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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Plant Sci.</journal-id>
<journal-title>Frontiers in Plant Science</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Plant Sci.</abbrev-journal-title>
<issn pub-type="epub">1664-462X</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.3389/fpls.2023.1096802</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Plant Science</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Evaluation of convolutional neural networks for herbicide susceptibility-based weed detection in turf</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Jin</surname>
<given-names>Xiaojun</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2090600"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Liu</surname>
<given-names>Teng</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2099485"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>McCullough</surname>
<given-names>Patrick E.</given-names>
</name>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Chen</surname>
<given-names>Yong</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="author-notes" rid="fn001">
<sup>*</sup>
</xref>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Yu</surname>
<given-names>Jialin</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="author-notes" rid="fn001">
<sup>*</sup>
</xref>
</contrib>
</contrib-group>
<aff id="aff1">
<sup>1</sup>
<institution>College of Mechanical and Electronic Engineering, Nanjing Forestry University, Nanjing</institution>, <addr-line>Jiangsu</addr-line>, <country>China</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>Peking University Institute of Advanced Agricultural Sciences / Shandong Laboratory of Advanced Agricultural Sciences at Weifang</institution>, <addr-line>Weifang, Shandong</addr-line>, <country>China</country>
</aff>
<aff id="aff3">
<sup>3</sup>
<institution>Department of Crop and Soil Sciences, University of Georgia</institution>, <addr-line>Griffin, GA</addr-line>, <country>United States</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>Edited by: Mehedi Masud, Taif University, Saudi Arabia</p>
</fn>
<fn fn-type="edited-by">
<p>Reviewed by: Wenzheng Bao, Xuzhou University of Technology, China; Yanbo Huang, United States Department of Agriculture (USDA), United States</p>
</fn>
<fn fn-type="corresp" id="fn001">
<p>*Correspondence: Yong Chen, <email xlink:href="mailto:chenyongjsnj@163.com">chenyongjsnj@163.com</email>; Jialin Yu, <email xlink:href="mailto:jialin.yu@pku-iaas.edu.cn">jialin.yu@pku-iaas.edu.cn</email>
</p>
</fn>
<fn fn-type="other" id="fn002">
<p>This article was submitted to Technical Advances in Plant Science, a section of the journal Frontiers in Plant Science</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>01</day>
<month>02</month>
<year>2023</year>
</pub-date>
<pub-date pub-type="collection">
<year>2023</year>
</pub-date>
<volume>14</volume>
<elocation-id>1096802</elocation-id>
<history>
<date date-type="received">
<day>12</day>
<month>11</month>
<year>2022</year>
</date>
<date date-type="accepted">
<day>23</day>
<month>01</month>
<year>2023</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2023 Jin, Liu, McCullough, Chen and Yu</copyright-statement>
<copyright-year>2023</copyright-year>
<copyright-holder>Jin, Liu, McCullough, Chen and Yu</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/">
<p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</p>
</license>
</permissions>
<abstract>
<p>Deep learning methods for weed detection typically focus on distinguishing weed species, but a variety of weed species with comparable plant morphological characteristics may be found in turfgrass. Thus, it is difficult for deep learning models to detect and distinguish every weed species with high accuracy. Training convolutional neural networks for detecting weeds susceptible to herbicides can offer a new strategy for implementing site-specific weed detection in turf. DenseNet, EfficientNet-v2, and ResNet showed high F<sub>1</sub> scores (&#x2265;0.986) and MCC values (&#x2265;0.984) to detect and distinguish the sub-images containing dollarweed, goosegrass, old world diamond-flower, purple nutsedge, or Virginia buttonweed growing in bermudagrass turf. However, they failed to reliably detect crabgrass and tropical signalgrass due to the similarity in plant morphology. When training the convolutional neural networks for detecting and distinguishing the sub-images containing weeds susceptible to ACCase-inhibitors, weeds susceptible to ALS-inhibitors, or weeds susceptible to synthetic auxin herbicides, all neural networks evaluated in this study achieved excellent F<sub>1</sub> scores (&#x2265;0.995) and MCC values (&#x2265;0.994) in the validation and testing datasets. ResNet demonstrated the fastest inference rate and outperformed the other convolutional neural networks on detection efficiency, while the slow inference of EfficientNet-v2 may limit its potential applications. Grouping different weed species growing in turf according to their susceptibility to herbicides and detecting and distinguishing weeds by herbicide categories enables the implementation of herbicide susceptibility-based precision herbicide application. We conclude that the proposed method is an effective strategy for site-specific weed detection in turf, which can be employed in a smart sprayer to achieve precision herbicide spraying.</p>
</abstract>
<kwd-group>
<kwd>deep learning</kwd>
<kwd>convolutional neural networks</kwd>
<kwd>weed detection</kwd>
<kwd>herbicide susceptibility</kwd>
<kwd>precision herbicide application</kwd>
</kwd-group>
<contract-sponsor id="cn001">National Natural Science Foundation of China<named-content content-type="fundref-id">10.13039/501100001809</named-content>
</contract-sponsor>
<counts>
<fig-count count="5"/>
<table-count count="5"/>
<equation-count count="4"/>
<ref-count count="69"/>
<page-count count="11"/>
<word-count count="5194"/>
</counts>
</article-meta>
</front>
<body>
<sec id="s1" sec-type="intro">
<title>Introduction</title>
<p>Turfgrass is widely grown in urban landscapes, including institutional and residential lawns, parks, or athletic fields (<xref ref-type="bibr" rid="B46">Potter and Braman, 1991</xref>). The total turfgrass area in the United States is 163,812 km<sup>2</sup>, which accounts for approximately 1.9% of the whole terrestrial land of the country (<xref ref-type="bibr" rid="B39">Milesi et&#xa0;al., 2005</xref>). Weed control is a challenging task for turfgrass management. Weeds compete with the turfgrass for sunlight, moisture, and soil nutrients, reducing turf aesthetics, surface quality, and functionality (<xref ref-type="bibr" rid="B16">Hamuda et&#xa0;al., 2016</xref>; <xref ref-type="bibr" rid="B31">Liu and Bruch, 2020</xref>). Weed management in turfgrass landscapes has relied heavily on broadcast herbicide application (<xref ref-type="bibr" rid="B36">McElroy and Martins, 2013</xref>), although weeds almost always present in non-uniform and patchy distributions (<xref ref-type="bibr" rid="B11">Dai et&#xa0;al., 2019</xref>; <xref ref-type="bibr" rid="B63">Yu et&#xa0;al., 2019a</xref>). Excessive application of synthetic herbicides could potentially pose a risk to human health and cause environmental pollution (<xref ref-type="bibr" rid="B51">Slaughter et&#xa0;al., 2008</xref>; <xref ref-type="bibr" rid="B11">Dai et&#xa0;al., 2019</xref>; <xref ref-type="bibr" rid="B65">Yu et&#xa0;al., 2019b</xref>; <xref ref-type="bibr" rid="B38">Mennan et&#xa0;al., 2020</xref>). Moreover, the application of synthetic herbicides represents a significant variable cost in turf weed management (<xref ref-type="bibr" rid="B12">Davis and Frisvold, 2017</xref>). These concerns have led to legal regulations regarding herbicide usage in several countries. For example, the European Union encourages spot-spraying to reduce the herbicide input (<xref ref-type="bibr" rid="B6">Busey, 2003</xref>; <xref ref-type="bibr" rid="B33">Marchand and Robin, 2019</xref>). Additionally, spot-spraying could effectively minimize the amount reaching off-target areas (<xref ref-type="bibr" rid="B37">Melland et&#xa0;al., 2016</xref>). In the United States, Environmental Protection Agency has proposed a series of measures, including prohibiting aerial applications for all atrazine labels to reduce their chance of runoff from the managed fields (<xref ref-type="bibr" rid="B45">Pimentel and Burgess, 2012</xref>; <xref ref-type="bibr" rid="B35">McCullough et&#xa0;al., 2015</xref>).</p>
<p>Site-specific weed management is a promising solution for sustainable weed control (<xref ref-type="bibr" rid="B7">Chen et&#xa0;al., 2022</xref>). Precision spraying a particular type or volume of herbicide onto susceptible weed species can significantly reduce herbicide input and weed control costs (<xref ref-type="bibr" rid="B30">Liakos et&#xa0;al., 2018</xref>). Site-specific weed management relies on the accurate identification and localization of weeds (<xref ref-type="bibr" rid="B13">Fennimore et&#xa0;al., 2016</xref>; <xref ref-type="bibr" rid="B58">Wang et&#xa0;al., 2019</xref>). Previous researchers explored various visual characteristics, such as color (<xref ref-type="bibr" rid="B54">Tang et&#xa0;al., 2016</xref>), morphological (<xref ref-type="bibr" rid="B44">Perez et&#xa0;al., 2000</xref>), hyper- or multi-spectral (<xref ref-type="bibr" rid="B42">Pantazi et&#xa0;al., 2016</xref>; <xref ref-type="bibr" rid="B22">Jiang et&#xa0;al., 2020</xref>), and textural features (<xref ref-type="bibr" rid="B3">Bakhshipour et&#xa0;al., 2017</xref>), for weed detection. However, crops and weeds may exhibit similar visual characteristics, thus detection and classification of weeds in crops are inherently challenging (<xref ref-type="bibr" rid="B17">Hasan et&#xa0;al., 2021</xref>). In turf, weed detection is challenging due to the presence of a variety of weed species growing with turfgrass.</p>
<p>In recent years, deep learning, a subfield of artificial intelligence, has demonstrated remarkable capability in speech recognition (<xref ref-type="bibr" rid="B20">Hinton et&#xa0;al., 2012</xref>; <xref ref-type="bibr" rid="B29">LeCun et&#xa0;al., 2015</xref>), natural language processing (<xref ref-type="bibr" rid="B9">Collobert and Weston, 2008</xref>; <xref ref-type="bibr" rid="B10">Collobert et&#xa0;al., 2011</xref>), and computer vision (<xref ref-type="bibr" rid="B15">Gu et&#xa0;al., 2018</xref>; <xref ref-type="bibr" rid="B50">Shi et&#xa0;al., 2020</xref>; <xref ref-type="bibr" rid="B68">Zhou et&#xa0;al., 2020</xref>). Deep learning technologies exhibit a tremendous ability to learn representations from raw data and extract complex features from images with a high accuracy level (<xref ref-type="bibr" rid="B26">Jordan and Mitchell, 2015</xref>; <xref ref-type="bibr" rid="B18">He et&#xa0;al., 2020</xref>; <xref ref-type="bibr" rid="B60">Yang et&#xa0;al., 2022a</xref>). Moreover, the improvements in graphics processing units (GPUs) have facilitated the use of deep convolutional neural networks (<xref ref-type="bibr" rid="B5">Bao et&#xa0;al., 2017</xref>; <xref ref-type="bibr" rid="B4">Bao et&#xa0;al., 2021</xref>; <xref ref-type="bibr" rid="B41">Ngo et&#xa0;al., 2021</xref>). Recent studies have investigated the feasibility of using deep learning in various agricultural domains, including plant disease detection (<xref ref-type="bibr" rid="B34">Martinelli et&#xa0;al., 2015</xref>; <xref ref-type="bibr" rid="B49">Saleem et&#xa0;al., 2019</xref>), crop yield prediction (<xref ref-type="bibr" rid="B28">Khaki and Wang, 2019</xref>; <xref ref-type="bibr" rid="B57">Van Klompenburg et&#xa0;al., 2020</xref>), plant phenotyping (<xref ref-type="bibr" rid="B2">Atefi et&#xa0;al., 2021</xref>; <xref ref-type="bibr" rid="B67">Zhang et&#xa0;al., 2022</xref>), and weed detection (<xref ref-type="bibr" rid="B24">Jin et&#xa0;al., 2021</xref>; <xref ref-type="bibr" rid="B43">Peng et&#xa0;al., 2022</xref>; <xref ref-type="bibr" rid="B47">Razfar et&#xa0;al., 2022</xref>). For example, Abbas et&#xa0;al. proposed a deep learning-based method for tomato disease detection. The trained neural network achieved a best 5-class classification accuracy of 99.51 (<xref ref-type="bibr" rid="B1">Abbas et&#xa0;al., 2021</xref>). Subeesh et&#xa0;al. compared four convolutional neural networks, including AlexNet, GoogLeNet, InceptionV3, and Xception for detecting various weeds growing in bell peppers (<italic>Capsicum annum</italic> L.) and found InceptionV3 achieved the highest accuracy (97.7%) (<xref ref-type="bibr" rid="B53">Subeesh et&#xa0;al., 2022</xref>). For image-based weed detection and discrimination, previous findings suggest that deep learning methods generally outperform other methods (<xref ref-type="bibr" rid="B13">Fennimore et&#xa0;al., 2016</xref>; <xref ref-type="bibr" rid="B27">Kamilaris and Prenafeta-Bold&#xfa;, 2018</xref>).</p>
<p>Several studies have investigated the use of image classification or object detection neural networks for detecting and distinguishing various weed species in turfgrass (<xref ref-type="bibr" rid="B63">Yu et&#xa0;al., 2019a</xref>; <xref ref-type="bibr" rid="B65">Yu et&#xa0;al., 2019b</xref>; <xref ref-type="bibr" rid="B66">Yu et&#xa0;al., 2019c</xref>; <xref ref-type="bibr" rid="B64">Yu et&#xa0;al., 2020</xref>). Jin et&#xa0;al. demonstrated that VGGNet effectively detected and distinguished dallisgrass (<italic>Paspalum dilataum</italic> Poir.), purple nutsedge (<italic>Cyperus rotundus</italic> L.), and white clover (<italic>Trifolium repens</italic> L.) growing in bermudagrass [<italic>Cynodon dactylon</italic> (L.) Pers.] turf, while RegNet is well-performed in discriminating common dandelion (<italic>Taraxacum officinale</italic> Web.) (<xref ref-type="bibr" rid="B23">Jin et&#xa0;al., 2022</xref>). In another study, Yu et&#xa0;al. developed effective deep convolutional neural networks to detect weeds in turf. The authors reported that the image classification neural network VGGNet reliably classified broadleaf and grassy weeds growing in bermudagrass turf. In addition, the object detection neural network DetectNet achieved high overall accuracy at detecting cutleaf evening-primrose (<italic>Oenothera laciniata</italic> Hill) growing in bahiagrass (<italic>Paspalum notatum</italic> Flugge) (<xref ref-type="bibr" rid="B65">Yu et&#xa0;al., 2019b</xref>; <xref ref-type="bibr" rid="B66">Yu et&#xa0;al., 2019c</xref>).</p>
<p>Different weed species exhibit varying susceptibility to a particular herbicide category (<xref ref-type="bibr" rid="B36">McElroy and Martins, 2013</xref>; <xref ref-type="bibr" rid="B62">Yu et&#xa0;al., 2018</xref>). For example, acetolactate synthase (ALS)-inhibiting herbicides generally provide a narrow weed control spectrum (<xref ref-type="bibr" rid="B61">Yu and Boyd, 2018</xref>); ACCase-inhibiting herbicides are only effective for controlling grassy weeds (<xref ref-type="bibr" rid="B36">McElroy and Martins, 2013</xref>); nonselective herbicides, such as glyphosate and glufosinate, could nonselectively control all weeds (<xref ref-type="bibr" rid="B25">Johnson, 1977</xref>); and synthetic auxin herbicides, such as 2,4-D, dicamba, and MCPA, are only effective for controlling broadleaf weeds (<xref ref-type="bibr" rid="B36">McElroy and Martins, 2013</xref>). Therefore, precision spraying herbicides based on the susceptibility of different weed species to the herbicides can significantly reduce herbicide input and improve herbicide use efficiency. Although deep learning has been well-performed in weed detection and discrimination, previous studies have generally focused on distinguishing different weed species and did not establish a direct connection between weeds and herbicides. Moreover, a variety of weed species with comparable plant morphological characteristics may be found in turfgrass, thus it is difficult for the deep learning models to detect and distinguish every weed species with high accuracy. In the present research work, in addition to the detection and discrimination of individual weed species, different weed species growing in bermudagrass turf were grouped according to their susceptibility to herbicides, and weeds were detected and distinguished by herbicide categories. The proposed method would allow precision herbicide application based on susceptibility and thereby effectively reduce herbicide input while achieving the same level of weed control as the broadcast herbicide application. The objectives of this paper were to (1) investigate the feasibility of utilizing deep learning for herbicide susceptibility-based weed detection in bermudagrass turf, and 2) evaluate and compare the performance of different convolutional neural networks for distinguishing individual weed species.</p>
</sec>
<sec id="s2" sec-type="materials|methods">
<title>Materials and methods</title>
<sec id="s2_1">
<title>Overview</title>
<p>The image classification convolutional neural networks, including DenseNet (<xref ref-type="bibr" rid="B21">Huang et&#xa0;al., 2017</xref>), EfficientNet (<xref ref-type="bibr" rid="B55">Tan and Le, 2019</xref>), and ResNet(<xref ref-type="bibr" rid="B19">He et&#xa0;al., 2016</xref>), were selected for evaluating the feasibility of using the convolutional neural networks for detecting and distinguishing individual weed species growing in bermudagrass turf or detecting and distinguishing weeds susceptible to herbicides. DenseNet is a convolutional neural network that computes dense and multi-scale features from the convolutional layers. For each layer, it obtains additional inputs from all preceding layers and passes on its feature maps to all subsequent layers. EfficientNet uses a set of fixed scaling coefficients to uniformly scales all dimensions of depth, width, and resolution in a principled way. The EfficientNet achieves state-of-the-art accuracy with 10&#xd7; better efficiency by utilizing this novel scaling method. ResNet introduced the concept of residual learning. It employs an identity-based skip connection in each residual unit. ResNet eases the flow of information across units and thus can gain accuracy from very deep networks. In this study, these three convolutional neural networks were trained and evaluated with the ultimate goal of site-specific herbicide application.</p>
</sec>
<sec id="s2_2">
<title>Image acquisition</title>
<p>The training images of crabgrass (<italic>D.igitaria ischaemum</italic> L.), dollarweed (<italic>Hydrocotyle</italic> spp.), old world diamond-flower (<italic>Hedyotis cormybosa</italic> L.), and tropical signalgrass [<italic>Urochloa distachya</italic> (L.) T.Q. Nguyen] were acquired at several golf courses in Bradenton (27.49&#xb0;N, 82.47&#xb0;W), Riverview (27.86&#xb0;N, 82.32&#xb0;W), Sun City (27.71&#xb0;N, 82.35&#xb0;W), and Tampa (27.95&#xb0;N, 82.45&#xb0;W), Florida, while the testing images were acquired at several golf courses and institutional lawns in Lakeland, Florida (28.03&#xb0;N, 81.94&#xb0;W). The training images of goosegrass (<italic>Eleusine indica</italic> L.) and Virginia buttonweed (<italic>Diodia virginiana</italic> L.) growing in bermudagrass turf were acquired at the University of Georgia Griffin Campus in Griffin, Georgia, United States (33.26&#xb0;N, 84.28&#xb0;W), while the testing images were acquired at several golf courses in Peachtree City, Georgia, United States (33.39&#xb0;N, 84.59&#xb0;W). The training images of purple nutsedge were acquired at sod farms in Jiangning District, Nanjing, Jiangsu, China (31.95&#xb0;N, 118.85&#xb0;E), while the testing images were acquired at sod farms in Shuyang, Jiangsu, China (34.12&#xb0;N, 118.79&#xb0;E). The training and testing images of crabgrass, dollarweed, goosegrass, old world diamond-flower, tropical signalgrass, and Virginia buttonweed were captured multiple times from April to November 2018 using a digital camera (DSC-HX1, SONY<sup>&#xae;</sup>, Cyber-Shot Digital Still Camera, SONY Corporation, Minato, Tokyo, Japan). The training and testing images of purple nutsedge were captured in spring 2021 using a digital camera (Panasonic<sup>&#xae;</sup> DMC-ZS110, Xiamen, Fujian, China). The original resolution of the training and testing images was 1,920 &#xd7; 1,080 pixels. To enrich the diversity of the training dataset, images were captured under various illumination conditions, including partly cloudy, cloudy, or sunny days.</p>
</sec>
<sec id="s2_3">
<title>Training and testing</title>
<p>Images containing crabgrass, dollarweed, goosegrass, old world diamond-flower, purple nutsedge, tropical signalgrass, and Virginia buttonweed growing in bermudagrass turf were selected to constitute the training or testing datasets. Images containing a single weed species were selected for training and testing neural networks. All images were cropped into 40 equal-sized sub-images by a 5 rows &#xd7; 8 columns division. Each sub-image was 240 &#xd7; 216 pixels. Sub-images of crabgrass, goosegrass, and tropical signalgrass (<xref ref-type="fig" rid="f1">
<bold>Figure&#xa0;1</bold>
</xref>), purple nutsedge (<xref ref-type="fig" rid="f2">
<bold>Figure&#xa0;2</bold>
</xref>), dollarweed, old world diamond-flower, and Virginia buttonweed (<xref ref-type="fig" rid="f3">
<bold>Figure&#xa0;3</bold>
</xref>) at different growth stages and densities, and sub-images of bermudagrass at varying mowing heights and surface conditions (<xref ref-type="fig" rid="f4">
<bold>Figure&#xa0;4</bold>
</xref>) were utilized for training and testing the neural networks. <xref ref-type="fig" rid="f5">
<bold>Figure&#xa0;5</bold>
</xref> outlines the sequence diagram of image processing and training and testing the convolutional neural networks for detecting and discriminating individual weed species or weeds susceptible to ACCase-inhibitor, ALS-inhibitor, synthetic auxin herbicides, or bermudagrass without weed infestation (no herbicide).</p>
<fig id="f1" position="float">
<label>Figure&#xa0;1</label>
<caption>
<p>The training and testing sub-images of crabgrass <bold>(A)</bold>, goosegrass <bold>(B)</bold>, and tropical signalgrass <bold>(C)</bold> at different growth stages and densities.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fpls-14-1096802-g001.tif"/>
</fig>
<fig id="f2" position="float">
<label>Figure&#xa0;2</label>
<caption>
<p>The training and testing sub-images of dollarweed <bold>(A)</bold>, old world diamond-flower <bold>(B)</bold>, and Virginia buttonweed <bold>(C)</bold> at different growth stages and densities.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fpls-14-1096802-g002.tif"/>
</fig>
<fig id="f3" position="float">
<label>Figure&#xa0;3</label>
<caption>
<p>The training and testing sub-images of purple nutsedge at different growth stages and densities.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fpls-14-1096802-g003.tif"/>
</fig>
<fig id="f4" position="float">
<label>Figure&#xa0;4</label>
<caption>
<p>The training and testing sub-images of bermudagrass at different turfgrass management regimes, mowing heights, and surface conditions.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fpls-14-1096802-g004.tif"/>
</fig>
<fig id="f5" position="float">
<label>Figure&#xa0;5</label>
<caption>
<p>Flow diagram illustrates the sequence of image processing and training and testing the convolutional neural networks.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fpls-14-1096802-g005.tif"/>
</fig>
<p>The convolutional neural networks for detecting and distinguishing weed species were trained utilizing a total of 21,000 true positive sub-images (3,000 sub-images for each weed species) containing crabgrass, dollarweed, goosegrass, old world diamond-flower, purple nutsedge, tropical signalgrass, or Virginia buttonweed growing in bermudagrass turf, while a total of 9,000 sub-images containing only bermudagrass were utilized as the true negative images. To establish the validation or testing dataset, a total of 3,500 sub-images (500 images for each weed species) containing crabgrass, dollarweed, goosegrass, old world diamond-flower, purple nutsedge, tropical signalgrass, or Virginia buttonweed growing in bermudagrass were utilized as the true positive images, while a total of 1,500 sub-images containing only bermudagrass were utilized as the true negative images.</p>
<p>The convolutional neural networks for detecting and distinguishing weeds susceptible to various herbicides were trained using a dataset containing four categories of sub-images: weed species susceptible to ACCase-inhibitors, weed species susceptible to ALS-inhibitors, weed species susceptible to synthetic auxin herbicides, and bermudagrass without weed infestation. To establish the training, validation, or testing dataset, the sub-images containing crabgrass, goosegrass, or tropical signalgrass, the sub-images containing purple nutsedge, the sub-images containing dollarweed, old world diamond-flower, or Virginia buttonweed, and the sub-images containing bermudagrass only were grouped and labeled as ACCase-inhibiting herbicides, ALS-inhibiting herbicides, synthetic auxin herbicides and no herbicide, respectively (<xref ref-type="table" rid="T1">
<bold>Table&#xa0;1</bold>
</xref>).</p>
<table-wrap id="T1" position="float">
<label>Table&#xa0;1</label>
<caption>
<p>The number of sub-images used to establish the training, validation, and testing datasets of the convolutional neural networks.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="top" rowspan="2" align="center">Dataset</th>
<th valign="top" colspan="3" align="center">ACCase-inhibiting herbicides</th>
<th valign="top" align="center">ALS-inhibiting herbicides</th>
<th valign="top" align="center">No herbicide</th>
<th valign="top" colspan="3" align="center">Synthetic auxin herbicides</th>
</tr>
<tr>
<th valign="top" align="center">Crabgrass</th>
<th valign="top" align="center">Goosegrass</th>
<th valign="top" align="center">Tropical signalgrass</th>
<th valign="top" align="center">Purple nutsedge</th>
<th valign="top" align="center">Bermudagrass</th>
<th valign="top" align="center">Dollarweed</th>
<th valign="top" align="center">Old world diamond-flower</th>
<th valign="top" align="center">Virginia buttonweed</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="center">Training</td>
<td valign="top" align="center">3000</td>
<td valign="top" align="center">3000</td>
<td valign="top" align="center">3000</td>
<td valign="top" align="center">3000</td>
<td valign="top" align="center">9000</td>
<td valign="top" align="center">3000</td>
<td valign="top" align="center">3000</td>
<td valign="top" align="center">3000</td>
</tr>
<tr>
<td valign="top" align="center">Validation</td>
<td valign="top" align="center">500</td>
<td valign="top" align="center">500</td>
<td valign="top" align="center">500</td>
<td valign="top" align="center">500</td>
<td valign="top" align="center">1500</td>
<td valign="top" align="center">500</td>
<td valign="top" align="center">500</td>
<td valign="top" align="center">500</td>
</tr>
<tr>
<td valign="top" align="center">Testing</td>
<td valign="top" align="center">500</td>
<td valign="top" align="center">500</td>
<td valign="top" align="center">500</td>
<td valign="top" align="center">500</td>
<td valign="top" align="center">1500</td>
<td valign="top" align="center">500</td>
<td valign="top" align="center">500</td>
<td valign="top" align="center">500</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>The convolutional neural networks were trained to detect and discriminate weed species and the sub-images containing weeds susceptible to ACCase-inhibiting herbicides, ALS-inhibiting herbicides, synthetic auxin herbicides, or bermudagrass without weed infestation (no herbicide).</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>The training and testing of the convolutional neural networks were performed in PyTorch (version 1.8.1) deep learning environment (Facebook, San Jose, California, United States) with an NVIDIA GeForce RTX 2080 Ti graphic processing unit (GPU). Transfer learning seeks to use previously acquired knowledge while addressing one problem and applying it to a different but similar problem (<xref ref-type="bibr" rid="B32">Lu et&#xa0;al., 2015</xref>). The convolutional neural networks were pre-trained with the ImageNet dataset to initialize the weights and bias through the transfer learning technology. To ensure fair comparisons among the evaluated deep learning models, default values of hyper-parameters for each neural network were adopted and used (<xref ref-type="table" rid="T2">
<bold>Table&#xa0;2</bold>
</xref>).</p>
<table-wrap id="T2" position="float">
<label>Table&#xa0;2</label>
<caption>
<p>Hyperparameters used for training the convolutional neural networks.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" align="left">Deep learning architecture</th>
<th valign="middle" align="center">Optimizer</th>
<th valign="middle" align="center">Base learning rate</th>
<th valign="middle" align="center">Learning rate policy</th>
<th valign="middle" align="center">Batch size</th>
<th valign="middle" align="center">Training epochs</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="middle" align="left">DenseNet</td>
<td valign="middle" align="center">SGD</td>
<td valign="middle" align="center">0.001</td>
<td valign="middle" align="center">LambdaLR</td>
<td valign="middle" align="center">16</td>
<td valign="middle" align="center">30</td>
</tr>
<tr>
<td valign="middle" align="left">EfficientNet-v2</td>
<td valign="middle" align="center">SGD</td>
<td valign="middle" align="center">0.01</td>
<td valign="middle" align="center">LambdaLR</td>
<td valign="middle" align="center">16</td>
<td valign="middle" align="center">30</td>
</tr>
<tr>
<td valign="middle" align="left">ResNet</td>
<td valign="middle" align="center">Adam</td>
<td valign="middle" align="center">0.0001</td>
<td valign="middle" align="center">StepLR</td>
<td valign="middle" align="center">16</td>
<td valign="middle" align="center">30</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>SGD, stochastic gradient descent.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>A binary classification confusion matrix with four conditions, including the true positive (<italic>tp</italic>), false positive (<italic>fp</italic>), true negative (<italic>tn</italic>), and false negative (<italic>fn</italic>), was used to present the training and testing results of the convolutional neural networks. The performances of the convolutional neural networks were evaluated and compared against each other in terms of precision, recall, F<sub>1</sub> score, and Matthews Correlation Coefficient (MCC).</p>
<p>Precision is the ability of the neural networks to detect the susceptible weed species and was calculated using the <italic>tp</italic> and <italic>fp</italic> (<xref ref-type="bibr" rid="B52">Sokolova and Lapalme, 2009</xref>):</p>
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</mml:math>
</disp-formula>
<p>Recall is the effectiveness of the neural networks to detect the susceptible weed species and was computed using the <italic>tp</italic> and <italic>fn</italic> (<xref ref-type="bibr" rid="B52">Sokolova and Lapalme, 2009</xref>):</p>
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</mml:mtable>
</mml:mrow>
</mml:math>
</disp-formula>
<p>The F<sub>1</sub> score is a commonly used metric for measuring the overall performance of the neural networks, which was defined using the following equation (<xref ref-type="bibr" rid="B52">Sokolova and Lapalme, 2009</xref>):</p>
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</mml:math>
</disp-formula>
<p>The MCC is the correlation between ground truth labels and predictions, which was determined using the following equation (<xref ref-type="bibr" rid="B8">Chicco and Jurman, 2020</xref>):</p>
<disp-formula>
<label>(4)</label>
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</disp-formula>
<p>Frames per second (FPS) measures the number of images, also known as frames processed by the neural networks each second. A higher FPS value indicates faster image processing. The FPS value was adopted as a quantitative metric to evaluate the computational efficiency of the neural networks.</p>
</sec>
</sec>
<sec id="s3" sec-type="results">
<title>Results</title>
<sec id="s3_1">
<title>Detection and discrimination of weed species</title>
<p>When the convolutional neural networks were trained for detecting and distinguishing weed species growing in bermudagrass turf, DenseNet, EfficientNet-v2, and ResNet exhibited excellent performances and achieved high F<sub>1</sub> scores (&#x2265;0.995) and MCC values (&#x2265;0.994) in the validation datasets for detecting and distinguishing the sub-images containing dollarweed, goosegrass, purple nutsedge, and the sub-images containing bermudagrass only (<xref ref-type="table" rid="T3">
<bold>Table&#xa0;3</bold>
</xref>). In general, a slight reduction in weed detection performance of all neural networks was observed in the testing datasets compared to the validation datasets.</p>
<table-wrap id="T3" position="float">
<label>Table&#xa0;3</label>
<caption>
<p>Weed species detection and discrimination training results using various convolutional neural networks.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="top" rowspan="2" align="left">Deep learning architecture</th>
<th valign="top" rowspan="2" align="center">Weed species</th>
<th valign="top" colspan="4" align="center">Validation dataset</th>
<th valign="top" colspan="4" align="center">Testing dataset</th>
</tr>    <tr>
<th valign="top" align="center">Precision</th>
<th valign="top" align="center">Recall</th>
<th valign="top" align="center">F<sub>1</sub> score</th>
<th valign="top" align="center">MCC</th>
<th valign="top" align="center">Precision</th>
<th valign="top" align="center">Recall</th>
<th valign="top" align="center">F<sub>1</sub> score</th>
<th valign="top" align="center">MCC</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" rowspan="8" align="left">DenseNet</td>
<td valign="top" align="center">Bermudagrass</td>
<td valign="top" align="center">1.000</td>
<td valign="top" align="center">0.998</td>
<td valign="top" align="center">0.999</td>
<td valign="top" align="center">0.999</td>
<td valign="top" align="center">0.999</td>
<td valign="top" align="center">0.999</td>
<td valign="top" align="center">0.999</td>
<td valign="top" align="center">0.999</td>
</tr>
<tr>
<td valign="top" align="center">Crabgrass</td>
<td valign="top" align="center">0.923</td>
<td valign="top" align="center">0.940</td>
<td valign="top" align="center">0.931</td>
<td valign="top" align="center">0.924</td>
<td valign="top" align="center">0.920</td>
<td valign="top" align="center">0.938</td>
<td valign="top" align="center">0.929</td>
<td valign="top" align="center">0.921</td>
</tr>
<tr>
<td valign="top" align="center">Dollarweed</td>
<td valign="top" align="center">0.998</td>
<td valign="top" align="center">1.000</td>
<td valign="top" align="center">0.999</td>
<td valign="top" align="center">0.999</td>
<td valign="top" align="center">0.996</td>
<td valign="top" align="center">0.998</td>
<td valign="top" align="center">0.997</td>
<td valign="top" align="center">0.997</td>
</tr>
<tr>
<td valign="top" align="center">Goosegrass</td>
<td valign="top" align="center">0.994</td>
<td valign="top" align="center">0.996</td>
<td valign="top" align="center">0.995</td>
<td valign="top" align="center">0.994</td>
<td valign="top" align="center">0.990</td>
<td valign="top" align="center">0.996</td>
<td valign="top" align="center">0.993</td>
<td valign="top" align="center">0.992</td>
</tr>
<tr>
<td valign="top" align="center">Old world diamond-flower</td>
<td valign="top" align="center">0.984</td>
<td valign="top" align="center">0.994</td>
<td valign="top" align="center">0.989</td>
<td valign="top" align="center">0.988</td>
<td valign="top" align="center">0.980</td>
<td valign="top" align="center">0.994</td>
<td valign="top" align="center">0.987</td>
<td valign="top" align="center">0.986</td>
</tr>
<tr>
<td valign="top" align="center">Purple nutsedge</td>
<td valign="top" align="center">0.994</td>
<td valign="top" align="center">0.998</td>
<td valign="top" align="center">0.996</td>
<td valign="top" align="center">0.996</td>
<td valign="top" align="center">0.996</td>
<td valign="top" align="center">0.994</td>
<td valign="top" align="center">0.995</td>
<td valign="top" align="center">0.994</td>
</tr>
<tr>
<td valign="top" align="center">Tropical signalgrass</td>
<td valign="top" align="center">0.937</td>
<td valign="top" align="center">0.920</td>
<td valign="top" align="center">0.928</td>
<td valign="top" align="center">0.921</td>
<td valign="top" align="center">0.937</td>
<td valign="top" align="center">0.916</td>
<td valign="top" align="center">0.926</td>
<td valign="top" align="center">0.918</td>
</tr>
<tr>
<td valign="top" align="center">Virginia buttonweed</td>
<td valign="top" align="center">0.996</td>
<td valign="top" align="center">0.984</td>
<td valign="top" align="center">0.990</td>
<td valign="top" align="center">0.989</td>
<td valign="top" align="center">0.994</td>
<td valign="top" align="center">0.978</td>
<td valign="top" align="center">0.986</td>
<td valign="top" align="center">0.984</td>
</tr>
<tr>
<td valign="top" rowspan="8" align="left">EfficientNet-v2</td>
<td valign="top" align="center">Bermudagrass</td>
<td valign="top" align="center">1.000</td>
<td valign="top" align="center">1.000</td>
<td valign="top" align="center">1.000</td>
<td valign="top" align="center">1.000</td>
<td valign="top" align="center">1.000</td>
<td valign="top" align="center">0.999</td>
<td valign="top" align="center">0.999</td>
<td valign="top" align="center">1.000</td>
</tr>
<tr>
<td valign="top" align="center">Crabgrass</td>
<td valign="top" align="center">0.924</td>
<td valign="top" align="center">0.942</td>
<td valign="top" align="center">0.933</td>
<td valign="top" align="center">0.925</td>
<td valign="top" align="center">0.920</td>
<td valign="top" align="center">0.938</td>
<td valign="top" align="center">0.929</td>
<td valign="top" align="center">0.921</td>
</tr>
<tr>
<td valign="top" align="center">Dollarweed</td>
<td valign="top" align="center">1.000</td>
<td valign="top" align="center">1.000</td>
<td valign="top" align="center">1.000</td>
<td valign="top" align="center">1.000</td>
<td valign="top" align="center">0.998</td>
<td valign="top" align="center">0.998</td>
<td valign="top" align="center">0.998</td>
<td valign="top" align="center">0.998</td>
</tr>
<tr>
<td valign="top" align="center">Goosegrass</td>
<td valign="top" align="center">0.998</td>
<td valign="top" align="center">0.996</td>
<td valign="top" align="center">0.997</td>
<td valign="top" align="center">0.997</td>
<td valign="top" align="center">0.992</td>
<td valign="top" align="center">0.996</td>
<td valign="top" align="center">0.994</td>
<td valign="top" align="center">0.993</td>
</tr>
<tr>
<td valign="top" align="center">Old world diamond-flower</td>
<td valign="top" align="center">0.986</td>
<td valign="top" align="center">0.996</td>
<td valign="top" align="center">0.991</td>
<td valign="top" align="center">0.990</td>
<td valign="top" align="center">0.982</td>
<td valign="top" align="center">0.994</td>
<td valign="top" align="center">0.988</td>
<td valign="top" align="center">0.987</td>
</tr>
<tr>
<td valign="top" align="center">Purple nutsedge</td>
<td valign="top" align="center">0.996</td>
<td valign="top" align="center">0.998</td>
<td valign="top" align="center">0.997</td>
<td valign="top" align="center">0.997</td>
<td valign="top" align="center">0.996</td>
<td valign="top" align="center">0.994</td>
<td valign="top" align="center">0.995</td>
<td valign="top" align="center">0.994</td>
</tr>
<tr>
<td valign="top" align="center">Tropical signalgrass</td>
<td valign="top" align="center">0.941</td>
<td valign="top" align="center">0.922</td>
<td valign="top" align="center">0.931</td>
<td valign="top" align="center">0.924</td>
<td valign="top" align="center">0.937</td>
<td valign="top" align="center">0.918</td>
<td valign="top" align="center">0.927</td>
<td valign="top" align="center">0.919</td>
</tr>
<tr>
<td valign="top" align="center">Virginia buttonweed</td>
<td valign="top" align="center">0.996</td>
<td valign="top" align="center">0.986</td>
<td valign="top" align="center">0.991</td>
<td valign="top" align="center">0.990</td>
<td valign="top" align="center">0.994</td>
<td valign="top" align="center">0.982</td>
<td valign="top" align="center">0.988</td>
<td valign="top" align="center">0.987</td>
</tr>
<tr>
<td valign="top" rowspan="8" align="left">ResNet</td>
<td valign="top" align="center">Bermudagrass</td>
<td valign="top" align="center">0.999</td>
<td valign="top" align="center">0.999</td>
<td valign="top" align="center">0.999</td>
<td valign="top" align="center">0.998</td>
<td valign="top" align="center">0.999</td>
<td valign="top" align="center">0.999</td>
<td valign="top" align="center">0.999</td>
<td valign="top" align="center">0.999</td>
</tr>
<tr>
<td valign="top" align="center">Crabgrass</td>
<td valign="top" align="center">0.922</td>
<td valign="top" align="center">0.942</td>
<td valign="top" align="center">0.932</td>
<td valign="top" align="center">0.924</td>
<td valign="top" align="center">0.918</td>
<td valign="top" align="center">0.938</td>
<td valign="top" align="center">0.928</td>
<td valign="top" align="center">0.920</td>
</tr>
<tr>
<td valign="top" align="center">Dollarweed</td>
<td valign="top" align="center">1.000</td>
<td valign="top" align="center">0.998</td>
<td valign="top" align="center">0.999</td>
<td valign="top" align="center">0.999</td>
<td valign="top" align="center">0.998</td>
<td valign="top" align="center">0.998</td>
<td valign="top" align="center">0.998</td>
<td valign="top" align="center">0.998</td>
</tr>
<tr>
<td valign="top" align="center">Goosegrass</td>
<td valign="top" align="center">0.998</td>
<td valign="top" align="center">0.996</td>
<td valign="top" align="center">0.997</td>
<td valign="top" align="center">0.997</td>
<td valign="top" align="center">0.990</td>
<td valign="top" align="center">0.996</td>
<td valign="top" align="center">0.993</td>
<td valign="top" align="center">0.992</td>
</tr>
<tr>
<td valign="top" align="center">Old world diamond-flower</td>
<td valign="top" align="center">0.986</td>
<td valign="top" align="center">0.996</td>
<td valign="top" align="center">0.991</td>
<td valign="top" align="center">0.990</td>
<td valign="top" align="center">0.980</td>
<td valign="top" align="center">0.994</td>
<td valign="top" align="center">0.987</td>
<td valign="top" align="center">0.986</td>
</tr>
<tr>
<td valign="top" align="center">Purple nutsedge</td>
<td valign="top" align="center">0.996</td>
<td valign="top" align="center">0.998</td>
<td valign="top" align="center">0.997</td>
<td valign="top" align="center">0.997</td>
<td valign="top" align="center">0.996</td>
<td valign="top" align="center">0.994</td>
<td valign="top" align="center">0.995</td>
<td valign="top" align="center">0.994</td>
</tr>
<tr>
<td valign="top" align="center">Tropical signalgrass</td>
<td valign="top" align="center">0.941</td>
<td valign="top" align="center">0.918</td>
<td valign="top" align="center">0.929</td>
<td valign="top" align="center">0.921</td>
<td valign="top" align="center">0.937</td>
<td valign="top" align="center">0.916</td>
<td valign="top" align="center">0.926</td>
<td valign="top" align="center">0.918</td>
</tr>
<tr>
<td valign="top" align="center">Virginia buttonweed</td>
<td valign="top" align="center">0.992</td>
<td valign="top" align="center">0.986</td>
<td valign="top" align="center">0.989</td>
<td valign="top" align="center">0.988</td>
<td valign="top" align="center">0.994</td>
<td valign="top" align="center">0.978</td>
<td valign="top" align="center">0.986</td>
<td valign="top" align="center">0.984</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>For the detection of old world diamond-flower, the recall values of DenseNet in the validation and testing datasets were 0.994, while the precision values were 0.984 and 0.980, respectively, in predicting the correct weed species labels. For the detection of Virginia buttonweed, the precision values of DenseNet were 0.996 and 0.994, respectively, while the recall values were 0.984 and 0.978, respectively. Similar trends were observed in the validation and testing datasets for EfficientNet-v2 and ResNet.</p>
<p>All three neural networks performed poorly at detecting and distinguishing crabgrass and tropical signalgrass growing in bermudagrass turf. Because of low precision and recall values, the F<sub>1</sub> scores and MCC values of DenseNet, EfficientNet-v2, and ResNet never exceeded 0.918, 0.919, and 0.918, respectively, in the validation and testing datasets. The low F<sub>1</sub> scores and MCC values indicate that the neural networks are more likely to mistakenly classify crabgrass as tropical signalgrass (or vice versa). This finding could likely attribute to the similarity in plant morphology between crabgrass and tropical signalgrass.</p>
</sec>
<sec id="s3_2">
<title>Detection and discrimination of weeds susceptible to herbicides</title>
<p>No obvious differences were observed among DenseNet, EfficientNet-v2, and ResNet for detecting and distinguishing weeds susceptible to ACCase-inhibitors, ALS-inhibitors, synthetic auxin herbicides, or bermudagrass without weed infestation (no herbicide) (<xref ref-type="table" rid="T4">
<bold>Table&#xa0;4</bold>
</xref>).</p>
<table-wrap id="T4" position="float">
<label>Table&#xa0;4</label>
<caption>
<p>Training and testing results of various convolutional neural networks for detecting and discriminating the sub-images containing weeds susceptible to herbicides, or bermudagrass without weed infestation (no herbicide).</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="top" rowspan="2" align="left">Deep learning architecture</th>
<th valign="top" rowspan="2" align="center">Herbicides</th>
<th valign="top" colspan="4" align="center">Validation dataset</th>
<th valign="top" colspan="4" align="center">Testing dataset</th>
</tr>    <tr>
<th valign="top" align="center">Precision</th>
<th valign="top" align="center">Recall</th>
<th valign="top" align="center">F<sub>1</sub> score</th>
<th valign="top" align="center">MCC</th>
<th valign="top" align="center">Precision</th>
<th valign="top" align="center">Recall</th>
<th valign="top" align="center">F<sub>1</sub> score</th>
<th valign="top" align="center">MCC</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" rowspan="4" align="left">DenseNet</td>
<td valign="top" align="center">ACCase-inhibiting herbicides</td>
<td valign="top" align="center">0.999</td>
<td valign="top" align="center">0.999</td>
<td valign="top" align="center">0.999</td>
<td valign="top" align="center">0.998</td>
<td valign="top" align="center">0.997</td>
<td valign="top" align="center">0.998</td>
<td valign="top" align="center">0.997</td>
<td valign="top" align="center">0.997</td>
</tr>
<tr>
<td valign="top" align="center">ALS-inhibiting herbicides</td>
<td valign="top" align="center">0.996</td>
<td valign="top" align="center">0.998</td>
<td valign="top" align="center">0.997</td>
<td valign="top" align="center">0.997</td>
<td valign="top" align="center">0.996</td>
<td valign="top" align="center">0.994</td>
<td valign="top" align="center">0.995</td>
<td valign="top" align="center">0.994</td>
</tr>
<tr>
<td valign="top" align="center">No herbicide</td>
<td valign="top" align="center">0.999</td>
<td valign="top" align="center">0.999</td>
<td valign="top" align="center">0.999</td>
<td valign="top" align="center">0.999</td>
<td valign="top" align="center">0.999</td>
<td valign="top" align="center">0.999</td>
<td valign="top" align="center">0.999</td>
<td valign="top" align="center">0.999</td>
</tr>
<tr>
<td valign="top" align="center">Synthetic auxin herbicides</td>
<td valign="top" align="center">0.999</td>
<td valign="top" align="center">0.999</td>
<td valign="top" align="center">0.999</td>
<td valign="top" align="center">0.998</td>
<td valign="top" align="center">0.999</td>
<td valign="top" align="center">0.999</td>
<td valign="top" align="center">0.999</td>
<td valign="top" align="center">0.999</td>
</tr>
<tr>
<td valign="top" rowspan="4" align="left">EfficientNet-v2</td>
<td valign="top" align="center">ACCase-inhibiting herbicides</td>
<td valign="top" align="center">0.999</td>
<td valign="top" align="center">0.999</td>
<td valign="top" align="center">0.999</td>
<td valign="top" align="center">0.999</td>
<td valign="top" align="center">0.998</td>
<td valign="top" align="center">0.998</td>
<td valign="top" align="center">0.998</td>
<td valign="top" align="center">0.997</td>
</tr>
<tr>
<td valign="top" align="center">ALS-inhibiting herbicides</td>
<td valign="top" align="center">0.996</td>
<td valign="top" align="center">0.998</td>
<td valign="top" align="center">0.997</td>
<td valign="top" align="center">0.997</td>
<td valign="top" align="center">0.996</td>
<td valign="top" align="center">0.994</td>
<td valign="top" align="center">0.995</td>
<td valign="top" align="center">0.994</td>
</tr>
<tr>
<td valign="top" align="center">No herbicide</td>
<td valign="top" align="center">0.999</td>
<td valign="top" align="center">0.999</td>
<td valign="top" align="center">0.999</td>
<td valign="top" align="center">0.999</td>
<td valign="top" align="center">1.000</td>
<td valign="top" align="center">0.999</td>
<td valign="top" align="center">0.999</td>
<td valign="top" align="center">1.000</td>
</tr>
<tr>
<td valign="top" align="center">Synthetic auxin herbicides</td>
<td valign="top" align="center">0.999</td>
<td valign="top" align="center">0.999</td>
<td valign="top" align="center">0.999</td>
<td valign="top" align="center">0.999</td>
<td valign="top" align="center">0.999</td>
<td valign="top" align="center">1.000</td>
<td valign="top" align="center">0.999</td>
<td valign="top" align="center">0.999</td>
</tr>
<tr>
<td valign="top" rowspan="4" align="left">ResNet</td>
<td valign="top" align="center">ACCase-inhibiting herbicides</td>
<td valign="top" align="center">0.999</td>
<td valign="top" align="center">0.998</td>
<td valign="top" align="center">0.998</td>
<td valign="top" align="center">0.998</td>
<td valign="top" align="center">0.998</td>
<td valign="top" align="center">0.995</td>
<td valign="top" align="center">0.996</td>
<td valign="top" align="center">0.995</td>
</tr>
<tr>
<td valign="top" align="center">ALS-inhibiting herbicides</td>
<td valign="top" align="center">0.996</td>
<td valign="top" align="center">0.998</td>
<td valign="top" align="center">0.997</td>
<td valign="top" align="center">0.997</td>
<td valign="top" align="center">0.996</td>
<td valign="top" align="center">0.994</td>
<td valign="top" align="center">0.995</td>
<td valign="top" align="center">0.994</td>
</tr>
<tr>
<td valign="top" align="center">No herbicide</td>
<td valign="top" align="center">0.998</td>
<td valign="top" align="center">1.000</td>
<td valign="top" align="center">0.999</td>
<td valign="top" align="center">0.999</td>
<td valign="top" align="center">0.997</td>
<td valign="top" align="center">0.999</td>
<td valign="top" align="center">0.998</td>
<td valign="top" align="center">0.997</td>
</tr>
<tr>
<td valign="top" align="center">Synthetic auxin herbicides</td>
<td valign="top" align="center">0.999</td>
<td valign="top" align="center">0.997</td>
<td valign="top" align="center">0.998</td>
<td valign="top" align="center">0.998</td>
<td valign="top" align="center">0.997</td>
<td valign="top" align="center">0.997</td>
<td valign="top" align="center">0.997</td>
<td valign="top" align="center">0.996</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>DenseNet, EfficientNet-v2, and ResNet achieved high F<sub>1</sub> scores and MCC values (&#x2265;0.997) with high precision (&#x2265;0.996) and recall (&#x2265; 0.997) in the validation datasets. All neural networks had slightly reduced precision and recall values in the testing datasets, but the F<sub>1</sub> scores and MCC values never fell below 0.994.</p>
<p>These results suggest that convolutional neural networks can reliably detect and distinguish weeds susceptible to particular herbicides. Furthermore, it can be inferred that training the neural networks based on the susceptibility of weed species to herbicides could probably minimize the morphological similarity issue and hence improve weed detection accuracy.</p>
</sec>
<sec id="s3_3">
<title>Inference time of the convolutional neural networks</title>
<p>In addition to the weed detection accuracy, the inference time of the convolutional neural networks is also critical for real-time precision herbicide application. The FPS values of DenseNet, EfficientNet-v2, and ResNet were calculated by averaging the inference time of images from the testing dataset. Since the original images were captured at a resolution of 1,920 &#xd7; 1,080 pixels, the detection speed with the full images was measured by processing the sub-images (240 &#xd7; 216 pixels) with a batch size value of 40 (for simultaneously processing 40 sub-images).</p>
<p>All convolutional neural networks, including DenseNet, EfficientNet-v2, and ResNet, had an excellent detection speed (&#x2265;77.94fps) when detecting and distinguishing the sub-images with a batch size value of 1 (<xref ref-type="table" rid="T5">
<bold>Table&#xa0;5</bold>
</xref>). DenseNet, with 61.79 full images detected per second, was 31.59 slower than ResNet but noticeably faster than EfficientNet-v2 when setting the batch size value as 40. ResNet demonstrated the fastest inference rate and outperformed the other convolutional neural networks on detection efficiency. However, the slow detection of EfficientNet-v2 may limit its potential applications.</p>
<table-wrap id="T5" position="float">
<label>Table&#xa0;5</label>
<caption>
<p>The inference time of the convolutional neural networks evaluated in the study.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" align="left">Deep learning architecture</th>
<th valign="middle" align="center">Image type</th>
<th valign="middle" align="center">Resolution</th>
<th valign="middle" align="center">Batch size</th>
<th valign="middle" align="center">FPS</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="middle" rowspan="2" align="left">DenseNet</td>
<td valign="middle" rowspan="2" align="center">Sub-image</td>
<td valign="middle" rowspan="2" align="center">240 &#xd7; 216</td>
<td valign="middle" align="center">1</td>
<td valign="middle" align="center">103.75</td>
</tr>
<tr>
<td valign="middle" align="center">40</td>
<td valign="middle" align="center">61.79</td>
</tr>
<tr>
<td valign="middle" rowspan="2" align="left">EfficientNet-v2</td>
<td valign="middle" rowspan="2" align="center">Sub-image</td>
<td valign="middle" rowspan="2" align="center">240 &#xd7; 216</td>
<td valign="middle" align="center">1</td>
<td valign="middle" align="center">77.94</td>
</tr>
<tr>
<td valign="middle" align="center">40</td>
<td valign="middle" align="center">38.77</td>
</tr>
<tr>
<td valign="middle" rowspan="2" align="left">ResNet</td>
<td valign="middle" rowspan="2" align="center">Sub-image</td>
<td valign="middle" rowspan="2" align="center">240 &#xd7; 216</td>
<td valign="middle" align="center">1</td>
<td valign="middle" align="center">276.08</td>
</tr>
<tr>
<td valign="middle" align="center">40</td>
<td valign="middle" align="center">93.38</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>FPS, frames per second.</p>
</fn>
</table-wrap-foot>
</table-wrap>
</sec>
</sec>
<sec id="s4" sec-type="discussion">
<title>Discussion</title>
<p>Deep learning methods for weed detection typically focus on distinguishing weed species, but various weed species with comparable plant morphological features may be found in the turfgrass. Thus, it is difficult for neural networks to achieve high accuracy of detection and discrimination for every weed species. Distinguishing different categories of weed species growing in turf based on their susceptibility to herbicides reduces the complexity of weed detection. By training the neural networks according to the susceptibility of weed species to herbicides, we achieved an excellent performance in weed detection. Moreover, this strategy allows the use of specific herbicides for precision spraying susceptible weeds, thus saving more herbicides.</p>
<p>When training convolutional neural networks for detecting weeds susceptible to herbicides, weed vegetation was grouped and labeled into three categories: weeds susceptible to ACCase-inhibitors, weeds susceptible to ALS-inhibitors, and weeds susceptible to synthetic auxin herbicides. ACCase-inhibitors, such as diclofop-methyl, can be applied in bermudagrass turf for POST control of various grassy weeds, while sethoxydim (cyclohexanedione), another ACCase-inhibitor, is used for POST control of grassy weeds growing in centipedegrass [<italic>Eremochloa ophiuroides</italic> (Munro) Hack.] (<xref ref-type="bibr" rid="B40">Neal et&#xa0;al., 1990</xref>; <xref ref-type="bibr" rid="B56">Tate et&#xa0;al., 2021</xref>). Synthetic auxin herbicides, such as 2,4-D and mecoprop, are POST herbicides that selectively control broadleaf weeds in bermudagrass turf (<xref ref-type="bibr" rid="B14">Grichar et&#xa0;al., 2008</xref>; <xref ref-type="bibr" rid="B48">Reed et&#xa0;al., 2013</xref>). ALS-inhibitors (e.g. halosulfuron, imazaquin, and trifloxysulfuron-sodium) can effectively control nutsedge weeds. However, it should be noted that certain ALS-inhibitors, such as halosulfuron and trifloxysulfuron-sodium, can also suppress or effectively control broadleaf weeds (<xref ref-type="bibr" rid="B36">McElroy and Martins, 2013</xref>). In this context, broadleaf and nutsedge weeds could be grouped into the same category when training the neural network for precision spraying the ALS-inhibitors that are effective for controlling both broadleaves and nutsedges growing in bermudagrass turf.</p>
<p>Deep learning neural networks, including image classification and object detection neural networks, can be developed and potentially integrated into the machine vision sub-system of a smart sprayer. Nevertheless, it should be noted that image classification neural networks alone do not localize weeds on the input images. Consequently, when utilizing image classification neural networks for weed detection, a smart sprayer likely generates a considerably larger spraying output area than the area covered by weeds. In the present work, localizing weeds with image classification neural networks could be realized by cropping the input image into multiple grid cells (sub-images) and identifying the grid cells containing weeds.</p>
<p>In the present study, original images (1,920 &#xd7; 1,080 pixels) were divided into 40 grid cells (sub-images with a resolution of 240 &#xd7; 216 pixels) for training and testing the image classification neural networks. Spraying areas can be localized by detecting if the grid cells contain weeds. When developing a precision spraying system, custom software can be programmed to generate grid cell maps on the input images and realize precision herbicide application by detecting if the grid cells contain weeds susceptible to the herbicides. To realize precision herbicide spraying, a binary (on/off) input command can be implemented <italic>via</italic> a nozzle control system to turn off the spray nozzles over the weed-free cells while the nozzles corresponding to the grid cells containing weeds need to be turned on.</p>
<p>While the convolutional neural networks achieved high classification rates for detecting and distinguishing weeds susceptible to herbicides, it should be noted that when weeds susceptible to different herbicides are grown too close or occluded, the neural networks would not effectively distinguish weed categories based on their susceptibility to the herbicides because the grid cell contains multiple targets. Although such a case may result in missed detection, this is hardly an issue in field applications because the weed infestation zone has been detected, and one of the herbicides will be sprayed onto the susceptible weeds.</p>
<p>It was reported that the training image size could significantly affect the reliability of image classification neural networks for weed detection (<xref ref-type="bibr" rid="B69">Zhuang et&#xa0;al., 2021</xref>; <xref ref-type="bibr" rid="B59">Yang et&#xa0;al., 2022b</xref>). For example, Zhuang et&#xa0;al. observed increased classification accuracy (high recall values) with AlexNet and VGGNet when they were trained with images of 200 &#xd7; 200 pixels than 300 &#xd7; 300 or 400 &#xd7; 400 pixels; however, increasing training image quantities diminished the differences in detection accuracy (<xref ref-type="bibr" rid="B69">Zhuang et&#xa0;al., 2021</xref>). In the present study, each sub-image (240 &#xd7; 216 pixels) represented a physical size of 10&#xa0;cm &#xd7; 9&#xa0;cm. When the convolutional neural networks are integrated into the machine vision sub-system of smart sprayers for precision herbicide application, the nozzles should generate the same or slightly larger spraying outputs to cover the grid cells. An additional investigation is needed to investigate the implications of training image sizes and quantities on the performances of neural networks for weed detection in turf.</p>
</sec>
<sec id="s5" sec-type="conclusions">
<title>Conclusions</title>
<p>The present research demonstrated the reliability and effectiveness of using convolutional neural networks to detect and distinguish weeds growing in bermudagrass turf based on their susceptibility to herbicides. All convolutional neural networks, including DenseNet, EfficientNet-v2, and ResNet achieved excellent F<sub>1</sub> scores (&#x2265; 0.995) and MCC values (&#x2265; 0.994) in the validation and testing datasets to detect and distinguish weeds susceptible to ACCase-inhibitors, ALS-inhibitors, and synthetic auxin herbicides, or bermudagrass turf without weed infestation (no herbicide). In addition, DenseNet, EfficientNet-v2, and ResNet had an excellent detection speed (&#x2265;77.94fps) when detecting and distinguishing the sub-images with a resolution of 240 &#xd7; 216 pixels. For detecting the original/full images (1,920 &#xd7; 1,080 pixels), ResNet demonstrated the fastest inference rate and outperformed the other convolutional neural networks on detection efficiency (93.38fps). Effective detection and discrimination of weeds susceptible to herbicides enable the smart sprayer to spray particular herbicides to control susceptible weeds, thereby significantly reducing herbicide input. Based on the high-level performance, we conclude that the proposed method is highly suitable for integrating into the machine vision sub-system of smart sprayers for the precision control of weeds while growing in turf.</p>
</sec>
<sec id="s6" sec-type="data-availability">
<title>Data availability statement</title>
<p>The original contributions presented in the study are included in the article/supplementary material. Further inquiries can be directed to the corresponding author.</p>
</sec>
<sec id="s7" sec-type="author-contributions">
<title>Author contributions</title>
<p>XJ conceived the research ideas and designed the experiments under the guidance of YC and JY. TL, PM, and JY collected the data and conducted the data analysis. XJ drafted the manuscript. PM, YC, and JY edited and revised the manuscript. All authors contributed to the article and approved the submitted version.</p>
</sec>
</body>
<back>
<sec id="s8" sec-type="funding-information">
<title>Funding</title>
<p>This work was supported by the National Natural Science Foundation of China (Grant No. 32072498) and the Postgraduate Research &amp; Practice Innovation Program of Jiangsu Province (Grant No. KYCX22_1051).</p>
</sec>
<sec id="s9" sec-type="COI-statement">
<title>Conflict of interest</title>
<p>The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec id="s10" sec-type="disclaimer">
<title>Publisher&#x2019;s note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
<ref-list>
<title>References</title>
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