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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Environ. Sci.</journal-id>
<journal-title>Frontiers in Environmental Science</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Environ. Sci.</abbrev-journal-title>
<issn pub-type="epub">2296-665X</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="publisher-id">1084764</article-id>
<article-id pub-id-type="doi">10.3389/fenvs.2023.1084764</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Environmental Science</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Mapping deforestation and recovery of tropical montane forests of East Africa</article-title>
<alt-title alt-title-type="left-running-head">Ojoatre 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/fenvs.2023.1084764">10.3389/fenvs.2023.1084764</ext-link>
</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Ojoatre</surname>
<given-names>Sadadi</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2077449/overview"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Zhang</surname>
<given-names>Ce</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff4">
<sup>4</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
<uri xlink:href="https://loop.frontiersin.org/people/736275/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Yesuf</surname>
<given-names>Gabriel</given-names>
</name>
<xref ref-type="aff" rid="aff5">
<sup>5</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2370432/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Rufino</surname>
<given-names>Mariana C.</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/478529/overview"/>
</contrib>
</contrib-group>
<aff id="aff1">
<sup>1</sup>
<institution>Lancaster Environment Centre</institution>, <institution>Faculty of Science &#x26; Technology</institution>, <institution>Lancaster University</institution>, <addr-line>Lancaster</addr-line>, <country>United Kingdom</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>Centre for International Forestry Research (CIFOR)</institution>, <institution>World Agroforestry Centre (ICRAF)</institution>, <addr-line>Nairobi</addr-line>, <country>Kenya</country>
</aff>
<aff id="aff3">
<sup>3</sup>
<institution>BeZero Carbon</institution>, <institution>Shoreditch Exchange</institution>, <addr-line>London</addr-line>, <country>United Kingdom</country>
</aff>
<aff id="aff4">
<sup>4</sup>
<institution>UK Centre for Ecology &#x26; Hydrology</institution>, <addr-line>Lancaster</addr-line>, <country>United Kingdom</country>
</aff>
<aff id="aff5">
<sup>5</sup>
<institution>Department of Geography and Environmental Science</institution>, <institution>University of Reading</institution>, <addr-line>Reading</addr-line>, <country>United Kingdom</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>
<bold>Edited by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/2055688/overview">Xiaoyang Zhang</ext-link>, South Dakota State University, United States</p>
</fn>
<fn fn-type="edited-by">
<p>
<bold>Reviewed by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1904888/overview">Gautam Talukdar</ext-link>, Wildlife Institute of India, India</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1031020/overview">Anthony Gidudu</ext-link>, Makerere University, Uganda</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Ce Zhang, <email>c.zhang9@lancaster.ac.uk</email>
</corresp>
</author-notes>
<pub-date pub-type="epub">
<day>24</day>
<month>07</month>
<year>2023</year>
</pub-date>
<pub-date pub-type="collection">
<year>2023</year>
</pub-date>
<volume>11</volume>
<elocation-id>1084764</elocation-id>
<history>
<date date-type="received">
<day>30</day>
<month>10</month>
<year>2022</year>
</date>
<date date-type="accepted">
<day>11</day>
<month>07</month>
<year>2023</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2023 Ojoatre, Zhang, Yesuf and Rufino.</copyright-statement>
<copyright-year>2023</copyright-year>
<copyright-holder>Ojoatre, Zhang, Yesuf and Rufino</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/">
<p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</p>
</license>
</permissions>
<abstract>
<p>Deforestation poses a major threat to the tropical montane forest ecosystems of East Africa. Montane forests provide key and unique ecological and socio-economic benefits to the local communities and host diverse flora and fauna. There is evidence of ongoing deforestation and forest clearance in these montane forests although estimates diverge among different sources suggesting rates of 0.4%&#x2013;3% yr<sup>&#x2212;1</sup>. Quantifying deforestation rates and forest disturbance is critical to design conservation and sustainable management policies for forest management. This study quantified the rate of deforestation and forest recovery over the last three decades for the Mau Forest Complex and Mount Elgon forests in Kenya and Uganda using Landsat time-series satellite imagery. With the analysis, classification accuracies of 86.2% and 90.5% (kappa 0.81 and 0.88) were achieved for the Mau Forest Complex and the Mt Elgon forests, respectively. 21.9% (88,493&#xa0;ha) of the 404,660&#xa0;ha of Mau forest was lost at an annual rate of &#x2212;0.82% yr<sup>&#x2212;1</sup> over the period between 1986 and 2017. More positively, 18.6% (75,438&#xa0;ha) of the forest cover that was disturbed during the same period and is currently undergoing recovery. In Mt Elgon forest, 12.5% (27,201&#xa0;ha) of 217,268&#xa0;ha of the forest cover was lost to deforestation at an annual rate of &#x2212;1.03% yr<sup>&#x2212;1</sup> for the period between 1984&#x2013;2017 and 27.2% (59,047&#xa0;ha) of the forest cover disturbed is undergoing recovery. The analysis further demonstrated agriculture (both smallholder and commercial) was the main driver of forest cover loss in Mau forest, accounting for 81.5% (70,612&#xa0;ha) of the deforestation, of which 13.2% was due to large scale and 68.3% was related to the smallholders. For the Mt Elgon forest, agriculture was also the main driver accounting for 63.2% (24,077&#xa0;ha) of deforestation followed by the expansion of human settlements that contributed to 14.7% (5,597&#xa0;ha) of forest loss. This study provides accurate and novel estimates of the rate of deforestation for the Mau forest complex and Mt Elgon forest ecosystems. These rates are higher than previously estimated and recent deforestation has been identified, which provides a quantitative basis for forest restoration programs and to design conservation policies.</p>
</abstract>
<kwd-group>
<kwd>deforestation</kwd>
<kwd>forest clearance</kwd>
<kwd>montane tropical forests</kwd>
<kwd>land use change</kwd>
<kwd>forest recovery</kwd>
</kwd-group>
<contract-num rid="cn001">NE/T004002/1</contract-num>
<contract-sponsor id="cn001">Natural Environment Research Council<named-content content-type="fundref-id">10.13039/501100000270</named-content>
</contract-sponsor>
<contract-sponsor id="cn002">Centre for International Forestry Research<named-content content-type="fundref-id">10.13039/501100001836</named-content>
</contract-sponsor>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-at-acceptance</meta-name>
<meta-value>Land Use Dynamics</meta-value>
</custom-meta>
</custom-meta-wrap>
</article-meta>
</front>
<body>
<sec id="s1">
<title>1 Introduction</title>
<p>Deforestation poses a global challenge to humanity. This is due to its vast contribution towards greenhouse gas (GHG) emissions to the atmosphere and the impact that forest loss has on the hydrological cycle globally. These impacts include disruption of movement of water in the atmosphere, shifts in precipitation and hence leading to draught among others. Forests regulate water flows in catchments by playing an important role in the interception of rainfall, reducing runoff, attracting rainfall through their high evapotranspiration rates, and contributing to condensation (<xref ref-type="bibr" rid="B68">Sheil and Murdiyarso, 2009</xref>; <xref ref-type="bibr" rid="B67">Sheil, 2018</xref>). Forests also contribute to cloud formation by releasing biogenic volatile compounds into the atmosphere, which further accelerate condensation (<xref ref-type="bibr" rid="B16">Ellison et al., 2017</xref>), contrarily deforestation increases the surface temperature leading to increased evaporation and reduced evapotranspiration (<xref ref-type="bibr" rid="B41">Lawrence and Vandecar, 2015</xref>). Since 1990, an estimated total of 420 million hectares of forests have been lost globally because of conversion to other land uses, most notably agriculture and human settlements (<xref ref-type="bibr" rid="B21">FAO and UNEP, 2020</xref>). Between 2015 and 2020, the global rate of deforestation was estimated at 10 million ha&#xa0;yr<sup>&#x2212;1</sup> down from 16 million ha&#xa0;yr<sup>&#x2212;1</sup> in the 1990s (<xref ref-type="bibr" rid="B21">FAO and UNEP, 2020</xref>). Between 2001 and 2019, forest clearing resulted in global gross GHG emission of 8.1 &#xb1; 2.5 GtCO2e yr<sup>&#x2212;1</sup>, yet tropical forests contribute most (5.3 &#xb1; 2.4 GtCO2e yr<sup>&#x2212;1</sup>) to the removal of atmospheric carbon dioxide (CO<sub>2</sub>) emissions (<xref ref-type="bibr" rid="B31">Harris et al., 2021</xref>).</p>
<p>Despite the importance of tropical forests in regulating climate and supporting the hydrological systems, their cover has dropped from 1,966 million ha in 1990 to 1,770 million ha in 2015 (<xref ref-type="bibr" rid="B18">FAO, 2015a</xref>; <xref ref-type="bibr" rid="B36">Keenan et al., 2015</xref>; <xref ref-type="bibr" rid="B43">MacDicken, 2015</xref>). Large areas of tropical forests have been deforested between 2000 and 2012, amongst which 20% were in sub-Saharan Africa (<xref ref-type="bibr" rid="B38">Kim, Sexton, and Townshend, 2015</xref>; <xref ref-type="bibr" rid="B47">Mitchard, 2018</xref>). The tropical forests in sub-Saharan Africa are facing a rapid loss to deforestation and degradation at an estimated annual conversion rate of approximately 0.4%&#x2013;0.5% yr<sup>&#x2212;1</sup> (<xref ref-type="bibr" rid="B45">Mayaux et al., 2005</xref>; <xref ref-type="bibr" rid="B19">FAO, 2015b</xref>). The increasing demand for land for agriculture and human settlements means that forests are the main target for conversion (<xref ref-type="bibr" rid="B40">Kissinger et al., 2012</xref>; <xref ref-type="bibr" rid="B13">Curtis et al., 2018</xref>). The forest loss rates have been reported over global and continental scales, such as through the Global Forest Change (GFC) platform and Global Forest Watch (<xref ref-type="bibr" rid="B29">Hansen et al., 2013</xref>). The GFC data shows forest gain and loss from 2001 and these forest cover change estimates provide the global perspective of the forest cover change with accuracy that differs across regions. The usefulness of global datasets at a local scale has not been examined closely for East Africa (<xref ref-type="bibr" rid="B28">Hamunyela et al., 2020</xref>), although literature suggest that GFC underestimates forest loss rates at a local scale and varies spatially (<xref ref-type="bibr" rid="B46">Milodowski, Mitchard and Williams, 2017</xref>; <xref ref-type="bibr" rid="B78">Yesuf, Brown and Walford, 2019</xref>). Specifically, the GFC dataset provides estimates of the scale and magnitude of forest cover change as a gain or loss (<xref ref-type="bibr" rid="B29">Hansen et al., 2013</xref>), and although these estimates are valuable there is a need to distinguish permanent losses due to deforestation and to identify areas under-recovery over time through forest clearing events, i.e., fragmentation, logging, shifting cultivation or fires (<xref ref-type="bibr" rid="B13">Curtis et al., 2018</xref>; <xref ref-type="bibr" rid="B26">Grantham et al., 2020</xref>). Reliable estimates for the rates of deforestation for Africa are lacking at both national and regional levels (<xref ref-type="bibr" rid="B1">Achard et al., 2014</xref>). Understanding the magnitude and spatial distribution of deforestation hotspots is essential to monitor, protect and manage tropical forest ecosystems sustainably (<xref ref-type="bibr" rid="B30">Hansen et al., 2008</xref>). Quantifying the rates of deforestation and understanding the underlying causes is a critical component for designing and developing evidence-based policies to tackle forest cover loss, in order to support the implementation of national or international programs such as REDD&#x2b; (<xref ref-type="bibr" rid="B17">Entenmann et al., 2014</xref>).</p>
<p>In East Africa, the annual rates of deforestation at the national level are under debate and estimated at 0.05% yr<sup>&#x2212;1</sup> (Kenya) for the period 1990&#x2013;2010 and 0.4%&#x2013;3% yr<sup>&#x2212;1</sup> (Uganda) in 2016 (<xref ref-type="bibr" rid="B51">Mwangi et al., 2018</xref>). These rates are contentious and disparity in estimates arises from different forest types, measurements, definition of forest cover, and reporting methods (<xref ref-type="bibr" rid="B43">MacDicken, 2015</xref>). This research aims to establish robust estimates of forest change for East African montane forests, focusing on two important forests in Kenya and Uganda (Mau Forest Complex and Mt Elgon forest) with respects to their ecological and socio-economic values (<xref ref-type="bibr" rid="B77">WWF, 2007</xref>; <xref ref-type="bibr" rid="B9">Cavanagh, 2017</xref>; <xref ref-type="bibr" rid="B37">KEFRI, 2018</xref>). The estimates of deforestation in these two important forests involve the forest cover change, the underlying drivers, as well as the extent of forest recovery.</p>
<p>Previous research on montane forests focused on land-use change over specific blocks of Mau forest complex and Mt Elgon forests (e.g., <xref ref-type="bibr" rid="B6">Baldyga et al., 2007</xref>; <xref ref-type="bibr" rid="B75">Were et al., 2013</xref>). Although some studies assessed land use and land cover change and the underlying drivers for the Mau forest complex (e.g., <xref ref-type="bibr" rid="B5">Ayuyo and Sweta, 2014</xref>; <xref ref-type="bibr" rid="B39">Kimutai and Watanabe, 2016</xref>; <xref ref-type="bibr" rid="B71">Swart, 2016</xref>), the rates of deforestation, forest clearing, and the rates of forest recovery were not investigated.</p>
<p>Different remote sensing tools and methods are used to detect, monitor, and map forest loss due to deforestation and other forms of forest Clearance. For example, Breaks For Additive Season and Trend (BFAST) uses Landsat time-series data (<xref ref-type="bibr" rid="B14">DeVries et al., 2015</xref>), TimeSync (<xref ref-type="bibr" rid="B11">Cohen et al., 2010</xref>), spectral forest recovery trajectories (<xref ref-type="bibr" rid="B23">Frazier et al., 2015</xref>), and change detection approach (<xref ref-type="bibr" rid="B44">Margono et al., 2012</xref>). In this study we use the freely available satellite data (Landsat time-series) and carry out change detection to map deforestation and recovery resulting from forest clearance. We defined deforestation according to <xref ref-type="bibr" rid="B33">Hirata et al. (2012)</xref> as &#x201c;direct human-caused conversion of forested land to non-forested land&#x201d;. Therefore, our main goal was to determine the rate of deforestation (loss) and forest recovery (gain) in Mau forest complex and Mt Elgon forest by analysing spectral differences in Landsat imagery from 1984 to 2017.</p>
<p>The specific research objectives include.<list list-type="simple">
<list-item>
<p>(i) to identify the areas where deforestation has occurred.</p>
</list-item>
<list-item>
<p>(ii) to detect when the first and last deforestation took place.</p>
</list-item>
<list-item>
<p>(iii) to quantify the annual rate of deforestation and recovery for montane forests.</p>
</list-item>
</list>
</p>
<p>To achieve these objectives, the study used the existing and available Landsat time-series from L4/5&#xa0;TM, Landsat 7 and Landsat 8 OLI data collected between December&#x2013;March each year from 1984 to 2017 for the Mt Elgon forest and 1986 to 2017 for Mau forest complex to examine forest cover change. Due to limitation of images for some years, the average for the available data was used. Maximum likelihood classification was undertaken, and change detection was carried out between the available time spans.</p>
</sec>
<sec sec-type="methods" id="s2">
<title>2 Methodology</title>
<sec id="s2-1">
<title>2.1 Study area</title>
<p>The study was carried out in the Mt Elgon forest and Mau forest complex as indicated in <xref ref-type="fig" rid="F1">Figures 1A, B</xref> respectively which are classified as tropical montane forest and are collectively referred to as the Water Towers of East Africa. The tropical montane forests are forest with varying elevation and are characterized with Afroalpine vegetation from over 1,000&#xa0;m elevation (<xref ref-type="bibr" rid="B76">White, 1983</xref>). The Mau forest Complex is approximately 1,800&#x2013;3,000&#xa0;m elevation and the ecosystem is approximately 4,088.93&#xa0;km<sup>2</sup> (408,893&#xa0;ha) and comprises several forest blocks (22 blocks) such as Narok, Masaya Mau, Eastern, and Western Mau, Southern to Southwest Mau, and Transmara regions among others (<xref ref-type="bibr" rid="B12">Crafford et al., 2012</xref>; <xref ref-type="bibr" rid="B10">Chrisphine et al., 2015a</xref>). Mau forest complex is classified as an Afromontane vegetation type comprising both closed deciduous forest in the lower elevation and afro alpine vegetation such as Fern and moorland at the top of the mountain (<xref ref-type="bibr" rid="B52">Ojoatre, 2022</xref>). This forest is the major catchment area for 12 rivers draining into Lake Baringo, Nakuru, Turkana, Natron, and the Trans-boundary Lake Victoria shared by Kenya, Uganda, and Tanzania and therefore has been referred to as the Water Tower of East Africa (<xref ref-type="bibr" rid="B53">Olang and Kundu, 2011</xref>; <xref ref-type="bibr" rid="B10">Chrisphine et al., 2015b</xref>).</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>Location of the Mau forest complex and Elgon forest in East Africa. <bold>(A)</bold> Map showing the official boundaries of the Mt Elgon forests (<xref ref-type="bibr" rid="B66">Scott, 1998</xref>) and <bold>(B)</bold> Map showing the official boundaries of the Mau forest complex (<xref ref-type="bibr" rid="B25">Government of Kenya, 2017</xref>).</p>
</caption>
<graphic xlink:href="fenvs-11-1084764-g001.tif"/>
</fig>
<p>Mt Elgon forest is located approximately 100&#xa0;km northeast of Lake Victoria (<xref ref-type="bibr" rid="B66">Penny Scott, 1998</xref>) and it is a protected area that covers approximately 2,045&#xa0;km<sup>2</sup> (Mukadasi et al., 2007). It is a volcanic mountain with five (5) major peaks located in Eastern Uganda and Western Kenya as shown in <xref ref-type="fig" rid="F1">Figure 1A</xref>. The 5 major peaks include Wagagai with 4,321&#xa0;m above sea level, Mubiyi (4,211&#xa0;m), Masaba (4,161&#xa0;m) all these are predominantly located in Uganda meanwhile Koitobos (4,222&#xa0;m) is in Kenya and Sudek which stands at (4,302&#xa0;m) is located on the Kenya/Uganda border (Wielochowski and West Col Productions., 1989). Mt Elgon forest is classified as a dense closed canopy montane forest at the lower elevations and the top is characterized as moorland. Uganda Wildlife Authority currently manages Mt Elgon forest and the Nation Park since the merging of the Uganda National Parks (UNP) with the Game department. On the Kenya side, the forest is co-managed by Kenya Wildlife Service (KWS) focusing on the wildlife and Kenya Forest Service (KFS) that focuses on the forest reserve (<xref ref-type="bibr" rid="B56">Ongugo, et al., 2001</xref>).</p>
<p>The East African montane forests are found in moderate to high altitudes comprising of several separate mountain areas above 2,000&#xa0;m spanning from South Sudan through Uganda and Kenya to Northern Tanzania along the Rift valley (<xref ref-type="bibr" rid="B15">EAC, UNEP, and GRID-Arendal, 2016</xref>).</p>
</sec>
<sec id="s2-2">
<title>2.2 Data sources and processing</title>
<p>Landsat satellite imagery acquired from the USGS archives for the study area from Path/Raw 170/59 (for Mt Elgon forest), and 169/60&#x2013;61 for the Mau forest complex as indicated in <xref ref-type="table" rid="T1">Table 1</xref>. Available data from Landsat 4 and 5 Thematic Mapper [TM], Landsat 7 Enhanced Thematic Mapper Plus [ETM&#x2b;], and Landsat 8 OLI from 1984 to 2017 (Mt Elgon forest) and 1986 to 2017 (Mau forest Complex) were collected during dry months (from December to March) for both sites obtained. The images for the years from 1989 to 1994, 1996 to 1999 for the two-study areas generally are missing from the USGS archives. From 2004 to 2009, images from Landsat 7 were affected by SLC failure which rendered the images with a data loss (<xref ref-type="bibr" rid="B3">Andr&#xe9;fou&#xeb;t et al., 2003</xref>). For the images missing from Landsat 8, were largely because of cloud cover in the study area.</p>
<table-wrap id="T1" position="float">
<label>TABLE 1</label>
<caption>
<p>Landsat time-series data for the Mt Elgon forest area and Mau forest complex.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th colspan="2" align="center">Mt. Elgon forest</th>
<th colspan="2" align="center">Mau forest complex</th>
</tr>
<tr>
<th align="center">Date of acquisition</th>
<th align="center">Sensor</th>
<th align="center">Date of acquisition</th>
<th align="center">Sensor</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">31/12/1984</td>
<td align="center">L5 TM</td>
<td align="center">28/01/1986</td>
<td align="center">L5 TM</td>
</tr>
<tr>
<td align="center">08/03/1986</td>
<td align="center">L5 TM</td>
<td align="center">01/03/1989</td>
<td align="center">L4 TM</td>
</tr>
<tr>
<td align="center">27/03/1987</td>
<td align="center">L5 TM</td>
<td align="center">21/01/1995</td>
<td align="center">L5 TM</td>
</tr>
<tr>
<td align="center">18/02/1988</td>
<td align="center">L4 TM</td>
<td align="center">12/02/2000</td>
<td align="center">L7 ETM&#x2b;</td>
</tr>
<tr>
<td align="center">12/01/1995</td>
<td align="center">L5 TM</td>
<td align="center">14/02/2001</td>
<td align="center">L7 ETM&#x2b;</td>
</tr>
<tr>
<td align="center">06/03/2000</td>
<td align="center">L7 ETM&#x2b;</td>
<td align="center">01/02/2002</td>
<td align="center">L7 ETM&#x2b;</td>
</tr>
<tr>
<td align="center">05/02/2001</td>
<td align="center">L7 ETM&#x2b;</td>
<td align="center">04/02/2003</td>
<td align="center">L7 ETM&#x2b;</td>
</tr>
<tr>
<td align="center">07/01/2002</td>
<td align="center">L7 ETM&#x2b;</td>
<td align="center">30/01/2010</td>
<td align="center">L5 TM</td>
</tr>
<tr>
<td align="center">10/01/2003</td>
<td align="center">L7 ETM&#x2b;</td>
<td align="center">26/02/2014</td>
<td align="center">L8 OLI</td>
</tr>
<tr>
<td align="center">21/01/2010</td>
<td align="center">L5 TM</td>
<td align="center">17/03/2015</td>
<td align="center">L8 OLI</td>
</tr>
<tr>
<td align="center">05/03/2014</td>
<td align="center">L8 OLI</td>
<td align="center">16/02/2016</td>
<td align="center">L8 OLI</td>
</tr>
<tr>
<td align="center">03/01/2015</td>
<td align="center">L8 OLI</td>
<td align="center">17/01/2017</td>
<td align="center">L8 OLI</td>
</tr>
<tr>
<td align="center">23/02/2016</td>
<td align="center">L8 OLI</td>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="center">09/02/2017</td>
<td align="center">L8 OLI</td>
<td align="left"/>
<td align="left"/>
</tr>
</tbody>
</table>
</table-wrap>
<p>Forest boundaries created in 2009 for the Mau forest Complex were obtained from the Kenya Forest Service (KFS) and for the Mt Elgon forest from the National Forestry Authority (NFA) for the part of Mt Elgon forest located in Uganda. The Mt Elgon forest boundary was demarcated in 1968 for the Kenyan side and in 1992 for the Uganda side (<xref ref-type="bibr" rid="B66">Scott, 1998</xref>).</p>
<p>The Landsat data were processed and classified using the steps indicated in <xref ref-type="fig" rid="F2">Figure 2</xref>. The processing software used was ArcGIS for Desktop and ENVI Software. After the classification process indicated in <xref ref-type="fig" rid="F2">Figure 2</xref>. The yearly forest areas were extracted from the classified imagery and analysed using Microsoft excel software. The maps were produced using the ArcGIS software.</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>Flow chart showing a summary of the methodology that was undertaken in the current study.</p>
</caption>
<graphic xlink:href="fenvs-11-1084764-g002.tif"/>
</fig>
<p>Global Forest Change (GFC) dataset from 2000 to 2017 (version 1.5) was also used (<ext-link ext-link-type="uri" xlink:href="http://earthenginepartners.appspot.com/science-2013-global-forest">http://earthenginepartners.appspot.com/science-2013-global-forest</ext-link>; <xref ref-type="bibr" rid="B29">Hansen et al., 2013</xref>). The results of the GFC data were compared with the results for the forest loss from supervised classification results of the Landsat time-series for the period 2001&#x2013;2017 which corresponds with the GFC data.</p>
<p>GFC quantifies the trend in forest cover change (gain and loss) from the year 2000. GFC datasets have being reported to present limitations at the local scale (<xref ref-type="bibr" rid="B63">Sannier et al., 2016</xref>; <xref ref-type="bibr" rid="B28">Hamunyela et al., 2020</xref>). In this study, the classification results for years from 2000 were extracted to be assessed with corresponding findings from GFC for the Mau forest Complex and Mt Elgon forest.</p>
</sec>
<sec id="s2-3">
<title>2.3 Image analysis and classification</title>
<p>The images were classified in to 7 (seven) classes, namely: Forest, Non forest, Agriculture (Smallholder and Large scale), Rangeland among others. Supervised classification with the Maximum Likelihood (ML) algorithm was undertaken and change detection was performed to assess forest cover change. The ML classifier considers the centers of the clusters (class), shape size, and the orientation of the clusters by calculating the statistical distance based on the mean values and covariance matrix of the clusters (<xref ref-type="bibr" rid="B72">Tolpekin and Stein, 2012</xref>). The acquired Landsat imagery shown in <xref ref-type="table" rid="T1">Table 1</xref>. Were processed, classified, analyzed and the results were compared with the forest cover change from GFC data for the corresponding period. The supervised classification approach used in the current study requires reference data for training and validation. High-resolution Google Earth imagery dated February 2017 available shown in <xref ref-type="fig" rid="F3">Figures 3D, E</xref>, together with field survey (<xref ref-type="fig" rid="F3">Figures 3A&#x2013;C</xref>) was used to acquire the reference data for training and validation of the classified Landsat data (<xref ref-type="bibr" rid="B22">Fortier et al., 2011</xref>; <xref ref-type="bibr" rid="B79">Zhu, Woodcock and Olofsson, 2012</xref>; <xref ref-type="bibr" rid="B62">Rutkowska et al., 2014</xref>).</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>Examples from Mau forest complex of areas that show deforestation as a result of clearance for logs and firewood <bold>(A&#x2013;C)</bold>. Deforestation resulting from fire indicated by the red circle <bold>(D)</bold>, forest recovery following clearance from encroachment <bold>(E)</bold>. The high-resolution Google imagery showing <bold>(D, E)</bold> are dated February 2017.</p>
</caption>
<graphic xlink:href="fenvs-11-1084764-g003.tif"/>
</fig>
<p>Classification accuracy was assessed using the error matrix (confusion Matrix) with the high resolution (50&#xa0;cm) Google Earth images used as the reference data (<xref ref-type="bibr" rid="B70">Strahler et al., 2006</xref>; <xref ref-type="bibr" rid="B54">Olofsson et al., 2014</xref>; <xref ref-type="bibr" rid="B74">Vogelmann et al., 2017</xref>).</p>
<p>To map forest cover change, seven land cover classes (with the corresponding land use) were defined, including forest, agriculture (large scale), agriculture (small scale), rangelands, settlement/urban, and moorland as described in <xref ref-type="table" rid="T2">Table 2</xref>. The land use and land cover classes were defined based on classification schemes in previous studies (<xref ref-type="bibr" rid="B35">Houghton et al., 2012</xref>; <xref ref-type="bibr" rid="B64">Sassen et al., 2013</xref>; <xref ref-type="bibr" rid="B5">Ayuyo and Sweta, 2014</xref>; <xref ref-type="bibr" rid="B20">FAO, 2014</xref>; <xref ref-type="bibr" rid="B48">Mugagga et al., 2015</xref>). Additionally, the vegetation map of the Eastern Africa region (<xref ref-type="bibr" rid="B73">VECEA Team, 2020</xref>) was used for the class definition alongside the previous studies.</p>
<table-wrap id="T2" position="float">
<label>TABLE 2</label>
<caption>
<p>Land cover classes and the scheme used in the study adopted from similar reported studies in the same current study area as well as the reported vegetation classification in Eastern Africa.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">Land cover/land use class</th>
<th align="center">Description (FAO/National classification and vegetation map for Africa)</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">Forest (F)</td>
<td align="left">Trees with closed canopy visible on high-resolution imagery. With height &#x3e;2&#xa0;m, canopy cover of &#x3e;30%</td>
</tr>
<tr>
<td align="left">Agriculture large-scale (LA)</td>
<td align="left">Large scale commercial agriculture including tea estates of &#x3e;2&#xa0;ha, large scale irrigated and mechanized agriculture</td>
</tr>
<tr>
<td align="left">Agriculture smallholder (SA)</td>
<td align="left">Smallholder agriculture (Small-scale) mainly rainfed with fields of &#x3c;2&#xa0;ha for subsistence farming purposes</td>
</tr>
<tr>
<td align="left">Rangeland (R)</td>
<td align="left">This involves open land cultivated with pasture and grasslands</td>
</tr>
<tr>
<td align="left">Settlements/urban (SU)</td>
<td align="left">Bare land, developed with high density especially urban areas, infrastructure, and markets with limited farmlands</td>
</tr>
<tr>
<td align="left">Moorland (M)</td>
<td align="left">Extensive low-growing vegetation characterized with heath in high altitude &#x3e;1,500&#xa0;m above sea level commonly referred to as Afro-alpine vegetation</td>
</tr>
<tr>
<td align="left">Water (W)</td>
<td align="left">Areas that are occupied with open water bodies (both natural and man-made) such as lakes</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>Visual interpretation of the high-resolution Google imagery and the Landsat multispectral image (<xref ref-type="fig" rid="F4">Figure 4</xref>) was undertaken to obtain 500 training and validation samples (split into 60% for training and 40% for validation) for the supervised classification of the multispectral Landsat images.</p>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>Training and validation samples based on visual interpretation from High-resolution Google imagery and Multispectral Landsat images. The figure shows the Land cover class identification and sample from the high-resolution imagery and Landsat TM, ETM&#x2b; (5-4-3 spectral band combination), and Landsat 8 OLI (6-5-4 spectral band combination) for each land cover class used for the classification scheme.</p>
</caption>
<graphic xlink:href="fenvs-11-1084764-g004.tif"/>
</fig>
</sec>
<sec id="s2-4">
<title>2.4 Forest cover change, deforestation and recovery</title>
<p>Forest cover changes were quantified from the classified satellite images for the two study areas. The classification was undertaken on selected images with at least &#x3c;10% cloud cover during the dry months (December to March) for the available images from 1986 to 2017 for the Mau forest complex and 1984 to 2017 for the Mt Elgon forest shown in <xref ref-type="table" rid="T1">Table 1</xref>. To quantify forest cover change over time, the multispectral images and the high-resolution imagery were visually interpreted. The areas showing deforestation (loss) and forest recovery (gain) were identified as shown in <xref ref-type="fig" rid="F3">Figures 3D, E</xref> and <xref ref-type="fig" rid="F4">Figure 4</xref>. The visual interpretation process was then followed by the supervised classification using the classification scheme and classes that were developed as shown in <xref ref-type="table" rid="T2">Table 2</xref>.</p>
<p>From the classified imagery, forest class for each year was extracted. The forest area for 1986 (Mau forest complex) and 1984 (Mt Elgon forest) were used as masks. The masks were then used to identify and calculate (i) areas that were lost and never recovered (deforestation), (ii) areas that were lost or disturbed at some point in the time series but and were under-recovery by 2017, and (iii) forest areas that stayed forest since the beginning of the time series as permanent (intact) forest. To further quantify the areas that were permanent, recovering, and deforested, the current forest boundaries for the Mau forest complex and Mt Elgon forest were used to clip and estimate area changes within the forest boundary for both forests.</p>
</sec>
<sec id="s2-5">
<title>2.5 Rate of deforestation</title>
<p>The rate of deforestation was calculated from the yearly detected change in forest cover. This study adopts the method by <xref ref-type="bibr" rid="B60">Puyravaud (2003)</xref>, who proposed the use of the mean annual rate of change of forest cover over time. The method has been widely used to quantify the rate of deforestation and land cover change across the tropics (e.g., <xref ref-type="bibr" rid="B65">Schulz et al., 2010</xref>; <xref ref-type="bibr" rid="B27">Grinand et al., 2013</xref>; <xref ref-type="bibr" rid="B61">Reimer et al., 2015</xref>). The rate of deforestation (Eqn. 1) is based on the change analysis and the method accounts for variations in date for the image acquisitions.</p>
<p>Equation 1: Rate of deforestation<disp-formula id="equ1">
<mml:math id="m1">
<mml:mrow>
<mml:mi mathvariant="normal">r</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mo>/</mml:mo>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">T</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mo>&#x2013;</mml:mo>
<mml:mtext>&#x2009;</mml:mtext>
<mml:msub>
<mml:mi mathvariant="normal">T</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi mathvariant="normal">x</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi>ln</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">A</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:mo>/</mml:mo>
<mml:msub>
<mml:mi mathvariant="normal">A</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
</disp-formula>where: r &#x3d; the deforestation rate per year (% yr<sup>&#x2212;1</sup>).</p>
<p>T<sub>1</sub> &#x3d; Year for the beginning of the time step (initial year).</p>
<p>T<sub>2</sub> &#x3d; Year for the end of the time step (final year).</p>
<p>A<sub>1</sub> &#x3d; Forest area at the beginning of the time step (initial year).</p>
<p>A<sub>2</sub> &#x3d; Forest area at the end of the time step (final year).</p>
<p>Classified images for the Mau forest Complex and Mt Elgon forest were used to determine the change in land cover from forest to the other land cover/land use types (gross loss) and Other Land covers to forest (gross gain), the net change was calculated by subtracting the Gross Loss from the Gross Gain for the timespans based on the available imagery. To determine the transition of change from forest to other land covers/land use types, a matrix table for the classified land cover/use types was generated and the change areas were obtained. To determine the rate of deforestation, the current official forest boundaries for both Mt Elgon forest and the Mau forest complex were used to carry out change detection to identify areas that were deforested.</p>
</sec>
</sec>
<sec id="s3">
<title>3 Results and analysis</title>
<sec id="s3-1">
<title>3.1 Land cover classification and forest cover change</title>
<p>Land cover and forest cover change in the Mau forest complex are presented for the period 1986&#x2013;2017 and the Mt Elgon forest for the period 1984&#x2013;2017 (<xref ref-type="fig" rid="F5">Figure 5</xref>). Seven land cover classes were identified based on classification scheme in <xref ref-type="table" rid="T2">Table 2</xref>. Overall classification accuracy of 86.2% with Kappa coefficient of 0.81 was attained for the Mau forest complex and 90.5% (Kappa coefficient of 0.87) for the Mt Elgon forest as indicated in <xref ref-type="table" rid="T3">Tables 3A, B</xref>. In the Mau forest complex, rangelands were classified with the lowest producer accuracy (P) of 44.51% and the Settlements/Urban were classified with a lower user accuracy (U) of 30.64%. For the Mt Elgon forest, agriculture (A) had the lowest producer accuracy of 67.16% and the open/bare land class had the lowest user accuracy of 60.77%. The low producer accuracy of Rangeland was largely because the images used in the classification were obtained during the dry months of the study area hence rangelands appear bare because the grasses have dried, and some areas are burnt. While the user accuracy of the bare is high because areas that are rangelands because the dry season would sometimes appear like bare land with no vegetation. This is why the producer for rangelands is low and user accuracy for bare land were also low. Meaning areas that are rangelands are seen as bare in the classification and areas that are rangeland are classified as bare.</p>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption>
<p>Land cover map 1986 <bold>(A)</bold>, 2017 <bold>(B)</bold> for the Mau forest complex, 1984 <bold>(C)</bold> and 2017 <bold>(D)</bold> for the Mt Elgon forest showing forest cover change within and outside the official boundaries of the two montane forests.</p>
</caption>
<graphic xlink:href="fenvs-11-1084764-g005.tif"/>
</fig>
<table-wrap id="T3" position="float">
<label>TABLE 3</label>
<caption>
<p>Accuracy assessment for the supervised classification of the Mau forest complex (a) and the Mt Elgon forest (b).</p>
</caption>
<table>
<thead valign="top">
<tr>
<th colspan="10" align="center">(a) The Mau forest complex</th>
</tr>
<tr>
<th colspan="10" align="center">Overall accuracy &#x3d; 86.2%, kappa coefficient &#x3d; 0.81</th>
</tr>
<tr>
<th align="center">Class</th>
<th align="center">F</th>
<th align="center">AL</th>
<th align="center">SA</th>
<th align="center">R</th>
<th align="center">B</th>
<th align="center">W</th>
<th align="center">Total</th>
<th align="center">P (%)</th>
<th align="center">U (%)</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">F</td>
<td align="center">89.96</td>
<td align="center">0.52</td>
<td align="center">0.21</td>
<td align="center">0.00</td>
<td align="center">0.00</td>
<td align="center">0.00</td>
<td align="center">21.23</td>
<td align="center">89.96</td>
<td align="center">99.45</td>
</tr>
<tr>
<td align="center">AL</td>
<td align="center">0.12</td>
<td align="center">88.19</td>
<td align="center">0.93</td>
<td align="center">0.00</td>
<td align="center">0.80</td>
<td align="center">0.00</td>
<td align="center">6.16</td>
<td align="center">88.19</td>
<td align="center">93.42</td>
</tr>
<tr>
<td align="center">SA</td>
<td align="center">9.83</td>
<td align="center">4.19</td>
<td align="center">91.51</td>
<td align="center">36.01</td>
<td align="center">0.08</td>
<td align="center">0.00</td>
<td align="center">42.91</td>
<td align="center">91.51</td>
<td align="center">82.87</td>
</tr>
<tr>
<td align="center">R</td>
<td align="center">0.00</td>
<td align="center">0.24</td>
<td align="center">4.03</td>
<td align="center">44.51</td>
<td align="center">0.00</td>
<td align="center">0.00</td>
<td align="center">7.48</td>
<td align="center">44.51</td>
<td align="center">78.86</td>
</tr>
<tr>
<td align="center">B</td>
<td align="center">0.09</td>
<td align="center">6.86</td>
<td align="center">3.32</td>
<td align="center">19.48</td>
<td align="center">99.12</td>
<td align="center">0.07</td>
<td align="center">6.27</td>
<td align="center">99.12</td>
<td align="center">30.64</td>
</tr>
<tr>
<td align="center">W</td>
<td align="center">0.00</td>
<td align="center">0.00</td>
<td align="center">0.00</td>
<td align="center">0.00</td>
<td align="center">0.00</td>
<td align="center">99.93</td>
<td align="center">15.96</td>
<td align="center">99.93</td>
<td align="center">100.0</td>
</tr>
</tbody>
</table>
<table>
<thead valign="top">
<tr>
<th colspan="10" align="center">(b) Mt Elgon forest</th>
</tr>
<tr>
<th colspan="10" align="center">Overall Accuracy &#x3d; 90.50%, Kappa Coefficient &#x3d; 0.87</th>
</tr>
<tr>
<th align="center">Class</th>
<th align="center">F</th>
<th align="center">A</th>
<th align="center">R</th>
<th align="center">M</th>
<th align="center">B</th>
<th align="center">W</th>
<th align="center">Total</th>
<th align="center">P (%)</th>
<th align="center">U (%)</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">F</td>
<td align="center">100</td>
<td align="center">0.00</td>
<td align="center">0.00</td>
<td align="center">0.00</td>
<td align="center">0.00</td>
<td align="center">0.00</td>
<td align="center">19.45</td>
<td align="center">100.0</td>
<td align="center">100.0</td>
</tr>
<tr>
<td align="center">A</td>
<td align="center">0.00</td>
<td align="center">67.16</td>
<td align="center">0.55</td>
<td align="center">0.00</td>
<td align="center">1.54</td>
<td align="center">0.00</td>
<td align="center">18.88</td>
<td align="center">67.16</td>
<td align="center">98.92</td>
</tr>
<tr>
<td align="center">R</td>
<td align="center">0.00</td>
<td align="center">22.66</td>
<td align="center">99.45</td>
<td align="center">0.00</td>
<td align="center">3.82</td>
<td align="center">0.00</td>
<td align="center">31.44</td>
<td align="center">99.45</td>
<td align="center">79.45</td>
</tr>
<tr>
<td align="center">M</td>
<td align="center">0.00</td>
<td align="center">0.88</td>
<td align="center">0.00</td>
<td align="center">100</td>
<td align="center">0.00</td>
<td align="center">0.00</td>
<td align="center">20.29</td>
<td align="center">100.0</td>
<td align="center">98.80</td>
</tr>
<tr>
<td align="center">B</td>
<td align="center">0.00</td>
<td align="center">9.30</td>
<td align="center">0.00</td>
<td align="center">0.00</td>
<td align="center">94.64</td>
<td align="center">0.00</td>
<td align="center">6.59</td>
<td align="center">94.64</td>
<td align="center">60.77</td>
</tr>
<tr>
<td align="center">W</td>
<td align="center">0.00</td>
<td align="center">0.00</td>
<td align="center">0.00</td>
<td align="center">0.00</td>
<td align="center">0.00</td>
<td align="center">100</td>
<td align="center">3.35</td>
<td align="center">100.0</td>
<td align="center">100.0</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>F, Forest; AL, Agriculture (Largescale); SA, Agriculture (Smallholder); R, Rangeland; B, Bare land (Open Land) and W, Water; P, Producer accuracy and U, User accuracy.</p>
</fn>
<fn>
<p>F, Forest; AL, Agriculture (Largescale); SA, Agriculture (Smallholder); R, Rangeland; B, Bare land (Open Land) and W, Water; P, Producer accuracy and U, User accuracy.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>The analysis shows that in the Mau forest complex, forest areas that existed outside the current forest boundary of 2009 were converted to mainly agriculture both small and large scale. For the Mt Elgon forest, agriculture was also the main land cover/use to which forest area was lost.</p>
<p>The results show that 81.5% (70,612&#xa0;ha) of forest cover was lost mainly to agriculture between 1986 and 2017, of which 13.2% (11,440&#xa0;ha) can be attributed to large scale agriculture and 68.3% (59,172&#xa0;ha) to smallholder agriculture in the Mau forest complex as shown in <xref ref-type="fig" rid="F6">Figure 6A</xref>. For the Mt Elgon forest, agriculture was also the main land cover to which forest was lost accounting for 63.2% (24,077&#xa0;ha) followed by settlement at 14.7% (5,597&#xa0;ha) as indicated in <xref ref-type="fig" rid="F6">Figure 6B</xref>.</p>
<fig id="F6" position="float">
<label>FIGURE 6</label>
<caption>
<p>Land use change transitions from forest to other land cover, i.e., agriculture (large scale), agriculture (small-scale), rangeland, moorland, and bare land (open) in <bold>(A)</bold> the Mau forest complex and <bold>(B)</bold> Mt Elgon forest.</p>
</caption>
<graphic xlink:href="fenvs-11-1084764-g006.tif"/>
</fig>
<p>From the gross changes (loss and gain), net forest cover change was established for all the years based on the available imagery for the Mau forest complex as shown in <xref ref-type="fig" rid="F7">Figure 7A</xref> and for the Mt Elgon forest as indicated in <xref ref-type="fig" rid="F7">Figure 7A</xref>.</p>
<fig id="F7" position="float">
<label>FIGURE 7</label>
<caption>
<p>Changes in forest area for the various periods (1984/1986&#x2013;2017) for the Mau forest complex <bold>(A)</bold> and Mt Elgon forest <bold>(B)</bold>. Net change (in blue) is the difference between Gross gain and Gross loss. The bars represent the total change for each period while the values represent the annual change within the periods. A negative net result indicates overall forest conversion to other land covers.</p>
</caption>
<graphic xlink:href="fenvs-11-1084764-g007.tif"/>
</fig>
</sec>
<sec id="s3-2">
<title>3.2 Forest cover change from supervised classification</title>
<p>The forest cover loss in the Mau forest complex was assessed for the period 1986 to 2017 and the Mt Elgon forest for the period 1984 to 2017 using supervised classification (maximum likelihood classifier) and compared to the estimates from GFC for the period 2000&#x2013;2017 for the same period as the GFC datasets are only available from the year 2000. The results indicate that in the period 2000&#x2013;2017, GFC detected a loss of 17.0% (68,848&#xa0;ha) out of the 404,660&#xa0;ha of forest cover loss in the Mau forest complex and 5.3% (11,501&#xa0;ha) of the 217,268&#xa0;ha of forest loss in the Mt Elgon forest. The analysis conducted in this study with supervised classification from the same period (2000&#x2013;2017) estimated similar overall figures for the Mau forest complex with 16.8% (68,155&#xa0;ha) and larger forest loss with 7.6% (16,496&#xa0;ha) for the Mt Elgon forest as presented in <xref ref-type="table" rid="T4">Table 4</xref>.</p>
<table-wrap id="T4" position="float">
<label>TABLE 4</label>
<caption>
<p>Estimates of forest cover loss using Supervised Classification (ML) compared to the GFC data for the Mau forest complex (a) and the Mt Elgon forest (b) for the period 2000&#x2013;2017.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th rowspan="3" align="center">Period (2000&#x2013;2017)</th>
<th colspan="4" align="center">Mau forest complex</th>
<th colspan="4" align="center">Mt Elgon forest</th>
</tr>
<tr>
<th colspan="2" align="center">ML</th>
<th colspan="2" align="center">GFC</th>
<th colspan="2" align="center">ML</th>
<th colspan="2" align="center">GFC</th>
</tr>
<tr>
<th align="center">Area (ha)</th>
<th align="center">%</th>
<th align="center">Area (ha)</th>
<th align="center">%</th>
<th align="center">Area (ha)</th>
<th align="center">%</th>
<th align="center">Area (ha)</th>
<th align="center">%</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">Deforestation</td>
<td align="center">68,155</td>
<td align="center">16.8</td>
<td align="center">68,848</td>
<td align="center">17.0</td>
<td align="center">16,496</td>
<td align="center">7.6</td>
<td align="center">11,501</td>
<td align="center">5.3</td>
</tr>
<tr>
<td align="left">Remained forest</td>
<td align="center">282,779</td>
<td align="center">69.9</td>
<td align="center">276,446</td>
<td align="center">68.3</td>
<td align="center">120,497</td>
<td align="center">55.5</td>
<td align="center">166,356</td>
<td align="center">76.6</td>
</tr>
<tr>
<td align="left">Non-forest</td>
<td align="center">53,668</td>
<td align="center">13.3</td>
<td align="center">59,308</td>
<td align="center">14.7</td>
<td align="center">80,275</td>
<td align="center">37.0</td>
<td align="center">39,411</td>
<td align="center">18.1</td>
</tr>
<tr>
<td align="left">Total</td>
<td align="center">404,602</td>
<td align="center">100</td>
<td align="center">404,602</td>
<td align="center">100</td>
<td align="center">217,268</td>
<td align="center">100</td>
<td align="center">217,268</td>
<td align="center">100</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="s3-3">
<title>3.3 Forest cover change, deforestation, and recovery</title>
<p>Forest cover changes from 1986 to 2017 for the Mau forest complex and the Mt Elgon forest from 1984 to 2017 within their respective official forest boundaries are shown in <xref ref-type="fig" rid="F8">Figure 8</xref>. The hotspots, forest blocks, and areas that are more pronouncedly affected by deforestation were the Southwestern Mau, Eastern Mau, Londiani (Western Mau), and Maasai Mau. For the Mt Elgon forest, deforestation was more pronounced in the Kapchorwa area of Uganda and the Southern part of the Mt Elgon forest on the Kenyan side of the forest. The result also revealed the specific areas in the two montane forests where forest cover was lost to other land cover types (deforestation) within the study period and areas that were undergoing forest recovery.</p>
<fig id="F8" position="float">
<label>FIGURE 8</label>
<caption>
<p>Forest cover change from 1984 (Mt Elgon forest) and 1986 (Mau forest Complex) to 2017 showing areas that remained forest throughout the time series analyzed, the forest that was disturbed and is currently undergoing recovery by 2017, and forest that has been permanently lost to deforestation in the Mau forest complex <bold>(A)</bold> and the Mt Elgon forest <bold>(B)</bold>.</p>
</caption>
<graphic xlink:href="fenvs-11-1084764-g008.tif"/>
</fig>
<p>The analysis of the area change in <xref ref-type="fig" rid="F8">Figure 8</xref>, shows that during the 1986&#x2013;2017 period, 42.6% (172,250&#xa0;ha) of the Mau forest complex remained forest, 21.9% (88,493&#xa0;ha) of the forest area was lost to deforestation and 18.6% (75,438&#xa0;ha) was disturbed and is currently at different stages of recovery as shown in <xref ref-type="table" rid="T5">Table 5</xref>. For the Mt Elgon forest, 24.1% (52,369&#xa0;ha) of the forest remained forest between 1984 and 2017, and 12.08% (26,250&#xa0;ha) of the forest area was deforested and 27.6% (59,998&#xa0;ha) was disturbed and is currently undergoing recovery as indicated in <xref ref-type="table" rid="T5">Table 5</xref>.</p>
<table-wrap id="T5" position="float">
<label>TABLE 5</label>
<caption>
<p>Forest cover change in the Mau forest Complex and Mt Elgon forest calculated from classified Landsat imagery from 1984 to 2017 (Mt Elgon forest) and 1986&#x2013;2017 (Mau forest complex) using the supervised classification and change detection method.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th rowspan="2" align="left">Forest cover</th>
<th colspan="2" align="center">Mau forest complex</th>
<th colspan="3" align="center">Mt Elgon forest</th>
</tr>
<tr>
<th align="center">Area (ha)</th>
<th colspan="2" align="center">%</th>
<th align="center">Area (ha)</th>
<th align="center">%</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">Permanent forest (1984&#x2013;2017)</td>
<td align="center">172,250</td>
<td colspan="2" align="center">42.6</td>
<td align="center">52,369</td>
<td align="center">24.1</td>
</tr>
<tr>
<td align="left">Deforested area (2017)</td>
<td align="center">88,493</td>
<td colspan="2" align="center">21.9</td>
<td align="center">27,201</td>
<td align="center">12.5</td>
</tr>
<tr>
<td align="left">Forest under recovery (2017)</td>
<td align="center">75,438</td>
<td colspan="2" align="center">18.6</td>
<td align="center">59,047</td>
<td align="center">27.2</td>
</tr>
<tr>
<td align="left">Non-forest</td>
<td align="center">68,479</td>
<td colspan="2" align="center">16.9</td>
<td align="center">78,651</td>
<td align="center">36.2</td>
</tr>
<tr>
<td align="left">
<bold>Total</bold>
</td>
<td align="center">
<bold>404,660</bold>
</td>
<td colspan="2" align="center">
<bold>100</bold>
</td>
<td align="center">
<bold>217,268</bold>
</td>
<td align="center">
<bold>100</bold>
</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="s3-4">
<title>3.4 Rates of deforestation and recovery</title>
<p>The multi-temporal assessment of the rate of deforestation covers 31&#xa0;years (the Mau forest complex) and 33&#xa0;years for Mt Elgon forest as shown in <xref ref-type="table" rid="T6">Tables 6A, B</xref> respectively. The results indicate that an estimated 88,493&#xa0;ha of the Mau forest complex was lost to deforestation at an annual rate of &#x2212;0.86% for the period 1986&#x2013;2017 and an estimated 27,201&#xa0;ha for the Mt Elgon forest at a rate of &#x2212;1.03% during the same period. The recovery rates for the Mau forest complex and the Mt Elgon forest were estimated at an average of 2,434&#xa0;ha&#xa0;yr<sup>&#x2212;1</sup> and 1,789&#xa0;ha&#xa0;yr<sup>&#x2212;1</sup>, respectively presented in <xref ref-type="table" rid="T7">Table 7</xref>.</p>
<table-wrap id="T6" position="float">
<label>TABLE 6</label>
<caption>
<p>Observed forest cover loss in Mau forest complex (a) and Mt Elgon forest (b) within the official forest boundaries for the Mau Forest Complex and Mt Elgon forest.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">Time [T1]</th>
<th align="center">Time [T2]</th>
<th align="left">Period (T2-T1)</th>
<th align="center">Area (ha) [A1]</th>
<th align="center">Area (ha) [A2]</th>
<th align="center">Def [period] (ha)</th>
<th align="left">Deforestation rate yr<sup>-1</sup> [%]</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td colspan="7" align="center">
<bold>Mau forest complex (a)</bold>
</td>
</tr>
<tr>
<td align="center">1986</td>
<td align="center">1989</td>
<td align="center">3</td>
<td align="center">336,181.3</td>
<td align="center">334,563.3</td>
<td align="center">1,618.0</td>
<td align="center">&#x2212;0.2</td>
</tr>
<tr>
<td align="center">1989</td>
<td align="center">1995</td>
<td align="center">6</td>
<td align="center">334,308.3</td>
<td align="center">330,095.2</td>
<td align="center">4,213.0</td>
<td align="center">&#x2212;0.2</td>
</tr>
<tr>
<td align="center">1995</td>
<td align="center">2003</td>
<td align="center">8</td>
<td align="center">330,095.2</td>
<td align="center">285,342.4</td>
<td align="center">44,752.8</td>
<td align="center">&#x2212;1.8</td>
</tr>
<tr>
<td align="center">2003</td>
<td align="center">2010</td>
<td align="center">7</td>
<td align="center">285,342.4</td>
<td align="center">257,817.4</td>
<td align="center">27,525.0</td>
<td align="center">&#x2212;1.5</td>
</tr>
<tr>
<td align="center">2010</td>
<td align="center">2014</td>
<td align="center">4</td>
<td align="center">257,817.4</td>
<td align="center">253,223.4</td>
<td align="center">4,594.0</td>
<td align="center">&#x2212;0.5</td>
</tr>
<tr>
<td align="center">2014</td>
<td align="center">2017</td>
<td align="center">3</td>
<td align="center">253,223.4</td>
<td align="center">247,688.0</td>
<td align="center">5,535.4</td>
<td align="center">&#x2212;0.7</td>
</tr>
<tr>
<td align="center">Average</td>
<td colspan="5" align="left"/>
<td align="center">&#x2212;0.8</td>
</tr>
<tr>
<td colspan="7" align="center">
<bold>Mt Elgon forest (b)</bold>
</td>
</tr>
<tr>
<td align="center">1984</td>
<td align="center">1988</td>
<td align="center">4</td>
<td align="center">138,350.0</td>
<td align="center">118,904.4</td>
<td align="center">19,445.6</td>
<td align="center">&#x2212;3.8</td>
</tr>
<tr>
<td align="center">1988</td>
<td align="center">1995</td>
<td align="center">7</td>
<td align="center">118,904.4</td>
<td align="center">116,699.6</td>
<td align="center">2,204.8</td>
<td align="center">&#x2212;0.3</td>
</tr>
<tr>
<td align="center">1995</td>
<td align="center">2003</td>
<td align="center">8</td>
<td align="center">116,699.6</td>
<td align="center">121,138.5</td>
<td align="center">&#x2212;4,438.9</td>
<td align="center">0.5</td>
</tr>
<tr>
<td align="center">2003</td>
<td align="center">2010</td>
<td align="center">7</td>
<td align="center">121,138.5</td>
<td align="center">121,732.9</td>
<td align="center">&#x2212;594.4</td>
<td align="center">0.1</td>
</tr>
<tr>
<td align="center">2010</td>
<td align="center">2014</td>
<td align="center">4</td>
<td align="center">121,732.9</td>
<td align="center">116,552.9</td>
<td align="center">5,180.0</td>
<td align="center">&#x2212;1.1</td>
</tr>
<tr>
<td align="center">2014</td>
<td align="center">2017</td>
<td align="center">3</td>
<td align="center">116,552.9</td>
<td align="center">111,149.0</td>
<td align="center">5,403.9</td>
<td align="center">&#x2212;1.6</td>
</tr>
<tr>
<td align="center">Average</td>
<td colspan="5" align="left"/>
<td align="center">&#x2212;1.0</td>
</tr>
</tbody>
</table>
</table-wrap>
<table-wrap id="T7" position="float">
<label>TABLE 7</label>
<caption>
<p>Observed forest cover gain (recovery) in the Mau forest complex and Mt Elgon forest within the official forest boundaries for the Mau Forest Complex and Mt Elgon forest.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Ecosystem (forest)</th>
<th align="left">Time [T1]</th>
<th align="left">Time [T2]</th>
<th align="left">Period (T2 - T1)</th>
<th align="left">Area recovered/Gain (ha)</th>
<th align="center">Recovery rate yr<sup>-1</sup> [%]</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td rowspan="6" align="left">Mau forest Complex</td>
<td align="left">1986</td>
<td align="left">1989</td>
<td align="center">3</td>
<td align="center">7,710.20</td>
<td align="center">3.41</td>
</tr>
<tr>
<td align="left">1989</td>
<td align="left">1995</td>
<td align="center">6</td>
<td align="center">3,803.70</td>
<td align="center">0.84</td>
</tr>
<tr>
<td align="left">1995</td>
<td align="left">2003</td>
<td align="center">8</td>
<td align="center">18,573.10</td>
<td align="center">3.08</td>
</tr>
<tr>
<td align="left">2003</td>
<td align="left">2010</td>
<td align="center">7</td>
<td align="center">10,565.10</td>
<td align="center">2.00</td>
</tr>
<tr>
<td align="left">2010</td>
<td align="left">2014</td>
<td align="center">4</td>
<td align="center">15,562.90</td>
<td align="center">5.16</td>
</tr>
<tr>
<td align="left">2014</td>
<td align="left">2017</td>
<td align="center">3</td>
<td align="center">19,222.90</td>
<td align="center">8.49</td>
</tr>
<tr>
<td rowspan="6" align="left">Mt Elgon forest</td>
<td align="left">1984</td>
<td align="left">1988</td>
<td align="center">4</td>
<td align="center">8,239.40</td>
<td align="center">3.49</td>
</tr>
<tr>
<td align="left">1988</td>
<td align="left">1995</td>
<td align="center">7</td>
<td align="center">6,353.90</td>
<td align="center">1.54</td>
</tr>
<tr>
<td align="left">1995</td>
<td align="left">2003</td>
<td align="center">8</td>
<td align="center">19,850.40</td>
<td align="center">4.20</td>
</tr>
<tr>
<td align="left">2003</td>
<td align="left">2010</td>
<td align="center">7</td>
<td align="center">9,075.80</td>
<td align="center">2.20</td>
</tr>
<tr>
<td align="left">2010</td>
<td align="left">2014</td>
<td align="center">4</td>
<td align="center">6,825.20</td>
<td align="center">2.89</td>
</tr>
<tr>
<td align="left">2014</td>
<td align="left">2017</td>
<td align="center">3</td>
<td align="center">8,702.40</td>
<td align="center">4.91</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>Deforestation rates were higher for the Mau forest Complex between 1995 and 2003 where 44,753&#xa0;ha were lost and in the period between 2003 and 2010 when 27,525&#xa0;ha of the forest cover were lost as shown <xref ref-type="table" rid="T6">Table 6A</xref>. For the Mt Elgon forest, deforestation was high between 1984&#x2013;1988 when 19,446&#xa0;ha of the forest were lost as shown in <xref ref-type="table" rid="T6">Table 6B</xref>.</p>
</sec>
</sec>
<sec sec-type="discussion" id="s4">
<title>4 Discussion</title>
<sec id="s4-1">
<title>4.1 Mapping and classification of forest cover change</title>
<p>This study produced a new set of maps that show the extent of intact forest and degraded forest following clearance since 1984 for the two montane forests in East Africa. The study estimated the forest area that stayed as from the beginning of the time series (1984) until 2017, identified areas that were lost due to deforestation and those that are undergoing recovery. Supervised image classification with maximum likelihood (ML) algorithm was used with an accuracy of 86.20% (Kappa coefficient of 0.81) for the Mau forest complex was attained and 90.50% (Kappa coefficient of 0.88) was obtained for the Mt Elgon forest and deforestation was determined using the change detection method (<xref ref-type="bibr" rid="B44">Margono et al., 2012</xref>). The classification accuracy in this study for the Mau forest complex is comparable with a related classification that was undertaken by <xref ref-type="bibr" rid="B75">Were et al. (2013)</xref> with a reported accuracy of 80%, with which land cover and land-use change were assessed in the Eastern Mau forest reserve, a section of the Mau forest complex for the years 1986, 2000, and 2011. However, the results from <xref ref-type="bibr" rid="B75">Were et al. (2013)</xref> were only for a small section of the Mau forest complex. In this study, the training and validation samples for the maximum likelihood classification were obtained from the available high-resolution Google images for the two study areas, an approach that conforms with the best practices described by <xref ref-type="bibr" rid="B54">Olofsson et al. (2014)</xref>. Several factors contribute to the accuracy of the classification of which the reliability associated with the use of the high-resolution Google image with a slight difference in the dates of acquisition introduces potential errors into the class definition and allocation especially when the changes occur after the acquisition of the Google Imagery. Using ML for land cover mapping and carrying out change detection provides a challenge in class identification and definition given the images were collected during the dry months of the study area to be able to segregate forest cover from other land cover types. For example, small-scale agricultural land where harvesting has taken place could be assigned to the settlement and <italic>vice versa</italic>. ML assigns classes based on likelihood, and the classes assigned are used to assess the forest cover change at each time step. However, these challenges were minimized by using the forest masks to focus the changes within the areas that had been forest at the beginning of the time series.</p>
<p>The study further shows that the forest cover loss detected compared with the GFC data by <xref ref-type="bibr" rid="B29">Hansen et al. (2013)</xref> for the period 2000&#x2013;2017. GFC results indicate gross forest loss of 17.0% (68,848&#xa0;ha) for the Mau forest complex and 5.3% (11,501) for the Mt Elgon forest. These estimates from GFC for the period (2000&#x2013;2017) are comparable to the results from the classification in this current study which revealed 16.8% (68,155&#xa0;ha) and 7.6% (16,496&#xa0;ha) forest cover loss for the Mau forest complex and Mt Elgon forest respectively for the same period. The variations could be associated with differences in method, scales, and thresholds used as well as the processes involved. For example, ML is operator-based with a focus on the changes in the spectral value in different periods, while GFC uses the canopy cover percentage and determines change using the bagged decision tree in Google Earth Engine with images collected during the growing season (<xref ref-type="bibr" rid="B4">Arjasakusuma et al., 2018</xref>).</p>
</sec>
<sec id="s4-2">
<title>4.2 Spatio-temporal forest cover change and drivers of deforestation and forest disturbance</title>
<p>A comprehensive assessment of the forest cover changes due to deforestation and the following forest recovery for the two largest montane forests of East Africa covering together 621,928&#xa0;ha (404,660&#xa0;ha for the Mau forest complex and 217,268&#xa0;ha for Mt Elgon forest) was undertaken. Over the period from 1984&#x2013;2017, this study showed that 21.9% (88.493&#xa0;ha) and 12.5% (27,201&#xa0;ha) of the Mau forest and Mt Elgon forest respectively were lost to deforestation. It also revealed that 18.6% (75,438&#xa0;ha) for the Mau forest complex and 27.2% (59,047&#xa0;ha) of Mt Elgon forest are currently undergoing different stages of recovery as indicated in <xref ref-type="fig" rid="F8">Figure 8</xref>. Despite the losses to deforestation and clearance, the two montane forests have been regarded as the largest closed-canopy forest in East Africa playing a significant role in carbon sequestration, regulation of rainfall and nutrient cycling, soil formation, and support to biodiversity (<xref ref-type="bibr" rid="B24">Gichuhi, 2013</xref>; <xref ref-type="bibr" rid="B57">Otieno, 2016</xref>; <xref ref-type="bibr" rid="B59">Plumptre et al., 2019</xref>; <xref ref-type="bibr" rid="B55">Omoding et al., 2020</xref>). These montane forests are also very important ecosystems and water catchments to the East African region (<xref ref-type="bibr" rid="B49">Muhweezi et al., 2007</xref>; <xref ref-type="bibr" rid="B32">Hesslerov&#xe1; and Pokorn&#xfd;, 2011</xref>; <xref ref-type="bibr" rid="B10">Chrisphine et al., 2015</xref>). Due to various factors ranging from natural to anthropogenic, these montane forests have faced large-scale deforestation and disturbance (<xref ref-type="bibr" rid="B42">Landmann and Dubovyk, 2014</xref>; <xref ref-type="bibr" rid="B50">Mutugi and Kiiru, 2015</xref>) which conforms to the findings of the current study. In the Mau forest complex, our findings demonstrate that deforestation has been attributed largely to agriculture with the largest losses in forest cover resulting from the conversion of forest to small-scale agriculture 59,172&#xa0;ha (68.3%). While in Mt Elgon forest, agriculture was also the main driver of forest cover loss accounting for 63.2% (24,077&#xa0;ha) of the loses quantified. Previous studies also reported agriculture as the main driver of the land cover changes, for example, 4,500&#xa0;ha of Mt Elgon forest that has been converted to other land uses (<xref ref-type="bibr" rid="B58">Petursson et al., 2013</xref>), and a total of 145,850&#xa0;ha (1,458.5&#xa0;km<sup>2</sup>) of the Mau forest complex has been lost to other land uses as reported by <xref ref-type="bibr" rid="B71">Swart, (2016)</xref>. Our findings also agrees with the findings of <xref ref-type="bibr" rid="B75">Were et al. (2013)</xref> for the Eastern Mau forest and Lake Nakuru basin sections of the Mau forest complex, which revealed that there was an increase in cropland expansion and built-up area by an annual rate of 6% and 16% and a decrease in the forest cover as a consequence for the period from 1973 to 2011. <xref ref-type="bibr" rid="B40">Kissinger et al. (2012)</xref> associated forest cover loss with increasing demand for land to expand agriculture at a global level, this study confirms these claims as the study demonstrates that most of the forest cover was lost to agriculture for both the study areas. <xref ref-type="bibr" rid="B13">Curtis et al. (2018)</xref> reported deforestation rates in Africa being driven by shifting agriculture, i.e., small to medium-scale forest and shrubland conversion for agriculture that is later abandoned and followed by subsequent forest regrowth. However, this study determined that smallholder agriculture contributed to 68.31% of forest loss and large scale agriculture to 13.2%, and most of this area remains under agriculture, making it the main driver of forest cover loss as suggested by <xref ref-type="bibr" rid="B34">Hosonuma et al. (2012)</xref>; <xref ref-type="bibr" rid="B2">Albertazzi et al. (2018)</xref>. The current study further showed that deforestation in the Mau forest complex and Mt Elgon forest occurs in small patches of less than 1&#xa0;ha, which may be associated with the activities of farming communities adjacent to the forest as reported by the empirical studies by <xref ref-type="bibr" rid="B64">Sassen et al. (2013)</xref>; <xref ref-type="bibr" rid="B7">Brandt et al. (2018)</xref>. The finding of this study demonstrates that most of the areas deforested were mainly at the edges of agricultural lands both smallholder and large scale tea farms.</p>
</sec>
<sec id="s4-3">
<title>4.3 Rate of deforestation and recovery in the montane forest of East Africa</title>
<p>Deforestation has been reported to be pervasive in sub-Saharan Africa especially in the Democratic Republic of Congo (DRC) rainforests and the Miombo woodlands due to smallholder agriculture and increasingly commodity crop cultivation (<xref ref-type="bibr" rid="B69">Song et al., 2018</xref>), however, the rates are largely for lowland tropical rainforests. This study quantified the rate of deforestation and recovery for the two east African montane ecosystems which revealed 88,493&#xa0;ha reduction in the forest cover from 336,181.3&#xa0;ha at an annual rate of &#x2212;0.82% yr<sup>&#x2212;1</sup> for the Mau Forest Complex. While in the Mt Elgon forest, forest cover reduced by 27,201&#xa0;ha from 138,350&#xa0;ha in 1984 to 111,149&#xa0;ha by 2017 at an annual rate of &#x2212;1.03% yr<sup>&#x2212;1</sup> as indicated in <xref ref-type="table" rid="T6">Table 6</xref>. Comparing the rates of deforestation from this study with other reported rates can be challenging because of differences in datasets used, scale, and boundaries of the study areas. Most studies for the Mau forest complex do not quantify forest cover changes for the whole forest but in selected specific blocks out of the 22 blocks. For example, <xref ref-type="bibr" rid="B75">Were et al. (2013)</xref> estimated changes for the Lake Nakuru basin, Kinyanjui et al. (2013) calculated changes for the Southwestern and Transmara blocks of the Mau forest complex, and <xref ref-type="bibr" rid="B71">Swart, (2016)</xref> assessed the land cover change in the region that includes the Mau forest complex. These previous studies focused on the land-use change and the main drivers within specific blocks, whereas the current study covers the quantification of the rate of forest cover change and recovery across all the blocks of the Mau forest complex.</p>
<p>This study shows that the rate of deforestation in the Mau forest complex is also higher than the nationally reported annual rates by the Food and Agriculture Organization of the United Nations (FAO) for Kenya and Uganda at the national level since there are no site-specific reported rates of deforestation for the period 1990 to 2010 at 0.32% per year for Kenya and the findings for the Mt Elgon forest are below the national reported annual rate of 0.4%&#x2013;3% per year for Uganda for the period 1990 to 2010 (<xref ref-type="bibr" rid="B20">FAO, 2013</xref>). In comparison with the regional studies that have assessed rates of deforestation, the annual rates for the Mau forest complex and Mt Elgon determined in this study were slightly higher than the findings of <xref ref-type="bibr" rid="B8">Brink et al. (2014)</xref> that indicated an increase in the annual rate of deforestation from 0.2% in the period from 1990&#x2013;2000 to 0.4% from 2000&#x2013;2010. It should be noted that the study by <xref ref-type="bibr" rid="B8">Brink et al. (2014)</xref> used the images from the DMC Deimos imagery with ground resolution of 22&#xa0;m and the standard imager resolution of 32&#xa0;m collecting images in 3 spectral bands.</p>
<p>The current study provides spatio-temporal information regarding forest cover change. This provides the basis for future research to investigate the key drivers of the forest cover change and how these can be controlled in order to plan, implement and monitor the restoration and conservation programs for the tropical montane forest of East Africa. Previous studies have cited agriculture (both smallholder and Large scale as the key driver of change, however the magnitude and scale were not clearly stated. Our findings clearly show both the magnitude and scale of the drives from historical spatial data which can therefore provide much needed basis for further investigation into the drivers of change and how they can be managed. Other remote sensing methods can also be applied to test their robustness in determining forest cover change in the Eastern Africa region in general.</p>
<p>Future research work could involve the assessment of community perception regarding forest disturbance and develop citizen science tools to engage the community into the monitoring of the forest disturbance, with focus to areas that have been identified as deforested.</p>
</sec>
</sec>
<sec sec-type="conclusion" id="s5">
<title>5 Conclusion</title>
<p>Deforestation has been a major problem facing the Mau forest Complex and Mt Elgon forests in Kenya and Uganda, yet the annual rate of deforestation over time has not been quantified previously. This study provides a detailed multi-temporal and extensive spatial analysis of these two important forests thus providing an annual rate of forest loss to deforestation and the rate of recovery. The results provide a basis and spatial-temporal status of the forest for the development of effective monitoring of the two forest ecosystems from the areas that are currently deforested and those that are undergoing recovery. The study findings also provide the relevant scientific evidence on the trends of forest cover loss due to deforestation and forest cover clearance in the Mau forest complex and Mt Elgon forest and add to the limited information regarding the changes in montane forest ecosystems. The use MLC approach for assessing the rate of deforestation and forest recovery in the Mau forest complex and Elgon forest benchmarks the wider use and application of these datasets for assessing deforestation and forest recovery in the East African forests.</p>
</sec>
</body>
<back>
<sec sec-type="data-availability" id="s6">
<title>Data availability statement</title>
<p>The original contributions presented in the study are included in the article/Supplementary Material, further inquiries can be directed to the corresponding author.</p>
</sec>
<sec id="s7">
<title>Author contributions</title>
<p>SO: Data curation, Formal analysis, Investigation, Methodology, Software, Visualization, Writing&#x2014;original draft, Writing&#x2014;review and editing. CZ: Conceptualization, Formal analysis, Methodology, Writing&#x2014;review and editing, Project Administration. GY: Formal analysis, Investigation, Visualization. MR: Conceptualization, Writing&#x2014;review and editing, Supervision, Project Administration. All authors contributed to the article and approved the submitted version.</p>
</sec>
<sec id="s8">
<title>Funding</title>
<p>This study was part of a PhD research (<xref ref-type="bibr" rid="B52">Ojoatre, 2022</xref>) funded by the Federal Ministry for Economic Cooperation and Development (BMZ) (Grant 81206682 &#x201c;The Water Towers of East Africa: policies and practices for enhancing co-benefits from joint forest and water conservation&#x201d;) through Centre for International Forestry Research (CIFOR). This study forms part of the CGIAR Research Program Forest, Trees and Agroforestry (FTA), led by CIFOR. CZ was supported in part by the Natural Environment Research Council (grant number NE/T004002/1).</p>
</sec>
<sec sec-type="COI-statement" id="s9">
<title>Conflict of interest</title>
<p>Author SO was employed by company BeZero Carbon.</p>
<p>The remaining authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec sec-type="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>
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