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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">880840</article-id>
<article-id pub-id-type="doi">10.3389/fenvs.2022.880840</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>Assessment of Open Access Global Elevation Model Errors Impact on Flood Extents in Southern Niger</article-title>
<alt-title alt-title-type="left-running-head">Muench et al.</alt-title>
<alt-title alt-title-type="right-running-head">Assessment of DEMs in Niger</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Muench</surname>
<given-names>Rebekke</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1689641/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Cherrington</surname>
<given-names>Emil</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/1462498/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Griffin</surname>
<given-names>Robert</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Mamane</surname>
<given-names>Bako</given-names>
</name>
<xref ref-type="aff" rid="aff4">
<sup>4</sup>
</xref>
<xref ref-type="aff" rid="aff5">
<sup>5</sup>
</xref>
</contrib>
</contrib-group>
<aff id="aff1">
<sup>1</sup>
<institution>Earth System Science Center</institution>, <institution>The University of Alabama in Huntsville</institution>, <addr-line>Huntsville</addr-line>, <addr-line>AL</addr-line>, <country>United States</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>NASA SERVIR Science Coordination Office</institution>, <institution>NASA Marshall Space Flight Center</institution>, <addr-line>Huntsville</addr-line>, <addr-line>AL</addr-line>, <country>United States</country>
</aff>
<aff id="aff3">
<sup>3</sup>
<institution>Department of Atmospheric and Earth Science</institution>, <institution>The University of Alabama in Huntsville</institution>, <addr-line>Huntsville</addr-line>, <addr-line>AL</addr-line>, <country>United States</country>
</aff>
<aff id="aff4">
<sup>4</sup>
<institution>AGRHYMET Regional Center</institution>, <addr-line>Niamey</addr-line>, <country>Niger</country>
</aff>
<aff id="aff5">
<sup>5</sup>
<institution>SERVIR-West Africa</institution>, <addr-line>Niamey</addr-line>, <country>Niger</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/538227/overview">Ana Maria Tarquis</ext-link>, Polytechnic University of Madrid, Spain</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/1313807/overview">Vagner Ferreira</ext-link>, Hohai University, China</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/124076/overview">Guy Jean-Pierre Schumann</ext-link>, University of Bristol, United Kingdom</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Rebekke Muench, <email>rebekke.muench@uah.edu</email>
</corresp>
<fn fn-type="other">
<p>This article was submitted to Environmental Informatics and Remote Sensing, a section of the journal Frontiers in Environmental Science</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>04</day>
<month>05</month>
<year>2022</year>
</pub-date>
<pub-date pub-type="collection">
<year>2022</year>
</pub-date>
<volume>10</volume>
<elocation-id>880840</elocation-id>
<history>
<date date-type="received">
<day>21</day>
<month>02</month>
<year>2022</year>
</date>
<date date-type="accepted">
<day>15</day>
<month>04</month>
<year>2022</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2022 Muench, Cherrington, Griffin and Mamane.</copyright-statement>
<copyright-year>2022</copyright-year>
<copyright-holder>Muench, Cherrington, Griffin and Mamane</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>Recent studies have estimated annual flood loss at over two billion USD dollars in damage per year globally. This figure is likely to increase as populations grow, people move to flood prone areas, and flooding dynamics change. Digital Elevation Models are a primary input into many flood models; therefore, the accuracy and resolution of these data sets have implications for model accuracy that are not completely understood. An increasing number of DEMs are becoming open and freely available, which presents analysts with the challenge of selecting the most appropriate inputs for their specific use case, especially in countries such as Niger where these global DEMs have not been formally evaluated. This study compares the absolute vertical accuracy of four global and freely available DEMs: Shuttle Radar Topography Mission, ASTER, Advanced Land Observing Satellite, and MERIT, with reference to a high-resolution LiDAR DEM, in southern Niger. Specifically, the Height Above Nearest Drainage (HAND) model is used to investigate the impact of resolution and error on simulated flood extent. There are currently no studies that assess the vertical accuracy of global DEMs in Niger nor that investigate the impact of the DEM geometric variability on flood extents. The ALOS DEM showed the lowest Root Mean Square Error of 1.19&#xa0;m when compared to the LiDAR DEM, while ASTER had the highest RMSE of 4.2&#xa0;m. The results of the Height Above Nearest Drainage model showed that at floods under 3&#xa0;m in depth, the higher resolution DEMs simulated less flood extent; however, once the flood depth exceeded 3&#xa0;m, the higher the resolution the DEM, the larger the flood extent. These findings suggest that both absolute error and relative error, as well as resolution, should be addressed when applying a DEM to a flood model.</p>
</abstract>
<kwd-group>
<kwd>flood</kwd>
<kwd>DEM</kwd>
<kwd>RMSE</kwd>
<kwd>West Africa</kwd>
<kwd>HAND</kwd>
<kwd>SERVIR</kwd>
</kwd-group>
<contract-num rid="cn001">NNM11AA01A</contract-num>
<contract-sponsor id="cn001">National Aeronautics and Space Administration<named-content content-type="fundref-id">10.13039/100000104</named-content>
</contract-sponsor>
</article-meta>
</front>
<body>
<sec id="s1">
<title>1 Introduction</title>
<p>Accurate elevation data are important in determining areas susceptible to flooding and the decisions made based upon that information (<xref ref-type="bibr" rid="B15">Hawker et al., 2018</xref>). While very high spatial resolution (&#x3c;10&#xa0;m) Digital Elevation Models (DEMs) are ideal in these cases, these datasets can be expensive and difficult to obtain (<xref ref-type="bibr" rid="B36">Rayburg et al., 2009</xref>; <xref ref-type="bibr" rid="B41">Schumann et al., 2014</xref>; <xref ref-type="bibr" rid="B46">Watson et al., 2019</xref>). Regions that lack easy access to these high-resolution datasets rely on openly available data for analysis (<xref ref-type="bibr" rid="B19">Jarihani et al., 2015</xref>; <xref ref-type="bibr" rid="B6">Archer et al., 2018</xref>), such as the near-global Advanced Spaceborne Thermal Emission and Reflection Radiometer (ASTER) and Shuttle Radar Topography Mission (SRTM) DEMs. Since the public release of these DEMs, and the movement into an age of open-data access with the opening of the Landsat archive in 2008 (<xref ref-type="bibr" rid="B44">Tellman, 2018</xref>), more global DEMs have become available, including the Advanced Land Observing Satellite World 3D-30m (AW3D30) derived from the ALOS satellite. The Multi-Error-Removed Improved Terrain (MERIT) DEM is an enhancement to the SRTM (<xref ref-type="bibr" rid="B49">Yamazaki et al., 2017</xref>). The ASTER, SRTM, and ALOS DEMs are Digital Surface Models (DSMs) while the MERIT DEM is closer to a Digital Terrain Models (DTMs). DTMs are elevation models of the earth&#x2019;s terrain, while DSMs include the height of vegetation canopies and buildings as a part of the elevation (<xref ref-type="bibr" rid="B34">Pandjaitan et al., 2019</xref>).</p>
<p>Errors and uncertainty in DEMs are related to the processing mechanisms, the source of the data used to create the DEM (e.g., spaceborne, airborne, or ground-based), the time between the acquisition date of the DEM and subsequent terrain changes, and measurement errors due to positional accuracy (<xref ref-type="bibr" rid="B47">Wechsler, 2007</xref>; <xref ref-type="bibr" rid="B15">Hawker et al., 2018</xref>). Errors should be acknowledged and understood when using any DEM for analyses such as flood models. In recent years, several studies have analyzed the absolute vertical accuracy through the Root Mean Square Error (RMSE) of various global DEMs across the world as a way of better understanding these differences (<xref ref-type="bibr" rid="B19">Jarihani et al., 2015</xref>; <xref ref-type="bibr" rid="B7">Bhuyian and Kalyanapu, 2018</xref>; <xref ref-type="bibr" rid="B23">Kramm and Hoffmeister, 2019</xref>). In addition to the absolute vertical accuracy, the spatial distribution of DEM elevation differences needs to be considered, as the RMSE solely reflects the error across the study area, not where these differences occur (<xref ref-type="bibr" rid="B23">Kramm and Hoffmeister, 2019</xref>).</p>
<p>Limited information exists regarding the accuracy of the free and open global DEMs for the Sahel, let alone Niger, where floods are the most common recurring natural hazard (<xref ref-type="bibr" rid="B14">GFDRR, 2017</xref>). Over 2.3 billion people have been affected by flooding globally in the past 20&#xa0;years (<xref ref-type="bibr" rid="B45">UNSIDR, 2015</xref>), and it is expected that by 2050 over two billion more will be vulnerable to flood-related disasters (<xref ref-type="bibr" rid="B17">United Nations University, 2004</xref>). This increase in vulnerability is due to a combination of settlement in flood prone areas (<xref ref-type="bibr" rid="B40">Schultz, 2006</xref>; <xref ref-type="bibr" rid="B27">Massazza et al., 2019</xref>), and changing precipitation patterns across the world. In 2019 alone, for example, floods in Niger killed over 50 people and affected over 200,000 individuals through the destruction of homes and crops and the loss of livestock (<xref ref-type="bibr" rid="B39">Schlein, 2019</xref>). Efforts have been made in Niger to create flood suitability systems which are used to inform decisions on infrastructure and zoning (<xref ref-type="bibr" rid="B5">Andersson et al., 2017</xref>). As with many flood models, the focus in adjusting the models is on the model variables rather than the input elevation model (<xref ref-type="bibr" rid="B15">Hawker et al., 2018</xref>).</p>
<p>Although previous research has compared resolutions of DEMs to determine the implications on simulated flood extent (<xref ref-type="bibr" rid="B19">Jarihani et al., 2015</xref>; <xref ref-type="bibr" rid="B7">Bhuyian and Kalyanapu, 2018</xref>), several studies suggest that the spatial resolution of the DEM is not the dominant factor that influences the accuracy of flood extent simulations (e.g., <xref ref-type="bibr" rid="B25">Li and Wong, 2010</xref>). Rather, recent studies point to the vertical accuracy and relative elevation differences in DEMs as the most critical factors. To further test this paradigm in southern Niger, this study compares the absolute vertical accuracy of four global and freely available DEMs: SRTM, ASTER, ALOS, and MERIT, with reference to a high-resolution LiDAR DEM, and investigates the impact of resolution and vertical error on simulated flood extent by applying the Height Above Nearest Drainage (HAND) model.</p>
</sec>
<sec id="s2">
<title>2 Methodology</title>
<sec id="s2-1">
<title>2.1 Study Area</title>
<p>Niger is a country located within the semi-arid Sahelian zone of West Africa, south of the Sahara Desert. Southern Niger is characterized by intense rainfall events from June to September with little rainfall in the dry season from October to May (<xref ref-type="bibr" rid="B8">Boko et al., 2020</xref>). Temperatures range from 15 to 45&#xb0;C on average with a mean annual rainfall of approximately 500&#xa0;mm (<xref ref-type="bibr" rid="B5">Andersson et al., 2017</xref>; <xref ref-type="bibr" rid="B8">Boko, et al., 2020</xref>). In recent years, land cover change and variable rainfall have resulted in higher flood peaks that arrive progressively earlier in the season (<xref ref-type="bibr" rid="B26">Mahe et al., 2009</xref>; <xref ref-type="bibr" rid="B4">Amogu et al., 2010</xref>; <xref ref-type="bibr" rid="B3">Aich et al., 2016</xref>). These climatic changes, combined with continued occupation of flood-prone areas and rising population growth rates of over 3% (May 2019), have led to an increase in the number of people vulnerable to floods in Niger (<xref ref-type="bibr" rid="B10">Fiorillo et al., 2018</xref>), although it is difficult to quantify such vulnerability due to the lack of direct and indirect studies of flood impacts on rural communities in remote areas across Niger.</p>
<p>The region for this study is located along the border of Mali and Niger, about 180&#xa0;km northwest of Niamey, the capital of Niger (<xref ref-type="fig" rid="F1">Figure 1</xref>). This area is approximately 1,500 square kilometers and located along the Niger River and at an elevation range of 200&#x2013;300&#xa0;m. Many areas in Niger are of difficult access due to poor infrastructure and terrorism making it difficult to obtain ground data that can be used for validating DEMs. This study area was selected due to the availability of LiDAR data, collected by the Kandaji Dam Commission Authority, the availability of <italic>in-situ</italic> data, and the climatic similarity to other flood-prone areas in Niger.</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>Map showing the study area in Southern Niger indicated by the hatch marks.</p>
</caption>
<graphic xlink:href="fenvs-10-880840-g001.tif"/>
</fig>
</sec>
<sec id="s2-2">
<title>2.2 Datasets</title>
<sec id="s2-2-1">
<title>2.2.1 LiDAR</title>
<p>The LiDAR data were acquired in 2014 by the Kandaji Dam Commission Authority <italic>via</italic> an airborne LiDAR system. The LiDAR was flown on a Furgo plane that flew at an altitude of 700&#xa0;m and a speed of 110&#xa0;kts. The image has a 15&#xa0;cm resolution with a point density of four points per square meter. As is typical in LiDAR point cloud data, noise was removed from the point cloud by applying a filter which removes any points that are outliers from its adjacent points. The LiDAR point cloud points were used to create a DTM raster for the given study area.</p>
</sec>
<sec id="s2-2-2">
<title>2.2.2 Global Digital Elevation Models</title>
<p>Four global openly available Digital Elevation Models (DEMs) were used in this comparison. These were produced using methods ranging from interferometric synthetic aperture radar (InSAR) to photogrammetric processing of stereo-pair imagery. Photogrammetric stereo-pair processing uses optical data and is a representation of the Earth&#x2019;s surface rather than the terrain, while DEMs derived from InSAR techniques depend upon the wavelength of the radar as to what the DEM represents in terms of surface or terrain. In this case, the radar wavelength creates a DEM that includes trees and buildings. Additionally, the data used to produce this set of DEMs span 20&#xa0;years&#x2014;SRTM data was acquired in 2000 and AW3D30 data was acquired over the past 5&#xa0;years (<xref ref-type="table" rid="T1">Table 1</xref>). The different processing methods, types, and dates of the data contribute to the global DEMs having a range of published vertical errors from 5 to 12&#xa0;m. The impact of the date of data acquisition can vary depending on if there were built structures or extensive changes to vegetation between the date and today. While these DEMs were acquired through different means and at different periods, they are commonly used for flood applications; therefore, they were selected as comparisons to the LiDAR dataset in this application. All of the global DEMs used in this study have published global RMSEs which have been calculated based upon information from representative regions around the world; however, they do not have information specifically for Niger or in application to floods.</p>
<table-wrap id="T1" position="float">
<label>TABLE 1</label>
<caption>
<p>Global DEMs with their respective sources and accuracies.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">DEM</th>
<th align="center">Release year</th>
<th align="center">Data acquistion</th>
<th align="center">Source</th>
<th align="center">Vertical error (m)</th>
<th align="center">Resolution (m)</th>
<th align="center">Citation</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">SRTM 1 Arc Sec</td>
<td align="char" char=".">2015</td>
<td align="center">2000</td>
<td>NASA/NGA</td>
<td align="center">6</td>
<td align="char" char=".">30</td>
<td>
<xref ref-type="bibr" rid="B38">Rodriguez et al. (2006)</xref>
</td>
</tr>
<tr>
<td align="left">ASTERv3</td>
<td align="char" char=".">2019</td>
<td align="center">2000&#x2013;2008</td>
<td>NASA/METI</td>
<td align="center">12</td>
<td align="center">30</td>
<td>
<xref ref-type="bibr" rid="B1">Abrams Crippen, (2019)</xref>
</td>
</tr>
<tr>
<td align="left">AW3D30 2.2</td>
<td align="char" char=".">2019</td>
<td align="center">2006</td>
<td>JAXA</td>
<td align="center">5</td>
<td align="center">30</td>
<td>
<xref ref-type="bibr" rid="B42">Tadono et al. (2014)</xref>
</td>
</tr>
<tr>
<td align="left">MERIT</td>
<td align="char" char=".">2017</td>
<td align="center">2000</td>
<td>DEM Ensemble</td>
<td align="center">5</td>
<td align="center">90</td>
<td>
<xref ref-type="bibr" rid="B49">Yamazaki et al. (2017)</xref>
</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>The SRTM DEM was produced by the U.S. National Aeronautics and Space Administration (NASA) and the National Geospatial Intelligence Agency (NGA) through an interferometric synthetic aperture radar technique (<xref ref-type="bibr" rid="B21">USGS, 2009</xref>) using data acquired in February 2000 from the Space Shuttle Endeavour. This data was made publicly available in 2015 as a 30&#xa0;m resolution DEM. The data was further edited over the past several years through the addition of IceSat data for elevation corrections and further refinement of high topographic relief areas, yielding the 30&#xa0;m resolution DEM called the SRTM 1 Arc Sec DEM that was used for this study (<xref ref-type="bibr" rid="B38">Rodr&#xed;guez et al., 2006</xref>). This DEM was created with a C-band radar wavelength, which penetrates partially into the canopies of trees (<xref ref-type="bibr" rid="B29">Meyer, 2019</xref>). Therefore, buildings and vegetation can cause artifacts in the SRTM DEM that could affect the topography in comparison to a true digital terrain model (<xref ref-type="bibr" rid="B29">Meyer, 2019</xref>).</p>
<p>The ASTER GDEM was generated by NASA and the Japanese Ministry of Economy, Trade, and Industry (METI), using photogrammetric processing of near infrared (0.78&#x2013;0.86&#xa0;&#x3bc;m) 15&#xa0;m resolution stereo images. The images were acquired by the ASTER sensor from the Terra satellite from 2000 to 2008 (<xref ref-type="bibr" rid="B18">Hirano et al., 2003</xref>), with the first version being released in 2009. The dataset has been updated twice since the first version, with version two and three released in 2011 and 2019, respectively. For each version, additional stereo-pairs were added, and the algorithm to create the DEM was adjusted to improve the spatial resolution, and the horizontal and vertical accuracies (<xref ref-type="bibr" rid="B30">NASA, 2020</xref>). The most recent version, ASTERv3, was used for this study, which will be referred to as ASTER throughout the remainder of the paper.</p>
<p>The first version of the Advanced Land Observing Satellite (ALOS) World DEM 3D (AWD3D30) was openly released in 2015. Subsequently, updated versions have been released which incorporate corrections based on IceSat data, several low-quality areas, and correct for cloud and snow pixels. The most recent release of the AWD3D was in 2019. AW3D30 2.2, which was used for this study, improvements include an updated coastline and the inclusion of missing tiles over land areas from other existing DEMs (<xref ref-type="bibr" rid="B20">JAXA, 2020</xref>).</p>
<p>The Multi-Error-Removed-Improved-Terrain (MERIT) DEM was developed by removing several errors that were present in existing global DEMs, such as stripe noise, absolute bias, speckle noise, and tree height bias (<xref ref-type="bibr" rid="B28">MERIT, 2018</xref>). The two main input DEMs for this were the SRTM v2.1 and the ALOS World 3D DEM v1. Both of the input DEMs are 30&#xa0;m resolution; however, the resulting MERIT DEM is 90&#xa0;m. Additional data that were used to help improve the DEM included IceSat/GLAS, Landsat NDVI, and JAMSTEC water body data (<xref ref-type="bibr" rid="B49">Yamazaki et al., 2017</xref>).</p>
</sec>
</sec>
<sec id="s2-3">
<title>2.3 DEM Comparison</title>
<p>Two standard methods to compare DEMs are through Root Mean Square Error (RMSE) and spatial differencing. RMSE represents the absolute vertical variance, while a spatial differencing represents a spatial analysis of DEM elevation differences across the landscape. To appropriately compare the DEMs to one another, they were re-projected to the one common projection and vertical datum (<xref ref-type="fig" rid="F2">Figure 2</xref>).</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>Flow chart of the three primary comparisons performed between the DEMs.</p>
</caption>
<graphic xlink:href="fenvs-10-880840-g002.tif"/>
</fig>
<sec id="s2-3-1">
<title>2.3.1 Root Mean Square Error</title>
<p>To determine the absolute vertical error for each of the global DEMs, random points were selected that intersect both the LiDAR DEM and the global DEMs. The elevation values for each of these respective DEMs were extracted and the Root Mean Square Error (RMSE) was calculated for each of the DEMs. The RMSE is a way to estimate error between two datasets and is always positive with a value of zero indicating a perfect fit to the data. The RMSE is calculated using the equation below:<disp-formula id="e1">
<mml:math id="m1">
<mml:mrow>
<mml:mi>R</mml:mi>
<mml:mi>M</mml:mi>
<mml:mi>S</mml:mi>
<mml:mi>E</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mo>&#xa0;</mml:mo>
<mml:msqrt>
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:msubsup>
<mml:mstyle displaystyle="true">
<mml:mo>&#x2211;</mml:mo>
</mml:mstyle>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi>n</mml:mi>
</mml:msubsup>
<mml:msup>
<mml:mrow>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mi>a</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>b</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msup>
</mml:mrow>
<mml:mi>n</mml:mi>
</mml:mfrac>
</mml:mrow>
</mml:msqrt>
</mml:mrow>
</mml:math>
<label>(1)</label>
</disp-formula>Where <inline-formula id="inf1">
<mml:math id="m2">
<mml:mrow>
<mml:msub>
<mml:mi>a</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the global DEM, <inline-formula id="inf2">
<mml:math id="m3">
<mml:mrow>
<mml:msub>
<mml:mi>b</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the LiDAR DEM, and n is the number of randomly selected points.</p>
</sec>
<sec id="s2-3-2">
<title>2.3.2 Absolute Height Difference</title>
<p>Each of the global DEMs was subtracted from the LiDAR DEM (<xref ref-type="fig" rid="F2">Figure 2</xref>; <xref ref-type="disp-formula" rid="e1">Eq. 1</xref>). The resultant rasters illustrate the deviations in elevation by the global DEMs in comparison to the LiDAR DEM. This highlights the relative accuracies across the study area.</p>
</sec>
</sec>
<sec id="s2-4">
<title>2.4 Height Above Nearest Drainage</title>
<p>The Height Above Nearest Drainage (HAND) is a terrain model which normalizes the topography to the local relative heights along a drainage network and is widely accepted for simple hydrologic applications (<xref ref-type="bibr" rid="B37">Rodda, 2005</xref>; <xref ref-type="bibr" rid="B31">Nobre et al., 2011</xref>). HAND has been applied to a variety of applications from the creation of synthetic rating curves (<xref ref-type="bibr" rid="B51">Zheng et al., 2018</xref>) to simple flood modeling (<xref ref-type="bibr" rid="B13">Garousi-Nejad et al., 2019</xref>). The primary inputs into HAND are a flow accumulation raster and an extracted stream elevation raster (<xref ref-type="fig" rid="F2">Figure 2</xref>). These inputs require additional DEM pre-processing including hydrologically conditioning by filling for sinks and calculating the flow direction before determining the flow accumulation. The resultant HAND raster shows the height of each pixel above the nearest drainage point. From the HAND raster, the surface area at incremental flood depths is calculated by selecting the pixels that are below a specified height above the nearest drainage.</p>
</sec>
</sec>
<sec id="s3">
<title>3 Results</title>
<sec id="s3-1">
<title>3.1 DEM Comparison</title>
<p>The AW3D30 2.2 had the lowest RMSE with a value of 1.19&#xa0;m while the ASTERv3 had the highest overall RMSE of 4.22&#xa0;m. SRTM 1 Arc Sec and MERIT fell in between with RMSEs of 2.38 and 1.98&#xa0;m, respectively. The low RMSE of the AW3D30 2.2 indicates the DEM differed the least from the LiDAR DEM while the higher RMSE of the ASTERv3 indicates the DEM differed the greatest from the LiDAR DEM.</p>
<p>The RMSE was also evaluated for 10-m elevation increments from 200 to 280&#xa0;m to determine if there was a relationship between the RMSE and the elevation heights. The elevation ranges were equal in elevation range but not size; therefore, sample points were randomly selected in proportion to the percentage of the total area. The higher in elevation the band, the larger the RMSE for the given DEM. The AW3D30 had the smallest range of RMSEs from 1.74 to 4.61 while the MERIT DEM had the largest range of RMSEs from 1.63 to 12.55 (<xref ref-type="table" rid="T2">Table 2</xref>).</p>
<table-wrap id="T2" position="float">
<label>TABLE 2</label>
<caption>
<p>RMSE for each DEM at 10-m elevation intervals of the LiDAR DEM.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Elevation (m)</th>
<th align="center">SRTM</th>
<th align="center">ASTER</th>
<th align="center">AW3D30</th>
<th align="center">MERIT</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">200&#x2013;210</td>
<td align="char" char=".">4.54</td>
<td align="char" char=".">5.93</td>
<td align="char" char=".">3.34</td>
<td align="char" char=".">1.66</td>
</tr>
<tr>
<td align="left">210&#x2013;220</td>
<td align="char" char=".">2.15</td>
<td align="char" char=".">4.31</td>
<td align="char" char=".">1.74</td>
<td align="char" char=".">4.11</td>
</tr>
<tr>
<td align="left">220&#x2013;230</td>
<td align="char" char=".">3.42</td>
<td align="char" char=".">5.01</td>
<td align="char" char=".">2.16</td>
<td align="char" char=".">4.77</td>
</tr>
<tr>
<td align="left">230&#x2013;240</td>
<td align="char" char=".">3.52</td>
<td align="char" char=".">5.08</td>
<td align="char" char=".">2.39</td>
<td align="char" char=".">4.99</td>
</tr>
<tr>
<td align="left">240&#x2013;250</td>
<td align="char" char=".">3.76</td>
<td align="char" char=".">5.52</td>
<td align="char" char=".">2.64</td>
<td align="char" char=".">6.27</td>
</tr>
<tr>
<td align="left">250&#x2013;260</td>
<td align="char" char=".">4.20</td>
<td align="char" char=".">6.29</td>
<td align="char" char=".">2.91</td>
<td align="char" char=".">7.32</td>
</tr>
<tr>
<td align="left">260&#x2013;270</td>
<td align="char" char=".">5.42</td>
<td align="char" char=".">8.66</td>
<td align="char" char=".">3.83</td>
<td align="char" char=".">10.03</td>
</tr>
<tr>
<td align="left">270&#x2013;280</td>
<td align="char" char=".">6.37</td>
<td align="char" char=".">10.44</td>
<td align="char" char=".">4.61</td>
<td align="char" char=".">12.55</td>
</tr>
<tr>
<td align="left">Overall</td>
<td align="char" char=".">2.38</td>
<td align="char" char=".">4.22</td>
<td align="char" char=".">1.19</td>
<td align="char" char=".">1.98</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>Based on the histograms of the DEM difference rasters in <xref ref-type="fig" rid="F3">Figure 3</xref>, the SRTM and MERIT DEMs appear to underestimate the height, the AW3D30 overestimates the height, and ASTER both overestimates and underestimates the height across the study area. On average, SRTM and MERIT underestimated by 2.82 and 4.44&#xa0;m, respectively, while AW3D30 overestimated by 1.92&#xa0;m. Generally, the AW3D3 DEM 0slightly overestimated across the entire study area (<xref ref-type="fig" rid="F3">Figure 3A</xref>). The SRTM DEM underestimated the elevation primarily in the northern part of the study area (<xref ref-type="fig" rid="F3">Figure3B</xref>), overall these differences are fairly small compared to the MERIT DEM. The MERIT DEM underestimated primarily around the rivers, particularly along the braided channel in the southern part of the study area (<xref ref-type="fig" rid="F3">Figure 3C</xref>).</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>Spatial differences of the global DEMs from the LiDAR DEM. Red represents areas that are positive and the global DEM overestimates height compared to the LiDAR DEM, yellow no difference in the global DEM and the LiDAR, and blue is negative meaning the global DEM underestimates the height, compared to the LiDAR DEM.</p>
</caption>
<graphic xlink:href="fenvs-10-880840-g003.tif"/>
</fig>
<p>In contrast, the ASTER elevation differences across the study area were on both extremes of overestimating and underestimating the elevation which averaged to an overall underestimation of 0.92&#xa0;m. ASTER overestimated elevation along the primary Niger River riverbeds and underestimated in the land surrounding the braided channel (<xref ref-type="fig" rid="F3">Figure 3D</xref>). These elevation differences are highlighted in <xref ref-type="fig" rid="F3">Figure 3D</xref> as the only DEM with the largest range of elevation differences.</p>
</sec>
<sec id="s3-2">
<title>3.2 Height Above Nearest Drainage</title>
<p>The 1,500 square kilometer study area is characterized by low topographic relief and small tributaries that flow into the larger Niger River. The flood surface area derived from the HAND model was calculated at 1&#xa0;m flood depth increments, shown in <xref ref-type="table" rid="T3">Table 3</xref>. At the 1-m flood depth, ASTER covered the most surface area with 156.48&#xa0;<inline-formula id="inf3">
<mml:math id="m4">
<mml:mrow>
<mml:mi>k</mml:mi>
<mml:msup>
<mml:mi>m</mml:mi>
<mml:mn>2</mml:mn>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula> while MERIT had the lowest surface area with 80.25&#xa0;<inline-formula id="inf4">
<mml:math id="m5">
<mml:mrow>
<mml:mi>k</mml:mi>
<mml:msup>
<mml:mi>m</mml:mi>
<mml:mn>2</mml:mn>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula>. This was a similar pattern up through the 3-m flood height, where the LiDAR DEM surface area exceeded all other DEMs at 242.13&#xa0;<inline-formula id="inf5">
<mml:math id="m6">
<mml:mrow>
<mml:mi>k</mml:mi>
<mml:msup>
<mml:mi>m</mml:mi>
<mml:mn>2</mml:mn>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula>. The surface areas for ASTER, AW3D30, and SRTM were fairly similar to one another for the 3-m flood depth at 238.90<inline-formula id="inf6">
<mml:math id="m7">
<mml:mrow>
<mml:mi>k</mml:mi>
<mml:msup>
<mml:mi>m</mml:mi>
<mml:mn>2</mml:mn>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula>, 232.29<inline-formula id="inf7">
<mml:math id="m8">
<mml:mrow>
<mml:mi>k</mml:mi>
<mml:msup>
<mml:mi>m</mml:mi>
<mml:mn>2</mml:mn>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula>, and 238.67&#xa0;<inline-formula id="inf8">
<mml:math id="m9">
<mml:mrow>
<mml:mi>k</mml:mi>
<mml:msup>
<mml:mi>m</mml:mi>
<mml:mn>2</mml:mn>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula>, respectively. As detailed in <xref ref-type="table" rid="T3">Table 3</xref>, the pattern of flooded surface area in relation to the DEM resolution continued through the 10&#xa0;m flood depth where the flood extent surface areas were, from greatest to least, 441.37, 413.21, 412.08, 400.33, and 394.35&#xa0;<inline-formula id="inf9">
<mml:math id="m10">
<mml:mrow>
<mml:mi>k</mml:mi>
<mml:msup>
<mml:mi>m</mml:mi>
<mml:mn>2</mml:mn>
</mml:msup>
<mml:mo>&#xa0;</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula> for LiDAR, AW3D30, SRTM, ASTER, and MERIT, respectively.</p>
<table-wrap id="T3" position="float">
<label>TABLE 3</label>
<caption>
<p>Flood extents derived from each DEM for each 1-m flood depth interval in square kilometers.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">HAND (m)</th>
<th align="center">LiDAR</th>
<th align="center">SRTM</th>
<th align="center">ASTER</th>
<th align="center">AW3D30</th>
<th align="center">MERIT</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">1</td>
<td align="char" char=".">89.40</td>
<td align="char" char=".">144.33</td>
<td align="char" char=".">156.48</td>
<td align="char" char=".">129.83</td>
<td align="char" char=".">80.25</td>
</tr>
<tr>
<td align="left">2</td>
<td align="char" char=".">163.38</td>
<td align="char" char=".">193.25</td>
<td align="char" char=".">201.63</td>
<td align="char" char=".">186.74</td>
<td align="char" char=".">136.84</td>
</tr>
<tr>
<td align="left">3</td>
<td align="char" char=".">242.13</td>
<td align="char" char=".">238.67</td>
<td align="char" char=".">238.90</td>
<td align="char" char=".">232.29</td>
<td align="char" char=".">180.75</td>
</tr>
<tr>
<td align="left">4</td>
<td align="char" char=".">299.85</td>
<td align="char" char=".">275.47</td>
<td align="char" char=".">272.69</td>
<td align="char" char=".">273.05</td>
<td align="char" char=".">217.16</td>
</tr>
<tr>
<td align="left">5</td>
<td align="char" char=".">368.79</td>
<td align="char" char=".">305.45</td>
<td align="char" char=".">302.86</td>
<td align="char" char=".">305.45</td>
<td align="char" char=".">246.75</td>
</tr>
<tr>
<td align="left">6</td>
<td align="char" char=".">388.39</td>
<td align="char" char=".">332.26</td>
<td align="char" char=".">330.52</td>
<td align="char" char=".">333.95</td>
<td align="char" char=".">276.93</td>
</tr>
<tr>
<td align="left">7</td>
<td align="char" char=".">391.85</td>
<td align="char" char=".">358.53</td>
<td align="char" char=".">351.62</td>
<td align="char" char=".">357.61</td>
<td align="char" char=".">307.69</td>
</tr>
<tr>
<td align="left">8</td>
<td align="char" char=".">411.06</td>
<td align="char" char=".">380.42</td>
<td align="char" char=".">371.63</td>
<td align="char" char=".">380.60</td>
<td align="char" char=".">342.40</td>
</tr>
<tr>
<td align="left">9</td>
<td align="char" char=".">427.69</td>
<td align="char" char=".">398.80</td>
<td align="char" char=".">387.06</td>
<td align="char" char=".">399.54</td>
<td align="char" char=".">370.97</td>
</tr>
<tr>
<td align="left">10</td>
<td align="char" char=".">441.37</td>
<td align="char" char=".">412.08</td>
<td align="char" char=".">400.33</td>
<td align="char" char=".">413.21</td>
<td align="char" char=".">394.35</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>The RMSE was calculated for the HAND values of the global DEMs were compared to the LiDAR HAND values at 1-m increments. There is no distinctive pattern of a higher or lower HAND value being better in the global DEMs. The RMSEs of the HAND values for the whole study area were 2.98, 3.49, 2.44, and 3.05 for the SRTM, ASTER, AW3D30, and MERIT DEMs respectively. The ASTER RMSE was on the lower side for the first two HAND levels, but one of the highest for the remainder. The AW3D30 RMSEs remained one of the lowest RMSEs throughout all HAND levels (<xref ref-type="table" rid="T4">Table 4</xref>).</p>
<table-wrap id="T4" position="float">
<label>TABLE 4</label>
<caption>
<p>RMSE of each HAND value in 1-m increments for the global DEMs.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">HAND</th>
<th align="center">SRTM</th>
<th align="center">ASTER</th>
<th align="center">AW3D30</th>
<th align="center">MERIT</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">1</td>
<td align="char" char=".">2.15</td>
<td align="char" char=".">1.67</td>
<td align="char" char=".">1.03</td>
<td align="char" char=".">3.55</td>
</tr>
<tr>
<td align="left">2</td>
<td align="char" char=".">1.70</td>
<td align="char" char=".">1.77</td>
<td align="char" char=".">1.38</td>
<td align="char" char=".">2.20</td>
</tr>
<tr>
<td align="left">3</td>
<td align="char" char=".">3.81</td>
<td align="char" char=".">3.12</td>
<td align="char" char=".">2.53</td>
<td align="char" char=".">3.60</td>
</tr>
<tr>
<td align="left">4</td>
<td align="char" char=".">2.45</td>
<td align="char" char=".">2.65</td>
<td align="char" char=".">2.23</td>
<td align="char" char=".">2.30</td>
</tr>
<tr>
<td align="left">5</td>
<td align="char" char=".">1.97</td>
<td align="char" char=".">3.47</td>
<td align="char" char=".">1.22</td>
<td align="char" char=".">4.10</td>
</tr>
<tr>
<td align="left">6</td>
<td align="char" char=".">3.52</td>
<td align="char" char=".">4.61</td>
<td align="char" char=".">3.60</td>
<td align="char" char=".">3.24</td>
</tr>
<tr>
<td align="left">7</td>
<td align="char" char=".">3.33</td>
<td align="char" char=".">3.76</td>
<td align="char" char=".">1.21</td>
<td align="char" char=".">3.94</td>
</tr>
<tr>
<td align="left">8</td>
<td align="char" char=".">3.25</td>
<td align="char" char=".">3.79</td>
<td align="char" char=".">3.31</td>
<td align="char" char=".">2.37</td>
</tr>
<tr>
<td align="left">9</td>
<td align="char" char=".">3.03</td>
<td align="char" char=".">3.93</td>
<td align="char" char=".">2.50</td>
<td align="char" char=".">1.66</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>The flood extent values for the DEMs were graphed to better depict how the extents changed per the DEM as the flood level increased (<xref ref-type="fig" rid="F4">Figure 4</xref>). The general trend seen at higher flood levels (greater than 3&#xa0;m) is the LiDAR DEM had the greatest surface area, while the MERIT DEM had the least surface area. Under 3&#xa0;m flood depth, the MERIT DEM still had the least surface area, but the LiDAR DEM also had less surface area than the AW3D30, ASTER, and SRTM DEMs in contrast to situations in which the flood depth is greater than 3&#xa0;m (<xref ref-type="table" rid="T2">Table 2</xref>; <xref ref-type="fig" rid="F4">Figure 4</xref>).</p>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>Differences in flood extent as the flood depth increases from 0 to 10&#xa0;m for the LiDAR and global DEMs.</p>
</caption>
<graphic xlink:href="fenvs-10-880840-g004.tif"/>
</fig>
<p>The differences in the flooded surface area are more evident in certain parts of the study area, such as at the convergence of the rivers in the middle of the study area at the 6-m flood depth (<xref ref-type="fig" rid="F5">Figure 5</xref>). The 6-m flood depth depicts the DEM flood extent differences well, where the LiDAR has the largest flooded surface area, the 30&#xa0;m DEMs are about the same surface area, and the MERIT has the least flooded surface area.</p>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption>
<p>Comparisons of AW3D30, SRTM, MERIT, and ASTER DEMs [<bold>(A&#x2013;D),</bold> respectively] derived flood extents to the LiDAR DEM derived flood extents from the HAND model where white is agreement, red is the LiDAR DEM, and blue is the global DEM.</p>
</caption>
<graphic xlink:href="fenvs-10-880840-g005.tif"/>
</fig>
<p>The primary driver of the differences in the flood surface area is the resolution of the DEM (5, 30, or 90&#xa0;m). <xref ref-type="fig" rid="F5">Figure 5</xref> depicts an example of how the DEM affects the flood surface area when the flood depth is at 6&#xa0;m. There is one area in the middle of the image, northwest of the larger part of the river, where a large difference can be seen between the DEMs. The LiDAR flooded area almost covers the whole section, whereas the MERIT is not flooded. The AW3D30, ASTER, and SRTM flooded areas have somewhere in between the LiDAR and MERIT, with SRTM having a more flooded surface area in the region than ASTER and AW3D30.</p>
<p>Differences in flood extents derived from the HAND model were caused by the elevation differences (<xref ref-type="fig" rid="F6">Figure 6</xref>). At the 2&#xa0;m flood height, the overall surface area of ASTER was greater than the LiDAR DEM flood surface area at 201.63<inline-formula id="inf10">
<mml:math id="m11">
<mml:mrow>
<mml:mi>k</mml:mi>
<mml:msup>
<mml:mi>m</mml:mi>
<mml:mn>2</mml:mn>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula> and 163.38&#xa0;<inline-formula id="inf11">
<mml:math id="m12">
<mml:mrow>
<mml:mi>k</mml:mi>
<mml:msup>
<mml:mi>m</mml:mi>
<mml:mn>2</mml:mn>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula> respectively. The areas where the ASTER underestimated the elevation height, indicated in blue in <xref ref-type="fig" rid="F6">Figure 6C</xref>, were areas that flooded in the ASTER 2-m flood height than in the LiDAR DEM. Additionally, one of the river beds for which ASTERv3 overestimated the elevation height did not show as flooded in the ASTERv3 flood surface map (<xref ref-type="fig" rid="F6">Figure 6A</xref>), but was shown as flooded in the LiDAR DEM (<xref ref-type="fig" rid="F6">Figure 6B</xref>).</p>
<fig id="F6" position="float">
<label>FIGURE 6</label>
<caption>
<p>ASTER and LiDAR DEM extents at 2&#xa0;m flood height in <bold>(A,B),</bold> respectively. <bold>(C)</bold> ASTER and LiDAR distribution of elevation differences where red overestimates elevation and blue underestimates elevation <bold>(D)</bold> location indicator within the study area of A, B and C.</p>
</caption>
<graphic xlink:href="fenvs-10-880840-g006.tif"/>
</fig>
</sec>
</sec>
<sec id="s4">
<title>4 Discussion</title>
<sec id="s4-1">
<title>4.1 DEM Comparison</title>
<p>The range of RMSEs are a result of differences in land cover, processing methods, and date of data acquisition. The four global DEMs were edited and/or released in the last 5&#xa0;years; however, much of the input data to create the DEMs are 10&#x2013;20&#xa0;years old. Landscape changes due to tree growth, the formation sand dunes, and flood plain erosion and sedimentation, all contribute to uncertainties in freely available global DEMs. Land use changes and other built structures can heavily influence flood extent in ways that global DEMs cannot capture. Vegetation can increase the DEM elevation error by 5&#xa0;m or more, depending on the vegetation type (<xref ref-type="bibr" rid="B48">Weydahl et al., 2007</xref>; <xref ref-type="bibr" rid="B24">LaLonde et al., 2010</xref>). In semi-arid regions, such as the Sahel in West Africa, it is common for the presence of riparian vegetation and sparse vegetation throughout the rest of the landscape. The presence of vegetation along the rivers, and limited elsewhere, can significantly impact the flow of the rivers and the delineation of the drainage basin (<xref ref-type="bibr" rid="B33">Oksanen and Sarjakoski, 2005</xref>).</p>
<p>Along with date of data acquisition and land cover, the input data were acquired and processed differently. SRTM 1 data was acquired <italic>via</italic> C-band radar while ASTERv3 data were stereo-pair optical imagery. The acquisition processes result in variations in the portrayal of elevation in the DEM. The optical imagery represents the tops of trees as the elevation at a given point, while the radar can penetrate partially into the tree canopy, resulting in a lower elevation. The AW3D30 DEM data were also optical stereo images, while the MERIT DEM is an ensemble of multiple DEMs with different input data types. The input data for the DEMs determined the data processing techniques which are characterized by specific errors. InSAR, the process to create the DEM from radar data, is characterized by random errors through speckle noise (<xref ref-type="bibr" rid="B9">Farr et al., 2007</xref>), while the stereo-pair processing can lead to blunders and stripping in the DEM (<xref ref-type="bibr" rid="B43">Tarekegn and Sayama, 2013</xref>). These errors impact the overall accuracy and RMSE.</p>
<p>The RMSEs for all four DEMs were lower than those of previous studies as well as the global RMSEs (<xref ref-type="bibr" rid="B11">Florinsky et al., 2018</xref>; <xref ref-type="bibr" rid="B23">Kramm and Hoffmeister, 2019</xref>; <xref ref-type="bibr" rid="B50">Yap et al., 2019</xref>). All four of the DEMs had a RMSE of at least 4&#xa0;m less than their globally published RMSEs (<xref ref-type="table" rid="T1">Table 1</xref>). SRTM products differed from previous literature for RMSE and the overall elevation. In this study, on average, the SRTM DEM was lower than the LiDAR DEM by 2.82 m; however, studies found that previous versions of the SRTM DEM are on average higher globally than truth datasets which is why local studies such as this one are important (<xref ref-type="bibr" rid="B25">Li and Wong, 2010</xref>; <xref ref-type="bibr" rid="B19">Jarihani et al., 2015</xref>; <xref ref-type="bibr" rid="B7">Bhuyian and Kalyanapu, 2018</xref>). The ASTER DEM coincided with these studies as on average it was lower in elevation than the LiDAR DEM. The discrepancy in the average elevation differences for the SRTM DEM and the RMSEs for all DEMs could be attributed to the version of the DEM used in the study as well as the study area characteristics. This study used the most recently released versions of the DEMs, while most of the studies used earlier versions. Additionally, most DEM comparison studies are in areas with high topographic relief and vegetation, in contrast to the low topographic relief and sparse vegetation of Niger (<xref ref-type="bibr" rid="B11">Florinsky et al., 2018</xref>; <xref ref-type="bibr" rid="B46">Watson et al., 2019</xref>). There are strong correlations between vegetation height and DEM error (<xref ref-type="bibr" rid="B22">Kellndorfer et al., 2004</xref>), therefore the presence or absence of vegetation is a plausible driving factor in the RMSE and elevation differences between previous studies and this study.</p>
</sec>
<sec id="s4-2">
<title>4.2 Flood Applications</title>
<p>The study corroborated previous studies that found the DEM resolution may impact the flood model (<xref ref-type="bibr" rid="B35">Poulter and Halpin, 2008</xref>; <xref ref-type="bibr" rid="B12">Gallegos et al., 2009</xref>) as demonstrated in the flood depths from three to 10&#xa0;m where as spatial resolution increased, the flood extent area decreased (<xref ref-type="table" rid="T2">Table 2</xref>). However, the flood depths below the 3&#xa0;m HAND value did not correlate to the resolution. Before the 3-m depth, the 30&#xa0;m resolution DEMs had the largest flood extent, then the 5&#xa0;m DEM, followed by the 90&#xa0;m DEM. This suggests that DEM resolution is not the only factor and may not be the dominant factor that influences variations among flood results (<xref ref-type="bibr" rid="B25">Li and Wong, 2010</xref>).</p>
<p>While resolution and total flood extent surface area are related, there are differences amongst the DEMs for where flooding occurs at a given flood depth which is not directly correlated with the resolution. For example, at the 6-m flood depth (<xref ref-type="fig" rid="F5">Figure 5</xref>), the intersection of the two main branches in the study area is flooded in the LiDAR DEM and not flooded in the MERIT DEM based HAND model flood extents. While these differences coincide with the resolution, the 30&#xa0;m DEMs vary in their flood extents. ASTERv3 is almost completely flooded in this area, like the LiDAR DEM, while AW3D30 and SRTM are less flooded. If resolution were the only factor influencing flood estimation, these DEMs should have similar flood estimates (<xref ref-type="bibr" rid="B15">Hawker et al., 2018</xref>). The variations in the flood extent within the 30&#xa0;m resolution DEMs must then be related to the other sources of error such as random error, blunders, or processing methodologies.</p>
<p>ASTER, SRTM, and AW3D30 all had different spatial distributions of elevation differences (<xref ref-type="fig" rid="F3">Figure 3</xref>) which translated into variations in flood extent at the different flood heights. For example, the elevation of the DEM has an impact flood extent where the ASTER elevation is higher than the LiDAR along the central western edge of the study area. AW3D30 overestimates elevation in this area which translates into no flooded area in the 6-m flood height, while SRTM underestimates the elevation and is flooded for this area (<xref ref-type="fig" rid="F3">Figures 3</xref>, <xref ref-type="fig" rid="F4">4</xref>). The location and distribution of the elevation differences for a given DEM impact where the model simulates flood extent. In the southern part of ASTER, the riverbed elevations are higher than the LiDAR DEM (<xref ref-type="fig" rid="F6">Figure 6</xref>). This overestimation of elevation leads to one of the rivers not being flooded in the 2-m flood height while in the LiDAR DEM the river is flooded. The relative accuracy and relationship of the elevation measurements to one another are further demonstrated with the RMSEs of the HAND values. As each of the DEMs over or underestimates elevations are various points in the study area in comparison to the LiDAR, their HAND values also differ from the LiDAR DEM. The AW3D30 DEM had the lowest RMSE for both the absolute accuracy and the relative accuracy when compared to the LiDAR DEM while the ASTER DEM had the highest RMSE for both. While these two assessments agree which of these two DEMs are most like the LiDAR DEM, the SRTM and MERIT DEMs are flipped. This illustrates that it is important to understand the holistic impact the choice of the DEM may have on the analysis in selecting one for analysis. While a higher resolution DEM such as the LiDAR DEM would provide the most detail and information for a decision maker, this is not realistic, especially in data sparse areas. Therefore, the information from this study can be used to assist in the selection of the input DEM for the flood analyses.</p>
<p>Local water management authorities often rely on one flood model with one DEM input to understand which areas are most vulnerable to flooding and to make decisions on providing support. The differences in DEM resolution as well as the overall absolute and relative accuracy impact the results of flood models. The coarser the resolution of the DEM, the less the smaller tributaries are captured in the topography and the less the smaller differences in elevation change are captured resulting in less flooded surface in the models. In areas with low topographic relief, such as Niger, where 2-m RMSE is the difference to a house flooding, high-resolution DEMs are important for flood planning. The recently released Forest and Building Removed Copernicus DEM (FABDEM) (<xref ref-type="bibr" rid="B16">Hawker et al., 2022</xref>) may improve upon the effects of the riparian vegetation impacts. Additionally, the high-resolution 2-m EarthDEM is an upcoming DEM that will be open to the public (<xref ref-type="bibr" rid="B2">NCSA, 2021</xref>) and can be used in applications that require elevation data higher resolution than 30&#xa0;m. As these new technologies become available it is important to increase the understanding of the impact of DEMs on flood modeling and move beyond the impact of the other hydrologic components (<xref ref-type="bibr" rid="B7">Bhuyian and Kalyanapu, 2018</xref>) so decision makers can plan accordingly with the best information possible.</p>
</sec>
</sec>
<sec id="s5">
<title>5 Discussion</title>
<p>The objectives of this study were to compare the differences of commonly used, open, quasi-global DEMs and understand how these differences affect simulated flood extent when used in the Height Above Nearest Drainage model. When comparing absolute elevations with a local LiDAR dataset, AW3D30 had the lowest RMSE followed by MERIT and SRTM, with ASTERv3 having the highest RMSE. Overall, MERIT, SRTM and ASTERv3 have lower elevations than the LiDAR DEM while AW3D30 has a higher elevation than the LiDAR. These differences were spatially different; where the DEM overestimated or underestimated elevation were geographically independent. Based upon the study&#x2019;s results, the AW3D30 DEM would be the best suited for the flood applications in areas similar to the study area. The spatial distribution of the elevation differences combined with the DEM horizontal resolution resulted in variations in the flood extent at various flood heights. The variations in the flood extents portrayed the importance in understanding the potential errors and impacts different DEMs have on the overall flood extent when using a HAND-based model. Depending on the DEM used, officials would make predictions on future flood regions and make decisions based on those predictions. As more data becomes available in this age of free and open data, it is important to understand the implications of choosing one dataset over another for decision making.</p>
</sec>
</body>
<back>
<sec id="s6">
<title>Data Availability Statement</title>
<p>The raw data supporting the conclusion of this article will be made available by the authors, without undue reservation.</p>
</sec>
<sec id="s7">
<title>Author Contributions</title>
<p>RM conducted the analysis, writing, and formulation of the idea. EC, RG, and BM supported the formulation of the idea and provided comments on the content of the paper.</p>
</sec>
<sec id="s8">
<title>Funding</title>
<p>This work was funded through Co-operative agreement number: NNM11AA01A.</p>
</sec>
<sec sec-type="COI-statement" id="s9">
<title>Conflict of Interest</title>
<p>The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec 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>
<ack>
<p>Thank you to SERVIR Global and the SERVIR Science Coordination Office for their technical support and encouragement. The Kandaji Dam Authority is thanked for providing the LiDAR data and relevant documentation. We thank AGRHYMET Regional Center and SERVIR-West Africa for their support in this research. ASTER GDEM is a product of NASA and METI. The AW3D30 DEM is provided by the Japan Aerospace Exploration Agency (JAXA) at <ext-link ext-link-type="uri" xlink:href="http://www.eorc.jaxa.jp/ALOS/en/aw3d30/">http://www.eorc.jaxa.jp/ALOS/en/aw3d30/</ext-link>.</p>
</ack>
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