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<front>
<journal-meta>
<journal-id journal-id-type="nlm-ta">PLoS ONE</journal-id>
<journal-id journal-id-type="publisher-id">plos</journal-id>
<journal-id journal-id-type="pmc">plosone</journal-id>
<journal-title-group>
<journal-title>PLOS ONE</journal-title>
</journal-title-group>
<issn pub-type="epub">1932-6203</issn>
<publisher>
<publisher-name>Public Library of Science</publisher-name>
<publisher-loc>San Francisco, CA USA</publisher-loc>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.1371/journal.pone.0297153</article-id>
<article-id pub-id-type="publisher-id">PONE-D-23-28678</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Research Article</subject>
</subj-group>
<subj-group subj-group-type="Discipline-v3">
<subject>Biology and life sciences</subject><subj-group><subject>Agriculture</subject><subj-group><subject>Crop science</subject><subj-group><subject>Crops</subject></subj-group></subj-group></subj-group></subj-group><subj-group subj-group-type="Discipline-v3">
<subject>Engineering and technology</subject><subj-group><subject>Remote sensing</subject><subj-group><subject>Lidar</subject></subj-group></subj-group></subj-group><subj-group subj-group-type="Discipline-v3">
<subject>Computer and information sciences</subject><subj-group><subject>Software engineering</subject><subj-group><subject>Computer software</subject></subj-group></subj-group></subj-group><subj-group subj-group-type="Discipline-v3">
<subject>Engineering and technology</subject><subj-group><subject>Software engineering</subject><subj-group><subject>Computer software</subject></subj-group></subj-group></subj-group><subj-group subj-group-type="Discipline-v3">
<subject>Biology and life sciences</subject><subj-group><subject>Developmental biology</subject><subj-group><subject>Plant growth and development</subject></subj-group></subj-group></subj-group><subj-group subj-group-type="Discipline-v3">
<subject>Biology and life sciences</subject><subj-group><subject>Plant science</subject><subj-group><subject>Plant growth and development</subject></subj-group></subj-group></subj-group><subj-group subj-group-type="Discipline-v3">
<subject>Computer and information sciences</subject><subj-group><subject>Digital imaging</subject></subj-group></subj-group><subj-group subj-group-type="Discipline-v3">
<subject>Engineering and technology</subject><subj-group><subject>Measurement</subject><subj-group><subject>Time measurement</subject></subj-group></subj-group></subj-group><subj-group subj-group-type="Discipline-v3">
<subject>Engineering and technology</subject><subj-group><subject>Signal processing</subject><subj-group><subject>Image processing</subject></subj-group></subj-group></subj-group><subj-group subj-group-type="Discipline-v3">
<subject>Biology and life sciences</subject><subj-group><subject>Organisms</subject><subj-group><subject>Eukaryota</subject><subj-group><subject>Plants</subject><subj-group><subject>Grasses</subject><subj-group><subject>Barley</subject></subj-group></subj-group></subj-group></subj-group></subj-group></subj-group></article-categories>
<title-group>
<article-title>Crop growth dynamics: Fast automatic analysis of LiDAR images in field-plot experiments by specialized software ALFA</article-title>
<alt-title alt-title-type="running-head">ALFA—Airborne LiDAR field-plot analysis algorithm</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" xlink:type="simple">
<contrib-id authenticated="true" contrib-id-type="orcid">https://orcid.org/0000-0001-8629-9805</contrib-id>
<name name-style="western">
<surname>Fryčák</surname>
<given-names>Tadeáš</given-names>
</name>
<role content-type="http://credit.niso.org/contributor-roles/software/">Software</role>
<role content-type="http://credit.niso.org/contributor-roles/writing-original-draft/">Writing – original draft</role>
<xref ref-type="aff" rid="aff001"><sup>1</sup></xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple">
<name name-style="western">
<surname>Fürst</surname>
<given-names>Tomáš</given-names>
</name>
<role content-type="http://credit.niso.org/contributor-roles/methodology/">Methodology</role>
<role content-type="http://credit.niso.org/contributor-roles/software/">Software</role>
<role content-type="http://credit.niso.org/contributor-roles/writing-original-draft/">Writing – original draft</role>
<role content-type="http://credit.niso.org/contributor-roles/writing-review-editing/">Writing – review &amp; editing</role>
<xref ref-type="aff" rid="aff001"><sup>1</sup></xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple">
<name name-style="western">
<surname>Koprna</surname>
<given-names>Radoslav</given-names>
</name>
<role content-type="http://credit.niso.org/contributor-roles/methodology/">Methodology</role>
<role content-type="http://credit.niso.org/contributor-roles/supervision/">Supervision</role>
<xref ref-type="aff" rid="aff002"><sup>2</sup></xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple">
<name name-style="western">
<surname>Špíšek</surname>
<given-names>Zdeněk</given-names>
</name>
<role content-type="http://credit.niso.org/contributor-roles/formal-analysis/">Formal analysis</role>
<role content-type="http://credit.niso.org/contributor-roles/methodology/">Methodology</role>
<role content-type="http://credit.niso.org/contributor-roles/validation/">Validation</role>
<xref ref-type="aff" rid="aff002"><sup>2</sup></xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple">
<name name-style="western">
<surname>Miřijovský</surname>
<given-names>Jakub</given-names>
</name>
<role content-type="http://credit.niso.org/contributor-roles/data-curation/">Data curation</role>
<role content-type="http://credit.niso.org/contributor-roles/formal-analysis/">Formal analysis</role>
<role content-type="http://credit.niso.org/contributor-roles/methodology/">Methodology</role>
<role content-type="http://credit.niso.org/contributor-roles/software/">Software</role>
<role content-type="http://credit.niso.org/contributor-roles/writing-original-draft/">Writing – original draft</role>
<xref ref-type="aff" rid="aff003"><sup>3</sup></xref>
</contrib>
<contrib contrib-type="author" corresp="yes" xlink:type="simple">
<contrib-id authenticated="true" contrib-id-type="orcid">https://orcid.org/0000-0002-8915-4369</contrib-id>
<name name-style="western">
<surname>Humplík</surname>
<given-names>Jan F.</given-names>
</name>
<role content-type="http://credit.niso.org/contributor-roles/conceptualization/">Conceptualization</role>
<role content-type="http://credit.niso.org/contributor-roles/methodology/">Methodology</role>
<role content-type="http://credit.niso.org/contributor-roles/supervision/">Supervision</role>
<role content-type="http://credit.niso.org/contributor-roles/validation/">Validation</role>
<role content-type="http://credit.niso.org/contributor-roles/writing-original-draft/">Writing – original draft</role>
<role content-type="http://credit.niso.org/contributor-roles/writing-review-editing/">Writing – review &amp; editing</role>
<xref ref-type="aff" rid="aff002"><sup>2</sup></xref>
<xref ref-type="corresp" rid="cor001">*</xref>
</contrib>
</contrib-group>
<aff id="aff001"><label>1</label> <addr-line>Department of Mathematical Analysis and Applications of Mathematics, Faculty of Science, Palacký University, Olomouc, Czech Republic</addr-line></aff>
<aff id="aff002"><label>2</label> <addr-line>Department of Chemical Biology, Faculty of Science, Palacký University, Olomouc, Czech Republic</addr-line></aff>
<aff id="aff003"><label>3</label> <addr-line>Department of Geoinformatics, Faculty of Science, Palacký University, Olomouc, Czech Republic</addr-line></aff>
<contrib-group>
<contrib contrib-type="editor" xlink:type="simple">
<name name-style="western">
<surname>Silva</surname>
<given-names>Claudionor Ribeiro da</given-names>
</name>
<role>Editor</role>
<xref ref-type="aff" rid="edit1"/>
</contrib>
</contrib-group>
<aff id="edit1"><addr-line>Universidade Federal de Uberlandia, BRAZIL</addr-line></aff>
<author-notes>
<fn fn-type="conflict" id="coi001">
<p>The authors have declared that no competing interests exist.</p>
</fn>
<corresp id="cor001">* E-mail: <email xlink:type="simple">jan.humplik@upol.cz</email></corresp>
</author-notes>
<pub-date pub-type="epub">
<day>18</day>
<month>1</month>
<year>2024</year>
</pub-date>
<pub-date pub-type="collection">
<year>2024</year>
</pub-date>
<volume>19</volume>
<issue>1</issue>
<elocation-id>e0297153</elocation-id>
<history>
<date date-type="received">
<day>5</day>
<month>9</month>
<year>2023</year>
</date>
<date date-type="accepted">
<day>28</day>
<month>12</month>
<year>2023</year>
</date>
</history>
<permissions>
<copyright-year>2024</copyright-year>
<copyright-holder>Fryčák et al</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/" xlink:type="simple">
<license-p>This is an open access article distributed under the terms of the <ext-link ext-link-type="uri" xlink:href="http://creativecommons.org/licenses/by/4.0/" xlink:type="simple">Creative Commons Attribution License</ext-link>, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.</license-p>
</license>
</permissions>
<self-uri content-type="pdf" xlink:href="info:doi/10.1371/journal.pone.0297153"/>
<abstract>
<p>Repeated measurements of crop height to observe plant growth dynamics in real field conditions represent a challenging task. Although there are ways to collect data using sensors on UAV systems, proper data processing and analysis are the key to reliable results. As there is need for specialized software solutions for agricultural research and breeding purposes, we present here a fast algorithm ALFA for the processing of UAV LiDAR derived point-clouds to extract the information on crop height at many individual cereal field-plots at multiple time points. Seven scanning flights were performed over 3 blocks of experimental barley field plots between April and June 2021. Resulting point-clouds were processed by the new algorithm ALFA. The software converts point-cloud data into a digital image and extracts the traits of interest–the median crop height at individual field plots. The entire analysis of 144 field plots of dimension 80 x 33 meters measured at 7 time points (approx. 100 million LiDAR points) takes about 3 minutes at a standard PC. The Root Mean Square Deviation of the software-computed crop height from the manual measurement is 5.7 cm. Logistic growth model is fitted to the measured data by means of nonlinear regression. Three different ways of crop-height data visualization are provided by the software to enable further analysis of the variability in growth parameters. We show that the presented software solution is a fast and reliable tool for automatic extraction of plant height from LiDAR images of individual field-plots. We offer this tool freely to the scientific community for non-commercial use.</p>
</abstract>
<funding-group>
<award-group id="award001">
<funding-source>
<institution-wrap>
<institution-id institution-id-type="funder-id">http://dx.doi.org/10.13039/501100008530</institution-id>
<institution>European Regional Development Fund</institution>
</institution-wrap>
</funding-source>
<award-id>CZ.02.1.01/0.0/0.0/16_019/0000827</award-id>
</award-group>
<funding-statement>The work was supported by the European Regional Development Fund project "Plants as a tool for sustainable global development" (No. CZ.02.1.01/0.0/0.0/16_019/0000827). The funder had no role in study design, data collection and analysis, decision to publish, or preparation of the manuscript.</funding-statement>
</funding-group>
<counts>
<fig-count count="6"/>
<table-count count="0"/>
<page-count count="11"/>
</counts>
<custom-meta-group>
<custom-meta id="data-availability">
<meta-name>Data Availability</meta-name>
<meta-value>Software tool is freely accessible here: <ext-link ext-link-type="uri" xlink:href="https://github.com/PalackyUniversity/alfa" xlink:type="simple">https://github.com/PalackyUniversity/alfa</ext-link> The datasets analysed in the current study are available in public stable data repository Zenodo under DOI <ext-link ext-link-type="uri" xlink:href="https://doi.org/10.5281/zenodo.10161951" xlink:type="simple">10.5281/zenodo.10161951</ext-link> (<ext-link ext-link-type="uri" xlink:href="https://zenodo.org/doi/10.5281/zenodo.10161951" xlink:type="simple">https://zenodo.org/doi/10.5281/zenodo.10161951</ext-link>).</meta-value>
</custom-meta>
</custom-meta-group>
</article-meta>
</front>
<body>
<sec id="sec001" sec-type="intro">
<title>Introduction</title>
<p>Intensity of plant growth provides key information about the plant’s ability to withstand all possible life situations in various environments. Analysis of plant growth is especially useful when performing agricultural experiments and plant breeding programs [<xref ref-type="bibr" rid="pone.0297153.ref001">1</xref>]. However, manual measurements are very laborious, and widely affected by inter-rater variability [<xref ref-type="bibr" rid="pone.0297153.ref002">2</xref>]. Small field-plots that consist of a single treatment (genotype/variety) are often used as the basic unit in plant and agricultural research. To analyze growth (expressed as the change in the crop height in time), the crop height in individual field-plots is manually assessed by some “ruler” resulting in each unit (field-plot) being represented by a single number (or a few numbers). These numbers are taken to represent the crop height over the entire field-plot, regardless of possible spatial heterogeneity which is often observed in agricultural experiments [<xref ref-type="bibr" rid="pone.0297153.ref003">3</xref>]. To obtain more reliable growth data, analysis of crop height in the entire plot area can be performed [<xref ref-type="bibr" rid="pone.0297153.ref004">4</xref>]. This assures that variability in crop height formed by thousands of individual plants will be properly reflected in the results. Moreover, when plant growth is measured, several measurements of crop height are needed to cover most of the vegetative period. This advocates for automatic (e.g. UAV-aided) rather than manual approaches.</p>
<p>For these reasons, several remote-sensing approaches have been developed, such as structure-from-motion (SFM) or LiDAR-based solution. SFM techniques are cheaper but highly demanding from the data processing point of view [<xref ref-type="bibr" rid="pone.0297153.ref005">5</xref>]. On the contrary, LiDAR systems are precise and can be analyzed relatively fast however [<xref ref-type="bibr" rid="pone.0297153.ref006">6</xref>]. There are several limitations that may affect implementation of UAV-LiDAR system to the research workflow. First is the cost of the equipment, then the need to learn how to operate the UAV equipment and to comply with the relevant legislative provisions for its operation. Although the cost of UAV LiDAR systems was very high until recently, there are now systems on the market that rival more advanced RGB orthophotography systems in price. As LiDAR systems provide more accurate data and their processing has significantly lower computational requirements [<xref ref-type="bibr" rid="pone.0297153.ref007">7</xref>], their importance in agricultural research and plant breeding will increase. LiDAR solutions are not limited to airborne systems only, they also include terrestrial LiDARs [<xref ref-type="bibr" rid="pone.0297153.ref008">8</xref>], LiDARs on various moveable platforms such as tractors or sprayers [<xref ref-type="bibr" rid="pone.0297153.ref009">9</xref>]. Both SFM and LiDAR solutions are suitable for generation of crop height models (CHM) derived from point-cloud files. The term CHM was invented for digital surface models (DSM) specifically applied to crops. CHM is defined as a normalized DSM (nDSM) which results from the subtraction of a digital elevation model (DEM = “ground” points only) from DSM containing other features, in our case plant canopy [<xref ref-type="bibr" rid="pone.0297153.ref004">4</xref>, <xref ref-type="bibr" rid="pone.0297153.ref010">10</xref>].</p>
<p>It has been reported that crop-specific CHM perform better than generalized crop models [<xref ref-type="bibr" rid="pone.0297153.ref011">11</xref>]. Studies were focused on segmentation of individual plants as is typical for maize [<xref ref-type="bibr" rid="pone.0297153.ref012">12</xref>, <xref ref-type="bibr" rid="pone.0297153.ref013">13</xref>] or on segmentation of entire field-trial plots in case of other cereals, sorghum or cotton [<xref ref-type="bibr" rid="pone.0297153.ref014">14</xref>–<xref ref-type="bibr" rid="pone.0297153.ref017">17</xref>]. The conversion of point-clouds to CHM can be done manually using software for digital terrain model processing [<xref ref-type="bibr" rid="pone.0297153.ref016">16</xref>], but specialized algorithms have also been reported [<xref ref-type="bibr" rid="pone.0297153.ref018">18</xref>]. Although the CHM can be efficiently utilized for segmentation of trial field-plots, they have been found insufficient for individual plant segmentation [<xref ref-type="bibr" rid="pone.0297153.ref019">19</xref>]. For these specific purposes other methods based on direct-point segmentation were developed [<xref ref-type="bibr" rid="pone.0297153.ref020">20</xref>]. Other approaches, such as regional growth [<xref ref-type="bibr" rid="pone.0297153.ref021">21</xref>] or voxel-space projection [<xref ref-type="bibr" rid="pone.0297153.ref022">22</xref>], utilize features of individual points from the point-cloud as well the spatial relations between the points. Most recent progress in LiDAR data application and analysis was comprehensively described by Rivera et al. [<xref ref-type="bibr" rid="pone.0297153.ref023">23</xref>]. Gao et al. [<xref ref-type="bibr" rid="pone.0297153.ref012">12</xref>] recently proposed a method combining RGB orthophoto to identify seed points in young seedlings of maize for their later segmentation from LiDAR point-cloud using fuzzy based C-means clustering analysis. To overcome low accuracy of analysis in cotton-canopy height, Xu et al. [<xref ref-type="bibr" rid="pone.0297153.ref024">24</xref>] developed method implementing canopy laser interception compensation mechanism in their model. Our previous algorithm [<xref ref-type="bibr" rid="pone.0297153.ref025">25</xref>] was based on direct-point analysis strategy to segment trial field-plots of winter wheat. However, direct-point analysis is highly demanding on computing time. This reduced the applicability of our previous algorithm in datasets containing multiple point-clouds. Thus, we propose a new software based on the CHM strategy. The proposed solution reduces the computation time for a 1GB sized point-cloud file from several hours to several minutes without compromising precision and accuracy. In contrast to the previous algorithm, it can be run efficiently on a standard PC or laptop. The aim of this contribution is to describe the algorithm and show its utility in real conditions.</p>
</sec>
<sec id="sec002" sec-type="materials|methods">
<title>Material and methods</title>
<p>Field testing was performed at a location at Palacky University experimental field area in Olomouc (49.5750947 N, 17.2843269 E). Field plot experiments were performed on the spring barley variety Francin (Selgen, CZ) during the year 2021. Field-plots were scanned using UAV system Ricopter VUX-1UAV, Riegl GmBh, Austria) that was operated automatically using the UGCS software (SPH Engineering, Latvia) as described previously [<xref ref-type="bibr" rid="pone.0297153.ref025">25</xref>]. The flight altitude was set to 20 m AGL, horizontal speed of flight 4 m/s, scanning line distance 9 m, calculated side overlap (77%, 31 m). The LiDAR sensor was running at the maximum laser pulse rate (550 kHz). The drone data is presented as a 3D point-cloud format, which consists of a list of [x, y, z] coordinates representing the positions of the recorded points First, we convert this format into a 2.5D digital image format, allowing for the utilization of fast digital image processing methods [<xref ref-type="bibr" rid="pone.0297153.ref026">26</xref>]. However, this conversion results in a loss of information because in a digital image, a single z-value is associated with each [x, y] coordinate [<xref ref-type="bibr" rid="pone.0297153.ref027">27</xref>]. Nevertheless, for crop height measurement purposes, this transformation is suitable. Additionally, no measured z-values are deleted; instead, all z-values corresponding to the same [x, y] coordinate are averaged as described below.</p>
<sec id="sec003">
<title>Data filtering and rasterization</title>
<p>The first step involves cleaning the point-cloud data by eliminating any outlier points that fall outside the 99.9% quantile in the x, y, or z coordinates. Subsequently, a uniform rectangular grid is created in the x-y plane, and each 3D point in the point cloud is assigned to the nearest grid pixel. The elevation of each grid pixel is then calculated as the average of all z-coordinates of cloud points assigned to that specific grid point. During this process, the elevation of certain grid points may remain undefined if no cloud points were assigned to them. To address this, a median filter is applied to impute the missing values [<xref ref-type="bibr" rid="pone.0297153.ref028">28</xref>]. Furthermore, the z-coordinates are quantized to optimize the resulting image for a 16-bit depth. After completing these steps, the original 3D point-cloud files are transformed and saved as significantly smaller 16-bit PNG images, while preserving the crop height information. Each PNG file corresponds to a specific drone measurement time. These PNG images can be conveniently processed using standard image processing tools.</p>
</sec>
<sec id="sec004">
<title>Selection of Region of Interest (ROI)</title>
<p>The initial image from the repeated measurements must be rotated so that the user can define the ROI. A simple Graphical User Interface (GUI) is provided to the user to enable the rotation and ROI selection in the first image (i.e. the image from the first measurement time). Next, all subsequent images (i.e. images from later measurement times) are automatically cropped and rotated to match the selected ROI.</p>
</sec>
<sec id="sec005">
<title>Instance segmentation algorithm</title>
<p>Subsequently, the ROI undergoes segmentation to identify the individual field plots within the image for later CHM generation. Vertical and horizontal edges separating the field plots are automatically detected by summing the image values vertically and horizontally (<xref ref-type="fig" rid="pone.0297153.g001">Fig 1A</xref>). Peaks are automatically detected in the summed images by means of numerical derivatives (<xref ref-type="fig" rid="pone.0297153.g001">Fig 1B</xref>).</p>
<fig id="pone.0297153.g001" position="float">
<object-id pub-id-type="doi">10.1371/journal.pone.0297153.g001</object-id>
<label>Fig 1</label>
<caption>
<title>Instance segmentation of individual fields.</title>
<p>The digital image of a field block highlighted in yellow in <xref ref-type="fig" rid="pone.0297153.g002">Fig 2B</xref> is summed along the shorter edge. A) Vertical normalized sums of the processed image (blue) with automatically identified left (green) and right (orange) edges of the individual field plots. B) First derivative of the sum in panel A, enabling the automatic detection of the plot edges.</p>
</caption>
<graphic mimetype="image" position="float" xlink:href="info:doi/10.1371/journal.pone.0297153.g001" xlink:type="simple"/>
</fig>
<fig id="pone.0297153.g002" position="float">
<object-id pub-id-type="doi">10.1371/journal.pone.0297153.g002</object-id>
<label>Fig 2</label>
<caption>
<title>Initial processing of the point-cloud data into the crop height model.</title>
<p>A) The raw digital image obtained from the point-cloud data by averaging the z-values corresponding to the same [x, y] coordinate. B) The digital image after the application of the median filter to impute the missing values. A single block highlighted in yellow, a single field-plot within the block highlighted in red. The experimental area analysed in the rest of the paper is marked in cyan.</p>
</caption>
<graphic mimetype="image" position="float" xlink:href="info:doi/10.1371/journal.pone.0297153.g002" xlink:type="simple"/>
</fig>
</sec>
<sec id="sec006">
<title>Distortion correction</title>
<p>The individual field plots are often thin and long and their images may be skewed. Thus, we apply a correction by fitting a parallelogram to the boundary of the field plots (<xref ref-type="fig" rid="pone.0297153.g003">Fig 3</xref>). The deformation is then automatically rectified through an affine transform algorithm, which is accessible within the OpenCV toolbox [<xref ref-type="bibr" rid="pone.0297153.ref029">29</xref>]. The original image (with distorted plots) is shown in <xref ref-type="fig" rid="pone.0297153.g003">Fig 3A</xref>, the result of the affine correction is shown in <xref ref-type="fig" rid="pone.0297153.g003">Fig 3B</xref>. Notice that in <xref ref-type="fig" rid="pone.0297153.g003">Fig 3B</xref>, the boundaries of the plots are formed by rectangles.</p>
<fig id="pone.0297153.g003" position="float">
<object-id pub-id-type="doi">10.1371/journal.pone.0297153.g003</object-id>
<label>Fig 3</label>
<caption>
<title/>
<p>Distortion correction A) A detail of a single <italic>block</italic> before the affine correction. Notice the skewed vertical boundaries of the plots. B) The same <italic>block</italic> after the affine correction. The individual plots have now rectangular boundaries.</p>
</caption>
<graphic mimetype="image" position="float" xlink:href="info:doi/10.1371/journal.pone.0297153.g003" xlink:type="simple"/>
</fig>
</sec>
<sec id="sec007">
<title>Crop height computation</title>
<p>The digital image is very “noisy” in the sense that z-values corresponding to neighbouring grid points may be very different. To create a CHM, a maximum filter is used. Each pixel value in the image is substituted by the maximum of its neighbours. Intuitively, this operation corresponds to covering the original image by a deformable blanket. Next, the ground-surface (DEM) at time zero is subtracted from each image to account for any variability in the terrain. For each field-plot and each time of measurement, the following characteristics of the crop height are computed: mean, standard deviation, median, minimum, maximum, and several quantiles. The relative growth rate between time <italic>t</italic><sub><italic>1</italic></sub> and <italic>t</italic><sub><italic>2</italic></sub> is computed using the relation [<xref ref-type="bibr" rid="pone.0297153.ref030">30</xref>]
<disp-formula id="pone.0297153.e001">
<alternatives>
<graphic id="pone.0297153.e001g" mimetype="image" position="anchor" xlink:href="info:doi/10.1371/journal.pone.0297153.e001" xlink:type="simple"/>
<mml:math display="block" id="M1">
<mml:mrow><mml:mi>R</mml:mi><mml:mi>G</mml:mi><mml:mi>R</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mn>1</mml:mn></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi>t</mml:mi><mml:mn>2</mml:mn></mml:msub></mml:mrow><mml:mo stretchy="false">)</mml:mo><mml:mo>=</mml:mo><mml:mfrac><mml:mrow><mml:mi mathvariant="normal">ln</mml:mi><mml:mi>S</mml:mi><mml:mo>(</mml:mo><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mn>2</mml:mn></mml:msub></mml:mrow><mml:mo>)</mml:mo><mml:mo>−</mml:mo><mml:mi mathvariant="normal">ln</mml:mi><mml:mi>S</mml:mi><mml:mo>(</mml:mo><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mn>1</mml:mn></mml:msub></mml:mrow><mml:mo>)</mml:mo></mml:mrow><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mn>2</mml:mn></mml:msub><mml:mo>−</mml:mo><mml:msub><mml:mi>t</mml:mi><mml:mn>1</mml:mn></mml:msub></mml:mrow></mml:mfrac></mml:mrow>
</mml:math>
</alternatives>
<label>(1)</label>
</disp-formula>
Where S(t) is the median crop height at time t.</p>
<p>Each field plot is indexed by its <italic>variant</italic> number <italic>i</italic> and <italic>block</italic> number <italic>j</italic> (see <xref ref-type="fig" rid="pone.0297153.g002">Fig 2</xref>). The growth in each field-segment is analysed as follows. Let <italic>S</italic><sub><italic>ij</italic></sub><italic>(t)</italic> be the median crop height of variant <italic>i</italic> in block <italic>j</italic> at time <italic>t</italic>. A logistic growth curve is fitted to the data (separately in each field plot). The logistic curve is defined by:
<disp-formula id="pone.0297153.e002">
<alternatives>
<graphic id="pone.0297153.e002g" mimetype="image" position="anchor" xlink:href="info:doi/10.1371/journal.pone.0297153.e002" xlink:type="simple"/>
<mml:math display="block" id="M2">
<mml:mrow><mml:mi>S</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>t</mml:mi><mml:mo stretchy="false">)</mml:mo><mml:mo>=</mml:mo><mml:mfrac><mml:mi>A</mml:mi><mml:mrow><mml:mn>1</mml:mn><mml:mo>+</mml:mo><mml:mi mathvariant="italic">exp</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mo>−</mml:mo><mml:mi>B</mml:mi><mml:mi>t</mml:mi><mml:mo>−</mml:mo><mml:mi>C</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mfrac></mml:mrow>
</mml:math>
</alternatives>
<label>(2)</label>
</disp-formula>
Where <italic>A</italic> characterizes the maximum height that the crop would reach if observed long enough, <italic>B</italic> captures the growth velocity, and <italic>C</italic> captures growth onset (for review see [<xref ref-type="bibr" rid="pone.0297153.ref031">31</xref>]). The parameters <italic>A</italic>, <italic>B</italic>, <italic>C</italic> are found using a standard non-linear least squares regression (implemented in MATLAB). The variability in the parameters among the field-plots can be visualized by means of a heat map (see <xref ref-type="fig" rid="pone.0297153.g004">Fig 4</xref>). The effect of various treatments of the crop can be evaluated by analysing the variability among the A, B and C parameters inferred from the crop heights.</p>
<fig id="pone.0297153.g004" position="float">
<object-id pub-id-type="doi">10.1371/journal.pone.0297153.g004</object-id>
<label>Fig 4</label>
<caption>
<title>Visualization of the parameters of the sigmoid growth model for individual field-plots.</title>
<p>Parameter A (left panel) corresponds to the maximum possible height of the crop. Parameter B (middle panel) captures the “growth velocity” because it corresponds to the slope of the sigmoid curve. Parameter C (right panel) is the “offset” which captures the left-right shift of the sigmoid. Parameters are shown for blocks of field-plots 1, 2 and 3 as indicated by the red numbers in the top row. The left column of numbers stands for the ID of the variant, the right column shows the numerical value of the respective parameter of the sigmoid model. The parameter values are color coded. Observe the spatially correlated variability in the parameters.</p>
</caption>
<graphic mimetype="image" position="float" xlink:href="info:doi/10.1371/journal.pone.0297153.g004" xlink:type="simple"/>
</fig>
</sec>
</sec>
<sec id="sec008" sec-type="results">
<title>Results</title>
<p>Data for software testing and optimization were acquired using UAV LiDAR system (Ricopter VUX-SYS, Riegl GmBh, Austria) using same parameters as described previously [<xref ref-type="bibr" rid="pone.0297153.ref025">25</xref>]. Eight flights from March to June were performed to scan an array of barley field-plots organized into three experimental blocks (48 variants per each block, see the cyan experimental area in <xref ref-type="fig" rid="pone.0297153.g002">Fig 2B</xref>). LiDAR scans were processed as described previously to point-cloud files in the “las” format [<xref ref-type="bibr" rid="pone.0297153.ref032">32</xref>]. These files were processed by our software to segment point-cloud derived crop height model (CHM) and analyse the crop height at individual field-plots.</p>
<p>To validate the software and assess the UAV LiDAR scanning accuracy, we performed manual measurement using geodetic GPS and a ruler to measure the crop height. These measurements were performed the same day as the UAV LiDAR scanning and covered 6 and 7 field-plots homogeneously distributed across blocks 1 and 2. We performed validation of the crop height measurement in two blocks 1 and 2 by manually measuring the crop height at 5 points within each field-plot (see <xref ref-type="fig" rid="pone.0297153.g005">Fig 5</xref>). Our validation showed that the Root Mean Square Deviation (RMSD) of the software-computed crop height from the manual measurement was 5.7 cm (0.057 m) for both blocks together. The error distribution for each individual block is depicted in <xref ref-type="fig" rid="pone.0297153.g005">Fig 5</xref>.</p>
<fig id="pone.0297153.g005" position="float">
<object-id pub-id-type="doi">10.1371/journal.pone.0297153.g005</object-id>
<label>Fig 5</label>
<caption>
<title>Manual validation of the ALFA software crop height assessment.</title>
<p>A) Distribution of the difference between the software-computed crop height and the manual measurement. Blocks 1 and 2 are shown separately. B) Visualization of the field-plots that where included in the validation, identification of blocks 1 and 2. C) A detailed view of a selected field-plot showing the points of validation. The values in the right column show the software-computed crop height and the particular point. The values in the left column represent the manual measurement.</p>
</caption>
<graphic mimetype="image" position="float" xlink:href="info:doi/10.1371/journal.pone.0297153.g005" xlink:type="simple"/>
</fig>
<p>To assess crop growth dynamics, we measure the crop height at multiple time points during the vegetative developmental phase. In our case, we performed 7 UAV scanning flights over 3 experimental blocks with a total of 144 barley field-plots (see the experimental area marked in cyan in <xref ref-type="fig" rid="pone.0297153.g002">Fig 2</xref>). Seven scanning flights were performed between April and June 2021. Scanning was performed in automatic flight mode at 20 m AGL height. After necessary pre-processing steps, the point-cloud files were processed by our software (see <xref ref-type="sec" rid="sec002">Material and Methods</xref>). Multiple time-point measurements then allow to visualize growth in various ways: A simple bar graph of crop height at particular time-points, relative growth rates based on crop height data, or parameters of the sigmoid model fitted to the growth curve. Plotting crop height (<xref ref-type="fig" rid="pone.0297153.g006">Fig 6A</xref>) is the most straight-forward way but it does not allow for easy comparison of growth dynamics in individual field-plots. This is better visualized by a sigmoid fit of the growth curve (<xref ref-type="fig" rid="pone.0297153.g006">Fig 6C</xref>). It shows the overall dynamics of vegetative growth for each plot, but information about plant performance from individual time-points is hidden. On the contrary, RGR (<xref ref-type="fig" rid="pone.0297153.g006">Fig 6B</xref>) shows the growth rate in particular time-points and helps to understand the overall dynamics of plant growth. The three parameters of the sigmoid (A, B, and C, see section <xref ref-type="sec" rid="sec002">Material and Method</xref> above) can also be visualized separately by means of a heat map (see <xref ref-type="fig" rid="pone.0297153.g004">Fig 4</xref>).</p>
<fig id="pone.0297153.g006" position="float">
<object-id pub-id-type="doi">10.1371/journal.pone.0297153.g006</object-id>
<label>Fig 6</label>
<caption>
<title>Barley growth during vegetation season in selected representative field-plots.</title>
<p>For the individual field-plots, the figure shows the evolution of the crop height (A), RGR (B) and logistic (sigmoid) curves (C).</p>
</caption>
<graphic mimetype="image" position="float" xlink:href="info:doi/10.1371/journal.pone.0297153.g006" xlink:type="simple"/>
</fig>
</sec>
<sec id="sec009" sec-type="conclusions">
<title>Discussion</title>
<p>To validate accuracy of LiDAR scanning we validate CHM created by ALFA software by comparison to manual measurements using geodetic GPS with ruler. Root means square error for these measurements was 5.7 cm. This is better than the results reached with the previous software that was validated in wheat field-plots [<xref ref-type="bibr" rid="pone.0297153.ref025">25</xref>]. The manual measurements are based on the median of 5 values, whereas the LiDAR data reflect the height of the entire plot. However, it is hard to say if the validation by few-points based manual measurements relevant to the entire-plot analysis by LiDAR. For these reasons reporting RMSD to manual validation that is common in remote sensing publications is rather indicative parameter than real performance indicator [<xref ref-type="bibr" rid="pone.0297153.ref033">33</xref>].</p>
<p>Plant growth is a dynamic process which is highly non-linear [<xref ref-type="bibr" rid="pone.0297153.ref034">34</xref>]. Classical approach involves studying plant growth at a single, specific point in time. It can provide a snapshot of the plant’s state at that moment, including its size, shape, biomass, and other measurable characteristics. This method is relatively simple and requires less time and resources compared to a dynamic analysis. However, it does not capture the changes in plant growth over time and may miss important dynamic processes such are periods of exponential growth or growth stagnation and dormancy (reviewed in [<xref ref-type="bibr" rid="pone.0297153.ref002">2</xref>]).</p>
<p>To test our new software, we evaluated crop growth in 3 blocks, in the total of 144 field-plots. All of the plots contained the same genotype (cv. Francin), sown in a place where we previously observed very heterogeneous growth characteristics in cereals. For this reason, we decided to visualize the growth heterogeneity using a precise measurement of plant growth dynamics. Complexity of plant growth requires multiple-point of views providing better understanding to the researchers. For this reason, numerous mathematical models has been proposed during a time. Beside non-asymptotic linear forms [<xref ref-type="bibr" rid="pone.0297153.ref035">35</xref>, <xref ref-type="bibr" rid="pone.0297153.ref036">36</xref>] that are not recommended in most cases, various non-linear models were developed. These models better reflect real dynamics of growth affected by various environmental events. Based on plant species their life strategy and growing conditions researchers may choose different non-linear model. Most common is expression of plant growth as three-parameter logistic curve [<xref ref-type="bibr" rid="pone.0297153.ref037">37</xref>–<xref ref-type="bibr" rid="pone.0297153.ref039">39</xref>] that is also case of our software (see <xref ref-type="fig" rid="pone.0297153.g006">Fig 6</xref>). Other option is to use Gompertz model that differs from previous one in manifestation of inflection point (for comprehensive review see [<xref ref-type="bibr" rid="pone.0297153.ref040">40</xref>]). However, ALFA software is flexible and growth model and resulting curves can be easily changed in software code. Important differences in growth dynamics are obvious from the RGR and growth curve parameters (<xref ref-type="fig" rid="pone.0297153.g006">Fig 6B and 6C</xref>). Although we do not put any biological hypothesis in this methodological study it should be noted that some biological relevant differences manifested in growth parameters. The heterogeneity is particularly visible in the heat map (<xref ref-type="fig" rid="pone.0297153.g004">Fig 4</xref>) of the sigmoid growth model parameters. The heat map shows “patterns” of spatially correlated growth differences. It is known that barley is sensitive to different soil compaction that significantly affects root and shoot growth [<xref ref-type="bibr" rid="pone.0297153.ref041">41</xref>]. Since chemical analysis did not reveal any important variability in chemical and nutritional composition of soil, we presume that the physical properties of the soil play the key role.</p>
</sec>
<sec id="sec010" sec-type="conclusions">
<title>Conclusion</title>
<p>The aim of the software development was to design and optimize an algorithm capable of fast extraction of crop height from point-clouds obtained by UAV LiDAR scanning. Recent literature clearly shows that there is lack of specialized software solutions for automatic extraction of plant/plot/canopy features. As showed in systematic review of Rivera et al. [<xref ref-type="bibr" rid="pone.0297153.ref023">23</xref>], most of the published studies applying LiDAR in agriculture reported data processing by some of the generic geoinformatics software with manual point-cloud analysis. In contrast, our software automatically builds CHM and extract plant height for all experimental field-plots. The ALFA software (available freely for non-commercial use here: <ext-link ext-link-type="uri" xlink:href="https://github.com/PalackyUniversity/alfa" xlink:type="simple">https://github.com/PalackyUniversity/alfa</ext-link>) uses point-cloud data, converts them into a digital image, and extracts the trait of interest. The entire analysis of 144 field plots (1.2 x 9 meters each) measured at 7 time points takes about 3 minutes at a standard PC. The RMSD difference between the ALFA software computed crop height (from UAV LIDAR data) and a manual measurement (by a ruler) was 5.7 cm. Three different ways of expressing the plant growth dynamics are introduced to allow for understanding the plant growth dynamics and plant reactions to environmental changes. For the future, we plan to add a statistical toolbox to the ALFA software. The toolbox will assess the plant growth dynamic by means of hierarchical Bayesian model that correctly accounts for the spatially correlation of the growth dynamics. In this way, the true effects of treatment can be extracted from the inherently correlated growth data.</p>
</sec>
</body>
<back>
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<role>Academic Editor</role>
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<permissions>
<copyright-year>2024</copyright-year>
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<related-object document-id="10.1371/journal.pone.0297153" document-id-type="doi" document-type="article" id="rel-obj001" link-type="peer-reviewed-article"/>
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<named-content content-type="letter-date">4 Oct 2023</named-content>
</p>
<p><!-- <div> -->PONE-D-23-28678<!-- </div> --><!-- <div> -->ALFA - Airborne LiDAR Field-plot Analysis. Fast automatic point-cloud filtering algorithm for analysis of crop growth dynamics in field-plot experiments.<!-- </div> --><!-- <div> -->PLOS ONE</p>
<p>Dear Dr. Humplik,</p>
<p>Thank you for submitting your manuscript to PLOS ONE. After careful consideration, we feel that it has merit but does not fully meet PLOS ONE’s publication criteria as it currently stands. Therefore, we invite you to submit a revised version of the manuscript that addresses the points raised during the review process.</p>
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<p>2. Improve the abstract by adding some your key results.</p>
<p>3. The most recent studies should be included in the literature review section.</p>
<p>4. The description and the presentation of your results should be improved.</p>
<p>5. I can not see the difference before and after the affine correction, clarify it.</p>
<p>6. to provide comprehensive evaluation and recommendations for further study.</p>
<p>7. Include your study's hypothesis.</p>
<p>8. Avoid let your manuscript like a case report.</p>
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<p>We look forward to receiving your revised manuscript.</p>
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<p>Academic Editor</p>
<p>PLOS ONE</p>
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<p> "The work was supported by the ERDF project "Plants as a tool for sustainable global development" (No. CZ.02.1.01/0.0/0.0/16_019/0000827)." </p>
<p>Please state what role the funders took in the study.  If the funders had no role, please state: ""The funders had no role in study design, data collection and analysis, decision to publish, or preparation of the manuscript."" </p>
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<p>5. We note that you have included the phrase “data not shown” in your manuscript. Unfortunately, this does not meet our data sharing requirements. PLOS does not permit references to inaccessible data. We require that authors provide all relevant data within the paper, Supporting Information files, or in an acceptable, public repository. Please add a citation to support this phrase or upload the data that corresponds with these findings to a stable repository (such as Figshare or Dryad) and provide and URLs, DOIs, or accession numbers that may be used to access these data. Or, if the data are not a core part of the research being presented in your study, we ask that you remove the phrase that refers to these data.</p>
<p>6. Please review your reference list to ensure that it is complete and correct. If you have cited papers that have been retracted, please include the rationale for doing so in the manuscript text, or remove these references and replace them with relevant current references. Any changes to the reference list should be mentioned in the rebuttal letter that accompanies your revised manuscript. If you need to cite a retracted article, indicate the article’s retracted status in the References list and also include a citation and full reference for the retraction notice.</p>
<p>[Note: HTML markup is below. Please do not edit.]</p>
<p>Reviewers' comments:</p>
<p>Reviewer's Responses to Questions</p>
<p><!-- <font color="black"> --><bold>Comments to the Author</bold></p>
<p>1. Is the manuscript technically sound, and do the data support the conclusions?</p>
<p>The manuscript must describe a technically sound piece of scientific research with data that supports the conclusions. Experiments must have been conducted rigorously, with appropriate controls, replication, and sample sizes. The conclusions must be drawn appropriately based on the data presented. <!-- </font> --></p>
<p>Reviewer #1: Yes</p>
<p>Reviewer #2: Yes</p>
<p>Reviewer #3: Yes</p>
<p>**********</p>
<p><!-- <font color="black"> -->2. Has the statistical analysis been performed appropriately and rigorously? <!-- </font> --></p>
<p>Reviewer #1: Yes</p>
<p>Reviewer #2: Yes</p>
<p>Reviewer #3: No</p>
<p>**********</p>
<p><!-- <font color="black"> -->3. Have the authors made all data underlying the findings in their manuscript fully available?</p>
<p>The <ext-link ext-link-type="uri" xlink:href="http://www.plosone.org/static/policies.action#sharing" xlink:type="simple">PLOS Data policy</ext-link> requires authors to make all data underlying the findings described in their manuscript fully available without restriction, with rare exception (please refer to the Data Availability Statement in the manuscript PDF file). The data should be provided as part of the manuscript or its supporting information, or deposited to a public repository. For example, in addition to summary statistics, the data points behind means, medians and variance measures should be available. If there are restrictions on publicly sharing data—e.g. participant privacy or use of data from a third party—those must be specified.<!-- </font> --></p>
<p>Reviewer #1: Yes</p>
<p>Reviewer #2: Yes</p>
<p>Reviewer #3: Yes</p>
<p>**********</p>
<p><!-- <font color="black"> -->4. Is the manuscript presented in an intelligible fashion and written in standard English?</p>
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<p>Reviewer #1: Yes</p>
<p>Reviewer #2: Yes</p>
<p>Reviewer #3: Yes</p>
<p>**********</p>
<p><!-- <font color="black"> -->5. Review Comments to the Author</p>
<p>Please use the space provided to explain your answers to the questions above. You may also include additional comments for the author, including concerns about dual publication, research ethics, or publication ethics. (Please upload your review as an attachment if it exceeds 20,000 characters)<!-- </font> --></p>
<p>Reviewer #1: The paper has been meticulously composed, proficiently elucidating the robustness of the employed algorithm, the requisite dataset, and the strategies for effective plant height optimization.</p>
<p>The authors could highlight the limitations and complexities associated with the implementation of the UAV LiDAR system. Additionally, they should outline their intended measures for enhancing user-friendliness, particularly for farmers with fundamental computer skills.</p>
<p>Reviewer #2: 1. The title should be rewritten.</p>
<p>2. Selection of Region of Interest at line 101 should be corrected.</p>
<p>3. Figure 2 is not clear.</p>
<p>4. I can not see the difference before and after the affine correction, clarify it.</p>
<p>5. In line 206,</p>
<p>Heterogeneity is particularly visible in the heat map (Fig 4) of the sigmoid growth model parameters. Discuss and clarify the heat map.</p>
<p>Reviewer #3: The abstract</p>
<p>The authors should focus on improving your abstract by adding some your key results such as</p>
<p>In the line 24</p>
<p>You can add this sentence: The entire analysis of 144 field plots measured at 7 time points takes about 3 minutes at a standard PC. it should be included.</p>
<p>Also, you should add the key finding of validation part.</p>
<p>Please include the research problem in abstract section.</p>
<p>The introduction</p>
<p>�<!--  --> I appreciate the introduction. It was well-written. However, in the 3 first sentence needs references.</p>
<p>�<!--  --> The introduction is beautifully written. I appreciate it. However, the most recent studies should be included in the literature review section. Please review the most recent publications, such as those published between 2017 and 2022, to identify any research gaps.</p>
<p>2.The materials and methods</p>
<p>�<!--  --> Please, enhance the section of materials and methods. I recommended confirm the references of all methods.</p>
<p>�<!--  --> Please, you should numbering the equations.</p>
<p>3. Results and Discussion</p>
<p>�<!--  --> Please the description of your results and the presentation of your results should be improved.</p>
<p>�<!--  --> Expanding your discussion will help your paper flow better. By analyzing your finding, connecting it to recent research, and describing the main results in your discussion, you can further expand your argument</p>
<p>�<!--  --> Answering why is this manuscript important?</p>
<p>�<!--  --> Greatly improve the mechanistic arguments about dynamical analysis. In general, some mechanistic arguments are not well developed.</p>
<p>4. CONCLUSION</p>
<p>�<!--  --> I advise to provide comprehensive evaluation and recommendations for further study, which are required in the paper's conclusion. if the discussion and the findings are kept separate. It will get better.</p>
<p>�<!--  --> Rethink to improve the quality of each figure and the design of the table.</p>
<p>Other comments:</p>
<p>�<!--  --> Please include your study's hypothesis along with the data statistical analysis.</p>
<p>�<!--  --> The statistical analysis can’t satisfy your study because there is no statistical analysis.</p>
<p>�<!--  --> The study seems only optimizing an algorithm of fast extraction of crop height. It could hardly attract the international readers interests. I recommend avoiding let your manuscript like a case report.</p>
<p>**********</p>
<p><!-- <font color="black"> -->6. PLOS authors have the option to publish the peer review history of their article (<ext-link ext-link-type="uri" xlink:href="https://journals.plos.org/plosone/s/editorial-and-peer-review-process#loc-peer-review-history" xlink:type="simple">what does this mean?</ext-link>). If published, this will include your full peer review and any attached files.</p>
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<p>Reviewer #1: <bold>Yes: </bold>Abdul Aziz Karim</p>
<p>Reviewer #2: <bold>Yes: </bold>Shaimaa Alexeree</p>
<p>Reviewer #3: No</p>
<p>**********</p>
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<p>While revising your submission, please upload your figure files to the Preflight Analysis and Conversion Engine (PACE) digital diagnostic tool, <ext-link ext-link-type="uri" xlink:href="https://pacev2.apexcovantage.com/" xlink:type="simple">https://pacev2.apexcovantage.com/</ext-link>. PACE helps ensure that figures meet PLOS requirements. To use PACE, you must first register as a user. Registration is free. Then, login and navigate to the UPLOAD tab, where you will find detailed instructions on how to use the tool. If you encounter any issues or have any questions when using PACE, please email PLOS at <email xlink:type="simple">figures@plos.org</email>. Please note that Supporting Information files do not need this step.</p>
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<sub-article article-type="author-comment" id="pone.0297153.r002">
<front-stub>
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<article-title>Author response to Decision Letter 0</article-title>
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<named-content content-type="author-response-date">20 Nov 2023</named-content>
</p>
<p>Reviewer and editor comments</p>
<p>Editor</p>
<p>1. The title should be rewritten.</p>
<p>Thank you for your valuable comments. The title has been changed according recommendation.</p>
<p>2. Improve the abstract by adding some your key results.</p>
<p>Thank you. We add key results and software features to the abstract.</p>
<p>3. The most recent studies should be included in the literature review section.</p>
<p>The Introduction section has been enriched for most recent references. However, we have tried to keep the Introduction section as straightforward and understandable as possible. Therefore, we refer those interested in a detailed analysis directly to the high-quality comprehensive review by Rivera et al. 2023.</p>
<p>4. The description and the presentation of your results should be improved.</p>
<p>The results and discussion section has been split into self-contained chapters and substantially rewritten. Also, Figures 1 and 2 have been revised as recommended by the reviewers.</p>
<p>5. I can not see the difference before and after the affine correction, clarify it.</p>
<p>The description of Figure 3 has been changed to clearly explain the process of distortion correction. Whereas in raw image the plots do not have a vertical boundaries, affine correction fix this issue to make rectangular shapes.</p>
<p>7. Include your study's hypothesis.</p>
<p>This paper is methodological/software paper, for this reason we do not propose any hypothesis or biological question. On the other hand, publishing this software and make it freely available, may help to test the hypotheses of many researchers worldwide.</p>
<p>8. Avoid let your manuscript like a case report. </p>
<p>Our study aims mainly to develop and test software for LiDAR data processing that is lacking in biology/agricultural research community as obvious from systematic review of Rivera et al., 2023. For this reason our paper do not describe case study, but design of novel software solution. This may help to the community not only to use the software, but also develop new generation of similar software or adopt it as core of new software solution.</p>
<p>Reviewer #1: </p>
<p>The paper has been meticulously composed, proficiently elucidating the robustness of the employed algorithm, the requisite dataset, and the strategies for effective plant height optimization. The authors could highlight the limitations and complexities associated with the implementation of the UAV LiDAR system. Additionally, they should outline their intended measures for enhancing user-friendliness, particularly for farmers with fundamental computer skills.</p>
<p>Thank you for your valuable comments. We add commentary to the UAV-LiDAR implementation into Introduction section according your comment. Also we note in the Conclusion section that we plan to develop statistical toolbox that may help to the users analyze their data directly in the software. However, there will be still certain level of computer skill needed to use the software. On the other hand the software is mainly intended for Agricultural Research and Breeding stations, where this level of computer skills may be expected. </p>
<p>Reviewer #2: </p>
<p>1. The title should be rewritten.</p>
<p>Thank you for your valuable comments. The title has been changed according recommendation.</p>
<p>2. Selection of Region of Interest at line 101 should be corrected. </p>
<p> Thank you. This part has been rewritten according your recommendation. </p>
<p>3. Figure 2 is not clear.</p>
<p> Thank you, Figure 2 and its description were revised to provide clear message. Hopefully, it satisfied your comment. </p>
<p>4. I can not see the difference before and after the affine correction, clarify it.</p>
<p> The description of Figure 3 has been changed to clearly explain the process of distortion correction. Whereas in raw image the plots do not have a vertical boundaries, affine correction fix this issue to make rectangular shapes.</p>
<p>5. In line 206, heterogeneity is particularly visible in the heat map (Fig 4) of the sigmoid growth model parameters. Discuss and clarify the heat map.</p>
<p> Thank you. This issue is discussed from the line 279 in Discussion part. We revised this part to clarify the heterogeneity in the field.  As stated in Discussion it may be caused by different physical properties in the soil, for which spring barley is very sensitive.</p>
<p>Reviewer #3: </p>
<p>Manuscript Number: PONE-D-23-28678 </p>
<p>Title: ALFA - Airborne LiDAR Field-plot Analysis. Fast automatic point-cloud filtering algorithm for analysis of 3 crop growth dynamics in field-plot experiments</p>
<p>Dear editor</p>
<p>The manuscript is potentially a publishable study, and is related to the journal. </p>
<p>But the discussion is not well prepared. The scientific issues of the paper are not focused, mostly data representation, and the discussion part is not well presented. </p>
<p>Thank you for your valuable comments. The results and discussion section has been split into self-contained chapters and substantially rewritten. Also, Figures 1 and 2 have been revised as recommended by the reviewers. Discussion part was rewritten, new references were added to cover complexity of data analysis mainly from point of view of dynamics of plant growth.</p>
<p>The main objectives of the current study are to extract the information on crop height at many individual cereal field-plots at multiple time points</p>
<p>This subject is crucial for smart agriculture. However, there are some remarks that should be taken into consideration. The discussion must to be supported by earlier researchers and consider any peer review of the findings of previous studies. So, it could hardly attract the international readers interests. </p>
<p>Thank you. Our software is mainly intended for agricultural research where the field-plot system is common. Specialized software for LiDAR data processing that is lacking in biology/agricultural research community as obvious from systematic review of Rivera et al., 2023. Publishing it in open journal may help to the community not only to use the software, but also develop new generation of similar software or adopt it as core of new software solution for different purposes than described in the paper. For these reasons we believe that it may attract readers interest more easily than some really specialized enclosed study.</p>
<p>The abstract </p>
<p>The authors should focus on improving your abstract by adding some your key results such as </p>
<p> Thank you. We add key results and software features to the abstract.</p>
<p>In the line 24</p>
<p>You can add this sentence: The entire analysis of 144 field plots measured at 7 time points takes about 3 minutes at a standard PC. it should be included. </p>
<p> Thank you. It has been included according your recommendation.</p>
<p> Also, you should add the key finding of validation part.</p>
<p> Key findings were noted in the Abstract.</p>
<p>Please include the research problem in abstract section.</p>
<p> Thank you. Main research problem was lacking useful software solution that is noted in the Abstract now.</p>
<p>The introduction</p>
<p>�<!--  --> I appreciate the introduction. It was well-written. However, in the 3 first sentence needs references.</p>
<p>Thank you for your comment. We add references according your recommendation.</p>
<p>�<!--  --> The introduction is beautifully written. I appreciate it. However, the most recent studies should be included in the literature review section. Please review the most recent publications, such as those published between 2017 and 2022, to identify any research gaps.</p>
<p>The Introduction section has been enriched for most recent references. However, we have tried to keep the Introduction section as straightforward and understandable as possible. Therefore, we refer those interested in a detailed analysis directly to the high-quality comprehensive recent review by Rivera et al. 2023.</p>
<p>2.The materials and methods </p>
<p>�<!--  --> Please, enhance the section of materials and methods. I recommended confirm the references of all methods. </p>
<p>The original Implementation section has been rearranged, rewritten and renamed Materials and Methods. New literature references have been added.</p>
<p>�<!--  --> Please, you should numbering the equations. </p>
<p>Equations were numbered according your recommendation.</p>
<p>3. Results and Discussion</p>
<p>�<!--  --> Please the description of your results and the presentation of your results should be improved.</p>
<p>The results and discussion section has been split into self-contained chapters and substantially rewritten. Also, Figures 1 and 2 have been revised as recommended by the reviewers.</p>
<p>�<!--  --> Expanding your discussion will help your paper flow better. By analyzing your finding, connecting it to recent research, and describing the main results in your discussion, you can further expand your argument</p>
<p>Discussion section has been substantially rewritten, new references were added and most important topics are newly discussed. </p>
<p>�<!--  -->  Answering why is this manuscript important?</p>
<p>Specialized software for LiDAR data processing is lacking in biology/agricultural research community as obvious from systematic review of Rivera et al., 2023. Publishing it in open journal may help to the community not only to use the software, but also develop new generation of similar software or adopt it as core of new software solution for different purposes than described in the paper. For these reasons we believe that publishing manuscript with our software may importantly affect the research in this field.</p>
<p>�<!--  --> Greatly improve the mechanistic arguments about dynamical analysis. In general, some mechanistic arguments are not well developed.</p>
<p>The Discussion part has been importantly rewritten and topic about modeling of plant growth dynamics was added. We believe that this help to the readers to understand better this important problematics.</p>
<p>    4.  CONCLUSION </p>
<p>�<!--  --> I advise to provide comprehensive evaluation and recommendations for further study, which are required in the paper's conclusion. if the discussion and the findings are kept separate. It will get better.</p>
<p>Thank you for your comment. As we noted in the conclusion, the most important future activity connected to the ALFA software will be development of statistical toolbox that will help to users to analyze data directly in the software. For this we need to provide software to the wide community and based on their feedback and experiences toolbox will developed and optimized. The results and discussion section has been split into self-contained chapters and substantially rewritten.</p>
<p>�<!--  --> Rethink to improve the quality of each figure and the design of the table.</p>
<p>Thank you. The figures 1 and 2 were modified and quality of figures was improved. In this paper we do not present any table. Hopefully it will satisfy your comments.</p>
<p>Other comments: </p>
<p>�<!--  --> Please include your study's hypothesis along with the data statistical analysis. </p>
<p>Thank you for your comments. This paper is methodological/software paper, for this reason we do not propose any hypothesis or biological question. On the other hand, publishing this software and make it freely available, may help to test the hypotheses of many researchers worldwide.</p>
<p>�<!--  --> The statistical analysis can’t satisfy your study because there is no statistical analysis.</p>
<p>Thank you for your comment. We do not provide any statistical analysis, because we do not test any hypothesis in this methodological/software article. However, anybody who need to accurate compare the growth of cereal or similar field-plots will benefit from the manuscript, because she/he can test their hypothesis based on relevant and accurate data from LiDAR scanning. The statistical analysis of logistic curves is really interesting problem that do not posses straightforward solution as described e.g. in Tsoularis and Wallace (2002). As we noted in the conclusion, the most important future activity connected to the ALFA software will be development of statistical toolbox that will help to users to analyze data directly in the software. This toolbox will be based on Bayesian statistics as we did previously for seedling germination (Kaplan-Meier) curves (Humplík et al., 2020; <ext-link ext-link-type="uri" xlink:href="http://www.bayes4plants.com/" xlink:type="simple">http://www.bayes4plants.com/</ext-link>). </p>
<p>�<!--  --> The study seems only optimizing an algorithm of fast extraction of crop height. It could hardly attract the international readers interests. I recommend avoiding let your manuscript like a case report.</p>
<p>Thank you. Our software is mainly intended for agricultural research where the field-plot system is common. Specialized software for LiDAR data processing that is lacking in biology/agricultural research community as obvious from systematic review of Rivera et al., 2023. Publishing it in open journal may help to the community not only to use the software, but also develop new generation of similar software or adopt it as core of new software solution for different purposes than described in the paper. For these reasons we believe that it may attract readers interest more easily than some really specialized enclosed study.</p>
<p>Tsoularis, A., &amp; Wallace, J. (2002). Analysis of logistic growth models. Mathematical biosciences, 179(1), 21-55.</p>
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<name name-style="western">
<surname>Silva</surname>
<given-names>Claudionor Ribeiro da</given-names>
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<license-p>This is an open access article distributed under the terms of the <ext-link ext-link-type="uri" xlink:href="http://creativecommons.org/licenses/by/4.0/" xlink:type="simple">Creative Commons Attribution License</ext-link>, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.</license-p>
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<p>
<named-content content-type="letter-date">29 Dec 2023</named-content>
</p>
<p>Crop growth dynamics: Fast automatic analysis of LiDAR images in field-plot experiments by specialized software ALFA.</p>
<p>PONE-D-23-28678R1</p>
<p>Dear Dr. Humplik,</p>
<p>We’re pleased to inform you that your manuscript has been judged scientifically suitable for publication and will be formally accepted for publication once it meets all outstanding technical requirements.</p>
<p>Within one week, you’ll receive an e-mail detailing the required amendments. When these have been addressed, you’ll receive a formal acceptance letter and your manuscript will be scheduled for publication.</p>
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<p>Kind regards,</p>
<p>Claudionor Ribeiro da Silva</p>
<p>Academic Editor</p>
<p>PLOS ONE</p>
<p>Additional Editor Comments (optional):</p>
<p>Reviewers' comments:</p>
<p>Reviewer's Responses to Questions</p>
<p><!-- <font color="black"> --><bold>Comments to the Author</bold></p>
<p>1. If the authors have adequately addressed your comments raised in a previous round of review and you feel that this manuscript is now acceptable for publication, you may indicate that here to bypass the “Comments to the Author” section, enter your conflict of interest statement in the “Confidential to Editor” section, and submit your "Accept" recommendation.<!-- </font> --></p>
<p>Reviewer #1: All comments have been addressed</p>
<p>Reviewer #2: All comments have been addressed</p>
<p>**********</p>
<p><!-- <font color="black"> -->2. Is the manuscript technically sound, and do the data support the conclusions?</p>
<p>The manuscript must describe a technically sound piece of scientific research with data that supports the conclusions. Experiments must have been conducted rigorously, with appropriate controls, replication, and sample sizes. The conclusions must be drawn appropriately based on the data presented. <!-- </font> --></p>
<p>Reviewer #1: Yes</p>
<p>Reviewer #2: Yes</p>
<p>**********</p>
<p><!-- <font color="black"> -->3. Has the statistical analysis been performed appropriately and rigorously? <!-- </font> --></p>
<p>Reviewer #1: Yes</p>
<p>Reviewer #2: Yes</p>
<p>**********</p>
<p><!-- <font color="black"> -->4. Have the authors made all data underlying the findings in their manuscript fully available?</p>
<p>The <ext-link ext-link-type="uri" xlink:href="http://www.plosone.org/static/policies.action#sharing" xlink:type="simple">PLOS Data policy</ext-link> requires authors to make all data underlying the findings described in their manuscript fully available without restriction, with rare exception (please refer to the Data Availability Statement in the manuscript PDF file). The data should be provided as part of the manuscript or its supporting information, or deposited to a public repository. For example, in addition to summary statistics, the data points behind means, medians and variance measures should be available. If there are restrictions on publicly sharing data—e.g. participant privacy or use of data from a third party—those must be specified.<!-- </font> --></p>
<p>Reviewer #1: Yes</p>
<p>Reviewer #2: Yes</p>
<p>**********</p>
<p><!-- <font color="black"> -->5. Is the manuscript presented in an intelligible fashion and written in standard English?</p>
<p>PLOS ONE does not copyedit accepted manuscripts, so the language in submitted articles must be clear, correct, and unambiguous. Any typographical or grammatical errors should be corrected at revision, so please note any specific errors here.<!-- </font> --></p>
<p>Reviewer #1: Yes</p>
<p>Reviewer #2: Yes</p>
<p>**********</p>
<p><!-- <font color="black"> -->6. Review Comments to the Author</p>
<p>Please use the space provided to explain your answers to the questions above. You may also include additional comments for the author, including concerns about dual publication, research ethics, or publication ethics. (Please upload your review as an attachment if it exceeds 20,000 characters)<!-- </font> --></p>
<p>Reviewer #1: (No Response)</p>
<p>Reviewer #2: (No Response)</p>
<p>**********</p>
<p><!-- <font color="black"> -->7. PLOS authors have the option to publish the peer review history of their article (<ext-link ext-link-type="uri" xlink:href="https://journals.plos.org/plosone/s/editorial-and-peer-review-process#loc-peer-review-history" xlink:type="simple">what does this mean?</ext-link>). If published, this will include your full peer review and any attached files.</p>
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<p>Reviewer #1: No</p>
<p>Reviewer #2: <bold>Yes: </bold>Shaimaa Alexeree</p>
<p>**********</p>
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<p>
<named-content content-type="letter-date">9 Jan 2024</named-content>
</p>
<p>PONE-D-23-28678R1 </p>
<p>PLOS ONE</p>
<p>Dear Dr.  Humplik, </p>
<p>I'm pleased to inform you that your manuscript has been deemed suitable for publication in PLOS ONE. Congratulations! Your manuscript is now being handed over to our production team.</p>
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<p>on behalf of</p>
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<p>Academic Editor</p>
<p>PLOS ONE</p>
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