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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.2025.1520304</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>Combine photosynthetic characteristics and leaf hyperspectral reflectance for early detection of water stress</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" equal-contrib="yes">
<name>
<surname>Li</surname>
<given-names>Linbao</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
<xref ref-type="author-notes" rid="fn003">
<sup>&#x2020;</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1774639"/>
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</contrib>
<contrib contrib-type="author" equal-contrib="yes">
<name>
<surname>Huang</surname>
<given-names>Guiyun</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
<xref ref-type="author-notes" rid="fn003">
<sup>&#x2020;</sup>
</xref>
<role content-type="https://credit.niso.org/contributor-roles/writing-original-draft/"/>
</contrib>
<contrib contrib-type="author" equal-contrib="yes">
<name>
<surname>Wu</surname>
<given-names>Jinhua</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
<xref ref-type="author-notes" rid="fn003">
<sup>&#x2020;</sup>
</xref>
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<contrib contrib-type="author">
<name>
<surname>Yu</surname>
<given-names>Yunchao</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
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</contrib>
<contrib contrib-type="author">
<name>
<surname>Zhang</surname>
<given-names>Guangxin</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
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<contrib contrib-type="author">
<name>
<surname>Su</surname>
<given-names>Yang</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
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<contrib contrib-type="author">
<name>
<surname>Wang</surname>
<given-names>Xiongying</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
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<contrib contrib-type="author">
<name>
<surname>Chen</surname>
<given-names>Huiyuan</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
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</contrib>
<contrib contrib-type="author">
<name>
<surname>Wang</surname>
<given-names>Yeqing</given-names>
</name>
<xref ref-type="aff" rid="aff4">
<sup>4</sup>
</xref>
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</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Wu</surname>
<given-names>Di</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
<xref ref-type="author-notes" rid="fn001">
<sup>*</sup>
</xref>
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<aff id="aff1">
<sup>1</sup>
<institution>Yangtze River Biodiversity Research Centre, China Three Gorges Corporation</institution>, <addr-line>Wuhan</addr-line>, <country>China</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>China Three Gorges Corporation, Hubei Key Laboratory of Rare Resource Plants in Three Gorges Reservoir Area</institution>, <addr-line>Yichang</addr-line>, <country>China</country>
</aff>
<aff id="aff3">
<sup>3</sup>
<institution>National Engineering Research Center of Eco-Environment Protection for Yangtze River Economic Belt, China Three Gorges Corporation</institution>, <addr-line>Wuhan</addr-line>, <country>China</country>
</aff>
<aff id="aff4">
<sup>4</sup>
<institution>Wufeng Houhe National Nature Reserver, Hubei Forestry Bureau</institution>, <addr-line>Yichang</addr-line>, <country>China</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>Edited by: Baris Uzilday, Ege University, T&#xfc;rkiye</p>
</fn>
<fn fn-type="edited-by">
<p>Reviewed by: Behnam Asgari Lajayer, Dalhousie University, Canada</p>
<p>Deniz Istipliler, Ege University, T&#xfc;rkiye</p>
</fn>
<fn fn-type="corresp" id="fn001">
<p>*Correspondence: Di Wu, <email xlink:href="mailto:wu_di3@ctg.com.cn">wu_di3@ctg.com.cn</email>
</p>
</fn>
<fn fn-type="equal" id="fn003">
<p>&#x2020;These authors have contributed equally to this work</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>09</day>
<month>04</month>
<year>2025</year>
</pub-date>
<pub-date pub-type="collection">
<year>2025</year>
</pub-date>
<volume>16</volume>
<elocation-id>1520304</elocation-id>
<history>
<date date-type="received">
<day>01</day>
<month>11</month>
<year>2024</year>
</date>
<date date-type="accepted">
<day>14</day>
<month>02</month>
<year>2025</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2025 Li, Huang, Wu, Yu, Zhang, Su, Wang, Chen, Wang and Wu</copyright-statement>
<copyright-year>2025</copyright-year>
<copyright-holder>Li, Huang, Wu, Yu, Zhang, Su, Wang, Chen, Wang and Wu</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>Advanced techniques capable of early and non-destructive detection of the impacts of water stress on trees and estimation of the underlying photosynthetic capacities on larger scale are necessary to meet the challenges of limiting plant growth and ecological protection caused by drought. We tested influence of continuous water stress on photosynthetic traits including Leaf Chlorophyll content (LCC) and Chlorophyll Fluorescence (ChlF) and combined hyperspectral reflectance as a high-throughput approach for early and non-destructive assessment of LCC and ChlF traits in <italic>Rhamnus leptophylla</italic> trees. LCC and ChlF parameters (NPQ, Fv&#x2019;/Fm&#x2019;, ETR, ETRmax, Fm&#x2019;, qL, qP, Y(II) were measured alongside leaf hyperspectral reflectance from <italic>Rhamnus leptophylla</italic> suffering from constant drought during water stress. Water stress caused NPQ, Fv&#x2019;/Fm&#x2019;, ETRmax, Fm&#x2019;, qL, qP, Y(II) and ETR continuous decline throughout the entire drought period. ChlF was more sensitive to drought monitoring than LCC. The original reflectance spectra and hyperspectral vegetation indices (SVIs) showed a strong correlation with LCC and ChlF. Reflectance in 540-560nm and 750-1100nm and selected SVI such as Simple Ratio (SR)752/690 can track drought responses effectively before leaves showed drought symptoms. Multivariate Linear Regression (MLR) and three machine learning algorithms, namely Random Forest (RF), Support Vector Machine (SVM), and K-Nearest Neighbor (KNN) were employed to develop models for estimating LCC and ChlF parameters. RF provided the best estimation accuracy for LCC compared to MLR, KNN and SVM, achieving an R<sup>2</sup> value of 0.895 for all LCC samples. The canopy layer significantly influenced the estimation accuracy of LCC, with the middle layer yielding the highest R<sup>2</sup> value. RF also demonstrated superior performance compared to MLR, KNN and SVM for estimating NPQ, Fv&#x2019;/Fm&#x2019;, ETRmax, Fm&#x2019;, qL, qP, Y(II) and ETR, achieving R<sup>2</sup> value of 0.854 for NPQ, 0.610 for Fv&#x2019;/Fm&#x2019;, 0.878 for ETRmax, 0.676 for Fm&#x2019;, 0.604 for qL, 0.731 for qP, 0.879 for Y(II), and 0.740 for ETR. Our results indicate that photosynthetic traits combined hyperspectral reflectance can monitor the effect of drought on trees effectively with significant potential for monitoring drought over large areas.</p>
</abstract>
<kwd-group>
<kwd>chlorophyll fluorescence</kwd>
<kwd>hyperspectral reflectance</kwd>
<kwd>leaf chlorophyll content</kwd>
<kwd>machine learning algorithms</kwd>
<kwd>
<italic>Rhamnus leptophylla</italic>
</kwd>
<kwd>water stress</kwd>
</kwd-group>
<counts>
<fig-count count="11"/>
<table-count count="7"/>
<equation-count count="3"/>
<ref-count count="78"/>
<page-count count="20"/>
<word-count count="7674"/>
</counts>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-in-acceptance</meta-name>
<meta-value>Plant Abiotic Stress</meta-value>
</custom-meta>
</custom-meta-wrap>
</article-meta>
</front>
<body>
<sec id="s1" sec-type="intro">
<label>1</label>
<title>Introduction</title>
<p>Global warming is a significant consequence of human activities, primarily driven by the overuse of fossil fuels, which has led to an increased concentration of greenhouse gases in the atmosphere. This rise in greenhouse gas levels is responsible for the increasing average surface temperature of the Earth (<xref ref-type="bibr" rid="B2">Al-Ghussain, 2019</xref>). Furthermore, it enhances evaporation rates and decreases soil moisture content (<xref ref-type="bibr" rid="B56">Samaniego et&#xa0;al., 2018</xref>). Consequently, climate change may exacerbate drought conditions, leading to more rapid onset, increased intensity, and prolonged duration of drought events (<xref ref-type="bibr" rid="B65">Trenberth et&#xa0;al., 2014</xref>). Water stress often leads to plant dehydration, disrupting the ability of plant cells to maintain normal water concentration levels for their physiological activities (<xref ref-type="bibr" rid="B49">Porporato et&#xa0;al., 2001</xref>; <xref ref-type="bibr" rid="B50">Rad et&#xa0;al., 2022</xref>). Therefore, water stress is one of the most important abiotic stress factors limiting plant growth and agricultural productivity (<xref ref-type="bibr" rid="B9">Chaves et&#xa0;al., 2002</xref>; <xref ref-type="bibr" rid="B20">Gerhards et&#xa0;al., 2019</xref>; <xref ref-type="bibr" rid="B1">Alagoz et&#xa0;al., 2023</xref>; <xref ref-type="bibr" rid="B55">Samadi et&#xa0;al., 2024</xref>). Photosynthesis is an important physiological activity in the growth process of green plants, which is sensitives to soil drought. And water stress often leads to low net photosynthetic rates (<xref ref-type="bibr" rid="B68">Xiao et&#xa0;al., 2019</xref>). Traditional water deficit monitoring was achieved by measuring soil moisture content by using soil moisture measuring instrument quickly. Loose voids in the soil can result to delayed and inaccurate monitoring drought for plants. It may be the quickest and most direct way to detect drought through leaf physiology such as photosynthetic traits.</p>
<p>Chlorophyll and chlorophyll fluorescence was key traits allowing for the assessment of photosynthetic capacity and adaptability of plants. Chlorophyll is a key pigment in photosynthesis which participating in acquisition and conversion of light energy for providing essential biochemical energy for Calvin&#x2013;Benson cycle (<xref ref-type="bibr" rid="B18">Evans, 1989</xref>; <xref ref-type="bibr" rid="B46">Peng et&#xa0;al., 2017</xref>). leaf chlorophyll content (LCC) and Chlorophyll fluorescence (ChlF) serves as a natural indicator for assessing the photosynthetic capacity of leaves, reflecting the efficiency of photosynthesis and the allocation of photosynthetic products in plants (<xref ref-type="bibr" rid="B38">Linn et&#xa0;al., 2021</xref>; <xref ref-type="bibr" rid="B60">Song et&#xa0;al., 2024</xref>). And it is also a non-invasive tool for assessing plant stress and adaptation mechanisms under drought conditions (<xref ref-type="bibr" rid="B53">Salvatori et&#xa0;al., 2016</xref>). The examination of variations in plant chlorophyll fluorescence enhances comprehension of the efficacy of light energy absorption, conversion, and utilization within the plant photosynthetic system at a microscopic scale (<xref ref-type="bibr" rid="B48">Pleban et&#xa0;al., 2020</xref>).</p>
<p>Plants can be irreversibly affected before visible symptoms of water stress appear (<xref ref-type="bibr" rid="B71">Yordanov et&#xa0;al., 2003</xref>). Compared to traditional field measurements, remote sensing can provide timely and reliable information about the plant physiology with a cost-effective way (<xref ref-type="bibr" rid="B6">Bouman et&#xa0;al., 1996</xref>). Hyperspectral data are ranging from the visible over the near infrared to the intermediate infrared and can provide spectral features regarding differences in leaf metabolism, structure, and physiological and chemical traits with non-destructive ways at different scales (<xref ref-type="bibr" rid="B70">Yendrek et&#xa0;al., 2017</xref>; <xref ref-type="bibr" rid="B61">Sonobe et&#xa0;al., 2020a</xref>, <xref ref-type="bibr" rid="B62">2020b</xref>; <xref ref-type="bibr" rid="B63">Streher et&#xa0;al., 2020</xref>; <xref ref-type="bibr" rid="B77">Zhou et&#xa0;al., 2021</xref>). Hyperspectral Reflectance have been used for early detecting scab induced stress in apple leaves, water stress in citrus and grapevine, salinity stress in Myrica cerifera, Hydrogen Peroxide in Sorghum before symptoms become visible to the naked eye (<xref ref-type="bibr" rid="B45">Naumann, 2008</xref>; <xref ref-type="bibr" rid="B40">Maimaitiyiming et&#xa0;al., 2017</xref>; <xref ref-type="bibr" rid="B77">Zhou et&#xa0;al., 2021</xref>; <xref ref-type="bibr" rid="B59">Song et&#xa0;al., 2023</xref>). However, the mechanisms linking spectra reflectance to plant functional traits are not always clear, because application of hyperspectral spectra to assess plant function or physiology is often complex (<xref ref-type="bibr" rid="B20">Gerhards et&#xa0;al., 2019</xref>). How to select stable spectral parameters or vegetation index which can characterize physiological and biochemical changes of plants in environmental stress is still a big challenge.</p>
<p>
<italic>Rhamnus leptophylla</italic>, a common shrub or small tree in the Three Gorges area, plays a key role in assessing and monitoring drought stress, which determines its potential for stabilizing side slopes in the fluctuation zone. The selection of <italic>Rhamnus leptophylla</italic> was based on its hypothesized adaptation strategies and potential tolerance to drought stress. It remains unclear whether it is feasible to conduct early drought diagnosis of <italic>Rhamnus leptophylla</italic> by combining photosynthetic parameters and hyperspectral data. In this study, we measured the field photosynthetic traits including LCC, ChlF parameters and corresponding hyperspectral reflectance over progressive water stress and aimed to (1) explore the effect of water stress to photosynthetic capacities; (2) What is the variation in the leaf reflectance in continuous water stress? What is the key hyperspectral information of <italic>Rhamnus leptophylla</italic> leaves responding to water stress? (3) compare the potential of various algorithms, including multivariate linear regression and machine learning techniques, for estimating LCC and ChlF under varying water stress.</p>
</sec>
<sec id="s2" sec-type="materials|methods">
<label>2</label>
<title>Materials and methods</title>
<sec id="s2_1">
<label>2.1</label>
<title>Experimental design</title>
<p>This experiment was conducted using <italic>Rhamnus leptophylla</italic> as selected planted material at the greenhouse facility of special plant germplasm resource garden of the Institute of Endangered Plants of the Three Gorges Reservoir. The region experiences maximum and minimum temperatures of 44&#xb0;C and -2.5&#xb0;C, respectively, with an annual average temperature of 18&#xb0;C. The relative air humidity is 77% and 75% (1000 to 1025&#xa0;mm) of annual precipitation take place from April to September (<xref ref-type="bibr" rid="B73">Zeng et&#xa0;al., 2018</xref>). Nine three-year-old plum plant was used, and their height ranged from 2&#xa0;m to 2.5&#xa0;m. They were planted in 40&#xa0;cm plastic pots containing potting mix of commercial substrate and perlite. All the trees were exposed to natural conditions in the experiment during from 15 July to 31 July of 2024 (day 1 to day 17). All the trees were watered to field water capacity in 15 July (onset of the water stress treatment) and not irrigated until 27 July (13 days). Then we re-watered all the <italic>Rhamnus leptophylla</italic> trees in 28 July (day 14). The change of soil water content with time was illustrated in <xref ref-type="fig" rid="f1">
<bold>Figure&#xa0;1</bold>
</xref>.</p>
<fig id="f1" position="float">
<label>Figure&#xa0;1</label>
<caption>
<p>Changes in soil moisture during drought conditions and subsequent re-watering of the <italic>Rhamnus leptophylla</italic> trees.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fpls-16-1520304-g001.tif"/>
</fig>
<p>Leaf chlorophyll content and spectral-related parameters were measured almost daily from July 15 (day 1) to July 31 (day 17) on nine leaves from the upper, middle, and lower layers of nine trees. We also measured the chlorophyll fluorescence parameters of three leaves from the upper, middle, and lower layers for each plant, along with the corresponding hyperspectral reflectance, from July 15 (day 1) to July 31 (day 17).</p>
</sec>
<sec id="s2_2">
<label>2.2</label>
<title>Hyperspectral data acquisition</title>
<p>A portable ASD FieldSpecHH spectrometer (325-1075 nm range, 1 nm resolution; ASD Inc., Boulder, United States) was used to measure the spectral reflectance of <italic>Rhamnus leptophylla</italic> leaves. Each leaf was measured ten times for getting mean value as the representative reflectance of each leaf. When the measurement was conducted, leaf veins should be kept away for obtaining the reflectance of true leaf tissue.</p>
</sec>
<sec id="s2_3">
<label>2.3</label>
<title>Determination of leaf chlorophyll content</title>
<p>LCC was measured by using a handheld chlorophyll meter (SPAD-502Plus, Konica Minolta, Tokyo, Japan) in the field. The chlorophyll meter primarily utilizes leaf transmittance within the central band of 650 to 940 nm to determine chlorophyll content, and SPAD values can more accurately reflect changes in leaf greenness (<xref ref-type="bibr" rid="B64">Ta et&#xa0;al., 2021</xref>). Each sample value was obtained from the same location as where spectral data were obtained. For every sample leaf, three measurements were taken, and these values were then averaged to derive the representative SPAD value for the leaves.</p>
</sec>
<sec id="s2_4">
<label>2.4</label>
<title>Measurement of chlorophyll fluorescence parameters</title>
<p>The chlorophyll fluorescence of the same leaves was analyzed with a MINI-PAM-II fluorometer (Imaging PAM, Walz, Effeltrich, Germany) by User Manual and a previously described method (<xref ref-type="bibr" rid="B25">Gong et&#xa0;al., 2019</xref>). The photochemical efficiency of PSII in the light (Fv&#x2019;/Fm&#x2019;) was measured directly under light without dark adaptation. The nonphotochemical quenching coefficient (NPQ) were calculated based on dark- and light-adapted fluorescence measurements. Maximum electron transfer rate (ETRmax) was obtained by calculating the fitting curve between a series of photosynthetically active radiation (PAR) and ETR. In addition, we also obtained maximal fluorescence in the presence of NPQ (Fm&#x2019;), yield of quantum efficiency(Y(II)), apparent photosynthetic electron transport rate (ETR) and two photochemical quenching coefficient (qP and qL).</p>
</sec>
<sec id="s2_5">
<label>2.5</label>
<title>Extraction of spectral parameters</title>
<p>In total, 56 vegetation indices (VIs), 4 three-edge parameters (TEPs), and first-order differential spectrum (FODS) were selected for LCC estimations which are presented in <xref ref-type="table" rid="T1">
<bold>Table&#xa0;1</bold>
</xref>. The indices included some traditional and popular vegetation indices (VIs), such as normalized difference vegetation index (e.g., NDVI), simple ratio indices (e.g., SR), photochemical vegetation index (e.g., PRI) and ratio vegetation indices (e.g., RVI). VIs simplifies the interpretation of complicated vegetation reflection patterns by establishing indirect connections with plant physiological and structural characteristics (<xref ref-type="bibr" rid="B20">Gerhards et&#xa0;al., 2019</xref>; <xref ref-type="bibr" rid="B77">Zhou et&#xa0;al., 2021</xref>). FODS and TEPs can reflect the spectral attributes of green vegetation well and exhibits sensitivity to variations in LCC (<xref ref-type="bibr" rid="B31">Li et&#xa0;al., 2023</xref>). All data processing and spectral calculations were conducted using the Python programming language v3.10.</p>
<table-wrap id="T1" position="float">
<label>Table&#xa0;1</label>
<caption>
<p>The 61 selected spectral parameters examined in this study, along with their band-specific formulations and corresponding principal references.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" align="center">NO.</th>
<th valign="middle" align="center">Name</th>
<th valign="middle" align="center">Explanation</th>
<th valign="middle" align="center">Reference</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="middle" align="center">1</td>
<td valign="middle" align="center">Anthocyanin Reflectance Index 1</td>
<td valign="middle" align="center">ARI1&#xa0;=&#xa0;1/R550 &#x2212; 1/R700</td>
<td valign="middle" align="center">(<xref ref-type="bibr" rid="B23">Gitelson et&#xa0;al., 2001</xref>)</td>
</tr>
<tr>
<td valign="middle" align="center">2</td>
<td valign="middle" align="center">Anthocyanin Reflectance Index 2</td>
<td valign="middle" align="center">ARI2 = R800<bold>&#xd7;</bold>(1/R550 &#x2212; 1/R700)</td>
<td valign="middle" align="center">(<xref ref-type="bibr" rid="B36">Liang et&#xa0;al., 2016</xref>)</td>
</tr>
<tr>
<td valign="middle" align="center">3</td>
<td valign="middle" align="center">Green Normalized Difference Vegetation Index hyper 1</td>
<td valign="middle" align="center">GNDVIhyper1 = (R750 &#x2212; R550)/(R750 + R550)</td>
<td valign="middle" align="center">(<xref ref-type="bibr" rid="B36">Liang et&#xa0;al., 2016</xref>)</td>
</tr>
<tr>
<td valign="middle" align="center">4</td>
<td valign="middle" align="center">Green Normalized Difference Vegetation Index hyper 2</td>
<td valign="middle" align="center">GNDVIhyper2 = (R800 &#x2212; R550)/(R800 + R550)</td>
<td valign="middle" align="center">(<xref ref-type="bibr" rid="B36">Liang et&#xa0;al., 2016</xref>)</td>
</tr>
<tr>
<td valign="middle" align="center">5</td>
<td valign="middle" align="center">Modified Normalized Difference Vegetation Index</td>
<td valign="middle" align="center">mNDVI705 = (R750 &#x2212; R705)/(R750 + R705 &#x2212; 2R445)</td>
<td valign="middle" align="center">(<xref ref-type="bibr" rid="B36">Liang et&#xa0;al., 2016</xref>)</td>
</tr>
<tr>
<td valign="middle" align="center">6</td>
<td valign="middle" align="center">Modified simple ratio</td>
<td valign="middle" align="center">mSR_705 = (R<sub>750</sub> <bold>&#x2212;</bold> R<sub>445</sub>)/(R<sub>705</sub>+R<sub>445</sub>)</td>
<td valign="middle" align="center">(<xref ref-type="bibr" rid="B58">Sims and Gamon, 2002</xref>)</td>
</tr>
<tr>
<td valign="middle" align="center">7</td>
<td valign="middle" align="center">Canopy Chlorophyll Index</td>
<td valign="middle" align="center">CCI = (R777 &#x2212; R747)/R673</td>
<td valign="middle" align="center">(<xref ref-type="bibr" rid="B36">Liang et&#xa0;al., 2016</xref>)</td>
</tr>
<tr>
<td valign="middle" align="center">8</td>
<td valign="middle" align="center">Vogelmann Index 2</td>
<td valign="middle" align="center">VOG2 = (R<sub>734</sub> &#x2212; R<sub>747</sub>)/(R<sub>715</sub> + R<sub>726</sub>)</td>
<td valign="middle" align="center">(<xref ref-type="bibr" rid="B36">Liang et&#xa0;al., 2016</xref>)</td>
</tr>
<tr>
<td valign="middle" align="center">9</td>
<td valign="middle" align="center">Simple Ratio</td>
<td valign="middle" align="center">SR = R<sub>800</sub>/R<sub>680</sub>
</td>
<td valign="middle" align="center">(<xref ref-type="bibr" rid="B29">Jordan, 1969</xref>)</td>
</tr>
<tr>
<td valign="middle" align="center">10</td>
<td valign="middle" align="center">Carter1</td>
<td valign="middle" align="center">Carte1 = R695/R420</td>
<td valign="middle" align="center">(<xref ref-type="bibr" rid="B8">Carter, 1994</xref>)</td>
</tr>
<tr>
<td valign="middle" align="center">11</td>
<td valign="middle" align="center">Carter2</td>
<td valign="middle" align="center">Carte2 = R695/R760</td>
<td valign="middle" align="center">(<xref ref-type="bibr" rid="B8">Carter, 1994</xref>)</td>
</tr>
<tr>
<td valign="middle" align="center">12</td>
<td valign="middle" align="center">Carter3</td>
<td valign="middle" align="center">Carte3 = R605/R760</td>
<td valign="middle" align="center">(<xref ref-type="bibr" rid="B8">Carter, 1994</xref>)</td>
</tr>
<tr>
<td valign="middle" align="center">13</td>
<td valign="middle" align="center">Carter4</td>
<td valign="middle" align="center">Carte4 = R710/R760</td>
<td valign="middle" align="center">(<xref ref-type="bibr" rid="B8">Carter, 1994</xref>)</td>
</tr>
<tr>
<td valign="middle" align="center">14</td>
<td valign="middle" align="center">Carter5</td>
<td valign="middle" align="center">Carte5 = R695/R670</td>
<td valign="middle" align="center">(<xref ref-type="bibr" rid="B8">Carter, 1994</xref>)</td>
</tr>
<tr>
<td valign="middle" align="center">15</td>
<td valign="middle" align="center">Photochemical vegetation index</td>
<td valign="middle" align="center">PRI = (R<sub>570</sub>-R<sub>531</sub>)/(R<sub>570</sub>+R<sub>531</sub>)</td>
<td valign="middle" align="center">(<xref ref-type="bibr" rid="B69">Yang et&#xa0;al., 2023</xref>)</td>
</tr>
<tr>
<td valign="middle" align="center">16</td>
<td valign="middle" align="center">Datt1</td>
<td valign="middle" align="center">Datt1 = (R850 &#x2212; R710)/(R850 &#x2212; R680)</td>
<td valign="middle" align="center">(<xref ref-type="bibr" rid="B13">Datt, 1999a</xref>)</td>
</tr>
<tr>
<td valign="middle" align="center">17</td>
<td valign="middle" align="center">Datt2</td>
<td valign="middle" align="center">Datt2 = R850/R710</td>
<td valign="middle" align="center">(<xref ref-type="bibr" rid="B13">Datt, 1999a</xref>)</td>
</tr>
<tr>
<td valign="middle" align="center">18</td>
<td valign="middle" align="center">Datt3</td>
<td valign="middle" align="center">Datt3 = R754/R704</td>
<td valign="middle" align="center">(<xref ref-type="bibr" rid="B13">Datt, 1999a</xref>)</td>
</tr>
<tr>
<td valign="middle" align="center">19</td>
<td valign="middle" align="center">Enhanced Vegetation Index</td>
<td valign="middle" align="center">EVI = 2.5<bold>&#xd7;</bold>((R800 &#x2212; R670)/R800 &#x2212; 6<bold>&#xd7;</bold>R670 &#x2212; 7.5<bold>&#xd7;</bold>R475 + 1))</td>
<td valign="middle" align="center">(<xref ref-type="bibr" rid="B28">Huete et&#xa0;al., 1994</xref>)</td>
</tr>
<tr>
<td valign="middle" align="center">20</td>
<td valign="middle" align="center">Modified Chlorophyll Absorption in Reflectance Index</td>
<td valign="middle" align="center">MCARI = ((R700 &#x2212; R670) &#x2212; 0.2<bold>&#xd7;</bold>(R700 &#x2212; R550))(R700/R670)</td>
<td valign="middle" align="center">(<xref ref-type="bibr" rid="B15">Daughtry et&#xa0;al., 2000</xref>)</td>
</tr>
<tr>
<td valign="middle" align="center">21</td>
<td valign="middle" align="center">Modified Triangular Vegetation Index 1</td>
<td valign="middle" align="center">MTVI1&#xa0;=&#xa0;1.2<bold>&#xd7;</bold>(1.2<bold>&#xd7;</bold>(R800 &#x2212; R550) &#x2212; 2.5 &#xd7; (R670 &#x2212; R550))</td>
<td valign="middle" align="center">(<xref ref-type="bibr" rid="B26">Haboudane et&#xa0;al., 2004</xref>)</td>
</tr>
<tr>
<td valign="middle" align="center">22</td>
<td valign="middle" align="center">Normalized Difference Cloud Index</td>
<td valign="middle" align="center">NDCI = (R762 &#x2212; R527)/(R762 + R527)</td>
<td valign="middle" align="center">(<xref ref-type="bibr" rid="B41">Marshak et&#xa0;al., 2000</xref>)</td>
</tr>
<tr>
<td valign="middle" align="center">23</td>
<td valign="middle" align="center">Plant Senescence Reflectance Index</td>
<td valign="middle" align="center">PSRI = (R678 &#x2212; R500)/R750</td>
<td valign="middle" align="center">(<xref ref-type="bibr" rid="B43">Merzlyak et&#xa0;al., 1999</xref>)</td>
</tr>
<tr>
<td valign="middle" align="center">24</td>
<td valign="middle" align="center">Renormalized Difference Vegetation Index</td>
<td valign="middle" align="center">RDVI = (R<sub>800</sub> &#x2212; R<sub>670</sub>)/<inline-formula>
<mml:math display="inline" id="im1">
<mml:mrow>
<mml:msqrt>
<mml:mrow>
<mml:msub>
<mml:mtext>R</mml:mtext>
<mml:mrow>
<mml:mn>800</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mtext>R</mml:mtext>
<mml:mrow>
<mml:mn>670</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:msqrt>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td valign="middle" align="center">(<xref ref-type="bibr" rid="B52">Roujean and Breon, 1995</xref>)</td>
</tr>
<tr>
<td valign="middle" align="center">25</td>
<td valign="middle" align="center">Red-Edge Position Linear Interpolation</td>
<td valign="middle" align="center">REP = 700&#xa0;+&#xa0;40<bold>&#xd7;</bold>((R<sub>670</sub> + R<sub>780</sub>)/2 &#x2212; R<sub>700</sub>)/(R<sub>740</sub> &#x2212; R<sub>700</sub>)</td>
<td valign="middle" align="center">(<xref ref-type="bibr" rid="B11">Clevers, 1994</xref>)</td>
</tr>
<tr>
<td valign="middle" align="center">26</td>
<td valign="middle" align="center">Spectral Polygon Vegetation Index 1</td>
<td valign="middle" align="center">SPVI1&#xa0;=&#xa0;0.4<bold>&#xd7;</bold>3.7<bold>&#xd7;</bold>(R<sub>800</sub> &#x2212; R<sub>670</sub>) &#x2212; 1.2<bold>&#xd7;</bold>|R<sub>530</sub> &#x2212; R<sub>670</sub>|</td>
<td valign="middle" align="center">(<xref ref-type="bibr" rid="B67">Vincini et&#xa0;al., 2005</xref>)</td>
</tr>
<tr>
<td valign="middle" align="center">27</td>
<td valign="middle" align="center">Simple Ratio Pigment Index</td>
<td valign="middle" align="center">SRPI = R<sub>430</sub>/R<sub>680</sub>
</td>
<td valign="middle" align="center">(<xref ref-type="bibr" rid="B47">Penuelas et&#xa0;al., 1995</xref>)</td>
</tr>
<tr>
<td valign="middle" align="center">28</td>
<td valign="middle" align="center">Transformed Vegetation Index</td>
<td valign="middle" align="center">TVl = 0.5&#xd7;(120&#xd7;(R<sub>750</sub> <bold>&#x2212;</bold> R<sub>550</sub>)) <bold>&#x2212;</bold>200&#xd7;(R<sub>670</sub> <bold>&#x2212;</bold> R<sub>550</sub>)</td>
<td valign="middle" align="center">(<xref ref-type="bibr" rid="B7">Broge and Leblanc, 2001</xref>)</td>
</tr>
<tr>
<td valign="middle" align="center">29</td>
<td valign="middle" align="center">Simple Ratio 440/690</td>
<td valign="middle" align="center">SR(440,690) = R<sub>440</sub>/R<sub>690</sub>
</td>
<td valign="middle" align="center">(<xref ref-type="bibr" rid="B37">Lichtenthaler et&#xa0;al., 1995</xref>)</td>
</tr>
<tr>
<td valign="middle" align="center">30</td>
<td valign="middle" align="center">Simple Ratio 700/670</td>
<td valign="middle" align="center">SR(700,670) = R<sub>700</sub>/R<sub>670</sub>
</td>
<td valign="middle" align="center">(<xref ref-type="bibr" rid="B42">McMurtrey et&#xa0;al., 1994</xref>)</td>
</tr>
<tr>
<td valign="middle" align="center">31</td>
<td valign="middle" align="center">Simple Ratio 750/550</td>
<td valign="middle" align="center">SR(750,550) = R<sub>750</sub>/R<sub>550</sub>
</td>
<td valign="middle" align="center">(<xref ref-type="bibr" rid="B42">McMurtrey et&#xa0;al., 1994</xref>)</td>
</tr>
<tr>
<td valign="middle" align="center">32</td>
<td valign="middle" align="center">Simple Ratio 750/700</td>
<td valign="middle" align="center">SR(750,700) = R<sub>750</sub>/R<sub>700</sub>
</td>
<td valign="middle" align="center">(<xref ref-type="bibr" rid="B22">Gitelson and Merzlyak, 1997</xref>)</td>
</tr>
<tr>
<td valign="middle" align="center">33</td>
<td valign="middle" align="center">Simple Ratio 750/710</td>
<td valign="middle" align="center">SR(750,710) = R<sub>750</sub>/R<sub>710</sub>
</td>
<td valign="middle" align="center">(<xref ref-type="bibr" rid="B72">Zarco-Tejada and Miller, 1999</xref>)</td>
</tr>
<tr>
<td valign="middle" align="center">34</td>
<td valign="middle" align="center">Simple Ratio 752/690</td>
<td valign="middle" align="center">SR(752,690) = R<sub>752</sub>/R<sub>690</sub>
</td>
<td valign="middle" align="center">(<xref ref-type="bibr" rid="B72">Zarco-Tejada and Miller, 1999</xref>)</td>
</tr>
<tr>
<td valign="middle" align="center">35</td>
<td valign="middle" align="center">Simple Ratio 800/680</td>
<td valign="middle" align="center">SR(800,680) = R<sub>800</sub>/R<sub>680</sub>
</td>
<td valign="middle" align="center">(<xref ref-type="bibr" rid="B58">Sims and Gamon, 2002</xref>)</td>
</tr>
<tr>
<td valign="middle" align="center">36</td>
<td valign="middle" align="center">Simple Ratio 735/720</td>
<td valign="middle" align="center">SR(735,720) = R<sub>735</sub>/R<sub>720</sub>
</td>
<td valign="middle" align="center">(<xref ref-type="bibr" rid="B72">Zarco-Tejada and Miller, 1999</xref>)</td>
</tr>
<tr>
<td valign="middle" align="center">37</td>
<td valign="middle" align="center">Improved odds index</td>
<td valign="middle" align="center">MSR = (R<sub>800</sub>/R<sub>670</sub> <bold>&#x2212;</bold> 1)/(R<sub>800</sub>/R<sub>670</sub>+1)</td>
<td valign="middle" align="center">(<xref ref-type="bibr" rid="B7">Broge and Leblanc, 2001</xref>)</td>
</tr>
<tr>
<td valign="middle" align="center">38</td>
<td valign="middle" align="center">Transformed Chlorophyll Absorption Ratio</td>
<td valign="middle" align="center">TCARI = 3<bold>&#xd7;</bold>((R<sub>700</sub> &#x2212; R<sub>670</sub>) &#x2212; 0.2<bold>&#xd7;</bold>(R<sub>700</sub> &#x2212; R<sub>550</sub>)(R<sub>700</sub>/R<sub>670</sub>))</td>
<td valign="middle" align="center">(<xref ref-type="bibr" rid="B27">Haboudane et&#xa0;al., 2002</xref>)</td>
</tr>
<tr>
<td valign="middle" align="center">39</td>
<td valign="middle" align="center">Optimized Soil Adjusted Vegetation Index</td>
<td valign="middle" align="center">OSAVI = (1&#xa0;+&#xa0;0.16)<bold>&#xd7;</bold>(R<sub>800</sub> &#x2212; R<sub>670</sub>)/(R<sub>800</sub> + R<sub>670</sub> + 0.16)</td>
<td valign="middle" align="center">(<xref ref-type="bibr" rid="B51">Rondeaux et&#xa0;al., 1996</xref>)</td>
</tr>
<tr>
<td valign="middle" align="center">40</td>
<td valign="middle" align="center">Transformed Chlorophyll Absorption in Reflectance Index/Optimized Soil Adjusted Vegetation Index</td>
<td valign="middle" align="center">TCARI/OSAVI = <inline-formula>
<mml:math display="inline" id="im2">
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:mn>3</mml:mn>
<mml:mo>&#xd7;</mml:mo>
<mml:mo stretchy="false">(</mml:mo>
<mml:mo stretchy="false">(</mml:mo>
<mml:msub>
<mml:mtext>R</mml:mtext>
<mml:mrow>
<mml:mn>700</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mtext>R</mml:mtext>
<mml:mrow>
<mml:mn>670</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo stretchy="false">)</mml:mo>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>0.2</mml:mn>
<mml:mo>&#xd7;</mml:mo>
<mml:mo stretchy="false">(</mml:mo>
<mml:msub>
<mml:mtext>R</mml:mtext>
<mml:mrow>
<mml:mn>700</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mtext>R</mml:mtext>
<mml:mrow>
<mml:mn>550</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo stretchy="false">)</mml:mo>
<mml:mo stretchy="false">(</mml:mo>
<mml:msub>
<mml:mtext>R</mml:mtext>
<mml:mrow>
<mml:mn>700</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo stretchy="false">/</mml:mo>
<mml:msub>
<mml:mtext>R</mml:mtext>
<mml:mrow>
<mml:mn>670</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo stretchy="false">)</mml:mo>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mn>1</mml:mn>
<mml:mo>+</mml:mo>
<mml:mn>0.16</mml:mn>
<mml:mo stretchy="false">)</mml:mo>
<mml:mo>&#xd7;</mml:mo>
<mml:mo stretchy="false">(</mml:mo>
<mml:msub>
<mml:mtext>R</mml:mtext>
<mml:mrow>
<mml:mn>800</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mtext>R</mml:mtext>
<mml:mrow>
<mml:mn>670</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo stretchy="false">)</mml:mo>
<mml:mo stretchy="false">/</mml:mo>
<mml:mo stretchy="false">(</mml:mo>
<mml:msub>
<mml:mtext>R</mml:mtext>
<mml:mrow>
<mml:mn>800</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mtext>R</mml:mtext>
<mml:mrow>
<mml:mn>670</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:mn>0.16</mml:mn>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td valign="middle" align="center">(<xref ref-type="bibr" rid="B36">Liang et&#xa0;al., 2016</xref>)</td>
</tr>
<tr>
<td valign="middle" align="center">41</td>
<td valign="middle" align="center">Triangular Vegetation Index</td>
<td valign="middle" align="center">TVI = 0.5<bold>&#xd7;</bold>(120<bold>&#xd7;</bold>(R<sub>750</sub> &#x2212; R<sub>550</sub>) &#x2013; 200<bold>&#xd7;</bold>(R<sub>670</sub> &#x2212; R<sub>550</sub>))</td>
<td valign="middle" align="center">(<xref ref-type="bibr" rid="B7">Broge and Leblanc, 2001</xref>)</td>
</tr>
<tr>
<td valign="middle" align="center">42</td>
<td valign="middle" align="center">Leaf Chlorophyll Index</td>
<td valign="middle" align="center">LCI = <inline-formula>
<mml:math display="inline" id="im3">
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:mo>|</mml:mo>
<mml:msub>
<mml:mtext>R</mml:mtext>
<mml:mrow>
<mml:mn>850</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>|</mml:mo>
<mml:mo>&#x2212;</mml:mo>
<mml:mo>|</mml:mo>
<mml:msub>
<mml:mtext>R</mml:mtext>
<mml:mrow>
<mml:mn>710</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>|</mml:mo>
</mml:mrow>
<mml:mrow>
<mml:mo>|</mml:mo>
<mml:msub>
<mml:mtext>R</mml:mtext>
<mml:mrow>
<mml:mn>850</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>|</mml:mo>
<mml:mo>&#x2212;</mml:mo>
<mml:mo>|</mml:mo>
<mml:msub>
<mml:mtext>R</mml:mtext>
<mml:mrow>
<mml:mn>680</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>|</mml:mo>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td valign="middle" align="center">(<xref ref-type="bibr" rid="B14">Datt, 1999b</xref>)</td>
</tr>
<tr>
<td valign="middle" align="center">43</td>
<td valign="middle" align="center">Green carotenoid index</td>
<td valign="middle" align="center">CAR_green = (1/R<sub>510</sub>-1/R<sub>550</sub>)&#xd7;R<sub>770</sub>
</td>
<td valign="middle" align="center">(<xref ref-type="bibr" rid="B24">Gitelson et&#xa0;al., 2005</xref>)</td>
</tr>
<tr>
<td valign="middle" align="center">44</td>
<td valign="middle" align="center">Structure Intensive Pigment Index 1</td>
<td valign="middle" align="center">SIPI1 = (R<sub>800</sub> &#x2212; R<sub>445</sub>)/(R<sub>800</sub> &#x2212; R<sub>680</sub>)</td>
<td valign="middle" align="center">(<xref ref-type="bibr" rid="B4">Blackburn, 1998</xref>)</td>
</tr>
<tr>
<td valign="middle" align="center">45</td>
<td valign="middle" align="center">Structure Intensive Pigment Index 2</td>
<td valign="middle" align="center">SIPI2 = (R<sub>800</sub> &#x2212; R<sub>505</sub>)/(R<sub>800</sub> &#x2212; R<sub>690</sub>)</td>
<td valign="middle" align="center">(<xref ref-type="bibr" rid="B4">Blackburn, 1998</xref>)</td>
</tr>
<tr>
<td valign="middle" align="center">46</td>
<td valign="middle" align="center">Structure Intensive Pigment Index 3</td>
<td valign="middle" align="center">SIPI3 = (R<sub>800</sub> &#x2212; R<sub>470</sub>)/(R<sub>800</sub> &#x2212; R<sub>680</sub>)</td>
<td valign="middle" align="center">(<xref ref-type="bibr" rid="B4">Blackburn, 1998</xref>)</td>
</tr>
<tr>
<td valign="middle" align="center">47</td>
<td valign="middle" align="center">Red-Edge Ratio Vegetation Index</td>
<td valign="middle" align="center">RERVI = R<sub>840</sub>/R<sub>717</sub>
</td>
<td valign="middle" align="center">(<xref ref-type="bibr" rid="B24">Gitelson et&#xa0;al., 2005</xref>)</td>
</tr>
<tr>
<td valign="middle" align="center">48</td>
<td valign="middle" align="center">Red-Edge Normalized Difference Vegetation Index</td>
<td valign="middle" align="center">RENDVI = (R<sub>840</sub> &#x2212; R<sub>717</sub>)/(R<sub>840</sub> + R<sub>717</sub>)</td>
<td valign="middle" align="center">(<xref ref-type="bibr" rid="B19">Fitzgerald et&#xa0;al., 2010</xref>)</td>
</tr>
<tr>
<td valign="middle" align="center">49</td>
<td valign="middle" align="center">Red-edged vegetation stress index</td>
<td valign="middle" align="center">RVSI = (R<sub>712</sub> <bold>&#x2212;</bold> R<sub>670</sub>)/2 <bold>&#x2212;</bold> R<sub>732</sub>
</td>
<td valign="middle" align="center">(<xref ref-type="bibr" rid="B16">Devadas et&#xa0;al., 2009</xref>)</td>
</tr>
<tr>
<td valign="middle" align="center">50</td>
<td valign="middle" align="center">Green Ratio Vegetation Index</td>
<td valign="middle" align="center">GRVI = R<sub>840</sub>/R<sub>560</sub>
</td>
<td valign="middle" align="center">(<xref ref-type="bibr" rid="B24">Gitelson et&#xa0;al., 2005</xref>)</td>
</tr>
<tr>
<td valign="middle" align="center"/>
<td valign="middle" align="center">Greenness index</td>
<td valign="middle" align="center">GI = R<sub>554</sub>/R<sub>667</sub>
</td>
<td valign="middle" align="center">(<xref ref-type="bibr" rid="B69">Yang et&#xa0;al., 2023</xref>)</td>
</tr>
<tr>
<td valign="middle" align="center">51</td>
<td valign="middle" align="center">MERIS Terrestrial Chlorophyll Index</td>
<td valign="middle" align="center">MTCI = (R<sub>753</sub> &#x2212; R<sub>708</sub>)/(R<sub>708</sub> &#x2212; R<sub>681</sub>)</td>
<td valign="middle" align="center">(<xref ref-type="bibr" rid="B12">Dash and Curran, 2004</xref>)</td>
</tr>
<tr>
<td valign="middle" align="center">52</td>
<td valign="middle" align="center">Chlorophyll Index Green</td>
<td valign="middle" align="center">CI-green = (R<sub>780</sub>/R<sub>550</sub>) &#x2212; 1</td>
<td valign="middle" align="center">(<xref ref-type="bibr" rid="B21">Gitelson et&#xa0;al., 2006</xref>)</td>
</tr>
<tr>
<td valign="middle" align="center">53</td>
<td valign="middle" align="center">Normalized chlorophyll ratio index</td>
<td valign="middle" align="center">NPCI = (R<sub>680</sub> <bold>&#x2212;</bold> R<sub>630</sub>)/(R<sub>680</sub>+R<sub>630</sub>)</td>
<td valign="middle" align="center">(<xref ref-type="bibr" rid="B10">Chen, 1996</xref>)</td>
</tr>
<tr>
<td valign="middle" align="center">54</td>
<td valign="middle" align="center">Ratio Vegetation Index</td>
<td valign="middle" align="center">RVI = R<sub>765</sub>/R<sub>720</sub>
</td>
<td valign="middle" align="center">(<xref ref-type="bibr" rid="B29">Jordan, 1969</xref>)</td>
</tr>
<tr>
<td valign="middle" align="center">55</td>
<td valign="middle" align="center">Colour content index</td>
<td valign="middle" align="center">R<sub>800</sub> = R<sub>800</sub> <bold>&#x2212;</bold> R<sub>550</sub>
</td>
<td valign="middle" align="center">(<xref ref-type="bibr" rid="B69">Yang et&#xa0;al., 2023</xref>)</td>
</tr>
<tr>
<td valign="middle" align="center">56</td>
<td valign="middle" align="center">FODS</td>
<td valign="middle" align="center">First-order differential spectrum</td>
<td valign="middle" align="center">(<xref ref-type="bibr" rid="B34">Li et&#xa0;al., 2019</xref>)</td>
</tr>
<tr>
<td valign="middle" align="center">57</td>
<td valign="middle" align="center">SDr</td>
<td valign="middle" align="center">First-order differential spectral integration in the wavelength range of 680~760 nm</td>
<td valign="middle" align="center">(<xref ref-type="bibr" rid="B33">Li et&#xa0;al., 2007</xref>)</td>
</tr>
<tr>
<td valign="middle" align="center">58</td>
<td valign="middle" align="center">SDb</td>
<td valign="middle" align="center">First-order differential spectral integration in the wavelength range of 490~530 nm</td>
<td valign="middle" align="center">(<xref ref-type="bibr" rid="B33">Li et&#xa0;al., 2007</xref>)</td>
</tr>
<tr>
<td valign="middle" align="center">59</td>
<td valign="middle" align="center">SDr/SDb</td>
<td valign="middle" align="center">Ratio of the red edge area to the blue edge area</td>
<td valign="middle" align="center">(<xref ref-type="bibr" rid="B33">Li et&#xa0;al., 2007</xref>)</td>
</tr>
<tr>
<td valign="middle" align="center">60</td>
<td valign="middle" align="center">(SDr &#x2212; SDb)/(SDr + SDb)</td>
<td valign="middle" align="center">Normalized value of the red edge area and the blue edge area</td>
<td valign="middle" align="center">(<xref ref-type="bibr" rid="B33">Li et&#xa0;al., 2007</xref>)</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>R, r, and b represent spectral reflectance, red edge, and blue edge, respectively. NO.1~56, 57, and 58~61 was the VIs, FODS, and TEPs, respectively.</p>
</fn>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="s2_6">
<label>2.6</label>
<title>Data analysis</title>
<p>An analysis of variance (ANOVA) was conducted to examine the effects of drought and canopy layers on the leaf chlorophyll content (LCC) and Chlorophyll fluorescence parameters of <italic>Rhamnus leptophylla</italic> trees. <italic>Post-hoc</italic> multiple comparisons were performed using the least significant difference (LSD) method. ANOVA and LSD also were applied for selecting key hyperspectral SVIs. Three machine learning algorithms including K-Nearest Neighbor (KNN), Support Vector Machines (SVM) and Random Forest regression (RF), were applied to estimated LCC and ChlF parameters.</p>
<p>SVM employ a nonlinear kernel function to map input data into a high-dimensional feature space, enabling the representation of complex nonlinear patterns in a simplified manner (<xref ref-type="bibr" rid="B44">Mountrakis et&#xa0;al., 2011</xref>). For optimal SVR performance, a step involved the tuning of hyperparameters. The hyperparameters selected for tuning were the regularization parameter (C), and the kernel coefficient (g) for the three kernel functions: linear functions, radial basis kernel functions, and polynomial kernel functions. C and g were optimized within [10</p>
<p>KNN is a relatively simple method in which the estimation is predicted as a weighted average value with k spectrally nearest neighbors using a weighting method (<xref ref-type="bibr" rid="B74">Zhang et&#xa0;al., 2018</xref>). The KNN parameters were set as follows: the type of distance measures was set to Euclidean distance and Manhattan distance, the weighting functions were set to uniform, algorithm was set &#x201c;auto&#x201d;, and n_neighbors was set to [5,15,20,30,25] (<xref ref-type="bibr" rid="B31">Li et&#xa0;al., 2023</xref>).</p>
<p>RF is an ensemble machine learning technique that relies on decision trees. It constructs numerous small regression trees to make predictions (<xref ref-type="bibr" rid="B5">Boochs et&#xa0;al., 1990</xref>). The primary hyperparameters of RF model consist of the number of trees, maximum depth, min_samples_split, and min_samples_leaf. In this study, the hyperparameters for various photosynthetic parameters were defined as follows: the number of trees was set within a range of [50, 200], the maximum depth was configured as [None, 5], and both min_samples_split and min_samples_leaf were assigned a range of [1, 5].</p>
<p>We performed consecutive measurements across three layers (three leaves per layer) and over a period of 14 days, resulting in a large dataset suitable for model building. And the whole number of samples was 1134. The greenhouse measured data were randomly divided into training (80%) and testing (20%) data. To determine the relationship between the predicted and measured values, the overall model is evaluated in the graph including linear regression and a 1:1 dash-line. Ten - fold cross validation was applied for calculating RMSE to enhance the robustness. The predictive performance of each estimation model was evaluated using the coefficient of determination (R<sup>2</sup>), root mean square error (RMSE) and Bias, calculated as in the following equations:</p>
<disp-formula id="eq1">
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</disp-formula>
<p>where <inline-formula>
<mml:math display="inline" id="im4">
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<mml:math display="inline" id="im5">
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<p>Model building and validation were carried out by using the Scikit-learn library of Python 3.10. All graphs were obtained in OriginPro software 2019.</p>
</sec>
</sec>
<sec id="s3" sec-type="results">
<label>3</label>
<title>Results</title>
<sec id="s3_1">
<label>3.1</label>
<title>Responds of photosynthetic traits of <italic>Rhamnus leptophylla</italic> to water stress</title>
<p>
<xref ref-type="fig" rid="f2">
<bold>Figure&#xa0;2</bold>
</xref> illustrated the effects of water stress to LCC across the upper layer, middle layer and lower layer during the drought treatment period (i.e., days 3, 4, 5,7, &#x2026;&#x2026;, until day 13) and rewatering period (i.e., days 15, 16 and 17). LCC decreased concurrently with the rapid decline in soil water content, regardless of whether the leaves were situated in the upper, middle, or lower layers. Leaves in the upper layers were more sensitive to drought, as LCC began to decline during the early stages of the drought (i.e., days 5). However, LCC begin to decrease significantly in day 9 and day 10 in middle layer and lower layer. After all the trees were re-watered in day 13, LCC continued to decrease obviously and did not recover as we expected in a short time (<xref ref-type="fig" rid="f2">
<bold>Figure&#xa0;2</bold>
</xref>).</p>
<fig id="f2" position="float">
<label>Figure&#xa0;2</label>
<caption>
<p>One-way ANOVA test results of LCC of <italic>Rhamnus leptophylla</italic> trees for the upper layer <bold>(a)</bold>, middle layer <bold>(b)</bold>, and lower layer <bold>(c)</bold> of different water stresses in the drought treatment period (i.e., Days 1, 3, 4 &#x2026; until to day13) and rewatering period (i.e., Days 15, 16 and 17). The data are presented in the form of mean &#xb1; standard error, and significant differences are indicated by different letters.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fpls-16-1520304-g002.tif"/>
</fig>
<p>All the ChlF parameters decreased significantly and rapidly with reduced soil moisture content. NPQ initially increased and subsequently declined; Fv&#x2019;/Fm&#x2019;, ETRmax, ERT, qL, qP, Y(II) and Fm&#x2019; reduced significantly with severe drought. After trees were re-watered in day 13, these three ChlF parameters increased rapidly and almost returned to the initial level of early stage of drought from day 15 to day 17 (<xref ref-type="fig" rid="f3">
<bold>Figures&#xa0;3a&#x2013;h</bold>
</xref>).</p>
<fig id="f3" position="float">
<label>Figure&#xa0;3</label>
<caption>
<p>One-way ANOVA test results of ChlF of <italic>Rhamnus leptophylla</italic> trees for NPQ, Fv&#x2019;/Fm&#x2019;, and ETRmax of different water stresses in the drought treatment period (i.e., Days 1, 3, 4 &#x2026; until to day13) and rewatering period (i.e., Days 15, 16 and 17). <bold>(a&#x2013;h)</bold> were NPQ, Fv&#x2019;/Fm&#x2019;, ETRmax, ERT, qL, qP, Y(II) and Fm&#x2019;. The data are presented in the form of mean &#xb1; standard error, and significant differences are indicated by different letters.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fpls-16-1520304-g003.tif"/>
</fig>
<p>All the measured LCC and ChlF parameters had larger variation, which was benefit for building estimating model. The mean LCC value of upper layer, middle layer lower layer and average of all leaves was 38.43, 32.02, 26.70 and 31.16, respectively. The maximum LCC value was observed in upper layer with values of 48.75 and the minimum value was 15.35 of lower layer (<xref ref-type="table" rid="T2">
<bold>Table&#xa0;2</bold>
</xref>). NPQ had the mean value of 0.91, the maximum value of 2.43 and the minimum value of 0.05. For Fv&#x2019;/Fm&#x2019;, the mean, maximum and minimum value was 0.54, 0.82 and 0.10, respectively. For ETRmax, the mean, maximum and minimum value was 20.37, 43.26 and 2.03, respectively (<xref ref-type="table" rid="T3">
<bold>Table&#xa0;3</bold>
</xref>). And for ETR, qL, qP, Y(II) and Fm&#x2019;, the mean value was 17.8, 0.42, 0.62, 0.34 and 680.93; the maximum value was 29.5, 0.65, 0.83, 0.55 and 1142.0; the minimum value was 1.60, 0.20, 0.28, 0.03 and 301.00, respectively (<xref ref-type="table" rid="T3">
<bold>Table&#xa0;3</bold>
</xref>).</p>
<table-wrap id="T2" position="float">
<label>Table&#xa0;2</label>
<caption>
<p>Descriptive data of Leaf Chlorophyll Content.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" align="center">Summary</th>
<th valign="middle" align="center">Upper layer</th>
<th valign="middle" align="center">Middle layer</th>
<th valign="middle" align="center">Lower layer</th>
<th valign="middle" align="center">All data</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="middle" align="center">Mean</td>
<td valign="middle" align="center">38.43</td>
<td valign="middle" align="center">32.02</td>
<td valign="middle" align="center">26.70</td>
<td valign="middle" align="center">32.16</td>
</tr>
<tr>
<td valign="middle" align="center">SD</td>
<td valign="middle" align="center">3.79</td>
<td valign="middle" align="center">3.75</td>
<td valign="middle" align="center">4.69</td>
<td valign="middle" align="center">6.21</td>
</tr>
<tr>
<td valign="middle" align="center">Median</td>
<td valign="middle" align="center">38.18</td>
<td valign="middle" align="center">32.25</td>
<td valign="middle" align="center">27.10</td>
<td valign="middle" align="center">32.25</td>
</tr>
<tr>
<td valign="middle" align="center">Maximum</td>
<td valign="middle" align="center">48.75</td>
<td valign="middle" align="center">40.40</td>
<td valign="middle" align="center">38.60</td>
<td valign="middle" align="center">47.45</td>
</tr>
<tr>
<td valign="middle" align="center">Minimum</td>
<td valign="middle" align="center">28.80</td>
<td valign="middle" align="center">23.00</td>
<td valign="middle" align="center">15.35</td>
<td valign="middle" align="center">15.35</td>
</tr>
<tr>
<td valign="middle" align="center">Coefficient Variation</td>
<td valign="middle" align="center">0.10</td>
<td valign="middle" align="center">0.12</td>
<td valign="middle" align="center">0.18</td>
<td valign="middle" align="center">0.19</td>
</tr>
</tbody>
</table>
</table-wrap>
<table-wrap id="T3" position="float">
<label>Table&#xa0;3</label>
<caption>
<p>Descriptive data of Leaf Chlorophyll fluorescence parameters.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" align="center">Summary</th>
<th valign="middle" align="center">NPQ</th>
<th valign="middle" align="center">Fv&#x2019;/Fm&#x2019;</th>
<th valign="middle" align="center">ETR<sub>max</sub>
</th>
<th valign="middle" align="center">Fm&#x2019;</th>
<th valign="middle" align="center">qL</th>
<th valign="middle" align="center">qP</th>
<th valign="middle" align="center">Y(II)</th>
<th valign="middle" align="center">ETR</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="middle" align="center">Mean</td>
<td valign="middle" align="center">0.91</td>
<td valign="middle" align="center">0.54</td>
<td valign="middle" align="center">20.37</td>
<td valign="middle" align="center">680.93</td>
<td valign="middle" align="center">0.42</td>
<td valign="middle" align="center">0.62</td>
<td valign="middle" align="center">0.34</td>
<td valign="middle" align="center">17.80</td>
</tr>
<tr>
<td valign="middle" align="center">SD</td>
<td valign="middle" align="center">0.45</td>
<td valign="middle" align="center">0.12</td>
<td valign="middle" align="center">8.68</td>
<td valign="middle" align="center">181.33</td>
<td valign="middle" align="center">0.09</td>
<td valign="middle" align="center">0.09</td>
<td valign="middle" align="center">0.10</td>
<td valign="middle" align="center">5.52</td>
</tr>
<tr>
<td valign="middle" align="center">Median</td>
<td valign="middle" align="center">0.85</td>
<td valign="middle" align="center">0.54</td>
<td valign="middle" align="center">19.24</td>
<td valign="middle" align="center">660.00</td>
<td valign="middle" align="center">0.42</td>
<td valign="middle" align="center">0.63</td>
<td valign="middle" align="center">0.34</td>
<td valign="middle" align="center">18.10</td>
</tr>
<tr>
<td valign="middle" align="center">Maximum</td>
<td valign="middle" align="center">2.43</td>
<td valign="middle" align="center">0.82</td>
<td valign="middle" align="center">43.26</td>
<td valign="middle" align="center">1142.00</td>
<td valign="middle" align="center">0.65</td>
<td valign="middle" align="center">0.83</td>
<td valign="middle" align="center">0.55</td>
<td valign="middle" align="center">29.50</td>
</tr>
<tr>
<td valign="middle" align="center">Minimum</td>
<td valign="middle" align="center">0.05</td>
<td valign="middle" align="center">0.10</td>
<td valign="middle" align="center">2.03</td>
<td valign="middle" align="center">301.00</td>
<td valign="middle" align="center">0.20</td>
<td valign="middle" align="center">0.28</td>
<td valign="middle" align="center">0.03</td>
<td valign="middle" align="center">1.60</td>
</tr>
<tr>
<td valign="middle" align="center">Coefficient Variation</td>
<td valign="middle" align="center">0.50</td>
<td valign="middle" align="center">0.23</td>
<td valign="middle" align="center">0.43</td>
<td valign="middle" align="center">0.27</td>
<td valign="middle" align="center">0.20</td>
<td valign="middle" align="center">0.15</td>
<td valign="middle" align="center">0.31</td>
<td valign="middle" align="center">0.31</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="s3_2">
<label>3.2</label>
<title>Correlation between photosynthetic traits and raw hyperspectral reflectance, spectral prameters</title>
<p>In general, LCC and raw hyperspectral reflectance showed high negative correlation coefficients (r) in the visible spectrum (approximately 500 nm to 710 nm) and low correlation in the infrared region (approximately 760 nm to 1000 nm). The r value increased and reached a maximum in 500-600nm, decreased sharply in 680nm and then continue to increase in 700nm (<xref ref-type="fig" rid="f4">
<bold>Figure&#xa0;4</bold>
</xref>). Different datasets from various canopy layers had a significant impact on the correlation between LCC and raw reflectance. |r| with all data was the highest and the maximum was 0.57 in 573nm. The second was the middle layer and the maximum value was 0.38 in 569nm. Upper layer had the lowest correlation with the highest |r| value of 0.19 (<xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary Figure S1</bold>
</xref>).</p>
<fig id="f4" position="float">
<label>Figure&#xa0;4</label>
<caption>
<p>Correlation coefficients between LCC, NPQ, Fv&#x2019;/Fm&#x2019;, ETRmax, Fm&#x2019;, qL, qP, Y(II), ERT and hyperspectral parameters.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fpls-16-1520304-g004.tif"/>
</fig>
<p>Similarly, ChlF parameters exhibited a negative correlation with hyperspectral reflectance within the visible spectrum. Specifically, for NPQ, the highest absolute correlation coefficient (|r| &gt; 0.17) was observed in the wavelength range of 400&#x2013;550 nm (<xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary Figure S2a</bold>
</xref>). For Fv&#x2019;/Fm&#x2019;, |r| values exceeded 0.25 in the range of 574&#x2013;636 nm, with a distinct peak at 617 nm (r = - 0.29) (<xref ref-type="fig" rid="f5">
<bold>Figure&#xa0;5b</bold>
</xref>). For ETRmax, |r| values greater than 0.3 were detected in the range of 492&#x2013;634 nm, accompanied by a peak in the range of 700&#x2013;709 nm (|r| &gt; 0.35) (<xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary Figure S2c</bold>
</xref>). For Y(II) and ETR, |r| values exceeded 0.2 in the range of 330&#x2013;638 nm, with a similar peak observed in the range of 694&#x2013;714 nm, consistent with the trend observed for ETRmax (<xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary Figures S2g, h</bold>
</xref>). In contrast, qL and qP showed relatively low correlations with raw hyperspectral reflectance, with |r| values exceeding 0.1 only in the ranges of 736&#x2013;1075 nm and 325&#x2013;506 nm, respectively (<xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary Figures S2e, f</bold>
</xref>).</p>
<fig id="f5" position="float">
<label>Figure&#xa0;5</label>
<caption>
<p>Comparison between the mean spectral reflectance and absorptance at 400&#x2013;1100 nm for each of different water stress from day 3 to day 17. <bold>(a&#x2013;c)</bold> represent upper layer, middle layer and lower layer.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fpls-16-1520304-g005.tif"/>
</fig>
<p>We also analyzed the correlation between LCC, NPQ, Fv&#x2019;/Fm&#x2019;, ETRmax, Fm&#x2019;, qL, qP, Y(II), ERT and hyperspectral parameters, which were presented in <xref ref-type="fig" rid="f4">
<bold>Figure&#xa0;4</bold>
</xref>. LCC had the strongest positive correlation with GNDVI and GNDVIhyper1 and the highest r value of 0.6785; mSR_705 was the most relevant to ERT, Y(II), Fv&#x2019;/Fm&#x2019; and ETRmax the highest r value of 0.3652, 0.3623, 0.4138 and 0.4289, respectively. qL and qP had lower relation with hyperspectral parameters and the highest r value was 0.1629 and -0.1919 in CAR_green and LCI. Considered the correaltion between all photosynthetic traits and hyperspectral parameters, we selected the top 22 hyperspectral parameters which were mSR_705, CAR_green, SR(735/720), VOG1, Datt1, SR(750/710), RENDVI, RE_NDVI, Carte4, SR(750/700), SR(752/690), Datt3, NDVI705, VOG2, PERVI, Datt2, VOG3, MTCI, TCARI, NPCI, OSAVI2 and GNDVIhyper1. And we tracked the drought by using these 22 hyperspectral parameters.</p>
</sec>
<sec id="s3_3">
<label>3.3</label>
<title>Variation in leaf reflectance spectra for drought and tracking of leaf hyperspectral reflectance to drought</title>
<p>Water stress caused continuous and dynamic changes of the mean spectral reflectance and absorptance over time. From day 3 to day 17, two band range including 540-560nm and 750-1100nm were found to distinguish the different water stress whatever the leaves were in upper layer, middle layer or lower layer (<xref ref-type="fig" rid="f5">
<bold>Figures&#xa0;5a&#x2013;c</bold>
</xref>).</p>
<p>Most vegetation indices decreased with drought and increased after re-watering expect for VOG2, VOG3, and NPCI (<xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary Table S1</bold>
</xref>). After suffering from a 4-day drought, mSR_705, CAR_green, Datt1, Datt2, Datt3, SR(750/700), NPCI, and GNDVIhyper1 present decreased significantly comparing to day 3. SR(752/690) was the most sensitive to drought and present obvious decrease in day 5. VOG1, MTCI and OSAVI2 began to decrease significantly in day 8. SR(735/720) and NDVI705 decreased in day 10. In day 12, almost all the vegetation index reached the minimum value. But SR(752/690) was in day 9 and mSR_705, CAR_green, Datt1, Datt2, Datt3, SR(750/700), NPCI, and GNDVIhyper1 was in day 10 (<xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary Table S1</bold>
</xref>).</p>
</sec>
<sec id="s3_4">
<label>3.4</label>
<title>Parameter selection</title>
<p>
<xref ref-type="fig" rid="f6">
<bold>Figure&#xa0;6</bold>
</xref> showed that ten sensitive hyperspectral parameters for LCC estimation were ranked by importance to identify the top two parameters for different layers. Those were NDCI and GRVI for all data, Carte5 and OSAVI2 for upper layer, RENDVI and VOG2 for middle layer, CAR_green and SR (800, 680) for lower layer, respectively. These hyperspectral parameters were selected for estimating LCC.</p>
<fig id="f6" position="float">
<label>Figure&#xa0;6</label>
<caption>
<p>Ranking the importance of 10 sensitive hyperspectral parameters. <bold>(a-d)</bold> indicated all LCC, LCC of upper layer, LCC of middle layer and LCC of lower layer.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fpls-16-1520304-g006.tif"/>
</fig>
<p>
<xref ref-type="fig" rid="f7">
<bold>Figure&#xa0;7</bold>
</xref> indicated the ten sensitive hyperspectral parameters of ChlF estimation were ranked according to importance. The top two parameters for NPQ, Fv&#x2019;/Fm&#x2019;, ETRmax, Fm&#x2019;, qL, qP, Y(II) and ETR were TCARI2 and CAR_green, ARI1 and NPCI, CAR_green and mSR_705, PRI and SIPI3, PRI and NCPI, ARI1 and SR(440/690), mSR_705 and CAR_green, mSR_705 and CAR_green, respectively.</p>
<fig id="f7" position="float">
<label>Figure&#xa0;7</label>
<caption>
<p>Ranking the importance of 10 sensitive hyperspectral parameters. <bold>(a&#x2013;h)</bold> were NPQ, Fv&#x2019;/Fm&#x2019;, ETRmax, Fm&#x2019;, qL, qP, Y(II) and ETR respectively.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fpls-16-1520304-g007.tif"/>
</fig>
</sec>
<sec id="s3_5">
<label>3.5</label>
<title>Multivariate linear regression for estimating LCC of <italic>Rhamnus leptophylla</italic>
</title>
<p>According to the importance ranking in <xref ref-type="fig" rid="f6">
<bold>Figure&#xa0;6</bold>
</xref>, the top five sensitive parameters were selected for MLR models. The R<sup>2</sup> and RMSE were 0.505 and 21.95 for all data, 0.013 and 12.78 for upper layer, 0.126 and 12.10 for middle layer, 0.00 and 17.89 for lower layer. And the highest R<sup>2</sup> was only 0.505 (<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>Performance of MLR for estimating LCC by using different data.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" align="center"/>
<th valign="middle" align="center">Models</th>
<th valign="middle" align="center">R<sup>2</sup>
</th>
<th valign="middle" align="center">RMSE</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="middle" align="center">All data</td>
<td valign="middle" align="left">y=0.816&#xa0;+&#xa0;26.433&#xd7;<italic>x<sub>1</sub>
</italic>+1.670&#xd7;<italic>x<sub>2</sub>
</italic>+7.184&#xd7;<italic>x<sub>3</sub>
</italic>-18.214&#xd7;<italic>x<sub>4</sub>
</italic>+20.324&#xd7;<italic>x<sub>5</sub>
</italic>
</td>
<td valign="middle" align="center">0.505</td>
<td valign="middle" align="center">21.95</td>
</tr>
<tr>
<td valign="middle" align="center">Upper layer</td>
<td valign="middle" align="left">y=68.684-20.275&#xd7;<italic>x<sub>1</sub>
</italic>-25.029&#xd7;<italic>x<sub>2</sub>
</italic>+7.185&#xd7;<italic>x<sub>3</sub>
</italic>-17.043&#xd7;<italic>x<sub>4</sub>
</italic>-0.513&#xd7;<italic>x<sub>5</sub>
</italic>
</td>
<td valign="middle" align="center">0.013</td>
<td valign="middle" align="center">12.78</td>
</tr>
<tr>
<td valign="middle" align="center">Middle layer</td>
<td valign="middle" align="left">y=38.062-9.402&#xd7;<italic>x<sub>1</sub>
</italic>+3.945&#xd7;<italic>x<sub>2</sub>
</italic>-8.231&#xd7;<italic>x<sub>3</sub>
</italic>-2.687&#xd7;<italic>x<sub>4</sub>
</italic>-49.215&#xd7;<italic>x<sub>5</sub>
</italic>
</td>
<td valign="middle" align="center">0.126</td>
<td valign="middle" align="center">12.10</td>
</tr>
<tr>
<td valign="middle" align="center">Lower layer</td>
<td valign="middle" align="left">y=20.306-0.686&#xd7;<italic>x<sub>1</sub>
</italic>+3.776&#xd7;<italic>x<sub>2</sub>
</italic>+52.041&#xd7;<italic>x<sub>3</sub>
</italic>-0.372&#xd7;<italic>x<sub>4</sub>
</italic>-41.383&#xd7;<italic>x<sub>5</sub>
</italic>
</td>
<td valign="middle" align="center">0.000</td>
<td valign="middle" align="center">17.89</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>
<italic>x<sub>1</sub>
</italic>, <italic>x<sub>2</sub>
</italic>, and <italic>x<sub>3</sub>
</italic> represented the parameters of the best-fitting model. For all data, <italic>x<sub>1</sub>
</italic>, <italic>x<sub>2</sub>
</italic>, <italic>x<sub>3</sub>, x<sub>4</sub>
</italic>and <italic>x<sub>5</sub>
</italic> were NDCI, GRVI, R800, RENDVI, Datt1; For upper layer, <italic>x<sub>1</sub>
</italic>, <italic>x<sub>2</sub>
</italic>, <italic>x<sub>3</sub>, x<sub>4</sub>
</italic>and <italic>x<sub>5</sub>
</italic> were Carte5, OSAVI2, SR(700, 670), Carte3, mNDVI705; For middle layer, <italic>x<sub>1</sub>
</italic>, <italic>x<sub>2</sub>
</italic>, <italic>x<sub>3</sub>, x<sub>4</sub>
</italic>and <italic>x<sub>5</sub>
</italic> were NDVI, CI_green, TCARI/OSAVI, SR(750, 550), VOG2; For lower layer, <italic>x<sub>1</sub>
</italic>, <italic>x<sub>2</sub>
</italic>, <italic>x<sub>3</sub>, x<sub>4</sub>
</italic>and <italic>x<sub>5</sub>
</italic> were SR(800, 680), RENDVI, DCI, CAR_green, GNDVIhyper2.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>Overall, the MLR presented to be very weak in estimating ChlF parameters of <italic>Rhamnus leptophylla</italic> (<xref ref-type="table" rid="T5">
<bold>Table&#xa0;5</bold>
</xref>). The R<sup>2</sup> of NPQ, Fv&#x2019;/Fm&#x2019;, ETRmax, Fm&#x2019;, qL, qP, Y(II) and ETR was 0.055, 0.208, 0.065, 0.134, 0.050, 0.008, 0.142, and 0.133 respectively.</p>
<table-wrap id="T5" position="float">
<label>Table&#xa0;5</label>
<caption>
<p>Performance of MLR for estimating Chlorophyll fluorescence parameters.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" align="center"/>
<th valign="middle" align="center">models</th>
<th valign="middle" align="center">R<sup>2</sup>
</th>
<th valign="middle" align="center">RMSE</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="middle" align="center">NPQ</td>
<td valign="middle" align="center">y=0.938-0.091&#xd7;<italic>x<sub>1</sub>
</italic>-0.091&#xd7;<italic>x<sub>2</sub>
</italic>+4.388&#xd7;<italic>x<sub>3</sub>
</italic>+2.664&#xd7;<italic>x<sub>4</sub>
</italic>-0.930&#xd7;<italic>x<sub>5</sub>
</italic>
</td>
<td valign="middle" align="center">0.055</td>
<td valign="middle" align="center">0.217</td>
</tr>
<tr>
<td valign="middle" align="center">Fv&#x2019;/Fm&#x2019;</td>
<td valign="middle" align="center">y=0.530-0.022&#xd7;<italic>x<sub>1</sub>
</italic>+0.353&#xd7;<italic>x<sub>2</sub>
</italic>-0.022&#xd7;<italic>x<sub>3</sub>
</italic>+0.018&#xd7;<italic>x<sub>4</sub>
</italic>-0.003&#xd7;<italic>x<sub>5</sub>
</italic>
</td>
<td valign="middle" align="center">0.208</td>
<td valign="middle" align="center">0.011</td>
</tr>
<tr>
<td valign="middle" align="center">ETR<sub>max</sub>
</td>
<td valign="middle" align="center">y=6.342&#xa0;+&#xa0;12.718&#xd7;<italic>x<sub>1</sub>
</italic>+2.293&#xd7;<italic>x<sub>2</sub>
</italic>-4.172&#xd7;<italic>x<sub>3</sub>
</italic>+3.285&#xd7;<italic>x<sub>4</sub>
</italic>-2.139&#xd7;<italic>x<sub>5</sub>
</italic>
</td>
<td valign="middle" align="center">0.065</td>
<td valign="middle" align="center">77.83</td>
</tr>
<tr>
<td valign="middle" align="center">Fm&#x2019;</td>
<td valign="middle" align="center">y=-331.799-3875.452&#xd7;<italic>x<sub>1</sub>
</italic>-241.854&#xd7;<italic>x<sub>2</sub>
</italic>-0.555&#xd7;<italic>x<sub>3</sub>
</italic>+ 3.932&#xd7;<italic>x<sub>4+</sub>
</italic>1069.851&#xd7;<italic>x<sub>5</sub>
</italic>
</td>
<td valign="middle" align="center">0.134</td>
<td valign="middle" align="center">33250.991</td>
</tr>
<tr>
<td valign="middle" align="center">qL</td>
<td valign="middle" align="center">y=0.419&#xa0;+&#xa0;0.203&#xd7;<italic>x<sub>1</sub>
</italic>-0.291&#xd7;<italic>x<sub>2</sub>
</italic>-0.006&#xd7;<italic>x<sub>3</sub>
</italic> +2.079&#xd7;<italic>x<sub>4</sub>
</italic>-1.401&#xd7;<italic>x<sub>5</sub>
</italic>
</td>
<td valign="middle" align="center">0.050</td>
<td valign="middle" align="center">0.006</td>
</tr>
<tr>
<td valign="middle" align="center">qP</td>
<td valign="middle" align="center">y=-0.160-0.008&#xd7;<italic>x<sub>1</sub>
</italic>+ 0.054&#xd7;<italic>x<sub>2+</sub>
</italic>0.655&#xd7;<italic>x<sub>3</sub>
</italic>-0.054&#xd7;<italic>x<sub>4+</sub>
</italic>0.038&#xd7;<italic>x<sub>5</sub>
</italic>
</td>
<td valign="middle" align="center">0.008</td>
<td valign="middle" align="center">0.008</td>
</tr>
<tr>
<td valign="middle" align="center">Y(II)</td>
<td valign="middle" align="center">y=-0.431&#xa0;+&#xa0;0.026&#xd7;<italic>x<sub>1</sub>
</italic>-0.725&#xd7;<italic>x<sub>2</sub>
</italic>-0.028&#xd7;<italic>x<sub>3</sub>
</italic>+0.137&#xd7;<italic>x<sub>4+</sub>
</italic>0.630&#xd7;<italic>x<sub>5</sub>
</italic>
</td>
<td valign="middle" align="center">0.142</td>
<td valign="middle" align="center">0.01</td>
</tr>
<tr>
<td valign="middle" align="center">ETR</td>
<td valign="middle" align="center">y=-57.013-2.17&#xd7;<italic>x<sub>1+</sub>
</italic>2.149&#xd7;<italic>x<sub>2</sub>
</italic>-1.515&#xd7;<italic>x<sub>3</sub>
</italic>+72.218&#xd7;<italic>x<sub>4</sub>
</italic>-33.321&#xd7;<italic>x<sub>5</sub>
</italic>
</td>
<td valign="middle" align="center">0.133</td>
<td valign="middle" align="center">26.936</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>
<italic>x<sub>1</sub>
</italic>, <italic>x<sub>2</sub>
</italic>, and <italic>x<sub>3</sub>
</italic> represented the parameters of the best-fitting model. For NPQ, <italic>x<sub>1</sub>
</italic>, <italic>x<sub>2</sub>
</italic>, <italic>x<sub>3</sub>, x<sub>4</sub>
</italic>and <italic>x<sub>5</sub>
</italic> were TCARI2,CAR_green,RVSI, MTVI1,MCARI; For Fv&#x2019;/Fm&#x2019;, <italic>x<sub>1</sub>
</italic>, <italic>x<sub>2</sub>
</italic>, <italic>x<sub>3</sub>, x<sub>4</sub>
</italic>and <italic>x<sub>5</sub>
</italic> were ARI1, NPCI, ARI, CAR_green, mSR_705; For Fm&#x2019;, x1, x2, x3, x4 and x5 were PRI, SR(440/690), Carte1, CAR_green and SIPI3; For qL, x1, x2, x3, x4 and x5 were PRI, NPCI, LCI, R800, SPVI2; For qP, x1, x2, x3, x4 and x5 were PSRI, SR(440/690), ARI1, Carte1; For Y(II), x1, x2, x3, x4 and x5 were CAR_green, RENDVI, SR(752/690), mSR_705, RVI; For ETR, x1, x2, x3, x4 and x5 were mSR705, CAR_green, SR(752/690), RVI, RENDVI.</p>
</fn>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="s3_6">
<label>3.6</label>
<title>Machine-learning algorithms for predicting leaf chlorophyll content</title>
<p>A comparison of the three machine learning algorithms revealed that RF algorithm exhibited the best regression performance, characterized by the highest R&#xb2; and the lowest RMSE, rRMSE and Bias. For LCC, the R<sup>2</sup> value of RF was 0.895 for all samples, 0.697 for upper layer, 0.902 for middle layer and 0.795 for lower layer (<xref ref-type="table" rid="T6">
<bold>Table&#xa0;6</bold>
</xref>); and the KNN were 0.608 for all leaves, 0.110 for upper layer, 0.243 for middle layer, 0.00 for lower layer; and the SVR were 0.615 for all leaves, 0.267 for upper layer, 0.145 for lower layer, and 0.00 for lower layer, respectively (<xref ref-type="table" rid="T6">
<bold>Table&#xa0;6</bold>
</xref>). RF not only obtained highest R<sup>2</sup> but also lowest RMSE, r RMSE and Bias whatever the data was acquired of all leaves, upper layer, middle layer or lower layer. KNN and SVM presented to be weaker in estimating LCC comparing to RF.</p>
<table-wrap id="T6" position="float">
<label>Table&#xa0;6</label>
<caption>
<p>Performance of different machine-learning algorithms employed for the LCC estimation.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" align="center"/>
<th valign="middle" align="center"/>
<th valign="middle" align="center">RF</th>
<th valign="middle" align="center">KNN</th>
<th valign="middle" align="center">SVM</th>
<th valign="middle" align="center">Parameters</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="middle" rowspan="4" align="center">All leaves</td>
<td valign="middle" align="center">R<sup>2</sup>
</td>
<td valign="middle" align="center">0.895</td>
<td valign="middle" align="center">0.608</td>
<td valign="middle" align="center">0.615</td>
<td valign="middle" rowspan="4" align="center">NDCI, GRVI, R<sub>800</sub>, RENDVI, Datt1</td>
</tr>
<tr>
<td valign="middle" align="center">RMSE</td>
<td valign="middle" align="center">2.155</td>
<td valign="middle" align="center">4.012</td>
<td valign="middle" align="center">4.131</td>
</tr>
<tr>
<td valign="top" align="center">rRMSE</td>
<td valign="top" align="center">0.066</td>
<td valign="top" align="center">0.124</td>
<td valign="top" align="center">0.130</td>
</tr>
<tr>
<td valign="middle" align="center">Bias</td>
<td valign="top" align="center">-0.057</td>
<td valign="top" align="center">0.034</td>
<td valign="top" align="center">-0.028</td>
</tr>
<tr>
<td valign="middle" rowspan="4" align="center">Upper layer</td>
<td valign="middle" align="center">R<sup>2</sup>
</td>
<td valign="middle" align="center">0.697</td>
<td valign="middle" align="center">0.110</td>
<td valign="middle" align="center">0.267</td>
<td valign="middle" rowspan="4" align="center">Carte5, OSAVI2, SR(700, 670), Carte3, mNDVI705</td>
</tr>
<tr>
<td valign="middle" align="center">RMSE</td>
<td valign="middle" align="center">1.982</td>
<td valign="middle" align="center">3.361</td>
<td valign="middle" align="center">3.079</td>
</tr>
<tr>
<td valign="top" align="center">rRMSE</td>
<td valign="top" align="center">0.051</td>
<td valign="top" align="center">0.087</td>
<td valign="top" align="center">0.080</td>
</tr>
<tr>
<td valign="middle" align="center">Bias</td>
<td valign="top" align="center">-0.016</td>
<td valign="top" align="center">0.210</td>
<td valign="top" align="center">-0.400</td>
</tr>
<tr>
<td valign="middle" rowspan="4" align="center">Middle layer</td>
<td valign="middle" align="center">R<sup>2</sup>
</td>
<td valign="middle" align="center">0.902</td>
<td valign="middle" align="center">0.243</td>
<td valign="middle" align="center">0.145</td>
<td valign="middle" rowspan="4" align="center">NDCI, RENDVI, TCARI/OSAVI, Datt1, VOG2</td>
</tr>
<tr>
<td valign="middle" align="center">RMSE</td>
<td valign="middle" align="center">1.213</td>
<td valign="middle" align="center">3.295</td>
<td valign="middle" align="center">3.441</td>
</tr>
<tr>
<td valign="top" align="center">rRMSE</td>
<td valign="top" align="center">0.036</td>
<td valign="top" align="center">0.103</td>
<td valign="top" align="center">0.107</td>
</tr>
<tr>
<td valign="middle" align="center">Bias</td>
<td valign="top" align="center">0.081</td>
<td valign="top" align="center">0.094</td>
<td valign="top" align="center">0.152</td>
</tr>
<tr>
<td valign="middle" rowspan="4" align="center">Lower layer</td>
<td valign="middle" align="center">R<sup>2</sup>
</td>
<td valign="middle" align="center">0.795</td>
<td valign="middle" align="center">0.00</td>
<td valign="middle" align="center">0.00</td>
<td valign="middle" rowspan="4" align="center">SR(800, 680), RENDVI, DCI, CAR_green, GNDVIhyper2</td>
</tr>
<tr>
<td valign="middle" align="center">RMSE</td>
<td valign="middle" align="center">1.859</td>
<td valign="middle" align="center">4.218</td>
<td valign="middle" align="center">4.139</td>
</tr>
<tr>
<td valign="top" align="center">rRMSE</td>
<td valign="top" align="center">0.069</td>
<td valign="top" align="center">0.156</td>
<td valign="top" align="center">0.153</td>
</tr>
<tr>
<td valign="middle" align="center">Bias</td>
<td valign="top" align="center">0.598</td>
<td valign="top" align="center">-0.234</td>
<td valign="top" align="center">0.138</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>To ascertain the relationship between observed and predicted LCC, the regression values were plotted (<xref ref-type="fig" rid="f8">
<bold>Figures&#xa0;8</bold>
</xref>&#x2013;<xref ref-type="fig" rid="f10">
<bold>10</bold>
</xref>). For all leaves, RF, KNN and SVM presented similar trends to a 1:1 relationship (<xref ref-type="fig" rid="f8">
<bold>Figures&#xa0;8a</bold>
</xref>, <xref ref-type="fig" rid="f9">
<bold>9a</bold>
</xref>, <xref ref-type="fig" rid="f10">
<bold>10a</bold>
</xref>). For upper, middle and lower layer, KNN and SVM did not show a similarity to a 1:1 relationship (dashed-line&#x2014;<xref ref-type="fig" rid="f8">
<bold>Figures&#xa0;8b&#x2013;d</bold>
</xref>, <xref ref-type="fig" rid="f9">
<bold>Figures&#xa0;9b&#x2013;d</bold>
</xref>, <xref ref-type="fig" rid="f10">
<bold>Figures&#xa0;10b&#x2013;d</bold>
</xref>). Predictions of RF were comparatively well related to the observed LCC for all leaves, upper layer, middle layer and lower layer.</p>
<fig id="f8" position="float">
<label>Figure&#xa0;8</label>
<caption>
<p>Estimated and measured along the 1:1 line of the RF model. <bold>(a)</bold>, <bold>(b)</bold>, <bold>(c)</bold>, and <bold>(d)</bold> were all samples, upper layer, middle layer and lower layer, respectively.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fpls-16-1520304-g008.tif"/>
</fig>
<fig id="f9" position="float">
<label>Figure&#xa0;9</label>
<caption>
<p>Estimated and measured along the 1:1 line of the KNN model. <bold>(a)</bold>, <bold>(b)</bold>, <bold>(c)</bold>, and <bold>(d)</bold> were all samples, upper layer, middle layer and lower layer, respectively.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fpls-16-1520304-g009.tif"/>
</fig>
<fig id="f10" position="float">
<label>Figure&#xa0;10</label>
<caption>
<p>Estimated and measured along the 1:1 line of the SVM model. <bold>(a)</bold>, <bold>(b)</bold>, <bold>(c)</bold> and <bold>(d)</bold> were all samples, upper layer, middle layer and lower layer, respectively.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fpls-16-1520304-g010.tif"/>
</fig>
</sec>
<sec id="s3_7">
<label>3.7</label>
<title>Machine-learning algorithms for predicting chlorophyll fluorescence parameters</title>
<p>Three machine-learning algorithms were also used for estimating the ChlF parameters including NPQ, Fv&#x2019;/Fm&#x2019;, ETRmax, qL, qP, Y(II) and ETR. Similarly, RF performed to be the best, achieving the highest R<sup>2</sup> of 0.854, 0.610, 0.878, 0.676, 0.604, 0.731,0.879,0.740 for NPQ, Fv&#x2019;/Fm&#x2019;, ETRmax, Fm&#x2019;, qL, qP, Y(II) and ETR, respectively. Additionally, it exhibited the lowest RMSE, rRMSE, and bias when compared to other algorithms (<xref ref-type="table" rid="T7">
<bold>Table&#xa0;7</bold>
</xref>). R<sup>2</sup> of KNN were 0.011 for NPQ, 0.202 for Fv&#x2019;/Fm&#x2019;, 0.112 for ETRmax, 0.178 for Fm&#x2019;, 0.156 for qL, 0.118 for qP, 0.204 for Y(II), 0.072 for ERT; and the R<sup>2</sup> of SVM were 0.057 for NPQ, 0.199 for Fv&#x2019;/Fm&#x2019;, 0.022 for ETRmax, 0.240 for Fm&#x2019;, 0.195 for qL, 0.233 for qP, 0.109 for Y(II), 0.210 for ERT, respectively. The regression analysis based on RF algorithm between the observed and predicted ChlF parameters were plotted in <xref ref-type="fig" rid="f11">
<bold>Figure&#xa0;11</bold>
</xref>.</p>
<table-wrap id="T7" position="float">
<label>Table&#xa0;7</label>
<caption>
<p>Performance of different machine-learning algorithms employed for the estimation of Chlorophyll fluorescence parameters.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" align="center"/>
<th valign="middle" align="center"/>
<th valign="middle" align="center">RF</th>
<th valign="middle" align="center">KNN</th>
<th valign="middle" align="center">SVM</th>
<th valign="middle" align="center">Parameters</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="middle" rowspan="4" align="center">NPQ</td>
<td valign="middle" align="center">R<sup>2</sup>
</td>
<td valign="middle" align="center">0.854</td>
<td valign="middle" align="center">0.011</td>
<td valign="middle" align="center">0.057</td>
<td valign="middle" rowspan="4" align="center">TCARI2,CAR_green,RVSI, MTVI1,MCARI</td>
</tr>
<tr>
<td valign="middle" align="center">RMSE</td>
<td valign="middle" align="center">0.183</td>
<td valign="middle" align="center">0.461</td>
<td valign="middle" align="center">0.466</td>
</tr>
<tr>
<td valign="middle" align="center">rRMSE</td>
<td valign="middle" align="center">0.206</td>
<td valign="middle" align="center">0.511</td>
<td valign="middle" align="center">0.053</td>
</tr>
<tr>
<td valign="middle" align="center">Bias</td>
<td valign="middle" align="center">0.007</td>
<td valign="middle" align="center">-0.034</td>
<td valign="middle" align="center">-0.024</td>
</tr>
<tr>
<td valign="middle" rowspan="4" align="center">Fv&#x2019;/Fm&#x2019;</td>
<td valign="middle" align="center">R<sup>2</sup>
</td>
<td valign="middle" align="center">0.610</td>
<td valign="middle" align="center">0.202</td>
<td valign="middle" align="center">0.199</td>
<td valign="middle" rowspan="4" align="center">ARI1,NPCI,ARI,CAR_green, mSR_705</td>
</tr>
<tr>
<td valign="middle" align="center">RMSE</td>
<td valign="middle" align="center">0.074</td>
<td valign="middle" align="center">0.103</td>
<td valign="middle" align="center">0.106</td>
</tr>
<tr>
<td valign="middle" align="center">rRMSE</td>
<td valign="middle" align="center">0.141</td>
<td valign="middle" align="center">0.192</td>
<td valign="middle" align="center">0.202</td>
</tr>
<tr>
<td valign="middle" align="center">Bias</td>
<td valign="middle" align="center">0.006</td>
<td valign="middle" align="center">0.001</td>
<td valign="middle" align="center">0.014</td>
</tr>
<tr>
<td valign="middle" rowspan="4" align="center">ETR<sub>max</sub>
</td>
<td valign="middle" align="center">R<sup>2</sup>
</td>
<td valign="middle" align="center">0.878</td>
<td valign="middle" align="center">0.112</td>
<td valign="middle" align="center">0.022</td>
<td valign="middle" rowspan="4" align="center">mSR_705, CAR_green, TCARI/OSAVI, VOG1,SR(752/690)</td>
</tr>
<tr>
<td valign="middle" align="center">RMSE</td>
<td valign="middle" align="center">3.185</td>
<td valign="middle" align="center">8.784</td>
<td valign="middle" align="center">9.021</td>
</tr>
<tr>
<td valign="middle" align="center">rRMSE</td>
<td valign="middle" align="center">0.147</td>
<td valign="middle" align="center">0.418</td>
<td valign="middle" align="center">0.416</td>
</tr>
<tr>
<td valign="middle" align="center">Bias</td>
<td valign="middle" align="center">-0.143</td>
<td valign="middle" align="center">-1.099</td>
<td valign="middle" align="center">-2.075</td>
</tr>
<tr>
<td valign="middle" rowspan="4" align="center">Fm&#x2019;</td>
<td valign="middle" align="center">R<sup>2</sup>
</td>
<td valign="middle" align="center">0.676</td>
<td valign="middle" align="center">0.178</td>
<td valign="middle" align="center">0.240</td>
<td valign="middle" rowspan="4" align="center">PRI, SR(440/690), Carte1, CAR_green, SIPI3</td>
</tr>
<tr>
<td valign="middle" align="center">RMSE</td>
<td valign="middle" align="center">111.613</td>
<td valign="middle" align="center">183.850</td>
<td valign="middle" align="center">188.851</td>
</tr>
<tr>
<td valign="middle" align="center">rRMSE</td>
<td valign="middle" align="center">0.152</td>
<td valign="middle" align="center">0.264</td>
<td valign="middle" align="center">0.257</td>
</tr>
<tr>
<td valign="middle" align="center">Bias</td>
<td valign="middle" align="center">-10.657</td>
<td valign="middle" align="center">-17.870</td>
<td valign="middle" align="center">-88.947</td>
</tr>
<tr>
<td valign="middle" rowspan="4" align="center">qL</td>
<td valign="middle" align="center">R<sup>2</sup>
</td>
<td valign="middle" align="center">0.604</td>
<td valign="middle" align="center">0.156</td>
<td valign="middle" align="center">0.195</td>
<td valign="middle" rowspan="4" align="center">PRI, NPCI, LCI, R800, SPVI2</td>
</tr>
<tr>
<td valign="middle" align="center">RMSE</td>
<td valign="middle" align="center">0.050</td>
<td valign="middle" align="center">0.078</td>
<td valign="middle" align="center">0.082</td>
</tr>
<tr>
<td valign="middle" align="center">rRMSE</td>
<td valign="middle" align="center">0.121</td>
<td valign="middle" align="center">0.186</td>
<td valign="middle" align="center">0.198</td>
</tr>
<tr>
<td valign="middle" align="center">Bias</td>
<td valign="middle" align="center">0.001</td>
<td valign="middle" align="center">0.006</td>
<td valign="middle" align="center">0.002</td>
</tr>
<tr>
<td valign="middle" rowspan="4" align="center">qP</td>
<td valign="middle" align="center">R<sup>2</sup>
</td>
<td valign="middle" align="center">0.731</td>
<td valign="middle" align="center">0.118</td>
<td valign="middle" align="center">0.233</td>
<td valign="middle" rowspan="4" align="center">PSRI, SR(440/690), ARI1, Carte1</td>
</tr>
<tr>
<td valign="middle" align="center">RMSE</td>
<td valign="middle" align="center">0.471</td>
<td valign="middle" align="center">0.101</td>
<td valign="middle" align="center">0.092</td>
</tr>
<tr>
<td valign="middle" align="center">rRMSE</td>
<td valign="middle" align="center">0.076</td>
<td valign="middle" align="center">0.165</td>
<td valign="middle" align="center">0.150</td>
</tr>
<tr>
<td valign="middle" align="center">Bias</td>
<td valign="middle" align="center">-0.001</td>
<td valign="middle" align="center">0.015</td>
<td valign="middle" align="center">0.008</td>
</tr>
<tr>
<td valign="middle" rowspan="4" align="center">Y(II)</td>
<td valign="middle" align="center">R<sup>2</sup>
</td>
<td valign="middle" align="center">0.879</td>
<td valign="middle" align="center">0.204</td>
<td valign="middle" align="center">0.109</td>
<td valign="middle" rowspan="4" align="center">CAR_green, RENDVI, SR(752/690), mSR_705, RVI</td>
</tr>
<tr>
<td valign="middle" align="center">RMSE</td>
<td valign="middle" align="center">0.038</td>
<td valign="middle" align="center">0.108</td>
<td valign="middle" align="center">0.103</td>
</tr>
<tr>
<td valign="middle" align="center">rRMSE</td>
<td valign="middle" align="center">0.112</td>
<td valign="middle" align="center">0.324</td>
<td valign="middle" align="center">0.303</td>
</tr>
<tr>
<td valign="middle" align="center">Bias</td>
<td valign="middle" align="center">-0.002</td>
<td valign="middle" align="center">-0.002</td>
<td valign="middle" align="center">-0.011</td>
</tr>
<tr>
<td valign="middle" rowspan="4" align="center">ETR</td>
<td valign="middle" align="center">R<sup>2</sup>
</td>
<td valign="middle" align="center">0.740</td>
<td valign="middle" align="center">0.072</td>
<td valign="middle" align="center">0.210</td>
<td valign="middle" rowspan="4" align="center">mSR705, CAR_green, SR(752/690), RVI, RENDVI</td>
</tr>
<tr>
<td valign="middle" align="center">RMSE</td>
<td valign="middle" align="center">1.307</td>
<td valign="middle" align="center">5.337</td>
<td valign="middle" align="center">4.956</td>
</tr>
<tr>
<td valign="middle" align="center">rRMSE</td>
<td valign="middle" align="center">0.074</td>
<td valign="middle" align="center">0.303</td>
<td valign="middle" align="center">0.286</td>
</tr>
<tr>
<td valign="middle" align="center">Bias</td>
<td valign="middle" align="center">-0.017</td>
<td valign="middle" align="center">0.202</td>
<td valign="middle" align="center">0.265</td>
</tr>
</tbody>
</table>
</table-wrap>
<fig id="f11" position="float">
<label>Figure&#xa0;11</label>
<caption>
<p>Estimated and measured along the 1:1 line of the RF model. <bold>(a&#x2013;h)</bold> were NPQ, Fv&#x2019;/Fm&#x2019;, ETRmax, Fm&#x2019;, qL, qP, Y(II) and ETR respectively.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fpls-16-1520304-g011.tif"/>
</fig>
</sec>
</sec>
<sec id="s4" sec-type="discussion">
<label>4</label>
<title>Discussion</title>
<p>Climate change caused by global warming reduced soil moisture and resulting aggravated droughts (<xref ref-type="bibr" rid="B65">Trenberth et&#xa0;al., 2014</xref>; <xref ref-type="bibr" rid="B56">Samaniego et&#xa0;al., 2018</xref>). Drought resistance is a combination of physiological and biochemical adaptations that can be reflected in the plants&#x2019; spectral signature (<xref ref-type="fig" rid="f4">
<bold>Figure&#xa0;4</bold>
</xref> and <xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary Table S1</bold>
</xref>) (<xref ref-type="bibr" rid="B78">Zovko et&#xa0;al., 2019</xref>). It is important for mitigating the damage of drought by monitoring the effect of drought to plant with non-destructive and rapid way before symptoms can be seen with eye. Photosynthetic response to drought and its sensitivity to soil water deficit (<xref ref-type="fig" rid="f2">
<bold>Figures&#xa0;2</bold>
</xref>, <xref ref-type="fig" rid="f3">
<bold>3</bold>
</xref>) (<xref ref-type="bibr" rid="B77">Zhou et&#xa0;al., 2021</xref>). The spectral properties of plants, as a visual reflection of the chemical and physiological state of leaves, show high sensitivity to environmental changes (<xref ref-type="bibr" rid="B78">Zovko et&#xa0;al., 2019</xref>; <xref ref-type="bibr" rid="B75">Zhang et&#xa0;al., 2024</xref>). So, this study combined photosynthetic factor including LCC, ChlF and leaf hyperspectral reflectance of <italic>Rhamnus leptophylla</italic> which experienced 13 days drought and 3 days re-watering for attempting to track the physiological changes with hyperspectral reflectance and make models to monitoring these variations. <italic>Rhamnus leptophylla</italic> is a common shrub or small tree in the Three Gorges area and its assessment for monitoring of drought resistance decided due to its potential for side slope protection in fluctuation zone. It is urgent to quickly and accurately monitor the response of <italic>Rhamnus leptophylla</italic> to drought, as its ability to withstand drought and the mechanisms involved remain unknown.</p>
<p>Drought significantly can impact chlorophyll content and chlorophyll fluorescence in plants, leading to alterations in photosynthetic efficiency. Our results showed that LCC, Fv&#x2019;/Fm&#x2019;, ETRmax, Fm&#x2019;, qL, qP, Y(II) and ETR decreased with decreasing soil moisture content; NPQ increased firstly and then decreased as severe drought (<xref ref-type="fig" rid="f2">
<bold>Figures&#xa0;2</bold>
</xref>, <xref ref-type="fig" rid="f3">
<bold>3</bold>
</xref>). Because under drought conditions, reduced chlorophyll synthesis and closed stomata were contributed to lower chlorophyll concentrations. Fv&#x2019;/Fm&#x2019; represents the maximum photochemical efficiency of PSII under light adaptation, which can reflect the photosynthetic capacity of plants under light conditions., FV&#x2019;/FM&#x2019; tended to decrease under drought stress (<xref ref-type="fig" rid="f3">
<bold>Figure&#xa0;3b</bold>
</xref>). Drought stress can bring stomatal closure of plant leaves contributing to the reduction of intercellular CO<sub>2</sub> concentration, which makes the fixation of CO<sub>2</sub> in the dark reaction inhibited. Light response and electron transport chain of photosynthesis was also affected. This blocked state decreased the opening ratio of the PSII reaction center, which will decrease the value of Fv&#x2019;/Fm&#x2019;. ETRmax showed a decreasing trend with the aggravation of drought (<xref ref-type="fig" rid="f3">
<bold>Figure&#xa0;3c</bold>
</xref>). This was because that drought can damage electron transport chain in the photosynthetic system. <xref ref-type="bibr" rid="B54">Salvucci and Crafts-Brandner (2004)</xref> showed that drought stress significantly reduces the photosynthetic capacity of plants, including ETRmax.</p>
<p>There was a high negative correlation between the raw hyperspectral reflectance (green and red bands) and LCC in this study, which may be attributed to several physiological and spectral mechanisms inherent to plant leaves. These mechanisms are influenced by leaf structural characteristics and external environmental factors such as moisture conditions and soil nutrient (<xref ref-type="bibr" rid="B22">Gitelson and Merzlyak, 1997</xref>; <xref ref-type="bibr" rid="B58">Sims and Gamon, 2002</xref>; <xref ref-type="bibr" rid="B66">Ustin and Gamon, 2010</xref>). Leaf internal structure and water content significantly influence spectral reflectance. For instance, increased leaf thickness or lower water content may lead to an apparent negative correlation between hyperspectral bands and chlorophyll levels. Drought stress can modify the traditional correlation between chlorophyll content and hyperspectral reflectance. Changes in leaf structure and water content induced by drought can cause an overall shift in spectral characteristics, thereby leading to the negative relationship between LCC and reflectance (<xref ref-type="bibr" rid="B58">Sims and Gamon, 2002</xref>; <xref ref-type="bibr" rid="B35">Li et&#xa0;al., 2024b</xref>). The canopy layer exerts a remarkable influence on the LCC and its corresponding estimating accuracy. This conclusion is applicable to both seedlings and mature trees, regardless of the growth stage (<xref ref-type="bibr" rid="B77">Zhou et&#xa0;al., 2021</xref>; <xref ref-type="bibr" rid="B31">Li et&#xa0;al., 2023</xref>). These results may be contributed to leaves of different maturity level at distinct canopy levels. When leaves are confronted with drought stress, the responses of leaves with varying maturity levels to drought, which in turn results in diverse changes in chlorophyll content (<xref ref-type="table" rid="T2">
<bold>Table&#xa0;2</bold>
</xref>). Leaves at different levels respond differently to drought stress in terms of their spectral characteristics (<xref ref-type="fig" rid="f5">
<bold>Figure&#xa0;5</bold>
</xref>). NPQ was related with spectral reflectance in blue band (400-550nm), Fv&#x2019;/Fm&#x2019; was in green and red band(570-635nm) and ETRmax was in blue, green and red edge band (480-630nm, 690-715nm), respectively. That was because the chlorophyll absorption and reflection characteristics of light in this region are remarkable in visible light region. These results were similar to other studies which also revealed the utility of the visible light region for estimating photosynthetic characteristic. The green (500&#x2013;599 nm) and red (601&#x2013;696 nm) regions were selected for &#x424;F and qL, respectively (<xref ref-type="bibr" rid="B60">Song et&#xa0;al., 2024</xref>). 486 nm, 668 nm, 690 nm and725 nm were used for constructing new index for estimating Chlorophyll Fluorescence Parameters (<xref ref-type="bibr" rid="B76">Zheng et&#xa0;al., 2021</xref>). However, selection of hyperspectral band or hyperspectral parameters was uncertain and specific band for LCC or ChlF parameters was necessary to determine.</p>
<p>In this study, we established MLR and three machine learning models (RF, KNN and SVM) using field-measured hyperspectral data to estimate LCC and eight ChlF parameters. Our result indicated that RF performed to be the best in estimating LCC and ChlF (<xref ref-type="table" rid="T6">
<bold>Tables&#xa0;6</bold>
</xref>, <xref ref-type="fig" rid="f7">
<bold>7</bold>
</xref>). R<sup>2</sup> of 0.895, 0.854, 0.610, 0.878, 0.676, 0.604, 0.731,0.879,0.740 for LCC, NPQ, Fv&#x2019;/Fm&#x2019;, ETRmax, Fm&#x2019;, qL, qP, Y(II) and ETR, respectively (<xref ref-type="fig" rid="f11">
<bold>Figure&#xa0;11</bold>
</xref>). RF is composed of multiple trees trained through bagging and a random variable selection process. RF was proved to be robustness against outliers and noise (<xref ref-type="bibr" rid="B39">Maimaitijiang et&#xa0;al., 2020</xref>; <xref ref-type="bibr" rid="B30">Khruschev et&#xa0;al., 2022</xref>). Moreover, it is excellent in handle the substantial common multivariate collinearity inherent in the functional relationship between spectral variables and biophysical or biochemical parameters (<xref ref-type="bibr" rid="B36">Liang et&#xa0;al., 2016</xref>). RF as a supervised learning technique for regression has been already consistently reported to obtain high accuracy in estimating photosynthetic parameters (<xref ref-type="bibr" rid="B3">An et&#xa0;al., 2020</xref>; <xref ref-type="bibr" rid="B77">Zhou et&#xa0;al., 2021</xref>; <xref ref-type="bibr" rid="B31">Li et&#xa0;al., 2023</xref>; <xref ref-type="bibr" rid="B57">Shi et&#xa0;al., 2023</xref>). Canopy layer influenced the LCC and corresponding estimation accuracy and need to be considered seriously. This conclusion was indicated in photosynthesis and nutrients utility of citrus trees (<xref ref-type="bibr" rid="B77">Zhou et&#xa0;al., 2021</xref>; <xref ref-type="bibr" rid="B17">Dian et&#xa0;al., 2023</xref>; <xref ref-type="bibr" rid="B32">Li et&#xa0;al., 2024a</xref>).</p>
</sec>
<sec id="s5" sec-type="conclusions">
<label>5</label>
<title>Conclusions</title>
<p>Linking leaf hyperspectral reflectance and plant photosynthetic traits can achieve accurate and non-destructive drought monitoring before visible symptoms appeared in plants. In this study, photosynthetic traits including LCC, NPQ, Fv&#x2019;/Fm&#x2019;, ETRmax, Fm&#x2019;, qL, qP, Y(II) and ETR presented rapid decrease with reduced soil moisture. Chlorophyll fluorescence was more sensitive than LCC. The original reflectance and hyperspectral SVIs had high correlation with LCC and chlorophyll fluorescence parameters. Spectral bands in 540-560nm and 750-1100nm can distinguish different water stress. Selected hyperspectral SVIs including mSR_705, CAR_green, Datt1, Datt2, Datt3, SR(750/700), NPCI, and NDVI present can effectively track the water stress after plant experienced 6 days&#x2019; drought. SR(752/690) was the most sensitive to drought and present obvious decrease in day 4. Photosynthetic traits such as LCC, NPQ, Fv&#x2019;/Fm&#x2019;, ETRmax, Fm&#x2019;, qL, qP, Y(II) and ETR could be estimated with the highest precision by applying hyperspectral leaf reflectance and RF models compared to MLR, SVM and KNN. And the canopy layer should be considered when physiological factors were estimated. In short, hyperspectral reflectance was very effective in testing drought advanced by combining physiological traits. To our knowledge, this is one of the first applications of hyperspectral parameters as indicators for drought and input for the estimation of photosynthetic traits in <italic>Rhamnus leptophylla</italic> and provides a basis for expanding the applications to other observing platforms, such as unmanned aerial and satellite remote sensing.</p>
</sec>
</body>
<back>
<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>LL: Writing &#x2013; original draft, Writing &#x2013; review &amp; editing. GH: Writing &#x2013; original draft. JW: Resources, Writing &#x2013; original draft. YY: Investigation, Writing &#x2013; review &amp; editing. GZ: Investigation, Writing &#x2013; review &amp; editing. YS: Investigation, Writing &#x2013; review &amp; editing. XW: Formal analysis, Software, Writing &#x2013; review &amp;&#xa0;editing. HC: Formal analysis, Validation, Writing &#x2013; review &amp; editing. YW: Visualization, Writing &#x2013; review &amp; editing. DW: Conceptualization, Writing &#x2013; review &amp; editing, Funding acquisition, Supervision.</p>
</sec>
<sec id="s8" sec-type="funding-information">
<title>Funding</title>
<p>The author(s) declare that financial support was received for&#xa0;the research and/or publication of this article. This work was supported by the Ecological Environmental Protection Fund of China Three Gorges Corporation (WWKY-2020-0249) and the National Natural Science Foundation of China (U2240222).</p>
</sec>
<sec id="s9" sec-type="COI-statement">
<title>Conflict of interest</title>
<p>Authors LL, GH, JW, YY, GZ, YS, XW, HC, and DW were employed by the company China Three Gorges Corporation.</p>
<p>The remaining author declares that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec id="s10" sec-type="ai-statement">
<title>Generative AI statement</title>
<p>The author(s) declare that no Generative AI was used in the creation of this manuscript.</p>
</sec>
<sec id="s11" 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>
<sec id="s12" sec-type="supplementary-material">
<title>Supplementary material</title>
<p>The Supplementary Material for this article can be found online at: <ext-link ext-link-type="uri" xlink:href="https://www.frontiersin.org/articles/10.3389/fpls.2025.1520304/full#supplementary-material">https://www.frontiersin.org/articles/10.3389/fpls.2025.1520304/full#supplementary-material</ext-link>
</p>
<supplementary-material xlink:href="DataSheet1.docx" id="SM1" mimetype="application/vnd.openxmlformats-officedocument.wordprocessingml.document"/>
<supplementary-material xlink:href="DataSheet2.docx" id="SM2" mimetype="application/vnd.openxmlformats-officedocument.wordprocessingml.document"/>
<supplementary-material xlink:href="Table1.docx" id="ST1" mimetype="application/vnd.openxmlformats-officedocument.wordprocessingml.document"/>
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