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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.2025.1658245</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>Effects of N-K management strategies on nutrient uptake efficiency, lodging resistance, and yield in machine-transplanted rice</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" equal-contrib="yes">
<name>
<surname>Li</surname>
<given-names>Zhixin</given-names>
</name>
<xref ref-type="author-notes" rid="fn003">
<sup>&#x2020;</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/3119945/overview"/>
<role content-type="https://credit.niso.org/contributor-roles/data-curation/"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-original-draft/"/>
</contrib>
<contrib contrib-type="author" equal-contrib="yes">
<name>
<surname>Hu</surname>
<given-names>Mingming</given-names>
</name>
<xref ref-type="author-notes" rid="fn003">
<sup>&#x2020;</sup>
</xref>
<role content-type="https://credit.niso.org/contributor-roles/conceptualization/"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-original-draft/"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Liu</surname>
<given-names>Tao</given-names>
</name>
<role content-type="https://credit.niso.org/contributor-roles/investigation/"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-original-draft/"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Tang</surname>
<given-names>Yuan</given-names>
</name>
<role content-type="https://credit.niso.org/contributor-roles/writing-original-draft/"/>
<role content-type="https://credit.niso.org/contributor-roles/investigation/"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Liu</surname>
<given-names>Ruhongji</given-names>
</name>
<role content-type="https://credit.niso.org/contributor-roles/investigation/"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-original-draft/"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Peng</surname>
<given-names>Zhengbo</given-names>
</name>
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<role content-type="https://credit.niso.org/contributor-roles/writing-original-draft/"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Wang</surname>
<given-names>Cheng</given-names>
</name>
<role content-type="https://credit.niso.org/contributor-roles/investigation/"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-original-draft/"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Peng</surname>
<given-names>Zhenglan</given-names>
</name>
<role content-type="https://credit.niso.org/contributor-roles/writing-original-draft/"/>
<role content-type="https://credit.niso.org/contributor-roles/investigation/"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Wang</surname>
<given-names>Zhonglin</given-names>
</name>
<role content-type="https://credit.niso.org/contributor-roles/writing-review-editing/"/>
<role content-type="https://credit.niso.org/contributor-roles/conceptualization/"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Chen</surname>
<given-names>Zongkui</given-names>
</name>
<uri xlink:href="https://loop.frontiersin.org/people/579185/overview"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-review-editing/"/>
<role content-type="https://credit.niso.org/contributor-roles/investigation/"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Yang</surname>
<given-names>Zhiyuan</given-names>
</name>
<role content-type="https://credit.niso.org/contributor-roles/investigation/"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-review-editing/"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Sun</surname>
<given-names>Yongjian</given-names>
</name>
<uri xlink:href="https://loop.frontiersin.org/people/2684112/overview"/>
<role content-type="https://credit.niso.org/contributor-roles/investigation/"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-review-editing/"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Ma</surname>
<given-names>Jun</given-names>
</name>
<xref ref-type="author-notes" rid="fn001">
<sup>*</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1736330/overview"/>
<role content-type="https://credit.niso.org/contributor-roles/conceptualization/"/>
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</contrib-group>
<aff id="aff1">
<institution>Rice Research Institute of Sichuan Agricultural University/Crop Ecophysiology and Cultivation Key Laboratory of Sichuan Province</institution>, <addr-line>Chengdu</addr-line>,&#xa0;<country>China</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>Edited by: <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/126816/overview">Sangeeta Lenka</ext-link>, Indian Institute of Soil Science (ICAR), India</p>
</fn>
<fn fn-type="edited-by">
<p>Reviewed by: <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/611908/overview">Bharat Prakash Meena</ext-link>, Indian Institute of Soil Science (ICAR), India</p>
<p>
    <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/2576725/overview">Ak Biswas</ext-link>, Indian Council of Agricultural Research (ICAR), India</p>
</fn>
<fn fn-type="corresp" id="fn001">
<p>*Correspondence: Jun Ma, <email xlink:href="mailto:majunp2002@163.com">majunp2002@163.com</email>
</p>
</fn>
<fn fn-type="equal" id="fn003">
<p>&#x2020;These authors have contributed equally to this work and share first authorship</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>08</day>
<month>09</month>
<year>2025</year>
</pub-date>
<pub-date pub-type="collection">
<year>2025</year>
</pub-date>
<volume>16</volume>
<elocation-id>1658245</elocation-id>
<history>
<date date-type="received">
<day>02</day>
<month>07</month>
<year>2025</year>
</date>
<date date-type="accepted">
<day>19</day>
<month>08</month>
<year>2025</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2025 Li, Hu, Liu, Tang, Liu, Peng, Wang, Peng, Wang, Chen, Yang, Sun and Ma.</copyright-statement>
<copyright-year>2025</copyright-year>
<copyright-holder>Li, Hu, Liu, Tang, Liu, Peng, Wang, Peng, Wang, Chen, Yang, Sun and Ma</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>
<sec>
<title>Introduction</title>
<p>Imbalanced N&#x2013;K ratios reduce nutrient uptake efficiency while increasing lodging susceptibility, thereby destabilizing yield potential. Optimizing N&#x2013;K ratios is therefore crucial for improving nutrient efficiency, lodging resistance, and yield potential.</p>
</sec>
<sec>
<title>Methods</title>
<p>This study employed the hybrid indica rice cultivar F-you 498 as experimental material. Two K management strategies (basal:panicle = 10:0 and 5:5, denoted as K1 and K2) and three N application regimes (basal:tiller:panicle = 7:3:0, 5:3:2, and 3:3:4, denoted as N1, N2, and N3) were tested. Both fertilizers were applied at identical total rates of 150&#xa0;kg ha<sup>-</sup>&#xb9; for N and K to investigate N&#x2013;K interactions on rice growth and nutrient utilization.</p>
</sec>
<sec>
<title>Results</title>
<p>N&#x2013;K interactions significantly affected dry matter accumulation, nutrient uptake, lodging resistance, and yield. Split potassium application (K2) increased grain yield by 3.06% compared with basal-only application (K1), by increasing productive panicles, spikelets per panicle, total spikelets, and seed-setting rate. K2 enhanced post-heading dry matter translocation and improved N&#x2013;K uptake, elevating panicle N and K accumulation by 5.01% and 13.70%, respectively. K2 also significantly improved lodging resistance. Under K2, the N3 treatment further increased yield by enhancing the number of effective panicles, grains per panicle, and total spikelets, with average yield increases of 12.17% and 4.77% compared with N1 and N2, respectively. Post-heading dry matter accumulation, remobilization ratio, and contribution rate in N3 were higher than in N1 and N2, with two-year average increases of 25.54%, 5.37%, and 7.42% compared with N1, and 12.68%, 2.76%, and 2.57% compared with N2. N3 also promoted the translocation of N and K. Compared with N1 and N2, N3 increased whole-plant N translocation and N transferred to the panicle by 38.09% and 27.45%, and by 14.53% and 12.45%, respectively; whole-plant K translocation and K transferred to the panicle increased by 11.46% and 28.26%, and by 13.35% and 18.35%, respectively. Additionally, N3 improved lodging resistance by thickening internodes and stem-sheath walls. The lodging index was significantly negatively correlated with N and K accumulation in stem-sheaths.</p>
</sec>
<sec>
<title>Discussion</title>
<p>Overall, the K2N3 combination enhances post-heading assimilate allocation and nutrient translocation in machine-transplanted rice, strengthens stem mechanical properties, optimizes panicle traits, and ultimately achieves stable and high yields.</p>
</sec>
</abstract>
<kwd-group>
<kwd>rice</kwd>
<kwd>mechanical transplanted</kwd>
<kwd>N fertilizer</kwd>
<kwd>K fertilizer</kwd>
<kwd>nutrient utilization</kwd>
<kwd>yield</kwd>
</kwd-group>
<counts>
<fig-count count="2"/>
<table-count count="10"/>
<equation-count count="24"/>
<ref-count count="41"/>
<page-count count="18"/>
<word-count count="9134"/>
</counts>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-in-acceptance</meta-name>
<meta-value>Plant Nutrition</meta-value>
</custom-meta>
</custom-meta-wrap>
</article-meta>
</front>
<body>
<sec id="s1" sec-type="intro">
<label>1</label>
<title>Introduction</title>
<p>As a primary food crop, enhancing the cultivation and productivity of rice has long been a priority in agricultural research. Recent technological advancements and agricultural modernization have amplified the importance of mechanized planting in rice production. Compared with manual transplanting, machine-transplanted rice offers superior operational efficiency and reduced labor intensity (<xref ref-type="bibr" rid="B2">Bhatt et&#xa0;al., 2023</xref>), making it a key cultural practice in major rice-growing regions of China. Current research predominantly focuses on planting density (<xref ref-type="bibr" rid="B1">Begum et&#xa0;al., 2022</xref>), fertilization methods (<xref ref-type="bibr" rid="B21">Mohapatra et&#xa0;al., 2022</xref>), micronutrient supplementation (<xref ref-type="bibr" rid="B15">Jinjala et&#xa0;al., 2024</xref>), or single-nutrient management (<xref ref-type="bibr" rid="B13">Jiang et&#xa0;al., 2024</xref>). However, persistent misalignment between conventional fertilization practices and the nutrient supply&#x2013;demand dynamics of mechanized rice systems continues to constrain yield potential. This highlights the urgent need to mitigate structural imbalances in nutrient supply&#x2013;demand patterns under mechanized cultivation to further unlock rice productivity and safeguard food security.</p>
<p>Nitrogen (N) is one of the essential nutrients required for rice growth. It enhances the synthesis of photosynthates, promotes the differentiation of tillers into productive panicles and florets (<xref ref-type="bibr" rid="B25">Song et&#xa0;al., 2025</xref>; <xref ref-type="bibr" rid="B4">Chen et&#xa0;al., 2018</xref>), and facilitates N remobilization to grains by regulating the activities of nitrate reductase (NR) and glutamine synthetase (GS) (<xref ref-type="bibr" rid="B31">Wu et&#xa0;al., 2025</xref>). An appropriate N application rate (180&#x2013;240 kg ha<sup>-1</sup>), with a basal-to-panicle fertilizer ratio of 6:4, can help balance source&#x2013;sink dynamics and improve the efficiency of assimilate translocation. In machine-transplanted rice production, excessive reliance on N fertilizers for yield pursuit, while neglecting balanced potassium (K) application, often results in structural imbalance in fertilization. K plays a critical role in rice growth by acting as an activator of various enzymes, enhancing CO<sub>2</sub> assimilation, and promoting the translocation of photosynthates to developing grains. Additionally, K regulates N metabolism through its effects on enzymes such as NR and GS, thereby improving N remobilization to the grain and increasing the N harvest index (<xref ref-type="bibr" rid="B8">Gao et&#xa0;al., 2025</xref>; <xref ref-type="bibr" rid="B27">Tian et&#xa0;al., 2014</xref>). Studies have shown that balanced application of N and K not only improves nutrient use efficiency and reduces nutrient losses that contribute to environmental pollution, but also enhances lodging resistance by promoting lignin biosynthesis and thickening of stem cell walls (<xref ref-type="bibr" rid="B3">Chen et&#xa0;al., 2024</xref>; <xref ref-type="bibr" rid="B17">Lei et&#xa0;al., 2025</xref>).</p>
<p>In recent years, progress has been made in nutrient management research for machine-transplanted rice. Studies have shown that machine-transplanted rice requires more N (with an optimal N application rate of 225&#xa0;kg ha<sup>-1</sup>) than conventional cultivation (160&#x2013;200 kg ha<sup>-1</sup>) (<xref ref-type="bibr" rid="B34">Yao et&#xa0;al., 2021</xref>). Therefore, quantifying N demand is crucial for diagnosing N nutritional status and improving N use efficiency in mechanized systems. Further research has revealed that combined N and K application can balance the number of effective panicles and the length of basal internodes in machine-transplanted rice. Specifically, when 180&#xa0;kg ha<sup>-</sup>&#xb9; of N and 120&#xa0;kg ha<sup>-</sup>&#xb9; of K were applied, dry matter accumulation and sheath density increased, while bending moment decreased and breaking resistance improved, resulting in significantly higher grain yields (<xref ref-type="bibr" rid="B26">Sun et&#xa0;al., 2017</xref>). In addition, increasing K by 30% could offset the adverse effects of a 30% N reduction, significantly improving spikelet number and seed-setting rate, thereby enhancing rice productivity (<xref ref-type="bibr" rid="B5">Deng et&#xa0;al., 2024</xref>). However, previous studies have predominantly focused on single-nutrient input strategies or comparisons of fertilization rates, lacking a comprehensive analysis of N&#x2013;K interactions and their optimal ratios in machine-transplanted rice cultivation. Addressing this gap is essential to resolve the current dilemma in mechanized rice production&#x2014;high yields without efficiency, and increased output without proportional economic returns. Therefore, this study integrates the agronomic advantages of potted nursery mat transplanting with the physiological characteristics of nutrient demand in rice. The objective is to develop an optimal N&#x2013;K application pattern that maximizes dry matter accumulation and translocation, nutrient uptake and utilization, lodging resistance, and grain yield. This work aims to provide a comprehensive theoretical foundation and a refined technical framework for achieving high-yield, resource-efficient, and environmentally sustainable rice production under mechanized cultivation systems.</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 materials</title>
<p>The test variety was F You 498, a hybrid indica rice cultivar with a total growth duration of 155 days. The preceding crop was wheat. Field experiments were conducted during the 2018 and 2019 growing seasons at the Modern Agricultural Science and Technology Park of Sichuan Agricultural University, located in Chongzhou, Chengdu, Sichuan Province (30&#xb0;42&#x2032; N, 103&#xb0;28&#x2032; E). The surface soil layer (0&#x2013;20 cm) was classified as sandy loam, and baseline soil fertility parameters are shown in <xref ref-type="table" rid="T1">
<bold>Table&#xa0;1</bold>
</xref>.</p>
<table-wrap id="T1" position="float">
<label>Table&#xa0;1</label>
<caption>
<p>Chemical properties of topsoil in the test field from 2018 to 2019.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" align="center">Year</th>
<th valign="middle" align="center">Organic matter (g kg<sup>-1</sup>)</th>
<th valign="middle" align="center">Total N (mg kg<sup>-1</sup>)</th>
<th valign="middle" align="center">Available P (mg kg<sup>-1</sup>)</th>
<th valign="middle" align="center">Available K (mg kg<sup>-1</sup>)</th>
<th valign="middle" align="center">pH</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="middle" align="center">2018</td>
<td valign="middle" align="center">31.20</td>
<td valign="middle" align="center">1.64</td>
<td valign="middle" align="center">31.71</td>
<td valign="middle" align="center">131.22</td>
<td valign="middle" align="center">6.02</td>
</tr>
<tr>
<td valign="middle" align="center">2019</td>
<td valign="middle" align="center">32.31</td>
<td valign="middle" align="center">1.78</td>
<td valign="middle" align="center">32.54</td>
<td valign="middle" align="center">121.67</td>
<td valign="middle" align="center">6.36</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>Meteorological data for the rice growth periods in 2018 and 2019 were obtained from the Sichuan Meteorological Bureau (<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>Average temperature and rainfall during the rice growth period in the experimental area from 2018 to 2019.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fpls-16-1658245-g001.tif">
<alt-text content-type="machine-generated">Bar and line graph showing precipitation and mean temperature from May to October for 2018 and 2019. Precipitation is in millimeters, with higher values in 2018 during July. Mean temperature is in degrees Celsius, with similar trends for both years, peaking in July.</alt-text>
</graphic>
</fig>
</sec>
<sec id="s2_2">
<label>2.2</label>
<title>Experimental design</title>
<p>A split-plot design with two factors was implemented: main plots were assigned to two K application regimes (basal:panicle = 10:0 [K1] and 5:5 [K2]), and subplots to three N splitting regimes (basal:tillering:panicle = 7:3:0 [N1], 5:3:2 [N2], and 3:3:4 [N3]). Fertilizers included urea (N&#x2265;46%), calcium superphosphate (P<sub>2</sub>O<sub>5</sub>&#x2265;12%), and potassium chloride (K<sub>2</sub>O&#x2265;60%). Total N and K inputs were uniformly 150&#xa0;kg ha<sup>-1</sup>. Basal N and K were applied pre-transplanting, tillering fertilizer at the 5-leaf stage, and panicle fertilizer split equally at the 4th and 2nd leaf tip emergence stages. Phosphorus (P<sub>2</sub>O<sub>5&#x2013;</sub>75 kg ha<sup>-1</sup>) was broadcast entirely as basal fertilizer.</p>
<p>Pot-mat seedlings were machine-transplanted on May 16, 2018, and May 20, 2019, at a hill spacing of 30&#xa0;cm &#xd7; 18&#xa0;cm with 2&#x2013;3 seedlings per hill. The experiment comprised 18 plots (three replicates), each covering 15 m<sup>2</sup>.&#xa0;A 30-cm-wide and 20-cm-high soil ridge wrapped in plastic film separated the plots to enable independent water and fertilizer management. All other practices followed conventional field management protocols.</p>
</sec>
<sec id="s2_3">
<label>2.3</label>
<title>Experimental measurement items and methods</title>
<sec id="s2_3_1">
<label>2.3.1</label>
<title>Soil basic fertility determination</title>
<p>Prior to land preparation, soil samples were collected using a five-point sampling method. After natural air-drying and sieving, soil pH, organic matter, total N, available N, available P, and available K were measured using standard analytical methods.</p>
</sec>
<sec id="s2_3_2">
<label>2.3.2</label>
<title>Yield and its components</title>
<p>At maturity, 30 representative hills were selected from each plot to record the number of effective panicles. Five hills per plot were harvested for indoor analysis of spikelet number per panicle, seed-setting rate, and 1,000-grain weight. Grain yield was calculated based on the actual number of hills, excluding border rows.</p>
</sec>
<sec id="s2_3_3">
<label>2.3.3</label>
<title>Aboveground dry matter translocation and accumulation</title>
<p>At rice tillering peak, jointing, heading, and maturity stages, three representative hills from each plot were sampled and separated into stem, leaf, and panicle components. Samples were deactivated at 105&#xb0;C for 30&#xa0;min and dried at 80&#xb0;C to constant weight. The dry weight was recorded and used to calculate the following parameters:</p>
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<mml:mtable>
<mml:mtr columnalign="left">
<mml:mtd columnalign="left">
<mml:mtext>Post</mml:mtext>
<mml:mo>-</mml:mo>
<mml:mtext>heading&#xa0;dry&#xa0;matter&#xa0;accumulation&#xa0;ratio</mml:mtext>
<mml:mo stretchy="false">(</mml:mo>
<mml:mo>%</mml:mo>
<mml:mo stretchy="false">)</mml:mo>
</mml:mtd>
</mml:mtr>
<mml:mtr columnalign="left">
<mml:mtd columnalign="left">
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mtext>PDA</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mtext>TDM</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mtext>maturity</mml:mtext>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfrac>
<mml:mo>&#xd7;</mml:mo>
<mml:mn>100</mml:mn>
</mml:mtd>
</mml:mtr>
</mml:mtable>
</mml:mrow>
</mml:math>
</disp-formula>
<disp-formula>
<mml:math display="block" id="M4">
<mml:mrow>
<mml:mtable>
<mml:mtr columnalign="left">
<mml:mtd columnalign="left">
<mml:mtext>Contribution&#xa0;rate&#xa0;of&#xa0;post</mml:mtext>
<mml:mo>-</mml:mo>
<mml:mtext>heading&#xa0;accumulation</mml:mtext>
<mml:mo stretchy="false">(</mml:mo>
<mml:mo>%</mml:mo>
<mml:mo stretchy="false">)</mml:mo>
</mml:mtd>
</mml:mtr>
<mml:mtr columnalign="left">
<mml:mtd columnalign="left">
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mtext>PDA</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mtext>DM</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mtext>panicle</mml:mtext>
<mml:mo>,</mml:mo>
<mml:mtext>&#xa0;maturity</mml:mtext>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfrac>
<mml:mo>&#xd7;</mml:mo>
<mml:mn>100</mml:mn>
</mml:mtd>
</mml:mtr>
</mml:mtable>
</mml:mrow>
</mml:math>
</disp-formula>
<disp-formula>
<mml:math display="block" id="M5">
<mml:mrow>
<mml:mtable>
<mml:mtr columnalign="left">
<mml:mtd columnalign="left">
<mml:mtext>Stem</mml:mtext>
<mml:mo>-</mml:mo>
<mml:mtext>leaf&#xa0;dry&#xa0;matter&#xa0;output</mml:mtext>
<mml:mo stretchy="false">(</mml:mo>
<mml:msup>
<mml:mrow>
<mml:mtext>t&#xa0;ha</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msup>
<mml:mo stretchy="false">)</mml:mo>
</mml:mtd>
</mml:mtr>
<mml:mtr columnalign="left">
<mml:mtd columnalign="left">
<mml:mo>=</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mtext>DM</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mtext>stem-leaf</mml:mtext>
<mml:mo>,</mml:mo>
<mml:mtext>&#xa0;heading</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mtext>DM</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mtext>stem-leaf</mml:mtext>
<mml:mo>,</mml:mo>
<mml:mtext>&#xa0;maturity</mml:mtext>
</mml:mrow>
</mml:msub>
</mml:mtd>
</mml:mtr>
</mml:mtable>
</mml:mrow>
</mml:math>
</disp-formula>
<disp-formula>
<mml:math display="block" id="M6">
<mml:mrow>
<mml:mtable>
<mml:mtr columnalign="left">
<mml:mtd columnalign="left">
<mml:mtext>Output&#xa0;rate&#xa0;of&#xa0;stem</mml:mtext>
<mml:mo>-</mml:mo>
<mml:mtext>leaf&#xa0;dry&#xa0;matter</mml:mtext>
<mml:mo stretchy="false">(</mml:mo>
<mml:mo>%</mml:mo>
<mml:mo stretchy="false">)</mml:mo>
</mml:mtd>
</mml:mtr>
<mml:mtr columnalign="left">
<mml:mtd columnalign="left">
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mtext>output</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mtext>DM</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mtext>stem-leaf</mml:mtext>
<mml:mo>,</mml:mo>
<mml:mo>&#xa0;</mml:mo>
<mml:mtext>heading</mml:mtext>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfrac>
<mml:mo>&#xd7;</mml:mo>
<mml:mn>100</mml:mn>
</mml:mtd>
</mml:mtr>
</mml:mtable>
</mml:mrow>
</mml:math>
</disp-formula>
<disp-formula>
<mml:math display="block" id="M7">
<mml:mrow>
<mml:mtable>
<mml:mtr columnalign="left">
<mml:mtd columnalign="left">
<mml:mtext>Transformation&#xa0;rate&#xa0;of&#xa0;stem</mml:mtext>
<mml:mo>-</mml:mo>
<mml:mtext>leaf&#xa0;dry&#xa0;matter</mml:mtext>
<mml:mo stretchy="false">(</mml:mo>
<mml:mo>%</mml:mo>
<mml:mo stretchy="false">)</mml:mo>
</mml:mtd>
</mml:mtr>
<mml:mtr columnalign="left">
<mml:mtd columnalign="left">
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mtext>output</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mtext>DM</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mtext>panicle</mml:mtext>
<mml:mo>,</mml:mo>
<mml:mtext>&#xa0;maturity</mml:mtext>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfrac>
<mml:mo>&#xd7;</mml:mo>
<mml:mn>100</mml:mn>
</mml:mtd>
</mml:mtr>
</mml:mtable>
</mml:mrow>
</mml:math>
</disp-formula>
<disp-formula>
<mml:math display="block" id="M8">
<mml:mrow>
<mml:mtable>
<mml:mtr columnalign="left">
<mml:mtd columnalign="left">
<mml:mtext>Stem</mml:mtext>
<mml:mo>-</mml:mo>
<mml:mtext>sheath&#xa0;dry&#xa0;matter&#xa0;output&#xa0;ratio</mml:mtext>
<mml:mo stretchy="false">(</mml:mo>
<mml:mo>%</mml:mo>
<mml:mo stretchy="false">)</mml:mo>
</mml:mtd>
</mml:mtr>
<mml:mtr columnalign="left">
<mml:mtd columnalign="left">
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mtext>DW</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mtext>stem</mml:mtext>
<mml:mo>-</mml:mo>
<mml:mtext>sheath</mml:mtext>
<mml:mo>,</mml:mo>
<mml:mtext>&#xa0;heading</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mtext>DW</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mtext>stem</mml:mtext>
<mml:mo>-</mml:mo>
<mml:mtext>sheath</mml:mtext>
<mml:mo>,</mml:mo>
<mml:mtext>&#xa0;maturity</mml:mtext>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mtext>DW</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mtext>stem</mml:mtext>
<mml:mo>-</mml:mo>
<mml:mtext>sheath</mml:mtext>
<mml:mo>,</mml:mo>
<mml:mtext>&#xa0;heading</mml:mtext>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfrac>
<mml:mo>&#xd7;</mml:mo>
<mml:mn>100</mml:mn>
</mml:mtd>
</mml:mtr>
</mml:mtable>
</mml:mrow>
</mml:math>
</disp-formula>
<disp-formula>
<mml:math display="block" id="M9">
<mml:mrow>
<mml:mtable>
<mml:mtr columnalign="left">
<mml:mtd columnalign="left">
<mml:mtext>Stem</mml:mtext>
<mml:mo>-</mml:mo>
<mml:mtext>sheath&#xa0;dry&#xa0;matter&#xa0;conversion&#xa0;ratio</mml:mtext>
<mml:mo stretchy="false">(</mml:mo>
<mml:mo>%</mml:mo>
<mml:mo stretchy="false">)</mml:mo>
</mml:mtd>
</mml:mtr>
<mml:mtr columnalign="left">
<mml:mtd columnalign="left">
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mtext>DW</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mtext>stem</mml:mtext>
<mml:mo>-</mml:mo>
<mml:mtext>sheath</mml:mtext>
<mml:mo>,</mml:mo>
<mml:mtext>&#xa0;heading</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mtext>DW</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mtext>stem-sheath</mml:mtext>
<mml:mo>,</mml:mo>
<mml:mtext>&#xa0;maturity</mml:mtext>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mtext>DW</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mtext>panicle</mml:mtext>
<mml:mo>,</mml:mo>
<mml:mtext>&#xa0;maturity</mml:mtext>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfrac>
<mml:mo>&#xd7;</mml:mo>
<mml:mn>100</mml:mn>
</mml:mtd>
</mml:mtr>
</mml:mtable>
</mml:mrow>
</mml:math>
</disp-formula>
<disp-formula>
<mml:math display="block" id="M10">
<mml:mrow>
<mml:mtable>
<mml:mtr columnalign="left">
<mml:mtd columnalign="left">
<mml:mtext>Leaf&#xa0;dry&#xa0;matter&#xa0;output&#xa0;ratio</mml:mtext>
<mml:mo stretchy="false">(</mml:mo>
<mml:mo>%</mml:mo>
<mml:mo stretchy="false">)</mml:mo>
</mml:mtd>
</mml:mtr>
<mml:mtr columnalign="left">
<mml:mtd columnalign="left">
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mtext>DW</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mtext>leaf</mml:mtext>
<mml:mo>,</mml:mo>
<mml:mtext>&#xa0;heading</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mtext>DW</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mtext>leaf</mml:mtext>
<mml:mo>,</mml:mo>
<mml:mtext>&#xa0;maturity</mml:mtext>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mtext>DW</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mtext>leaf</mml:mtext>
<mml:mo>,</mml:mo>
<mml:mtext>&#xa0;heading</mml:mtext>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfrac>
<mml:mo>&#xd7;</mml:mo>
<mml:mn>100</mml:mn>
</mml:mtd>
</mml:mtr>
</mml:mtable>
</mml:mrow>
</mml:math>
</disp-formula>
<disp-formula>
<mml:math display="block" id="M11">
<mml:mrow>
<mml:mtable>
<mml:mtr columnalign="left">
<mml:mtd columnalign="left">
<mml:mtext>Leaf&#xa0;dry&#xa0;matter&#xa0;conversion&#xa0;ratio</mml:mtext>
<mml:mo stretchy="false">(</mml:mo>
<mml:mo>%</mml:mo>
<mml:mo stretchy="false">)</mml:mo>
</mml:mtd>
</mml:mtr>
<mml:mtr columnalign="left">
<mml:mtd columnalign="left">
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mtext>DW</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mtext>leaf</mml:mtext>
<mml:mo>,</mml:mo>
<mml:mtext>&#xa0;heading</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mtext>DW</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mtext>leaf</mml:mtext>
<mml:mo>,</mml:mo>
<mml:mtext>&#xa0;maturity</mml:mtext>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mtext>DW</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mtext>panicle</mml:mtext>
<mml:mo>,</mml:mo>
<mml:mtext>&#xa0;maturity</mml:mtext>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfrac>
<mml:mo>&#xd7;</mml:mo>
<mml:mn>100</mml:mn>
</mml:mtd>
</mml:mtr>
</mml:mtable>
</mml:mrow>
</mml:math>
</disp-formula>
<disp-formula>
<mml:math display="block" id="M12">
<mml:mrow>
<mml:mtext>Harvest&#xa0;index</mml:mtext>
<mml:mo stretchy="false">(</mml:mo>
<mml:mo>%</mml:mo>
<mml:mo stretchy="false">)</mml:mo>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mtext>GDM</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mtext>TDM</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mtext>maturity</mml:mtext>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfrac>
<mml:mo>&#xd7;</mml:mo>
<mml:mn>100</mml:mn>
</mml:mrow>
</mml:math>
</disp-formula>
<p>All abbreviations in equations follow conventional agronomic terminology: DW (dry weight), TDM (total dry matter), PDA (post-heading dry matter accumulation), and GDM (grain dry matter) represent biomass measurements. Subscripts specify plant organs (stem&#x2013;sheath, leaf, panicle) and growth stages (heading, maturity). Units comply with SI standards (t ha<sup>-</sup>&#xb9; for yield, % for ratios).</p>
</sec>
<sec id="s2_3_4">
<label>2.3.4</label>
<title>Nitrogen and potassium uptake and utilization characteristics</title>
<p>Plant samples from Section 1.3.3 were pulverized through an 80-mesh sieve. After wet digestion with concentrated H<sub>2</sub>SO<sub>4</sub> total N content in organs was determined by micro-Kjeldahl distillation and titration, while total K content was measured via flame photometry. N and K uptake and utilization efficiencies were defined according to <xref ref-type="bibr" rid="B32">Wu et&#xa0;al. (2008)</xref> as follows:</p>
<disp-formula>
<mml:math display="block" id="M13">
<mml:mrow>
<mml:mtable>
<mml:mtr columnalign="left">
<mml:mtd columnalign="left">
<mml:mtext>N</mml:mtext>
<mml:mo stretchy="false">(</mml:mo>
<mml:mtext>K</mml:mtext>
<mml:mo stretchy="false">)</mml:mo>
<mml:mtext>&#xa0;accumulation</mml:mtext>
<mml:mo stretchy="false">(</mml:mo>
<mml:msup>
<mml:mrow>
<mml:mtext>kg&#xa0;ha</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msup>
<mml:mo stretchy="false">)</mml:mo>
</mml:mtd>
</mml:mtr>
<mml:mtr columnalign="left">
<mml:mtd columnalign="left">
<mml:mo>=</mml:mo>
<mml:mo stretchy="false">(</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mtext>DW</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mtext>stem</mml:mtext>
<mml:mo>-</mml:mo>
<mml:mtext>sheath</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mo>&#xd7;</mml:mo>
<mml:mtext>N</mml:mtext>
<mml:msub>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mtext>K</mml:mtext>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mrow>
<mml:mtext>stem</mml:mtext>
<mml:mo>-</mml:mo>
<mml:mtext>sheath</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mo stretchy="false">)</mml:mo>
<mml:mo>+</mml:mo>
<mml:mo stretchy="false">(</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mtext>DW</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mtext>leaf</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mo>&#xd7;</mml:mo>
<mml:mtext>N</mml:mtext>
<mml:msub>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mtext>K</mml:mtext>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mrow>
<mml:mtext>leaf</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mo stretchy="false">)</mml:mo>
</mml:mtd>
</mml:mtr>
<mml:mtr columnalign="left">
<mml:mtd columnalign="left">
<mml:mo>+</mml:mo>
<mml:mo stretchy="false">(</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mtext>DW</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mtext>panicle</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mo>&#xd7;</mml:mo>
<mml:mtext>N</mml:mtext>
<mml:msub>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mtext>K</mml:mtext>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mrow>
<mml:mtext>panicle</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mo stretchy="false">)</mml:mo>
<mml:mo>&#xa0;</mml:mo>
</mml:mtd>
</mml:mtr>
</mml:mtable>
</mml:mrow>
</mml:math>
</disp-formula>
<disp-formula>
<mml:math display="block" id="M14">
<mml:mrow>
<mml:mtable>
<mml:mtr columnalign="left">
<mml:mtd columnalign="left">
<mml:mtext>N</mml:mtext>
<mml:mo stretchy="false">(</mml:mo>
<mml:mtext>K</mml:mtext>
<mml:mo stretchy="false">)</mml:mo>
<mml:mo>&#x2004;</mml:mo>
<mml:mtext>dry&#xa0;matter&#xa0;production&#xa0;efficiency</mml:mtext>
<mml:mo stretchy="false">(</mml:mo>
<mml:msup>
<mml:mrow>
<mml:mtext>kg&#xa0;kg</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msup>
<mml:mo stretchy="false">)</mml:mo>
</mml:mtd>
</mml:mtr>
<mml:mtr columnalign="left">
<mml:mtd columnalign="left">
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mtext>TDM</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mtext>maturity</mml:mtext>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:mtext>N</mml:mtext>
<mml:mo stretchy="false">(</mml:mo>
<mml:mtext>K</mml:mtext>
<mml:mo stretchy="false">)</mml:mo>
<mml:mtext>&#xa0;accumulation</mml:mtext>
</mml:mrow>
</mml:mfrac>
</mml:mtd>
</mml:mtr>
</mml:mtable>
</mml:mrow>
</mml:math>
</disp-formula>
<disp-formula>
<mml:math display="block" id="M15">
<mml:mrow>
<mml:mtext>N</mml:mtext>
<mml:mo stretchy="false">(</mml:mo>
<mml:mtext>K</mml:mtext>
<mml:mo stretchy="false">)</mml:mo>
<mml:mo>&#x2004;</mml:mo>
<mml:mtext>grain&#xa0;production&#xa0;efficiency</mml:mtext>
<mml:mo stretchy="false">(</mml:mo>
<mml:msup>
<mml:mrow>
<mml:mtext>kg&#xa0;kg</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msup>
<mml:mo stretchy="false">)</mml:mo>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mtext>Grain&#xa0;yield</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mtext>N</mml:mtext>
<mml:mo stretchy="false">(</mml:mo>
<mml:mtext>K</mml:mtext>
<mml:mo stretchy="false">)</mml:mo>
<mml:mtext>&#xa0;accumulation</mml:mtext>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
</disp-formula>
<disp-formula>
<mml:math display="block" id="M16">
<mml:mrow>
<mml:mtext>N</mml:mtext>
<mml:mo stretchy="false">(</mml:mo>
<mml:mtext>K</mml:mtext>
<mml:mo stretchy="false">)</mml:mo>
<mml:mtext>&#xa0;harvest&#xa0;index</mml:mtext>
<mml:mo stretchy="false">(</mml:mo>
<mml:mo>%</mml:mo>
<mml:mo stretchy="false">)</mml:mo>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mtext>N</mml:mtext>
<mml:msub>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mtext>K</mml:mtext>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mrow>
<mml:mtext>panicle</mml:mtext>
<mml:mo>,</mml:mo>
<mml:mtext>&#xa0;maturity</mml:mtext>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:mtext>N</mml:mtext>
<mml:mo stretchy="false">(</mml:mo>
<mml:mtext>K</mml:mtext>
<mml:mo stretchy="false">)</mml:mo>
<mml:mtext>&#xa0;accumulation</mml:mtext>
</mml:mrow>
</mml:mfrac>
<mml:mo>&#xd7;</mml:mo>
<mml:mn>100</mml:mn>
</mml:mrow>
</mml:math>
</disp-formula>
<disp-formula>
<mml:math display="block" id="M17">
<mml:mrow>
<mml:mtable>
<mml:mtr columnalign="left">
<mml:mtd columnalign="left">
<mml:mtext>Stem</mml:mtext>
<mml:mo>-</mml:mo>
<mml:mtext>leaf&#xa0;N</mml:mtext>
<mml:mo stretchy="false">(</mml:mo>
<mml:mtext>K</mml:mtext>
<mml:mo stretchy="false">)</mml:mo>
<mml:mtext>&#xa0;export&#xa0;amount</mml:mtext>
<mml:mo stretchy="false">(</mml:mo>
<mml:msup>
<mml:mrow>
<mml:mtext>kg&#xa0;ha</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msup>
<mml:mo stretchy="false">)</mml:mo>
</mml:mtd>
</mml:mtr>
<mml:mtr columnalign="left">
<mml:mtd columnalign="left">
<mml:mo>=</mml:mo>
<mml:mtext>N</mml:mtext>
<mml:msub>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mtext>K</mml:mtext>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mrow>
<mml:mtext>Stem</mml:mtext>
<mml:mo>-</mml:mo>
<mml:mtext>leaf</mml:mtext>
<mml:mo>,</mml:mo>
<mml:mtext>&#xa0;heading</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:mtext>N</mml:mtext>
<mml:msub>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mtext>K</mml:mtext>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mrow>
<mml:mtext>Stem</mml:mtext>
<mml:mo>-</mml:mo>
<mml:mtext>leaf</mml:mtext>
<mml:mo>,</mml:mo>
<mml:mtext>&#xa0;maturity</mml:mtext>
</mml:mrow>
</mml:msub>
</mml:mtd>
</mml:mtr>
</mml:mtable>
</mml:mrow>
</mml:math>
</disp-formula>
<disp-formula>
<mml:math display="block" id="M18">
<mml:mrow>
<mml:mtext>Stem</mml:mtext>
<mml:mo>-</mml:mo>
<mml:mtext>leaf&#xa0;N</mml:mtext>
<mml:mo stretchy="false">(</mml:mo>
<mml:mtext>K</mml:mtext>
<mml:mo stretchy="false">)</mml:mo>
<mml:mtext>&#xa0;export&#xa0;rate</mml:mtext>
<mml:mo stretchy="false">(</mml:mo>
<mml:mo>%</mml:mo>
<mml:mo stretchy="false">)</mml:mo>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mtext>Export&#xa0;amount</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mtext>N</mml:mtext>
<mml:msub>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mtext>K</mml:mtext>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mrow>
<mml:mtext>Stem-leaf</mml:mtext>
<mml:mo>,</mml:mo>
<mml:mtext>&#xa0;heading</mml:mtext>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfrac>
<mml:mo>&#xd7;</mml:mo>
<mml:mn>100</mml:mn>
</mml:mrow>
</mml:math>
</disp-formula>
<disp-formula>
<mml:math display="block" id="M19">
<mml:mrow>
<mml:mtable>
<mml:mtr columnalign="left">
<mml:mtd columnalign="left">
<mml:mtext>Contribution&#xa0;rate&#xa0;of&#xa0;stem</mml:mtext>
<mml:mo>-</mml:mo>
<mml:mtext>leaf&#xa0;N</mml:mtext>
<mml:mo stretchy="false">(</mml:mo>
<mml:mtext>K</mml:mtext>
<mml:mo stretchy="false">)</mml:mo>
<mml:mtext>&#xa0;export</mml:mtext>
<mml:mo stretchy="false">(</mml:mo>
<mml:mo>%</mml:mo>
<mml:mo stretchy="false">)</mml:mo>
</mml:mtd>
</mml:mtr>
<mml:mtr columnalign="left">
<mml:mtd columnalign="left">
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mtext>Export&#xa0;amount</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mtext>N</mml:mtext>
<mml:msub>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mtext>K</mml:mtext>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mrow>
<mml:mtext>panicle</mml:mtext>
<mml:mo>,</mml:mo>
<mml:mtext>&#xa0;maturity</mml:mtext>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfrac>
<mml:mo>&#xd7;</mml:mo>
<mml:mn>100</mml:mn>
</mml:mtd>
</mml:mtr>
</mml:mtable>
</mml:mrow>
</mml:math>
</disp-formula>
<disp-formula>
<mml:math display="block" id="M20">
<mml:mrow>
<mml:mtable>
<mml:mtr columnalign="left">
<mml:mtd columnalign="left">
<mml:mtext>Increased&#xa0;grain&#xa0;N</mml:mtext>
<mml:mo stretchy="false">(</mml:mo>
<mml:mtext>K</mml:mtext>
<mml:mo stretchy="false">)</mml:mo>
<mml:mo>&#xa0;</mml:mo>
<mml:mo stretchy="false">(</mml:mo>
<mml:msup>
<mml:mrow>
<mml:mtext>kg&#xa0;ha</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msup>
<mml:mo stretchy="false">)</mml:mo>
</mml:mtd>
</mml:mtr>
<mml:mtr columnalign="left">
<mml:mtd columnalign="left">
<mml:mo>=</mml:mo>
<mml:mtext>N</mml:mtext>
<mml:msub>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mtext>K</mml:mtext>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mrow>
<mml:mtext>panicle</mml:mtext>
<mml:mo>,</mml:mo>
<mml:mtext>&#xa0;maturity</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:mtext>N</mml:mtext>
<mml:msub>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mtext>K</mml:mtext>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mrow>
<mml:mtext>panicle</mml:mtext>
<mml:mo>,</mml:mo>
<mml:mtext>&#xa0;heading</mml:mtext>
</mml:mrow>
</mml:msub>
</mml:mtd>
</mml:mtr>
</mml:mtable>
</mml:mrow>
</mml:math>
</disp-formula>
<p>All equations follow standard agronomic conventions with clear subscript notation: DW (dry weight), TDM (total dry matter), and N(K) (nitrogen/potassium content) are key parameters. Subscripts indicate plant organs (stem&#x2013;sheath, leaf, panicle) and growth stages (heading, maturity).</p>
</sec>
<sec id="s2_3_5">
<label>2.3.5</label>
<title>Lodging resistance determination</title>
<p>At 20 days post-heading, five uniform plants per plot were selected. For each plant, three stems were measured for internode lengths (S2, S3, S4), fresh weights, and breaking strength of internodes. Breaking force was tested using a 0.001&#xa0;N digital dynamometer with a 5-cm spacing between support points (<xref ref-type="bibr" rid="B16">Lei et&#xa0;al., 2013</xref>; <xref ref-type="bibr" rid="B33">Yang et&#xa0;al., 2013</xref>). After testing, stem diameters and wall thickness were measured with a vernier caliper.</p>
<disp-formula>
<mml:math display="block" id="M21">
<mml:mrow>
<mml:mtext>Stem&#xa0;diameter&#xa0;</mml:mtext>
<mml:mo stretchy="false">(</mml:mo>
<mml:mtext>mm</mml:mtext>
<mml:mo stretchy="false">)</mml:mo>
<mml:mo>=</mml:mo>
<mml:mtext>average&#xa0;of&#xa0;long&#xa0;and&#xa0;short&#xa0;axes</mml:mtext>
</mml:mrow>
</mml:math>
</disp-formula>
<disp-formula>
<mml:math display="block" id="M22">
<mml:mrow>
<mml:mtable>
<mml:mtr columnalign="left">
<mml:mtd columnalign="left">
<mml:mtext>Internode&#xa0;resistance</mml:mtext>
<mml:mo stretchy="false">(</mml:mo>
<mml:mtext>g&#xa0;cm</mml:mtext>
<mml:mo stretchy="false">)</mml:mo>
</mml:mtd>
</mml:mtr>
<mml:mtr columnalign="left">
<mml:mtd columnalign="left">
<mml:mo>=</mml:mo>
<mml:mtext>internode</mml:mtext>
<mml:mo>-</mml:mo>
<mml:mtext>panicle&#xa0;distance</mml:mtext>
<mml:mo>&#xd7;</mml:mo>
<mml:mtext>fresh&#xa0;weight</mml:mtext>
</mml:mtd>
</mml:mtr>
</mml:mtable>
</mml:mrow>
</mml:math>
</disp-formula>
<disp-formula>
<mml:math display="block" id="M23">
<mml:mrow>
<mml:mtext>Breaking&#xa0;resistance&#xa0;</mml:mtext>
<mml:mo stretchy="false">(</mml:mo>
<mml:mtext>g&#xa0;cm</mml:mtext>
<mml:mo stretchy="false">)</mml:mo>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mtext>breaking&#xa0;force</mml:mtext>
<mml:mo>&#xd7;</mml:mo>
<mml:mtext>support&#xa0;distance</mml:mtext>
</mml:mrow>
<mml:mn>4</mml:mn>
</mml:mfrac>
</mml:mrow>
</mml:math>
</disp-formula>
<disp-formula>
<mml:math display="block" id="M24">
<mml:mrow>
<mml:mtext>Lodging&#xa0;index&#xa0;</mml:mtext>
<mml:mo stretchy="false">(</mml:mo>
<mml:mo>%</mml:mo>
<mml:mo stretchy="false">)</mml:mo>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mtext>bending&#xa0;moment</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mtext>breaking&#xa0;momen</mml:mtext>
</mml:mrow>
</mml:mfrac>
<mml:mo>&#xd7;</mml:mo>
<mml:mn>100</mml:mn>
</mml:mrow>
</mml:math>
</disp-formula>
</sec>
</sec>
<sec id="s2_4">
<label>2.4</label>
<title>Statistical analysis</title>
<p>Microsoft Excel 2016, SPSS 25.0 (SPSS Institute Inc., Chicago, USA), and Origin Pro 2020 (OriginLab, Northampton, MA, USA) were used for data analysis and visualization. Differences among treatments were tested using the least significant difference method at <italic>P</italic> &lt; 0.05.</p>
</sec>
</sec>
<sec id="s3" sec-type="results">
<label>3</label>
<title>Results and analysis</title>
<sec id="s3_1">
<label>3.1</label>
<title>Yield and its components</title>
<p>Year, K application, and N application rate significantly or highly significantly affected the number of effective panicles, grains per panicle, and grain yield (<xref ref-type="table" rid="T2">
<bold>Table&#xa0;2</bold>
</xref>). The year &#xd7; K interaction significantly influenced the number of effective panicles, while the year &#xd7; N interaction significantly affected grains per panicle. The K &#xd7; N interaction highly significantly impacted the number of effective panicles and grain yield.</p>
<table-wrap id="T2" position="float">
<label>Table&#xa0;2</label>
<caption>
<p>Effects of N-K ratio on yield and yield components of mechanically inserted rice.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" align="left">Year</th>
<th valign="middle" colspan="2" align="center">Treatment</th>
<th valign="middle" align="center">Effective panicle&#xa0;(m<sup>-2</sup>)</th>
<th valign="middle" align="center">Grains per panicle</th>
<th valign="middle" align="center">1000-grain weight (g)</th>
<th valign="middle" align="center">Total&#xa0;spikelets (&#xd7; 10<sup>4</sup> m<sup>-2</sup>)</th>
<th valign="middle" align="center">Seed setting rate (%)</th>
<th valign="middle" align="center">Yield (kg&#xa0;ha<sup>-1</sup>)</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="middle" rowspan="8" align="center">2018</td>
<td valign="middle" rowspan="3" align="center">K1</td>
<td valign="middle" align="center">N1</td>
<td valign="middle" align="center">160.23c</td>
<td valign="middle" align="center">213.56a</td>
<td valign="middle" align="center">32.18a</td>
<td valign="middle" align="center">3.42b</td>
<td valign="middle" align="center">83.71a</td>
<td valign="middle" align="center">8576.01c</td>
</tr>
<tr>
<td valign="middle" align="center">N2</td>
<td valign="middle" align="center">185.35a</td>
<td valign="middle" align="center">221.71a</td>
<td valign="middle" align="center">32.03a</td>
<td valign="middle" align="center">4.11a</td>
<td valign="middle" align="center">83.75a</td>
<td valign="middle" align="center">9785.06a</td>
</tr>
<tr>
<td valign="middle" align="center">N3</td>
<td valign="middle" align="center">179.69b</td>
<td valign="middle" align="center">224.20a</td>
<td valign="middle" align="center">32.31a</td>
<td valign="middle" align="center">4.03a</td>
<td valign="middle" align="center">79.53b</td>
<td valign="middle" align="center">9117.06b</td>
</tr>
<tr>
<td valign="middle" colspan="2" align="center">Average</td>
<td valign="middle" align="center">175.09B</td>
<td valign="middle" align="center">219.80B</td>
<td valign="middle" align="center">32.17A</td>
<td valign="middle" align="center">3.85A</td>
<td valign="middle" align="center">81.45A</td>
<td valign="middle" align="center">9159.39A</td>
</tr>
<tr>
<td valign="middle" rowspan="3" align="center">K2</td>
<td valign="middle" align="center">N1</td>
<td valign="middle" align="center">178.98c</td>
<td valign="middle" align="center">213.34c</td>
<td valign="middle" align="center">32.48a</td>
<td valign="middle" align="center">3.82c</td>
<td valign="middle" align="center">82.86a</td>
<td valign="middle" align="center">8914.89c</td>
</tr>
<tr>
<td valign="middle" align="center">N2</td>
<td valign="middle" align="center">185.70b</td>
<td valign="middle" align="center">226.47b</td>
<td valign="middle" align="center">32.11a</td>
<td valign="middle" align="center">4.20b</td>
<td valign="middle" align="center">81.59a</td>
<td valign="middle" align="center">9465.15b</td>
</tr>
<tr>
<td valign="middle" align="center">N3</td>
<td valign="middle" align="center">192.43a</td>
<td valign="middle" align="center">235.46a</td>
<td valign="middle" align="center">32.62a</td>
<td valign="middle" align="center">4.53a</td>
<td valign="middle" align="center">79.89b</td>
<td valign="middle" align="center">9928.44a</td>
</tr>
<tr>
<td valign="middle" colspan="2" align="center">Average</td>
<td valign="middle" align="center">185.70A</td>
<td valign="middle" align="center">225.09A</td>
<td valign="middle" align="center">32.40A</td>
<td valign="middle" align="center">4.19A</td>
<td valign="middle" align="center">82.33A</td>
<td valign="middle" align="center">9436.16A</td>
</tr>
<tr>
<td valign="middle" rowspan="8" align="center">2019</td>
<td valign="middle" rowspan="3" align="center">K1</td>
<td valign="middle" align="center">N1</td>
<td valign="middle" align="center">198.63c</td>
<td valign="middle" align="center">195.31b</td>
<td valign="middle" align="center">32.12a</td>
<td valign="middle" align="center">3.88c</td>
<td valign="middle" align="center">83.93a</td>
<td valign="middle" align="center">8959.47c</td>
</tr>
<tr>
<td valign="middle" align="center">N2</td>
<td valign="middle" align="center">218.35a</td>
<td valign="middle" align="center">221.25a</td>
<td valign="middle" align="center">32.54a</td>
<td valign="middle" align="center">4.83a</td>
<td valign="middle" align="center">82.54b</td>
<td valign="middle" align="center">10358.98a</td>
</tr>
<tr>
<td valign="middle" align="center">N3</td>
<td valign="middle" align="center">205.87b</td>
<td valign="middle" align="center">222.82a</td>
<td valign="middle" align="center">31.57a</td>
<td valign="middle" align="center">4.59b</td>
<td valign="middle" align="center">80.68c</td>
<td valign="middle" align="center">9897.00b</td>
</tr>
<tr>
<td valign="middle" colspan="2" align="center">Average</td>
<td valign="middle" align="center">207.62A</td>
<td valign="middle" align="center">213.13A</td>
<td valign="middle" align="center">32.11A</td>
<td valign="middle" align="center">4.43A</td>
<td valign="middle" align="center">82.39A</td>
<td valign="middle" align="center">9738.48A</td>
</tr>
<tr>
<td valign="middle" rowspan="3" align="center">K2</td>
<td valign="middle" align="center">N1</td>
<td valign="middle" align="center">202.88c</td>
<td valign="middle" align="center">201.80c</td>
<td valign="middle" align="center">32.21a</td>
<td valign="middle" align="center">4.10c</td>
<td valign="middle" align="center">84.23a</td>
<td valign="middle" align="center">9387.57c</td>
</tr>
<tr>
<td valign="middle" align="center">N2</td>
<td valign="middle" align="center">212.08b</td>
<td valign="middle" align="center">217.80b</td>
<td valign="middle" align="center">31.85a</td>
<td valign="middle" align="center">4.62b</td>
<td valign="middle" align="center">82.75b</td>
<td valign="middle" align="center">10129.44b</td>
</tr>
<tr>
<td valign="middle" align="center">N3</td>
<td valign="middle" align="center">218.33a</td>
<td valign="middle" align="center">226.10a</td>
<td valign="middle" align="center">31.88a</td>
<td valign="middle" align="center">4.94a</td>
<td valign="middle" align="center">81.41c</td>
<td valign="middle" align="center">10601.32a</td>
</tr>
<tr>
<td valign="middle" colspan="2" align="center">Average</td>
<td valign="middle" align="center">211.10A</td>
<td valign="middle" align="center">215.23A</td>
<td valign="middle" align="center">31.98A</td>
<td valign="middle" align="center">4.55A</td>
<td valign="middle" align="center">82.80A</td>
<td valign="middle" align="center">10039.44A</td>
</tr>
<tr>
<th valign="middle" colspan="9" align="left">One way ANOVA analysis</th>
</tr>
<tr>
<td valign="middle" colspan="3" align="center">Year (Y)</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">**</td>
</tr>
<tr>
<td valign="middle" colspan="3" align="center">K application (K)</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">*</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">*</td>
</tr>
<tr>
<td valign="middle" colspan="3" align="center">N application (N)</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">**</td>
</tr>
<tr>
<td valign="middle" colspan="3" align="center">Y&#xd7;K</td>
<td valign="middle" align="center">*</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">ns</td>
</tr>
<tr>
<td valign="middle" colspan="3" align="center">Y&#xd7;N</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">*</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">ns</td>
</tr>
<tr>
<td valign="middle" colspan="3" align="center">K&#xd7;N</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">**</td>
</tr>
<tr>
<td valign="middle" colspan="3" align="center">Y&#xd7;K&#xd7;N</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">ns</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>Across K treatments, grain yield was higher in K2 than in K1, with an average increase of 3.06% over two years. Under K2, yield increased progressively with panicle N application (N3 &gt; N2 &gt; N1), showing significant differences: N3 increased yield by 12.17% compared with N1 and by 4.77% compared with N2.</p>
<p>Regarding yield components, the number of effective panicles, grains per panicle, total spikelets, and grain-filling percentage were&#xa0;generally higher in K2 than in K1, though most differences were not statistically significant. Under K2, the number of effective panicles, grains per panicle, and total spikelets peaked in N3, significantly exceeding N1 by 7.57%, 11.18%, and 19.57%, and N2 by 3.26%, 3.89%, and 7.37%, respectively. Grain-filling percentage showed a declining trend, with relatively significant differences among treatments.</p>
<p>Different small letters after the data in the same column indicate significant differences between treatments under the same potash treatment and the same year, and the capital letters after the average data indicate significant differences between K1 and K2 (P&lt;0.05) * and ** indicate significant effects at the 0.05 and 0.01 probability levels, respectively, and ns indicates no significant effect.</p>
</sec>
<sec id="s3_2">
<label>3.2</label>
<title>Dry matter translocation and accumulation</title>
<p>Year and K application highly significantly affected post-heading dry matter translocation (<xref ref-type="table" rid="T3">
<bold>Table&#xa0;3</bold>
</xref>). N application rate and the K &#xd7; N interaction significantly or highly significantly influenced total dry matter accumulation and post-heading translocation. The three-way interaction (year &#xd7; K &#xd7; N) significantly affected the contribution rate of post-heading translocation.</p>
<table-wrap id="T3" position="float">
<label>Table&#xa0;3</label>
<caption>
<p>Effects of N-K management strategies on dry matter accumulation and translocation in machine-transplanted rice.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" rowspan="2" align="center">Year</th>
<th valign="middle" rowspan="2" colspan="2" align="center">Treatment</th>
<th valign="middle" colspan="4" align="center">Total dry matter accumulation (t ha<sup>-1</sup>)</th>
<th valign="middle" colspan="3" align="center">Dry matter transport after FHS</th>
</tr>
<tr>
<th valign="middle" align="center">FTS</th>
<th valign="middle" align="center">JS</th>
<th valign="middle" align="center">FHS</th>
<th valign="middle" align="center">MS</th>
<th valign="middle" align="center">Accumulation (t ha<sup>-1</sup>)</th>
<th valign="middle" align="center">Ratio(%)</th>
<th valign="middle" align="center">Contribution rate (%)</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="middle" rowspan="8" align="center">2018</td>
<td valign="middle" rowspan="3" align="center">K1</td>
<td valign="middle" align="center">N1</td>
<td valign="middle" align="center">1.22a</td>
<td valign="middle" align="center">2.61b</td>
<td valign="middle" align="center">10.63b</td>
<td valign="middle" align="center">15.40c</td>
<td valign="middle" align="center">4.77b</td>
<td valign="middle" align="center">30.94b</td>
<td valign="middle" align="center">53.90b</td>
</tr>
<tr>
<td valign="middle" align="center">N2</td>
<td valign="middle" align="center">1.31a</td>
<td valign="middle" align="center">2.89a</td>
<td valign="middle" align="center">11.96a</td>
<td valign="middle" align="center">18.04a</td>
<td valign="middle" align="center">6.08a</td>
<td valign="middle" align="center">33.72a</td>
<td valign="middle" align="center">57.83a</td>
</tr>
<tr>
<td valign="middle" align="center">N3</td>
<td valign="middle" align="center">1.13b</td>
<td valign="middle" align="center">2.55b</td>
<td valign="middle" align="center">10.77b</td>
<td valign="middle" align="center">15.70b</td>
<td valign="middle" align="center">4.93b</td>
<td valign="middle" align="center">31.39b</td>
<td valign="middle" align="center">50.38c</td>
</tr>
<tr>
<td valign="middle" colspan="2" align="center">Average</td>
<td valign="middle" align="center">1.22A</td>
<td valign="middle" align="center">2.68A</td>
<td valign="middle" align="center">11.12A</td>
<td valign="middle" align="center">16.38A</td>
<td valign="middle" align="center">5.26B</td>
<td valign="middle" align="center">32.02B</td>
<td valign="middle" align="center">54.04B</td>
</tr>
<tr>
<td valign="middle" rowspan="3" align="center">K2</td>
<td valign="middle" align="center">N1</td>
<td valign="middle" align="center">1.10c</td>
<td valign="middle" align="center">2.44b</td>
<td valign="middle" align="center">10.62c</td>
<td valign="middle" align="center">15.97c</td>
<td valign="middle" align="center">5.35c</td>
<td valign="middle" align="center">33.50a</td>
<td valign="middle" align="center">55.64b</td>
</tr>
<tr>
<td valign="middle" align="center">N2</td>
<td valign="middle" align="center">1.27b</td>
<td valign="middle" align="center">2.54ab</td>
<td valign="middle" align="center">11.39b</td>
<td valign="middle" align="center">17.22b</td>
<td valign="middle" align="center">5.83b</td>
<td valign="middle" align="center">33.87a</td>
<td valign="middle" align="center">58.48ab</td>
</tr>
<tr>
<td valign="middle" align="center">N3</td>
<td valign="middle" align="center">1.46a</td>
<td valign="middle" align="center">2.64a</td>
<td valign="middle" align="center">12.18a</td>
<td valign="middle" align="center">18.57a</td>
<td valign="middle" align="center">6.39a</td>
<td valign="middle" align="center">34.44a</td>
<td valign="middle" align="center">60.62a</td>
</tr>
<tr>
<td valign="middle" colspan="2" align="center">Average</td>
<td valign="middle" align="center">1.28A</td>
<td valign="middle" align="center">2.54A</td>
<td valign="middle" align="center">11.40A</td>
<td valign="middle" align="center">17.25A</td>
<td valign="middle" align="center">5.86A</td>
<td valign="middle" align="center">33.94A</td>
<td valign="middle" align="center">58.25A</td>
</tr>
<tr>
<td valign="middle" rowspan="8" align="center">2019</td>
<td valign="middle" rowspan="3" align="center">K1</td>
<td valign="middle" align="center">N1</td>
<td valign="middle" align="center">1.23b</td>
<td valign="middle" align="center">4.15b</td>
<td valign="middle" align="center">13.04c</td>
<td valign="middle" align="center">18.50c</td>
<td valign="middle" align="center">5.55c</td>
<td valign="middle" align="center">30.04c</td>
<td valign="middle" align="center">50.61b</td>
</tr>
<tr>
<td valign="middle" align="center">N2</td>
<td valign="middle" align="center">1.32a</td>
<td valign="middle" align="center">4.38a</td>
<td valign="middle" align="center">15.44a</td>
<td valign="middle" align="center">22.77a</td>
<td valign="middle" align="center">7.33a</td>
<td valign="middle" align="center">32.18a</td>
<td valign="middle" align="center">52.15a</td>
</tr>
<tr>
<td valign="middle" align="center">N3</td>
<td valign="middle" align="center">1.06c</td>
<td valign="middle" align="center">4.00c</td>
<td valign="middle" align="center">13.27b</td>
<td valign="middle" align="center">18.77b</td>
<td valign="middle" align="center">5.84b</td>
<td valign="middle" align="center">31.13b</td>
<td valign="middle" align="center">49.62c</td>
</tr>
<tr>
<td valign="middle" colspan="2" align="center">Average</td>
<td valign="middle" align="center">1.20A</td>
<td valign="middle" align="center">4.18A</td>
<td valign="middle" align="center">13.92A</td>
<td valign="middle" align="center">20.01A</td>
<td valign="middle" align="center">6.24A</td>
<td valign="middle" align="center">31.12B</td>
<td valign="middle" align="center">50.79B</td>
</tr>
<tr>
<td valign="middle" rowspan="3" align="center">K2</td>
<td valign="middle" align="center">N1</td>
<td valign="middle" align="center">1.07c</td>
<td valign="middle" align="center">3.88c</td>
<td valign="middle" align="center">12.51c</td>
<td valign="middle" align="center">18.20c</td>
<td valign="middle" align="center">5.69c</td>
<td valign="middle" align="center">31.27c</td>
<td valign="middle" align="center">52.80b</td>
</tr>
<tr>
<td valign="middle" align="center">N2</td>
<td valign="middle" align="center">1.19b</td>
<td valign="middle" align="center">4.01b</td>
<td valign="middle" align="center">13.42b</td>
<td valign="middle" align="center">19.89b</td>
<td valign="middle" align="center">6.47b</td>
<td valign="middle" align="center">32.55b</td>
<td valign="middle" align="center">55.09a</td>
</tr>
<tr>
<td valign="middle" align="center">N3</td>
<td valign="middle" align="center">1.48a</td>
<td valign="middle" align="center">4.22a</td>
<td valign="middle" align="center">14.63a</td>
<td valign="middle" align="center">22.10a</td>
<td valign="middle" align="center">7.47a</td>
<td valign="middle" align="center">33.81a</td>
<td valign="middle" align="center">55.87a</td>
</tr>
<tr>
<td valign="middle" colspan="2" align="center">Average</td>
<td valign="middle" align="center">1.24A</td>
<td valign="middle" align="center">4.04B</td>
<td valign="middle" align="center">13.52A</td>
<td valign="middle" align="center">20.06A</td>
<td valign="middle" align="center">6.55A</td>
<td valign="middle" align="center">32.54A</td>
<td valign="middle" align="center">54.59A</td>
</tr>
<tr>
<th valign="middle" colspan="10" align="left">One way ANOVA analysis</th>
</tr>
<tr>
<td valign="middle" colspan="3" align="center">Year (Y)</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">**</td>
</tr>
<tr>
<td valign="middle" colspan="3" align="center">K application (K)</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">**</td>
</tr>
<tr>
<td valign="middle" colspan="3" align="center">N application (N)</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">*</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">**</td>
</tr>
<tr>
<td valign="middle" colspan="3" align="center">Y&#xd7;K</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">*</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">ns</td>
</tr>
<tr>
<td valign="middle" colspan="3" align="center">Y&#xd7;N</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">ns</td>
</tr>
<tr>
<td valign="middle" colspan="3" align="center">K&#xd7;N</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">*</td>
<td valign="middle" align="center">**</td>
</tr>
<tr>
<td valign="middle" colspan="3" align="center">Y&#xd7;K&#xd7;N</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">*</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>FTS, Fully tillering stage; JS, Jointing stage; FHS, Full heading stage; MS, Maturity stages; Different small letters after the data in the same column indicate significant differences between treatments under the same potash treatment and the same year, and the capital letters after the average data indicate significant differences between K1 and K2((P&lt;0.05)) * and ** indicate significant effects at the 0.05 and 0.01 probability levels, respectively, and ns indicates no significant effect.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>Across K treatments, total dry matter accumulation at various growth stages mostly showed nonsignificant differences. Post-heading translocation was higher in K2 than in K1, with mostly significant differences among treatments. On average, K2 increased translocation proportion and contribution rate by 5.29% and 7.64%, respectively, compared with K1 over two years. Under K2, total dry matter accumulation at all growth stages peaked in N3, with significant differences observed. At maturity, N3 increased accumulation by 19.02% compared with N1 and by 9.59% compared with N2. Post-heading translocation also peaked in N3, exceeding N1 in translocation amount, proportion, and contribution rate by 25.54%, 5.37%, and 7.42%, and N2 by 12.68%, 2.76%, and 2.57%, respectively.</p>
</sec>
<sec id="s3_3">
<label>3.3</label>
<title>Assimilate translocation from vegetative organs</title>
<p>Year, N application rate, and the interactions of year with K or N application significantly or highly significantly affected stem&#x2013;sheath dry matter output rate, stem&#x2013;sheath dry matter conversion rate, leaf dry matter output rate, and leaf dry matter conversion rate (<xref ref-type="table" rid="T4">
<bold>Table&#xa0;4</bold>
</xref>). K application highly significantly influenced stem&#x2013;sheath dry matter output rate and stem&#x2013;sheath dry matter conversion rate. The three-way interaction (year &#xd7; K &#xd7; N) highly significantly affected stem&#x2013;sheath dry matter output rate and stem&#x2013;sheath dry matter conversion rate, and significantly affected leaf dry matter output rate.</p>
<table-wrap id="T4" position="float">
<label>Table&#xa0;4</label>
<caption>
<p>Effects of N-K management strategies on assimilating translocation from vegetative organs in machine-transplanted rice.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" align="center">Year</th>
<th valign="middle" colspan="2" align="center">Treatment</th>
<th valign="middle" align="center">SMDOR (%)</th>
<th valign="middle" align="center">SMDCR (%)</th>
<th valign="middle" align="center">LDMOR (%)</th>
<th valign="middle" align="center">Leaf LDMCR (%)</th>
<th valign="middle" align="center">HI (%)</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="middle" rowspan="8" align="center">2018</td>
<td valign="middle" rowspan="3" align="center">K1</td>
<td valign="middle" align="center">N1</td>
<td valign="middle" align="center">25.07a</td>
<td valign="middle" align="center">16.64a</td>
<td valign="middle" align="center">36.73b</td>
<td valign="middle" align="center">10.22c</td>
<td valign="middle" align="center">59.76b</td>
</tr>
<tr>
<td valign="middle" align="center">N2</td>
<td valign="middle" align="center">18.94b</td>
<td valign="middle" align="center">11.53b</td>
<td valign="middle" align="center">46.21a</td>
<td valign="middle" align="center">12.51b</td>
<td valign="middle" align="center">60.99a</td>
</tr>
<tr>
<td valign="middle" align="center">N3</td>
<td valign="middle" align="center">17.59b</td>
<td valign="middle" align="center">11.35b</td>
<td valign="middle" align="center">49.60a</td>
<td valign="middle" align="center">17.60a</td>
<td valign="middle" align="center">58.42c</td>
</tr>
<tr>
<td valign="middle" colspan="2" align="center">Average</td>
<td valign="middle" align="center">20.54A</td>
<td valign="middle" align="center">13.17A</td>
<td valign="middle" align="center">44.18A</td>
<td valign="middle" align="center">13.44A</td>
<td valign="middle" align="center">59.72A</td>
</tr>
<tr>
<td valign="middle" rowspan="3" align="center">K2</td>
<td valign="middle" align="center">N1</td>
<td valign="middle" align="center">20.70a</td>
<td valign="middle" align="center">13.45a</td>
<td valign="middle" align="center">24.64c</td>
<td valign="middle" align="center">7.11c</td>
<td valign="middle" align="center">57.76c</td>
</tr>
<tr>
<td valign="middle" align="center">N2</td>
<td valign="middle" align="center">18.61a</td>
<td valign="middle" align="center">11.79a</td>
<td valign="middle" align="center">36.04b</td>
<td valign="middle" align="center">10.68b</td>
<td valign="middle" align="center">58.71b</td>
</tr>
<tr>
<td valign="middle" align="center">N3</td>
<td valign="middle" align="center">14.29b</td>
<td valign="middle" align="center">8.58b</td>
<td valign="middle" align="center">47.30a</td>
<td valign="middle" align="center">15.11a</td>
<td valign="middle" align="center">59.47a</td>
</tr>
<tr>
<td valign="middle" colspan="2" align="center">Average</td>
<td valign="middle" align="center">17.87B</td>
<td valign="middle" align="center">11.27B</td>
<td valign="middle" align="center">35.99B</td>
<td valign="middle" align="center">10.97B</td>
<td valign="middle" align="center">58.65A</td>
</tr>
<tr>
<td valign="middle" rowspan="8" align="center">2019</td>
<td valign="middle" rowspan="3" align="center">K1</td>
<td valign="middle" align="center">N1</td>
<td valign="middle" align="center">29.94a</td>
<td valign="middle" align="center">20.92a</td>
<td valign="middle" align="center">24.75b</td>
<td valign="middle" align="center">7.42b</td>
<td valign="middle" align="center">58.29b</td>
</tr>
<tr>
<td valign="middle" align="center">N2</td>
<td valign="middle" align="center">31.30a</td>
<td valign="middle" align="center">19.30b</td>
<td valign="middle" align="center">31.83a</td>
<td valign="middle" align="center">9.20a</td>
<td valign="middle" align="center">61.71a</td>
</tr>
<tr>
<td valign="middle" align="center">N3</td>
<td valign="middle" align="center">22.49b</td>
<td valign="middle" align="center">14.53c</td>
<td valign="middle" align="center">29.33a</td>
<td valign="middle" align="center">9.12a</td>
<td valign="middle" align="center">59.08b</td>
</tr>
<tr>
<td valign="middle" colspan="2" align="center">Average</td>
<td valign="middle" align="center">27.91A</td>
<td valign="middle" align="center">18.25A</td>
<td valign="middle" align="center">28.64B</td>
<td valign="middle" align="center">8.58B</td>
<td valign="middle" align="center">59.69A</td>
</tr>
<tr>
<td valign="middle" rowspan="3" align="center">K2</td>
<td valign="middle" align="center">N1</td>
<td valign="middle" align="center">27.19a</td>
<td valign="middle" align="center">18.63a</td>
<td valign="middle" align="center">34.58ab</td>
<td valign="middle" align="center">10.06a</td>
<td valign="middle" align="center">57.03c</td>
</tr>
<tr>
<td valign="middle" align="center">N2</td>
<td valign="middle" align="center">22.28b</td>
<td valign="middle" align="center">12.91b</td>
<td valign="middle" align="center">34.44b</td>
<td valign="middle" align="center">10.89a</td>
<td valign="middle" align="center">59.08b</td>
</tr>
<tr>
<td valign="middle" align="center">N3</td>
<td valign="middle" align="center">18.35c</td>
<td valign="middle" align="center">10.66c</td>
<td valign="middle" align="center">38.77a</td>
<td valign="middle" align="center">11.27a</td>
<td valign="middle" align="center">60.51a</td>
</tr>
<tr>
<td valign="middle" colspan="2" align="center">Average</td>
<td valign="middle" align="center">22.61B</td>
<td valign="middle" align="center">14.40B</td>
<td valign="middle" align="center">35.93A</td>
<td valign="middle" align="center">10.74A</td>
<td valign="middle" align="center">58.87A</td>
</tr>
<tr>
<th valign="middle" colspan="8" align="left">One way ANOVA analysis</th>
</tr>
<tr>
<td valign="middle" colspan="3" align="center">Year (Y)</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">ns</td>
</tr>
<tr>
<td valign="middle" colspan="3" align="center">K application (K)</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">ns</td>
</tr>
<tr>
<td valign="middle" colspan="3" align="center">N application (N)</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">ns</td>
</tr>
<tr>
<td valign="middle" colspan="3" align="center">Y&#xd7;K</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">ns</td>
</tr>
<tr>
<td valign="middle" colspan="3" align="center">Y&#xd7;N</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">*</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">ns</td>
</tr>
<tr>
<td valign="middle" colspan="3" align="center">K&#xd7;N</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">ns</td>
</tr>
<tr>
<td valign="middle" colspan="3" align="center">Y&#xd7;K&#xd7;N</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">*</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">ns</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>SMDOR, Stem and sheath dry matter output rate; SMDCR, Stem and sheath dry matter conversion rate; LDMOR, Leaf dry matter output rate; LDMCR, Leaf dry matter conversion rate; HI, Harvest index; Different small letters after the data in the same column indicate significant differences between treatments under the same potash treatment and the same year, and the capital letters after the average data indicate significant differences between K1 and K2(P&lt;0.05) * and ** indicate significant effects at the 0.05 and 0.01 probability levels, respectively, and ns indicates no significant effect.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>Across K treatments, stem&#x2013;sheath dry matter output rate, stem&#x2013;sheath dry matter conversion rate, and harvest index were higher in K1 than in K2. On average, K1 increased these indices by 19.69%, 22.40%, and 1.61%, respectively, compared with K2 across two years. Under K2, stem&#x2013;sheath dry matter output rate and conversion rate were highest in N1 (N1 &gt; N2 &gt; N3). Conversely, leaf dry matter output rate, leaf dry matter conversion rate, and harvest index peaked in N3, with mostly significant differences. N3 increased leaf dry matter output rate, leaf dry matter conversion rate, and harvest index by 45.34%, 53.64%, and 4.52% compared with N1, and by 22.12%, 22.30%, and 1.86% compared with N2.</p>
</sec>
<sec id="s3_4">
<label>3.4</label>
<title>Nitrogen accumulation in organs</title>
<p>Year highly significantly affected N accumulation at the jointing and heading stages (<xref ref-type="table" rid="T5">
<bold>Table&#xa0;5</bold>
</xref>). K application significantly influenced N accumulation at peak tillering, heading, and maturity. N application rate highly significantly affected all indices except N accumulation at peak tillering. The K &#xd7; N interaction significantly or highly significantly impacted N accumulation at all stages and the N harvest index. The year &#xd7; N interaction and the three-way interaction (year &#xd7; K &#xd7; N) highly significantly affected N accumulation at jointing.</p>
<table-wrap id="T5" position="float">
<label>Table&#xa0;5</label>
<caption>
<p>Effects of different N-K management strategies on nitrogen accumulation in organs of machine-transplanted rice.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" rowspan="2" align="center">Year</th>
<th valign="middle" rowspan="2" colspan="2" align="center">Treatment</th>
<th valign="middle" colspan="4" align="center">Stem-sheath</th>
<th valign="middle" colspan="4" align="center">Leaf</th>
<th valign="middle" colspan="2" align="center">Panicle</th>
</tr>
<tr>
<th valign="middle" align="center">FTS</th>
<th valign="middle" align="center">JS</th>
<th valign="middle" align="center">FHS</th>
<th valign="middle" align="center">MS</th>
<th valign="middle" align="center">FTS</th>
<th valign="middle" align="center">JS</th>
<th valign="middle" align="center">FHS</th>
<th valign="middle" align="center">MS</th>
<th valign="middle" align="center">FHS</th>
<th valign="middle" align="center">MS</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="middle" rowspan="8" align="center">2018</td>
<td valign="middle" rowspan="3" align="center">K1</td>
<td valign="middle" align="center">N1</td>
<td valign="middle" align="center">10.25a</td>
<td valign="middle" align="center">15.36b</td>
<td valign="middle" align="center">28.03c</td>
<td valign="middle" align="center">19.39c</td>
<td valign="middle" align="center">18.49a</td>
<td valign="middle" align="center">31.68b</td>
<td valign="middle" align="center">51.13b</td>
<td valign="middle" align="center">19.06b</td>
<td valign="middle" align="center">24.09c</td>
<td valign="middle" align="center">96.66c</td>
</tr>
<tr>
<td valign="middle" align="center">N2</td>
<td valign="middle" align="center">9.71b</td>
<td valign="middle" align="center">17.61a</td>
<td valign="middle" align="center">33.50a</td>
<td valign="middle" align="center">24.44a</td>
<td valign="middle" align="center">17.93a</td>
<td valign="middle" align="center">44.24a</td>
<td valign="middle" align="center">53.94a</td>
<td valign="middle" align="center">20.53a</td>
<td valign="middle" align="center">30.30a</td>
<td valign="middle" align="center">119.31a</td>
</tr>
<tr>
<td valign="middle" align="center">N3</td>
<td valign="middle" align="center">9.49b</td>
<td valign="middle" align="center">16.42ab</td>
<td valign="middle" align="center">30.31b</td>
<td valign="middle" align="center">22.60b</td>
<td valign="middle" align="center">16.15b</td>
<td valign="middle" align="center">31.13b</td>
<td valign="middle" align="center">52.29b</td>
<td valign="middle" align="center">19.10b</td>
<td valign="middle" align="center">25.12b</td>
<td valign="middle" align="center">103.67b</td>
</tr>
<tr>
<td valign="middle" colspan="2" align="center">Average</td>
<td valign="middle" align="center">9.82A</td>
<td valign="middle" align="center">16.46B</td>
<td valign="middle" align="center">30.61A</td>
<td valign="middle" align="center">22.14A</td>
<td valign="middle" align="center">17.52B</td>
<td valign="middle" align="center">35.68A</td>
<td valign="middle" align="center">52.45B</td>
<td valign="middle" align="center">19.57B</td>
<td valign="middle" align="center">26.50A</td>
<td valign="middle" align="center">107.55B</td>
</tr>
<tr>
<td valign="middle" rowspan="3" align="center">K2</td>
<td valign="middle" align="center">N1</td>
<td valign="middle" align="center">9.20b</td>
<td valign="middle" align="center">16.81b</td>
<td valign="middle" align="center">26.51c</td>
<td valign="middle" align="center">20.20c</td>
<td valign="middle" align="center">16.80c</td>
<td valign="middle" align="center">33.18c</td>
<td valign="middle" align="center">50.02c</td>
<td valign="middle" align="center">19.47c</td>
<td valign="middle" align="center">25.43c</td>
<td valign="middle" align="center">99.75c</td>
</tr>
<tr>
<td valign="middle" align="center">N2</td>
<td valign="middle" align="center">9.31b</td>
<td valign="middle" align="center">17.45b</td>
<td valign="middle" align="center">32.39b</td>
<td valign="middle" align="center">22.20b</td>
<td valign="middle" align="center">18.28b</td>
<td valign="middle" align="center">34.39b</td>
<td valign="middle" align="center">53.39b</td>
<td valign="middle" align="center">21.24b</td>
<td valign="middle" align="center">27.44b</td>
<td valign="middle" align="center">111.81b</td>
</tr>
<tr>
<td valign="middle" align="center">N3</td>
<td valign="middle" align="center">10.79a</td>
<td valign="middle" align="center">19.17a</td>
<td valign="middle" align="center">36.62a</td>
<td valign="middle" align="center">26.18a</td>
<td valign="middle" align="center">21.60a</td>
<td valign="middle" align="center">36.11a</td>
<td valign="middle" align="center">64.59a</td>
<td valign="middle" align="center">23.90a</td>
<td valign="middle" align="center">32.97a</td>
<td valign="middle" align="center">134.30a</td>
</tr>
<tr>
<td valign="middle" colspan="2" align="center">Average</td>
<td valign="middle" align="center">9.77A</td>
<td valign="middle" align="center">17.81A</td>
<td valign="middle" align="center">31.84A</td>
<td valign="middle" align="center">22.86A</td>
<td valign="middle" align="center">18.89A</td>
<td valign="middle" align="center">34.56A</td>
<td valign="middle" align="center">56.00A</td>
<td valign="middle" align="center">21.54A</td>
<td valign="middle" align="center">28.61A</td>
<td valign="middle" align="center">115.29A</td>
</tr>
<tr>
<td valign="middle" rowspan="8" align="center">2019</td>
<td valign="middle" rowspan="3" align="center">K1</td>
<td valign="middle" align="center">N1</td>
<td valign="middle" align="center">9.72a</td>
<td valign="middle" align="center">19.23c</td>
<td valign="middle" align="center">31.90c</td>
<td valign="middle" align="center">21.63c</td>
<td valign="middle" align="center">19.10a</td>
<td valign="middle" align="center">42.81c</td>
<td valign="middle" align="center">53.28c</td>
<td valign="middle" align="center">21.23c</td>
<td valign="middle" align="center">30.79c</td>
<td valign="middle" align="center">96.00c</td>
</tr>
<tr>
<td valign="middle" align="center">N2</td>
<td valign="middle" align="center">9.33b</td>
<td valign="middle" align="center">23.40a</td>
<td valign="middle" align="center">40.93a</td>
<td valign="middle" align="center">25.20a</td>
<td valign="middle" align="center">18.96a</td>
<td valign="middle" align="center">46.48a</td>
<td valign="middle" align="center">58.88b</td>
<td valign="middle" align="center">23.53a</td>
<td valign="middle" align="center">37.94a</td>
<td valign="middle" align="center">123.13a</td>
</tr>
<tr>
<td valign="middle" align="center">N3</td>
<td valign="middle" align="center">9.23b</td>
<td valign="middle" align="center">21.25b</td>
<td valign="middle" align="center">35.22b</td>
<td valign="middle" align="center">23.58b</td>
<td valign="middle" align="center">15.30b</td>
<td valign="middle" align="center">43.90b</td>
<td valign="middle" align="center">67.32a</td>
<td valign="middle" align="center">22.84b</td>
<td valign="middle" align="center">35.70b</td>
<td valign="middle" align="center">118.37b</td>
</tr>
<tr>
<td valign="middle" colspan="2" align="center">Average</td>
<td valign="middle" align="center">9.43A</td>
<td valign="middle" align="center">21.29A</td>
<td valign="middle" align="center">36.02B</td>
<td valign="middle" align="center">23.47B</td>
<td valign="middle" align="center">17.79B</td>
<td valign="middle" align="center">44.40A</td>
<td valign="middle" align="center">59.83B</td>
<td valign="middle" align="center">22.54A</td>
<td valign="middle" align="center">34.81A</td>
<td valign="middle" align="center">112.50A</td>
</tr>
<tr>
<td valign="middle" rowspan="3" align="center">K2</td>
<td valign="middle" align="center">N1</td>
<td valign="middle" align="center">8.59c</td>
<td valign="middle" align="center">23.24a</td>
<td valign="middle" align="center">33.20c</td>
<td valign="middle" align="center">22.18c</td>
<td valign="middle" align="center">17.30c</td>
<td valign="middle" align="center">41.72c</td>
<td valign="middle" align="center">53.53c</td>
<td valign="middle" align="center">18.69c</td>
<td valign="middle" align="center">25.74c</td>
<td valign="middle" align="center">98.16c</td>
</tr>
<tr>
<td valign="middle" align="center">N2</td>
<td valign="middle" align="center">9.15b</td>
<td valign="middle" align="center">22.35b</td>
<td valign="middle" align="center">38.71b</td>
<td valign="middle" align="center">26.14b</td>
<td valign="middle" align="center">19.16b</td>
<td valign="middle" align="center">42.83b</td>
<td valign="middle" align="center">65.92b</td>
<td valign="middle" align="center">21.09b</td>
<td valign="middle" align="center">34.28b</td>
<td valign="middle" align="center">116.21b</td>
</tr>
<tr>
<td valign="middle" align="center">N3</td>
<td valign="middle" align="center">11.12a</td>
<td valign="middle" align="center">21.41c</td>
<td valign="middle" align="center">43.67a</td>
<td valign="middle" align="center">29.16a</td>
<td valign="middle" align="center">23.88a</td>
<td valign="middle" align="center">46.90a</td>
<td valign="middle" align="center">71.63a</td>
<td valign="middle" align="center">22.05a</td>
<td valign="middle" align="center">44.22a</td>
<td valign="middle" align="center">129.91a</td>
</tr>
<tr>
<td valign="middle" colspan="2" align="center">Average</td>
<td valign="middle" align="center">9.63A</td>
<td valign="middle" align="center">22.33A</td>
<td valign="middle" align="center">38.19A</td>
<td valign="middle" align="center">25.82A</td>
<td valign="middle" align="center">20.11A</td>
<td valign="middle" align="center">43.82A</td>
<td valign="middle" align="center">63.69A</td>
<td valign="middle" align="center">20.61B</td>
<td valign="middle" align="center">34.75A</td>
<td valign="middle" align="center">114.76A</td>
</tr>
<tr>
<th valign="middle" colspan="13" align="left">One way ANOVA analysis</th>
</tr>
<tr>
<td valign="middle" colspan="3" align="center">Year (Y)</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">*</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">ns</td>
</tr>
<tr>
<td valign="middle" colspan="3" align="center">K application (K)</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">**</td>
</tr>
<tr>
<td valign="middle" colspan="3" align="center">N application (N)</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">*</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">**</td>
</tr>
<tr>
<td valign="middle" colspan="3" align="center">Y&#xd7;K</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">*</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">*</td>
</tr>
<tr>
<td valign="middle" colspan="3" align="center">Y&#xd7;N</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">*</td>
<td valign="middle" align="center">ns</td>
</tr>
<tr>
<td valign="middle" colspan="3" align="center">K&#xd7;N</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">**</td>
</tr>
<tr>
<td valign="middle" colspan="3" align="center">Y&#xd7;K&#xd7;N</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">*</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">*</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>FTS, Fully tillering stage; JS, Jointing stage; FHS, Full heading stage; MS, Maturity stages; Different small letters after the data in the same column indicate significant differences between treatments under the same potash treatment and the same year, and the capital letters after the average data indicate significant differences between K1 and K2((P&lt;0.05)) * and ** indicate significant effects at the 0.05 and 0.01 probability levels, respectively, and ns indicates no significant effect.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>Across K treatments, plant N accumulation during growth stages was higher in K2 than in K1, although differences were nonsignificant. At maturity, K2 averaged a 4.11% increase compared with K1. N productivity (dry matter basis) was higher in K1, while the N harvest index was higher in K2, though both differences were nonsignificant. Under K2, N accumulation increased with N application (N3 &gt; N2 &gt; N1), showing significant differences: at heading and maturity, N3 increased accumulation by 36.59% and 31.27% compared with N1, and by 16.16% and 14.69% compared with N2. Grain N productivity decreased with increasing N application (N1 &gt; N2 &gt; N3), with significant differences. The N harvest index peaked in N3, significantly exceeding N1 by 1.70% and N2 by 1.01%.</p>
</sec>
<sec id="s3_5">
<label>3.5</label>
<title>Nitrogen translocation in vegetative organs</title>
<p>Year highly significantly affected all N export parameters in machine-transplanted rice (<xref ref-type="table" rid="T6">
<bold>Table&#xa0;6</bold>
</xref>). K application, N application rate, and their interaction highly significantly influenced N export amount and increased grain N. The year &#xd7; K and year &#xd7; N interactions significantly or highly significantly affected N export amount and the export contribution rate. The three-way interaction (year &#xd7; K &#xd7; N) significantly or highly significantly impacted export contribution rate and increased grain N.</p>
<table-wrap id="T6" position="float">
<label>Table&#xa0;6</label>
<caption>
<p>Effects of N-K management strategies on nitrogen translocation in vegetative organs of machine-transplanted rice.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" align="center">Year</th>
<th valign="middle" colspan="2" align="center">Treatment</th>
<th valign="middle" align="center">Export amount (kg ha<sup>-1</sup>)</th>
<th valign="middle" align="center">Export rate (%)</th>
<th valign="middle" align="center">Contribution rate (%)</th>
<th valign="middle" align="center">Increased grain N (kg ha<sup>-1</sup>)</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="middle" rowspan="8" align="center">2018</td>
<td valign="middle" rowspan="3" align="center">K1</td>
<td valign="middle" align="center">N1</td>
<td valign="middle" align="center">40.71b</td>
<td valign="middle" align="center">51.41a</td>
<td valign="middle" align="center">42.12a</td>
<td valign="middle" align="center">72.56c</td>
</tr>
<tr>
<td valign="middle" align="center">N2</td>
<td valign="middle" align="center">42.47a</td>
<td valign="middle" align="center">48.57c</td>
<td valign="middle" align="center">35.60c</td>
<td valign="middle" align="center">89.01a</td>
</tr>
<tr>
<td valign="middle" align="center">N3</td>
<td valign="middle" align="center">40.89b</td>
<td valign="middle" align="center">49.51b</td>
<td valign="middle" align="center">38.34b</td>
<td valign="middle" align="center">81.55b</td>
</tr>
<tr>
<td valign="middle" colspan="2" align="center">Average</td>
<td valign="middle" align="center">41.36A</td>
<td valign="middle" align="center">49.83A</td>
<td valign="middle" align="center">38.69A</td>
<td valign="middle" align="center">81.04B</td>
</tr>
<tr>
<td valign="middle" rowspan="3" align="center">K2</td>
<td valign="middle" align="center">N1</td>
<td valign="middle" align="center">36.86c</td>
<td valign="middle" align="center">48.17c</td>
<td valign="middle" align="center">36.96a</td>
<td valign="middle" align="center">74.32c</td>
</tr>
<tr>
<td valign="middle" align="center">N2</td>
<td valign="middle" align="center">42.34b</td>
<td valign="middle" align="center">49.35b</td>
<td valign="middle" align="center">37.87a</td>
<td valign="middle" align="center">84.37b</td>
</tr>
<tr>
<td valign="middle" align="center">N3</td>
<td valign="middle" align="center">51.13a</td>
<td valign="middle" align="center">50.51a</td>
<td valign="middle" align="center">38.07a</td>
<td valign="middle" align="center">101.33a</td>
</tr>
<tr>
<td valign="middle" colspan="2" align="center">Average</td>
<td valign="middle" align="center">43.44A</td>
<td valign="middle" align="center">49.34A</td>
<td valign="middle" align="center">37.63A</td>
<td valign="middle" align="center">86.67A</td>
</tr>
<tr>
<td valign="middle" rowspan="8" align="center">2019</td>
<td valign="middle" rowspan="3" align="center">K1</td>
<td valign="middle" align="center">N1</td>
<td valign="middle" align="center">42.31c</td>
<td valign="middle" align="center">49.68c</td>
<td valign="middle" align="center">45.22b</td>
<td valign="middle" align="center">65.21c</td>
</tr>
<tr>
<td valign="middle" align="center">N2</td>
<td valign="middle" align="center">59.52a</td>
<td valign="middle" align="center">54.98a</td>
<td valign="middle" align="center">50.86a</td>
<td valign="middle" align="center">85.19a</td>
</tr>
<tr>
<td valign="middle" align="center">N3</td>
<td valign="middle" align="center">47.69b</td>
<td valign="middle" align="center">50.67b</td>
<td valign="middle" align="center">44.27c</td>
<td valign="middle" align="center">82.66b</td>
</tr>
<tr>
<td valign="middle" colspan="2" align="center">Average</td>
<td valign="middle" align="center">49.84B</td>
<td valign="middle" align="center">51.78B</td>
<td valign="middle" align="center">46.78B</td>
<td valign="middle" align="center">77.69A</td>
</tr>
<tr>
<td valign="middle" rowspan="3" align="center">K2</td>
<td valign="middle" align="center">N1</td>
<td valign="middle" align="center">45.86c</td>
<td valign="middle" align="center">52.88b</td>
<td valign="middle" align="center">49.32c</td>
<td valign="middle" align="center">72.41c</td>
</tr>
<tr>
<td valign="middle" align="center">N2</td>
<td valign="middle" align="center">57.40b</td>
<td valign="middle" align="center">54.86a</td>
<td valign="middle" align="center">51.91a</td>
<td valign="middle" align="center">81.93b</td>
</tr>
<tr>
<td valign="middle" align="center">N3</td>
<td valign="middle" align="center">63.10a</td>
<td valign="middle" align="center">55.21a</td>
<td valign="middle" align="center">50.95b</td>
<td valign="middle" align="center">85.68a</td>
</tr>
<tr>
<td valign="middle" colspan="2" align="center">Average</td>
<td valign="middle" align="center">55.46A</td>
<td valign="middle" align="center">54.32A</td>
<td valign="middle" align="center">50.72A</td>
<td valign="middle" align="center">80.01A</td>
</tr>
<tr>
<th valign="middle" colspan="7" align="left">One way ANOVA analysis</th>
</tr>
<tr>
<td valign="middle" colspan="3" align="center">Year (Y)</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">**</td>
</tr>
<tr>
<td valign="middle" colspan="3" align="center">K application (K)</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">**</td>
</tr>
<tr>
<td valign="middle" colspan="3" align="center">N application (N)</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">**</td>
</tr>
<tr>
<td valign="middle" colspan="3" align="center">Y&#xd7;K</td>
<td valign="middle" align="center">*</td>
<td valign="middle" align="center">*</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">ns</td>
</tr>
<tr>
<td valign="middle" colspan="3" align="center">Y&#xd7;N</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">ns</td>
</tr>
<tr>
<td valign="middle" colspan="3" align="center">K&#xd7;N</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">**</td>
</tr>
<tr>
<td valign="middle" colspan="3" align="center">Y&#xd7;K&#xd7;N</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">*</td>
<td valign="middle" align="center">**</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>Different small letters after the data in the same column indicate significant differences between treatments under the same potash treatment and the same year, and the capital letters after the average data indicate significant differences between K1 and K2 (P&lt;0.05) * and ** indicate significant effects at the 0.05 and 0.01 probability levels, respectively, and ns indicates no significant effect.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>Across K treatments, most N export parameters were higher in K2 than in K1. On average, N export amount and increased grain N rose by 8.44% and 5.01%, respectively, compared with K1 over two years. Under K2, N export amount, export rate, and increased grain N increased with higher panicle N application, peaking in N3 (N3 &gt; N2 &gt; N1). N3 increased these parameters by 38.09%, 4.62%, and 27.45% compared with N1, and by 14.53%, 1.45%, and 12.45% compared with N2. The N export contribution rate showed inconsistent trends over the years.</p>
</sec>
<sec id="s3_6">
<label>3.6</label>
<title>Potassium uptake and utilization</title>
<p>Year highly significantly affected total K accumulation, K dry matter production efficiency, and K harvest index at late growth stages (<xref ref-type="table" rid="T7">
<bold>Table&#xa0;7</bold>
</xref>). K application highly significantly influenced total K accumulation at maturity and K harvest index. N application significantly or highly significantly impacted total K accumulation at all stages and K dry matter production efficiency. The year &#xd7; K and year &#xd7; N interactions significantly or highly significantly affected the K harvest index. The K &#xd7; N interaction highly significantly influenced total K accumulation at all stages. The three-way interaction (year &#xd7; K &#xd7; N) highly significantly affected K grain production efficiency.</p>
<table-wrap id="T7" position="float">
<label>Table&#xa0;7</label>
<caption>
<p>Effects of N-K management strategies on potassium uptake and utilization in machine-transplanted rice.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" rowspan="2" align="center">Year</th>
<th valign="middle" rowspan="2" colspan="2" align="center">Treatment</th>
<th valign="middle" colspan="4" align="center">K accumulation (kg ha<sup>-1</sup>)</th>
<th valign="middle" colspan="2" align="center">K productivity (kg kg<sup>-1</sup>)</th>
<th valign="middle" rowspan="2" align="center">KHI(%)</th>
</tr>
<tr>
<th valign="middle" align="center">FTS</th>
<th valign="middle" align="center">JS</th>
<th valign="middle" align="center">FHS</th>
<th valign="middle" align="center">MS</th>
<th valign="middle" align="center">Dry matter</th>
<th valign="middle" align="center">Rice grain</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="middle" rowspan="8" align="center">2018</td>
<td valign="middle" rowspan="3" align="center">K1</td>
<td valign="middle" align="center">N1</td>
<td valign="middle" align="center">36.39b</td>
<td valign="middle" align="center">70.06c</td>
<td valign="middle" align="center">162.75c</td>
<td valign="middle" align="center">163.47c</td>
<td valign="middle" align="center">96.02a</td>
<td valign="middle" align="center">59.83a</td>
<td valign="middle" align="center">25.81c</td>
</tr>
<tr>
<td valign="middle" align="center">N2</td>
<td valign="middle" align="center">39.99a</td>
<td valign="middle" align="center">91.09a</td>
<td valign="middle" align="center">191.68a</td>
<td valign="middle" align="center">199.89a</td>
<td valign="middle" align="center">90.27b</td>
<td valign="middle" align="center">52.67b</td>
<td valign="middle" align="center">31.04a</td>
</tr>
<tr>
<td valign="middle" align="center">N3</td>
<td valign="middle" align="center">34.87b</td>
<td valign="middle" align="center">76.52b</td>
<td valign="middle" align="center">174.46b</td>
<td valign="middle" align="center">177.46b</td>
<td valign="middle" align="center">86.59c</td>
<td valign="middle" align="center">49.84c</td>
<td valign="middle" align="center">29.30b</td>
</tr>
<tr>
<td valign="middle" colspan="2" align="center">Average</td>
<td valign="middle" align="center">37.08A</td>
<td valign="middle" align="center">79.22A</td>
<td valign="middle" align="center">176.30A</td>
<td valign="middle" align="center">180.27B</td>
<td valign="middle" align="center">90.96A</td>
<td valign="middle" align="center">54.11A</td>
<td valign="middle" align="center">28.71A</td>
</tr>
<tr>
<td valign="middle" rowspan="3" align="center">K2</td>
<td valign="middle" align="center">N1</td>
<td valign="middle" align="center">32.83c</td>
<td valign="middle" align="center">70.56b</td>
<td valign="middle" align="center">164.40c</td>
<td valign="middle" align="center">171.49c</td>
<td valign="middle" align="center">93.34a</td>
<td valign="middle" align="center">56.09a</td>
<td valign="middle" align="center">31.22b</td>
</tr>
<tr>
<td valign="middle" align="center">N2</td>
<td valign="middle" align="center">36.91b</td>
<td valign="middle" align="center">77.20a</td>
<td valign="middle" align="center">179.37b</td>
<td valign="middle" align="center">189.53b</td>
<td valign="middle" align="center">90.87b</td>
<td valign="middle" align="center">52.62b</td>
<td valign="middle" align="center">31.20b</td>
</tr>
<tr>
<td valign="middle" align="center">N3</td>
<td valign="middle" align="center">41.96a</td>
<td valign="middle" align="center">81.52a</td>
<td valign="middle" align="center">194.70a</td>
<td valign="middle" align="center">212.51a</td>
<td valign="middle" align="center">87.39c</td>
<td valign="middle" align="center">49.64c</td>
<td valign="middle" align="center">34.72a</td>
</tr>
<tr>
<td valign="middle" colspan="2" align="center">Average</td>
<td valign="middle" align="center">37.23A</td>
<td valign="middle" align="center">76.76A</td>
<td valign="middle" align="center">179.49A</td>
<td valign="middle" align="center">191.17A</td>
<td valign="middle" align="center">90.53A</td>
<td valign="middle" align="center">52.78A</td>
<td valign="middle" align="center">32.38A</td>
</tr>
<tr>
<td valign="middle" rowspan="7" align="center">2019</td>
<td valign="middle" rowspan="3" align="center">K1</td>
<td valign="middle" align="center">N1</td>
<td valign="middle" align="center">38.30b</td>
<td valign="middle" align="center">85.65c</td>
<td valign="middle" align="center">197.06c</td>
<td valign="middle" align="center">200.30c</td>
<td valign="middle" align="center">77.03a</td>
<td valign="middle" align="center">49.70b</td>
<td valign="middle" align="center">21.21a</td>
</tr>
<tr>
<td valign="middle" align="center">N2</td>
<td valign="middle" align="center">41.90a</td>
<td valign="middle" align="center">104.66a</td>
<td valign="middle" align="center">241.98a</td>
<td valign="middle" align="center">246.37a</td>
<td valign="middle" align="center">70.78c</td>
<td valign="middle" align="center">47.49c</td>
<td valign="middle" align="center">19.14b</td>
</tr>
<tr>
<td valign="middle" align="center">N3</td>
<td valign="middle" align="center">34.75c</td>
<td valign="middle" align="center">87.97b</td>
<td valign="middle" align="center">212.19b</td>
<td valign="middle" align="center">219.43b</td>
<td valign="middle" align="center">72.71b</td>
<td valign="middle" align="center">51.45a</td>
<td valign="middle" align="center">21.27a</td>
</tr>
<tr>
<td valign="middle" colspan="2" align="center">Average</td>
<td valign="middle" align="center">38.32A</td>
<td valign="middle" align="center">92.76A</td>
<td valign="middle" align="center">217.07A</td>
<td valign="middle" align="center">222.03A</td>
<td valign="middle" align="center">73.51A</td>
<td valign="middle" align="center">49.55A</td>
<td valign="middle" align="center">20.54A</td>
</tr>
<tr>
<td valign="middle" rowspan="1" align="center">K2</td>
<td valign="middle" align="center">N1</td>
<td valign="middle" align="center">34.39c</td>
<td valign="middle" align="center">81.03c</td>
<td valign="middle" align="center">194.59c</td>
<td valign="middle" align="center">195.37c</td>
<td valign="middle" align="center">76.00a</td>
<td valign="middle" align="center">53.39a</td>
<td valign="middle" align="center">21.71a</td>
</tr>
<tr>
<td valign="middle" align="center">N2</td>
<td valign="middle" align="center">37.37b</td>
<td valign="middle" align="center">95.20b</td>
<td valign="middle" align="center">222.48b</td>
<td valign="middle" align="center">226.62b</td>
<td valign="middle" align="center">71.86b</td>
<td valign="middle" align="center">49.78b</td>
<td valign="middle" align="center">20.21c</td>
</tr>
<tr>
<td valign="middle" align="center">N3</td>
<td valign="middle" align="center">45.48a</td>
<td valign="middle" align="center">104.21a</td>
<td valign="middle" align="center">242.63a</td>
<td valign="middle" align="center">253.17a</td>
<td valign="middle" align="center">68.94c</td>
<td valign="middle" align="center">46.04c</td>
<td valign="middle" align="center">21.23b</td>
</tr>
<tr>
<td valign="middle" align="center"/>
<td valign="middle" colspan="2" align="center">Average</td>
<td valign="middle" align="center">39.08A</td>
<td valign="middle" align="center">93.48A</td>
<td valign="middle" align="center">219.90A</td>
<td valign="middle" align="center">225.05A</td>
<td valign="middle" align="center">72.27A</td>
<td valign="middle" align="center">49.74A</td>
<td valign="middle" align="center">21.05A</td>
</tr>
<tr>
<th valign="middle" colspan="10" align="left">One way ANOVA analysis</th>
</tr>
<tr>
<td valign="middle" colspan="3" align="center">Year (Y)</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">**</td>
</tr>
<tr>
<td valign="middle" colspan="3" align="center">K application (K)</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">**</td>
</tr>
<tr>
<td valign="middle" colspan="3" align="center">N application (N)</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">*</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">ns</td>
</tr>
<tr>
<td valign="middle" colspan="3" align="center">Y&#xd7;K</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">**</td>
</tr>
<tr>
<td valign="middle" colspan="3" align="center">Y&#xd7;N</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">*</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">*</td>
<td valign="middle" align="center">*</td>
</tr>
<tr>
<td valign="middle" colspan="3" align="center">K&#xd7;N</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">ns</td>
</tr>
<tr>
<td valign="middle" colspan="3" align="center">Y&#xd7;K&#xd7;N</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">ns</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>FTS, Fully tillering stage; JS, Jointing stage; FHS, Full heading stage; MS, Maturity stages; Different small letters after the data in the same column indicate significant differences between treatments under the same potash treatment and the same year, and the capital letters after the average data indicate significant differences between K1 and K2((P&lt;0.05)) * and ** indicate significant effects at the 0.05 and 0.01 probability levels, respectively, and ns indicates no significant effect.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>Across K treatments, total K accumulation during late growth stages was higher in K2 than in K1, averaging a 3.46% increase at maturity. K dry matter production efficiency was highest in K1, though differences among treatments were nonsignificant. The K harvest index peaked in K2, averaging an 8.49% increase compared with K1. Under K2, total K accumulation peaked in N3, differing significantly from N1 and N2: at heading and maturity, N3 increased accumulation by 21.82% and 26.94% compared with N1, and by 8.83% and 11.90% compared with N2. K dry matter production efficiency peaked in N1 with significant differences, while the K harvest index showed inconsistent trends between years.</p>
</sec>
<sec id="s3_7">
<label>3.7</label>
<title>Potassium translocation</title>
<p>Year and K application highly significantly affected K export amount, export rate, and increased grain K in machine-transplanted rice (<xref ref-type="table" rid="T8">
<bold>Table&#xa0;8</bold>
</xref>). N application rate, the year &#xd7; K interaction, the year &#xd7; N interaction, and the K &#xd7; N interaction significantly or highly significantly influenced all K export parameters.</p>
<table-wrap id="T8" position="float">
<label>Table&#xa0;8</label>
<caption>
<p>Effects of N-K management strategies on potassium translocation in machine-transplanted rice.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" align="center">Year</th>
<th valign="middle" colspan="2" align="center">Treatment</th>
<th valign="middle" align="center">Export amount (kg ha<sup>-1</sup>)</th>
<th valign="middle" align="center">Export rate (%)</th>
<th valign="middle" align="center">Contribution rate (%)</th>
<th valign="middle" align="center">Increased grain K (kg ha<sup>-1</sup>)</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="middle" rowspan="8" align="center">2018</td>
<td valign="middle" rowspan="3" align="center">K1</td>
<td valign="middle" align="center">N1</td>
<td valign="middle" align="center">25.84b</td>
<td valign="middle" align="center">17.56b</td>
<td valign="middle" align="center">61.24a</td>
<td valign="middle" align="center">26.57c</td>
</tr>
<tr>
<td valign="middle" align="center">N2</td>
<td valign="middle" align="center">33.97a</td>
<td valign="middle" align="center">19.77a</td>
<td valign="middle" align="center">54.80b</td>
<td valign="middle" align="center">42.18a</td>
</tr>
<tr>
<td valign="middle" align="center">N3</td>
<td valign="middle" align="center">33.79a</td>
<td valign="middle" align="center">21.21a</td>
<td valign="middle" align="center">65.00a</td>
<td valign="middle" align="center">36.78b</td>
</tr>
<tr>
<td valign="middle" colspan="2" align="center">Average</td>
<td valign="middle" align="center">31.20A</td>
<td valign="middle" align="center">19.51A</td>
<td valign="middle" align="center">60.50A</td>
<td valign="middle" align="center">35.18B</td>
</tr>
<tr>
<td valign="middle" rowspan="3" align="center">K2</td>
<td valign="middle" align="center">N1</td>
<td valign="middle" align="center">28.89b</td>
<td valign="middle" align="center">19.66a</td>
<td valign="middle" align="center">53.97a</td>
<td valign="middle" align="center">35.98c</td>
</tr>
<tr>
<td valign="middle" align="center">N2</td>
<td valign="middle" align="center">30.75ab</td>
<td valign="middle" align="center">19.08a</td>
<td valign="middle" align="center">51.98ab</td>
<td valign="middle" align="center">40.92b</td>
</tr>
<tr>
<td valign="middle" align="center">N3</td>
<td valign="middle" align="center">34.28a</td>
<td valign="middle" align="center">19.81a</td>
<td valign="middle" align="center">46.46b</td>
<td valign="middle" align="center">52.09a</td>
</tr>
<tr>
<td valign="middle" colspan="2" align="center">Average</td>
<td valign="middle" align="center">31.31A</td>
<td valign="middle" align="center">19.51A</td>
<td valign="middle" align="center">50.80B</td>
<td valign="middle" align="center">43.00A</td>
</tr>
<tr>
<td valign="middle" rowspan="8" align="center">2019</td>
<td valign="middle" rowspan="3" align="center">K1</td>
<td valign="middle" align="center">N1</td>
<td valign="middle" align="center">25.15a</td>
<td valign="middle" align="center">13.75a</td>
<td valign="middle" align="center">59.22a</td>
<td valign="middle" align="center">28.39b</td>
</tr>
<tr>
<td valign="middle" align="center">N2</td>
<td valign="middle" align="center">25.49a</td>
<td valign="middle" align="center">11.34b</td>
<td valign="middle" align="center">24.05b</td>
<td valign="middle" align="center">29.88a</td>
</tr>
<tr>
<td valign="middle" align="center">N3</td>
<td valign="middle" align="center">22.74b</td>
<td valign="middle" align="center">11.63b</td>
<td valign="middle" align="center">48.73c</td>
<td valign="middle" align="center">29.99a</td>
</tr>
<tr>
<td valign="middle" colspan="2" align="center">Average</td>
<td valign="middle" align="center">24.46B</td>
<td valign="middle" align="center">12.24B</td>
<td valign="middle" align="center">54.00A</td>
<td valign="middle" align="center">29.42A</td>
</tr>
<tr>
<td valign="middle" rowspan="3" align="center">K2</td>
<td valign="middle" align="center">N1</td>
<td valign="middle" align="center">28.70a</td>
<td valign="middle" align="center">15.80a</td>
<td valign="middle" align="center">67.68a</td>
<td valign="middle" align="center">29.48b</td>
</tr>
<tr>
<td valign="middle" align="center">N2</td>
<td valign="middle" align="center">25.88b</td>
<td valign="middle" align="center">12.52c</td>
<td valign="middle" align="center">56.49b</td>
<td valign="middle" align="center">30.02b</td>
</tr>
<tr>
<td valign="middle" align="center">N3</td>
<td valign="middle" align="center">29.91a</td>
<td valign="middle" align="center">13.55b</td>
<td valign="middle" align="center">57.67b</td>
<td valign="middle" align="center">31.87a</td>
</tr>
<tr>
<td valign="middle" colspan="2" align="center">Average</td>
<td valign="middle" align="center">28.16A</td>
<td valign="middle" align="center">13.96A</td>
<td valign="middle" align="center">54.62A</td>
<td valign="middle" align="center">30.45A</td>
</tr>
<tr>
<th valign="middle" colspan="7" align="left">One way ANOVA analysis</th>
</tr>
<tr>
<td valign="middle" colspan="3" align="center">Year (Y)</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">**</td>
</tr>
<tr>
<td valign="middle" colspan="3" align="center">K application (K)</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">**</td>
</tr>
<tr>
<td valign="middle" colspan="3" align="center">N application (N)</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">*</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">**</td>
</tr>
<tr>
<td valign="middle" colspan="3" align="center">Y&#xd7;K</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">*</td>
</tr>
<tr>
<td valign="middle" colspan="3" align="center">Y&#xd7;N</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">**</td>
</tr>
<tr>
<td valign="middle" colspan="3" align="center">K&#xd7;N</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">*</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">*</td>
</tr>
<tr>
<td valign="middle" colspan="3" align="center">Y&#xd7;K&#xd7;N</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">ns</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>Different small letters after the data in the same column indicate significant differences between treatments under the same potash treatment and the same year, and the capital letters after the average data indicate significant differences between K1 and K2 (P&lt;0.05) * and ** indicate significant effects at the 0.05 and 0.01 probability levels, respectively, and ns indicates no significant effect.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>Across K treatments, K export amount and increased grain K were higher in K2 than in K1, averaging increases of 6.85% and 13.70%, respectively, compared with K1 across two years. Under K2, K export amount and increased grain K increased with higher panicle N application, peaking in N3. N3 increased these parameters by 11.46% and 28.26% compared with N1, and by 13.35% and 18.35% compared with N2. K export rate and contribution rate showed inconsistent trends between years.</p>
</sec>
<sec id="s3_8">
<label>3.8</label>
<title>Culm physical traits</title>
<p>Year significantly or highly significantly affected internode length, wall thickness, and plant height in machine-transplanted rice (<xref ref-type="table" rid="T9">
<bold>Table&#xa0;9</bold>
</xref>). K application highly significantly influenced the wall thickness of S2 and S3 internodes. N application and the year &#xd7; K interaction significantly or highly significantly affected wall thickness. The K &#xd7; N interaction significantly or highly significantly impacted internode length and wall thickness. The three-way interaction (year &#xd7; K &#xd7; N) highly significantly affected S4 internode length and the wall thickness of S2 and S4 internodes.</p>
<table-wrap id="T9" position="float">
<label>Table&#xa0;9</label>
<caption>
<p>Effects of N-K management strategies on culm physical traits in machine-transplanted rice.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" rowspan="2" align="center">Year</th>
<th valign="middle" rowspan="2" colspan="2" align="center">Treatment</th>
<th valign="middle" colspan="3" align="center">Internode length (cm)</th>
<th valign="middle" colspan="3" align="center">Stem diameter (mm)</th>
<th valign="middle" colspan="3" align="center">Wall thickness (mm)</th>
<th valign="middle" rowspan="2" align="center">Plant height (cm)</th>
</tr>
<tr>
<th valign="middle" align="center">S2</th>
<th valign="middle" align="center">S3</th>
<th valign="middle" align="center">S4</th>
<th valign="middle" align="center">S2</th>
<th valign="middle" align="center">S3</th>
<th valign="middle" align="center">S4</th>
<th valign="middle" align="center">S2</th>
<th valign="middle" align="center">S3</th>
<th valign="middle" align="center">S4</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="middle" rowspan="8" align="center">2018</td>
<td valign="middle" rowspan="3" align="center">K1</td>
<td valign="middle" align="center">N1</td>
<td valign="middle" align="center">4.80b</td>
<td valign="middle" align="center">7.15c</td>
<td valign="middle" align="center">11.91a</td>
<td valign="middle" align="center">6.96c</td>
<td valign="middle" align="center">6.38b</td>
<td valign="middle" align="center">5.90c</td>
<td valign="middle" align="center">0.83a</td>
<td valign="middle" align="center">0.54a</td>
<td valign="middle" align="center">0.38a</td>
<td valign="middle" align="center">130.63a</td>
</tr>
<tr>
<td valign="middle" align="center">N2</td>
<td valign="middle" align="center">5.71a</td>
<td valign="middle" align="center">8.21a</td>
<td valign="middle" align="center">11.49b</td>
<td valign="middle" align="center">7.31a</td>
<td valign="middle" align="center">6.85a</td>
<td valign="middle" align="center">6.44a</td>
<td valign="middle" align="center">0.75c</td>
<td valign="middle" align="center">0.43c</td>
<td valign="middle" align="center">0.30c</td>
<td valign="middle" align="center">127.40b</td>
</tr>
<tr>
<td valign="middle" align="center">N3</td>
<td valign="middle" align="center">4.38c</td>
<td valign="middle" align="center">7.86b</td>
<td valign="middle" align="center">10.50c</td>
<td valign="middle" align="center">7.18b</td>
<td valign="middle" align="center">6.92a</td>
<td valign="middle" align="center">6.23b</td>
<td valign="middle" align="center">0.78b</td>
<td valign="middle" align="center">0.48b</td>
<td valign="middle" align="center">0.34b</td>
<td valign="middle" align="center">124.17c</td>
</tr>
<tr>
<td valign="middle" colspan="2" align="center">Average</td>
<td valign="middle" align="center">5.02A</td>
<td valign="middle" align="center">7.74A</td>
<td valign="middle" align="center">11.30A</td>
<td valign="middle" align="center">7.15A</td>
<td valign="middle" align="center">6.72A</td>
<td valign="middle" align="center">6.19A</td>
<td valign="middle" align="center">0.79A</td>
<td valign="middle" align="center">0.48A</td>
<td valign="middle" align="center">0.34B</td>
<td valign="middle" align="center">127.4A</td>
</tr>
<tr>
<td valign="middle" rowspan="3" align="center">K2</td>
<td valign="middle" align="center">N1</td>
<td valign="middle" align="center">4.74b</td>
<td valign="middle" align="center">8.21a</td>
<td valign="middle" align="center">11.61b</td>
<td valign="middle" align="center">7.30b</td>
<td valign="middle" align="center">6.91c</td>
<td valign="middle" align="center">6.59ab</td>
<td valign="middle" align="center">0.73c</td>
<td valign="middle" align="center">0.50b</td>
<td valign="middle" align="center">0.39b</td>
<td valign="middle" align="center">123.18c</td>
</tr>
<tr>
<td valign="middle" align="center">N2</td>
<td valign="middle" align="center">4.53b</td>
<td valign="middle" align="center">7.70b</td>
<td valign="middle" align="center">11.17c</td>
<td valign="middle" align="center">7.27b</td>
<td valign="middle" align="center">7.04b</td>
<td valign="middle" align="center">6.63a</td>
<td valign="middle" align="center">0.79b</td>
<td valign="middle" align="center">0.57a</td>
<td valign="middle" align="center">0.43a</td>
<td valign="middle" align="center">128.98a</td>
</tr>
<tr>
<td valign="middle" align="center">N3</td>
<td valign="middle" align="center">5.08a</td>
<td valign="middle" align="center">7.31c</td>
<td valign="middle" align="center">12.22a</td>
<td valign="middle" align="center">7.53a</td>
<td valign="middle" align="center">7.25a</td>
<td valign="middle" align="center">6.58b</td>
<td valign="middle" align="center">0.86a</td>
<td valign="middle" align="center">0.43c</td>
<td valign="middle" align="center">0.37b</td>
<td valign="middle" align="center">126.61b</td>
</tr>
<tr>
<td valign="middle" colspan="2" align="center">Average</td>
<td valign="middle" align="center">4.79A</td>
<td valign="middle" align="center">7.74A</td>
<td valign="middle" align="center">11.66A</td>
<td valign="middle" align="center">7.37A</td>
<td valign="middle" align="center">7.01A</td>
<td valign="middle" align="center">6.60A</td>
<td valign="middle" align="center">0.79A</td>
<td valign="middle" align="center">0.50A</td>
<td valign="middle" align="center">0.39A</td>
<td valign="middle" align="center">126.26A</td>
</tr>
<tr>
<td valign="middle" rowspan="8" align="center">2019</td>
<td valign="middle" rowspan="3" align="center">K1</td>
<td valign="middle" align="center">N1</td>
<td valign="middle" align="center">5.55b</td>
<td valign="middle" align="center">7.53c</td>
<td valign="middle" align="center">14.93a</td>
<td valign="middle" align="center">7.29c</td>
<td valign="middle" align="center">6.78c</td>
<td valign="middle" align="center">6.23b</td>
<td valign="middle" align="center">0.68a</td>
<td valign="middle" align="center">0.56a</td>
<td valign="middle" align="center">0.39a</td>
<td valign="middle" align="center">123.59b</td>
</tr>
<tr>
<td valign="middle" align="center">N2</td>
<td valign="middle" align="center">6.86a</td>
<td valign="middle" align="center">8.85a</td>
<td valign="middle" align="center">12.39b</td>
<td valign="middle" align="center">7.60a</td>
<td valign="middle" align="center">7.26a</td>
<td valign="middle" align="center">6.35a</td>
<td valign="middle" align="center">0.44c</td>
<td valign="middle" align="center">0.35c</td>
<td valign="middle" align="center">0.18c</td>
<td valign="middle" align="center">125.59a</td>
</tr>
<tr>
<td valign="middle" align="center">N3</td>
<td valign="middle" align="center">5.06c</td>
<td valign="middle" align="center">8.35b</td>
<td valign="middle" align="center">10.09c</td>
<td valign="middle" align="center">7.36b</td>
<td valign="middle" align="center">7.00b</td>
<td valign="middle" align="center">6.24b</td>
<td valign="middle" align="center">0.58b</td>
<td valign="middle" align="center">0.47b</td>
<td valign="middle" align="center">0.27b</td>
<td valign="middle" align="center">116.26c</td>
</tr>
<tr>
<td valign="middle" colspan="2" align="center">Average</td>
<td valign="middle" align="center">5.82A</td>
<td valign="middle" align="center">8.24A</td>
<td valign="middle" align="center">12.47A</td>
<td valign="middle" align="center">7.42A</td>
<td valign="middle" align="center">7.01A</td>
<td valign="middle" align="center">6.27A</td>
<td valign="middle" align="center">0.57B</td>
<td valign="middle" align="center">0.46A</td>
<td valign="middle" align="center">0.28A</td>
<td valign="middle" align="center">121.85A</td>
</tr>
<tr>
<td valign="middle" rowspan="1" align="center">K2</td>
<td valign="middle" align="center">N1</td>
<td valign="middle" align="center">5.64b</td>
<td valign="middle" align="center">8.37a</td>
<td valign="middle" align="center">12.36b</td>
<td valign="middle" align="center">7.39b</td>
<td valign="middle" align="center">6.89b</td>
<td valign="middle" align="center">6.29b</td>
<td valign="middle" align="center">0.51c</td>
<td valign="middle" align="center">0.31b</td>
<td valign="middle" align="center">0.23b</td>
<td valign="middle" align="center">120.65a</td>
</tr>
<tr>
<td valign="middle" align="center">N2</td>
<td valign="middle" align="center">5.52c</td>
<td valign="middle" align="center">8.22b</td>
<td valign="middle" align="center">11.62c</td>
<td valign="middle" align="center">7.47a</td>
<td valign="middle" align="center">7.07a</td>
<td valign="middle" align="center">6.37a</td>
<td valign="middle" align="center">0.65b</td>
<td valign="middle" align="center">0.48a</td>
<td valign="middle" align="center">0.36a</td>
<td valign="middle" align="center">119.22b</td>
</tr>
<tr>
<td valign="middle" align="center">N3</td>
<td valign="middle" align="center">6.21a</td>
<td valign="middle" align="center">8.08c</td>
<td valign="middle" align="center">13.94a</td>
<td valign="middle" align="center">7.44a</td>
<td valign="middle" align="center">6.84c</td>
<td valign="middle" align="center">6.29b</td>
<td valign="middle" align="center">0.69a</td>
<td valign="middle" align="center">0.27c</td>
<td valign="middle" align="center">0.10b</td>
<td valign="middle" align="center">116.67c</td>
</tr>
<tr>
<td valign="middle" colspan="2" align="center">Average</td>
<td valign="middle" align="center">5.79A</td>
<td valign="middle" align="center">8.22A</td>
<td valign="middle" align="center">12.64A</td>
<td valign="middle" align="center">7.43A</td>
<td valign="middle" align="center">6.93A</td>
<td valign="middle" align="center">6.32A</td>
<td valign="middle" align="center">0.62A</td>
<td valign="middle" align="center">0.35B</td>
<td valign="middle" align="center">0.23B</td>
<td valign="middle" align="center">118.85A</td>
</tr>
<tr>
<th valign="middle" colspan="13" align="left">One way ANOVA analysis</th>
</tr>
<tr>
<td valign="middle" colspan="3" align="center">Year (Y)</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">*</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">*</td>
</tr>
<tr>
<td valign="middle" colspan="3" align="center">K application (K)</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">*</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">ns</td>
</tr>
<tr>
<td valign="middle" colspan="3" align="center">N application (N)</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">*</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">ns</td>
</tr>
<tr>
<td valign="middle" colspan="3" align="center">Y&#xd7;K</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">*</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">ns</td>
</tr>
<tr>
<td valign="middle" colspan="3" align="center">Y&#xd7;N</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">*</td>
<td valign="middle" align="center">ns</td>
</tr>
<tr>
<td valign="middle" colspan="3" align="center">K&#xd7;N</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">*</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">ns</td>
</tr>
<tr>
<td valign="middle" colspan="3" align="center">Y&#xd7;K&#xd7;N</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">ns</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>S2, penultimate internode from top to bottom of morphology; S3, antepenultimate internode; S4, last four internode; Different small letters after the data in the same column indicate significant differences between treatments under the same potash treatment and the same year, and the capital letters after the average data indicate significant differences between K1 and K2 (P&lt;0.05) * and ** indicate significant effects at the 0.05 and 0.01 probability levels, respectively, and ns indicates no significant effect.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>Across K treatments, S2 internode length and S4 stem diameter were higher in K2 than in K1, although differences were nonsignificant; plant height was higher in K1 than in K2, also with nonsignificant differences. Under K2, S2 and S4 internode lengths peaked in N3, while S3 internode length peaked in N1. S2 stem diameter peaked in N3. S2 wall thickness peaked in N3, while S3 and S4 wall thickness peaked in N2, all with significant differences.</p>
</sec>
<sec id="s3_9">
<label>3.9</label>
<title>Lodging index</title>
<p>Year and K application highly significantly affected internode resistance and breaking moment of all internodes (<xref ref-type="table" rid="T10">
<bold>Table&#xa0;10</bold>
</xref>). N application significantly or highly significantly influenced all parameters except the S4 bending moment. The year &#xd7; K interaction significantly or highly significantly impacted the S2 and S3 bending moments and the breaking moment. The K &#xd7; N interaction significantly or highly significantly affected the S2 and S3 bending moments and the S4 breaking moment.</p>
<table-wrap id="T10" position="float">
<label>Table&#xa0;10</label>
<caption>
<p>Effects of N-K management strategies on lodging index in machine-transplanted rice.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" rowspan="2" align="center">Year</th>
<th valign="middle" rowspan="2" colspan="2" align="center">Treatment</th>
<th valign="middle" colspan="3" align="center">Internode resistance (g&#xb7;cm)</th>
<th valign="middle" colspan="3" align="center">Breaking resistance (g&#xb7;cm)</th>
<th valign="middle" colspan="3" align="center">Lodging index (%)</th>
</tr>
<tr>
<th valign="middle" align="center">S2</th>
<th valign="middle" align="center">S3</th>
<th valign="middle" align="center">S4</th>
<th valign="middle" align="center">S2</th>
<th valign="middle" align="center">S3</th>
<th valign="middle" align="center">S4</th>
<th valign="middle" align="center">S2</th>
<th valign="middle" align="center">S3</th>
<th valign="middle" align="center">S4</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="middle" rowspan="8" align="center">2018</td>
<td valign="middle" rowspan="3" align="center">K1</td>
<td valign="middle" align="center">N1</td>
<td valign="middle" align="center">3124.30a</td>
<td valign="middle" align="center">2786.12a</td>
<td valign="middle" align="center">2415.31a</td>
<td valign="middle" align="center">2750.67c</td>
<td valign="middle" align="center">2481.22b</td>
<td valign="middle" align="center">2080.00a</td>
<td valign="middle" align="center">113.59a</td>
<td valign="middle" align="center">112.29a</td>
<td valign="middle" align="center">116.13a</td>
</tr>
<tr>
<td valign="middle" align="center">N2</td>
<td valign="middle" align="center">3003.00b</td>
<td valign="middle" align="center">2701.77b</td>
<td valign="middle" align="center">2375.88b</td>
<td valign="middle" align="center">2771.44b</td>
<td valign="middle" align="center">2486.44b</td>
<td valign="middle" align="center">2038.56b</td>
<td valign="middle" align="center">108.36b</td>
<td valign="middle" align="center">106.39b</td>
<td valign="middle" align="center">116.55a</td>
</tr>
<tr>
<td valign="middle" align="center">N3</td>
<td valign="middle" align="center">2911.87c</td>
<td valign="middle" align="center">2616.23c</td>
<td valign="middle" align="center">2212.00c</td>
<td valign="middle" align="center">2801.56a</td>
<td valign="middle" align="center">2539.78a</td>
<td valign="middle" align="center">1971.89c</td>
<td valign="middle" align="center">103.94c</td>
<td valign="middle" align="center">105.24c</td>
<td valign="middle" align="center">112.19b</td>
</tr>
<tr>
<td valign="middle" colspan="2" align="center">Average</td>
<td valign="middle" align="center">3013.06A</td>
<td valign="middle" align="center">2701.38A</td>
<td valign="middle" align="center">2334.39A</td>
<td valign="middle" align="center">2774.56A</td>
<td valign="middle" align="center">2502.48A</td>
<td valign="middle" align="center">2030.15A</td>
<td valign="middle" align="center">108.63A</td>
<td valign="middle" align="center">107.97A</td>
<td valign="middle" align="center">114.96A</td>
</tr>
<tr>
<td valign="middle" rowspan="3" align="center">K2</td>
<td valign="middle" align="center">N1</td>
<td valign="middle" align="center">2999.12b</td>
<td valign="middle" align="center">2631.71b</td>
<td valign="middle" align="center">2113.94b</td>
<td valign="middle" align="center">2656.28b</td>
<td valign="middle" align="center">2355.89b</td>
<td valign="middle" align="center">1801.28c</td>
<td valign="middle" align="center">112.91a</td>
<td valign="middle" align="center">111.73a</td>
<td valign="middle" align="center">117.37a</td>
</tr>
<tr>
<td valign="middle" align="center">N2</td>
<td valign="middle" align="center">2936.17c</td>
<td valign="middle" align="center">2552.94c</td>
<td valign="middle" align="center">2067.86c</td>
<td valign="middle" align="center">2643.11b</td>
<td valign="middle" align="center">2324.78c</td>
<td valign="middle" align="center">1923.33b</td>
<td valign="middle" align="center">111.09b</td>
<td valign="middle" align="center">109.81b</td>
<td valign="middle" align="center">115.26b</td>
</tr>
<tr>
<td valign="middle" align="center">N3</td>
<td valign="middle" align="center">3059.42a</td>
<td valign="middle" align="center">2731.23a</td>
<td valign="middle" align="center">2260.30a</td>
<td valign="middle" align="center">2783.79a</td>
<td valign="middle" align="center">2519.25a</td>
<td valign="middle" align="center">1961.12a</td>
<td valign="middle" align="center">109.90c</td>
<td valign="middle" align="center">108.41c</td>
<td valign="middle" align="center">107.53c</td>
</tr>
<tr>
<td valign="middle" colspan="2" align="center">Average</td>
<td valign="middle" align="center">2998.24A</td>
<td valign="middle" align="center">2638.62A</td>
<td valign="middle" align="center">2147.37A</td>
<td valign="middle" align="center">2694.39A</td>
<td valign="middle" align="center">2399.97A</td>
<td valign="middle" align="center">1895.25B</td>
<td valign="middle" align="center">111.30A</td>
<td valign="middle" align="center">109.98A</td>
<td valign="middle" align="center">113.38A</td>
</tr>
<tr>
<td valign="middle" rowspan="8" align="center">2019</td>
<td valign="middle" rowspan="3" align="center">K1</td>
<td valign="middle" align="center">N1</td>
<td valign="middle" align="center">3669.18a</td>
<td valign="middle" align="center">3398.94a</td>
<td valign="middle" align="center">2986.66a</td>
<td valign="middle" align="center">3193.31b</td>
<td valign="middle" align="center">2834.47c</td>
<td valign="middle" align="center">2388.32c</td>
<td valign="middle" align="center">114.91a</td>
<td valign="middle" align="center">119.92a</td>
<td valign="middle" align="center">125.05a</td>
</tr>
<tr>
<td valign="middle" align="center">N2</td>
<td valign="middle" align="center">3380.82b</td>
<td valign="middle" align="center">3168.31b</td>
<td valign="middle" align="center">2788.35c</td>
<td valign="middle" align="center">3135.60c</td>
<td valign="middle" align="center">2929.42b</td>
<td valign="middle" align="center">2445.58b</td>
<td valign="middle" align="center">107.82b</td>
<td valign="middle" align="center">108.15b</td>
<td valign="middle" align="center">114.02b</td>
</tr>
<tr>
<td valign="middle" align="center">N3</td>
<td valign="middle" align="center">3315.98c</td>
<td valign="middle" align="center">3176.23b</td>
<td valign="middle" align="center">2851.88b</td>
<td valign="middle" align="center">3226.30a</td>
<td valign="middle" align="center">3073.70a</td>
<td valign="middle" align="center">2617.91a</td>
<td valign="middle" align="center">102.79c</td>
<td valign="middle" align="center">103.37c</td>
<td valign="middle" align="center">108.94c</td>
</tr>
<tr>
<td valign="middle" colspan="2" align="center">Average</td>
<td valign="middle" align="center">3455.33A</td>
<td valign="middle" align="center">3247.83A</td>
<td valign="middle" align="center">2875.63A</td>
<td valign="middle" align="center">3185.07A</td>
<td valign="middle" align="center">2945.86A</td>
<td valign="middle" align="center">2483.94A</td>
<td valign="middle" align="center">108.51A</td>
<td valign="middle" align="center">110.48A</td>
<td valign="middle" align="center">116.00A</td>
</tr>
<tr>
<td valign="middle" rowspan="3" align="center">K2</td>
<td valign="middle" align="center">N1</td>
<td valign="middle" align="center">3182.19b</td>
<td valign="middle" align="center">2991.65b</td>
<td valign="middle" align="center">2748.84b</td>
<td valign="middle" align="center">2822.56b</td>
<td valign="middle" align="center">2573.70b</td>
<td valign="middle" align="center">2301.59b</td>
<td valign="middle" align="center">112.76a</td>
<td valign="middle" align="center">116.25a</td>
<td valign="middle" align="center">119.43a</td>
</tr>
<tr>
<td valign="middle" align="center">N2</td>
<td valign="middle" align="center">3002.36c</td>
<td valign="middle" align="center">2799.94c</td>
<td valign="middle" align="center">2575.84c</td>
<td valign="middle" align="center">2717.69c</td>
<td valign="middle" align="center">2478.91c</td>
<td valign="middle" align="center">2339.80b</td>
<td valign="middle" align="center">110.48b</td>
<td valign="middle" align="center">112.96b</td>
<td valign="middle" align="center">110.13b</td>
</tr>
<tr>
<td valign="middle" align="center">N3</td>
<td valign="middle" align="center">3340.18a</td>
<td valign="middle" align="center">3070.04a</td>
<td valign="middle" align="center">2797.64a</td>
<td valign="middle" align="center">3079.31a</td>
<td valign="middle" align="center">2770.18a</td>
<td valign="middle" align="center">2637.98a</td>
<td valign="middle" align="center">108.47c</td>
<td valign="middle" align="center">110.83c</td>
<td valign="middle" align="center">106.05c</td>
</tr>
<tr>
<td valign="middle" colspan="2" align="center">Average</td>
<td valign="middle" align="center">3174.91B</td>
<td valign="middle" align="center">2953.88B</td>
<td valign="middle" align="center">2707.44B</td>
<td valign="middle" align="center">2873.19B</td>
<td valign="middle" align="center">2607.60B</td>
<td valign="middle" align="center">2426.46A</td>
<td valign="middle" align="center">110.57A</td>
<td valign="middle" align="center">113.35A</td>
<td valign="middle" align="center">111.87A</td>
</tr>
<tr>
<th valign="middle" colspan="12" align="left">One way ANOVA analysis</th>
</tr>
<tr>
<td valign="middle" colspan="3" align="center">Year (Y)</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">ns</td>
</tr>
<tr>
<td valign="middle" colspan="3" align="center">K application (K)</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">ns</td>
</tr>
<tr>
<td valign="middle" colspan="3" align="center">N application (N)</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">*</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">*</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">*</td>
<td valign="middle" align="center">**</td>
</tr>
<tr>
<td valign="middle" colspan="3" align="center">Y&#xd7;K</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">*</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">*</td>
<td valign="middle" align="center">*</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">ns</td>
</tr>
<tr>
<td valign="middle" colspan="3" align="center">Y&#xd7;N</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">ns</td>
</tr>
<tr>
<td valign="middle" colspan="3" align="center">K&#xd7;N</td>
<td valign="middle" align="center">**</td>
<td valign="middle" align="center">*</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">*</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">ns</td>
</tr>
<tr>
<td valign="middle" colspan="3" align="center">Y&#xd7;K&#xd7;N</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">ns</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>S2, penultimate internode from top to bottom of morphology; S3, antepenultimate internode; S4, last four internode; Different small letters after the data in the same column indicate significant differences between treatments under the same potash treatment and the same year, and the capital letters after the average data indicate significant differences between K1 and K2 (P&lt;0.05) * and ** indicate significant effects at the 0.05 and 0.01 probability levels, respectively, and ns indicates no significant effect.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>Across K treatments, internode resistance and breaking moment were higher in K1 than in K2. The lodging index of S2 and S3 was higher in K2 than in K1, while that of S4 was higher in K1 than in K2; all differences were nonsignificant. Under K2, internode resistance followed the trend N3 &gt; N1 &gt; N2, with significant differences: N3 increased resistance by 3.53% (S2), 3.16% (S3), and 4.01% (S4) compared with N1, and by 7.76%, 8.38%, and 8.92% compared with N2. The breaking moment of all internodes peaked in N3, with significant differences. The lodging index showed the trend N1 &gt; N2 &gt; N3, with significant differences.</p>
</sec>
<sec id="s3_10">
<label>3.10</label>
<title>Correlation analysis</title>
<p>Yield showed significant positive correlations with total dry matter accumulation, N accumulation, the N harvest index (NHI), and K accumulation, but significant negative correlations with rice grain N productivity and rice grain K productivity. Both dry matter N productivity and rice grain N productivity, as well as dry matter K productivity and rice grain K productivity, were significantly positively correlated with the S4 lodging index. Additionally, the S2 lodging index was significantly positively correlated with the S3 lodging index.</p>
</sec>
</sec>
<sec id="s4" sec-type="discussion">
<label>4</label>
<title>Discussion</title>
<sec id="s4_1">
<label>4.1</label>
<title>Effects of N and K ratios on yield and yield components in mechanical transplanting rice</title>
<p>Nitrogen and potassium, as essential macronutrients for rice growth, critically influence yield and its components. Our results demonstrate that under one-time basal potassium application (K1), moderate panicle nitrogen (N2) significantly increased the number of productive panicles and total spikelets by coordinating nutrient allocation between tillering and panicle initiation stages. This effect is attributed to optimized dry matter accumulation from peak tillering to heading under N2, which enhanced photosynthate translocation to panicles (<xref ref-type="bibr" rid="B18">Li et&#xa0;al., 2025</xref>). However, split potassium application (K2) altered nitrogen response mechanisms. Under post-anthesis potassium postponement, high panicle nitrogen application (N3) synergistically enhanced yield through three integrated physiological mechanisms: (i) delayed potassium application precisely matched the peak potassium demand during panicle differentiation, activating nitrate reductase and pyruvate kinase activity to promote photoassimilate translocation to panicles, resulting in a 25.54% increase in post-heading dry matter remobilization (<xref ref-type="bibr" rid="B24">Shova et&#xa0;al., 2023</xref>); (ii) increased panicle N application delayed root senescence during grain filling and improved N assimilation efficiency, elevating spikelets per panicle by 11.18%; and (iii) split potassium application regulated cell turgor pressure to optimize vascular bundle development, effectively mitigating canopy overcrowding induced by high nitrogen inputs (<xref ref-type="bibr" rid="B12">Islam and Muttaleb, 2016</xref>). Insufficient spikelet number constitutes a primary yield-limiting factor in machine-transplanted rice. Potassium supplementation effectively optimizes nutrient supply and physiological conditions during this critical phase, promoting spikelet differentiation while reducing degeneration, thereby significantly increasing grains per panicle (<xref ref-type="bibr" rid="B40">Zhang et&#xa0;al., 2010</xref>). Concurrently, enhanced panicle nitrogen synergized with delayed potassium application to boost dry matter accumulation and translocation efficiency during grain filling, ultimately enlarging sink capacity and strengthening source flow for substantial yield improvement.</p>
<p>Regarding yield components under different N&#x2013;K management strategies, the K2N3 regime exhibited superior performance in productive panicles, spikelets per panicle, and total spikelets. This superiority likely stemmed from improved root uptake of water and nutrients by panicle-stage N&#x2013;K application, which enhanced tillering capacity and plant vigor. Furthermore, nitrogen application prolonged the active grain-filling phase (<xref ref-type="bibr" rid="B14">Jiang et&#xa0;al., 2022</xref>), while potassium regulated filling rate to synergistically increase grain weight (<xref ref-type="bibr" rid="B19">Liu et&#xa0;al., 2024</xref>), explaining the yield advantage of K2N3 observed herein. Nevertheless, this combination reduced the seed-setting rate, potentially due to excessive vegetative growth from increased nitrogen proportion at the booting stage, which disrupted nutrient allocation during anthesis and impaired pollination. This observation corroborates the conclusion that N&#x2013;K imbalance may restrict grain-filling completion through sink&#x2013;source limitations (<xref ref-type="bibr" rid="B3">Chen et&#xa0;al., 2024</xref>). Simultaneously, our analysis demonstrates that optimized N&#x2013;K stoichiometry significantly enhances economic returns through yield improvement, particularly in the K2N3 treatment, which could effectively increase farmers&#x2019; income in local agricultural systems.</p>
</sec>
<sec id="s4_2">
<label>4.2</label>
<title>Effects of N&#x2013;K ratios on nutrient uptake and translocation in mechanical transplanting rice</title>
<p>Nitrogen uptake and translocation efficiency constitute the core physiological basis for rice yield formation. Studies indicate that potassium activates nitrate reductase activity, enhancing nitrogen assimilation and partitioning to panicles (<xref ref-type="bibr" rid="B7">Gao et&#xa0;al., 2019</xref>) while reducing nitrogen retention in stems and sheaths. Topdressing 50&#xa0;kg ha<sup>-1</sup> K at the jointing stage significantly increased plant nitrogen accumulation at flowering, grain nitrogen accumulation at maturity, and the nitrogen translocation contribution rate (<xref ref-type="bibr" rid="B9">Guo et&#xa0;al., 2016</xref>). The split application of potassium fertilizer further enhanced nitrogen translocation efficiency by 38.09% through activation of H<sup>+</sup>-ATPase pumps that drive nitrate transporters. The underlying physiological mechanism involves potassium serving as an activator of nitrate reductase, thereby promoting the allocation of nitrogen assimilation products to panicles while reducing nitrogen retention in stems and leaf sheaths (<xref ref-type="bibr" rid="B28">Vijayakumar et&#xa0;al., 2022</xref>). When 50&#xa0;kg ha<sup>-</sup>&#xb9; of potassium was top-dressed at the jointing stage, the treatment significantly increased plant nitrogen accumulation at flowering, grain nitrogen accumulation at maturity, and nitrogen use efficiency (<xref ref-type="bibr" rid="B30">Wang et&#xa0;al., 2025</xref>). Concurrently, machine-transplanted rice exhibits significantly elevated nitrogen uptake from heading to maturity. Appropriately increasing the proportion of panicle nitrogen promotes root vitality, facilitating more efficient soil nitrogen absorption and accumulation (<xref ref-type="bibr" rid="B11">Hu et&#xa0;al., 2018</xref>; <xref ref-type="bibr" rid="B41">Zheng et&#xa0;al., 2023</xref>). Panicle nitrogen application precisely matches the critical period from panicle initiation to grain filling, enhancing shoot nitrogen accumulation and translocation capacity from stems and sheaths to leaves, while increasing nitrogen recovery efficiency by 7.27%&#x2013;26.06% (<xref ref-type="bibr" rid="B39">Zhang et&#xa0;al., 2022</xref>). Thus, split potassium application potentiates nitrogen metabolism, fully unlocking the yield potential of panicle nitrogen to synergistically achieve efficient nitrogen supply for grain sink filling.</p>
<p>The panicle initiation to heading phase represents the peak potassium uptake window, where potassium supply efficacy directly governs subsequent K translocation to grains (<xref ref-type="bibr" rid="B35">Yu et&#xa0;al., 2012</xref>). Under the K2N3 regime, potassium accumulation in mature plants increased by 18%&#x2013;25%. The molecular mechanism involves panicle nitrogen application activating the expression of potassium channel proteins and transporters, which enhances root potassium uptake capacity while optimizing vascular bundle potassium translocation efficiency (<xref ref-type="bibr" rid="B29">Vijayakumar et&#xa0;al., 2024</xref>). This finding is corroborated by studies in Iranian rice systems, which demonstrated that in water-scarce regions, application of 120&#xa0;kg ha<sup>-1</sup> nitrogen combined with 80&#xa0;kg ha<sup>-1</sup> potassium comprehensively improved rice osmoregulation capacity, protected photosynthetic organs, and ultimately enhanced drought resistance while maintaining grain yield (<xref ref-type="bibr" rid="B23">Rabiei et&#xa0;al., 2021</xref>). However, excessive potassium application can induce potassium retention in vegetative tissues, inhibiting redistribution to grains. Optimal K application rates have been reported at 108&#x2013;120 kg ha<sup>-1</sup> (<xref ref-type="bibr" rid="B10">Hou et&#xa0;al., 2018</xref>). Notably, panicle nitrogen systematically enhances fertilizer use efficiency and significantly reduces agricultural greenhouse gas emissions (<xref ref-type="bibr" rid="B22">Poudel et&#xa0;al., 2025</xref>) by activating root uptake capacity, strengthening vascular bundle transport efficiency, and optimizing inter-organ allocation strategies. Therefore, by synchronizing nutrient supply with uptake peaks and improving redistribution, K2 synergistically interacts with N3 to systematically enhance productivity, thereby establishing the physiological foundation for efficient potassium accumulation in grains and yield improvement.</p>
</sec>
<sec id="s4_3">
<label>4.3</label>
<title>Effects of N&#x2013;K ratios on lodging resistance in mechanical transplanting rice</title>
<p>Machine-transplanted rice exhibits significantly weaker lodging resistance than manually transplanted rice due to inferior stem solidity and root anchorage, necessitating precise N&#x2013;K co-regulation to synergistically enhance morphological and mechanical traits (<xref ref-type="bibr" rid="B26">Sun et&#xa0;al., 2017</xref>). This study is the first to elucidate the mechanism at the level of cell wall construction: under split potassium application (K2), the wall thickness and bending resistance of the S2 internode significantly increased. This improvement is attributed to potassium ions activating the phenylpropanoid pathway, which promotes lignin monomer synthesis and cell wall cross-linking (<xref ref-type="bibr" rid="B6">Ding et&#xa0;al., 2021</xref>). Under the K2N3 treatment, the wall thickness and stem diameter of both S2 and S4 internodes increased while shorter basal internodes, directly improving stem bending resistance. At the mechanical level, this combination significantly enhanced bending moment resistance by increasing cellulose deposition and vascular bundle development, thereby minimizing the lodging index. This finding is consistent with <xref ref-type="bibr" rid="B37">Zhang et&#xa0;al. (2021)</xref>, who reported that &#x201c;increased potassium application significantly reduces the lodging index by increasing lignin content or cell wall thickness in rice stems.&#x201d; Moreover, split nitrogen application optimized the enrichment of photosynthetic products and nitrogen in the basal stems, supporting early-stage population establishment while avoiding stem weakness caused by late-stage nitrogen excess, thereby preventing yield losses due to lodging stress (<xref ref-type="bibr" rid="B20">Lu et&#xa0;al., 2025</xref>). However, excessive basal nitrogen application (e.g., K1N1) induced gibberellin synthesis, which promoted internode elongation and diluted cell wall material concentration, ultimately reducing mechanical strength.</p>
<p>As essential macronutrients for plants, adequate nitrogen and potassium directly promote the accumulation of photosynthetic products and assimilate translocation, laying the material foundation for high yields. However, under high-yield conditions, grain output efficiency per unit nutrient decreases, which may stem from the &#x201c;yield&#x2013;efficiency trade-off&#x201d; effect, whereby nutrient use efficiency tends to decline as yields approach higher levels. Regarding stem lodging resistance characteristics, the lodging indices of S2 and S3 internodes showed a significant positive correlation (<xref ref-type="fig" rid="f2">
<bold>Figure&#xa0;2</bold>
</xref>), possibly because vascular bundle development in basal internodes is continuous. When the cell wall thickness of the S2 internode decreases, the resulting reduction in bending resistance increases the mechanical load on upper internodes (<xref ref-type="bibr" rid="B36">Yuan et&#xa0;al., 2025</xref>). Notably, the dry matter productivity of nitrogen and potassium showed a significant positive correlation with the lodging index of the S4 internode. This result is the first to reveal the intrinsic relationship between nutrient use efficiency and stem mechanical properties. We speculate that the mechanism may involve plants preferentially allocating more resources to grains rather than to the synthesis of stem structural components (e.g., cellulose and lignin) when nitrogen and potassium use efficiency is excessively high, thereby reducing stem mechanical strength. These findings provide new evidence supporting the &#x201c;yield&#x2013;lodging resistance synergy&#x201d; theory (<xref ref-type="bibr" rid="B38">Zhang et&#xa0;al., 2025</xref>).</p>
<fig id="f2" position="float">
<label>Figure&#xa0;2</label>
<caption>
<p>Correlation analysis FHS - Full heading stage, MS - Maturity stages; S2 - penultimate internode from top to bottom of morphology; S3 - antepenultimate internode; S4 &#x2013; last four internode; Different small letters after the data in the same column indicate significant differences between treatments under the same potash treatment and the same year, and the capital letters after the average data indicate significant differences between K1 and K2 (P&lt;0.05) * and ** indicate significant effects at the 0.05 and 0.01 probability levels, respectively, and ns indicates no significant effect.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fpls-16-1658245-g002.tif">
<alt-text content-type="machine-generated">A correlation matrix with various variables including Yield, TDMA, NA, DMNP, RGNP, and others. It uses red and blue ellipses to indicate positive and negative correlations, respectively. Significant correlations are marked with asterisks, representing p-values less than 0.05 and 0.01. A color scale on the right ranges from negative one (blue) to one (red).</alt-text>
</graphic>
</fig>
<p>Although this study systematically analyzed the regulatory mechanisms of nitrogen&#x2013;potassium coordination on yield formation and stress resistance in machine-transplanted rice, some limitations remain. First, the conclusions are based on short-term observations of specific indica rice varieties, and their applicability to japonica ecotypes and long-term cultivation requires further validation. Second, although the improvement in stem lodging resistance is associated with potassium management, key evidence on cell wall component reconstruction (e.g., spatial deposition patterns of lignin) remains insufficient. Third, the environmental risks under high panicle fertilizer application were not assessed. Future research should combine long-term, multi-ecological field trials to deepen the synergistic analysis of post-anthesis nutrient translocation barriers and stem microstructure development, and establish an environmental footprint accounting system to improve the sustainable application of nitrogen&#x2013;potassium management in machine-transplanted rice.</p>
</sec>
</sec>
<sec id="s5" sec-type="conclusions">
<label>5</label>
<title>Conclusions</title>
<p>Compared with one-time basal potassium application (K1), split potassium application (K2) increased rice yield by optimizing panicle traits, enhancing post-heading dry matter translocation efficiency, and strengthening lodging resistance. When K2 was combined with high panicle nitrogen (N3), the strategy demonstrated amplified effects: it significantly promoted post-heading dry matter accumulation and translocation, improved targeted nitrogen&#x2013;potassium partitioning to panicles, and elevated grain yield by 4.77%&#x2013;12.17% compared with conventional nitrogen regimes. Concurrently, this combination reduced lodging risk through increased internode diameter and wall thickness. Collectively, the cultural strategy that integrates delayed potassium with high panicle nitrogen provides an effective agronomic solution for lodging-resistant yield enhancement in machine-transplanted rice by coordinating post-flowering assimilate allocation, strengthening panicle nutrient accumulation, and reinforcing stem mechanical strength.</p>
</sec>
</body>
<back>
<sec id="s6" sec-type="data-availability">
<title>Data availability statement</title>
<p>The raw data supporting the conclusions of this article will be made available by the authors, without undue reservation.</p>
</sec>
<sec id="s7" sec-type="author-contributions">
<title>Author contributions</title>
<p>ZL: Data curation, Writing &#x2013; original draft. MH:&#xa0;Conceptualization, Writing &#x2013; original draft. TL: Investigation, Writing &#x2013; original draft. YT:&#xa0;Writing &#x2013; original draft, Investigation. RL: Investigation, Writing &#x2013; original draft. ZBP: Investigation, Writing &#x2013; original draft. CW:&#xa0;Investigation, Writing &#x2013; original draft. ZLP: Writing &#x2013; original draft, Investigation. ZW: Writing &#x2013; review &amp; editing, Conceptualization. ZC: Writing &#x2013; review &amp; editing, Investigation. ZY: Investigation, Writing&#xa0;&#x2013; review &amp; editing. YS: Investigation, Writing &#x2013; review &amp; editing. JM: Conceptualization, Writing &#x2013; review &amp; editing, Funding acquisition.</p>
</sec>
<sec id="s8" sec-type="funding-information">
<title>Funding</title>
<p>The author(s) declare financial support was received for the research and/or publication of this article. This work was supported by the National Key Research and Development Program Project (Grant No. 2017YFD0301700).</p>
</sec>
<ack>
<title>Acknowledgments</title>
<p>We would like to thank our teacher for carefully reading and correcting our manuscript and providing technical assistance and financial support for the study, as well as our scientific research team for their contribution to this paper.</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="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>
<p>Any alternative text (alt text) provided alongside figures in this article has been generated by Frontiers with the support of artificial intelligence and reasonable efforts have been made to ensure accuracy, including review by the authors wherever possible. If you identify any issues, please contact us.</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&#xa0;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>
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