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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Ecol. Evol.</journal-id>
<journal-title>Frontiers in Ecology and Evolution</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Ecol. Evol.</abbrev-journal-title>
<issn pub-type="epub">2296-701X</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.3389/fevo.2025.1616227</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Ecology and Evolution</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Assessing the effects of engineered oyster reefs on shoreline change using drones</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Geesin</surname>
<given-names>Megan E.</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="author-notes" rid="fn001">
<sup>*</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1659832/overview"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-original-draft/"/>
<role content-type="https://credit.niso.org/contributor-roles/formal-analysis/"/>
<role content-type="https://credit.niso.org/contributor-roles/visualization/"/>
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<role content-type="https://credit.niso.org/contributor-roles/conceptualization/"/>
<role content-type="https://credit.niso.org/contributor-roles/investigation/"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Tso</surname>
<given-names>Georgette L.</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1536360/overview"/>
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<role content-type="https://credit.niso.org/contributor-roles/formal-analysis/"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Sirianni</surname>
<given-names>Hannah</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/3082890/overview"/>
<role content-type="https://credit.niso.org/contributor-roles/methodology/"/>
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</contrib>
<contrib contrib-type="author">
<name>
<surname>Narayan</surname>
<given-names>Siddharth</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1318600/overview"/>
<role content-type="https://credit.niso.org/contributor-roles/funding-acquisition/"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-review-editing/"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Baillie</surname>
<given-names>Chris J.</given-names>
</name>
<xref ref-type="aff" rid="aff4">
<sup>4</sup>
</xref>
<role content-type="https://credit.niso.org/contributor-roles/funding-acquisition/"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-review-editing/"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Malali</surname>
<given-names>Praveen D.</given-names>
</name>
<xref ref-type="aff" rid="aff5">
<sup>5</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/3113105/overview"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-review-editing/"/>
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</contrib>
<contrib contrib-type="author">
<name>
<surname>Puckett</surname>
<given-names>Brandon J.</given-names>
</name>
<xref ref-type="aff" rid="aff6">
<sup>6</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1907811/overview"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-review-editing/"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Ridge</surname>
<given-names>Justin T.</given-names>
</name>
<xref ref-type="aff" rid="aff7">
<sup>7</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/3161930/overview"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-review-editing/"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Gittman</surname>
<given-names>Rachel K.</given-names>
</name>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
<xref ref-type="aff" rid="aff8">
<sup>8</sup>
</xref>
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</contrib-group>
<aff id="aff1">
<sup>1</sup>
<institution>Department of Coastal Studies, Integrated Coastal Programs, East Carolina University</institution>, <addr-line>Greenville, NC</addr-line>,&#xa0;<country>United States</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>Department of Earth, Environment, and Planning, East Carolina University</institution>, <addr-line>Greenville, NC</addr-line>,&#xa0;<country>United States</country>
</aff>
<aff id="aff3">
<sup>3</sup>
<institution>Coastal Studies Institute, East Carolina University</institution>, <addr-line>Wanchese, NC</addr-line>,&#xa0;<country>United States</country>
</aff>
<aff id="aff4">
<sup>4</sup>
<institution>Eastern North Carolina Sentinel Landscape, Legacyworks Group</institution>, <addr-line>Santa Barbara, CA</addr-line>,&#xa0;<country>United States</country>
</aff>
<aff id="aff5">
<sup>5</sup>
<institution>Department of Science and Mathematics, Texas A&amp;M University-Central Texas</institution>, <addr-line>Killeen, TX</addr-line>,&#xa0;<country>United States</country>
</aff>
<aff id="aff6">
<sup>6</sup>
<institution>National Centers for Coastal Ocean Science, National Ocean Service, National Oceanic and Atmospheric Administration</institution>, <addr-line>Beaufort, NC</addr-line>,&#xa0;<country>United States</country>
</aff>
<aff id="aff7">
<sup>7</sup>
<institution>Department of Environmental Quality, North Carolina Coastal Reserve and National Estuarine Research Reserve</institution>, <addr-line>Beaufort, NC</addr-line>,&#xa0;<country>United States</country>
</aff>
<aff id="aff8">
<sup>8</sup>
<institution>Department of Biology, East Carolina University</institution>, <addr-line>Greenville, NC</addr-line>,&#xa0;<country>United States</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>Edited by: Stephanie Dohner, Naval Research Laboratory, United States</p>
</fn>
<fn fn-type="edited-by">
<p>Reviewed by: John Carroll, Georgia Southern University, United States</p>
<p>Arthur C. Trembanis, University of Delaware, United States</p>
</fn>
<fn fn-type="corresp" id="fn001">
<p>*Correspondence: Megan E. Geesin, <email xlink:href="mailto:geesinm21@students.ecu.edu">geesinm21@students.ecu.edu</email>
</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>25</day>
<month>08</month>
<year>2025</year>
</pub-date>
<pub-date pub-type="collection">
<year>2025</year>
</pub-date>
<volume>13</volume>
<elocation-id>1616227</elocation-id>
<history>
<date date-type="received">
<day>22</day>
<month>04</month>
<year>2025</year>
</date>
<date date-type="accepted">
<day>27</day>
<month>07</month>
<year>2025</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2025 Geesin, Tso, Sirianni, Narayan, Baillie, Malali, Puckett, Ridge and Gittman.</copyright-statement>
<copyright-year>2025</copyright-year>
<copyright-holder>Geesin, Tso, Sirianni, Narayan, Baillie, Malali, Puckett, Ridge and Gittman</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>
<sec>
<title>Introduction</title>
<p>Coastal infrastructure and property, as well as intertidal wetlands, are increasingly being threatened by shoreline erosion; a consequence of human activities and climate change. Nature-based solutions, such as intertidal engineered oyster reefs, can reduce erosion and promote sediment accretion, thereby promoting the restoration and persistence of salt marshes and preventing the loss of coastal lands. Engineered oyster reef substrate and design options have rapidly expanded in the last decade, yet our understanding of how these approaches influence ecosystems and intertidal morphology is limited. Drones (or small uncrewed aerial systems [sUAS]) coupled with structure-from-motion (SfM) photogrammetry have recently been suggested as a low-cost method that offers optimal spatial coverage, fine-scale resolution, and high vertical accuracy for monitoring changes around living shorelines.</p>
</sec>
<sec>
<title>Methods</title>
<p>We evaluated how using different vertical and horizontal uncertainty thresholds for detection of drone-based shoreline change can influence interpretation of performance of engineered oyster reefs on coastal morphology and vegetation. We monitored three sites with engineered oyster reefs installed in 2020 and one reference site located on Carrot Island along Taylor Creek in Beaufort, NC, USA. </p>
</sec>
<sec>
<title>Results</title>
<p>Comparisons of the Digital Elevation Models (DEMs) and orthomosaics derived from the drone imagery revealed all sites saw marsh edge retreat from 2022 to 2023 (2-3 years post-restoration), and all sites except one low-relief oyster reef site saw elevation loss. Elevation loss was highest at the control site, but marsh edge retreat was highest at one of the engineered oyster reefs.</p>
</sec>
<sec>
<title>Discussion</title>
<p>While horizontal thresholds did not yield statistically different results, vertical thresholds did. Our results support using a 95% confidence interval for conservative volumetric estimates and recommend that future studies consider aligning uncertainty thresholds with monitoring goals and timelines.</p>
</sec>
</abstract>
<kwd-group>
<kwd>small uncrewed aerial system (sUAS)</kwd>
<kwd>structure from motion (SfM) photogrammetry</kwd>
<kwd>digital elevation model of difference (DOD)</kwd>
<kwd>shoreline erosion</kwd>
<kwd>nature-based solutions</kwd>
<kwd>bio-geomorphology</kwd>
</kwd-group>    <contract-num rid="cn001">W912HZ2120010, NA23OAR4170122-T1-01</contract-num>    <contract-num rid="cn002">NA23OAR4170122-T1-01</contract-num>    <contract-num rid="cn003">2011-1590-08 20-CCRG-02</contract-num>    <contract-num rid="cn004">20170 12593 221010 , 20170 12593 221010 KOAST</contract-num>    <contract-num rid="cn005">F19AP00230</contract-num>    <contract-num rid="cn006">DGE- 2125684</contract-num>    <contract-sponsor id="cn001">U.S. Coastal Research Program<named-content content-type="fundref-id">10.13039/100020290</named-content>
</contract-sponsor>    <contract-sponsor id="cn002">NOAA Sea Grant<named-content content-type="fundref-id">10.13039/100020658</named-content>
</contract-sponsor>    <contract-sponsor id="cn003">North Carolina Sea Grant, North Carolina State University<named-content content-type="fundref-id">10.13039/100005623</named-content>
</contract-sponsor>    <contract-sponsor id="cn004">North Carolina Policy Collaboratory<named-content content-type="fundref-id">10.13039/100023993</named-content>
</contract-sponsor>    <contract-sponsor id="cn005">U.S. Fish and Wildlife Service<named-content content-type="fundref-id">10.13039/100000202</named-content>
</contract-sponsor>    <contract-sponsor id="cn006">National Science Foundation<named-content content-type="fundref-id">10.13039/100000001</named-content>
</contract-sponsor>
<counts>
<fig-count count="3"/>
<table-count count="5"/>
<equation-count count="5"/>
<ref-count count="78"/>
<page-count count="13"/>
<word-count count="7913"/>
</counts>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-in-acceptance</meta-name>
<meta-value>Conservation and Restoration Ecology</meta-value>
</custom-meta>
</custom-meta-wrap>
</article-meta>
</front>
<body>
<sec id="s1" sec-type="intro">
<label>1</label>
<title>Introduction</title>
<p>Human population growth has caused increased coastal development which exacerbates coastal ecosystem loss and associated ecosystem services, such as wave energy dampening and sediment stabilization, thereby causing widespread coastal erosion that in turn threatens coastal communities and infrastructure (<xref ref-type="bibr" rid="B44">Mentaschi et&#xa0;al., 2018</xref>; <xref ref-type="bibr" rid="B6">Barbier et&#xa0;al., 2011</xref>; <xref ref-type="bibr" rid="B41">Lee et&#xa0;al., 2006</xref>; <xref ref-type="bibr" rid="B13">Coleman and Williams, 2002</xref>; <xref ref-type="bibr" rid="B32">Hoegh-Guldberg and Bruno, 2010</xref>). To address these risks, nature-based solutions (NbS), such as living shorelines, are becoming increasingly popular (<xref ref-type="bibr" rid="B8">Bilkovic et&#xa0;al., 2016</xref>; <xref ref-type="bibr" rid="B68">Smith et&#xa0;al., 2020</xref>). Living shorelines encompass a range of coastal protection methods from planted marsh species to engineered structures created from natural materials or a combination of these strategies (<xref ref-type="bibr" rid="B48">NOAA, 2015</xref>). These designs not only dissipate wave energy and reduce erosion but also provide habitat for aquatic species (<xref ref-type="bibr" rid="B43">Manis et&#xa0;al., 2015</xref>; <xref ref-type="bibr" rid="B55">Polk and Eulie, 2018</xref>; <xref ref-type="bibr" rid="B56">Polk et&#xa0;al., 2021</xref>; <xref ref-type="bibr" rid="B28">Gittman et&#xa0;al., 2016</xref>; <xref ref-type="bibr" rid="B66">Smith et&#xa0;al., 2021</xref>, <xref ref-type="bibr" rid="B65">2024</xref>). The growing popularity of living shorelines has resulted in the development of new materials and designs. However, research demonstrating the ability of these new structures to reduce erosion and stabilize sediments has been limited (<xref ref-type="bibr" rid="B74">Walters et&#xa0;al., 2022</xref>; <xref ref-type="bibr" rid="B56">Polk et&#xa0;al., 2021</xref>; <xref ref-type="bibr" rid="B73">Walles et&#xa0;al., 2016</xref>; <xref ref-type="bibr" rid="B7">Barry et&#xa0;al., 2024</xref>). Most studies evaluating the ability of living shorelines with engineered structures to provide coastal protection have been conducted on granite rock or loose or bagged oyster cultch (e.g., <xref ref-type="bibr" rid="B12">Chowdhury et&#xa0;al., 2019</xref>; <xref ref-type="bibr" rid="B61">Scyphers et&#xa0;al., 2011</xref>; <xref ref-type="bibr" rid="B55">Polk and Eulie, 2018</xref>, <xref ref-type="bibr" rid="B56">2021</xref>, <xref ref-type="bibr" rid="B37">Kingsley-Smith et&#xa0;al., 2023</xref>). We now have many engineered options for improved erosion control, but the extent to which they protect land and salt marshes needs to be evaluated, especially over longer time scales (<xref ref-type="bibr" rid="B60">Scyphers et&#xa0;al., 2015</xref>; <xref ref-type="bibr" rid="B74">Walters et&#xa0;al., 2022</xref>).</p>
<p>To evaluate the coastal protection properties of living shorelines, the surrounding topography and vegetation need to be monitored over time (<xref ref-type="bibr" rid="B5">Baker and Gittman, 2024</xref>). Traditional methods of monitoring sediment deposition include placing feldspar horizons and sediment tiles in vegetated areas or mudflats (<xref ref-type="bibr" rid="B11">Callaway et&#xa0;al., 2013</xref>; <xref ref-type="bibr" rid="B54">Pasternack and Brush, 1998</xref>). However, feldspar horizons can wash away in areas with high wave energy, and both sediment tiles and feldspar horizons do not allow for deposition monitoring over large areas. Surface elevation tables (SETs) can be used to monitor both deposition and erosion rates (<xref ref-type="bibr" rid="B11">Callaway et&#xa0;al., 2013</xref>), but they can be impractical or impossible to install near living shorelines located on private property. Elevation and horizontal vegetation migration can be quantified by taking precise horizontal and vertical measurements using a Real-time Kinematic Global Navigation Satellite System (RTK-GNSS) (<xref ref-type="bibr" rid="B27">Geis and Bendell, 2010</xref>; <xref ref-type="bibr" rid="B21">Eulie et&#xa0;al., 2013</xref>, <xref ref-type="bibr" rid="B22">2017</xref>; <xref ref-type="bibr" rid="B55">Polk and Eulie, 2018</xref>; <xref ref-type="bibr" rid="B56">Polk et&#xa0;al., 2021</xref>). Yet, using RTK-GNSS alone does not allow continuous mapping of entire sites (<xref ref-type="bibr" rid="B29">Goldman Martone and Wasson, 2008</xref>; <xref ref-type="bibr" rid="B45">Minchinton et&#xa0;al., 2019</xref>). Remote sensing data collected onboard satellites and occupied aircraft allow for monitoring coastal habitats with less disturbance, but the associated error is often high and does not allow detection of fine-scale changes in the environment (<xref ref-type="bibr" rid="B62">Shuman and Ambrose, 2003</xref>; <xref ref-type="bibr" rid="B2">Attard et&#xa0;al., 2024</xref>). In contrast, drones (also known as small uncrewed aircraft systems [sUAS]), are relatively low cost, and they allow for relatively low-disturbance and high-resolution monitoring (<xref ref-type="bibr" rid="B46">Morgan et&#xa0;al., 2022</xref>; <xref ref-type="bibr" rid="B38">Klemas, 2015</xref>; <xref ref-type="bibr" rid="B1">Adade et&#xa0;al., 2021</xref>). Drones and structure-from-motion (SfM) techniques allow for user-defined deployment (e.g., targeting low tides), can produce products with centimetric and millimetric resolutions, and are well suited for small-scale projects like monitoring changes occurring around living shorelines (<xref ref-type="bibr" rid="B57">Ridge and Johnston, 2020</xref>; <xref ref-type="bibr" rid="B78">Young et&#xa0;al., 2021</xref>). SfM is a technique which involves producing 3-D surfaces from 2-D images (<xref ref-type="bibr" rid="B9">Braunstein, 1990</xref>), enabling the generation of orthomosaics and Digital Elevation Models (DEMs) for analyzing topographic and volumetric changes (<xref ref-type="bibr" rid="B76">Wheaton et&#xa0;al., 2010</xref>). Using high resolution DEMs and orthomosaics allows for vegetation and volumetric change detection even over short time periods, allows for detection of erosion before loss is extreme (in the range of meters), and improves comparisons of the coastal protection properties of different NbS (<xref ref-type="bibr" rid="B39">Kumar et&#xa0;al., 2021</xref>). This method allows repeatable, less-invasive monitoring of both shoreline elevation and marsh edge position across entire sites.</p>
<p>In this study, we evaluate how different horizontal and vertical uncertainty thresholds in SfM-based change detection influence the interpretation of shoreline response to the installation of engineered oyster reefs. We monitored three biodegradable engineered oyster reefs and a reference site with no reef, installed along an eroding shoreline in the Rachel Carson Reserve, North Carolina. We quantified vertical and horizontal shoreline change 2&#x2013;3 years post restoration between 2022 and 2023 using drone-SfM-derived products. By utilizing fine-scale remote sensing with site-specific field measurements, this study aims to advance our understanding of best practices for monitoring the effectiveness of nature-based shoreline protection strategies in intertidal environments.</p>
</sec>
<sec id="s2">
<label>2</label>
<title>Methods</title>
<sec id="s2_1">
<label>2.1</label>
<title>Study area</title>
<p>We focused on a stretch of shoreline located in the Rachel Carson National Estuarine Research Reserve along Taylor Creek in Carteret County, North Carolina (<xref ref-type="fig" rid="f1">
<bold>Figure&#xa0;1</bold>
</xref>). This area was identified as a region experiencing high rates of erosion by the reserve staff. Observed erosion is likely due to longshore current velocities caused by the 0.86m tidal range (<xref ref-type="bibr" rid="B49">NOAA, 2025</xref>) and the small fetch and high levels of boat traffic in Taylor Creek. To reduce shoreline erosion and trap sediment, as well as protect and restore salt marsh vegetation, engineered intertidal oyster reefs were constructed using a biodegradable substrate (Oyster Catcher&#x2122;) in July 2020. Oyster Catcher&#x2122; reefs are constructed by Sandbar Oyster Company using plant-fiber cloths and a mineral-based hardening agent. If the reef is not colonized by oysters, the material is expected to biodegrade (<xref ref-type="bibr" rid="B42">Lindquist and Cessna, 2018</xref>).</p>
<fig id="f1" position="float">
<label>Figure&#xa0;1</label>
<caption>
<p>
<bold>(A)</bold> Map showing study site location within the Rachel Carson Reserve along Taylor Creek in North Carolina (marked by red pin). <bold>(B)</bold> Images of Oyster Catcher&#x2122; reefs immediately post-installation in 2020 (left) and after oyster recruitment in 2022 (right). <bold>(C)</bold> Study site area before oyster reef installation in 2020 (imagery captured using a drone on April 6, 2020 for pre-construction assessment). Site areas are within the black rectangles. <bold>(D)</bold> Diagram of Oyster Catcher&#x2122; reefs.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fevo-13-1616227-g001.tif">
<alt-text content-type="machine-generated">Composite image with four panels: (A) shows a map of North Carolina highlighting Beaufort with measurement scales. (B) displays two photos of coastal structures, one with an engineered oyster reef with no oysters and one an engineered oyster reef with oysters. (C) presents an aerial view of Taylor Creek, locating four study sites labeled Site 1 (HR), Site 2 (CTRL), Site 3 (HR), and Site 4 (LR). (D) illustrates schematic diagrams of low-relief and high-relief structures with dimensions.</alt-text>
</graphic>
</fig>
<p>We conducted this study on three engineered oyster reefs and one control site with no oyster reef. Two of the oyster reefs measured 12m*2m*0.3m (length x width x height) and one measured 12m*2m*0.2m (<xref ref-type="fig" rid="f1">
<bold>Figure&#xa0;1D</bold>
</xref>). All sites, including the control site (CTRL), were 12m in length. Hereinafter, the oyster reefs with a height of 0.3m above the sediment surface will be referred to as high-relief (HR) reefs, and the oyster reef with a height of 0.2m above the sediment surface will be referred to as a low-relief (LR) reef. These two heights were chosen because they are in the range of elevations that are optimal for oyster growth in the Rachel Carson National Estuarine Research Reserve (<xref ref-type="bibr" rid="B25">Fodrie et&#xa0;al., 2014</xref>; <xref ref-type="bibr" rid="B58">Ridge et&#xa0;al., 2015</xref>). Taylor Creek is dredged for boat passage, and it was dredged during the study period in March of 2022. All three reef sites lacked low marsh but all sites including the control site had a landward high marsh consisting mostly of <italic>Juncus roemerianus</italic> (black needlerush). The control site also had a section of low marsh with <italic>Spartina alterniflora</italic> (also known as <italic>Sporobolus alterniflorus</italic>) as the dominant vegetation type.</p>
<p>We collected wave energy, sediment composition, oyster abundance and height, reef surface complexity, and slope data to characterize the study sites (<xref ref-type="table" rid="T1">
<bold>Table&#xa0;1</bold>
</xref>, see <xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary Material</bold>
</xref> for methods). The average wave height was similar across all sites, with an average wave height of 0.92cm in 2021 (&#xb1;0.55cm, p =0.08, <xref ref-type="table" rid="T1">
<bold>Table&#xa0;1</bold>
</xref>). Along the marsh edge, the ratio of mud to sand was similar in 2021 and 2023 (<xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary Figure&#xa0;1</bold>
</xref>). The average mud percentage across sites with engineered oyster reefs was 2.95% (&#xb1; 0.99%) while the average mud percentage at the control site was 6.78% (&#xb1; 1.48%; <xref ref-type="table" rid="T1">
<bold>Table&#xa0;1</bold>
</xref>). Oyster abundances and lengths were higher at sites 1 (HR) and 3 (HR) when compared to site 4 (LR) (p&lt;0.01; <xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary Figure&#xa0;2</bold>
</xref>). We calculated a steeper drop off in elevation seaward of the oyster reefs at sites 1 (HR), 2 (CTRL), and 4 (LR) 13&#xb0;, 11&#xb0; and 16&#xb0;, respectively) while site 3 (HR) is characterized by a more gradual decline in elevation (2&#xb0;) (<xref ref-type="table" rid="T1">
<bold>Table&#xa0;1</bold>
</xref>; <xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary Figure&#xa0;4</bold>
</xref>). However, these bathymetric data were collected prior to oyster reef installation, and the authors qualitatively observed the seaward slope increase in steepness at sites 1 (HR), 2 (CTRL), and 4 (LR) after oyster reef installation. Water levels during the study period (March 2, 2022 &#x2013; April 18, 2023) were slightly lower (1.3cm) than expected based on trends from the previous 10 years (March 2, 2012 &#x2013; March 1, 2022).</p>
<table-wrap id="T1" position="float">
<label>Table&#xa0;1</label>
<caption>
<p>Site characteristics.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" align="center">Site</th>
<th valign="middle" align="center">Site type</th>
<th valign="middle" align="center">Wave height (cm)</th>
<th valign="middle" align="center">Marsh edge (% mud)</th>
<th valign="middle" align="center">Landward of reef (% mud)</th>
<th valign="middle" align="center">Oyster abundances (per m<sup>2</sup>)</th>
<th valign="middle" align="center">Oyster lengths (mm)</th>
<th valign="middle" align="center">Reef surface complexity (m)</th>
<th valign="middle" align="center">Landward slope (degrees)</th>
<th valign="middle" align="center">Seaward slope (degrees)</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="middle" align="center">1</td>
<td valign="middle" align="center">HR</td>
<td valign="middle" align="center">0.94&#xb1;0.53</td>
<td valign="middle" align="center">3.1&#xb1;0.95</td>
<td valign="middle" align="center">10.24&#xb1;3.36</td>
<td valign="middle" align="center">315&#xb1;38</td>
<td valign="middle" align="center">69&#xb1;5</td>
<td valign="middle" align="center">1.49</td>
<td valign="middle" align="center">7.14&#xb1;6.30</td>
<td valign="middle" align="center">13.20&#xb1;4.31</td>
</tr>
<tr>
<td valign="middle" align="center">2</td>
<td valign="middle" align="center">CTRL</td>
<td valign="middle" align="center">0.93&#xb1;0.54</td>
<td valign="middle" align="center">6.78&#xb1;1.48</td>
<td valign="middle" align="center">6.67&#xb1;1.04</td>
<td valign="middle" align="center">&#x2013;</td>
<td valign="middle" align="center">&#x2013;</td>
<td valign="middle" align="center">&#x2013;</td>
<td valign="middle" align="center">7.86&#xb1;3.90</td>
<td valign="middle" align="center">11.37&#xb1;4.29</td>
</tr>
<tr>
<td valign="middle" align="center">3</td>
<td valign="middle" align="center">HR</td>
<td valign="middle" align="center">0.89&#xb1;0.51</td>
<td valign="middle" align="center">3.70&#xb1;1.02</td>
<td valign="middle" align="center">4.40&#xb1;0.83</td>
<td valign="middle" align="center">353&#xb1;24</td>
<td valign="middle" align="center">74&#xb1;4</td>
<td valign="middle" align="center">1.34</td>
<td valign="middle" align="center">10.35&#xb1;8.52</td>
<td valign="middle" align="center">2.18&#xb1;1.39</td>
</tr>
<tr>
<td valign="middle" align="center">4</td>
<td valign="middle" align="center">LR</td>
<td valign="middle" align="center">0.92&#xb1;0.51</td>
<td valign="middle" align="center">2.05&#xb1;0.40</td>
<td valign="middle" align="center">3.54&#xb1;0.79</td>
<td valign="middle" align="center">109&#xb1;29</td>
<td valign="middle" align="center">50&#xb1;5</td>
<td valign="middle" align="center">1.44</td>
<td valign="middle" align="center">8.94&#xb1;5.55</td>
<td valign="middle" align="center">16.35&#xb1;7.42</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>Wave heights were measured in June, August, and October of 2021. Mud percentages were measured using sediment samples collected along the marsh edge and landward of each reef or at a similar elevation at the control site in 2021 and 2023. Average oyster abundances and lengths were measured in March, June, September, and November of 2022 and March of 2023. Average reef surface complexity across 2022 and 2023 was calculated by dividing the 3D surface area by the 2D surface area of each reef using DEMs. Landward slopes were calculated using DEMs from 2022 and 2023 while seaward slopes were calculated using bathymetry data from NOAA&#x2019;s National Geodetic Survey from 2019-2020.</p>
</fn>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="s2_2">
<label>2.2</label>
<title>RTK-GNSS and drone data</title>
<p>We surveyed Ground Control Points (GCPs) using RTK-GNSS to align drone imagery with real-world XYZ coordinates. To increase accuracy, we created a survey-grade benchmark using the Trimble Spectra Precision SP80 system, which has a high-precision static post-processed accuracy of 3mm horizontally and 3.5mm vertically (Root Mean Squared Error [RMSE]) (<xref ref-type="bibr" rid="B3">SP80 manual, 2019</xref>). For benchmarking, we collected data continuously in 1-second intervals for a minimum of 2 hours. The ground-level GCPs consisted of orange squares with a black border and central X hammered flush to the ground with a surveyor&#x2019;s nail. In 2022, we also included elevated GCPs, consisting of a rebar staked into the ground with an orange square cap placed securely on top, and in 2023, our elevated GCPs consisted of raised PVC pipes driven into the ground with blue disks screwed to the top. We placed the elevated GCPs seaward of the oyster reefs at heights comparable to the reefs to enhance georeferencing around the oyster reefs. We recorded a total of 4 elevated and 18 ground-level GCPs in 2022, and in 2023, we recorded 6 elevated and 11 ground-level GCPs (<xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary Table&#xa0;1</bold>
</xref>). The SP80 receiver was placed over the center of each GCP, recording 1-second intervals at 60 fixed epochs. The overall (XYZ) benchmark RMSE for each year is shown in <xref ref-type="table" rid="T2">
<bold>Table&#xa0;2</bold>
</xref>. To estimate total positional uncertainty, we conservatively added the benchmark RMSE (base station error), horizontal rover precision, and vertical rover precision for each survey, as shown in <xref ref-type="table" rid="T2">
<bold>Table&#xa0;2</bold>
</xref>. This resulted in total RTK-GNSS uncertainties of 0.021 m in 2022 and 0.022 m in 2023.</p>
<table-wrap id="T2" position="float">
<label>Table&#xa0;2</label>
<caption>
<p>Errors used when assessing GCP error and generating precision estimates and number of GCPs collected each year along with the RTK-GNSS maximum horizontal and vertical standard deviations (roving measurement error).</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" align="center">Year</th>
<th valign="middle" align="center">Number of GCPs</th>
<th valign="middle" align="center">Horizontal precision (m)</th>
<th valign="middle" align="center">Vertical precision (m)</th>
<th valign="middle" align="center">Benchmark RMSE (m)</th>
<th valign="middle" align="center">Overall XYZ RMSE (m)</th>
<th valign="middle" align="center">Reprojection RMSE (pix)</th>
<th valign="middle" align="center">GCP image RMSE (pix)</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="center">2022</td>
<td valign="top" align="center">22</td>
<td valign="top" align="center">0.004</td>
<td valign="top" align="center">0.005</td>
<td valign="top" align="center">0.012</td>
<td valign="top" align="center">0.021</td>
<td valign="top" align="center">0.545</td>
<td valign="top" align="center">0.469</td>
</tr>
<tr>
<td valign="middle" align="center">2023</td>
<td valign="top" align="center">17</td>
<td valign="top" align="center">0.005</td>
<td valign="top" align="center">0.005</td>
<td valign="top" align="center">0.012</td>
<td valign="top" align="center">0.022</td>
<td valign="top" align="center">0.580</td>
<td valign="top" align="center">0.417</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>The Benchmark Root Mean Squared Error (RMSE) values represent the Online Positioning Use Service (OPUS) solution for the established benchmarks as overall RMSE at each survey. The GCP ground overall XYZ RMSE (m) is the sum of the horizontal and vertical roving measurement errors and the OPUS solution for the established benchmarks for each survey. The reprojection RMSE is the lowest RMSE between the projected reconstructed tie points and their corresponding original projections. The GCP image RMSE is the pixel error associated with identifying and marking the GCPs in the images.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>After surveying GCPs using RTK-GNSS, we conducted drone flights using a DJI Phantom 4 Pro with a 1&#x201d; CMOS Red-Green-Blue sensor. Federal Aviation Administration Part 107 certified remote pilots operated all flights. Wind speeds were monitored to ensure they were below 15 mph for flight safety and to minimize motion blur in the images. Optimal flight times relative to the predicted Mean Lower Low Water (MLLW) tide were determined using the Beaufort, Taylor Creek, NC station (ID: 8656518) (NOAA) (<xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary Figure&#xa0;5</bold>
</xref>). Flights were scheduled near MLLW to maximize topographic exposure; however, environmental conditions could not be fully standardized due to tidal and weather constraints. Variations in predicted low tide levels and cloud cover were unavoidable, but surveys were conducted around the same time of year: March 2, 2022 and April 18, 2023 &#x2013; to maintain temporal consistency. Flight plans were created using DJI Ground Station Pro with consistent settings across years: 15 m altitude, gimbal pitch angle of -60&#xb0;, a front overlap ratio of 75%, side overlap ratio of 80% to reduce error (<xref ref-type="bibr" rid="B47">Nesbit and Hugenholtz, 2019</xref>). Each survey included two crosshatch flights, one at 30&#xb0;course angle and another at 90&#xb0;. We used an oblique gimbal pitch angle because when combined with a crosshatch pattern flight, image geometry is enhanced which reduces systematic error in the DEMs (<xref ref-type="bibr" rid="B47">Nesbit and Hugenholtz, 2019</xref>). To help minimize motion blur, photos were captured while hovering at each waypoint. Flights covered 0.26 ha at 4.7 m/s, capturing a total of 182 waypoints across both years. Drone flights were conducted for pre-construction site assessment, but these were not included due to differing global navigation systems used which led to a higher overall RMSE than that of the data included in this study.</p>
</sec>
<sec id="s2_3">
<label>2.3</label>
<title>Drone data processing and analyses</title>
<sec id="s2_3_1">
<label>2.3.1</label>
<title>Drone imagery data processing</title>
<p>We used SfM photogrammetry in Agisoft Metashape Pro (v. 1.8.3) to generate DEMs and orthomosaics for assessing topographic changes and delineating the marsh edge. Our workflow followed principles outlined by <xref ref-type="bibr" rid="B16">Cooper et&#xa0;al. (2021)</xref> and <xref ref-type="bibr" rid="B30">Guan et&#xa0;al. (2022)</xref> but incorporated some modifications given our unique study site. To minimize the impact of poorly focused imagery on image alignment, we used the automatic image quality feature to exclude images with a quality lower than 0.6 units. We then matched overlapping image features into tie points using the &#x201c;align images&#x201d; function with a key point limit of 40,000 and tie point limit of 4,000. Tie points with reprojection errors greater than 0.7, 0.5, and 0.3 were tested and filtered to eliminate outliers. The threshold that most effectively improved our accuracy was 0.3. For quality control, we optimized the initial image network based on the lowest RMSE between the projected reconstructed tie points and their corresponding original projections (i.e., reprojection RMSE, as shown in <xref ref-type="table" rid="T2">
<bold>Table&#xa0;2</bold>
</xref>). All GCPs were identified and marked on the images using a combination of guided and manual approaches, providing further quality control for determining GCP RMSE in pixels (GCP image RMSE shown in <xref ref-type="table" rid="T2">
<bold>Table&#xa0;2</bold>
</xref>).</p>
<p>We then used the RTK-GNSS data collected for each GCP to georeference the images to the North American Datum of 1983 (NAD83) (2011), UTM Zone 18N (EPSG:6318), with elevations referenced to the North American Vertical Datum of 1988 (NAVD88) using the Geoid 18 model accompanied by a bundle adjustment using all GCPs as control. All bundle adjustments were performed using the camera parameters of focal length (f), principal point (cx, cy), and radial distortion (k1, k2, k3). Since the principle of Monte Carlo simulation follows the law of large numbers theorem by averaging the results of different GCPs over many trial runs, it provides a more reliable result of the expected elevation error (<xref ref-type="bibr" rid="B16">Cooper et&#xa0;al., 2021</xref>). Therefore, we adopted the Monte Carlo approach by <xref ref-type="bibr" rid="B35">James et&#xa0;al., 2012</xref>, simulating 100 iterations using a random subset of 70% of GCPs as control to build the model and a 30% subset as quality checkpoints to assess the accuracy of the model. This method was used to quantify the final XYZ error as one standard deviation (SD) for our SfM-derived products. A dense point cloud was generated and filtered to isolate ground points, which formed the basis for creating our DEMs. This filtering process involved manual classification and subsequent visual inspection. We then used the DEMs to generate the orthomosaics. Our DEMs from 2022 and 2023 had resolutions of 0.88 cm<sup>2</sup> and 0.98 cm<sup>2</sup>, and our orthomosaics had resolutions of 0.44 cm<sup>2</sup> and 0.49 cm<sup>2</sup>.</p>
</sec>
<sec id="s2_3_2">
<label>2.3.2</label>
<title>Image analysis and classification</title>
<p>To define the marsh edge where it transitions into foreshore topography, we applied digital image analysis and manual classification techniques. We used image segmentation to delineate the marsh edge, which supports reproducible shoreline mapping and enables consistent assessment of horizontal marsh retreat or expansion over time (e.g., <xref ref-type="bibr" rid="B64">Sirianni et&#xa0;al., 2022</xref>). We implemented image segmentation in ArcGIS Pro (v. 3.2) using the Segment Mean Shift (Spatial Analyst) algorithm to group pixels with similar spectral characteristics into segments (<xref ref-type="bibr" rid="B14">Comaniciu and Meer, 2002</xref>). Through trial and error, we selected optimal parameters for the algorithm: 20 for spectral detail, 9 for spatial detail, and a minimum segment size of 3,000, given the sub-centimeter fine resolution drone orthoimagery (0.44 cm<sup>2</sup> and 0.49 cm<sup>2</sup> per pixel).</p>
<p>After image segmentation, we overlaid the DEM, orthomosaic, and segmented image in ArcGIS Pro to manually classify each image segment into habitat types, including sandflat, water, low marsh, and high marsh. Classifications were conducted at visual scales ranging from 1:15 to 1:100 using our sub-centimeter resolution drone orthoimagery, informed by extensive field knowledge and on-site observations. For consistency and to reduce classification errors, all classifications were conducted by a single researcher using standard decision rules. We then converted the classified marsh polygons to line features representing the marsh edge. The resulting marsh edge delineation at each spatial scale used in the classification process is demonstrated in <xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary Figure&#xa0;6</bold>
</xref>, showing how segmentation and manual labeling were applied to generate reproducible and reliable shoreline boundaries.</p>
</sec>
<sec id="s2_3_3">
<label>2.3.3</label>
<title>Horizontal marsh edge movement</title>
<p>The changes in the horizontal position of the high marsh edge were assessed using the software package Analyzing Moving Boundaries Using R (AMBUR) (<xref ref-type="bibr" rid="B33">Jackson et&#xa0;al., 2012</xref>; <xref ref-type="bibr" rid="B55">Polk and Eulie, 2018</xref>; <xref ref-type="bibr" rid="B56">Polk et&#xa0;al., 2021</xref>). AMBUR generates transects between two baselines and uses the end point rate (EPR) to calculate the change between two marsh edge positions (<xref ref-type="bibr" rid="B33">Jackson et&#xa0;al., 2012</xref>). The End Point Rate Tool for QGIS and the Digital Shoreline Analysis System (DSAS) are also useful tools for calculating EPR, but they do not allow the use of two baselines for generating transects (<xref ref-type="bibr" rid="B70">Terres De Lima et&#xa0;al., 2021</xref>; <xref ref-type="bibr" rid="B31">Himmelstoss et&#xa0;al., 2018</xref>). In addition, AMBUR allows users to &#x201c;filter&#x201d; transects to reduce issues related to crisscrossing transects along irregular shorelines (<xref ref-type="bibr" rid="B33">Jackson et&#xa0;al., 2012</xref>). Because of the irregularity of the marsh edge delineations caused by the small pixel size of the orthomosaics, we selected AMBUR to ensure accurate EPR calculations using both an inner and outer baselines and utilizing the &#x201c;filter&#x201d; feature. We used a transect spacing of 1m and created inner and outer baselines for each site&#x2019;s marsh edge using the buffer tool in ArcGIS Pro. Though it is generally advised to use a transect spacing slightly greater than the resolution of your imagery, we chose a transect spacing of 1m to align with the methodologies of other studies in our region to allow for comparisons of our results (<xref ref-type="bibr" rid="B55">Polk and Eulie, 2018</xref>; <xref ref-type="bibr" rid="B56">Polk et&#xa0;al., 2021</xref>). The rate of change is equal to the change in horizontal edge positions divided by the time elapsed between the two marsh edges, with positive values indicating expansion seaward and negative values indicating retreat (<xref ref-type="bibr" rid="B24">Fletcher et&#xa0;al., 2003</xref>; <xref ref-type="bibr" rid="B17">Cowart et&#xa0;al., 2010</xref>; <xref ref-type="bibr" rid="B18">Currin et&#xa0;al., 2015</xref>). We calculated the EPR error using the following formula:</p>
<disp-formula id="eq1">
<label>(1)</label>
<mml:math display="block" id="M1">
<mml:mrow>
<mml:mtext>EPR&#xa0;error</mml:mtext>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msqrt>
<mml:mrow>
<mml:msup>
<mml:mrow>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mi>h</mml:mi>
<mml:mo>&#xa0;</mml:mo>
<mml:mi>u</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>c</mml:mi>
<mml:mo>&#xa0;</mml:mo>
<mml:mi>A</mml:mi>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msup>
<mml:mo>+</mml:mo>
<mml:msup>
<mml:mrow>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mi>h</mml:mi>
<mml:mo>&#xa0;</mml:mo>
<mml:mi>u</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>c</mml:mi>
<mml:mo>&#xa0;</mml:mo>
<mml:mi>B</mml:mi>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msup>
</mml:mrow>
</mml:msqrt>
</mml:mrow>
<mml:mrow>
<mml:mi>e</mml:mi>
<mml:mi>l</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>p</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>d</mml:mi>
<mml:mo>&#xa0;</mml:mo>
<mml:mi>t</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>m</mml:mi>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
</disp-formula>
<p>where, in our case, <italic>h unc A</italic> is the Monte Carlo horizontal RMSE of 2022 (&#xb1; 5.99cm) and <italic>h unc B</italic> is the Monte Carlo horizontal RMSE of 2023 (&#xb1; 3.47cm), and elapsed time is the time between the data collected in 2022 and the data collected in 2023 (1.13 years) (<xref ref-type="bibr" rid="B33">Jackson et&#xa0;al., 2012</xref>). We calculated horizontal marsh edge migration results in 3 ways; one in which all transects are included in the analysis, one in which transects within the EPR error were converted to a value of zero to indicate that no significant change had occurred, and one in which transects within the 95% confidence interval (CI) of the EPR error were converted to zero. We calculated the mean EPR value for each site to determine the average high marsh edge migration rate.</p>
</sec>
<sec id="s2_3_4">
<label>2.3.4</label>
<title>Volumetric changes</title>
<p>The influence of engineered oyster reefs on the development of the foreshore topography can be assessed using the DEM of Difference (DoD) approach, which is used in various morphological change detection studies (e.g., <xref ref-type="bibr" rid="B40">Lane et&#xa0;al., 1994</xref>; <xref ref-type="bibr" rid="B76">Wheaton et&#xa0;al., 2010</xref>; <xref ref-type="bibr" rid="B36">James et&#xa0;al., 2017</xref>; <xref ref-type="bibr" rid="B63">Sirianni et&#xa0;al., 2024</xref>). The DoD approach involves subtracting the older DEM from a newer DEM using the following equation:</p>
<disp-formula id="eq2">
<label>(2)</label>
<mml:math display="block" id="M2">
<mml:mrow>
<mml:mtext>DoD</mml:mtext>
<mml:mo>=</mml:mo>
<mml:mtext>DEM</mml:mtext>
<mml:mn>2</mml:mn>
<mml:mo>-</mml:mo>
<mml:mtext>DEM</mml:mtext>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:math>
</disp-formula>
<p>where in our case, DEM2 is the 2023 DEM and DEM1 is the 2022 DEM. To isolate changes specific to intertidal zones, we applied the habitat map as a mask, extracting areas classified as sandflat for analysis. Before subtracting our DEMs, we resampled the DEM with the lower cell size (0.88cm<sup>2</sup>) to the DEM with the higher cell size and alignment, resulting in a matching and aligned resolution of 0.98cm<sup>2</sup>.</p>
<p>To determine significant elevation changes in the DoD analysis, we applied four minimum critical threshold approaches to account for elevation uncertainty. First, we consider the annualized Monte Carlo simulated vertical precision estimate as a SD (3.79 cm, the largest vertical uncertainty between the two surveys), which is assumed to follow a normal distribution and is equivalent to the RMSE. Based on this assumption, we also apply a more conservative approach to estimate the linear error at the 95% CI (LE95) by multiplying the Monte Carlo error by 1.96, following guidelines by the National Standards for Spatial Data Accuracy (<xref ref-type="bibr" rid="B23">FGDC, 1998</xref>; <xref ref-type="bibr" rid="B15">Cooper et&#xa0;al., 2013</xref>). We determined this minimum threshold by multiplying the Monte Carlo simulated error <inline-formula>
<mml:math display="inline" id="im1">
<mml:mrow>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mi>M</mml:mi>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mi>&#x3c3;</mml:mi>
</mml:msub>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula> by 1.96:</p>
<disp-formula id="eq3">
<label>(3)</label>
<mml:math display="block" id="M3">
<mml:mrow>
<mml:mi>L</mml:mi>
<mml:mi>E</mml:mi>
<mml:mn>95</mml:mn>
<mml:mo>=</mml:mo>
<mml:mn>1.96</mml:mn>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>M</mml:mi>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mi>&#x3c3;</mml:mi>
</mml:msub>
<mml:mo>&#xa0;</mml:mo>
</mml:mrow>
</mml:math>
</disp-formula>
<p>The third approach provides a more robust estimate because it calculates the minimum level of detection (<sub>min</sub>LOD) by incorporating error from both DEMs used in the DoD analysis. We calculated the <sub>min</sub>LOD using the following equation:</p>
<disp-formula id="eq4">
<label>(4)</label>
<mml:math display="block" id="M4">
<mml:mrow>
<mml:msub>
<mml:mo>&#xa0;</mml:mo>
<mml:mrow>
<mml:mi>m</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>n</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mtext>LOD</mml:mtext>
<mml:mo>=</mml:mo>
<mml:msqrt>
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:msup>
<mml:mrow>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mi>v</mml:mi>
<mml:mo>&#xa0;</mml:mo>
<mml:mi>u</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>c</mml:mi>
<mml:mo>&#xa0;</mml:mo>
<mml:mi>A</mml:mi>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msup>
<mml:mo>+</mml:mo>
<mml:msup>
<mml:mrow>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mi>v</mml:mi>
<mml:mo>&#xa0;</mml:mo>
<mml:mi>u</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>c</mml:mi>
<mml:mo>&#xa0;</mml:mo>
<mml:mi>B</mml:mi>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msup>
</mml:mrow>
<mml:mrow>
<mml:mi>e</mml:mi>
<mml:mi>l</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>p</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>d</mml:mi>
<mml:mo>&#xa0;</mml:mo>
<mml:mi>t</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>m</mml:mi>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:msqrt>
</mml:mrow>
</mml:math>
</disp-formula>
<p>where <italic>v unc A</italic> is the Monte Carlo vertical RMSE of the 2022 DEM (&#xb1; 4.29cm) and <italic>v unc B</italic> is the Monte Carlo vertical RMSE of the 2023 DEM (&#xb1; 3.53) (<xref ref-type="bibr" rid="B26">Fuller et&#xa0;al., 2003</xref>). The final approach builds on the LE95 and <sub>min</sub>LOD by applying the 95% CI (CI95) of the <sub>min</sub>LOD (<xref ref-type="bibr" rid="B76">Wheaton et&#xa0;al., 2010</xref>). We calculated this threshold using:</p>
<disp-formula id="eq5">
<label>(5)</label>
<mml:math display="block" id="M5">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>I</mml:mi>
<mml:mn>95</mml:mn>
<mml:mo>&#x200b;</mml:mo>
<mml:mo>=</mml:mo>
<mml:mn>1.96</mml:mn>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>min</mml:mi>
<mml:mi>L</mml:mi>
<mml:mi>O</mml:mi>
<mml:mi>D</mml:mi>
</mml:mrow>
</mml:math>
</disp-formula>
<p>To assess significant elevation changes, we applied each uncertainty threshold to the DoD grid. Cells with elevation differences within +/-uncertainty were set to zero, indicating no significant change had occurred. We then multiplied the DoD grid cell values by their respective cell area to estimate erosion (negative values) and deposition (positive values) volumes of the nearshore topography for each oyster reef and reference site. To standardize comparisons, we divided the total erosion, deposition, and net volumetric change by the site area to obtain an average measure of sediment redistribution at each site.</p>
</sec>
</sec>
<sec id="s2_4">
<label>2.4</label>
<title>Statistical analyses</title>
<p>We conducted Kruskal-Wallis tests and Dunn&#x2019;s tests to determine if net volumetric changes varied significantly between site or uncertainty threshold used. We used one-way ANOVAs and Tukey&#x2019;s <italic>post-hoc</italic> test to determine if EPRs were significantly different between sites or uncertainty thresholds.</p>
</sec>
</sec>
<sec id="s3" sec-type="results">
<label>3</label>
<title>Results</title>
<sec id="s3_1">
<label>3.1</label>
<title>Horizontal marsh edge movement</title>
<p>Marsh edge retreat was observed across all sites (<xref ref-type="table" rid="T3">
<bold>Table&#xa0;3</bold>
</xref>). The magnitude of marsh edge retreat was not significantly different across sites. At site 1 (HR), site 2 (CTRL), site 3 (LR), and site 4 (HR), the marsh edge retreated by 0.29 &#xb1; 0.42 m/year, 0.35 &#xb1; 0.32 m/year, 0.48 &#xb1; 0.24 m/year, and 0.38 &#xb1; 0.39m/year, respectively. There was no significant difference between average marsh edge retreat values calculated using different uncertainty thresholds (no transects removed, transects within the EPR error removed (&#xb1;5.60cm), and transects within the 95% CI of the EPR error removed (&#xb1;10.97cm) (p = 0.9998). Across all sites, the marsh retreated an average of 0.38 &#xb1; 0.34 m/year.</p>
<table-wrap id="T3" position="float">
<label>Table&#xa0;3</label>
<caption>
<p>Annualized high marsh (HM) edge movement.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" align="center">Site</th>
<th valign="middle" align="center">Treatment</th>
<th valign="middle" align="center">HM edge movement (m/year) (no transects removed)</th>
<th valign="middle" align="center">HM edge movement (m/year) (EPR error)</th>
<th valign="middle" align="center">HM edge migration (m/year) (95% CI EPR error)</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="center">1</td>
<td valign="top" align="center">HR</td>
<td valign="top" align="center">-0.29</td>
<td valign="top" align="center">-0.29</td>
<td valign="middle" align="center">-0.29</td>
</tr>
<tr>
<td valign="middle" align="center">2</td>
<td valign="top" align="center">CTRL</td>
<td valign="top" align="center">-0.34</td>
<td valign="top" align="center">-0.35</td>
<td valign="top" align="center">-0.35</td>
</tr>
<tr>
<td valign="middle" align="center">3</td>
<td valign="top" align="center">HR</td>
<td valign="top" align="center">-0.48</td>
<td valign="top" align="center">-0.48</td>
<td valign="top" align="center">-0.48</td>
</tr>
<tr>
<td valign="middle" align="center">4</td>
<td valign="top" align="center">LR</td>
<td valign="top" align="center">-0.38</td>
<td valign="top" align="center">-0.38</td>
<td valign="top" align="center">-0.38</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>To calculate the high marsh edge movement in the EPR error column, transects within the range of the EPR error (&#xb1; 0.06m) were removed (<xref ref-type="disp-formula" rid="eq1">Equation 1</xref>). For the column furthest to the right, transects within the 95% CI of the EPR error (&#xb1; 0.12m) were removed. Negative values indicate high marsh edge retreat.</p>
</fn>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="s3_2">
<label>3.2</label>
<title>Elevation and volumetric changes</title>
<p>Using the <sub>min</sub>
<italic>LOD</italic> uncertainty threshold (uncertainty &#xb1;4.91 cm), all sites except site 4 (LR) experienced net volumetric losses (<xref ref-type="table" rid="T4">
<bold>Table&#xa0;4</bold>
</xref>). Site 2 (CTRL) experienced the greatest average net volumetric loss (-6.91 cm/year), followed by site 1 (HR) (-5.65 cm/year). Net volumetric changes were significantly different between each site (p&lt;0.01). Site 3 (HR) experienced the most average deposition of sediment (0.17 cm/year), but not enough to offset losses. Site 4 (LR) experienced no net volumetric change (0.00 cm/year). Site 2 (CTRL) had the greatest percent area of erosion at 98% while site 4 (LR) eroded at only 4.2% of the total area.</p>
<table-wrap id="T4" position="float">
<label>Table&#xa0;4</label>
<caption>
<p>Metrics calculated for each site using the DEM of difference (DoD) (<xref ref-type="disp-formula" rid="eq2">Equation 2</xref>) created using the <sub>min</sub>LOD uncertainty threshold (uncertainty &#xb1;3.80cm) including total area analyzed, annualized average net volumetric change, erosion, and deposition.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" align="center">Site</th>
<th valign="middle" align="center">Treatment</th>
<th valign="middle" align="center">Total area (m<sup>2</sup>)</th>
<th valign="middle" align="center">Avg. net vol. change (cm/year)</th>
<th valign="middle" align="center">Avg. erosion (cm/year)</th>
<th valign="middle" align="center">Avg. deposition (cm/year)</th>
<th valign="middle" align="center">Area of erosion</th>
<th valign="middle" align="center">Area of deposition</th>
<th valign="middle" align="center">Area of no change</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="center">1</td>
<td valign="top" align="center">HR</td>
<td valign="top" align="center">81.80</td>
<td valign="top" align="center">-5.65</td>
<td valign="top" align="center">-5.69</td>
<td valign="top" align="center">0.05</td>
<td valign="top" align="center">61%</td>
<td valign="top" align="center">0.44%</td>
<td valign="top" align="center">38%</td>
</tr>
<tr>
<td valign="middle" align="center">2</td>
<td valign="top" align="center">CTRL</td>
<td valign="top" align="center">22.40</td>
<td valign="top" align="center">-6.91</td>
<td valign="top" align="center">-6.92</td>
<td valign="top" align="center">0.00</td>
<td valign="top" align="center">98%</td>
<td valign="top" align="center">0%</td>
<td valign="top" align="center">2.0%</td>
</tr>
<tr>
<td valign="middle" align="center">3</td>
<td valign="top" align="center">HR</td>
<td valign="top" align="center">56.50</td>
<td valign="top" align="center">-2.66</td>
<td valign="top" align="center">-2.84</td>
<td valign="top" align="center">0.17</td>
<td valign="top" align="center">39%</td>
<td valign="top" align="center">1.8%</td>
<td valign="top" align="center">59%</td>
</tr>
<tr>
<td valign="middle" align="center">4</td>
<td valign="top" align="center">LR</td>
<td valign="top" align="center">66.13</td>
<td valign="top" align="center">0.00</td>
<td valign="top" align="center">-0.22</td>
<td valign="top" align="center">0.01</td>
<td valign="top" align="center">4.2%</td>
<td valign="top" align="center">0.16%</td>
<td valign="top" align="center">96%</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>Rates were calculated by dividing total net volumetric change, erosion, and deposition by the area of each site.</p>
</fn>
<fn>
<p>Negative values indicate sediment loss while positive values indicate sediment accumulation. Sites include high-relief reefs (HR), a low-relief reef (LR), and a control site (CTRL).</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>By observing the DoD, we can see that the greatest loss of elevation at site 1 (HR) occurred along the marsh edge (0.1-0.2cm/year), whereas the highest concentration of elevation loss at site 3 occurred on the west side of the reef (0.06-0.1 cm/year) as shown in the map (<xref ref-type="fig" rid="f2">
<bold>Figure&#xa0;2</bold>
</xref>). Site 3 (HR) had some increase in elevation just landward of the reef (0.06-0.1 cm/year). Site 2 (CTRL) had a loss in elevation across the entire site (0.1-0.2 cm/year), and site 4 (LR) held a relatively constant elevation from 2022 to 2023.</p>
<fig id="f2" position="float">
<label>Figure&#xa0;2</label>
<caption>
<p>Elevation changes for the foreshore topography at each site. Elevation loss is shown in red while elevation gain is shown in blue, and non-significant change is shown in white. The high marsh edge for each site is depicted using a green line for 2022 and a yellow line for 2023. The background imagery is the orthomosaic from 2023. The top left panel shows site 1 (a high-relief site), the top right panel shows site 2 (our control site), the bottom left panel shows site 3 (a high-relief site), and the bottom right panel shows site 4 (a low-relief site). All marsh grass and water has been filtered from the analysis.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fevo-13-1616227-g002.tif">
<alt-text content-type="machine-generated">A composite of four aerial images compares elevation changes from 2022 to 2023 at four coastal sites. Each is color-coded to indicate elevation changes, with red showing decreases (up to negative 0.2 meters and below), and blue showing increases (up to 0.2 meters and above). Green and orange outlines represent the high marsh edge positions in 2022 and 2023, respectively. North direction and scale bar are included for reference.</alt-text>
</graphic>
</fig>
<p>Applying different levels of uncertainty to our DoD resulted in variable estimates of net volumetric change, erosion, and deposition rates at each site (<xref ref-type="table" rid="T5">
<bold>Table&#xa0;5</bold>
</xref>). Our annualized uncertainty thresholds for <inline-formula>
<mml:math display="inline" id="im6">
<mml:mrow>
<mml:mi>M</mml:mi>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mi>&#x3c3;</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, <italic>LE</italic>95, <sub>min</sub>
<italic>LOD</italic>, and <italic>CI</italic>95 were &#xb1;3.79cm, &#xb1; 7.44cm, &#xb1; 4.91cm, and &#xb1;9.63cm, respectively. The estimates of net volumetric change using different uncertainty thresholds were significantly different (p&lt;0.01). Using the most conservative uncertainty threshold (<italic>CI</italic>95) resulted in the lowest estimates of net volumetric change, erosion, and deposition. This is most notable at site 2 (CTRL) where applying the <inline-formula>
<mml:math display="inline" id="im7">
<mml:mrow>
<mml:mi>M</mml:mi>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mi>&#x3c3;</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> uncertainty resulted in an average erosion rate of -6.99cm<sup>3</sup>/year but applying the <italic>CI</italic>95 uncertainty resulted in an erosion rate of only -0.31 cm<sup>3</sup>/year.</p>
<table-wrap id="T5" position="float">
<label>Table&#xa0;5</label>
<caption>
<p>Annualized average net volumetric change, erosion, and deposition rates calculated using different vertical uncertainties as the thresholds for the minimum level of detection (<italic>MC&#x3c3;</italic>, LE95, <sub>min</sub>LOD, and CI95).</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" align="center">7 Site</th>
<th valign="middle" align="center">Treatment</th>
<th valign="middle" align="center">Metric</th>
<th valign="middle" align="center">
<inline-formula>
<mml:math display="inline" id="im3">
<mml:mrow>
<mml:mi>M</mml:mi>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mi>&#x3c3;</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> (cm/year)</th>
<th valign="middle" align="center">
<italic>LE</italic>95 (cm/year)</th>
<th valign="middle" align="center">
<sub>min</sub>
<italic>LOD</italic> (cm/year)</th>
<th valign="middle" align="center">
<italic>CI</italic>95 (cm/year)</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left" rowspan="3">1</td>
<td valign="top" align="left" rowspan="3">HR</td>
<td valign="bottom" align="left">Net Volume Change</td>
<td valign="bottom" align="right">-6.1</td>
<td valign="bottom" align="right">-4.28</td>
<td valign="bottom" align="right">-5.65</td>
<td valign="bottom" align="right">-2.73</td>
</tr>
<tr>
<td valign="bottom" align="left">Erosion</td>
<td valign="bottom" align="right">-6.15</td>
<td valign="bottom" align="right">-4.32</td>
<td valign="bottom" align="right">-5.69</td>
<td valign="bottom" align="right">-2.76</td>
</tr>
<tr>
<td valign="bottom" align="left">Deposition</td>
<td valign="bottom" align="right">0.05</td>
<td valign="bottom" align="right">0.04</td>
<td valign="bottom" align="right">0.05</td>
<td valign="bottom" align="right">0.03</td>
</tr>
<tr>
<td valign="top" align="left" rowspan="3">2</td>
<td valign="top" align="left" rowspan="3">CTRL</td>
<td valign="bottom" align="left">Net Volume Change</td>
<td valign="bottom" align="right">
<bold>-</bold>6.99</td>
<td valign="bottom" align="right">-2.75</td>
<td valign="bottom" align="right">-6.91</td>
<td valign="bottom" align="right">-0.31</td>
</tr>
<tr>
<td valign="bottom" align="left">Erosion</td>
<td valign="bottom" align="right">
<bold>-6.99</bold>
</td>
<td valign="bottom" align="right">-2.75</td>
<td valign="bottom" align="right">-6.91</td>
<td valign="bottom" align="right">
<bold>-0.31</bold>
</td>
</tr>
<tr>
<td valign="bottom" align="left">Deposition</td>
<td valign="bottom" align="right">0</td>
<td valign="bottom" align="right">0</td>
<td valign="bottom" align="right">0</td>
<td valign="bottom" align="right">0</td>
</tr>
<tr>
<td valign="top" align="left" rowspan="3">3</td>
<td valign="top" align="left" rowspan="3">HR</td>
<td valign="bottom" align="left">Net Volume Change</td>
<td valign="bottom" align="right">-3.19</td>
<td valign="bottom" align="right">-1.37</td>
<td valign="bottom" align="right">-2.66</td>
<td valign="bottom" align="right">-0.12</td>
</tr>
<tr>
<td valign="bottom" align="left">Erosion</td>
<td valign="bottom" align="right">-3.4</td>
<td valign="bottom" align="right">-1.5</td>
<td valign="bottom" align="right">-2.84</td>
<td valign="bottom" align="right">-0.22</td>
</tr>
<tr>
<td valign="bottom" align="left">Deposition</td>
<td valign="bottom" align="right">0.2</td>
<td valign="bottom" align="right">0.12</td>
<td valign="bottom" align="right">0.17</td>
<td valign="bottom" align="right">0.1</td>
</tr>
<tr>
<td valign="top" align="left" rowspan="3">4</td>
<td valign="top" align="left" rowspan="3">LR</td>
<td valign="bottom" align="left">Net Volume Change</td>
<td valign="bottom" align="right">-0.6</td>
<td valign="bottom" align="right">0</td>
<td valign="bottom" align="right">-0.21</td>
<td valign="bottom" align="right">0</td>
</tr>
<tr>
<td valign="bottom" align="left">Erosion</td>
<td valign="bottom" align="right">-0.61</td>
<td valign="bottom" align="right">0</td>
<td valign="bottom" align="right">-0.22</td>
<td valign="bottom" align="right">0</td>
</tr>
<tr>
<td valign="bottom" align="left">Deposition</td>
<td valign="bottom" align="right">0.02</td>
<td valign="bottom" align="right">0</td>
<td valign="bottom" align="right">0.01</td>
<td valign="bottom" align="right">0</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>
<inline-formula>
<mml:math display="inline" id="im4">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mtext>MC</mml:mtext>
</mml:mrow>
<mml:mi>&#x3c3;</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the largested Monte Carlo simulated vertical precision estimate of the two surveys divided by the elapsed time (1.13 years), LE95 is <inline-formula>
<mml:math display="inline" id="im5">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mtext>MC</mml:mtext>
</mml:mrow>
<mml:mi>&#x3c3;</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> multiplied by 1.96 (<xref ref-type="disp-formula" rid="eq3">Equtaion 3</xref>), <sub>min</sub>LOD incorporates error from both DEMs (<xref ref-type="disp-formula" rid="eq4">Equation 4</xref>), and CI95 is LE95 multiplied by 1.96 (<xref ref-type="disp-formula" rid="eq5">Equation 5</xref>). Bolded values are discussed in section 3.2.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>The level of uncertainty used in DoD impacts how much detected change is retained or filtered out, as shown in <xref ref-type="fig" rid="f3">
<bold>Figure&#xa0;3</bold>
</xref>. The DoD without uncertainty filtering (demonstrated using site 1 and shown in <xref ref-type="fig" rid="f3">
<bold>Figure&#xa0;3A</bold>
</xref>) captures the most elevation change in red but includes differences within the DEM error margin, potentially overestimating volumetric change (<xref ref-type="bibr" rid="B59">Rumsby et&#xa0;al., 2008</xref>). Applying <inline-formula>
<mml:math display="inline" id="im9">
<mml:mrow>
<mml:mi>M</mml:mi>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mi>&#x3c3;</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> (<xref ref-type="fig" rid="f3">
<bold>Figure&#xa0;3B</bold>
</xref>), <sub>min</sub>
<italic>LOD</italic> (<xref ref-type="fig" rid="f3">
<bold>Figure&#xa0;3D</bold>
</xref>), and <italic>LE</italic>95 (<xref ref-type="fig" rid="f3">
<bold>Figure&#xa0;3C</bold>
</xref>) progressively removes areas with higher uncertainty. However, <italic>CI</italic>95 (<xref ref-type="fig" rid="f3">
<bold>Figure&#xa0;3E</bold>
</xref>) applies the strictest threshold, filtering out subtle changes. <xref ref-type="bibr" rid="B76">Wheaton et&#xa0;al. (2010)</xref> note that higher uncertainty thresholds such as <italic>CI</italic>95 result in more conservative estimates of erosion and deposition volumes. While this approach reduces false positives, it may also exclude small but ecologically meaningful changes in elevation. This could be problematic in short-term monitoring where detecting fine-scale sediment changes is needed to understand shoreline and habitat change (<xref ref-type="bibr" rid="B20">Duffy et&#xa0;al., 2018</xref>).</p>
<fig id="f3" position="float">
<label>Figure&#xa0;3</label>
<caption>
<p>Using site 1 as an example, this figure shows DoDs with different levels of uncertainties used as thresholds for the minimum level of detection; <bold>(A)</bold> no uncertainty, <bold>(B)</bold> <inline-formula>
<mml:math display="inline" id="im8">
<mml:mrow>
<mml:mi>M</mml:mi>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mi>&#x3c3;</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, <bold>(C)</bold> <italic>LE</italic>95, <bold>(D)</bold> <sub>min</sub>
<italic>LOD</italic>, e) <italic>CI</italic>95 where <bold>(A)</bold> applied no uncertainty threshold, <bold>(B)</bold> applied the greater uncertainty threshold of the two DEMs calculated from the Monte Carlo simulation, <bold>(C)</bold> applied the 95% CI of the greater uncertainty threshold of the two DEMs calculated from the Monte Carlo Simulation, <bold>(D)</bold> applied the uncertainty threshold calculated using the <sub>min</sub>LOD formula, and <bold>(E)</bold> applied the 95% CI of the <sub>min</sub>LOD. The area within the minimum level of detection for each figure is shown in white.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fevo-13-1616227-g003.tif">
<alt-text content-type="machine-generated">Five aerial images labeled A to E show elevation changes using different uncertainty thresholds at one coastal site from 2022 to 2023. A color scale indicates elevation changes in meters, ranging from dark red (less than or equal to -0.2) to dark blue (greater than or equal to 0.2). White areas indicate regions within the range of uncertainty. The images depict areas with varying elevation change detection based on the uncertainty threshold applied. Lower uncertainty thresholds result in larger areas of change detected (less white) while higher uncertainty thresholds result in smaller areas of change detected (more white).</alt-text>
</graphic>
</fig>
</sec>
</sec>
<sec id="s4" sec-type="discussion">
<label>4</label>
<title>Discussion</title>
<p>Our results revealed that the marsh edge eroded at all engineered oyster reef sites as well as the control site, and elevation declined at all sites except the low-relief engineered oyster reef site from 2022-2023. These results suggest that significant changes to the topography were occurring at our sites 2&#x2013;3 years post restoration. Applying different uncertainty thresholds to marsh edge movement calculations and volumetric change analyses resulted in similar marsh edge retreat values but significantly different volumetric change values. More conservative uncertainty thresholds (95% CI) produce more robust results but may filter out some ecologically important changes in short-term monitoring projects.</p>
<sec id="s4_1">
<label>4.1</label>
<title>Marsh edge vs. volumetric erosion</title>
<p>The marsh edge eroded at all sites regardless of reef presence. This is likely due to tidal currents caused by the 0.86m tidal range in Taylor Creek (<xref ref-type="bibr" rid="B49">NOAA, 2025</xref>), marsh drainage canals located between site 1 and 2 and between sites 2 and 3, and potentially due to elevation drop-off seaward of the oyster reefs (<xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary Figure&#xa0;1</bold>
</xref>). Although elevation has stayed consistent at site 4 (LR), the marsh edge retreated substantially, indicating that the oyster reef at this site is not protecting the marsh edge. However, it is possible that sediment losses from the eroding marsh edge are being trapped by the oyster reef, resulting in no net change in elevation at the site. The reef at site 4 was constructed at a lower height than the reefs at site 1 and 3, which could explain its ability to trap sediments more efficiently. In contrast, sites 1 and 3 displayed a net loss of elevation from 2022 to 2023. Some of the elevation losses could have been a product of initial sediment accretion and then redistribution qualitatively observed immediately post-construction of the reefs from 2020 to 2021 (R. Gittman, personal observation), however, due to logistical constraints, we were unable to quantify changes within the first year using the methods described in this study. Both sites 1 and 3 displayed elevation loss near the eastern side of the marsh edge which could be due to tidal current patterns. The elevation loss on the eastern side of site 3 could also be due to the marsh drainage canal between sites 2 and 3. However, site 1 experienced elevation loss directly landward of the oyster reef while site 3 did not. This could be due to differences in seaward bathymetry as the elevation decline seaward of site 1 is much steeper than the elevation decline at site 3 and/or due to scouring caused by interactions between the oyster reef and tidal currents. Site 1 also experienced high rates of marsh edge retreat and elevation loss along the marsh edge in the western region. This is likely due to a combination of factors including the tidal current velocities and the marsh drainage canal located just west of the marsh edge. It is also possible that the close proximity of the oyster reefs to each other influenced hydrodynamic patterns around the sites and caused erosion. It is important to note that this study lacks pre-restoration monitoring which limits our ability to conclude that marsh and sediment changes are due to reef installation. Future studies should incorporate pre-restoration monitoring to determine the influence of reef installation on erosional patterns. Our results indicate that topographic changes can occur even 2&#x2013;3 years post installation of shore-protection structures. This highlights the need for long-term monitoring of shore stabilization projects to evaluate performance (see <xref ref-type="bibr" rid="B5">Baker and Gittman, 2024</xref>).</p>
<p>Our measured marsh edge retreat measurements in the control and engineered oyster reefs are similar to other values reported in North Carolina at unprotected marshes behind living shorelines. <xref ref-type="bibr" rid="B55">Polk and Eulie, 2018</xref> measured marsh edge retreat at rates of -0.16 &#xb1; 0.82 m/year and -0.37 &#xb1; 0.16m/year after installation of living shorelines and -0.55 &#xb1; 0.82 m/year and -0.67 &#xb1; 0.16 at control sites in Carteret County, NC. In this study, horizontal marsh edge movement results using different error thresholds were not statistically significant from each other (p = 0.9998). To provide a more conservative estimate of marsh edge movement, we recommend filtering out transects within the 95% CI of the measure of uncertainty by converting these values to zeros. However, in regions with smaller rates of marsh edge movement, it may be beneficial to apply a less conservative uncertainty threshold to detect areas of marsh edge retreat.</p>
<p>Few studies have monitored elevation changes near living shorelines. However, <xref ref-type="bibr" rid="B67">Smith et&#xa0;al., 2018</xref> monitored elevation landward and seaward of unprotected marshes and living shorelines and found that the elevation at unprotected marshes remained consistent across a 2-year period, while elevation landward of living shorelines increased. This is in contrast to our results which indicated that elevation declined at all sites except our low-relief oyster reef site. Differences in site conditions, including wave energy, alongshore currents, slope, and vegetation coverage, as well as living shoreline designs and substrates likely contribute to differences in observed shoreline changes (see <xref ref-type="bibr" rid="B55">Polk and Eulie, 2018</xref>).</p>
<p>Though time-intensive, creating DEMs and orthomosaics with sub-centimeter resolutions using drones and SfM can assist with evaluating NbS (<xref ref-type="bibr" rid="B39">Kumar et&#xa0;al., 2021</xref>). Most NbS projects are funded for short-term periods (2&#x2013;5 years) (<xref ref-type="bibr" rid="B39">Kumar et&#xa0;al., 2021</xref>, <xref ref-type="bibr" rid="B50">O&#x2019;Leary et&#xa0;al., 2023</xref>). As such, to accurately evaluate the success of NbS, it is necessary to detect small-scale changes that may occur over small time-scales. High-resolution products can also assist practitioners in detecting spatial patterns of elevation change during ambient conditions or after storm events. For example, DEMs and orthomosaics may reveal erosion hot spots which is useful information for implementing adaptive management. Detecting changes at a centimeter level allows managers to implement NbS before erosion reaches meter-level magnitudes. High-resolution data is also necessary for comparing the coastal protection properties of different NbS as differences in protection may be minimal but ecologically or economically important.</p>
<p>Despite the availability of more sophisticated error-handling techniques, DoD remains widely used due to its efficiency. More advanced methods such as Monte Carlo simulation on DEMs (<xref ref-type="bibr" rid="B51">Oksanen &amp; Sarjakoski, 2005</xref>) and point clouds (<xref ref-type="bibr" rid="B16">Cooper et&#xa0;al., 2021</xref>) provide improved uncertainty handling. However, these computationally intensive methods require specialized skills, which might make them less practical for certain routine monitoring efforts. It is best practice to consider high levels of uncertainty filtering (e.g., <italic>CI</italic>95) to extend confidence in detected changes. However, current limitations in vertical accuracy (i.e., at the centimeter level) make their application challenging in short-term monitoring. In this study, the RTK-GNSS benchmarks had overall XYZ uncertainties of 0.021 and 0.022 m at each site (see <xref ref-type="table" rid="T2">
<bold>Table&#xa0;2</bold>
</xref>), and this error was appropriately carried into the SfM data processing. The inherent limitations of current GNSS technology mean that uncertainty at the centimeter level persists throughout the dataset. This makes it difficult to detect sub-centimeter-scale changes over short monitoring periods with high confidence. Stricter thresholds are beneficial for long-term studies to isolate the most significant changes. However, applying these thresholds over short time scales, where volumetric change is already minimal, filtered out nearly all detectable erosion and deposition in this short-term study. Future research should evaluate whether uncertainty thresholds disproportionately filter out subtle, spatially structured changes associated with real geomorphic or ecological processes, particularly in short-term monitoring contexts.</p>
</sec>
<sec id="s4_2">
<label>4.2</label>
<title>Site characteristics</title>
<p>To contextualize changes occurring around living shorelines, it is important to report site characteristics including wave energy, sediment composition, shoreline slope, oyster reef surface complexity, and oyster abundances (<xref ref-type="bibr" rid="B10">Bredes et&#xa0;al., 2024</xref>; <xref ref-type="bibr" rid="B71">Tweel et&#xa0;al., 2025</xref>; <xref ref-type="bibr" rid="B4">Baggett et&#xa0;al., 2015</xref>). Environmental wave energy can influence the ability of living shorelines to trap sediment (<xref ref-type="bibr" rid="B53">Palinkas et&#xa0;al., 2022</xref>). High wave energy may result in continued erosion of the shoreline while low energy can result in sediment trapping. However, wave energy must be high enough to transport sediment landward of the living shoreline (<xref ref-type="bibr" rid="B19">Davis et&#xa0;al., 2015</xref>; <xref ref-type="bibr" rid="B34">Jackson et&#xa0;al., 2002</xref>). Analyzing sediment grain size and shoreline slope can help to contextualize patterns of erosion and accretion (<xref ref-type="bibr" rid="B52">Palinkas et&#xa0;al., 2023</xref>; <xref ref-type="bibr" rid="B55">Polk and Eulie, 2018</xref>). Fine sediments often indicate low wave energy and sediment accretion while larger grain sizes often indicate high wave energy and erosion (<xref ref-type="bibr" rid="B72">Visher, 1967</xref>). Lastly, metrics of oyster reef complexity influence flow thereby influencing sedimentation rates (<xref ref-type="bibr" rid="B69">Styles, 2015</xref>). Oyster reefs can reduce incoming wave energy which allows lower rates of erosion and higher rates of sediment accretion (<xref ref-type="bibr" rid="B77">Wiberg et&#xa0;al., 2019</xref>).</p>
<p>In this study, we characterized sites by collecting data on recommended metrics including wave heights, sediment composition, landward and seaward shoreline slope, reef surface complexity, and oyster abundances and lengths (<xref ref-type="bibr" rid="B10">Bredes et&#xa0;al., 2024</xref>; <xref ref-type="bibr" rid="B4">Baggett et&#xa0;al., 2015</xref>). Due to the short duration of our study period, we were unable to make conclusions about how these characteristics may be influencing marsh edge movement and volumetric changes. We did not collect data on tidal current velocities. To assess the performance of shoreline stabilization features, it is critical to understand the processes influencing erosion and accretion patterns. Because of this, future living shoreline studies should monitor for longer durations and incorporate tidal current velocity to monitor seaward slopes (<xref ref-type="bibr" rid="B5">Baker and Gittman, 2024</xref>; <xref ref-type="bibr" rid="B75">Wang et&#xa0;al., 2023</xref>; <xref ref-type="bibr" rid="B10">Bredes et&#xa0;al., 2024</xref>).</p>
</sec>
<sec id="s4_3">
<label>4.3</label>
<title>Drone imagery and SfM for living shoreline monitoring</title>
<p>As demonstrated in this study, drone imagery and SfM photogrammetry can provide high resolution data for monitoring the coastal protection properties of living shorelines. However, there are several challenges associated with drones and SfM techniques. For example, the tidal levels of our flights were not exactly the same across years which resulted in higher water levels in 2022. Though this area was filtered out of analyses, it meant we were unable to measure erosion or deposition in these areas (see areas with no elevation change coloring in <xref ref-type="fig" rid="f2">
<bold>Figure&#xa0;2</bold>
</xref>). Because our site was located in a nature preserve accessible to the public, we were unable to place permanent benchmarks to verify elevation across years at the same location. In environments less accessible by the public, fixed benchmarks (e.g., survey nails or an existing structure) can provide a valuable control for repeat elevation and vertical accuracy checks.</p>
<p>Overall, this study demonstrates that drones and SfM techniques are valuable tools for assessing the performance of different living shoreline structures when appropriate uncertainty thresholds and site conditions are considered. Managers and practitioners should consider the benefits and drawbacks of using different levels of uncertainty when monitoring vertical and horizontal changes, as more conservative thresholds (e.g., CI95) reduce the risk of interpreting noise as real change but may also filter out subtle yet ecologically meaningful changes in short-term monitoring. When installing new living shoreline structures, it is important to consider site characteristics when selecting substrates and designs. For example, while elevation remained stable at the low-relief reef site, marsh edge retreat occurred across all sites, demonstrating the complexity of site-specific responses. More long-term studies are needed to evaluate the use of novel living shoreline structures in varying environmental conditions, and future research should incorporate hydrodynamic data such as tidal currents and seaward slope to provide context for understanding the patterns observed in the drone-derived data.</p>
<p>In addition to post-construction monitoring, drone-based surveys offer powerful tools for pre-construction assessments by enabling high-resolution mapping of elevation, slope, and land cover to inform site selection and design. Pre-construction data are critical for avoiding impacts to ecologically valuable habitats and for establishing robust baselines for change detection. However, as <xref ref-type="bibr" rid="B5">Baker and Gittman (2024)</xref> highlighted, most living shoreline projects lack co-funded monitoring at the planning stage, limiting the ability to rigorously evaluate ecological and geomorphic outcomes. This study reflects that challenge, as no pre-restoration data with comparable horizontal resolution and vertical accuracy were available to detect fine-scale changes. This limitation underscores the need to prioritize high-resolution baseline surveys, particularly with drone-based methods. Future efforts should prioritize co-funded pre-restoration drone surveys with <italic>in-situ</italic> observations to support more rigorous before&#x2013;and&#x2013;after comparisons and better link observed outcomes to site characteristics and intervention types.</p>
</sec>
</sec>
</body>
<back>
<sec id="s5" sec-type="data-availability">
<title>Data availability statement</title>
<p>The datasets presented in this study can be found in online repositories. The names of the repository/repositories and accession number(s) can be found below: Open Science Foundation (OSF) data repository, accession DOI 10.17605/OSF.IO/SJVPN.</p>
</sec>
<sec id="s6" sec-type="author-contributions">
<title>Author contributions</title>
<p>MG: Writing &#x2013; original draft, Formal analysis, Visualization, Methodology, Conceptualization, Investigation. GT: Writing &#x2013; review &amp; editing, Investigation, Methodology, Formal analysis. HS: Methodology, Investigation, Writing &#x2013; review &amp; editing, Funding acquisition. SN: Funding acquisition, Writing &#x2013; review &amp; editing. CB: Funding acquisition, Writing &#x2013; review &amp; editing. PM: Writing &#x2013; review &amp; editing, Funding acquisition. BP: Writing &#x2013; review &amp; editing. JR: Writing &#x2013; review &amp; editing. RG: Writing &#x2013; review &amp; editing, Methodology, Funding acquisition.</p>
</sec>
<sec id="s7" sec-type="funding-information">
<title>Funding</title>
    <p>The author(s) declare financial support was received for the research and/or publication of this article. This project is funded, in part, by the US Coastal Research Program (USCRP) as administered by the US Army Corps of Engineers<sup>&#xae;</sup> (USACE), Department of Defense and National Sea Grant, as administered by the National Oceanographic and Atmospheric Administration (NOAA) (Grant #s W912HZ2120010 and NA23OAR4170122-T1-01). Initial site characteristics monitoring was funded by a North Carolina Sea Grant (NCSG) Community Collaborative Research Grant (CCRG) (Grant # 2011-1590-08 20-CCRG-02) in partnership with the North Carolina Coastal Reserve and NOAA National Estuarine Research Reserve and the NC Policy Collaboratory (Grant #s 20170 12593&#x2013;221010 and 20170 12593&#x2013;221010 KOAST). Geesin's participation was supported by funding from the National Science Foundation Coastal Community Environmental Science Data Scholars National Research Traineeship (grant # DGE-2125684) and from the North Carolina Sea Grant-Space Grant graduate research fellowship. Dr. Narayan&#x2019;s time on this work was supported by National Science Foundation DISES grant #2206479. The oyster reef construction was funded by the U.S. Fish and Wildlife Service (USFWS) Atlantic Coast fish Habitat Partnership (ACFHP) (Grant # F19AP00230) and construction materials and labor were provided by Sandbar Oyster Company and East Carolina University. The authors acknowledge the USACE, NOAA, Sea Grant, and USCRP&#x2019;s support of their effort to strengthen coastal academic programs and address coastal community needs in the United States.</p>
</sec>
<ack>
<title>Acknowledgments</title>
<p>Thank you to Anna Albright, James Kelley, Ryann Knowles, Philip Van Wagoner, Jenny Fickler, Charles Brooks III, Chiante Brown, and the Gittman lab for their assistance with monitoring and sample collection.</p>
</ack>
<sec id="s8" sec-type="COI-statement">
<title>Conflict of interest</title>
<p>The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec id="s9" sec-type="ai-statement">
<title>Generative AI statement</title>
<p>The author(s) declare that no Generative AI was used in the creation of this manuscript.</p>
<p>Any alternative text (alt text) provided alongside figures in this article has been generated by Frontiers with the support of artificial intelligence and reasonable efforts have been made to ensure accuracy, including review by the authors wherever possible. If you identify any issues, please contact us.</p>
</sec>
<sec id="s10" sec-type="disclaimer">
<title>Publisher&#x2019;s note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
<sec id="s11" sec-type="disclaimer">
<title>Author disclaimer</title>
<p>Any opinions, findings, and conclusions or recommendations expressed in this material are those of the authors&#x2019; and do not necessarily reflect the views of the National Science Foundation. The content of the information provided in this publication does not necessarily reflect the position or the policy of the government, and no official endorsement should be inferred.</p>
</sec>
<sec id="s12" sec-type="supplementary-material">
<title>Supplementary material</title>
<p>The Supplementary Material for this article can be found online at: <ext-link ext-link-type="uri" xlink:href="https://www.frontiersin.org/articles/10.3389/fevo.2025.1616227/full#supplementary-material">https://www.frontiersin.org/articles/10.3389/fevo.2025.1616227/full#supplementary-material</ext-link>
</p>
<supplementary-material xlink:href="SupplementaryFile1.docx" id="SM1" mimetype="application/vnd.openxmlformats-officedocument.wordprocessingml.document"/>
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