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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.2024.1385191</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>Hydroponic lettuce <italic>in-situ</italic> water circulation evaluation via nondestructive mass measurement in controlled environment</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Huang</surname>
<given-names>Yanhua</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="author-notes" rid="fn001">
<sup>*</sup>
</xref>
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</contrib>
<contrib contrib-type="author">
<name>
<surname>Ni</surname>
<given-names>Zheng</given-names>
</name>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
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<contrib contrib-type="author">
<name>
<surname>Chang</surname>
<given-names>Yanbin</given-names>
</name>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
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<contrib contrib-type="author">
<name>
<surname>Wang</surname>
<given-names>Lizhi</given-names>
</name>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
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<aff id="aff1">
<sup>1</sup>
<institution>Department of Industrial and Manufacturing Systems Engineering, Iowa State University</institution>, <addr-line>Ames, IA</addr-line>, <country>United States</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>Innovation Science and Engineering Lab, Bayer Crop Science</institution>, <addr-line>St. Louis, MO</addr-line>, <country>United States</country>
</aff>
<aff id="aff3">
<sup>3</sup>
<institution>School of Industrial Engineering and Management, Oklahoma State University</institution>, <addr-line>Stillwater, OK</addr-line>, <country>United States</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>Edited by: Shanwen Zhang, Xijing University, China</p>
</fn>
<fn fn-type="edited-by">
<p>Reviewed by: Roberta Bulgari, University of Turin, Italy</p>
<p>Baige Zhang, Guangdong Academy of Agricultural Sciences, China</p>
</fn>
<fn fn-type="corresp" id="fn001">
<p>*Correspondence: Yanhua Huang, <email xlink:href="mailto:yanhuah@iastate.edu">yanhuah@iastate.edu</email>; <email xlink:href="mailto:yanhua.huang@bayer.com">yanhua.huang@bayer.com</email>
</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>16</day>
<month>10</month>
<year>2024</year>
</pub-date>
<pub-date pub-type="collection">
<year>2024</year>
</pub-date>
<volume>15</volume>
<elocation-id>1385191</elocation-id>
<history>
<date date-type="received">
<day>12</day>
<month>02</month>
<year>2024</year>
</date>
<date date-type="accepted">
<day>15</day>
<month>08</month>
<year>2024</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2024 Huang, Ni, Chang and Wang</copyright-statement>
<copyright-year>2024</copyright-year>
<copyright-holder>Huang, Ni, Chang and Wang</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>This study proposed a hydroponic system with the capacity to acquire high-resolution <italic>in situ</italic> mass data for non-destructive evaluation of water circulation in lettuce. The system customizes the watering profile, enables high-frequency <italic>in situ</italic> weight measurement, and monitors multidimensional environment changes. Key air, water, and light parameters were collected to evaluate the plant response, susceptibility, and adaptability to environmental conditions. Multiple physiological indices were defined to characterize the properties of two lettuce varieties in response to different environmental factors.</p>
</abstract>
<kwd-group>
<kwd>IoT</kwd>
<kwd>hydroponic lettuce</kwd>
<kwd>water circulation</kwd>
<kwd>non-destructive evaluation</kwd>
<kwd>
<italic>in situ</italic>
</kwd>
<kwd>transpiration</kwd>
<kwd>environmental susceptibility</kwd>
<kwd>operation optimization</kwd>
</kwd-group>
<counts>
<fig-count count="9"/>
<table-count count="3"/>
<equation-count count="1"/>
<ref-count count="22"/>
<page-count count="12"/>
<word-count count="6110"/>
</counts>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-in-acceptance</meta-name>
<meta-value>Technical Advances in Plant Science</meta-value>
</custom-meta>
</custom-meta-wrap>
</article-meta>
</front>
<body>
<sec id="s1" sec-type="intro">
<label>1</label>
<title>Introduction</title>
<p>Water circulation plays a crucial role in major plant physiological processes, such as respiration and photosynthesis. In respiration, water movement affects oxygen availability, root growth and health, and nutrient uptake. <xref ref-type="bibr" rid="B10">Mittler et&#xa0;al. (2022)</xref> reviewed important oxygen-induced signaling in the plant respiration process, where most of the oxygen in hydroponic plant access is from circulated water. <xref ref-type="bibr" rid="B1">Bharti et&#xa0;al. (2019)</xref> discovered that changed water conditions increase root mass weight by 27%&#x2013;40% and also improve nitrogen (N) absorption rate. In photosynthesis, water plays a more important role in nutrient transportation, chemical reactions, carbon dioxide (CO<sub>2</sub>) capture, oxygen production, and adenosine triphosphate (ATP) production (<xref ref-type="bibr" rid="B15">Papanatsiou et&#xa0;al., 2019</xref>; <xref ref-type="bibr" rid="B19">Sun et&#xa0;al., 2017</xref>; <xref ref-type="bibr" rid="B21">Woodward, 2004</xref>). As one of the key carbon sources in photosynthesis, along with water, chlorophyll combines them to produce ATP and oxygen (<xref ref-type="bibr" rid="B19">Sun et&#xa0;al., 2017</xref>).</p>
<p>The objective of this study is to design an Internet of Things (IoT) integrated system in a hydroponic environment for collecting data of water circulation throughout the plant growth process, which could be used to estimate the physiological properties of plants. IoT can be a very useful technology for collecting data in controlled environments such as hydroponic systems. Typical IoT hydroponic system integration includes sensor technology, data collection and communication, automation and control, decision support systems, energy optimization, remote monitoring and troubleshooting, scalability and integration, and data-driven insights and optimization. <xref ref-type="bibr" rid="B9">Mishra et&#xa0;al. (2020)</xref> used sensor arrays to improve the accuracy of nutrient concentration measurement in hydroponic systems to optimize environmental conditions for plants. <xref ref-type="bibr" rid="B7">Ibayashi et&#xa0;al. (2016)</xref> improved the stability and reliability of data communication for tomato hydroponics on a locally deployed wireless control system. <xref ref-type="bibr" rid="B18">Saraswathi et&#xa0;al. (2018)</xref> designed an IoT system to monitor and control the nutrients, pH, electrical conductivity, air temperature, and humidity via internet data communication and mobile applications. Optimal operation prescriptions can be recommended by crop modeling (CM) and executed by the controlling system, which closes the loop of measurement, calibration, and justifications (<xref ref-type="bibr" rid="B5">Gallardo et&#xa0;al., 2020</xref>). Integration of IoT&#x2019;s control capability and crop models&#x2019; physiological insights also supports research in plant genotype identification and isolation (<xref ref-type="bibr" rid="B4">Elsallam et&#xa0;al., 2021</xref>) and regulation of energy consumption (<xref ref-type="bibr" rid="B4">Elsallam et&#xa0;al., 2021</xref>).</p>
<p>A major challenge in understanding the role of water circulation in the crop growth process is to observe and interpret water movement under different environmental conditions. Water uptake and loss change plant weight significantly. It is necessary to continuously track water movement at different environmental conditions to correlate the water intake and loss to environmental conditions, providing direct experimental evidence of how the environment alters plant respiration and photosynthesis. Therefore, in order to study water circulation in the plant growth process in a hydroponic environment, three categories of data must be collected: air, water, and light.</p>
<list list-type="bullet">
<list-item>
<p>First, air data include air temperature, humidity, and concentration of carbon dioxide. Air temperature impacts both the photosynthesis and respiration processes that fundamentally regulate plant growth activities, including water transpiration, stomata open percentage, carbon dioxide absorption rate, cellulose synthesis rate, and cell replication rate (<xref ref-type="bibr" rid="B22">Zhang et&#xa0;al., 2022</xref>). Humidity controls the stomata open percentage water transpiration potential between leaf and root (<xref ref-type="bibr" rid="B2">Chia and Lim, 2022</xref>). Carbon dioxide (CO<sub>2</sub>), as the major carbon source in the photosynthesis process, determines the growth rate of plants (<xref ref-type="bibr" rid="B6">Gamage et&#xa0;al., 2018</xref>).</p>
</list-item>
<list-item>
<p>Second, water data include water temperature, electric conductivity, and pH. Watering temperature, also reported as root zone temperature, has been shown to affect lettuce yield. <xref ref-type="bibr" rid="B20">Thakulla et&#xa0;al. (2021)</xref> discovered that lettuce gained the highest fresh and dry shoot weight at 21.1&#xb0;C and generated most sugar at 18.3&#xb0;C. Electric conductivity indicates the nutrient concentration in the circulating media. <xref ref-type="bibr" rid="B12">Neocleous and Savvas (2022)</xref> attempted to optimize electric conductivity for smart nutrient solutions that feed hydroponic crops. Controlling water pH mainly aims for more balanced nutrient ions&#x2019; availability. Most alkaline earth metal ions, such as calcium (Ca) and magnesium (Mg), do not precipitate at acidic levels when plants can utilize them in the water circulation (<xref ref-type="bibr" rid="B16">Sambo et&#xa0;al., 2019</xref>).</p>
</list-item>
<list-item>
<p>Third, light data include light intensity and photoperiod. When exposed to different spectrums of light, plants take nutrition differently. <xref ref-type="bibr" rid="B13">Ohashi-Kaneko et&#xa0;al. (2006)</xref> reported that nitrogen utilization was different when plants were or were not exposed to blue light as a supplement for red light radiation. Changing photoperiods also modifies plant growth. <xref ref-type="bibr" rid="B17">Samuolien&#x117; et&#xa0;al. (2021)</xref> discovered that 16-h-per-day photoperiods are optimal for lettuce (<italic>Lactuca sativa</italic> L, &#x201c;Lobjoits Green Cos&#x201d;), synthesizing the highest xanthophylls with red and blue light exposure.</p>
</list-item>
</list>
<p>In this study, we designed and constructed a non-destructive IoT-integrated hydroponic cultivation system with the capability to monitor and control air, water, and light parameters. Correlation maps were calculated for plant growth analysis based on 10 environmental parameters and 14 evaluation indices describing physiological and operational efficiencies extracted from weight data signals. Insights from our analysis could be used by hydroponic growers and researchers to estimate parameters in crop models, interpret observations of the respiration and photosynthesis processes in the hydroponic cultivation system, predict crop yields, improve quality (such as taste, nutritional value, and shelf life), increase crop yield, and reduce energy consumption.</p>
<p>The goal of the proposed hydroponic system was not to produce good lettuce; rather, it was to produce good data (especially weight data) to help understand the physiological properties of two lettuce varieties. As a result, this study will not only help identify better environmental conditions for lettuce cultivation but also inspire the design of similar systems to benefit the research and development in other crops.</p>
</sec>
<sec id="s2">
<label>2</label>
<title>System construction and management</title>
<p>We designed a hydroponic system for growing Romaine and Oak Leaf lettuce (<italic>Lactuca sativa</italic>), which features real-time, high-frequency (1&#xa0;Hz), and high-resolution (0.01&#xa0;g) mass data acquisition and environmental control for air, water, and light. The system consists of seven subsystems, namely, S1: Mechanical structure and plumbing, S2: Air, S3: Water, S4: Light, S5: Weight measurement, S6: Data communication interface, and S7: On-site and remote data management. The system structure is shown in <xref ref-type="fig" rid="f1">
<bold>Figure&#xa0;1</bold>
</xref> and details are explained in subsequent sections.</p>
<fig id="f1" position="float">
<label>Figure&#xa0;1</label>
<caption>
<p>System architect and data flow. All rectangle boxes are physical components, all round-corner boxes are subsystems, all solid boarded boxes are physical hardware, and all dashed boxes are functional components. Arrows indicate the data flow directions.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fpls-15-1385191-g001.tif"/>
</fig>
<sec id="s2_1">
<label>2.1</label>
<title>S1: Mechanical structures and plumbing</title>
<p>Four independent and identical systems residing in four Percival (Perry, IA) growth chambers were used to facilitate the air temperature and relative humidity monitoring and control.</p>
<p>To manage water delivery in detail, a complex water management system is designed and optimized to fit chamber and shelf setup, as illustrated in <xref ref-type="fig" rid="f2">
<bold>Figure&#xa0;2A</bold>
</xref>. Each incubation chamber contains two units, presented in <xref ref-type="fig" rid="f2">
<bold>Figure&#xa0;2A</bold>
</xref>. The unit contains a three-layer shelf, a 120-L plastic container for water storage, a water upstream pipeline, six incubating pots, and a water downstream pipeline. Water upstream and downstream pipelines and incubating pots are mainly constructed with PVC parts.</p>
<fig id="f2" position="float">
<label>Figure&#xa0;2</label>
<caption>
<p>Base level system hardware: growth chamber, mechanical structure, and plumbing system. <bold>(A)</bold> Shelving and plumbing overlook; <bold>(B)</bold> incubating pot assembly ensures no water residue after water exits; <bold>(C)</bold> air temperature and relative humidity control access point.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fpls-15-1385191-g002.tif"/>
</fig>
<p>The incubating pot was designed and optimized for hydroponically growing Romaine and Oak Leaf lettuce with flowing aqueous nutrient solution, considering easy assembly, water flowability, compatibility with weight balance measurement system, reliability, and flexibility, as illustrated in <xref ref-type="fig" rid="f2">
<bold>Figure&#xa0;2B</bold>
</xref>.</p>
<p>For accessibility of the incubating pots, all PVC was purchased directly from local plumbing vendors. Three-quarter-inch pipes were cut down to the designed length for assembly, whereas other parts were used directly as purchased. The three supporting legs can be rotated to fit different sizes of weighing scale trays. A water exit was designed at the bottom of the 6-inch cap to eliminate dead water. Leg tops were adhered to and fastened onto the cap with PVC cement, stainless bolts, and nuts. Such a design took thermal geometry variation, high humidity, and high salty conditions into consideration.</p>
</sec>
<sec id="s2_2">
<label>2.2</label>
<title>S2: Air conditioning and evaluation subsystem</title>
<p>System air conditions were primarily regulated by a Percival growth chamber mentioned previously via prior defined programs and an on-board interface, as shown in <xref ref-type="fig" rid="f2">
<bold>Figure&#xa0;2C</bold>
</xref>. Programs could define desired temperature and relative humidity with customized time within a 24-h cycle. The chamber operation conditions were logged and could be downloaded from an on-chip micro-SD card. A separate air condition data logger, GZAIR CO<sub>2</sub> Data Logger Monitor (Engerwitzdorf, Austria), was used to log air temperature, humidity, and CO<sub>2</sub> concentration with an acquisition frequency of once per 5&#xa0;min. This data logger was connected to an on-site PC via a USB cable.</p>
</sec>
<sec id="s2_3">
<label>2.3</label>
<title>S3: Water conditioning subsystem</title>
<p>Water conditioning included two parts: scheduling and nutrient conditions. Kasa WiFi-controlled switches (Shenzhen, China) were used to control the Smartpond 80-gallon-per-hour submersible fountain pump purchased from Lowes.com to customize water scheduling. The Flora Nova Grow 7-4-10 one-part nutrient solution, manufactured by General Hydroponics (Berkeley, CA), was diluted 1,600 and 800 times with tap water as two nutrient solutions during the seedling and early growing stages. Complete composition of this formula can be found at <ext-link ext-link-type="uri" xlink:href="https://generalhydroponics.com/resources/floranova-grow-product-label/">https://generalhydroponics.com/resources/floranova-grow-product-label/</ext-link>.</p>
<p>Watering events alter the measured weight significantly. By analyzing measured weight data, watering events were clearly logged and carefully evaluated. Water conditions, including water temperature, pH, and electric conductivity, were monitored by Bluelab (New Zealand) Wi-Fi-enabled guardian monitor.</p>
</sec>
<sec id="s2_4">
<label>2.4</label>
<title>S4: Light conditioning subsystem</title>
<p>Lighting was provided by WiFi-enabled K5 series XL750 KindLED (Santa Rosa, CA) grow light. This lighting system only enabled individual control of white, red, and blue lights, although other spectrums of light could also affect plant growth. Photosynthetic photon flux density (PPFD), also known as light intensity, could be modified as variations of power percentage, ranging from 0% to 100%. Lighting conditions could be tuned with minute resolution in the time domain.</p>
<p>Since PPFD was controlled digitally (not analog signals), the delivered PPFD measurement was carried out as photosynthetic active radiation (PAR) meter calibration at the incubating pot level. Each light channel was calibrated individually. Light data were based on calibrated PPFD readings and populated with a frequency of minutes on the time domain.</p>
</sec>
<sec id="s2_5">
<label>2.5</label>
<title>S5: Weight measurement subsystem</title>
<p>The weight of each growing lettuce was continuously recorded using a weight measurement system, which consisted of Ruishan (Shanghai, China) weighing balances and Serial RS232-to-Ethernet converters. The capacity and accuracy of the weighing balance were 2,000 g and 0.01&#xa0;g, respectively. Since the data port of the weight balance was the RS232 serial port, model number USR-TCP232-302 converters, manufactured by PUSR (Jinan, China), were used to convert serial signals to transmission control protocol/internet protocol (TCP/IP) signals.</p>
</sec>
<sec id="s2_6">
<label>2.6</label>
<title>S6: Data communication Interface</title>
<p>Four different interfaces were used to communicate sensing and controlling hardware and computation hardware to ensure the stability and reliability of the data communications. With Wi-Fi connections, managerial commands and system status, such as feedback from Kind LED lights and Kasa switches, could communicate back and forth over the Wi-Fi interface. In most cases, chambers were maintained at high humidity levels. A wireless communication approach improved system safety and data communication reliability. All Bluelab monitors were required to upload data via a proprietary Bluelab data link, and a Bluelab connect stick was used to receive wireless data from Bluelab monitors and send it to the on-site PC for data logging via the USB interface.</p>
<p>Besides water condition data, air condition data were also transmitted via the USB interface. Water data were logged with a frequency of 1&#xa0;min, and air condition data were logged every 5&#xa0;min. TCP/IP protocol was utilized to transmit high-frequency data such as weight measurement data communication and remote data exchange. T-568B terminated category 6 cables were used to ensure hardware reliability and transmitting speed.</p>
</sec>
<sec id="s2_7">
<label>2.7</label>
<title>S7: On-site and remote data management</title>
<p>One on-site computer (PC) was set up per growth chamber to serve as a secure Wi-Fi broadcaster, commanding system, and data acquisition system. Beyond three environmental condition subsystems and a weight measurement system, 16 web cameras are implemented for operational status checks, condition visual verification, visual inspections, and remote system failure diagnoses. With the large numbers of devices connected via Wi-Fi, a secure and independent broadcast is required to ensure command executing security and reliability. Since the Kind LED light on-board chip uses a web page-based control interface, this on-site PC is perfect for providing remote access to the lighting system via internet connection. The water condition system, air conditioning system, and weight management system all use this PC as a temporary data storage and hub for remote communication.</p>
<p>Beyond this on-site PC, remote computational interventions were needed to provide cloud computing and human intervention access portals. Crop modeling could be hosted on this remote computation equipment, providing model training and updating with <italic>in situ</italic> data input, operational command suggesting and advising, bolting predictions, and breeding simulations. It also provided remote human intervention access portals, where operation managers could access data and modify operation parameters.</p>
</sec>
</sec>
<sec id="s3">
<label>3</label>
<title>Design of experiments and evaluation approach</title>
<p>The designs of the experiments emphasized creating variability over the growth cycle to reduce the numbers of plant samples needed for data analysis. In total, 24 days of 11 plants&#x2019; environmental data and weight measurement data were collected and processed. No crop was harvested during the experiment, since the purpose of the hydroponic system was to produce good data rather than lettuce. All environmental parameters are listed in <xref ref-type="table" rid="T1">
<bold>Table&#xa0;1</bold>
</xref>. In the following subsections, we introduce air, water, and light conditions during the experiments as well as our new definitions for weight data analysis.</p>
<table-wrap id="T1" position="float">
<label>Table&#xa0;1</label>
<caption>
<p>Environmental parameters.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="top" align="left">No.</th>
<th valign="top" align="left">Definition</th>
<th valign="top" align="left">Denotation</th>
<th valign="top" align="left">Unit</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">1</td>
<td valign="top" align="left">Air temperature</td>
<td valign="top" align="left">
<italic>T<sub>a</sub>
</italic>
</td>
<td valign="top" align="left">Celsius</td>
</tr>
<tr>
<td valign="top" align="left">2</td>
<td valign="top" align="left">Relative humidity</td>
<td valign="top" align="left">RH</td>
<td valign="top" align="left">%</td>
</tr>
<tr>
<td valign="top" align="left">3</td>
<td valign="middle" align="left">CO<sub>2</sub> concentration</td>
<td valign="middle" align="left">
<italic>CO</italic>
<sub>2</sub>
</td>
<td valign="top" align="left">ppm</td>
</tr>
<tr>
<td valign="top" align="left">4</td>
<td valign="top" align="left">Electric conductivity</td>
<td valign="top" align="left">EC</td>
<td valign="top" align="left">ppm</td>
</tr>
<tr>
<td valign="top" align="left">5</td>
<td valign="top" align="left">pH</td>
<td valign="top" align="left">pH</td>
<td valign="top" align="left">unitless</td>
</tr>
<tr>
<td valign="top" align="left">6</td>
<td valign="top" align="left">Water temperature</td>
<td valign="top" align="left">
<italic>Tw</italic>
</td>
<td valign="top" align="left">Celsius</td>
</tr>
<tr>
<td valign="middle" align="left">7</td>
<td valign="middle" align="left">White (micro) light PPFD</td>
<td valign="middle" align="left">
<italic>PPFD<sub>w</sub>
</italic>
</td>
<td valign="middle" align="left">
<italic>&#xb5;mol/m<sup>2</sup>/s</italic>
</td>
</tr>
<tr>
<td valign="middle" align="left">8</td>
<td valign="middle" align="left">Red light PPFD</td>
<td valign="middle" align="left">
<italic>PPFD<sub>r</sub>
</italic>
</td>
<td valign="middle" align="left">
<italic>&#xb5;mol/m<sup>2</sup>/s</italic>
</td>
</tr>
<tr>
<td valign="middle" align="left">9</td>
<td valign="middle" align="left">Blue light PPFD</td>
<td valign="middle" align="left">
<italic>PPFD<sub>b</sub>
</italic>
</td>
<td valign="middle" align="left">
<italic>&#xb5;mol/m<sup>2</sup>/s</italic>
</td>
</tr>
<tr>
<td valign="top" align="left">10</td>
<td valign="top" align="left">Watering times</td>
<td valign="middle" align="left">
<italic>No<sub>wt</sub>
</italic>
</td>
<td valign="top" align="left">count</td>
</tr>
</tbody>
</table>
</table-wrap>
<sec id="s3_1">
<label>3.1</label>
<title>Air conditions</title>
<p>Three daily programs were executed through the seedling and cloning stages to differentiate the conditions, as shown in <xref ref-type="table" rid="T2">
<bold>Table&#xa0;2</bold>
</xref>, where programs #1 and #2 had a 24-h cycle and program #3 had a 12-h cycle. Since air circulation in the growth chamber was regulated via a fan with inconstant working schedules, no CO<sub>2</sub> generation source was introduced in the system. System air condition data, including air temperature, humidity, and CO<sub>2</sub> concentration, were logged every 5&#xa0;min per sensor limitation.</p>
<table-wrap id="T2" position="float">
<label>Table&#xa0;2</label>
<caption>
<p>Incubator program parameters.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="top" align="left">Program</th>
<th valign="top" align="center">#1</th>
<th valign="top" align="center">#2</th>
<th valign="top" align="center">#3</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">Daytime start time</td>
<td valign="top" align="center">7:00</td>
<td valign="top" align="center">6:00</td>
<td valign="top" align="center">6:00 and18:00</td>
</tr>
<tr>
<td valign="top" align="left">Daytime temperature (&#xb0;C)</td>
<td valign="top" align="center">20</td>
<td valign="top" align="center">22</td>
<td valign="top" align="center">20</td>
</tr>
<tr>
<td valign="top" align="left">Daytime humidity (%)</td>
<td valign="top" align="center">40</td>
<td valign="top" align="center">50</td>
<td valign="top" align="center">50</td>
</tr>
<tr>
<td valign="top" align="left">Nighttime start time</td>
<td valign="top" align="center">19:00</td>
<td valign="top" align="center">18:00</td>
<td valign="top" align="center">12:00 and 00:00</td>
</tr>
<tr>
<td valign="top" align="left">Nighttime temperature (&#xb0;C)</td>
<td valign="top" align="center">16.5</td>
<td valign="top" align="center">18</td>
<td valign="top" align="center">18</td>
</tr>
<tr>
<td valign="top" align="left">Nighttime humidity (%)</td>
<td valign="top" align="center">20</td>
<td valign="top" align="center">30</td>
<td valign="top" align="center">30</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="s3_2">
<label>3.2</label>
<title>Water conditions</title>
<p>For every six plants, 100 L of diluted nutrient solutions were formulated and stored in the 120-L plastic container for hydroponic circulation. To compensate for evaporation, additional tap water was added to maintain the 100-L total volume. In the seedling stage, the flora nutrient was diluted 1,600 times.</p>
<p>In the cloning stage, the flora nutrient was diluted 800 times. At the start, the water&#x2019;s reading was 450 ppm (in the ppm 500 scale) for electric conductivity, 19&#xb0;C for water temperature, and 6.8 for pH. Water conditions were logged with 1&#xa0;min resolution on time domain.</p>
</sec>
<sec id="s3_3">
<label>3.3</label>
<title>Light conditions</title>
<p>The LED light was positioned 1&#xa0;m above the incubating pot, which is shown in <xref ref-type="fig" rid="f2">
<bold>Figure&#xa0;2B</bold>
</xref>. The lighting conditions were programmed with power percentage and changing time. In the 24-day project duration, the light programs are prescribed in <xref ref-type="table" rid="T3">
<bold>Table&#xa0;3</bold>
</xref>.</p>
<table-wrap id="T3" position="float">
<label>Table&#xa0;3</label>
<caption>
<p>Light conditions prescription.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="top" align="center">Time</th>
<th valign="top" align="center">Red intensity (%)</th>
<th valign="top" align="center">Blue intensity (%)</th>
<th valign="top" align="center">White (micro) intensity (%)</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">08:45:00 a.m.</td>
<td valign="top" align="center">20</td>
<td valign="top" align="center">40</td>
<td valign="top" align="center">40</td>
</tr>
<tr>
<td valign="top" align="left">09:15:00 a.m.</td>
<td valign="top" align="center">10</td>
<td valign="top" align="center">25</td>
<td valign="top" align="center">25</td>
</tr>
<tr>
<td valign="top" align="left">09:45:00 a.m.</td>
<td valign="top" align="center">5</td>
<td valign="top" align="center">5</td>
<td valign="top" align="center">5</td>
</tr>
<tr>
<td valign="top" align="left">10:00:00 a.m.</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">0</td>
</tr>
<tr>
<td valign="top" align="left">04:00:00 p.m.</td>
<td valign="top" align="center">5</td>
<td valign="top" align="center">5</td>
<td valign="top" align="center">5</td>
</tr>
<tr>
<td valign="top" align="left">04:15:00 p.m.</td>
<td valign="top" align="center">10</td>
<td valign="top" align="center">25</td>
<td valign="top" align="center">25</td>
</tr>
<tr>
<td valign="top" align="left">04:45:00 p.m.</td>
<td valign="top" align="center">20</td>
<td valign="top" align="center">40</td>
<td valign="top" align="center">40</td>
</tr>
<tr>
<td valign="top" align="left">05:15:00 p.m.</td>
<td valign="top" align="center">30</td>
<td valign="top" align="center">60</td>
<td valign="top" align="center">60</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>For PPFD calibration, all three spectrum lights were calibrated individually. The PAR sensor remained at the same location during calibration and only lighting conditions were changed. The calibration results showed a highly linear correlation with power percentages, as shown in <xref ref-type="fig" rid="f3">
<bold>Figure&#xa0;3</bold>
</xref>.</p>
<fig id="f3" position="float">
<label>Figure&#xa0;3</label>
<caption>
<p>PPFD calibration of white, blue, and red spectrum lights with different light power settings.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fpls-15-1385191-g003.tif"/>
</fig>
<p>Based on this calibrated PPFD reading, the light condition profiles were populated with minute time resolution, noted as PPFD<italic>
<sub>s</sub>
</italic>(<italic>t</italic>), where <italic>s</italic> denotes the standard profile. When determining the PPFD for each plant, secondary calibrations were conducted. The PAR sensor was located at each plant&#x2019;s incubating pot height level. During the calibration, the Kind LED light was set as 60% in red, white, and blue light. The calibrated PPFD for this setting was 494 &#xb5;mol/m<sup>2</sup>/s. For each plant, a new PPFD reading was logged as <inline-formula>
<mml:math display="inline" id="im1">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mtext>PPFD</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mi>X</mml:mi>
<mml:mi>X</mml:mi>
<mml:mo>.</mml:mo>
<mml:mi>c</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> with XX denoting the plant number. Therefore, the light condition profiles for each plant, <inline-formula>
<mml:math display="inline" id="im2">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mtext>PPFD</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mi>X</mml:mi>
<mml:mi>X</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mi>t</mml:mi>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula>, can be calculated as</p>
<disp-formula id="eq1">
<label>(1)</label>
<mml:math display="block" id="M1">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mtext>PPFD</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mi>X</mml:mi>
<mml:mi>X</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mi>t</mml:mi>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mtext>PPFD</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mi>X</mml:mi>
<mml:mi>X</mml:mi>
<mml:mo>.</mml:mo>
<mml:mi>c</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:mn>494</mml:mn>
</mml:mrow>
</mml:mfrac>
<mml:mo>&#xa0;</mml:mo>
<mml:mo>&#xd7;</mml:mo>
<mml:mo>&#xa0;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mtext>PPFD</mml:mtext>
</mml:mrow>
<mml:mi>s</mml:mi>
</mml:msub>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mi>t</mml:mi>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
</disp-formula>
</sec>
<sec id="s3_4">
<label>3.4</label>
<title>Weight data and physiological indices</title>
<p>Weight data included weight reading and the corresponding time stamp, as shown in <xref ref-type="fig" rid="f4">
<bold>Figure&#xa0;4A</bold>
</xref>. The periodic mass fluctuations were due to the watering event, water evapotranspiration, and root water uptake. To understand the complex effects of multiple processes that could affect the weight data, we make several definitions based on the observed data.</p>
<fig id="f4" position="float">
<label>Figure&#xa0;4</label>
<caption>
<p>Raw mass data overlook and signal processing. <bold>(A)</bold> Mass data; <bold>(B)</bold> mass data of one watering cycle.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fpls-15-1385191-g004.tif"/>
</fig>
<p>Consider Plant 38 as an example. The mass data of this plant in November 2022 are plotted in <xref ref-type="fig" rid="f4">
<bold>Figure&#xa0;4A</bold>
</xref>. <xref ref-type="fig" rid="f4">
<bold>Figure&#xa0;4B</bold>
</xref> shows the mass data over a typical watering cycle, where we define eight critical time points:</p>
<list list-type="simple">
<list-item>
<p>
<inline-formula>
<mml:math display="inline" id="im3">
<mml:mrow>
<mml:msub>
<mml:mi>t</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> Five minutes before start of watering</p>
</list-item>
<list-item>
<p>
<inline-formula>
<mml:math display="inline" id="im4">
<mml:mrow>
<mml:msub>
<mml:mi>t</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> Start of watering event, when the mass starts to increase rapidly</p>
</list-item>
<list-item>
<p>
<inline-formula>
<mml:math display="inline" id="im5">
<mml:mrow>
<mml:msub>
<mml:mi>t</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> Start of water saturation, when the increase of mass slows down</p>
</list-item>
<list-item>
<p>
<inline-formula>
<mml:math display="inline" id="im6">
<mml:mrow>
<mml:msub>
<mml:mi>t</mml:mi>
<mml:mn>3</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> Five minutes after start of water saturation</p>
</list-item>
<list-item>
<p>
<inline-formula>
<mml:math display="inline" id="im7">
<mml:mrow>
<mml:msub>
<mml:mi>t</mml:mi>
<mml:mn>4</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> Five minutes before end of watering</p>
</list-item>
<list-item>
<p>
<inline-formula>
<mml:math display="inline" id="im8">
<mml:mrow>
<mml:msub>
<mml:mi>t</mml:mi>
<mml:mn>5</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> End of watering event, when the watering stops and mass starts to decrease</p>
</list-item>
<list-item>
<p>
<inline-formula>
<mml:math display="inline" id="im9">
<mml:mrow>
<mml:msub>
<mml:mi>t</mml:mi>
<mml:mn>6</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> End of water dripping, when the water loss due to dripping slows down</p>
</list-item>
<list-item>
<p>
<inline-formula>
<mml:math display="inline" id="im10">
<mml:mrow>
<mml:msub>
<mml:mi>t</mml:mi>
<mml:mn>7</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> Five minutes after end of water dripping</p>
</list-item>
</list>
<p>We define the following physiological indices to characterize plants&#x2019; physiological properties and operational effectiveness during the watering cycle:</p>
<list list-type="bullet">
<list-item>
<p>
<inline-formula>
<mml:math display="inline" id="im11">
<mml:mrow>
<mml:msub>
<mml:mi>D</mml:mi>
<mml:mi>r</mml:mi>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:msub>
<mml:mi>t</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>t</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, rinsing period</p>
</list-item>
<list-item>
<p>
<inline-formula>
<mml:math display="inline" id="im12">
<mml:mrow>
<mml:msub>
<mml:mi>D</mml:mi>
<mml:mrow>
<mml:mi>u</mml:mi>
<mml:mi>r</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:msub>
<mml:mi>t</mml:mi>
<mml:mn>6</mml:mn>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>t</mml:mi>
<mml:mn>5</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, unrinsing period</p>
</list-item>
<list-item>
<p>
<inline-formula>
<mml:math display="inline" id="im13">
<mml:mrow>
<mml:msub>
<mml:mi>D</mml:mi>
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:msub>
<mml:mi>t</mml:mi>
<mml:mn>5</mml:mn>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>t</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, saturation period</p>
</list-item>
<list-item>
<p>
<inline-formula>
<mml:math display="inline" id="im14">
<mml:mrow>
<mml:mi>M</mml:mi>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mi>t</mml:mi>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula>, mass of plant at time point t</p>
</list-item>
<list-item>
<p>
<inline-formula>
<mml:math display="inline" id="im15">
<mml:mrow>
<mml:msub>
<mml:mi>M</mml:mi>
<mml:mrow>
<mml:mi>d</mml:mi>
<mml:mi>y</mml:mi>
<mml:mo>.</mml:mo>
<mml:mi>h</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mi>M</mml:mi>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mi>t</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>M</mml:mi>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mi>t</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula>, dynamic water holding, which is the mass gain during the rinsing period</p>
</list-item>
<list-item>
<p>
<inline-formula>
<mml:math display="inline" id="im16">
<mml:mrow>
<mml:msub>
<mml:mi>M</mml:mi>
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>t</mml:mi>
<mml:mo>.</mml:mo>
<mml:mi>h</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mi>M</mml:mi>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mi>t</mml:mi>
<mml:mn>6</mml:mn>
</mml:msub>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>M</mml:mi>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mi>t</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula>, static water holding, which is the mass gain between the beginning and end of the watering event</p>
</list-item>
<list-item>
<p>
<inline-formula>
<mml:math display="inline" id="im17">
<mml:mrow>
<mml:msub>
<mml:mi>M</mml:mi>
<mml:mrow>
<mml:mi>d</mml:mi>
<mml:mi>y</mml:mi>
<mml:mo>.</mml:mo>
<mml:mi>l</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mi>M</mml:mi>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mi>t</mml:mi>
<mml:mn>6</mml:mn>
</mml:msub>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>M</mml:mi>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mi>t</mml:mi>
<mml:mn>5</mml:mn>
</mml:msub>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula>, dynamic water loss, which is the mass loss during the unrinsing period</p>
</list-item>
<list-item>
<p>
<inline-formula>
<mml:math display="inline" id="im18">
<mml:mrow>
<mml:msub>
<mml:mi>M</mml:mi>
<mml:mrow>
<mml:mi>d</mml:mi>
<mml:mi>y</mml:mi>
<mml:mo>.</mml:mo>
<mml:mi>r</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mi>M</mml:mi>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mi>t</mml:mi>
<mml:mn>5</mml:mn>
</mml:msub>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>M</mml:mi>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mi>t</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula>, dynamic root holding, which is the mass gain during the saturation period during root holding of the water</p>
</list-item>
<list-item>
<p>
<inline-formula>
<mml:math display="inline" id="im19">
<mml:mrow>
<mml:msub>
<mml:mi>R</mml:mi>
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mi>r</mml:mi>
<mml:mo>.</mml:mo>
<mml:mi>B</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi>M</mml:mi>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mi>t</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>M</mml:mi>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mi>t</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mi>t</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>t</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
</inline-formula>, which is the rate of mass change before the watering event.</p>
</list-item>
<list-item>
<p>
<inline-formula>
<mml:math display="inline" id="im20">
<mml:mrow>
<mml:msub>
<mml:mi>R</mml:mi>
<mml:mrow>
<mml:mi>w</mml:mi>
<mml:mi>s</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mi>M</mml:mi>
<mml:mrow>
<mml:mi>d</mml:mi>
<mml:mi>y</mml:mi>
<mml:mo>.</mml:mo>
<mml:mi>h</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mi>t</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>t</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
</inline-formula>, which is the rate of mass change during the water rinsing period.</p>
</list-item>
<list-item>
<p>
<inline-formula>
<mml:math display="inline" id="im21">
<mml:mrow>
<mml:msub>
<mml:mi>R</mml:mi>
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>t</mml:mi>
<mml:mo>.</mml:mo>
<mml:mi>B</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi>M</mml:mi>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mi>t</mml:mi>
<mml:mn>3</mml:mn>
</mml:msub>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>M</mml:mi>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mi>t</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mi>t</mml:mi>
<mml:mn>3</mml:mn>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>t</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
</inline-formula>, which is the rate of mass change after water saturation.</p>
</list-item>
<list-item>
<p>
<inline-formula>
<mml:math display="inline" id="im22">
<mml:mrow>
<mml:msub>
<mml:mi>R</mml:mi>
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>t</mml:mi>
<mml:mo>.</mml:mo>
<mml:mi>A</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi>M</mml:mi>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mi>t</mml:mi>
<mml:mn>5</mml:mn>
</mml:msub>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>M</mml:mi>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mi>t</mml:mi>
<mml:mn>4</mml:mn>
</mml:msub>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mi>t</mml:mi>
<mml:mn>5</mml:mn>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>t</mml:mi>
<mml:mn>4</mml:mn>
</mml:msub>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
</inline-formula>, which is the rate of mass change before watering ends.</p>
</list-item>
<list-item>
<p>
<inline-formula>
<mml:math display="inline" id="im23">
<mml:mrow>
<mml:msub>
<mml:mi>R</mml:mi>
<mml:mrow>
<mml:mi>w</mml:mi>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mi>M</mml:mi>
<mml:mrow>
<mml:mi>d</mml:mi>
<mml:mi>y</mml:mi>
<mml:mo>.</mml:mo>
<mml:mi>l</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mi>t</mml:mi>
<mml:mn>6</mml:mn>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>t</mml:mi>
<mml:mn>5</mml:mn>
</mml:msub>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
</inline-formula>, which is the rate of mass change during the water unrinsing period.</p>
</list-item>
<list-item>
<p>
<inline-formula>
<mml:math display="inline" id="im24">
<mml:mrow>
<mml:msub>
<mml:mi>R</mml:mi>
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mi>r</mml:mi>
<mml:mo>.</mml:mo>
<mml:mi>A</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi>M</mml:mi>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mi>t</mml:mi>
<mml:mn>7</mml:mn>
</mml:msub>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>M</mml:mi>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mi>t</mml:mi>
<mml:mn>6</mml:mn>
</mml:msub>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mi>t</mml:mi>
<mml:mn>7</mml:mn>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>t</mml:mi>
<mml:mn>6</mml:mn>
</mml:msub>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
</inline-formula>, which is the rate of mass change after water dripping ends.</p>
</list-item>
</list>
</sec>
</sec>
<sec id="s4" sec-type="results">
<label>4</label>
<title>Results and discussion</title>
<p>In this section, we present the physiological indices defined in Section 3.4 for plant 38. Data for other plants are available upon request.</p>
<sec id="s4_1">
<label>4.1</label>
<title>Rate evaluation indices</title>
<p>Plant 38&#x2019;s transpiration rates before and after watering events are shown in <xref ref-type="fig" rid="f5">
<bold>Figure&#xa0;5A</bold>
</xref>. The negative data indicate mass loss. Minor positive data points may be caused by balance kickback. Before November 15 and after November 22, pre-watering transpirations were slower (less negative). After the water outage on November 14, the pre-water transpiration was faster (more negative) until November 22. Both pre- and post-transpiration were changing periodically with a cycle of 24&#xa0;h. Most of the data points ranged from 0 to &#x2013;2 mg/s.</p>
<fig id="f5" position="float">
<label>Figure&#xa0;5</label>
<caption>
<p>Plant 38: Rate evaluation indices. <bold>(A)</bold> Transpiration rates; <bold>(B)</bold> saturation rates; <bold>(C)</bold> water absorption and exiting rates.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fpls-15-1385191-g005.tif"/>
</fig>
<p>Watering saturation speeds <inline-formula>
<mml:math display="inline" id="im25">
<mml:mrow>
<mml:msub>
<mml:mi>R</mml:mi>
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>t</mml:mi>
<mml:mo>.</mml:mo>
<mml:mi>A</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula>
<mml:math display="inline" id="im26">
<mml:mrow>
<mml:msub>
<mml:mi>R</mml:mi>
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>t</mml:mi>
<mml:mo>.</mml:mo>
<mml:mi>B</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> are shown in <xref ref-type="fig" rid="f5">
<bold>Figure&#xa0;5B</bold>
</xref>. In general, <inline-formula>
<mml:math display="inline" id="im27">
<mml:mrow>
<mml:msub>
<mml:mi>R</mml:mi>
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>t</mml:mi>
<mml:mo>.</mml:mo>
<mml:mi>B</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is greater than <inline-formula>
<mml:math display="inline" id="im28">
<mml:mrow>
<mml:msub>
<mml:mi>R</mml:mi>
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>t</mml:mi>
<mml:mo>.</mml:mo>
<mml:mi>A</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>. The <inline-formula>
<mml:math display="inline" id="im29">
<mml:mrow>
<mml:msub>
<mml:mi>R</mml:mi>
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>t</mml:mi>
<mml:mo>.</mml:mo>
<mml:mi>B</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> had a range from 0.01 to 0.04 g/s, the <inline-formula>
<mml:math display="inline" id="im30">
<mml:mrow>
<mml:msub>
<mml:mi>R</mml:mi>
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>t</mml:mi>
<mml:mo>.</mml:mo>
<mml:mi>A</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> ranged from 0 to 0.05 g/s. The periodic (daily) fluctuations reduced as time progressed for both <inline-formula>
<mml:math display="inline" id="im31">
<mml:mrow>
<mml:msub>
<mml:mi>R</mml:mi>
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>t</mml:mi>
<mml:mo>.</mml:mo>
<mml:mi>B</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula>
<mml:math display="inline" id="im32">
<mml:mrow>
<mml:msub>
<mml:mi>R</mml:mi>
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>t</mml:mi>
<mml:mo>.</mml:mo>
<mml:mi>A</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>.</p>
<p>The water absorption rate <inline-formula>
<mml:math display="inline" id="im33">
<mml:mrow>
<mml:msub>
<mml:mi>R</mml:mi>
<mml:mrow>
<mml:mi>w</mml:mi>
<mml:mi>s</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula>
<mml:math display="inline" id="im34">
<mml:mrow>
<mml:msub>
<mml:mi>R</mml:mi>
<mml:mrow>
<mml:mi>w</mml:mi>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> are shown in <xref ref-type="fig" rid="f5">
<bold>Figure&#xa0;5C</bold>
</xref>. Before the November 15 water suspension, <inline-formula>
<mml:math display="inline" id="im35">
<mml:mrow>
<mml:msub>
<mml:mi>R</mml:mi>
<mml:mrow>
<mml:mi>w</mml:mi>
<mml:mi>s</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> decreased, and <inline-formula>
<mml:math display="inline" id="im36">
<mml:mrow>
<mml:msub>
<mml:mi>R</mml:mi>
<mml:mrow>
<mml:mi>w</mml:mi>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> increased (less negative) over time. After November 18, both <inline-formula>
<mml:math display="inline" id="im37">
<mml:mrow>
<mml:msub>
<mml:mi>R</mml:mi>
<mml:mrow>
<mml:mi>w</mml:mi>
<mml:mi>s</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula>
<mml:math display="inline" id="im38">
<mml:mrow>
<mml:msub>
<mml:mi>R</mml:mi>
<mml:mrow>
<mml:mi>w</mml:mi>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> stabilized. They also fluctuated periodically with a 24-h cycle throughout the entire process. The watering absorption speed <inline-formula>
<mml:math display="inline" id="im39">
<mml:mrow>
<mml:msub>
<mml:mi>R</mml:mi>
<mml:mrow>
<mml:mi>w</mml:mi>
<mml:mi>s</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> reflects the plant&#x2019;s water uptake capability. This capability is determined by xylem osmotic potential as Earles discovered (<xref ref-type="bibr" rid="B3">Earles et&#xa0;al., 2015</xref>). Therefore, the <inline-formula>
<mml:math display="inline" id="im40">
<mml:mrow>
<mml:msub>
<mml:mi>R</mml:mi>
<mml:mrow>
<mml:mi>w</mml:mi>
<mml:mi>s</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> can be used as a xylem index to evaluate plant physiology. Water exiting speed, <inline-formula>
<mml:math display="inline" id="im41">
<mml:mrow>
<mml:msub>
<mml:mi>R</mml:mi>
<mml:mrow>
<mml:mi>w</mml:mi>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, on the other hand indicates the water exit rate. During the growth, plants&#x2019; roots were blocking the water exit. The slight increase (less negative, 0.008 g/s/day with <italic>R</italic>
<sup>2</sup> = 0.75) can be used as an index evaluating root growth conditions.</p>
<p>Environmental factors, such as lighting and air conditions, significantly impact plants&#x2019; mass change rate, including <inline-formula>
<mml:math display="inline" id="im42">
<mml:mrow>
<mml:msub>
<mml:mi>R</mml:mi>
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mi>r</mml:mi>
<mml:mo>.</mml:mo>
<mml:mi>B</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, <inline-formula>
<mml:math display="inline" id="im43">
<mml:mrow>
<mml:msub>
<mml:mi>R</mml:mi>
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mi>r</mml:mi>
<mml:mo>.</mml:mo>
<mml:mi>A</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, <inline-formula>
<mml:math display="inline" id="im44">
<mml:mrow>
<mml:msub>
<mml:mi>R</mml:mi>
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>t</mml:mi>
<mml:mo>.</mml:mo>
<mml:mi>B</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, <inline-formula>
<mml:math display="inline" id="im45">
<mml:mrow>
<mml:msub>
<mml:mi>R</mml:mi>
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>t</mml:mi>
<mml:mo>.</mml:mo>
<mml:mi>A</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, and <inline-formula>
<mml:math display="inline" id="im46">
<mml:mrow>
<mml:msub>
<mml:mi>R</mml:mi>
<mml:mrow>
<mml:mi>w</mml:mi>
<mml:mi>s</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>. As shown in <xref ref-type="fig" rid="f5">
<bold>Figure&#xa0;5</bold>
</xref>, most of the mass changing speed fluctuates daily. We suspect that the mass change speeds are correlated with air or lighting conditions since air conditions and light conditions are changed with a 24-h cycle as mentioned in Sections 3.1 and 3.3. On the other hand, the <inline-formula>
<mml:math display="inline" id="im47">
<mml:mrow>
<mml:msub>
<mml:mi>R</mml:mi>
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mi>r</mml:mi>
<mml:mo>.</mml:mo>
<mml:mi>B</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula>
<mml:math display="inline" id="im48">
<mml:mrow>
<mml:msub>
<mml:mi>R</mml:mi>
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mi>r</mml:mi>
<mml:mo>.</mml:mo>
<mml:mi>A</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> behaved differently before the water outage and during the recovery period (November 18 to 21). With uninterrupted watering, plants may utilize sufficient water for respiration to synthesize cellulose and for photosynthesis to accumulate carbon from air. When water availability is limited, plants may modify their photosynthesis and respiration activities to adapt to the water stress physiologically and biochemically (<xref ref-type="bibr" rid="B14">Osakabe et&#xa0;al., 2014</xref>).</p>
<p>The watering saturation mass change speed reflects the system watering efficiency. The daily fluctuations indicate that the <inline-formula>
<mml:math display="inline" id="im49">
<mml:mrow>
<mml:msub>
<mml:mi>R</mml:mi>
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>t</mml:mi>
<mml:mo>.</mml:mo>
<mml:mi>B</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is plant physiology related. It signifies the approaching of efficient watering of the plant. Such evaluation indices can be used as an operational trigger to regulate watering time span to optimize the watering event efficiency. The <inline-formula>
<mml:math display="inline" id="im50">
<mml:mrow>
<mml:msub>
<mml:mi>R</mml:mi>
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>t</mml:mi>
<mml:mo>.</mml:mo>
<mml:mi>A</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> had less daily fluctuations, compared to <inline-formula>
<mml:math display="inline" id="im51">
<mml:mrow>
<mml:msub>
<mml:mi>R</mml:mi>
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>t</mml:mi>
<mml:mo>.</mml:mo>
<mml:mi>B</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>. With universal watering length, the approaching zero of <inline-formula>
<mml:math display="inline" id="im52">
<mml:mrow>
<mml:msub>
<mml:mi>R</mml:mi>
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>t</mml:mi>
<mml:mo>.</mml:mo>
<mml:mi>A</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> signifies that watering reached the plant&#x2019;s dynamic maximum water holding capacity. Since a considerable amount of water will exit the plant after the watering event ends, modifying the watering length to increase <inline-formula>
<mml:math display="inline" id="im53">
<mml:mrow>
<mml:msub>
<mml:mi>R</mml:mi>
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>t</mml:mi>
<mml:mo>.</mml:mo>
<mml:mi>A</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> will improve the watering utilization.</p>
</sec>
<sec id="s4_2">
<label>4.2</label>
<title>Duration evaluation indices</title>
<p>The duration of rinsing and un-rinsing of Plant 38 is shown in <xref ref-type="fig" rid="f6">
<bold>Figure&#xa0;6A</bold>
</xref>. Abnormal data off the chart were due to watering activity suspension. Regardless of the abnormal data points, the average <inline-formula>
<mml:math display="inline" id="im54">
<mml:mrow>
<mml:msub>
<mml:mi>D</mml:mi>
<mml:mi>r</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> was 104 s, and the average <inline-formula>
<mml:math display="inline" id="im55">
<mml:mrow>
<mml:msub>
<mml:mi>D</mml:mi>
<mml:mrow>
<mml:mi>u</mml:mi>
<mml:mi>r</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> was 72 s. Both <inline-formula>
<mml:math display="inline" id="im56">
<mml:mrow>
<mml:msub>
<mml:mi>D</mml:mi>
<mml:mi>r</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula>
<mml:math display="inline" id="im57">
<mml:mrow>
<mml:msub>
<mml:mi>D</mml:mi>
<mml:mrow>
<mml:mi>u</mml:mi>
<mml:mi>r</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> fluctuated daily.</p>
<fig id="f6" position="float">
<label>Figure&#xa0;6</label>
<caption>
<p>Plant 38: Duration evaluation indices. <bold>(A)</bold> Rinsing and un-rinsing; <bold>(B)</bold> saturation.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fpls-15-1385191-g006.tif"/>
</fig>
<p>The duration of watering saturation is shown in <xref ref-type="fig" rid="f6">
<bold>Figure&#xa0;6B</bold>
</xref>. Abnormal data were removed due to watering suspension. Before November 15, the daily fluctuation was larger than after November 18. After November 24, the moving average of the saturation duration decreased significantly.</p>
<p>The duration of rinsing, <inline-formula>
<mml:math display="inline" id="im58">
<mml:mrow>
<mml:msub>
<mml:mi>D</mml:mi>
<mml:mi>r</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, in <xref ref-type="fig" rid="f6">
<bold>Figure&#xa0;6A</bold>
</xref> signifies the time period of no water was wasted after the entire watering event. Since the power of the watering pump was constant, the rising duration indicates the amount of water stress the plant was under at the start point of the watering event. Reduced fluctuations along the growing process indicate that the plant adapted to this watering fashion (amount and frequency). The duration of unrinsing, <inline-formula>
<mml:math display="inline" id="im59">
<mml:mrow>
<mml:msub>
<mml:mi>D</mml:mi>
<mml:mrow>
<mml:mi>u</mml:mi>
<mml:mi>r</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, in <xref ref-type="fig" rid="f6">
<bold>Figure&#xa0;6A</bold>
</xref>, indicates the period of water exiting after the watering event ends. During this period, part of the dynamically held water exited from the incubating pot. Suppose the hydroponic production was carried out because the plant may need to leave the water tank after watering. In that case, the <inline-formula>
<mml:math display="inline" id="im60">
<mml:mrow>
<mml:msub>
<mml:mi>D</mml:mi>
<mml:mrow>
<mml:mi>u</mml:mi>
<mml:mi>r</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> indicates the time needed to water until all the unused nutrient liquid exited the plants.</p>
<p>The duration of saturation, <inline-formula>
<mml:math display="inline" id="im61">
<mml:mrow>
<mml:msub>
<mml:mi>D</mml:mi>
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, in <xref ref-type="fig" rid="f6">
<bold>Figure&#xa0;6B</bold>
</xref>, signifies the period when the plant did not absorb a portion of the pumped water during the watering event. The larger fluctuations before November 15 indicate that daily changed environmental factors significantly impacted the water uptake. The reduced fluctuation after the water outage suggested that the water had already adapted to the current watering fashion, as <inline-formula>
<mml:math display="inline" id="im62">
<mml:mrow>
<mml:msub>
<mml:mi>D</mml:mi>
<mml:mi>r</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> indicates. It may also suggest that the plant was less susceptible to daily cycled environmental parameters. The moving average decrease after November 27 suggests that plants need more time to begin saturation, which indicates the improvement in watering efficiency.</p>
</sec>
<sec id="s4_3">
<label>4.3</label>
<title>Mass evaluation indices</title>
<p>Mass data at the beginning of the watering event are plotted in <xref ref-type="fig" rid="f7">
<bold>Figure&#xa0;7A</bold>
</xref>. This is the lowest mass reading within the watering cycle, which includes the mass of the plant, incubation pot, and other accessories. <xref ref-type="fig" rid="f7">
<bold>Figure&#xa0;7A</bold>
</xref> shows that the watering suspension lasts 24&#xa0;h (four watering events). The plant used three watering events to recover. The abnormal data point was on November 18 due to a minor watering suspension. The abnormal data point on November 22 was due to noises in the raw data. Regardless of the abnormal data, the linear regression yields 5.49 g/day growth with <italic>R</italic>
<sup>2</sup> = 0.95.</p>
<fig id="f7" position="float">
<label>Figure&#xa0;7</label>
<caption>
<p>Plant 38: Mass evaluation indices. <bold>(A)</bold> Mass calibration; <bold>(B)</bold> dynamic and static water holding capacity; <bold>(C)</bold> dynamic water loss and root holding capacity.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fpls-15-1385191-g007.tif"/>
</fig>
<p>A plant&#x2019;s water-holding capacity is one of the important plant indices to evaluate plant growth. Plant 38&#x2019;s dynamic and static water holding capacity are shown in <xref ref-type="fig" rid="f7">
<bold>Figure&#xa0;7B</bold>
</xref>. Both the dynamic and static water holding capacity fluctuate daily.</p>
<p>Root water-holding capacity reflects the amount of roots and morphology. Plant 38&#x2019;s root dynamic water holding capacity data are shown in <xref ref-type="fig" rid="f7">
<bold>Figure&#xa0;7C</bold>
</xref>. The daily fluctuations before November 15 were significantly greater than those after November 18. The dynamic water loss (negative mass change) represents the amount of water that exits after the watering event stops. The dynamic water loss slightly decreases (less negative) at 0.24 g/day with <italic>R</italic>
<sup>2</sup> = 0.78 with abnormal data exclusion.</p>
<p>One of the most important functions of this hydroponic system was to monitor plant growth by evaluating plant weight. As shown in <xref ref-type="fig" rid="f7">
<bold>Figure&#xa0;7A</bold>
</xref>, Plant 38&#x2019;s mass increased linearly as time progressed. Water outages on November 15 and 18 reduced the growth speed. The water outage and recovery also demonstrated the plant&#x2019;s tolerance, resistance, and response to water stress. The reduced daily fluctuation after the water outage and recovery indicated that the plant was growing conservatively in response to the environmental condition change. Such insights may be useful for commercial hydroponic growers to evaluate emergency water outages and calculate production loss.</p>
<p>As one of the important physiology indices, water holding capacity, shown in <xref ref-type="fig" rid="f7">
<bold>Figure&#xa0;7B</bold>
</xref>, signifies the water availability for plants between watering events. The static water holding capacity, <inline-formula>
<mml:math display="inline" id="im63">
<mml:mrow>
<mml:msub>
<mml:mi>M</mml:mi>
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>t</mml:mi>
<mml:mo>.</mml:mo>
<mml:mi>h</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, evaluates the net water retention after water exits. It is the true water amount that plants can use. The dynamic water holding capacity, <inline-formula>
<mml:math display="inline" id="im64">
<mml:mrow>
<mml:msub>
<mml:mi>M</mml:mi>
<mml:mrow>
<mml:mi>d</mml:mi>
<mml:mi>y</mml:mi>
<mml:mo>.</mml:mo>
<mml:mi>h</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, evaluates the water holding capacity with water running. Beyond static water holding, dynamic water holding also includes the water retention from surface rinsing due to surface tension. There were many factors that can change the surface tension and water retention capacity between the xylem cell wall and watering nutrition liquid, such as temperature, salt concentration (here as electric conductivity), water running speed, xylem cell wall surface roughness, and, most importantly, xylem surface area (<xref ref-type="bibr" rid="B8">Kumar et&#xa0;al., 2022</xref>). The daily fluctuations for both <inline-formula>
<mml:math display="inline" id="im65">
<mml:mrow>
<mml:msub>
<mml:mi>M</mml:mi>
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>t</mml:mi>
<mml:mo>.</mml:mo>
<mml:mi>h</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula>
<mml:math display="inline" id="im66">
<mml:mrow>
<mml:msub>
<mml:mi>M</mml:mi>
<mml:mrow>
<mml:mi>d</mml:mi>
<mml:mi>y</mml:mi>
<mml:mo>.</mml:mo>
<mml:mi>h</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> indicate that the water holding capacities are highly correlated with environmental parameters that are cycled every 24&#xa0;h.</p>
<p>As side evaluation indices, dynamic water loss, <inline-formula>
<mml:math display="inline" id="im67">
<mml:mrow>
<mml:msub>
<mml:mi>M</mml:mi>
<mml:mrow>
<mml:mi>d</mml:mi>
<mml:mi>y</mml:mi>
<mml:mo>.</mml:mo>
<mml:mi>l</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, and dynamic root holding capacity, <inline-formula>
<mml:math display="inline" id="im68">
<mml:mrow>
<mml:msub>
<mml:mi>M</mml:mi>
<mml:mrow>
<mml:mi>d</mml:mi>
<mml:mi>y</mml:mi>
<mml:mo>.</mml:mo>
<mml:mi>r</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, shown in <xref ref-type="fig" rid="f7">
<bold>Figure&#xa0;7C</bold>
</xref>, provide useful insights. Dynamic water loss is the direct evaluation of the amount wasted after the watering event ends. Reducing this evaluation index would reduce energy usage and improve system efficiency. In this experiment, reduced water loss fluctuations signify that the plant is less susceptible to environmental changes. The dynamic root holding capacity fluctuated less than other evaluation indices from the beginning of the growth progress. <inline-formula>
<mml:math display="inline" id="im69">
<mml:mrow>
<mml:msub>
<mml:mi>M</mml:mi>
<mml:mrow>
<mml:mi>d</mml:mi>
<mml:mi>y</mml:mi>
<mml:mo>.</mml:mo>
<mml:mi>r</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> signifies the power of root growth to prevent water loss. Similar to <inline-formula>
<mml:math display="inline" id="im70">
<mml:mrow>
<mml:msub>
<mml:mi>M</mml:mi>
<mml:mrow>
<mml:mi>d</mml:mi>
<mml:mi>y</mml:mi>
<mml:mo>.</mml:mo>
<mml:mi>h</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, root surface area significantly impacts <inline-formula>
<mml:math display="inline" id="im71">
<mml:mrow>
<mml:msub>
<mml:mi>M</mml:mi>
<mml:mrow>
<mml:mi>d</mml:mi>
<mml:mi>y</mml:mi>
<mml:mo>.</mml:mo>
<mml:mi>r</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>. Therefore, <inline-formula>
<mml:math display="inline" id="im72">
<mml:mrow>
<mml:msub>
<mml:mi>M</mml:mi>
<mml:mrow>
<mml:mi>d</mml:mi>
<mml:mi>y</mml:mi>
<mml:mo>.</mml:mo>
<mml:mi>r</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> can be treated as the root evaluation index.</p>
</sec>
<sec id="s4_4">
<label>4.4</label>
<title>Correlation matrices</title>
<p>Plant physiology status is susceptible to environmental condition changes. In this subsection, we use the physiological indices to provide insights into the physiological properties of Plant 38 by computing and plotting the correlation coefficient matrix between the physiological indices and environmental factors and the secondary correlation coefficients matrix between the physiological indices and their temporal variability, which is measured as the moving standard deviation with a step size of four watering events. The full name of the environmental factors and evaluation indices can be found in <xref ref-type="table" rid="T1">
<bold>Table&#xa0;1</bold>
</xref> and Section 3.4</p>
<p>The correlation matrix heat map of Plant 38 between physiological indices and environmental factors is shown in <xref ref-type="fig" rid="f8">
<bold>Figure&#xa0;8A</bold>
</xref>. Several correlation coefficients are worth noting, such as the correlation between pH and <inline-formula>
<mml:math display="inline" id="im73">
<mml:mrow>
<mml:msub>
<mml:mi>M</mml:mi>
<mml:mrow>
<mml:mi>d</mml:mi>
<mml:mi>y</mml:mi>
<mml:mo>.</mml:mo>
<mml:mi>h</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mo>&#x2013;</mml:mo>
<mml:mn>0.86</mml:mn>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula>, <inline-formula>
<mml:math display="inline" id="im74">
<mml:mrow>
<mml:msub>
<mml:mi>M</mml:mi>
<mml:mrow>
<mml:mi>d</mml:mi>
<mml:mi>y</mml:mi>
<mml:mo>.</mml:mo>
<mml:mi>l</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mn>0.78</mml:mn>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula>, <inline-formula>
<mml:math display="inline" id="im75">
<mml:mrow>
<mml:msub>
<mml:mi>M</mml:mi>
<mml:mi>c</mml:mi>
</mml:msub>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mn>0.87</mml:mn>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula>, <inline-formula>
<mml:math display="inline" id="im76">
<mml:mrow>
<mml:msub>
<mml:mi>R</mml:mi>
<mml:mrow>
<mml:mi>w</mml:mi>
<mml:mi>s</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mo>&#x2013;</mml:mo>
<mml:mn>0.81</mml:mn>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula>, and <inline-formula>
<mml:math display="inline" id="im77">
<mml:mrow>
<mml:msub>
<mml:mi>R</mml:mi>
<mml:mrow>
<mml:mi>w</mml:mi>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mn>0.84</mml:mn>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula>. As an important water condition descriptor, pH affects plants&#x2019; physiology and water uptake from many perspectives. With lower pH, the higher availability of Ca and Mg ions in the liquid requires plants to uptake higher amounts of water to balance the osmotic pressure between cell membranes. Therefore, the negative correlations between pH and <inline-formula>
<mml:math display="inline" id="im78">
<mml:mrow>
<mml:msub>
<mml:mi>M</mml:mi>
<mml:mrow>
<mml:mi>d</mml:mi>
<mml:mi>y</mml:mi>
<mml:mo>.</mml:mo>
<mml:mi>h</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula>
<mml:math display="inline" id="im79">
<mml:mrow>
<mml:msub>
<mml:mi>R</mml:mi>
<mml:mrow>
<mml:mi>w</mml:mi>
<mml:mi>s</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> signify a higher water retention at lower pH. The correlation between <inline-formula>
<mml:math display="inline" id="im80">
<mml:mrow>
<mml:mi>N</mml:mi>
<mml:msub>
<mml:mi>o</mml:mi>
<mml:mrow>
<mml:mi>w</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula>
<mml:math display="inline" id="im81">
<mml:mrow>
<mml:msub>
<mml:mi>M</mml:mi>
<mml:mrow>
<mml:mi>d</mml:mi>
<mml:mi>y</mml:mi>
<mml:mo>.</mml:mo>
<mml:mi>h</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mo>&#x2013;</mml:mo>
<mml:mn>0.85</mml:mn>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula>, <inline-formula>
<mml:math display="inline" id="im82">
<mml:mrow>
<mml:msub>
<mml:mi>M</mml:mi>
<mml:mrow>
<mml:mi>d</mml:mi>
<mml:mi>y</mml:mi>
<mml:mo>.</mml:mo>
<mml:mi>l</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mn>0.83</mml:mn>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula>, <inline-formula>
<mml:math display="inline" id="im83">
<mml:mrow>
<mml:msub>
<mml:mi>M</mml:mi>
<mml:mi>c</mml:mi>
</mml:msub>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mn>0.86</mml:mn>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula>, <inline-formula>
<mml:math display="inline" id="im84">
<mml:mrow>
<mml:msub>
<mml:mi>R</mml:mi>
<mml:mrow>
<mml:mi>w</mml:mi>
<mml:mi>s</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mo>&#x2013;</mml:mo>
<mml:mn>0.83</mml:mn>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula>, and <inline-formula>
<mml:math display="inline" id="im85">
<mml:mrow>
<mml:msub>
<mml:mi>R</mml:mi>
<mml:mrow>
<mml:mi>w</mml:mi>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mn>0.85</mml:mn>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula>.</p>
<fig id="f8" position="float">
<label>Figure&#xa0;8</label>
<caption>
<p>
<bold>(A)</bold> Correlation between the physiological indices of Plant 38. No data exclusion. <bold>(B)</bold> Correlation between physiological indices fluctuation Plant 38. No data exclusion.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fpls-15-1385191-g008.tif"/>
</fig>
<p>The correlation matrix between the temporal variability of the physiological index and environmental factors is shown in <xref ref-type="fig" rid="f8">
<bold>Figure&#xa0;8B</bold>
</xref>. The correlations between the temporal variability of <inline-formula>
<mml:math display="inline" id="im86">
<mml:mrow>
<mml:msub>
<mml:mi>R</mml:mi>
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mi>r</mml:mi>
<mml:mo>.</mml:mo>
<mml:mi>B</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> and RH (0.57) and <inline-formula>
<mml:math display="inline" id="im87">
<mml:mrow>
<mml:mi>N</mml:mi>
<mml:msub>
<mml:mi>o</mml:mi>
<mml:mrow>
<mml:mi>w</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mo>&#x2013;</mml:mo>
<mml:mn>0.64</mml:mn>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula> are also worth noting, meaning that the temporal variability of plant transpiration before watering responds positively to relative humidity and negatively to the number of watering events, <inline-formula>
<mml:math display="inline" id="im88">
<mml:mrow>
<mml:mi>N</mml:mi>
<mml:msub>
<mml:mi>o</mml:mi>
<mml:mrow>
<mml:mi>w</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>. Similar observations have been made in <xref ref-type="bibr" rid="B11">Negr&#xe3;o et&#xa0;al. (2016)</xref>.</p>
<p>
<xref ref-type="fig" rid="f9">
<bold>Figures&#xa0;9A, B</bold>
</xref> are the counterparts of <xref ref-type="fig" rid="f8">
<bold>Figure&#xa0;8A</bold>
</xref> for Romaine and Oak Leaf varieties, respectively. The correlation coefficients for <inline-formula>
<mml:math display="inline" id="im89">
<mml:mrow>
<mml:msub>
<mml:mi>M</mml:mi>
<mml:mi>c</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> with EC and <inline-formula>
<mml:math display="inline" id="im90">
<mml:mrow>
<mml:mi>N</mml:mi>
<mml:msub>
<mml:mi>o</mml:mi>
<mml:mrow>
<mml:mi>w</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> for Romaine lettuce in <xref ref-type="fig" rid="f9">
<bold>Figure&#xa0;9A</bold>
</xref> are considerably higher than the values in <xref ref-type="fig" rid="f9">
<bold>Figure&#xa0;9B</bold>
</xref> for Oak Leaf. The higher correlation coefficient averages in <xref ref-type="fig" rid="f9">
<bold>Figure&#xa0;9B</bold>
</xref>, especially for RH, EC, pH, and <inline-formula>
<mml:math display="inline" id="im91">
<mml:mrow>
<mml:mi>N</mml:mi>
<mml:mi>o</mml:mi>
<mml:mo>.</mml:mo>
<mml:mi>w</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> suggested that Oak Leaf lettuce is more susceptible to changes of these environmental factors.</p>
<fig id="f9" position="float">
<label>Figure&#xa0;9</label>
<caption>
<p>
<bold>(A)</bold> Correlation between environmental parameters and evaluation indices of Romaine lettuce. <bold>(B)</bold> Correlation between environmental parameters and evaluation indices of Oak Leaf lettuce.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fpls-15-1385191-g009.tif"/>
</fig>
</sec>
</sec>
<sec id="s5" sec-type="conclusions">
<label>5</label>
<title>Conclusions</title>
<p>In this study, we developed a non-destructive approach to continuously monitoring hydroponic lettuce&#x2019;s weight <italic>in situ</italic> with a high-frequency data acquisition system assisted by IoT integration. Such weight data enabled us to define a number of insightful physiological indices to characterize plants&#x2019; physiology status, water circulation conditions, and system operation efficiency and to compute the correlation between environmental factors and between these indices and their temporal variability. The physiological properties of different lettuce varieties can also be quantitatively characterized and compared using these correlation matrices.</p>
<p>Our proposed approach is not without its limitations. For example, all the data in the time domain were only analyzed as sample variance. There was no stage segmentation for all evaluation indices. Additional future experiments will be necessary to validate the initial findings of the analyses reported in this paper, such as the different correlation coefficients for the two different lettuce varieties. From the perspective of system hardware, there was hardware to monitor CO<sub>2</sub>, water temperature, pH, and electric conductivity, but not control them precisely. The watering operation parameter was not changed during the entire experiment. Adding such variation may improve the data quality. From the perspective of signal processing and analyzing approaches, the robustness of the signal process code shall be improved to handle irregular weight change profiles. Chlorophyll and fluorescence are also great indicators to evaluate the plants&#x2019; physiology. However, they are expensive to measure. As a proof-of-concept study, it is important to develop a cost-effective approach to overcoming the budget constraints.</p>
<p>By providing continuous weight data to other environmental and plant physiological data sets, our study opens doors to numerous future research opportunities. It will be greatly beneficial to define and include new physiological indicators in future research. Another potentially fruitful topic is to use the continuous weight data to propose and validate new hypotheses about the role of water circulation in physiological processes. Numerous models and algorithms could be used for such analysis. For example, Random Forest Variable Importance Analysis could be used to analyze the impact of key environmental factors on plant physiological indicators.</p>
<p>Beyond the current development, the system can be further developed in terms of hardware, software, and implementation. From the hardware perspective, active control of water tank refill, pH control, nutrient ion control, and monitoring can further improve system controllability. More sensors with spatial distribution could improve the system sensing ability of environmental condition changes and, therefore, explore the impact of microenvironmental variation due to crop physiology. From the software perspective, CM could be utilized to further correlate physiology to measurable physics. This system is the foundation of hybrid process-based data-driven CM. It allows training and validating a more accurate and scientifically explainable CM. From the implementation perspective, this system can measure and evaluate other crops, not limited to lettuce.</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>YH: Conceptualization, Data curation, Formal analysis, Investigation, Methodology, Software, Visualization, Writing &#x2013; original draft, Writing &#x2013; review &amp; editing, Validation. ZN: Data curation, Formal analysis, Methodology, Software, Visualization, Writing &#x2013; review &amp; editing, Validation. YC: Data curation, Formal analysis, Methodology, Software, Writing &#x2013; review &amp; editing, Validation. LW: Conceptualization, Data curation, Formal analysis, Funding acquisition, Investigation, Methodology, Project administration, Resources, Software, Supervision, Validation, Visualization, Writing &#x2013; review &amp; editing.</p>
</sec>
<sec id="s8" sec-type="funding-information">
<title>Funding</title>
<p>The author(s) declare financial support was received for the research, authorship, and/or publication of this article. This work was partially supported by NSF and USDA (#1830478, #1842097, and #2021-67021-35329) and by the Plant Sciences Institute at Iowa State University.</p>
</sec>
<ack>
<title>Acknowledgments</title>
<p>The authors are grateful to Dr. Maria Salas Fernandez for advisement of operational parameter settings and fundamental introductions to plant physiology. The authors are also grateful to the editor and reviewers for their detailed and helpful feedback, which greatly improved the manuscript.</p>
</ack>
<sec id="s9" sec-type="COI-statement">
<title>Conflict of interest</title>
<p>The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec id="s10" sec-type="disclaimer">
<title>Publisher&#x2019;s note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
<fn-group>
<title>Abbreviations</title>
<fn fn-type="abbr" id="abbrev1">
<p>IoT, Internet of things; CM, Crop modeling; APSIM, Agricultural production systems simulator; CO<sub>2</sub>, Carbon dioxide; ATP, Adenosine triphosphate; N, Nitrogen; Ca, Calcium; Mg, Magnesium; CNN, Convolutional neural network; PVC, Polyvinyl chloride; PC, personal computer; USB, Universal serial bus; PPFD, Photosynthetic photon flux density; TCP/IP, Transmission control protocol/Internet protocol; LED, Light-emitting diode.</p>
</fn>
</fn-group>
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