Sect. S3. <bold>(b)</bold> Difference in the length of upwelling and downwelling in each year. Variability in the modelled transport weighted mean temperature <bold>(c)</bold>, <inline-formula><mml:math id="M153" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mi mathvariant="normal">A</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> <bold>(d)</bold>, DO <bold>(e)</bold>, <inline-formula><mml:math id="M154" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <bold>(f)</bold>, and [TA-DIC] <bold>(g)</bold> of water parcels at the mouth of JdF may relate to the flux from each source water. Transport weighted mean density correlates very strongly with salinity (Fig. S10).</p></caption>
          <graphic xlink:href="https://bg.copernicus.org/articles/22/7309/2025/bg-22-7309-2025-f05.png"/>

        </fig>

</sec>
<sec id="Ch1.S4.SS2">
  <label>4.2</label><title>Source Water Properties</title>
<sec id="Ch1.S4.SS2.SSS1">
  <label>4.2.1</label><title>Observed Properties</title>
      <p id="d2e3343">The separation of observations into source waters (Table <xref ref-type="table" rid="T1"/>) highlights distinct differences between deep (offshore deep and CUC water) and shallow source waters (north and south shelf water, and offshore surface water; Fig. <xref ref-type="fig" rid="F6"/>). Deep source waters are colder, saltier, and denser than shallow waters. They are also richer in nutrients, DIC, and TA, while being lower in DO and <inline-formula><mml:math id="M155" display="inline"><mml:mrow><mml:msubsup><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> concentrations. Denitrification (negative <inline-formula><mml:math id="M156" display="inline"><mml:mrow><mml:msup><mml:mi>N</mml:mi><mml:mo>*</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>) is more prevalent than nitrification across all source waters, thus the mean <inline-formula><mml:math id="M157" display="inline"><mml:mrow><mml:msup><mml:mi>N</mml:mi><mml:mo>*</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> are all negative, ranging from <inline-formula><mml:math id="M158" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.8</mml:mn></mml:mrow></mml:math></inline-formula> in offshore deep to <inline-formula><mml:math id="M159" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3.8</mml:mn></mml:mrow></mml:math></inline-formula> in the south shelf water (Table <xref ref-type="table" rid="TA3"/>). In Fig. <xref ref-type="fig" rid="F6"/>, a high <inline-formula><mml:math id="M160" display="inline"><mml:mrow><mml:msup><mml:mi>N</mml:mi><mml:mo>*</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> refers to a less negative <inline-formula><mml:math id="M161" display="inline"><mml:mrow><mml:msup><mml:mi>N</mml:mi><mml:mo>*</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>, and it is associated with the deep source waters, consistent with their higher concentrations of <inline-formula><mml:math id="M162" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and DIP and lower concentrations of the denitrification precursor (<inline-formula><mml:math id="M163" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>).</p>
      <p id="d2e3458">The two deep source waters (CUC and offshore deep) are surprisingly similar, differences in their properties are often not statistically significant (based on a 95 % confidence interval <inline-formula><mml:math id="M164" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>-test, Table <xref ref-type="table" rid="TA3"/>) or, where they are statistically significant due to abundant observations, are not practically different (as indicated by a Cohen's <inline-formula><mml:math id="M165" display="inline"><mml:mrow><mml:mi>d</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn></mml:mrow></mml:math></inline-formula> <xref ref-type="bibr" rid="bib1.bibx29" id="paren.101"/>, suggesting small effect size). Notable exceptions are that the CUC is warmer, spicier, and richer in <inline-formula><mml:math id="M166" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> than offshore deep water. These similarities persist in time and north-south location (based on 1° latitude binning), but some differences in the properties of the two water sources with depth are present. Between 100 and 300 m the CUC and offshore deep water diverge more in many biologically influenced properties (DO, NO<sub>3</sub>, NO<sub>2</sub>, DIP, dissolved silicon (DSi), TA). This result may suggest that the CUC and offshore deep sources are made up of similar water mass mixtures, but that more respiration occurs in one source, the CUC in this case. Shallow source waters differ more-so: offshore surface water is more oxygen rich and has significantly higher aragonite and calcite saturation than shelf source waters. Among shelf waters, north shelf water is less spicy, while south shelf water exhibits a higher TA.</p>
      <p id="d2e3515">Seasonal differences are more pronounced in shallow source waters, while deep source waters remain relatively consistent across upwelling and downwelling periods (Fig. <xref ref-type="fig" rid="F6"/>).  These seasonal variations also reveal greater distinctions between shallow source waters. For example, <inline-formula><mml:math id="M169" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and DIP concentrations are higher in south shelf water in the summer due to upwelling but higher in offshore surface water during downwelling due to winter mixing, with little variation in north shelf water (Fig. <xref ref-type="fig" rid="F6"/>).</p>
      <p id="d2e3534">Trace metal observations are scarce with the exception of the offshore source waters (Table <xref ref-type="table" rid="TA2"/>). Available data suggest that the CUC has higher concentrations of Co, Fe, and Mn than offshore deep water, even though these source waters are otherwise similar (Fig. <xref ref-type="fig" rid="F6"/>). Offshore surface water generally has lower trace metal concentrations compared to offshore deep water, except for Mn. The limited trace metal observations of north and south shelf water in particular (three and two measurements, respectively, Table <xref ref-type="table" rid="TA2"/>) make it such that few significant differences exist between these sources and the others (Table <xref ref-type="table" rid="TA3"/>). The Cd, Mn, and Fe concentrations in north shelf water stand out as high compared to the other surface water masses, and in the case of Cd and Fe, align more closely with the deep water masses.</p>

      <fig id="F6" specific-use="star"><label>Figure 6</label><caption><p id="d2e3548">Relative property definitions of each source water (Table <xref ref-type="table" rid="T1"/>) based on observations (Fig. <xref ref-type="fig" rid="F1"/>-inset). High and low limits are relative to the other source waters, based on the maximum and minimum whisker values among the five source waters in each property. The light grey line within each box indicates the median value, the upward pointing orange triangle represents the mean over upwelling periods, and the downward pointing blue triangle the mean over downwelling periods (where downwelling observations were available, Table <xref ref-type="table" rid="TA2"/>). The observed tracer mean and standard deviation in each source water, and the significance of differences between source waters, is summarized in Table <xref ref-type="table" rid="TA3"/>.</p></caption>
            <graphic xlink:href="https://bg.copernicus.org/articles/22/7309/2025/bg-22-7309-2025-f06.png"/>

          </fig>

</sec>
<sec id="Ch1.S4.SS2.SSS2">
  <label>4.2.2</label><title>Modelled Properties</title>
      <p id="d2e3573">Given the inconsistent sampling frequency and locations, interannual variability in source water biogeochemistry is difficult to assess from observations alone. To supplement this analysis, modelled variability in annual transport weighted mean source water properties (Fig. <xref ref-type="fig" rid="F7"/>) was evaluated. Comparisons between model and observational data (Sect. S1) confirm that the model accurately represents the range and variability of properties. Across the domain, modelled <inline-formula><mml:math id="M170" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mi mathvariant="normal">A</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, temperature, DO, <inline-formula><mml:math id="M171" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, TA, and DIC show high skill (Willmott Skill Scores (WSSs)  <inline-formula><mml:math id="M172" display="inline"><mml:mrow><mml:mo>≧</mml:mo><mml:mn mathvariant="normal">0.90</mml:mn></mml:mrow></mml:math></inline-formula>, <xref ref-type="bibr" rid="bib1.bibx127" id="altparen.102"/>). Subregion (as defined in Table <xref ref-type="table" rid="T1"/>, observations) evaluations yield slightly lower skill for some tracers, notably TA in offshore surface water (WSS <inline-formula><mml:math id="M173" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.76</mml:mn></mml:mrow></mml:math></inline-formula>), but all other tracers in all subregions achieve WSSs <inline-formula><mml:math id="M174" display="inline"><mml:mrow><mml:mo>≧</mml:mo><mml:mn mathvariant="normal">0.81</mml:mn></mml:mrow></mml:math></inline-formula>.</p>

      <fig id="F7" specific-use="star"><label>Figure 7</label><caption><p id="d2e3638">Modelled properties and their interannual <bold>(a–j)</bold> and seasonal <bold>(k–o)</bold> variability. Transport weighted annual mean <bold>(a–e)</bold> <inline-formula><mml:math id="M175" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mi mathvariant="normal">A</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, temperature, DO, <inline-formula><mml:math id="M176" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, and [TA-DIC] at the outer boundaries for the CUC (purple), offshore deep (blue), offshore surface (light blue), north (green), and south (pink) source waters. Box and whisker plots <bold>(f–j)</bold> of the combined annual data show the range in properties exhibited by each source water. Box and whisker plots of upwelling (orange) and downwelling (blue) properties <bold>(k–o)</bold> show the seasonal difference in source water properties in each source water.</p></caption>
            <graphic xlink:href="https://bg.copernicus.org/articles/22/7309/2025/bg-22-7309-2025-f07.png"/>

          </fig>

      <p id="d2e3685">In general, shallow source waters (south shelf, loop, offshore surface, and north water) exhibit more interannual variability over the analysis period than deep source waters (CUC and offshore deep water, Fig. <xref ref-type="fig" rid="F7"/>). Temperature change in particular seems to manifest in the shallow source waters, with the elevated water temperatures in the northeast Pacific during the 2014–2016 marine heatwave (the “Blob”, <xref ref-type="bibr" rid="bib1.bibx17" id="altparen.103"/>) clearly present in the south shelf, offshore surface, and loop water (Fig. <xref ref-type="fig" rid="F7"/>b). South shelf water has among the most interannual variability in each water property, with north shelf water only exceeding it in <inline-formula><mml:math id="M177" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> content. Shallow source waters generally have stronger seasonal cycles than the deep source waters. All three shallow sources exhibit the same property changes during upwelling: increased salinity, cooler temperatures, lower DO, and higher concentrations of <inline-formula><mml:math id="M178" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, TA, and DIC compared to downwelling periods. This seasonal trend is in opposition to that found for offshore surface water in the observational data, but is aligned for the two shelf water masses (Fig. <xref ref-type="fig" rid="F6"/>).</p>
      <p id="d2e3721">Brackish south water, excluded from Fig. <xref ref-type="fig" rid="F7"/> due to its distinct property range, is significantly lower in salinity, <inline-formula><mml:math id="M179" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, DIC, and TA, and higher in DO than the other source waters. It also appears to be even more impacted by the Blob than the other shallow source, but otherwise overlaps in temperature with the shallow source waters. Focusing only on downwelling periods due to the lack of brackish south water during most upwelling periods, this source water has little interannual variability except in temperature.</p>
</sec>
</sec>
<sec id="Ch1.S4.SS3">
  <label>4.3</label><title>Drivers of Variability</title>
      <p id="d2e3746">Using Eq. (<xref ref-type="disp-formula" rid="Ch1.E2"/>), we separated the effects of annual variability in the volume of water contributed by each Pacific source water (Fig. <xref ref-type="fig" rid="F5"/>a, b) from variability in the properties of those source waters (Figs. <xref ref-type="fig" rid="F6"/>, <xref ref-type="fig" rid="F7"/>). The cross term (third term in Eq. <xref ref-type="disp-formula" rid="Ch1.E2"/>) is small relative to the impacts of dynamical and property variability, and so is neglected in this analysis. Overall, dynamical variability accounts for the majority of variability in each tracer (Fig. <xref ref-type="fig" rid="F8"/>). However, property variability plays a substantial role in explaining changes in temperature, DO, and <inline-formula><mml:math id="M180" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M181" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mn mathvariant="normal">1</mml:mn><mml:mn mathvariant="normal">6</mml:mn></mml:mfrac></mml:mstyle></mml:mrow></mml:math></inline-formula>), and a major role in the variability of [TA-DIC] (<inline-formula><mml:math id="M182" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mn mathvariant="normal">1</mml:mn><mml:mn mathvariant="normal">4</mml:mn></mml:mfrac></mml:mstyle></mml:mrow></mml:math></inline-formula>). Notably, in two of the analyzed years (2016 and 2018), property variability plays a larger role than dynamical variability in the change in [TA-DIC] flux. High property driven variability in a given year does not directly align with interannual extremes in said properties. For example, in 2017 the [TA-DIC] concentration in south shelf water is more extreme than it was in 2016; however, property variability from south shelf water is a smaller driver in 2017 because higher than typical transport from shallow water sources overshadow the property impact.</p>

      <fig id="F8" specific-use="star"><label>Figure 8</label><caption><p id="d2e3803">Normalized attribution of changes in Salish Sea inflow flux of <inline-formula><mml:math id="M183" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mi mathvariant="normal">A</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> <bold>(a)</bold>, temperature <bold>(b)</bold>, DO <bold>(c)</bold>, <inline-formula><mml:math id="M184" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <bold>(d)</bold>, and [TA-DIC] <bold>(e)</bold> to interannual differences in source water inflow volumes (right side of the graph) or to interannual differences in source water properties (left side). The legend in each figure displays the average percentage contribution of each source water to interannual variability in the tracer over the ten years of analysis, the source waters are reordered in each legend according to their contribution (top to bottom). The Supplement includes versions of this figure for contributions to density variability (Fig. S11), and including the contribution of loop water (Fig. S7).</p></caption>
          <graphic xlink:href="https://bg.copernicus.org/articles/22/7309/2025/bg-22-7309-2025-f08.png"/>

        </fig>

      <p id="d2e3850">The source waters that explain the most interannual variability differ from tracer to tracer, and, accordingly, don't correspond with which source waters contribute most to JdF inflow. Offshore deep water and the CUC are the two largest Pacific contributors to Salish inflow (Fig. <xref ref-type="fig" rid="F5"/>a), but with the exception of <inline-formula><mml:math id="M185" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> variability, the contribution of CUC and offshore deep water to interannual variability is smaller than their volume contribution. The deep source waters contribute similar amounts overall to variability, predominantly in the form of dynamical variability (Fig. <xref ref-type="fig" rid="F8"/>). Despite south shelf water contributing a smaller portion of JdF inflow annually (Fig. <xref ref-type="fig" rid="F5"/>a) compared to CUC and offshore deep water, it is the largest driver of interannual variability in all but <inline-formula><mml:math id="M186" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, where deep waters are more important (Fig. <xref ref-type="fig" rid="F8"/>d). South shelf water contributes to interannual variability in the form of both dynamical and property variability in large amounts, but dynamical variability plays a larger role. The other shallow source waters (north shelf, brackish south, and offshore surface water) are large drivers of interannual variability in DO and [TA-DIC], with their contributions to variability far exceeding their contributions to inflow volume in those tracers. It should be noted, however, that these contributions to variability are themselves variable: the standard deviation in each source water's contribution exceeds one third of its mean (<inline-formula><mml:math id="M187" display="inline"><mml:mrow><mml:mi mathvariant="italic">σ</mml:mi><mml:mo>&gt;</mml:mo><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mn mathvariant="normal">1</mml:mn><mml:mn mathvariant="normal">3</mml:mn></mml:mfrac></mml:mstyle><mml:mover accent="true"><mml:mi>x</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:mrow></mml:math></inline-formula>), with CUC and south brackish water showing the largest year-to-year fluctuations.</p>
      <p id="d2e3906">On seasonal scales, the relative importance of water sources to variability shift closer to their volume contributions (Fig. <xref ref-type="fig" rid="F3"/>; <xref ref-type="bibr" rid="bib1.bibx8" id="altparen.104"/>). South shelf and south brackish water are very important to variability during downwelling, and are much smaller sources of variability during upwelling, when the contribution of offshore deep and north shelf water increase substantially (Fig. S12). The CUC is an important contributor to variability year-round.</p>
      <p id="d2e3914">Reorganizing water source transport into density bins as opposed to an annual grouping reveals which source waters contribute to tracer variability in different isopycnal ranges (Fig. <xref ref-type="fig" rid="F9"/>). As may be expected, deep water masses primarily contribute to variability in higher isopycnal ranges and shallow water masses contribute more at lower isopycnal ranges. However, this division is an oversimplification. Offshore deep water for example, significantly contributes to variability in a larger isopycnal range than the CUC, and north shelf water contributes significantly to variability over the entire isopycnal range of water reaching JdF, in line with its large range in density (Fig. <xref ref-type="fig" rid="F4"/>b). Like in the analysis of interannual variability, the difference in water source and driver importance between tracers is striking. The CUC is a large contributor to variability at <inline-formula><mml:math id="M188" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>≥</mml:mo><mml:mn mathvariant="normal">25.6</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">kg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> in salinity, temperature, and <inline-formula><mml:math id="M189" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, but decreases in importance for DO, and is almost negligible at any range for [TA-DIC]. The overall dominance of drivers is the same as in the interannual analysis (Fig. <xref ref-type="fig" rid="F8"/>), but the density grouping reveals that property driven variability is stronger in all tracers at high (<inline-formula><mml:math id="M190" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>≥</mml:mo><mml:mn mathvariant="normal">26.8</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">kg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) and low (<inline-formula><mml:math id="M191" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>≤</mml:mo><mml:mn mathvariant="normal">25.2</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">kg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) isopycnal ranges, while dynamical variability is stronger for intermediate waters.</p>

      <fig id="F9" specific-use="star"><label>Figure 9</label><caption><p id="d2e4018">Normalized attribution of changes in Salish Sea inflow flux of <inline-formula><mml:math id="M192" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mi mathvariant="normal">A</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> <bold>(a)</bold>, temperature <bold>(b)</bold>, DO <bold>(c)</bold>, <inline-formula><mml:math id="M193" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <bold>(d)</bold>, and [TA-DIC] <bold>(e)</bold> to differences in source water inflow volumes (right side of the graph) or properties (left side) along source isopycnals. Note that the total transport in each isopycnal range is not equal (Fig. <xref ref-type="fig" rid="F4"/>b).</p></caption>
          <graphic xlink:href="https://bg.copernicus.org/articles/22/7309/2025/bg-22-7309-2025-f09.png"/>

        </fig>

      <p id="d2e4067">The significant mixing of source waters at the entrance to JdF is such that the isopycnal (and depth, Fig. S9) range of each source largely converge (Fig. <xref ref-type="fig" rid="F4"/>c), with the important exception of south brackish water which remains in the surface layer and relatively unmixed. According to <xref ref-type="bibr" rid="bib1.bibx8" id="text.105"/> a greater proportion of parcels from intermediate-depth JdF inflow reach the Haro Region and Puget Sound (Fig. <xref ref-type="fig" rid="F1"/>) compared to deep, with surface sources contributing the least to both basins. The mixing of source waters before reaching JdF means that both intermediate and deep inflow are a mixture of all the source waters, save south brackish water. It may be expected then that the contribution of south brackish water to inner basin biogeochemical variability would be negligible, and that south shelf water – its slightly lower isopycnal range than the other source waters at JdF (Fig. <xref ref-type="fig" rid="F4"/>c) making it more purely an intermediate source – may be an even more important driver. However, <xref ref-type="bibr" rid="bib1.bibx8" id="text.106"/> also revealed a seasonal difference in the connection of JdF inflow to the inner basins, with parcels being much more likely to reach the inner basins during periods of upwelling. Thus, it follows that source waters more important to variability during upwelling: offshore deep, north shelf, and CUC water (Fig. S12), may be disproportionately influential on the biogeochemistry of the interior of the Salish Sea.</p>
</sec>
</sec>
<sec id="Ch1.S5">
  <label>5</label><title>Discussion</title>
      <p id="d2e4092">Modelled and observed properties of source waters entering the Salish Sea through JdF highlight key drivers of variability in inflow properties. Variability in the volume contributions of different source waters generally plays a larger role than variability in their properties; however, property variability remains significant for temperature, DO, <inline-formula><mml:math id="M194" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, and the OA proxy [TA-DIC]. South shelf and deep source waters are the largest drivers overall to interannual variability in the flux of tracers through JdF inflow, with shallow source waters tending to be more important for DO and [TA-DIC] variability and deep source waters tending to be more important for <inline-formula><mml:math id="M195" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> variability. Matching observations to source waters can help reveal drivers of variability in biogeochemical tracers not explicitly represented in the model. </p>
<sec id="Ch1.S5.SS1">
  <label>5.1</label><title>Drivers of Biogeochemical Variability</title>
<sec id="Ch1.S5.SS1.SSS1">
  <label>5.1.1</label><title>Physical Properties</title>
      <p id="d2e4132">Although both are physical properties and conservative tracers, salinity and temperature differ markedly in their interannual trends (Fig.<xref ref-type="fig" rid="F7"/>a, d) and underlying drivers (Figs. <xref ref-type="fig" rid="F8"/>a, b, <xref ref-type="fig" rid="F9"/>a, b). Salinity variability is almost entirely explained by dynamics, whereas temperature variability arises from both dynamic and property variations. Shallow source waters exhibit substantial interannual and seasonal temperature variability (Figs. <xref ref-type="fig" rid="F7"/>b, g, l), whereas salinity remains relatively constant within each source water. Salinity drives density variability in this region (Fig. S10; <xref ref-type="bibr" rid="bib1.bibx21" id="altparen.107"/>) such that little property driven change is possible when grouped by isopycnal ranges (Fig. <xref ref-type="fig" rid="F9"/>a). Furthermore, since the source waters were defined primarily by density-related criteria (salinity, depth), it is unsurprising they show minimal interannual salinity change (Fig. <xref ref-type="fig" rid="F8"/>a).</p>
      <p id="d2e4151">Temperature however, can vary within a source water without substantially altering its density in this region, thus allowing notable temperature shifts independent of source water classification. During warmer inflow in Blob years (2015, 2016, and 2017; Fig. <xref ref-type="fig" rid="F7"/>b) temperature variability was predominantly driven by shallow source waters – particularly south shelf and brackish waters (Fig. <xref ref-type="fig" rid="F8"/>b) which contribute to variability in lower isopycnal ranges (Fig. <xref ref-type="fig" rid="F9"/>b). Cooler-than-average inflow years (2014 and 2021; Fig. <xref ref-type="fig" rid="F7"/>b) similarly underscore the influence of these shallow southern source waters on inflow temperature.</p>
      <p id="d2e4162">South shelf water, the primary contributor to temperature variability in JdF inflow, originates from the southern end of the CCS <xref ref-type="bibr" rid="bib1.bibx27" id="paren.108"/> where sea surface temperature (SST) has increased by <inline-formula><mml:math id="M196" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">2.5</mml:mn></mml:mrow></mml:math></inline-formula> °C in the past 70 years with strong decadal and multi-decal variability therein <xref ref-type="bibr" rid="bib1.bibx81" id="paren.109"/>.  Offshore deep water, the second-largest contributor to temperature variability, is defined in this study (Table <xref ref-type="table" rid="T1"/>) within the deeper portions of the CC <xref ref-type="bibr" rid="bib1.bibx4" id="paren.110"/>, which has also experienced significant anthropogenic warming <xref ref-type="bibr" rid="bib1.bibx48" id="paren.111"/>. The CUC, another large contributor to temperature variability, is getting spicier <xref ref-type="bibr" rid="bib1.bibx87 bib1.bibx94" id="paren.112"/>. Although the CUC currently influences JdF inflow primarily via dynamical variability, continued northward shifts in its properties <xref ref-type="bibr" rid="bib1.bibx94" id="paren.113"/> may increase the importance of its property-driven impacts over longer timescales.</p>
      <p id="d2e4196">The isopycnals upwelled into JdF from the CUC and offshore deep water (Figs. <xref ref-type="fig" rid="F4"/>, <xref ref-type="fig" rid="F9"/>) closely align with those found in <xref ref-type="bibr" rid="bib1.bibx87" id="text.114"/>, where the 26.4 and 26.5 <inline-formula><mml:math id="M197" display="inline"><mml:mrow><mml:mi mathvariant="normal">kg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, and to a lesser extent the 26.6 <inline-formula><mml:math id="M198" display="inline"><mml:mrow><mml:mi mathvariant="normal">kg</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, isopycnals were regularly upwelled onto the shelf. <xref ref-type="bibr" rid="bib1.bibx87" id="text.115"/> found that the transport of these isopycnals onto the shelf had no significant correlation with upwelling and downwelling strength or timing, aligning with the lack of correlation found between CUC transport and upwelling metrics in this study. Given the similar present properties of the CUC and offshore deep water (Fig. <xref ref-type="fig" rid="F6"/>), an important open question is whether these two source waters will remain aligned in the future. This question is especially relevant given their substantial contributions to both inflow volume and property variability into JdF (Figs. <xref ref-type="fig" rid="F5"/>, <xref ref-type="fig" rid="F8"/>).</p>
</sec>
<sec id="Ch1.S5.SS1.SSS2">
  <label>5.1.2</label><title>Oxygen and Nutrients</title>
      <p id="d2e4258">DO and NO<sub>3</sub> variability are both predominantly driven by dynamical changes in source water inflow, though property variability also plays a notable role, explaining roughly one-sixth of total variability. Although DO and NO<sub>3</sub> are related, with elevated nutrient concentrations commonly associated with lower oxygen conditions, the source waters driving variability in these two tracers differ substantially. Variability in DO is primarily controlled by shallow source waters, dominated by south shelf water and followed by north shelf water, both of which display significant interannual variability in volume (Fig. <xref ref-type="fig" rid="F5"/>) and oxygen content (Figs. <xref ref-type="fig" rid="F7"/>, <xref ref-type="fig" rid="F6"/>). In contrast, NO<sub>3</sub> variability is predominantly influenced by deep source waters, which exhibit minimal interannual variability in NO<sub>3</sub> properties (Figs. <xref ref-type="fig" rid="F7"/>, <xref ref-type="fig" rid="F6"/>).</p>
      <p id="d2e4308">Deep waters almost entirely drive NO<sub>3</sub> variability through their dynamical contributions. This dependence is consistent with observational data, which show little variability in NO<sub>3</sub> and DIP concentrations within deep source waters across the entire dataset (Fig. <xref ref-type="fig" rid="F6"/>). DSi, however, exhibits greater observed variability and relatively lower concentrations compared to NO<sub>3</sub> and DIP. Given these differences, the flux of DIP into JdF may follow a similar variability pattern to NO<sub>3</sub>, whereas DSi variability likely depends on additional factors. It is plausible that deep source waters still drive much of the DSi flux variability but that increased property variability also plays a role, or its possible that shallow waters have a greater contribution due to DSi inputs from freshwater <xref ref-type="bibr" rid="bib1.bibx36" id="paren.116"/>.</p>
      <p id="d2e4353">Concurrent with increasing spice, nutrient concentrations in the CUC have risen while DO concentrations have declined near JdF, driven by an enhanced contribution of PEW <xref ref-type="bibr" rid="bib1.bibx94" id="paren.117"/>. The associated shoaling and intensification of the CUC <xref ref-type="bibr" rid="bib1.bibx94 bib1.bibx14" id="paren.118"/> may further elevate the flux of nutrient-rich, low-oxygen water into the JdF inflow. In the southern end of the CCS, <inline-formula><mml:math id="M207" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> flux to the shelf has nearly doubled from 1980 to 2010 due largely to increased wind-driven upwelling intensity <xref ref-type="bibr" rid="bib1.bibx67" id="paren.119"/>, this intensification has also been observed in the northern end of the system <xref ref-type="bibr" rid="bib1.bibx50" id="paren.120"/> and impact south shelf water nutrient content both remotely and locally. Meanwhile, the rising SST in the region <xref ref-type="bibr" rid="bib1.bibx81" id="paren.121"/> is increasing stratification <xref ref-type="bibr" rid="bib1.bibx12" id="paren.122"/>, potentially limiting mixing between south shelf and CUC waters, but has a smaller impact than wind-driven increases in upwelling <xref ref-type="bibr" rid="bib1.bibx67" id="paren.123"/>. This increasing SST also directly lowers oxygen concentrations in shallow waters through reduced oxygen solubility and elevated respiration rates <xref ref-type="bibr" rid="bib1.bibx57" id="paren.124"/>. Additionally, the North Pacific Current, feeding the California Current (and thus offshore deep water), is currently undergoing deoxygenation linked to diminished ventilation from upstream stratification <xref ref-type="bibr" rid="bib1.bibx93 bib1.bibx14" id="paren.125"/>, further contributing to a potential decreasing oxygen trend in JdF inflow.</p>
</sec>
<sec id="Ch1.S5.SS1.SSS3">
  <label>5.1.3</label><title>Carbonate Chemistry Constituents</title>
      <p id="d2e4403">Among the tracers examined, [TA-DIC] is the most strongly influenced by property variability, which explains approximately one-quarter of its interannual variability (Fig. <xref ref-type="fig" rid="F8"/>e). Shallow waters dominate this variability more than for any other tracer: all four shallow source waters contribute more to interannual changes in [TA-DIC] than the deep source waters. When TA and DIC are analyzed separately (not shown), their interannual variability closely mirrors that of salinity, consistent with previously reported covariance in the region <xref ref-type="bibr" rid="bib1.bibx53" id="paren.126"/>. This covariance supports the use of [TA-DIC] as a more informative metric for diagnosing drivers of OA in coastal systems <xref ref-type="bibr" rid="bib1.bibx130" id="paren.127"/>.</p>
      <p id="d2e4414">The strong influence of shallow waters on [TA-DIC] variability is consistent with current understanding of the carbonate system in the Northeast Pacific. Deep waters in this region are largely isolated from anthropogenic <inline-formula><mml:math id="M208" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, but naturally exhibit high DIC concentrations due to the long-term accumulation of CO<sub>2</sub> from microbial respiration <xref ref-type="bibr" rid="bib1.bibx45" id="paren.128"/>. In contrast, shallow waters – historically lower in DIC – have shown a significant upward trend in DIC over the past 30 years, attributed to anthropogenic CO<sub>2</sub> uptake <xref ref-type="bibr" rid="bib1.bibx51" id="paren.129"/>. The prominent role of shallow waters in driving [TA-DIC] variability in JdF inflow underscores the vulnerability of the Salish Sea to acidification via anthropogenic CO<sub>2</sub> uptake, as stressed in previous Salish Sea OA research <xref ref-type="bibr" rid="bib1.bibx69 bib1.bibx46" id="paren.130"><named-content content-type="pre">e.g.,</named-content></xref>.</p>
</sec>
<sec id="Ch1.S5.SS1.SSS4">
  <label>5.1.4</label><title>Denitrification</title>
      <p id="d2e4475">Our analysis of denitrification is limited to source water differences discerned from observations, as model outputs do not include <inline-formula><mml:math id="M212" display="inline"><mml:mrow><mml:msup><mml:mi>N</mml:mi><mml:mo>*</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M213" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, or <inline-formula><mml:math id="M214" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. Based on mean observed <inline-formula><mml:math id="M215" display="inline"><mml:mrow><mml:msup><mml:mi>N</mml:mi><mml:mo>*</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> values (Table <xref ref-type="table" rid="TA3"/>), denitrification appears to be active in all source waters, but is 1.5 to 2 times as strong in the shallow source waters compared to the deep. This result is somewhat unexpected, as we anticipated stronger denitrification in deep waters due to their lower oxygen concentrations <xref ref-type="bibr" rid="bib1.bibx25" id="paren.131"/>. One possible explanation is that shallow waters have more contact with sediment where denitrification is occurring <xref ref-type="bibr" rid="bib1.bibx40" id="paren.132"/>, and that this signal is carried in the shallow source waters despite these waters existing above the typical oxygen minimum zone depth in the region <xref ref-type="bibr" rid="bib1.bibx105" id="paren.133"/>. It should be noted that deviations from the Redfield ratio (and thus <inline-formula><mml:math id="M216" display="inline"><mml:mrow><mml:msup><mml:mi>N</mml:mi><mml:mo>*</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>) can occur due to processes outside of denitrification, such as atmospheric deposition of nitrogen rich material, differing rates of nitrogen and phosphorus uptake or remineralisation, and nitrogen fixation <xref ref-type="bibr" rid="bib1.bibx78" id="paren.134"/>. It is possible that the negative <inline-formula><mml:math id="M217" display="inline"><mml:mrow><mml:msup><mml:mi>N</mml:mi><mml:mo>*</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> found in the shallow source waters is due to the preferential remineralisation of total organic phosphorus or the preferential uptake of NO<sub>3</sub> in the surface layer, as opposed to strong denitrification at the shelf bottom.</p>
      <p id="d2e4569">Predicting temporal variability in denitrification and nitrification is challenging due to the number of interacting tracers involved. The strength of denitrification depends on the availability of NO<sub>3</sub>, DIP, Fe, Cu, organic matter, and DO <xref ref-type="bibr" rid="bib1.bibx25 bib1.bibx80" id="paren.135"/>. In general, NO<sub>3</sub> and DO are negatively correlated due to respiration, and as such, variability in denitrification may be expected to follow similar patterns to these two tracers (Fig. <xref ref-type="fig" rid="F8"/>c, d), with both property and dynamical variability playing important roles. However, the drivers differ: DO variability is dominated by changes in shallow source waters, while NO<sub>3</sub> (and likely DIP) is primarily influenced by the dynamics of deep source waters. The combined effects of decreasing oxygen and shifting nutrient distributions (Sect. <xref ref-type="sec" rid="Ch1.S5.SS1.SSS2"/>) make it difficult to predict how denitrification in shallow waters will evolve given its sensitivity to multiple interacting drivers.</p>
</sec>
<sec id="Ch1.S5.SS1.SSS5">
  <label>5.1.5</label><title>Trace Metals</title>
      <p id="d2e4616">The resolution of trace metal observations in the study region is unfortunately insufficient to concretely attribute distinct trace metal properties to each source water. However, observations from within the Salish Sea and other parts of the CCS provide useful benchmarks for interpreting the trace metal concentrations. For example, at a surface depth of 75 m approximately 150 km offshore of San Francisco, <xref ref-type="bibr" rid="bib1.bibx22" id="text.136"/> reported concentrations of  Cd <inline-formula><mml:math id="M222" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.29</mml:mn></mml:mrow></mml:math></inline-formula>, Cu <inline-formula><mml:math id="M223" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1.35</mml:mn></mml:mrow></mml:math></inline-formula>, Ni <inline-formula><mml:math id="M224" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mn mathvariant="normal">4.34</mml:mn></mml:mrow></mml:math></inline-formula>, and Zn <inline-formula><mml:math id="M225" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1.27</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">nmol</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">kg</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. With the exception of Zn, these values closely match the offshore surface concentrations from GEOTRACES data used in this study (Table <xref ref-type="table" rid="TA3"/>). At 490 m in the same location, Bruland found  Cd <inline-formula><mml:math id="M226" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1.04</mml:mn></mml:mrow></mml:math></inline-formula>, Cu <inline-formula><mml:math id="M227" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1.53</mml:mn></mml:mrow></mml:math></inline-formula>, Ni <inline-formula><mml:math id="M228" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mn mathvariant="normal">7.19</mml:mn></mml:mrow></mml:math></inline-formula>, and Zn <inline-formula><mml:math id="M229" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mn mathvariant="normal">5.37</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">nmol</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">kg</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> – all within a standard deviation of our offshore deep water measurements. It is important to note, however, that standard deviations for Zn and Ni as classified according to the given source waters (Table <xref ref-type="table" rid="TA3"/>) are relatively large, which limits the precision of source water-specific comparisons. Additionally, <xref ref-type="bibr" rid="bib1.bibx77" id="text.137"/> reported concentrations of  <inline-formula><mml:math id="M230" display="inline"><mml:mn mathvariant="normal">1.31</mml:mn></mml:math></inline-formula> and <inline-formula><mml:math id="M231" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.73</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">nmol</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">kg</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> for Fe and Mn, respectively, at 250 m depth offshore of the California Coast, both comparable to the mean values for CUC water in this study. More recent measurements of Fe along the continental slope of southern Oregon reported in <xref ref-type="bibr" rid="bib1.bibx122" id="text.138"/> ranged from 0.2–0.4 <inline-formula><mml:math id="M232" display="inline"><mml:mrow><mml:mi mathvariant="normal">nmol</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">kg</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> in a <inline-formula><mml:math id="M233" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mi mathvariant="normal">A</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> range of 32.2–33.4 <inline-formula><mml:math id="M234" display="inline"><mml:mrow><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">kg</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, and increased quickly to 0.3–0.8 <inline-formula><mml:math id="M235" display="inline"><mml:mrow><mml:mi mathvariant="normal">nmol</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">kg</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> in a <inline-formula><mml:math id="M236" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mi mathvariant="normal">A</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> range of 33.5–33.8 <inline-formula><mml:math id="M237" display="inline"><mml:mrow><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">kg</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. These concentrations are low compared to the Fe concentration of the CUC in this study, but align closely with the <inline-formula><mml:math id="M238" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mi mathvariant="normal">A</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and Fe ranges observed for offshore deep and south shelf water (Table <xref ref-type="table" rid="TA3"/>).</p>
      <p id="d2e4869">Within the Salish Sea, studies of Cd and Cu concentrations have highlighted Pacific inflow through JdF as the largest contributor of these trace metals <xref ref-type="bibr" rid="bib1.bibx74 bib1.bibx126" id="paren.139"/>. At JdF stations, Cd and Cu were <inline-formula><mml:math id="M239" display="inline"><mml:mn mathvariant="normal">0.8</mml:mn></mml:math></inline-formula> and <inline-formula><mml:math id="M240" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.49</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">nmol</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">kg</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> in the inflowing layer, respectively <xref ref-type="bibr" rid="bib1.bibx74 bib1.bibx126" id="paren.140"/>. Cd at JdF closely matches mean concentrations observed in offshore deep, CUC, and north shelf source waters (Table <xref ref-type="table" rid="TA3"/>), while the Cu concentration is in the range of any of the source waters. Without sufficient measurements to discern significant differences in trace metal concentrations between source waters, the degree of their contribution is difficult to quantify.</p>
      <p id="d2e4907">The high Cd, Mn, and Fe in north shelf water compared to the other shallow sources, and the similarity of these measurements to deep waters reveals an interesting change in connection between deep water and the shelf. All trace metal measurements in shelf waters were collected in the summer of 2010 <xref ref-type="bibr" rid="bib1.bibx3" id="paren.141"/>; meaning that all measurements in both shelf waters were collected during upwelling. The stronger connection between the trace metal properties of north shelf and the deep waters than in south shelf waters over the same period may suggest enhanced upwelling north of 49<sup>∘</sup> than south of 47.3°  <xref ref-type="bibr" rid="bib1.bibx103 bib1.bibx64" id="paren.142"/>.</p>
      <p id="d2e4925">The trace metal characteristics of CUC, offshore deep, and offshore surface water reveal distinctions in the source waters not evident from the other biogeochemical tracers. A significant difference between the trace metal concentrations of the CUC with the offshore source waters (Table <xref ref-type="table" rid="TA3"/>) is its elevated concentrations of lithogenic metals – Co, Fe, and Mn <xref ref-type="bibr" rid="bib1.bibx132 bib1.bibx76" id="paren.143"/> – likely reflecting its path along the continental slope and the influence of bedrock weathering. Offshore source waters differ from each other in all measured trace metals, with offshore deep water showing higher concentrations than offshore surface water of both lithogenic and anthropogenic (Cu, Cd, Ni, Zn; <xref ref-type="bibr" rid="bib1.bibx82" id="altparen.144"/>) metals, with the exception of Mn (Table <xref ref-type="table" rid="TA3"/>). Although atmospheric deposition may be a major source of anthropogenic and lithogenic metals to the surface ocean in the Northeast Pacific <xref ref-type="bibr" rid="bib1.bibx88 bib1.bibx32 bib1.bibx31 bib1.bibx24" id="paren.145"/>, trace metals in the surface layer may be depleted due to biological uptake (particularly Fe and Zn, to a lesser extent Mn, Ni, and Cu, and trace amounts of Cd; <xref ref-type="bibr" rid="bib1.bibx124 bib1.bibx98 bib1.bibx100" id="altparen.146"/>) or particle reactivity (Fe, Mn, Zn, and Cd; <xref ref-type="bibr" rid="bib1.bibx23" id="altparen.147"/>).</p>
</sec>
</sec>
<sec id="Ch1.S5.SS2">
  <label>5.2</label><title>Limitations</title>
<sec id="Ch1.S5.SS2.SSS1">
  <label>5.2.1</label><title>Observations</title>
      <p id="d2e4964">As is particularly evident in the case of trace metals, observations of biogeochemical conditions remain sparse for certain tracers, source waters, and time periods. For example, the north source water draws from a relatively small spatial domain (Table <xref ref-type="table" rid="T1"/>), due to the proximity of Juan de Fuca Strait to the northern boundary of the CCS. Consequently, this source water is less well-sampled than others and lacks any observations of NH<sub>4</sub> or <inline-formula><mml:math id="M243" display="inline"><mml:mrow><mml:msubsup><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> (Table <xref ref-type="table" rid="TA2"/>). Low sample counts, whether in specific source waters or for particular tracers, reduce the statistical significance of some of the mean properties estimated in this study (Table <xref ref-type="table" rid="TA3"/>).</p>
      <p id="d2e4998">Unsurprisingly, the observational dataset is heavily biased toward the summer months/upwelling periods across all source waters (Table <xref ref-type="table" rid="TA2"/>). Measurements of carbon chemistry components are particularly seasonal, with DIC and TA during downwelling only available for the CUC. This seasonal bias likely affects mean conditions reported in the study for variables with strong seasonal cycles. For instance, DIC is drawn down during summer by surface-layer primary production <xref ref-type="bibr" rid="bib1.bibx99" id="paren.148"/>, which may result in an underestimation of DIC concentrations in shallow source waters due to summer-skewed sampling.</p>
      <p id="d2e5006">To increase the number of measurements available, observations were collated from outside the LiveOcean domain. The source water definitions are based on previous research on the northern CCS <xref ref-type="bibr" rid="bib1.bibx120 bib1.bibx27" id="paren.149"/> and the analysis of source water properties dependent on those definitions, such as the decision to split offshore water into a surface and deep components due to the presence of distinct <inline-formula><mml:math id="M244" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> groups (Sect. S2.2). However, the mean source water properties are not very sensitive to small changes in the source definitions (Sect. S2). Additionally, since the observations do not spatially coincide with the model analysis domain (Fig. <xref ref-type="fig" rid="F1"/>), they are not directly comparable with the Lagrangian model output. In this paper, observed source water properties are thus used qualitatively – for instance, to compare whether the CUC is nutrient-rich relative to south shelf water – rather than as definitive values.</p>
</sec>
<sec id="Ch1.S5.SS2.SSS2">
  <label>5.2.2</label><title>Model</title>
      <p id="d2e5033">As noted in Sect. <xref ref-type="sec" rid="Ch1.S3.SS2"/>, Ariane does not include sub-grid scale mixing, and instead relies on mixing resolved by the underlying numerical model. Sub-grid scale mixing (e.g., as random walk steps) would generally act to slow parcel trajectories, potentially increasing parcel loss rates. However, prior Lagrangian work in the Salish Sea using a model with 500 m resolution found the effect of sub-grid mixing on estuarine exchange to be minimal – slowing parcels by no more than 2 % even in a region of intense vertical mixing <xref ref-type="bibr" rid="bib1.bibx2" id="paren.150"/>. In that case, the model captured the largest eddies, which contribute most to mixing; as a result, omitting sub-grid scale mixing had limited impact. Although the LiveOcean model used here has coarser resolution, the study region exhibits much weaker mixing than the site assessed in <xref ref-type="bibr" rid="bib1.bibx2" id="text.151"/>. Therefore, large-scale eddies are still expected to be well resolved, and the omission of sub-grid scale mixing likely has a similarly small effect on the results.</p>
      <p id="d2e5044">The 10-year model period analyzed in this study is not sufficient to resolve long-term trends in biogeochemical conditions or multiple transitions of low-frequency climate modes such as the PDO and NPGO <xref ref-type="bibr" rid="bib1.bibx41" id="paren.152"/>. Observed changes in CCS water properties – driven by both natural variability and anthropogenic forcing – are well documented and expected to continue <xref ref-type="bibr" rid="bib1.bibx16 bib1.bibx94 bib1.bibx41" id="paren.153"/>. Applying the decomposition framework (Eq. <xref ref-type="disp-formula" rid="Ch1.E2"/>) to a longer time series, or using a pre-industrial baseline instead of a decadal mean, would likely reveal a larger role for property variability than was detected here. Additionally, extreme events may be underrepresented in the 10-year model record, as ocean models often struggle to reproduce anomalies. For instance, while model-observation agreement was generally good for DO and NO<sub>3</sub> (Sect. S1), the anomalous conditions observed on the shelf in 2019 (low nutrients, high DO) and in 2021 (high nutrients, extreme hypoxia; <xref ref-type="bibr" rid="bib1.bibx52" id="altparen.154"/>) are not apparent in either the modelled JdF inflow (Fig. <xref ref-type="fig" rid="F5"/>) or source water properties (Fig. <xref ref-type="fig" rid="F7"/>).</p>
</sec>
</sec>
</sec>
<sec id="Ch1.S6" sec-type="conclusions">
  <label>6</label><title>Conclusions</title>
      <p id="d2e5083">Source water contributions to JdF inflow, and the modelled and observed biogeochemical properties of these source waters, highlight the diverse drivers of interannual variability in tracer flux.</p>
      <p id="d2e5086">Deep source waters (CUC, offshore deep) are the dominant Pacific contributors (i.e. excluding recirculated JdF outflow) to annual JdF inflow. These waters are denser, spicier, nutrient-rich, and low in DO compared to shallow source waters (south shelf, north shelf, offshore surface, south brackish), and they exhibit relatively uniform properties across different deep sources. Their influence on biogeochemical variability is primarily through dynamical variability, especially for NO<sub>3</sub>, where deep waters are the principal driver.</p>
      <p id="d2e5098">In contrast, shallow source waters are more distinct from one another and exhibit greater interannual property variability than the deep waters. South shelf water, for instance, is spicier and more nutrient-poor than north shelf water, and was noticeably impacted by warming in the Blob years. The volume of inflow from shallow source waters depends on seasonal wind forcing: longer upwelling periods reduce contributions from south shelf and brackish waters, while stronger upwelling increases north shelf water inflow. Despite their smaller overall volume contribution, shallow source waters disproportionately impact variability in tracer fluxes, particularly in [TA-DIC] and DO, due to their variable properties and inflow volumes.</p>
      <p id="d2e5101">South shelf water and the deep source waters are the most important drivers of biogeochemical variability in JdF inflow. As the CUC continues to be influenced by an increasing contribution of PEW, it is likely to play an even larger role in both dynamical and property variability. South shelf water will be affected both by changing CUC properties – via mixing on the shelf – and by direct anthropogenic impacts in the surface ocean, including CO<sub>2</sub> uptake and warming. Offshore deep water, likely representing the subsurface portion of the CC, is already undergoing warming and deoxygenation. While CUC and offshore deep water presently have remarkably similar properties, ongoing anthropogenic change may cause them to diverge.</p>
      <p id="d2e5114">Understanding the vulnerability of JdF inflow to future change will require accurate projections of both circulation and source water properties in shelf and subsurface currents at the northern end of the CCS.</p>
</sec>

      
      </body>
    <back><app-group>

<app id="App1.Ch1.S1">
  <label>Appendix A</label><title>Tables</title>

<table-wrap id="TA1"><label>Table A1</label><caption><p id="d2e5133">Summary of collated observations (Fig. <xref ref-type="fig" rid="F1"/>) used in water source property definitions. The description of the dataset and number of observations reflects what was used in this study post-processing and is not a full reflection of what is available within that dataset. The inclusion of a variable in a dataset does not necessarily mean that it was measured at every site – the number of observations per variable, divided into the regions defined in Table <xref ref-type="table" rid="T1"/>, is provided in Table <xref ref-type="table" rid="TA2"/>.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="5">
     <oasis:colspec colnum="1" colname="col1" align="justify" colwidth="4cm"/>
     <oasis:colspec colnum="2" colname="col2" align="justify" colwidth="3cm"/>
     <oasis:colspec colnum="3" colname="col3" align="justify" colwidth="3cm"/>
     <oasis:colspec colnum="4" colname="col4" align="justify" colwidth="6cm"/>
     <oasis:colspec colnum="5" colname="col5" align="justify" colwidth="4cm"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1" align="left">Dataset Title</oasis:entry>
         <oasis:entry colname="col2" align="left">Variables</oasis:entry>
         <oasis:entry colname="col3" align="right">Observations (unique)</oasis:entry>
         <oasis:entry colname="col4" align="left">Description</oasis:entry>
         <oasis:entry colname="col5" align="left">Source</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1" align="left">GEOTRACES</oasis:entry>
         <oasis:entry colname="col2" align="left">temperature, <inline-formula><mml:math id="M248" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mi mathvariant="normal">A</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, DO, <inline-formula><mml:math id="M249" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M250" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M251" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, DIP, DSi, Cd, Co, Cu, Fe, Mn, Ni, Zn</oasis:entry>
         <oasis:entry colname="col3" align="right">735 (410)</oasis:entry>
         <oasis:entry colname="col4" align="left">Bottle samples of trace elements along Line P, La Perouse, and Gulf of Alaska cruises from 2012–2020, and BC coast Cruise in 2010.</oasis:entry>
         <oasis:entry colname="col5" align="left"><xref ref-type="bibr" rid="bib1.bibx54" id="text.155"/>; <xref ref-type="bibr" rid="bib1.bibx117" id="text.156"/>; <xref ref-type="bibr" rid="bib1.bibx116" id="text.157"/>; <xref ref-type="bibr" rid="bib1.bibx3" id="text.158"/></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1" align="left">Institute of Ocean Sciences (IOS) Moored CTD Data</oasis:entry>
         <oasis:entry colname="col2" align="left">temperature, <inline-formula><mml:math id="M252" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mi mathvariant="normal">A</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, DO</oasis:entry>
         <oasis:entry colname="col3" align="right">79 047 (79 046)</oasis:entry>
         <oasis:entry colname="col4" align="left">CTDs mounted on moorings along the BC coast and shelf between 2008 and 2023.</oasis:entry>
         <oasis:entry colname="col5" align="left"><xref ref-type="bibr" rid="bib1.bibx39" id="text.159"/></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1" align="left">IOS CTD Profile Data</oasis:entry>
         <oasis:entry colname="col2" align="left">temperature, <inline-formula><mml:math id="M253" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mi mathvariant="normal">A</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, DO</oasis:entry>
         <oasis:entry colname="col3" align="right">54 428 (55 169)</oasis:entry>
         <oasis:entry colname="col4" align="left">CTD profiles  alongshore and offshore the BC, Alaska, Washington, and Oregon coast between 1965 and 2023.</oasis:entry>
         <oasis:entry colname="col5" align="left"><xref ref-type="bibr" rid="bib1.bibx38" id="text.160"/></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1" align="left">IOS Rosette Bottle Data</oasis:entry>
         <oasis:entry colname="col2" align="left">temperature, <inline-formula><mml:math id="M254" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mi mathvariant="normal">A</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, DO, <inline-formula><mml:math id="M255" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, DIP, DSi</oasis:entry>
         <oasis:entry colname="col3" align="right">77 675 (77 182)</oasis:entry>
         <oasis:entry colname="col4" align="left">Niskin bottle samples alongshore and offshore of the BC, Alaska, and northern Washington coast between 1930 and 2023. A large portion  collected as part of Line P or La Perouse cruises.</oasis:entry>
         <oasis:entry colname="col5" align="left"><xref ref-type="bibr" rid="bib1.bibx37" id="text.161"/></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1" align="left">National Centre for Environmental Informatics (NCEI) Historical Pacific Northwest (PNW) Data</oasis:entry>
         <oasis:entry colname="col2" align="left">temperature, <inline-formula><mml:math id="M256" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mi mathvariant="normal">A</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, DO, <inline-formula><mml:math id="M257" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, DIP, DIC, TA</oasis:entry>
         <oasis:entry colname="col3" align="right">545 (377)</oasis:entry>
         <oasis:entry colname="col4" align="left">Discrete bottle observations from the R/Vs <italic>Endeavour</italic>, <italic>CCGS John P. Tully</italic> and <italic>Parizeau Line P cruises</italic> from 1985 to 2017</oasis:entry>
         <oasis:entry colname="col5" align="left"><xref ref-type="bibr" rid="bib1.bibx96" id="text.162"/></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1" align="left">NCEI Coastal Ocean Data Analysis Product in North America</oasis:entry>
         <oasis:entry colname="col2" align="left">temperature, <inline-formula><mml:math id="M258" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mi mathvariant="normal">A</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, DO, <inline-formula><mml:math id="M259" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M260" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M261" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, DIP, DSi, DIC, TA, <inline-formula><mml:math id="M262" display="inline"><mml:mrow><mml:msubsup><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M263" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Ω</mml:mi><mml:mi mathvariant="normal">ar</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M264" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Ω</mml:mi><mml:mi mathvariant="normal">cal</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3" align="right">3367 (3257)</oasis:entry>
         <oasis:entry colname="col4" align="left">Data from the West Coast Ocean Acidification (WCOA) cruises and other west coast of North American cruises with carbon data from 2011–2017 and 2021.</oasis:entry>
         <oasis:entry colname="col5" align="left"><xref ref-type="bibr" rid="bib1.bibx70" id="text.163"/></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1" align="left">Newport Hydrographic Line (NHL)</oasis:entry>
         <oasis:entry colname="col2" align="left">temperature, <inline-formula><mml:math id="M265" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mi mathvariant="normal">A</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, DO</oasis:entry>
         <oasis:entry colname="col3" align="right">488 997 (488 987)</oasis:entry>
         <oasis:entry colname="col4" align="left">CTD data collected bi-weekly at the NHL off Oregon from 1997–2021.</oasis:entry>
         <oasis:entry colname="col5" align="left"><xref ref-type="bibr" rid="bib1.bibx106" id="text.164"/></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1" align="left">Ocean Observatories Initiative (OOI) Coastal Endurance: Washington</oasis:entry>
         <oasis:entry colname="col2" align="left">temperature, <inline-formula><mml:math id="M266" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mi mathvariant="normal">A</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, DO, <inline-formula><mml:math id="M267" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3" align="right">(40 152)</oasis:entry>
         <oasis:entry colname="col4" align="left">Two lines of three near surface moorings at 44.6 and 47.0° N, with hourly measurements at the coast, in the mid-shelf, and over the continental slope from 2014 to 2023.</oasis:entry>
         <oasis:entry colname="col5" align="left"><xref ref-type="bibr" rid="bib1.bibx101" id="text.165"/></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1" align="left">Olympic Coast National Marine Sanctuary (OCNMS) Cruise data</oasis:entry>
         <oasis:entry colname="col2" align="left">temperature, <inline-formula><mml:math id="M268" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mi mathvariant="normal">A</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, DO</oasis:entry>
         <oasis:entry colname="col3" align="right">(157)</oasis:entry>
         <oasis:entry colname="col4" align="left">CTD data collected within the OCNMS region (northern end of the Pacific Coast of Washington) from 2004–2023.</oasis:entry>
         <oasis:entry colname="col5" align="left"><xref ref-type="bibr" rid="bib1.bibx107" id="text.166"/></oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup>

</oasis:table></table-wrap>

<table-wrap id="TA2"><label>Table A2</label><caption><p id="d2e5613">Number of observations in each source water (Table <xref ref-type="table" rid="T1"/>) during upwelling (summer) and downwelling (winter) periods. The source of observations for each variable is summarized in Table <xref ref-type="table" rid="TA1"/>.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="11">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right" colsep="1"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right" colsep="1"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="right" colsep="1"/>
     <oasis:colspec colnum="8" colname="col8" align="right"/>
     <oasis:colspec colnum="9" colname="col9" align="right" colsep="1"/>
     <oasis:colspec colnum="10" colname="col10" align="right"/>
     <oasis:colspec colnum="11" colname="col11" align="right"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry rowsep="1" namest="col2" nameend="col3" align="center" colsep="1">Offshore Surface </oasis:entry>
         <oasis:entry rowsep="1" namest="col4" nameend="col5" align="center" colsep="1">Offshore Deep </oasis:entry>
         <oasis:entry rowsep="1" namest="col6" nameend="col7" align="center" colsep="1">CUC </oasis:entry>
         <oasis:entry rowsep="1" namest="col8" nameend="col9" align="center" colsep="1">North </oasis:entry>
         <oasis:entry rowsep="1" namest="col10" nameend="col11" align="center">South </oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Variable</oasis:entry>
         <oasis:entry colname="col2">Summer</oasis:entry>
         <oasis:entry colname="col3">Winter</oasis:entry>
         <oasis:entry colname="col4">Summer</oasis:entry>
         <oasis:entry colname="col5">Winter</oasis:entry>
         <oasis:entry colname="col6">Summer</oasis:entry>
         <oasis:entry colname="col7">Winter</oasis:entry>
         <oasis:entry colname="col8">Summer</oasis:entry>
         <oasis:entry colname="col9">Winter</oasis:entry>
         <oasis:entry colname="col10">Summer</oasis:entry>
         <oasis:entry colname="col11">Winter</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M269" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">44 574</oasis:entry>
         <oasis:entry colname="col3">17 889</oasis:entry>
         <oasis:entry colname="col4">91 288</oasis:entry>
         <oasis:entry colname="col5">34 763</oasis:entry>
         <oasis:entry colname="col6">86 258</oasis:entry>
         <oasis:entry colname="col7">36 164</oasis:entry>
         <oasis:entry colname="col8">10 317</oasis:entry>
         <oasis:entry colname="col9">5867</oasis:entry>
         <oasis:entry colname="col10">175 463</oasis:entry>
         <oasis:entry colname="col11">83 248</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M270" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mi>A</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">70 186</oasis:entry>
         <oasis:entry colname="col3">28,283</oasis:entry>
         <oasis:entry colname="col4">112 442</oasis:entry>
         <oasis:entry colname="col5">45 799</oasis:entry>
         <oasis:entry colname="col6">99 254</oasis:entry>
         <oasis:entry colname="col7">47 747</oasis:entry>
         <oasis:entry colname="col8">36 611</oasis:entry>
         <oasis:entry colname="col9">28 068</oasis:entry>
         <oasis:entry colname="col10">175 871</oasis:entry>
         <oasis:entry colname="col11">83 746</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">DO</oasis:entry>
         <oasis:entry colname="col2">38 697</oasis:entry>
         <oasis:entry colname="col3">17 094</oasis:entry>
         <oasis:entry colname="col4">79 470</oasis:entry>
         <oasis:entry colname="col5">31 028</oasis:entry>
         <oasis:entry colname="col6">74 638</oasis:entry>
         <oasis:entry colname="col7">32 367</oasis:entry>
         <oasis:entry colname="col8">5958</oasis:entry>
         <oasis:entry colname="col9">2286</oasis:entry>
         <oasis:entry colname="col10">127 543</oasis:entry>
         <oasis:entry colname="col11">65 382</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M271" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">8800</oasis:entry>
         <oasis:entry colname="col3">2554</oasis:entry>
         <oasis:entry colname="col4">4414</oasis:entry>
         <oasis:entry colname="col5">1449</oasis:entry>
         <oasis:entry colname="col6">5857</oasis:entry>
         <oasis:entry colname="col7">556</oasis:entry>
         <oasis:entry colname="col8">3658</oasis:entry>
         <oasis:entry colname="col9">317</oasis:entry>
         <oasis:entry colname="col10">2941</oasis:entry>
         <oasis:entry colname="col11">1175</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M272" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">326</oasis:entry>
         <oasis:entry colname="col3">–</oasis:entry>
         <oasis:entry colname="col4">193</oasis:entry>
         <oasis:entry colname="col5">–</oasis:entry>
         <oasis:entry colname="col6">908</oasis:entry>
         <oasis:entry colname="col7">18</oasis:entry>
         <oasis:entry colname="col8">36</oasis:entry>
         <oasis:entry colname="col9">–</oasis:entry>
         <oasis:entry colname="col10">1712</oasis:entry>
         <oasis:entry colname="col11">–</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M273" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">157</oasis:entry>
         <oasis:entry colname="col3">–</oasis:entry>
         <oasis:entry colname="col4">92</oasis:entry>
         <oasis:entry colname="col5">–</oasis:entry>
         <oasis:entry colname="col6">775</oasis:entry>
         <oasis:entry colname="col7">18</oasis:entry>
         <oasis:entry colname="col8">–</oasis:entry>
         <oasis:entry colname="col9">–</oasis:entry>
         <oasis:entry colname="col10">1588</oasis:entry>
         <oasis:entry colname="col11">–</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">DIP</oasis:entry>
         <oasis:entry colname="col2">8882</oasis:entry>
         <oasis:entry colname="col3">2539</oasis:entry>
         <oasis:entry colname="col4">4743</oasis:entry>
         <oasis:entry colname="col5">1535</oasis:entry>
         <oasis:entry colname="col6">5913</oasis:entry>
         <oasis:entry colname="col7">563</oasis:entry>
         <oasis:entry colname="col8">3775</oasis:entry>
         <oasis:entry colname="col9">219</oasis:entry>
         <oasis:entry colname="col10">1774</oasis:entry>
         <oasis:entry colname="col11">5</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">DSi</oasis:entry>
         <oasis:entry colname="col2">8366</oasis:entry>
         <oasis:entry colname="col3">2440</oasis:entry>
         <oasis:entry colname="col4">4718</oasis:entry>
         <oasis:entry colname="col5">1556</oasis:entry>
         <oasis:entry colname="col6">5775</oasis:entry>
         <oasis:entry colname="col7">488</oasis:entry>
         <oasis:entry colname="col8">3735</oasis:entry>
         <oasis:entry colname="col9">317</oasis:entry>
         <oasis:entry colname="col10">1774</oasis:entry>
         <oasis:entry colname="col11">5</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">TA</oasis:entry>
         <oasis:entry colname="col2">320</oasis:entry>
         <oasis:entry colname="col3">–</oasis:entry>
         <oasis:entry colname="col4">176</oasis:entry>
         <oasis:entry colname="col5">–</oasis:entry>
         <oasis:entry colname="col6">1010</oasis:entry>
         <oasis:entry colname="col7">89</oasis:entry>
         <oasis:entry colname="col8">35</oasis:entry>
         <oasis:entry colname="col9">–</oasis:entry>
         <oasis:entry colname="col10">1726</oasis:entry>
         <oasis:entry colname="col11">–</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">DIC</oasis:entry>
         <oasis:entry colname="col2">303</oasis:entry>
         <oasis:entry colname="col3">–</oasis:entry>
         <oasis:entry colname="col4">173</oasis:entry>
         <oasis:entry colname="col5">–</oasis:entry>
         <oasis:entry colname="col6">1013</oasis:entry>
         <oasis:entry colname="col7">88</oasis:entry>
         <oasis:entry colname="col8">36</oasis:entry>
         <oasis:entry colname="col9">–</oasis:entry>
         <oasis:entry colname="col10">1747</oasis:entry>
         <oasis:entry colname="col11">–</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M274" display="inline"><mml:mrow><mml:msubsup><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">56</oasis:entry>
         <oasis:entry colname="col3">–</oasis:entry>
         <oasis:entry colname="col4">38</oasis:entry>
         <oasis:entry colname="col5">–</oasis:entry>
         <oasis:entry colname="col6">274</oasis:entry>
         <oasis:entry colname="col7">–</oasis:entry>
         <oasis:entry colname="col8">–</oasis:entry>
         <oasis:entry colname="col9">–</oasis:entry>
         <oasis:entry colname="col10">561</oasis:entry>
         <oasis:entry colname="col11">–</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M275" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Ω</mml:mi><mml:mi mathvariant="normal">ar</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">291</oasis:entry>
         <oasis:entry colname="col3">–</oasis:entry>
         <oasis:entry colname="col4">163</oasis:entry>
         <oasis:entry colname="col5">–</oasis:entry>
         <oasis:entry colname="col6">835</oasis:entry>
         <oasis:entry colname="col7">–</oasis:entry>
         <oasis:entry colname="col8">34</oasis:entry>
         <oasis:entry colname="col9">–</oasis:entry>
         <oasis:entry colname="col10">1680</oasis:entry>
         <oasis:entry colname="col11">–</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M276" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Ω</mml:mi><mml:mi mathvariant="normal">cal</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">291</oasis:entry>
         <oasis:entry colname="col3">–</oasis:entry>
         <oasis:entry colname="col4">163</oasis:entry>
         <oasis:entry colname="col5">–</oasis:entry>
         <oasis:entry colname="col6">835</oasis:entry>
         <oasis:entry colname="col7">–</oasis:entry>
         <oasis:entry colname="col8">34</oasis:entry>
         <oasis:entry colname="col9">–</oasis:entry>
         <oasis:entry colname="col10">1680</oasis:entry>
         <oasis:entry colname="col11">–</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Cd</oasis:entry>
         <oasis:entry colname="col2">242</oasis:entry>
         <oasis:entry colname="col3">41</oasis:entry>
         <oasis:entry colname="col4">175</oasis:entry>
         <oasis:entry colname="col5">22</oasis:entry>
         <oasis:entry colname="col6">17</oasis:entry>
         <oasis:entry colname="col7">–</oasis:entry>
         <oasis:entry colname="col8">3</oasis:entry>
         <oasis:entry colname="col9">–</oasis:entry>
         <oasis:entry colname="col10">2</oasis:entry>
         <oasis:entry colname="col11">–</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Co</oasis:entry>
         <oasis:entry colname="col2">241</oasis:entry>
         <oasis:entry colname="col3">41</oasis:entry>
         <oasis:entry colname="col4">175</oasis:entry>
         <oasis:entry colname="col5">22</oasis:entry>
         <oasis:entry colname="col6">17</oasis:entry>
         <oasis:entry colname="col7">–</oasis:entry>
         <oasis:entry colname="col8">3</oasis:entry>
         <oasis:entry colname="col9">–</oasis:entry>
         <oasis:entry colname="col10">2</oasis:entry>
         <oasis:entry colname="col11">–</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Cu</oasis:entry>
         <oasis:entry colname="col2">242</oasis:entry>
         <oasis:entry colname="col3">41</oasis:entry>
         <oasis:entry colname="col4">175</oasis:entry>
         <oasis:entry colname="col5">22</oasis:entry>
         <oasis:entry colname="col6">17</oasis:entry>
         <oasis:entry colname="col7">–</oasis:entry>
         <oasis:entry colname="col8">3</oasis:entry>
         <oasis:entry colname="col9">–</oasis:entry>
         <oasis:entry colname="col10">2</oasis:entry>
         <oasis:entry colname="col11">–</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Fe</oasis:entry>
         <oasis:entry colname="col2">241</oasis:entry>
         <oasis:entry colname="col3">41</oasis:entry>
         <oasis:entry colname="col4">175</oasis:entry>
         <oasis:entry colname="col5">22</oasis:entry>
         <oasis:entry colname="col6">17</oasis:entry>
         <oasis:entry colname="col7">–</oasis:entry>
         <oasis:entry colname="col8">3</oasis:entry>
         <oasis:entry colname="col9">–</oasis:entry>
         <oasis:entry colname="col10">2</oasis:entry>
         <oasis:entry colname="col11">–</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Mn</oasis:entry>
         <oasis:entry colname="col2">242</oasis:entry>
         <oasis:entry colname="col3">41</oasis:entry>
         <oasis:entry colname="col4">175</oasis:entry>
         <oasis:entry colname="col5">22</oasis:entry>
         <oasis:entry colname="col6">16</oasis:entry>
         <oasis:entry colname="col7">–</oasis:entry>
         <oasis:entry colname="col8">3</oasis:entry>
         <oasis:entry colname="col9">–</oasis:entry>
         <oasis:entry colname="col10">2</oasis:entry>
         <oasis:entry colname="col11">–</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Ni</oasis:entry>
         <oasis:entry colname="col2">242</oasis:entry>
         <oasis:entry colname="col3">41</oasis:entry>
         <oasis:entry colname="col4">175</oasis:entry>
         <oasis:entry colname="col5">22</oasis:entry>
         <oasis:entry colname="col6">17</oasis:entry>
         <oasis:entry colname="col7">–</oasis:entry>
         <oasis:entry colname="col8">3</oasis:entry>
         <oasis:entry colname="col9">–</oasis:entry>
         <oasis:entry colname="col10">2</oasis:entry>
         <oasis:entry colname="col11">–</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Zn</oasis:entry>
         <oasis:entry colname="col2">241</oasis:entry>
         <oasis:entry colname="col3">41</oasis:entry>
         <oasis:entry colname="col4">174</oasis:entry>
         <oasis:entry colname="col5">22</oasis:entry>
         <oasis:entry colname="col6">17</oasis:entry>
         <oasis:entry colname="col7">–</oasis:entry>
         <oasis:entry colname="col8">3</oasis:entry>
         <oasis:entry colname="col9">–</oasis:entry>
         <oasis:entry colname="col10">2</oasis:entry>
         <oasis:entry colname="col11">–</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

<table-wrap id="TA3"><label>Table A3</label><caption><p id="d2e6535">Mean (standard deviation) of observed source water properties. Superscripts of the letter “<inline-formula><mml:math id="M277" display="inline"><mml:mi>X</mml:mi></mml:math></inline-formula>” followed by a number denote the source waters with which a given property is not significantly different at the 0.05 confidence interval, the number corresponding to each source water is provided in the table header.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="6">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Variable</oasis:entry>
         <oasis:entry colname="col2">1. Offshore Deep</oasis:entry>
         <oasis:entry colname="col3">2. CUC</oasis:entry>
         <oasis:entry colname="col4">3. South</oasis:entry>
         <oasis:entry colname="col5">4. North</oasis:entry>
         <oasis:entry colname="col6">5. Offshore Surface</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M278" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula> (°C)</oasis:entry>
         <oasis:entry colname="col2">6.4 (1.1)</oasis:entry>
         <oasis:entry colname="col3">7.0 (0.9)</oasis:entry>
         <oasis:entry colname="col4">9.6 (1.8)</oasis:entry>
         <oasis:entry colname="col5">8.9 (1.6)<sup><italic>X</italic>5</sup></oasis:entry>
         <oasis:entry colname="col6">9.0 (3.2)<sup><italic>X</italic>4</sup></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M281" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mi mathvariant="normal">A</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (g kg<sup>−1</sup>)</oasis:entry>
         <oasis:entry colname="col2">34.0 (0.2)</oasis:entry>
         <oasis:entry colname="col3">34.0 (0.1)</oasis:entry>
         <oasis:entry colname="col4">33.0 (0.6)</oasis:entry>
         <oasis:entry colname="col5">32.8 (0.7)</oasis:entry>
         <oasis:entry colname="col6">32.9 (0.6)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M283" display="inline"><mml:mrow><mml:mi mathvariant="italic">ρ</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mo>(</mml:mo><mml:mi mathvariant="normal">kg</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col2">1028.0 (0.7)</oasis:entry>
         <oasis:entry colname="col3">1027.6 (0.7)</oasis:entry>
         <oasis:entry colname="col4">1025.5 (0.8)<sup><italic>X</italic>4</sup></oasis:entry>
         <oasis:entry colname="col5">1025.5 (0.9)<sup><italic>X</italic>3</sup></oasis:entry>
         <oasis:entry colname="col6">1025.6 (1.1)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Spice <inline-formula><mml:math id="M286" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mi mathvariant="normal">kg</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M287" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.2</mml:mn></mml:mrow></mml:math></inline-formula> (0.1)</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M288" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.1</mml:mn></mml:mrow></mml:math></inline-formula> (0.1)</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M289" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.4</mml:mn></mml:mrow></mml:math></inline-formula> (0.3)</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M290" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.7</mml:mn></mml:mrow></mml:math></inline-formula> (0.4)</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M291" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn></mml:mrow></mml:math></inline-formula> (0.4)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">DO (<inline-formula><mml:math id="M292" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>mol kg<sup>−1</sup>)</oasis:entry>
         <oasis:entry colname="col2">84.0 (41.2)</oasis:entry>
         <oasis:entry colname="col3">82.9 (33.2)</oasis:entry>
         <oasis:entry colname="col4">197.7 (78.2)</oasis:entry>
         <oasis:entry colname="col5">177.4 (76.1)</oasis:entry>
         <oasis:entry colname="col6">236.8 (71.9)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M294" display="inline"><mml:mrow><mml:msup><mml:mi>N</mml:mi><mml:mo>*</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> (mmol m<sup>−3</sup>)</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M296" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.8</mml:mn></mml:mrow></mml:math></inline-formula> (1.4)</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M297" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2.4</mml:mn></mml:mrow></mml:math></inline-formula> (2.3)</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M298" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3.9</mml:mn></mml:mrow></mml:math></inline-formula> (2.0)</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M299" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3.7</mml:mn></mml:mrow></mml:math></inline-formula> (2.8)</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M300" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3.5</mml:mn></mml:mrow></mml:math></inline-formula> (1.3)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">NO<sub>2</sub> (mmol m<sup>−3</sup>)</oasis:entry>
         <oasis:entry colname="col2">0.0 (0.0)</oasis:entry>
         <oasis:entry colname="col3">0.1 (0.1)</oasis:entry>
         <oasis:entry colname="col4">0.2 (0.1)<sup><italic>X</italic>4</sup></oasis:entry>
         <oasis:entry colname="col5">0.2 (0.1)<sup><italic>X</italic>3</sup></oasis:entry>
         <oasis:entry colname="col6">0.1 (0.1)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M305" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mo>(</mml:mo><mml:mi mathvariant="normal">mmol</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">0.0 (0.1)<sup><italic>X</italic>2,<italic>X</italic>5</sup></oasis:entry>
         <oasis:entry colname="col3">0.1 (0.2)<sup><italic>X</italic>1,<italic>X</italic>5</sup></oasis:entry>
         <oasis:entry colname="col4">0.4 (0.8)</oasis:entry>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6">0.2 (0.4)<sup><italic>X</italic>1,<italic>X</italic>2</sup></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M309" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mo>(</mml:mo><mml:mi mathvariant="normal">mmol</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">32.4 (6.9)</oasis:entry>
         <oasis:entry colname="col3">33.4 (5.2)</oasis:entry>
         <oasis:entry colname="col4">11.2 (10.5)</oasis:entry>
         <oasis:entry colname="col5">14.5 (11.0)</oasis:entry>
         <oasis:entry colname="col6">9.5 (5.9)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">DIP <inline-formula><mml:math id="M310" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mi mathvariant="normal">mmol</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">2.4 (0.5)</oasis:entry>
         <oasis:entry colname="col3">2.4 (0.4)</oasis:entry>
         <oasis:entry colname="col4">1.5 (0.8)</oasis:entry>
         <oasis:entry colname="col5">1.4 (0.7)</oasis:entry>
         <oasis:entry colname="col6">1.0 (0.4)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">DSi <inline-formula><mml:math id="M311" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mi mathvariant="normal">mmol</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">58.2 (20.8)</oasis:entry>
         <oasis:entry colname="col3">52.4 (15.5)</oasis:entry>
         <oasis:entry colname="col4">22.4 (16.7)<sup><italic>X</italic>4</sup></oasis:entry>
         <oasis:entry colname="col5">23.6 (16.3)<sup><italic>X</italic>3</sup></oasis:entry>
         <oasis:entry colname="col6">14.2 (8.6)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">TA (<inline-formula><mml:math id="M314" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>mol kg<sup>−1</sup>)</oasis:entry>
         <oasis:entry colname="col2">2268.5 (24.0)<sup><italic>X</italic>2</sup></oasis:entry>
         <oasis:entry colname="col3">2268.7 (21.3)<sup><italic>X</italic>1</sup></oasis:entry>
         <oasis:entry colname="col4">2217.6 (33.1)</oasis:entry>
         <oasis:entry colname="col5">2190.5 (48.0)<sup><italic>X</italic>5</sup></oasis:entry>
         <oasis:entry colname="col6">2180.7 (25.8)<sup><italic>X</italic>4</sup></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">DIC (<inline-formula><mml:math id="M320" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>mol kg<sup>−1</sup>)</oasis:entry>
         <oasis:entry colname="col2">2239.7 (48.6)<sup><italic>X</italic>2</sup></oasis:entry>
         <oasis:entry colname="col3">2234.6 (45.1)<sup><italic>X</italic>1</sup></oasis:entry>
         <oasis:entry colname="col4">2102.9 (97.5)</oasis:entry>
         <oasis:entry colname="col5">2083.0 (93.4)<sup><italic>X</italic>5</sup></oasis:entry>
         <oasis:entry colname="col6">2016.2 (68.3)<sup><italic>X</italic>4</sup></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">[TA-DIC] (<inline-formula><mml:math id="M326" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>mol kg<sup>−1</sup>)</oasis:entry>
         <oasis:entry colname="col2">29.5 (26.3)<sup><italic>X</italic>2</sup></oasis:entry>
         <oasis:entry colname="col3">34.0 (28.7)<sup><italic>X</italic>1</sup></oasis:entry>
         <oasis:entry colname="col4">115.0 (71.5)</oasis:entry>
         <oasis:entry colname="col5">106.7 (48.7)<sup><italic>X</italic>5</sup></oasis:entry>
         <oasis:entry colname="col6">164.6 (47.4)<sup><italic>X</italic>4</sup></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M332" display="inline"><mml:mrow><mml:msubsup><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M333" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>mol kg<sup>−1</sup>)</oasis:entry>
         <oasis:entry colname="col2">57.3 (10.5)<sup><italic>X</italic>2</sup></oasis:entry>
         <oasis:entry colname="col3">59.0 (10.6)<sup><italic>X</italic>1</sup></oasis:entry>
         <oasis:entry colname="col4">98.8 (36.3)</oasis:entry>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6">124.9 (28.1)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M337" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Ω</mml:mi><mml:mi mathvariant="normal">ar</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">0.8 (0.2)<sup><italic>X</italic>2</sup></oasis:entry>
         <oasis:entry colname="col3">0.8 (0.2)<sup><italic>X</italic>1</sup></oasis:entry>
         <oasis:entry colname="col4">1.5 (0.6)<sup><italic>X</italic>4</sup></oasis:entry>
         <oasis:entry colname="col5">1.4 (0.4)<sup><italic>X</italic>3</sup></oasis:entry>
         <oasis:entry colname="col6">1.9 (0.5)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M342" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Ω</mml:mi><mml:mi mathvariant="normal">cal</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">1.2 (0.3)<sup><italic>X</italic>2</sup></oasis:entry>
         <oasis:entry colname="col3">1.3 (0.3)<sup><italic>X</italic>1</sup></oasis:entry>
         <oasis:entry colname="col4">2.3 (1.0)<sup><italic>X</italic>4</sup></oasis:entry>
         <oasis:entry colname="col5">2.2 (0.6)<sup><italic>X</italic>3</sup></oasis:entry>
         <oasis:entry colname="col6">3.0 (0.7)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Cd (nmol kg<sup>−1</sup>)</oasis:entry>
         <oasis:entry colname="col2">0.8 (0.2)<sup><italic>X</italic>4</sup></oasis:entry>
         <oasis:entry colname="col3">0.7 (0.2)<sup><italic>X</italic>3,<italic>X</italic>4</sup></oasis:entry>
         <oasis:entry colname="col4">0.5 (0.3)<sup><italic>X</italic>2,<italic>X</italic>5</sup></oasis:entry>
         <oasis:entry colname="col5">0.9 (0.02)<sup><italic>X</italic>1,<italic>X</italic>2</sup></oasis:entry>
         <oasis:entry colname="col6">0.2 (0.2)<sup><italic>X</italic>3</sup></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Co (nmol kg<sup>−1</sup>)</oasis:entry>
         <oasis:entry colname="col2">0.05 (0.01)</oasis:entry>
         <oasis:entry colname="col3">0.07 (0.02)<sup><italic>X</italic>3,<italic>X</italic>4</sup></oasis:entry>
         <oasis:entry colname="col4">0.07 (0.03)<sup><italic>X</italic>2,<italic>X</italic>4,<italic>X</italic>5</sup></oasis:entry>
         <oasis:entry colname="col5">0.10 (0.02)<sup><italic>X</italic>2,<italic>X</italic>3</sup></oasis:entry>
         <oasis:entry colname="col6">0.04 (0.02)<sup><italic>X</italic>3</sup></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Cu (nmol kg<sup>−1</sup>)</oasis:entry>
         <oasis:entry colname="col2">1.9 (0.4)<sup><italic>X</italic>3,<italic>X</italic>4</sup></oasis:entry>
         <oasis:entry colname="col3">1.5 (0.4)<sup><italic>X</italic>3,<italic>X</italic>4,<italic>X</italic>5</sup></oasis:entry>
         <oasis:entry colname="col4">1.4 (0.2)<sup><italic>X</italic>1,<italic>X</italic>2,<italic>X</italic>4,<italic>X</italic>5</sup></oasis:entry>
         <oasis:entry colname="col5">2.0 (0.0)<sup><italic>X</italic>1,<italic>X</italic>2,<italic>X</italic>3,<italic>X</italic>5</sup></oasis:entry>
         <oasis:entry colname="col6">1.4 (0.4)<sup><italic>X</italic>2,<italic>X</italic>3,<italic>X</italic>4</sup></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Fe (nmol kg<sup>−1</sup>)</oasis:entry>
         <oasis:entry colname="col2">0.7 (0.7)<sup><italic>X</italic>3</sup></oasis:entry>
         <oasis:entry colname="col3">1.6 (1.5)<sup><italic>X</italic>3,<italic>X</italic>4</sup></oasis:entry>
         <oasis:entry colname="col4">0.7 (0.3)<sup><italic>X</italic>1,<italic>X</italic>2,<italic>X</italic>4</sup></oasis:entry>
         <oasis:entry colname="col5">2.6 (0.6)<sup><italic>X</italic>2</sup></oasis:entry>
         <oasis:entry colname="col6">0.2 (0.4)<sup><italic>X</italic>3</sup></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Mn (nmol kg<sup>−1</sup>)</oasis:entry>
         <oasis:entry colname="col2">0.7 (0.3)<sup><italic>X</italic>3</sup></oasis:entry>
         <oasis:entry colname="col3">1.5 (0.9)<sup><italic>X</italic>3</sup></oasis:entry>
         <oasis:entry colname="col4">1.3 (0.0)<sup><italic>X</italic>1,<italic>X</italic>2,<italic>X</italic>5</sup></oasis:entry>
         <oasis:entry colname="col5">3.7 (0.6)</oasis:entry>
         <oasis:entry colname="col6">1.1 (0.6)<sup><italic>X</italic>3</sup></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Ni (nmol kg<sup>−1</sup>)</oasis:entry>
         <oasis:entry colname="col2">6.3 (2.7)<sup><italic>X</italic>2,<italic>X</italic>3,<italic>X</italic>4</sup></oasis:entry>
         <oasis:entry colname="col3">4.6 (1.2)<sup><italic>X</italic>1,<italic>X</italic>3,<italic>X</italic>4,<italic>X</italic>5</sup></oasis:entry>
         <oasis:entry colname="col4">4.5 (0.5)<sup><italic>X</italic>1,<italic>X</italic>2,<italic>X</italic>4,<italic>X</italic>5</sup></oasis:entry>
         <oasis:entry colname="col5">5.9 (0.2)<sup><italic>X</italic>1,<italic>X</italic>2,<italic>X</italic>3,<italic>X</italic>5</sup></oasis:entry>
         <oasis:entry colname="col6">4.7 (2.4)<sup><italic>X</italic>2,<italic>X</italic>3,<italic>X</italic>4</sup></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Zn (nmol kg<sup>−1</sup>)</oasis:entry>
         <oasis:entry colname="col2">8.7 (8.6)<sup><italic>X</italic>2,<italic>X</italic>3,<italic>X</italic>4</sup></oasis:entry>
         <oasis:entry colname="col3">3.9 (5.0)<sup><italic>X</italic>1,<italic>X</italic>3,<italic>X</italic>4,<italic>X</italic>5</sup></oasis:entry>
         <oasis:entry colname="col4">1.3 (0.8)<sup><italic>X</italic>1,<italic>X</italic>2,<italic>X</italic>4,<italic>X</italic>5</sup></oasis:entry>
         <oasis:entry colname="col5">4.4 (0.3)<sup><italic>X</italic>1,<italic>X</italic>2,<italic>X</italic>3,<italic>X</italic>5</sup></oasis:entry>
         <oasis:entry colname="col6">3.7 (7.8)<sup><italic>X</italic>2,<italic>X</italic>3,<italic>X</italic>4</sup></oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

</app>
  </app-group><notes notes-type="codedataavailability"><title>Code and data availability</title>

      <p id="d2e8672">Simulation setup and results files, and the collated observational dataset are archived at the Federated Research Data Repository, <ext-link xlink:href="https://doi.org/10.20383/103.01339" ext-link-type="DOI">10.20383/103.01339</ext-link> <xref ref-type="bibr" rid="bib1.bibx9" id="paren.167"/>. Analysis, and figures code are available at the following Github repository: <uri>https://github.com/rbeutel/PI_BIOGEO_PAPER</uri> <xref ref-type="bibr" rid="bib1.bibx7" id="paren.168"/>.</p>
  </notes><app-group>
        <supplementary-material position="anchor"><p id="d2e8687">The supplement related to this article is available online at <inline-supplementary-material xlink:href="https://doi.org/10.5194/bg-22-7309-2025-supplement" xlink:title="pdf">https://doi.org/10.5194/bg-22-7309-2025-supplement</inline-supplementary-material>.</p></supplementary-material>
        </app-group><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d2e8696">BB and SEA conceptualized the project, BB planned the methods, performed the analysis, wrote the manuscript draft, and completed data curation under supervision from SEA. JX provided access and insight into the LiveOcean model. JC and TA lead the inclusion of trace metals in the project. SEA, JX, JC, and TA also contributed their expertise to the manuscript in the review and editing stage.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d2e8702">The contact author has declared that none of the authors has any competing interests.</p>
  </notes><notes notes-type="disclaimer"><title>Disclaimer</title>

      <p id="d2e8709">Publisher’s note: Copernicus Publications remains neutral with regard to jurisdictional claims made in the text, published maps, institutional affiliations, or any other geographical representation in this paper. While Copernicus Publications makes every effort to include appropriate place names, the final responsibility lies with the authors. Views expressed in the text are those of the authors and do not necessarily reflect the views of the publisher.</p>
  </notes><ack><title>Acknowledgements</title><p id="d2e8716">The authors are thankful for the opportunity to conduct research on the coast of and about the Salish Sea, the traditional, ancestral, and unceded territory of the Coast Salish peoples. We recognize their enduring presence on these waters and express our gratitude for their stewardship of this territory. We would like to thank Maite Maldonado for her invaluable insights that contributed to the observational analysis in this paper. Finally, the authors would like to thank the countless DFO and NOAA scientists responsible for collecting, analyzing, and conducting quality assurance on invaluable observations of biogeochemical properties on the west coast of North America.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d2e8721">This research has been supported by the Natural Sciences and Engineering Research Council of Canada (CGS-D scholarship and Discovery grant no. RGPIN-2022-03112) and Compute Canada (grant no. RRG 2648-RAC 2019).</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d2e8727">This paper was edited by Hermann Bange and reviewed by two anonymous referees.</p>
  </notes><ref-list>
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