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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Water</journal-id>
<journal-title>Frontiers in Water</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Water</abbrev-journal-title>
<issn pub-type="epub">2624-9375</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.3389/frwa.2025.1619838</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Water</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Planning for the future, algae bloom dynamics in water management and ecosystem restoration efforts</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes">
<name><surname>Julian</surname> <given-names>Paul</given-names><suffix>II</suffix></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<xref ref-type="corresp" rid="c001"><sup>&#x002A;</sup></xref>
<xref ref-type="author-notes" rid="fn0003"><sup>&#x2020;</sup></xref>
<uri xlink:href="https://loop.frontiersin.org/people/3050338/overview"/>
<role content-type="https://credit.niso.org/contributor-roles/validation/"/>
<role content-type="https://credit.niso.org/contributor-roles/methodology/"/>
<role content-type="https://credit.niso.org/contributor-roles/visualization/"/>
<role content-type="https://credit.niso.org/contributor-roles/data-curation/"/>
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<role content-type="https://credit.niso.org/contributor-roles/software/"/>
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<role content-type="https://credit.niso.org/contributor-roles/writing-review-editing/"/>
</contrib>
<contrib contrib-type="author">
<name><surname>Walker</surname> <given-names>William W.</given-names><suffix>Jr.</suffix></name>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
</contrib>
<contrib contrib-type="author">
<name><surname>Surratt</surname> <given-names>Donatto</given-names></name>
<xref ref-type="aff" rid="aff3"><sup>3</sup></xref>
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<contrib contrib-type="author">
<name><surname>Davis</surname> <given-names>Stephen E.</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
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<aff id="aff1"><sup>1</sup><institution>The Everglades Foundation</institution>, <addr-line>Palmetto Bay, FL</addr-line>, <country>United States</country></aff>
<aff id="aff2"><sup>2</sup><institution>Environmental Engineer</institution>, <addr-line>Concord, MA</addr-line>, <country>United States</country></aff>
<aff id="aff3"><sup>3</sup><institution>Everglades National Park, National Park Service C/O A.R.M, Loxahatchee National Wildlife Refuge</institution>, <addr-line>Palmetto Bay, FL</addr-line>, <country>United States</country></aff>
<author-notes>
<fn fn-type="edited-by" id="fn0004">
<p>Edited by: Qian Zhang, University of Maryland, United States</p>
</fn>
<fn fn-type="edited-by" id="fn0005">
<p>Reviewed by: Kristiina Marita Vuorio, Finnish Environment Institute (SYKE), Finland</p>
<p>Lauren M. Hall, St. Johns River Water Management District, United States</p>
</fn>
<corresp id="c001">&#x002A;Correspondence: Paul Julian II, <email>pjulian@evergladesfoundation.org</email></corresp>
<fn fn-type="other" id="fn0003"><p><sup>&#x2020;</sup>ORCID: Paul Julian II, <ext-link ext-link-type="uri" xlink:href="https://orcid.org/0000-0002-7617-1354">orcid.org/0000-0002-7617-1354</ext-link></p></fn>
</author-notes>
<pub-date pub-type="epub">
<day>14</day>
<month>07</month>
<year>2025</year>
</pub-date>
<pub-date pub-type="collection">
<year>2025</year>
</pub-date>
<volume>7</volume>
<elocation-id>1619838</elocation-id>
<history>
<date date-type="received">
<day>28</day>
<month>04</month>
<year>2025</year>
</date>
<date date-type="accepted">
<day>02</day>
<month>07</month>
<year>2025</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#x00A9; 2025 Julian, Walker, Surratt and Davis.</copyright-statement>
<copyright-year>2025</copyright-year>
<copyright-holder>Julian, Walker, Surratt and Davis</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>Eutrophication and chronic harmful algal blooms (HABs) are a challenge for ecosystem managers and restoration planners. Drivers of HABs include nutrient availability, temperature patterns, atmospheric conditions, rainfall-runoff relationships, and lake hydrodynamics. In South Florida, water is managed by water control plans that leverage restoration and water management infrastructure to control water levels in Lake Okeechobee and downstream systems. This study evaluated factors that contribute to algal blooms within Lake Okeechobee, assessed the long-term trends in algal biomass, and developed a modeling tool to evaluate lake algal bloom risk in the context of restoration and water management planning. For this study, Lake Okeechobee was divided into five distinct ecological zones based on physical (i.e., bathymetric), chemical (i.e., nutrient concentrations), and ecological (i.e., littoral, shallow, and open water zones) characteristics. Long-term changes in chlorophyll-a concentrations were interrelated with lake stage, volume, residence time, nitrogen, phosphorus, and temperature. Algal biomass, as indicated by concentrations of chlorophyll-a and phycocyanin, was significantly influenced by stage elevation, season, and location within the lake. Given the spatially unique characteristics of the lake and the potential drivers of algal blooms, two separate models were developed to evaluate scenarios. The first was an updated and expanded stage-based algal bloom indicator model used in prior restoration planning efforts. This model demonstrated the sensitivity of average summer chlorophyll-a concentration and bloom frequency across the lake, with littoral south, littoral west, and nearshore zones being the most responsive to changes in stage. The second model was a hierarchical model that used hydrodynamic and biogeochemical variables to predict chlorophyll-a concentrations across the lake. This model enhanced the understanding of summer chlorophyll-a concentrations across ecological zones. Moreover, these models both demonstrated how changes in water management regimes and restoration infrastructure can improve ecological conditions and significantly shift algal bloom potential for the lake. These models are valuable tools for understanding algal bloom potential and can be incorporated as a performance measure to evaluate future restoration planning efforts.</p>
</abstract>
<kwd-group>
<kwd>chlorophyll</kwd>
<kwd>phosphorus</kwd>
<kwd>nitrogen</kwd>
<kwd>hydrodynamics</kwd>
<kwd>lakes</kwd>
<kwd>Everglades</kwd>
</kwd-group>
<counts>
<fig-count count="7"/>
<table-count count="8"/>
<equation-count count="5"/>
<ref-count count="111"/>
<page-count count="20"/>
<word-count count="14525"/>
</counts>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-at-acceptance</meta-name>
<meta-value>Environmental Water Quality</meta-value>
</custom-meta>
</custom-meta-wrap>
</article-meta>
</front>
<body>
<sec sec-type="intro" id="sec1">
<title>Introduction</title>
<p>Globally, the ecological function of aquatic ecosystem systems is being challenged by cultural eutrophication, leading to the proliferation of harmful algal blooms (HABs) (<xref ref-type="bibr" rid="ref60">MacKeigan et al., 2023</xref>; <xref ref-type="bibr" rid="ref70">Painter et al., 2023</xref>). In freshwater lake ecosystems, these blooms are typically dominated by cyanobacteria, also called harmful cyanobacterial blooms (CyanoHABs or cHABs). The combined effects of bloom conditions causing reduced light attenuation, oxygen depletion and potential toxin production threaten the ecological integrity of the system and pose significant human exposure risk (<xref ref-type="bibr" rid="ref11">Carmichael, 2001</xref>; <xref ref-type="bibr" rid="ref6">Backer, 2002</xref>; <xref ref-type="bibr" rid="ref69">Orihel et al., 2012</xref>). In most freshwater lakes, including Lake Okeechobee (Florida, United States) the common bloom-forming cHABs include <italic>Dolichospermum</italic>, <italic>Microcystis</italic>, and <italic>Raphidiopsis</italic> (now <italic>Cylindrospermopsis</italic>) all of which are capable of generating toxins (<xref ref-type="bibr" rid="ref58">Lefler et al., 2023</xref>).</p>
<p>Monitoring algae and cyanobacteria in waterbodies is essential for water managers and ecosystem restoration professionals. It serves various purposes, including water quality assessment and ecological health evaluation. A variety of methods are used, ranging from extensive sampling and identification (e.g., grab samples, cytometry) to <italic>in-situ</italic> monitoring with optical and fluorescence sensors. Each monitoring method spans a range of spatial and temporal resolutions to provide estimates of algal biomass or cell count. Typically, when estimating algal biomass, chlorophyll-a is used as a proxy. However, chlorophyll-a content varies among different algal species, is non-specific to cyanobacteria, and is generally non-linearly related to cyanobacteria cell count (<xref ref-type="bibr" rid="ref63">Matthews, 2011</xref>). Phycocyanin is an accessory pigment present in cyanobacteria associated with photosystem II (<xref ref-type="bibr" rid="ref59">Mac&#x00E1;rio et al., 2015</xref>). Given this pigment specific to cyanobacteria, early warning and human health risk alert levels have been suggested using in-situ sensors to include both chlorophyll and phycocyanin concentrations (<xref ref-type="bibr" rid="ref59">Mac&#x00E1;rio et al., 2015</xref>; <xref ref-type="bibr" rid="ref94">Thomson-Laing et al., 2020</xref>; <xref ref-type="bibr" rid="ref81">Rousso et al., 2022</xref>). While phycocyanin is a more specific indicator of cyanobacteria, the abundance of phycocyanin data is limited relative to chlorophyll-a due to the lack of a standardized accepted extraction and analysis method specific to phycocyanin from cells (<xref ref-type="bibr" rid="ref92">Stumpf et al., 2016</xref>). Finally, chlorophyll-a has been established as a standard water quality indicator, a common algal biomass metric and is used as a reference for cyanobacterial blooms (<xref ref-type="bibr" rid="ref16">Chorus and Welker, 2021</xref>).</p>
<p>Drivers of cHABs and bloom formation have been extensively studied and reviewed with an emphasis on nutrient controls of growth (<xref ref-type="bibr" rid="ref66">O&#x2019;Neil et al., 2012</xref>). More recently, climate change perspectives centered on changes in temperature patterns, atmospheric conditions, and rainfall-runoff relationships have also been considered (<xref ref-type="bibr" rid="ref64">Mowe et al., 2015</xref>; <xref ref-type="bibr" rid="ref62">Martinsen and Sand-Jensen, 2022</xref>; <xref ref-type="bibr" rid="ref18">Davidson et al., 2023</xref>; <xref ref-type="bibr" rid="ref60">MacKeigan et al., 2023</xref>; <xref ref-type="bibr" rid="ref82">Saros et al., 2025</xref>). Historically, the discussion of nutrient-driven productivity changes in cyanobacteria and cHAB proliferation has centered on phosphorus (P) loading and internal lake recycling of P (<xref ref-type="bibr" rid="ref99">Vollenweider, 1975</xref>; <xref ref-type="bibr" rid="ref90">Song and Burgin, 2017</xref>; <xref ref-type="bibr" rid="ref1">Albright et al., 2022</xref>; <xref ref-type="bibr" rid="ref33">Hanson et al., 2023</xref>; <xref ref-type="bibr" rid="ref105">Waters et al., 2023</xref>). While understanding P dynamics is important more recently, the focus has shifted to include concepts related to the role of both nitrogen (N) and P in bloom proliferation and control (<xref ref-type="bibr" rid="ref21">Elser et al., 2007</xref>; <xref ref-type="bibr" rid="ref84">Schindler et al., 2008</xref>; <xref ref-type="bibr" rid="ref108">Wu et al., 2022</xref>).</p>
<p>Lake Okeechobee is an iconic, large, shallow and very well studied lake in south Florida (United States) that has been affected by excessive external N and P loads, primarily from agricultural runoff, and manifests a chronic seasonal cHAB nearly annually (<xref ref-type="bibr" rid="ref49">James et al., 1994</xref>, <xref ref-type="bibr" rid="ref47">2011</xref>; <xref ref-type="bibr" rid="ref36">Havens, 1995</xref>; <xref ref-type="bibr" rid="ref42">Havens et al., 1995</xref>). In the late 1970&#x2019;s, the phytoplankton communities in Lake Okeechobee had an annual average composition of ~30% cyanobacteria (based on biovolume) with Bacillarophyceae and Cryptophyceae generally making up the remaining dominant phytoplankton classes (<xref ref-type="bibr" rid="ref61">Marshall, 1977</xref>). By the early to mid-1990s the phytoplankton community structure shifted to a cyanobacteria dominated community (<xref ref-type="bibr" rid="ref17">Cichra et al., 1995</xref>; <xref ref-type="bibr" rid="ref22">Engstrom et al., 2006</xref>). During this time, high nutrient loads degraded environmental conditions and changes in sediment characteristics including increased coverage of high-P mud were noted (<xref ref-type="bibr" rid="ref52">Julian et al., 2023</xref>). Additionally, during this time, several modifications to lake regulation schedules were adopted which managed the lake at different water levels and provided operational rules to water managers on when and how to release water to avoid flooding impacts and maintain or improve water supply, all of which negatively affected the ecology of the lake (<xref ref-type="bibr" rid="ref38">Havens, 2002</xref>; <xref ref-type="bibr" rid="ref54">Julian and Welch, 2022</xref>).</p>
<p>This study evaluates algal bloom dynamics within Lake Okeechobee, a subtropical eutrophic lake with persistent and chronic blooms often dominated by <italic>Microcystis</italic> (<xref ref-type="bibr" rid="ref75">Phlips et al., 1993</xref>; <xref ref-type="bibr" rid="ref44">Havens et al., 2016</xref>). We pursued three objectives: (1) evaluation of factors that contributed to favorable algal bloom conditions in unique ecological regions across the lake; (2) assessment of long-term trends and spatial distribution of algal pigments (chlorophyll-a and phycocyanin) within Lake Okeechobee, and (3) development of a tool to evaluate lake algal bloom risk. This tool is designed for application in ecosystem restoration and operational planning efforts within the Greater Everglades ecosystem. Hypotheses associated with these objectives included: (1) ecological zones across Lake Okeechobee are characterized by different variables with the pelagic/limnetic region experiencing higher nutrient concentrations and the littoral zones responding to changes in water levels (stage); (2) algal pigments have a pronounced seasonal peak and spatial distribution driven by environmental conditions; and (3) hydrodynamic variables such as water level (i.e., stage elevation), water residence time and discharge volume may affect limiting nutrient concentrations and algal biomass as indicated by chlorophyll-a concentrations. It is expected that the results of this study will aid in the understanding of the interplay between stage, other hydrodynamic variables, nutrients and seasonal algal biomass to evaluate algal bloom risk across restoration alternatives.</p>
</sec>
<sec sec-type="methods" id="sec2">
<title>Methods</title>
<sec id="sec3">
<title>Study area</title>
<p>Lake Okeechobee (27&#x00B0;N, 81&#x00B0;W) is a large (1803&#x202F;km<sup>2</sup>), shallow (mean depth 2.7&#x202F;m) subtropical lake in South Florida at the center of the Kissimmee-Okeechobee-Everglades ecosystem and the Central and Southern Florida Project (<xref ref-type="fig" rid="fig1">Figure 1</xref>; <xref ref-type="bibr" rid="ref4">Aumen, 1995</xref>). Water levels within Lake Okeechobee are influenced by the subtropical climate of South Florida combined with water management that focus on regulatory controls for water supply, flood protection and the environment (<xref ref-type="bibr" rid="ref78">Qiu and Wan, 2013</xref>).</p>
<fig position="float" id="fig1">
<label>Figure 1</label>
<caption>
<p><bold>(A)</bold> Relative location of Lake Okeechobee within Florida, <bold>(B)</bold> overview map of important geographic features and restoration projects, and <bold>(C)</bold> monitoring locations used in this study and delineation of ecological zones, modified from <xref ref-type="bibr" rid="ref75">Phlips et al. (1993)</xref>.</p>
</caption>
<graphic xlink:href="frwa-07-1619838-g001.tif">
<alt-text content-type="machine-generated">Map showing ecological zones and infrastructure around Lake Okeechobee. Sections A, B, and C detail zones like Littoral, Nearshore, and Pelagic. Symbols denote monitoring sites, storage, and water quality treatment areas. Major canals and water control structures are highlighted.</alt-text>
</graphic>
</fig>
<p>We evaluate the lake as three regions: (1) littoral, (2) nearshore, and (3) limnetic zones. The shallow nearshore and littoral region comprises a third of the total lake surface area and contains a diverse plant community of emergent and submerged aquatic vegetation. The limnetic zone or open water region of the lake makes up the remaining two-thirds of the surface area. This limnetic portion in the central, north, and east has predominately flocculent mud sediments (<xref ref-type="bibr" rid="ref24">Fisher et al., 2001</xref>; <xref ref-type="bibr" rid="ref52">Julian et al., 2023</xref>), which are a persistent source of turbidity and nutrients in the lake (<xref ref-type="bibr" rid="ref75">Phlips et al., 1993</xref>; <xref ref-type="bibr" rid="ref34">Harris et al., 2007</xref>).</p>
</sec>
<sec id="sec4">
<title>Data sources</title>
<p>Water quality and hydrodynamic data were retrieved from the South Florida Water Management District Online Environmental Database (<xref ref-type="table" rid="tab1">Table 1</xref>) for locations across Lake Okeechobee (<xref ref-type="fig" rid="fig1">Figure 1</xref>) between October 1987 and September 2023 (Federal Water Years [WY] 1988 to 2023; <xref ref-type="table" rid="tab1">Table 1</xref>). Nutrient and chlorophyll-a data were collected as surface water grab samples during the period of record. Daily average phycocyanin concentration data were collected from a subset of long-term, near-surface (0.5&#x202F;m below water surface) monitoring locations (<xref ref-type="fig" rid="fig1">Figure 1</xref>) between October 2016 and September 2023. Any data associated with a fatal qualifier indicating a potential data quality problem was removed from the analysis. For data analyses and summary statistics, values reported below the method detection limit (MDL) were assigned a value of one-half the MDL.</p>
<table-wrap position="float" id="tab1">
<label>Table 1</label>
<caption>
<p>Data type, parameters, and sources for data used in this study.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top">Data type</th>
<th align="left" valign="top">Period of record/simulation</th>
<th align="left" valign="top">Parameters</th>
<th align="left" valign="top">Locations</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="middle" rowspan="2">Hydrology<sup>1</sup></td>
<td align="left" valign="middle" rowspan="2">Oct 1974 - Sept 2023</td>
<td align="left" valign="middle">Daily Stage Elevation</td>
<td align="left" valign="middle">Lake Okeechobee</td>
</tr>
<tr>
<td align="left" valign="middle">Daily Discharge</td>
<td align="left" valign="middle">Structures<sup>4</sup></td>
</tr>
<tr>
<td align="left" valign="top" rowspan="7">Water quality<break/>(grab samples)<sup>1</sup></td>
<td align="left" valign="middle" rowspan="6">Oct 1987 - Sept 2023</td>
<td align="left" valign="middle">Chlorophyll-a</td>
<td align="left" valign="middle">Structures<sup>4</sup> &#x0026; In-lake<sup>4</sup></td>
</tr>
<tr>
<td align="left" valign="middle">Water Temperature</td>
<td/>
</tr>
<tr>
<td align="left" valign="middle">Total Nitrogen</td>
<td/>
</tr>
<tr>
<td align="left" valign="middle">Dissolved Inorganic Nitrogen</td>
<td/>
</tr>
<tr>
<td align="left" valign="middle">Total Phosphorus</td>
<td/>
</tr>
<tr>
<td align="left" valign="middle">Soluble Reactive Phosphorus</td>
<td/>
</tr>
<tr>
<td align="left" valign="middle">Oct 2016 &#x2013; Sept 2023</td>
<td align="left" valign="middle">Phycocyanin<break/>(surface - daily average)</td>
<td align="left" valign="middle">L001, L005, L006, LZ40, POLESOUT1,<break/>POLESOUT3</td>
</tr>
<tr>
<td align="left" valign="middle">Modeled Hydrology<sup>2,3</sup></td>
<td align="left" valign="middle">Jan 1965 - Dec 2016</td>
<td align="left" valign="middle">Daily Modeled Stage Elevation</td>
<td align="left" valign="middle">Lake Okeechobee</td>
</tr>
<tr>
<td/>
<td/>
<td align="left" valign="middle">Daily Modeled Discharge</td>
<td align="left" valign="middle">Structures<sup>4</sup></td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p><sup>1</sup>Link: <ext-link xlink:href="https://www.sfwmd.gov/dbhydro" ext-link-type="uri">https://www.sfwmd.gov/dbhydro</ext-link>. <sup>2</sup>Link: <ext-link xlink:href="https://apps.sfwmd.gov/smmsviewer/" ext-link-type="uri">https://apps.sfwmd.gov/smmsviewer/</ext-link>. <sup>3</sup>Regional Simulation Model Basins (RSM-BN) for Lake Okeechobee System Operating Manual (LOSOM) and Lake Okeechobee Component A Reservoir (LOCAR). <sup>4</sup>See <xref ref-type="fig" rid="fig1">Figure 1</xref>.</p>
</table-wrap-foot>
</table-wrap>
<p>Scenario modeling was conducted using the Regional Simulation Model &#x2013; Basins (RSM-BN). The RSM-BN model uses past climatology in a link-node framework to simulate hydrologic conditions by using a Hydrologic Simulation Engine (<xref ref-type="bibr" rid="ref15">Chin et al., 2005</xref>) combined with a Management Simulation Engine (<xref ref-type="bibr" rid="ref9">Bras et al., 2019</xref>). The RSM-BN model has a 52-year simulation period of record from January 1, 1965 to December 31, 2016. For purposes of restoration planning, the RSM-BN model uses observed variability in climatology across the SFWMD boundary as input to simulate water management changes. Therefore, over the 52-year simulation period, the model includes extreme events such as prolonged drought, hurricanes, tropical storms, and prolonged periods of high and low rainfall. The RSM-BN is a robust simulation tool that has been used in project planning efforts for several projects including the Central Everglades Planning Project, Lake Okeechobee Watershed Restoration Project, Western Everglades Restoration Project, Everglades Restoration Transition Plan, and Combined Operational Plan (<xref ref-type="bibr" rid="ref91">South Florida Water Management District, 2020</xref>).</p>
<p>This study used the Lake Okeechobee System Operating Manual (LOSOM; <xref ref-type="bibr" rid="ref95">US Army Corps of Engineers, 2024a</xref>) and the Lake Okeechobee Component a Reservoir (LOCAR; <xref ref-type="bibr" rid="ref96">US Army Corps of Engineers, 2024b</xref>) RSM-BN based modeling efforts. Both efforts included unique baseline conditions and preferred/selected operational or restoration alternatives. Moreover, project planning and modeling were conducted at different times. In the LOSOM modeling effort, the intention was to evaluate changes in Lake Okeechobee&#x2019;s regulation schedule, therefore, the no-action 2025 (NA25; equivalent to a future without project baseline) baseline condition assumes the Lake Okeechobee Regulation Schedule of 2008 (LORS08) lake operations. The infrastructure included in the NA25 baseline contained the completion of capital projects and foundational Comprehensive Everglades Restoration Plan (CERP) projects including the rehabilitation of the Herbert Hoover Dike (HHD), operation of the C-44 reservoir (to the east of Lake Okeechobee), and operation of stormwater treatment areas (STAs) downstream of Lake Okeechobee that treat lake water in addition to agricultural runoff. The final alternative was the preferred alternative 2025 (PA25) that represented the completed infrastructure outlined above for the NA25 alternative but also included C-43 reservoir (downstream of the western outlet), and the A-2 stormwater treatment area (downstream of southern outlets) with water management being guided by the new LOSOM regulation schedule (<xref ref-type="table" rid="tab2">Table 2</xref>).</p>
<table-wrap position="float" id="tab2">
<label>Table 2</label>
<caption>
<p>Summary of baseline and restoration/operational alternative assumptions for the Lake Okeechobee System Operating Manual (LOSOM) and Lake Okeechobee Component a Reservoir (LOCAR) project.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th colspan="2"></th>
<th align="center" valign="top" colspan="2">LOSOM</th>
<th align="center" valign="top" colspan="2">LOCAR</th>
</tr>
<tr>
<th align="left" valign="top">Region<sup>1</sup></th>
<th align="left" valign="top">Feature<sup>1</sup></th>
<th align="center" valign="top">NA25</th>
<th align="center" valign="top">PA25</th>
<th align="center" valign="top">FWOLL</th>
<th align="center" valign="top">LCR1</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="middle">Kissimmee River</td>
<td align="left" valign="middle">Regulation Schedule</td>
<td align="center" valign="middle" colspan="4">Headwater Regulation Schedule</td>
</tr>
<tr>
<td/>
<td align="left" valign="middle">River Restoration</td>
<td align="center" valign="middle" colspan="4">Complete</td>
</tr>
<tr>
<td/>
<td align="left" valign="middle">C-41A</td>
<td align="center" valign="middle" colspan="2">Not Include</td>
<td align="center" valign="middle">Not Include</td>
<td align="center" valign="middle">LOCAR Reservoir<sup>5</sup></td>
</tr>
<tr>
<td align="left" valign="middle">Lake Okeechobee</td>
<td align="left" valign="middle">Regulation Schedule</td>
<td align="center" valign="middle">LORS08</td>
<td align="center" valign="middle">LOSOM</td>
<td align="center" valign="middle" colspan="2">LOSOM</td>
</tr>
<tr>
<td/>
<td align="left" valign="middle">HHD Rehabilitation</td>
<td align="center" valign="middle" colspan="2">Complete</td>
<td align="center" valign="middle" colspan="2">Complete</td>
</tr>
<tr>
<td align="left" valign="middle">EAA</td>
<td align="left" valign="middle">STA + FEBs<sup>2</sup></td>
<td align="center" valign="middle" colspan="4">Restoration Strategies Complete</td>
</tr>
<tr>
<td/>
<td align="left" valign="middle">Reservoir + STA<sup>3</sup></td>
<td align="center" valign="middle">Not included</td>
<td align="center" valign="middle">Only STA<sup>4</sup></td>
<td align="center" valign="middle" colspan="2">Complete and Operational</td>
</tr>
<tr>
<td align="left" valign="middle">St Lucie</td>
<td align="left" valign="middle">C-44 Reservoir + STA<sup>3</sup></td>
<td align="center" valign="middle" colspan="4">Complete and Operational</td>
</tr>
<tr>
<td align="left" valign="middle">Caloosahatchee</td>
<td align="left" valign="middle">C-43 Reservoir<sup>3</sup></td>
<td align="center" valign="middle" colspan="4">Complete and Operational</td>
</tr>
<tr>
<td align="left" valign="middle">WCA 1</td>
<td align="left" valign="middle">Regulation Schedule</td>
<td align="center" valign="middle" colspan="4">Regulation Schedule of 1995</td>
</tr>
<tr>
<td align="left" valign="middle">WCA 2</td>
<td align="left" valign="middle">Regulation Schedule</td>
<td align="center" valign="middle" colspan="4">Regulation Schedule of 1998</td>
</tr>
<tr>
<td align="left" valign="middle">WCA 3</td>
<td align="left" valign="middle">Regulation Schedule</td>
<td align="center" valign="middle" colspan="4">2020 Combined Operational Plan</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p><sup>1</sup>HHD, Herbert Hoover Dike; EAA, Everglades Agricultural Area; STA, Stormwater Treatment Area; FEB, Flow Equalization Basin; LOSOM, Lake Okeechobee System Operating Manual; LORS08, Lake Okeechobee Regulation Schedule of 2008; LOCAR, Lake Okeechobee Component-A Reservoir. <sup>2</sup>Including STA-1E, STA-1&#x202F;W (Phase 1 and 2), STA-2, STA 3/4, STA 5/6, L8 FEB, A1 FEB and C139 FEB. <sup>3</sup>EAA reservoir and STA: 240,000 Ac-Ft storage reservoir and 6,599 acre STA; C-43 Reservoir: 175,800 Ac-Ft storage reservoir; C-44 reservoir and STA: 50,441 Ac-Ft storage reservoir and 6,384 acre STA. <sup>4</sup>Under the LOSOM PA25 Alternative the STA was included but with limited operations to establish and maintain vegetative communities. <sup>5</sup>LOCAR Reservoir: 200,000 Ac-Ft storage reservoir.</p>
</table-wrap-foot>
</table-wrap>
<p>For the LOCAR modeling effort, the baseline condition (FWOLL) assumes LOSOM water management and regulatory operational guidance for Lake Okeechobee and included the Everglades Agricultural Area (EAA) Reservoir and stormwater treatment area. In the preferred alternative for LOCAR (LCR1), a 200,000 acre-ft storage reservoir located north of Lake Okeechobee was also included. The northern reservoir was modeled to attenuate flows to the lake by capturing wet season flows, and provide supplemental flows during the dry season (<xref ref-type="bibr" rid="ref97">USACE, 2024</xref>; <xref ref-type="fig" rid="fig1">Figure 1</xref>; <xref ref-type="table" rid="tab2">Table 2</xref>).</p>
<p>Generally, LORS08 was a prescriptive operational plan with numerous water level-based management bands that dictated recommended discharge volumes to the major lake outlets. These discharges primarily benefited water supply while providing highly damaging discharges to the Northern Estuaries (Caloosahatchee and St Lucie River estuaries) and starving the Everglades ecosystem to the south (<xref ref-type="bibr" rid="ref51">Julian and Reidenbach, 2024</xref>). Meanwhile, LOSOM was developed to provide operational flexibility, providing ample water supply benefits while improving salinity regimes for the Northern Estuaries and increasing ecological flows to the southern Everglades (<xref ref-type="bibr" rid="ref54">Julian and Welch, 2022</xref>; <xref ref-type="bibr" rid="ref51">Julian and Reidenbach, 2024</xref>).</p>
</sec>
<sec id="sec5">
<title>Data analyses</title>
<sec id="sec6">
<title>Ecological zone factor analysis</title>
<p>To assess variations in biogeochemistry and the effect of hydrologic characteristics across the different ecological zones non-metric multidimensional-scaling analysis (NMDS; &#x2018;<italic>metaMDS</italic>&#x2019; function in the vegan R-package; <xref ref-type="bibr" rid="ref67">Oksanen and Guillaume, 2018</xref>) was used with the Kulczynski dissimilarity index. This approach, rather than other ordination techniques, was selected as this method preserves the rank order of dissimilarities and, therefore, the relationships among zones. The Kulczynski dissimilarity index was used as it is a good index for detecting underlying ecosystem gradients (<xref ref-type="bibr" rid="ref23">Faith et al., 1987</xref>).</p>
<p>Global and pairwise analysis of similarities (ANOSIM) analyses using the &#x2018;<italic>anosim</italic>&#x2019; (in the vegan R-package) and &#x2018;<italic>anosim.pw</italic>&#x2019; (see supplemental) functions was conducted to test statistically whether there were significant differences between ecological zones. Variables included in these analyses were spatially averaged by ecological zone annual (WY) geometric mean concentrations of TP, TN, SRP, DIN, chlorophyll-a, surface water temperature, annual average stage elevation, storage volume, water residence time (WRT), total inflow discharge volume, TP load and TN Load, and total in-lake TP and TN load by zone.</p>
<p>Annual inflow nutrient loads were estimated by interpolating nutrient concentrations daily from grab samples collected at each respective water control structure during days of observed discharge. Daily interpolated nutrient concentrations were multiplied by daily flow and summed for each WY. Annual total in-lake nutrient loads were estimated for each monitoring location by determining a site-specific water depth based on lake stage and lake bottom (from lake bathymetry) for each sample. Water depth was multiplied by nutrient concentration and annual average computed to produce an annual average areal load.</p>
<p>The annual average load was then spatially averaged across the ecological zone and multiplied by ecological zone area. The annual average storage volume was estimated from the stage-area-volume curve, which was estimated from spatial bathymetric data combined with daily stage data and average over the water year. Annual average water residence time was calculated by dividing the annual average storage volume by the total annual outflow volume.</p>
</sec>
<sec id="sec7">
<title>Pigment trend analyses</title>
<p>To evaluate seasonal trends and spatial variability of chlorophyll-a and phycocyanin pigment concentrations across Lake Okeechobee, spatiotemporal generalized additive models (GAM; mcgv R-package; <xref ref-type="bibr" rid="ref107">Wood, 2017</xref>) were fit for chlorophyll-a and phycocyanin, separately using the &#x2018;<italic>bam</italic>&#x2019; function. Due to significant differences in how Lake Okeechobee was managed between regulation schedules (<xref ref-type="bibr" rid="ref93">Tarabih and Arias, 2021</xref>; <xref ref-type="bibr" rid="ref54">Julian and Welch, 2022</xref>; <xref ref-type="bibr" rid="ref53">Julian et al., 2024</xref>), this evaluation of chlorophyll-a will focus on the 2008 to 2023 period of record. The model was constructed consistent with <xref ref-type="disp-formula" rid="EQ1">Equation 1</xref> for chlorophyll-a and <xref ref-type="disp-formula" rid="EQ2">Equation 2</xref> for phycocyanin. Differences in model variables, smoothing functions, and interaction effects were necessary due to differences in the frequency of data collection, spatial coverage, and time-series duration. The chlorophyll-a model was fit using the Gaussian log-linked distribution. Meanwhile, the phycocyanin model was fit using the Tweedie distribution. Model fit distributions were selected based on data distribution, model residual distributions, and overall model fit.</p>
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<p>Degrees of smoothing (knots&#x202F;=&#x202F;k) were initially used to minimize the generalized cross-validation score, followed by <italic>post hoc</italic> adjustments of &#x2018;<italic>k&#x2019;</italic> for individual terms using the function &#x2018;<italic>gam.check&#x2019;.</italic> The first derivative of the fitted trend was evaluated using finite differences (gratia R-package; <xref ref-type="bibr" rid="ref87">Simpson, 2021</xref>). Periods of significant change were identified when the confidence interval of the first derivative for the fitted stage, year and decimal month spline for the chlorophyll-a model and stage, day-of-year and decimal year spline for the phycocyanin model spline did not include zero, consistent with <xref ref-type="bibr" rid="ref86">Simpson (2018)</xref>.</p>
</sec>
<sec id="sec8">
<title>Algal bloom risk tool</title>
<p>To develop a simple predictive framework to evaluate changes in chlorophyll-a concentrations and algal bloom risk across Lake Okeechobee a series of models were developed to support restoration planning efforts consistent with <xref ref-type="bibr" rid="ref101">Walker (2020)</xref>. The models include summer (May&#x2013;August) mean chlorophyll-a concentration, and bloom frequency as defined by exceeding chlorophyll-a concentrations of 20&#x202F;&#x03BC;g&#x202F;L<sup>&#x2212;1</sup> (f<sub>Chla</sub>20) and 40&#x202F;&#x03BC;g&#x202F;L<sup>&#x2212;1</sup> (f<sub>Chla</sub>40). Data between October 1999 and September 2023 were used to fit the concentration and bloom frequency models with years of major hurricanes excluded (WYs 2000, 2004, 2006, 2017, and 2022).</p>
<p>Bloom condition thresholds were based on Lake Numeric Nutrient Criteria (i.e., 20&#x202F;&#x03BC;g&#x202F;L<sup>&#x2212;1</sup> for high color and alkalinity lakes) (<xref ref-type="bibr" rid="ref25">Florida Administrative Code, 2016a</xref>, <xref ref-type="bibr" rid="ref26">2016b</xref>) and prior Lake Okeechobee algal studies (i.e., 40&#x202F;&#x03BC;g&#x202F;L<sup>&#x2212;1</sup>) (<xref ref-type="bibr" rid="ref35">Havens, 1994</xref>; <xref ref-type="bibr" rid="ref102">Walker and Havens, 1995</xref>; <xref ref-type="bibr" rid="ref45">Havens and Walker, 2002</xref>). Seasonal annual mean chlorophyll-a and exceedance frequencies (f<sub>Chla</sub>20 and f<sub>Chla</sub>40) were estimated for each location across the lake followed by a spatial aggregation by ecological zones (<xref ref-type="fig" rid="fig1">Figure 1</xref>) adapted from <xref ref-type="bibr" rid="ref75">Phlips et al. (1993)</xref>. These spatial aggregations reflect a combination of unique characteristics such as sediment types, vegetative communities, and average depth.</p>
<p>Ecological zone annual summer mean chlorophyll-a concentrations and exceedance frequencies (f<sub>Chla</sub>20 and f<sub>Chla</sub>40) were fit to summer mean lake stage elevation constrained to a minimum value of 3.5 meters National Geodetic Vertical Datum 1929 (NGVD29; 11.5&#x202F;feet) using a mixed effect model framework with the &#x2018;<italic>gam</italic>&#x2019; function of the &#x2018;mgcv&#x2019; R-package, incorporating random effects smooths. The models were specified with constrained stage as the fixed effect and ecological zone as a random effect to account for random slope and intercepts. The chlorophyll-a concentration mixed effect model was fit using the Tweedie distribution and the exceedance frequency models were fit using the binomial logit linked distribution. Since no unified method to estimate conditional (entire model) and marginal (fixed effects only) goodness of fits (i.e., <italic>R</italic><sup>2</sup>) are available for mixed effect models using the &#x2018;mgcv&#x2019; package, a fixed effect only and entire model were fit separately to approximate conditional and marginal deviance explained. All models were validated using a k-fold procedure with a total of 5-folds, resulting in an approximately 20% testing and training split. Validation performance indicators used to evaluate the models include average mean absolute error (MAE), root mean square error (RMSE), and mean bias error (MBE). For completeness metric equations, hypothetical ranges and ideal values/goals are included in <xref ref-type="supplementary-material" rid="SM1">Supplementary Table S1</xref>.</p>
<p>The stage constraint was applied to daily summer stage elevations due to the low frequency of data below 3.5&#x202F;m (2 out of 17&#x202F;years used in the analysis) and the variability of chlorophyll-a concentrations across regions (<xref ref-type="bibr" rid="ref101">Walker, 2020</xref>). This variability could be related to the difficulties in obtaining representative samples in shallow water depths and the spatial heterogeneity of water quality conditions under low-stage conditions.</p>
</sec>
<sec id="sec9">
<title>Biogeochemical algal model</title>
<p>A second modeling approach was considered to evaluate summer average chlorophyll-a concentrations across the different ecological zones to assess the relative change in conditions across model alternatives. This modeling approach considered hydrodynamic and biogeochemical characteristics informed by the results of the NMDS evaluation and prior lake modeling studies (<xref ref-type="bibr" rid="ref68">Olson and Jones, 2022</xref>; <xref ref-type="bibr" rid="ref33">Hanson et al., 2023</xref>). Using the same period as identified above for the stage-based mixed models (October 1999 &#x2013; September 2024 with hurricane years excluded). Summer average chlorophyll-a concentration data were fitted. The variables considered include summer mean TP, DIN concentrations, water residence time (<italic>WRT</italic>), depth (<italic>z</italic>), inflow discharge volume (<italic>Q<sub>in</sub></italic>), and ecological zone (<xref ref-type="disp-formula" rid="EQ3">Equation 3</xref>) in a hierarchical GAM (HGAM) framework (<xref ref-type="bibr" rid="ref71">Pedersen et al., 2019</xref>) with parametric, smoothing (s), and tensor interaction (ti) terms. Due to the dependency of TP and DIN concentrations in the summer average chlorophyll model (<xref ref-type="disp-formula" rid="EQ3">Equation 3</xref>), two additional models were also fit to predict summer average TP and DIN concentrations (<xref ref-type="disp-formula" rid="EQ5">Equations 4</xref>, <xref ref-type="disp-formula" rid="EQ4">5</xref>, respectively) using hydrodynamic predictor variables (lake volume [V], and outflow discharge volume [<italic>Q<sub>out</sub></italic>]) across ecological zones. Given the distribution of the data, chlorophyll and TP models were fitted using the Tweedie distribution with a log link while the Gamma distribution with a log link was applied to the DIN model. Models were tested using observed data between October 1976 and September 1999 with hurricane years excluded. Models were tested using several goodness of fit metrics including <italic>R</italic><sup>2</sup> between the observed vs. predicted during the testing period Kling Gupta model efficiency (KGE; <xref ref-type="supplementary-material" rid="SM1">Supplementary Table S1</xref>; <xref ref-type="bibr" rid="ref30">Gupta et al., 2009</xref>), and absolute model fit metric used above (i.e., MAE, RMSE, and MBE). Finally, models were validated using the leave-one-out cross-validation (LOOCV) procedure and assessed using MAE, RMSE and MBE as validation performance indicators.</p>
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<mml:mtext mathvariant="italic">out</mml:mtext>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:mi>V</mml:mi>
<mml:mo>+</mml:mo>
<mml:mi>s</mml:mi>
<mml:mo stretchy="true">(</mml:mo>
<mml:mi mathvariant="italic">WRT</mml:mi>
<mml:mo>,</mml:mo>
<mml:mtext mathvariant="italic">EcoZone</mml:mtext>
<mml:mo stretchy="true">)</mml:mo>
<mml:mo>+</mml:mo>
<mml:mi>s</mml:mi>
<mml:mo stretchy="true">(</mml:mo>
<mml:mtext mathvariant="italic">Ecozone</mml:mtext>
<mml:mo stretchy="true">)</mml:mo>
</mml:math>
</disp-formula>
</sec>
<sec id="sec10">
<title>Application of algal risk models</title>
<p>Modeled stage elevation values for the entire period of simulation and summer only for all unique combinations of modeled scenarios were evaluated using the two-sample Anderson-Darling test (<xref ref-type="bibr" rid="ref3">Anderson and Darling, 1952</xref>; <xref ref-type="bibr" rid="ref72">Pettitt, 1976</xref>) using the <italic>&#x2018;ad.test&#x2019;</italic> function in the &#x2018;kSamples&#x2019; R-Package (<xref ref-type="bibr" rid="ref85">Scholz and Zhu, 2023</xref>). To evaluate if simulated stage elevations were significantly different between alternatives considered in this study, a total of six unique comparisons were made (<xref ref-type="supplementary-material" rid="SM1">Supplementary Table S2</xref>). Other distribution comparison statistics such as the Kolmogorov Smirnov test (&#x2018;<italic>ks.test</italic>&#x2019;) can become too sensitive in large sample sizes (high type II error) when computing test statistics and associated probabilities due to the high sample size of daily simulated stage values; therefore, the Anderson-Darling test was considered.</p>
<p>Using annual summer average stage elevations for each alternative, chlorophyll-a concentration, f<sub>Chla</sub>20, and f<sub>Chla</sub>40 were predicted for the entire period of simulation. For alternative comparison purposes, the average percent difference of chlorophyll-a concentration, f<sub>Chla</sub>20, and f<sub>Chla</sub>40 was calculated for each ecological zone between project alternatives to evaluate the integrated effect of changes in water management and the addition of storage capacity within the system. To avoid pseudo replication of estimated values, predicted chlorophyll-a concentration, f20<sub>Chla</sub>, and f40<sub>Chla</sub> from fixed effects were compared between alternatives using Pairwise Wilcoxon Rank Sum Test (&#x2018;<italic>pairwise.wilcox.test&#x2019;</italic> in the base R-package) with <italic>p</italic>-values being adjusted using the Holm-Bonferroni method. The fixed effects model, often called the &#x201C;mean model&#x201D; or &#x201C;within estimator,&#x201D; refers to the variation between groups. Therefore, in the case of this study, it better represents a comparison between model alternatives. Like the stage-based model, the Lake Okeechobee hydrodynamic and biogeochemical chlorophyll hierarchal additive zonal model (<xref ref-type="disp-formula" rid="EQ3">Equations 3&#x2013;5</xref>; LOK HABAM) compared the average percent difference of predicted chlorophyll-a concentrations for each ecological zone between restoration and operations scenarios.</p>
<p>Due to the nature of GAMs, sharing a simple equation for future use in other code/object-oriented programs or spreadsheet-based platforms is not feasible, a shiny application (and source code) has been developed to extend the functionality of the models presented here. The stage-based mixed models and LOK HABAM predictive functionality is provided as an interactive application<xref ref-type="fn" rid="fn0001"><sup>1</sup></xref> where model alternatives presented in this study or future alternatives can be evaluated. The source code for this shiny application is available in a public repository.<xref ref-type="fn" rid="fn0002"><sup>2</sup></xref></p>
<p>All statistical operations were performed with R &#x00A9; (Ver 4.1.0, R Foundation for Statistical Computing, Vienna Austria). Unless otherwise stated, all statistical operations were performed using the base R library. The critical level of significance was set at <italic>&#x03B1;</italic>&#x202F;=&#x202F;0.05.</p>
</sec>
</sec>
</sec>
<sec sec-type="results" id="sec11">
<title>Results</title>
<sec id="sec12">
<title>Ecological zone factor analysis</title>
<p>Results from the NMDS demonstrated a clear separation of ecological regions for in-lake characteristics, in-lake load estimates, stage and lake inputs (inflow discharge volume and nutrient loading; <xref ref-type="fig" rid="fig2">Figure 2</xref>) with a stress value of 0.14 for the first two dimensions with a relatively high non-metric and linear fit <italic>R</italic><sup>2</sup> values of 0.98 and 0.91, respectively (<xref ref-type="supplementary-material" rid="SM1">Supplementary Figure S1</xref>). Inflow discharge was linked to inflow TP and TN loads, while stage, volume, WRT, TN, temperature, and chlorophyll-a were also interrelated. Meanwhile, TP, SRP, and DIN concentrations were generally associated. Ecological regions were stretched across the first NMDS axis with the littoral zones clustering and pelagic and nearshore zones forming separate, distinct groups (<xref ref-type="fig" rid="fig2">Figure 2</xref>). This observed grouping of ecological zones was confirmed by ANOSIM, showing a significant global difference between groups and significant pairwise differences between pelagic/nearshore and littoral zones, while littoral zones were not significantly different from one another (<xref ref-type="table" rid="tab3">Table 3</xref>).</p>
<fig position="float" id="fig2">
<label>Figure 2</label>
<caption>
<p>Nonmetric dimensional scaling (NMDS) biplot of in-lake and lake input parameters relative to lake ecological regions. Ordination ellipses are based on 95% confidence limit of the NMDS sites score.</p>
</caption>
<graphic xlink:href="frwa-07-1619838-g002.tif">
<alt-text content-type="machine-generated">Non-metric multidimensional scaling (NMDS) plot showing point distributions on NMDS axes 1 and 2. Points are color-coded to represent different water zones: Littoral North (orange), Littoral South (yellow), Littoral West (light blue), Nearshore (blue), and Pelagic (dark blue). Red vectors indicate environmental variables like inflow TP load, inflow TN load, and others. The ellipses highlight clusters within zones.</alt-text>
</graphic>
</fig>
<table-wrap position="float" id="tab3">
<label>Table 3</label>
<caption>
<p>Analysis of similarities results including global (overall) and pairwise comparisons between ecological zones in Lake Okeechobee.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top">Value 1</th>
<th align="left" valign="top">Value 2</th>
<th align="center" valign="top">ANOSIM R</th>
<th align="center" valign="top"><italic>p</italic>-value</th>
</tr>
</thead>
<tbody>
<tr>
<td align="center" valign="middle" colspan="2">Global</td>
<td align="center" valign="middle">0.477</td>
<td align="center" valign="middle"><bold>&#x003C;0.01</bold></td>
</tr>
<tr>
<td align="left" valign="middle">Nearshore</td>
<td align="left" valign="middle">Pelagic</td>
<td align="center" valign="middle">0.493</td>
<td align="center" valign="middle"><bold>&#x003C;0.01</bold></td>
</tr>
<tr>
<td align="left" valign="middle">Nearshore</td>
<td align="left" valign="middle">Littoral North</td>
<td align="center" valign="middle">0.469</td>
<td align="center" valign="middle"><bold>&#x003C;0.01</bold></td>
</tr>
<tr>
<td align="left" valign="middle">Nearshore</td>
<td align="left" valign="middle">Littoral South</td>
<td align="center" valign="middle">0.509</td>
<td align="center" valign="middle"><bold>&#x003C;0.01</bold></td>
</tr>
<tr>
<td align="left" valign="middle">Nearshore</td>
<td align="left" valign="middle">Littoral West</td>
<td align="center" valign="middle">0.410</td>
<td align="center" valign="middle"><bold>&#x003C;0.01</bold></td>
</tr>
<tr>
<td align="left" valign="middle">Pelagic</td>
<td align="left" valign="middle">Littoral North</td>
<td align="center" valign="middle">0.846</td>
<td align="center" valign="middle"><bold>&#x003C;0.01</bold></td>
</tr>
<tr>
<td align="left" valign="middle">Pelagic</td>
<td align="left" valign="middle">Littoral South</td>
<td align="center" valign="middle">0.857</td>
<td align="center" valign="middle"><bold>&#x003C;0.01</bold></td>
</tr>
<tr>
<td align="left" valign="middle">Pelagic</td>
<td align="left" valign="middle">Littoral West</td>
<td align="center" valign="middle">0.827</td>
<td align="center" valign="middle"><bold>&#x003C;0.01</bold></td>
</tr>
<tr>
<td align="left" valign="middle">Littoral North</td>
<td align="left" valign="middle">Littoral South</td>
<td align="center" valign="middle">0.0005</td>
<td align="center" valign="middle">1.00</td>
</tr>
<tr>
<td align="left" valign="middle">Littoral North</td>
<td align="left" valign="middle">Littoral West</td>
<td align="center" valign="middle">&#x2212;0.002</td>
<td align="center" valign="middle">1.00</td>
</tr>
<tr>
<td align="left" valign="middle">Littoral South</td>
<td align="left" valign="middle">Littoral West</td>
<td align="center" valign="middle">0.055</td>
<td align="center" valign="middle">0.17</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p>Bold values indicate <italic>p</italic> &#x003C; 0.05.</p>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="sec13">
<title>Pigment trend models</title>
<p>Chlorophyll-a concentrations varied across space, time, and stage (<xref ref-type="fig" rid="fig3">Figures 3A</xref>&#x2013;<xref ref-type="fig" rid="fig3">D</xref>) with the GAM explaining 75% of the deviance (relative to a null model) and an R<sup>2</sup> of 0.69 (<xref ref-type="table" rid="tab4">Table 4</xref>). The spatial effect of the model (<xref ref-type="fig" rid="fig3">Figure 3D</xref>) varied across the lake with the largest spatial effect located in a region of the southwestern edge of the lake while the lowest spatial effect was adjacent to the southern part of the pelagic zone (<xref ref-type="fig" rid="fig1">Figures 1</xref>, <xref ref-type="fig" rid="fig3">3D</xref>). Temporally, within year (i.e., monthly) effects were greatest in the summer months peaking around July with significant increases being detected between April and June and significant decreases between October and later November (<xref ref-type="fig" rid="fig3">Figure 3B</xref>). Between-year effects (<xref ref-type="fig" rid="fig3">Figure 3C</xref>) varied with some notable fluctuations after major hurricanes and other climatic events. For example, the annual effect significantly declined after 2008 following a tropical storm that relieved regional drought conditions, but increased, while not significant following 2017 (year of Hurricane Irma). The effect of stage elevation varied across the observed range of stage conditions during the 2008 to 2023 POR, with a significant increase between 3.57 and 3.96&#x202F;m NGVD29 and a significant decrease between 4.91 and 5.15&#x202F;m NGVD29 (<xref ref-type="fig" rid="fig3">Figure 3A</xref>).</p>
<fig position="float" id="fig3">
<label>Figure 3</label>
<caption>
<p>Chlorophyll-<italic>a</italic> <bold>(A&#x2013;D)</bold> and phycocyanin <bold>(E&#x2013;H)</bold> spatio-temporal generalized additive model effect plots for stage <bold>(A,E)</bold>, short-term/within-year <bold>(B,F)</bold>, long-term/annual <bold>(C,G)</bold> and spatial <bold>(D,H)</bold> effects with significant changes identified. For each respective effect, splines with significantly increasing and decreasing segments are indicated by red and blue line segments, respectively. Each spline represents the smoothed parameter, along with its 95% confidence interval.</p>
</caption>
<graphic xlink:href="frwa-07-1619838-g003.tif">
<alt-text content-type="machine-generated">Graphs A and E show chlorophyll-a and phycocyanin effects by stage, respectively, with significant increases in red and decreases in blue. Graphs B and F illustrate effects by month and day of year. Graphs C and G indicate effects by year. Maps D and H display spatial effects with contour lines and sites marked by circles, using color gradients to represent effect intensity. Maps include scale bars and arrows indicating north.</alt-text>
</graphic>
</fig>
<table-wrap position="float" id="tab4">
<label>Table 4</label>
<caption>
<p>Spatio-temporal generalized additive model results for chlorophyll-<italic>a</italic> (1) and phycocyanin (2) pigment concentration within Lake Okeechobee.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top">Predicted variable</th>
<th align="left" valign="top">Term</th>
<th align="center" valign="top">Estimate</th>
<th align="center" valign="top">Standard error</th>
<th align="center" valign="top"><italic>t</italic>-value</th>
<th align="center" valign="top"><italic>p</italic>-value</th>
<th align="center" valign="top">edf (Ref df)</th>
<th align="center" valign="top"><italic>F</italic>-value</th>
<th align="center" valign="top"><italic>p</italic>-value</th>
<th align="center" valign="top">Adj <italic>R</italic><sup>2</sup> (Dev. Exp.)</th>
<th align="center" valign="top">Smooth selection criterion</th>
<th align="center" valign="top">Scale (<italic>n</italic>)</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top" rowspan="8">(1) Chlorophyll-a<sup>1</sup></td>
<td align="left" valign="middle">Intercept</td>
<td align="center" valign="middle">2.84</td>
<td align="center" valign="middle">0.09</td>
<td align="center" valign="middle">31.01</td>
<td align="center" valign="middle"><italic>&#x003C;0.01</italic></td>
<td align="center" valign="middle">---</td>
<td align="center" valign="middle">---</td>
<td align="center" valign="middle">---</td>
<td align="center" valign="top" rowspan="8">0.69<break/>(0.75)</td>
<td align="center" valign="top" rowspan="8">18710.42<break/>(fREML)</td>
<td align="center" valign="top" rowspan="8">120.95<break/>(4589)</td>
</tr>
<tr>
<td align="left" valign="middle"><italic>s(CY)</italic></td>
<td align="center" valign="middle">---</td>
<td align="center" valign="middle">---</td>
<td align="center" valign="middle">---</td>
<td align="center" valign="middle">---</td>
<td align="center" valign="middle">4.76<break/>(5.17)</td>
<td align="center" valign="middle">3.29</td>
<td align="center" valign="middle"><italic>&#x003C;0.01</italic></td>
</tr>
<tr>
<td align="left" valign="middle"><italic>s(Month)</italic></td>
<td align="center" valign="middle">---</td>
<td align="center" valign="middle">---</td>
<td align="center" valign="middle">---</td>
<td align="center" valign="middle">---</td>
<td align="center" valign="middle">4.53<break/>(28.00)</td>
<td align="center" valign="middle">28.95</td>
<td align="center" valign="middle"><italic>&#x003C;0.01</italic></td>
</tr>
<tr>
<td align="left" valign="middle"><italic>s(Stage)</italic></td>
<td align="center" valign="middle">---</td>
<td align="center" valign="middle">---</td>
<td align="center" valign="middle">---</td>
<td align="center" valign="middle">---</td>
<td align="center" valign="middle">5.64<break/>(6.13)</td>
<td align="center" valign="middle">2.22</td>
<td align="center" valign="middle"><italic>0.04</italic></td>
</tr>
<tr>
<td align="left" valign="middle"><italic>s(UTMX, UTMY)</italic></td>
<td align="center" valign="middle">---</td>
<td align="center" valign="middle">---</td>
<td align="center" valign="middle">---</td>
<td align="center" valign="middle">---</td>
<td align="center" valign="middle">26.69<break/>(38.00)</td>
<td align="center" valign="middle">24.52</td>
<td align="center" valign="middle"><italic>&#x003C;0.01</italic></td>
</tr>
<tr>
<td align="left" valign="middle"><italic>ti(CY, Month)</italic></td>
<td align="center" valign="middle">---</td>
<td align="center" valign="middle">---</td>
<td align="center" valign="middle">---</td>
<td align="center" valign="middle">---</td>
<td align="center" valign="middle">210.71<break/>(529.00)</td>
<td align="center" valign="middle">3,864,673.90</td>
<td align="center" valign="middle"><italic>&#x003C;0.01</italic></td>
</tr>
<tr>
<td align="left" valign="middle"><italic>ti(CY, UTMX, UTMY)</italic></td>
<td align="center" valign="middle">---</td>
<td align="center" valign="middle">---</td>
<td align="center" valign="middle">---</td>
<td align="center" valign="middle">---</td>
<td align="center" valign="middle">170.91<break/>(398.00)</td>
<td align="center" valign="middle">3.51</td>
<td align="center" valign="middle"><italic>&#x003C;0.01</italic></td>
</tr>
<tr>
<td align="left" valign="middle"><italic>ti(UTMX, UTMY, Month)</italic></td>
<td align="center" valign="middle">---</td>
<td align="center" valign="middle">---</td>
<td align="center" valign="middle">---</td>
<td align="center" valign="middle">---</td>
<td align="center" valign="middle">481.52<break/>(1890.00)</td>
<td align="center" valign="middle">1.56</td>
<td align="center" valign="middle"><italic>&#x003C;0.01</italic></td>
</tr>
<tr>
<td align="left" valign="top" rowspan="7">(2) Phycocyanin<sup>2</sup></td>
<td align="left" valign="middle">Intercept</td>
<td align="center" valign="middle">3.71</td>
<td align="center" valign="middle">0.26</td>
<td align="center" valign="middle">14.14</td>
<td align="center" valign="middle"><italic>&#x003C;0.01</italic></td>
<td align="center" valign="middle">---</td>
<td align="center" valign="middle">---</td>
<td align="center" valign="middle">---</td>
<td align="center" valign="top" rowspan="7">0.92<break/>(0.93)</td>
<td align="center" valign="top" rowspan="7">5346.54<break/>(fREML)</td>
<td align="center" valign="top" rowspan="7">0.7<break/>(3626)</td>
</tr>
<tr>
<td align="left" valign="middle"><italic>s(CY)</italic></td>
<td align="center" valign="middle">---</td>
<td align="center" valign="middle">---</td>
<td align="center" valign="middle">---</td>
<td align="center" valign="middle">---</td>
<td align="center" valign="middle">1.40<break/>(1.44)</td>
<td align="center" valign="middle">12.24</td>
<td align="center" valign="middle"><italic>&#x003C;0.01</italic></td>
</tr>
<tr>
<td align="left" valign="middle"><italic>s(DOY)</italic></td>
<td align="center" valign="middle">---</td>
<td align="center" valign="middle">---</td>
<td align="center" valign="middle">---</td>
<td align="center" valign="middle">---</td>
<td align="center" valign="middle">30.70<break/>(48.00)</td>
<td align="center" valign="middle">50,900.22</td>
<td align="center" valign="middle"><italic>&#x003C;0.01</italic></td>
</tr>
<tr>
<td align="left" valign="middle"><italic>s(Stage)</italic></td>
<td align="center" valign="middle">---</td>
<td align="center" valign="middle">---</td>
<td align="center" valign="middle">---</td>
<td align="center" valign="middle">---</td>
<td align="center" valign="middle">15.86<break/>(17.68)</td>
<td align="center" valign="middle">7.27</td>
<td align="center" valign="middle"><italic>&#x003C;0.01</italic></td>
</tr>
<tr>
<td align="left" valign="middle"><italic>s(UTMY, UTMX)</italic></td>
<td align="center" valign="middle">---</td>
<td align="center" valign="middle">---</td>
<td align="center" valign="middle">---</td>
<td align="center" valign="middle">---</td>
<td align="center" valign="middle">4.73<break/>(8.00)</td>
<td align="center" valign="middle">188.83</td>
<td align="center" valign="middle"><italic>&#x003C;0.01</italic></td>
</tr>
<tr>
<td align="left" valign="middle"><italic>ti(CY, DOY)</italic></td>
<td align="center" valign="middle">---</td>
<td align="center" valign="middle">---</td>
<td align="center" valign="middle">---</td>
<td align="center" valign="middle">---</td>
<td align="center" valign="middle">40.72<break/>(43.89)</td>
<td align="center" valign="middle">1.27</td>
<td align="center" valign="middle">0.12</td>
</tr>
<tr>
<td align="left" valign="middle"><italic>ti(UTMX, UTMY, CY)</italic></td>
<td align="center" valign="middle">---</td>
<td align="center" valign="middle">---</td>
<td align="center" valign="middle">---</td>
<td align="center" valign="middle">---</td>
<td align="center" valign="middle">148.35<break/>(204.00)</td>
<td align="center" valign="middle">14,386.50</td>
<td align="center" valign="middle">0.72</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p><sup>1</sup>Gaussian log link distribution; <sup>2</sup>Tweedie distribution. Minimum selection criteria and method are defined as fREML (restricted maximum likelihood). Other values provided include effective degrees of freedom (edf), reference degrees of freedom (Ref df), adjusted R2 and deviation explained.</p>
</table-wrap-foot>
</table-wrap>
<p>Despite the much shorter period of record and spatial coverage, variation in phycocyanin concentrations across space, time, and stage were also detected (<xref ref-type="fig" rid="fig3">Figures 3E</xref>&#x2013;<xref ref-type="fig" rid="fig3">H</xref>) with the model explaining 93% of the deviance and an <italic>R</italic><sup>2</sup> of 0.92 (<xref ref-type="table" rid="tab4">Table 4</xref>). The spatial effect of the model (<xref ref-type="fig" rid="fig3">Figure 3H</xref>) varied across the lake with the greatest spatial effect along the northern littoral zone and at the center of the lake and the lowest adjacent to the northern and southern littoral zone edge (nearshore zone). Temporally, within-year (i.e., DOY) effects were greatest at the start and end of the year with a double peak in within-year effect with the first smaller peak occurring near the end of July/beginning of August followed by a significant increase and the second peak near the beginning of December. A significant increase in annual effect was detected between late 2020 and late 2022 (<xref ref-type="fig" rid="fig3">Figure 3G</xref>). Despite the relatively short time series, significant changes in model effect were also detected relative to stage elevation with a consistent relative decline starting after 4.25&#x202F;m NGVD29 (<xref ref-type="fig" rid="fig3">Figure 3E</xref>). However, due to the short time-series, the stage effect curve was truncated relative to the longer POR for the chlorophyll model therefore the relationship between phycocyanin concentrations and stage is uncertain when stages are less than 3.81&#x202F;m NGVD29.</p>
</sec>
<sec id="sec14">
<title>Algal risk tool</title>
<p>Due to the limited temporal and spatial coverage of phycocyanin concentrations and the truncated stage conditions, a predictive equation was not developed. The effect of lake stage (constrained to 3.5&#x202F;m) on summer mean chlorophyll-a concentrations was significant, with a coefficient of 0.178 (SE&#x202F;=&#x202F;0.089; t-value&#x202F;=&#x202F;2.0; <italic>p</italic>-value&#x003C;0.01; <xref ref-type="table" rid="tab5">Table 5</xref>; <xref ref-type="fig" rid="fig4">Figure 4</xref>). The random effect of the ecological zone was significant with respect to random effect on chlorophyll-a concentrations (<italic>F</italic>&#x202F;=&#x202F;519.1; <italic>p</italic>-value &#x003C;0.01) and chlorophyll-a and stage (<italic>F</italic>&#x202F;=&#x202F;332.9; <italic>p</italic>-value &#x003C;0.01) with a variance of 0.279 and 0.035, respectively. The deviance explained by the entire model (i.e., conditional deviance explained) was 0.47 (<xref ref-type="table" rid="tab5">Table 5</xref>) meanwhile the deviance explained by just the fixed effects (i.e., marginal) was 0.12. The average MAE, RMSE, and MBE of the five-fold validation were 7.24, 9.24, and 0.27, respectively.</p>
<table-wrap position="float" id="tab5">
<label>Table 5</label>
<caption>
<p>Mixed effect model summary for chlorophyll-<italic>a</italic> concentration (1), frequency of exceeding 20&#x202F;&#x03BC;g L<sup>&#x2013;1</sup> (2), and frequency of exceeding 40&#x202F;&#x03BC;g L<sup>&#x2013;1</sup> (3) within Lake Okeechobee across ecological zones.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top">Variable</th>
<th align="left" valign="top">Effects</th>
<th align="left" valign="top">Ecological zone</th>
<th align="center" valign="top">Estimate</th>
<th align="center" valign="top">Std. error</th>
<th align="center" valign="top">Statistic</th>
<th align="center" valign="top"><italic>p</italic>-value</th>
<th align="center" valign="top">Std.<break/>Dev.</th>
<th align="center" valign="top">log Lik.<sup>1</sup></th>
<th align="center" valign="top">Cond.<break/><italic>R</italic><sup>2</sup></th>
<th align="center" valign="top">Marg.<break/><italic>R</italic><sup>2</sup></th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top" rowspan="5">(1) Chl-a Conc.<sup>2</sup></td>
<td align="left" valign="top" rowspan="2">Fixed</td>
<td align="left" valign="middle">Intercept</td>
<td align="center" valign="middle">2.70</td>
<td align="center" valign="middle">0.25</td>
<td align="center" valign="middle">10.96</td>
<td align="center" valign="middle"><italic>&#x003C; 0.01</italic></td>
<td align="center" valign="middle">---</td>
<td align="center" valign="top" rowspan="5">339.46</td>
<td align="center" valign="top" rowspan="5">0.47</td>
<td align="center" valign="top" rowspan="5">0.12</td>
</tr>
<tr>
<td align="left" valign="middle">Slope</td>
<td align="center" valign="middle">0.18</td>
<td align="center" valign="middle">0.09</td>
<td align="center" valign="middle">2.00</td>
<td align="center" valign="middle"><italic>&#x003C; 0.05</italic></td>
<td align="center" valign="middle">---</td>
</tr>
<tr>
<td align="left" valign="top" rowspan="3">Random</td>
<td align="left" valign="middle">Zone</td>
<td align="center" valign="middle">---</td>
<td align="center" valign="middle">---</td>
<td align="center" valign="middle">519.06</td>
<td align="center" valign="middle"><italic>&#x003C; 0.01</italic></td>
<td align="center" valign="middle">0.53</td>
</tr>
<tr>
<td align="left" valign="middle">Zone, Stage</td>
<td align="center" valign="middle">---</td>
<td align="center" valign="middle">---</td>
<td align="center" valign="middle">332.95</td>
<td align="center" valign="middle"><italic>&#x003C; 0.01</italic></td>
<td align="center" valign="middle">0.19</td>
</tr>
<tr>
<td align="left" valign="middle">Residual</td>
<td align="center" valign="middle">---</td>
<td align="center" valign="middle">---</td>
<td align="center" valign="middle">---</td>
<td align="center" valign="middle">---</td>
<td align="center" valign="middle">0.83</td>
</tr>
<tr>
<td align="left" valign="top" rowspan="4">(2) &#x0192;(Chl-a&#x202F;&#x003E;&#x202F;20&#x202F;&#x03BC;g&#x202F;L<sup>&#x2212;1</sup>)<sup>3</sup></td>
<td align="left" valign="top" rowspan="2">Fixed</td>
<td align="left" valign="middle">Intercept</td>
<td align="center" valign="middle">&#x2212;0.92</td>
<td align="center" valign="middle">0.59</td>
<td align="center" valign="middle">&#x2212;1.56</td>
<td align="center" valign="middle">0.12</td>
<td align="center" valign="middle">---</td>
<td align="center" valign="top" rowspan="4">272.18</td>
<td align="center" valign="top" rowspan="4">0.41</td>
<td align="center" valign="top" rowspan="4">0.05</td>
</tr>
<tr>
<td align="left" valign="middle">Slope</td>
<td align="center" valign="middle">0.26</td>
<td align="center" valign="middle">0.22</td>
<td align="center" valign="middle">1.16</td>
<td align="center" valign="middle">0.25</td>
<td align="center" valign="middle">---</td>
</tr>
<tr>
<td align="left" valign="top" rowspan="2">Random</td>
<td align="left" valign="middle">Zone</td>
<td align="center" valign="middle">---</td>
<td align="center" valign="middle">---</td>
<td align="center" valign="middle">32,882.46</td>
<td align="center" valign="middle"><italic>&#x003C; 0.01</italic></td>
<td align="center" valign="middle">1.30</td>
</tr>
<tr>
<td align="left" valign="middle">Zone, Stage</td>
<td align="center" valign="middle">---</td>
<td align="center" valign="middle">---</td>
<td align="center" valign="middle">24,140.84</td>
<td align="center" valign="middle"><italic>&#x003C; 0.01</italic></td>
<td align="center" valign="middle">0.48</td>
</tr>
<tr>
<td align="left" valign="top" rowspan="4">(3) &#x0192;(Chl-a&#x202F;&#x003E;&#x202F;40&#x202F;&#x03BC;g&#x202F;L<sup>&#x2212;1</sup>)<sup>3</sup></td>
<td align="left" valign="top" rowspan="2">Fixed</td>
<td align="left" valign="middle">Intercept</td>
<td align="center" valign="middle">&#x2212;2.26</td>
<td align="center" valign="middle">0.39</td>
<td align="center" valign="middle">&#x2212;5.83</td>
<td align="center" valign="middle"><italic>&#x003C; 0.01</italic></td>
<td align="center" valign="middle">---</td>
<td align="center" valign="top" rowspan="4">215.52</td>
<td align="center" valign="top" rowspan="4">0.27</td>
<td align="center" valign="top" rowspan="4">0.08</td>
</tr>
<tr>
<td align="left" valign="middle">Slope</td>
<td align="center" valign="middle">0.25</td>
<td align="center" valign="middle">0.15</td>
<td align="center" valign="middle">1.67</td>
<td align="center" valign="middle">0.09</td>
<td align="center" valign="middle">---</td>
</tr>
<tr>
<td align="left" valign="top" rowspan="2">Random</td>
<td align="left" valign="middle">Zone</td>
<td align="center" valign="middle">---</td>
<td align="center" valign="middle">---</td>
<td align="center" valign="middle">2,825.34</td>
<td align="center" valign="middle"><italic>&#x003C; 0.01</italic></td>
<td align="center" valign="middle">0.81</td>
</tr>
<tr>
<td align="left" valign="middle">Zone, Stage</td>
<td align="center" valign="middle">---</td>
<td align="center" valign="middle">---</td>
<td align="center" valign="middle">1,754.00</td>
<td align="center" valign="middle"><italic>&#x003C; 0.01</italic></td>
<td align="center" valign="middle">0.32</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p><sup>1</sup>Log Likelihood estimated by REML. <sup>2</sup>Tweedie log linked distribution. <sup>3</sup>Binomial logit linked distribution. Log likelihood is estimated using restricted maximum likelihood (REML).</p>
</table-wrap-foot>
</table-wrap>
<fig position="float" id="fig4">
<label>Figure 4</label>
<caption>
<p>Summer mean Chlorophyll-<italic>a</italic> concentration <bold>(A&#x2013;E)</bold>, frequency of exceeding 20&#x202F;&#x03BC;g&#x202F;L<sup>&#x2212;1</sup> (f<sub>Chla</sub>20; <bold>F&#x2013;J</bold>), and frequency of exceeding 40&#x202F;&#x03BC;g&#x202F;L<sup>&#x2212;1</sup> (f<sub>Chla</sub>40; <bold>K&#x2013;O</bold>) for the five ecological zones across Lake Okeechobee. Random effect (i.e., ecological specific models; line with shading) and fixed effect (black dashed line) relative to observed values between water years 2000 and 2023 with hurricane years excluded (water years: 2000, 2004,2006,2017, and 2022).</p>
</caption>
<graphic xlink:href="frwa-07-1619838-g004.tif">
<alt-text content-type="machine-generated">A grid of fifteen scatter plots shows chlorophyll-a concentration data across different aquatic habitats: Littoral North, Littoral South, Littoral West, Nearshore, and Pelagic. Each row represents different thresholds or conditions for chlorophyll concentration. The x-axis for all plots is labeled &#x201C;Stage &#x003E;3.5 m, NGVD29.&#x201D; Black dashed lines indicate fixed effects, and shaded areas represent random effects with a 95% confidence interval. Dots of various colors correspond to each habitat and show measured data points.</alt-text>
</graphic>
</fig>
<p>The effect of lake stage (constrained to 3.5&#x202F;m) on summer f<sub>Chla</sub>20 was not significant, with a coefficient of 0.263 (SE&#x202F;=&#x202F;0.1973; z-value&#x202F;=&#x202F;1.33; <italic>p</italic>-value&#x202F;=&#x202F;0.18; <xref ref-type="table" rid="tab5">Table 5</xref>; <xref ref-type="fig" rid="fig4">Figure 4</xref>). However, the ecological zone had a significant random effect on f<sub>Chla</sub>20 (<italic>&#x03C7;</italic><sup>2</sup>&#x202F;=&#x202F;14,542,575; <italic>p</italic>-value &#x003C;0.01) and f<sub>Chla</sub>20 and stage (<italic>&#x03C7;</italic><sup>2</sup>&#x202F;=&#x202F;13,042,007; <italic>p</italic>-value &#x003C;0.01) with a variance of 1.68 and 0.235, respectively. The deviance explained by the entire model (i.e., conditional deviance explained) was 0.42 (<xref ref-type="table" rid="tab5">Table 5</xref>) meanwhile the deviance explained by just the fixed effects (i.e., marginal) was 0.05. The average MAE, RMSE, and MBE of the five-fold validation were 0.14, 1.81, and 0.02, respectively.</p>
<p>The effect of lake stage (constrained to 3.5&#x202F;m) on summer f<sub>Chla</sub>40 was not significant, with a coefficient of 0.25 (SE&#x202F;=&#x202F;0.15; z-value&#x202F;=&#x202F;1.68; <italic>p</italic>-value&#x202F;=&#x202F;0.09; <xref ref-type="table" rid="tab5">Table 5</xref>; <xref ref-type="fig" rid="fig4">Figure 4</xref>). The ecological zone had a significant random effect on f<sub>Chla</sub>40 (<italic>&#x03C7;</italic><sup>2</sup>&#x202F;=&#x202F;2,825; <italic>p</italic>-value &#x003C;0.01) and f<sub>Chla</sub>40 and stage (<italic>&#x03C7;</italic><sup>2</sup>&#x202F;=&#x202F;1754; <italic>p</italic>-value &#x003C;0.01) with a variance of 0.660 and 0.100, respectively. The deviance explained by the entire model (i.e., conditional deviance explained) was 0.27 (<xref ref-type="table" rid="tab5">Table 5</xref>) meanwhile the deviance explained by just the fixed effects (i.e., marginal) was 0.08. The average MAE, RMSE, and MBE of the five-fold validation were 0.10, 0.13, and 0.02, respectively.</p>
</sec>
<sec id="sec15">
<title>Biogeochemical algal model</title>
<p>Summer average chlorophyll-a varied significantly between ecological regions, with water depth being a significant effect for nearshore and littoral west ecological zones (<xref ref-type="supplementary-material" rid="SM1">Supplementary Table S4</xref>). Additionally, TP and DIN parametric terms were significantly different from zero (<xref ref-type="supplementary-material" rid="SM1">Supplementary Table S4</xref>), while the interaction of TP and DIN did not significantly vary between ecological regions, including it in the model did improve the predictive capabilities of the model. However, TP and DIN interaction and mean depth by ecological zone resulted in a non-linear relationship for most ecological regions (based on effective degrees of freedom (edf) values; <xref ref-type="supplementary-material" rid="SM1">Supplementary Table S4</xref>). For the testing dataset, the chlorophyll-a model resulted in an <italic>R</italic><sup>2</sup> of 0.51 (observed vs. predicted during the training period), KGE of 0.59, MAE of 5.61&#x202F;&#x03BC;g&#x202F;L<sup>&#x2212;1</sup>, RMSE of 7.45&#x202F;&#x03BC;g&#x202F;L<sup>&#x2212;1</sup><sub>,</sub> and MBE of &#x2212;2.83&#x202F;&#x03BC;g&#x202F;L<sup>&#x2212;1</sup>. For validation, the MAE, RMSE, and MBE were 8.75, 11.29, and &#x2212;0.47&#x202F;&#x03BC;g&#x202F;L<sup>&#x2212;1</sup>, respectively as estimated by the LOOCV procedure. The resulting model produced a model fit (<italic>R</italic><sup>2</sup><sub>adj</sub>) of 0.70 and a deviance explained of 83.5% (<xref ref-type="supplementary-material" rid="SM1">Supplementary Table S4</xref>).</p>
<p>Summer average TP concentration varied between ecological zones, outflow discharge volume, and lake volume for most ecological zones (littoral south, littoral west, and nearshore; <xref ref-type="supplementary-material" rid="SM1">Supplementary Table S4</xref>). Based on the edf values of the lake volume by ecological zone smoothing terms, summer TP was linear and not significantly different from zero for littoral north and pelagic zones, the nearshore zone was linear but significantly different from zero (with a slight positive slope based on first derivative values) and the littoral south and littoral west were non-linear. For the testing dataset, the TP model resulted in an <italic>R</italic><sup>2</sup> of 0.45, KGE of 0.49, MAE of 0.040&#x202F;mg&#x202F;L<sup>&#x2212;1</sup>, RMSE of 0.044&#x202F;mg&#x202F;L<sup>&#x2212;1</sup><sub>,</sub> and MBE of 0.038&#x202F;mg&#x202F;L<sup>&#x2212;1</sup>. For validation, the MAE, RMSE, and MBE were 0.042, 0.052, and &#x2212;0.0002&#x202F;mg&#x202F;L<sup>&#x2212;1</sup>, respectively as estimated by the LOOCV procedure. The resulting model produced a model fit (<italic>R</italic><sup>2</sup><sub>adj</sub>) of 0.64 and a deviance explained of 70.8% (<xref ref-type="supplementary-material" rid="SM1">Supplementary Table S4</xref>).</p>
<p>Summer average DIN concentrations varied between ecological zones, outflow discharge volume, and WRT, specifically within the littoral north zone. For the testing dataset, the DIN model resulted in an R<sup>2</sup> of 0.32, KGE of 0.22, MAE of 0.039&#x202F;mg&#x202F;L<sup>&#x2212;1</sup>, RMSE of 0.048&#x202F;mg&#x202F;L<sup>&#x2212;1</sup><sub>,</sub> and MBE of 0.025&#x202F;mg&#x202F;L<sup>&#x2212;1</sup>. For validation, the MAE, RMSE, and MBE were 0.078, 0.100, and &#x2212;0.009&#x202F;mg&#x202F;L<sup>&#x2212;1</sup>, respectively as estimated by the LOOCV procedure. The resulting model produced a model fit (<italic>R</italic><sup>2</sup><sub>adj</sub>) of 0.58 and a deviance explained of 61.2% (<xref ref-type="supplementary-material" rid="SM1">Supplementary Table S4</xref>).</p>
<sec id="sec16">
<title>Application of algal risk models</title>
<p>Over the simulation periods, among the four alternatives, daily stage elevation ranged from 2.5 to 5.4&#x202F;m (NGVD29; <xref ref-type="supplementary-material" rid="SM1">Supplementary Table S5</xref>). Daily stage distributions among alternatives were significantly different (<xref ref-type="table" rid="tab6">Table 6</xref>; <xref ref-type="fig" rid="fig5">Figure 5</xref>). Generally, NA25 has the lowest stage elevations while PA25 is the highest with the greatest difference in the two stage duration curves (or cumulative distribution curves) occurring at 4.75&#x202F;m NVGD29 (<xref ref-type="fig" rid="fig5">Figures 5A</xref>,<xref ref-type="fig" rid="fig5">C</xref>,<xref ref-type="fig" rid="fig5">D</xref>). Meanwhile, the FWOLL and LCR1 stage duration curves fell between those of NA25 and PA25, with the latter two being closer together but showing a notable shift in stage timing (<xref ref-type="fig" rid="fig5">Figures 5B</xref>,<xref ref-type="fig" rid="fig5">E</xref>,<xref ref-type="fig" rid="fig5">F</xref>). LCR1 further reduced high stages and decreased the occurrence of relatively low stage conditions (&#x003C;4.0&#x202F;m NGVD29). The greatest difference between FWOLL and LCR1 occurred at 3.65&#x202F;m NGVD29 (<xref ref-type="fig" rid="fig5">Figure 5B</xref>).</p>
<table-wrap position="float" id="tab6">
<label>Table 6</label>
<caption>
<p>Comparison of daily stage elevations over the entire period of simulation (1) and summer only (2) between all unique combinations of alternatives using the two-sample Anderson-Darling test.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top">Period</th>
<th align="center" valign="top">Alt 1</th>
<th align="center" valign="top">Alt 2</th>
<th align="center" valign="top">A<sup>2</sup><break/>statistic</th>
<th align="center" valign="top"><italic>p</italic>-value</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top" rowspan="6">(1) All</td>
<td align="center" valign="middle">NA25</td>
<td align="center" valign="middle">PA25</td>
<td align="center" valign="middle">636.7</td>
<td align="center" valign="middle"><bold>&#x003C;0.01</bold></td>
</tr>
<tr>
<td align="center" valign="middle">NA25</td>
<td align="center" valign="middle">FWOLL</td>
<td align="center" valign="middle">98.7</td>
<td align="center" valign="middle"><bold>&#x003C;0.01</bold></td>
</tr>
<tr>
<td align="center" valign="middle">NA25</td>
<td align="center" valign="middle">LCR1</td>
<td align="center" valign="middle">107.0</td>
<td align="center" valign="middle"><bold>&#x003C;0.01</bold></td>
</tr>
<tr>
<td align="center" valign="middle">PA25</td>
<td align="center" valign="middle">FWOLL</td>
<td align="center" valign="middle">246.4</td>
<td align="center" valign="middle"><bold>&#x003C;0.01</bold></td>
</tr>
<tr>
<td align="center" valign="middle">PA25</td>
<td align="center" valign="middle">LCR1</td>
<td align="center" valign="middle">386.3</td>
<td align="center" valign="middle"><bold>&#x003C;0.01</bold></td>
</tr>
<tr>
<td align="center" valign="middle">FWOLL</td>
<td align="center" valign="middle">LCR1</td>
<td align="center" valign="middle">69.7</td>
<td align="center" valign="middle"><bold>&#x003C;0.01</bold></td>
</tr>
<tr>
<td align="left" valign="top" rowspan="6">(2) Summer</td>
<td align="center" valign="middle">NA25</td>
<td align="center" valign="middle">PA25</td>
<td align="center" valign="middle">247.9</td>
<td align="center" valign="middle"><bold>&#x003C;0.01</bold></td>
</tr>
<tr>
<td align="center" valign="middle">NA25</td>
<td align="center" valign="middle">FWOLL</td>
<td align="center" valign="middle">42.4</td>
<td align="center" valign="middle"><bold>&#x003C;0.01</bold></td>
</tr>
<tr>
<td align="center" valign="middle">NA25</td>
<td align="center" valign="middle">LCR1</td>
<td align="center" valign="middle">48.6</td>
<td align="center" valign="middle"><bold>&#x003C;0.01</bold></td>
</tr>
<tr>
<td align="center" valign="middle">PA25</td>
<td align="center" valign="middle">FWOLL</td>
<td align="center" valign="middle">98.9</td>
<td align="center" valign="middle"><bold>&#x003C;0.01</bold></td>
</tr>
<tr>
<td align="center" valign="middle">PA25</td>
<td align="center" valign="middle">LCR1</td>
<td align="center" valign="middle">129.8</td>
<td align="center" valign="middle"><bold>&#x003C;0.01</bold></td>
</tr>
<tr>
<td align="center" valign="middle">FWOLL</td>
<td align="center" valign="middle">LCR1</td>
<td align="center" valign="middle">28.3</td>
<td align="center" valign="middle"><bold>&#x003C;0.01</bold></td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p>Bold values indicate <italic>p</italic> &#x003C; 0.05.</p>
</table-wrap-foot>
</table-wrap>
<fig position="float" id="fig5">
<label>Figure 5</label>
<caption>
<p>Stage duration curves for <bold>(A)</bold> the Lake Okeechobee System Operating Manual evaluation between the baseline (NA25) and preferred alternative (PA25) and <bold>(B)</bold> the Lake Okeechobee Component a Reservoir evaluation between baseline (FWOLL) and preferred alternative (LCR1) with the greatest difference in duration curves identified. For comparison, each plot has all alternatives presented but de-emphasized depending on the focus (i.e., LOSOM <bold>(A)</bold> presents both LOSOM and LOCAR with LOCAR alternatives in a light shade of color). Density plots of daily stage elevation during the period of simulation for <bold>(C)</bold> NA25, <bold>(D)</bold> PA25, <bold>(E)</bold> FWOLL, and <bold>(F)</bold> LCR1.</p>
</caption>
<graphic xlink:href="frwa-07-1619838-g005.tif">
<alt-text content-type="machine-generated">Panel A shows LOSOM stage elevation curves comparing LOSOM-NA25 and LOSOM-PA25, highlighting greatest differences in green. Panel B depicts LOCAR stage elevation curves for LOCAR-FWOLL and LOCAR-LCR1. Panels C, D, E, and F display density plots of stage distributions for NA25, PA25, FWOLL, and LCR1 respectively, using colored shaded regions for differentiation.</alt-text>
</graphic>
</fig>
<p>Mean predicted chlorophyll-a concentrations ranged from 7.6 to 55.6&#x202F;&#x03BC;g&#x202F;L<sup>&#x2212;1</sup> for random effects (ecological zones) and 14.9 to 35.1&#x202F;&#x03BC;g&#x202F;L<sup>&#x2212;1</sup> for fixed effects (<xref ref-type="supplementary-material" rid="SM1">Supplementary Table S6</xref>). Predicted f<sub>Chla</sub>20 values ranged from 0.05 to 0.89 (proportion) for random effects and 0.29 to 0.58 for fixed effects (<xref ref-type="supplementary-material" rid="SM1">Supplementary Table S6</xref>). Finally, predicted f<sub>Chla</sub>40 values ranged from 0.03 to 0.52 for random effects and 0.09 to 0.26 for fixed effects (<xref ref-type="supplementary-material" rid="SM1">Supplementary Table S6</xref>). In most cases, chlorophyll-a concentration, f<sub>Chla</sub>20, and f<sub>Chla</sub>40 increased between NA25 and PA25, with the greatest difference in all variables observed in the Littoral South ecological region (<xref ref-type="fig" rid="fig6">Figure 6</xref>; <xref ref-type="table" rid="tab7">Table 7</xref>). For most ecological regions, chlorophyll variables showed a relative decrease or remained unchanged (&#x00B1;5%) between PA25 and FWOLL, as well as between FWOLL and LCR1 alternatives (<xref ref-type="fig" rid="fig6">Figure 6</xref>; <xref ref-type="table" rid="tab7">Table 7</xref>). Finally, the comparison between PA25 and LCR1 indicated a decrease or relatively no change in bloom conditions across ecological zones (<xref ref-type="fig" rid="fig6">Figure 6</xref>, <xref ref-type="table" rid="tab7">Table 7</xref>).</p>
<fig position="float" id="fig6">
<label>Figure 6</label>
<caption>
<p>Boxplot of the 52-year period of simulation for each ecological zone (<bold>A&#x2013;E</bold>, <bold>G&#x2013;K</bold> and <bold>M&#x2013;Q</bold>; i.e. random effects) and lake-wide (<bold>F,L</bold> and <bold>R</bold>; fixed effect) predictions of chlorophyll-a concentration <bold>(A&#x2013;F)</bold>, frequency of exceeding 20&#x202F;&#x03BC;g&#x202F;L<sup>&#x2212;1</sup> <bold>(G&#x2013;L)</bold> and frequency of exceeding 40&#x202F;&#x03BC;g&#x202F;L<sup>&#x2212;1</sup> <bold>(M&#x2013;R)</bold> across Lake Okeechobee and alternatives.</p>
</caption>
<graphic xlink:href="frwa-07-1619838-g006.tif">
<alt-text content-type="machine-generated">Box plots displaying chlorophyll-a concentration and frequency above 20 and 40 micrograms per liter across six lake regions: Littoral North, Littoral South, Littoral West, Nearshore, Pelagic, and Entire Lake. Notable variations occur in Littoral South and West, with consistently lower values in Pelagic. Each subplot uses alternatives NA25, PA25, FWOLL and LCR1 for comparison.</alt-text>
</graphic>
</fig>
<table-wrap position="float" id="tab7">
<label>Table 7</label>
<caption>
<p>Period of simulation mean and mean percent difference of predicted chlorophyll-a concentration (1), frequency of exceeding 20&#x202F;&#x03BC;g L<sup>&#x2013;1</sup> (2), and frequency of exceeding 40&#x202F;&#x03BC;g L<sup>&#x2013;1</sup> (3) across ecological zones and alternatives.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th colspan="2"></th>
<th align="center" valign="top" colspan="4">Mean</th>
<th align="center" valign="top" colspan="4">Percent difference<sup>1</sup></th>
</tr>
<tr>
<th align="left" valign="middle">Variable</th>
<th align="left" valign="middle">Ecological zone</th>
<th align="center" valign="middle">NA25</th>
<th align="center" valign="middle">PA25</th>
<th align="center" valign="middle">FWOLL</th>
<th align="center" valign="middle">LCR1</th>
<th align="center" valign="middle">NA25<break/>x<break/>PA25<sup>1</sup></th>
<th align="center" valign="middle">PA25<break/>x<break/>FWOLL<sup>1</sup></th>
<th align="center" valign="middle">FWOLL<break/>x<break/>LCR1<sup>1</sup></th>
<th align="center" valign="middle">PA25<break/>x<break/>LCR1<sup>1</sup></th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top" rowspan="5">(1) Chl-a Conc. (&#x03BC;g&#x202F;L<sup>&#x2212;1</sup>)</td>
<td align="left" valign="top">Littoral North</td>
<td align="center" valign="middle">27.54</td>
<td align="center" valign="middle">27.97</td>
<td align="center" valign="middle">27.68</td>
<td align="center" valign="middle">27.69</td>
<td align="center" valign="middle">1.6</td>
<td align="center" valign="middle">&#x2212;1.0</td>
<td align="center" valign="middle">0.0</td>
<td align="center" valign="middle">&#x2212;1.0</td>
</tr>
<tr>
<td align="left" valign="top">Littoral South</td>
<td align="center" valign="middle">14.51</td>
<td align="center" valign="middle">20.23</td>
<td align="center" valign="middle">16.51</td>
<td align="center" valign="middle">16.01</td>
<td align="center" valign="middle">39.4</td>
<td align="center" valign="middle">&#x2212;18.4</td>
<td align="center" valign="middle">&#x2212;3.0</td>
<td align="center" valign="middle">&#x2212;26.3</td>
</tr>
<tr>
<td align="left" valign="top">Littoral West</td>
<td align="center" valign="middle">16.92</td>
<td align="center" valign="middle">20.91</td>
<td align="center" valign="middle">18.29</td>
<td align="center" valign="middle">18.07</td>
<td align="center" valign="middle">23.6</td>
<td align="center" valign="middle">&#x2212;12.5</td>
<td align="center" valign="middle">&#x2212;1.2</td>
<td align="center" valign="middle">&#x2212;15.7</td>
</tr>
<tr>
<td align="left" valign="top">Nearshore</td>
<td align="center" valign="middle">19.00</td>
<td align="center" valign="middle">21.16</td>
<td align="center" valign="middle">19.72</td>
<td align="center" valign="middle">19.68</td>
<td align="center" valign="middle">11.4</td>
<td align="center" valign="middle">&#x2212;6.8</td>
<td align="center" valign="middle">&#x2212;0.2</td>
<td align="center" valign="middle">&#x2212;7.5</td>
</tr>
<tr>
<td align="left" valign="top">Pelagic</td>
<td align="center" valign="middle">21.62</td>
<td align="center" valign="middle">21.60</td>
<td align="center" valign="middle">21.62</td>
<td align="center" valign="middle">21.61</td>
<td align="center" valign="middle">&#x2212;0.1</td>
<td align="center" valign="middle">0.1</td>
<td align="center" valign="middle">&#x2212;0.0</td>
<td align="center" valign="middle">0.1</td>
</tr>
<tr>
<td align="left" valign="top" rowspan="5">(2) &#x0192;(Chl-a&#x202F;&#x003E;&#x202F;20&#x202F;&#x03BC;g&#x202F;L<sup>&#x2212;1</sup>)</td>
<td align="left" valign="top">Littoral North</td>
<td align="center" valign="middle">0.56</td>
<td align="center" valign="middle">0.54</td>
<td align="center" valign="middle">0.55</td>
<td align="center" valign="middle">0.55</td>
<td align="center" valign="middle">&#x2212;2.3</td>
<td align="center" valign="middle">1.6</td>
<td align="center" valign="middle">&#x2212;0.1</td>
<td align="center" valign="middle">1.5</td>
</tr>
<tr>
<td align="left" valign="top">Littoral South</td>
<td align="center" valign="middle">0.23</td>
<td align="center" valign="middle">0.34</td>
<td align="center" valign="middle">0.27</td>
<td align="center" valign="middle">0.26</td>
<td align="center" valign="middle">49.8</td>
<td align="center" valign="middle">&#x2212;22.1</td>
<td align="center" valign="middle">&#x2212;1.1</td>
<td align="center" valign="middle">&#x2212;29.8</td>
</tr>
<tr>
<td align="left" valign="top">Littoral West</td>
<td align="center" valign="middle">0.34</td>
<td align="center" valign="middle">0.36</td>
<td align="center" valign="middle">0.34</td>
<td align="center" valign="middle">0.35</td>
<td align="center" valign="middle">8.6</td>
<td align="center" valign="middle">&#x2212;5.3</td>
<td align="center" valign="middle">0.2</td>
<td align="center" valign="middle">&#x2212;5.4</td>
</tr>
<tr>
<td align="left" valign="top">Nearshore</td>
<td align="center" valign="middle">0.33</td>
<td align="center" valign="middle">0.36</td>
<td align="center" valign="middle">0.34</td>
<td align="center" valign="middle">0.34</td>
<td align="center" valign="middle">9.2</td>
<td align="center" valign="middle">&#x2212;5.6</td>
<td align="center" valign="middle">0.2</td>
<td align="center" valign="middle">&#x2212;5.8</td>
</tr>
<tr>
<td align="left" valign="top">Pelagic</td>
<td align="center" valign="middle">0.45</td>
<td align="center" valign="middle">0.44</td>
<td align="center" valign="middle">0.45</td>
<td align="center" valign="middle">0.45</td>
<td align="center" valign="middle">&#x2212;3.6</td>
<td align="center" valign="middle">2.5</td>
<td align="center" valign="middle">&#x2212;0.2</td>
<td align="center" valign="middle">2.3</td>
</tr>
<tr>
<td align="left" valign="top" rowspan="5">(3) &#x0192;(Chl-a&#x202F;&#x003E;&#x202F;40&#x202F;&#x03BC;g&#x202F;L<sup>&#x2212;1</sup>)</td>
<td align="left" valign="top">Littoral North</td>
<td align="center" valign="middle">0.21</td>
<td align="center" valign="middle">0.21</td>
<td align="center" valign="middle">0.21</td>
<td align="center" valign="middle">0.21</td>
<td align="center" valign="middle">&#x2212;0.6</td>
<td align="center" valign="middle">0.4</td>
<td align="center" valign="middle">&#x2212;0.0</td>
<td align="center" valign="middle">0.4</td>
</tr>
<tr>
<td align="left" valign="top">Littoral South</td>
<td align="center" valign="middle">0.10</td>
<td align="center" valign="middle">0.17</td>
<td align="center" valign="middle">0.13</td>
<td align="center" valign="middle">0.12</td>
<td align="center" valign="middle">59.0</td>
<td align="center" valign="middle">&#x2212;23.9</td>
<td align="center" valign="middle">&#x2212;4.6</td>
<td align="center" valign="middle">&#x2212;37.7</td>
</tr>
<tr>
<td align="left" valign="top">Littoral West</td>
<td align="center" valign="middle">0.15</td>
<td align="center" valign="middle">0.17</td>
<td align="center" valign="middle">0.15</td>
<td align="center" valign="middle">0.15</td>
<td align="center" valign="middle">14.8</td>
<td align="center" valign="middle">&#x2212;8.5</td>
<td align="center" valign="middle">&#x2212;0.2</td>
<td align="center" valign="middle">&#x2212;9.6</td>
</tr>
<tr>
<td align="left" valign="top">Nearshore</td>
<td align="center" valign="middle">0.11</td>
<td align="center" valign="middle">0.13</td>
<td align="center" valign="middle">0.11</td>
<td align="center" valign="middle">0.11</td>
<td align="center" valign="middle">21.3</td>
<td align="center" valign="middle">&#x2212;11.6</td>
<td align="center" valign="middle">&#x2212;0.8</td>
<td align="center" valign="middle">&#x2212;14.0</td>
</tr>
<tr>
<td align="left" valign="top">Pelagic</td>
<td align="center" valign="middle">0.12</td>
<td align="center" valign="middle">0.12</td>
<td align="center" valign="middle">0.12</td>
<td align="center" valign="middle">0.12</td>
<td align="center" valign="middle">0.1</td>
<td align="center" valign="middle">&#x2212;0.0</td>
<td align="center" valign="middle">0.0</td>
<td align="center" valign="middle">&#x2212;0.0</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p><sup>1</sup>Calculated as [(Alt 2 - Alt 1)/Alt 1] &#x002A; 100.</p>
</table-wrap-foot>
</table-wrap>
<p>All chlorophyll parameters (i.e., concentration, f<sub>Chla</sub>20, and f<sub>Chla</sub>40) varied among alternatives (<xref ref-type="supplementary-material" rid="SM1">Supplementary Table S7</xref>) and across ecological zones (<xref ref-type="supplementary-material" rid="SM1">Supplementary Table S7</xref>; <xref ref-type="fig" rid="fig6">Figure 6</xref>). Since the models were developed using the annual summer average stages, each variable exhibited similar responses specific to the parameter of interest. Generally, the littoral north and pelagic zones exhibited the least variability in predicted chlorophyll concentrations and bloom categories (<xref ref-type="fig" rid="fig6">Figures 6A</xref>,<xref ref-type="fig" rid="fig6">E</xref>) while the other zones (<xref ref-type="fig" rid="fig6">Figures 6B</xref>,<xref ref-type="fig" rid="fig6">C</xref>,<xref ref-type="fig" rid="fig6">D</xref>) demonstrated notable variability among alternatives. Regardless of the slight lack of sensitivity in some regions (<xref ref-type="fig" rid="fig6">Figures 6A</xref>&#x2013;<xref ref-type="fig" rid="fig6">E</xref>), there are significant differences in chlorophyll-a concentrations and exceedance rates among alternatives (<xref ref-type="fig" rid="fig6">Figure 6F</xref>; <xref ref-type="supplementary-material" rid="SM1">Supplementary Table S7</xref>). Chlorophyll-a concentrations and exceedance frequencies were significantly different between NA25 and PA25 and all other alternatives while FWOLL and LCR1 were similar (<xref ref-type="supplementary-material" rid="SM1">Supplementary Table S7</xref>; <xref ref-type="fig" rid="fig6">Figures 6F</xref>,<xref ref-type="fig" rid="fig6">L</xref>,<xref ref-type="fig" rid="fig6">R</xref>).</p>
<p>Predicted chlorophyll-a concentrations from LOK HABAM ranged from 4.5 to 113.5&#x202F;&#x03BC;g&#x202F;L<sup>&#x2212;1</sup> across all alternatives and ecological zones. Predicted chlorophyll-a values from LOK HABAM varied among alternatives and ecological zones (<xref ref-type="fig" rid="fig7">Figures 7A</xref>&#x2013;<xref ref-type="fig" rid="fig7">E</xref>). Due to the much more complex nature of LOK HABAM relative to the stage-only model (above), chlorophyll-a concentrations demonstrated more variability between zones and alternatives, especially in the pelagic and littoral north zones (<xref ref-type="fig" rid="fig6">Figures 6E</xref>, <xref ref-type="fig" rid="fig7">7E</xref>). Additionally, TP and DIN concentrations varied between zones and alternatives (<xref ref-type="fig" rid="fig7">Figures 7F</xref>&#x2013;<xref ref-type="fig" rid="fig7">O</xref>). Consistent with the stage-based model, the average percent difference between NA25 and PA25 resulted in an increase in chlorophyll-a concentrations with the largest difference being observed in the littoral south zone (<xref ref-type="table" rid="tab8">Table 8</xref>). Overall, across all zones a decrease in chlorophyll-a concentration up to 18.3% in the littoral south zone was detected between PA25 and FWOLL (<xref ref-type="table" rid="tab8">Table 8</xref>). Little change in chlorophyll-a concentrations was predicted between FWOLL and LCR1 with littoral west seeing the largest percent increase of 5.2% (<xref ref-type="table" rid="tab8">Table 8</xref>). Finally, the comparison of predicted chlorophyll-a concentrations between PA25 and LCR1 resulted in a net improvement across all ecological zones (<xref ref-type="table" rid="tab8">Table 8</xref>).</p>
<fig position="float" id="fig7">
<label>Figure 7</label>
<caption>
<p>Boxplot of the 52-year period of simulation for each ecological zone predictions of chlorophyll-a concentration <bold>(A&#x2013;E)</bold>, total phosphorus (TP) concentrations <bold>(F&#x2013;J)</bold>, and dissolved inorganic nitrogen (DIN) concentrations <bold>(K&#x2013;O)</bold> across Lake Okeechobee and alternatives.</p>
</caption>
<graphic xlink:href="frwa-07-1619838-g007.tif">
<alt-text content-type="machine-generated">Box plots comparing concentrations of chlorophyll-a, total phosphorus, and dissolved inorganic nitrogen across five aquatic zones: Littoral North, Littoral South, Littoral West, Nearshore, and Pelagic. Each row represents a different nutrient concentration: Chl-a, TP, and DIN, measured in micrograms or milligrams per liter. The plots show data variability and medians with different color schemes for each zone.</alt-text>
</graphic>
</fig>
<table-wrap position="float" id="tab8">
<label>Table 8</label>
<caption>
<p>Period of simulation mean and mean percent difference of predicted chlorophyll-a concentration (1), total phosphorus (TP) concentration (2), and dissolved inorganic nitrogen (DIN) concentration (3) across ecological zones and alternatives.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th colspan="2"></th>
<th align="center" valign="top" colspan="4">Mean</th>
<th align="center" valign="top" colspan="4">Percent Difference<sup>1</sup></th>
</tr>
<tr>
<th align="left" valign="middle">Variable</th>
<th align="left" valign="middle">Ecological zone</th>
<th align="center" valign="middle">NA25</th>
<th align="center" valign="middle">PA25</th>
<th align="center" valign="middle">FWOLL</th>
<th align="center" valign="middle">LCR1</th>
<th align="center" valign="middle">NA25<break/>x<break/>PA25<sup>1</sup></th>
<th align="center" valign="middle">PA25<break/>x<break/>FWOLL<sup>1</sup></th>
<th align="center" valign="middle">FWOLL<break/>x<break/>LCR1<sup>1</sup></th>
<th align="center" valign="middle">PA25<break/>x<break/>LCR1<sup>1</sup></th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top" rowspan="5">(1) Chl-a Conc. (&#x03BC;g&#x202F;L<sup>&#x2212;1</sup>)</td>
<td align="left" valign="top">Littoral North</td>
<td align="center" valign="middle">32.2</td>
<td align="center" valign="middle">31.8</td>
<td align="center" valign="middle">31.6</td>
<td align="center" valign="middle">31.4</td>
<td align="center" valign="middle">&#x2212;1.3</td>
<td align="center" valign="middle">&#x2212;0.7</td>
<td align="center" valign="middle">&#x2212;0.7</td>
<td align="center" valign="middle">&#x2212;1.4</td>
</tr>
<tr>
<td align="left" valign="top">Littoral South</td>
<td align="center" valign="middle">15.5</td>
<td align="center" valign="middle">22.0</td>
<td align="center" valign="middle">18.0</td>
<td align="center" valign="middle">17.9</td>
<td align="center" valign="middle">41.9</td>
<td align="center" valign="middle">&#x2212;18.3</td>
<td align="center" valign="middle">&#x2212;0.1</td>
<td align="center" valign="middle">&#x2212;22.5</td>
</tr>
<tr>
<td align="left" valign="top">Littoral West</td>
<td align="center" valign="middle">19.5</td>
<td align="center" valign="middle">21.1</td>
<td align="center" valign="middle">19.3</td>
<td align="center" valign="middle">20.3</td>
<td align="center" valign="middle">8.0</td>
<td align="center" valign="middle">&#x2212;8.6</td>
<td align="center" valign="middle">5.2</td>
<td align="center" valign="middle">&#x2212;4.0</td>
</tr>
<tr>
<td align="left" valign="top">Nearshore</td>
<td align="center" valign="middle">20.2</td>
<td align="center" valign="middle">24.5</td>
<td align="center" valign="middle">21.3</td>
<td align="center" valign="middle">22.0</td>
<td align="center" valign="middle">21.3</td>
<td align="center" valign="middle">&#x2212;12.7</td>
<td align="center" valign="middle">3.3</td>
<td align="center" valign="middle">&#x2212;10.9</td>
</tr>
<tr>
<td align="left" valign="top">Pelagic</td>
<td align="center" valign="middle">23.9</td>
<td align="center" valign="middle">24.3</td>
<td align="center" valign="middle">23.8</td>
<td align="center" valign="middle">24.3</td>
<td align="center" valign="middle">1.7</td>
<td align="center" valign="middle">&#x2212;2.0</td>
<td align="center" valign="middle">1.9</td>
<td align="center" valign="middle">&#x2212;0.2</td>
</tr>
<tr>
<td align="left" valign="top" rowspan="5">(2) TP Conc. (&#x03BC;g&#x202F;L<sup>&#x2212;1</sup>)</td>
<td align="left" valign="top">Littoral North</td>
<td align="center" valign="middle">91</td>
<td align="center" valign="middle">90</td>
<td align="center" valign="middle">91</td>
<td align="center" valign="middle">91</td>
<td align="center" valign="middle">&#x2212;0.7</td>
<td align="center" valign="middle">0.7</td>
<td align="center" valign="middle">0.2</td>
<td align="center" valign="middle">1.0</td>
</tr>
<tr>
<td align="left" valign="top">Littoral South</td>
<td align="center" valign="middle">61</td>
<td align="center" valign="middle">68</td>
<td align="center" valign="middle">63</td>
<td align="center" valign="middle">66</td>
<td align="center" valign="middle">10.5</td>
<td align="center" valign="middle">&#x2212;7.5</td>
<td align="center" valign="middle">4.8</td>
<td align="center" valign="middle">&#x2212;3.2</td>
</tr>
<tr>
<td align="left" valign="top">Littoral West</td>
<td align="center" valign="middle">67</td>
<td align="center" valign="middle">66</td>
<td align="center" valign="middle">65</td>
<td align="center" valign="middle">70</td>
<td align="center" valign="middle">&#x2212;1.5</td>
<td align="center" valign="middle">&#x2212;0.4</td>
<td align="center" valign="middle">8.0</td>
<td align="center" valign="middle">7.0</td>
</tr>
<tr>
<td align="left" valign="top">Nearshore</td>
<td align="center" valign="middle">100</td>
<td align="center" valign="middle">108</td>
<td align="center" valign="middle">103</td>
<td align="center" valign="middle">104</td>
<td align="center" valign="middle">7.9</td>
<td align="center" valign="middle">&#x2212;5.0</td>
<td align="center" valign="middle">1.1</td>
<td align="center" valign="middle">&#x2212;4.1</td>
</tr>
<tr>
<td align="left" valign="top">Pelagic</td>
<td align="center" valign="middle">136</td>
<td align="center" valign="middle">139</td>
<td align="center" valign="middle">137</td>
<td align="center" valign="middle">138</td>
<td align="center" valign="middle">2.1</td>
<td align="center" valign="middle">&#x2212;1.3</td>
<td align="center" valign="middle">0.7</td>
<td align="center" valign="middle">&#x2212;0.6</td>
</tr>
<tr>
<td align="left" valign="top" rowspan="5">(3) DIN Conc. (mg&#x202F;L<sup>&#x2212;1</sup>)</td>
<td align="left" valign="top">Littoral North</td>
<td align="center" valign="middle">0.05</td>
<td align="center" valign="middle">0.05</td>
<td align="center" valign="middle">0.05</td>
<td align="center" valign="middle">0.05</td>
<td align="center" valign="middle">2.2</td>
<td align="center" valign="middle">4.1</td>
<td align="center" valign="middle">1.7</td>
<td align="center" valign="middle">5.6</td>
</tr>
<tr>
<td align="left" valign="top">Littoral South</td>
<td align="center" valign="middle">0.07</td>
<td align="center" valign="middle">0.07</td>
<td align="center" valign="middle">0.07</td>
<td align="center" valign="middle">0.07</td>
<td align="center" valign="middle">5.8</td>
<td align="center" valign="middle">&#x2212;4.8</td>
<td align="center" valign="middle">&#x2212;0.3</td>
<td align="center" valign="middle">&#x2212;5.4</td>
</tr>
<tr>
<td align="left" valign="top">Littoral West</td>
<td align="center" valign="middle">0.04</td>
<td align="center" valign="middle">0.05</td>
<td align="center" valign="middle">0.05</td>
<td align="center" valign="middle">0.05</td>
<td align="center" valign="middle">3.4</td>
<td align="center" valign="middle">1.2</td>
<td align="center" valign="middle">1.0</td>
<td align="center" valign="middle">2.2</td>
</tr>
<tr>
<td align="left" valign="top">Nearshore</td>
<td align="center" valign="middle">0.10</td>
<td align="center" valign="middle">0.11</td>
<td align="center" valign="middle">0.10</td>
<td align="center" valign="middle">0.10</td>
<td align="center" valign="middle">7.1</td>
<td align="center" valign="middle">&#x2212;8.0</td>
<td align="center" valign="middle">&#x2212;1.2</td>
<td align="center" valign="middle">&#x2212;9.9</td>
</tr>
<tr>
<td align="left" valign="top">Pelagic</td>
<td align="center" valign="middle">0.09</td>
<td align="center" valign="middle">0.10</td>
<td align="center" valign="middle">0.10</td>
<td align="center" valign="middle">0.10</td>
<td align="center" valign="middle">5.1</td>
<td align="center" valign="middle">&#x2212;3.1</td>
<td align="center" valign="middle">0.0</td>
<td align="center" valign="middle">&#x2212;3.2</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p><sup>1</sup>Calculated as [(Alt 2 - Alt 1)/Alt 1] &#x002A; 100.</p>
</table-wrap-foot>
</table-wrap>
</sec>
</sec>
</sec>
<sec sec-type="discussion" id="sec17">
<title>Discussion</title>
<p>Lake Okeechobee is a highly modified and heavily managed system with strong seasonal algal blooms that appear to be sensitive to water level management, as observed in this study and others (<xref ref-type="bibr" rid="ref37">Havens, 1997</xref>, <xref ref-type="bibr" rid="ref39">2003</xref>). Additionally, while nutrient loading and concentrations have changed over time (<xref ref-type="bibr" rid="ref52">Julian et al., 2023</xref>), internal nutrient loading has continued to subsidize the nutrient demand (Julian et al., <italic>In Prep</italic>), allowing for the proliferation of algal blooms. Watershed inputs, internal nutrient loading, and hydrodynamics have been identified as drivers of algal blooms for lakes that span the highly managed to semi-natural state (<xref ref-type="bibr" rid="ref40">Havens et al., 2001</xref>; <xref ref-type="bibr" rid="ref48">James et al., 2009</xref>; <xref ref-type="bibr" rid="ref46">Isles et al., 2015</xref>).</p>
<p>Chlorophyll-a and phycocyanin concentrations within Lake Okeechobee follow a strong seasonal pattern that peaks during summer, when the days are relatively long with respect to daylight hours and temperatures (air and water) are warmer which corresponds to the start of the south Florida wet season (<xref ref-type="fig" rid="fig3">Figures 3B</xref>,<xref ref-type="fig" rid="fig3">F</xref>). Additionally, phycocyanin concentrations exhibit a dual peak seasonality suggesting something other than warm temperatures and long days contributed to the proliferation of the dominant pigment in cyanobacteria. While stage elevation has a significant effect on algal pigments (i.e., chlorophyll-a and phycocyanin), biogeochemical and hydrodynamic factors and processes also corresponded to changes in chlorophyll-a concentration over time with a notable spatial effect (<xref ref-type="fig" rid="fig2">Figures 2</xref>, <xref ref-type="fig" rid="fig3">3D</xref>). However, due to spatial differences across the lake and how hydrodynamic and biogeochemical processes interacted across each ecological zone, stage alone was not sufficient enough to predict chlorophyll-a for all zones. Generally, littoral south, littoral west and nearshore zones are well characterized by changes in stage elevation (<xref ref-type="fig" rid="fig4">Figure 4</xref>). Although, including biogeochemical and hydrodynamic factors in a hierarchical statistical model framework provided a higher level of understanding concerning summer chlorophyll-a concentrations across ecological zones (<xref ref-type="fig" rid="fig7">Figure 7</xref>; <xref ref-type="supplementary-material" rid="SM1">Supplementary Table S4</xref>). The contrast between the hierarchical model and stage-based mixed models underscores the dynamic and complex drivers of phytoplankton in a highly variable system.</p>
<sec id="sec18">
<title>Seasonal patterns in algal biomass</title>
<p>Generally, in the northern hemisphere, algal biomass, expressed as chlorophyll-a concentrations, tends to peak between July and October (mid-summer to mid-fall) due to a complex interaction of between and within-season factors with significant intra- and inter-annual variability in peak season biomass (<xref ref-type="bibr" rid="ref88">Singh and Singh, 2015</xref>; <xref ref-type="bibr" rid="ref106">Wilkinson et al., 2022</xref>; <xref ref-type="bibr" rid="ref8">Beal et al., 2023</xref>). This period was characterized by warmer temperatures and increased sunlight (longer days) that contributed to algal productivity. However, algal biomass is also driven by local hydrology and regional weather modulated to some degree by global climate teleconnections (weather and climate patterns that connect regions globally) (<xref ref-type="bibr" rid="ref7">Beal et al., 2021</xref>). The hydrologic driver of algal productivity has been linked to the transport of external nutrients to lake ecosystems (<xref ref-type="bibr" rid="ref100">Vollenweider, 1976</xref>; <xref ref-type="bibr" rid="ref83">Schindler, 1977</xref>; <xref ref-type="bibr" rid="ref20">Elliott et al., 2006</xref>) with watershed land cover composition influencing nutrient concentration and loading intensity (<xref ref-type="bibr" rid="ref5">Bachmann et al., 2012</xref>; <xref ref-type="bibr" rid="ref109">Xiong and Hoyer, 2019</xref>). Moreover, internal loading (nutrients fluxing from sediment and to some degree plant biomass decomposition) has resulted in a significant influence on the overlying water column and has been known to fuel algal blooms (<xref ref-type="bibr" rid="ref1">Albright et al., 2022</xref>; <xref ref-type="bibr" rid="ref105">Waters et al., 2023</xref>).</p>
<p>In addition to specific drivers of algae dynamics within discrete ecological zones, algae pigments varied spatially and temporally (<xref ref-type="fig" rid="fig3">Figure 3</xref>). While direct comparison of algal pigments (chlorophyll-a vs. phycocyanin) dynamics was problematic with the current analyses due to spatial and temporal limitations between datasets, it was apparent that stage elevation, season, and location affected pigment concentrations. Some drivers were different (e.g., seasonal and spatial; <xref ref-type="fig" rid="fig3">Figures 3B</xref>,<xref ref-type="fig" rid="fig3">F</xref>,<xref ref-type="fig" rid="fig3">D</xref>,<xref ref-type="fig" rid="fig3">H</xref>, respectively). Meanwhile, there appeared to be consistency with the influence of stage to some degree (<xref ref-type="fig" rid="fig3">Figures 3A</xref>,<xref ref-type="fig" rid="fig3">E</xref>; <xref ref-type="supplementary-material" rid="SM1">Supplementary Figure S2</xref>). The spatial differences observed in chlorophyll-a concentrations (<xref ref-type="fig" rid="fig3">Figure 3D</xref>) as demonstrated by the fine scale spatial effect, were consistent with zonal descriptions of algal dynamics in prior studies (<xref ref-type="bibr" rid="ref41">Havens et al., 1994</xref>; <xref ref-type="bibr" rid="ref39">Havens, 2003</xref>).</p>
<p>Lake Okeechobee experienced distinct wet and dry seasons where the wet season (May &#x2013; October) corresponded with peak algal bloom periods. Moreover, the majority of surface water inputs occurred during the wet season. Wet season inputs combined with water management rules affected water storage volumes, water levels, and water retention times of the lake (<xref ref-type="bibr" rid="ref93">Tarabih and Arias, 2021</xref>; <xref ref-type="bibr" rid="ref54">Julian and Welch, 2022</xref>). Inflow discharges introduced the bulk of the surface water nutrient loads. However, internal lake loads were many times greater than surface water inputs (<xref ref-type="bibr" rid="ref43">Havens and James, 2005</xref>) with some regions within the lake (i.e., pelagic) having a much higher sediment nutrient concentration, hence a nutrient reservoir (<xref ref-type="bibr" rid="ref52">Julian et al., 2023</xref>). Internal loading effects on algal communities are not isolated to just Lake Okeechobee. In Lake Mendota (Wisconsin, United States), studies have demonstrated internal loading met phytoplankton demand for growth (<xref ref-type="bibr" rid="ref56">Kamarainen et al., 2009b</xref>; <xref ref-type="bibr" rid="ref55">Kamarainen et al., 2009a</xref>; <xref ref-type="bibr" rid="ref12">Carpenter and Brock, 2024</xref>). This internal loading supplementation of phytoplankton simulation has been observed in other lake systems such as Lake Taihu (<xref ref-type="bibr" rid="ref19">Ding et al., 2018</xref>; <xref ref-type="bibr" rid="ref111">Yin et al., 2022</xref>), Lake Chaohu (<xref ref-type="bibr" rid="ref110">Yang et al., 2020</xref>), Lake Rauwbraken (<xref ref-type="bibr" rid="ref98">van Oosterhout et al., 2022</xref>), Lake Erie (<xref ref-type="bibr" rid="ref104">Wang et al., 2021</xref>) to name a few.</p>
<p>Nearly all freshwater cyanobacteria contain phycocyanin, an accessory pigment that complements chlorophyll-a to produce energy, especially in low light conditions (<xref ref-type="bibr" rid="ref2">Alegria Zufia et al., 2021</xref>; <xref ref-type="bibr" rid="ref57">Kheimi et al., 2024</xref>). As observed in this study, chlorophyll-a and phycocyanin concentrations had distinct seasonality (<xref ref-type="fig" rid="fig3">Figure 3</xref>). This seasonal change corresponds with the typical algal biomass trends observed across the northern hemisphere in aquatic systems. However, phycocyanin concentrations within Lake Okeechobee exhibited a bimodal seasonality with the first peak occurring in the typical summer months followed by another peak later in the year (<xref ref-type="fig" rid="fig3">Figure 3</xref>). This bimodality was driven by either changes in light attenuation/water clarity, physiological changes in cyanobacteria due to changing seasonal conditions, shifts in species composition, or a combination of these factors (<xref ref-type="bibr" rid="ref112">Zhang et al., 2016</xref>; <xref ref-type="bibr" rid="ref12">Carpenter and Brock, 2024</xref>).</p>
<p>Seasonally, cyanobacteria blooms occurred in the summer months, predominately as <italic>Microcystis</italic> sp. (<xref ref-type="supplementary-material" rid="SM1">Supplementary Figure S3</xref>) between April to July. Meanwhile, later in the year between September and March there was a much more diverse cyanobacteria community composed of <italic>Microcystis</italic> sp., <italic>Cylindrospermopsis</italic> sp., <italic>Dolichopermum</italic> sp., and other species (<xref ref-type="supplementary-material" rid="SM1">Supplementary Figure S3</xref>). While phycocyanin pigments/sensors themselves cannot differentiate between species, they are more sensitive to detecting cyanobacteria specific biomass changes than just chlorophyll-a (<xref ref-type="bibr" rid="ref12">Carpenter and Brock, 2024</xref>). However, in Lake Chaohu (Anhui Province, China), <xref ref-type="bibr" rid="ref112">Zhang et al. (2016)</xref> observed seasonal changes in chlorophyll-a, phycocyanin concentrations, and species biomass. Additionally, <xref ref-type="bibr" rid="ref112">Zhang et al. (2016)</xref> observed a bimodal seasonality in cyanobacteria biomass, with <italic>Anabaena</italic> sp. (now <italic>Dolichospermum</italic> sp.) as the dominant species contributing to this pattern, while <italic>Microcystis</italic> sp. was less dominant when bloom conditions peaked in summer and gradually declined throughout the rest of the year. While individual species demonstrated a single unimodal seasonality, together they exhibited a cyanobacteria biomass bimodal seasonality.</p>
</sec>
<sec id="sec19">
<title>Algal bloom prediction</title>
<p>Generally, TP-chlorophyll-a statistical models have been used to predict chlorophyll-a concentrations, algal bloom conditions, and trophic conditions (<xref ref-type="bibr" rid="ref99">Vollenweider, 1975</xref>, <xref ref-type="bibr" rid="ref100">1976</xref>; <xref ref-type="bibr" rid="ref65">Nicholls and Dillon, 1978</xref>; <xref ref-type="bibr" rid="ref31">H&#x00E5;kanson et al., 2005</xref>; <xref ref-type="bibr" rid="ref79">Quinlan et al., 2021</xref>; <xref ref-type="bibr" rid="ref68">Olson and Jones, 2022</xref>). However, these relationships typically had poor predictive capabilities due to stochastic dynamics, error, variability and uncertainty in predictors, simplified model structure and failure to meet model assumptions. Moreover, most of these models were developed using a single year or average values across several years thereby missing the year-to-year variability. Year-to-year variation in the TP-chlorophyll-a relationship has been significant, driven by a combination of internal and external processes that either maintain some disequilibrium or conflate inter-annual variation in relationships (<xref ref-type="bibr" rid="ref18">Davidson et al., 2023</xref>). However, process-driven models, like the one presented by <xref ref-type="bibr" rid="ref68">Olson and Jones (2022)</xref>, can identify biological limitations and other factors driving variability in TP&#x2013;chlorophyll-a relationships across space and time.</p>
<p>Between and within lakes the TP-chlorophyll-a relationship can be highly variable. Several synthesis studies have suggested the relationship was non-linear across the TP concentration continuum and affected by other factors. These factors included lake morphology, lake depth, thermal regime, N vs. P growth limitations, inputs, outflow, sedimentation, and depth-dependent processes (<xref ref-type="bibr" rid="ref29">Guildford and Hecky, 2000</xref>; <xref ref-type="bibr" rid="ref74">Phillips et al., 2008</xref>; <xref ref-type="bibr" rid="ref89">S&#x00F8;ndergaard et al., 2017</xref>; <xref ref-type="bibr" rid="ref77">Qin et al., 2020</xref>; <xref ref-type="bibr" rid="ref79">Quinlan et al., 2021</xref>; <xref ref-type="bibr" rid="ref18">Davidson et al., 2023</xref>). Depth-dependent and hydrodynamic processes either directly affect the lake nutrient mass balance (e.g., changes in inflow P or N loads) or in-directly affect lake mixing, biotic interactions (e.g., zooplankton grazing) or biogeochemical cycling (e.g., denitrification). Some TP-chlorophyll-a modeling approaches attempted to account for the potential influences of these other factors by including lake depth, WRT, and water balance to name a few (<xref ref-type="bibr" rid="ref99">Vollenweider, 1975</xref>; <xref ref-type="bibr" rid="ref68">Olson and Jones, 2022</xref>).</p>
<p>Lake water depth, water level, or stage elevation, sometimes all used interchangeably, have been applied as metrics by water managers for reservoir and natural system management to estimate the storage volume in a given lake and to inform management decisions. Moreover, lake water level is a relatively easy and effective metric to measure. Storage volume, outflow discharge rate, and WRT are key factors in nutrient cycling, collectively influencing &#x2018;contact time&#x2019;&#x2014;the duration for which nutrients remain available for uptake (dissolved) or settling (particulate).</p>
<p>Early Lake Okeechobee studies generally focused on algal biomass, TP concentrations, and water level (<xref ref-type="bibr" rid="ref102">Walker and Havens, 1995</xref>; <xref ref-type="bibr" rid="ref45">Havens and Walker, 2002</xref>). Prior studies documented a direct effect of water levels on algal biomass and recognized it as a local phenomenon generally restricted to the near-littoral region. However, on a lake-wide basis the correlation of stage and bloom frequency was observed to be highly variable (<xref ref-type="bibr" rid="ref41">Havens et al., 1994</xref>; <xref ref-type="bibr" rid="ref49">James et al., 1994</xref>). Lake Okeechobee is a spatially heterogeneous ecosystem with variability in physical attributes, water chemistry (<xref ref-type="bibr" rid="ref75">Phlips et al., 1993</xref>), sediment nutrient distribution (<xref ref-type="bibr" rid="ref52">Julian et al., 2023</xref>), and hydrodynamic influences (<xref ref-type="bibr" rid="ref13">Chen and Sheng, 2003</xref>, <xref ref-type="bibr" rid="ref14">2005</xref>). These factors combined with seasonal variability in stage drives algal biomass trends and bloom frequency. This variability was also apparent in the stage-based chlorophyll-a and bloom frequency models developed by <xref ref-type="bibr" rid="ref101">Walker (2020)</xref> and in this study (<xref ref-type="fig" rid="fig4">Figures 4</xref>, <xref ref-type="fig" rid="fig6">6</xref>). Therefore, including other factors that account for the unique spatial characteristics of the system should provide a more robust estimation of algal biomass.</p>
<p>While phosphorus (P) is predominantly the limiting nutrient in most lake ecosystems, in some cases, nitrogen (N) can be a limiting nutrient for algal growth (<xref ref-type="bibr" rid="ref29">Guildford and Hecky, 2000</xref>; <xref ref-type="bibr" rid="ref50">Jones et al., 2008</xref>). Therefore, incorporating N into the TP-chlorophyll-a model can improve model fit and better explain changes in primary productivity (<xref ref-type="bibr" rid="ref89">S&#x00F8;ndergaard et al., 2017</xref>). While Lake Okeechobee has received high TP loads from its watershed, to the point of reducing its assimilative capacity and contributing to high internal loading (<xref ref-type="bibr" rid="ref43">Havens and James, 2005</xref>; <xref ref-type="bibr" rid="ref52">Julian et al., 2023</xref>) resulting in abundant resources for algal growth, N has been an important driver of algal dynamics as well.</p>
<p>For example, <xref ref-type="bibr" rid="ref36">Havens (1995)</xref> documented a shift from P limitation to a secondary N limitation in the mid to late 1980s, however some variability in this limitation status has been identified across ecological regions of the lake (<xref ref-type="supplementary-material" rid="SM1">Supplementary Figure S4</xref>; Julian <italic>Unpublished Data</italic>). Moreover, it has been documented through <italic>in-situ</italic> observations and incubation experiments that algal dynamics in Lake Okeechobee have been driven in part by changes in DIN concentrations (<xref ref-type="bibr" rid="ref76">Phlips and Ihnat, 1995</xref>; <xref ref-type="bibr" rid="ref28">Gu et al., 1997</xref>; <xref ref-type="bibr" rid="ref47">James et al., 2011</xref>). Based on this dynamic and the interplay between P, N, hydrodynamic characteristics, and the overall heterogeneity of the lake among regions, the hierarchical predictive models (i.e., LOK HABAM) presented in this study were developed to understand changes in chlorophyll-a with an aim to evaluate changes in system management. The inclusion of DIN and the interactive effect with TP allowed for capturing greater variability in the pelagic zone. In contrast, the stage-only model captured very little variability in the various algal bloom metrics with relatively flat slopes (<xref ref-type="fig" rid="fig4">Figure 4</xref>; <xref ref-type="supplementary-material" rid="SM1">Supplementary Table S3</xref>), resulting in reduced predictive capabilities in restoration scenarios (<xref ref-type="fig" rid="fig6">Figure 6</xref>). This result demonstrated that important ecosystem drivers other than stage influence this part of the system, consistent with prior studies discussed above.</p>
<p>Despite some variation in potential nutrient limitations (<xref ref-type="supplementary-material" rid="SM1">Supplementary Figure S4</xref>), prior studies have conducted nutrient limitation bioassays and determined that Lake Okeechobee is predominantly N-limiting, especially in summer when nitrate concentrations are typically the lowest (<xref ref-type="supplementary-material" rid="SM1">Supplementary Figure S5</xref>; <xref ref-type="bibr" rid="ref76">Phlips and Ihnat, 1995</xref>; <xref ref-type="bibr" rid="ref73">Philips et al., 1997</xref>; <xref ref-type="bibr" rid="ref47">James et al., 2011</xref>). Additionally, <xref ref-type="bibr" rid="ref73">Philips et al. (1997)</xref> noted regional occurrences of N and P co-limitation in the mid to late summer. These patterns suggest seasonal shifts in nutrient concentrations and biological cycling that align with variations in potential summer nutrient limitations observed over the period of record (<xref ref-type="supplementary-material" rid="SM1">Supplementary Figure S4</xref>). Meanwhile, ammonium concentrations remained relatively low and did not vary much between seasons (<xref ref-type="supplementary-material" rid="SM1">Supplementary Figure S5</xref>). Despite these low concentrations, <xref ref-type="bibr" rid="ref32">Hampel et al. (2019)</xref> documented significant ammonium regeneration within Lake Okeechobee from internal sources suggesting rapid ammonium turnover rates have the ability to fuel and sustain algal blooms. Given this dynamic, including DIN concentrations as a predictor to the hierarchical predictive models not only resulted in an improved fit to the model it also captures the internal biogeochemical dynamics of the system.</p>
</sec>
<sec id="sec20">
<title>Water management and planning</title>
<p>Water management, regional flood control, and restoration infrastructure (e.g., reservoirs, flow-equalization basins, stormwater treatment areas, etc.) have exhibited significant influences on local and regional hydrology as well as the ecology of lakes and downstream waterbodies (<xref ref-type="bibr" rid="ref38">Havens, 2002</xref>; <xref ref-type="bibr" rid="ref80">Richter et al., 2003</xref>; <xref ref-type="bibr" rid="ref54">Julian and Welch, 2022</xref>). In the context of this study, both water management and restoration infrastructure were evaluated by comparing in-lake water, biogeochemical, and algal dynamics between LORS08 and LOSOM followed by the effect of utilizing storage north (LOCAR) and south (EAA Reservoir). Changes in lake hydrodynamics (i.e., inflow, outflow, storage volume, HRT, etc.) have shown a substantial effect on lake water quality and algal dynamics, effectively regulating the bioreactor nature of the lake as suggested by LOK HABAM and other modeling efforts in other lake ecosystems (<xref ref-type="bibr" rid="ref103">Wang et al., 2013</xref>; <xref ref-type="bibr" rid="ref68">Olson and Jones, 2022</xref>; <xref ref-type="bibr" rid="ref33">Hanson et al., 2023</xref>).</p>
<p>As a potential application of LOK HABAM, water quality improvement scenarios were evaluated to understand the response of summer mean chlorophyll-a concentrations across the lake under LOSOM with the EAA reservoir in place. These scenarios are not necessarily the &#x201C;how&#x201D; but the final results of nutrient reductions observed within the lake. While more robust water quality modeling is needed, this modeling exercise demonstrates that not all parts of the lake respond similarly. Moreover, the predicted chlorophyll-a concentrations responded disproportionately with greater changes relative to in-lake TP concentration reductions (ranging from 10 to 30%) relative to concurrent changes in DIN concentrations (<xref ref-type="supplementary-material" rid="SM1">Supplementary Figure S6</xref>).</p>
<p>Under LOSOM (PA25) algal bloom conditions and/or bloom risk could be greater than all other alternatives. This risk is driven by significantly higher stage elevations relative to the baseline conditions (<xref ref-type="bibr" rid="ref54">Julian and Welch, 2022</xref>) and alternatives associated with LOCAR (<xref ref-type="fig" rid="fig5">Figures 5</xref>&#x2013;<xref ref-type="fig" rid="fig7">7</xref>) in its current eutrophic state with consistent exceedance of the regulatory inflow load limit. Although with the addition of southern storage features (FWOLL) and the addition of northern storage (LCR1) with LOSOM in place, the benefits of LOSOM (i.e., reduce discharges to northern Estuaries, increased discharges to the Everglades) (<xref ref-type="bibr" rid="ref51">Julian and Reidenbach, 2024</xref>) were achieved and algal bloom risk was reduced with added storage. This added storage aids in modulating water levels in the lake by buffering high flow events from the north and reducing periods of high-water levels thereby improving the lake&#x2019;s ecology and building resilience in the system (<xref ref-type="fig" rid="fig5">Figure 5</xref>). The combined effect of water management utilizing the necessary storage infrastructure significantly improved the hydrodynamic condition of the lake, which can alleviate some ecological stress associated with high water levels (<xref ref-type="bibr" rid="ref54">Julian and Welch, 2022</xref>). However, other issues remained that also contribute to the lake&#x2019;s chronic algal bloom and eutrophic condition, including high nutrient inflow loads and the legacy effect of high nutrient storage in lake sediment. While an attempt was made to address inflow nutrient loads with water quality improvement projects and deployment of best management practices, efforts may need to be more aggressive to achieve the expected goal outlined in the Lake Okeechobee Basin Action Management Plan to ensure that the Total Maximum Daily Load can be achieved (<xref ref-type="bibr" rid="ref27">Florida Department of Environmental Protection, 2020</xref>; <xref ref-type="bibr" rid="ref52">Julian et al., 2023</xref>).</p>
</sec>
</sec>
</body>
<back>
<sec sec-type="data-availability" id="sec21">
<title>Data availability statement</title>
<p>Publicly available datasets were analyzed in this study. This data can be found here: Data used in this study is publicly available from the South Florida Water Management District, DBHYDRO (<ext-link xlink:href="https://www.sfwmd.gov/dbhydro" ext-link-type="uri">https://www.sfwmd.gov/dbhydro</ext-link>), and Statewide Model Management System (<ext-link xlink:href="https://apps.sfwmd.gov/smmsviewer/" ext-link-type="uri">https://apps.sfwmd.gov/smmsviewer/</ext-link>). R scripts used to analyze these data are also available on Github (<ext-link xlink:href="https://github.com/SwampThingPaul/LOK_AlgaeEval_manu" ext-link-type="uri">https://github.com/SwampThingPaul/LOK_AlgaeEval_manu</ext-link>).</p>
</sec>
<sec sec-type="author-contributions" id="sec22">
<title>Author contributions</title>
<p>PJ: Validation, Methodology, Visualization, Data curation, Formal analysis, Software, Conceptualization, Writing &#x2013; original draft, Writing &#x2013; review &#x0026; editing. WW: Writing &#x2013; review &#x0026; editing, Conceptualization. DS: Writing &#x2013; review &#x0026; editing, Writing &#x2013; original draft, Conceptualization. SD: Writing &#x2013; review &#x0026; editing, Conceptualization, Writing &#x2013; original draft.</p>
</sec>
<sec sec-type="funding-information" id="sec23">
<title>Funding</title>
<p>The author(s) declare that no financial support was received for the research and/or publication of this article.</p>
</sec>
<ack>
<p>The authors would like to thank the US Army Corps of Engineers and the South Florida Water Management District for making the modeling output available. The authors would also like to thank the peer reviewer(s) and editor(s) for their efforts and constructive review of this manuscript.</p>
</ack>
<sec sec-type="COI-statement" id="sec24">
<title>Conflict of interest</title>
<p>PJ and SD were employed by The Everglades Foundation.</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 sec-type="ai-statement" id="sec25">
<title>Generative AI statement</title>
<p>The authors declare that no Gen AI was used in the creation of this manuscript.</p>
</sec>
<sec sec-type="disclaimer" id="sec26">
<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 sec-type="supplementary-material" id="sec27">
<title>Supplementary material</title>
<p>The Supplementary material for this article can be found online at: <ext-link xlink:href="https://www.frontiersin.org/articles/10.3389/frwa.2025.1619838/full#supplementary-material" ext-link-type="uri">https://www.frontiersin.org/articles/10.3389/frwa.2025.1619838/full#supplementary-material</ext-link></p>
<supplementary-material xlink:href="Supplementary_file_1.docx" id="SM1" mimetype="application/vnd.openxmlformats-officedocument.wordprocessingml.document" xmlns:xlink="http://www.w3.org/1999/xlink"/>
</sec>
<fn-group>
<fn id="fn0001"><p><sup>1</sup><ext-link xlink:href="https://swampthingpaul.shinyapps.io/lok_algaeevaltool/" ext-link-type="uri">https://swampthingpaul.shinyapps.io/lok_algaeevaltool/</ext-link></p></fn>
<fn id="fn0002"><p><sup>2</sup><ext-link xlink:href="https://github.com/SwampThingPaul/LOK_AlgaeEval" ext-link-type="uri">https://github.com/SwampThingPaul/LOK_AlgaeEval</ext-link></p></fn>
</fn-group>
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