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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Earth Sci.</journal-id>
<journal-title>Frontiers in Earth Science</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Earth Sci.</abbrev-journal-title>
<issn pub-type="epub">2296-6463</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="publisher-id">633665</article-id>
<article-id pub-id-type="doi">10.3389/feart.2021.633665</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Earth Science</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Investigation of the Effect of the Dataset Size and Type in the Earthquake-Triggered Landslides Mapping: A Case Study for the 2018 Hokkaido Iburu Landslides</article-title>
<alt-title alt-title-type="left-running-head">Comert</alt-title>
<alt-title alt-title-type="right-running-head">Earthquake-Triggered Landslides Mapping</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Comert</surname>
<given-names>Resul</given-names>
</name>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
<uri xlink:href="http://loop.frontiersin.org/people/1045684/overview"/>
</contrib>
</contrib-group>
<aff>Department of Geomatics Engineering, Faculty of Engineering and Natural Sciences, Gumushane University, <addr-line>Gumushane</addr-line>, <country>Turkey</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/957231/overview">Tolga Gorum</ext-link>, Istanbul Technical University, Turkey</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/1028904/overview">Fushun Balik Sanli</ext-link>, Y&#x131;ld&#x131;z Technical University, Turkey</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1160872/overview">Zeinab Shirvani</ext-link>, Technische Universit&#xe4;t Dresden, Germany</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Resul Comert, <email>rcomert@gumushane.edu.tr</email>
</corresp>
<fn fn-type="other">
<p>This article was submitted to Geohazards and Georisks, a section of the journal Frontiers in Earth Science</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>25</day>
<month>02</month>
<year>2021</year>
</pub-date>
<pub-date pub-type="collection">
<year>2021</year>
</pub-date>
<volume>9</volume>
<elocation-id>633665</elocation-id>
<history>
<date date-type="received">
<day>25</day>
<month>11</month>
<year>2020</year>
</date>
<date date-type="accepted">
<day>11</day>
<month>01</month>
<year>2021</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2021 Comert.</copyright-statement>
<copyright-year>2021</copyright-year>
<copyright-holder>Comert</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>Rapid mapping of landslides that occur after an earthquake is important for rapid crisis management. In this study, experimental research was conducted on the size of the model area and the data types used in developing classifiers for the supervised classification approaches used in rapid landslide mapping. The Hokkaido Iburu earthquake zone that occurred on September 6, 2018, was selected as the study area. PlanetScope pre-event and post-event images and ALOS-PALSAR Digital Elevation Model (DEM) were used in the analysis processes. In this context, five model areas with different sizes and one test area were determined. Object-based image analysis (OBIA) was used as a landslide mapping approach. Random Forest classifier, which is a supervised classification algorithm, was performed in the mapping of image objects produced by the segmentation stage of OBIA. Two different data sets were created for landslide mapping: change-based dataset and post-event dataset. The change-based dataset is generated from change data such as the difference of normalized difference vegetation index (&#x3b4;NDVI), change detection Image (CDI), princiable component analysis (PCA), and Independent component analysis (ICA) which are used in change detection applications. The post-event dataset was created from data generated from post-event image bands. When the obtained results were examined, higher accuracy results were obtained with the post-event dataset. Increasing the size of the model area, in other words, increasing the training data slightly increases the accuracy of landslide mapping. However, a model area that represents the region to be mapped in small sizes to make rapid decisions provides a 94% F-measure accuracy for earthquake-triggered landslide detection.</p>
</abstract>
<kwd-group>
<kwd>OBIA (object based image analysis)</kwd>
<kwd>random forest</kwd>
<kwd>landslide mapping</kwd>
<kwd>hokkaido earthquake</kwd>
<kwd>planetScope</kwd>
</kwd-group>
</article-meta>
</front>
<body>
<sec id="s1">
<title>Introduction</title>
<p>Earthquakes are natural events that cause great damage to nature, buildings, engineering structures, and cause human death (<xref ref-type="bibr" rid="B16">Gorum and Carranza 2015</xref>). Moderate and severe magnitude earthquakes trigger thousands of landslides, especially in rugged and high-slope mountainous regions (<xref ref-type="bibr" rid="B17">Gorum et al., 2013</xref>; <xref ref-type="bibr" rid="B40">Tanya&#x15f; et al., 2017</xref>). For example, in the 2008 Wenchuan, China Mw 7.9 earthquake, there were about 200,000 landslides (<xref ref-type="bibr" rid="B41">Tian et al., 2019</xref>), about 5,000 landslides in the January 12, 2010 Mw 7.0 Haiti earthquake (<xref ref-type="bibr" rid="B17">Gorum et al., 2013</xref>), more than 2,000 landslides in the 2015 Gorkha, Nepal Mw 7.8 earthquake, and about 6,000 landslides in the 2018 Hokkaido Iburu Mw 6.7 earthquake (<xref ref-type="bibr" rid="B45">Yamagishi and Yamazaki 2018</xref>). Landslides that appear as a secondary effect of earthquakes cause human deaths and economic losses. Fatal landslides occurred in 76 of the 196 earthquakes between 1811 and 2016. These fatalities correspond to 17.7% (213,913 people) of deaths caused by earthquakes (<xref ref-type="bibr" rid="B23">Jessee et al., 2020</xref>). Earthquake-triggered landslides accounted for 5.2% ($ 170 billion) of economic damage from earthquakes between 1900 and 2016 (<xref ref-type="bibr" rid="B11">Daniell et al., 2017</xref>). Therefore, rapid mapping of landslides is important for rapid response to disaster areas and crisis management.</p>
<p>Active and passive remote sensing systems offer great advantages in rapid landslide mapping (<xref ref-type="bibr" rid="B2">Aimaiti et al., 2019</xref>). With remote sensing systems, Optical images (<xref ref-type="bibr" rid="B48">Zhao et al., 2017</xref>; <xref ref-type="bibr" rid="B35">Shao et al., 2019</xref>), synthetic aperture radar (SAR) (<xref ref-type="bibr" rid="B2">Aimaiti et al., 2019</xref>; <xref ref-type="bibr" rid="B1">Adriano et al., 2020</xref>), LIDAR systems (<xref ref-type="bibr" rid="B26">Liu et al., 2019</xref>), Unmanned Aerial Vehicle (UAV) systems (<xref ref-type="bibr" rid="B10">Comert et al., 2019</xref>) or synthesis of optical and SAR images (<xref ref-type="bibr" rid="B37">Shirvani et al., 2019</xref>) can be used in the landslide mapping. The most common method preferred in mapping landslides is visual image interpretation (<xref ref-type="bibr" rid="B18">Guzzetti et al., 2012</xref>; <xref ref-type="bibr" rid="B34">Rosi et al., 2018</xref>). Although the image interpretation provides high accuracy, it is a slow method that is not suitable at the time of rapid intervention since the landslides are mapped by the expert with image interpretation and manual digitization (<xref ref-type="bibr" rid="B18">Guzzetti et al., 2012</xref>). Therefore, automatic landslide mapping is an important factor for post-disaster crisis management. Image classification approaches (<xref ref-type="bibr" rid="B43">Vamsee et al., 2018</xref>) and change detection methods (<xref ref-type="bibr" rid="B27">Lu et al., 2019</xref>) are used in automatic landslide mapping. Since change detection methods require pre-event images, they present a disadvantage in mapping the landslide events triggered by the earthquake. However, it is a useful method in case of the pre-event image available (<xref ref-type="bibr" rid="B46">Yang and Chen 2010</xref>; <xref ref-type="bibr" rid="B27">Lu et al., 2019</xref>). Classification methods are generally carried out on post-event images (<xref ref-type="bibr" rid="B39">Stumpf and Kerle 2011</xref>; <xref ref-type="bibr" rid="B14">Dou et al., 2015</xref>). The disadvantage of this method in making rapid decisions is that it takes time to generate the training dataset. However, when the classification model is developed over the appropriate training dataset, the mapping process is shortened (<xref ref-type="bibr" rid="B12">Danneels et al., 2007</xref>; <xref ref-type="bibr" rid="B39">Stumpf and Kerle 2011</xref>; <xref ref-type="bibr" rid="B31">Mondini et al., 2011</xref>).</p>
<p>Image classification is used in landslide mapping in two approaches, pixel-based image analysis (PBIA) (<xref ref-type="bibr" rid="B12">Danneels et al., 2007</xref>) and object-based image analysis (OBIA) (<xref ref-type="bibr" rid="B28">Martha et al., 2010</xref>; <xref ref-type="bibr" rid="B39">Stumpf and Kerle 2011</xref>; <xref ref-type="bibr" rid="B19">H&#xf6;lbling et al., 2015</xref>; <xref ref-type="bibr" rid="B37">Shirvani et al., 2019</xref>). After the landslide events, different sizes of landslides can occur in the relevant area. High spatial resolution images offer great advantages to detect landslides of different sizes. OBIA has become more popular in landslide mapping in the last decade since misclassified pixels have emerged from the landslide mapping from high spatial resolution images with PBIA (<xref ref-type="bibr" rid="B18">Guzzetti et al., 2012</xref>; <xref ref-type="bibr" rid="B49">Zhong et al., 2020</xref>). OBIA is applied in two different ways in landslide mapping: rule-based (<xref ref-type="bibr" rid="B28">Martha et al., 2010</xref>; <xref ref-type="bibr" rid="B20">H&#xf6;lbling et al., 2012</xref>; <xref ref-type="bibr" rid="B10">Comert et al., 2019</xref>) and supervised mapping (<xref ref-type="bibr" rid="B39">Stumpf and Kerle 2011</xref>; <xref ref-type="bibr" rid="B37">Shirvani et al., 2019</xref>). In the landslide mapping process, landslides should be separated from different land use classes. A large number of object features must be used for this process. Rule-based mapping is a slow method for complex areas. since the object features and threshold values that separate the classes must be determined by an expert (<xref ref-type="bibr" rid="B39">Stumpf and Kerle, 2011</xref>). In supervised mapping performed with a selected algorithm such as random forest, the features used to separate the classes are automatically determined, and rapid results are produced by the mapping process made on the training data to be produced in the appropriate size and number (<xref ref-type="bibr" rid="B39">Stumpf and Kerle 2011</xref>; <xref ref-type="bibr" rid="B37">Shirvani et al., 2019</xref>; <xref ref-type="bibr" rid="B36">Shirvani, 2020</xref>). Therefore, supervised mapping process will give rapid results in rapid intervention in crisis management.</p>
<p>In this study, the success of the size of the model area selected for training data, and the dataset type to be used in classification in the rapid detection of earthquake-triggered landslides were investigated. In particular, the following questions have been addressed:<list list-type="bullet">
<list-item>
<p>&#x2022; How enlarging the model area selected for training data affect earthquake-triggered landslide mapping accuracy?</p>
</list-item>
<list-item>
<p>&#x2022; Which of the datasets used in the classification stage is more useful?</p>
</list-item>
<list-item>
<p>&#x2022; Which image object feature from the selected data sets is important for landslide mapping?</p>
</list-item>
</list>
</p>
<p>For these purposes, the Hokkaido Iburu earthquake zone in Japan was chosen as the study area. PlanetScope images and ALOS-PALSAR Digital Elevation Model (DEM) were used as analysis data. OBIA was preferred as the mapping approach and the Random Forest (RF) algorithm was used as the classification method in the OBIA. RF algorithm, which is a fast machine learning classifier, was preferred in this study because it gives successful results in many areas such as landslide susceptibility mapping (<xref ref-type="bibr" rid="B13">Dou et al., 2019</xref>; <xref ref-type="bibr" rid="B36">Shirvani 2020</xref>), landslide mapping (<xref ref-type="bibr" rid="B39">Stumpf and Kerle 2011</xref>; <xref ref-type="bibr" rid="B8">Chen et al., 2017</xref>; <xref ref-type="bibr" rid="B37">Shirvani et al., 2019</xref>; <xref ref-type="bibr" rid="B29">Maxwell et al., 2020</xref>), burnt area mapping (<xref ref-type="bibr" rid="B33">Ramo and Chuvieco 2017</xref>).</p>
</sec>
<sec id="s2">
<title>Study Area and Dataset</title>
<sec id="s2-1">
<title>Study Area</title>
<p>The study area is located in the southwest of the Hokkaido region (<xref ref-type="fig" rid="F1">Figure 1A</xref>). The dominant land cover of the study area consists of forests and paddy fields and has a rugged, mountainous, and high slope topography (<xref ref-type="bibr" rid="B47">Zhang et al., 2019</xref>; <xref ref-type="bibr" rid="B1">Adriano et al., 2020</xref>). Hokkaido, which includes the study area, is a tectonically active region in the world. The faults and active faults in the region develop near the north-south strike (<xref ref-type="bibr" rid="B47">Zhang et al., 2019</xref>).</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>The study area selected for analysis: <bold>(A)</bold> The location of the epicenter of the earthquake and the study area (red polygon) in Hokkaido, <bold>(B)</bold> Model development and test areas determined for landslide mapping.</p>
</caption>
<graphic xlink:href="feart-09-633665-g001.tif"/>
</fig>
<p>On September 6, 2018, an earthquake with a magnitude of 6.7&#xa0;Mw and a depth of 37&#xa0;km occurred in the Iburu subprefecture of the southern Hokkaido province of Japan. With the powerful ground motion of the event, structural damage in buildings, liquefaction on the ground, and thousands of landslides occurred in areas close to the epicenter (42.691&#xb0;N, 142.007&#xb0;E) of the earthquake. Due to the earthquake, 41 people died and 691 people were injured; 390 buildings were destroyed, 1061 buildings were damaged, approximately 6000 landslides occurred (<xref ref-type="bibr" rid="B45">Yamagishi and Yamazaki 2018</xref>; <xref ref-type="bibr" rid="B47">Zhang et al., 2019</xref>). The reason for the large number of landslides triggered by the earthquake in the region is that the earthquake occurred one day after the typhoon Jebi, which accumulated approximately 100&#xa0;mm of precipitation in the region (<xref ref-type="bibr" rid="B45">Yamagishi and Yamazaki 2018</xref>). The majority of the coseismic landslides in the region consist of typical shallow debris landslides with a width of approximately 250&#xa0;m. The types of landslides are classified as planar and spoon type landslides such as rainfall-induced landslides (<xref ref-type="bibr" rid="B45">Yamagishi and Yamazaki 2018</xref>; <xref ref-type="bibr" rid="B47">Zhang et al., 2019</xref>). The areas selected within the scope of this study are located in the towns of Atsuma and Abira, where slope failures are densely distributed (<xref ref-type="fig" rid="F1">Figure 1B</xref>).</p>
</sec>
<sec id="s2-2">
<title>Data Sets</title>
<p>PlanetScope is a satellite constellation operated by Planet Labs that contains 130&#x2b; CubeSats (size: 10&#xa0;cm by 10&#xa0;cm by 30&#xa0;cm; weight: 4&#xa0;kg) that move in the sun-synchronous orbit. Using this satellite constellation, images are collected in an area of 200&#xa0;M &#x2b; km<sup>2</sup>/day. PlanetScope images consist of 4 spectral bands with 3.7&#xa0;m spatial, 16-bit radiometric, and 1-day temporal resolution (<xref ref-type="table" rid="T1">Table 1</xref>) (<xref ref-type="bibr" rid="B32">Planet, 2017</xref>). In this study, PlanetScope Level 3B multispectral surface reflectance products were used to create the change-based dataset and the post-event datasets. Level 3B surface reflectance products, which are orthorectified, are geometrically corrected images using Ground Control Points (GCPs) and fine Digital Elevation Models (DEMs) (<xref ref-type="bibr" rid="B44">Wicaksono and Lazuardi 2018</xref>; <xref ref-type="bibr" rid="B32">Planet, 2017</xref>). Also, the atmospheric corrections of these products were made by Planet Labs using the 6S radiative transfer model with ancillary data from MODIS (<xref ref-type="bibr" rid="B9">Cheng et al., 2020</xref>). After atmospheric and geometric corrections, the orthorectified images are presented to users by Planet Labs at 3&#xa0;m spatial resolution (<xref ref-type="bibr" rid="B32">Planet 2017</xref>). Within the scope of the study, images belonging to two different dates as pre-event (August 03, 2018) and post-event (September 21, 2018) were used (<xref ref-type="table" rid="T1">Table 1</xref>). These images were selected as the dates closest to each other, with no clouds on the study area. Also, ALOS-PALSAR 30&#xa0;m spatial resolution DEM data dated July 14, 2006 were used as auxiliary data to obtain the slope map of the study area.</p>
<table-wrap id="T1" position="float">
<label>TABLE 1</label>
<caption>
<p>PlanetScope Leve 3&#xa0;B product specification and image dates.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th rowspan="2" align="left">Band</th>
<th rowspan="2" align="center">Band range (nm)</th>
<th rowspan="2" align="center">Resolution</th>
<th colspan="2" align="center">Image dates</th>
</tr>
<tr>
<th align="center">Pre-event</th>
<th align="center">Post-event</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">Blue</td>
<td align="center">455&#x2013;515</td>
<td align="left">3&#xa0;m spatial res</td>
<td rowspan="4" align="center">August 3, 2018</td>
<td rowspan="4" align="center">September 21, 2018</td>
</tr>
<tr>
<td align="left">Green</td>
<td align="center">500&#x2013;590</td>
<td align="left">16-Bit radiometric res</td>
</tr>
<tr>
<td align="left">Red</td>
<td align="center">590&#x2013;670</td>
<td rowspan="2" align="left">1-day revisit time</td>
</tr>
<tr>
<td align="left">NIR</td>
<td align="center">780&#x2013;860</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>Five different model areas have been created to develop classifiers to be used in the mapping of landslides over the area chosen as the study area (<xref ref-type="fig" rid="F1">Figure 1B</xref>). The smallest of these model areas (Model Area 1) is 3 &#xd7; 3&#xa0;km in size. While determining this area, it has been taken into consideration that the test area has similar land use characteristics such as water, agricultural areas, roads, small settlements, landslides, and forest. Other model areas were obtained by enlarging the edges of the previous model area by 1.5&#xa0;km. The largest model area (Model Area 5) created in the area is 9 &#xd7; 9&#xa0;km in size.</p>
</sec>
</sec>
<sec sec-type="methods" id="s3">
<title>Methods</title>
<p>The methodology applied within the scope of the study is shown in <xref ref-type="fig" rid="F2">Figure 2</xref>. The landslide mapping process was carried out using the OBIA approach. OBIA and PBIA are two different approaches used in image classification. Spectral values of pixels are used when classifying images with PBIA, while spectral, geometric, textural, and spatial values of image objects are used for classification with OBIA. OBIA was preferred in this study because it reduces the problem of misclassification error in high spatial resolution images includes different image object metrics in addition to spectral features and reduces the data size (<xref ref-type="bibr" rid="B49">Zhong et al., 2020</xref>).</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>The methodology applied for the rapid detection of earthquake-triggered landslides in the study.</p>
</caption>
<graphic xlink:href="feart-09-633665-g002.tif"/>
</fig>
<sec id="s3-1">
<title>Creating Auxiliary Data</title>
<p>Auxiliary data such as band indices and change detection indices were generated to achieve change-based dataset and post-event datasets. Normalized difference vegetation index (NDVI), normalized difference water index (NDWI) and brightness index (BI), principal component analysis (PCA), change detection image (CDI), independent component analysis (ICA) were additional data generated.</p>
<p>NDVI (<xref ref-type="bibr" rid="B42">Tucker 1979</xref>) is an effective index used in the separation of green vegetation area from landslides. Therefore, it is used both in landslide mapping with change detection (<xref ref-type="bibr" rid="B27">Lu et al., 2019</xref>) and in landslide mapping from post-event images (<xref ref-type="bibr" rid="B28">Martha et al., 2010</xref>). NDVI<sub>post</sub> was used for the post-event dataset, <inline-formula id="inf1">
<mml:math id="minf1">
<mml:mrow>
<mml:mtext>&#x3b4;NDVI</mml:mtext>
</mml:mrow>
</mml:math>
</inline-formula> was used for the change-based dataset. NDWI (<xref ref-type="bibr" rid="B30">McFeeters 1996</xref>) was included in the post-event dataset to distinguish the water areas from the landslides (<xref ref-type="bibr" rid="B37">Shirvani et al., 2019</xref>).<disp-formula id="e1">
<mml:math id="me1">
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<mml:mo>,</mml:mo>
</mml:mrow>
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<label>(1)</label>
</disp-formula>
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<mml:math id="me2">
<mml:mrow>
<mml:mtext>&#x3b4;NDVI</mml:mtext>
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<label>(2)</label>
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<disp-formula id="e3">
<mml:math id="me3">
<mml:mrow>
<mml:mtext>NDWI</mml:mtext>
<mml:mo>&#x3d;</mml:mo>
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<mml:msub>
<mml:mtext>&#x3c1;</mml:mtext>
<mml:mrow>
<mml:mtext>NIR</mml:mtext>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfrac>
<mml:mo>,</mml:mo>
</mml:mrow>
</mml:math>
<label>(3)</label>
</disp-formula>where &#x3c1;<sub>Green</sub>, &#x3c1;<sub>Red</sub>, and &#x3c1;<sub>NIR</sub> are green, red, and near-infrared (NIR) bands of images, respectively.</p>
<p>BI has been used in post-event landslide mapping from satellite images in many studies. This index is obtained by dividing the sum of the spectral values of the bands (<italic>c</italic>
<sub>
<italic>i(vis)</italic>
</sub>) by the total number of bands (n<sub>vis</sub>) (<xref ref-type="bibr" rid="B39">Stumpf and Kerle 2011</xref>). BI was calculated using the four bands of PlanetScope post-event image bands.<disp-formula id="e4">
<mml:math id="me4">
<mml:mrow>
<mml:mtext>BI</mml:mtext>
<mml:mo>&#x3d;</mml:mo>
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<mml:mn>1</mml:mn>
<mml:mrow>
<mml:msub>
<mml:mtext>n</mml:mtext>
<mml:mrow>
<mml:mtext>vis</mml:mtext>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfrac>
<mml:mstyle displaystyle="true">
<mml:munderover>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mtext>n</mml:mtext>
<mml:mrow>
<mml:mtext>vis</mml:mtext>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:munderover>
<mml:mrow>
<mml:msub>
<mml:mi>c</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mi>v</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>s</mml:mi>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mstyle>
<mml:mo>.</mml:mo>
</mml:mrow>
</mml:math>
<label>(4)</label>
</disp-formula>
</p>
<p>PCA, a linear transformation method, converts a set of correlated numerical variables into non-correlated variables in a different orthogonal coordinate system. When a data set with N bands is given with PCA, the desired number of main components is calculated. The first PCA component contains the largest variance between the input bands, the second contains the second major variance not defined in the first component, and so on. In the calculation of the principal components, the n-dimensional data set is defined by the <inline-formula id="inf2">
<mml:math id="minf2">
<mml:mrow>
<mml:msup>
<mml:mi>X</mml:mi>
<mml:mi>T</mml:mi>
</mml:msup>
<mml:mo>&#x3d;</mml:mo>
<mml:mrow>
<mml:mo>[</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mi>X</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
<mml:mo>&#x2026;</mml:mo>
<mml:msub>
<mml:mi>X</mml:mi>
<mml:mi>n</mml:mi>
</mml:msub>
</mml:mrow>
<mml:mo>]</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula> matrix and the C covariance matrix. With the first scaled eigenvectors (<italic>e</italic>
<sub>
<italic>1i</italic>
</sub>) calculated from the covariance matrix, the first principal components (<italic>Y</italic>
<sub>
<italic>1</italic>
</sub>) are calculated as in <xref ref-type="disp-formula" rid="e5">Eq. 5</xref>. The other desired principal components are calculated similarly using the relevant eigenvector (<xref ref-type="bibr" rid="B31">Mondini et al., 2011</xref>). In this study, two different PCA data sets were produced. The first one is four main components produced from post-event image bands to use in the post-event dataset. The second one, for the change-based dataset, four main components were generated by using the red and NIR bands of pre-event and post-event images as <xref ref-type="bibr" rid="B27">Lu et al., (2019)</xref> stated in their articles.<disp-formula id="e5">
<mml:math id="me5">
<mml:mrow>
<mml:msub>
<mml:mi>Y</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mstyle displaystyle="true">
<mml:munderover>
<mml:mo>&#x2211;</mml:mo>
<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:munderover>
<mml:mrow>
<mml:msub>
<mml:mi>e</mml:mi>
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mi>i</mml:mi>
</mml:mrow>
</mml:msub>
<mml:msub>
<mml:mi>X</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mstyle>
<mml:mo>.</mml:mo>
</mml:mrow>
</mml:math>
<label>(5)</label>
</disp-formula>
</p>
<p>ICA is a geometric transformation that transforms variables used as inputs into statistically independent components. ICA is calculated by <xref ref-type="disp-formula" rid="e6">Eq. 6</xref>. Where A is the mixing matrix, s is the matrix of independent components and X represents the vector of input variables (<xref ref-type="bibr" rid="B21">Hyv&#xe4;rinen and Oja 2000</xref>).<disp-formula id="e6">
<mml:math id="me6">
<mml:mrow>
<mml:mtext>X</mml:mtext>
<mml:mo>&#x3d;</mml:mo>
<mml:mi>s</mml:mi>
<mml:mi>A</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mstyle displaystyle="true">
<mml:munderover>
<mml:mo>&#x2211;</mml:mo>
<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:munderover>
<mml:mrow>
<mml:msub>
<mml:mi>a</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:msub>
<mml:mi>s</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mstyle>
<mml:mo>.</mml:mo>
</mml:mrow>
</mml:math>
<label>(6)</label>
</disp-formula>
</p>
<p>CVA is a method used for mapping landslides from pre-and post-event images (<xref ref-type="bibr" rid="B25">Li et al., 2016</xref>; <xref ref-type="bibr" rid="B27">Lu et al., 2019</xref>). In this method, a change detection image (CDI) is created by determining the changes between multi-temporal image bands. The value of a pixel in the CDI is calculated by <xref ref-type="disp-formula" rid="e7">Eq. 7</xref>. where, the pixel value at pre-event t<sub>1</sub> time is <italic>I</italic>
<sub>
<italic>t1</italic>
</sub>, the pixel value at post-event time t<sub>2</sub> is <italic>l</italic>
<sub>
<italic>t2</italic>
</sub>
<italic>.</italic> b represents the number of satellite images band being processed.<disp-formula id="e7">
<mml:math id="me7">
<mml:mrow>
<mml:mi>&#x3c1;</mml:mi>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mi>I</mml:mi>
<mml:mo>)</mml:mo>
</mml:mrow>
<mml:mo>&#x3d;</mml:mo>
<mml:msup>
<mml:mrow>
<mml:mrow>
<mml:mo>[</mml:mo>
<mml:mrow>
<mml:mstyle displaystyle="true">
<mml:munderover>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>b</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi>n</mml:mi>
</mml:munderover>
<mml:mrow>
<mml:msubsup>
<mml:mrow>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
<mml:mi>b</mml:mi>
<mml:mn>2</mml:mn>
</mml:msubsup>
</mml:mrow>
</mml:mstyle>
</mml:mrow>
<mml:mo>]</mml:mo>
</mml:mrow>
</mml:mrow>
<mml:mrow>
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mo>/</mml:mo>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:mrow>
</mml:msup>
<mml:mo>.</mml:mo>
</mml:mrow>
</mml:math>
<label>(7)</label>
</disp-formula>
</p>
</sec>
<sec id="s3-2">
<title>Image Segmentation</title>
<p>Image segmentation is the first step of the OBIA process. At this stage, it is aimed to produce meaningful image objects from the layers subjected to segmentation. Multi-resolution segmentation (MRS) is the most preferred segmentation method in OBIA. In this method, the segmentation process starts at a pixel level, and the merging process takes place according to the spatial and spectral heterogeneity of the candidate selected image object with neighboring image objects (<xref ref-type="bibr" rid="B6">Benz and Schreier 2001</xref>; <xref ref-type="bibr" rid="B22">Jensen 2005</xref>). To create optimum image objects with the MRS method, the scale, shape, compactness, and layer weights must be determined by the user. The scale parameter controls the size or heterogeneity level of the image objects to be formed. If the scale parameter is defined as a large value, large image objects are produced, if a small value is defined, small image objects are produced. The shape parameter, which takes values between 0&#x2013;1, is used to determine the weights of spatial and spectral functions in the calculation of the merging factor. The compactness parameter controls the compactness and smoothness of the resulting image objects in the calculation of the shape function. Layer weights are used to define the importance of segmentation layers compared to other layers (<xref ref-type="bibr" rid="B3">Baatz et al., 2000</xref>). MRS parameters can be determined by automatic methods such as Estimation Scale Parameter-2 (ESP-2) (<xref ref-type="bibr" rid="B50">Dr&#x103;gu&#x163; et al., 2014</xref>), optimum scale parameter selector (OSPS) (<xref ref-type="bibr" rid="B43">Vamsee et al., 2018</xref>), or by the trial and error method (<xref ref-type="bibr" rid="B28">Martha et al., 2010</xref>; <xref ref-type="bibr" rid="B20">H&#xf6;lbling et al., 2012</xref>; <xref ref-type="bibr" rid="B37">Shirvani et al., 2019</xref>) based on visual analysis. In this study, the trial-error method was used to determine the appropriate segmentation parameters.</p>
</sec>
<sec id="s3-3">
<title>Creating Analysis Data</title>
<p>After the segmentation steps, image object attributes (features) were calculated. Image object attributes are the features used in classifying image objects. Textural, spectral, spatial, geometric, and contextual metrics can be used in landslide mapping (<xref ref-type="bibr" rid="B28">Martha et al., 2010</xref>; <xref ref-type="bibr" rid="B37">Shirvani et al., 2019</xref>). Two different data sets containing image object features were created for the mapping of landslides. These were change-based dataset and post-event dataset. Layers produced from pre-event and post-event bands were used in the creation of the change-based dataset, post-event bands and layers produced from them were used in the creation of the post-event dataset. The features of both datasets used in mapping landslides were selected using eCognition Developer 9.0 software. As a result of the literature review (<xref ref-type="bibr" rid="B28">Martha et al., 2010</xref>; <xref ref-type="bibr" rid="B37">Shirvani et al., 2019</xref>) and visual analysis, 40 image object features were selected for the change-based dataset (<xref ref-type="table" rid="T2">Table 2</xref>) and 43 for the post-event dataset (<xref ref-type="table" rid="T3">Table 3</xref>). Since it does not provide any discrimination in visual analysis, geometric features are not included in the datasets.</p>
<table-wrap id="T2" position="float">
<label>TABLE 2</label>
<caption>
<p>Selected image object features used for the change-based dataset.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Type</th>
<th align="center">Features</th>
<th align="center">Num. of features</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td rowspan="2" align="left">Spectral</td>
<td align="left">Mean of (ICA1, ICA2, ICA3, ICA4, CDI, &#x3b4;NDVI, PCA1<sub>change</sub>, PCA2<sub>change</sub>, PCA3<sub>change</sub>, PCA4<sub>change</sub>)</td>
<td rowspan="2" align="char" char=".">19</td>
</tr>
<tr>
<td align="left">Std. Dev. of (ICA1, ICA2, ICA3, ICA4, &#x3b4;NDVI, PCA2<sub>change</sub>, PCA3<sub>change</sub>, PCA4<sub>change</sub>) and Max. Diff</td>
</tr>
<tr>
<td align="left">Spatial</td>
<td align="left">Mean of slope</td>
<td align="char" char=".">1</td>
</tr>
<tr>
<td rowspan="5" align="left">Textural</td>
<td align="left">GLCM all direction</td>
<td rowspan="5" align="char" char=".">20</td>
</tr>
<tr>
<td align="left">Contrast of (PCA3<sub>change</sub>, PCA4<sub>change</sub>, ICA3)</td>
</tr>
<tr>
<td align="left">Dissimilarity of (PCA4<sub>change</sub>, PCA3<sub>change</sub>, ICA3, CDI)</td>
</tr>
<tr>
<td align="left">Entropy of (ICA1, ICA2, ICA3, ICA4, CDI, &#x3b4;NDVI, PCA1<sub>change</sub>, PCA2<sub>change</sub>, PCA3<sub>change</sub>, PCA4<sub>change</sub>)</td>
</tr>
<tr>
<td align="left">Homogeneity of (ICA3, PCA3<sub>change</sub>, PCA4<sub>change</sub>)</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>CDI, change detection image; ICA, independent component analysis; Max. Diff., maximum difference; PCA<sub>change</sub>, change based principal component analysis; Std. Dev., standard deviation.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<table-wrap id="T3" position="float">
<label>TABLE 3</label>
<caption>
<p>Selected image object features used for the post-event dataset.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Type</th>
<th align="center">Features</th>
<th align="center">Num. of features</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">Spectral</td>
<td align="left">Mean. of (R, G, B, NIR, NDVI, NDWI, BI, PCA1<sub>post</sub>, PCA2<sub>post</sub>, PCA3<sub>post</sub>, PCA4<sub>post</sub>), Max. Diff., std. Dev. of (R, G, B, NIR, NDVI, BI, PCA1<sub>post</sub>, PCA2<sub>post</sub>, PCA3<sub>post</sub>, PCA4<sub>post</sub>)</td>
<td align="char" char=".">22</td>
</tr>
<tr>
<td align="left">Spatial</td>
<td align="left">Mean and std. dev. of slope</td>
<td align="char" char=".">2</td>
</tr>
<tr>
<td rowspan="5" align="left">Textural</td>
<td align="left">GLCM all direction</td>
<td rowspan="5" align="char" char=".">19</td>
</tr>
<tr>
<td align="left">Contrast of (R, NIR, NDWI, BI)</td>
</tr>
<tr>
<td align="left">Dissimilarity of (NIR, R, BI, PCA2<sub>post</sub>, PCA4<sub>post</sub>)</td>
</tr>
<tr>
<td align="left">Entropy of (R, NIR, NDVI, BI)</td>
</tr>
<tr>
<td align="left">Homogeneity of (R, NIR, NDVI, BI, PCA2<sub>post</sub>, PCA4post)</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>B, blue; BI, brightness index; G, green; NDVI, normalized difference vegetation index; NDWI, normalized difference water index; NIR, near infrared; PCA<sub>post</sub>, post-event principal component analysis; R, red.</p>
</fn>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="s3-4">
<title>Landslide Mapping</title>
<p>The random forest (RF) algorithm was used for the landslide mapping. RF is an ensemble learning algorithm that generates multiple decision trees using randomly selected variables and subsets in a dataset. To generate the decision tree with the RF classifier, the user must determine the number of variables (m) used in each node and the number of randomly generated trees (N) to determine the best split. For a dataset consisting of M variables, the number of m variables to be randomly selected is determined as a value equal to or close to the <inline-formula id="inf3">
<mml:math id="minf3">
<mml:mrow>
<mml:msqrt>
<mml:mi>M</mml:mi>
</mml:msqrt>
</mml:mrow>
</mml:math>
</inline-formula>. With the determined parameters, trees with high variance and low bias are created by the algorithm. The final classifier is decided according to the voting for the power of decision trees to separate classes. The tree with the most votes is used for the respective class (<xref ref-type="bibr" rid="B7">Breiman 2001</xref>). While the classifier is developed with the RF algorithm, 2/3 of the dataset is used as training data and 1/3 as test data (<xref ref-type="bibr" rid="B5">Belgiu and Dr&#x103;gu&#x163; 2016</xref>). This ratio can be chosen between 80 and 20% to increase the number of data in the training dataset (<xref ref-type="bibr" rid="B33">Ramo and Chuvieco 2017</xref>). Another method used in model training is k-fold cross-validation, which is used in cases where there is limited validation data (<xref ref-type="bibr" rid="B24">Karlson et al., 2015</xref>). In the study, in the selection of optimum parameters for the RF classifier for each model area, the data belonging to the model areas were used as 80% training data and 20% test data. Classifier success to the obtained optimum parameters has been tested on the test area.</p>
</sec>
<sec id="s3-5">
<title>Accuracy Assessment</title>
<p>The success of the created classifiers on the test area was calculated according to the accuracy measures developed on the confusion matrix used in two-class classification applications (Eqs 8&#x2013;11) (Sokolova and Lapalme 2009). The correctly classified of LS and NLS image objects on the test data of the developed models were achieved by using the overall accuracy measures (Eq. 12) (<xref ref-type="bibr" rid="B4">Banko 1998</xref>).</p>
<fig id="F6" position="float">
<graphic xlink:href="feart-09-633665-fx1.tif"/>
</fig>
</sec>
</sec>
<sec sec-type="results" id="s4">
<title>Results</title>
<p>In the segmentation stage, different combinations of post-event image bands and layers produced for image difference were tried to identify appropriate input bands to create image objects representing landslides. As a result of the experiments, it was seen that the landslide objects were best obtained from the post-event R, G, B, NIR bands. Therefore, these layers were used as input bands in the segmentation process for all data sets. Different scale parameters (from 10 to 150 by 10), shape, compactness, and layer weights were tested in determining the optimum parameters for MRS. As a result of trial and error, suitable parameters were determined as a scale: 110, shape: 0.3, compactness: 0.7, layer weights as B &#x3d; G &#x3d; NIR &#x3d; 1, R &#x3d; 2. These values have been applied to be the same for all data sets. These values were used to create image objects for all data sets. Landslides in the image objects obtained result of the segmentation process consists of more than one image object. When the scale parameter was set to more than 110, it has been observed that especially small landslides mix with other land use classes. Image objects created by segmentation for model and test areas were labeled as Landslide (LS) and Non-Landslide (NLS) using pre-event and post-event images. The data sets created for the RF classifier and the numbers of image objects belonging to LS and NLS included in them are shown in <xref ref-type="table" rid="T4">Table 4</xref>.</p>
<table-wrap id="T4" position="float">
<label>TABLE 4</label>
<caption>
<p>The number of Landslide (LS) and Non-Landslide (NLS) image objects labeled for the models and test datasets to be used in the analysis process.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Data sets</th>
<th align="center">Number of NLS image objects</th>
<th align="center">Number of LS image objects</th>
<th align="center">Total number of image objects</th>
<th align="center">Area (km<sup>2</sup>)</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">Model Set1</td>
<td align="char" char=".">1669</td>
<td align="char" char=".">458</td>
<td align="char" char=".">2127</td>
<td align="char" char=".">9.00</td>
</tr>
<tr>
<td align="left">Model Set2</td>
<td align="char" char=".">3521</td>
<td align="char" char=".">1193</td>
<td align="char" char=".">4714</td>
<td align="char" char=".">20.25</td>
</tr>
<tr>
<td align="left">Model Set3</td>
<td align="char" char=".">6070</td>
<td align="char" char=".">2156</td>
<td align="char" char=".">8226</td>
<td align="char" char=".">36.00</td>
</tr>
<tr>
<td align="left">Model Set4</td>
<td align="char" char=".">9259</td>
<td align="char" char=".">3425</td>
<td align="char" char=".">12684</td>
<td align="char" char=".">56.25</td>
</tr>
<tr>
<td align="left">Model Set5</td>
<td align="char" char=".">12804</td>
<td align="char" char=".">4802</td>
<td align="char" char=".">17606</td>
<td align="char" char=".">81.00</td>
</tr>
<tr>
<td align="left">Test set</td>
<td align="char" char=".">4869</td>
<td align="char" char=".">1855</td>
<td align="char" char=".">6724</td>
<td align="char" char=".">31.64</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>The RF classifier development process was carried out using WEKA (Waikato Environment for Knowledge Analysis) data mining software. The process of determining the optimum number of trees and the minimum variable was carried out separately for each model area. The number of random trees was applied as different values from 100 to 1500. The number of m variables was applied to the model data sets as 6, 7, 8, 9 values. As a result of the experiments, the m value was determined as 8 for all data sets. The number of trees was defined as 600 for model areas 2 and model area 3 in the change-based dataset. The number of trees in model area 4 was determined as 400 for both the change-based dataset and the post-event dataset. The number of trees was set as 500 for the remaining classifiers. The success of the RF classifiers created for model areas according to the determined parameters on the test area is shown in <xref ref-type="table" rid="T5">Table 5</xref>. The overall accuracy success of RF classifiers on the test site for separating LS and NLS areas has been achieved by over 95% with all classifiers in both datasets (<xref ref-type="table" rid="T5">Table 5</xref>).</p>
<table-wrap id="T5" position="float">
<label>TABLE 5</label>
<caption>
<p>Accuracy assessment on the test area with RF classifiers developed for model areas.</p>
</caption>
<table>
<tbody valign="top">
<tr>
<td rowspan="2" align="left">
<bold>Model name</bold>
</td>
<td colspan="5" align="center">
<bold>Post-event dataset</bold>
</td>
</tr>
<tr>
<td align="center">
<bold>Recall (TP rate)</bold>
</td>
<td align="center">
<bold>FP rate</bold>
</td>
<td align="center">
<bold>Precision</bold>
</td>
<td align="center">
<bold>F-measure</bold>
</td>
<td align="center">
<bold>Overall accuracy</bold>
</td>
</tr>
<tr>
<td align="left">Model area 1</td>
<td align="center">0.92</td>
<td align="center">0.016</td>
<td align="center">0.95</td>
<td align="center">0.938</td>
<td align="center">96.68</td>
</tr>
<tr>
<td align="left">Model area 2</td>
<td align="center">0.932</td>
<td align="center">0.017</td>
<td align="center">0.955</td>
<td align="center">0.943</td>
<td align="center">96.94</td>
</tr>
<tr>
<td align="left">Model area 3</td>
<td align="center">0.934</td>
<td align="center">0.018</td>
<td align="center">0.952</td>
<td align="center">0.943</td>
<td align="center">96.86</td>
</tr>
<tr>
<td align="left">Model area 4</td>
<td align="center">0.934</td>
<td align="center">0.020</td>
<td align="center">0.947</td>
<td align="center">0.941</td>
<td align="center">97.22</td>
</tr>
<tr>
<td align="left">Model area 5</td>
<td align="center">0.950</td>
<td align="center">0.023</td>
<td align="center">0.940</td>
<td align="center">0.945</td>
<td align="center">96.90</td>
</tr>
<tr>
<td rowspan="2" align="left">
<bold>Model name</bold>
</td>
<td colspan="5" align="center">
<bold>Change-based dataset</bold>
</td>
</tr>
<tr>
<td align="center">
<bold>Recall (TP rate)</bold>
</td>
<td align="center">
<bold>FP rate</bold>
</td>
<td align="center">
<bold>Precision</bold>
</td>
<td align="center">
<bold>F-measure</bold>
</td>
<td align="center">
<bold>Overall accuracy</bold>
</td>
</tr>
<tr>
<td align="left">Model area 1</td>
<td align="center">0.896</td>
<td align="center">0.021</td>
<td align="center">0.942</td>
<td align="center">0.919</td>
<td align="center">95.44</td>
</tr>
<tr>
<td align="left">Model area 2</td>
<td align="center">0.881</td>
<td align="center">0.020</td>
<td align="center">0.943</td>
<td align="center">0.911</td>
<td align="center">95.27</td>
</tr>
<tr>
<td align="left">Model area 3</td>
<td align="center">0.871</td>
<td align="center">0.011</td>
<td align="center">0.967</td>
<td align="center">0.917</td>
<td align="center">95.62</td>
</tr>
<tr>
<td align="left">Model area 4</td>
<td align="center">0.892</td>
<td align="center">0.013</td>
<td align="center">0.962</td>
<td align="center">0.926</td>
<td align="center">96.04</td>
</tr>
<tr>
<td align="left">Model area 5</td>
<td align="center">0.890</td>
<td align="center">0.009</td>
<td align="center">0.973</td>
<td align="center">0.930</td>
<td align="center">96.28</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>When the accuracy results were examined (<xref ref-type="table" rid="T5">Table 5</xref>), it was seen that TP Rate increases in the post-event dataset when the model area expands. With the classifier developed for Model Area 1, 92% of the image objects belonging to the LS in the test area were successfully mapped. This ratio was obtained with 3% more accuracy in the largest dataset. When the number of training data is increased by expanding the model area, the FP rate, which defines the mapping rate of NLS image objects as LS, slightly increased. This change had reduced the precision rate of classifiers. When the success of the developed classifiers for landslide mapping was evaluated, it is observed that very close F-measure values were obtained, but a little more success was achieved in the largest dataset.</p>
<p>When the accuracies for the change-based datasets are investigated, the TP ratio of LS image objects was obtained approximately 90% for the smallest dataset. This ratio decreased by 1 and 2% in model area 2 and model area 3, respectively. In the largest dataset, very close results were obtained with model area 1. When the size of the model dataset was increased, it was seen that the sensitivity of the FP ratio increased and the extraction of NLS objects as LS decreased. This condition has increased the precision ratio and the F-measure value of the developed classifiers.</p>
<p>Comparing the results obtained for the change-based dataset and post-event dataset, landslides were obtained with a higher TP Rate in all model areas where RF classifiers were developed. When the FP Rate values were compared, it was seen that when the data size was increased, the classification of NLS image objects as LS with the change-based data set decreased, and the developed classifiers map the NLS areas with higher accuracy. When the overall success of the classifiers for two datasets was evaluated according to F-measure, it was indicated that landslide mapping with post-event dataset gave higher accuracy values.</p>
<p>In this study, 40 different features were used for the change-based dataset and 43 different features for the post-event dataset. When the feature importance of the variables was investigated, it was observed that the same variables were effective in all model areas. &#x3b4;NDVI in change-based RF classifiers and slope and NDVI in post-event RF classifiers were the most effective features. In <xref ref-type="fig" rid="F3">Figure 3</xref>, the top ten features in the classifier created for the model area 5 based on change-based datasets were shown according to the mean decrease of accuracy and mean decrease of Gini index. When <xref ref-type="fig" rid="F3">Figure 3</xref> is examined, it is seen that the most important parameters in classification according to mean decrease accuracy were mean values of &#x3b4;NDVI, slope, PCA3, and ICA2. The most important variables that affect the purity of the classifier when extracted from the dataset were mean values of &#x3b4;NDVI, ICA3, PCA3, and PCA4. In <xref ref-type="fig" rid="F4">Figure 4</xref>, the top ten features obtained for Model Area 5 with the post-event dataset were given. The most important features for the developed classifier were obtained as mean values of the slope, NDVI, PCA4, PCA3, and Maximum Difference. The most important parameters that increase the purity of the model were NDVI, PCA2, NDWI, Max Difference, and Red (<xref ref-type="fig" rid="F4">Figure 4</xref>). When the importance of properties for different datasets is evaluated, it is seen that spectral properties and spatial properties are more effective in mapping landslides according to textural properties.</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>The ten most important features for the classifier developed with change-based dataset in model area 5: <bold>(A)</bold> shows how selected features affect model accuracy when removed from the dataset, <bold>(B)</bold> indicates how selected features affect model purity when removed from the dataset.</p>
</caption>
<graphic xlink:href="feart-09-633665-g003.tif"/>
</fig>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>The ten most important features for the classifier developed with post-event dataset in model area 5: <bold>(A)</bold> shows how selected features affect model accuracy when removed from the dataset, <bold>(B)</bold> indicates how selected features affect model purity when removed from the dataset.</p>
</caption>
<graphic xlink:href="feart-09-633665-g004.tif"/>
</fig>
</sec>
<sec sec-type="discussion" id="s5">
<title>Discussion</title>
<p>In this study, the influence of model development area size and dataset types in landslide mapping during the post-earthquake crisis management phase was investigated. In this context, ten landslide mapping models have been developed with OBIA-RF classifier using two different datasets, namely change-based and post-event dataset, at five model development areas with different sizes. The success of the developed classifier models has been investigated on a determined test area. When the obtained results were examined, although landslide mapping results were obtained with high accuracy from all developed models, higher accuracy values were obtained in classifier models using post-event datasets (<xref ref-type="table" rid="T5">Table 5</xref>). These results show that while pre-event and post-event images are useful to create or update the landslide inventory maps (<xref ref-type="bibr" rid="B46">Yang and Chen, 2010</xref>; <xref ref-type="bibr" rid="B15">&#x110;uri&#x107; et al., 2017</xref>), post-event images without the need for any archive images in crisis management are sufficient in detecting the locations where the dense landslide events occurred. In the comparison of dataset size in this study, it was observed that increasing the dataset size slightly increased the mapping accuracy (<xref ref-type="table" rid="T5">Table 5</xref>). Therefore, large model areas are not required in the post-disaster decision-making phase. The model development process, which is carried out on a small area that best represents the area to be mapped, is useful for rapid decision-making.</p>
<p>The RF algorithm for landslide mapping was applied to datasets produced by using PlanetScope images and ALOS-PALSAR DEM data in the study. The RF algorithm, which gives successful results in extracting the desired feature in datasets with large sizes and many variables in different application areas (<xref ref-type="bibr" rid="B39">Stumpf and Kerle, 2011</xref>; <xref ref-type="bibr" rid="B33">Ramo and Chuvieco, 2017</xref>; <xref ref-type="bibr" rid="B37">Shirvani et al., 2019</xref>; <xref ref-type="bibr" rid="B29">Maxwell et al., 2020</xref>; <xref ref-type="bibr" rid="B36">Shirvani, 2020</xref>), has also produced high accuracy results from the datasets used (<xref ref-type="table" rid="T5">Table 5</xref>). With this research, it has been demonstrated that PlanetScope satellites, which offer daily high spatial resolution images, provide successful results in the detection of earthquake-triggered landslide areas with high accuracy. To produce the slope map of the study area, 30&#xa0;m resolution ALOS-PALSAR DEM data were used as elevation data. Although this DEM is sufficient for this application in terms of presenting the general slope characteristics of topographic surfaces where landslides occur in the study area, it is insufficient in terms of producing induvial landslide inventory mapping. During the segmentation phase, landslides were obtained as multiple image objects. By merging these image objects, holistic landslides can be obtained (<xref ref-type="fig" rid="F5">Figure 5</xref>). However, these landslides were not individual. The main reason for this is the high reflection of fresh landslides in satellite bands. In the segmentation stage, adjacent landslides with the same spectral value fall into the same image object. For these landslides to be used in susceptibility and hazard maps, the necessary ones should be converted into individual landslides. For this process, post-event high-resolution DEM data of the area is required (<xref ref-type="bibr" rid="B51">Marc and Hovius 2015</xref>).</p>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption>
<p>Estimated landslides on the test area for model area 5 with RF classifier: <bold>(A)</bold> post-event dataset result, <bold>(B)</bold> change-based dataset result.</p>
</caption>
<graphic xlink:href="feart-09-633665-g005.tif"/>
</fig>
<p>While determining the object features in the datasets, firstly, the visual evaluation of the image object features to be included in the datasets on the image objects created as a result of the segmentation stage was made. Since the landslide areas consist of more than one image object, geometric features such as length/width, size, shape were not added in the datasets because there was no distinctive finding was observed on these features. Variable importance analysis was performed for the image object features used in datasets. The ten most important features for the datasets were shown in <xref ref-type="fig" rid="F3">Figures 3</xref>, <xref ref-type="fig" rid="F4">4</xref>. NDVI, which is an effective feature in separating green vegetation areas from landslides, is a frequently preferred feature in landslide mapping with change detection (<xref ref-type="bibr" rid="B31">Mondini et al., 2011</xref>; <xref ref-type="bibr" rid="B19">H&#xf6;lbling et al., 2015</xref>; <xref ref-type="bibr" rid="B27">Lu et al., 2019</xref>) and classification method (<xref ref-type="bibr" rid="B28">Martha et al., 2010</xref>; <xref ref-type="bibr" rid="B37">Shirvani et al., 2019</xref>). Since the application areas were chosen in this study were covered with dense forest areas and agricultural land, it has been revealed that NDVI and &#x3b4;NDVI were important features in both the change-based dataset and the post-event dataset (<xref ref-type="fig" rid="F3">Figures 3</xref>, <xref ref-type="fig" rid="F4">4</xref>). The slope value is especially in the separation of low-slope areas such as roads and bare soil spectrally similar to landslides from landslides (<xref ref-type="bibr" rid="B10">Comert et al., 2019</xref>). The slope feature was seen to be an important feature that increases the accuracy of landslide mapping for both the change-based dataset and post-event dataset in this study (<xref ref-type="fig" rid="F3">Figures 3</xref>, <xref ref-type="fig" rid="F4">4</xref>).</p>
<p>PCA and ICA, which are non-parametric feature extraction methods, are the preferred approaches in landslide mapping with change detection (<xref ref-type="bibr" rid="B31">Mondini et al., 2011</xref>; <xref ref-type="bibr" rid="B27">Lu et al., 2019</xref>). PCA4, ICA2, ICA3, and ICA4 components produced from pre-event and post-event NIR and Red bands gave successful results (<xref ref-type="bibr" rid="B27">Lu et al., 2019</xref>). In this study, PCA1<sub>change</sub>, PCA3<sub>change</sub>, and PCA4<sub>change</sub>, which were among the PCA components produced for the change-based dataset, were found to be important features that increase the accuracy of the classifiers and ensure the purity of the decision trees used in landslide mapping (<xref ref-type="fig" rid="F3">Figure 3</xref>). ICA3, one of the ICA components produced for the change-based dataset, has been seen to be the second most important component that provides the homogeneity of decision trees used in the separation of LS and NLS areas (<xref ref-type="fig" rid="F3">Figure 3</xref>). Also, ICA2 was the fourth feature that positively affects classifier accuracy (<xref ref-type="fig" rid="F3">Figure 3</xref>). In the study, four PCA components were generated from post-event image bands and included in the post-event dataset. Among these features, PCA2<sub>post</sub>, PCA3<sub>post,</sub> and PCA4<sub>post</sub> were found to be important features that increase classification accuracy and provide decision tree purity (<xref ref-type="fig" rid="F4">Figure 4</xref>). According to the variable important results, it shows that the non-parametric components obtained by PCA analysis can be used in landslide mapping studies based on the post-event images.</p>
<p>When examining other features obtained by variable important analysis, it was seen that the Max. Diff. the feature was important in both classifier accuracy and model homogeneity for the post-event dataset. Also, Red, Green Blue bands were obtained as important properties in providing model purity for the post-event dataset. CDI is used in landslide mapping with change detection from multi-temporal images (<xref ref-type="bibr" rid="B25">Li et al., 2016</xref>; <xref ref-type="bibr" rid="B27">Lu et al., 2019</xref>). In this study, it was seen that for the change-based data set, it was an important parameter in terms of classifiers model homogeneity, although not as much as, &#x3b4;NDVI, PCA, and ICA components.</p>
</sec>
<sec sec-type="conclusion" id="s6">
<title>Conclusion</title>
<p>In this study, the success of different datasets and different data sizes produced from remote sensing images in rapid earthquake-triggered landslide mapping were investigated. In this context, change-based and post-event datasets were created for five model areas and one test area. When RF classifiers developed on model areas were applied to the test area, high accuracies are obtained for all model areas and datasets. However, slightly higher accuracy results have been achieved with post-event datasets compared to change-based dates. Similarly, slightly higher accuracy was obtained when the model area size was increased. When these results are evaluated, in rapid detection of the location where earthquake-triggered landslides occur: 1) models to be used in mapping landslides can be developed over a small area that best represents the area to be mapped, 2) in the landslide mapping process, landslides can be successfully detected from the post-event images without the archive image of the relevant area. In the study, the importance of image object features used in datasets in the mapping process was investigated. When the importance levels of the object features are examined, it has been observed that the highly important features are similar to the features used in the literature. Also, PCA components generated from post-event images are included in the post-event data. Since these components positively affect the classification accuracies, they can be included in the post-event datasets in future studies. The approach presented in this study is an appropriate method for detecting large landslide areas that occur after a natural disaster and to respond rapidly. The presented method needs improvement to create landslide inventory maps. In future studies, both crisis management and inventory mapping research will be conducted from platforms that offer higher spatial resolution images and DEMs such as Unmanned Aerial Vehicle.</p>
</sec>
</body>
<back>
<sec id="s7">
<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="s8">
<title>Author Contributions</title>
<p>This study was prepared individually by RC.</p>
</sec>
<sec sec-type="COI-statement" id="s9">
<title>Conflict of Interest</title>
<p>The author declares 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>
<ack>
<p>The author thanks PlanetScope for providing satellite images. I also thank ALOS for providing Digital Elevation Data.</p>
</ack>
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