Assessing Drone Return-to-Home Landing Accuracy in a Woodland Landscape - Drones and Autonomous Vehicles - Full-Text HTML

<!DOCTYPE html> <html class="no-js" lang="en"> <head> <meta charset="utf-8" /> <meta http-equiv="x-ua-compatible" content="ie=edge" /> <title>Assessing Drone Return-to-Home Landing Accuracy in a Woodland Landscape - Drones and Autonomous Vehicles - Full-Text HTML - SCIEPublish</title> <meta name="keywords" content="SCIE Publishing, SCIEPublish, open access, fast publication" /> <meta name="description" content="SCIEPublish is an international open-access journal publishing service provider run by SCIE Publishing Limited, dedicated to supporting and inspiring scientists or institutions/societies who aspire to publish high-quality journals." /> <meta name="viewport" content="width=device-width,user-scalable=no,initial-scale=1.0,maximum-scale=1.0,minimum-scale=1.0"> <meta name="title" content="Assessing Drone Return-to-Home Landing Accuracy in a Woodland Landscape"> <link rel="image_src" href="https://www.sciepublish.com/uploads/2024/05/28/17168749452jfd.jpg"> <meta name="dc.title" content="Assessing Drone Return-to-Home Landing Accuracy in a Woodland Landscape"> <meta name="dc.creator" content="I-Kuai Hung"> <meta name="dc.creator" content="Daniel Unger"> <meta name="dc.creator" content="Yanli Zhang"> <meta name="dc.creator" content="David Kulhavy"> <meta name="dc.type" content="Article"> <meta name="dc.source" content="Drones and Autonomous Vehicles 2024, Vol. 1, Page 10005"> <meta name="dc.date" content="2024-05-08"> <meta name="dc.identifier" content="10.35534/dav.2024.10005"> <meta name="dc.publisher" content="SCIEPublish"> <meta name="dc.rights" content="http://creativecommons.org/licenses/by/4.0/"> <meta name="dc.format" content="application/pdf"> <meta name="dc.language" content="en"> <meta name="dc.description" content="While aerial photography continues to play an integral role in forest management, its data acquisition can now be obtained through an unmanned aerial vehicle (UAV), commonly referred as a drone, instead of conventional manned aircraft. With its feasibility, a drone can be programed to take off, fly over an area following predefined paths and take images, then return to the home spot automatically. When flying over forests, it requires that there is an open space for a vertical takeoff drone to take off vertically and return safely. Hence, the automatic return-to-home feature on the drone is crucial when operating in a woodland landscape. In this project, we assessed the return-to-home landing accuracy based on a permanently marked launch pad nested in a wooded area on the campus of Stephen F. Austin State University in Nacogdoches, Texas. We compared four models of the DJI drone line, with each flown 30 missions over multiple days under different weather conditions. When each drone returned to the home launch spot and landed, the distance and direction from the launch spot to the landing position was measured. Results showed that both the Phantom 4 Advanced and the Spark had superior landing accuracy, whereas the Phantom 3 Advanced was the least accurate trailing behind the Phantom 4 Pro."> <meta name="dc.subject" content="UAV"> <meta name="dc.subject" content="Drones"> <meta name="dc.subject" content="Positional accuracy"> <meta name="dc.subject" content="Return-to-home"> <meta name="prism.issn" content="2958-7689"> <meta name="prism.publicationName" content="Drones and Autonomous Vehicles"> <meta name="prism.publicationDate" content="2024-05-08"> <meta name="prism.volume" content="1"> <meta name="prism.number" content="3"> <meta name="prism.section" content="Article"> <meta name="prism.startingPage" content="10005"> <meta name="citation_issn" content="2958-7689"> <meta name="citation_journal_title" content="Drones and Autonomous Vehicles"> <meta name="citation_publisher" content="SCIEPublish"> <meta name="citation_title" content="Assessing Drone Return-to-Home Landing Accuracy in a Woodland Landscape"> <meta name="citation_publication_date" content="2024/05"> <meta name="citation_online_date" content="2024/05/08"> <meta name="citation_volume" content="1"> <meta name="citation_issue" content="3"> <meta name="citation_firstpage" content="10005"> <meta name="citation_author" content="Hung, I-Kuai"> <meta name="citation_author" content="Unger, Daniel"> <meta name="citation_author" content="Zhang, Yanli"> <meta name="citation_author" content="Kulhavy, David"> <meta name="citation_doi" content="10.35534/dav.2024.10005"> <meta name="citation_abstract_html_url" content="https://www.sciepublish.com/article/pii/183"> <meta name="citation_pdf_url" content="https://www.sciepublish.com/index/article/view_full_text/id/183"> <link rel="alternate" type="application/pdf" title="PDF Full-Text" href="https://www.sciepublish.com/index/article/view_full_text/id/183"> <meta name="fulltext_pdf" content="https://www.sciepublish.com/index/article/view_full_text/id/183"> <link rel="alternate" type="text/html" title="HTML Full-Text" href="https://www.sciepublish.com/article/pii/183"> <meta name="citation_fulltext_html_url" content="https://www.sciepublish.com/article/pii/183"> <meta name="fulltext_html" content="https://www.sciepublish.com/article/pii/183"> <meta property="og:site_name" content="SCIEPUBLISH" /> <meta property="og:type" content="Article" /> <meta property="og:url" content="https://www.sciepublish.com/article/pii/183" /> <meta property="og:title" content="Assessing Drone Return-to-Home Landing Accuracy in a Woodland Landscape" /> <meta property="og:description" content="While aerial photography continues to play an integral role in forest management, its data acquisition can now be obtained through an unmanned aerial vehicle (UAV), commonly referred as a drone, instead of conventional manned aircraft. With its feasibility, a drone can be programed to take off, fly over an area following predefined paths and take images, then return to the home spot automatically. When flying over forests, it requires that there is an open space for a vertical takeoff drone to take off vertically and return safely. Hence, the automatic return-to-home feature on the drone is crucial when operating in a woodland landscape. In this project, we assessed the return-to-home landing accuracy based on a permanently marked launch pad nested in a wooded area on the campus of Stephen F. Austin State University in Nacogdoches, Texas. We compared four models of the DJI drone line, with each flown 30 missions over multiple days under different weather conditions. When each drone returned to the home launch spot and landed, the distance and direction from the launch spot to the landing position was measured. Results showed that both the Phantom 4 Advanced and the Spark had superior landing accuracy, whereas the Phantom 3 Advanced was the least accurate trailing behind the Phantom 4 Pro." /> <meta property="og:image" content="https://www.sciepublish.com/uploads/image/202405/08/1dde7fbaaf5e9c544bf4be0519ec60ba.png" /> <meta property="og:image:secure_url" content="https://www.sciepublish.com/uploads/image/202405/08/1dde7fbaaf5e9c544bf4be0519ec60ba.png" /> <meta name="twitter:site" content="@sciepublish"> <meta name="twitter:image" content="https://www.sciepublish.com/uploads/image/202405/08/1dde7fbaaf5e9c544bf4be0519ec60ba.png" /> <meta name="twitter:card" content="summary_large_image"> <link rel="shortcut icon" type="image/x-icon" href="/favicon.ico" /> <link rel="stylesheet" href="/static/css/bootstrap.css" /> <link rel="stylesheet" href="/static/font/bootstrap-icons.css"> <link rel="stylesheet" href="/static/css/lightbox.css" /> <link rel="stylesheet" href="/static/css/theme.css?74" /> 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height="16" fill="currentColor" class="bi bi-chevron-up" viewBox="0 0 16 16"> <path fill-rule="evenodd" d="M7.646 4.646a.5.5 0 0 1 .708 0l6 6a.5.5 0 0 1-.708.708L8 5.707l-5.646 5.647a.5.5 0 0 1-.708-.708l6-6z"/> </svg> </div> </div> <div class="articleMenuCollapse-column p-0" id="articleMenuCollapse"> <div class="menu pt-2"> <div class="list-group" id="article-menu-float"> <a class="list-group-item list-group-item-action" href="#link-introduction">1. Introduction</a> <a class="list-group-item list-group-item-action" href="#link-materials-and-methods">2. Materials and Methods</a> <a class="list-group-item list-group-item-action" href="#link-theory-calculation">3. Data Analysis</a> <a class="list-group-item list-group-item-action" href="#link-results">4. Results and Discussion</a> <a class="list-group-item list-group-item-action" href="#link-discussion">5. Conclusions</a> <a class="list-group-item list-group-item-action" href="#link-acknowledgments">Acknowledgments</a> <a class="list-group-item list-group-item-action" href="#link-author-contributions">Author Contributions</a> <a class="list-group-item list-group-item-action" href="#link-ethics-statement">Ethics Statement</a> <a class="list-group-item list-group-item-action" href="#link-informed-consent-statement">Informed Consent Statement</a> <a class="list-group-item list-group-item-action" href="#link-funding">Funding</a> <a class="list-group-item list-group-item-action" href="#link-declaration-competing-interest">Declaration of Competing Interest</a> <a class="list-group-item list-group-item-action" href="#html-references_list">References</a> </div> </div> </div> </div> <span class="btn-out" data-toggle="collapse" data-target="#rightCollapse" aria-expanded="true" aria-controls="rightCollapse"> <svg xmlns="http://www.w3.org/2000/svg" width="26" height="26" fill="currentColor" 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2.301-1.666 3.036a.324.324 0 0 0-.12.366l.218.81a.616.616 0 0 1 .029.117.166.166 0 0 1-.162.162.177.177 0 0 1-.092-.03l-1.057-.61a.519.519 0 0 0-.256-.074.509.509 0 0 0-.142.021 5.668 5.668 0 0 1-1.576.22ZM9.064 9.542a.647.647 0 1 0 .557-1 .645.645 0 0 0-.646.647.615.615 0 0 0 .09.353Zm3.232.001a.646.646 0 1 0 .546-1 .645.645 0 0 0-.644.644.627.627 0 0 0 .098.356Z"/> <path d="M0 6.826c0 1.455.781 2.765 2.001 3.656a.385.385 0 0 1 .143.439l-.161.6-.1.373a.499.499 0 0 0-.032.14.192.192 0 0 0 .193.193c.039 0 .077-.01.111-.029l1.268-.733a.622.622 0 0 1 .308-.088c.058 0 .116.009.171.025a6.83 6.83 0 0 0 1.625.26 4.45 4.45 0 0 1-.177-1.251c0-2.936 2.785-5.02 5.824-5.02.05 0 .1 0 .15.002C10.587 3.429 8.392 2 5.796 2 2.596 2 0 4.16 0 6.826Zm4.632-1.555a.77.77 0 1 1-1.54 0 .77.77 0 0 1 1.54 0Zm3.875 0a.77.77 0 1 1-1.54 0 .77.77 0 0 1 1.54 0Z"/> </svg> </a> </div> </div> <h1 class="mb-2 acquiesce-title">Assessing Drone Return-to-Home Landing Accuracy in a Woodland Landscape</h1> <div class="affiliation mb-1"> <div class="affiliation_author"> <span class="mr-2"> <a href="https://scholar.google.com/scholar?q=I-Kuai Hung" target="_blank">I-Kuai Hung</a> <sup>*</sup> <a href="mailto:hungi@sfasu.edu"> <sup><i class="bi bi-envelope-fill"></i></sup> </a> </span> <span class="mr-2"> <a href="https://scholar.google.com/scholar?q=Daniel Unger" target="_blank">Daniel Unger</a> <sup></sup> </span> <span class="mr-2"> <a href="https://scholar.google.com/scholar?q=Yanli Zhang" target="_blank">Yanli Zhang</a> <sup></sup> </span> <span class="mr-2"> <a href="https://scholar.google.com/scholar?q=David Kulhavy" target="_blank">David Kulhavy</a> <sup></sup> </span> </div> </div> <div class="d-flex mb-1"> <div class="information-collapse mr-4"> Author Information </div>  </div> <div class="articledz"> <div class="affiliation_zt"> <div class="information-item affiliation_at collapse pl-2 pr-2 pb-2"> <div class="affiliation d-flex"> <div class="affiliation_nameno"> Arthur Temple College of Forestry and Agriculture, Stephen F. Austin State University, Nacogdoches, TX 75962, USA </div> </div> <div class="affiliation d-flex"> <div class="affiliation_sup mr-2"><sup>*</sup></div> <div class="affiliation_name flex-grow-1"> Authors to whom correspondence should be addressed. </div> </div> </div> </div> <div class="d-flex align-items-center"> <div class="mr-2 d-flex align-items-center"><span>Views:</span><b class="ml-2">1538</b></div> <div class="mr-2 d-flex align-items-center"><span>Downloads:</span><b class="ml-2">177</b></div> <a tabindex="0" class="mr-2 align-items-center cursor-pointer" style="display: none;" data-bind="popover1" data-container="body" data-toggle="popover" data-trigger="focus" data-placement="bottom"> <span>Citations:</span> <b class="ml-2">0</b> </a> </div> <div class="information-item pb-3"> <div class="articledoi"> <em>Drones and Autonomous Vehicles</em> <b>2024</b>, <em>1</em> (3), 10005;  <a href="https://doi.org/10.35534/dav.2024.10005" target="_blank">https://doi.org/10.35534/dav.2024.10005</a> </div> <p class="d-flex fal-title mb-0"> <i class="fal fa-calendar-alt"></i> <span class="mr-3">Received: 15 March 2024</span> <span class="mr-3">Accepted: 06 May 2024</span> <span class="mr-3">Published: 08 May 2024</span> </p> </div> <div class="articleneir pull-item d-flex"> <a href="http://creativecommons.org/licenses/by/4.0/" itemprop="license" rel="license" data-license="by" class="pull-left pt-1"> <img src="/style/image/iconby.png" alt="Creative Commons"> </a> <p class="flex-grow-1 ml-2"> © 2024 The authors. This is an open access article under the Creative Commons Attribution 4.0 International License (<a href="https://creativecommons.org/licenses/by/4.0/" target="_blank">https://creativecommons.org/licenses/by/4.0/</a>). </p> </div> <div class="meta-info text-break border-top border-dark pt-3 mt-3"> <div class="articleneir abstract"> <span>ABSTRACT:</span> While aerial photography continues to play an integral role in forest management, its data acquisition can now be obtained through an unmanned aerial vehicle (UAV), commonly referred as a drone, instead of conventional manned aircraft. With its feasibility, a drone can be programed to take off, fly over an area following predefined paths and take images, then return to the home spot automatically. When flying over forests, it requires that there is an open space for a vertical takeoff drone to take off vertically and return safely. Hence, the automatic return-to-home feature on the drone is crucial when operating in a woodland landscape. In this project, we assessed the return-to-home landing accuracy based on a permanently marked launch pad nested in a wooded area on the campus of Stephen F. Austin State University in Nacogdoches, Texas. We compared four models of the DJI drone line, with each flown 30 missions over multiple days under different weather conditions. When each drone returned to the home launch spot and landed, the distance and direction from the launch spot to the landing position was measured. Results showed that both the Phantom 4 Advanced and the Spark had superior landing accuracy, whereas the Phantom 3 Advanced was the least accurate trailing behind the Phantom 4 Pro. </div> <div class="articleneir mt-2 keywords"> <span>Keywords:</span> UAV; Drones; Positional accuracy; Return-to-home </div> <div class="Keywords-img html-fig-wrap p-3 mt-3"> <div class="img-center html-figpopup-link pt-3 pb-3"> <img data-large="/uploads/image/202405/08/1dde7fbaaf5e9c544bf4be0519ec60ba.png" src="/uploads/image/202405/08/1dde7fbaaf5e9c544bf4be0519ec60ba.png"> <a class="html-expand html-figpopup" href="javaScript:void(0);"></a> </div> <p class="text-center mt-2 mb-0 font-weight-bold">Graphical Abstract</p> </div> <div class="article-item pt-4"> <h2 class="border-bottom"> <a id="link-introduction" class="anchor-66"></a> 1. Introduction </h2> <div class="link-introduction article-item-text pt-2">Photogrammetry and aerial photo interpretation have been used in forest management since aerial photography became available to foresters. A single frame of aerial photo was used for forest type classification and land area estimation, while a pair of aerial photos viewed through a stereoscope added the 3rd dimension for tree height measurement [<a href='#B1' class='html-bibr' title='1'>1</a>]. It made timber volume estimation for the entire forest stand possible through photogrammetry combined with ground sample measurement. Traditionally, aerial photos were captured with a camera mounted on a manned aircraft. For each flight, the mission was planned beforehand that would cover a large area and could end up with hundreds or thousands of photos taken. The types of the photos used for this process have evolved from films and prints, either black-and-white, color, or color infrared, to digital images where the sensor can be specialized to focus on a range of electromagnetic spectrum, such as blue, green, red, infrared, thermal, etc. [<a href='#B2' class='html-bibr' title='2'>2</a>]. When photos captured in a flight mission were stitched together, an orthorectified aerial photo covering the entire forest stand is achieved for forest management purposes including planning for timber harvest, timber volume estimation, site preparation, seedling survival calculation, and land cover classification. With the advancement in unmanned aerial vehicles (UAVs), commonly referred as drones, it revolutionizes aerial photography in forestry. Fardusi et al. [<a href='#B3' class='html-bibr' title='3'>3</a>] reviewed the practices of geospatial information tools including UAV for forestry. They concluded that modern technologies may contribute to higher precision in forest management and decision-making process. Toth and Jóźków [<a href='#B4' class='html-bibr' title='4'>4</a>] reviewed the advancement in remote sensing platforms and sensors including UAVs. They identified that platform georeferencing has become dominant in remote sensing after the completion of the full GPS constellation. In their review on forestry remote sensing from UAVs, Guimarães et al. [<a href='#B5' class='html-bibr' title='5'>5</a>] stated that UAVs are a good alternative to traditional remote sensing platforms due to their high spatial and temporal resolutions, flexibility, and lower operational costs. Torresan et al. [<a href='#B6' class='html-bibr' title='6'>6</a>] identified that most UAV-based applications for forest research in Europe aimed to inventory resources, map diseases, classify species, monitor fire and its effects, quantify spatial gaps, and estimate post-harvest soil displacement. In higher education, drones have been integrated into natural-resource curricula [<a href='#B7' class='html-bibr' title='7'>7</a>]. Krause [<a href='#B8' class='html-bibr' title='8'>8</a>] studied UAV applications for intensive forest monitoring and concluded that UAV remote sensing will likely become a key component of future forest monitoring, but coordinated efforts and standardization are essential for its effective integration. More recently, Fassnacht [<a href='#B9' class='html-bibr' title='9'>9</a>] found that in some regions airborne light detection and ranging (LiDAR) as well as digital aerial photogrammetry (DAP) have emerged as indispensable technologies for mapping forest structure. Compared to manned aircraft missions, flying over a forest strand for aerial photography can be achieved with a drone that is more cost and time effective [<a href='#B10' class='html-bibr' title='10'>10</a>]. In addition, each photo in digital format taken with a drone comes with GPS coordinates along with flight and camera/sensor information that makes image processing possible with some in-house software applications. Through the photo mosaicking process, not only a georeferenced orthophoto mosaic is generated, but also a point cloud in a 3D space, a digital surface model, and a digital terrain model where the above ground features are filtered out [<a href='#B11' class='html-bibr' title='11'>11</a>]. However, for drone operations in forestry, the take-off and landing of a drone is crucial as an open space in a woodland landscape is often limited, while this known as the drone’s “home” position should not be too far away from the planned flight area in order to maintain communication between the drone and its controller. Hence, drone flight operations in forestry heavily rely on the precision and accuracy of a drone’s built-in return-to-home function that will automatically fly the drone back to and land at its take-off position at the end of a planned mission, or whenever this return-to-home function is utilized in an emergency [<a href='#B12' class='html-bibr' title='12'>12</a>]. There are some factors that are involved in a drone’s return-to-home process. One is the GNSS coordinates recorded at the time of a drone take-off [<a href='#B13' class='html-bibr' title='13'>13</a>]. These home coordinates are as accurate as the GNSS receiver onboard the drone itself, unless a stationary base station is set up that communicates with the drone in real-time that would increase its positional accuracy [<a href='#B14' class='html-bibr' title='14'>14</a>]. Given the same coordinates, a drone could position itself at varying locations within its normal accuracy range [<a href='#B15' class='html-bibr' title='15'>15</a>]. In addition, the drone could take photos of the take-off spot with its downward camera. Through its image recognition algorithm, these photos serve as the target images during the drone’s final descend stage for fine tuning its position. When the return-to-home routine is initiated, the drone flies vertically to reach a height above ground that was set by the remote pilot beforehand, usually a height no less than the planned mission’s fly altitude to avoid any obstacle in the return-to-home path. Then the drone flies horizontally to the home position and starts its vertical descend. Some drone models are also equipped with sensors for collision prevention that play a role in the return-to-home process. The object of this research was to assess the landing accuracy of drones when a drone is called to return to its home position through its return-to-home feature. We evaluated the drones frequently used within the College of Forestry and Agriculture at Stephen F. Austin State University (SFASU) in Nacogdoches, Texas. Four different models of DJI drones [<a href='#B13' class='html-bibr' title='13'>13</a>] were tested on the SFASU campus located in the Pineywood Region of East Texas. The SFASU campus is recognized as a Tree Campus Higher Education by the Arbor Day Foundation [<a href='#B16' class='html-bibr' title='16'>16</a>]. Its urban forest setting resembles the environment one would encounter when operating drones in a woodland landscape where drone take-off and landing must be carefully controlled.</div> <h2 class="border-bottom"> <a id="link-materials-and-methods" class="anchor-66"></a> 2. Materials and Methods </h2> <div class="link-materials-and-methods article-item-text">The study area is located on the campus of Stephen F. Austin State University in Nacogdoches, Texas. A permanent launch pad was painted on a concrete surface as the home location for drones to take off and land. The launch pad was located at 31.62413309 latitude, −94.64709953 longitude within a wooded area on the campus (Figure 1). This launch pad was situated within an open space surrounded by pine and hardwood trees as tall as 110 ft. Four DJI drones were used for the project, including a Phantom 3 Advanced, Phantom 4 Advanced, Phantom 4 Pro, and Spark. Each time, a drone took off and flew away through manual control. Then the return-to-home routine was initiated for the drone to return to its take-off (the home) position automatically. Since the maximum flight height was set at 300 ft, the drone would ascend vertically to this ceiling height when return-to-home was called, fly horizontally to the home coordinates, rotate to the same heading as take-off, and descend vertically back to the launch pad. Figure 2 shows a sequence of downward views from a drone during the descending process. Once landed, the distance and direction from the center of the landed drone to the center of the launch pad were measured. At the same time, weather conditions for the time of landing were also recorded for analysis (Figure 1). This take-off and landing process was repeated 30 times for each of the four drones tested, spanning a 16-day period. The geographic coordinates of the launch pad were obtained with a sub-meter GNSS receiver. The coordinates of each drone landing position were determined through coordinate geometry (COGO), where each landing position was referenced to the launch pad position based on distance and direction. All positions were referenced to UTM Zone 15, WGS 1984 and plotted on a map to show the spatial distribution all of the landing positions for each drone tested, where trees in the surrounding area were also presented.<div class='html-fig-wrap'><div class='html-fig_img'><div class='html-figpopup html-figpopup-link' href='#Figure1'><img data-large='/uploads/2024/05/11/5da63b49a26170ea64581c2434369045.jpg' data-original='/uploads/2024/05/11/5da63b49a26170ea64581c2434369045.jpg' src='/uploads/2024/05/11/5da63b49a26170ea64581c2434369045.jpg'><a class='html-expand html-figpopup' href='#Figure1'></a></div></div><div class='html-fig_description'><b>Figure 1. </b>The painted launch pad with a submeter GNSS receiver recording its geographic coordinates (left) and the launch pad with a weather meter in the foreground (right).</div></div><div class='html-fig-wrap'><div class='html-fig_img'><div class='html-figpopup html-figpopup-link' href='#Figure2'><img data-large='/uploads/2024/05/11/4c5afc6cf8a5aea5b046460c0eda8cc9.jpg' data-original='/uploads/2024/05/11/4c5afc6cf8a5aea5b046460c0eda8cc9.jpg' src='/uploads/2024/05/11/4c5afc6cf8a5aea5b046460c0eda8cc9.jpg'><a class='html-expand html-figpopup' href='#Figure2'></a></div></div><div class='html-fig_description'><b>Figure 2. </b>A sequence of downward views from a drone during the return-to-home descend process.</div></div></div> <h2 class="border-bottom"> <a id="link-theory-calculation" class="anchor-66"></a> 3. Data Analysis </h2> <div class="link-theory-calculation article-item-text">To analyze the geographic distribution of the 30 landing positions of each drone, the Mean Center of each landing cluster was first calculated. The mean center is plotted based on the mean x coordinate and mean y coordinate of all 30 landing positions of the same drone. It represents the geographic center of each cluster (Equation 1). Farther a mean center being away from the launch pad indicates less accurate in terms of its return-to-home accuracy. Then, the Standard Deviational Ellipse was calculated that depicts the dispersion of the landing positions of the same drone around its mean center, as well as the direction where the precision is diluted most (Equation 2). Larger the size of an ellipse indicates lower landing precision. Finally, the Linear Directional Mean was calculated for each group of landing positions to depict the magnitude of each drone being off from the launch pad, for both distance and direction (Equation 3). For each drone tested, we calculated the mean direction and mean distance of a group of vectors from the launch pad to a landing position. A low mean distance indicates a high accuracy of the return-to-home process. It also tests if a group of directions is uniform or not. All geographic distribution data were plotted on the map. Mean Center<div class='html-disp-formula-info'><div class='html_pics'><img style='max-width:80%' data-large='/uploads/2024/05/11/9cfb996bbdf7ffb20f14f75b553f7242.png' data-original='/uploads/2024/05/11/9cfb996bbdf7ffb20f14f75b553f7242.png' src='/uploads/2024/05/11/9cfb996bbdf7ffb20f14f75b553f7242.png'></div><div class='formula'><label>(1)</label></div></div>where <i>x<sub>i</sub></i> and <i>y<sub>i</sub></i>, are the coordinates for landing position <i>i</i> and <i>n</i> is the total number of landings for each drone tested. Standard Deviational Ellipse<div class='html-disp-formula-info'><div class='html_pics'><img style='max-width:80%' data-large='/uploads/2024/05/11/0171a0622f2f3b0969992efe15ca8efb.png' data-original='/uploads/2024/05/11/0171a0622f2f3b0969992efe15ca8efb.png' src='/uploads/2024/05/11/0171a0622f2f3b0969992efe15ca8efb.png'></div><div class='formula'><label>(2)</label></div></div>where<div class='html-disp-formula-info'><div class='html_pics'><img style='max-width:80%' data-large='/uploads/2024/05/11/61e3fb006e0042bf904b38ccdda63542.png' data-original='/uploads/2024/05/11/61e3fb006e0042bf904b38ccdda63542.png' src='/uploads/2024/05/11/61e3fb006e0042bf904b38ccdda63542.png'></div><div class='formula'><label></label></div></div>where <i>x</i> and <i>y</i> are the coordinates for each landing position <i>i</i>, (<i>x̅</i>, <i>y̅</i>) represent the Mean Center for the positions of the same drone and <i>n</i> is equal to the total number of landings for each drone. Linear Directional Mean<div class='html-disp-formula-info'><div class='html_pics'><img style='max-width:80%' data-large='/uploads/2024/05/11/3a7d495a1c4e0e536761ceb408b760c5.png' data-original='/uploads/2024/05/11/3a7d495a1c4e0e536761ceb408b760c5.png' src='/uploads/2024/05/11/3a7d495a1c4e0e536761ceb408b760c5.png'></div><div class='formula'><label>(3)</label></div></div>where <i>θ<sub>i</sub></i> are the directions of the vectors from the launch pad to landing positions of the same drone. To test if any drone achieved significantly higher accuracy than others, an analysis of variance (ANOVA) was conducted on the distance errors, distances from a landing position to the launch pad. The level of significance was set at 0.05. A lower mean distance from the landing position to the launch pad would indicate a higher return-to-home accuracy.</div> <h2 class="border-bottom"> <a id="link-results" class="anchor-66"></a> 4. Results and Discussion </h2> <div class="link-results article-item-text"><i>4.1. General Landing Positions</i> When all the landing positions were plotted, it revealed that the Phantom 4 Advanced and Spark had their landing positions clustered at the launch pad, while those of the Phantom 3 Advanced and Phantom 4 Pro were more widely spread. However, it appeared that the Phantom 3 Advance and Phantom 4 Pro tried to avoid obstacles such as trees when descending as their land positions were more located northeast of the launch pad where surrounding trees were further away from the launch pad (Figure 3). It implies that collision prevention function was in action, even though their landing precision and accuracy were not as good as other drones tested.<div class='html-fig-wrap'><div class='html-fig_img'><div class='html-figpopup html-figpopup-link' href='#Figure3'><img data-large='/uploads/2024/05/11/09b49d04d4e13961976528f3de9dd234.jpg' data-original='/uploads/2024/05/11/09b49d04d4e13961976528f3de9dd234.jpg' src='/uploads/2024/05/11/09b49d04d4e13961976528f3de9dd234.jpg'><a class='html-expand html-figpopup' href='#Figure3'></a></div></div><div class='html-fig_description'><b>Figure 3. </b>All drone landing positions centered on the launch pad in relation to the surrounding trees.</div></div><i>4.2. Mean Center and Directional Ellipse</i> The mean center represents the geographic center of a group of landing positions, while the directional ellipse measures the spread and orientation of the positions. The landing positions of the Phantom 4 Advanced are the most clustered (ellipse area = 1.60 sq ft) with its mean center located very close to the launch pad (<1.0 ft), while those of the Phantom 3 Advanced are the most spread (ellipse area = 376.50 sq ft) with its mean center 8.1 ft northeast off from the launch pad (Table 1 and Figure 4). The two more spread, Phantom 3 Advanced and Phantom 4 Pro, had their landing positions oriented in a northwest-southeast direction, while Phantom 4 Advanced and Spark, which had more clustered landing positions, were oriented northeast-southwest (Figure 5). The standard distances and ellipse areas quantified the landing precision and accuracy for each drone showing that Phantom 4 Advanced and Spark performed better than Phantom 3 Advanced and Phantom 4 Pro. These statistics echoed what was observed when viewing those landing positions visually.<div class='html-fig-wrap'><div class='html-table_wrap_discription'><b>Table 1. </b>Mean center and directional ellipse statistics of the landing coordinates by the four drones tested.<div class='html-figpopup-table html-figpopup-link'><img data-large='/uploads/2024/05/11/b8398bf9504cfe3302ac8164c6e98b99.png' data-original='/uploads/2024/05/11/b8398bf9504cfe3302ac8164c6e98b99.png' src='/uploads/2024/05/11/b8398bf9504cfe3302ac8164c6e98b99.png'><a class='html-expand html-tablepopup' href='#Table1'></a></div></div></div><div class='html-fig-wrap'><div class='html-fig_img'><div class='html-figpopup html-figpopup-link' href='#Figure4'><img data-large='/uploads/2024/05/11/43abc131cd7d02620d3e290293747023.jpg' data-original='/uploads/2024/05/11/43abc131cd7d02620d3e290293747023.jpg' src='/uploads/2024/05/11/43abc131cd7d02620d3e290293747023.jpg'><a class='html-expand html-figpopup' href='#Figure4'></a></div></div><div class='html-fig_description'><b>Figure 4. </b>Landing positions of the four drones with the directional ellipse of each drone tested.</div></div><div class='html-fig-wrap'><div class='html-fig_img'><div class='html-figpopup html-figpopup-link' href='#Figure5'><img data-large='/uploads/2024/05/11/62c1641a10583a28363a602fc5b23f68.jpg' data-original='/uploads/2024/05/11/62c1641a10583a28363a602fc5b23f68.jpg' src='/uploads/2024/05/11/62c1641a10583a28363a602fc5b23f68.jpg'><a class='html-expand html-figpopup' href='#Figure5'></a></div></div><div class='html-fig_description'><b>Figure 5. </b>Landing positions of the drones and directional ellipses with the focus of Phantom 4 Advanced and Spark.</div></div><i>4.3. Linear Directional Mean</i> When both the distance and direction of errors were taken into consideration as a vector off from the home position, it was reconfirmed that the Phantom 4 Advanced was the most accurate with a mean distance error of 0.62 ft, while the Phantom 3 Advanced was the least accurate with a mean distance error of 12.92 ft. Both Phantom 4 Advanced and Phantom 4 Pro, are found uniform in their landing directions from the launch pad, while the other two drones were directional, with both Phantom 3 Advanced (<i>p</i> < 0.0001) and Spark (<i>p</i> = 0.0434) concentrated on the northeast direction (Table 2 and Figure 6 and Figure 7). Although Phantom 4 Advanced and Phantom 4 Pro had very different landing accuracy with their mean distance errors 0.62 ft vs. 4.27 ft, their landing positions were evenly distributed around the launch pad in terms of direction. For the Phantom 3 Advanced, with its largest mean distance error and the mean direction of errors concentrated along the northeast direction, it reflected the earlier observation on the landing positions of this drone where there were less trees in that direction from the launch pad (Figure 3).<div class='html-fig-wrap'><div class='html-table_wrap_discription'><b>Table 2. </b>Linear directional mean statistics of the landing positions by the four drones tested.<div class='html-figpopup-table html-figpopup-link'><img data-large='/uploads/2024/05/11/19bbee9e0f208a50fd87619af175c53a.png' data-original='/uploads/2024/05/11/19bbee9e0f208a50fd87619af175c53a.png' src='/uploads/2024/05/11/19bbee9e0f208a50fd87619af175c53a.png'><a class='html-expand html-tablepopup' href='#Table2'></a></div></div></div><div class='html-fig-wrap'><div class='html-fig_img'><div class='html-figpopup html-figpopup-link' href='#Figure6'><img data-large='/uploads/2024/05/11/83caf064381b64a8179a632269d11fc1.jpg' data-original='/uploads/2024/05/11/83caf064381b64a8179a632269d11fc1.jpg' src='/uploads/2024/05/11/83caf064381b64a8179a632269d11fc1.jpg'><a class='html-expand html-figpopup' href='#Figure6'></a></div></div><div class='html-fig_description'><b>Figure 6. </b>The linear directional mean and vector of each of the four drone’s tests.</div></div><div class='html-fig-wrap'><div class='html-fig_img'><div class='html-figpopup html-figpopup-link' href='#Figure7'><img data-large='/uploads/2024/05/11/e52e881c19600175eef97bd7a2aae786.jpg' data-original='/uploads/2024/05/11/e52e881c19600175eef97bd7a2aae786.jpg' src='/uploads/2024/05/11/e52e881c19600175eef97bd7a2aae786.jpg'><a class='html-expand html-figpopup' href='#Figure7'></a></div></div><div class='html-fig_description'><b>Figure 7. </b>The linear directional mean and vector with the focus of Phantom 4 Advanced and Spark.</div></div><i>4.4. Analysis of Vairance</i> The analysis of variance (ANOVA) tested if any drone achieved significantly higher accuracy than others based on the distances from a landing position to the launch pad. The resulted p-value (<0.001) showed that there is significant difference statistically. The following Tukey test identified that both Phantom 4 Advanced and Spark are ranked as the most accurate, followed by Phantom 4 Pro, while Phantom 3 Advanced is the least accurate (Table 3). It does not seem that the form factor of a drone played an important role as Spark has a smaller dimension than the three other Phantom drones, while its landing accuracy is in par with Phantom 4 Advanced. Since Phantom 3 Advanced is an older model drone of the DJI Phantom series, it is reasonable that Phantom 3 Advance had a lower landing accuracy compared to the Phantom 4 drones which came with more advanced technology. However, it is surprising that Phantom 4 Pro did not achieve the same level of accuracy as Phantom 4 Advanced. It could be contributed by the fact that during the test, on average this drone spent more time in the air before the return-to-home routine was initiated. This prolonged in the air time might dilute its return-to-home precision and accuracy.<div class='html-fig-wrap'><div class='html-table_wrap_discription'><b>Table 3. </b>Summary statistics, ANOVA, and Tukey test on the distances (ft) off from the launch pad categorized by the four drones tested.<div class='html-figpopup-table html-figpopup-link'><img data-large='/uploads/2024/05/11/da88279577bd4bb0e85e69798f95c22f.png' data-original='/uploads/2024/05/11/da88279577bd4bb0e85e69798f95c22f.png' src='/uploads/2024/05/11/da88279577bd4bb0e85e69798f95c22f.png'><a class='html-expand html-tablepopup' href='#Table3'></a></div></div></div><i>4.5. Influence by Weather Conditions</i> It appears that the overall weather condition (Clear/Partly cloudy/Cloudy) did not play a role in the return-to-home accuracy (Figure 8). For wind speed, higher wind speed measured at the time of landing did reduce the accuracy of Phantom 3 Advanced and Phantom 4 Advanced. However, it is inconsistent for the Phantom 4 Pro and Spark (Figure 9). Also observed is that lower air temperature reduced the accuracy, found on all tested drones except for the Phantom 4 Pro (Figure 10). During the test period, no extreme weather conditions were observed. It is common that a drone flight will not be conducted under extreme weather conditions. However, the wind guest at the time of landing is something that might be out of control. Although wind speed was not found significant in this study, cautions should be taken when planning to fly a mission over a forested area considering weather conditions.<div class='html-fig-wrap'><div class='html-fig_img'><div class='html-figpopup html-figpopup-link' href='#Figure8'><img data-large='/uploads/2024/05/11/e66d75f975959f1b78dc67fc0740e9f2.jpg' data-original='/uploads/2024/05/11/e66d75f975959f1b78dc67fc0740e9f2.jpg' src='/uploads/2024/05/11/e66d75f975959f1b78dc67fc0740e9f2.jpg'><a class='html-expand html-figpopup' href='#Figure8'></a></div></div><div class='html-fig_description'><b>Figure 8. </b>Average error distance from the launch pad by each drone tested under different weather conditions.</div></div><div class='html-fig-wrap'><div class='html-fig_img'><div class='html-figpopup html-figpopup-link' href='#Figure9'><img data-large='/uploads/2024/05/11/d621dfe26227e9773367c948c041dbfb.jpg' data-original='/uploads/2024/05/11/d621dfe26227e9773367c948c041dbfb.jpg' src='/uploads/2024/05/11/d621dfe26227e9773367c948c041dbfb.jpg'><a class='html-expand html-figpopup' href='#Figure9'></a></div></div><div class='html-fig_description'><b>Figure 9. </b>Average error distance from the launch pad by each drone tested under different wind speed categories.</div></div><div class='html-fig-wrap'><div class='html-fig_img'><div class='html-figpopup html-figpopup-link' href='#Figure10'><img data-large='/uploads/2024/05/11/7d701909a5c92017a567bd1a8b4374dd.jpg' data-original='/uploads/2024/05/11/7d701909a5c92017a567bd1a8b4374dd.jpg' src='/uploads/2024/05/11/7d701909a5c92017a567bd1a8b4374dd.jpg'><a class='html-expand html-figpopup' href='#Figure10'></a></div></div><div class='html-fig_description'><b>Figure 10. </b>Average error distance from the launch pad by each drone tested under different temperature categories.</div></div></div> <h2 class="border-bottom"> <a id="link-discussion" class="anchor-66"></a> 5. Conclusions </h2> <div class="link-discussion article-item-text">The Phantom 4 Advanced and the Spark had significantly higher return-to-home landing accuracy than the Phantom 4 Pro and the Phantom 3 Advanced due to better technology used in the newer models of the DJI product line. While having the least landing accuracy, the Phantom 3 Advanced had its landing positions concentrated in the direction northeast from the launch pad that is also the area having least tree density. Wind speed at the time of landing did not play a role in landing accuracy, whereas lower temperature reducing accuracy was observed. With its user-friendly flight control interface, versatile mission planning applications, and affordable image processing packages (even free such as WebODM [<a href='#B17' class='html-bibr' title='17'>17</a>]), capturing aerial photos with a drone has become commonplace in many different fields. However, when operating a drone in a woodland landscape, investing in a newer model of drone would assure higher return-to-home accuracy that would allow the drone return to the launch position safely. For precision landing in unstructured environments, Pluckter and Scherer [<a href='#B18' class='html-bibr' title='18'>18</a>] proposed adding a fisheye lens to land a drone. For future uses, automated landing systems with 4 cm accuracy in landing using lights were developed to increase precision landing and to automate charging systems [<a href='#B19' class='html-bibr' title='19'>19</a>] demonstrating that automated landing accuracy can be enhanced by vision-based autonomous landings [<a href='#B20' class='html-bibr' title='20'>20</a>]. To further increase the safety of landing, AI-based image recognition is used with the onboard cameras. The onboard camera will identify landing points similar to Figure 2 and use three-dimensional coordinates to avoid obstacles [<a href='#B21' class='html-bibr' title='21'>21</a>]. Using the drone visible light camera sensor, a lightDenseYOLO algorithm was developed for autonomous drone landing [<a href='#B22' class='html-bibr' title='22'>22</a>]. Ground based markers were proposed for accuracy of drone landings [<a href='#B23' class='html-bibr' title='23'>23</a>]. The best practice is to maintain visual line of sight to the drone, particularly during the return-to-home phase. If something unexpected is going to happen, the drone pilot should take over the control manually on the drone to bring it home safely. The relative accuracy of the landings in our study indicates the inherent technology of the drones investigated. Adoption of proposed landing methods will enhance the accuracy of the return-to-home feature of the drones. Future research could include more factors such RTK (real-time kinetic) capability in positioning the drone.</div> <div class="link-conclusions article-item-text"></div> <div class="link-supplementary-materials article-item-text"></div> <div class="link-appendix article-item-text"></div> <div class="link-appendix-b article-item-text"></div> <h2 class="border-bottom"> <a id="link-acknowledgments" class="anchor-66"></a> Acknowledgments </h2> <div class="link-acknowledgments article-item-text">The authors thank the GIS Laboratory in the Arthur Temple College of Forestry and Agriculture at Stephen F. Austin State University for their technical support.</div> <h2 class="border-bottom"> <a id="link-author-contributions" class="anchor-66"></a> Author Contributions </h2> <div class="link-author-contributions article-item-text">Conceptualization, I.-K.H., D.K. and D.U.; Methodology, I.-K.H. and D.U.; Validation, I.-K.H., D.U. and Y.Z.; Formal Analysis, I.-K.H.; Investigation, I.-K.H.; Resources, I.-K.H.; Data Curation, I.-K.H. D.U, and Y.Z.; Writing—Original Draft Preparation, I.-K.H.; Writing—Review & Editing, I.-K.H, D.K., D.U., and Y.Z.; Visualization, I.-K.H.; Supervision, D.K.; Project Administration, D.K.; Funding Acquisition, I.-K.H., D.K, D.U. and Y.Z.</div> <h2 class="border-bottom"> <a id="link-ethics-statement" class="anchor-66"></a> Ethics Statement </h2> <div class="link-ethics-statement article-item-text">Not applicable.</div> <h2 class="border-bottom"> <a id="link-informed-consent-statement" class="anchor-66"></a> Informed Consent Statement </h2> <div class="link-informed-consent-statement article-item-text">Not applicable.</div> <h2 class="border-bottom"> <a id="link-funding" class="anchor-66"></a> Funding </h2> <div class="link-funding article-item-text">This research was supported by McIntire Stennis Capacity grant no. NI18MSCFRXXXG012/project accession nos. 1004705, 1004707, 1011115, 1011116 from the USDA National Institute of Food and Agriculture.</div> <h2 class="border-bottom"> <a id="link-declaration-competing-interest" class="anchor-66"></a> Declaration of Competing Interest </h2> <div class="link-declaration-competing-interest article-item-text">The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.</div> <h2 class="border-bottom"> <a id="html-references_list" class="anchor-66"></a> References </h2> <div class="references_zt"> <div class="references_at"> <div class="references html-x" id='B1'> <div class="references_sup">1.</div> <div class="references_name"> Campbell JB, Wynne RH. <em>Introduction to Remote Sensing</em>, 5th ed.; Guilford Press: New York, NY, USA, 2011. </div> </div> <div class="references html-x" id='B2'> <div class="references_sup">2.</div> <div class="references_name"> David P, Paine DP, James D, Kiser JD. <em>Aerial Photography and Image Interpretation</em>, 3rd ed.; Wiley: Hoboken, NJ, USA, 2012. </div> </div> <div class="references html-x" id='B3'> <div class="references_sup">3.</div> <div class="references_name"> Fardusi M, Chianucci F, Barbati A. 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