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<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Mar. Sci.</journal-id>
<journal-title-group>
<journal-title>Frontiers in Marine Science</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Mar. Sci.</abbrev-journal-title>
</journal-title-group>
<issn pub-type="epub">2296-7745</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.3389/fmars.2026.1757991</article-id>
<article-version article-version-type="Version of Record" vocab="NISO-RP-8-2008"/>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Original Research</subject>
</subj-group>
</article-categories>
<title-group>
<article-title>Extending a scalable satellite-based vegetation edge detection framework to diverse tropical coasts</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes">
<name><surname>Nugraha</surname><given-names>Idham</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
<xref ref-type="corresp" rid="c001"><sup>*</sup></xref>
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</contrib>
<contrib contrib-type="author">
<name><surname>Muir</surname><given-names>Freya M. E.</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<uri xlink:href="https://loop.frontiersin.org/people/3386018/overview"/>
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</contrib>
<contrib contrib-type="author">
<name><surname>Naylor</surname><given-names>Larissa A.</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
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<contrib contrib-type="author">
<name><surname>Hurst</surname><given-names>Martin D.</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
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<aff id="aff1"><label>1</label><institution>School of Geographical and Earth Sciences, University of Glasgow</institution>, <city>Glasgow</city>,&#xa0;<country country="gb">United Kingdom</country></aff>
<aff id="aff2"><label>2</label><institution>Department of Urban and Regional Planning, Universitas Islam Riau</institution>, <city>Pekanbaru</city>, <state>Riau</state>,&#xa0;<country country="id">Indonesia</country></aff>
<author-notes>
<corresp id="c001"><label>*</label>Correspondence: Idham Nugraha, <email xlink:href="mailto:i.nugraha.1@research.gla.ac.uk">i.nugraha.1@research.gla.ac.uk</email></corresp>
</author-notes>
<pub-date publication-format="electronic" date-type="pub" iso-8601-date="2026-03-03">
<day>03</day>
<month>03</month>
<year>2026</year>
</pub-date>
<pub-date publication-format="electronic" date-type="collection">
<year>2026</year>
</pub-date>
<volume>13</volume>
<elocation-id>1757991</elocation-id>
<history>
<date date-type="received">
<day>01</day>
<month>12</month>
<year>2025</year>
</date>
<date date-type="accepted">
<day>31</day>
<month>01</month>
<year>2026</year>
</date>
<date date-type="rev-recd">
<day>27</day>
<month>01</month>
<year>2026</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2026 Nugraha, Muir, Naylor and Hurst.</copyright-statement>
<copyright-year>2026</copyright-year>
<copyright-holder>Nugraha, Muir, Naylor and Hurst</copyright-holder>
<license>
<ali:license_ref start_date="2026-03-03">https://creativecommons.org/licenses/by/4.0/</ali:license_ref>
<license-p>This is an open-access article distributed under the terms of the <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">Creative Commons Attribution License (CC BY)</ext-link>. 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.</license-p>
</license>
</permissions>
<abstract>
<p>Monitoring vegetation edges in dynamic coastal zones is essential for understanding long-term shoreline change and supporting effective coastal management, particularly as climate change accelerates erosion, sea-level rise, and ecosystem shifts. This study provides the first validation of VedgeSat, an automated Vegetation Edge (VE) detection toolkit, in contrasting tropical coastal environments, with relevance for coastal monitoring worldwide. In Sumatra, Indonesia, fifteen sites were assessed, encompassing diverse vegetation and sediment types, a range of water clarity, and varying wave exposures in both open and sheltered coastal settings. Vegetation edge detection was conducted with high-resolution PlanetScope imagery and differential Global Positioning System (dGPS) field surveys. VedgeSat performed reliably in areas with dense vegetation, regardless of the type of vegetation or sediment, and water clarity achieving sub-pixel root mean square errors (RMSE) of less than 7 m, R<sup>2</sup> values up to 0.89 and minimal positional bias. Performance declined in areas with sparse and patchy vegetation, such as pioneer mangroves and grasses in sandy environments, resulting in higher RMSE and reduced R<sup>2</sup> values. A sensitivity analysis demonstrated that tuning the threshold of Normalized Difference Vegetation Index (NDVI) values can optimize edge detection across diverse vegetation types and environments. Overall, the results confirm the robustness of VedgeSat for scalable monitoring of vegetated coasts without retraining, while also identifying limitations in sparsely vegetated settings. This study provides the first benchmark for automated vegetation edge detection in tropical systems and demonstrates the potential of satellite-based approaches to enable large-scale, repeatable, and cost-effective coastal monitoring in data-scarce regions.</p>
</abstract>
<kwd-group>
<kwd>coastal erosion</kwd>
<kwd>coastal monitoring</kwd>
<kwd>Indonesia</kwd>
<kwd>NDVI</kwd>
<kwd>tropical coasts</kwd>
<kwd>VedgeSat</kwd>
<kwd>vegetation edge</kwd>
</kwd-group>
<funding-group>
<award-group id="gs1">
<funding-source id="sp1">
<institution-wrap>
<institution>Lembaga Pengelola Dana Pendidikan</institution>
<institution-id institution-id-type="doi" vocab="open-funder-registry" vocab-identifier="10.13039/open_funder_registry">10.13039/501100014538</institution-id>
</institution-wrap>
</funding-source>
</award-group>
<award-group id="gs2">
<funding-source id="sp2">
<institution-wrap>
<institution>Natural Environment Research Council</institution>
<institution-id institution-id-type="doi" vocab="open-funder-registry" vocab-identifier="10.13039/open_funder_registry">10.13039/501100000270</institution-id>
</institution-wrap>
</funding-source>
</award-group>
<funding-statement>The author(s) declared that financial support was received for this work and/or its publication. This research was funded by an award from the Indonesia Endowment Fund for Education (LPDP) under award number: SKPB-1550/LPDP/LPDP.3/2025, granted to Idham Nugraha; Freya M. E. Muir was supported by an IAPETUS2 PhD studentship funded by the Natural Environment Research Council (grant reference NE/S007431/1).</funding-statement>
</funding-group>
<counts>
<fig-count count="16"/>
<table-count count="1"/>
<equation-count count="5"/>
<ref-count count="57"/>
<page-count count="22"/>
<word-count count="11835"/>
</counts>
<custom-meta-group>
<custom-meta>
<meta-name>section-at-acceptance</meta-name>
<meta-value>Coastal Ocean Processes</meta-value>
</custom-meta>
</custom-meta-group>
</article-meta>
</front>
<body>
<sec id="s1" sec-type="intro">
<label>1</label>
<title>Introduction</title>
<p>Coastal areas are among the most densely developed regions globally, supporting around 11% of the global population despite comprising only 4% of the Earth&#x2019;s total land area (<xref ref-type="bibr" rid="B22">Magnan et&#xa0;al., 2019</xref>; <xref ref-type="bibr" rid="B20">Lopez-Rivas and Cardenas, 2024</xref>). Rapid population growth and intensified economic activities including urbanization, industrial expansion, and infrastructure development have increased pressures on coastal environments, leading to habitat and biodiversity loss, ecosystem degradation, and declining water quality (<xref ref-type="bibr" rid="B49">Wang et&#xa0;al., 2018</xref>; <xref ref-type="bibr" rid="B38">Sahavacharin et&#xa0;al., 2022</xref>; <xref ref-type="bibr" rid="B29">Pang et&#xa0;al., 2023</xref>). Simultaneously, physical processes such as tides, storms, and waves, compounded by climate-driven sea level rise and storm intensification, continue to reshape coastal landscapes (<xref ref-type="bibr" rid="B2">Bengoufa et&#xa0;al., 2021</xref>; <xref ref-type="bibr" rid="B13">Ennouali et&#xa0;al., 2023</xref>). These human and natural forces interact across multiple spatial and temporal scales to drive shoreline change (<xref ref-type="bibr" rid="B8">Ding et&#xa0;al., 2021</xref>; <xref ref-type="bibr" rid="B23">Marfai et&#xa0;al., 2022</xref>; <xref ref-type="bibr" rid="B30">Pardo-Pascual et&#xa0;al., 2024</xref>). Understanding these dynamics is fundamental for anticipating coastal responses to climate and anthropogenic pressures and for designing effective coastal-zone management strategies (<xref ref-type="bibr" rid="B15">Hagenaars et&#xa0;al., 2018</xref>; <xref ref-type="bibr" rid="B48">Vousdoukas et&#xa0;al., 2020</xref>; <xref ref-type="bibr" rid="B36">Rogers et&#xa0;al., 2021</xref>).</p>
<p>Monitoring shoreline dynamics commonly relies on two main approaches: datum-based and proxy-based methods, which respectively define the shoreline as an intersection with a vertical datum (e.g., Above Mean Sea Level or Mean High Water) or a visually discernible feature such as the water or vegetation line (<xref ref-type="bibr" rid="B4">Boak and Turner, 2005</xref>; <xref ref-type="bibr" rid="B33">Pollard et&#xa0;al., 2019</xref>; <xref ref-type="bibr" rid="B46">Vos et&#xa0;al., 2019a</xref>). Datum-based methods provide high accuracy but depend on topographic data acquired from Real-Time Kinematic GPS or high-resolution Digital Elevation Models derived from Unmanned Aerial Vehicles (<xref ref-type="bibr" rid="B37">Ruggiero et&#xa0;al., 2005</xref>; <xref ref-type="bibr" rid="B16">Harley et&#xa0;al., 2011</xref>; <xref ref-type="bibr" rid="B21">Luppichini et&#xa0;al., 2020</xref>). Although precise, they are limited in spatial and temporal coverage and costly to obtain (<xref ref-type="bibr" rid="B24">McAllister et&#xa0;al., 2022</xref>; <xref ref-type="bibr" rid="B46">Vos et&#xa0;al., 2019a</xref>).</p>
<p>In contrast, proxy-based methods delineate the shoreline from optical imagery using features such as the high-water line or wet/dry boundary (<xref ref-type="bibr" rid="B36">Rogers et&#xa0;al., 2021</xref>; <xref ref-type="bibr" rid="B24">McAllister et&#xa0;al., 2022</xref>). These methods predominantly rely on Earth Observation (EO) imagery to extract the shoreline position. For instance, wet/dry boundary extraction can be performed using the thresholds of water indices such as the Normalized Difference Water Index (NDWI) (<xref ref-type="bibr" rid="B15">Hagenaars et&#xa0;al., 2018</xref>) or the Automated Water Extraction Index (AWEI) (<xref ref-type="bibr" rid="B43">Taruna et&#xa0;al., 2024</xref>). Earth-observation platforms therefore provide extensive information and cost-effective over spatial and temporal resolution, compared to <italic>in-situ</italic> surveys (<xref ref-type="bibr" rid="B26">Muir et&#xa0;al., 2024</xref>; <xref ref-type="bibr" rid="B30">Pardo-Pascual et&#xa0;al., 2024</xref>; <xref ref-type="bibr" rid="B46">Vos et&#xa0;al., 2019a</xref>). However, there is a trade-off among the spatial, temporal, and spectral resolutions, where higher temporal resolution often comes at the expense of the spatial resolution (<xref ref-type="bibr" rid="B51">Wen et&#xa0;al., 2024</xref>).</p>
<p>Recent developments in Satellite-Derived Shoreline (SDS) algorithms and cloud-processing platforms such as Google Earth Engine (GEE) have mitigated some these trade-offs, offering scalable, reproducible, and computationally efficient frameworks (<xref ref-type="bibr" rid="B15">Hagenaars et&#xa0;al., 2018</xref>; <xref ref-type="bibr" rid="B7">Chu et&#xa0;al., 2020</xref>; <xref ref-type="bibr" rid="B45">Vasdev, 2020</xref>). SDS approaches have demonstrated sub-pixel accuracies under favorable conditions. For instance, <xref ref-type="bibr" rid="B15">Hagenaars et&#xa0;al. (2018)</xref> achieved accuracies better than 5 m over 143 automated shorelines along the Sand Motor, Netherlands. <xref ref-type="bibr" rid="B39">S&#xe1;nchez-Garc&#xed;a et&#xa0;al. (2020)</xref> reported &lt;3 m sub-pixel accuracy using SHOREX in Mallorca, while <xref ref-type="bibr" rid="B1">Abdelhady et&#xa0;al. (2022)</xref> proposed the Direct Difference Water Index (DDWI) and applied it to 132 satellite images, reaching 99% classification accuracy.</p>
<p>SDS methods have emerged as valuable tools for shoreline position detection (<xref ref-type="bibr" rid="B12">ElGharbawi et&#xa0;al., 2024</xref>), with the integration of GEE being particularly beneficial in overcoming the temporal and spatial trade-offs that often limit the precision of proxy-based methods. The CoastSat toolkit developed by <xref ref-type="bibr" rid="B47">Vos et&#xa0;al. (2019b)</xref> leveraging publicly available satellite imagery processed via GEE that allows users to identify the shoreline along sandy coastlines. The tool demonstrated robust performance across a range of coastal settings achieving accuracy better than 10 m. CoastSeg was introduced by <xref ref-type="bibr" rid="B14">Fitzpatrick et&#xa0;al. (2024)</xref>, an interactive, browser-based interface that builds upon CoastSat to improve the accessibility and scalability of SDS workflows. However, these studies highlighted the challenges associated with environmental factors such as tidal variability, wave breaking and wave run-up, which may affect the shoreline accuracy, as well as the need for further validation in more complex coastal morphologies.</p>
<p>Shoreline positions vary substantially with tidal conditions, wave breaking, and run-up processes, which fluctuate periodically (<xref ref-type="bibr" rid="B53">Zhao et&#xa0;al., 2023</xref>; <xref ref-type="bibr" rid="B30">Pardo-Pascual et&#xa0;al., 2024</xref>). During high tide the shoreline appears more landward, whereas at low tide it extends seaward. Breaking waves generate foam or whitewater that obscures the true shoreline position, while wave run-up temporarily pushes the instantaneous waterline further inland than its still-water level, which refers to the shoreline location under calm conditions without wave influence. These hydrodynamic effects introduce temporal inconsistencies in shoreline detection when images are acquired under varying tidal and wave stages. To mitigate these uncertainties, <xref ref-type="bibr" rid="B31">Pardo-Pascual et&#xa0;al. (2018)</xref> incorporated short-wave infrared bands with machine-learning classification to reduce the effects of waves breaking and run-up, while <xref ref-type="bibr" rid="B46">Vos et&#xa0;al. (2019a</xref>, <xref ref-type="bibr" rid="B47">b)</xref> implemented a tidal-correction approach in CoastSat to normalize shoreline positions to a reference datum using tidal height and beach slope information. Although effective, this method depend on reliable tidal records, often obtained through repeated field surveys, which poses challenges in areas with observation gaps (<xref ref-type="bibr" rid="B26">Muir et&#xa0;al., 2024</xref>). Moreover, they assume a uniform beach slope that rarely reflects natural variability caused by sediment deposition, erosion, and wave energy, as well as seasonal and storm-driven morphodynamic changes (<xref ref-type="bibr" rid="B10">Doran et&#xa0;al., 2015</xref>; <xref ref-type="bibr" rid="B3">Bergsma et&#xa0;al., 2021</xref>).</p>
<p>To address the limitations of conventional shoreline position detection based on wet-dry proxies, this study adopts the coastal vegetation edge (VE) as an alternative and complementary proxy for shoreline position. This proxy is considered more stable and accurate because it is less sensitive to variability caused by the tidal stage fluctuations and wave actions (a key source of uncertainty in wet-dry metrics), as well as representing evidence for extreme flooding, erosion and accretion through the links between vegetation and shoreface geomorphology (<xref ref-type="bibr" rid="B44">Toure et&#xa0;al., 2019</xref>; <xref ref-type="bibr" rid="B26">Muir et&#xa0;al., 2024</xref>). The conceptual distinction between waterline and vegetation edge proxies is illustrated in <xref ref-type="fig" rid="f1"><bold>Figure&#xa0;1</bold></xref>. Automated VE detection (VEdge_Detector) was first demonstrated by <xref ref-type="bibr" rid="B36">Rogers et&#xa0;al. (2021)</xref> using machine learning segmentation of PlanetScope and RapidEye imagery (3&#x2013;5 m resolution), demonstrating strong performance across diverse environments, including sandy and cliff-backed shorelines and achieving mean positional accuracy better than 6 m across four coastal areas of the United Kingdom (UK), and one coastal area each in the Netherlands and Australia. Building on this, <xref ref-type="bibr" rid="B26">Muir et&#xa0;al. (2024)</xref> developed VedgeSat, an automated toolkit integrated within the CoastSat framework (<xref ref-type="bibr" rid="B47">Vos et&#xa0;al., 2019b</xref>) to delineate multiple vegetation edges from Landsat, Sentinel-2, and PlanetScope datasets. VedgeSat achieved sub-pixel RMSE values as low as 9.3 m using Sentinel-2 data, particularly in sandy environments, underscoring the potential of VE mapping to deliver reliable positional accuracy of coastal change.</p>
<fig id="f1" position="float">
<label>Figure&#xa0;1</label>
<caption>
<p>Conceptual illustration of vegetation edge (VE) and waterline proxies for shoreline position. <bold>(A)</bold> Schematic representation of a low-gradient tropical coastal setting illustrating the spatial relationship between the vegetation edge (VE), waterline positions at high and low tide, and the hydrodynamic influence zone affected by tidal fluctuations, wave breaking, and wave run-up. <bold>(B)</bold> Conceptual cross-shore profile highlighting how tidal stage and wave processes influence the apparent shoreline position derived from waterline-based approaches, in contrast to the landward vegetation edge.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-13-1757991-g001.tif">
<alt-text content-type="machine-generated">Panel A shows a flat coastal land with grass, mangroves, and palm trees, illustrating vegetation edge, high and low tide waterlines, and a hydrodynamic influence zone. Panel B shows a sloped coast with palm trees, highlighting similar features with steeper land meeting the sea and wave influence zone marked between tides.</alt-text>
</graphic></fig>
<p>Despite these advances, both VEdge_Detector and VedgeSat methods show limitations in certain environments. VEdge_Detector is less effective in detecting vegetation edges in rocky coastlines, estuaries and urbanized areas due to reduced spectral contrast, while VedgeSat struggles in diffuse transition zones where sparse or juvenile vegetation obscures the true boundary between vegetated and non-vegetated areas (<xref ref-type="bibr" rid="B26">Muir et&#xa0;al., 2024</xref>). These issues become more pronounced in tropical coasts, where heterogenous vegetation types, mixed sediments and water turbidity reduced spectral contrast. Although a recent application in the Rio de la Plata Estuary (<xref ref-type="bibr" rid="B19">L&#xf3;pez et&#xa0;al., 2025</xref>) demonstrated the toolkit advantage for estuarine wetlands, that study focused on long-term vegetation edge trends leaving a gap in the understanding of performance and positional accuracy of VE detection.</p>
<p>Technically, VedgeSat delineates VEs through NDVI thresholding, where threshold values determine the vegetated-non vegetated boundary. While the toolkit includes automated threshold estimation using Weighted Peaks algorithms, threshold selection remains a critical factor affecting model performance and accuracy. This sensitivity raises important questions about the consistency and reliability of the automated thresholding methods when applied across heterogeneous coastal environments. Given the variability in vegetation types, densities, and spectral reflectance characteristics, it remains uncertain whether a fixed or automatically derived threshold can consistently deliver optimal results. Exploring adaptive threshold tuning may therefore be necessary to better understand and potentially improve the performance of VE detection under diverse environmental conditions.</p>
<p>This study extended and validated the VedgeSat toolkit by assessing its scalability, reliability, and effectiveness for vegetation edge detection across diverse tropical coastal environments. Specifically, we (i) examined the toolkit performance in two contrasting coastal settings of Sumatra, Indonesia using manually adjusted NDVI thresholds, and (ii) compared automated and manually tuned NDVI thresholds to evaluate model sensitivity and consistency, as well as the optimum threshold across diverse vegetation types, sediments, and water turbidity. These analyses advance the application of scalable, satellite-based frameworks for coastal monitoring and provide insights into adapting nature-based approaches for assessing tropical coastal change under accelerating climate change.</p>
</sec>
<sec id="s2" sec-type="materials|methods">
<label>2</label>
<title>Materials and methods</title>
<sec id="s2_1">
<label>2.1</label>
<title>Study areas</title>
<p>Sumatra, the sixth-largest island in the world, covering an area of 473,481 km&#xb2; on the western side of Indonesia. The island shows strong east-west contrast in geomorphology and coastal dynamics. The eastern part is dominated by fluvial and alluvial deposition, delivering high sediment loads from rivers and supporting extensive peatlands and muddy coastal regions. In contrast, the western part is shaped by tectonic and volcanic activity associated with Barisan Mountains, an active volcanic range that extends along the island. This area is primarily characterized by rocky and sandy beaches and numerous coral islands. Due to these differing characteristics, two representative study areas were selected: Dumai on the eastern coast and Padang on the western coast (<xref ref-type="table" rid="T1"><bold>Table&#xa0;1</bold></xref>; <xref ref-type="fig" rid="f2"><bold>Figure&#xa0;2</bold></xref>).</p>
<table-wrap id="T1" position="float">
<label>Table&#xa0;1</label>
<caption>
<p>Summary of coastal characteristics of Dumai and Padang.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" align="center">Characteristics</th>
<th valign="middle" align="center">Dumai</th>
<th valign="middle" align="center">Padang</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="middle" align="left">Coastal type</td>
<td valign="middle" align="left">Semi-enclosed coast/sheltered</td>
<td valign="middle" align="left">Open coast</td>
</tr>
<tr>
<td valign="middle" align="left">Location</td>
<td valign="middle" align="left">Located on the eastern coast of Sumatra along the Malacca Strait</td>
<td valign="middle" align="left">Located on the western coast of Sumatra, facing the Indian Ocean</td>
</tr>
<tr>
<td valign="middle" align="left">Beach morphology</td>
<td valign="middle" align="left">Predominantly by muddy environments</td>
<td valign="middle" align="left">Sandy beach</td>
</tr>
<tr>
<td valign="middle" align="left">Vegetation type</td>
<td valign="middle" align="left">Mangroves, oil palm plantations, mixed vegetation</td>
<td valign="middle" align="left">Mixed vegetation and grasslands</td>
</tr>
<tr>
<td valign="middle" align="left">Wave energy</td>
<td valign="middle" align="left">Low wave energy</td>
<td valign="middle" align="left">Moderate to high wave energy</td>
</tr>
<tr>
<td valign="middle" align="left">Tidal ranges</td>
<td valign="middle" align="left">Mesotidal</td>
<td valign="middle" align="left">Macrotidal</td>
</tr>
<tr>
<td valign="middle" align="left">Urban activities</td>
<td valign="middle" align="left">Industrial port city</td>
<td valign="middle" align="left">Tourism and fishing activities</td>
</tr>
<tr>
<td valign="middle" align="left">Water turbidity</td>
<td valign="middle" align="left">Less turbid</td>
<td valign="middle" align="left">More turbid</td>
</tr>
</tbody>
</table>
</table-wrap>
<fig id="f2" position="float">
<label>Figure&#xa0;2</label>
<caption>
<p><bold>(A)</bold> Location map of the study areas. <bold>(B)</bold> Dumai coastal area, with yellow dashes lines representing the 125 km shoreline; <bold>(C)</bold> Padang and Padang Pariaman coastal areas, with red dashed lines representing the 110 km shoreline. Black line indicates the administrative boundaries (cities).</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-13-1757991-g002.tif">
<alt-text content-type="machine-generated">Panel A shows a regional map of Southeast Asia with country and major city names; black lines indicate zoomed locations for Panels B and C. Panel B is a satellite image of a coastal area with land boundaries outlined and a yellow dashed line marking the shoreline. Panel C is another satellite image of a coastal region with a red dashed line along the shoreline; both panels include a scale bar of ten kilometers.</alt-text>
</graphic></fig>
<p>Dumai is designated as a Pusat Kegiatan Strategis Nasional (Center for Strategic National Activities) (<xref ref-type="bibr" rid="B25">Media Center Kota Dumai, 2023</xref>) and functions as a major industrial port city supporting domestic and international shipping, as well as petroleum, timber, and cement industries. The coastal zone lies along the Malacca Strait and features a semi-enclosed shoreline of approximately 125 km partly protected by Rupat Island. It is dominated by muddy environments and low-gradient topography shaped by riverine inputs, tidal currents, and anthropogenic activities (<xref ref-type="bibr" rid="B35">Rifardi et&#xa0;al., 2015</xref>). The water commonly appears brown due to peat water that consists of high organic and humic matters (<xref ref-type="bibr" rid="B50">Water &amp; Wastewater Asia, 2023</xref>). Several studies have indicated that the coastal waters of Dumai exhibit varying turbidity values. <xref ref-type="bibr" rid="B28">Octalina et&#xa0;al. (2023)</xref> measured turbidity levels at seven observation sites, reporting values ranging from 5.93&#x2013;29.12 Nephelometric Turbidity Units (NTU), while <xref ref-type="bibr" rid="B40">Sari et&#xa0;al. (2023)</xref> analyzed three samples from Lubuk Gaung district and found turbidity values ranged from 47.4&#x2013;58.4 Formazin Turbidity Units (FTU). NTU and FTU represent comparable units for turbidity measurement, both referencing the scattering of light by suspended particles relative to a Formazin standard and are therefore broadly interchangeable.</p>
<p>In contrast, Padang is a coastal city that serves as the provincial capital and a major administrative and economic hub, with its economy supported by tourism and beach-related activities. Located on the western cost facing Indian Ocean, it has an 84 km shoreline strongly influenced by active tectonics near the boundary of the Eurasian and Indo-Australian plates. Coastal dynamics are dominated by high-energy waves and longshore currents (<xref ref-type="bibr" rid="B17">Haryani et&#xa0;al., 2018</xref>). Waters in Padang are generally clear and blue compared with Dumai. Turbidity levels below 4 NTU were recorded in Teluk Bungus in the southern part of Padang (<xref ref-type="bibr" rid="B42">Al Tanto and Kusumah, 2016</xref>), whereas higher values, averaging 73.39 NTU, were reported in the northern part, particularly in Padang Pariaman (<xref ref-type="bibr" rid="B18">Kamal et&#xa0;al., 2023</xref>). Because the urbanized nature of Padang has limited vegetation, the study area was extended northward into Padang Pariaman, which shares similar physical features but remains more agricultural, dominated by rice fields and plantations. Together, these regions encompass about 110 km of shoreline.</p>
<p>Both coasts have experienced substantial shoreline changes. In Dumai, the mangrove-dominated shoreline has been heavily modified by extensive land development and plantation development, with tidal currents exacerbating erosion (<xref ref-type="bibr" rid="B35">Rifardi et&#xa0;al., 2015</xref>). Landsat analyses from 1990&#x2013;2020 revealed erosion averaging &#x2013;2.04 m year<sup>&#x2013;1</sup> and accretion up to 1.17 m year<sup>&#x2013;1</sup> (<xref ref-type="bibr" rid="B27">Mulyadi et&#xa0;al., 2022</xref>). These trends are linked to peatland conversion to oil palm plantations, which alters the water table, reduce slope stability, and may lead to peat failure (<xref ref-type="bibr" rid="B41">Sutikno et&#xa0;al., 2017</xref>). Similarly, Padang has undergone extensive erosion with 77% its coastal areas have experienced erosion with a rate ranging from &#x2013;0.21 to &#x2013;49.4 m year<sup>&#x2013;1</sup>, while 12% of areas showed accretion of 3&#x2013;9 m year<sup>&#x2013;1</sup> (<xref ref-type="bibr" rid="B52">Wisha et&#xa0;al., 2022</xref>).</p>
<p>Despite these insights, notable limitations persist in recent studies of coastal changes monitoring in both sites. Previous studies have largely relied on manual interpretation of wet-dry boundaries from satellite imagery, a method that is highly sensitive to tidal conditions. The absence of tidal height data to validate shoreline position poses a significant challenge for robust coastal change monitoring. Additionally, the large spatial extent of these coastal areas makes repeated field surveys logistically challenging and expensive. These limitations underscore the urgent need for alternative methods to improve the accuracy and efficiency of coastal monitoring. The contrasting environmental characteristics of Dumai (sheltered, muddy, peat-influenced) and Padang (open, sandy, tectonically active) therefore provide an ideal testbed for validating the VedgeSat toolkit across diverse tropical environments.</p>
</sec>
<sec id="s2_2">
<label>2.2</label>
<title>Coastal type classification</title>
<p>Coastal classification was an essential first step to identify the various coastal types and their land cover that were used for VE extraction. The classification was based on environmental characteristics and vegetation or land cover types. To define the classification, the 1:50,000 scale Rupabumi Map (<xref ref-type="bibr" rid="B32">Badan Informasi Geospasial (BIG), 2019</xref>) for each site was used, provided by the National Geospatial Agency of Indonesia (Badan Informasi Geospasial). Due to scale limitations, additional supporting data were necessary for more detailed classification. To achieve this, we used the ESRI World Imagery basemap, sourced from Maxar technologies, which provided high-resolution satellite imagery across various acquisition dates. Although imagery dates varied by location, most scenes in our study area were captured between 2020-2024. This basemap was used to visually support the coastal classification process and was complemented by ground-truth surveys. The final classification of coastal types was determined based on the predominant vegetation cover and sediment (mud, sand, and gravel), derived from the Rupabumi map, visual interpretation of satellite imagery, and field expertise. This integrated approach ensured that the classification reflected the actual environmental conditions at each site.</p>
<p>Dumai was primarily characterized by muddy environments, while Padang had sandy environments. However, certain parts of Dumai&#x2019;s coastal area, such as in the Sungai Sembilan Sub-district, exhibited sandy environments, as confirmed through the ESRI basemap and ground-truth surveys. Heavily built-up urban environments were excluded from further analysis due to the lack of clearly distinguishable vegetation boundaries in these areas. The presence of artificial surfaces (roads, buildings) introduced spectral noise that complicated edge detection. Dumai was classified into three vegetation types: mangroves, mixed vegetation, and anthropogenic vegetated areas (such as oil palm plantations). Padang, on the other hand, was classified into mixed vegetation, grassland, and anthropogenic vegetated areas (such as managed vegetation).</p>
<p>The VedgeSat toolkit detected VEs by analyzing pixel-level NDVI values, which were influenced not only by vegetation but also by adjacent coastal waters. The spectral qualities of these waters affected the contrast between vegetated and non-vegetated areas, thereby influencing edge detection accuracy. In addition to classifying land cover, coastal waters were also categorized based on their visual appearance in satellite imagery. Despite turbidity measurements showing in Section 2.1, Dumai had relatively low turbidity values, it was still classified as having turbid water due to its consistently brown appearance in satellite imagery. In contrast, Padang&#x2019;s water appeared clear and blue, which aligned with a clear water classification. This appearance-based distinction reflects the spectral conditions relevant for remote sensing analyses and ensures the classification better supports the evaluation of VedgeSat performance under differing spectral environments. Detailed examples of these settings, including representative satellite and ground-level imagery, are provided in <xref ref-type="supplementary-material" rid="SM1"><bold>Supplementary Table S1</bold></xref>.</p>
</sec>
<sec id="s2_3">
<label>2.3</label>
<title>Datasets</title>
<p>The VedgeSat toolkit interfaces with the GEE API, providing access to a variety of satellite image datasets, including Top-of-Atmosphere reflectance images from Landsat 5, Landsat 7, Landsat 8, Sentinel-2, and Landsat 9 (<xref ref-type="bibr" rid="B26">Muir et&#xa0;al., 2024</xref>). For this study, Sentinel-2 imagery was employed to extract VE positions. It offers an advantageous combination of high spatial (10 m) and temporal resolution (5 days revisit time), along with multispectral coverage. Furthermore, previous studies have demonstrated that Sentinel-2 imagery provides high positional accuracy. <xref ref-type="bibr" rid="B5">Cabezas-Rabad&#xe1;n et&#xa0;al. (2019)</xref> reported an RMSE of 3.01 m, while <xref ref-type="bibr" rid="B26">Muir et&#xa0;al. (2024)</xref> reported of 9.3 m for vegetation edge accuracy.</p>
</sec>
<sec id="s2_4">
<label>2.4</label>
<title>VedgeSat workflow to extract vegetation edge position</title>
<p>VedgeSat is a toolkit built on the CoastSat infrastructure, designed to extract the vegetation edge information through four main steps: (i) identifying the user requirements; (ii) satellite image pre-processing; (iii) supervised satellite image segmentation and classification; (iv) thresholding and contouring (<xref ref-type="bibr" rid="B26">Muir et&#xa0;al., 2024</xref>). Here we summarize the workflow with specific reference to this study and refer readers back to <xref ref-type="bibr" rid="B26">Muir et&#xa0;al. (2024)</xref> for further detail (<xref ref-type="fig" rid="f3"><bold>Figure&#xa0;3</bold></xref>).</p>
<fig id="f3" position="float">
<label>Figure&#xa0;3</label>
<caption>
<p>The VedgeSat workflow for extracting vegetation edges (<xref ref-type="bibr" rid="B26">Muir et&#xa0;al., 2024</xref>).</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-13-1757991-g003.tif">
<alt-text content-type="machine-generated">Flowchart displays a remote sensing image classification workflow divided into sequential colored sections: user input and metadata retrieval in orange, preprocessing in green, vegetation edge extraction in purple, and classification and output in blue, with decision and process symbols connecting each step.</alt-text>
</graphic></fig>
<sec id="s2_4_1">
<label>2.4.1</label>
<title>Identifying the user requirements</title>
<p>The initial step requires users to input key information, including the satellite platform, date range, and area of interest. For this study, Sentinel-2 imagery was utilized to extract VE information. The date range studied was from 1 January 2024 to 1 July 2024, and locality samples were taken from each vegetation type within the study areas.</p>
</sec>
<sec id="s2_4_2">
<label>2.4.2</label>
<title>Satellite image pre-processing</title>
<p>The image pre-processing for this study involves four main steps: converting metadata from the GEE server to a local array, generating cloud masks, masking cloud-affected pixels, and, where applicable, performing pan-sharpening or down-sampling of images. In this process, each image will be separated by its spectral bands, including the Quality Assurance (QA) band, which provides critical cloud masking information. The QA band was used to identify and mask out pixels impacted by clouds, shadows, or other obstructions, ensuring clearer analysis. A threshold of 50% cloud cover was applied, meaning images with over 50% cloud cover are excluded from further analysis. Due to the high spatial resolution of Sentinel-2 images, no additional down-sampling was applied. However, to ensure consistency between bands, the 20 m NIR and SWIR bands were resampled to 10 m to match the spatial resolution of the 10 m RGB bands used for VEs extraction.</p>
</sec>
<sec id="s2_4_3">
<label>2.4.3</label>
<title>Supervised satellite image segmentation and classification of vegetation</title>
<p>Vegetation and non-vegetation areas were classified using a pretrained Artificial Neural Network (ANN) classifier. Default training samples were obtained from 10 km&#xb2; area across Dornoch and Aberdeen in the Scottish Highlands, where vegetation and non-vegetation regions were manually interpreted and digitized using images from Landsat 5 and 8, Sentinel-2, and PlanetScope (<xref ref-type="bibr" rid="B26">Muir et&#xa0;al., 2024</xref>). It is important to highlight that this study used this default classifier trained in an environment that is markedly different to that in which we seek to apply it. This is intentional, with the express aim of evaluating rapid VedgeSat applicability to new environmental settings.</p>
</sec>
<sec id="s2_4_4">
<label>2.4.4</label>
<title>Thresholding and contouring</title>
<p>The delineation between vegetation and non-vegetated areas was achieved through a hybrid approach that integrates an Artificial Neural Network (ANN) classifier with Weighted Peaks thresholding as shown in <xref ref-type="disp-formula" rid="eq1">Equation 1</xref> (<xref ref-type="bibr" rid="B26">Muir et&#xa0;al., 2024</xref>). For threshold selection, the toolkit employs the Weighted Peaks method, which is designed to minimize bias toward dominant classes by weighting the probability density functions of vegetation and non-vegetation pixel distributions. A standard weighting scheme of 0.2 for vegetation and 0.8 for non-vegetation was adopted based on prior validation work, where this combination consistently produced the lowest RMSE across various satellite platforms (<xref ref-type="bibr" rid="B26">Muir et&#xa0;al., 2024</xref>). This approach addresses limitations found in other thresholding techniques, such as Otsu&#x2019;s method, which tends to favor the majority class and may result in suboptimal thresholds under conditions of class imbalance or unequal variance (<xref ref-type="bibr" rid="B9">Doherty et&#xa0;al., 2022</xref>; <xref ref-type="bibr" rid="B26">Muir et&#xa0;al., 2024</xref>). In <xref ref-type="disp-formula" rid="eq1">Equation 1</xref>, <inline-formula>
<mml:math display="inline" id="im1"><mml:mrow><mml:msub><mml:mtext>I</mml:mtext><mml:mtext>o</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> represents the estimated NDVI threshold value. The terms <inline-formula>
<mml:math display="inline" id="im2"><mml:mrow><mml:msub><mml:mtext>&#x3b6;</mml:mtext><mml:mrow><mml:mtext>veg&#xa0;</mml:mtext><mml:mo stretchy="false">(</mml:mo><mml:mtext>I</mml:mtext><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula>
<mml:math display="inline" id="im3"><mml:mrow><mml:msub><mml:mtext>&#x3b6;</mml:mtext><mml:mrow><mml:mtext>nonveg</mml:mtext><mml:mo stretchy="false">(</mml:mo><mml:mtext>I</mml:mtext><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> denote the probability density functions of NDVI values for vegetated and non-vegetated pixels, respectively, derived from the pixel-level NDVI distribution within the analysis window. The weighting parameters <inline-formula>
<mml:math display="inline" id="im4"><mml:mrow><mml:msub><mml:mtext>&#x3c9;</mml:mtext><mml:mrow><mml:mtext>veg</mml:mtext></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula>
<mml:math display="inline" id="im5"><mml:mrow><mml:msub><mml:mtext>&#x3c9;</mml:mtext><mml:mrow><mml:mtext>nonveg</mml:mtext></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> correspond to relative weights assigned to vegetation (0.2) and non-vegetation (0.8), respectively, following the default configuration proposed by <xref ref-type="bibr" rid="B26">Muir et&#xa0;al. (2024)</xref>.</p>
<disp-formula id="eq1"><label>(1)</label>
<mml:math display="block" id="M1"><mml:mrow><mml:msub><mml:mtext>I</mml:mtext><mml:mtext>o</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mrow><mml:mtext>&#xa0;&#x3c9;</mml:mtext></mml:mrow><mml:mrow><mml:mtext>veg</mml:mtext></mml:mrow></mml:msub><mml:msub><mml:mtext>&#x3b6;</mml:mtext><mml:mrow><mml:mtext>veg&#xa0;</mml:mtext><mml:mo stretchy="false">(</mml:mo><mml:mtext>I</mml:mtext><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mrow><mml:mtext>&#xa0;&#x3c9;</mml:mtext></mml:mrow><mml:mrow><mml:mtext>nonveg</mml:mtext></mml:mrow></mml:msub><mml:msub><mml:mtext>&#x3b6;</mml:mtext><mml:mrow><mml:mtext>nonveg</mml:mtext><mml:mo stretchy="false">(</mml:mo><mml:mtext>I</mml:mtext><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:msub></mml:mrow></mml:math>
</disp-formula>
<p>Threshold selection plays a critical role in determining the position of VE, directly influencing the accuracy of detection. VedgeSat allows users to apply either automatically estimated thresholds or manually adjusted ones. In the initial validation stage, manual thresholding was performed by visually aligning the NDVI boundary between the vegetated and non-vegetated areas using Sentinel-2. This visual approach served as an exploratory baseline to assess VedgeSat&#x2019;s initial performance and understand how vegetation types and environmental conditions influenced edge placement. Building on this baseline, a structured threshold tuning procedure was implemented to evaluate the sensitivity of VE extraction to NDVI thresholds. Threshold values were systematically varied around the automated estimates, ranging from -0.05 to 0.30 in increments of 0.025. The resulting VE were then validated against reference lines to identify the thresholds that produced the most accurate outputs. This process enabled a quantitative comparison between automated and tuned thresholds, offering insight into whether fine-tuning improved detection across different coastal settings.</p>
</sec>
</sec>
<sec id="s2_5">
<label>2.5</label>
<title>Validation sites</title>
<p>Referring to 2.1, each study site was classified based on its vegetation types and environmental conditions, providing a comprehensive framework for determining sample numbers and locations. This classification considered as key factors such as vegetation type, muddy or sandy environments, and water turbidity, ensuring that the selected samples represented the diverse environmental context of Dumai and Padang. A total of 15 samples were analyzed for this study, with eight samples from Dumai and seven samples from Padang (<xref ref-type="fig" rid="f4"><bold>Figure&#xa0;4</bold></xref>).</p>
<fig id="f4" position="float">
<label>Figure&#xa0;4</label>
<caption>
<p>Distribution of validation samples. <bold>(A)</bold> The validation samples in Padang (7 samples); <bold>(B)</bold> The validation samples in Dumai (8 samples). Points represent approximate sample locations and do not reflect full spatial extent.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-13-1757991-g004.tif">
<alt-text content-type="machine-generated">Panel A shows a coastal satellite map with colored points representing validation samples for different vegetation and substrate types, as indicated by the legend. Panel B displays a riverine satellite map with colored dots marking validation samples for various mangrove, mixed vegetation, and plantation types on muddy or sandy substrates, with a corresponding legend. Both maps include scale bars and north arrows for orientation.</alt-text>
</graphic></fig>
</sec>
<sec id="s2_6">
<label>2.6</label>
<title>Vegetation edge survey</title>
<p>All the validation lines in Dumai were obtained through manual digitation of PlanetScope images. To ensure the accuracy of these images, orthorectification was performed using ArcGIS with ESRI Basemap as a reference. In contrast, the ground-truth survey in Padang were collected through a ground-truth survey, where vegetation edge was tracked using an GPS EOS Arrow 100 Sub-meter GNSS receiver connected to ArcGIS FieldMaps. This setup ensured high positional accuracy by receiving signals from multiple global navigation satellite systems (GLONASS, Galileo, and BeiDou). The EOS Arrow 100 is known for submeter accuracy, achieving a positional accuracy of approximately 20 cm, as demonstrated by (<xref ref-type="bibr" rid="B26">Muir et&#xa0;al., 2024</xref>), and even 15 cm, as reported in Dynamic Coast project (<xref ref-type="bibr" rid="B34">Rennie et&#xa0;al., 2021</xref>). These precision levels make it a reliable tool for validating vegetation edge positions in diverse environments. The validation process in these environments uses dense vegetation to define the edge. Additionally, this study seeks to refine the detection of sparse vegetation within transition zones, addressing the challenges associated with mapping these areas.</p>
<p>The difference in validation approaches between Dumai and Padang was due to field conditions. In Dumai, ground-truth surveys were not feasible due to the hazardous environmental conditions, characterized by uncertain mud depths, unstable ground, and dangerous fauna. As a result, manual digitization from higher-resolution (3 m) PlanetScope imagery was used as an alternative. Although PlanetScope-based digitization involves visual interpretation, it was applied systematically as part of an RMSE-based validation process. To reduce potential spatial uncertainty, the closest available PlanetScope imagery was prioritized to reduce the date gap between Validation Lines (VLs) and extracted VEs. However, image availability and cloud cover sometimes restricted the ability to obtain an exact temporal match, potentially introducing minor positional discrepancies. Despite these limitations, both validation methods provide meaningful assessments of VedgeSat&#x2019;s performance across different environments, ensuring that vegetation edge detection is evaluated in both field-accessible and less accessible coastal settings.</p>
</sec>
<sec id="s2_7">
<label>2.7</label>
<title>VedgeSat validation</title>
<p>To validate the results of VedgeSat, the positions of extracted vegetation edges were compared to the validation lines along shore-normal transects spaced at the default interval of 10 m (<xref ref-type="bibr" rid="B26">Muir et&#xa0;al., 2024</xref>). VedgeSat toolkit offers the validation function to quantify the error or biases between the extracted Vegetation Edges (VE) and Validation Line (VL). This function provides key statistical metrics, including Root Mean Square Error (RMSE) and Mean Absolute Error (MAE). The RMSE value (<xref ref-type="disp-formula" rid="eq2">Equation 2</xref>) and MAE (<xref ref-type="disp-formula" rid="eq3">Equation 3</xref>) are widely used statistical metric for evaluating model performance (<xref ref-type="bibr" rid="B6">Chai and Draxler, 2014</xref>). VedgeSat utilized both metrics to assess error margins for each weighting combination and satellite image platform, based on cross-shore distances. In these equations, <italic>X</italic> and <italic>x</italic> in the equations refer to the cross-shore positions of validation line and the extracted vegetation edges, respectively. This study focuses on the RMSE value as the primary validation parameter. RMSE reflects the variability in model performance by penalizing larger errors through squaring, making it sensitive to variations in errors (<xref ref-type="bibr" rid="B6">Chai and Draxler, 2014</xref>). This sensitivity is particularly suitable for datasets in vegetation edge detection, where capturing variabilities in positional accuracy is crucial.</p>
<disp-formula id="eq2"><label>(2)</label>
<mml:math display="block" id="M2"><mml:mrow><mml:mtext>RMSE</mml:mtext><mml:mo>=</mml:mo><mml:mrow><mml:msqrt><mml:mrow><mml:mstyle displaystyle="true"><mml:munderover><mml:mo>&#x2211;</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn>1</mml:mn></mml:mrow><mml:mi>n</mml:mi></mml:munderover><mml:mrow><mml:mfrac><mml:mrow><mml:msup><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mtext>Xi</mml:mtext><mml:mo>&#x2212;</mml:mo><mml:mtext>xi</mml:mtext><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mn>2</mml:mn></mml:msup></mml:mrow><mml:mtext>n</mml:mtext></mml:mfrac></mml:mrow></mml:mstyle></mml:mrow></mml:msqrt></mml:mrow></mml:mrow></mml:math>
</disp-formula>
<disp-formula id="eq3"><label>(3)</label>
<mml:math display="block" id="M3"><mml:mrow><mml:mtext>MAE</mml:mtext><mml:mo>=</mml:mo><mml:mfrac><mml:mn>1</mml:mn><mml:mtext>n</mml:mtext></mml:mfrac><mml:munderover><mml:mo>&#x2211;</mml:mo><mml:mrow><mml:mtext>i</mml:mtext><mml:mo>=</mml:mo><mml:mn>1</mml:mn></mml:mrow><mml:mtext>n</mml:mtext></mml:munderover><mml:mo>|</mml:mo><mml:mtext>Xi</mml:mtext><mml:mo>&#x2212;</mml:mo><mml:mtext>xi</mml:mtext><mml:mo>|</mml:mo></mml:mrow></mml:math>
</disp-formula>
<p>In addition to RMSE and MAE value, the VedgeSat toolkit also provides statistical measures including MPE and the Coefficient of Determination (R<sup>2</sup>). The median positional error (<xref ref-type="disp-formula" rid="eq4">Equation 4</xref>) was a statistical measure that represents by the median of all positional errors of extracted vegetation edge and validation lines used as references. This measure was useful for identifying systematic positional bias, as it indicated whether the extracted edges consistently deviated landward (negative values) or seaward (positive values) from the reference line. Meanwhile, the Coefficient of Determination (R<sup>2</sup>) shown in <xref ref-type="disp-formula" rid="eq5">Equation 5</xref> was used to evaluate the performances of VedgeSat by assessing the alignment between the extracted vegetation edge compared to the validation line.</p>
<disp-formula id="eq4"><label>(4)</label>
<mml:math display="block" id="M4"><mml:mrow><mml:mtext>Median&#xa0;Positional&#xa0;Error</mml:mtext><mml:mo>=</mml:mo><mml:mo>{</mml:mo><mml:mtable equalrows="true" equalcolumns="true"><mml:mtr><mml:mtd><mml:mrow><mml:msub><mml:mtext>e</mml:mtext><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mtext>n</mml:mtext><mml:mo>+</mml:mo><mml:mn>1</mml:mn><mml:mo stretchy="false">)</mml:mo><mml:mo stretchy="false">/</mml:mo><mml:mn>2</mml:mn><mml:mtext>&#xa0;&#xa0;&#xa0;&#xa0;&#xa0;&#xa0;&#xa0;&#xa0;&#xa0;&#xa0;&#xa0;&#xa0;&#xa0;&#xa0;&#xa0;&#xa0;&#xa0;&#xa0;&#xa0;&#xa0;&#xa0;&#xa0;&#xa0;&#xa0;</mml:mtext></mml:mrow></mml:msub><mml:mtext>if</mml:mtext><mml:mo>&#xa0;</mml:mo><mml:mtext>n&#xa0;odd</mml:mtext></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mrow><mml:mfrac><mml:mrow><mml:msub><mml:mtext>e</mml:mtext><mml:mrow><mml:mtext>n</mml:mtext><mml:mo stretchy="false">/</mml:mo><mml:mn>2</mml:mn></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mtext>e</mml:mtext><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mtext>n</mml:mtext><mml:mo stretchy="false">/</mml:mo><mml:mn>2</mml:mn><mml:mo stretchy="false">)</mml:mo><mml:mo>+</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:msub></mml:mrow><mml:mn>2</mml:mn></mml:mfrac><mml:mo>,</mml:mo><mml:mo>&#xa0;</mml:mo><mml:mo>&#xa0;</mml:mo><mml:mo>&#xa0;</mml:mo><mml:mo>&#xa0;</mml:mo><mml:mo>&#xa0;</mml:mo><mml:mtext>if</mml:mtext><mml:mo>&#xa0;</mml:mo><mml:mtext>n&#xa0;even</mml:mtext></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:mrow></mml:math>
</disp-formula>
<disp-formula id="eq5"><label>(5)</label>
<mml:math display="block" id="M5"><mml:mrow><mml:msup><mml:mtext>R</mml:mtext><mml:mn>2</mml:mn></mml:msup><mml:mo>=</mml:mo><mml:mn>1</mml:mn><mml:mo>&#x2212;</mml:mo><mml:mfrac><mml:mrow><mml:msubsup><mml:mo>&#x2211;</mml:mo><mml:mrow><mml:mtext>i</mml:mtext><mml:mo>=</mml:mo><mml:mn>1</mml:mn></mml:mrow><mml:mtext>n</mml:mtext></mml:msubsup><mml:msup><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:msubsup><mml:mtext>y</mml:mtext><mml:mtext>i</mml:mtext><mml:mrow><mml:mtext>reference</mml:mtext></mml:mrow></mml:msubsup><mml:mo>&#x2212;</mml:mo><mml:msubsup><mml:mtext>y</mml:mtext><mml:mtext>i</mml:mtext><mml:mrow><mml:mtext>detected</mml:mtext></mml:mrow></mml:msubsup><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mn>2</mml:mn></mml:msup></mml:mrow><mml:mrow><mml:msubsup><mml:mo>&#x2211;</mml:mo><mml:mrow><mml:mtext>i</mml:mtext><mml:mo>=</mml:mo><mml:mn>1</mml:mn></mml:mrow><mml:mtext>n</mml:mtext></mml:msubsup><mml:msup><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:msubsup><mml:mtext>y</mml:mtext><mml:mtext>i</mml:mtext><mml:mrow><mml:mtext>reference</mml:mtext></mml:mrow></mml:msubsup><mml:mo>&#x2212;</mml:mo><mml:mover accent="true"><mml:mrow><mml:msup><mml:mtext>y</mml:mtext><mml:mrow><mml:mtext>reference</mml:mtext></mml:mrow></mml:msup></mml:mrow><mml:mo stretchy="true">&#xaf;</mml:mo></mml:mover><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mn>2</mml:mn></mml:msup></mml:mrow></mml:mfrac></mml:mrow></mml:math>
</disp-formula>
<p>In <xref ref-type="disp-formula" rid="eq2">Equations 2</xref>&#x2013;<xref ref-type="disp-formula" rid="eq5">5</xref>, n denotes the number of cross-shore transects used for validation. <inline-formula>
<mml:math display="inline" id="im6"><mml:mrow><mml:mtext>Xi</mml:mtext></mml:mrow></mml:math></inline-formula> and <inline-formula>
<mml:math display="inline" id="im7"><mml:mrow><mml:mtext>xi</mml:mtext></mml:mrow></mml:math></inline-formula> represent the cross-shore positions (in meters) of the xtracted vegetation edge (VE) and corresponding validation line (VL) at transect I, with positive values indicating seaward bias and negative values indicating landward bias. In <xref ref-type="disp-formula" rid="eq5">Equation 5</xref>, <inline-formula>
<mml:math display="inline" id="im8"><mml:mrow><mml:msubsup><mml:mtext>y</mml:mtext><mml:mtext>i</mml:mtext><mml:mrow><mml:mtext>reference</mml:mtext></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> and <inline-formula>
<mml:math display="inline" id="im9"><mml:mrow><mml:msubsup><mml:mtext>y</mml:mtext><mml:mtext>i</mml:mtext><mml:mrow><mml:mtext>detected</mml:mtext></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> refer to cross-shore positions of validation line and the extracted vegetation edge, respectively. All positional metrics are expressed in meters.</p>
</sec>
</sec>
<sec id="s3" sec-type="results">
<label>3</label>
<title>Results</title>
<sec id="s3_1">
<label>3.1</label>
<title>Validation of VedgeSat across vegetation types and coastal settings</title>
<p><xref ref-type="fig" rid="f5"><bold>Figure&#xa0;5</bold></xref> summarizes VedgeSat performance across 15 validation samples representing a variety of coastal environments in Dumai and Padang. Although the VEs are generally considered more stable indicators for coastal change than dynamic wet-dry indicators, the time difference (date gap) between VLs and extracted VEs may still influence positional accuracy and model performance. In this study, the average date gap was 8&#x2013;9 days, with the longest gap observed for sample S6-Mixed vegetation muddy of Dumai, with a 17-day difference. Meanwhile, the smallest date gap of one day was noted for sample S1-Mangroves-muddy in Dumai, as well as for sample S12-Grass sandy and sample S14-Managed vegetation sandy in Padang.</p>
<fig id="f5" position="float">
<label>Figure&#xa0;5</label>
<caption>
<p>Validation of vegetation edge detection using VedgeSat across 15 samples in Dumai and Padang. Median Positional Error (MPE) indicates seaward (positive) or landward (negative) shifts relative to the validation line. RMSE values are shown next to sample names; R&#xb2; and MPE values are labelled near each point. Colour in this plot reflect environmental groupings and may not correspond to the point colors in <xref ref-type="fig" rid="f3"><bold>Figure&#xa0;3</bold></xref>.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-13-1757991-g005.tif">
<alt-text content-type="machine-generated">Scatterplot showing validation results of vegetation edge detection using VedgeSat in tropical coastal environments, comparing median positional error (x-axis, meters) against various site types (y-axis) with RMSE values. Dense and sparse vegetation are distinguished by diamond and square markers in green, blue, and gray. R-squared and median positional error statistics are annotated for each point. Legend indicates green and blue represent dense and sparse vegetation, respectively.</alt-text>
</graphic></fig>
<p>Across all samples, RMSE ranged from 2.96 to 53.08 m and R<sup>2</sup> values varied from 0.01 to 0.89, indicating differences in performance depending on vegetation type and sediment. In general, VedgeSat showed strong performance in dense vegetation settings with RMSE values consistently below 7 m. For example, S2-Mangroves muddy and S6-Mixed vegetation muddy in Dumai achieved R<sup>2</sup> values of 0.89 and 0.86, respectively, with RMSE values below 6 m. The lowest RMSE of 2.96 m was recorded in sample S3-Mangroves muddy in Dumai. Conversely, accuracy was lower in sparse vegetation areas, especially in sandy environments. S12-Grass sandy exhibited the highest RMSE (53.08 m) and the lowest R<sup>2</sup> (0.12), while both S4-Mangroves sandy and S5-Mangroves sandy in Dumai returned poor R<sup>2</sup> values (0.08 and 0.01) and high RMSE values of 29.22 and 36.94, respectively.</p>
<p>MPE, which reflects the typical direction and magnitude of offset between extracted VEs and VLs, ranged from &#x2013;38.3 to +6.4 m. Negative values indicate that the VE was placed more landward than the corresponding VL, while positive values reflect a seaward offset. Most samples in Dumai showed negative MPEs, consistent with muddy environments except for S3-Mangroves Muddy, which had a slightly positive offset of 0.2 m. In Padang, most samples exhibited positive MPE values, with the exception of S12-Grass sandy which had a substantial landward error with MPE = &#x2013;38.3 m. Overall, dense vegetation on muddy sediments showed the highest accuracy, while sparse sandy environments exhibited the largest errors. The following section provides a more detailed breakdown of performance by vegetation type and environmental conditions.</p>
<sec id="s3_1_1">
<label>3.1.1</label>
<title>The validation of VedgeSat in mangroves muddy environments</title>
<p>The validation of VedgeSat in mangroves-muddy environments was performed using three samples along the Dumai coastline, comparing the extracted VE and VL. The temporal offset between VEs and VLs was minimal, with a maximum of four days, ensuring reliable comparison. VedgeSat showed consistently strong performance across all samples. In S2-Mangroves muddy and S3-Mangroves muddy (<xref ref-type="fig" rid="f6"><bold>Figure&#xa0;6</bold></xref>), the VE closely tracked the VL, yielding high accuracy with R<sup>2</sup> values of 0.89 and 0.84 and RMSE values of 5.24 m and 2.96 m, respectively. Sample 1 exhibited slightly lower performance (R<sup>2</sup> = 0.64, RMSE = 6.98 m), yet the extracted VE still followed the overall trajectory of VL. The spatial overlap between VEs and VLs was visually evident, with minimal positional deviation. MPE values for all three samples showed small errors, ranging from &#x2013;4.2 m to +0.2 m, further confirming the accuracy. Furthermore, Panel (c) in <xref ref-type="fig" rid="f6"><bold>Figure&#xa0;6</bold></xref> displays the NDVI values, highlighting a clear gradient between vegetated and non-vegetated areas, with dense canopy cover producing high NDVI values (&gt; 0.3), reinforcing the effectiveness of threshold-based edge detection. This environment consistently showed the highest accuracy, with low RMSE, high R<sup>2</sup>, and minimal positional bias.</p>
<fig id="f6" position="float">
<label>Figure&#xa0;6</label>
<caption>
<p>Extracted vegetation edge (blue line) with the validation line (red dashed line) for S3-Mangroves muddy. <bold>(A)</bold>. PlanetScope image acquired on 2024-03-27, showing the full extent of both lines; <bold>(B)</bold> Zoomed-in Sentinel-2 subset from 2024-03-23; <bold>(C)</bold> NDVI values derived from Sentinel-2. Both zoomed panels <bold>(B, C)</bold> correspond to the area indicated by the black box in <bold>(A)</bold>.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-13-1757991-g006.tif">
<alt-text content-type="machine-generated">Panel A displays an aerial image with a blue extracted vegetation edge line dated March 23, 2024, and a red dashed validation line dated March 27, 2024, along a landscape boundary, with a black rectangle indicating a subset area. Panel B zooms in on the subset area using a pixelated satellite basemap, showing both lines following a vegetation boundary. Panel C shows the same subset area with a color NDVI map ranging from green (high vegetation, NDVI 0.390) to orange (low vegetation, NDVI 0.007), alongside both lines marking the vegetation edge. North arrows and scale bars are present in each panel.</alt-text>
</graphic></fig>
</sec>
<sec id="s3_1_2">
<label>3.1.2</label>
<title>The validation of VedgeSat in mangroves sandy environments</title>
<p>Dumai supports a thriving mangrove ecosystem along its coast, particularly around river mouths (<xref ref-type="bibr" rid="B11">Efriyeldi et&#xa0;al., 2023</xref>). While most mangroves in the area occupy muddy sediments, patches of mangroves are also found along sandy shorelines, especially in the Sungai Sembilan sub-district. These environments present unique challenges for automated detection due to the presence of sparse vegetation. As shown in <xref ref-type="fig" rid="f7"><bold>Figure&#xa0;7</bold></xref> for S5-Mangroves sandy, the limited mangrove cover produced a weak NDVI signal near the vegetation edge, often falling below the NDVI threshold used for classification, and introducing significant uncertainty. In this sample, a large gap was observed between extracted VE and VL, with RMSE = 36.94, R<sup>2</sup> = 0.01, and MPE = &#x2013;34.3 m. Similarly, S4-Mangroves sandy also showed poor performance, with RMSE = 29.22 m, R<sup>2</sup> = 0.08, and MPE = &#x2013;28.5 m. Furthermore, panel (c) in <xref ref-type="fig" rid="f7"><bold>Figure&#xa0;7</bold></xref> shows that only pixels located well inside the vegetation zone reached NDVI values typical of dense vegetation (&gt; 0.4), while those near the edge remained within a transitional range. Overall, mangroves on sandy sediments showed poor accuracy, characterized by large positional bias.</p>
<fig id="f7" position="float">
<label>Figure&#xa0;7</label>
<caption>
<p>Extracted vegetation edge (blue line) with the validation line (red dashed line) for S5-Mangroves sandy. <bold>(A)</bold>. PlanetScope image acquired on 2024-06-05, showing the full extent of both lines; <bold>(B)</bold> Zoomed-in Sentinel-2 subset from 2024-06-11; <bold>(C)</bold> NDVI values derived from Sentinel-2. Both zoomed panels <bold>(B, C)</bold> correspond to the area indicated by the white box in <bold>(A)</bold>. <bold>(D&#x2013;F)</bold> present field photos taken from the site on 2024-04&#x2013;30 at the location marked <bold>(A)</bold>, confirming the presence of sparse and pioneer mangroves cover across the sandy shoreline.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-13-1757991-g007.tif">
<alt-text content-type="machine-generated">Panel (A) shows a satellite image with a red dashed validation line, a blue extracted vegetation edge, and a marked field photo location. Panel (B) displays a pixelated map with vegetation boundary lines. Panel (C) is an NDVI color gradient map ranging from green to orange, labeled with NDVI values. Panels (D) and (E) are ground-level photos of mangrove vegetation along a sandy shoreline under a cloudy sky, while panel (F) presents an aerial view of the mangrove edge and shoreline with visible vegetation contrast.</alt-text>
</graphic></fig>
</sec>
<sec id="s3_1_3">
<label>3.1.3</label>
<title>The validation of VedgeSat in grass sandy environments</title>
<p>Significant uncertainty in VE detection was observed in grass-dominated areas on sandy sediments. These environments were characterized by sparse and patchy vegetation, particularly toward the seaward edge, which posed challenges for accurate mapping. As shown in <xref ref-type="fig" rid="f8"><bold>Figure&#xa0;8</bold></xref>, the VL derived from a ground-truth survey on 2024-05-16 (red dashed line) traced grass cover extending toward the vegetation boundary, whereas the extracted VE was consistently positioned more landward, closer to the denser vegetation zone. This discrepancy was attributed to the limited spatial extent and density, which produced low NDVI values that fell below the threshold. The validation metrics confirmed substantial uncertainty in this sample, with an RMSE of 53.08 m, a low R<sup>2</sup> of 0.12, and a landward shift (MPE of &#x2013;38.3 m). Challenges in this environment arose from the patchy nature of the vegetation type, which complicated consistent edge detection. Panels d, e, and f in <xref ref-type="fig" rid="f8"><bold>Figure&#xa0;8</bold></xref> showed field photos from this site, confirming the presence of sparse grass cover along the sandy shore, even though it was not readily distinguishable in satellite imagery or NDVI values.</p>
<fig id="f8" position="float">
<label>Figure&#xa0;8</label>
<caption>
<p>Extracted vegetation edge (blue line) with the validation line (red dashed line) for S12 Grass-sandy. <bold>(A)</bold> ESRI Basemap image acquired on 2024-01-21, showing the full extent of both lines; <bold>(B)</bold> Zoomed-in Sentinel-2 subset from 2024-05-16; <bold>(C)</bold> NDVI values derived from Sentinel-2. Both zoomed panels <bold>(B, C)</bold> correspond to the area indicated by the black box in <bold>(A)</bold>. <bold>(D&#x2013;F)</bold> present field photos taken from the site on 2024-05&#x2013;17 at the location marked in <bold>(A)</bold>, confirming the presence of sparse and patchy grass cover across the sandy shoreline.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-13-1757991-g008.tif">
<alt-text content-type="machine-generated">Panel A shows a satellite image of a coastal area with vegetation, a validation line marked in red, an extracted vegetation edge in blue, and a field photo location indicated by a dark red hexagon. Panel B displays a pixelated aerial view highlighting the same red and blue lines. Panel C presents a color-coded NDVI map legend ranging from green to red, showing vegetation indices along with the red and blue lines. Panels D, E, and F are ground photos of the shoreline displaying sandy areas with sparse vegetation, driftwood, and cloudy skies.</alt-text>
</graphic></fig>
</sec>
<sec id="s3_1_4">
<label>3.1.4</label>
<title>The validation of VedgeSat in grass gravel environments</title>
<p>S13-Grass gravel, located in a former industrial site in Padang, showed strong performance with an RMSE of 3.54 m and an R<sup>2</sup> of 0.83, and MPE = +2.9 m (seaward bias). Despite a date gap of 12 days between VL and extracted VE, the result indicated close agreement between VL and VE, even in a non-natural environment. As shown in <xref ref-type="fig" rid="f9"><bold>Figure&#xa0;9</bold></xref>, both lines track the vegetation boundary closely along the shoreline. Panel (c) confirms a sharp NDVI contrast between vegetated and non-vegetated areas, with NDVI values exceeding 0.3 within the vegetation zone and dropping sharply beyond the edge. This clearer spectral distinction likely contributed to reliable edge detection in gravel-based settings.</p>
<fig id="f9" position="float">
<label>Figure&#xa0;9</label>
<caption>
<p>Extracted vegetation edge (blue line) with the validation line (red dashed line) for S13-Grass gravel. <bold>(A)</bold> ESRI Basemap image acquired on 2024-01-21, showing the full extent of both lines; <bold>(B)</bold> Zoomed-in Sentinel-2 subset from 2024-05-27; <bold>(C)</bold> NDVI values derived from Sentinel-2. Both zoomed <bold>(B, C)</bold> correspond to the area indicated by the black box in <bold>(A)</bold>.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-13-1757991-g009.tif">
<alt-text content-type="machine-generated">Three-panel scientific figure showing a river island with vegetation edges. Panel A presents a satellite image with a dashed red validation line from May fifteen, two thousand twenty-four, and a blue extracted vegetation edge from May twenty-seven, two thousand twenty-four. Panel B shows a zoomed satellite subset with the same lines overlaying the vegetation boundary. Panel C displays an NDVI map where green shades represent high NDVI and red indicates low NDVI, NDVI legend ranges from negative point one four two to zero point five seven six. All panels include north arrows and scale bars in meters.</alt-text>
</graphic></fig>
</sec>
<sec id="s3_1_5">
<label>3.1.5</label>
<title>The validation of VedgeSat in mixed vegetation muddy environments</title>
<p>Mixed vegetation refers to areas where various types of vegetation coexist, often encompassing species with diverse structures and growth forms, including trees and grasses. Two samples representing this environment were analyzed in muddy coastal areas of Dumai. Despite the temporal mismatch of 17 and 15 days between extracted VEs and VLs, both yielded relatively strong results. S7-Mixed vegetation muddy demonstrated higher spatial accuracy and performance, with an RMSE of 3.91 m, R<sup>2</sup> of 0.73, and MPE of &#x2013;&#x2060;1.7 m. S6-Mixed vegetation muddy showed even stronger model performance, with a higher R<sup>2</sup> of 0.86, although slightly lower positional accuracy with RMSE = 5.89 m, and MPE = &#x2013;2.2 m. This indicates that a higher R<sup>2</sup> does not always correspond directly to greater spatial accuracy. <xref ref-type="fig" rid="f10"><bold>Figure&#xa0;10</bold></xref> illustrates the close alignment between extracted VE and VL in S7 Mixed Vegetation-muddy with both lines following the edge closely. Panel (c) reveals a well-defined NDVI gradient separating vegetated and non-vegetated areas, supporting effective threshold-based edge extraction in this setting, even with a longer date gap between VE and VL.</p>
<fig id="f10" position="float">
<label>Figure&#xa0;10</label>
<caption>
<p>Extracted vegetation edge (blue line) with the validation line (red dashed line) for S7-Mixed vegetation muddy. <bold>(A)</bold> PlanetScope image acquired on 2024-04-22, showing the full extent of both lines; <bold>(B)</bold> Zoomed-in Sentinel-2 subset from 2024-04-07; <bold>(C)</bold> NDVI values derived from Sentinel-2. Both zoomed <bold>(B, C)</bold> correspond to the area indicated by the white box in <bold>(A)</bold>.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-13-1757991-g010.tif">
<alt-text content-type="machine-generated">Satellite imagery data visualization with three panels. Panel A shows a broad satellite image with overlaid validation line in dashed red and extracted vegetation edge in solid blue. Panel B provides a close-up view of a section marked in Panel A, showing similar line overlays. Panel C displays the same close-up region as a color-coded NDVI map ranging from green to orange, representing vegetation health on 2024-04-07, with lines indicating extracted and validation boundaries. Scale bars and north arrows are present in each panel for spatial context.</alt-text>
</graphic></fig>
</sec>
<sec id="s3_1_6">
<label>3.1.6</label>
<title>The validation of VedgeSat in mixed vegetation sandy environments</title>
<p>Moderate to strong performance was observed in the mixed vegetation samples located in sandy environments along the coast of Padang. These areas featured a mixture of vegetation types growing on exposed sandy sediments, which introduced challenges for VE detection due to spectral mixing and transitional NDVI values near the boundary. As illustrated in <xref ref-type="fig" rid="f11"><bold>Figure&#xa0;11</bold></xref>, S11-Mixed vegetation sandy demonstrated the best overall performance among the three samples in this environment, with R<sup>2</sup> of 0.79, an RMSE of 5.43 m, and an MPE of +3.7 m. The other two samples showed slightly lower performance and accuracy, with R<sup>2</sup> values of 0.56 and 0.58, RMSE values of 5.83 m and 6.97 m and MPE values of +5.6 m and +6.4 m, respectively. Furthermore, in panel (c) of <xref ref-type="fig" rid="f11"><bold>Figure&#xa0;11</bold></xref> highlights transitional NDVI values near the vegetation boundary (shown in yellow), reflects a transition zone from bare sand to vegetated cover, where pixel values do not clearly represent either class. This contributes to uncertain or inconsistent edge placement, as the vegetation boundary appears diffuse in the imagery.</p>
<fig id="f11" position="float">
<label>Figure&#xa0;11</label>
<caption>
<p>Extracted vegetation edge (blue line) with the validation line (red dashed line) for S11-Mixed vegetation sandy. <bold>(A)</bold> ESRI Basemap image acquired on 2024-01-21, showing the full extent of both lines; <bold>(B)</bold> Zoomed-in Sentinel-2 subset from 2024-04-07; <bold>(C)</bold> NDVI values derived from Sentinel-2. Both zoomed <bold>(B, C)</bold> correspond to the area indicated by the black box in <bold>(A)</bold>.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-13-1757991-g011.tif">
<alt-text content-type="machine-generated">Panel A shows a satellite image of a coastline with a forested area on the right and water on the left, overlaid with a red dashed validation line and a blue extracted vegetation edge. Panel B zooms in on a section of the coastline, displaying a pixelated view with both lines visible. Panel C presents an NDVI heatmap with red, orange, and green colors representing varying vegetation density, again showing both lines. Each panel includes a north arrow and scale bar.</alt-text>
</graphic></fig>
</sec>
<sec id="s3_1_7">
<label>3.1.7</label>
<title>The validation of VedgeSat in managed vegetation sandy environments</title>
<p>Managed vegetation in sandy environments is commonly found in several coastal areas of Padang and Padang Pariaman, particularly in tourist destinations. These areas are characterized by intentionally planted trees arranged in neat patterns to support tourism activities. Typically, the vegetation is uniform vegetation in type and canopy structure, growing over sandy sediments, which provides a relatively consistent spectral signal conducive to automated detection. Two samples from this environment were assessed using ground-truth data collected on 2024-05&#x2013;15 and 2024-05-16. Sample S14-Managed vegetation sandy as illustrated in <xref ref-type="fig" rid="f12"><bold>Figure&#xa0;12</bold></xref>, showed strong performance, with an RMSE of 3.21 m, R<sup>2</sup> of 0.76, and MPE of +1.5 m. The extracted VE and VL closely aligned along most of the transect, indicating reliable edge detection. Moreover, the NDVI in this sample (panel-c) exhibited a clear NDVI gradient with a sharp transition from bare to vegetated zones. S15-Managed vegetation sandy yielded slightly lower accuracy and performance, with an RMSE of 5.3 m and R<sup>2</sup> of 0.69 but returned to a marginally better MPE of +0.6. These results suggest that the structured layout and consistent canopy of managed vegetation strengthen the accurate edge detection using VedgeSat.</p>
<fig id="f12" position="float">
<label>Figure&#xa0;12</label>
<caption>
<p>Extracted vegetation edge (blue line) with the validation line (red dashed line) for S14-Managed vegetation sandy. <bold>(A)</bold> ESRI Basemap image acquired on 2024-01-21, showing the full extent of both lines; <bold>(B)</bold> Zoomed-in Sentinel-2 subset from 2024-05-17; <bold>(C)</bold> NDVI values derived from Sentinel-2. Both zoomed <bold>(B, C)</bold> correspond to the area indicated by the black box in <bold>(A)</bold>.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-13-1757991-g012.tif">
<alt-text content-type="machine-generated">Panel A shows a satellite image of a coastal area with a red dashed line labeled as validation line dated May sixteenth, two thousand twenty-four, and a solid blue line indicating the extracted vegetation edge dated May seventeenth, two thousand twenty-four. Panel B presents a zoomed-in, pixelated view of the selected region with both lines visible. Panel C displays a corresponding NDVI map in the same region, colored by NDVI values from green to red, with the same lines overlaid and a legend indicating the value range. Scale bars and north arrows are included in all panels.</alt-text>
</graphic></fig>
</sec>
<sec id="s3_1_8">
<label>3.1.8</label>
<title>The validation of VedgeSat in oil palm plantation muddy environments</title>
<p>Oil palm plantations represent a distinct vegetation type along parts of the Dumai coast, characterized by dense, regularly spaced rows of trees cultivated for agricultural production. These plantations contribute to a unique and spatially consistent vegetation profile within the muddy coastal landscape. S8-Oil palm plantation muddy was evaluated using a validation line from a PlanetScope image dated 2024-04-22, with a 15-day date gap to extracted VE on 2024-04-07. Despite this temporal offset, the toolkit model exhibited strong performance, achieving an RMSE of 3.3 m, an R<sup>2</sup> of 0.77, and MPE of &#x2013;0.9. <xref ref-type="fig" rid="f13"><bold>Figure&#xa0;13</bold></xref> indicated high spatial agreement with VE and VL remain closely aligned along most of the transect. Panel (c) further supports this with a clear NDVI gradient and a well-defined vegetation boundary, typical of structured plantations layouts. These findings suggest that the consistent canopy and abrupt edge transitions found in oil palm plantations create a clear NDVI gradient that supports accurate VE detection, even under moderate temporal gaps.</p>
<fig id="f13" position="float">
<label>Figure&#xa0;13</label>
<caption>
<p>Extracted vegetation edge (blue line) with the validation line (red dashed line) for S8-Oil palm plantation muddy. <bold>(A)</bold> PlanetScope image acquired on 2024-04-22, showing the full extent of both lines; <bold>(B)</bold> Zoomed-in Sentinel-2 subset from 2024-04-07; <bold>(C)</bold> NDVI values derived from Sentinel-2. Both zoomed  <bold>(B, C)</bold> correspond to the area indicated by the white box in <bold>(A)</bold>.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-13-1757991-g013.tif">
<alt-text content-type="machine-generated">Three-panel figure comparing validation and extracted vegetation edge lines on satellite imagery. Panel A displays an aerial image with dashed red and solid blue lines; Panel B shows a pixelated version of the same area; Panel C presents NDVI values with a color scale from green to orange, mapping vegetation health. All panels feature north arrows, scale bars, and overlays of validation and extracted edge lines dated April 2024.</alt-text>
</graphic></fig>
</sec>
</sec>
<sec id="s3_2">
<label>3.2</label>
<title>Threshold sensitivity and tuning for vegetation edge detection of VedgeSat</title>
<p>The selection of an appropriate NDVI threshold was a key factor in determining the accuracy of vegetation edge detection using the VedgeSat toolkit. Applying a single automated threshold across diverse environments may lead to inconsistent or suboptimal outcomes. <xref ref-type="fig" rid="f14"><bold>Figure&#xa0;14</bold></xref> summarizes the results of threshold tuning process across 15 samples, which tested NDVI values from -0.05 to 0.30 in increments of 0.025, and compared their performance with that of the threshold automatically calculated using the Weighted Peaks threshold. Automated thresholds were frequently outperformed, with RMSE values ranging from 4.1 m (S13-Grass gravel) to 88.9 m (S8-Oil palm plantation muddy), while tuning reduced RMSE to as low as 2.67 m (S14-Managed vegetation sandy). Optimal thresholds varied by vegetation type and density. Dense samples typically performed best between 0.10 and 0.20, whereas sparse vegetation required lower thresholds from &#x2013;0.025 to 0.10. Mixed vegetation in muddy environments and managed vegetation in sandy settings showed consistent optimal thresholds around 0.125 and 0.10, respectively, whereas other environments exhibited varying values.</p>
<fig id="f14" position="float">
<label>Figure&#xa0;14</label>
<caption>
<p>Heatmap of RMSE values across NDVI thresholds for all samples. Lower RMSE values indicates better accuracy. The optimal threshold for each sample is outlined in red.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-13-1757991-g014.tif">
<alt-text content-type="machine-generated">Heatmap showing RMSE values for different NDVI thresholds across fifteen sample types with color gradients indicating RMSE magnitude; best RMSE for each row is outlined in red, annotated with exact values for comparison.</alt-text>
</graphic></fig>
<p>The sensitivity of VE detection to thresholds adjustments varied across vegetation types and environmental settings. Sparse vegetation, such as mangroves and grass on sandy sediments, showed narrow optimal ranges where small NDVI changes produced large positional shifts. For example, in sample S12-Grass sandy, RMSE increased from ~10 m at 0.025 to nearly 40 m at 0.05, reflecting a narrow NDVI threshold window. By contrast, mixed vegetation on sandy sediments and grass on gravel showed broader tolerance with relatively stable RMSE values across thresholds. Overall, sparse settings were highly sensitive while denser vegetation types were more robust, with Padang samples (sandy and gravel) generally showing wider optimal ranges than Dumai&#x2019;s muddy environments. These results suggest that vegetation density, sediment, and spectral contrast together determine the robustness of VE detection to NDVI threshold variation.</p>
<p>To further explore how vegetation type and sediment influence edge detection, the 15 samples were grouped into four categories: (1) mangroves on muddy vs sandy environments, (2) mixed vegetation in muddy vs sandy environments, (3) grass in sandy vs gravel environments, and (4) managed vegetation vs oil palm plantation (<xref ref-type="fig" rid="f15"><bold>Figure&#xa0;15</bold></xref>). Mangroves on muddy settings showed stable RMSE around 0.10, while those on sandy sediments were highly sensitive with sharp increases beyond 0.025.</p>
<fig id="f15" position="float">
<label>Figure&#xa0;15</label>
<caption>
<p>RMSE Sensitivity plots for selected vegetation samples across NDVI thresholds. Diamond markers indicate the RMSE from automated thresholding.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-13-1757991-g015.tif">
<alt-text content-type="machine-generated">Four-panel figure showing line graphs of RMSE in meters versus NDVI threshold for various vegetation and substrate types. Each panel compares two datasets with distinct colored lines and includes diamond markers for automated thresholds. Legends identify data series.</alt-text>
</graphic></fig>
<p>Mixed vegetation in both muddy and sandy environments exhibited well-defined RMSE minimum near 0.125, although sandy sites were slightly more variable. S13-Grass gravel displayed a stronger contrast with low sensitivity and steady RMSE across a wide threshold range. Conversely, S12-Grass sandy was highly sensitive, as RMSE rose dramatically from 10.08 m to over 30 m with only small change in threshold. Lastly, the comparison of anthropogenic vegetated landscape between managed vegetation in sandy environment and oil palm plantation in muddy environment revealed contrasting patterns. Managed vegetation on the sandy coasts produced smooth and stable results with an optimum near 0.10, while oil palm plantations on muddy coasts showed narrow optimal ranges around 0.15 and greater variability.</p>
</sec>
</sec>
<sec id="s4" sec-type="discussion">
<label>4</label>
<title>Discussion</title>
<sec id="s4_1">
<label>4.1</label>
<title>VedgeSat performance in detecting vegetation edges across different vegetation types and environments</title>
<p>The variation in VedgeSat performance across vegetation types and environments highlights how ecological structure and local spectral context influence the robustness of automated NDVI-based detection. Dense vegetation produced reliable results, with sub-pixel positional accuracy and strong correlations to validation data. These findings indicate that canopy structure, coverage and biomass enhance NDVI separation from adjacent bare sediments, creating well-defined gradients that support consistent edge detection. Previous studies (<xref ref-type="bibr" rid="B580">Gao and Zhang, 2006</xref>; <xref ref-type="bibr" rid="B590">Olmo et&#xa0;al., 2024</xref>) similarly demonstrated that vegetation type and canopy cover strongly influences NDVI-based indices, supporting the idea that structural complexity drives spectral stability in vegetation edge detection. In contrast, sparse or patchy vegetation caused substantial positional uncertainty. Limited canopy cover and fragmented patches such as pioneer mangroves and grasses produced weak NDVI signals that often fall below classification thresholds and reduce detection accuracy. In line with these findings, <xref ref-type="bibr" rid="B26">Muir et&#xa0;al. (2024)</xref> noted that sparse vegetation within diffuse and dynamic vegetation edge presents significant challenges for edge detection, often leading to larger positional uncertainties.</p>
<p>Spectral mixing emerged as the primary factor driving bias patterns across sites. In Dumai&#x2019;s brown waters, most samples (except S3-Mangrove muddy) consistently exhibited negative MPE values, indicating that vegetation edges were positioned landward relative to validation lines. Transitional pixels in this environment often contained mixed signals of brown water, muddy sediment and vegetation signals, producing intermediate NDVI values that fell below the vegetation threshold and shifted the edge inland. In contrast, sandy and gravel environments in Padang consistently produced positive MPE values. The transitional pixels combined signals from vegetation, and sandy or gravel sediments, generating intermediate NDVI values and pushing the VE further seaward. Despite these opposing patterns, MPE values for dense vegetation across both sites remained below 7 m, confirming that VedgeSat maintained robust performance under varied water and sediment conditions.</p>
<p>In addition to environmental conditions, several technical factors also affected VedgeSat&#x2019;s performance and positional accuracy. The 10 m spatial resolution of Sentinel-2 imagery limited the ability to capture narrow or highly dynamic vegetation edges, particularly the sparse or patchy vegetation. Additionally, temporal mismatch between satellite image acquisition and validation surveys also introduced uncertainty, as vegetation growth, erosion and/or accretion, or other environmental change could occur between dates, increasing RMSE values. However, perfectly matching dates for VLs and extracted VEs are often unachievable due to limitations in satellite revisit frequencies, cloud cover, and data availability. In this study, these temporal effects were present but generally less pronounced than the environmental factors such as vegetation density, sediment, and water conditions.</p>
<p>Overall, despite challenges in sparse and dynamic environments, VedgeSat demonstrated strong and consistent performance in detecting vegetation edges across the two contrasting tropical coastal settings examined in this study, particularly in areas with dense vegetation. While the accuracy values reported reflect site-specific environmental conditions and validation approaches, several methodological insights are broadly transferable, including the sensitivity of vegetation edge detection to vegetation density and NDVI threshold selection. These findings provide an initial benchmark of VedgeSat&#x2019;s performance in tropical coastal environments and highlight its potential to support long-term coastal change assessments, provided that site-specific calibration and validation undertaken.</p>
</sec>
<sec id="s4_2">
<label>4.2</label>
<title>Threshold sensitivity and tuning of NDVI for vegetation edge detection</title>
<p>The performance of VedgeSat&#x2019;s automated thresholding, which is based on the Weighted Peaks algorithm, reflected both its potential and limitations when applied to complex tropical coastal environments. Designed to enhance detection in diffuse vegetation edges by assigning greater weight to non-vegetation pixels (0.8) than to vegetation (0.2), the algorithm aimed to better capture transition zones. However, its performance across 15 samples in Dumai and Padang was inconsistent. While the method performed well in some cases (e.g., RMSE of 4.1 m in sample S13-Grass gravel), in most samples, especially sparse vegetation settings, it produced high errors, with RMSE values exceeding 30 m. Overall, these results indicate that automated NDVI thresholding does not consistently deliver optimal performance across the tropical environments examined in this study.</p>
<p>In several cases, the derived thresholds unexpectedly aligned more closely with NDVI values of vegetated areas, despite the higher weighting assigned to non-vegetation. This counterintuitive result likely arises from differences in the statistical properties of pixel distribution. First, vegetated pixels often produce sharper and more distinct NDVI peaks which can disproportionately influence the threshold calculation despite their smaller assigned weight. Second, the NDVI values of non-vegetated areas such as sand or clear water often exhibit broader or flatter distributions, leading to poorly defined peaks that reduce the influence of non-vegetated class in determining threshold. Third, the default weighting approach may not be fully appropriate for tropical coastal environments, where spectral conditions are more complex. These results indicate that the default weighting scheme is less suited to tropical conditions, where vegetation, sediment and water mixtures create complex spectral signatures that challenge automated threshold estimation. Further adjustment of the weighted values or local tuning may be necessary to achieve optimal automated results in complex tropical coastal environments.</p>
<p>The key motivation behind the automated thresholding method is to reduce manual effort, enabling faster and more scalable VE detection across large datasets or long time series. However, these results underscore a trade-off between automation and accuracy. While automation allows users to avoid labor-intensive threshold selection for each image, it may compromise edge precision in heterogeneous environments. This highlights the importance of improving the automated approach to balance efficiency with positional accuracy, especially for long-term change assessments where manual inspection of each image is impractical.</p>
<p>The threshold sensitivity analysis further highlighted how environmental and vegetation structure influenced VedgeSat&#x2019;s response to NDVI variation. Dense vegetation exhibited relatively low sensitivity to threshold adjustments compared to sparse vegetation samples. For example, in sample S12-Grass sandy, a small threshold change from 0.025 to 0.05 increased RMSE from 10.08 m to 38.53 m, reflecting instability in transitional zones. In contrast, S15-Managed vegetation sandy showed consistently low sensitivity, with RMSE increasing by only 0.8 m between thresholds of 0.20 and 0.225. Furthermore, muddy environments tended to be more sensitive than sandy environments, indicating that vegetation edges in turbid and dynamic settings are more responsive to small spectral changes. These contrasting responses demonstrate strong site-specific sensitivity of NDVI thresholds, with S12-Grass sandy exhibiting a narrow optimal threshold window, in contrast to other environments where a broader range of thresholds produced comparable RMSE values. Furthermore, these findings are further illustrated in <xref ref-type="fig" rid="f16"><bold>Figure&#xa0;16</bold></xref>, which compares positional accuracy before and after NDVI threshold tuning. The plot shows a marked improvement in RMSE, R<sup>2</sup>, and MPE after tuning for most samples, highlighting the effectiveness of threshold adjustments in enhancing vegetation edge detection accuracy in complex tropical coastal settings. The substantial RMSE gap observed between automated NDVI thresholds, and the best-performing manually selected thresholds provides direct empirical support for the need for regional or site-specific threshold calibration when applying VedgeSat in tropical coastal environments.</p>
<fig id="f16" position="float">
<label>Figure&#xa0;16</label>
<caption>
<p>Vegetation edge detection performance before and after NDVI threshold tuning. RMSE, R<sup>2</sup>, and MPE values correspond to performance after tuning. Hollow symbols represent positional error before tuning and solid symbols show errors after tuning.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-13-1757991-g016.tif">
<alt-text content-type="machine-generated">Scatter plot showing the median positional error in meters for fifteen tropical coastal vegetation sites after NDVI threshold tuning, with performance metrics RMSE, R², and MPE reported for each. Markers are color-coded for dense and sparse vegetation, with open diamonds indicating values before tuning. Legend distinguishes between vegetation density and tuning status.</alt-text>
</graphic></fig>
<p>Overall, these findings demonstrate that while the automated threshold may not consistently deliver the best results, VedgeSat&#x2019;s threshold flexibility allows users to adapt the tool to local environmental contexts. Through systematic threshold tuning significant improvements in positional accuracy can be achieved, especially in complex or transitional coastal environments. This adaptability underscores VedgeSat&#x2019;s potential as a flexible and scalable framework for monitoring vegetation edges in diverse tropical settings.</p>
</sec>
<sec id="s4_3">
<label>4.3</label>
<title>Strengths and limitations</title>
<p>This study highlights several key strengths of applying VedgeSat for vegetation edge detection in tropical regions. First, the toolkit proved to be robust and adaptable across diverse vegetation types and environmental settings, even without retraining of the model classifier. Despite being originally trained in temperate settings, the default configuration performed well for a range of dense vegetation types in tropical coasts, underscoring its transferability and scalability for data-limited regions. Second, the systematic NDVI threshold tuning revealed that simple adjustments can lead to notable improvements in edge accuracy when validation data are available. This adaptability strengthens its potential for broader use across varied coastal settings. Finally, the toolkit&#x2019;s flexible input structure and transparent configuration also allow for customization, making it accessible to a broader range of coastal researchers and practitioners. These strengths position VedgeSat as a promising proxy for monitoring coastal change, particularly in challenging settings such as turbid and muddy environments, as demonstrated by <xref ref-type="bibr" rid="B19">L&#xf3;pez et&#xa0;al. (2025)</xref> who applied it successfully in estuarine settings in Argentina.</p>
<p>However, VedgeSat is built upon several methodological assumptions, including the presence of a discernible vegetation boundary separating vegetated and non-vegetated zones, sufficient vegetation density to produce a clear NDVI signal, and sensor characteristics that allow consistent detection across image acquisitions. The method further assumes that vegetation edges represent a more temporally stable shoreline proxy than wet-dry boundaries and are therefore less sensitive to short-term tidal variability. As a result, VedgeSat is particularly well suited for long-term and seasonal analyses of coastal change, where reducing tidal-induced positional noise is critical.</p>
<p>Several limitations and challenges were also identified. VedgeSat&#x2019;s performance decreased in environments characterized by sparse vegetation, such as sparse mangroves and grasslands with limited spatial extent, where NDVI values tend to be low and fall near the classification threshold. This method-related limitation was observed to be further amplified under tropical coastal conditions characterized by heterogeneous vegetation composition, high turbidity, and mixed sedimentary environments. Furthermore, the 10-m spatial resolution of Sentinel-2 imagery may not be sufficient for detecting narrow or fragmented vegetation zones, especially when these patches are smaller than a single pixel. In addition, the automated thresholding using the Weighted Peaks algorithm, though conceptually promising, showed mixed results in tropical settings. While it worked well in gravel environments, it tended to underperform in other environments, reinforcing the need for localized threshold adjustments in such settings.</p>
<p>Lastly, the validation process in Dumai, which relied on manual digitization of high-resolution PlanetScope imagery to define VLs, introduces an element of subjectivity and potential positional uncertainty. Differences in spatial resolution between Sentinel-2 (10 m) and PlanetScope (3 m) may also affect alignment and contribute to discrepancies between extracted VE and VL. These resolution mismatches and manual interpretation challenges should be considered when evaluating the accuracy of the results. In contrast, validation in Padang was conducted using a GPS EOS Arrow 100 Sub-meter GNSS receiver integrated with ArcGIS FieldMaps surveys, providing higher positional accuracy and a more direct representation of the true vegetation boundary. While this approach reduces subjectivity and image interpretation uncertainty, GNSS-based surveys remain subject to errors related to satellite geometry, atmospheric conditions and receiver performance. Accordingly, the use of different validation approaches between Dumai and Padang introduces method-dependent uncertainty, which may contribute to differences in reported accuracy metrics. Accuracy results are therefore interpreted primarily within each study, rather than as a direct quantitative comparison between sites.</p>
</sec>
<sec id="s4_4">
<label>4.4</label>
<title>Future directions</title>
<p>Future research should address the challenges of detecting edges in sparse or fragmented vegetation environments. While VedgeSat currently incorporates the Soil Adjusted Vegetation Index (SAVI) using a default L value of 0.5, there is potential to further refine its performance in areas with sparse or dynamic vegetation by adjusting the L values based on the environmental characteristics. Additionally, integrating alternative indices such as Enhanced Vegetation Index (EVI), which is more responsive to canopy structure and sediment variability, could help resolve spectral ambiguity of sparse vegetation. These indices may improve edge detection where the NDVI contrast is weak.</p>
<p>Beyond vegetation indices, the integration of spectral unmixing techniques could further enhance edge detection by decomposing mixed spectral signals into their constituent components. This approach would allow for the identification of sparse vegetation within pixels that contain a combination of vegetation, sand, and water. For instance, spectral unmixing has been successfully applied by <xref ref-type="bibr" rid="B570">Ettritch et&#xa0;al. (2018)</xref> to monitor the coastal dune system in Wales and by de <xref ref-type="bibr" rid="B560">Vries et&#xa0;al. (2021)</xref> to characterize diffuse boundaries of subtidal mud banks. Applying similar techniques to tropical coastal environments could improve the detection of vegetation edge.</p>
<p>Furthermore, while the current automated NDVI thresholding approach using Weighted Peaks showed promising results in specific cases such as gravel environment, its performance was inconsistent in muddy and sandy settings, particularly in areas characterized by sparse vegetation. To enhance the performance of VedgeSat in diverse tropical environments, future work should focus on refining the weighted peaks values. While the current Weighted Peaks algorithm provides a computationally efficient solution, it may not adequately capture the spectral complexity found in tropical coastal settings. One promising direction is to evaluate alternative weighting combinations tailored to specific vegetation and environmental types. This would not require the development of new algorithms, but rather a systematic calibration of the existing approach to improve its adaptability and accuracy.</p>
<p>Ultimately, these refinements guided by the tuning result can reduce the need for manual threshold adjustments and enable more consistent and scalable automated VE detection in coastal monitoring. Despite the challenges outlined, this study demonstrates the promising capabilities of VedgeSat in characterizing vegetation edges across complex tropical coastal environments. Its ability to detect long-term vegetation changes using freely available satellite imagery makes it a scalable and replicable tool for supporting coastal monitoring in data-limited regions. By establishing the baseline accuracy and environmental sensitivity of the toolkit, this study provides a critical foundation for expanding its application to broader coastal change assessments. These insights will be further explored in a follow-up study focused on evaluating the long-term spatiotemporal dynamics of coastal change in both study sites.</p>
</sec>
</sec>
<sec id="s5" sec-type="conclusions">
<label>5</label>
<title>Conclusions</title>
<p>This study evaluated the performance of VedgeSat for detecting VE across diverse tropical coastal environments in Dumai and Padang, Sumatra, Indonesia. The results demonstrate VedgeSat&#x2019;s robustness in dense coastal vegetation, with RMSE values consistently at a sub-pixel scale (below 7 m for Sentinel-2 imagery). However, greater positional uncertainty was observed in more complex settings, particularly in sparse vegetation zones where canopy signals are weak and along sandy coasts. These conditions resulted in reduced edge detection accuracy compared to dense vegetation, where canopies with well-defined NDVI signals consistently supported more accurate detection.</p>
<p>A key finding was that spectral mixing drove systematic bias in vegetation edge placement, producing landward biases on Dumai&#x2019;s turbid waters and seaward patterns in Padang&#x2019;s clear water and sandy environments. This highlights the importance of accounting for local spectral conditions when interpreting automated vegetation edge outputs. These insights enhance the reliability of automated outputs in dynamic coastal settings and provide a cost-efficient alternative to conventional shoreline surveys, which often require repeated manual mapping or ground surveys. A second key finding was the effectiveness of systematic NDVI threshold tuning, which substantially improved VE accuracy in complex settings. Threshold sensitivity varied to vegetation density and sediment type, with sparse vegetation and muddy environments exhibiting greater responsiveness to threshold changes. These findings underscore both the limitations of current automated thresholding approaches and the potential for adaptive or locally tuned thresholds to enhance accuracy.</p>
<p>Overall, this study provides the first systematic benchmark of VedgeSat in tropical environments, demonstrating both its robustness in dense vegetation and its limitations in sparse or complex settings. By revealing the role of spectral mixing in positional bias and by introducing a systematic threshold tuning approach, this study delivers new methodological insights that extend the applicability of automated vegetation edge detection to tropical coasts. These advances strengthen the case for satellite-based monitoring as a scalable, transferable, and cost-effective approach to support coastal change analysis, coastal zone management initiatives, ecosystem restoration projects and environmental monitoring. This tool will directly support coastal hazard risk managers to improve ecosystem and societal resilience in our rapidly changing climate.</p>
</sec>
</body>
<back>
<sec id="s6" sec-type="data-availability">
<title>Data availability statement</title>
<p>The datasets generated and analysed during the current study are publicly available in the University of Glasgow Enlighten Research Data repository: <uri xlink:href="https://researchdata.gla.ac.uk/2190/">https://doi.org/10.5525/gla.researchdata.2190</uri>.</p></sec>
<sec id="s7" sec-type="author-contributions">
<title>Author contributions</title>
<p>IN: Writing &#x2013; original draft, Writing &#x2013; review &amp; editing, Formal Analysis, Visualization, Methodology, Validation, Conceptualization. FM: Methodology, Software, Writing &#x2013; review &amp; editing. LN: Methodology, Supervision, Conceptualization, Writing &#x2013; review &amp; editing. MH: Supervision, Methodology, Writing &#x2013; review &amp; editing, Conceptualization.</p></sec>
<ack>
<title>Acknowledgments</title>
<p>The authors thank Ilham Setiyadi, Aslam Fuadi, M. Faisal Karim, and Owen Syah for their invaluable field assistance and logistical support. We also acknowledge the SAR Team from Badan Penanggulangan Bencana Daerah (BPBD) Kota Dumai for their support during fieldwork in Dumai.</p>
</ack>
<sec id="s9" sec-type="COI-statement">
<title>Conflict of interest</title>
<p>The author(s) declared that this work was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p></sec>
<sec id="s10" sec-type="ai-statement">
<title>Generative AI statement</title>
<p>The author(s) declared that generative AI was used in the creation of this manuscript. The first author used ChatGPT (OpenAI, GPT-5.1, 2025) solely for language polishing and clarity improvement. After using this tool, the author carefully reviewed and edited all outputs and takes full responsibility for the final content. No scientific ideas, analyses, interpretations, or results were generated by AI. All scientific components of the manuscript were developed by the authors. All co-authors reviewed and approved the final 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="s11" 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="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/fmars.2026.1757991/full#supplementary-material">https://www.frontiersin.org/articles/10.3389/fmars.2026.1757991/full#supplementary-material</ext-link></p>
<supplementary-material xlink:href="Table1.docx" id="SM1" mimetype="application/vnd.openxmlformats-officedocument.wordprocessingml.document"/>
<supplementary-material xlink:href="Table2.docx" id="SM2" mimetype="application/vnd.openxmlformats-officedocument.wordprocessingml.document"/></sec>
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<fn id="n1" fn-type="custom" custom-type="edited-by">
<p>Edited by: <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/2989382">Anselme Muzirafuti</ext-link>, University of Messina, Italy</p></fn>
<fn id="n2" fn-type="custom" custom-type="reviewed-by">
<p>Reviewed by: <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/3155486">Smail Souiri</ext-link>, Mohamed V University, Morocco</p>
<p><ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/3327323">Mohammad Raditia Pradana</ext-link>, University of Indonesia, Indonesia</p></fn>
</fn-group>
</back>
</article>