<?xml version="1.0" encoding="UTF-8" standalone="no"?>
<!DOCTYPE article PUBLIC "-//NLM//DTD Journal Publishing DTD v2.3 20070202//EN" "journalpublishing.dtd">
<article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" article-type="research-article" dtd-version="2.3" xml:lang="EN">
<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Mar. Sci.</journal-id>
<journal-title>Frontiers in Marine Science</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Mar. Sci.</abbrev-journal-title>
<issn pub-type="epub">2296-7745</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.3389/fmars.2023.1250322</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Marine Science</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Vertical stratification of phytoplankton biomass in a deep estuary site: implications for satellite-based net primary productivity</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Gall</surname>
<given-names>Mark</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="author-notes" rid="fn001">
<sup>*</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1630485"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Zeldis</surname>
<given-names>John</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1528372"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Safi</surname>
<given-names>Karl</given-names>
</name>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Wood</surname>
<given-names>Simon</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Pinkerton</surname>
<given-names>Matthew</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
</contrib-group>
<aff id="aff1">
<sup>1</sup>
<institution>National Institute of Water and Atmospheric Research Limited (NIWA)</institution>, <addr-line>Wellington</addr-line>, <country>New Zealand</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>NIWA</institution>, <addr-line>Christchurch</addr-line>, <country>New Zealand</country>
</aff>
<aff id="aff3">
<sup>3</sup>
<institution>NIWA</institution>, <addr-line>Hamilton</addr-line>, <country>New Zealand</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>Edited by: Alberto Basset, University of Salento, Italy</p>
</fn>
<fn fn-type="edited-by">
<p>Reviewed by: Sai Elangovan S, Centre for Marine Living Resources and Ecology (CMLRE), India</p>
<p>Margarita Fern&#xe1;ndez Tejedor, Institute of Agrifood Research and Technology (IRTA), Spain</p>
</fn>
<fn fn-type="corresp" id="fn001">
<p>*Correspondence: Mark Gall, <email xlink:href="mailto:Mark.Gall@niwa.co.nz">Mark.Gall@niwa.co.nz</email>
</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>23</day>
<month>01</month>
<year>2024</year>
</pub-date>
<pub-date pub-type="collection">
<year>2023</year>
</pub-date>
<volume>10</volume>
<elocation-id>1250322</elocation-id>
<history>
<date date-type="received">
<day>30</day>
<month>06</month>
<year>2023</year>
</date>
<date date-type="accepted">
<day>04</day>
<month>12</month>
<year>2023</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2024 Gall, Zeldis, Safi, Wood and Pinkerton</copyright-statement>
<copyright-year>2024</copyright-year>
<copyright-holder>Gall, Zeldis, Safi, Wood and Pinkerton</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/">
<p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</p>
</license>
</permissions>
<abstract>
<p>The accuracy of satellite estimates for water column net primary productivity (NPP) are contingent upon the reliability of surface phytoplankton biomass, specifically chlorophyll <italic>a</italic> (Chl.<italic>a</italic>) and carbon (C<italic>
<sub>phyt</sub>
</italic>), as indicators of euphotic biomass and photosynthetic rate. We assessed patterns in water column biomass at a deep estuary site (~40 m) in the Firth of Thames, Hauraki Gulf, New Zealand, using ten years (2005-2015) of <italic>in situ</italic> sampling (40 seasonal voyages and moored instrumentation). Seasonal biomass stratification coincided with physical and chemical stratification and exhibited a reasonable predictability based on surface Chl.<italic>a</italic> measures from mooring timeseries. High Chl.<italic>a</italic> (but not C<italic>
<sub>phyt</sub>
</italic>) accumulated from late-spring (Nov.) in the lower portion of the water column, under nutrient deficient, clear surface water with deep euphotic zone conditions, peaking in mid-summer (Jan.) and ending by early autumn (Mar.). Satellite (MODIS-Aqua) NPP (2002-2018), was estimated with and without correction for deep biomass in two vertically generalized production models (Chl.<italic>a</italic>-VGPM and C<italic>
<sub>phyt</sub>
</italic>-CbPM). Mean annual NPP (220-161 g C m<sup>-2</sup> y<sup>-1</sup>, VGPM and CbPM respectively) increased 5-18% after accounting for euphotic zone deep biomass with a mid-summer maxim (Jan.: 30-33%). Interannual anomalies in biomass and NPP (about -10% to 10%) were an order of magnitude greater than small decreasing trends (&lt;&lt; 1% y<sup>-1</sup>). We discuss the impacts of observational factors on biomass and NPP estimation. We offer contextual insights into seasonal patterns by considering previous observations of biomass trends and nutrient enrichment in the Firth of Thames region. We propose future directions in accounting for deep biomass variations from shallow coastal areas to deeper continental shelf waters.</p>
</abstract>
<kwd-group>
<kwd>New Zealand</kwd>
<kwd>MODIS-aqua</kwd>
<kwd>phenology</kwd>
<kwd>seasonal patterns</kwd>
<kwd>interannual variability</kwd>
<kwd>VGPM</kwd>
<kwd>CbPM</kwd>
</kwd-group>
<contract-num rid="cn001">C01X0501</contract-num>
<contract-sponsor id="cn001">Ministry of Business, Innovation and Employment<named-content content-type="fundref-id">10.13039/501100003524</named-content>
</contract-sponsor>
<counts>
<fig-count count="12"/>
<table-count count="2"/>
<equation-count count="7"/>
<ref-count count="107"/>
<page-count count="21"/>
<word-count count="12498"/>
</counts>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-in-acceptance</meta-name>
<meta-value>Marine Ecosystem Ecology</meta-value>
</custom-meta>
</custom-meta-wrap>
</article-meta>
</front>
<body>
<sec id="s1" sec-type="intro">
<label>1</label>
<title>Introduction</title>
<p>Satellite-based maps on chlorophyll <italic>a</italic> (Chl.<italic>a</italic>) have revolutionized our understanding of the phytoplankton biomass and primary productivity dynamics in the world&#x2019;s oceans (e.g., <xref ref-type="bibr" rid="B101">Yoder et&#xa0;al., 1993</xref>; <xref ref-type="bibr" rid="B49">Longhurst et&#xa0;al., 1995</xref>; <xref ref-type="bibr" rid="B27">Gregg et&#xa0;al., 2005</xref> and <xref ref-type="bibr" rid="B55">McClain, 2009</xref>).These data provide valuable insights into spatial and temporal variations that align with coastal and oceanic physical processes (e.g., <xref ref-type="bibr" rid="B18">Dickey et&#xa0;al., 2006</xref>). They enable synoptic characterization of natural variability, patterns and trends, as well as assessment of anthropogenic impacts such as pollution and climate change (e.g., <xref ref-type="bibr" rid="B43">Kulk et&#xa0;al., 2020</xref>). However, long-term <italic>in situ</italic> samplings, such as seasonal ship surveys and moored instrumentation, are essential to: (1) validate satellite products in optically complex coastal areas (e.g., <xref ref-type="bibr" rid="B35">IOCCG, 2018</xref>; <xref ref-type="bibr" rid="B28">Groom et&#xa0;al., 2019</xref> and <xref ref-type="bibr" rid="B33">IOCCG, 2000</xref>); (2) account for sub-surface biomass and productivity maxima (e.g., <xref ref-type="bibr" rid="B15">Cornec et&#xa0;al., 2021</xref> and <xref ref-type="bibr" rid="B107">Zhao et&#xa0;al., 2019</xref>); and (3) provide biogeophysical and chemical properties that are currently beyond the capabilities of satellite sensors (e.g., dissolved nutrients, phytoplankton species identification).</p>
<p>Satellite Chl.<italic>a</italic> data accuracy relies on its relationship to ocean color in the blue and green water leaving radiance wavebands (<xref ref-type="bibr" rid="B62">Morel and Prieur, 1977</xref>). Empirical &#x201c;band-ratio algorithms&#x201d; have proven effective for open ocean &#x201c;Case 1&#x201d; waters, where phytoplankton and its byproducts primarily contribute to color. However, these algorithms struggle in optically complex &#x201c;Case 2&#x201d; coastal waters due to variations in light attenuation components (LACs) such as phytoplankton, total suspended solids, and coloured dissolved organic matter (<xref ref-type="bibr" rid="B33">IOCCG, 2000</xref>). In such situations, more accurate approaches employ &#x201c;semi-&#x201d; or &#x201c;quasi-analytical algorithms&#x201d; (QAA) based on radiative transfer theory. QAA establishes relationships between water leaving radiance and absorption and backscattering (Inherent Optical Properties - IOPs) as a first step (e.g., <xref ref-type="bibr" rid="B34">IOCCG, 2006</xref> and <xref ref-type="bibr" rid="B67">Pinkerton et&#xa0;al., 2006</xref>). Subsequently, these IOPs are used to model LAC concentrations through biogeochemically specific-IOPs. While the Case 1/Case 2 categorization was recognized as an ideal but oversimplified distinction by <xref ref-type="bibr" rid="B62">Morel and Prieur, 1977</xref>, <xref ref-type="bibr" rid="B57">Mobley et&#xa0;al., 2004</xref> suggested a more complex approach by considering a continuum of LACs and their optical variability. However, determining constituent types (specific-IOPs) remains challenging. Ongoing research focuses on optical water type classification and blending methods to address optical complexity, particularly in coastal areas that experience episodic and transient events, such as river plumes, benthic resuspension, and phytoplankton blooms (e.g., <xref ref-type="bibr" rid="B59">Moore et&#xa0;al., 2014</xref>; <xref ref-type="bibr" rid="B56">M&#xe9;lin and Vantrepotte, 2015</xref>; <xref ref-type="bibr" rid="B46">Lehmann et&#xa0;al., 2018</xref>; <xref ref-type="bibr" rid="B6">Botha et&#xa0;al., 2020</xref>, and <xref ref-type="bibr" rid="B37">Jia et&#xa0;al., 2021</xref>).</p>
<p>In recent years, there has been significant progress in developing a data-access framework for satellite water quality products in New Zealand coastal waters (<xref ref-type="bibr" rid="B23">Gall et&#xa0;al., 2022</xref>). This framework addresses the optical complexity present in these waters, spanning from clear open ocean areas to turbid coastal regions, by incorporating a blending approach that combines Case1/Case2 products. This integration enables iterative improvements to be made as advancements in understanding and technology arise. By incorporating this data-access framework, researchers and stakeholders gain valuable insights into the optical properties of New Zealand&#x2019;s coastal waters, enhancing our understanding of this diverse and dynamic marine environment.</p>
<p>Water column temperature and salinity (density) stratification, the depth of the mixed layer, and the strength and width of the pycnocline play crucial roles in shaping the vertical distribution of phytoplankton in the water column (e.g., <xref ref-type="bibr" rid="B17">Dekshenieks et&#xa0;al., 2001</xref> and <xref ref-type="bibr" rid="B69">Prairie et&#xa0;al., 2012</xref>). Additionally, the abundance of phytoplankton is controlled by light intensity and the depth of the euphotic zone (<xref ref-type="bibr" rid="B41">Kirk, 2011</xref>), nutrient availability (<xref ref-type="bibr" rid="B72">Richardson and Bendtsen, 2019</xref>) and grazing pressure (<xref ref-type="bibr" rid="B58">Moeller et&#xa0;al., 2019</xref>). In relatively shallow coastal and deep estuary waters (generally&lt;50 m) various Chl<italic>.a</italic> water column profiles can be observed, including well mixed distributions, higher Chl<italic>.a</italic> in the upper layer (HCU) to the surface, higher Chl<italic>.a</italic> in the lower layer to the bottom (HCL), and/or the presence of a subsurface Chl<italic>.a</italic> maximum layer (SCML) (<xref ref-type="bibr" rid="B107">Zhao et&#xa0;al., 2019</xref>). In deeper stratified waters (generally &gt; 50 m), HCL is absent, except for the occurrence of deep Chl<italic>.a</italic> maxima (DCM &#x2261; SCML) often seen on the continental shelf and in the open-ocean regions (e.g., <xref ref-type="bibr" rid="B60">Morel and Berthon, 1989</xref> and <xref ref-type="bibr" rid="B90">Uitz et&#xa0;al., 2006</xref>).</p>
<p>Ocean colour is predominantly influenced by surface properties within the first optical depth (OD), which corresponds to approximately 36% the light level just below the surface. The physical depth (m) of this OD varies depending on water clarity or downwelling light attenuation (<xref ref-type="bibr" rid="B41">Kirk, 2011</xref>). The accuracy of satellite based NPP estimation relies on predictive relationships derived from surface measurements alone, given that phytoplankton and its NPP extend to the base of the euphotic zone. These relationships have generally proved robust in well mixed open-ocean studies of Chl<italic>.a</italic> biomass (e.g. <xref ref-type="bibr" rid="B60">Morel and Berthon, 1989</xref>; <xref ref-type="bibr" rid="B22">Gall et&#xa0;al., 1999</xref> and <xref ref-type="bibr" rid="B90">Uitz et&#xa0;al., 2006</xref>). The accuracy of Vertically Generalized Production Models (VGPM) for NPP estimation is also influenced by the ability to use surface Chl.<italic>a</italic> concentrations to model the water column&#x2019;s optimum Chl.<italic>a</italic>-specific phytoplankton carbon (C<italic>
<sub>phyt</sub>
</italic>) uptake rates (P<italic>
<sub>bopt</sub>
</italic>) (<xref ref-type="bibr" rid="B2">Behrenfeld and Falkowski, 1997a</xref>; <xref ref-type="bibr" rid="B22">Gall et&#xa0;al., 1999</xref> and <xref ref-type="bibr" rid="B89">Uitz et&#xa0;al., 2010</xref>). These VGPM studies recognize that this approach does not account for biomass stratification, such as the presence of deep Chl.<italic>a</italic> maxima, and the varying responses in cellular Chl.<italic>a</italic> content due to nutrient and light adaptation (changes in physiological status and C<italic>
<sub>phyt</sub>
</italic> : Chl.<italic>a</italic> ratios). However, accounting for these in depth resolved models against <italic>in situ</italic> data can only explain about 15% extra variance at best (<xref ref-type="bibr" rid="B2">Behrenfeld and Falkowski, 1997a</xref> and references therein).</p>
<p>Satellite-based carbon (C<italic>
<sub>phyt</sub>
</italic>) Productivity Models (CbPM) were proposed in an attempt to address physiological limitations in VGPM&#x2019;s by estimating phytoplankton C<italic>
<sub>phyt</sub>
</italic> from satellite backscattering coefficients (b<italic>
<sub>bp</sub>
</italic>), which, together with Chl.<italic>a</italic>, provide insights into changes in C<italic>
<sub>phyt</sub>
</italic> : Chl.<italic>a</italic> ratios (<xref ref-type="bibr" rid="B1">Behrenfeld et&#xa0;al., 2005</xref> and <xref ref-type="bibr" rid="B92">Westberry et&#xa0;al., 2008</xref>). This incorporation of physiological status - growth rates in response to light, nutrients, and temperature variations - is a step towards improving the accuracy of NPP estimates. To further enhance the accuracy of NPP estimates, it is useful to consider the seasonal predictability of stratification conditions by leveraging <italic>in situ</italic> observations and accounting for stratified (deep) biomass (Chl.<italic>a</italic>, C<italic>
<sub>phyt</sub>
</italic>) in both VGPM and CbPM models.</p>
<p>T&#x12b;kapa Moana, which encompasses the Hauraki Gulf and its Firth of Thames (or Firth), in northeastern Aotearoa New Zealand (<xref ref-type="fig" rid="f1">
<bold>Figure&#xa0;1</bold>
</xref>) is a region of significant ecological importance (<xref ref-type="bibr" rid="B50">MacDiarmid et&#xa0;al., 2013</xref>; <xref ref-type="bibr" rid="B54">McBride et&#xa0;al., 2016</xref> and <xref ref-type="bibr" rid="B40">Kelly et&#xa0;al., 2020</xref>). It is home to a diverse range of highly valued natural resources, including commercial fisheries, culturally significant resources, and recreational opportunities. Additionally, commercial aquaculture contributes to the region&#x2019;s economic and environmental significance.</p>
<fig id="f1" position="float">
<label>Figure&#xa0;1</label>
<caption>
<p>The Hauraki Gulf and Firth of Thames in northeastern Aotearoa New Zealand. The figure displays a map of New Zealand indicating the boundary of the continental shelf (200 m). The Firth of Thames is located at the southern end of the Hauraki Gulf and exhibits shallowing bathymetry towards the main river catchments, namely Waihou and Piako. The white square represents the <italic>in situ</italic> sampling site situated in the outer Firth at a water depth of approximately 35-40 m. The figure also presents the annual average climatology of surface Chl.<italic>a</italic> (mg m<sup>-3</sup>) derived from satellite data (MODIS-Aqua), offering a spatial perspective of Chl.<italic>a</italic> distribution between the inner and outer regions of the Firth.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-10-1250322-g001.tif"/>
</fig>
<p>The productivity dynamics in the Firth are primarily driven by inputs of dissolved inorganic nitrogen (DIN) from the river catchments, particularly from the Waihou and Piako rivers located at the southern end (<xref ref-type="bibr" rid="B104">Zeldis and Swaney, 2018</xref> and <xref ref-type="bibr" rid="B102">Zeldis et&#xa0;al., 2022</xref>). These riverine inputs, derived mainly from anthropogenic sources from historical agricultural development, contribute significantly to the productivity, accounting for approximately 85% of the total DIN input. In contrast, oceanic inputs from the northern Hauraki Gulf make up only a minor contribution of approximately 15% of the total DIN input.</p>
<p>Firth productivity is also influenced by seasonal and interannual variations in the vertical stratification of water column properties from freshwater inputs and temperature (<xref ref-type="bibr" rid="B11">Chang et&#xa0;al., 2003</xref>; <xref ref-type="bibr" rid="B105">Zeldis et&#xa0;al., 2004</xref>; <xref ref-type="bibr" rid="B24">Gall and Zeldis, 2011</xref> and <xref ref-type="bibr" rid="B102">Zeldis et&#xa0;al., 2022</xref>). These variations play a crucial role in shaping the composition, abundance, and stratification of phytoplankton and zooplankton communities. The Firth experiences weak stratification during winter and spring, which intensifies during summer due to surface heating. In autumn, the water column starts to overturn due to cooling and decreasing freshwater inputs. As we move seaward into the Hauraki Gulf, the nutrient loading in this area is predominantly influenced by inputs from the adjacent continental shelf (<xref ref-type="bibr" rid="B79">Sharples and Greig, 1998</xref>; <xref ref-type="bibr" rid="B105">Zeldis et&#xa0;al., 2004</xref>, and <xref ref-type="bibr" rid="B24">Gall and Zeldis, 2011</xref> and <xref ref-type="bibr" rid="B9">Bury et&#xa0;al., 2012</xref>). The variability of nutrients and productivity patterns in the Hauraki Gulf is shaped by shelf flows, including upwelling and downwelling dynamics. These flows contribute to the fluctuations in nutrient levels, playing a significant role in determining nutrient availability and influencing productivity patterns in the region.</p>
<p>Understanding the factors that drive productivity dynamics in the Firth of Thames and the adjacent Hauraki Gulf, is essential for effective management and conservation efforts in this ecologically important area. To achieve this, a dedicated effort was made over a decade-long period from 2005 to 2015 involving <italic>in situ</italic> collections (ship surveys and moored instrumentation) at the entrance to the Firth. This initiative had three main objectives: (1) validating the accuracy of satellite (MODIS-Aqua) Case1/Case2 blended products using NIWA-processing (Chl.<italic>a</italic>, C<italic>
<sub>phyt</sub>
</italic> and light attenuation); (2) explore the complexities of stratification, seasonal predictability, patterns, and trends; and (3) testing the hypothesis that incorporating deep biomass corrections would significantly enhance the accuracy of NPP estimates obtained from satellite data. Our discussion addresses uncertainties associated with NPP models and provides a current contextual understanding of biomass stratification across the broader region. We take into consideration factors such as a shallowing continental shelf and the influence of both on- and offshore drivers.</p>
</sec>
<sec id="s2" sec-type="materials|methods">
<label>2</label>
<title>Materials and methods</title>
<sec id="s2_1">
<label>2.1</label>
<title>Seagoing sampling</title>
<p>Seagoing data for the present study were collected between mid-2005 (Jul.) and mid-2015 at the outer Firth monitoring site (<xref ref-type="fig" rid="f1">
<bold>Figure&#xa0;1</bold>
</xref>) over 40 voyages (predominately on NIWA&#x2019;s RV <italic>Kaharoa</italic> but also using Western Work Boats <italic>Macy Gray</italic> and <italic>Star Keys</italic>). At approximately three-month intervals, seasonal voyages were undertaken to collect discrete biophysical data by deploying a Seabird SBE 911plus CTD (conductivity, temperature, depth) equipped with additional sensors for measuring Chl.<italic>a</italic> fluorescence (Seapoint Sensors Inc.), beam attenuation (CStar 660 nm, Wetlabs/Sea-Bird Scientific), and photosynthetically active radiation (PAR) using an LI-194 sensor (LI-COR Inc.). These measurements allowed for the profiling of water column properties. A rosette sampler with 12 x 10 L Niskin bottles fitted to the CTD captured water samples at six nominal depths (5, 10, 15, 20, 30 and 35 m) and processed according to methods detailed in <xref ref-type="bibr" rid="B102">Zeldis et&#xa0;al., 2022</xref> and outlined below.</p>
<p>During each ship survey, a sub-surface mooring (<xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary Figure&#xa0;1A</bold>
</xref>) equipped to measure water column biophysical properties was deployed, serviced, and subsequently re-deployed. Integrating Natural Fluorometers (INF-300, Biospherical Inc.) were positioned on the mooring to assess Chl<italic>.a</italic> (683 nm) and photosynthetically active radiation (PAR), within the upper surface mixed layer (~ 7 m) and deeper in the euphotic zone (~ 20 m) (see Chl.<italic>a</italic> methods below). The fluorescence and PAR sensors were kept free of biofouling using equipment that squirted saturated bromine solution on the sensor surfaces for 15 s every 3 h (<xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary Figures&#xa0;1B, C</bold>
</xref>). Physical water column stratification was assessed using conductivity-temperature-depth-oxygen (CTDO) sensors (SBE 37 SMP-ODO, Sea-Bird Scientific) on the mooring within the mixed layer (~ 9 m) and near-bottom (~ 33 m) depths. All sensors sampled at 10-15 min intervals and daily means of data were used for comparison with seasonal ship survey and satellite observations.</p>
</sec>
<sec id="s2_2">
<label>2.2</label>
<title>Satellite observations</title>
<p>Remotely sensed data obtained from NASA&#x2019;s Moderate Resolution Imaging Spectrometer (MODIS), on the Earth Observing System (EOS) Aqua satellite (MODIS-Aqua), were utilized in this study (c.f. <xref ref-type="fig" rid="f2">
<bold>Figure&#xa0;2</bold>
</xref> data-processing workflow outlined in <xref ref-type="bibr" rid="B23">Gall et&#xa0;al., 2022</xref>). To summarize, the raw data was received through direct broadcast at the NIWA Lauder satellite receiver in Otago. Calibration was performed, and ocean colour product algorithms applied to the data. Subsequently, the data were interpolated to a spatial resolution of 500 m on a transverse Mercator grid. For an extended analysis covering the period from mid-2002 to mid-2018, data were extracted from a 3 x 3, 9-pixel area centered around the study site. Medians of the nine-pixel area were calculated to optimize accuracy of the central pixel value which was within 5% in 99% of cases. This approach also effectively increased the number of observations throughout the timeseries by minimizing pixel failure caused by factors such as cloud cover, shadows, and breaking waves. As a result, there were approximately 20% more days available for observations.</p>
<fig id="f2" position="float">
<label>Figure&#xa0;2</label>
<caption>
<p>Seasonal water column stratification profiles obtained using CTD measurements: <bold>(A)</bold> Temperature (&#xb0;C); <bold>(B)</bold> Salinity (ppt); <bold>(C)</bold> Density (kg m<sup>-3</sup>); and <bold>(D)</bold> Chl.<italic>a</italic> fluorescence (mg m<sup>-3</sup>). Dotted and dashed horizontal lines illustrate the nominal depths (7 m and 20 m) of the Chl.<italic>a</italic> sensing INF instruments (see <xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary Figure&#xa0;1A</bold>
</xref>). Samples were collected during mid-winter (Jul.), mid-spring (Oct.), early summer (Dec.), and early autumn (Mar.).</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-10-1250322-g002.tif"/>
</fig>
</sec>
<sec id="s2_3">
<label>2.3</label>
<title>Physical and optical properties</title>
<p>CTD profiles were employed to assess various physical (temperature, salinity, density) and optical (PAR) properties and identify boundaries within the water column. These included: the surface mixed layer depth (<italic>z</italic>
<sub>m</sub>, m), where the density exceeded 0.125 kg m<sup>-3</sup> that of surface values (<xref ref-type="bibr" rid="B47">Levitus, 1982</xref>); the bottom mixed layer depth (<italic>z</italic>
<sub>bm</sub>, m<sub>)</sub>, where the density reduced by 0.125 kg m<sup>-3</sup> that of bottom measures; the pycnocline width (<italic>y</italic>
<sub>pw</sub>, m), the distance (m) between layer depths (<italic>z</italic>
<sub>bm</sub>&#x2013; <italic>z</italic>
<sub>m</sub>); the scalar light attenuation of PAR (<italic>K</italic>
<sub>o</sub>PAR), from the slope of the natural log transformed PAR profile; and the euphotic zone depth (<italic>z</italic>
<sub>eu</sub>), at which light is 1% of sub surface levels (<xref ref-type="bibr" rid="B41">Kirk, 2011</xref>).</p>
<p>In relatively clear waters satellite downwelling light attenuation of PAR (K<italic>
<sub>d</sub>
</italic>PAR) can be estimated from a simple empirical relationship (<xref ref-type="bibr" rid="B61">Morel et&#xa0;al., 2007</xref>) to the K<italic>
<sub>d</sub>
</italic>490 band ratio algorithm product (<xref ref-type="bibr" rid="B13">Clark, 1997</xref>). In turbid waters a modified quasi analytical algorithm (QAA - <xref ref-type="bibr" rid="B44">Lee et&#xa0;al., 2005</xref>) from backscatter and the total absorption spectral coefficient is more accurate (<xref ref-type="bibr" rid="B65">Pinkerton, 2017</xref>). &#x2018;<italic>Logistic-scaling</italic>&#x2019; of a backscatter product (b<italic>
<sub>bp</sub>
</italic>555, m<sup>-1</sup>) was used in a blended procedure to estimate K<italic>
<sub>d</sub>
</italic>PAR across Case 1 and Case 2 conditions (<xref ref-type="bibr" rid="B65">Pinkerton, 2017</xref> and <xref ref-type="bibr" rid="B23">Gall et&#xa0;al., 2022</xref>). The NIWA long term monitoring site (<xref ref-type="fig" rid="f1">
<bold>Figure&#xa0;1</bold>
</xref>) conformed to Case 1 conditions 98% of the time.</p>
</sec>
<sec id="s2_4">
<label>2.4</label>
<title>Phytoplankton biomass</title>
<sec id="s2_4_1">
<label>2.4.1</label>
<title>Chlorophyll <italic>a</italic>
</title>
<p>All water samples were filtered onto 25 mm glass fiber filters (GFF &#x2013; Whatman International Ltd.) and stored frozen (-20 &#xb0;C) prior to the analysis of Chl<italic>.a</italic> and its phaeopigments (Pha<italic>.a</italic>). Samples were also size fractionated onto a series of 47 mm polycarbonate (PC &#x2013; Pall Corporation) filters (20, 5, 2 and 0.2 &#xb5;m). Chl<italic>.a</italic> and Pha<italic>.a</italic> were extracted from the stored filters (grinding for GFF and shaking for PC) into 90% acetone, followed by soaking refrigerated (4 &#xb0;C) in the dark (4-hr and overnight respectively). Concentrations were determined by fluorescence against an analytical grade Chl<italic>.a</italic> standard (96145 Sigma-Aldrich) before and after acidification according to the original methods of <xref ref-type="bibr" rid="B32">Holm-Hansen et&#xa0;al., 1965</xref>. The fluorescence spectrophotometer (Varian Carey Eclipse 11) was configured to minimize the interference from chlorophyll <italic>b</italic> and <italic>c</italic>, and their degradation products, by using a narrow-slit width (5 nm) for the excitation (431 nm) and emission (670 nm) wavelengths (e.g., <xref ref-type="bibr" rid="B88">Trees et&#xa0;al., 1985</xref>).</p>
<p>Estimates of Chl<italic>.a</italic> from moored INF&#x2019;s followed the natural fluorescence calculations of <xref ref-type="bibr" rid="B10">Chamberlin et&#xa0;al., 1990</xref>. These are detailed further in <xref ref-type="bibr" rid="B24">Gall and Zeldis, 2011</xref>, with the following modifications: (1) K<italic>
<sub>o</sub>
</italic>PAR estimates between moored INF&#x2019;s were used instead of seasonal CTD K<italic>
<sub>o</sub>
</italic>PAR; and (2) instead of using a mean absorption coefficient for phytoplankton, the light absorption coefficients of the phytoplankton were measured at INF depths from seasonal samplings, following a modified transmission-reflection method of <xref ref-type="bibr" rid="B87">Tassan and Ferrari, 2002</xref>, as follows: Triplicate water samples (up to 1 L) were filtered onto 25 mm GFF to an even and moderately intense colour, and the filter stored at -80 &#xb0;C in flat perforated histology cases to avoid disturbing the surface sample. Samples were thawed and rewetted on microscope slides (inspected to ensure absence of bubbles) prior to measurements before and after algal pigment removal using an integration sphere attachment to a UV-VIS spectrophotometer (Shimadzu Inc.). Methanol, instead of bleach, was used to remove pigments (<xref ref-type="bibr" rid="B42">Kishino et&#xa0;al., 1985</xref>) prior to readings, as some freshwater studies have shown bleaching of &#x2018;tripton&#x2019; in the non-algal particle fraction, which overestimates algal pigment absorption by difference (e.g., <xref ref-type="bibr" rid="B5">Binding et&#xa0;al., 2008</xref>). Phytoplankton (algal particles) absorption spectra (a<italic>
<sub>ap,</sub>
</italic>m<sup>-1</sup>) was obtained by difference between the total particulate spectra (a<italic>
<sub>p,</sub>
</italic>m<sup>-1</sup>) and the methanol extracted non<italic>-</italic>algal particle spectra (a<italic>
<sub>nap,</sub>
</italic>m<sup>-1</sup>).</p>
<p>The satellite Chl.<italic>a</italic> estimation method also utilized a blending technique that combined a Case 1 MODIS-Aqua product (NASA - R2018.0) with a Case 2 QAA (<xref ref-type="bibr" rid="B44">Lee et al., 2005</xref> and <xref ref-type="bibr" rid="B45">Lee et&#xa0;al., 2007</xref>). The QAA product was employed to derive estimates of particulate backscattering at 555 nm (b<italic>
<sub>bp</sub>
</italic>555) and phytoplankton absorption at 488 nm (a<italic>
<sub>phyt</sub>
</italic>488). For the estimation of the Case 2 Chl.<italic>a</italic> product, Chl.<italic>a</italic>-specific absorption coefficients from various regions in New Zealand, including the dataset used in this study, were incorporated (<xref ref-type="bibr" rid="B65">Pinkerton, 2017</xref>). The &#x2018;<italic>logistic-scaling</italic>&#x2019; approach was employed to blend the backscatter product (b<italic>
<sub>bp</sub>
</italic>555) and estimate Chl.<italic>a</italic> under both Case 1 and Case 2 conditions (<xref ref-type="bibr" rid="B65">Pinkerton, 2017</xref>). This blending procedure allowed for an improved assessment of Chl.<italic>a</italic> concentrations using satellite data.</p>
</sec>
<sec id="s2_4_2">
<label>2.4.2</label>
<title>Phytoplankton cell carbon</title>
<p>Water samples collected from all depths were analyzed to determine the composition, abundance, and carbon content of phytoplankton species (refer to <xref ref-type="bibr" rid="B74">Safi et&#xa0;al., 2022</xref> for detailed description of this analysis). In brief, water samples of 250 ml were preserved in Lugol&#x2019;s iodine solution (final concentration of 1%) for the identification and enumeration of phytoplankton larger than 2 &#xb5;m. Triplicate samples (2 ml) for picophytoplankton (&lt;2 &#xb5;m) were frozen in liquid nitrogen for flow cytometry-based counting, following the methods described in <xref ref-type="bibr" rid="B30">Hall et&#xa0;al., 2006</xref>, to distinguish between picoeukaryotes and picoprokaryotes. Phytoplankton species were enumerated and categorized into diatoms (including large centric and pennate forms), dinoflagellates (encompassing large motile armored, thecate, and naked types), and others (primarily nano-flagellates, silico-flagellates, raphidophytes, prymnesiophytes, cryptophyceae, chrysophyceae, euglenoids, and monads). The total biomass of phytoplankton carbon (C<italic>
<sub>phyt</sub>
</italic>) was determined by summing the biomass of all the groups (calculated from measured biovolume estimates and published carbon-biovolume equations for taxa &#x2013; see <xref ref-type="bibr" rid="B74">Safi et&#xa0;al., 2022</xref>). For the analysis of size-partitioning of C<italic>
<sub>phyt</sub>
</italic> and the biomass ratio (C<italic>
<sub>phyt</sub>
</italic> : Chl.<italic>a</italic>), micro-phytoplankton (&gt;20 &#xb5;m) mainly comprised the large centric diatoms and large armored dinoflagellates, while the remaining fraction, referred to as nano-phytoplankton (2-20 &#xb5;m), included combined pennate diatoms, thecate and naked dinoflagellates, as well as small nano-flagellates and a few silico-flagellates. The contributions of the remaining groups to the total biomass were less than 0.1%.</p>
<p>The method proposed by <xref ref-type="bibr" rid="B1">Behrenfeld et&#xa0;al., 2005</xref> introduced the estimation of satellite C<italic>
<sub>phyt</sub>
</italic> based on an empirical relationship using backscatter coefficients of particulates. This relationship was further supported and updated by <xref ref-type="bibr" rid="B26">Graff et&#xa0;al., 2015</xref>, using more comprehensive studies encompassing various ecosystems:</p>
<disp-formula id="eq1">
<mml:math display="block" id="M1">
<mml:mrow>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mrow>
<mml:mi>p</mml:mi>
<mml:mi>h</mml:mi>
<mml:mi>y</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#xa0;</mml:mo>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mi>m</mml:mi>
<mml:mi>g</mml:mi>
<mml:mo>&#xa0;</mml:mo>
<mml:msup>
<mml:mi>m</mml:mi>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>3</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mo>=</mml:mo>
<mml:mo>&#xa0;</mml:mo>
<mml:mn>12128</mml:mn>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mi>b</mml:mi>
<mml:mrow>
<mml:mi>b</mml:mi>
<mml:mi>p</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mn>470</mml:mn>
<mml:mo>&#x2212;</mml:mo>
<mml:mo>&#xa0;</mml:mo>
<mml:msub>
<mml:mi>b</mml:mi>
<mml:mrow>
<mml:mi>b</mml:mi>
<mml:mi>p</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>p</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mn>470</mml:mn>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mo>+</mml:mo>
<mml:mo>&#xa0;</mml:mo>
<mml:mn>0.59</mml:mn>
<mml:mo>&#xa0;</mml:mo>
</mml:mrow>
</mml:math>
</disp-formula>
<p>As differences in b<italic>
<sub>bp</sub>
</italic> wavelengths are relatively invariant across a range of marine phytoplankton cultures (<xref ref-type="bibr" rid="B95">Whitmire et&#xa0;al., 2010</xref>) we assumed this relationship was applicable to the b<italic>
<sub>bp</sub>
</italic>555 wavelength which we used here.</p>
</sec>
</sec>
<sec id="s2_5">
<label>2.5</label>
<title>Net primary productivity</title>
<sec id="s2_5_1">
<label>2.5.1</label>
<title>VGPM</title>
<p>A vertically generalized production model (VGPM - <xref ref-type="bibr" rid="B2">Behrenfeld and Falkowski, 1997a</xref>), regionally tuned on previous studies (<xref ref-type="bibr" rid="B24">Gall and Zeldis, 2011</xref>), was used to estimate NPP from the optimum photosynthetic rate per unit Chl<italic>.a</italic> (P<italic>
<sub>bopt</sub>
</italic> &#x2013; mg C(mg Chl<italic>.a</italic>)<sup>-1</sup> h<sup>-1</sup>) in <italic>z</italic>
<sub>eu</sub>, Chl<italic>.a</italic> [Chl<italic>.a</italic>
<sub>surf</sub> x <italic>z</italic>
<sub>eu</sub> &#x2013; mg m<sup>-2</sup>], day-length (DL - hr), and the light dependency function [<italic>f</italic>E<italic>
<sub>o</sub>
</italic>= 0.66125E<italic>
<sub>o</sub>
</italic>/(E<italic>
<sub>o</sub>
</italic>+4.1)]:</p>
<disp-formula id="eq2">
<mml:math display="block" id="M2">
<mml:mrow>
<mml:mi>V</mml:mi>
<mml:mi>G</mml:mi>
<mml:mi>P</mml:mi>
<mml:mi>M</mml:mi>
<mml:mo>&#xa0;</mml:mo>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mi>m</mml:mi>
<mml:mi>g</mml:mi>
<mml:mo>&#xa0;</mml:mo>
<mml:msup>
<mml:mi>m</mml:mi>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msup>
<mml:mo>&#xa0;</mml:mo>
<mml:msup>
<mml:mi>d</mml:mi>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mo>=</mml:mo>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mrow>
<mml:mi>b</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>p</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#xa0;</mml:mo>
<mml:mrow>
<mml:mo stretchy="false">[</mml:mo>
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>h</mml:mi>
<mml:mi>l</mml:mi>
<mml:mo>.</mml:mo>
<mml:msub>
<mml:mi>a</mml:mi>
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>u</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>f</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#xa0;</mml:mo>
<mml:mi>x</mml:mi>
<mml:mo>&#xa0;</mml:mo>
<mml:msub>
<mml:mi>z</mml:mi>
<mml:mrow>
<mml:mi>e</mml:mi>
<mml:mi>u</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mo stretchy="false">]</mml:mo>
</mml:mrow>
<mml:mi>x</mml:mi>
<mml:mo>&#xa0;</mml:mo>
<mml:mi>D</mml:mi>
<mml:mi>L</mml:mi>
<mml:mo>&#xa0;</mml:mo>
<mml:mi>x</mml:mi>
<mml:mo>&#xa0;</mml:mo>
<mml:mi>f</mml:mi>
<mml:msub>
<mml:mi>E</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</disp-formula>
<p>The values of P<italic>
<sub>bopt</sub>
</italic> determined at the Firth monitoring site and the continental shelf edge (150 m depth) off northeastern New Zealand (<xref ref-type="bibr" rid="B24">Gall and Zeldis, 2011</xref>) exhibited a range of 1.5 to 6.0 mg C(mg Chl<italic>.a</italic>)<sup>-1</sup> h<sup>-1</sup>. The dataset was too small to reliably estimate temperature dependency or seasonality in the parameter over the two years of sampling (<italic>n</italic>=11, from spring 1998 to summer 1999, 2 seasons each, except for winter). A mean P<italic>
<sub>bopt</sub>
</italic> value (2.9) combined with satellite Chl<italic>.a</italic> and <italic>z</italic>
<sub>eu</sub> accounted for about 50% of the variability between VGPM and <sup>14</sup>C shipboard incubations (<xref ref-type="bibr" rid="B24">Gall and Zeldis, 2011</xref>), similar to <xref ref-type="bibr" rid="B3">Behrenfeld and Falkowski, 1997b</xref> and <xref ref-type="bibr" rid="B22">Gall et&#xa0;al., 1999</xref>. The latter study in oceanic subtropical waters, north of the Chatham Rise, east of New Zealand (<italic>n</italic> =14) also lacked temperature or seasonal dependencies, ranging from about 1.2-7.6 (mean 3.7) mg C (mg Chl<italic>.a</italic>)<sup>-1</sup> h<sup>-1</sup>.</p>
<p>To account for deep Chl.<italic>a</italic> in <italic>z</italic>
<sub>eu</sub>, we used mooring Chl.<italic>a</italic> (7 m and 20 m estimates) to calculate a correction factor (CF) for use with surface measures [Chl<italic>.a</italic>
<sub>surf</sub> x <italic>z</italic>
<sub>eu</sub>], and investigated its seasonality (month, t. CFm) with sine and cosine functions in regression analysis over a 12-month period (T) (<xref ref-type="bibr" rid="B85">Stolwijk et&#xa0;al., 1999</xref>). This provided a simple correction for VGPM that included deep biomass (db):</p>
<disp-formula id="eq3">
<mml:math display="block" id="M3">
<mml:mrow>
<mml:mi>V</mml:mi>
<mml:mi>G</mml:mi>
<mml:mi>P</mml:mi>
<mml:msub>
<mml:mi>M</mml:mi>
<mml:mrow>
<mml:mi>d</mml:mi>
<mml:mi>b</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mi>m</mml:mi>
<mml:mi>g</mml:mi>
<mml:mo>&#xa0;</mml:mo>
<mml:msup>
<mml:mi>m</mml:mi>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msup>
<mml:mo>&#xa0;</mml:mo>
<mml:msup>
<mml:mi>d</mml:mi>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mo>=</mml:mo>
<mml:mo>&#xa0;</mml:mo>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mrow>
<mml:mi>b</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>p</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#xa0;</mml:mo>
<mml:mrow>
<mml:mo stretchy="false">[</mml:mo>
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>h</mml:mi>
<mml:mi>l</mml:mi>
<mml:mo>.</mml:mo>
<mml:msub>
<mml:mi>a</mml:mi>
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>u</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>f</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#xa0;</mml:mo>
<mml:mi>x</mml:mi>
<mml:mo>&#xa0;</mml:mo>
<mml:msub>
<mml:mi>z</mml:mi>
<mml:mrow>
<mml:mi>e</mml:mi>
<mml:mi>u</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mo stretchy="false">]</mml:mo>
</mml:mrow>
<mml:mi>x</mml:mi>
<mml:mo>&#xa0;</mml:mo>
<mml:mi>C</mml:mi>
<mml:mi>F</mml:mi>
<mml:mi>m</mml:mi>
<mml:mo>&#xa0;</mml:mo>
<mml:mi>x</mml:mi>
<mml:mo>&#xa0;</mml:mo>
<mml:mi>D</mml:mi>
<mml:mi>L</mml:mi>
<mml:mo>&#xa0;</mml:mo>
<mml:mi>x</mml:mi>
<mml:mo>&#xa0;</mml:mo>
<mml:mi>f</mml:mi>
<mml:msub>
<mml:mi>E</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
<mml:mo>,</mml:mo>
</mml:mrow>
</mml:math>
</disp-formula>
<p>where <inline-formula>
<mml:math display="inline" id="im1">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>F</mml:mi>
<mml:mi>m</mml:mi>
<mml:mo>&#xa0;</mml:mo>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mi>m</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>h</mml:mi>
<mml:mo>,</mml:mo>
<mml:mo>&#xa0;</mml:mo>
<mml:mi>m</mml:mi>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mo>=</mml:mo>
<mml:mi>A</mml:mi>
<mml:mo>&#xa0;</mml:mo>
<mml:mo>+</mml:mo>
<mml:mo>&#xa0;</mml:mo>
<mml:mi>&#x3b2;</mml:mi>
<mml:mn>1</mml:mn>
<mml:mo>&#xa0;</mml:mo>
<mml:mi>x</mml:mi>
<mml:mo>&#xa0;</mml:mo>
<mml:mi>sin</mml:mi>
<mml:mfrac>
<mml:mrow>
<mml:mn>2</mml:mn>
<mml:mi>&#x3c0;</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
<mml:mi>T</mml:mi>
</mml:mfrac>
<mml:mo>+</mml:mo>
<mml:mo>&#xa0;</mml:mo>
<mml:mi>&#x3b2;</mml:mi>
<mml:mn>2</mml:mn>
<mml:mo>&#xa0;</mml:mo>
<mml:mi>x</mml:mi>
<mml:mo>&#xa0;</mml:mo>
<mml:mi>cos</mml:mi>
<mml:mfrac>
<mml:mrow>
<mml:mn>2</mml:mn>
<mml:mi>&#x3c0;</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
<mml:mi>T</mml:mi>
</mml:mfrac>
</mml:mrow>
</mml:math>
</inline-formula>, derived from a regression on <inline-formula>
<mml:math display="inline" id="im2">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>F</mml:mi>
<mml:mo>=</mml:mo>
<mml:mo>&#xa0;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>h</mml:mi>
<mml:mi>l</mml:mi>
<mml:mo>.</mml:mo>
<mml:mi>a</mml:mi>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mn>7</mml:mn>
<mml:mi>m</mml:mi>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mo>&#xa0;</mml:mo>
<mml:mi>x</mml:mi>
<mml:mo>&#xa0;</mml:mo>
<mml:mn>20</mml:mn>
<mml:mo>&#xa0;</mml:mo>
<mml:mo>+</mml:mo>
<mml:mo>&#xa0;</mml:mo>
<mml:mi>C</mml:mi>
<mml:mi>h</mml:mi>
<mml:mi>l</mml:mi>
<mml:mo>.</mml:mo>
<mml:mi>a</mml:mi>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mn>20</mml:mn>
<mml:mi>m</mml:mi>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mo>&#xa0;</mml:mo>
<mml:mi>x</mml:mi>
<mml:mo>&#xa0;</mml:mo>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mi>z</mml:mi>
<mml:mrow>
<mml:mi>e</mml:mi>
<mml:mi>u</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#xa0;</mml:mo>
<mml:mo>&#x2212;</mml:mo>
<mml:mo>&#xa0;</mml:mo>
<mml:mn>20</mml:mn>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:mrow>
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>h</mml:mi>
<mml:mi>l</mml:mi>
<mml:mo>.</mml:mo>
<mml:mi>a</mml:mi>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mn>7</mml:mn>
<mml:mi>m</mml:mi>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mo>&#xa0;</mml:mo>
<mml:mi>x</mml:mi>
<mml:mo>&#xa0;</mml:mo>
<mml:msub>
<mml:mi>z</mml:mi>
<mml:mrow>
<mml:mi>e</mml:mi>
<mml:mi>u</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfrac>
<mml:mo>.</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula>
</p>
<p>The periodic regression can have more terms (<italic>&#x3b2;</italic>3 + <italic>&#x3b2;</italic>4) to account for periodicity over shorter time periods if significant, which was not the case in our data.</p>
</sec>
<sec id="s2_5_2">
<label>2.5.2</label>
<title>CbPM</title>
<p>In order to address physiological limitations in the VGPM, such as the challenge of accurately predicting seasonality in P<italic>
<sub>bopt</sub>
</italic>, we used a carbon-based production model (CbPM) that relied on growth rate estimates, following the approach outlined by <xref ref-type="bibr" rid="B1">Behrenfeld et&#xa0;al., 2005</xref>). Using an equivalent formulation to the Chl<italic>.a</italic> VGPM, we estimated NPP based on C<italic>
<sub>phyt</sub>
</italic> (C, mg m<sup>-3</sup>) and growth rates (&#xb5;, divisions d<sup>-1</sup>), assumed homogeneity throughout the euphotic zone (<italic>z</italic>
<sub>eu</sub>, m), which employed a dependent profile of C<italic>
<sub>phyt</sub>
</italic> fixation [<italic>h</italic>(I<italic>
<sub>o</sub>
</italic>)] that varied with light irradiance (I):</p>
<disp-formula id="eq4">
<mml:math display="block" id="M4">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>b</mml:mi>
<mml:mi>P</mml:mi>
<mml:mi>M</mml:mi>
<mml:mo>&#xa0;</mml:mo>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mi>m</mml:mi>
<mml:mi>g</mml:mi>
<mml:mo>&#xa0;</mml:mo>
<mml:msup>
<mml:mi>m</mml:mi>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msup>
<mml:mo>&#xa0;</mml:mo>
<mml:msup>
<mml:mi>d</mml:mi>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mo>&#xa0;</mml:mo>
<mml:mo>=</mml:mo>
<mml:mo>&#xa0;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mrow>
<mml:mo stretchy="false">[</mml:mo>
<mml:mrow>
<mml:mo>&#xb5;</mml:mo>
<mml:mo>&#xa0;</mml:mo>
<mml:mi>x</mml:mi>
<mml:mo>&#xa0;</mml:mo>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mrow>
<mml:mi>p</mml:mi>
<mml:mi>h</mml:mi>
<mml:mi>y</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#xa0;</mml:mo>
<mml:mi>x</mml:mi>
<mml:mo>&#xa0;</mml:mo>
<mml:mi>z</mml:mi>
</mml:mrow>
<mml:mo stretchy="false">]</mml:mo>
</mml:mrow>
</mml:mrow>
<mml:mrow>
<mml:mi>e</mml:mi>
<mml:mi>u</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#xa0;</mml:mo>
<mml:mi>x</mml:mi>
<mml:mo>&#xa0;</mml:mo>
<mml:mi>h</mml:mi>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mo>,</mml:mo>
</mml:mrow>
</mml:math>
</disp-formula>
<p>where <italic>h</italic>(I<italic>
<sub>o</sub>
</italic>) = <italic>f</italic>(E<italic>
<sub>o</sub>
</italic>).</p>
<p>Growth rates are determined against maximum anticipated growth rates of 2 divisions d<sup>-1</sup>, considering light, nutrient, and temperature adaptations of the Chl.<italic>a</italic>:C<italic>
<sub>phyt</sub>
</italic> biomass ratio. The maximum Chl.<italic>a</italic>:C<italic>
<sub>phyt</sub>
</italic> ratios are derived from empirical studies conducted by <xref ref-type="bibr" rid="B1">Behrenfeld et&#xa0;al., 2005</xref> and <xref ref-type="bibr" rid="B92">Westberry et&#xa0;al., 2008</xref>:</p>
<disp-formula>
<mml:math display="block" id="M5">
<mml:mrow>
<mml:mo>&#xb5;</mml:mo>
<mml:mo>&#xa0;</mml:mo>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mi>d</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>v</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>s</mml:mi>
<mml:mo>&#xa0;</mml:mo>
<mml:msup>
<mml:mi>d</mml:mi>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mo>=</mml:mo>
<mml:mo>&#xa0;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mn>2</mml:mn>
<mml:mo>&#xa0;</mml:mo>
<mml:mi>x</mml:mi>
<mml:mo>&#xa0;</mml:mo>
<mml:mi>C</mml:mi>
<mml:mi>h</mml:mi>
<mml:mi>l</mml:mi>
<mml:mo>.</mml:mo>
<mml:mi>a</mml:mi>
<mml:mo>:</mml:mo>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mrow>
<mml:mi>p</mml:mi>
<mml:mi>h</mml:mi>
<mml:mi>y</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>h</mml:mi>
<mml:mi>l</mml:mi>
<mml:mo>.</mml:mo>
<mml:mi>a</mml:mi>
<mml:mo>:</mml:mo>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mrow>
<mml:mi>p</mml:mi>
<mml:mi>h</mml:mi>
<mml:mi>y</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mi>m</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>x</mml:mi>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:mfrac>
<mml:mi>x</mml:mi>
<mml:mo>&#xa0;</mml:mo>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>e</mml:mi>
<mml:mi>x</mml:mi>
<mml:msup>
<mml:mi>p</mml:mi>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>5</mml:mn>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mi>g</mml:mi>
</mml:msub>
</mml:mrow>
</mml:msup>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
<mml:mo>,</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
</disp-formula>
<p>where <inline-formula>
<mml:math display="inline" id="im3">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>h</mml:mi>
<mml:mi>l</mml:mi>
<mml:mo>.</mml:mo>
<mml:mi>a</mml:mi>
<mml:mo>:</mml:mo>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mrow>
<mml:mi>p</mml:mi>
<mml:mi>h</mml:mi>
<mml:mi>y</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mi>m</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>x</mml:mi>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mo>&#xa0;</mml:mo>
<mml:mo>=</mml:mo>
<mml:mo>&#xa0;</mml:mo>
<mml:mn>0.022</mml:mn>
<mml:mo>&#xa0;</mml:mo>
<mml:mo>+</mml:mo>
<mml:mo>&#xa0;</mml:mo>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mn>0.045</mml:mn>
<mml:mo>&#xa0;</mml:mo>
<mml:mo>&#x2212;</mml:mo>
<mml:mo>&#xa0;</mml:mo>
<mml:mn>0.022</mml:mn>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mo>&#xa0;</mml:mo>
<mml:mi>e</mml:mi>
<mml:mi>x</mml:mi>
<mml:msup>
<mml:mi>p</mml:mi>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>3</mml:mn>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mi>g</mml:mi>
</mml:msub>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula>, and <inline-formula>
<mml:math display="inline" id="im4">
<mml:mrow>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mi>g</mml:mi>
</mml:msub>
<mml:mo>&#xa0;</mml:mo>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mi>m</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>l</mml:mi>
<mml:mo>&#xa0;</mml:mo>
<mml:mi>p</mml:mi>
<mml:mi>h</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>s</mml:mi>
<mml:mo>&#xa0;</mml:mo>
<mml:msup>
<mml:mi>m</mml:mi>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msup>
<mml:mo>&#xa0;</mml:mo>
<mml:msup>
<mml:mi>h</mml:mi>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mo>&#xa0;</mml:mo>
<mml:mo>=</mml:mo>
<mml:mo>&#xa0;</mml:mo>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mrow>
<mml:mn>0</mml:mn>
<mml:mo>&#xa0;</mml:mo>
</mml:mrow>
</mml:msub>
<mml:mo>&#xa0;</mml:mo>
<mml:mi>e</mml:mi>
<mml:mi>x</mml:mi>
<mml:msup>
<mml:mi>p</mml:mi>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>K</mml:mi>
<mml:mi>d</mml:mi>
</mml:msub>
<mml:mn>490</mml:mn>
<mml:mo>&#xa0;</mml:mo>
<mml:mi>x</mml:mi>
<mml:mo>&#xa0;</mml:mo>
<mml:mfrac>
<mml:mi>z</mml:mi>
<mml:mn>2</mml:mn>
</mml:mfrac>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula>
</p>
<p>Downwelling light attenuation at 490 nm (K<italic>
<sub>d</sub>
</italic>490) was estimated from the turbid water K<italic>
<sub>d</sub>
</italic>PAR (&gt;0.115 m<sup>-1</sup>) relationship of <xref ref-type="bibr" rid="B77">Saulquin et&#xa0;al., 2013</xref>):</p>
<disp-formula>
<mml:math display="block" id="M6">
<mml:mrow>
<mml:msub>
<mml:mi>K</mml:mi>
<mml:mi>d</mml:mi>
</mml:msub>
<mml:mn>490</mml:mn>
<mml:mo>=</mml:mo>
<mml:mo>&#xa0;</mml:mo>
<mml:msup>
<mml:mrow>
<mml:mn>10</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:mi>l</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>g</mml:mi>
<mml:mn>10</mml:mn>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mi>K</mml:mi>
<mml:mi>d</mml:mi>
</mml:msub>
<mml:mi>P</mml:mi>
<mml:mi>A</mml:mi>
<mml:mi>R</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>0.81</mml:mn>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
<mml:mrow>
<mml:mn>0.8256</mml:mn>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:math>
</disp-formula>
<p>Further improvements have been proposed for the CbPM in accounting for vertically resolved spectral irradiance photoacclimation and nutrient stress (nitrocline depth), by <xref ref-type="bibr" rid="B92">Westberry et&#xa0;al., 2008</xref>. We simplified their approach by accounting for C<italic>
<sub>phyt</sub>
</italic> and growth rates in two layers, the upper mixed layer (<italic>z</italic>
<sub>m</sub>) and below mixed layer (<italic>z</italic>
<sub>bm</sub>) to the base of <italic>z</italic>
<sub>eu</sub>. The latter includes the biomass across the pyncoline width (<italic>y</italic>
<sub>pw</sub>):</p>
<disp-formula id="eq5">
<mml:math display="block" id="M7">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>b</mml:mi>
<mml:mi>P</mml:mi>
<mml:msub>
<mml:mi>M</mml:mi>
<mml:mrow>
<mml:mi>d</mml:mi>
<mml:mi>b</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#xa0;</mml:mo>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mi>m</mml:mi>
<mml:mi>g</mml:mi>
<mml:mo>&#xa0;</mml:mo>
<mml:msup>
<mml:mi>m</mml:mi>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msup>
<mml:mo>&#xa0;</mml:mo>
<mml:msup>
<mml:mi>d</mml:mi>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mo>&#xa0;</mml:mo>
<mml:mo>=</mml:mo>
<mml:mo>&#xa0;</mml:mo>
<mml:mrow>
<mml:mo stretchy="false">[</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mo>&#xb5;</mml:mo>
<mml:mo>&#xa0;</mml:mo>
<mml:mi>x</mml:mi>
<mml:mo>&#xa0;</mml:mo>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mrow>
<mml:mi>p</mml:mi>
<mml:mi>h</mml:mi>
<mml:mi>y</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#xa0;</mml:mo>
<mml:mi>x</mml:mi>
<mml:mo>&#xa0;</mml:mo>
<mml:mi>z</mml:mi>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:mrow>
<mml:mi>m</mml:mi>
</mml:msub>
<mml:mo>&#xa0;</mml:mo>
<mml:mo>+</mml:mo>
<mml:mo>&#xa0;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mo>&#xb5;</mml:mo>
<mml:mo>&#xa0;</mml:mo>
<mml:mi>x</mml:mi>
<mml:mo>&#xa0;</mml:mo>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mrow>
<mml:mi>p</mml:mi>
<mml:mi>h</mml:mi>
<mml:mi>y</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#xa0;</mml:mo>
<mml:mi>x</mml:mi>
<mml:mo>&#xa0;</mml:mo>
<mml:mi>z</mml:mi>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:mrow>
<mml:mrow>
<mml:mi>b</mml:mi>
<mml:mi>m</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mo stretchy="false">]</mml:mo>
</mml:mrow>
<mml:mo>&#xa0;</mml:mo>
<mml:mi>x</mml:mi>
<mml:mo>&#xa0;</mml:mo>
<mml:mi>h</mml:mi>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
</disp-formula>
<p>Seasonal vertical CTD profiles and mooring data were used in a periodic regression (<xref ref-type="bibr" rid="B85">Stolwijk et&#xa0;al., 1999</xref>) to determine seasonality of the depth of <italic>z</italic>
<sub>m</sub> (m) and pycnocline width (<italic>y</italic>
<sub>pw</sub>, m). Linear model regressions of seasonality of Chl.<italic>a</italic>:C<italic>
<sub>phyt</sub>
</italic>(<italic>z</italic>
<sub>bm</sub>) from ship surveys, with the ratio of surface (7 m) Chl.<italic>a</italic> to that at 20 m from mooring datasets [Chl.<italic>a</italic>R(7m/20m)], were used to calculate C<italic>
<sub>phyt</sub>
</italic> below <italic>z</italic>
<sub>m</sub> [C<italic>
<sub>phyt</sub>
</italic>(<italic>z</italic>
<sub>bm</sub>)] from surface satellite Chl.<italic>a</italic>, and therefore Chl.<italic>a</italic>:C<italic>
<sub>phyt</sub>
</italic>(<italic>z</italic>
<sub>bm</sub>).</p>
</sec>
</sec>
<sec id="s2_6">
<label>2.6</label>
<title>Statistical analysis and graphics</title>
<p>Statistical analysis and graphics were performed using R software (<xref ref-type="bibr" rid="B73">RStudio-Team, 2022</xref>), except for location maps (<xref ref-type="bibr" rid="B70">QGIS,&#xa0;2022</xref>). Many of functions are include in base R, including linear model regression (lm) and statistical analysis functions from the Stats package (3.6.2). Standardized Major Axis (SMA) linear regression was used to minimize total least squares (TLS - orthogonal) rather than ordinary least squares (OLS) for bivariate comparisons using the &#x2018;smatr 3&#x2019; package (<xref ref-type="bibr" rid="B91">Warton et&#xa0;al., 2012</xref>). This Model II regression method accounts for errors in both x and y variables to ensure statistically robust analysis. Figures were constructed using the grammar of graphics &#x2018;ggplot2&#x2019; package (<xref ref-type="bibr" rid="B96">Wickham, 2011</xref>), customized for publication ready plots using the &#x2018;ggpubr&#x2019; package (<xref ref-type="bibr" rid="B39">Kassambara, 2020</xref>). Missing daily data (mooring and satellite) were linearly interpolated between nearest values for seasonal statistics and analysis using the approx. function in the base R Stats package.</p>
</sec>
</sec>
<sec id="s3" sec-type="results">
<label>3</label>
<title>Results</title>
<sec id="s3_1">
<label>3.1</label>
<title>Physical and optical properties</title>
<p>Seasonal <italic>in situ</italic> collections [mainly in early autumn (Mar.), mid-winter (Jul.), mid-spring (Oct.), and early summer (Dec.)], profiled a range of water column physical properties and strengths of vertical stratification (<xref ref-type="fig" rid="f2">
<bold>Figure&#xa0;2</bold>
</xref>). Surface water column temperatures varied from mid-winter lows (about 13 &#xb0;C) to highs (about 22 &#xb0;C) in early autumn (<xref ref-type="fig" rid="f2">
<bold>Figure&#xa0;2A</bold>
</xref>). Surface salinities were generally lowest (&lt;34.5 ppt) during mid-spring and highest (&gt;35 ppt) during early autumn. The largest vertical difference in density stratification occurred in early summer (<xref ref-type="fig" rid="f2">
<bold>Figure&#xa0;2C</bold>
</xref>).</p>
<p>Consequently, surface mixed layer depth (<italic>z</italic>
<sub>m</sub>) and the pycnocline width (<italic>y</italic>
<sub>pw</sub> &#x2013; in m not depth) were strongly and significantly seasonal (<xref ref-type="fig" rid="f3">
<bold>Figures&#xa0;3A, B</bold>
</xref> and <xref ref-type="table" rid="T1">
<bold>Table&#xa0;1</bold>
</xref>). Generally, mixed layer depth (<italic>z</italic>
<sub>m</sub>) was shallow between spring and summer (&lt;10 m) and deep during mid-winter (&gt;20 m), while pycnocline width (<italic>y</italic>
<sub>pw</sub>) was large (~ 20 m) during spring-summer and small (~ 5 m) during mid-winter (<xref ref-type="fig" rid="f3">
<bold>Figure&#xa0;3C</bold>
</xref>) - although at times exceptions occurred with multi-step water column density profiles evident (<xref ref-type="fig" rid="f2">
<bold>Figure&#xa0;2C</bold>
</xref>). The depth of the euphotic zone (<italic>z</italic>
<sub>eu</sub>) and its relationship to <italic>z</italic>
<sub>m</sub> and the depth to the base of the pycnocline (<italic>z</italic>
<sub>pb</sub> = <italic>z</italic>
<sub>m</sub> + <italic>y</italic>
<sub>pw</sub>) are relevant in terms of light supply for phytoplankton growth (<xref ref-type="fig" rid="f3">
<bold>Figure&#xa0;3D</bold>
</xref>). In most cases <italic>z</italic>
<sub>eu</sub> is deeper than <italic>z</italic>
<sub>m</sub> and comparable to <italic>z</italic>
<sub>pb</sub>, but at times deeper than both - particularly from early summer to early autumn. Seasonality in <italic>z</italic>
<sub>eu</sub> was not statistically significant and could attest to high interannual variability and low sampling numbers (<italic>n</italic> = 10, years). There is an indication of seasonality, with depths being generally shallower in winter and spring months, and deeper during the summer and autumn.</p>
<fig id="f3" position="float">
<label>Figure&#xa0;3</label>
<caption>
<p>Seasonal variations in water column physical and optical layer depths from CTD profiles: <bold>(A)</bold> Mixed layer depth (<italic>z</italic>
<sub>m</sub>); <bold>(B)</bold> Pycnocline width (<italic>y</italic>
<sub>pw</sub>) in meters; <bold>(C)</bold> Base of pycnocline layer depth (<italic>z</italic>
<sub>pb =</sub> <italic>z</italic>
<sub>m</sub> + <italic>y</italic>
<sub>pw</sub>); and <bold>(D)</bold> Euphotic zone depth (<italic>z</italic>
<sub>eu</sub>). The boxplots illustrate the interquartile range (IQR - box), median line, mean point, 1.5 x IQR whisker, and extreme values (dashed lines). Seasonal categories are colour coded: Autumn (orange), Winter (blue), Spring (green), and Summer (red). Significant seasonality (black line) was observed for <italic>z</italic>
<sub>m</sub> and <italic>y</italic>
<sub>pw</sub> (Kruskall-Wallis test, <italic>p</italic>&lt;0.05, see <xref ref-type="table" rid="T1">
<bold>Table&#xa0;1</bold>
</xref> for regression models).</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-10-1250322-g003.tif"/>
</fig>
<table-wrap id="T1" position="float">
<label>Table&#xa0;1</label>
<caption>
<p>Seasonal sinusoidal regression models of physical and biological features from seasonal surveys and moored instrumentation.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" align="center">Variable</th>
<th valign="middle" align="center">Model</th>
<th valign="middle" align="center">
<italic>r</italic>
<sup>2</sup>
</th>
</tr>
</thead>
<tbody>
<tr>
<th valign="middle" colspan="3" align="left">Ship surveys (from <xref ref-type="fig" rid="f3">Figures&#xa0;3A, B
</xref>, and <xref ref-type="fig" rid="f8">Figure&#xa0;8D
</xref>)</th>
</tr>
<tr>
<td valign="top" align="left">z<sub>m</sub> (m)</td>
<td valign="top" align="center">
<inline-formula>
<mml:math display="inline" id="im5">
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>14.9</mml:mn>
<mml:mtext>&#xa0;</mml:mtext>
<mml:mo>+</mml:mo>
<mml:mtext>&#xa0;</mml:mtext>
<mml:mn>0.818</mml:mn>
<mml:mi>sin</mml:mi>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:mn>2</mml:mn>
<mml:mtext>&#x3c0;(Month)</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mn>12</mml:mn>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
<mml:mo>+</mml:mo>
<mml:mtext>&#xa0;</mml:mtext>
<mml:mn>6.62</mml:mn>
<mml:mi>cos</mml:mi>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:mn>2</mml:mn>
<mml:mtext>&#x3c0;(Month)</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mn>12</mml:mn>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td valign="middle" align="left">0.33</td>
</tr>
<tr>
<td valign="top" align="left">
<italic>y</italic>
<sub>pw</sub> (m)</td>
<td valign="top" align="center">
<inline-formula>
<mml:math display="inline" id="im6">
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>10.0</mml:mn>
<mml:mtext>&#xa0;</mml:mtext>
<mml:mo>&#x2212;</mml:mo>
<mml:mtext>&#xa0;</mml:mtext>
<mml:mn>1.210</mml:mn>
<mml:mtext>sin</mml:mtext>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:mn>2</mml:mn>
<mml:mtext>&#x3c0;</mml:mtext>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mtext>Month</mml:mtext>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:mrow>
<mml:mrow>
<mml:mn>12</mml:mn>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mtext>&#xa0;</mml:mtext>
<mml:mn>7.90</mml:mn>
<mml:mi>cos</mml:mi>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:mn>2</mml:mn>
<mml:mtext>&#x3c0;</mml:mtext>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mtext>Month</mml:mtext>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:mrow>
<mml:mrow>
<mml:mn>12</mml:mn>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td valign="middle" align="left">0.35</td>
</tr>
<tr>
<td valign="top" align="left">Chl.<italic>a</italic>:C<italic>
<sub>phyt</sub>
</italic>(<italic>z</italic>
<sub>bm</sub>)</td>
<td valign="top" align="center">
<inline-formula>
<mml:math display="inline" id="im7">
<mml:mrow>
<mml:mn>0.0336</mml:mn>
<mml:mtext>&#xa0;</mml:mtext>
<mml:mo>+</mml:mo>
<mml:mtext>&#xa0;</mml:mtext>
<mml:mn>0.00478</mml:mn>
<mml:mi>sin</mml:mi>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:mn>2</mml:mn>
<mml:mtext>&#x3c0;</mml:mtext>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mtext>Month</mml:mtext>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:mrow>
<mml:mrow>
<mml:mn>12</mml:mn>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
<mml:mo>+</mml:mo>
<mml:mtext>&#xa0;</mml:mtext>
<mml:mn>0.00110</mml:mn>
<mml:mtext>cos</mml:mtext>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:mn>2</mml:mn>
<mml:mtext>&#x3c0;</mml:mtext>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mtext>Month</mml:mtext>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:mrow>
<mml:mrow>
<mml:mn>12</mml:mn>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td valign="middle" align="left">0.35</td>
</tr>
<tr>
<th valign="top" colspan="3" align="left">Moored instrumentation (from <xref ref-type="fig" rid="f10">Figures&#xa0;10B, C
</xref>)</th>
</tr>
<tr>
<td valign="top" align="left">Chl.<italic>a</italic>R(7m/20m)</td>
<td valign="top" align="center">
<inline-formula>
<mml:math display="inline" id="im8">
<mml:mrow>
<mml:mn>1.21</mml:mn>
<mml:mtext>&#xa0;</mml:mtext>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>0.389</mml:mn>
<mml:mi>cos</mml:mi>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:mn>2</mml:mn>
<mml:mtext>&#x3c0;</mml:mtext>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mtext>Month</mml:mtext>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:mrow>
<mml:mrow>
<mml:mn>12</mml:mn>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>0.298</mml:mn>
<mml:mi>sin</mml:mi>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:mn>2</mml:mn>
<mml:mtext>&#x3c0;</mml:mtext>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mtext>Month</mml:mtext>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:mrow>
<mml:mrow>
<mml:mn>12</mml:mn>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
<mml:mo>&#x2013;</mml:mo>
<mml:mtext>&#xa0;</mml:mtext>
<mml:mn>0.157</mml:mn>
<mml:mtext>cos</mml:mtext>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:mn>2</mml:mn>
<mml:mtext>&#x3c0;</mml:mtext>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mtext>Month</mml:mtext>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:mrow>
<mml:mn>6</mml:mn>
</mml:mfrac>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>0.0717</mml:mn>
<mml:mi>sin</mml:mi>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:mn>2</mml:mn>
<mml:mtext>&#x3c0;</mml:mtext>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mtext>Month</mml:mtext>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:mrow>
<mml:mn>6</mml:mn>
</mml:mfrac>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td valign="middle" align="left">0.25</td>
</tr>
<tr>
<td valign="top" align="left">CF(Chl.<italic>a</italic>
<sub>(</sub>
<italic>
<sub>z</sub>
</italic>
<sub>eu)</sub>R)</td>
<td valign="top" align="center">
<inline-formula>
<mml:math display="inline" id="im9">
<mml:mrow>
<mml:mn>1.07</mml:mn>
<mml:mtext>&#xa0;</mml:mtext>
<mml:mo>+</mml:mo>
<mml:mn>0.181</mml:mn>
<mml:mtext>cos</mml:mtext>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:mn>2</mml:mn>
<mml:mtext>&#x3c0;</mml:mtext>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mtext>Month</mml:mtext>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:mrow>
<mml:mrow>
<mml:mn>12</mml:mn>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
<mml:mo>+</mml:mo>
<mml:mn>0.042</mml:mn>
<mml:mtext>sin</mml:mtext>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:mn>2</mml:mn>
<mml:mtext>&#x3c0;</mml:mtext>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mtext>Month</mml:mtext>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:mrow>
<mml:mrow>
<mml:mn>12</mml:mn>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
<mml:mo>+</mml:mo>
<mml:mtext>&#xa0;</mml:mtext>
<mml:mn>0.070</mml:mn>
<mml:mtext>cos</mml:mtext>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:mn>2</mml:mn>
<mml:mtext>&#x3c0;</mml:mtext>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mtext>Month</mml:mtext>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:mrow>
<mml:mrow>
<mml:mn>12</mml:mn>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
<mml:mo>+</mml:mo>
<mml:mn>0.044</mml:mn>
<mml:mi>sin</mml:mi>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:mn>2</mml:mn>
<mml:mtext>&#x3c0;</mml:mtext>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mtext>Month</mml:mtext>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:mrow>
<mml:mn>6</mml:mn>
</mml:mfrac>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td valign="middle" align="left">0.29</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>The time series of water column physical properties obtained from moored sensors and surface satellite products, collected on a quasi-daily basis (<xref ref-type="fig" rid="f4">
<bold>Figure&#xa0;4</bold>
</xref>), provides significantly higher statistical power compared to the seasonal voyage snapshots taken every three months. These continuous measurements more reliably captured the seasonal periodicity on a monthly scale, as illustrated in <xref ref-type="fig" rid="f5">
<bold>Figure&#xa0;5</bold>
</xref>. Satellite SST (<xref ref-type="fig" rid="f4">
<bold>Figure&#xa0;4A</bold>
</xref>) agreed well with mooring data (<xref ref-type="fig" rid="f6">
<bold>Figure&#xa0;6A</bold>
</xref>, <italic>r</italic>
<sup>2</sup> = 0.91), although tended to have a slightly positive (higher) bias during summers and negative (lower) bias during winters, which may reflect different sampling depths (surface (&lt;5 m) vs 7-10 m). Euphotic zone depth estimates from CTD and mooring data (<xref ref-type="fig" rid="f4">
<bold>Figure&#xa0;4C</bold>
</xref>) also agreed reasonably well (<xref ref-type="fig" rid="f6">
<bold>Figures&#xa0;6B&#x2013;D</bold>
</xref>, <italic>r</italic>
<sup>2</sup> = 0.55) although they differed at times. Satellite observations were like those from CTD profiles, with a small negative (lower) bias (<xref ref-type="fig" rid="f6">
<bold>Figure&#xa0;6C</bold>
</xref>), although regression and observation numbers are lower (<italic>r</italic>
<sup>2</sup> = 0.44, <italic>n</italic> = 17). Mooring <italic>z</italic>
<sub>eu</sub> contained a higher number of matchups with satellite data (<italic>n</italic> = 981), no bias, but lower agreement (<xref ref-type="fig" rid="f6">
<bold>Figure&#xa0;6D</bold>
</xref>, <italic>r</italic>
<sup>2</sup> = 0.26), which is not surprising considering the different depth ranges of estimates (surface optical depth&lt;5 m vs a moored sub-surface 7-20 m assessment). Complex water column stratification in physical properties and multi-stepped surface layers (<xref ref-type="fig" rid="f2">
<bold>Figure&#xa0;2</bold>
</xref>) are likely to stratify light attenuating components across the water column such that at times, CTD, mooring and satellite observations sampled different surface layers.</p>
<fig id="f4" position="float">
<label>Figure&#xa0;4</label>
<caption>
<p>Water column physical and optical properties captured by moored sensors and satellite data: <bold>(A)</bold> Temperature (Temp.); <bold>(B)</bold> Salinity (Sal.); and <bold>(C)</bold> Euphotic zone depth (<italic>z</italic>
<sub>eu</sub>). Daily timeseries display upper (~ 7 m - red) and lower (~ 33 m - blue) mooring data, overlaid with MODIS-Aqua (black) and seasonal voyage data from CTD casts (orange points).</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-10-1250322-g004.tif"/>
</fig>
<fig id="f5" position="float">
<label>Figure&#xa0;5</label>
<caption>
<p>Seasonal variations in physical and optical properties and their stratification observed from mooring data: <bold>(A)</bold> Temperature (&#xb0;C); <bold>(B)</bold> Salinity (ppt); <bold>(C)</bold> Euphotic zone depth (m); and differences (Delta) between upper (~ 7 m) lower (~ 33 m) properties for <bold>(D)</bold> Temperature; <bold>(E)</bold> Salinity; and <bold>(F)</bold> Density (kg m<sup>-3</sup>). Horizontal black lines on panels <bold>(D&#x2013;F)</bold> highlight no stratification. Seasonality was significant for all variables (Kruskall-Wallis test, <italic>p</italic>&lt;0.01). Please refer to the caption of <xref ref-type="fig" rid="f3">
<bold>Figure&#xa0;3</bold>
</xref> for boxplot details.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-10-1250322-g005.tif"/>
</fig>
<fig id="f6" position="float">
<label>Figure&#xa0;6</label>
<caption>
<p>Comparisons between CTD, mooring (MRG) and satellite physical properties: <bold>(A)</bold> Mooring vs Satellite temperature [y = 0.89x + 1.6, <italic>r</italic>
<sup>2</sup> = 0.91, <italic>n</italic> = 1200, <italic>p</italic>&lt;0.001]; <bold>(B)</bold> CTD vs Mooring <italic>z</italic>
<sub>eu</sub> [y = 1.01x + 0.87, <italic>r</italic>
<sup>2</sup> = 0.55, <italic>n</italic>=40, <italic>p&lt;</italic> 0.001]; <bold>(C)</bold> CTD vs Satellite <italic>z</italic>
<sub>eu</sub> [y = 1.1x + 1.4, <italic>r</italic>
<sup>2</sup> = 0.44, <italic>n</italic> = 18, <italic>p</italic> = 0.002); and <bold>(D)</bold> Mooring vs Satellite <italic>z</italic>
<sub>eu</sub> [y = 1.16x &#x2013; 1.21 <italic>r</italic>
<sup>2</sup> = 0.26, <italic>n</italic> = 1103, <italic>p</italic>&lt; 0.001]. The 1:1 relationship (black) generally aligns with the standardized major axis regression (red), except in <bold>(C)</bold> when number of observations and range of data are low.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-10-1250322-g006.tif"/>
</fig>
<p>All physical properties derived from mooring observations were seasonally significant in their periodicity regression models (<xref ref-type="fig" rid="f5">
<bold>Figure&#xa0;5</bold>
</xref>). Mooring surface temperature was highest in late summer and lowest in late winter (<xref ref-type="fig" rid="f5">
<bold>Figure&#xa0;5A</bold>
</xref>). Surface salinity was highest in mid-autumn and lowest in mid to late spring (<xref ref-type="fig" rid="f5">
<bold>Figure&#xa0;5B</bold>
</xref>). Water column stratification was (generally) weakest during late autumn, and strongest during late spring (<xref ref-type="fig" rid="f5">
<bold>Figure&#xa0;5F</bold>
</xref>). There were obvious extremes and exceptions in patterns (e.g., lowest surface salinity water (&lt;32 ppt) and largest salinity gradient (&gt;1.5 ppt) during late winter 2008 (<xref ref-type="fig" rid="f4">
<bold>Figure&#xa0;4B</bold>
</xref>), coinciding with a flood event on 30-July-2018 (<xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary Figure&#xa0;2B</bold>
</xref>). Other large flood events (e.g., Jan 2011 and 2012) also have low surface salinity, and both surface and deep salinities stayed generally lower during summers of these years compared with other years (<xref ref-type="fig" rid="f4">
<bold>Figure&#xa0;4B</bold>
</xref>). The lowest surface salinities observed during mid to late spring were typically delayed by approximately 1-2 months from the peak river flows that occurred in late winter (<xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary Figure&#xa0;2B</bold>
</xref>). Euphotic zone depths in mooring records ranged from at least the maximum depth of the water column (about 40 m) to as shallow as 5-10 m in satellite records (<xref ref-type="fig" rid="f4">
<bold>Figure&#xa0;4C</bold>
</xref>). Strong <italic>z</italic>
<sub>eu</sub> seasonality was evident in mooring records across the year, with clearest waters (deepest euphotic zones) in mid-summer and more turbid waters (shallower euphotic zones) in mid-autumn; however, there was also considerable variation within months among years (<xref ref-type="fig" rid="f5">
<bold>Figure&#xa0;5C</bold>
</xref>). Shallower <italic>z</italic>
<sub>eu</sub> events (5-10 m) in satellite observations (2007, 2008 and 2009) than in mooring records (<xref ref-type="fig" rid="f4">
<bold>Figure&#xa0;4C</bold>
</xref>), coincided with near-surface salinity decreases (<xref ref-type="fig" rid="f4">
<bold>Figure&#xa0;4B</bold>
</xref>).</p>
</sec>
<sec id="s3_2">
<label>3.2</label>
<title>Phytoplankton biomass</title>
<p>Seasonal CTD profiles of Chl.<italic>a</italic> (from fluorescence) spanning the period from 2005-2015, exhibited depth-dependent variations that coincide with physical stratification patterns (<xref ref-type="fig" rid="f2">
<bold>Figure&#xa0;2D</bold>
</xref>). During early summers, subsurface maxima layers (SCML) often formed at the base of the mixed layer or within the pycnocline, with high Chl<italic>.a</italic> values in the lower portion of the water column (HCL) compared to high Chl.<italic>a</italic> in the upper layer (HCU) - with an exception in 2006. Winter profiles generally had no SCML and associated with weak vertical physical stratification. Autumn and particularly spring, displayed a mix of higher Chl.a in upper and lower layers, with and without SCML at times.</p>
<p>Seasonal depth patterns are similar in the concentrations of phytoplankton biomass markers from water collections (<xref ref-type="fig" rid="f7">
<bold>Figures&#xa0;7</bold>
</xref>, <xref ref-type="fig" rid="f8">
<bold>8</bold>
</xref>). The distribution of Chl<italic>.a</italic> is like C<italic>
<sub>phyt</sub>
</italic> above <italic>z</italic>
<sub>m</sub> but not below (white line, <xref ref-type="fig" rid="f7">
<bold>Figures&#xa0;7A, C</bold>
</xref>). In general, C<italic>
<sub>phyt</sub>
</italic> : Chl<italic>.a</italic> is higher above <italic>z</italic>
<sub>m</sub> (&gt;50) than below (&lt;50) (<xref ref-type="fig" rid="f7">
<bold>Figure&#xa0;7D</bold>
</xref>). High proportions of phaeopigment (Pha.<italic>a</italic>) highlight periods of senescence and decay (<xref ref-type="fig" rid="f7">
<bold>Figure&#xa0;7B</bold>
</xref>), which tended to occur in low Chl<italic>.a</italic> periods (i.e., generally opposite patterns to that of Chl<italic>.a</italic> - <xref ref-type="fig" rid="f7">
<bold>Figure&#xa0;7A</bold>
</xref>). Further details on the size-partitioned of phytoplankton biomass are provided in <xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary Figures&#xa0;3&#x2013;5</bold>
</xref>.</p>
<fig id="f7" position="float">
<label>Figure&#xa0;7</label>
<caption>
<p>Seasonal variations in phytoplankton biomass markers in the water column during surveys: <bold>(A)</bold> Chlorophyll <italic>a</italic> (Chl<italic>.a</italic>); <bold>(B)</bold> Phaeopigment <italic>a</italic> Proportion [Pha.<italic>a</italic>:(Pha<italic>.a</italic> + Chl<italic>.a</italic>)]; <bold>(C)</bold> Carbon (C<italic>
<sub>phyt</sub>
</italic>); and <bold>(D)</bold> C<italic>
<sub>phyt</sub>
</italic> : Chl<italic>.a</italic> ratio. White lines represent mixed layer depth, salmon lines indicate the base of the pycnocline, and black lines represent the base of the euphotic zone. Upside-down triangles denote the seasonal timing of surveys (Winter &#x2013; blue, Spring &#x2013; green, Summer &#x2013; red, and Autumn &#x2013; orange). The winter of 2011 was unusual, with bottom Chl<italic>.a</italic> below <italic>z</italic>
<sub>eu</sub> and lower <italic>z</italic>
<sub>eu</sub> due to high surface Chl<italic>.a</italic>.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-10-1250322-g007.tif"/>
</fig>
<fig id="f8" position="float">
<label>Figure&#xa0;8</label>
<caption>
<p>Seasonal variations in phytoplankton biomass above and below the mixed layer depth (<italic>z</italic>
<sub>m</sub>): <bold>(A)</bold> Chlorophyll <italic>a</italic> (Chl<italic>.a -</italic> mg m<sup>-3</sup>); <bold>(B)</bold> Phaeopigment <italic>a</italic> Proportion [Pha.<italic>a</italic>:(Pha<italic>.a</italic> + Chl<italic>.a</italic>)]; <bold>(C)</bold> Carbon (C<italic>
<sub>phyt</sub>
</italic> - mg m<sup>-3</sup>); and <bold>(D)</bold> C<italic>
<sub>phyt</sub>
</italic> : Chl<italic>.a</italic> (ratio). Bright boxes, circles and solid lines represent values above <italic>z</italic>
<sub>m</sub>, while light boxes, squares and dotted lines represent below <italic>z</italic>
<sub>m</sub>. Seasonality was statistically significant (p&lt;0.05 Kruskall-Wallis test) for Chl<italic>.a</italic> both above and below <italic>z</italic>
<sub>m</sub>, Pha<italic>.a</italic> P below <italic>z</italic>
<sub>m</sub> and C<italic>
<sub>phyt</sub>
</italic> : Chl<italic>.a</italic> below <italic>z</italic>
<sub>m</sub>. The seasonal variability Chl<italic>.a</italic>:C<italic>
<sub>phyt</sub>
</italic> below <italic>z</italic>
<sub>m</sub> was utilized in the CbPM<sub>db</sub> (deep biomass) modelling (see <xref ref-type="table" rid="T1">
<bold>Table&#xa0;1</bold>
</xref> for details). For additional information, refer to the caption of <xref ref-type="fig" rid="f3">
<bold>Figure&#xa0;3</bold>
</xref>.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-10-1250322-g008.tif"/>
</fig>
<p>Applying averaging to water column sections above and below the depth of the mixed layer (<italic>z</italic>
<sub>m</sub>) provided a clearer depiction of seasonal patterns (<xref ref-type="fig" rid="f8">
<bold>Figure&#xa0;8</bold>
</xref>). In early summer, above <italic>z</italic>
<sub>m</sub>, low Chl<italic>.a</italic> (<xref ref-type="fig" rid="f8">
<bold>Figure&#xa0;8A</bold>
</xref>, ~0.6 mg m<sup>-3</sup>) occurred with high C<italic>
<sub>phyt</sub>
</italic> (<xref ref-type="fig" rid="f8">
<bold>Figure&#xa0;8C</bold>
</xref>), resulting in the highest C<italic>
<sub>phyt</sub>
</italic> : Chl<italic>.a</italic> ratios (<xref ref-type="fig" rid="f8">
<bold>Figure&#xa0;8D</bold>
</xref>, ~60). While the seasonality of the total biomass C<italic>
<sub>phyt</sub>
</italic> : Chl.<italic>a</italic> ratio in surface waters was not significant (likely due to high interannual variability, and/or opposing size group effects), it was observed for pico-phytoplankton, with the highest ratios occurring in spring and summer (<xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary Figure&#xa0;5H</bold>
</xref>). C<italic>
<sub>phyt</sub>
</italic> was higher above <italic>z</italic>
<sub>m</sub> than below, especially from mid-winter to mid-spring (<xref ref-type="fig" rid="f8">
<bold>Figure&#xa0;8C</bold>
</xref>). Lowest concentrations of C<italic>
<sub>phyt</sub>
</italic> occur below <italic>z</italic>
<sub>m</sub> in mid-winters (~40 mg m<sup>-3</sup>), and above <italic>z</italic>
<sub>m</sub> in early summers (~60 mg m<sup>-3</sup>). Chl<italic>.a</italic> and C<italic>
<sub>phyt</sub>
</italic> seasonality patterns are similar below <italic>z</italic>
<sub>m</sub>. Seasonality was only significant for Chl<italic>.a</italic> above <italic>z</italic>
<sub>m</sub>, and Chl<italic>.a</italic>, Pha<italic>.a</italic> and C<italic>
<sub>phyt</sub>
</italic> : Chl<italic>.a</italic> below <italic>z</italic>
<sub>m</sub>. The significant seasonal regression of the inverse ratio (Chl.<italic>a</italic>:C<italic>
<sub>phyt</sub>
</italic>), as presented in <xref ref-type="table" rid="T1">
<bold>Table&#xa0;1</bold>
</xref>, was utilized in the deep biomass CbPM<sub>db</sub>-NPP modeling.</p>
<p>Phytoplankton biomass (Chl<italic>.a</italic> and C<italic>
<sub>phyt</sub>
</italic>) from mooring (7 and 20 m) and satellite surface (&lt;5 m) data, ranged from about 0.3-7.5 mg Chl.<italic>a</italic> m<sup>-3</sup> and 50-500 mg C<italic>
<sub>phyt</sub>
</italic> m<sup>-3</sup> (<xref ref-type="fig" rid="f9">
<bold>Figure&#xa0;9</bold>
</xref>). Although satellite Chl<italic>.a</italic> was generally lower than mooring Chl.<italic>a</italic> (<xref ref-type="fig" rid="f9">
<bold>Figure&#xa0;9A</bold>
</xref>), seasonal patterns were similar, with high median concentrations during winter months and low concentrations during summer months (<xref ref-type="fig" rid="f10">
<bold>Figures&#xa0;10A, D</bold>
</xref>). Mooring Chl.<italic>a</italic> seasonality show a tendency for mid-autumn and late winter to early spring peaks, from a depression in early winter (<xref ref-type="fig" rid="f10">
<bold>Figure&#xa0;10A</bold>
</xref>), not seen in the more pronounced satellite seasonal cycle (<xref ref-type="fig" rid="f10">
<bold>Figure&#xa0;10D</bold>
</xref>). The ratio between upper (7 m) and lower (20 m) mooring Chl.<italic>a</italic> captured biomass-stratification seasonality, with high upper column Chl.<italic>a</italic> from autumn to spring (peaking in winter), to high lower column Chl.<italic>a</italic> from spring through summer (peaking in mid-summer) (<xref ref-type="fig" rid="f10">
<bold>Figure&#xa0;10B</bold>
</xref>; <xref ref-type="table" rid="T1">
<bold>Table&#xa0;1</bold>
</xref>). Estimates of euphotic zone Chl.<italic>a</italic> from mooring surface Chl.<italic>a</italic>, and surface and deep Chl.<italic>a</italic>, were used to estimate a correction factor to apply to satellite surface Chl.<italic>a</italic> (<xref ref-type="fig" rid="f10">
<bold>Figure&#xa0;10C</bold>
</xref>; <xref ref-type="table" rid="T1">
<bold>Table&#xa0;1</bold>
</xref>), to account for deep Chl.a in models. </p>
<fig id="f9" position="float">
<label>Figure&#xa0;9</label>
<caption>
<p>Daily timeseries of phytoplankton biomass from mooring and satellite observations: <bold>(A)</bold> Chlorophyll <italic>a</italic> (Chl.<italic>a</italic>) from satellite and upper water column mooring; <bold>(B)</bold> Chl.<italic>a</italic> from both upper and lower mooring depths; and <bold>(C)</bold> Carbon biomass (C<italic>
<sub>phyt</sub>
</italic>) from satellite data. Seasonal collections from CTD depths are indicated as points.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-10-1250322-g009.tif"/>
</fig>
<fig id="f10" position="float">
<label>Figure&#xa0;10</label>
<caption>
<p>Seasonal variations in phytoplankton biomass observed from mooring (M) and satellite (S) data: <bold>(A)</bold> Mooring chlorophyll <italic>a</italic> (M-Chl.<italic>a</italic> - mg m<sup>-3</sup>) at 7 m depth; <bold>(B)</bold> Ratio of mooring Chl.<italic>a</italic> between 7 and 20 m depths; <bold>(C)</bold> Euphotic zone correction factor for mooring Chl.<italic>a</italic> measurements to account for deep (&gt;20 m) biomass within zeu (<xref ref-type="table" rid="T2">
<bold>Table&#xa0;2</bold>
</xref>); <bold>(D)</bold> Satellite surface (&lt; 5m) Chl.<italic>a</italic> (S-Chl.a - mg m-3); <bold>(E)</bold> Satellite carbon biomass (S-C<italic>
<sub>phyt</sub>
</italic>&#x2013; mg m<sup>-3</sup>); and <bold>(F)</bold> Satellite C<italic>
<sub>phyt</sub>
</italic> : Chl.<italic>a</italic> ratio. Seasonality was found to be significant (p&lt;0.05 Kruskall-Wallis test) for all mooring and satellite measures. Note: The black horizontal line <bold>(B, C)</bold> represents a value of 1, indicating non-biomass stratified (well-mixed) conditions, where Chl.<italic>a</italic> (7m) is approximately equal to Chl.<italic>a</italic> (20 m).</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-10-1250322-g010.tif"/>
</fig>
<p>Phytoplankton carbon (C<italic>
<sub>phyt</sub>
</italic>) from satellite estimates (<xref ref-type="fig" rid="f9">
<bold>Figure&#xa0;9C</bold>
</xref>) had similar average magnitude as near-surface C<italic>
<sub>phyt</sub>
</italic> from seasonal surveys (<xref ref-type="fig" rid="f8">
<bold>Figure&#xa0;8C</bold>
</xref>) with finer temporal resolution. Satellite estimates had significant periodicity, peaking in mid-late winter, and low during summer (<xref ref-type="fig" rid="f10">
<bold>Figure&#xa0;10E</bold>
</xref>). Surface biomass C<italic>
<sub>phyt</sub>
</italic>&#xa0;: Chl<italic>.a</italic> ratios (<xref ref-type="fig" rid="f10">
<bold>Figure&#xa0;10F</bold>
</xref>) are similar in range and seasonality to those from seasonal surveys (<xref ref-type="fig" rid="f8">
<bold>Figure&#xa0;8D</bold>
</xref>), with significant (but low) seasonal periodicity. Biomass C<italic>
<sub>phyt</sub>
</italic> : Chl<italic>.a</italic> ratio medians were generally low in early winter and high from spring through summer, although there was a large range of observations within months across the timeseries. Chl<italic>.a</italic> from mooring instruments agreed reasonably well with seasonal collections, with a small positive bias in near surface estimates (<xref ref-type="fig" rid="f11">
<bold>Figure&#xa0;11A</bold>
</xref>, <italic>r</italic>
<sup>2</sup> = 0.27). Less bias occurred in deeper (20 m) estimates (<xref ref-type="fig" rid="f11">
<bold>Figure&#xa0;11B</bold>
</xref>, <italic>r</italic>
<sup>2</sup> = 0.27). Chl.a from collections and from satellite (both from&lt;5 m depth) had reasonable correlation (<italic>r<sup>2</sup>
</italic> = 0.61) despite them having a limited number of satellite matchup days (<xref ref-type="fig" rid="f11">
<bold>Figure&#xa0;11C</bold>
</xref>, <italic>n</italic>=26). Satellite and mooring Chl.<italic>a</italic> were significantly correlated but have low confidence (<italic>r</italic>
<sup>2</sup> = 0.18), with a small positive bias (<xref ref-type="fig" rid="f11">
<bold>Figure&#xa0;11D</bold>
</xref>). Correlations of C<italic>
<sub>phyt</sub>
</italic> from seasonal collections with satellite estimates were weak (<italic>r<sup>2</sup>
</italic>= 0.01, <italic>p=</italic>0.25), potentially due to the low number of observations (<xref ref-type="fig" rid="f11">
<bold>Figure&#xa0;11E</bold>
</xref>, <italic>n</italic> = 16). For spring, summer, and winter there were suggestions of positive relationships, but not for autumn.</p>
<fig id="f11" position="float">
<label>Figure&#xa0;11</label>
<caption>
<p>Comparisons of phytoplankton biomass between CTD rosette 3-month seasonal samplings, mooring (MRG) and satellite (SAT) estimates: <bold>(A)</bold> Chl.<italic>a</italic> CTD vs mooring upper (7 m) water column [y = 1.15x &#x2013; 0.19, <italic>r</italic>
<sup>2</sup> = 0.27, <italic>p</italic>&lt;0.001, <italic>n</italic> = 67]; <bold>(B)</bold> Chl.<italic>a</italic> CTD vs mooring lower (20 m) water column [y = 0.92x &#x2013; 0.06, <italic>r</italic>
<sup>2</sup> = 0.27, <italic>p</italic>&lt;0.001, <italic>n</italic> = 66]; <bold>(C)</bold> Chl.<italic>a</italic> CTD vs satellite [y = 1.3x &#x2013; 0.13, <italic>r</italic>
<sup>2</sup> = 0.61, <italic>p</italic>&lt;0.001, <italic>n</italic> = 26]; <bold>(D)</bold> Chl.<italic>a</italic> Mooring (7 m) vs satellite [y = 1.01x + 0.16, <italic>r</italic>
<sup>2</sup> = 0.18, <italic>p</italic>&lt;0.001, <italic>n</italic> = 1116]; and <bold>(E)</bold> C<italic>
<sub>phyt</sub>
</italic> CTD vs satellite [y = 0.78x + 0.23, <italic>r</italic>
<sup>2</sup> = 0.01, <italic>p</italic> = 0.25, <italic>n</italic> = 15]. The scales are log<sub>10</sub> transformed.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-10-1250322-g011.tif"/>
</fig>
</sec>
<sec id="s3_3">
<label>3.3</label>
<title>Net primary productivity</title>
<p>The Chl<italic>.a</italic>- based vertically generalized production model (VGPM) and the C<italic>
<sub>phyt</sub>
</italic> based model (CbPM) supply two insights into assessing NPP from satellite surface data at the site (<xref ref-type="fig" rid="f12">
<bold>Figures&#xa0;12A, B</bold>
</xref>). Total annual NPP (integrated between yearly mid-winters (July) to span the production growth cycle) averaged between 220 g C m<sup>-2</sup> y<sup>-1</sup> and 161 g C m<sup>-2</sup> y<sup>-1</sup> for VGPM and CbPM respectively (<xref ref-type="table" rid="T2">
<bold>Table&#xa0;2</bold>
</xref>). Both models captured interannual variability of between about -10% to 10% of their overall annual climatological mean (<xref ref-type="table" rid="T2">
<bold>Table&#xa0;2</bold>
</xref>) and showed strong seasonality (<xref ref-type="fig" rid="f12">
<bold>Figures&#xa0;12C&#x2013;F</bold>
</xref>). The VGPM annual mean results were about 36% higher than the CbPM, with less seasonality, mainly from much higher production rates in winter months and only slightly higher production rates during summer months. Both models assumed a degree of predictability between surface measure and areal <italic>z</italic>
<sub>eu</sub> estimates, which is clearly not the case at times at this site (<xref ref-type="fig" rid="f7">
<bold>Figure&#xa0;7</bold>
</xref>; <xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary Figures&#xa0;7</bold>
</xref>, <xref ref-type="supplementary-material" rid="SM1">
<bold>8</bold>
</xref>).</p>
<fig id="f12" position="float">
<label>Figure&#xa0;12</label>
<caption>
<p>Comparison of Net Primary Productivity (NPP) models: <bold>(A)</bold> VGPM and VGPM<sub>db</sub> (deep biomass corrected); <bold>(B)</bold> CbPM and CbPM<sub>db</sub>; and <bold>(C&#x2013;F)</bold> Seasonality. Seasonality was significant (<italic>p</italic>&lt;0.05 Kruskall-Wallis test) for all measures.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-10-1250322-g012.tif"/>
</fig>
<table-wrap id="T2" position="float">
<label>Table&#xa0;2</label>
<caption>
<p>Comparison of annual Net Primary Productivity (NPP) from satellite data.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="top" align="center">Year (2000)</th>
<th valign="top" align="center">3</th>
<th valign="top" align="center">4</th>
<th valign="top" align="center">5</th>
<th valign="top" align="center">6</th>
<th valign="top" align="center">7</th>
<th valign="top" align="center">8</th>
<th valign="top" align="center">9</th>
<th valign="top" align="center">10</th>
<th valign="top" align="center">11</th>
<th valign="top" align="center">12</th>
<th valign="top" align="center">13</th>
<th valign="top" align="center">14</th>
<th valign="top" align="center">15</th>
<th valign="top" align="center">16</th>
<th valign="top" align="center">17</th>
<th valign="top" align="center">18</th>
<th valign="top" align="center">Mean</th>
</tr>
</thead>
<tbody>
<tr>
<th valign="bottom" colspan="18" align="left">Areal NPP estimated from surface measures only</th>
</tr>
<tr>
<td valign="bottom" align="left">VGPM</td>
<td valign="bottom" align="center" style="background-color:#fcf0f3">219</td>
<td valign="bottom" align="center" style="background-color:#e8eef8">214</td>
<td valign="bottom" align="center" style="background-color:#f98b8d">240</td>
<td valign="bottom" align="center" style="background-color:#fcf6f9">218</td>
<td valign="bottom" align="center" style="background-color:#fbb3b6">232</td>
<td valign="bottom" align="center" style="background-color:#5a8ac6">198</td>
<td valign="bottom" align="center" style="background-color:#e0e8f5">213</td>
<td valign="bottom" align="center" style="background-color:#fbc1c4">229</td>
<td valign="bottom" align="center" style="background-color:#f98486">242</td>
<td valign="bottom" align="center" style="background-color:#a6bfe0">207</td>
<td valign="bottom" align="center" style="background-color:#98b5db">205</td>
<td valign="bottom" align="center" style="background-color:#9cb8dd">205</td>
<td valign="bottom" align="center" style="background-color:#a4bee0">206</td>
<td valign="bottom" align="center" style="background-color:#f1f4fb">215</td>
<td valign="bottom" align="center" style="background-color:#f8696b">247</td>
<td valign="bottom" align="center" style="background-color:#fbd5d8">225</td>
<td valign="bottom" align="right">220</td>
</tr>
<tr>
<td valign="bottom" align="left">CbPM</td>
<td valign="bottom" align="center" style="background-color:#fcdee1">163</td>
<td valign="bottom" align="center" style="background-color:#fcfcff">154</td>
<td valign="bottom" align="center" style="background-color:#faa3a6">180</td>
<td valign="bottom" align="center" style="background-color:#f5f7fc">148</td>
<td valign="bottom" align="center" style="background-color:#faa1a3">181</td>
<td valign="bottom" align="center" style="background-color:#e7edf7">135</td>
<td valign="bottom" align="center" style="background-color:#fce7ea">160</td>
<td valign="bottom" align="center" style="background-color:#faa0a3">181</td>
<td valign="bottom" align="center" style="background-color:#fbcacd">169</td>
<td valign="bottom" align="center" style="background-color:#f2f5fb">145</td>
<td valign="bottom" align="center" style="background-color:#fbfbfe">154</td>
<td valign="bottom" align="center" style="background-color:#f9fafe">152</td>
<td valign="bottom" align="center" style="background-color:#eef2fa">141</td>
<td valign="bottom" align="center" style="background-color:#f8f9fd">151</td>
<td valign="bottom" align="center" style="background-color:#f8696b">196</td>
<td valign="bottom" align="center" style="background-color:#fbb8bb">174</td>
<td valign="bottom" align="right">161</td>
</tr>
<tr>
<th valign="bottom" colspan="18" align="left">Areal NPP corrected for deep biomass</th>
</tr>
<tr>
<td valign="bottom" align="left">VGPM<sub>db</sub>
</td>
<td valign="bottom" align="center" style="background-color:#fbc6c8">230</td>
<td valign="bottom" align="center" style="background-color:#fbd5d8">225</td>
<td valign="bottom" align="center" style="background-color:#f97b7d">254</td>
<td valign="bottom" align="center" style="background-color:#fbcbce">228</td>
<td valign="bottom" align="center" style="background-color:#fa9497">246</td>
<td valign="bottom" align="center" style="background-color:#e8eef8">207</td>
<td valign="bottom" align="center" style="background-color:#fcdde0">223</td>
<td valign="bottom" align="center" style="background-color:#fa9ea0">243</td>
<td valign="bottom" align="center" style="background-color:#f97c7e">253</td>
<td valign="bottom" align="center" style="background-color:#fcf3f6">216</td>
<td valign="bottom" align="center" style="background-color:#fcf6f9">215</td>
<td valign="bottom" align="center" style="background-color:#fcf3f6">216</td>
<td valign="bottom" align="center" style="background-color:#fcf2f5">216</td>
<td valign="bottom" align="center" style="background-color:#fbd6d9">225</td>
<td valign="bottom" align="center" style="background-color:#f8696b">259</td>
<td valign="bottom" align="center" style="background-color:#fab2b4">236</td>
<td valign="bottom" align="right">231</td>
</tr>
<tr>
<td valign="bottom" align="left">CbPM<sub>db</sub>
</td>
<td valign="bottom" align="center" style="background-color:#fceef1">191</td>
<td valign="bottom" align="center" style="background-color:#d3dff0">183</td>
<td valign="bottom" align="center" style="background-color:#faa5a7">204</td>
<td valign="bottom" align="center" style="background-color:#9ab7dc">175</td>
<td valign="bottom" align="center" style="background-color:#fa9597">207</td>
<td valign="bottom" align="center" style="background-color:#5a8ac6">166</td>
<td valign="bottom" align="center" style="background-color:#fcf0f3">191</td>
<td valign="bottom" align="center" style="background-color:#f98385">211</td>
<td valign="bottom" align="center" style="background-color:#f9888a">210</td>
<td valign="bottom" align="center" style="background-color:#8aacd7">172</td>
<td valign="bottom" align="center" style="background-color:#ebf0f9">186</td>
<td valign="bottom" align="center" style="background-color:#cfdcef">182</td>
<td valign="bottom" align="center" style="background-color:#8daed8">173</td>
<td valign="bottom" align="center" style="background-color:#dce5f3">184</td>
<td valign="bottom" align="center" style="background-color:#f8696b">215</td>
<td valign="bottom" align="center" style="background-color:#fa9fa1">206</td>
<td valign="bottom" align="right">191</td>
</tr>
<tr>
<th valign="bottom" colspan="18" align="left">Anomaly (A) relativized (%) to climatology (mean)</th>
</tr>
<tr>
<td valign="bottom" align="left">VGPM<sub>db</sub> A</td>
<td valign="bottom" align="center" style="background-color:#fceef1">0</td>
<td valign="bottom" align="center" style="background-color:#f2f5fb">-2</td>
<td valign="bottom" align="center" style="background-color:#f98789">10</td>
<td valign="bottom" align="center" style="background-color:#fcf5f8">-1</td>
<td valign="bottom" align="center" style="background-color:#faaaad">6</td>
<td valign="bottom" align="center" style="background-color:#85a8d5">-10</td>
<td valign="bottom" align="center" style="background-color:#e3eaf6">-3</td>
<td valign="bottom" align="center" style="background-color:#fbb7ba">5</td>
<td valign="bottom" align="center" style="background-color:#f9888a">10</td>
<td valign="bottom" align="center" style="background-color:#b8cce7">-7</td>
<td valign="bottom" align="center" style="background-color:#b4c9e5">-7</td>
<td valign="bottom" align="center" style="background-color:#b9cde7">-6</td>
<td valign="bottom" align="center" style="background-color:#bccfe8">-6</td>
<td valign="bottom" align="center" style="background-color:#f1f4fb">-2</td>
<td valign="bottom" align="center" style="background-color:#f96f71">12</td>
<td valign="bottom" align="center" style="background-color:#fbd3d6">2</td>
<td valign="bottom" align="right">0</td>
</tr>
<tr>
<td valign="bottom" align="left">CbPM<sub>db</sub> A</td>
<td valign="bottom" align="center" style="background-color:#fcebee">0</td>
<td valign="bottom" align="center" style="background-color:#d7e2f2">-4</td>
<td valign="bottom" align="center" style="background-color:#faa4a6">7</td>
<td valign="bottom" align="center" style="background-color:#9cb8dd">-9</td>
<td valign="bottom" align="center" style="background-color:#fa9496">9</td>
<td valign="bottom" align="center" style="background-color:#5a8ac6">-13</td>
<td valign="bottom" align="center" style="background-color:#fcedf0">0</td>
<td valign="bottom" align="center" style="background-color:#f98284">10</td>
<td valign="bottom" align="center" style="background-color:#f98789">10</td>
<td valign="bottom" align="center" style="background-color:#8badd7">-10</td>
<td valign="bottom" align="center" style="background-color:#eff3fa">-3</td>
<td valign="bottom" align="center" style="background-color:#d3dff0">-5</td>
<td valign="bottom" align="center" style="background-color:#8eafd8">-9</td>
<td valign="bottom" align="center" style="background-color:#e0e8f5">-4</td>
<td valign="bottom" align="center" style="background-color:#f8696b">13</td>
<td valign="bottom" align="center" style="background-color:#fa9ea0">8</td>
<td valign="bottom" align="right">0</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>The NPP estimates for a well-mixed euphotic zone (VGPM and CbPM) are contrasted with models that incorporate deep biomass (VGPM<sub>db</sub> and CbPM<sub>db</sub>). The annual estimates are aggregated from mid-winter (Jul.) to early autumn (Jun.), following the seasonal cycle of increasing Photosynthetically Active Radiation (PAR) and NPP. The years are color-coded based on their deviation from the overall climatological mean, with red indicating higher values, white representing similar values, and blue indicating lower values. The deep biomass models are presented as relative percentages compared to the mean, emphasizing interannual variations.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>To account for deep biomass not detected in surface measures (and lack of predictability in areal euphotic zone estimates (<xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary Figures&#xa0;7</bold>
</xref>, <xref ref-type="supplementary-material" rid="SM1">
<bold>8</bold>
</xref>), we used the mooring Chl<italic>.a</italic> stratification (7m/20m) seasonality regression (<xref ref-type="table" rid="T1">
<bold>Table&#xa0;1</bold>
</xref>) to establish a seasonal correction factor (CF) for <italic>z</italic>
<sub>eu</sub> in the deep biomass VGPM<sub>db</sub> model (<xref ref-type="fig" rid="f12">
<bold>Figure&#xa0;12A</bold>
</xref>), and a seasonal correction factor [Chl.<italic>a</italic>:C<italic>
<sub>phyt</sub>
</italic>(<italic>z</italic>
<sub>bm</sub>)] (<xref ref-type="table" rid="T1">
<bold>Table&#xa0;1</bold>
</xref>) for deep carbon biomass in the CbPM<sub>db</sub> model (<xref ref-type="fig" rid="f12">
<bold>Figure&#xa0;12B</bold>
</xref>). Accounting for deep biomass increased total annual NPP to between 231 g C m<sup>-2</sup> y<sup>-1</sup> (a 5% increase) and 191 g C m<sup>-2</sup> y<sup>-1</sup> (an 18% increase) for VGPM<sub>db</sub> and CbPM<sub>db</sub> respectively (<xref ref-type="table" rid="T2">
<bold>Table&#xa0;2</bold>
</xref>). Seasonally, accounting for deep biomass ranged from no change from mid-autumn to early spring, to largest increases during a late-autumn to an early summer peak for the VGPM (about 30%) and an early to mid-summer peak for the CbPM<sub>db</sub> (about 33%).</p>
</sec>
</sec>
<sec id="s4" sec-type="discussion">
<label>4</label>
<title>Discussion</title>
<p>Our study investigates the impact of vertical stratification in a deep estuary site on the accuracy of satellite observations of water column biomass and net primary productivity (NPP). By incorporating seasonal vertical patterns of biomass, we improve (increase) the NPP satellite estimates. We examine the influences of observational representativeness, observational accuracy (between satellite, mooring and water collection measures), stratification, and seasonality on biomass and NPP estimation. We discuss NPP patterns in relation to previous observations and biomass trends (<xref ref-type="bibr" rid="B74">Safi et&#xa0;al., 2022</xref>) in the Firth, aiming to enhance satellite estimates across the broader region to the continental shelf edge.</p>
<p>To effectively capture the dynamic nature of the coastal ocean, we employed a range of observational methods that span representative space and time scales, enabling us to capture biogeochemical dynamics that are on par with the physical processes (<xref ref-type="bibr" rid="B18">Dickey, 2006</xref>). Our approach combines the temporal advantage of moored instruments (days-decades), highly time and space-resolved satellite observations (local-regional-continental), and vertical resolution from seasonal CTD-based surveys to gain synoptic insights. We discuss the factors affecting satellite information accuracy and explore the relationships and comparisons between these diverse data sources. However, assessing accuracy is challenging due to the differing sampling scales, which can lead to temporal decoupling, particularly in the case of satellite observations under cloudy conditions.</p>
<sec id="s4_1">
<label>4.1</label>
<title>Representativeness and accuracy</title>
<p>
<xref ref-type="bibr" rid="B66">Pinkerton et&#xa0;al., 2018</xref> conducted an analysis of the accuracy of the MODIS-Aqua products utilized in our study region, offering valuable insights into satellite remote sensing of coastal water quality in the area. Furthermore, <xref ref-type="bibr" rid="B23">Gall et&#xa0;al., 2022</xref> provides an overview of satellite remote sensing of coastal water quality in New Zealand, discussing both advances and challenges in this field, thus providing a broader context for our study.</p>
<p>It is worth noting that our moored instruments experienced tidal-driven depth variations of up to about 2.5 meters. The observed surface optical depths by the satellite, which were less than 5 meters, likely sampled shallower layers during periods of near-surface stratification compared to the moored instruments, which reached depths of around 7.5-10 meters. This phenomenon was evident at times in the CTD profiles depicted in <xref ref-type="fig" rid="f2">
<bold>Figure&#xa0;2</bold>
</xref> and is supported by more detailed investigations into surface responses during discharge events within the Firth (<xref ref-type="bibr" rid="B64">&#xd8;&#x2019;Callaghan and Stevens, 2017</xref>).</p>
<p>Like other studies, our analysis reveals good agreement between sea surface temperature (SST) from satellite observations and <italic>in situ</italic> measurements. For instance, along the Korean Peninsula coast, <xref ref-type="bibr" rid="B98">Woo and Park, 2020</xref> reported consistent results. Despite potential variations in assessment depths, we also found reasonable agreement in light attenuation (euphotic zone depth), with no evident seasonal bias. These findings align with comparisons made between satellite inherent optical properties (IOP) and field measurements in the China Sea, as demonstrated by <xref ref-type="bibr" rid="B78">Shang et&#xa0;al., 2011</xref>.</p>
<p>Our study revealed reasonable agreement among phytoplankton chlorophyll estimates obtained from 10 years of seasonal sampling voyages, moored instruments, and satellite observations, also without any notable seasonal bias (<xref ref-type="fig" rid="f11">
<bold>Figure&#xa0;11A</bold>
</xref>). However, there were discrepancies in the accuracy of the satellite and moored observations, with generally higher estimates from the mooring data, except for a few instances of low concentrations during summers. As highlighted above, differences may arise from variations in sampling depths, but also could be from methodological disparities between natural fluorescence measurements and satellite algorithms utilizing band ratio and absorption techniques. The mooring-based measurements of natural fluorescence were derived from daily averages which are known to include varying degrees of photochemical and non-photochemical quenching (<xref ref-type="bibr" rid="B10">Chamberlin et&#xa0;al., 1990</xref>). These quenching effects have the potential to influence the accuracy of the measurements.</p>
<p>Our satellite estimates of phytoplankton carbon, utilizing the empirical backscatter relationship of <xref ref-type="bibr" rid="B26">Graff et&#xa0;al., 2015</xref> in the open ocean, demonstrated some agreement with <italic>in situ</italic> collections during mid-spring and early summer. However, in early autumn and mid-winter, the satellite estimates exhibited higher values. This higher bias coincided with periods when river stormflows, containing high loads of suspended mineral particles, were also seasonally high, potentially influenced the study site (see <xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary Figure&#xa0;1B</bold>
</xref>). It is well known that changes in the contribution of non-algal particles, including inorganic and organic particles (detritus), to the backscatter signal can introduce a positive bias (<xref ref-type="bibr" rid="B86">Stramski et&#xa0;al., 2004</xref>). Additionally, closer agreement and lower error has been observed when small pico-phytoplankton dominate biomass (<xref ref-type="bibr" rid="B4">Bellacicco et&#xa0;al., 2020</xref>), which supports our high pico-phytoplankton biomass and their ratios during mid-spring and early summer (<xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary Figures&#xa0;8</bold>
</xref>, <xref ref-type="supplementary-material" rid="SM1">
<bold>9</bold>
</xref>) and better agreement during these seasons than others.</p>
<p>Considering that the Case 1/Case 2 logistic scaling of backscatter for the site indicated Case 1 conditions 98% of the time, we conclude that our phytoplankton biomass products have similar accuracy to open ocean estimates most of the time. Further confidence in the estimates&#x2019; reasonableness is supported by similar biomass C<italic>
<sub>phyt</sub>
</italic> : Chl.<italic>a</italic> ratios compared to <italic>in situ</italic> measurements (as shown in this study against others, <xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary Figure&#xa0;9</bold>
</xref>). Additionally, our findings align with similar seasonal patterns observed in other satellite studies conducted in the South China Sea (<xref ref-type="bibr" rid="B100">Xu et&#xa0;al., 2021</xref>), surface coastal stations in the Black Sea (<xref ref-type="bibr" rid="B82">Stelmakh and Gorbunova, 2018</xref>, and <xref ref-type="bibr" rid="B83">Stelmakh, 2020</xref>), temperate Danish coastal waters (<xref ref-type="bibr" rid="B36">Jakobsen and Markager, 2016</xref>), and conservative agreement with data from the northwestern Atlantic (<xref ref-type="bibr" rid="B76">Sathyendranath et&#xa0;al., 2009</xref>).</p>
</sec>
<sec id="s4_2">
<label>4.2</label>
<title>Biomass stratification and seasonality</title>
<p>The characterization of Chl.<italic>a</italic> stratification in coastal waters into different types, as presented by <xref ref-type="bibr" rid="B107">Zhao et&#xa0;al. (2019)</xref> for the German Bight, was observed at our study site. Our analysis of Chl.<italic>a</italic> biomass data obtained from mooring records yielded detailed monthly statistical distributions and boxplots that revealed consistent seasonal shifts in the distribution of Chl.<italic>a</italic> within the water column.</p>
<p>In early autumn to early spring, high Chl.<italic>a</italic> concentrations were predominantly found in the upper portion of the water column (HCU), while in late spring to late summer, they shifted to deeper regions either with a sub-surface maxima (SCML) or high Chl.<italic>a</italic> in the lower portion of the water column (HCL) to the bottom. These patterns were closely associated with the availability of dissolved macronutrients (<xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary Figure&#xa0;6</bold>
</xref>), primarily by inorganic nitrogen (DIN), including nitrate N and ammonium N, as reported by <xref ref-type="bibr" rid="B102">Zeldis et&#xa0;al., 2022</xref> and <xref ref-type="bibr" rid="B74">Safi et&#xa0;al., 2022</xref>, modified by variations in light and physical stratification as discussed in <xref ref-type="bibr" rid="B24">Gall and Zeldis, 2011</xref> and <xref ref-type="bibr" rid="B102">Zeldis et&#xa0;al., 2022</xref>. Surface DIN concentrations remained consistently low, below 1 &#x3bc;mol L<sup>-1</sup>, throughout the seasons, except for early winter when they exceeded 1 &#x3bc;mol L<sup>-1</sup>. This threshold indicates the potential for nitrogen limitation according to <xref ref-type="bibr" rid="B20">Eppley et&#xa0;al., 1969</xref>. <xref ref-type="bibr" rid="B102">Zeldis et&#xa0;al. (2022)</xref> and <xref ref-type="bibr" rid="B74">Safi et&#xa0;al. (2022)</xref> offer a comprehensive examination and insightful discussion of the alterations in DIN, dissolved reactive phosphorus (DRP), and silicate (DRSi) concentrations, shedding light on the nuanced connections between these changing ratios and shifts in phytoplankton taxonomic groups within the region. Despite the low DIN levels, the shallow stratified surface layers received sufficient light for biomass accumulation, peaking from late winter to early spring as light intensity increased. As DIN became depleted in the surface layer and temperature stratification strengthened and deepened from spring into summer, biomass accumulated in the pycnocline, progressing deeper into the lower water column (HCL) where DIN levels were not limiting (&gt;1 &#x3bc;mol L<sup>-1</sup>), and with sufficient light in clear surface waters (deep euphotic zones) and increasing light, would support biomass. <xref ref-type="bibr" rid="B107">Zhao et&#xa0;al., 2019</xref> observed deep HCL layers during the decay phase of the spring bloom, associated with resuspension and erosion of the SCML, yet recognized the potential for photosynthetic activity below the pycnocline.</p>
<p>In a recent study spanning from March 2015 to October 2017 (c.f. <xref ref-type="fig" rid="f9">
<bold>Figure&#xa0;9</bold>
</xref>; <xref ref-type="bibr" rid="B102">Zeldis et&#xa0;al., 2022</xref>), the use of moored oxygen sensors at a depth of 35 m revealed a pronounced peak in gross primary productivity (GPP) in the deep layer during summers. This peak coincided with the highest positive values of apparent oxygen utilization, an indicator of net respiration, occurring prior to the breakdown of water column stratification in early autumn. As light levels decreased from mid-summer through autumn, deep biomass layers would become light limited. During the autumn to winter period, complete mixing of the water column occurred, as depicted in <xref ref-type="fig" rid="f5">
<bold>Figure&#xa0;5</bold>
</xref> (and described by <xref ref-type="bibr" rid="B102">Zeldis et&#xa0;al., 2022</xref> in their <xref ref-type="fig" rid="f7">
<bold>Figures&#xa0;7</bold>
</xref>, <xref ref-type="fig" rid="f9">
<bold>9</bold>
</xref>), facilitating the replenishment of nutrient-depleted surface waters with macro-nutrients, completing the seasonal cycle.</p>
<p>The absence of cell senescence during mid-spring to early summer 3-month collections was supported by low phaeopigment ratios [Pha.a/(Chl.a + Pha.a)] that peaked in autumn and tended to be lowest in spring, albeit with interannual variability (<xref ref-type="fig" rid="f8">
<bold>Figure&#xa0;8B</bold>
</xref>). <xref ref-type="bibr" rid="B74">Safi et&#xa0;al., 2022</xref> provided a detailed discussion on the development of a more heterotrophic system in early autumn, attributing the high ratios to the mineralization of spring primary production sometime during the mid-summer to early autumn period.</p>
<p>As well as nutrient supply and physical processes such as stratification, mixing and advective mechanisms influencing phytoplankton biomass and its stratification (<xref ref-type="bibr" rid="B16">Cullen et&#xa0;al., 2002</xref>), grazing, sedimentation, and cell lysis are also important mechanisms (<xref ref-type="bibr" rid="B8">Brussaard et&#xa0;al., 1995</xref>). Grazing pressure may also play a role in driving the formation and deepening of the deep Chl. <italic>a</italic> maxima (DCM) in the open ocean (<xref ref-type="bibr" rid="B58">Moeller et&#xa0;al., 2019</xref>), and previous studies in the inner Hauraki Gulf (<xref ref-type="bibr" rid="B106">Zeldis and Willis, 2015</xref>) showed increased rates of mesozooplankton grazing between spring and summer surveys that could add to biomass export to deeper layers.</p>
<p>An important distinction of deep Chl. <italic>a</italic> maxima DCM (SCML and/or HCL) is whether it is deep phytoplankton carbon (C<italic>
<sub>phyt</sub>
</italic>) biomass maxima (DBM) or deep photoacclimation maxima (DAM) - <xref ref-type="bibr" rid="B15">Cornec et&#xa0;al., 2021</xref>. Although we only documented SCML on some occasions in CTD profiles (<xref ref-type="fig" rid="f2">
<bold>Figure&#xa0;2D</bold>
</xref>), it is relevant to HCL at this deep estuary site (or conversely, shallow continental shelf site) in photoacclimation seasonality observed in our low C<italic>
<sub>phyt</sub>
</italic> : Chl<italic>.a</italic> ratios in early summer (<xref ref-type="fig" rid="f8">
<bold>Figure&#xa0;8D</bold>
</xref>). As highlighted above, it was plausible that there was sufficient light (at times) to support deep HCL phytoplankton growth and maintenance, where increasing pigment concentration per cell in light limiting conditions is an adaption to harvesting more energy for photosynthesis (<xref ref-type="bibr" rid="B25">Geider et&#xa0;al., 1998</xref> and <xref ref-type="bibr" rid="B51">MacIntyre et&#xa0;al., 2002</xref>). HCL at the Firth of Thames site coincided with clear surface waters and deep euphotic zones up to the mid-summer period of highest light intensities (<xref ref-type="fig" rid="f10">
<bold>Figure&#xa0;10B</bold>
</xref>).</p>
<p>In comparison to the study by <xref ref-type="bibr" rid="B24">Gall and Zeldis, 2011</xref>, our investigation provided a more comprehensive understanding of the seasonal dynamics of phytoplankton biomass in this deep estuary site. We detected significant seasonal variations in biomass ratios of pico-phytoplankton (mainly <italic>Prochlorococcus</italic>) in surface waters at our site, with minimum values in winter and maximum values in summer (<xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary Figures&#xa0;6&#x2013;7</bold>
</xref>). Similar observations of larger sinusoidal variation were reported at the Hawaii Ocean Time-series (HOT) oligotrophic site in the North Pacific Gyre by <xref ref-type="bibr" rid="B97">Winn et&#xa0;al., 1995</xref>, as well as in satellite-based measurements of biomass ratios in the broader area around the HOT site (<xref ref-type="bibr" rid="B93">Westberry et&#xa0;al., 2016</xref>, c.f. <xref ref-type="fig" rid="f2">
<bold>Figure&#xa0;2</bold>
</xref>). Our research (<xref ref-type="bibr" rid="B74">Safi et&#xa0;al., 2022</xref>) also revealed an increase in micro-sized biomass during early summer and pronounced seasonality in deep biomass ratios, predominantly associated with micro-phytoplankton, originating from large centric diatoms and flagellates. The seasonal taxonomic shifts observed at our site may indicate that large motile phytoplankton with buoyancy control or flagella possess an advantage in exploiting nutrient gradients and light conditions during late spring and summer, as highlighted in studies by <xref ref-type="bibr" rid="B81">Sommer et&#xa0;al., 2017</xref>. It is well-known that diatoms, especially large centric diatoms, can rapidly adjust their sinking behaviors in response to changes in nutrient concentrations, as demonstrated by <xref ref-type="bibr" rid="B19">Du Clos et&#xa0;al., 2021</xref>.</p>
</sec>
<sec id="s4_3">
<label>4.3</label>
<title>Net primary productivity models</title>
<p>The mean annual Chl<italic>.a</italic> based, and deep biomass corrected, VGPM-NPP (220-231 g C m<sup>-2</sup> y<sup>-1</sup> respectively) from July-2002 to July-2018 was higher than previous estimates (<xref ref-type="bibr" rid="B24">Gall and Zeldis, 2011</xref>) using a similar model from 1998 and 2000 (178 g C m<sup>-2</sup> y<sup>-1</sup>). We attribute this difference to lower Chl<italic>.a</italic> estimates resulting from a larger averaging area that included deeper Hauraki Gulf waters (<xref ref-type="fig" rid="f1">
<bold>Figure&#xa0;1</bold>
</xref> vs c.f. <xref ref-type="fig" rid="f1">
<bold>Figure&#xa0;1</bold>
</xref>; <xref ref-type="bibr" rid="B24">Gall and Zeldis, 2011</xref>), rather than lower Chl<italic>.a</italic> at the Firth site.</p>
<p>In our study we used a fixed value of P<italic>
<sub>bopt</sub>
</italic> (2.9 mg C (mg Chl<italic>.a</italic>)<sup>-1</sup> h<sup>-1</sup>) determined in <xref ref-type="bibr" rid="B24">Gall and Zeldis (2011)</xref>. It is important to note that P<italic>
<sub>bopt</sub>
</italic> is known to be temperature dependent according to the findings of <xref ref-type="bibr" rid="B31">Harding et&#xa0;al. (2020)</xref>. Although no seasonality was observed over the 13-23&#xb0;C seasonal temperature range at the Firth monitoring site (<xref ref-type="bibr" rid="B24">Gall and Zeldis, 2011</xref>), this is likely due to the limited number of observations. If a greater availability of P<italic>
<sub>bopt</sub>
</italic> data, like the findings in <xref ref-type="bibr" rid="B31">Harding et&#xa0;al. (2020)</xref> for Chesapeake Bay, had been present in our study, indicating a Pbopt range of 2.4-5.5 mg C (mg Chl.<italic>a</italic>)<sup>-1</sup> h<sup>-1</sup> across the 13-23 &#xb0;C temperature range, it is likely that our analysis would have revealed more pronounced seasonality in VGPM-NPP.</p>
<p>The 25% lower CbPM-NPP models (161-191 g C m<sup>-2</sup> y<sup>-1</sup>) are likely from lower growth estimates during the winter months, approximately half of those projected by the VGPM model. CbPM models are anticipated to better capture photoacclimation and physiological changes in C<italic>
<sub>phyt</sub>
</italic> : Chl.<italic>a</italic> (<xref ref-type="bibr" rid="B1">Behrenfeld et&#xa0;al., 2005</xref> and <xref ref-type="bibr" rid="B92">Westberry et&#xa0;al., 2008</xref>), rendering them more responsive to seasonal dynamics driven by factors such as nutrients and light, which have a significant influence on growth, supporting the larger range in seasonality of our CbPM models (<xref ref-type="fig" rid="f12">
<bold>Figure&#xa0;12</bold>
</xref>).</p>
<p>Productivity models that incorporate depth-dependent responses of phytoplankton biomass and physiology to subsurface irradiance are generally considered more accurate in the deeper open ocean. However, these models only explain approximately 15% more variance in <italic>in situ</italic> NPP estimates compared to surface based VGPMs and CbPMs (<xref ref-type="bibr" rid="B2">Behrenfeld and Falkowski, 1997a</xref> and references therein). In our study, we incorporated stratified biomass and seasonality in deep Chl.<italic>a</italic> layers using mooring observations, which supported this finding, resulting in a modest increase of annual NPP estimates by 5% to 18% for VGPM and CbPM, respectively. Although one represents variance explained and the other represents an increase, we assume that these changes are influenced by similar factors. The largest increases in NPP occurred during the summer months (30-33%), coinciding with maximal deep biomass stratification. Moderate increases were observed in spring, while minimal or no increases were observed during autumn and winter.</p>
<p>Deep Chl.<italic>a</italic> maxima are commonly observed in various regions of the global ocean and as discussed above can arise due to either deep photoacclimation maxima or deep biomass maxima (<xref ref-type="bibr" rid="B15">Cornec et&#xa0;al., 2021</xref>), with the latter exerting a greater influence on net primary productivity (NPP). Previous investigations have highlighted the significant contribution of deep Chl.<italic>a</italic> maxima to water column NPP, particularly during specific seasons. For example, studies have shown that deep Chl.<italic>a</italic> maxima can account for up to 37% of NPP in the summer stratified conditions along the northern slope (30-80 m) of the Dogger Bank in the North Sea (<xref ref-type="bibr" rid="B94">Weston et&#xa0;al., 2005</xref>), and up to 60% during summers characterized by deep maxima in shallow coastal ecosystems (&lt;50 m) of the northwestern Mediterranean (<xref ref-type="bibr" rid="B29">Guallar and Flos, 2017</xref>). Although these studies provide additional support for our findings, a quantitative assessment of in-water conditions is necessary to further validate these observations in our regions.</p>
<p>Different studies comparing bio-optical NPP models have shown varying preferences for a specific models in terms of their ability to accurately estimate NPP against in-water measurements (<xref ref-type="bibr" rid="B75">Saba et&#xa0;al., 2011</xref>; <xref ref-type="bibr" rid="B80">Silsbe et&#xa0;al., 2016</xref>; <xref ref-type="bibr" rid="B71">Regaudie-de-Gioux et&#xa0;al., 2019</xref>; <xref ref-type="bibr" rid="B48">Li et&#xa0;al., 2020</xref>). In our study, we employed the Chl.<italic>a</italic> based VGPM model, which has been previously used in the Hauraki Gulf continental shelf and Firth regions (<xref ref-type="bibr" rid="B24">Gall and Zeldis, 2011</xref>). This model is widely accepted due to its simplicity and reliable performance (<xref ref-type="bibr" rid="B38">Kahru et&#xa0;al., 2009</xref>). Additionally, we incorporated the carbon-growth-based CbPM model (<xref ref-type="bibr" rid="B1">Behrenfeld et&#xa0;al., 2005</xref>) as an alternative approach to evaluate the influence of biomass stratification in a straightforward manner.</p>
<p>Recent advancements have proposed mechanistic improvements for the carbon-growth-based CbPM model, utilizing a combined C<italic>
<sub>phyt</sub>
</italic>, absorption, and fluorescence euphotic-resolved (CAF&#xc9;) adaptive framework model (<xref ref-type="bibr" rid="B80">Silsbe et&#xa0;al., 2016</xref>). This enhanced model has demonstrated superior performance in capturing the highest variance and exhibiting the lowest bias when compared to other models on global <italic>in situ</italic> data. While the application of the CAF&#xc9; model was not within the scope of this paper, it is planned for implementation as part of the NIWA-SCENZ (Sea&#x2019;s Coasts and Estuaries NZ) framework for remote sensing of coastal water quality (<xref ref-type="bibr" rid="B23">Gall et&#xa0;al., 2022</xref>). Furthermore, it should be noted that accounting for deep biomass should also contribute to improving the accuracy of the CAF&#xc9; model.</p>
</sec>
<sec id="s4_4">
<label>4.4</label>
<title>Regional perspective</title>
<p>The net primary productivity (NPP) at the Firth monitoring site, adjusted for deep biomass, was estimated to be between 191-231 g C m<sup>-2</sup> y<sup>-1</sup>, classifying it within the mesotrophic range (100-300 g C m<sup>-2</sup> y<sup>-1</sup>) according to <xref ref-type="bibr" rid="B63">Nixon, 1995</xref> coastal marine trophic classification. These productivity levels are similar to other estuarine-coastal ecosystems such as Delaware Bay and San Francisco Bay and close to the median of 181 g C m<sup>-2</sup> y<sup>-1</sup> in a worldwide compilation across 131 ecosystems in a comprehensive study by <xref ref-type="bibr" rid="B14">Cloern et&#xa0;al., 2014</xref>.</p>
<p>Our analysis of NPP data for the Firth site identified substantial interannual anomalies (-10% to 10%) (<xref ref-type="table" rid="T2">
<bold>Table&#xa0;2</bold>
</xref>). The monitoring site at the outer Firth should be equally impacted by nutrient inputs from both the seaward Hauraki Gulf to the north and its main river catchments to the south, as suggested in recent modelling scenarios (H. Macdonald, NIWA, pers. comm). This indicates that both sources play an important role in driving NPP variations at the site. In the Hauraki Gulf, the influence of wind-driven upwelling/downwelling events and mixing-driven nutrient fluxes along the shelf edge, has been described in studies by <xref ref-type="bibr" rid="B79">Sharples and Greig, 1998</xref>; <xref ref-type="bibr" rid="B105">Zeldis et&#xa0;al., 2004</xref>; <xref ref-type="bibr" rid="B84">Stevens et&#xa0;al., 2019</xref>). On the other hand, as highlighted previously, the nutrient concentrations within the Firth waters are predominantly influenced by catchment loading, as evidenced by the research of <xref ref-type="bibr" rid="B104">Zeldis and Swaney, 2018</xref>; <xref ref-type="bibr" rid="B102">Zeldis et&#xa0;al., 2022</xref>.</p>
<p>In their study, <xref ref-type="bibr" rid="B74">Safi et&#xa0;al. (2022)</xref> conducted trend analyses and utilized multivariate general additive modeling at our research site, revealing that micro-phytoplankton biomass demonstrated a primary response to elevated levels of dissolved inorganic nitrogen (DIN) and&#xa0;a&#xa0;secondary response to variations in physical stratification. These findings align with the observed seasonal responses in the biomass&#xa0;C<italic>
<sub>phyt</sub>
</italic> : Chl.a ratio, which tend to be higher for smaller picophytoplankton when DIN concentrations are low. Similar patterns and correlations have been documented in more detailed investigations of nutrient conditions in the Baltic Sea transition zone (<xref ref-type="bibr" rid="B36">Jakobsen and Markager, 2016</xref>), where the ratios show a clear decrease with increasing nitrogen concentrations. The results of <xref ref-type="bibr" rid="B74">Safi et&#xa0;al. (2022)</xref> also suggest that physical stratification plays a role in driving variations in net primary productivity (NPP) at shorter temporal scales, such as seasonal fluctuations. Consequently, we anticipate that differences in the timing and intensity of nutrient loading and physical stratification across different years have contributed to the observed interannual variations in NPP at our monitoring site. However, further research is necessary to attain a comprehensive understanding and untangle the complexities associated with these processes.</p>
<p>Interannual variations in NPP, considering models adjusted for deep Chl.<italic>a</italic> (see <xref ref-type="table" rid="T2">
<bold>Table&#xa0;2</bold>
</xref>), ranged from a low in 2008 (166-207 g C m<sup>-2</sup> y<sup>-1</sup>) to a high in 2017 (215-259 g C m<sup>-2</sup> y<sup>-1</sup>). Notably, the period between 2012 and 2016 exhibited consistently low annual NPP (~200 g C m<sup>-2</sup> y<sup>-1</sup>), underscoring the challenges in interpreting long-term linear trends within specific multi-decade timeframes. An analysis of a longer time series of monthly mean Chl.<italic>a</italic> (used as a proxy for NPP) in the subtropical waters west of the North Island, spanning from 1997 to 2018 and combining data from SeaWiFS, MODIS-Aqua, and MERIS, revealed similar interannual variability. Their analysis highlighted non-linear multi-year fluctuations in Chl.<italic>a</italic> biomass and anomalies without any discernible trends (<xref ref-type="bibr" rid="B68">Pinkerton et&#xa0;al., 2019</xref>: c.f. <xref ref-type="fig" rid="f3">
<bold>Figures&#xa0;3</bold>
</xref>, <xref ref-type="fig" rid="f4">
<bold>4</bold>
</xref>, <xref ref-type="fig" rid="f5">
<bold>5D</bold>
</xref>). Due to the small and varying trends observed over different time periods, as well as the need for a broader regional analysis encompassing the entire continental shelf from deep to shallow coastal margins, a comprehensive trend analysis for the region is being deferred to a future publication.</p>
<p>
<xref ref-type="bibr" rid="B12">Chiswell et&#xa0;al., 2013</xref> also conducted a study examining the climatology of surface Chl.<italic>a</italic> in the southwest Pacific Ocean surrounding New Zealand, focusing on the main water masses and fronts. Their research documented the phenology of phytoplankton bloom dynamics in the region. Specifically, they found that waters adjacent to the Hauraki Gulf typically exhibit short-lived mid-spring blooms, which occur when mixed layers shoal due to the relief of wind stress (<xref ref-type="bibr" rid="B12">Chiswell et&#xa0;al., 2013</xref>: c.f. <xref ref-type="fig" rid="f5">
<bold>Figure&#xa0;5</bold>
</xref>). These blooms occur for a brief period of less than one month and follow the replenishment of nutrients into surface waters during late autumn and winter mixing, providing sufficient light and nutrients to sustain phytoplankton growth. <xref ref-type="bibr" rid="B24">Gall and Zeldis, 2011</xref> further explored these dynamics over the northeast continental shelf (at a water depth of 150 m) seaward of the Hauraki Gulf. They utilized SeaWIFS and moored surface INF Chl.<italic>a</italic> observations and detected a mid-late spring bloom in that area. In contrast, at the Firth monitoring site, where SeaWIFS and INF sampling were also conducted, a mixture of autumn, winter, and spring peaks was observed, but with earlier peaks occurring around winter and lower values during the summer period, consistent with the findings of the present study.</p>
<p>As the continental shelf nears the coastline, the depth available for biomass stratification decreases. We suggest that instead of the deeper chlorophyll maximum (DCM) or subsurface chlorophyll maximum (SCML) observed in open ocean waters, a high chlorophyll lower layer (HCL) forms in shallower waters, typically in less than 50 meters. This HCL is only found when surface waters are clear, when enough light can reach the lower layers for productivity. This transition is documented across a number of overseas studies in different regions, including: the Dogger Bank in the North Sea (c.f. <xref ref-type="fig" rid="f2">
<bold>Figure&#xa0;2</bold>
</xref>, <xref ref-type="bibr" rid="B21">Fernand et&#xa0;al., 2013</xref>); the Australian continental shelf (c.f. <xref ref-type="fig" rid="f8">
<bold>Figure&#xa0;8</bold>
</xref>, <xref ref-type="bibr" rid="B53">Mahjabin et&#xa0;al., 2020</xref>); the South Brazilian Bight (c.f. <xref ref-type="fig" rid="f5">
<bold>Figure&#xa0;5</bold>
</xref>, <xref ref-type="bibr" rid="B7">Brandini et&#xa0;al., 2014</xref>); in NW Mediterranean coastal ecosystem (c.f. <xref ref-type="fig" rid="f3">
<bold>Figure&#xa0;3</bold>
</xref>, <xref ref-type="bibr" rid="B29">Guallar and Flos, 2017</xref>); and summer glider transects across the continental shelf in the Mid-Atlantic Bight (<xref ref-type="bibr" rid="B99">Wright-Fairbanks et&#xa0;al., 2020</xref>). We have also observed similar transitions in Tasman and Golden Bays, New Zealand (<xref ref-type="bibr" rid="B103">Zeldis and Gall, 2005</xref> and <xref ref-type="bibr" rid="B52">MacKenzie and Adamson, 2004</xref>), as well as across the northeastern New Zealand continental shelf into the Hauraki Gulf and Firth of Thames (c.f. <xref ref-type="fig" rid="f2">
<bold>Figure&#xa0;2</bold>
</xref>; <xref ref-type="bibr" rid="B9">Bury et&#xa0;al., 2012</xref> and c.f. <xref ref-type="fig" rid="f9">
<bold>Figure&#xa0;9</bold>
</xref>; <xref ref-type="bibr" rid="B74">Safi et&#xa0;al., 2022</xref>). Additional investigation is necessary to understand, verify, and quantify the potential productivity of the high chlorophyll lower layer (HCL) and its correlation with areal net primary productivity (NPP).</p>
</sec>
</sec>
<sec id="s5" sec-type="conclusions">
<label>5</label>
<title>Conclusion and recommendations</title>
<p>Our study provides valuable insights based on decadal-scale observations. Firstly, we validate the accuracy of satellite (MODIS-Aqua) Case1/Case2 blended products processed by NIWA for the Firth monitoring site. This finding enhances our confidence in using satellite data for further analysis. Secondly, we identify clear patterns and seasonal predictability in water column phytoplankton biomass and its stratification, shedding light on the dynamics of primary productivity in this coastal region. Lastly, by incorporating deep biomass corrections, in a simple two-layered approach, we significantly improve the accuracy of NPP estimates derived from satellite data, emphasizing the importance of considering the entire water column for more precise assessments, particularly in some seasons. Overall, our study advances the understanding of phytoplankton biomass-stratification relationships and their impact on NPP, providing valuable insights that can be applied to similar coastal regions with comparable seasonal characteristics.</p>
<p>To enhance NPP estimates for the New Zealand continental shelf and coastal ocean, we recommend the integration of a high-resolution coastal ocean model, as demonstrated in <xref ref-type="bibr" rid="B12">Chiswell et&#xa0;al. (2013)</xref>, in conjunction with moderate-resolution satellite data (500 m). This combined approach should incorporate predictions of mixed layer depth and pycnocline widths, allowing for more accurate representation of biomass-stratification dynamics in NPP models. To validate and inventory water column biomass-stratification, we propose the deployment of moored profilers, towed undulators, and glider transects at strategic locations across the continental shelf. These observational techniques will provide valuable data to confirm and quantify the distribution of biomass within the water column. Additionally, gaining a deeper understanding of the seasonality of photosynthetic rates in deep biomass layers within the euphotic zone, and their relationship with surface observations, is crucial for improving the precision of NPP estimates.</p>
<p>By implementing these recommendations, we can advance our understanding of regional primary productivity and enhance the accuracy of NPP assessments in coastal and shelf ecosystems across New Zealand.</p>
</sec>
<sec id="s6" sec-type="data-availability">
<title>Data availability statement</title>
<p>The satellite (MODIS-Aqua) datasets presented in this study can be found in online repositories. The names of the repository/repositories and accession number(s) can be found below: <ext-link ext-link-type="uri" xlink:href="https://gis.niwa.co.nz/portal/apps/experiencebuilder/template/?id=9794f29cd417493894df99d422c30ec2&amp;page=page_2">https://gis.niwa.co.nz/portal/apps/experiencebuilder/template/?id=9794f29cd417493894df99d422c30ec2&amp;page=page_2</ext-link>.</p>
</sec>
<sec id="s7" sec-type="author-contributions">
<title>Author contributions</title>
<p>MG conceived of the aims of this study, led the analysis, writing, primary productivity measurements and modelling, and took part in field surveys and laboratory analysis (PABS). JZ led the original research and projects in the region and their field surveys. Phytoplankton species and their carbon biomass was analyzed by KS. SW supplied calibrated MODIS-Aqua Level-2 products from direct broadcast (Lauder, NZ) raw data (SeaDAS). MP led the remote sensing algorithm processing (IDL), extracting Level-3 products for the region. Case 2 tuning/validation was based on datasets collected by MG. All authors have read, contributed where needed and approve the publication of this article.</p>
</sec>
</body>
<back>
<sec id="s8" sec-type="funding-information">
<title>Funding</title>
<p>The author(s) declare financial support was received for the research, authorship, and/or publication of this article. This work was supported by the Ministry of Business, Innovation and Employment (MBIE) under NIWA&#x2019;s Strategic Science Investment Fund in the Coasts and Oceans contract (C01X0501): Ocean Flows and Productivity (OCOF); Structure and function of marine ecosystems (OCES); and Aquaculture/Environmental Interactions (CEEE).</p>
</sec>
<ack>
<title>Acknowledgments</title>
<p>We thank the vessel crews of the R.V. Kaharoa (NIWA) and chartered Western Work Boats for ensuring these collections were possible in sometimes challenging conditions. Thank you to all other NIWA science staff who took part in these forty voyages (Matt Walkington, Craig Stewart, Fiona Elliot, Brett Grant, Sarah Searson). Also, thank you to all staff involved in the laboratory analysis of samples at the NIWA Water Quality laboratory in Hamilton and the Christchurch laboratory. The manuscript has been improved by review comments from Scott Nodder. We acknowledge the work of the Earth-observation community worldwide, and NASA Goddard Space Flight Center and MODIS project, for their contribution to remote sensing worldwide, without which, this work would not have been possible.</p>
</ack>
<sec id="s9" sec-type="COI-statement">
<title>Conflict of interest</title>
<p>Authors MG, JZ, KS, SW and MP were employed by National Institute of Water and Atmospheric Research Limited (NIWA).</p>
<p>The remaining authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec id="s10" sec-type="disclaimer">
<title>Publisher&#x2019;s note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
<sec id="s11" sec-type="supplementary-material">
<title>Supplementary material</title>
<p>The Supplementary Material for this article can be found online at: <ext-link ext-link-type="uri" xlink:href="https://www.frontiersin.org/articles/10.3389/fmars.2023.1250322/full#supplementary-material">https://www.frontiersin.org/articles/10.3389/fmars.2023.1250322/full#supplementary-material</ext-link>
</p>
<supplementary-material xlink:href="DataSheet_1.docx" id="SM1" mimetype="application/vnd.openxmlformats-officedocument.wordprocessingml.document"/>
</sec>
<ref-list>
<title>References</title>
<ref id="B1">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Behrenfeld</surname> <given-names>M. J.</given-names>
</name>
<name>
<surname>Boss</surname> <given-names>E.</given-names>
</name>
<name>
<surname>Siegel</surname> <given-names>D. A.</given-names>
</name>
<name>
<surname>Shea</surname> <given-names>D. M.</given-names>
</name>
</person-group> (<year>2005</year>). <article-title>Carbon-based ocean productivity and phytoplankton physiology from space</article-title>. <source>Global Biogeochemical Cycles</source> <volume>19</volume> (<issue>1</issue>), <fpage>1</fpage>&#x2013;<lpage>14</lpage>. doi: <pub-id pub-id-type="doi">10.1029/2004GB002299</pub-id>
</citation>
</ref>
<ref id="B2">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Behrenfeld</surname> <given-names>M. J.</given-names>
</name>
<name>
<surname>Falkowski</surname> <given-names>P. G.</given-names>
</name>
</person-group> (<year>1997</year>a). <article-title>A consumer&#x2019;s guide to phytoplankton primary productivity models</article-title>. <source>Limnology Oceanography</source> <volume>42</volume> (<issue>7</issue>), <fpage>1479</fpage>&#x2013;<lpage>1491</lpage>. doi: <pub-id pub-id-type="doi">10.4319/lo.1997.42.7.1479</pub-id>
</citation>
</ref>
<ref id="B3">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Behrenfeld</surname> <given-names>M. J.</given-names>
</name>
<name>
<surname>Falkowski</surname> <given-names>P. G.</given-names>
</name>
</person-group> (<year>1997</year>b). <article-title>Photosynthetic rates derived from satellite-based chlorophyll concentrations</article-title>. <source>Limnology Oceanography</source> <volume>42</volume> (<issue>1</issue>), <fpage>1</fpage>&#x2013;<lpage>20</lpage>. doi: <pub-id pub-id-type="doi">10.4319/lo.1997.42.1.0001</pub-id>
</citation>
</ref>
<ref id="B4">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Bellacicco</surname> <given-names>M.</given-names>
</name>
<name>
<surname>Pitarch</surname> <given-names>J.</given-names>
</name>
<name>
<surname>Organelli</surname> <given-names>E.</given-names>
</name>
<name>
<surname>Martinez-Vicente</surname> <given-names>V.</given-names>
</name>
<name>
<surname>Volpe</surname> <given-names>G.</given-names>
</name>
<name>
<surname>Marullo</surname> <given-names>S.</given-names>
</name>
</person-group> (<year>2020</year>). <article-title>Improving the retrieval of carbon-based phytoplankton biomass from Satellite Ocean Colour Observations</article-title>. <source>Remote Sens.</source> <volume>12</volume> (<issue>21</issue>), <fpage>3640</fpage>. doi: <pub-id pub-id-type="doi">10.3390/rs12213640</pub-id>
</citation>
</ref>
<ref id="B5">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Binding</surname> <given-names>C.</given-names>
</name>
<name>
<surname>Jerome</surname> <given-names>J.</given-names>
</name>
<name>
<surname>Bukata</surname> <given-names>R.</given-names>
</name>
<name>
<surname>Booty</surname> <given-names>W.</given-names>
</name>
</person-group> (<year>2008</year>). <article-title>Spectral absorption properties of dissolved and particulate matter in Lake Erie</article-title>. <source>Remote Sens. Environ.</source> <volume>112</volume> (<issue>4</issue>), <fpage>1702</fpage>&#x2013;<lpage>1711</lpage>. doi: <pub-id pub-id-type="doi">10.1016/j.rse.2007.08.017</pub-id>
</citation>
</ref>
<ref id="B6">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Botha</surname> <given-names>E. J.</given-names>
</name>
<name>
<surname>Anstee</surname> <given-names>J. M.</given-names>
</name>
<name>
<surname>Sagar</surname> <given-names>S.</given-names>
</name>
<name>
<surname>Lehmann</surname> <given-names>E.</given-names>
</name>
<name>
<surname>Medeiros</surname> <given-names>T. A. G.</given-names>
</name>
</person-group> (<year>2020</year>). <article-title>Classification of Australian waterbodies across a wide range of optical water types</article-title>. <source>Remote Sens.</source> <volume>12</volume> (<issue>18</issue>), <elocation-id>3018</elocation-id>. doi:&#xa0;<pub-id pub-id-type="doi">10.3390/rs12183018</pub-id>
</citation>
</ref>
<ref id="B7">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Brandini</surname> <given-names>F. P.</given-names>
</name>
<name>
<surname>Nogueira</surname> <given-names>M.</given-names>
<suffix>Jr.</suffix>
</name>
<name>
<surname>Simi&#xe3;o</surname> <given-names>M.</given-names>
</name>
<name>
<surname>Codina</surname> <given-names>J. C. U.</given-names>
</name>
<name>
<surname>Noernberg</surname> <given-names>M. A.</given-names>
</name>
</person-group> (<year>2014</year>). <article-title>Deep chlorophyll maximum and plankton community response to oceanic bottom intrusions on the continental shelf in the South Brazilian Bight</article-title>. <source>Continental Shelf Res.</source> <volume>89</volume>, <fpage>61</fpage>&#x2013;<lpage>75</lpage>. doi: <pub-id pub-id-type="doi">10.1016/j.csr.2013.08.002</pub-id>
</citation>
</ref>
<ref id="B8">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Brussaard</surname> <given-names>C.</given-names>
</name>
<name>
<surname>Riegman</surname> <given-names>R.</given-names>
</name>
<name>
<surname>Noordeloos</surname> <given-names>A.</given-names>
</name>
<name>
<surname>Cad&#xe9;e</surname> <given-names>G.</given-names>
</name>
<name>
<surname>Witte</surname> <given-names>H.</given-names>
</name>
<name>
<surname>Kop</surname> <given-names>A.</given-names>
</name>
<etal/>
</person-group>. (<year>1995</year>). <article-title>Effects of grazing, sedimentation and phytoplankton cell lysis on the structure of a coastal pelagic food web</article-title>. <source>Mar. Ecol. Prog. Ser.</source> <volume>123</volume>, <fpage>259</fpage>&#x2013;<lpage>271</lpage>. doi: <pub-id pub-id-type="doi">10.3354/meps123259</pub-id>
</citation>
</ref>
<ref id="B9">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Bury</surname> <given-names>S.</given-names>
</name>
<name>
<surname>Zeldis</surname> <given-names>J.</given-names>
</name>
<name>
<surname>Nodder</surname> <given-names>S.</given-names>
</name>
<name>
<surname>Gall</surname> <given-names>M.</given-names>
</name>
</person-group> (<year>2012</year>). <article-title>Regenerated primary production dominates in a periodically upwelling shelf ecosystem, northeast New Zealand</article-title>. <source>Continental Shelf Res.</source> <volume>32</volume>, <fpage>1</fpage>&#x2013;<lpage>21</lpage>. doi: <pub-id pub-id-type="doi">10.1016/j.csr.2011.09.008</pub-id>
</citation>
</ref>
<ref id="B10">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Chamberlin</surname> <given-names>W. S.</given-names>
</name>
<name>
<surname>Booth</surname> <given-names>C. R.</given-names>
</name>
<name>
<surname>Kiefer</surname> <given-names>D. A.</given-names>
</name>
<name>
<surname>Morrow</surname> <given-names>J. H.</given-names>
</name>
<name>
<surname>Murphy</surname> <given-names>R. C.</given-names>
</name>
</person-group> (<year>1990</year>). <article-title>Evidence for a simple relationship between natural fluorescence, photosynthesis and chlorophyll in the sea</article-title>. <source>Deep-Sea Res.</source> <volume>37</volume> (<issue>6A</issue>), <fpage>951</fpage>&#x2013;<lpage>973</lpage>. doi: <pub-id pub-id-type="doi">10.1016/0198-0149(90)90105-5</pub-id>
</citation>
</ref>
<ref id="B11">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Chang</surname> <given-names>F. H.</given-names>
</name>
<name>
<surname>Zeldis</surname> <given-names>J.</given-names>
</name>
<name>
<surname>Gall</surname> <given-names>M.</given-names>
</name>
<name>
<surname>Hall</surname> <given-names>J.</given-names>
</name>
</person-group> (<year>2003</year>). <article-title>Seasonal and spatial variation of phytoplankton assemblages, biomass and cell size from spring to summer across the north-eastern New Zealand continental shelf</article-title>. <source>J. Plankton Res.</source> <volume>25</volume> (<issue>7</issue>), <fpage>737</fpage>&#x2013;<lpage>758</lpage>. doi: <pub-id pub-id-type="doi">10.1093/plankt/25.7.737</pub-id>
</citation>
</ref>
<ref id="B12">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Chiswell</surname> <given-names>S. M.</given-names>
</name>
<name>
<surname>Bradford-Grieve</surname> <given-names>J.</given-names>
</name>
<name>
<surname>Hadfield</surname> <given-names>M. G.</given-names>
</name>
<name>
<surname>Kennan</surname> <given-names>S. C.</given-names>
</name>
</person-group> (<year>2013</year>). <article-title>Climatology of surface chlorophyll a, autumn-winter and spring blooms in the southwest Pacific Ocean</article-title>. <source>J. Geophysical Research: Oceans</source> <volume>118</volume> (<issue>2</issue>), <fpage>1003</fpage>&#x2013;<lpage>1018</lpage>. doi: <pub-id pub-id-type="doi">10.1002/jgrc.20088</pub-id>
</citation>
</ref>
<ref id="B13">
<citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname>Clark</surname> <given-names>D.</given-names>
</name>
</person-group> (<year>1997</year>). &#x201c;<article-title>Bio-optical algorithms&#x2014;Case 1 waters</article-title>,&#x201d; in <source>MODIS algorithm theoretical Basis Document (MOD-ATBD-18), National Oceanic and Atmospheric Administration</source> (<publisher-loc>Washington DC</publisher-loc>: <publisher-name>National Environmental Satellite Service</publisher-name>).</citation>
</ref>
<ref id="B14">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Cloern</surname> <given-names>J. E.</given-names>
</name>
<name>
<surname>Foster</surname> <given-names>S.</given-names>
</name>
<name>
<surname>Kleckner</surname> <given-names>A.</given-names>
</name>
</person-group> (<year>2014</year>). <article-title>Phytoplankton primary production in the world&#x2019;s estuarine-coastal ecosystems</article-title>. <source>Biogeosciences</source> <volume>11</volume> (<issue>9</issue>), <fpage>2477</fpage>&#x2013;<lpage>2501</lpage>. doi: <pub-id pub-id-type="doi">10.5194/bg-11-2477-2014</pub-id>
</citation>
</ref>
<ref id="B15">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Cornec</surname> <given-names>M.</given-names>
</name>
<name>
<surname>Claustre</surname> <given-names>H.</given-names>
</name>
<name>
<surname>Mignot</surname> <given-names>A.</given-names>
</name>
<name>
<surname>Guidi</surname> <given-names>L.</given-names>
</name>
<name>
<surname>Lacour</surname> <given-names>L.</given-names>
</name>
<name>
<surname>Poteau</surname> <given-names>A.</given-names>
</name>
<etal/>
</person-group>. (<year>2021</year>). <article-title>Deep Chlorophyll Maxima in the global ocean: occurrences, drivers and characteristics</article-title>. <source>Global Biogeochemical Cycles</source> <volume>35</volume> (<issue>4</issue>), <elocation-id>e2020GB006759</elocation-id>. doi: <pub-id pub-id-type="doi">10.1029/2020GB006759</pub-id>
</citation>
</ref>
<ref id="B16">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Cullen</surname> <given-names>J. J.</given-names>
</name>
<name>
<surname>Franks</surname> <given-names>P. J.</given-names>
</name>
<name>
<surname>Karl</surname> <given-names>D. M.</given-names>
</name>
<name>
<surname>Longhurst</surname> <given-names>A.</given-names>
</name>
</person-group> (<year>2002</year>). <article-title>Physical influences on marine ecosystem dynamics</article-title>. edited by Allan R. Robinson, James J. McCarthy, and Brian J. Rothschild. (John Wiley &amp; Sons, Inc., New York) <source>The Sea</source> <volume>12</volume>, <fpage>297</fpage>&#x2013;<lpage>336</lpage>.</citation>
</ref>
<ref id="B17">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Dekshenieks</surname> <given-names>M. M.</given-names>
</name>
<name>
<surname>Donaghay</surname> <given-names>P. L.</given-names>
</name>
<name>
<surname>Sullivan</surname> <given-names>J. M.</given-names>
</name>
<name>
<surname>Rines</surname> <given-names>J. E.</given-names>
</name>
<name>
<surname>Osborn</surname> <given-names>T. R.</given-names>
</name>
<name>
<surname>Twardowski</surname> <given-names>M. S.</given-names>
</name>
</person-group> (<year>2001</year>). <article-title>Temporal and spatial occurrence of thin phytoplankton layers in relation to physical processes</article-title>. <source>Mar. Ecol. Prog. Ser.</source> <volume>223</volume>, <fpage>61</fpage>&#x2013;<lpage>71</lpage>. doi: <pub-id pub-id-type="doi">10.3354/meps223061</pub-id>
</citation>
</ref>
<ref id="B18">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Dickey</surname> <given-names>T.</given-names>
</name>
<name>
<surname>Lewis</surname> <given-names>M.</given-names>
</name>
<name>
<surname>Chang</surname> <given-names>G.</given-names>
</name>
</person-group> (<year>2006</year>). <article-title>Optical oceanography: recent advances and future directions using global remote sensing and <italic>in situ</italic> observations</article-title>. <source>Rev. Geophysics</source> <volume>44</volume> (<issue>1</issue>), <fpage>1</fpage>&#x2013;<lpage>39</lpage>. doi: <pub-id pub-id-type="doi">10.1029/2003RG000148</pub-id>
</citation>
</ref>
<ref id="B19">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Du Clos</surname> <given-names>K. T.</given-names>
</name>
<name>
<surname>Karp-Boss</surname> <given-names>L.</given-names>
</name>
<name>
<surname>Gemmell</surname> <given-names>B. J.</given-names>
</name>
</person-group> (<year>2021</year>). <article-title>Diatoms rapidly alter sinking behavior in response to changing nutrient concentrations</article-title>. <source>Limnology Oceanography</source> <volume>66</volume> (<issue>3</issue>), <fpage>892</fpage>&#x2013;<lpage>900</lpage>. doi: <pub-id pub-id-type="doi">10.1002/lno.11649</pub-id>
</citation>
</ref>
<ref id="B20">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Eppley</surname> <given-names>R. W.</given-names>
</name>
<name>
<surname>Rogers</surname> <given-names>J. N.</given-names>
</name>
<name>
<surname>McCarthy</surname> <given-names>J. J.</given-names>
</name>
</person-group> (<year>1969</year>). <article-title>Half-saturation constants for uptake of nitrate and ammonium by marine phytoplankton</article-title>. <source>Limnography Oceanography</source> <volume>14</volume> (<issue>9</issue>), <fpage>912</fpage>&#x2013;<lpage>920</lpage>. doi: <pub-id pub-id-type="doi">10.4319/lo.1969.14.6.0912</pub-id>
</citation>
</ref>
<ref id="B21">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Fernand</surname> <given-names>L.</given-names>
</name>
<name>
<surname>Weston</surname> <given-names>K.</given-names>
</name>
<name>
<surname>Morris</surname> <given-names>T.</given-names>
</name>
<name>
<surname>Greenwood</surname> <given-names>N.</given-names>
</name>
<name>
<surname>Brown</surname> <given-names>J.</given-names>
</name>
<name>
<surname>Jickells</surname> <given-names>T.</given-names>
</name>
</person-group> (<year>2013</year>). <article-title>The contribution of the deep chlorophyll maximum to primary production in a seasonally stratified shelf sea, the North Sea</article-title>. <source>Biogeochemistry</source> <volume>113</volume> (<issue>1</issue>), <fpage>153</fpage>&#x2013;<lpage>166</lpage>. doi: <pub-id pub-id-type="doi">10.1007/s10533-013-9831-7</pub-id>
</citation>
</ref>
<ref id="B22">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Gall</surname> <given-names>M. P.</given-names>
</name>
<name>
<surname>Hawes</surname> <given-names>I.</given-names>
</name>
<name>
<surname>Boyd</surname> <given-names>P. W.</given-names>
</name>
</person-group> (<year>1999</year>). <article-title>Predicting rates of primary production in the vicinity of the Subtropical Convergence east of New Zealand</article-title>. <source>New Z. J. Mar. Freshw. Res.</source> <volume>33</volume> (<issue>3</issue>), <fpage>443</fpage>&#x2013;<lpage>455</lpage>. doi: <pub-id pub-id-type="doi">10.1080/00288330.1999.9516890</pub-id>
</citation>
</ref>
<ref id="B23">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Gall</surname> <given-names>M. P.</given-names>
</name>
<name>
<surname>Pinkerton</surname> <given-names>M. H.</given-names>
</name>
<name>
<surname>Steinmetz</surname> <given-names>T.</given-names>
</name>
<name>
<surname>Wood</surname> <given-names>S.</given-names>
</name>
</person-group> (<year>2022</year>). <article-title>Satellite remote sensing of coastal water quality in New Zealand</article-title>. <source>New Z. J. Mar. Freshw. Res.</source> <volume>56</volume> (<issue>3</issue>), <fpage>585</fpage>&#x2013;<lpage>616</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1080/00288330.2022.2113410</pub-id>
</citation>
</ref>
<ref id="B24">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Gall</surname> <given-names>M.</given-names>
</name>
<name>
<surname>Zeldis</surname> <given-names>J.</given-names>
</name>
</person-group> (<year>2011</year>). <article-title>Phytoplankton biomass and primary production responses to physico-chemical forcing across the northeastern New Zealand continental shelf</article-title>. <source>Continental Shelf Res.</source> <volume>31</volume> (<issue>17</issue>), <fpage>1799</fpage>&#x2013;<lpage>1810</lpage>. doi: <pub-id pub-id-type="doi">10.1016/j.csr.2011.06.003</pub-id>
</citation>
</ref>
<ref id="B25">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Geider</surname> <given-names>R. J.</given-names>
</name>
<name>
<surname>MacIntyre</surname> <given-names>H. L.</given-names>
</name>
<name>
<surname>Kana</surname> <given-names>T. M.</given-names>
</name>
</person-group> (<year>1998</year>). <article-title>A dynamic regulatory model of phytoplanktonic acclimation to light, nutrients, and temperature</article-title>. <source>Limnology Oceanography</source> <volume>43</volume> (<issue>4</issue>), <fpage>679</fpage>&#x2013;<lpage>694</lpage>. doi: <pub-id pub-id-type="doi">10.4319/lo.1998.43.4.0679</pub-id>
</citation>
</ref>
<ref id="B26">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Graff</surname> <given-names>J. R.</given-names>
</name>
<name>
<surname>Westberry</surname> <given-names>T. K.</given-names>
</name>
<name>
<surname>Milligan</surname> <given-names>A. J.</given-names>
</name>
<name>
<surname>Brown</surname> <given-names>M. B.</given-names>
</name>
<name>
<surname>Dall&#x2019;Olmo</surname> <given-names>G.</given-names>
</name>
<name>
<surname>van Dongen-Vogels</surname> <given-names>V.</given-names>
</name>
<etal/>
</person-group>. (<year>2015</year>). <article-title>Analytical phytoplankton carbon measurements spanning diverse ecosystems</article-title>. <source>Deep Sea Res. Part I: Oceanographic Res. Papers</source> <volume>102</volume>, <fpage>16</fpage>&#x2013;<lpage>25</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1016/j.dsr.2015.04.006</pub-id>
</citation>
</ref>
<ref id="B27">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Gregg</surname> <given-names>W. W.</given-names>
</name>
<name>
<surname>Casey</surname> <given-names>N. W.</given-names>
</name>
<name>
<surname>McClain</surname> <given-names>C. R.</given-names>
</name>
</person-group> (<year>2005</year>). <article-title>Recent trends in global ocean chlorophyll</article-title>. <source>Geophysical Res. Lett.</source> <volume>32</volume> (<issue>3</issue>), <fpage>1</fpage>&#x2013;<lpage>5</lpage>. doi: <pub-id pub-id-type="doi">10.1029/2004GL021808</pub-id>
</citation>
</ref>
<ref id="B28">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Groom</surname> <given-names>S.</given-names>
</name>
<name>
<surname>Sathyendranath</surname> <given-names>S.</given-names>
</name>
<name>
<surname>Ban</surname> <given-names>Y.</given-names>
</name>
<name>
<surname>Bernard</surname> <given-names>S.</given-names>
</name>
<name>
<surname>Brewin</surname> <given-names>B.</given-names>
</name>
<name>
<surname>Brotas</surname> <given-names>V.</given-names>
</name>
<etal/>
</person-group>. (<year>2019</year>). <article-title>Satellite ocean colour: current status and future perspective</article-title>. <source>Front. Mar. Sci.</source> <volume>6</volume> (<issue>485</issue>), <elocation-id>1</elocation-id>&#x2013;<lpage>30</lpage>. doi: <pub-id pub-id-type="doi">10.3389/fmars.2019.00485</pub-id>
</citation>
</ref>
<ref id="B29">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Guallar</surname> <given-names>C.</given-names>
</name>
<name>
<surname>Flos</surname> <given-names>J.</given-names>
</name>
</person-group> (<year>2017</year>). <article-title>Enhanced primary production in summer and winter-spring seasons in a populated NW Mediterranean coastal ecosystem</article-title>. <source>J. Sea Res.</source> <volume>120</volume>, <fpage>1</fpage>&#x2013;<lpage>12</lpage>. doi: <pub-id pub-id-type="doi">10.1016/j.seares.2016.10.009</pub-id>
</citation>
</ref>
<ref id="B30">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Hall</surname> <given-names>J. A.</given-names>
</name>
<name>
<surname>Safi</surname> <given-names>K.</given-names>
</name>
<name>
<surname>James</surname> <given-names>M. R.</given-names>
</name>
<name>
<surname>Zeldis</surname> <given-names>J.</given-names>
</name>
<name>
<surname>Weatherhead</surname> <given-names>M.</given-names>
</name>
</person-group>. (<year>2006</year>). <article-title>Microbial assemblage during the spring-summer transition on the northeast continental shelf of New Zealand</article-title>. <source>New Zealand Journal of Marine and Freshwater Research</source> <volume>40</volume>, <fpage>195</fpage>&#x2013;<lpage>210</lpage>.</citation>
</ref>
<ref id="B31">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Harding</surname> <given-names>L. W.</given-names> <suffix>Jr</suffix>
</name>
<name>
<surname>Mallonee</surname> <given-names>M. E.</given-names>
</name>
<name>
<surname>Perry</surname> <given-names>E. S.</given-names>
</name>
<name>
<surname>David Miller</surname> <given-names>W.</given-names>
</name>
<name>
<surname>Adolf</surname> <given-names>J. E.</given-names>
</name>
<name>
<surname>Gallegos</surname> <given-names>C. L.</given-names>
</name>
<etal/>
</person-group>. (<year>2020</year>). <article-title>Seasonal to inter-annual variability of primary production in Chesapeake Bay: prospects to reverse eutrophication and change trophic classification</article-title>. <source>Scientific Reports</source> <volume>10</volume> (<issue>1</issue>), <fpage>2019</fpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1038/s41598-020-58702-3</pub-id>
</citation>
</ref>
<ref id="B32">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Holm-Hansen</surname> <given-names>O.</given-names>
</name>
<name>
<surname>Lorenzen</surname> <given-names>C. J.</given-names>
</name>
<name>
<surname>Holmes</surname> <given-names>R. W.</given-names>
</name>
<name>
<surname>Strickland</surname> <given-names>J. D. H.</given-names>
</name>
</person-group> (<year>1965</year>). <article-title>Fluorometric determination of chlorophyll</article-title>. <source>J. du Conseil</source> <volume>30</volume> (<issue>1</issue>), <fpage>3</fpage>. doi: <pub-id pub-id-type="doi">10.1093/icesjms/30.1.3</pub-id>
</citation>
</ref>
<ref id="B33">
<citation citation-type="book">
<person-group person-group-type="author">
<collab>IOCCG</collab>
</person-group> (<year>2000</year>). &#x201c;<article-title>Remote sensing of ocean colour in coastal, and other optically-complex, waters</article-title>,&#x201d; in <source>Reports of the International Ocean-colour Coordinating Group</source>. Ed. <person-group person-group-type="editor">
<name>
<surname>Sathyendranath</surname> <given-names>S.</given-names>
</name>
</person-group> (<publisher-loc>Dartmouth, Canada</publisher-loc>: <publisher-name>IOCCG</publisher-name>), <fpage>140</fpage>.</citation>
</ref>
<ref id="B34">
<citation citation-type="book">
<person-group person-group-type="author">
<collab>IOCCG</collab>
</person-group> (<year>2006</year>). &#x201c;<article-title>Remote sensing of inherent optical properties: fundamentals, tests of algorithms, and applications</article-title>,&#x201d; in <source>Reports of the International Ocean-Colour Coordinating Group</source>. Ed. <person-group person-group-type="editor">
<name>
<surname>Lee</surname> <given-names>Z. P.</given-names>
</name>
</person-group> (<publisher-loc>Dartmouth, Canada</publisher-loc>: <publisher-name>IOCCG</publisher-name>), <fpage>126</fpage>.</citation>
</ref>
<ref id="B35">
<citation citation-type="book">
<person-group person-group-type="author">
<collab>IOCCG</collab>
</person-group> (<year>2018</year>). &#x201c;<article-title>Earth observations in support of global water quality monitoring</article-title>,&#x201d; in <source>Reports and Monographs of the International Ocean Colour Coordinating Group</source>. Eds. <person-group person-group-type="editor">
<name>
<surname>Greb</surname> <given-names>S.</given-names>
</name>
<name>
<surname>Dekker</surname> <given-names>A.</given-names>
</name>
<name>
<surname>Binding</surname> <given-names>C.</given-names>
</name>
</person-group> (<publisher-loc>Dartmouth, Canada</publisher-loc>: <publisher-name>IOCCG</publisher-name>), <fpage>125</fpage>.</citation>
</ref>
<ref id="B36">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Jakobsen</surname> <given-names>H. H.</given-names>
</name>
<name>
<surname>Markager</surname> <given-names>S.</given-names>
</name>
</person-group> (<year>2016</year>). <article-title>Carbon-to-chlorophyll ratio for phytoplankton in temperate coastal waters: Seasonal patterns and relationship to nutrients</article-title>. <source>Limnology Oceanography</source> <volume>61</volume> (<issue>5</issue>), <fpage>1853</fpage>&#x2013;<lpage>1868</lpage>. doi: <pub-id pub-id-type="doi">10.1002/lno.10338</pub-id>
</citation>
</ref>
<ref id="B37">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Jia</surname> <given-names>T.</given-names>
</name>
<name>
<surname>Zhang</surname> <given-names>Y.</given-names>
</name>
<name>
<surname>Dong</surname> <given-names>R.</given-names>
</name>
</person-group> (<year>2021</year>). <article-title>A universal fuzzy logic optical water type scheme for the global oceans</article-title>. <source>Remote Sens.</source> <volume>13</volume> (<issue>19</issue>), <fpage>4018</fpage>&#x2013;<lpage>4047</lpage>. doi: <pub-id pub-id-type="doi">10.3390/rs13194018</pub-id>
</citation>
</ref>
<ref id="B38">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Kahru</surname> <given-names>M.</given-names>
</name>
<name>
<surname>Kudela</surname> <given-names>R.</given-names>
</name>
<name>
<surname>Manzano-Sarabia</surname> <given-names>M.</given-names>
</name>
<name>
<surname>Mitchell</surname> <given-names>B. G.</given-names>
</name>
</person-group> (<year>2009</year>). <article-title>Trends in primary production in the California Current detected with satellite data</article-title>. <source>J. Geophysical Research: Oceans</source> <volume>114</volume>, <fpage>C02004</fpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1029/2008JC004979</pub-id>
</citation>
</ref>
<ref id="B39">
<citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname>Kassambara</surname> <given-names>A.</given-names>
</name>
</person-group> (<year>2020</year>). <source>ggpubr:&#x201d;ggplot2&#x201d; based publication ready plots</source> (<publisher-name>R package version 0.4. 0</publisher-name>), <fpage>438</fpage>. Available at: <uri xlink:href="https://cran.r-project.org/">https://cran.r-project.org/</uri>.</citation>
</ref>
<ref id="B40">
<citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname>Kelly</surname> <given-names>S.</given-names>
</name>
<name>
<surname>Sim-Smith</surname> <given-names>C.</given-names>
</name>
<name>
<surname>Lee</surname> <given-names>S.</given-names>
</name>
</person-group> (<year>2020</year>). <source>State of our Gulf 2020: Hauraki Gulf-tikapa Moana/te Moananui a Toi State of the Environment Report 2020</source> (<publisher-loc>Auckland Council</publisher-loc>: <publisher-name>Hauraki Gulf Forum</publisher-name>).</citation>
</ref>
<ref id="B41">
<citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname>Kirk</surname> <given-names>J. T. O.</given-names>
</name>
</person-group> (<year>2011</year>). <source>Light and photosynthesis in aquatic ecosystems</source> (<publisher-loc>Cambridge</publisher-loc>: <publisher-name>Cambridge University Press</publisher-name>).</citation>
</ref>
<ref id="B42">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Kishino</surname> <given-names>M.</given-names>
</name>
<name>
<surname>Takahashi</surname> <given-names>M.</given-names>
</name>
<name>
<surname>Okami</surname> <given-names>N.</given-names>
</name>
<name>
<surname>Ichimura</surname> <given-names>S.</given-names>
</name>
</person-group> (<year>1985</year>). <article-title>Estimation of the spectral absorption coefficients of phytoplankton in the sea</article-title>. <source>Bull. Mar. Sci.</source> <volume>37</volume> (<issue>2</issue>), <fpage>634</fpage>&#x2013;<lpage>642</lpage>.</citation>
</ref>
<ref id="B43">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Kulk</surname> <given-names>G.</given-names>
</name>
<name>
<surname>Platt</surname> <given-names>T.</given-names>
</name>
<name>
<surname>Dingle</surname> <given-names>J.</given-names>
</name>
<name>
<surname>Jackson</surname> <given-names>T.</given-names>
</name>
<name>
<surname>J&#xf6;nsson</surname> <given-names>B. F.</given-names>
</name>
<name>
<surname>Bouman</surname> <given-names>H. A.</given-names>
</name>
<etal/>
</person-group>. (<year>2020</year>). <article-title>Primary production, an index of climate change in the ocean: satellite-based estimates over two decades</article-title>. <source>Remote Sens.</source> <volume>12</volume> (<issue>5</issue>), <fpage>826</fpage>. doi: <pub-id pub-id-type="doi">10.3390/rs12050826</pub-id>
</citation>
</ref>
<ref id="B44">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Lee</surname> <given-names>Z. P.</given-names>
</name>
<name>
<surname>Darecki</surname> <given-names>M.</given-names>
</name>
<name>
<surname>Carder</surname> <given-names>K. L.</given-names>
</name>
<name>
<surname>Davis</surname> <given-names>C. O.</given-names>
</name>
<name>
<surname>Stramski</surname> <given-names>D.</given-names>
</name>
<name>
<surname>Rhea</surname> <given-names>W. J.</given-names>
</name>
</person-group> (<year>2005</year>). <article-title>Diffuse attenuation coefficient of downwelling irradiance: An evaluation of remote sensing methods</article-title>. <source>J. Geophysical Research-Oceans</source> <volume>110</volume> (<issue>C2</issue>), <fpage>1</fpage>&#x2013;<lpage>9</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1029/2004jc002573</pub-id>
</citation>
</ref>
<ref id="B45">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Lee</surname> <given-names>Z. P.</given-names>
</name>
<name>
<surname>Weidemann</surname> <given-names>A.</given-names>
</name>
<name>
<surname>Kindle</surname> <given-names>J.</given-names>
</name>
<name>
<surname>Arnone</surname> <given-names>R.</given-names>
</name>
<name>
<surname>Carder</surname> <given-names>K. L.</given-names>
</name>
<name>
<surname>Davis</surname> <given-names>C.</given-names>
</name>
</person-group> (<year>2007</year>). <article-title>Euphotic zone depth: Its derivation and implication to ocean-color remote sensing</article-title>. <source>J. Geophysical Research-Oceans</source> <volume>112</volume> (<issue>C3</issue>), <fpage>C03009</fpage>. doi: <pub-id pub-id-type="doi">10.1029/2006JC003802</pub-id>
</citation>
</ref>
<ref id="B46">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Lehmann</surname> <given-names>M. K.</given-names>
</name>
<name>
<surname>Nguyen</surname> <given-names>U.</given-names>
</name>
<name>
<surname>Allan</surname> <given-names>M.</given-names>
</name>
<name>
<surname>van der Woerd</surname> <given-names>H. J.</given-names>
</name>
</person-group> (<year>2018</year>). <article-title>Colour classification of 1486 lakes across a wide range of optical water types</article-title>. <source>Remote Sens.</source> <volume>10</volume> (<issue>8</issue>), <fpage>1273</fpage>. doi: <pub-id pub-id-type="doi">10.3390/rs10081273</pub-id>
</citation>
</ref>
<ref id="B47">
<citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname>Levitus</surname> <given-names>S.</given-names>
</name>
</person-group> (<year>1982</year>). <source>Climatological Atlas of the World Ocean</source> (<publisher-name>US Department of Commerce, National Oceanic and Atmospheric Administration</publisher-name>), vol <fpage>13</fpage>.</citation>
</ref>
<ref id="B48">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Li</surname> <given-names>W.</given-names>
</name>
<name>
<surname>Tiwari</surname> <given-names>S. P.</given-names>
</name>
<name>
<surname>El-Askary</surname> <given-names>H. M.</given-names>
</name>
<name>
<surname>Qurban</surname> <given-names>M. A.</given-names>
</name>
<name>
<surname>Amiridis</surname> <given-names>V.</given-names>
</name>
<name>
<surname>Manikandan</surname> <given-names>K. P.</given-names>
</name>
<etal/>
</person-group>. (<year>2020</year>). <article-title>Synergistic Use of Remote Sensing and Modeling for Estimating Net Primary Productivity in the Red Sea With VGPM, Eppley-VGPM, and CbPM Models Intercomparison</article-title>. <source>IEEE Trans. Geosci. Remote Sens.</source> <volume>58</volume> (<issue>12</issue>), <fpage>8717</fpage>&#x2013;<lpage>8734</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1109/TGRS.2020.2990373</pub-id>
</citation>
</ref>
<ref id="B49">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Longhurst</surname> <given-names>A.</given-names>
</name>
<name>
<surname>Sathyendranath</surname> <given-names>S.</given-names>
</name>
<name>
<surname>Platt</surname> <given-names>T.</given-names>
</name>
<name>
<surname>Caverhill</surname> <given-names>C.</given-names>
</name>
</person-group> (<year>1995</year>). <article-title>An estimate of global primary production in the ocean from satellite radiometer data</article-title>. <source>J. Plankton Res.</source> <volume>17</volume> (<issue>6</issue>), <fpage>1245</fpage>&#x2013;<lpage>1271</lpage>. doi: <pub-id pub-id-type="doi">10.1093/plankt/17.6.1245</pub-id>
</citation>
</ref>
<ref id="B50">
<citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname>MacDiarmid</surname> <given-names>A. B.</given-names>
</name>
<name>
<surname>Law</surname> <given-names>C. S.</given-names>
</name>
<name>
<surname>Pinkerton</surname> <given-names>M.</given-names>
</name>
<name>
<surname>Zeldis</surname> <given-names>J.</given-names>
</name>
</person-group> (<year>2013</year>). &#x201c;<article-title>New Zealand marine ecosystem services</article-title>,&#x201d; in <source>Ecosystem Services in New Zealand&#x2013;Conditions and Trends.</source> (<publisher-loc>Lincoln, New Zealand</publisher-loc>: <publisher-name>Manaaki Whenua Press</publisher-name>), <fpage>238</fpage>&#x2013;<lpage>253</lpage>.</citation>
</ref>
<ref id="B51">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>MacIntyre</surname> <given-names>H. L.</given-names>
</name>
<name>
<surname>Kana</surname> <given-names>T. M.</given-names>
</name>
<name>
<surname>Anning</surname> <given-names>T.</given-names>
</name>
<name>
<surname>Geider</surname> <given-names>R. J.</given-names>
</name>
</person-group> (<year>2002</year>). <article-title>Photoacclimation of photosynthesis irradiance response curves and photosynthetic pigments in microalgae and cyanobacteria</article-title>. <source>J. Phycology</source> <volume>38</volume> (<issue>1</issue>), <fpage>17</fpage>&#x2013;<lpage>38</lpage>. doi: <pub-id pub-id-type="doi">10.1046/j.1529-8817.2002.00094.x</pub-id>
</citation>
</ref>
<ref id="B52">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>MacKenzie</surname> <given-names>L.</given-names>
</name>
<name>
<surname>Adamson</surname> <given-names>J.</given-names>
</name>
</person-group> (<year>2004</year>). <article-title>Water column stratification and the spatial and temporal distribution of phytoplankton biomass in Tasman Bay, New Zealand: implications for aquaculture</article-title>. <source>New Z. J. Mar. Freshw. Res.</source> <volume>38</volume> (<issue>4</issue>), <fpage>705</fpage>&#x2013;<lpage>728</lpage>. doi: <pub-id pub-id-type="doi">10.1080/00288330.2004.9517271</pub-id>
</citation>
</ref>
<ref id="B53">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Mahjabin</surname> <given-names>T.</given-names>
</name>
<name>
<surname>Pattiaratchi</surname> <given-names>C.</given-names>
</name>
<name>
<surname>Hetzel</surname> <given-names>Y.</given-names>
</name>
</person-group> (<year>2020</year>). <article-title>Occurrence and seasonal variability of Dense Shelf Water Cascades along Australian continental shelves</article-title>. <source>Sci. Rep.</source> <volume>10</volume> (<issue>1</issue>), <fpage>1</fpage>&#x2013;<lpage>13</lpage>. doi: <pub-id pub-id-type="doi">10.1038/s41598-020-66711-5</pub-id>
</citation>
</ref>
<ref id="B54">
<citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname>McBride</surname> <given-names>G.</given-names>
</name>
<name>
<surname>Reeve</surname> <given-names>G.</given-names>
</name>
<name>
<surname>Pritchard</surname> <given-names>M.</given-names>
</name>
<name>
<surname>Lundquist</surname> <given-names>C.</given-names>
</name>
<name>
<surname>Daigneault</surname> <given-names>A.</given-names>
</name>
<name>
<surname>Bell</surname> <given-names>R.</given-names>
</name>
<etal/>
</person-group>. (<year>2016</year>). <article-title>The Firth of Thames and Lower Waihou River</article-title>. <source>Synthesis Report RA2, Coastal Case Study. Climate Changes, Impacts and Implications (CCII) for New Zealand to 2100</source>. MBIE contract C01X1225. <fpage>50</fpage>pp.</citation>
</ref>
<ref id="B55">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>McClain</surname> <given-names>C. R.</given-names>
</name>
</person-group> (<year>2009</year>). <article-title>A decade of satellite ocean color observations</article-title>. <source>Annu. Rev. Mar. Sci.</source> <volume>1</volume>, <fpage>19</fpage>&#x2013;<lpage>42</lpage>. doi: <pub-id pub-id-type="doi">10.1146/annurev.marine.010908.163650</pub-id>
</citation>
</ref>
<ref id="B56">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>M&#xe9;lin</surname> <given-names>F.</given-names>
</name>
<name>
<surname>Vantrepotte</surname> <given-names>V.</given-names>
</name>
</person-group> (<year>2015</year>). <article-title>How optically diverse is the coastal ocean</article-title>? <source>Remote Sens. Environ.</source> <volume>160</volume>, <fpage>235</fpage>&#x2013;<lpage>251</lpage>. doi: doi:&#xa0;<pub-id pub-id-type="doi">10.1016/j.rse.2015.01.023</pub-id>
</citation>
</ref>
<ref id="B57">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Mobley</surname> <given-names>C.</given-names>
</name>
<name>
<surname>Stramski</surname> <given-names>D.</given-names>
</name>
<name>
<surname>Bissett</surname> <given-names>W.</given-names>
</name>
<name>
<surname>Boss</surname> <given-names>E.</given-names>
</name>
</person-group> (<year>2004</year>). <article-title>Optical modeling of ocean waters: is the case 1-case 2 classification still useful</article-title>? <source>OCEANOGRAPHY-WASHINGTON DC-OCEANOGRAPHY SOCIETY-</source> <volume>17</volume> (<issue>2</issue>), <fpage>60</fpage>&#x2013;<lpage>67</lpage>. doi: <pub-id pub-id-type="doi">10.5670/oceanog.2004.48</pub-id>
</citation>
</ref>
<ref id="B58">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Moeller</surname> <given-names>H. V.</given-names>
</name>
<name>
<surname>Laufk&#xf6;tter</surname> <given-names>C.</given-names>
</name>
<name>
<surname>Sweeney</surname> <given-names>E. M.</given-names>
</name>
<name>
<surname>Johnson</surname> <given-names>M. D.</given-names>
</name>
</person-group> (<year>2019</year>). <article-title>Light-dependent grazing can drive formation and deepening of deep chlorophyll maxima</article-title>. <source>Nat. Commun.</source> <volume>10</volume> (<issue>1</issue>), <fpage>1</fpage>&#x2013;<lpage>8</lpage>. doi: <pub-id pub-id-type="doi">10.1038/s41467-019-09591-2</pub-id>
</citation>
</ref>
<ref id="B59">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Moore</surname> <given-names>T. S.</given-names>
</name>
<name>
<surname>Dowell</surname> <given-names>M. D.</given-names>
</name>
<name>
<surname>Bradt</surname> <given-names>S.</given-names>
</name>
<name>
<surname>Verdu</surname> <given-names>A. R.</given-names>
</name>
</person-group> (<year>2014</year>). <article-title>An optical water type framework for selecting and blending retrievals from bio-optical algorithms in lakes and coastal waters</article-title>. <source>Remote Sens. Environ.</source> <volume>143</volume>, <fpage>97</fpage>&#x2013;<lpage>111</lpage>. doi: <pub-id pub-id-type="doi">10.1016/j.rse.2013.11.021</pub-id>
</citation>
</ref>
<ref id="B60">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Morel</surname> <given-names>A.</given-names>
</name>
<name>
<surname>Berthon</surname> <given-names>J.-F.</given-names>
</name>
</person-group> (<year>1989</year>). <article-title>Surface pigments, algal biomass profiles, and potential production of the euphotic layer: Relationships reinvestigated in view of remote sensing</article-title>. <source>Limnology Oceanography</source> <volume>34</volume> (<issue>8</issue>), <fpage>1545</fpage>&#x2013;<lpage>1562</lpage>. doi: <pub-id pub-id-type="doi">10.4319/lo.1989.34.8.1545</pub-id>
</citation>
</ref>
<ref id="B61">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Morel</surname> <given-names>A.</given-names>
</name>
<name>
<surname>Claustre</surname> <given-names>H.</given-names>
</name>
<name>
<surname>Antoine</surname> <given-names>D.</given-names>
</name>
<name>
<surname>Gentili</surname> <given-names>B.</given-names>
</name>
</person-group> (<year>2007</year>). <article-title>Natural variability of bio-optical properties in Case 1 waters: attenuation and reflectance within the visible and near-UV spectral domains, as observed in South Pacific and Mediterranean waters</article-title>. <source>Biogeosciences Discussions</source> <volume>4</volume> (<issue>4</issue>), <fpage>2147</fpage>&#x2013;<lpage>2178</lpage>. doi: <pub-id pub-id-type="doi">10.5194/bg-4-913-2007</pub-id>
</citation>
</ref>
<ref id="B62">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Morel</surname> <given-names>A.</given-names>
</name>
<name>
<surname>Prieur</surname> <given-names>L.</given-names>
</name>
</person-group> (<year>1977</year>). <article-title>Analysis of variations in ocean color</article-title>. <source>Limnol. Oceanogr.</source> <volume>22</volume> (<issue>4</issue>), <fpage>709</fpage>&#x2013;<lpage>722</lpage>. doi: <pub-id pub-id-type="doi">10.4319/lo.1977.22.4.0709</pub-id>
</citation>
</ref>
<ref id="B63">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Nixon</surname> <given-names>S. W.</given-names>
</name>
</person-group> (<year>1995</year>). <article-title>Coastal marine eutrophication: a definition, social causes, and future concerns</article-title>. <source>Ophelia</source> <volume>41</volume> (<issue>1</issue>), <fpage>199</fpage>&#x2013;<lpage>219</lpage>. doi: <pub-id pub-id-type="doi">10.1080/00785236.1995.10422044</pub-id>
</citation>
</ref>
<ref id="B64">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>&#xd8;&#x2019;Callaghan</surname> <given-names>J. M.</given-names>
</name>
<name>
<surname>Stevens</surname> <given-names>C. L.</given-names>
</name>
</person-group> (<year>2017</year>). <article-title>Evaluating the surface response of discharge events in a New Zealand Gulf-ROFI</article-title>. <source>Front. Mar. Sci.</source> <volume>4</volume>, <elocation-id>232</elocation-id>. doi: <pub-id pub-id-type="doi">10.3389/fmars.2017.00232</pub-id>
</citation>
</ref>
<ref id="B65">
<citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname>Pinkerton</surname> <given-names>M.</given-names>
</name>
</person-group> (<year>2017</year>). <article-title>Satellite indicators of phytoplankton and ocean surface temperature for New Zealand</article-title>. <source>NIWA Client Report 2018180WN</source>. (<publisher-name>Prepared for the Ministry for the Environment</publisher-name>: <publisher-loc>Wellington, New Zealand</publisher-loc>), <fpage>1</fpage>&#x2013;<lpage>87</lpage>.</citation>
</ref>
<ref id="B66">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Pinkerton</surname> <given-names>M.</given-names>
</name>
<name>
<surname>Gall</surname> <given-names>M.</given-names>
</name>
<name>
<surname>Wood</surname> <given-names>S.</given-names>
</name>
<name>
<surname>Zeldis</surname> <given-names>J.</given-names>
</name>
</person-group> (<year>2018</year>). <article-title>Measuring the effects of bivalve mariculture on water quality in northern New Zealand using 15 years of MODIS-Aqua satellite observations</article-title>. <source>Aquaculture Environ. Interact.</source> <volume>10</volume>, <fpage>529</fpage>&#x2013;<lpage>545</lpage>. doi: <pub-id pub-id-type="doi">10.3354/aei00288</pub-id>
</citation>
</ref>
<ref id="B67">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Pinkerton</surname> <given-names>M. H.</given-names>
</name>
<name>
<surname>Moore</surname> <given-names>G. F.</given-names>
</name>
<name>
<surname>Lavender</surname> <given-names>S. J.</given-names>
</name>
<name>
<surname>Gall</surname> <given-names>M. P.</given-names>
</name>
<name>
<surname>Oubelkheir</surname> <given-names>K.</given-names>
</name>
<name>
<surname>Richardson</surname> <given-names>K. M.</given-names>
</name>
<etal/>
</person-group>. (<year>2006</year>). <article-title>A method for estimating inherent optical properties of New Zealand continental shelf waters from satellite ocean colour measurements</article-title>. <source>New Z. J. Mar. Freshw. Res.</source> <volume>40</volume> (<issue>2</issue>), <fpage>227</fpage>&#x2013;<lpage>247</lpage>. doi: <pub-id pub-id-type="doi">10.1080/00288330.2006.9517417</pub-id>
</citation>
</ref>
<ref id="B68">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Pinkerton</surname> <given-names>M. H.</given-names>
</name>
<name>
<surname>Sutton</surname> <given-names>P. J. H.</given-names>
</name>
<name>
<surname>Wood</surname> <given-names>S.</given-names>
</name>
</person-group> (<year>2019</year>). <article-title>Satellite indicators of phytoplankton and ocean surface temperature for New Zealand</article-title>. <source>Wellington: Ministry Environment</source>.</citation>
</ref>
<ref id="B69">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Prairie</surname> <given-names>J. C.</given-names>
</name>
<name>
<surname>Sutherland</surname> <given-names>K. R.</given-names>
</name>
<name>
<surname>Nickols</surname> <given-names>K. J.</given-names>
</name>
<name>
<surname>Kaltenberg</surname> <given-names>A. M.</given-names>
</name>
</person-group> (<year>2012</year>). <article-title>Biophysical interactions in the plankton: A cross-scale review</article-title>. <source>Limnology Oceanography: Fluids Environments</source> <volume>2</volume> (<issue>1</issue>), <fpage>121</fpage>&#x2013;<lpage>145</lpage>. doi: <pub-id pub-id-type="doi">10.1215/21573689-1964713</pub-id>
</citation>
</ref>
<ref id="B70">
<citation citation-type="web">
<person-group person-group-type="author">
<collab>QGIS</collab>
</person-group> (<year>2022</year>) <source>QGIS Geographic Infromation System. Open Source Geospatial Foundation Project</source>. Available at: <uri xlink:href="http://qgis.org">http://qgis.org</uri>.</citation>
</ref>
<ref id="B71">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Regaudie-de-Gioux</surname> <given-names>A.</given-names>
</name>
<name>
<surname>Huete-Ortega</surname> <given-names>M.</given-names>
</name>
<name>
<surname>Sobrino</surname> <given-names>C.</given-names>
</name>
<name>
<surname>L&#xf3;pez-Sandoval</surname> <given-names>D.</given-names>
</name>
<name>
<surname>Gonz&#xe1;lez</surname> <given-names>N.</given-names>
</name>
<name>
<surname>Fern&#xe1;ndez-Carrera</surname> <given-names>A.</given-names>
</name>
<etal/>
</person-group>. (<year>2019</year>). <article-title>Multi-model remote sensing assessment of primary production in the subtropical gyres</article-title>. <source>Journal of Marine Systems</source> <volume>196</volume>, <fpage>97</fpage>&#x2013;<lpage>106</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1016/j.jmarsys.2019.03.007</pub-id>
</citation>
</ref>
<ref id="B72">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Richardson</surname> <given-names>K.</given-names>
</name>
<name>
<surname>Bendtsen</surname> <given-names>J.</given-names>
</name>
</person-group> (<year>2019</year>). <article-title>Vertical distribution of phytoplankton and primary production in relation to nutricline depth in the open ocean</article-title>. <source>Mar. Ecol. Prog. Ser.</source> <volume>620</volume>, <fpage>33</fpage>&#x2013;<lpage>46</lpage>. doi: <pub-id pub-id-type="doi">10.3354/meps12960</pub-id>
</citation>
</ref>
<ref id="B73">
<citation citation-type="book">
<person-group person-group-type="author">
<collab>RStudio-Team</collab>
</person-group> (<year>2022</year>). <source>RStudio: Integrated Development Environment for R</source> (<publisher-loc>Boston, MA</publisher-loc>: <publisher-name>RStudio, PBC</publisher-name>). Available at: <uri xlink:href="http://www.rstudio.com/">http://www.rstudio.com/</uri>.</citation>
</ref>
<ref id="B74">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Safi</surname> <given-names>K.</given-names>
</name>
<name>
<surname>Zeldis</surname> <given-names>J.</given-names>
</name>
<name>
<surname>Tait</surname> <given-names>L.</given-names>
</name>
<name>
<surname>Robinson</surname> <given-names>C.</given-names>
</name>
<name>
<surname>Gall</surname> <given-names>M.</given-names>
</name>
<name>
<surname>Thompson</surname> <given-names>K.</given-names>
</name>
</person-group> (<year>2022</year>). <article-title>Microplankton interactions with decadal-scale nutrient enrichment in a deep estuary, with implications eutrophication - related ecosystem stressors</article-title>. <source>Estuar. Coasts</source> <volume>45</volume> (<issue>8</issue>), <fpage>2472</fpage>&#x2013;<lpage>2491</lpage>. doi: <pub-id pub-id-type="doi">10.1007/s12237-022-01099-1</pub-id>
</citation>
</ref>
<ref id="B75">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Saba</surname> <given-names>V. S.</given-names>
</name>
<name>
<surname>Friedrichs</surname> <given-names>M. A.</given-names>
</name>
<name>
<surname>Antoine</surname> <given-names>D.</given-names>
</name>
<name>
<surname>Armstrong</surname> <given-names>R. A.</given-names>
</name>
<name>
<surname>Asanuma</surname> <given-names>I.</given-names>
</name>
<name>
<surname>Behrenfeld</surname> <given-names>M. J.</given-names>
</name>
<etal/>
</person-group>. (<year>2011</year>). <article-title>An evaluation of ocean color model estimates of marine primary productivity in coastal and pelagic regions across the globe</article-title>. <source>Biogeosciences</source> <volume>8</volume> (<issue>2</issue>), <fpage>489</fpage>&#x2013;<lpage>503</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.5194/bg-8-489-2011</pub-id>
</citation>
</ref>
<ref id="B76">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Sathyendranath</surname> <given-names>S.</given-names>
</name>
<name>
<surname>Stuart</surname> <given-names>V.</given-names>
</name>
<name>
<surname>Nair</surname> <given-names>A.</given-names>
</name>
<name>
<surname>Oka</surname> <given-names>K.</given-names>
</name>
<name>
<surname>Nakane</surname> <given-names>T.</given-names>
</name>
<name>
<surname>Bouman</surname> <given-names>H.</given-names>
</name>
<etal/>
</person-group>. (<year>2009</year>). <article-title>Carbon-to-chlorophyll ratio and growth rate of phytoplankton in the sea</article-title>. <source>Mar. Ecol. Prog. Ser.</source> <volume>383</volume>, <fpage>73</fpage>&#x2013;<lpage>84</lpage>. doi: <pub-id pub-id-type="doi">10.3354/meps07998</pub-id>
</citation>
</ref>
<ref id="B77">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Saulquin</surname> <given-names>B.</given-names>
</name>
<name>
<surname>Hamdi</surname> <given-names>A.</given-names>
</name>
<name>
<surname>Gohin</surname> <given-names>F.</given-names>
</name>
<name>
<surname>Populus</surname> <given-names>J.</given-names>
</name>
<name>
<surname>Mangin</surname> <given-names>A.</given-names>
</name>
<name>
<surname>d&#x2019;Andon</surname> <given-names>O. F.</given-names>
</name>
</person-group> (<year>2013</year>). <article-title>Estimation of the diffuse attenuation coefficient K dPAR using MERIS and application to seabed habitat mapping</article-title>. <source>Remote Sens. Environ.</source> <volume>128</volume>, <fpage>224</fpage>&#x2013;<lpage>233</lpage>. doi: <pub-id pub-id-type="doi">10.1016/j.rse.2012.10.002</pub-id>
</citation>
</ref>
<ref id="B78">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Shang</surname> <given-names>S.</given-names>
</name>
<name>
<surname>Lee</surname> <given-names>Z.</given-names>
</name>
<name>
<surname>Wei</surname> <given-names>G.</given-names>
</name>
</person-group> (<year>2011</year>). <article-title>Characterization of MODIS-derived euphotic zone depth: Results for the China Sea</article-title>. <source>Remote Sens. Environ.</source> <volume>115</volume> (<issue>1</issue>), <fpage>180</fpage>&#x2013;<lpage>186</lpage>. doi: <pub-id pub-id-type="doi">10.1016/j.rse.2010.08.016</pub-id>
</citation>
</ref>
<ref id="B79">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Sharples</surname> <given-names>J.</given-names>
</name>
<name>
<surname>Greig</surname> <given-names>M. J. N.</given-names>
</name>
</person-group> (<year>1998</year>). <article-title>Tidal currents, mean flows, and upwelling on the north-east shelf of New Zealand</article-title>. <source>New Z. J. Mar. Freshw. Res.</source> <volume>32</volume> (<issue>2</issue>), <fpage>215</fpage>&#x2013;<lpage>231</lpage>. doi: <pub-id pub-id-type="doi">10.1080/00288330.1998.9516821</pub-id>
</citation>
</ref>
<ref id="B80">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Silsbe</surname> <given-names>G. M.</given-names>
</name>
<name>
<surname>Behrenfeld</surname> <given-names>M. J.</given-names>
</name>
<name>
<surname>Halsey</surname> <given-names>K. H.</given-names>
</name>
<name>
<surname>Milligan</surname> <given-names>A. J.</given-names>
</name>
<name>
<surname>Westberry</surname> <given-names>T. K.</given-names>
</name>
</person-group> (<year>2016</year>). <article-title>The CAFE model: A net production model for global ocean phytoplankton</article-title>. <source>Global Biogeochemical Cycles</source> <volume>30</volume> (<issue>12</issue>), <fpage>1756</fpage>&#x2013;<lpage>1777</lpage>. doi: <pub-id pub-id-type="doi">10.1002/2016GB005521</pub-id>
</citation>
</ref>
<ref id="B81">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Sommer</surname> <given-names>U.</given-names>
</name>
<name>
<surname>Charalampous</surname> <given-names>E.</given-names>
</name>
<name>
<surname>Genitsaris</surname> <given-names>S.</given-names>
</name>
<name>
<surname>Moustaka-Gouni</surname> <given-names>M.</given-names>
</name>
</person-group> (<year>2017</year>). <article-title>Benefits, costs and taxonomic distribution of marine phytoplankton body size</article-title>. <source>J. Plankton Res.</source> <volume>39</volume> (<issue>3</issue>), <fpage>494</fpage>&#x2013;<lpage>508</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1093/plankt/fbw071</pub-id>
</citation>
</ref>
<ref id="B82">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Stelmakh</surname> <given-names>L. V.</given-names>
</name>
<name>
<surname>Gorbunova</surname> <given-names>T. I.</given-names>
</name>
</person-group> (<year>2018</year>). <article-title>Carbon-to-chlorophyll-a ratio in the phytoplankton of the Black Sea surface layer: variability and regulatory factors</article-title>. <source>Ecologica Montenegrina</source> <volume>17</volume>, <fpage>60</fpage>&#x2013;<lpage>73</lpage>. doi: <pub-id pub-id-type="doi">10.37828/em.2018.17.8</pub-id>
</citation>
</ref>
<ref id="B83">
<citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname>Stelmakh</surname> <given-names>L. V.</given-names>
</name>
</person-group> (<year>2020</year>). <article-title>The organic carbon-to-chlorophyll ratio as a necessary parameter for estimating the Black Sea phytoplankton biomass from satellite data</article-title>. <source>In 26th International Symposium on Atmospheric and Ocean Optics, Atmospheric Physics</source> (<publisher-name>SPIE</publisher-name>) <volume>11560</volume>, <fpage>589</fpage>&#x2013;<lpage>594</lpage>.</citation>
</ref>
<ref id="B84">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Stevens</surname> <given-names>C. L.</given-names>
</name>
<name>
<surname>O&#x2019;Callaghan</surname> <given-names>J. M.</given-names>
</name>
<name>
<surname>Chiswell</surname> <given-names>S. M.</given-names>
</name>
<name>
<surname>Hadfield</surname> <given-names>M. G.</given-names>
</name>
</person-group> (<year>2019</year>). <article-title>Physical oceanography of New Zealand/Aotearoa shelf seas&#x2013;a review</article-title>. <source>New Z. J. Mar. Freshw. Res.</source> <volume>55</volume> (<issue>1</issue>), <fpage>6</fpage>&#x2013;<lpage>45</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1080/00288330.2019.1588746</pub-id>
</citation>
</ref>
<ref id="B85">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Stolwijk</surname> <given-names>A.</given-names>
</name>
<name>
<surname>Straatman</surname> <given-names>H.</given-names>
</name>
<name>
<surname>Zielhuis</surname> <given-names>G.</given-names>
</name>
</person-group> (<year>1999</year>). <article-title>Studying seasonality by using sine and cosine functions in regression analysis</article-title>. <source>J. Epidemiol. Community Health</source> <volume>53</volume> (<issue>4</issue>), <fpage>235</fpage>&#x2013;<lpage>238</lpage>. doi: <pub-id pub-id-type="doi">10.1136/jech.53.4.235</pub-id>
</citation>
</ref>
<ref id="B86">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Stramski</surname> <given-names>D.</given-names>
</name>
<name>
<surname>Boss</surname> <given-names>E.</given-names>
</name>
<name>
<surname>Bogucki</surname> <given-names>D.</given-names>
</name>
<name>
<surname>Voss</surname> <given-names>K. J.</given-names>
</name>
</person-group> (<year>2004</year>). <article-title>The role of seawater constituents in light backscattering in the ocean</article-title>. <source>Prog. Oceanography</source> <volume>61</volume> (<issue>1</issue>), <fpage>27</fpage>&#x2013;<lpage>56</lpage>. doi: <pub-id pub-id-type="doi">10.1016/j.pocean.2004.07.001</pub-id>
</citation>
</ref>
<ref id="B87">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Tassan</surname> <given-names>S.</given-names>
</name>
<name>
<surname>Ferrari</surname> <given-names>G. M.</given-names>
</name>
</person-group> (<year>2002</year>). <article-title>A sensitivity analysis of the &#x2018;Transmittance-Reflectance&#x2019; method for measuring light absorption by aquatic particles</article-title>. <source>J. Plankton Res.</source> <volume>24</volume> (<issue>8</issue>), <fpage>757</fpage>&#x2013;<lpage>774</lpage>. doi: <pub-id pub-id-type="doi">10.1093/plankt/24.8.757</pub-id>
</citation>
</ref>
<ref id="B88">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Trees</surname> <given-names>C. C.</given-names>
</name>
<name>
<surname>Kennicutt</surname> <given-names>M. C.</given-names>
</name>
<name>
<surname>Brooks</surname> <given-names>J. M.</given-names>
</name>
</person-group> (<year>1985</year>). <article-title>Errors associated with the standard fluorimetric determination of chlorophylls and phaeopigments</article-title>. <source>Mar. Chem.</source> <volume>17</volume> (<issue>1</issue>), <fpage>1</fpage>&#x2013;<lpage>12</lpage>. doi: <pub-id pub-id-type="doi">10.1016/0304-4203(85)90032-5</pub-id>
</citation>
</ref>
<ref id="B89">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Uitz</surname> <given-names>J.</given-names>
</name>
<name>
<surname>Claustre</surname> <given-names>H.</given-names>
</name>
<name>
<surname>Gentili</surname> <given-names>B.</given-names>
</name>
<name>
<surname>Stramski</surname> <given-names>D.</given-names>
</name>
</person-group> (<year>2010</year>). <article-title>Phytoplankton class-specific primary production in the world&#x2019;s oceans: Seasonal and interannual variability from satellite observations</article-title>. <source>Global Biogeochemical Cycles</source> <volume>24</volume> (<issue>3</issue>), <fpage>GB3016</fpage>. doi: <pub-id pub-id-type="doi">10.1029/2009GB003680</pub-id>
</citation>
</ref>
<ref id="B90">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Uitz</surname> <given-names>J.</given-names>
</name>
<name>
<surname>Claustre</surname> <given-names>H.</given-names>
</name>
<name>
<surname>Morel</surname> <given-names>A.</given-names>
</name>
<name>
<surname>Hooker</surname> <given-names>S. B.</given-names>
</name>
</person-group> (<year>2006</year>). <article-title>Vertical distribution of phytoplankton communities in open ocean: An assessment based on surface chlorophyll</article-title>. <source>J. Geophys. Res.</source> <volume>111</volume>, <fpage>C08005</fpage>. doi: <pub-id pub-id-type="doi">10.1029/2005JC003207</pub-id>
</citation>
</ref>
<ref id="B91">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Warton</surname> <given-names>D. I.</given-names>
</name>
<name>
<surname>Duursma</surname> <given-names>R. A.</given-names>
</name>
<name>
<surname>Falster</surname> <given-names>D. S.</given-names>
</name>
<name>
<surname>Taskinen</surname> <given-names>S.</given-names>
</name>
</person-group> (<year>2012</year>). <article-title>smatr 3&#x2013;an R package for estimation and inference about allometric lines</article-title>. <source>Methods Ecol. Evol.</source> <volume>3</volume> (<issue>2</issue>), <fpage>257</fpage>&#x2013;<lpage>259</lpage>. doi: <pub-id pub-id-type="doi">10.1111/j.2041-210X.2011.00153.x</pub-id>
</citation>
</ref>
<ref id="B92">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Westberry</surname> <given-names>T.</given-names>
</name>
<name>
<surname>Behrenfeld</surname> <given-names>M.</given-names>
</name>
<name>
<surname>Siegel</surname> <given-names>D.</given-names>
</name>
<name>
<surname>Boss</surname> <given-names>E.</given-names>
</name>
</person-group> (<year>2008</year>). <article-title>Carbon-based primary productivity modeling with vertically resolved photoacclimation</article-title>. <source>Global Biogeochemical Cycles</source> <volume>22</volume> (<issue>2</issue>), <fpage>1</fpage>&#x2013;<lpage>18</lpage>. doi: <pub-id pub-id-type="doi">10.1029/2007GB003078</pub-id>
</citation>
</ref>
<ref id="B93">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Westberry</surname> <given-names>T. K.</given-names>
</name>
<name>
<surname>Schultz</surname> <given-names>P.</given-names>
</name>
<name>
<surname>Behrenfeld</surname> <given-names>M. J.</given-names>
</name>
<name>
<surname>Dunne</surname> <given-names>J. P.</given-names>
</name>
<name>
<surname>Hiscock</surname> <given-names>M. R.</given-names>
</name>
<name>
<surname>Maritorena</surname> <given-names>S.</given-names>
</name>
<etal/>
</person-group>. (<year>2016</year>). <article-title>Annual cycles of phytoplankton biomass in the subarctic Atlantic and Pacific Ocean</article-title>. <source>Global Biogeochemical Cycles</source> <volume>30</volume> (<issue>2</issue>), <fpage>175</fpage>&#x2013;<lpage>190</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1002/2015GB005276</pub-id>
</citation>
</ref>
<ref id="B94">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Weston</surname> <given-names>K.</given-names>
</name>
<name>
<surname>Fernand</surname> <given-names>L.</given-names>
</name>
<name>
<surname>Mills</surname> <given-names>D.</given-names>
</name>
<name>
<surname>Delahunty</surname> <given-names>R.</given-names>
</name>
<name>
<surname>Brown</surname> <given-names>J.</given-names>
</name>
</person-group> (<year>2005</year>). <article-title>Primary production in the deep chlorophyll maximum of the central North Sea</article-title>. <source>J. Plankton Res.</source> <volume>27</volume> (<issue>9</issue>), <fpage>909</fpage>&#x2013;<lpage>922</lpage>. doi: <pub-id pub-id-type="doi">10.1093/plankt/fbi064</pub-id>
</citation>
</ref>
<ref id="B95">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Whitmire</surname> <given-names>A. L.</given-names>
</name>
<name>
<surname>Pegau</surname> <given-names>W. S.</given-names>
</name>
<name>
<surname>Karp-Boss</surname> <given-names>L.</given-names>
</name>
<name>
<surname>Boss</surname> <given-names>E.</given-names>
</name>
<name>
<surname>Cowles</surname> <given-names>T. J.</given-names>
</name>
</person-group> (<year>2010</year>). <article-title>Spectral backscattering properties of marine phytoplankton cultures</article-title>. <source>Optics Express</source> <volume>18</volume> (<issue>14</issue>), <fpage>15073</fpage>&#x2013;<lpage>15093</lpage>. doi: <pub-id pub-id-type="doi">10.1364/OE.18.015073</pub-id>
</citation>
</ref>
<ref id="B96">
<citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname>Wickham</surname> <given-names>H.</given-names>
</name>
</person-group> (<year>2011</year>). <source>ggplot2. Wiley Interdisciplinary Reviews: Computational Statistics</source> (<publisher-name>John Wiley &amp; Sons, Inc.</publisher-name>) Vol. <volume>3</volume>, <fpage>180</fpage>&#x2013;<lpage>185</lpage>.</citation>
</ref>
<ref id="B97">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Winn</surname> <given-names>C. D.</given-names>
</name>
<name>
<surname>Campbell</surname> <given-names>L.</given-names>
</name>
<name>
<surname>Christian</surname> <given-names>J. R.</given-names>
</name>
<name>
<surname>Letelier</surname> <given-names>R. M.</given-names>
</name>
<name>
<surname>Hebel</surname> <given-names>D. V.</given-names>
</name>
<name>
<surname>Dore</surname> <given-names>J. E.</given-names>
</name>
<etal/>
</person-group>. (<year>1995</year>). <article-title>Seasonal variability in the phytoplankton community of the North Pacific Subtropical Gyre</article-title>. <source>Global Biogeochemical Cycles</source> <volume>9</volume> (<issue>4</issue>), <fpage>605</fpage>&#x2013;<lpage>620</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1029/95GB02149</pub-id>
</citation>
</ref>
<ref id="B98">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Woo</surname> <given-names>H.-J.</given-names>
</name>
<name>
<surname>Park</surname> <given-names>K.</given-names>
</name>
</person-group> (<year>2020</year>). <article-title>Inter-comparisons of daily sea surface temperatures and <italic>in-situ</italic> temperatures in the coastal regions</article-title>. <source>Remote Sens.</source> <volume>12</volume> (<issue>10</issue>), <fpage>1592</fpage>&#x2013;<lpage>1619</lpage>. doi: <pub-id pub-id-type="doi">10.3390/rs12101592</pub-id>
</citation>
</ref>
<ref id="B99">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Wright-Fairbanks</surname> <given-names>E. K.</given-names>
</name>
<name>
<surname>Miles</surname> <given-names>T. N.</given-names>
</name>
<name>
<surname>Cai</surname> <given-names>W. J.</given-names>
</name>
<name>
<surname>Chen</surname> <given-names>B.</given-names>
</name>
<name>
<surname>Saba</surname> <given-names>G. K.</given-names>
</name>
</person-group> (<year>2020</year>). <article-title>Autonomous observation of seasonal carbonate chemistry dynamics in the Mid-Atlantic Bight</article-title>. <source>J. Geophysical Research: Oceans</source> <volume>125</volume> (<issue>11</issue>). doi:&#xa0;<pub-id pub-id-type="doi">10.1029/2020JC016505</pub-id>
</citation>
</ref>
<ref id="B100">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Xu</surname> <given-names>W.</given-names>
</name>
<name>
<surname>Wang</surname> <given-names>G.</given-names>
</name>
<name>
<surname>Jiang</surname> <given-names>L.</given-names>
</name>
<name>
<surname>Cheng</surname> <given-names>X.</given-names>
</name>
<name>
<surname>Zhou</surname> <given-names>W.</given-names>
</name>
<name>
<surname>Cao</surname> <given-names>W.</given-names>
</name>
</person-group> (<year>2021</year>). <article-title>Spatiotemporal Variability of surface phytoplankton carbon and carbon-to-chlorophyll a ratio in the south China sea based on satellite data</article-title>. <source>Remote Sens.</source> <volume>13</volume> (<issue>1</issue>), <fpage>30</fpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.3390/rs13010030</pub-id>
</citation>
</ref>
<ref id="B101">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Yoder</surname> <given-names>J. A.</given-names>
</name>
<name>
<surname>McClain</surname> <given-names>C. R.</given-names>
</name>
<name>
<surname>Feldman</surname> <given-names>G. C.</given-names>
</name>
<name>
<surname>Esaias</surname> <given-names>W. E.</given-names>
</name>
</person-group> (<year>1993</year>). <article-title>Annual cycles of phytoplankton chlorophyll concentrations in the global ocean: A satellite view</article-title>. <source>Global Biogeochemical Cycles</source> <volume>7</volume> (<issue>1</issue>), <fpage>181</fpage>&#x2013;<lpage>193</lpage>. doi: <pub-id pub-id-type="doi">10.1029/93GB02358</pub-id>
</citation>
</ref>
<ref id="B102">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Zeldis</surname> <given-names>J.</given-names>
</name>
<name>
<surname>Currie</surname> <given-names>K. I.</given-names>
</name>
<name>
<surname>Graham</surname> <given-names>S. L.</given-names>
</name>
<name>
<surname>Gall</surname> <given-names>M. P.</given-names>
</name>
</person-group> (<year>2022</year>). <article-title>Attributing controlling factors of acidification and hypoxia in a deep, nutrient-enriched estuarine embayment</article-title>. <source>Front. Mar. Sci.</source> <volume>2107</volume>. doi: <pub-id pub-id-type="doi">10.3389/fmars.2021.803439</pub-id>
</citation>
</ref>
<ref id="B103">
<citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname>Zeldis</surname> <given-names>J.</given-names>
</name>
<name>
<surname>Gall</surname> <given-names>M.</given-names>
</name>
</person-group> (<year>2005</year>). <source>Oceanography of Tasman and Golden Bays</source> (<publisher-loc>Nelson</publisher-loc>: <publisher-name>Tamsan District Council</publisher-name>).</citation>
</ref>
<ref id="B104">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Zeldis</surname> <given-names>J. R.</given-names>
</name>
<name>
<surname>Swaney</surname> <given-names>D. P.</given-names>
</name>
</person-group> (<year>2018</year>). <article-title>Balance of catchment and offshore nutrient loading and biogeochemical response in four New Zealand coastal systems: implications for resource management</article-title>. <source>Estuaries Coasts</source> <volume>41</volume> (<issue>8</issue>), <fpage>2240</fpage>&#x2013;<lpage>2259</lpage>. doi: <pub-id pub-id-type="doi">10.1007/s12237-018-0432-5</pub-id>
</citation>
</ref>
<ref id="B105">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Zeldis</surname> <given-names>J. R.</given-names>
</name>
<name>
<surname>Walters</surname> <given-names>R. A.</given-names>
</name>
<name>
<surname>Greig</surname> <given-names>M. J. N.</given-names>
</name>
<name>
<surname>Image</surname> <given-names>K.</given-names>
</name>
</person-group> (<year>2004</year>). <article-title>Circulation over the northeastern New Zealand continental slope, shelf and adjacent Hauraki Gulf during spring and summer</article-title>. <source>Continental Shelf Res.</source> <volume>24</volume>, <fpage>543</fpage>&#x2013;<lpage>561</lpage>. doi: <pub-id pub-id-type="doi">10.1016/j.csr.2003.11.007</pub-id>
</citation>
</ref>
<ref id="B106">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Zeldis</surname> <given-names>J. R.</given-names>
</name>
<name>
<surname>Willis</surname> <given-names>K. J.</given-names>
</name>
</person-group> (<year>2015</year>). <article-title>Biogeographic and trophic drivers of mesozooplankton distribution on the northeast continental shelf and in Hauraki Gulf, New Zealand</article-title>. <source>New Zealand Journal of Marine and Freshwater Research</source> <volume>49</volume> (<issue>1</issue>), <fpage>69</fpage>&#x2013;<lpage>86</lpage>.</citation>
</ref>
<ref id="B107">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Zhao</surname> <given-names>C.</given-names>
</name>
<name>
<surname>Maerz</surname> <given-names>J.</given-names>
</name>
<name>
<surname>Hofmeister</surname> <given-names>R.</given-names>
</name>
<name>
<surname>R&#xf6;ttgers</surname> <given-names>R.</given-names>
</name>
<name>
<surname>Wirtz</surname> <given-names>K.</given-names>
</name>
<name>
<surname>Riethm&#xfc;ller</surname> <given-names>R.</given-names>
</name>
<etal/>
</person-group>. (<year>2019</year>). <article-title>Characterizing the vertical distribution of chlorophyll a in the German Bight</article-title>. <source>Continental Shelf Res.</source> <volume>175</volume>, <fpage>127</fpage>&#x2013;<lpage>146</lpage>. doi: <pub-id pub-id-type="doi">10.1016/j.csr.2019.01.012</pub-id>
</citation>
</ref>
</ref-list>
</back>
</article>