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<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Remote Sens.</journal-id>
<journal-title-group>
<journal-title>Frontiers in Remote Sensing</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Remote Sens.</abbrev-journal-title>
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<issn pub-type="epub">2673-6187</issn>
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<publisher-name>Frontiers Media S.A.</publisher-name>
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<article-meta>
<article-id pub-id-type="publisher-id">1659305</article-id>
<article-id pub-id-type="doi">10.3389/frsen.2026.1659305</article-id>
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<subj-group subj-group-type="heading">
<subject>Original Research</subject>
</subj-group>
</article-categories>
<title-group>
<article-title>Mapping small-sized logging disturbances in tropical forests using Sentinel-1 time series and an extensive ground truth dataset</article-title>
<alt-title alt-title-type="left-running-head">Mercier et al.</alt-title>
<alt-title alt-title-type="right-running-head">
<ext-link ext-link-type="uri" xlink:href="https://doi.org/10.3389/frsen.2026.1659305">10.3389/frsen.2026.1659305</ext-link>
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<name>
<surname>Mercier</surname>
<given-names>Audrey</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
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<xref ref-type="aff" rid="aff2">
<sup>2</sup>
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<sup>3</sup>
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<sup>4</sup>
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<surname>Mortier</surname>
<given-names>Fr&#xe9;d&#xe9;ric</given-names>
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<sup>3</sup>
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<surname>Ploton</surname>
<given-names>Pierre</given-names>
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<surname>Cornu</surname>
<given-names>Guillaume</given-names>
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<sup>1</sup>
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<aff id="aff1">
<label>1</label>
<institution>CIRAD, For&#xea;ts et Soci&#xe9;t&#xe9;s</institution>, <city>Montpellier</city>, <country country="FR">France</country>
</aff>
<aff id="aff2">
<label>2</label>
<institution>For&#xea;ts et Soci&#xe9;t&#xe9;s Unit, University Montpellier, CIRAD</institution>, <city>Montpellier</city>, <country country="FR">France</country>
</aff>
<aff id="aff3">
<label>3</label>
<institution>AMAP Unit, University Montpellier, IRD, CIRAD, CNRS, INRAE</institution>, <city>Montpellier</city>, <country country="FR">France</country>
</aff>
<aff id="aff4">
<label>4</label>
<institution>School of Engineering, Aalto University</institution>, <city>Espoo</city>, <country country="FI">Finland</country>
</aff>
<aff id="aff5">
<label>5</label>
<institution>Environmental Justice Program&#x2013;Georgetown, Georgetown University</institution>, <city>Washington</city>, <state>DC</state>, <country country="US">United States</country>
</aff>
<aff id="aff6">
<label>6</label>
<institution>Plant Systematics and Ecology Laboratory, Higher Teachers&#x2019; Training College, University of Yaound&#xe9; I</institution>, <city>Yaound&#xe9;</city>, <country country="CM">Cameroon</country>
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<author-notes>
<corresp id="c001">
<label>&#x2a;</label>Correspondence: Audrey Mercier, <email xlink:href="mailto:mercieraudrey2@gmail.com">mercieraudrey2@gmail.com</email>
</corresp>
</author-notes>
<pub-date publication-format="electronic" date-type="pub" iso-8601-date="2026-03-11">
<day>11</day>
<month>03</month>
<year>2026</year>
</pub-date>
<pub-date publication-format="electronic" date-type="collection">
<year>2026</year>
</pub-date>
<volume>7</volume>
<elocation-id>1659305</elocation-id>
<history>
<date date-type="received">
<day>03</day>
<month>07</month>
<year>2025</year>
</date>
<date date-type="rev-recd">
<day>28</day>
<month>01</month>
<year>2026</year>
</date>
<date date-type="accepted">
<day>09</day>
<month>02</month>
<year>2026</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2026 Mercier, Betbeder, Mortier, Barbier, Ploton, Cornu and Couteron.</copyright-statement>
<copyright-year>2026</copyright-year>
<copyright-holder>Mercier, Betbeder, Mortier, Barbier, Ploton, Cornu and Couteron</copyright-holder>
<license>
<ali:license_ref start_date="2026-03-11">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>Deforestation and forest degradation are the main threats to biodiversity and carbon stocks in tropical forests. Advances in optical and SAR satellite sensors have enabled the development of real-time monitoring of deforestation on a global scale. SAR is particularly appealing in tropical areas due to its insensitivity to cloud cover. However, the automatic detection of small disturbed areas (such as individual tree felling gaps) remains a major challenge. Thanks to a unique dataset consisting of 23,759 locations of individual tree felling gaps and multi-date drone lidar acquisitions, we evaluated the potential of Sentinel-1 dense time series for monitoring small-sized forest disturbances substantially smaller than 0.1&#xa0;ha on both FSC-certified and artisanal logging sites in the Congo Basin. We designed a new method for forest monitoring using the fused-lasso technique optimized to detect abrupt changes of at least 0.02&#xa0;ha in Sentinel-1 time series using the fused-lasso technique (Fused-Lasso Change Detection, FLCD). We assessed our new method along with the Cumulative Sum (CuSum) that also proved promising for detecting small impacts, referring for the first time to precise disturbance dates over large areas. Both approaches reached similar rates of confirmed felling gaps that were similarly increasing with gap size, and similar rates of unconfirmed detected gaps. The FLCD method estimates the dates of tree felling more accurately in FSC-certified areas (&#x2212;2&#xa0;days difference for FLCD and &#x2212;19 for CuSum on average). The effective resolution of the S-1 images limits detection for the smallest gaps, yet the approach can help detect and monitor degradation fronts. Fused lasso regression is relevant for modeling the temporal trajectories of the radar signal, which will allow taking advantage of both the increasing availability of UAV-borne data and the lengthening of the S-1 image series.</p>
</abstract>
<kwd-group>
<kwd>artisanal and certified logging</kwd>
<kwd>Congo basin</kwd>
<kwd>fused-lasso</kwd>
<kwd>Sentinel-1 SAR time series</kwd>
<kwd>tree-felling gap detection</kwd>
<kwd>tropical forest degradation</kwd>
</kwd-group>
<funding-group>
<award-group id="gs1">
<funding-source id="sp1">
<institution-wrap>
<institution>Agence Fran&#xe7;aise de D&#xe9;veloppement</institution>
<institution-id institution-id-type="doi" vocab="open-funder-registry" vocab-identifier="10.13039/open_funder_registry">10.13039/501100011061</institution-id>
</institution-wrap>
</funding-source>
</award-group>
<award-group id="gs2">
<funding-source id="sp2">
<institution-wrap>
<institution>Research Council of Finland</institution>
<institution-id institution-id-type="doi" vocab="open-funder-registry" vocab-identifier="10.13039/open_funder_registry">10.13039/501100002341</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 through the PROFEAAC project funded by the French Development Agency (AFD) (AGREEMENT AFD No. CZZ 2123.01V) and the European Union &#x2013; NextGenerationEU as part of the ARTISDIG research council of Finland project (decision number 348152). We thank Vincent Istace, Eric Forni and the consultants of the CIB SYLVAFRICA funded by the project DYNAFOR for providing the GPS points of felled trees and the UAV acquisitions over the FSC study areas. We also acknowledge support from the AfriCam project, funded by the French Development Agency (AFD) as part of PREACTS (PREZODE in Action in the Global south) program.</funding-statement>
</funding-group>
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<meta-value>Remote Sensing Time Series Analysis</meta-value>
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</front>
<body>
<sec sec-type="intro" id="s1">
<label>1</label>
<title>Introduction</title>
<p>Tropical forests are known to play a key role in many ecosystem services such as carbon sequestration, climate regulation, and biodiversity conservation (<xref ref-type="bibr" rid="B56">Saha, 2021</xref>). However, these ecosystems have undergone extensive deforestation and degradation in recent decades. Monitoring deforestation is fairly well understood; between 1990 and 2020, 420&#xa0;M&#xa0;ha have been deforested worldwide (<xref ref-type="bibr" rid="B22">Food and Agriculture Organization of the United Nations, 2020</xref>). Forest degradation is more complex to characterize and monitor by remote sensing, although previous studies have highlighted its significant contribution to carbon emissions (<xref ref-type="bibr" rid="B45">Pearson et al., 2017</xref>; <xref ref-type="bibr" rid="B50">Qin et al., 2021</xref>). Degradation can be defined as a change in forest structure and composition that results in the reduction or loss of ecosystem services provided by forests. This process can occur in multiple forms and vary widely on both a temporal and a spatial scale (<xref ref-type="bibr" rid="B48">Putz and Redford, 2010</xref>; <xref ref-type="bibr" rid="B24">Ghazoul et al., 2015</xref>).</p>
<p>In the Congo basin, forest logging, including formal and informal operations, is a major driver of forest degradation (<xref ref-type="bibr" rid="B62">Tegegne et al., 2016</xref>; <xref ref-type="bibr" rid="B66">Vancutsem et al., 2020</xref>). Quite often, logging-induced forest degradation has proved to be a pathway toward deforestation, as degraded forests are vulnerable to additional destruction causes (e.g., fires) and are easier to clear for crops by small farmers (<xref ref-type="bibr" rid="B66">Vancutsem et al., 2020</xref>). Formal logging activities correspond to industrial logging in large-scale concessions allocated to corporations by governments, while informal activities refer to artisanal logging for domestic markets and often entails illegal operations (<xref ref-type="bibr" rid="B37">Kleinschroth et al., 2019</xref>). In the Congo Basin, 11% of the area under concessions was certified by the Forest Stewardship Council (FSC) in 2016 (<xref ref-type="bibr" rid="B44">OFAC, 2023</xref>) requiring them to meet defined social and environmental standards for sustainable forest management (<xref ref-type="bibr" rid="B37">Kleinschroth et al., 2019</xref>). This includes reducing the size of felling gaps as part of reduced-impact logging techniques (RIL). In contrast, artisanal logging follows no specific standards but provides important income and employment opportunities for local communities (<xref ref-type="bibr" rid="B40">Lescuyer et al., 2025</xref>). It involves the manual felling and processing of trees by individual operators with limited resources and equipment (i.e., chainsaws, axes and hand saws). Artisanal harvesting of trees usually lead to small-sized felling gaps (i.e., <inline-formula id="inf1">
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</inline-formula>&#xa0;ha.</p>
<p>The last two&#xa0;decades have been marked by the development of methodologies using optical satellite images to detect deforested and degraded areas by taking advantage of the long-term archives of Landsat imagery (<xref ref-type="bibr" rid="B5">Asner et al., 2005</xref>; <xref ref-type="bibr" rid="B60">Souza et al., 2005</xref>; <xref ref-type="bibr" rid="B21">Dutrieux et al., 2015</xref>; <xref ref-type="bibr" rid="B17">DeVries et al., 2015</xref>; <xref ref-type="bibr" rid="B29">Hansen et al., 2016</xref>; <xref ref-type="bibr" rid="B66">Vancutsem et al., 2020</xref>). Since the launch of the Sentinel-2 constellation in 2014, optical data with higher spatio-temporal resolutions are available and allow finer detection of forest disturbances (<xref ref-type="bibr" rid="B72">Zhang et al., 2021</xref>). The Global Land Analysis &#x26; Discovery (GLAD) Alert (<xref ref-type="bibr" rid="B29">Hansen et al., 2016</xref>), the Continuous Change Detection and Classification (<xref ref-type="bibr" rid="B9">Bullock et al., 2020</xref>) and the Tropical Moist Forest (TMF) (<xref ref-type="bibr" rid="B66">Vancutsem et al., 2020</xref>) are well known global operational systems to monitor forest degradation from a monthly to an annual basis. However, optical-based monitoring methods display limitations in tropical regions, as frequent cloud cover prevents the sensor from observing the land surface. They require clear images and dense time series with sufficient spatial resolution to detect the rapid changes in forest cover typical of forest degradation &#x2013; particularly tree felling associated with FSC practices, Reduced Impact Logging (RIL), or small-scale artisanal activities &#x2013; which create small canopy gaps that quickly regenerate through natural vegetation growth (<xref ref-type="bibr" rid="B68">Webb, 1997</xref>; <xref ref-type="bibr" rid="B26">Gourlet-Fleury et al., 2013</xref>; <xref ref-type="bibr" rid="B14">Dalagnol et al., 2019</xref>).</p>
<p>Synthetic Aperture Radar (SAR) sensors represent the most promising tools to address this challenge as the radar signal is not significantly affected by atmospheric conditions and can be acquired day or night. With its high spatio-temporal resolution and open-access data policy, the open-access Sentinel-1 (S-1) mission provides SAR satellite image time series that have demonstrated a high potential to monitor forest disturbances in tropical areas (<xref ref-type="bibr" rid="B8">Bouvet et al., 2018</xref>; <xref ref-type="bibr" rid="B1">Antropov et al., 2016</xref>; <xref ref-type="bibr" rid="B42">Mermoz et al., 2021</xref>; <xref ref-type="bibr" rid="B71">Ygorra et al., 2021</xref>; <xref ref-type="bibr" rid="B54">Reiche et al., 2021</xref>; <xref ref-type="bibr" rid="B51">Reiche et al., 2015</xref>; <xref ref-type="bibr" rid="B2">Aquino et al., 2022</xref>; <xref ref-type="bibr" rid="B43">Nolan, 2022</xref>; <xref ref-type="bibr" rid="B10">Bullock et al., 2022</xref>). For that purpose, the main methodological approach consists of detecting changes in the temporal radar signal of a forest canopy. <xref ref-type="bibr" rid="B1">Antropov et al. (2016)</xref> focused on the variations in the local standard deviation of VV and VH backscatter change. <xref ref-type="bibr" rid="B51">Reiche et al. (2015</xref>, <xref ref-type="bibr" rid="B54">2021)</xref> developed an anomaly-detection method based on Bayesian update theory using VV polarization. Another methodological line consists in detecting the appearance of radar shadows (i.e., dark areas in radar images where the signal is blocked by tall objects) between intact and disturbed forest edges using a radar change ratio (<xref ref-type="bibr" rid="B8">Bouvet et al., 2018</xref>; <xref ref-type="bibr" rid="B42">Mermoz et al., 2021</xref>; <xref ref-type="bibr" rid="B11">Carstairs et al., 2022</xref>). For instance, <xref ref-type="bibr" rid="B42">Mermoz et al. (2021)</xref> computed a radar change ratio and compared its average value across the three last acquisitions against its historical baseline to detect changes. The present state of the art in forest monitoring tools based on S-1 time series allows mapping canopy gaps of sufficient individual size in nearly real time. Notably, the RAdar for Detecting Deforestation (RADD) system provides weekly alerts over most of the humid tropical forests for impacted areas larger than 0.1&#xa0;ha (i.e. 1000&#xa0;m<sup>2</sup> or <inline-formula id="inf3">
<mml:math id="m3">
<mml:mrow>
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</inline-formula> m). This fits to the detection of most deforestation spots linked to agriculture, mining or infrastructures.</p>
<p>To date, the detection of tree fall gaps, along with other small-sized forest disturbances <inline-formula id="inf4">
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</inline-formula>&#xa0;ha, that underlies forest degradation remains a major challenge (<xref ref-type="bibr" rid="B20">Dupuis, 2023</xref>; <xref ref-type="bibr" rid="B2">Aquino et al., 2022</xref>; <xref ref-type="bibr" rid="B11">Carstairs et al., 2022</xref>). Specifically, informal and artisanal logging calls for adequate methods to be monitored with sufficient spatiotemporal accuracy to detect developing degradation fronts. Whatever the type of logging, maps of small-sized forest disturbances are essential to ensure compliance with forestry regulations and help in assessing and comparing the environmental impacts of the different kinds of logging, as to drive them towards the most sustainable approaches. Mapping of accurate forest disturbance dates is also crucial for monitoring sustainability criteria. For example, accurate dates could help control the legality of logging activities, which should occur during dry seasons to reduce soil damage (<xref ref-type="bibr" rid="B47">Putz and Pinard, 1993</xref>). In Central Africa, most forests already impacted by either RIL or informal logging remain mapped as &#x2018;intact&#x2019; on currently available global products such as RADD alerts (<xref ref-type="bibr" rid="B54">Reiche et al., 2021</xref>), the TMF annual changes data (<xref ref-type="bibr" rid="B66">Vancutsem et al., 2020</xref>) and the Global Land Analysis &#x26; Discovery data (<xref ref-type="bibr" rid="B46">Potapov et al., 2020</xref>). In a FSC area in Peru, <xref ref-type="bibr" rid="B2">Aquino et al. (2002)</xref> have shown that RADD alerts were able to detect clear cuts (i.e., roads and log landing places), but missed the majority of the small-scale disturbances corresponding to selective felling, resulting in only 2% of logging disturbances detected. Most felling gaps are indeed far smaller than 0.1&#xa0;ha in FSC and artisanal logging areas. The Cumulative Sum (CuSum) method has been introduced for detecting small-sized forest disturbances <inline-formula id="inf5">
<mml:math id="m5">
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</inline-formula>&#xa0;ha (<xref ref-type="bibr" rid="B2">Aquino et al., 2022</xref>). These authors demonstrated that the CuSum outperformed the RADD system for the detection of small-sized forest disturbances (<inline-formula id="inf6">
<mml:math id="m6">
<mml:mrow>
<mml:mo>&#x3c;</mml:mo>
<mml:mn>0.1</mml:mn>
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</inline-formula>&#xa0;ha) in dense tropical forests, and yielded high detection probability (78% in Gabon and 65% in Peru). However, while the CuSum method was validated on relatively small areas compared to the scale of tropical forest concessions, no evaluation was carried out concerning its ability to accurately detect the timing of tree felling events. Overall, monitoring small-sized forest disturbances is a technical challenge that is crucial for environmental conservation and sustainable forest management.</p>
<p>In the present study, we revisit the state of the art about using S-1 time series to detect small-sized canopy disturbances (i.e.,<inline-formula id="inf7">
<mml:math id="m7">
<mml:mrow>
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</mml:mrow>
</mml:math>
</inline-formula>&#xa0;ha) and estimate disturbance dates, by introducing a new method and by taking opportunity of an exceptionally large dataset from different parts of the Congo basin (in three countries). The dataset entails both an exhaustive assessment of canopy disturbances from UAV-borne diachronic canopy altimetry (over 374&#xa0;ha) and exhaustive censuses of felled-trees locations and dates for 23,759 tree felling events (in five FSC logging sites). In addition to extensive ground truth datasets collated by FSC-certified companies as part of their regulatory duty, the present study makes the first ever foray concerning felling gaps from artisanal logging, thanks to a dedicated field sampling. Our new method, hereafter referred to as Fused-Lasso Change Detection (FLCD) is built on fused-lasso regressions, a model-based approach demonstrating high potential in several fields, such as meteorology (<xref ref-type="bibr" rid="B35">Jeon et al., 2016</xref>) and signal regularization (<xref ref-type="bibr" rid="B7">Banerjee, 2022</xref>) by providing piecewise constant solutions (<xref ref-type="bibr" rid="B64">Tibshirani et al., 2005</xref>). Because the main trend of C-band SAR time series is expected to be roughly constant over time for intact forest canopies (<xref ref-type="bibr" rid="B70">Woodhouse et al., 1999</xref>), the fused-lasso method is hypothesized to be adequate for modeling abrupt change due to punctual disturbances in otherwise stable signal. The stationarity of the signal before and after disturbance is also a key assumption of the CuSum method (<xref ref-type="bibr" rid="B2">Aquino et al., 2022</xref>). On this basis, we address the following research questions:<list list-type="bullet">
<list-item>
<p>Can FLCD improve the detection of small-sized canopy disturbances in terms of dating accuracy and detection rates for both confirmed and unconfirmed events, and how does it compare to CuSum?</p>
</list-item>
<list-item>
<p>How does the size of individual disturbances affect the detection accuracy and precision of both methods, and to what extent is this influenced by the inherent limitations of S-1 data?</p>
</list-item>
</list>
</p>
<p>Both FLCD and CuSum were relevant for mapping forest disturbances smaller than the state of the art (i.e., <inline-formula id="inf8">
<mml:math id="m8">
<mml:mrow>
<mml:mo>&#x3c;</mml:mo>
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</inline-formula>&#xa0;ha), with CuSum slightly better at detecting disturbances and FLCD providing more accurate estimates of tree-felling dates. These complementary methods capture different aspects of forest degradation and offer a practical framework for monitoring small-scale disturbances in tropical forests on an annual basis, introducing new approaches for FSC and RIL logging monitoring and enabling the early detection of advancing degradation fronts in tropical landscapes that often precede deforestation.</p>
</sec>
<sec sec-type="materials|methods" id="s2">
<label>2</label>
<title>Materials and methods</title>
<sec id="s2-1">
<label>2.1</label>
<title>Study areas</title>
<p>The study was carried out in five sites (experiencing either FSC industrial or artisanal logging) located in three countries across the Congo Basin: the Republic of the Congo, the Democratic Republic of the Congo and Cameroon (see <xref ref-type="fig" rid="F1">Figure 1</xref>). In all sites, two dry seasons (June - August and December - February) alternate with two wet seasons (March-May and September-November) during the year (<xref ref-type="bibr" rid="B13">Creese et al., 2019</xref>).</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>Location of the logging gap samples in the five study areas: dzg, min, kab, mbe and yan correspond to Dzeng, Mindourou, Kabo, Mbeti and Yanonge sites, respectively. The &#x201c;mbe&#x201d; panel shows the area covered by the UAV acquisitions. Sources: RGB basemap is a PlanetScope Tropical Normalized Analytic Biannual Archive from December 2019 (Planet Team, 2017) and administrative boundaries are from the Central African Forest Observatory (<ext-link ext-link-type="uri" xlink:href="https://www.obsersurfacesandvatoire-comifac.net/">https://www.obsersurfacesandvatoire-comifac.net/</ext-link>).</p>
</caption>
<graphic xlink:href="frsen-07-1659305-g001.tif">
<alt-text content-type="machine-generated">Composite map and satellite imagery display logging gap sampling sites across Central Africa, including locations in Cameroon, Gabon, Republic of the Congo, and Democratic Republic of the Congo. Five specific areas (dzg, min, kab, mbe, yan) are shown with individual sample points and point density overlays indicating logging intensity by year in 2018, 2019, 2021, and 2022. A legend explains individual points, density colors, UAV acquisition boundaries, and year annotations. An inset maps Africa for regional reference.</alt-text>
</graphic>
</fig>
<p>The two studies areas experiencing industrial logging are named Kabo (Kab, 2&#xb0;34&#x2032;N,17&#xb0;08&#x2032;E) and Mbeti (Mbe, 1&#xb0;98&#x2032;N,16&#xb0;02&#x2032;E) and are located in the northern part of the Republic of the Congo (see <xref ref-type="fig" rid="F1">Figure 1</xref>) in a semi-deciduous tropical forest dominated by medium wood density tree species (<xref ref-type="bibr" rid="B55">R&#xe9;jou-M&#xe9;chain et al., 2021</xref>). They cover 2,953&#xa0;km<sup>2</sup> and 5,650&#xa0;km<sup>2</sup>, respectively, and are exploited by a company named &#x201c;Congolaise Industrielle des Bois&#x201d; (CIB-Olam Concession), certified by the Forest Stewardship Council (FSC). The mean annual temperature at both sites is 25&#xa0;&#xb0;C and the mean annual precipitation is around 1,600&#xa0;mm (<xref ref-type="bibr" rid="B41">Loubota Panzou et al., 2018</xref>). According to the overall inventory of forest stands in forest management units encompassing the two study areas, the average tree density was about 350 trees per ha, while basal area and above ground biomass were of 28&#xa0;m<sup>2</sup>/ha and 433&#xa0;Mg/ha, respectively (<xref ref-type="bibr" rid="B23">Forni et al., 2019</xref>; <xref ref-type="bibr" rid="B27">Gourlet-Fleury et al., 2023</xref>).</p>
<p>The three study areas subjected to artisanal logging are named Yanonge (Yan, 0&#xb0;49&#x2032;N,24&#xb0;7&#x2032;E), in the Democratic Republic of the Congo, Mindourou (Min, 3&#xb0;50N, 13&#xb0;44E) and Dzeng (Dzg, 3&#xb0;7&#x2032;N, 11&#xb0;82&#x2032;E) in Cameroon and cover 155, 106 and 357&#xa0;km<sup>2</sup>, respectively (see <xref ref-type="fig" rid="F1">Figure 1</xref>). The Yan and Min sites are located in a semi-deciduous evergreen transition forest (<xref ref-type="bibr" rid="B55">R&#xe9;jou-M&#xe9;chain et al., 2021</xref>). The Dzg site is located in a degraded semi-deciduous forest (<xref ref-type="bibr" rid="B55">R&#xe9;jou-M&#xe9;chain et al., 2021</xref>). The mean annual temperature is around 25, 23 and 23&#xa0;&#xb0;C in Yan, Min and Dzg respectively and the mean annual precipitation is around 1,800, 1,500 and 1700&#xa0;mm respectively (<ext-link ext-link-type="uri" xlink:href="http://climate-data.org">climate-data.org</ext-link>).</p>
</sec>
<sec id="s2-2">
<label>2.2</label>
<title>UAV-derived binary forest disturbance map</title>
<p>Over the site of Mbe (Republic of the Congo), we had access to a detailed 3D representation of canopy disturbances thanks to repeated UAV surveys. Two main data sources were used and combined: stereophotogrammetry and LiDAR. RGB imagery data were acquired on 2018-06-18 and 2019-04-05 using a Ebee Sensefly fixed wing UAV. Stereophotogrammetric processing was performed using Pix4D software. Digital Surface Models were produced at a 0.1&#xa0;m resolution. LiDAR acquisition was performed on 2020-02-13 using a Surveyor Ultra (Yellowscan) LiDAR sensor. The system comprises a VLP32 scanner (Velodyne) and an Applanix 15 IMU. The scanner was carried onboard a DJI Matrice 600 UAV with scanning direction perpendicular to flight direction, at a flight altitude of <inline-formula id="inf9">
<mml:math id="m9">
<mml:mrow>
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<mml:mn>70</mml:mn>
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</mml:mrow>
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</inline-formula> above ground level (following SRTM DTM) and a flight speed of 15&#xa0;m <inline-formula id="inf10">
<mml:math id="m10">
<mml:mrow>
<mml:msup>
<mml:mrow>
<mml:mtext>s</mml:mtext>
</mml:mrow>
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<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula>. An interline distance of 80&#xa0;m was chosen to achieve <inline-formula id="inf11">
<mml:math id="m11">
<mml:mrow>
<mml:mo>&#x223c;</mml:mo>
<mml:mn>50</mml:mn>
<mml:mtext>&#x2009;%</mml:mtext>
</mml:mrow>
</mml:math>
</inline-formula> overlap at less than 45&#xb0; incidence angle at actual ground level (which is below the SRTM altitude in a dense canopy). Differential correction of flight trajectories was achieved using an Emlid Reach RS2 GNSS base station on a point of location determined using a Precise Point Positioning approach using a full day of acquisition data. Post Processing Kinematic adjustment and optimisation of the trajectories was performed using the Applanix PosPac UAV software (v. 8.5). Las point clouds were exported using CloudStation software (Yellowscan) on the basis of the optimized trajectories and sensor calibrated geometry. A digital surface model (DSM) was derived at 0.6&#xa0;m horizontal resolution using the Lastools software function lasgrid, with the -max option. The description of the LiDAR acquisitions are detailed in <xref ref-type="bibr" rid="B36">Ka&#xe7;amak et al. (2022)</xref>.</p>
<p>The total overlap area between the three surveyed dates was <inline-formula id="inf12">
<mml:math id="m12">
<mml:mrow>
<mml:mo>&#x223c;</mml:mo>
<mml:mn>374</mml:mn>
<mml:mtext>ha</mml:mtext>
</mml:mrow>
</mml:math>
</inline-formula>. To ensure perfect spatial adjustment, a global and local adjustment was performed using the Arosics software (<xref ref-type="bibr" rid="B57">Scheffler et al., 2017</xref>) using the LiDAR coverage as reference. Two binary maps of small-sized forest disturbance/non disturbance were derived from the three resulting DSM. Disturbed pixels were defined as a decrease in tree canopy equal or higher than 10&#xa0;m between 2019-2018 and 2019-2020. To compute the 2019-2020 disturbances, the DSM of 2019 was resampled to the spatial resolution of the 2020 DSM (0.6&#xa0;m). Some pixels were classified as disturbed because of very slight spatial shifts between the DSMs. Therefore, a morphological opening operation was applied using the Binary Morphological Operation algorithm from OTB (<xref ref-type="bibr" rid="B28">Grizonnet et al., 2017</xref>). An erosion operation was used to remove disturbance patches smaller than 2&#xa0;m, followed by a dilation of 2&#xa0;m to restore the size of the remaining disturbances. Despite the differences in sensitivity to forest cover between LiDAR and stereophotogrammetry data (<xref ref-type="bibr" rid="B25">Goodbody et al., 2019</xref>), the use of the DSM instead of points clouds and the removal of very small detections avoid biased in UAV-derived binary forest disturbance maps. The UAV-derived binary forest disturbance maps were finally resampled to 1&#xa0;m resolution to limit time-computing.</p>
<p>FLCD and CuSum were trained on the UAV-covered footprint and validated on the remaining Mbe area and on the five other study sites using independent GPS-based datasets. The UAV-derived binary disturbance map is available only for the Mbe site, which limits its representativeness across the full range of forest types considered in this study. However, Mbe and Kab share comparable forest types and climatic conditions, so this limitation is expected to have a limited impact on method performance in FSC-certified sites, while potentially affecting performance in the three artisanal logging sites (see <xref ref-type="sec" rid="s2-1">Section 2.1</xref>).</p>
<p>Several sources of uncertainty are inherent to UAV-based canopy disturbance mapping. Time intervals between acquisitions (2018&#x2013;2019 and 2019&#x2013;2020) do not allow precise dating of individual tree-felling events. DSMs derived from RGB stereophotogrammetry can also be affected by illumination conditions, cloud shadows and variations in light diffusion within the canopy, introducing local height estimation errors. These effects were mitigated by focusing on large canopy height losses (<inline-formula id="inf13">
<mml:math id="m13">
<mml:mrow>
<mml:mo>&#x2265;</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula>10&#xa0;m) and the UAV acquisitions were all performed under clear weather conditions.</p>
</sec>
<sec id="s2-3">
<label>2.3</label>
<title>GPS locations of felled trees</title>
<p>This dataset includes coordinates (EPSG: 4,326) of felled trees and associated felling date recorded in FSC (Mbe and Kab) and artisanal logging areas (Yan, Dzg, and Min).</p>
<p>Contrary to the previous dataset, spatial extents of disturbances were not available. Only the location of the felled trees stumps were provided and analyzed.</p>
<sec id="s2-3-1">
<label>2.3.1</label>
<title>FSC industrial logging</title>
<p>The GPS points were provided by the CIB-Olam operating in the Republic of the Congo. The FSC data include 6,561, 6,520 and 3,663 GPS points at the Mbe study area collected during annual campaigns in 2018, 2019 and 2021, respectively. In Kab, 3,779 and 3,279 GPS points of felled trees were collected during annual campaigns in 2021 and 2022, respectively. Dates of felling associated with the locations are accurate to the day. The locations of the trees were collected during the pre-felling inventory. In 2018 and 2019, the locations were determined relative to a regular 50&#xa0;m grid materialized by sticks on the site. Since 2021, GPS points have been recorded using smartphones at the base of trees with an accuracy ranging from 20 to 25&#xa0;m. Since uncertainty on GPS position is equal or above the S-1 genuine resolution of <inline-formula id="inf14">
<mml:math id="m14">
<mml:mrow>
<mml:mn>20</mml:mn>
<mml:mo>&#xd7;</mml:mo>
<mml:mn>22</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula> m, reference polygons from the GPS points were computed by applying a buffer area of 20&#xa0;m.</p>
</sec>
<sec id="s2-3-2">
<label>2.3.2</label>
<title>Artisanal logging</title>
<p>We conducted field surveys of artisanal logging sites in June 2021 and March 2022 in the Democratic Republic of the Congo and in November 2021 in Cameroon. The logging gaps locations were recorded in the middle of the felling gap with a GPS Garmin 60CXS (accuracy ranging from 3 to 10&#xa0;m). The loggers provided the cutting dates accurate to the month. As these dates were based on retrospective declarations and were therefore subject to uncertainty, they were independently confirmed or corrected by visualizing the basemap series &#x201c;PS Tropical Normalized Analytic Monthly&#x201d; at a 4.77-m resolution from PLANET Explorer (Planet Team, 2017). Given that this study aims to assess both detection and timing accuracy, only disturbances with independently verifiable dates were included. When no canopy disturbance could be visually identified in the PLANET imagery, the corresponding logging gap was excluded from the validation dataset due to temporal uncertainty. Most excluded gaps corresponded to events reported as the oldest by the operators (2018&#x2013;2020). In total, 22, 35 and 31 logging gaps dating from 2021 were selected from the field surveys conducted in Yan, Min and Dzg, respectively.</p>
</sec>
</sec>
<sec id="s2-4">
<label>2.4</label>
<title>Sentinel-1 SAR time series</title>
<p>Over the five study areas, S-1 C-band (5.405&#xa0;GHz) time series were acquired between 2018 and 2022 (Mbe: 2018-2019 and 2021, Kab: 2021-2022, Yan: 2021, Dzg: 2021 and Min: 2021). The images were downloaded in Interferometric WideSwath (IW) mode, corresponding to a resolution of <inline-formula id="inf15">
<mml:math id="m15">
<mml:mrow>
<mml:mn>20</mml:mn>
<mml:mo>&#xd7;</mml:mo>
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</mml:mrow>
</mml:math>
</inline-formula>m (rg<inline-formula id="inf16">
<mml:math id="m16">
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</inline-formula>az), a pixel spacing of <inline-formula id="inf17">
<mml:math id="m17">
<mml:mrow>
<mml:mn>10</mml:mn>
<mml:mo>&#xd7;</mml:mo>
<mml:mn>10</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula>m (rg<inline-formula id="inf18">
<mml:math id="m18">
<mml:mrow>
<mml:mo>&#xd7;</mml:mo>
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</inline-formula>az) and a swath of 250&#xa0;km. The revisit frequency of the S-1 constellation is 12&#xa0;days in Central Africa, increasing to 24&#xa0;days from December 2021 onward due to the loss of data transmission from the S-1B satellite. This may reduce sensitivity to very short-term disturbances and affect the temporal accuracy of detection. However, logging gaps persist for several months to years before canopy closure, as shown by previous studies in Amazonia (<xref ref-type="bibr" rid="B4">Asner et al., 2004</xref>), which limits the impact of this longer revisit interval on disturbance detection. The Level-1 Ground Range Detected (GRD) products were used, which are multilook intensity (5 and 1 looks according to slant range and azimuthal direction, respectively) projected to a ground range based on an Earth ellipsoid model. Since the S-1 satellite can only map our study areas in a single pass, images were acquired in descending mode for the study areas located in the Republic of the Congo and the Democratic Republic of the Congo (Mbe, Kab, Yan) and in ascending mode for the study areas located in Cameroon (Dzg, Min). All available images were downloaded from Google Earth Engine (GEE) &#x201c;COPERNICUS/S1_GRD&#x201d; collection using the open python code (<ext-link ext-link-type="uri" xlink:href="https://github.com/chiaquino/S1_CuSum">https://github.com/chiaquino/S1_CuSum</ext-link>) provided by <xref ref-type="bibr" rid="B2">Aquino et al. (2022)</xref>. For each observed year, the time series started 12 months before the year and ended 6&#xa0;months after the observed year, e.g., for the year 2019, the time series extended from 2018-01-01 to 2020-06-01. Disturbance detection requires a post-disturbance series of 6&#xa0;months for optimal results (<xref ref-type="sec" rid="s11">Supplementary Appendix S5.1</xref>). Pre-processing already done on GEE &#x201c;COPERNICUS/S1_GRD&#x201d; collection includes thermal noise removal, radiometric calibration and terrain correction. Speckle filtering was not applied to either FLCD or CuSum. <xref ref-type="bibr" rid="B2">Aquino et al. (2022)</xref> showed that speckle filtering degraded the detection accuracy of CuSum. Similarly, internal analyses conducted for FLCD using Boxcar, Refined Lee, Lee, and Lee Sigma filters led to a slight increase in recall, but substantially reduced precision and increased false detections. Spatial filtering may alter the pixel backscatter signal, which is critical for detection of very small canopy gaps, while the lasso regression inherently accounts for noise. The python code from <xref ref-type="bibr" rid="B2">Aquino et al. (2022)</xref> further performs sigma nought to gamma nought <inline-formula id="inf19">
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</sec>
<sec id="s2-5">
<label>2.5</label>
<title>Fused-lasso change detection method (FLCD)</title>
<p>The FLCD method aims at producing a binary map featuring small-sized forest disturbances (associated with magnitude values), while putting emphasis of disturbance date assessment. <xref ref-type="fig" rid="F2">Figure 2</xref> illustrates the workflow implemented in this study. The <xref ref-type="table" rid="T1">Table 1</xref> indicates the use of each dataset in the workflow.</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>Workflow implemented in this study. Calibrating and validating the FLCD method using UAV-derived forest disturbance data, followed by validation in FSC and artisanal study areas.</p>
</caption>
<graphic xlink:href="frsen-07-1659305-g002.tif">
<alt-text content-type="machine-generated">Flowchart illustrating the process of using Sentinel-1 SAR time series and UAV-derived binary forest disturbance maps for FLCD training and classification on various forest areas, followed by accuracy assessment using GPS logging gap points and evaluation metrics, concluding with a comparison to CuSum.</alt-text>
</graphic>
</fig>
<table-wrap id="T1" position="float">
<label>TABLE 1</label>
<caption>
<p>Datasets used in this study with their corresponding study area, logging type and year, data type, partition and number of samples. The sites correspond to Yanonge (Yan), in the Democratic Republic of the Congo, Mindourou (Min,) and Dzeng (Dzg) in Cameroon, and Kabo (Kab) and Mbeti (Mbe) in the Republic of the Congo. The logging type is Forest Stewardship Council certified (FSC) or artisanal logging.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">Dataset name</th>
<th align="center">Study area</th>
<th align="center">Logging type</th>
<th align="center">Logging year</th>
<th align="center">Dataset type</th>
<th align="center">Partition</th>
<th align="center">Number of samples</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">2018-2019 UAV-derived<break/>Binary forest disturbance map</td>
<td align="left">Mbe</td>
<td align="left">FSC</td>
<td align="right">2018</td>
<td align="left">Raster</td>
<td align="left">Traning</td>
<td align="right">-</td>
</tr>
<tr>
<td align="left">2019-2020 UAV-derived<break/>Binary forest disturbance map</td>
<td align="left">Mbe</td>
<td align="left">-</td>
<td align="right">no logging</td>
<td align="left">Raster</td>
<td align="left">Validation</td>
<td align="right">-</td>
</tr>
<tr>
<td align="left">GPS points in Mbe 2018</td>
<td align="left">Mbe</td>
<td align="left">FSC</td>
<td align="right">2018</td>
<td align="left">GPS points</td>
<td align="left">Validation</td>
<td align="right">6,433</td>
</tr>
<tr>
<td align="left">GPS points in Mbe 2019</td>
<td align="left">Mbe</td>
<td align="left">FSC</td>
<td align="right">2019</td>
<td align="left">GPS points</td>
<td align="left">Validation</td>
<td align="right">6,520</td>
</tr>
<tr>
<td align="left">GPS points in Mbe 2021</td>
<td align="left">Mbe</td>
<td align="left">FSC</td>
<td align="right">2021</td>
<td align="left">GPS points</td>
<td align="left">Validation</td>
<td align="right">3,663</td>
</tr>
<tr>
<td align="left">GPS points in Kab 2021</td>
<td align="left">Kab</td>
<td align="left">FSC</td>
<td align="right">2021</td>
<td align="left">GPS points</td>
<td align="left">Validation</td>
<td align="right">3,779</td>
</tr>
<tr>
<td align="left">GPS points in Kab 2022</td>
<td align="left">Kab</td>
<td align="left">FSC</td>
<td align="right">2022</td>
<td align="left">GPS points</td>
<td align="left">Validation</td>
<td align="right">3,279</td>
</tr>
<tr>
<td align="left">GPS points in Dzg 2021</td>
<td align="left">Dzg</td>
<td align="left">Artisanal</td>
<td align="right">2021</td>
<td align="left">GPS points</td>
<td align="left">Validation</td>
<td align="right">35</td>
</tr>
<tr>
<td align="left">GPS points in Min 2021</td>
<td align="left">Min</td>
<td align="left">Artisanal</td>
<td align="right">2021</td>
<td align="left">GPS points</td>
<td align="left">Validation</td>
<td align="right">28</td>
</tr>
<tr>
<td align="left">GPS points in Yan 2021</td>
<td align="left">Yan</td>
<td align="left">Artisanal</td>
<td align="right">2021</td>
<td align="left">GPS points</td>
<td align="left">Validation</td>
<td align="right">22</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>To produce maps of small-sized forest disturbances from the S-1 SAR time series, we developed a method we call Fused-Lasso Change Detection (FLCD). <xref ref-type="fig" rid="F3">Figure 3</xref> describes the main steps (detailed below) of the FLCD method. First, fused-lasso regressions are computed on pixelwise S-1 time series. Secondly, iterative local differences between successive lasso-smoothed values and corresponding sliding sums are applied to highlight signal decreases. Finally, a post-classification step (spatio-temporal filtering) based on the disturbance dates is applied to reduce false detections.</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>Operation flow for the Fused-Lasso Change Detection method. Grey rectangles on the right hand panel highlight the period monitored by UAV. Sentinel-1 images were downloaded and preprocessed to extract gamma nought from the VV polarization. Then, the fused lasso change detection method was performed on each pixel to produce maps of forest disturbance dates and disturbance magnitude. This included the following steps: 1) fitting fused lasso regressions on the temporal signature, 2) computing iterative differences 3) performing a 3-month sliding sum on the results 4) classifying pixels as disturbed based on a detection threshold corresponding to the 0.01th percentile of the negative sliding sum values on the image. Finally a post-classification step consisting of spatio-temporal filtering was applied.</p>
</caption>
<graphic xlink:href="frsen-07-1659305-g003.tif">
<alt-text content-type="machine-generated">Flowchart illustrating the forest disturbance detection process using Sentinel-1 images, starting with preprocessing, applying a fusion-lasso change detection method, extracting disturbance dates and magnitude, post-classification, and outputting forest disturbance dates and magnitude maps. An enlarged section details sequential steps: extracting temporal signatures, running fusion-lasso regressions, calculating iterative differences and sliding sums, and applying a detection threshold, with corresponding graphs showing &#x3B3;0VV data across dates.</alt-text>
</graphic>
</fig>
<sec id="s2-5-1">
<label>2.5.1</label>
<title>Fused-lasso regressions</title>
<p>The lasso (<xref ref-type="bibr" rid="B63">Tibshirani, 1996</xref>) has been widely used for selection and dimension reduction purposes in many applied fields. It consists of penalizing least squares regression by the sum of the absolute values of the coefficients (L-1 norm). This penalty shrinks toward zero parameters with small effects and thus favors sparse solutions. However, lasso does not consider underlying structures within series such as temporal order. The fused-lasso method (<xref ref-type="bibr" rid="B64">Tibshirani et al., 2005</xref>) was developed to overcome such limitations by penalizing the L-1 norm of coefficient successive differences (<xref ref-type="bibr" rid="B7">Banerjee, 2022</xref>):<disp-formula id="equ1">
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<p>Fused-lasso produces trend estimates that are piecewise linear and appeared relevant for the analysis of temporal signals with an underlying piecewise linear trend, changes in slope and abrupt changes.</p>
<p>To implement the fused-lasso method, we used the &#x201c;fusedlasso1d&#x201d;, &#x201c;cv.trendfiler&#x201d; and &#x201c;softthresh&#x201d; functions from the &#x201c;genlasso&#x201d; R package (<xref ref-type="bibr" rid="B3">Arnold et al., 2022</xref>). The gamma value was set to 0 and the lambda value was determined by cross-validation according to the one standard error rule for each pixel. The lambda parameter controls the strength of the penalty on differences between consecutive coefficients, and therefore manages the smoothness of the lasso solution. In practice, high lambda values lead to stronger temporal smoothing in the fused lasso regression, whereas smaller lambda values produce more flexible solutions with frequent local variations leading to overdetection. Although it would have been possible to fix a single lambda for the entire study area, allowing it to vary per pixel improved precision.</p>
</sec>
<sec id="s2-5-2">
<label>2.5.2</label>
<title>From fused-lasso to mapping of small-sized canopy disturbances</title>
<p>For each S-1 pixel, we extracted the <inline-formula id="inf30">
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<p>For a given pixel, the actual disturbance date was defined as the first date the pixel was classified as disturbed in the time series. In addition, we defined and computed a &#x201c;disturbance magnitude value&#x201d; for each disturbed pixel based on VV backscatter values in decibels. Let us define <inline-formula id="inf31">
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</disp-formula>where <inline-formula id="inf37">
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</inline-formula> the gamma nought values for VV polarization.</p>
</sec>
<sec id="s2-5-3">
<label>2.5.3</label>
<title>Post-classification spatial analysis</title>
<p>We applied a final post-classification process aimed at decreasing false detections by conducting a spatio-temporal analysis from the forest disturbance dates map. Because the detection threshold is defined using the distribution of negative sliding sum values over the entire image, a small number of individual pixels may be classified as disturbed even in intact forest areas. These false positives are typically linked to SAR signal noise that tend to be spatially isolated. To address this issue, detected pixels that did not exhibit spatial contiguity with at least one neighboring pixel detected as disturbed within a 15-day time interval were removed. Spatial contiguity was defined at the S-1 pixel spacing (10&#xa0;m), and isolated single-pixel detections were excluded. This spatial filtering strategy was optimized using UAV-derived disturbance maps as ground truth. Therefore, the present implementation of the FLCD method cannot detect disturbances smaller than two adjacent 10&#xa0;m pixels (i.e., 0.02&#xa0;ha), unless such disturbances induce a strong enough decrease in the S-1 signal over both pixels, which remains possible given its effective spatial resolution (<inline-formula id="inf41">
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</inline-formula> 22&#xa0;m). Real disturbances not influencing more than one S-1 pixel (i.e., spatially isolated) may exist, notably, when relating to natural disturbances including branch falls or for small felling gaps. As a result, the method is designed to focus on detecting real canopy gaps, even if this implies missing small or isolated disturbances.</p>
</sec>
</sec>
<sec id="s2-6">
<label>2.6</label>
<title>Training on the 2018-2019 UAV-derived binary forest disturbance map</title>
<p>The FLCD parameters (sliding period size for the sliding sum, detection threshold and exclusion patch size) were calibrated using the UAV-derived binary forest disturbance map (over 374&#xa0;ha) for the 2018-2019 period in Mbe, the Republic of the Congo (see <xref ref-type="sec" rid="s11">Supplementary Appendix S5.2</xref>). A 5-fold cross-validation approach was used to select the two FLCD parameters, namely, the detection threshold and the sliding sum window. Five training and testing datasets were defined within the UAV study area. FLCD were applied to each training and corresponding test dataset. The detection threshold was tested at values of 0.005, 0.01, and 0.015; the sliding window length at 30, 60, 90, and 120 days. For each parameter configuration, the mean performance and confidence intervals were computed across the five train&#x2013;test splits (<xref ref-type="sec" rid="s11">Supplementary Appendix S5.2</xref>).</p>
<p>The reference polygons were rasterized on the basis of the detected disturbance maps grid (10&#xa0;m resolution). Then, we assessed the FLCD classifications computing precision (<xref ref-type="disp-formula" rid="e1">Equation 1</xref>) and recall (<xref ref-type="disp-formula" rid="e2">Equation 2</xref>), which are suitable when focusing on small proportions of positive class, using the following equations.<disp-formula id="e1">
<mml:math id="m45">
<mml:mrow>
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<label>(1)</label>
</disp-formula>
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<mml:math id="m46">
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</mml:math>
<label>(2)</label>
</disp-formula>where TP &#x3d; true positive, FP &#x3d; false positive and FN &#x3d; false negative.</p>
<p>The parameters yielding the best compromise between a high precision and a high recall were selected.</p>
</sec>
<sec id="s2-7">
<label>2.7</label>
<title>Validation on extended areas using GPS points</title>
<p>The trained FLCD method was validated on extensive FSC and artisanal areas using the felled-trees locations dataset. GPS points have two main limitations: they only indicate felled trees without providing data on non-disturbed pixels, and the spatial discrepancies between GPS points taken near stumps and actual canopy disturbances can cause mismatches. Thus, we calculated indicators based on overlapping between reference polygons and disturbed patches instead of a conventional pixel-wise approach, as done by <xref ref-type="bibr" rid="B2">Aquino et al. (2022)</xref>.</p>
<p>FLCD was applied on Mbe 2018-2019, Mbe 2021, Kab 2021, Kab 2020, Yan 2021, Dzg 2021 and Min 2021, resulting in seven binary disturbance maps. Detected disturbed pixels around roads, identified through aerial photographs, were reclassified as undisturbed using a buffer of 30&#xa0;m. All GPS points that overlapped with the train dataset (i.e., UAV-derived binary forest disturbance map in Mbe 2018) were removed. For each forest disturbance map produced, the dates of detected disturbances were filtered to match with the year of GPS data. Reference polygons were computed by applying a buffer area of 20&#xa0;m around the felled trees points. The resulting polygons were used to estimate the Logging gap Detection Rate (LDR) and Unconfirmed Detected Logging gap Rate (UDLR) defined as:<disp-formula id="e3">
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</mml:math>
<label>(3)</label>
</disp-formula>
</p>
<p>Where <inline-formula id="inf43">
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</inline-formula> is the total number of reference polygons, <inline-formula id="inf44">
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</mml:mrow>
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</inline-formula> the number of detected patches and <inline-formula id="inf45">
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</inline-formula> the number of detected patches overlapping reference polygons. In this patch based framework, <inline-formula id="inf46">
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</inline-formula> is equivalent to true positives (TP) and <inline-formula id="inf47">
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</inline-formula> to false positives (FP). The LDR metric is therefore related to TP, whereas the UDLR metric reflects FP. False negatives (FN) and true negatives (TN) have no equivalent metric, as the field measurements do not include information on undisturbed areas. The LDR index answers the question: &#x201c;What is the rate of referenced logging gaps that are correctly detected?&#x201d; whereas the UDLR index answers: &#x201c;What is the rate of detected patches that do not correspond to logging gap events?&#x201c;. This process was implemented using the &#x201c;vectorize&#x201d;, &#x201c;patches&#x201d;, &#x201c;extract&#x201d; and &#x201c;intersect&#x201d; functions from the &#x201c;terra&#x201d; R package (<xref ref-type="bibr" rid="B31">Hijmans et al., 2022</xref>).</p>
<p>Finally, the discrepancy between detected and reference disturbance dates were analyzed. First, GPS reference polygons were rasterized on the basis of the detected disturbance maps grid (10&#xa0;m resolution). The difference between reference and detected dates were computed on the overlapping disturbance pixels. The histogram, median, mean, first and third quartiles were calculated from the differences between dates for each study area.</p>
</sec>
<sec id="s2-8">
<label>2.8</label>
<title>Comparison with the cumulative sum approach</title>
<p>In this study, we developed a new method called FLCD. We compared its performances to that of the CuSum method, which is accessible and of proven effectiveness in detecting small-sized forest disturbances under 0.1&#xa0;ha (i.e., 1,000&#xa0;m<sup>2</sup> or 20 <inline-formula id="inf49">
<mml:math id="m54">
<mml:mrow>
<mml:mo>&#xd7;</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula> 50&#xa0;m). Since the RADD method was previously compared with CuSum (<xref ref-type="bibr" rid="B2">Aquino et al., 2022</xref>), and its minimum mapping unit is 0.1&#xa0;ha, we do not compare it quantitatively with FLCD. <xref ref-type="bibr" rid="B20">Dupuis et al. (2023)</xref> also introduced an effective method for detecting small forest disturbances monthly, but do not aim to accurately predict felling dates. Finally, the study conducted by <xref ref-type="bibr" rid="B11">Carstairs et al. (2022)</xref> exhibits high potential for measuring the extent of forest disturbances at 1&#xa0;ha scale. However, they state that &#x201c;the presence of geolocation errors and false alarms makes this method unsuitable for confirming individual disturbances&#x201d;. Although they found a linear relationship between the detected S-1 shadow and LiDAR-based canopy loss at a scale of 1&#xa0;ha, they do not claim that their method could accurately identify individual disturbances or determine accurate logging dates.</p>
<p>Forest disturbance maps derived from the CuSum approach were computed using the open python code (<ext-link ext-link-type="uri" xlink:href="https://github.com/chiaquino/S1_CuSum">https://github.com/chiaquino/S1_CuSum</ext-link>) provided by <xref ref-type="bibr" rid="B2">Aquino et al. (2022)</xref>. To allow comparisons, both methods were applied to the same S-1 time series following data preprocessing described in <xref ref-type="sec" rid="s2-4">Subsection 2.4</xref>. The CuSum method was also trained using the 2018-2019 UAV-derived binary forest disturbance map in the Republic of the Congo. A k-fold cross validation was used with the same five training and test datasets as FLCD varying the percentile at 95, 96, 97, 98, and 99. On this basis, the detection threshold was set to the 99th percentile of the CuSum maximum distribution (see the <xref ref-type="sec" rid="s11">Supplementary Appendix S5.3</xref> for details). The trained CuSum method was also validated on the extensive FSC and artisanal areas using the GPS point dataset and the 2019-2020 UAV map. Differences in LDR between FLCD and CuSum were assessed using a paired Wilcoxon signed-rank test from the LDR values computed on the height study sites. UDLR was not tested because it could only be computed for FSC-certified sites, resulting in an insufficient sample size for robust testing.</p>
<p>Both FLCD and CuSum share common features, as they rely on S-1 VV-polarized gamma nought SAR time series to detect small-scale canopy disturbances. Methodologically, both approaches identify significant decreases in the radar signal using percentile based detection thresholds and provide estimates of disturbance date and magnitude. FLCD explicitly models the temporal evolution of the SAR signal using fused-lasso regression, whereas CuSum is based on cumulative sums of residuals derived from the SAR signal. Disturbance dates in FLCD are derived from a sliding sum of negative local differences in the fused lasso regression. In contrast, CuSum relies on the maximum cumulative sum relative to the mean temporal signal. Finally, compared to CuSum, FLCD includes an additional post-classification spatiotemporal filtering step to remove isolated false detections.</p>
</sec>
</sec>
<sec sec-type="results" id="s3">
<label>3</label>
<title>Results</title>
<sec id="s3-1">
<label>3.1</label>
<title>Training of the FLCD method on the UAV-covered area</title>
<p>Based on the 5-fold cross-validation approach, the sliding period size for the sliding sum was set to 3&#xa0;months. The detection threshold was set as the 0.01th percentile of the distribution of all negative sliding sum values across the entire image. In other words, disturbances were identified when the summed negative values of the time series for a given pixel were more extreme than 99.99% of the corresponding values across all pixels, indicating significant forest structural change. The exclusion patch size during the post-classification process was set to 0.01&#xa0;ha (i.e., one 10&#xa0;m pixel corresponding to the pixel spacing of S-1). Therefore, the current trained FLCD method cannot reliably detect disturbances smaller than two adjacent 10&#xa0;m pixels (i.e., 0.02&#xa0;ha or 200&#xa0;m<sup>2</sup>). These disturbances may be detectable if, despite their small area, they significantly affect the S-1 signal in both pixels. This is because while the individual pixel spacing of S-1 is 10&#xa0;m, its actual resolution is coarser (<inline-formula id="inf50">
<mml:math id="m55">
<mml:mrow>
<mml:mn>20</mml:mn>
<mml:mo>&#xd7;</mml:mo>
<mml:mn>22</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula> m).</p>
<p>
<xref ref-type="fig" rid="F4">Figure 4</xref> shows the maps produced by the FLCD method with the calibrated parameters over the 2018-2019 UAV-derived binary forest disturbance map. Throughout the monitoring period (June 2018 - April 2019), the trained method reached a precision of 55% and a recall of 23.78% The majority of disturbance detections occurred in December 2018 and January 2019 (see <xref ref-type="fig" rid="F4">Figure 4</xref> Left panel) and corresponded to a 4&#x2013;10&#xa0;dB decrease in the VV signal (i.e., disturbance magnitude, see <xref ref-type="fig" rid="F4">Figure 4</xref> Right panel).</p>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>Results of the FLCD training on 2018-2019 UAV-derived binary forest disturbance map. The study area is located in the Republic of the Congo, on the Mbeti site (Mbe). The parameters of FLCD were calibrated using a 5-fold cross validation strategy. The left panel corresponds to the detected disturbance dates, and the right panel to the disturbance magnitude.</p>
</caption>
<graphic xlink:href="frsen-07-1659305-g004.tif">
<alt-text content-type="machine-generated">Two side-by-side map panels compare forest disturbances in a defined area, with grid coordinates and north arrows for orientation. The left panel shows UAV reference disturbances overlaid with disturbance dates detected by the FLCD method, using a color gradient for three specific dates. The right panel shows UAV reference disturbances and disturbance magnitude detected by the FLCD method, depicted by a color scale representing decibel values from minus ten to minus four. Legends explain the color codes and dates or magnitude values.</alt-text>
</graphic>
</fig>
<p>For illustration purposes, <xref ref-type="fig" rid="F5">Figure 5</xref> shows the temporal behaviors of <inline-formula id="inf51">
<mml:math id="m56">
<mml:mrow>
<mml:msup>
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</inline-formula> VV, fused-lasso regressions and sliding sum values on three classes of pixels with different profiles. The first class corresponds to actually disturbed pixels detected by the FLCD method (true positive rate), the second to undisturbed pixels misclassified as disturbed (false positive rate) and the last one corresponds to undetected real disturbances (false negative rate). When the FLCD method succeeds in detecting the disturbances (true positive rate), the SAR signal is relatively steady before and after the disturbance, which itself materializes as a decrease in the signal of varying time length and magnitude. This corresponds to horizontal fused-lasso regression lines interrupted by neatly decreasing segments. The sliding sum highlights the successive negative decreases. In the case of false positive rates, the FLCD method misclassified pixels as disturbed due to either a weak decrease in the SAR signal nevertheless exceeding the percentile threshold. Finally, the FLCD method failed to detect some disturbances (false negatives) which did not alter the signal stationarity leading to fused-lasso regressions remaining constant all over the series.</p>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption>
<p>Examples of SAR temporal signatures leading to true positive (circle), false positive (square) and false negative (rhombus) detections during the training process. Top panels show the forest disturbances map calculated between 2018-06-18 and 2019-04-05 from the UAV-derived binary forest disturbance maps and the detected dates from the FLCD method. Intermediate panels show the <inline-formula id="inf52">
<mml:math id="m57">
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<mml:mrow>
<mml:mi>&#x3b3;</mml:mi>
</mml:mrow>
<mml:mrow>
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</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula>VV signal (dots) and the corresponding fused-lasso regressions (line). Lower panels show the sliding sum on the first derivatives. The grey band corresponds to the known disturbance period.</p>
</caption>
<graphic xlink:href="frsen-07-1659305-g005.tif">
<alt-text content-type="machine-generated">Composite figure shows two maps of forest disturbances in a region near coordinates two point three seven five degrees north and seventeen point zero seven degrees east, with yellow areas representing UAV reference map disturbances and blue areas showing FLCD method detections. The inset map overlays forest change points and indicates elevation using a grayscale gradient. Below, six line charts compare temporal gamma VV backscatter (dB) and first derivative results over dates from January 2018 through early 2020, categorized as true positive, false positive, or false negative. Legends clarify symbol meanings and color coding.</alt-text>
</graphic>
</fig>
</sec>
<sec id="s3-2">
<label>3.2</label>
<title>Validation of the FLCD method using tree felling locations and dates</title>
<p>The method was validated on the independent datasets made of felled trees locations in the FSC study areas. This led to a LDR of 31.08% (see <xref ref-type="table" rid="T2">Table 2</xref>). The method&#x2019;s effectiveness at detecting logging gaps varied across individual sites, with the LDRs ranging between 24.32% and 37.78% on FSC study areas (<xref ref-type="table" rid="T2">Table 2</xref>) and from 28.57% to 59.09% on the artisanal study areas (see <xref ref-type="sec" rid="s11">Supplementary Appendix S5.6</xref>). The UDLR varies from 31.23% to 66.89% accross the FSC study areas (<xref ref-type="table" rid="T2">Table 2</xref>).</p>
<table-wrap id="T2" position="float">
<label>TABLE 2</label>
<caption>
<p>Validation results of the FLCD and CuSum methods on the FSC study areas. LDR &#x3d; logging gap detection rate, UDLR &#x3d; unconfirmed detected logging gap rate computed from <xref ref-type="disp-formula" rid="e3">Equation 3</xref>. The sites correspond to Kabo (Kab) and Mbeti (Mbe) in the Republic of the Congo.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th rowspan="2" align="center">Study area</th>
<th rowspan="2" align="center">Year</th>
<th rowspan="2" align="left">Nb of test points</th>
<th colspan="2" align="center">LDR</th>
<th colspan="2" align="left">Nb of detected gaps</th>
<th colspan="2" align="right">Nb of unconfirmed gaps</th>
<th colspan="2" align="center">UDLR (%)</th>
</tr>
<tr>
<th align="center">CuSum</th>
<th align="center">FLCD</th>
<th align="center">CuSum</th>
<th align="center">FLCD</th>
<th align="center">CuSum</th>
<th align="center">FLCD</th>
<th align="center">CuSum</th>
<th align="center">FLCD</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">Kab</td>
<td align="right">2021</td>
<td align="right">3,779</td>
<td align="right">30.88</td>
<td align="right">24.32</td>
<td align="right">3,010</td>
<td align="right">2,471</td>
<td align="right">1,464</td>
<td align="right">1,249</td>
<td align="right">48.63</td>
<td align="right">50.55</td>
</tr>
<tr>
<td align="center">Kab</td>
<td align="right">2022</td>
<td align="right">3,279</td>
<td align="right">38.24</td>
<td align="right">27.87</td>
<td align="right">5,554</td>
<td align="right">3,440</td>
<td align="right">3,998</td>
<td align="right">2,301</td>
<td align="right">71.98</td>
<td align="right">66.89</td>
</tr>
<tr>
<td align="center">Mbe</td>
<td align="right">2018</td>
<td align="right">6,433</td>
<td align="right">35.99</td>
<td align="right">30.00</td>
<td align="right">3,660</td>
<td align="right">3,063</td>
<td align="right">1,117</td>
<td align="right">959</td>
<td align="right">31.31</td>
<td align="right">31.96</td>
</tr>
<tr>
<td align="center">Mbe</td>
<td align="right">2019</td>
<td align="right">6,520</td>
<td align="right">40.35</td>
<td align="right">37.78</td>
<td align="right">4,354</td>
<td align="right">4,226</td>
<td align="right">1,628</td>
<td align="right">1,754</td>
<td align="right">37.39</td>
<td align="right">41.50</td>
</tr>
<tr>
<td align="center">Mbe</td>
<td align="right">2021</td>
<td align="right">3,663</td>
<td align="right">31.15</td>
<td align="right">35.35</td>
<td align="right">1,598</td>
<td align="right">1,854</td>
<td align="right">419</td>
<td align="right">579</td>
<td align="right">26.22</td>
<td align="right">31.23</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>The FLCD method was able to estimate accurately and precisely the logging dates on the FSC study areas with the median of differences between real and detected dates ranging from &#x2212;6 to &#x2212;2&#xa0;days depending on the study area (<xref ref-type="fig" rid="F6">Figure 6</xref>). In artisanal study areas, the median was &#x2212;3, &#x2212;6 and &#x2212;20&#xa0;days on Yan, Dzg and Min, respectively.</p>
<fig id="F6" position="float">
<label>FIGURE 6</label>
<caption>
<p>Histograms of differences (in days) between real and detected dates of tree felling for the CuSum (top row) and FLCD (bottom row) methods in the FSC study areas. The sites correspond to Kabo (Kab) and Mbeti (Mbe) in the Republic of the Congo.</p>
</caption>
<graphic xlink:href="frsen-07-1659305-g006.tif">
<alt-text content-type="machine-generated">Grid of ten histograms displaying date difference in days versus count for two methods, CuSum and FLCD, with five datasets each labeled Kab2021, Kab2022, Mbe2018, Mbe2019, and Mbe2021; distributions are centered around zero days.</alt-text>
</graphic>
</fig>
</sec>
<sec id="s3-3">
<label>3.3</label>
<title>Comparison of FLCD to CuSum</title>
<p>From FSC-certified areas, we found that the FLCD method systematically yielded more accurate and precise logging dates than the CuSum approach (see <xref ref-type="fig" rid="F6">Figure 6</xref>). Indeed, distributions of temporal deviations between detected and reference dates across sites were larger with the CuSum than the FLCD method (<xref ref-type="fig" rid="F6">Figure 6</xref>, see the <xref ref-type="sec" rid="s11">Supplementary Appendix S5.6</xref> for descriptive statistics values per study area). Concerning the smaller set of artisanal logging dates (see the <xref ref-type="sec" rid="s11">Supplementary Appendix S5.6</xref>), results were contrasted across sites and fairly homogenous between methods with low bias and high precision on the Yan site (median <inline-formula id="inf53">
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</inline-formula> 90.80 for CuSum and &#x2212;6 <inline-formula id="inf58">
<mml:math id="m63">
<mml:mrow>
<mml:mo>&#xb1;</mml:mo>
</mml:mrow>
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</inline-formula> 102.84 for FLCD) and a high bias on the Min site (median <inline-formula id="inf59">
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<mml:math id="m65">
<mml:mrow>
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</inline-formula> 89.65 for CuSum and &#x2212;178 <inline-formula id="inf61">
<mml:math id="m66">
<mml:mrow>
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</inline-formula> 75.63 for FLCD). Overall, LDR values of CuSum were slightly higher than those of FLCD across the five FSC-certified logging areas (i.e., three in Mbe and two in Kab, see <xref ref-type="table" rid="T2">Table 2</xref>). A similar pattern was observed on artisanal study areas (Dzg, Min, Yan) with CuSum systematically detecting 4 more logging gaps than FLCD (see the <xref ref-type="sec" rid="s11">Supplementary Appendix S5.4</xref>). The paired Wilcoxon test indicated a statistically significant difference in LDR between FLCD and CuSum (V &#x3d; 2, p &#x3d; 0.023). On average, FLCD yielded lower LDR values than CuSum, with a median paired difference of &#x2212;8.45%, indicating that CuSum detected a higher proportion of reference logging gaps. However, the confidence interval (&#x2212;14.29% to &#x2212;1.18%) also highlights the variability in relative performance across study sites. In FSC study areas, the number of unconfirmed logging gaps was overall high and higher for the Cusum than the FLCD method in three sites above five (see <xref ref-type="table" rid="T2">Table 2</xref>) ranging from 419 to 3,998 unconfirmed gaps for CuSum against 579 to 2,301 over-detected patches for FLCD. During the first UAV-covered period (2018&#x2013;2019), which coincided with logging activities (n &#x3d; 341 reference patches), UDLR were 10.61% and 9.52% for CuSum and FLCD, respectively. In the second period (2019&#x2013;2020), when no logging occurred, the UAV map showed three disturbance patches likely caused by natural tree falls. During this period, CuSum and FLCD produced 17 and 61 false positives, respectively, with no overlap with the three reference patches.</p>
<p>From the UAV-covered reference area it was possible to analyze the detection rates in relation to the gap sizes (bearing in mind that this area was used for calibrating the two methods). Both methods agrees in displaying a sharp increase of true detections with gap size assessed from diachronic LiDAR (see <xref ref-type="table" rid="T3">Table 3</xref>). The detection rate was c. 49% for gap sizes of 0.02&#xa0;ha and went above this value for larger gaps. It reached 71% and 90% for patches equal or higher than 0.05 and 0.20&#xa0;ha, respectively The overlaps between detected and assessed patches also increased, albeit to a lesser extent, with FLCD yielding slightly higher overlap values. The results also highlighted that the gap size frequency distribution is overall skewed towards very small gaps with only 35% of LiDAR-assessed gaps equal or over 0.02&#xa0;ha, and 9% equal or above 0.05&#xa0;ha.</p>
<table-wrap id="T3" position="float">
<label>TABLE 3</label>
<caption>
<p>Validation of CuSum and FLCD according to minimum cluster size on the 2018&#x2013;2019 UAV reference maps. &#x201c;Minimum cluster size&#x201d; is the minimum size of the UAV reference patches used for validation. &#x201c;Nb of test patches&#x201d; is the total number of reference patches derived from the UAV reference maps. &#x201c;Nb of TP&#x201d; is the percentage of UAV test patches overlapped by detected disturbances. &#x201c;Total area&#x201d; is the sum of the areas of the test patches. &#x201c;Overlaps&#x201d; corresponds to the percentage of overlap between the UAV reference disturbances and the predicted disturbed pixels.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">Minimum</th>
<th align="center">Nb of</th>
<th colspan="2" align="center">Nb of TP (%)</th>
<th align="center">Total area</th>
<th colspan="2" align="center">Overlaps (%)</th>
</tr>
<tr>
<th align="center">Cluster size (ha)</th>
<th align="center">Test patches</th>
<th align="center">CuSum</th>
<th align="center">FLCD</th>
<th align="center">(ha)</th>
<th align="center">CuSum</th>
<th align="center">FLCD</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">0.00</td>
<td align="center">341</td>
<td align="center">19.65</td>
<td align="center">18.77</td>
<td align="center">9.90</td>
<td align="center">16.69</td>
<td align="center">20.78</td>
</tr>
<tr>
<td align="center">0.01</td>
<td align="center">260</td>
<td align="center">33.33</td>
<td align="center">32.69</td>
<td align="center">8.80</td>
<td align="center">18.24</td>
<td align="center">22.85</td>
</tr>
<tr>
<td align="center">0.02</td>
<td align="center">126</td>
<td align="center">49.20</td>
<td align="center">48.41</td>
<td align="center">7.98</td>
<td align="center">20.24</td>
<td align="center">25.32</td>
</tr>
<tr>
<td align="center">0.03</td>
<td align="center">92</td>
<td align="center">61.79</td>
<td align="center">62.41</td>
<td align="center">7.09</td>
<td align="center">22.07</td>
<td align="center">27.10</td>
</tr>
<tr>
<td align="center">0.05</td>
<td align="center">56</td>
<td align="center">71.42</td>
<td align="center">71.43</td>
<td align="center">5.72</td>
<td align="center">24.92</td>
<td align="center">30.58</td>
</tr>
<tr>
<td align="center">0.10</td>
<td align="center">20</td>
<td align="center">90.00</td>
<td align="center">90.00</td>
<td align="center">4.04</td>
<td align="center">29.05</td>
<td align="center">36.78</td>
</tr>
<tr>
<td align="center">0.20</td>
<td align="center">4</td>
<td align="center">100.00</td>
<td align="center">100.00</td>
<td align="center">1.05</td>
<td align="center">33.16</td>
<td align="center">39.88</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
</sec>
<sec sec-type="discussion" id="s4">
<label>4</label>
<title>Discussion</title>
<p>Tropical forest degradation threatens forest-provided ecosystem services and biodiversity (<xref ref-type="bibr" rid="B48">Putz and Redford, 2010</xref>; <xref ref-type="bibr" rid="B24">Ghazoul et al., 2015</xref>). Although RIL and certification have proven effective in mitigating such degradation (<xref ref-type="bibr" rid="B47">Putz and Pinard, 1993</xref>), a large share of logging concessions remains uncertified. Moreover, informal or artisanal logging now represents the major share of forest logging in the Congo Basin (<xref ref-type="bibr" rid="B40">Lescuyer et al., 2025</xref>). Operational indicators on logging activities need to be devised and monitored as to assess logging impacts and drive timber harvesting towards more sustainable practices. High resolution maps of small-sized canopy disturbances associated to accurate estimates of disturbance dates can provide a sound basis to devise such operational indicators for logging monitoring (<xref ref-type="bibr" rid="B19">Dupuis et al., 2020</xref>). Early detection of advancing degradation fronts is particularly important, as these are often precursors to deforestation (<xref ref-type="bibr" rid="B66">Vancutsem et al., 2020</xref>).</p>
<sec id="s4-1">
<label>4.1</label>
<title>Assessment of the FLCD method</title>
<p>The FLCD method appeared relevant to monitor small-sized forest disturbances such as canopy gaps made by tree felling in both FSC industrial and artisanal logging contexts. The dates of the detected forest disturbances were estimated with a very high accuracy on FSC sites (i.e., &#x2212;8.37 to &#x2b;4.60 days of difference on average between the estimated and the actual disturbance date, see the <xref ref-type="sec" rid="s11">Supplementary Appendix S5.6</xref>. Part of the uncertainty in the detected date is due to the fact that the actual tree felling date can occur at any time between the date of the image in which the change is first visible and the date of the previous image in the time series. This is a problem already encountered and reported in previous studies (<xref ref-type="bibr" rid="B52">Reiche et al., 2018a</xref>). Moreover, some pixels can still be disturbed after the felling event by delayed mortality of remaining vegetation (<xref ref-type="bibr" rid="B14">Dalagnol et al., 2019</xref>). Considering those two sources of uncertainty, the assessment of disturbance dates appeared of high accuracy.</p>
<p>Although our method targets canopy gaps as small as 0.02&#xa0;ha (i.e., just two nominal S-1 pixels), our method detected an average of 31.1% of logging gaps in FSC sites (see <xref ref-type="table" rid="T2">Table 2</xref>) and 42.6% in artisanal logging areas (see the <xref ref-type="sec" rid="s11">Supplementary Appendix S5.4</xref>). Moreover, detection results in the UAV-covered reference area clearly showed an increasing relationship of the detection rate with gap size, and they suggested that detection rates could be above 71% for canopy gaps in the range 0.05&#x2013;0.1&#xa0;ha (<xref ref-type="table" rid="T3">Table 3</xref>). These encouraging results remain however to be considered with caution and call for future verification on new UAV-based datasets of larger extent. Indeed, we assessed the parameters of the tested methods over our unique UAV-covered area of 374&#xa0;ha, while our very large datasets from FSC concessions provide no information on the gap sizes associated to the felled tree locations. It is worth noting, however, that the rate of true positive we found in the UAV-covered area is very close to the rate observed in the FSC validation sites (32.9% vs. 31.1%), which suggests no blatant overfitting, as supported by the cross validation strategy implemented during calibration.</p>
<p>Considering false detections, the FSC datasets do not provide information on canopy disturbances apart from felled trees, whether natural tree fall gaps (i.e., chablis) or anthropogenic disturbances such as logging roads, log landing sites and even small-holder crops. As a result, all associated pixels are likely to be detected but incorrectly labeled as false positives, thereby inflating the UDLR figures. Indeed, UDLR values we observed in the FSC sites are high, i.e., ranging between 31.2% and 66.9% which is substantially greater than the 23% observed in the UAV-covered reference area, where we were able to accurately exclude canopy disturbances unrelated to tree felling. This supports the idea that a large fraction of the false positives registered in the FSC sites may well be actual gaps, though unrelated to logging or at least to tree felling operations. Additional UAV-borne data over large areas would be needed to accurately assess the fraction of actual gaps unrelated to logging, considering that this fraction seems to display notable inter-site and inter-annual variability. To get an idea, we may refer to studies on natural tree fall and deriving canopy gap creation. For instance, directly interpreting (<xref ref-type="bibr" rid="B65">Van Der Meer and Bongers, 1996</xref>) results suggests that the yearly proportion of standing tree that fall and actually create a canopy gap is about 1%, which would correspond to ca. 5 gaps/ha&#x2a;year, compared to 0.5 to 4/ha tree felled in FSC concessions of Central Africa.</p>
<p>The observed UDLR values should thus be regarded as upper-limit estimates of false positives, which could be reduced using ancillary data to distinguish and sort out non-logging canopy gaps. Further research, though beyond the scope of the present paper could classify detected canopy disturbances by driver types in order to yield more accurate reference data to assess false positive values truly relating to small-area logging-induced disturbances (<xref ref-type="bibr" rid="B15">Dalagnol et al., 2023</xref>; <xref ref-type="bibr" rid="B58">Slagter et al., 2023</xref>).</p>
</sec>
<sec id="s4-2">
<label>4.2</label>
<title>Comparison between FLCD and CuSum</title>
<p>FLCD was more accurate than CuSum in estimating the dates of tree fellings. The discrepancy between the actual felling date and the detected disturbance date ranged from &#x2212;8.34 to &#x2b;4.60&#xa0;days on average using FLCD and from &#x2212;38.14 to &#x2b;0.32 days on average using CuSum in the FSC sites (Mbe, Kab). Those last figures suggest an intrinsic bias of CuSum towards negative error values (i.e., estimated date posterior to the actual one), which seems also corroborated by site-wise figures. Overall, the detection rate obtained with CuSum was slightly higher than with FLCD: in some FSC-certified sites (Mbe), the LDR values showed modest differences but still significant based on the Wilcoxon test, while in others, somewhat more noticeable variations could be observed (Kab). In the UAV-covered area, both methods displayed very similar trends of increasing detection rate and precision with canopy gap sizes. Both yielded rates close to 71% for gaps of 0.05&#xa0;ha. This suggests that observed detection rates might fundamentally reflect an intrinsic limit of the actual spatial resolution of the S-1 data that hinders detection of gaps of very small size (0.02&#x2013;0.05&#xa0;ha, i.e., just 2 to 5 pixels) whatever the method applied. Although S-1 data are provided at a ground spacing of 10&#xa0;m, the effective spatial resolution after multilooking is coarser (approximately 20 <inline-formula id="inf62">
<mml:math id="m67">
<mml:mrow>
<mml:mo>&#xd7;</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula> 22&#xa0;m), which explains the reduced detection rates observed for disturbances close to the pixel size. This casts doubt on the feasibility of using S-1 data to track all individual felling events, since a large share of logging gaps are indeed very small and poorly detectable. Moreover, some gaps are retaining understorey vegetation cover or specific species such as palms in humid situations which could reduce the drop in S-1 signal. Having a large fraction of small logging gaps is in fact a positive result of FSC certification through improved felling techniques aimed at minimizing disturbances. In spite of these difficulties, both CuSum and FLCD can contribute effectively to monitoring logging activities and logging-induced degradation fronts at landscape scales. The UDLR rate quantifying detections that do not match referenced felling locations only showed weak differences between CuSum and FLCD bearing in mind the notable variability across FSC sites of results from both methods and considering the limited number of sites mentioning UDLR, to carry out a Wilcoxon test. The same explanations evoked for FLCD seem relevant to account for the large UDLR values also found for CuSum. The CuSum method is a threshold-based change detection method, while the FLCD is a trajectory segmentation method (<xref ref-type="bibr" rid="B32">Hirschmugl et al., 2017</xref>), which flexibility allows more improvement opportunities, considering the increasing availability of UAV-based data that will progressively help enhance training and parameter calibration. Indeed, regarding the flexibility of FLCD, longer time series could help improve the fused-lasso fitting (<xref ref-type="bibr" rid="B64">Tibshirani et al., 2005</xref>). Furthermore, in time series change detection methods, seasonal effects are often preliminarily suppressed from the remote sensing time series (<xref ref-type="bibr" rid="B32">Hirschmugl et al., 2017</xref>). Removing the seasonal effect from the S-1 signal can be done for both CuSum and FLCD methods as (<xref ref-type="bibr" rid="B53">Reiche et al., 2018b</xref>) did for RADD. However, the fused-lasso allows going further with the incorporation of external factors (<xref ref-type="bibr" rid="B3">Arnold et al., 2022</xref>) such as topography, season, month and dry-wet periods thereby helping remove a part of the signal noise as to better focus on forest changes. This opportunity to add external factors is further developed in the next <xref ref-type="sec" rid="s4-3">Section 4.3</xref> Prospects for improvement. In addition, our application included a post-classification step that was substantially reducing the number of commission errors (see the <xref ref-type="sec" rid="s11">Supplementary Appendix S5.2</xref>) and could prove useful for other methods.</p>
</sec>
<sec id="s4-3">
<label>4.3</label>
<title>Prospects for improvement</title>
<p>Further studies should focus on improving the calibration of the FLCD method and on understanding how S-1-SAR characteristics contribute to the different types of detection errors. Firstly, FLCD (and also CuSum) is based on a percentile threshold (0.01 for FLCD and 99% for CuSum) calculated from all the pixels of the study area. Further research is needed to understand how integrating the properties of the land cover mosaic and the size of the study area to appropriately set this threshold. For instance, future work could investigate the sensitivity of the percentile-based detection threshold across contrasting landscape contexts, with varying forest-to-non-forest ratios. By optimizing threshold calculation such as choosing a minimum number of pixels in the study area and masking non-forests land uses, we may expect enhancing the accuracy of the felling gap detection. Secondly, based on a trajectory fitting approach (<xref ref-type="bibr" rid="B32">Hirschmugl et al., 2017</xref>), reference data (notably, multi-temporal UAV-borne) could be used to classify temporal S-1 signals that are characteristic of forest disturbances and sort out inappropriate signal trajectories that does not lend themselves to detecting punctual events (e.g., steadily decreasing ones as illustrated in <xref ref-type="fig" rid="F5">Figure 5</xref>). These typical signal trajectories could be classified from fused-lasso regressions prior to going further into the threshold detection process. Indeed, the SAR signal variations induced by the speckle noise and local moisture fluctuations (<xref ref-type="bibr" rid="B8">Bouvet et al., 2018</xref>; <xref ref-type="bibr" rid="B53">Reiche et al., 2018b</xref>; <xref ref-type="bibr" rid="B33">Hirschmugl et al., 2020</xref>) increase the number of false positive detections. This is often handled through spatial smoothing. But <xref ref-type="bibr" rid="B2">Aquino et al. (2022)</xref> demonstrated that smoothing the time series using boxcar filters with a window of one to seven pixels systematically led to a decrease in the detection accuracy of the CuSum method. A major challenge in the tropics is the strong negative correlation between rain intensity and negative anomalies in the C-band SAR signal (<xref ref-type="bibr" rid="B18">Doblas et al., 2020</xref>), leading to false detections of forest disturbances. Finally, the incorporation of VH polarization has been suggested by <xref ref-type="bibr" rid="B2">Aquino et al. (2022)</xref> to improve the accuracy of the CuSum method as could also be done for FLCD. Although VH polarization is generally less sensitive than VV to abrupt canopy openings in dense tropical forests (<xref ref-type="bibr" rid="B71">Ygorra et al., 2021</xref>), it captures complementary scattering mechanisms related to volume scattering within the forest canopy. Previous studies have combined VV and VH information, or used derived indices such as VV/VH ratios, to help improve detection performance (<xref ref-type="bibr" rid="B42">Mermoz et al., 2021</xref>; <xref ref-type="bibr" rid="B71">Ygorra et al., 2021</xref>; <xref ref-type="bibr" rid="B11">Carstairs et al., 2022</xref>; <xref ref-type="bibr" rid="B20">Dupuis, 2023</xref>). Other SAR features, such as the radar vegetation index, polarimetric (<xref ref-type="bibr" rid="B19">Dupuis et al., 2020</xref>) and textural features (<xref ref-type="bibr" rid="B6">Balling et al., 2023</xref>; <xref ref-type="bibr" rid="B30">Hethcoat et al., 2021</xref>) have shown promising results in monitoring forest disturbances. The fused-lasso framework could be extended to incorporate SAR and external variables such as elevation, soil type, or location through a multi-type regularization approach. <xref ref-type="bibr" rid="B16">Devriendt et al. (2021)</xref> have presented a regression setting where different predictor types are assigned to penalty structures tailored to their specific properties. By modeling external variables to change gradually over time while allowing sudden changes in the forest signal itself, the FLCD method could better separate natural environmental effects from real logging events. For example, a drop in S-1 signal at low elevation may be likely due to human activity, while slow decrease at high elevation may reflect climatic stress. False positives could be reduced by incorporating contextual information into the fused-lasso framework by combining environmental covariates and spatial context. For example, the model could account for proximity to roads, clustering of detected disturbances, or elevation, helping to distinguish anthropogenic logging gaps from natural canopy openings. In addition, the launch of S-1C reduces the revisit interval compared to the 24-day period imposed by the loss of S-1B. This shorter revisit frequency can further improve the detection of small and short-term forest disturbances, because the growth of giant herbs and vines can be swift around the felled stumps. Moreover, even though the radar sensors are the most relevant in the humid tropics thereby reducing the gap size, complementary information can be expected from optical sensors, which for instance could be used to assess radar-detected gaps, as to reduce false positives. Indeed, while cloudiness hinders analyzing data series from optical sensors by limiting temporal regularity and frequency of usable images, a thorough analysis of such images, even if sparse, can help identify the nature and cause of the false positive. Those can be natural tree fall (rather small and isolated gaps), anthropogenic openings unrelated to tree felling (rather large and close to infrastructures), or genuine errors due to S-1 signal defects.</p>
</sec>
<sec id="s4-4">
<label>4.4</label>
<title>Prospects for logging and forest degradation monitoring</title>
<p>Tree felling, especially when unauthorized or unregistered tends to be at the forefront of the forest degradation process, which itself often pave the way to deforestation (<xref ref-type="bibr" rid="B66">Vancutsem et al., 2020</xref>). It is thus of importance to detect and delineate areas where new logging activities are initiated. Very often, such areas are not recognized and mapped as degraded by the current global monitoring systems (i.e., GLAD, TMF, RADD). We further note that for detecting felling gaps, both FLCD and CuSum have a clear edge against existing global monitoring methods such as GLAD (<xref ref-type="bibr" rid="B29">Hansen et al., 2016</xref>)/TMF (<xref ref-type="bibr" rid="B66">Vancutsem et al., 2020</xref>) and RADD alerts (<xref ref-type="bibr" rid="B54">Reiche et al., 2021</xref>), which do not pretend to address disturbances smaller than 0.09 and 0.1&#xa0;ha, respectively. According to our field sites in Cameroon and the Democratic Republic of the Congo, 86% of the documented artisanal logging gaps were located in areas classified as &#x201c;intact forest&#x201d; in the TMF classification, while the median size of those documented gaps was ranging from 0.04 to 0.06&#xa0;ha in the three sites. In a certified FSC concession in <xref ref-type="bibr" rid="B2">Aquino et al. (2022)</xref> found that only 2% of the logging-induced disturbances were detected by RADD against 59% by CuSum. In our FSC certified concessions, and as expected, RADD was able to detect only the larger forest disturbances in the UAV reference area (i.e., log landing sites and roads, see the <xref ref-type="sec" rid="s11">Supplementary Appendix S5.7</xref>). In industrial logging concessions most of which are not certified, it is also needed to detect felling operations that may not respect the boundaries of annual coupes or the seasonal schedules that aim at soil protection. The method we propose here for detecting individual felling gaps is likely to highlight a surge of detections in any area experiencing new felling activities, even though a large share of felling events corresponds to individual gaps that are too small to be detectable from S-1 data. Such surges of spatially aggregated detections are clearly apparent in the dated detection maps presented in <xref ref-type="sec" rid="s11">Supplementary Appendix S5.5</xref>. Industrial logging operation are generally concentrated in time, and on a monthly or seasonally basis, the resulting spatial patterns of detected logging disturbances are unequivocally different from what could be expected from natural tree falls. Getting sufficiently accurate dates of canopy disturbance is here quintessential to monitor the displacement of logging operations by delineating areas in which logging activities are in progress and to verify whether they are in compliance with existing guidelines and regulations. Concerning the monitoring of informal or artisanal logging, we provide here the first hitherto results on the detectability of such activities through S-1 data. Although our dataset is modest compared to the massive sets provided by certified corporations, it enabled us to assess the proportion of detected trees among a set of recent felling sites that we thoroughly ascertained in the field in three distinct regions of Central Africa. Our study which is a first foray into the important question of measuring impacts of informal logging suggests that the detectability of canopy gaps made by artisanal logger may be at very similar levels than for logging corporations. Moreover, results are promising on two artisanal sites (Yan and Dzg) with histograms of date differences centered around zero as in the FSC sites (see the <xref ref-type="sec" rid="s11">Supplementary Appendix S5.6</xref>). More comprehensive datasets, for instance based on UAV-borne diachronic LiDAR acquisitions are obviously needed to provide results on false detections. Regardless of the different logging types, the foreseeable increasing availability of such drone-borne datasets will provide a robust basis for consolidating the evaluation of the S-1-based gap detection techniques we attempted in the present study. Of course collecting UAV-borne data remains challenging in tropical areas of poor accessibility. However, difficulties are eased in industrial logging concessions where logging roads and camps allow accessing electricity sources for devices. Equipment costs for integrated UAV-Lidar systems are dwindling. Currently, once on the spot, a trained operator is able to cover about 1,000&#xa0;ha in about 4&#xa0;days of full work. For sampling a large logging concession, several sample patches of 1,000&#xa0;ha each could be a good size. In addition to better evaluating false negatives and false positives, several avenues of investigation are possible as to draw more information from S-1 images. First, the spatiotemporal distribution of natural tree fall gaps should be compared with patterns of gaps generated by the different types of logging activities. Second, the spatial distribution of detected felling gaps is to be analyzed in relation to villages, road network and deforested areas. Thirdly, the return time of disturbances is a key parameter for evaluating forest degradation (<xref ref-type="bibr" rid="B67">V&#xe1;squez-Grand&#xf3;n et al., 2018</xref>) and disturbance detection could be repeated throughout the time series to detect recurring disturbances on the same pixel (or in neighboring pixels) and assess the closure time of the canopy by detecting when the signal returns close to its initial pre-disturbance value, as has been done in previous studies investigating forest recovery after wildfires and clear-cuts using optical satellite imagery (<xref ref-type="bibr" rid="B69">White et al., 2017</xref>; <xref ref-type="bibr" rid="B12">Chirici et al., 2020</xref>).</p>
<p>Regarding this third and last point, fused lasso regression constitutes a relevant framework for modeling and analyzing the temporal trajectories of the radar signal at the pixel scale. It will make it possible to take advantage of both the increasing availability of UAV-borne data and the lengthening of the S-1 image series to distinguish in the signal environmental and instrumental effects from those reflecting actual canopy changes.</p>
</sec>
</sec>
</body>
<back>
<sec sec-type="data-availability" id="s5">
<title>Data availability statement</title>
<p>The DSM and forest disturbances derived from UAV acquisitions conducted in 2018, 2019 and 2020 in the Republic of the Congo are available on the CIRAD dataverse at <ext-link ext-link-type="uri" xlink:href="https://doi.org/10.18167/DVN1/7RF7NF">https://doi.org/10.18167/DVN1/7RF7NF</ext-link>. The forest disturbance maps derived from the CuSum and FLCD methods in the five study areas in the Congo Basin are available on the CIRAD dataverse at <ext-link ext-link-type="uri" xlink:href="https://doi.org/10.18167/DVN1/VM1OI1">https://doi.org/10.18167/DVN1/VM1OI1</ext-link>. The script of the Fused-Lasso Change Detection method is available on the CIRAD GitLab repository at <ext-link ext-link-type="uri" xlink:href="https://gitlab.cirad.fr/forets-societes/projets/flcd">https://gitlab.cirad.fr/forets-societes/projets/flcd</ext-link>.</p>
</sec>
<sec sec-type="author-contributions" id="s6">
<title>Author contributions</title>
<p>AM: Writing &#x2013; original draft, Writing &#x2013; review and editing, Conceptualization, Data curation, Formal Analysis, Investigation, Methodology, Resources, Software, Validation, Visualization. JB: Writing &#x2013; original draft, Writing &#x2013; review and editing, Conceptualization, Funding acquisition, Investigation, Methodology, Project administration, Resources, Supervision, Visualization. FM: Writing &#x2013; original draft, Writing &#x2013; review and editing, Formal Analysis, Methodology, Software. NB: Writing &#x2013; original draft, Writing &#x2013; review and editing, Methodology, Resources. PP: Writing &#x2013; review and editing, Methodology. GC: Writing &#x2013; review and editing, Resources, Software. PC: Writing &#x2013; original draft, Conceptualization, Funding acquisition, Investigation, Methodology, Project administration, Resources, Supervision, Visualization, Writing &#x2013; review and editing.</p>
</sec>
<ack>
<title>Acknowledgements</title>
<p>We thank Emilien Dubiez, Benjamin Hamisi, John Katembo and Jean-Claude Omba for their contributions in collecting field data in the Democratic Republic of the Congo. We thank Phillipe Guizol, Christian Fotso, Christian Tatchi, Essiane Edouard and J. G. Kayoum for their contribution in collecting field data in Cameroon. We thank local authorities and lumber men for their cooperation during the field campaigns in Cameroon and the Democratic Republic of the Congo. We thank Guillaume Lescuyer, Emilien Dubiez, Benjamin Hamisi and Phillipe Guizol for their contribution in establishing the field protocols and preparing the field campaigns. We thank Sylvie-Gourlet Fleury, Val&#xe9;ry Gond and Maxime R&#xe9;jou-M&#xe9;chain for providing useful comments during the analysis. We thank Lilian Blanc for his comments on the manuscript. We thank Fabrice B&#xe9;n&#xe9;det for his help in depositing the data.</p>
</ack>
<sec sec-type="COI-statement" id="s8">
<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 sec-type="ai-statement" id="s9">
<title>Generative AI statement</title>
<p>The author(s) declared that generative AI was not used in the creation of this manuscript.</p>
<p>Any alternative text (alt text) provided alongside figures in this article has been generated by Frontiers with the support of artificial intelligence and reasonable efforts have been made to ensure accuracy, including review by the authors wherever possible. If you identify any issues, please contact us.</p>
</sec>
<sec sec-type="disclaimer" id="s10">
<title>Publisher&#x2019;s note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
<sec sec-type="supplementary-material" id="s11">
<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/frsen.2026.1659305/full#supplementary-material">https://www.frontiersin.org/articles/10.3389/frsen.2026.1659305/full&#x23;supplementary-material</ext-link>
</p>
<supplementary-material xlink:href="DataSheet1.pdf" id="SM1" mimetype="application/pdf" xmlns:xlink="http://www.w3.org/1999/xlink"/>
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<bold>Edited by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1372443/overview">Jane Southworth</ext-link>, University of Florida, United States</p>
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<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/3135093/overview">Damir Klobu&#x10d;ar</ext-link>, Croatian Forests Ltd. Zagreb, Croatia</p>
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<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/3166406/overview">Xiongwei Liang</ext-link>, Harbin University, China</p>
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