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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Plant Sci.</journal-id>
<journal-title>Frontiers in Plant Science</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Plant Sci.</abbrev-journal-title>
<issn pub-type="epub">1664-462X</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.3389/fpls.2023.1228755</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>Phosphorus and naphthalene acetic acid increased the seed yield by regulating carbon and nitrogen assimilation of flax</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Xie</surname>
<given-names>Yaping</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="author-notes" rid="fn003">
<sup>&#x2020;</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2054408"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Duan</surname>
<given-names>Huirong</given-names>
</name>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
<xref ref-type="author-notes" rid="fn003">
<sup>&#x2020;</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/568838"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Wang</surname>
<given-names>Limin</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Zhang</surname>
<given-names>Jianping</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="author-notes" rid="fn001">
<sup>*</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Dong</surname>
<given-names>Kongjun</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Wang</surname>
<given-names>Xingrong</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Zhang</surname>
<given-names>Yanjun</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Zhou</surname>
<given-names>Yangchen</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Li</surname>
<given-names>Wenjuan</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1929198"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Qi</surname>
<given-names>Yanni</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Zhao</surname>
<given-names>Wei</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Dang</surname>
<given-names>Zhao</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Wang</surname>
<given-names>Xingzhen</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Li</surname>
<given-names>Wen</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Zhao</surname>
<given-names>Lirong</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
</contrib-group>
<aff id="aff1">
<sup>1</sup>
<institution>Crop Research Institute, Gansu Academy of Agricultural Sciences</institution>, <addr-line>Lanzhou</addr-line>, <country>China</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>College of Agronomy, Gansu Agricultural University</institution>, <addr-line>Lanzhou</addr-line>, <country>China</country>
</aff>
<aff id="aff3">
<sup>3</sup>
<institution>Lanzhou Institute of Husbandry and Pharmaceutical Science, Chinese Academy of Agricultural Sciences</institution>, <addr-line>Lanzhou</addr-line>, <country>China</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>Edited by: Nqobile Masondo, Agricultural Research Council of South Africa (ARC-SA), South Africa</p>
</fn>
<fn fn-type="edited-by">
<p>Reviewed by: Hongmei Cai, Huazhong Agricultural University, China; Xiangwei Gong, Shenyang Agricultural University, China</p>
</fn>
<fn fn-type="corresp" id="fn001">
<p>*Correspondence: Jianping Zhang, <email xlink:href="mailto:zhangjp72@126.com">zhangjp72@126.com</email>
</p>
</fn>
<fn fn-type="equal" id="fn003">
<p>&#x2020;These authors have contributed equally to this work</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>30</day>
<month>08</month>
<year>2023</year>
</pub-date>
<pub-date pub-type="collection">
<year>2023</year>
</pub-date>
<volume>14</volume>
<elocation-id>1228755</elocation-id>
<history>
<date date-type="received">
<day>25</day>
<month>05</month>
<year>2023</year>
</date>
<date date-type="accepted">
<day>31</day>
<month>07</month>
<year>2023</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2023 Xie, Duan, Wang, Zhang, Dong, Wang, Zhang, Zhou, Li, Qi, Zhao, Dang, Wang, Li and Zhao</copyright-statement>
<copyright-year>2023</copyright-year>
<copyright-holder>Xie, Duan, Wang, Zhang, Dong, Wang, Zhang, Zhou, Li, Qi, Zhao, Dang, Wang, Li and Zhao</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/">
<p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</p>
</license>
</permissions>
<abstract>
<p>To evaluate the impact of phosphorus (P) combined with exogenous NAA on flax yield, enhance flax P utilization efficiency and productivity, minimize resource inputs and mitigate negative environmental and human effects. Therefore, it is crucial to comprehend the physiological and biochemical responses of flax to P and naphthylacetic acid (NAA) in order to guide future agronomic management strategies for increasing seed yield. A randomized complete block design trial was conducted under semi-arid conditions in Northwest China, using a factorial split-plot to investigate the effects of three P (0, 67.5, and 135.0&#xa0;kg P<sub>2</sub>O<sub>5</sub> ha<sup>&#x2013;1</sup>) and three exogenous spray NAA levels (0, 20, and 40 mg NAA L<sup>&#x2013;1</sup>) on sucrose phosphate synthase (SPS) and diphosphoribulose carboxylase (Rubisco) activities as well as nitrogen (N) and P accumulation and translocation in flax. Results indicated that the SPS and Rubisco activities, N and P accumulation at flowering and maturity along with assimilation and translocation post-flowering, fruiting branches per plant, tillers per plant, capsules per plant, and seed yield were 95, 105, 14, 27, 55, 15, 13, 110, 103, 82, 16, 61, 8, and 13% greater in the P treatments compared to those in the zero P treatment, respectively. Moreover, those characteristics were observed to be greater with exogenous spray NAA treatments compared to that no spray NAA treatment. Additionally, the maximum SPS and Rubisco activities, N and P accumulation, assimilation post-flowering and translocation, capsules per plant, and seed yield were achieved with the application of 67.5&#xa0;kg P<sub>2</sub>O<sub>5</sub> ha<sup>&#x2013;1</sup> with 20 mg NAA L<sup>&#x2013;1</sup>. Therefore, these findings demonstrate that the appropriate combination of P fertilizer and spray NAA is an effective agronomic management strategy for regulating carbon and nitrogen assimilation by maintaining photosynthetic efficiency in plants to increase flax productivity.</p>
</abstract>
<kwd-group>
<kwd>flax</kwd>
<kwd>phosphorus</kwd>
<kwd>naphthylacetic acid</kwd>
<kwd>carbon and nitrogen assimilation</kwd>
<kwd>seed yield</kwd>
</kwd-group>
<counts>
<fig-count count="5"/>
<table-count count="5"/>
<equation-count count="6"/>
<ref-count count="70"/>
<page-count count="15"/>
<word-count count="8114"/>
</counts>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-in-acceptance</meta-name>
<meta-value>Plant Physiology</meta-value>
</custom-meta>
</custom-meta-wrap>
</article-meta>
</front>
<body>
<sec id="s1" sec-type="intro">
<title>Introduction</title>
<p>Flax (<italic>Linum usitatissimum</italic> L.), a C<sub>3</sub> plant species, exhibits versatility as a valuable source for food, industry, and bioenergy (<xref ref-type="bibr" rid="B70">Zuk et&#xa0;al., 2015</xref>; <xref ref-type="bibr" rid="B42">Parikh et&#xa0;al., 2019</xref>; <xref ref-type="bibr" rid="B63">Xie et&#xa0;al., 2020</xref>). With the global human population projected to continue growing in the coming decades, current rates of crop productivity may not be sufficient to meet future demand for food (<xref ref-type="bibr" rid="B30">Long et&#xa0;al., 2015</xref>). Additionally, accelerating global warming poses a threat to crop production. Hence, improving crop productivity under future climatic conditions is a huge challenge (<xref ref-type="bibr" rid="B52">Suganami et&#xa0;al., 2021</xref>). One promising strategy for achieving this goal is to enhance carbon (C) and nitrogen (N) assimilation (<xref ref-type="bibr" rid="B47">Ren et&#xa0;al., 2020</xref>) and photosynthetic efficiency (<xref ref-type="bibr" rid="B34">Makino, 2011</xref>; <xref ref-type="bibr" rid="B41">Ort et&#xa0;al., 2015</xref>).</p>    <p>Phosphorus (P), as the second macronutrient for plants, plays a crucial role in various metabolic activities (<xref ref-type="bibr" rid="B50">Singh et&#xa0;al., 2018</xref>; <xref ref-type="bibr" rid="B65">Yaakob et&#xa0;al., 2021</xref>). Numerous studies have focused on the effect of P on photosynthesis (<xref ref-type="bibr" rid="B50">Singh et&#xa0;al., 2018</xref>; <xref ref-type="bibr" rid="B54">Taliman et&#xa0;al., 2019</xref>; <xref ref-type="bibr" rid="B25">Li et&#xa0;al., 2022</xref>; <xref ref-type="bibr" rid="B7">Chai et&#xa0;al., 2023</xref>; <xref ref-type="bibr" rid="B21">Kayoumu et&#xa0;al., 2023</xref>). Photosynthesis is primarily driven by sucrose, which serves as the main photoassimilate transported from source to sink tissues and storage in higher plants (<xref ref-type="bibr" rid="B40">Okamura et&#xa0;al., 2011</xref>; <xref ref-type="bibr" rid="B9">Chen et&#xa0;al., 2012</xref>). Previous literature has documented that sucrose phosphate synthase (SPS), a pivotal rate-limiting enzyme during the sucrose biosynthesis process in plants (<xref ref-type="bibr" rid="B26">Liao et&#xa0;al., 2022</xref>), displays differential expression patterns (<xref ref-type="bibr" rid="B57">Wang et&#xa0;al., 2018</xref>). Moreover, ribulose-1,5-bisphosphate carboxylase/oxygenase (Rubisco) is considered a crucial targets for enhancing photosynthetic capacity (<xref ref-type="bibr" rid="B43">Parry et&#xa0;al., 2013</xref>; <xref ref-type="bibr" rid="B5">Carmo-Silva et&#xa0;al., 2015</xref>; <xref ref-type="bibr" rid="B49">Sharwood, 2017</xref>) and determining the rates of CO<sub>2</sub> assimilation in C<sub>3</sub> leaves commonly (<xref ref-type="bibr" rid="B22">Lawlor, 2002</xref>). Nitrogen is below required to sustain the protein synthesis, which is inadequate for maximum CO<sub>2</sub> assimilation (<xref ref-type="bibr" rid="B23">Lawlor et&#xa0;al., 1989</xref>). Recently, the expression of <italic>SPS</italic> gene families has been studied in various plant species, including rice (<italic>Oryza sativ</italic>a L) (<xref ref-type="bibr" rid="B40">Okamura et&#xa0;al., 2011</xref>; <xref ref-type="bibr" rid="B38">Mulyatama et&#xa0;al., 2022</xref>), litchi (<italic>Litchi chinensis</italic> Sonn) (<xref ref-type="bibr" rid="B57">Wang et&#xa0;al., 2018</xref>), cassava (<italic>Manihot esculenta Crantz</italic>) (<xref ref-type="bibr" rid="B18">Huang et&#xa0;al., 2020</xref>), and kiwi fruit (<italic>Actinidia chinensis Planch</italic>) (<xref ref-type="bibr" rid="B26">Liao et&#xa0;al., 2022</xref>). Studies on <italic>Rubisco</italic> genes have also been performed in rice by <xref ref-type="bibr" rid="B53">Suzuki et&#xa0;al. (2017)</xref>. However, the relative expression levels of the SPS gene family and Rubisco gene in flax have not been reported. Furthermore, research has shown that P plays a significant role in regulating N uptake (<xref ref-type="bibr" rid="B16">G&#xfc;sewell, 2004</xref>), N and P accumulation (<xref ref-type="bibr" rid="B11">Dordas, 2009</xref>) and translocation (<xref ref-type="bibr" rid="B16">G&#xfc;sewell, 2004</xref>; <xref ref-type="bibr" rid="B11">Dordas, 2009</xref>). Additionally, numerous studies have demonstrated that an appropriate quantity P can significantly enhance the seed yield of oilseed crops such as flax (<xref ref-type="bibr" rid="B63">Xie et&#xa0;al., 2020</xref>; <xref ref-type="bibr" rid="B59">Xie et&#xa0;al., 2022</xref>), soybean (<italic>Glycine max</italic>) (<xref ref-type="bibr" rid="B66">Yin et&#xa0;al., 2016</xref>; <xref ref-type="bibr" rid="B54">Taliman et&#xa0;al., 2019</xref>), canola (<italic>Brassica napus</italic> L.) (<xref ref-type="bibr" rid="B13">Gao and Ma, 2015</xref>), crambe (<italic>Crambe abssynica</italic> Hoechst) (<xref ref-type="bibr" rid="B48">Rog&#xe9;rio et&#xa0;al., 2013</xref>), and sunflower (<italic>Helianthus annuus</italic> L.) (<xref ref-type="bibr" rid="B1">Abbadi and Gerend&#xe1;s, 2011</xref>). Nevertheless, excessive application of P in agriculture not only leads to poor yield and increases production cost, but also causes severe environmental problems. Therefore, optimizing the management of P fertilization is important for maximizing flax productivity with minimal energy inputs and negative environment effects in flax production.</p>
<p>Auxin is a crucial plant growth promoter (<xref ref-type="bibr" rid="B14">Giannakoula et&#xa0;al., 2012</xref>) that plays a vital role in various respects, including flowering, fruiting, and seed formation (<xref ref-type="bibr" rid="B14">Giannakoula et&#xa0;al., 2012</xref>). The use of auxin has opened up new possibilities for increasing seed production in legume cultivation (<xref ref-type="bibr" rid="B69">Zhang et&#xa0;al., 2009</xref>). According to <xref ref-type="bibr" rid="B31">Lorenzetti (1993)</xref>, the use of synthetic growth regulators can achieve seed yields in grasses similar to those obtained through genetic manipulation in wheat (<italic>Triticum aestivum</italic> L.), rice (<italic>Oryza sativa</italic> L.), and barley (<italic>Hordeum vulgare</italic> L.) by breeders. Study on the effect of growth hormones on foliage has largely focused on applications near the flowering stage due to the auxin&#x2019;s crucial role in seed development (<xref ref-type="bibr" rid="B35">Mousavi et&#xa0;al., 2022</xref>). In oil crops, there have been reports demonstrated the positive effect of auxin on seed yield and yield components of flax (<xref ref-type="bibr" rid="B46">Rastogi et&#xa0;al., 2013</xref>) and safflower (<italic>Carthamus tinctorius</italic> L.) (<xref ref-type="bibr" rid="B35">Mousavi et&#xa0;al., 2022</xref>). In addition, previous research (<xref ref-type="bibr" rid="B14">Giannakoula et&#xa0;al., 2012</xref>) has also suggested that the application of indole-3-acetic acid (IAA) can improve the seed yield of lentil (<italic>Lens culinaris</italic>). Only a limited number of research papers have been published on the impact of plant growth promoters on the mineral nutrition of specific crops. In a study of wheat, <xref ref-type="bibr" rid="B45">Prasad et&#xa0;al. (1991)</xref> reported that the application of small amount of plant growth promoter can aid in nutrient absorption, resulting in increased yields. Evidence has demonstrated that NAA positively regulates P translocation within plants and accumulation in wheat grains (<xref ref-type="bibr" rid="B44">Peng et&#xa0;al., 2007</xref>). Very little is known about the effect of P and NAA on N and P accumulation and translocation within plants. In agriculture, farmers occasionally apply NAA together with P fertilizers to increase crop yields. Hence, more information is needed on how P and exogenous spray NAA can affect SPS and Rubisco activities and how it can affect N and P assimilation and translocation within flax plants.</p>
<p>The objective of our study was to investigate the effect of P and auxin on the relative expression level of <italic>LuSPSs</italic> gene family and R<italic>ubisco</italic> gene using real-time quantitative PCR (RT-qPCR) techniques, as well as SPS and Rubisco activities in flax leaves. Additionally, we examined N and P accumulation at flowering and maturity, post-flowering N and P assimilation, N and P translocation, N harvest index (NHI) and P harvest index (PHI), and seed yield in flax. Based on the results presented here, we aimed to investigate the effects of different levels of P and NAA on flax productivity, with a view to improving flax&#x2019;s use of P and yield with fewer inputs of fertilizer while reducing concerns for environmental, ecological, and human health.</p>
</sec>
<sec id="s2" sec-type="materials|methods">
<title>Materials and methods</title>
<sec id="s2_1">
<title>Site description, experimental design and treatments</title>
<p>The experiment was conducted at Oil Research Institute, Dingxi Academy of Agricultural Science, Gansu Province, China (35&#xb0;48&#x2032; N, 104&#xb0;49&#x2032; E, altitude of 2050&#xa0;m) in both 2019 and 2020. The experimental site has a continental climate. The soil type is Arenosols (<xref ref-type="bibr" rid="B12">FAO, 2015</xref>), with wheat as the previous crop. During the growing season from March to August, monthly temperatures ranged from &#x2212;7 to 32&#xb0;C in Dingxi, with the lowest temperature recorded in March and the highest value in July. The mean monthly temperatures each year were close to the long-term average (30 yr). In summary, the total precipitation during the growing season from March to August was between 309 and 317&#xa0;mm in both 2019 and 2020.</p>
<p>The experiment was designed as a split-plot randomized complete block design with three replicates. The plot size was 5.0m&#xd7;4.0m. Flax cultivar Lunxuan 2 was sown on 2 and 9 April in 2019 and 2020, at a seeding rate of 1050 viable seeds m<sup>&#x2013;2</sup> for targeting 750 plants m<sup>&#x2013;2</sup>. The main plots were assigned three P rates (0, 67.5, and 135.0&#xa0;kg P<sub>2</sub>O<sub>5</sub> ha<sup>&#x2013;1</sup>), while the subplots included three rates of naphthalene acetic acid (NAA) (a synthetic auxin) (0, 20, and 40 mg NAA L<sup>&#x2013;1</sup>), which were prepared with distilled deionized water. After 5 days of flax budding, each plot was sprayed with a low-pressure hand-wand sprayer on the leaves, applying 50 mL m<sup>&#x2013;2</sup>. Nitrogen fertilization was applied at a rate of 120&#xa0;kg N ha<sup>&#x2013;1</sup> as urea, with 70% was applied as basal fertilization and the remaining 30% at the budding stage just before a significant rainfall occurred. Potassium sulfate was applied at 75&#xa0;kg ha<sup>&#x2013;1</sup> for potassium fertilization, while calcium super-phosphate served as the basal fertilizer for P fertilization. No irrigation was provided to the crop. Manual weeding took place between sowing and harvesting. Flax was harvested by hand.</p>
</sec>
<sec id="s2_2">
<title>Preplant soil sampling and analysis</title>
<p>Soils were collected from the upper 30&#xa0;cm prior to sowing of the experiment and analyzed according to the methodology of <xref ref-type="bibr" rid="B3">Bao (2000)</xref>. Specifically, pH was measured using potentiometry, soil organic matter content was determined by potassium dichromate volumetry, alkali-hydrolysable N was quantified using the alkali hydrolysis diffusion method, available potassium was obtained <italic>via</italic> flame photometry, and available P in soil was determined using the colorimetric Molybdenum-Blue method. The soil pH, organic matter, alkali-hydrolyzable N, available K, and available P at the experimental site were of 7.14 and 7.68, 12.8 and 13.4&#xa0;g kg<sup>&#x2013;1</sup>, 52.1 and 58.3 mg kg<sup>&#x2013;1</sup>, 129.3 and112.6 mg kg<sup>&#x2013;1</sup>, and 9.7 and 9.9 mg kg<sup>&#x2013;1</sup> in 2019 and 2020, respectively.</p>
</sec>
<sec id="s2_3">
<title>Sampling and analysis</title>
<p>After 24&#xa0;h of NAA spray on leaves during budding, 30 flax plants were chosen from the two central rows of each plot and separated into leaves and other parts (<xref ref-type="bibr" rid="B39">O'Neill et&#xa0;al., 2010</xref>; <xref ref-type="bibr" rid="B64">Xing et&#xa0;al., 2018</xref>; <xref ref-type="bibr" rid="B4">Cai et&#xa0;al., 2022</xref>). Once detached from the plants, leaf samples were frozen in liquid N at &#x2212;80&#xb0;C to measure the activities and relative expression levels of SPS and Rubisco. At flowering (approximately 7 days after initial flowering) (<xref ref-type="fig" rid="f1">
<bold>Figure&#xa0;1</bold>
</xref>), total aboveground dry matter, stem dry matter, leaf dry matter, and flower dry matter were determined. At maturity, the stem, leaves, non-seed reproductive structures (including peduncle, flower bud, sepal, carpopodium, and pericarp), and seeds were assessed. On the sampling date, a 1-m length of plant rows was randomly selected from the two central rows of each plot, recorded numbers of fruiting branches, tillers (the secondary basal stems of flax are referred to as tillers) and capsules per plant, as well as and seeds per capsule (<xref ref-type="bibr" rid="B17">Hocking and Pinkerton, 1993</xref>). Plant height was measured from the base to the highest bud and then separated into leaves, stems, non-seed reproductive structures, and seeds. The various vegetative organs were individually dried at 105&#xb0;C for 2 hours followed by drying at 80&#xb0;C until constant weight (<xref ref-type="bibr" rid="B61">Xie et&#xa0;al., 2014</xref>).</p>
<fig id="f1" position="float">
<label>Figure&#xa0;1</label>
<caption>
<p>Morphology of plant at flowering <bold>(A)</bold>, leaf <bold>(B)</bold>, and the length of fully prolonged leaf <bold>(C)</bold> and width of fully prolonged leaf <bold>(D)</bold> of flax.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fpls-14-1228755-g001.tif"/>
</fig>
<p>On the day of harvest, each plot&#x2019;s crop was harvested separately using a sickle to determine its seed yield.</p>
</sec>
<sec id="s2_4">
<title>Measurements</title>
<p>The N concentrations in the various organs were measured using micro-Kjeldahl method, as described by <xref ref-type="bibr" rid="B27">Lithourgidis et&#xa0;al. (2007)</xref>. The P concentrations in the different plant organs were determined by the Colorimetric Molybdenum-Blue method (<xref ref-type="bibr" rid="B27">Lithourgidis et&#xa0;al., 2007</xref>). In the present study, the following formulae were computed according to the methods outlined by <xref ref-type="bibr" rid="B11">Dordas (2009)</xref> and <xref ref-type="bibr" rid="B10">de Oliveira Silva et&#xa0;al. (2020)</xref>, as follow:</p>
<disp-formula>
<label>(1)</label>
<mml:math display="block" id="M1">
<mml:mrow>
<mml:mi>N</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>g</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>n</mml:mi>
<mml:mtext>&#xa0;</mml:mtext>
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</disp-formula>
<disp-formula>
<label>(2)</label>
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</mml:mrow>
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</disp-formula>
<disp-formula>
<label>(3)</label>
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</disp-formula>
<disp-formula>
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</mml:math>
</disp-formula>
<p>Additionally, the calculation of N and P assimilation post-flowering was determined using the following formula:</p>
<disp-formula>
<label>(5)</label>
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</mml:mrow>
</mml:math>
</disp-formula>
<disp-formula>
<label>(6)</label>
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<p>Activity of SPS was determined using the methods described by <xref ref-type="bibr" rid="B38">Mulyatama et&#xa0;al. (2022)</xref>. In brief, the extract samples were incubated for 0, 5 and 10&#xa0;min at 25&#xb0;C and the reactions were terminated using 1 M NaOH. After addition of 0.25 mL resorcinol (1%) and 0.75 mL of 30% HCl, the sample was measured using spectrophotometer (U-5100 UV/VIS Hitachi HIgh-Tech Science Corporation Tokyo Japan) at 520 nm. Rubisco activity was measured following the protocol outlined by <xref ref-type="bibr" rid="B56">Wang et&#xa0;al. (2022)</xref>. Leaves were homogenized in 9 mL pre-cooled (4&#xb0;C) phosphate-buffered saline solution (pH 7.4). The resulting supernatant was collected after centrifugation at 5000 rpm for 25&#xa0;min at 4&#xb0;C. Rubisco activity was quantified using an enzyme-linked immunosorbent assay (ELISA) kit from Shanghai Guduo Biotechnology Co., Ltd., Shanghai, China, according to the manufacturer&#x2019;s instructions. The absorbance of the sample was measured at a wavelength of 450 nm using a microplate reader (SpectraMax CMax Plus; Molecular Devices, San Jose, CA, USA).</p>
<p>Total RNA of leaves of flax samples as described above was extracted using the TransZol Up Plus RNA Kit (ER501-01, TransGen Biotech Co., Ltd.). The PrimeScript&#x2122; RT reagent Kit with gDNA Eraser (Perfect Real Time) (RR047A, Takara, Biotech Co., Ltd., Beijing, China) was used to reverse transcribe total RNA into cDNA and remove genomic DNA mixed in the cDNA, according to the manufacturer&#x2019;s protocol. The reverse transcribed cDNAs were used for real-time quantitative PCR (RT-qPCR), which was performed on an Applied Biosystems Quant-Studio&#x2122; 5 platform (Thermo Fisher Scientific, Waltham, MA, USA). Four <italic>LuSPS</italic> genes and 1 <italic>LuRBCL</italic> gene were obtained from the genome database of <italic>L. usitatissimum</italic> (GenBank number: QMEG00000000) (<xref ref-type="bibr" rid="B68">Zhang et&#xa0;al., 2020</xref>). The primers were designed with the Primer premier 5.0 software and synthesized by TsingKe Biological Technology Co., Ltd. (Xi&#x2019;an, China) (<xref ref-type="supplementary-material" rid="SM1">
<bold>Table S1</bold>
</xref>). <italic>LuGADPH</italic> was used for internal control (<xref ref-type="bibr" rid="B19">Huis et&#xa0;al., 2010</xref>; <xref ref-type="bibr" rid="B68">Zhang et&#xa0;al., 2020</xref>). Heiff<sup>&#xae;</sup> qPCR SYBR<sup>&#xae;</sup> Green Master Mix kit (Low Rox Plus) (Yeasen Biotech Co., Ltd.) was used for 20 &#x3bc;L PCR reactions as follow: 95&#xb0;C for 30 s, and 40 cycles of 95&#xb0;C for 5 s and 60&#xb0;C for 34 s. Three independent bio-logical replicates were performed and triplicate technical quantitative assays were per-formed. The relative expression level (REL) of each sample was estimated according to the following equation as described by <xref ref-type="bibr" rid="B29">Livak and Schmittgen (2001)</xref>: REL = 2<sup>&#x2013; &#x394;&#x394;Ct</sup>, where the &#x394;&#x394;Ct value was the &#x394;Ct value of the target gene in each sample minus the &#x394;Ct value of the calibrator. The &#x394;Ct value of the target gene came from the difference between the Ct value of the target gene and the Ct value of <italic>LuGADPH</italic> in each sample. The &#x394;Ct value of the calibrator was the mean value from the difference between the Ct value of the target gene and the Ct value of <italic>LuGADPH</italic> in a sample under control conditions. The Ct value of the target gene and <italic>LuGADPH</italic> in samples was obtained from the Applied Biosystems Quant-Studio&#x2122; 5 platform.</p>
</sec>
<sec id="s2_5">
<title>Data analysis</title>
<p>The data were subjected to analysis of variance (ANOVA) using SPSS (version 19, Inc., Chicago, IL, USA). Means were compared using the Tukey test with a significance level of 0.05. All RT-qPCR data were presented as means &#xb1; SE (n = 3).</p>
</sec>
</sec>
<sec id="s3" sec-type="results">
<title>Results</title>
<sec id="s3_1">
<title>Phosphorus and NAA on the RT-q PCR of <italic>LuSPS</italic> and <italic>LuRubisco</italic>
</title>
<p>We examined the expression of <italic>LuSPS1, LuSPS2, LuSPS3, LuSPS4</italic>, and <italic>LuRubisco</italic> in flax leaves under various P and NAA treatments (<xref ref-type="fig" rid="f2">
<bold>Figures&#xa0;2</bold>
</xref>, <xref ref-type="fig" rid="f3">
<bold>3</bold>
</xref>). The expression level of <italic>LuSPS1</italic> was significantly induced by P, NAA, and their interaction (<xref ref-type="table" rid="T1">
<bold>Table&#xa0;1</bold>
</xref>). Specifically, P treatments increased the expression of <italic>LuSPS1</italic> by an average of 154% (in 2019) and 138% (in 2020), compared to no application of P. Meanwhile, NAA treatments led to a significant increase in the expression level of <italic>LuSPS1</italic> by an average of 111% across both years, as compared with no NAA treatments. The highest level of <italic>LuSPS1</italic> expression was achieved when application of 67.5&#xa0;kg P<sub>2</sub>O<sub>5</sub> ha<sup>&#x2013;1</sup> and 20 mg NAA L<sup>&#x2013;1</sup> in both years (<xref ref-type="fig" rid="f2">
<bold>Figures&#xa0;2A, B</bold>
</xref>), approximately 634% higher than that observed under control conditions (0&#xa0;kg P<sub>2</sub>O<sub>5</sub> ha<sup>&#x2013;1</sup> with 0 mg NAA L<sup>&#x2013;1</sup>).</p>
<fig id="f2" position="float">
<label>Figure&#xa0;2</label>
<caption>
<p>Effect of phosphorus and naphthalene acetic acid levels on the relative expression levels of <italic>LuSPS1</italic> <bold>(A)</bold> (2019) and <bold>(B)</bold> (2020) as well as <italic>LuSPS2</italic> <bold>(C)</bold> (2019) and <bold>(D)</bold> (2020). P stands for phosphorus; NAA refers to naphthalene acetic acid. P<sub>0</sub>, P<sub>1</sub>, and P<sub>2</sub> represent 0, 67.5, and 135.0&#xa0;kg P<sub>2</sub>O<sub>5</sub> ha<sup>&#x2212;1</sup>, respectively. NAA<sub>0</sub>, NAA<sub>20</sub>, and NAA<sub>40</sub> represent 0, 20, and 40 mg NAA L<sup>&#x2212;1</sup>, respectively. Different letters indicate means that are markedly different at <italic>p</italic>&lt;0.05 based on the Tukey test.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fpls-14-1228755-g002.tif"/>
</fig>
<fig id="f3" position="float">
<label>Figure&#xa0;3</label>
<caption>
<p>Effect of phosphorus and naphthalene acetic acid levels on the relative expression levels of <italic>LuSPS3</italic> <bold>(A)</bold> (2019) and <bold>(B)</bold> (2020), <italic>LuSPS4</italic> <bold>(C)</bold> (2019) and <bold>(D)</bold> (2020) as well as <italic>LuRubisco</italic> <bold>(E)</bold> (2019) and <bold>(F)</bold> (2020). NAA refers to naphthalene acetic acid. P<sub>0</sub>, P<sub>1</sub>, and P<sub>2</sub> represent 0, 67.5, and 135.0&#xa0;kg P<sub>2</sub>O<sub>5</sub> ha<sup>&#x2212;1</sup>, separately. NAA<sub>0</sub>, NAA<sub>20</sub>, and NAA<sub>40</sub> represent 0, 20, and 40 mg NAA L<sup>&#x2212;1</sup>, respectively. Different letters indicate significant differences at <italic>p</italic>&lt;0.05 according to the Tukey test.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fpls-14-1228755-g003.tif"/>
</fig>
<table-wrap id="T1" position="float">
<label>Table&#xa0;1</label>
<caption>
<p>Analysis of variance of various parameters that were measured in this study according to year, phosphorus and naphthalene acetic acid.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="top" align="left">Parameters</th>
<th valign="middle" align="center">Year (Y)</th>
<th valign="middle" align="center">P</th>
<th valign="middle" align="center">NAA</th>
<th valign="middle" align="center">Y&#xd7;P</th>
<th valign="middle" align="center">Y&#xd7;NAA</th>
<th valign="middle" align="center">P&#xd7;NAA</th>
<th valign="middle" align="center">Y&#xd7;P&#xd7;NAA</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">Relative expression level of <italic>LuSPS1</italic>
</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>
<td valign="middle" align="center">ns</td>
</tr>
<tr>
<td valign="top" align="left">Relative expression level of <italic>LuSPS2</italic>
</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>
<td valign="middle" align="center">ns</td>
</tr>
<tr>
<td valign="top" align="left">Relative expression level of <italic>LuSPS3</italic>
</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="top" align="left">Relative expression level of <italic>LuSPS4</italic>
</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">ns</td>
</tr>
<tr>
<td valign="top" align="left">Relative expression level of <italic>LuRubisco</italic>
</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">*</td>
<td valign="middle" align="center">ns</td>
</tr>
<tr>
<td valign="top" align="left">Sucrose phosphate synthase (SPS) activity</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">**</td>
<td valign="middle" align="center">ns</td>
</tr>
<tr>
<td valign="top" align="left">Ribulose-1,5-bisphosphate carboxylase/oxygenase (Rubisco) activity</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">**</td>
<td valign="middle" align="center">ns</td>
</tr>
<tr>
<td valign="top" align="left">Nitrogen accumulation at flowering</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">ns</td>
</tr>
<tr>
<td valign="top" align="left">Nitrogen accumulation at maturity</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">*</td>
<td valign="middle" align="center">ns</td>
</tr>
<tr>
<td valign="top" align="left">Nitrogen assimilation post-flowering</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="top" align="left">Nitrogen translocation</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>
<td valign="middle" align="center">ns</td>
</tr>
<tr>
<td valign="top" align="left">Nitrogen harvest index</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>
<td valign="middle" align="center">ns</td>
</tr>
<tr>
<td valign="top" align="left">P accumulation at flowering</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="top" align="left">P accumulation at maturity</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">*</td>
<td valign="middle" align="center">ns</td>
</tr>
<tr>
<td valign="top" align="left">P assimilation post-flowering</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>
<td valign="middle" align="center">ns</td>
</tr>
<tr>
<td valign="top" align="left">P translocation</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>
</tr>
<tr>
<td valign="top" align="left">P harvest index</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>
<td valign="middle" align="center">ns</td>
</tr>
<tr>
<td valign="top" align="left">Plant height</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">ns</td>
<td valign="middle" align="center">ns</td>
<td valign="middle" align="center">*</td>
</tr>
<tr>
<td valign="top" align="left">Number of fruiting branches per plant</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>
<td valign="middle" align="center">*</td>
</tr>
<tr>
<td valign="top" align="left">Number of tillers per plant</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">**</td>
<td valign="middle" align="center">ns</td>
</tr>
<tr>
<td valign="top" align="left">Seed yield</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">**</td>
<td valign="middle" align="center">ns</td>
</tr>
<tr>
<td valign="top" align="left">Number of capsules per plant</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">**</td>
<td valign="middle" align="center">ns</td>
</tr>
<tr>
<td valign="top" align="left">Number seeds of per capsule</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="top" align="left">1000-seed weight</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>P stands for phosphorus. NAA refers to naphthalene acetic acid. * and ** represent significance at the 0.05 and 0.01 level of probability, respectively. ns represent not significant.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>Phosphorus significant influenced the expression of <italic>LuSPS2</italic>, with an increase of 93 and 69% in 2019 and 2020, respectively, compared to no P treatment. The expression of <italic>LuSPS3</italic> was also affected by both P and NAA treatments, resulting in increase of 128 and 129% with P treatments in both years, respectively, compared with no P, while NAA application led to respective increases of 72 and 52% in 2019 and 2020 compared to no spray NAA. The expression of <italic>LuSPS4</italic> significantly decreased with the application of NAA, exhibiting a decrease of 72 and 52% in 2019 and 2020, respectively, compared to no NAA treatment. Furthermore, the interaction between P and NAA as well as the year, P, and NAA interaction had an influenced on <italic>LuSPS4</italic> expression (<xref ref-type="table" rid="T1">
<bold>Table&#xa0;1</bold>
</xref>). The highest level of <italic>LuSPS4</italic> expression was observed at 0&#xa0;kg P<sub>2</sub>O<sub>5</sub> ha<sup>&#x2013;1</sup> with 0 mg NAA L<sup>&#x2013;1</sup> in two years. The lowest value of <italic>LuSPS4</italic> expression level was observed at 135.0 P<sub>2</sub>O<sub>5</sub> ha<sup>&#x2013;1</sup> with 40 mg NAA L<sup>&#x2013;1</sup> in 2019 (0.09) and at 135.0 P<sub>2</sub>O<sub>5</sub> ha<sup>&#x2013;1</sup> with 20 mg NAA L<sup>&#x2013;1</sup> in 2020 (0.22) (<xref ref-type="fig" rid="f3">
<bold>Figures&#xa0;3C, D</bold>
</xref>).</p>
<p>The expression level of <italic>LuRubisco</italic> was influenced by year, P, NAA, and the between P and NAA interaction (<xref ref-type="table" rid="T1">
<bold>Table&#xa0;1</bold>
</xref>). As the P rate increased, there was a corresponding increase in the expression level of <italic>LuRubisco</italic>. Compared to the zero P control, fertilized flax showed an increase of 41 and 73% in <italic>LuRubisco</italic> expression level when averaged over 67.5 and 135.0&#xa0;kg P<sub>2</sub>O<sub>5</sub> ha<sup>&#x2013;1</sup>, respectively. The expression level of <italic>LuRubisco</italic> initially increased but then decreased with increasing NAA rate. The maximal expression values of <italic>LuRubisco</italic> were 2.2 (in 2019) and 3.0 (in 2020) across three P rates, with the highest expression level being 4.8 (in 2019) and 5.4 (in 2020) at a rate of 67.5&#xa0;kg P<sub>2</sub>O<sub>5</sub> ha<sup>&#x2013;1</sup> with 20 mg NAA L<sup>&#x2013;1</sup>(<xref ref-type="fig" rid="f3">
<bold>Figures&#xa0;3E, F</bold>
</xref>). Notably, the expression levels in NAA treatments exceeded those in zero NAA treatments by up to 114% in 2019 and 88% in 2020.</p>
</sec>
<sec id="s3_2">
<title>Phosphorus and NAA on SPS and Rubisco activity</title>
<p>The activity of SPS was affected by year, P, NAA, and the interaction between P and NAA (<xref ref-type="table" rid="T1">
<bold>Table&#xa0;1</bold>
</xref>). Compared to zero P, SPS activity increased by 118 and 71% with P treatments in 2019 and 2020, respectively. Additionally, the application of NAA resulted in an average increase of SPS activity by 65 and 55% in 2019 and 2020, respectively, compared with zero NAA. The maximum value of SPS activity was achieved with the application of 67.5&#xa0;kg P<sub>2</sub>O<sub>5</sub> ha<sup>&#x2013;1</sup> with 20 mg NAA L<sup>&#x2013;1</sup>; however, the lowest level of SPS activity was observed at 0&#xa0;kg P<sub>2</sub>O<sub>5</sub> ha<sup>&#x2013;1</sup> with 0 mg NAA L<sup>&#x2013;1</sup> (<xref ref-type="fig" rid="f4">
<bold>Figures&#xa0;4A, B</bold>
</xref>).</p>
<fig id="f4" position="float">
<label>Figure&#xa0;4</label>
<caption>
<p>Effect of phosphorus and naphthalene acetic acid levels on the SPS <bold>(A)</bold> (2019) and <bold>(B)</bold> (2020) as well as Rubisco <bold>(C)</bold> (2019) and <bold>(D)</bold> (2020) activities. P refers to phosphorus; NAA stands for naphthalene acetic acid. P<sub>0</sub>, P<sub>1</sub>, and P<sub>2</sub> represent 0, 67.5, and 135.0&#xa0;kg P<sub>2</sub>O<sub>5</sub> ha<sup>&#x2212;1</sup>, respectively. NAA<sub>0</sub>, NAA<sub>20</sub>, and NAA<sub>40</sub> represent 0, 20, and 40 mg NAA L<sup>&#x2212;1</sup>, respectively. Different letters indicate significant differences at <italic>p</italic>&lt;0.05 based on the Tukey test.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fpls-14-1228755-g004.tif"/>
</fig>
<p>The activity of Rubisco in flax leaves was affected by P (<xref ref-type="table" rid="T1">
<bold>Table&#xa0;1</bold>
</xref>). Consistent with the trend of <italic>LuRubisco</italic> expression level, Rubisco activity increased as P increased. Compared to zero P, an average increase in Rubisco activity was 108% (in 2019) and 102% (in 2020) in the P treatments. Additionally, NAA application had an impact on Rubisco activity. The trend of Rubisco activity change was consistent with the response of <italic>LuRubisco</italic> expression level to NAA. Compared to zero NAA treatments, there was an average increase in Rubisco activity of 81% in 2019 and 64% in 2020. The peak Rubisco activity was obtained at 67.5&#xa0;kg P<sub>2</sub>O<sub>5</sub> ha<sup>&#x2013;1</sup> combined with 20 mg NAA L<sup>&#x2013;1</sup>; however, the lowest value was observed under conditions of zero P and NAA conditions (<xref ref-type="fig" rid="f4">
<bold>Figures&#xa0;4C, D</bold>
</xref>).</p>
</sec>
<sec id="s3_3">
<title>Phosphorus and NAA on N accumulation and translocation</title>
<p>Nitrogen accumulation in aboveground plant parts at flowering and maturity, as well as post-flowering N assimilation significantly increased by the application of P fertilizers in 2019 and 2020 years. Compared to zero P, the application of P fertilization resulted in an average increase of 12% in 2019 and 16% in 2020 in N accumulation at flowering. Furthermore, N accumulation at maturity showed a significant increase of 24% (in 2019) and 30% (in 2020) in P treatments compared with zero P. Moreover, N assimilation post-flowering improved by 51 and 59% in the P treatments in 2019 and 2020, respectively, compared to zero P. Additionally, the application of P resulted in an average increase of 15% in N translocation compared to without P treatment. As shown in <xref ref-type="table" rid="T1">
<bold>Table&#xa0;1</bold>
</xref>, P had an influence on NHI. In this study, the NHI increased by 11 and 14% with the P treatments in 2019 and 2020, respectively.</p>
<p>The application of NAA had a significant effect on N accumulation at flowering and maturity, post-flowering N assimilation, and N translocation. Compared to the zero NAA treatment, the use of NAA increased N accumulation at flowering and maturity, N assimilation post-flowering, N translocation, and NHI by 11, 17, 28, 10, and 5% in 2019, respectively. In addition, compared to zero NAA, there was a significant increase in N accumulation at flowering and maturity, N assimilation post-flowering, N translocation, and NHI, by 12, 18, 30, 16, and 6% in the year of 2020 with the application of NAA.</p>
<p>The interaction between P and NAA had a significant effect on N accumulation at maturity, post-flowering N assimilation, N translocation, and NHI (<xref ref-type="table" rid="T1">
<bold>Table&#xa0;1</bold>
</xref>). In both years, the maximum values of those indexes were observed when applying 67.5&#xa0;kg P<sub>2</sub>O<sub>5</sub> ha<sup>&#x2013;1</sup> combined with 20 mg NAA L<sup>&#x2013;1</sup>; conversely, the lowest values were recorded under no application of P or NAA (<xref ref-type="table" rid="T2">
<bold>Table&#xa0;2</bold>
</xref>). Compared with the lowest values, the maximum of these indexes increased by an average of 54, 50, 105, and 22%, respectively.</p>
<table-wrap id="T2" position="float">
<label>Table&#xa0;2</label>
<caption>
<p>Effect of phosphorus and naphthalene acetic acid levels on nitrogen accumulation, translocation, nitrogen assimilation post-flowering, and nitrogen harvest index of flax in 2019 and 2020 years at Dingxi, China.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" align="left">Year</th>
<th valign="middle" align="center">P<break/>rate</th>
<th valign="middle" align="center">NAA<break/>rate</th>
<th valign="top" align="center">Nitrogen accumulation<break/>at flowering (kg ha<sup>&#x2212;1</sup>)</th>
<th valign="top" align="center">Nitrogen accumulation at maturity (kg ha<sup>&#x2212;1</sup>)</th>
<th valign="top" align="center">Nitrogen assimilation post-flowering (kg ha<sup>&#x2212;1</sup>)</th>
<th valign="top" align="center">Nitrogen<break/>translocation (kg ha<sup>&#x2212;1</sup>)</th>
<th valign="top" align="center">Nitrogen<break/>harvest index</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">2019</td>
<td valign="top" align="left">P<sub>0</sub>
</td>
<td valign="top" align="left">NAA<sub>0</sub>
</td>
<td valign="top" align="center">60.36b<sup>&#x2020;</sup>
</td>
<td valign="middle" align="center">84.30g</td>
<td valign="middle" align="center">23.94f</td>
<td valign="middle" align="center">12.06d</td>
<td valign="middle" align="center">0.43c</td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="left"/>
<td valign="top" align="left">NAA<sub>20</sub>
</td>
<td valign="top" align="center">65.94b</td>
<td valign="middle" align="center">91.33f</td>
<td valign="middle" align="center">25.39f</td>
<td valign="middle" align="center">13.70c</td>
<td valign="middle" align="center">0.43c</td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="left"/>
<td valign="top" align="left">NAA<sub>40</sub>
</td>
<td valign="top" align="center">66.83b</td>
<td valign="middle" align="center">100.73e</td>
<td valign="middle" align="center">33.90e</td>
<td valign="middle" align="center">14.25b</td>
<td valign="middle" align="center">0.48b</td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="left">P<sub>1</sub>
</td>
<td valign="top" align="left">NAA<sub>0</sub>
</td>
<td valign="top" align="center">63.89b</td>
<td valign="middle" align="center">96.90e</td>
<td valign="middle" align="center">33.00e</td>
<td valign="middle" align="center">13.50c</td>
<td valign="middle" align="center">0.48b</td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="left"/>
<td valign="top" align="left">NAA<sub>20</sub>
</td>
<td valign="top" align="center">77.96a</td>
<td valign="middle" align="center">126.96a</td>
<td valign="middle" align="center">49.01a</td>
<td valign="middle" align="center">15.75a</td>
<td valign="middle" align="center">0.51a</td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="left"/>
<td valign="top" align="left">NAA<sub>40</sub>
</td>
<td valign="top" align="center">72.15a</td>
<td valign="middle" align="center">116.52c</td>
<td valign="middle" align="center">44.37b</td>
<td valign="middle" align="center">14.24b</td>
<td valign="middle" align="center">0.50a</td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="left">P<sub>2</sub>
</td>
<td valign="top" align="left">NAA<sub>0</sub>
</td>
<td valign="top" align="center">69.38ab</td>
<td valign="middle" align="center">106.60d</td>
<td valign="middle" align="center">37.22d</td>
<td valign="middle" align="center">13.84c</td>
<td valign="middle" align="center">0.48b</td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="left"/>
<td valign="top" align="left">NAA<sub>20</sub>
</td>
<td valign="top" align="center">74.73a</td>
<td valign="middle" align="center">121.19b</td>
<td valign="middle" align="center">46.46b</td>
<td valign="middle" align="center">14.38b</td>
<td valign="middle" align="center">0.50a</td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="left"/>
<td valign="top" align="left">NAA<sub>40</sub>
</td>
<td valign="top" align="center">73.26a</td>
<td valign="top" align="center">115.03c</td>
<td valign="top" align="center">41.77c</td>
<td valign="top" align="center">14.74b</td>
<td valign="top" align="center">0.49b</td>
</tr>
<tr>
<td valign="top" align="left">2020</td>
<td valign="top" align="left">P<sub>0</sub>
</td>
<td valign="top" align="left">NAA<sub>0</sub>
</td>
<td valign="top" align="center">60.17b</td>
<td valign="middle" align="center">88.37e</td>
<td valign="middle" align="center">27.02e</td>
<td valign="middle" align="center">10.04d</td>
<td valign="middle" align="center">0.43d</td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="left"/>
<td valign="top" align="left">NAA<sub>20</sub>
</td>
<td valign="top" align="center">65.41b</td>
<td valign="middle" align="center">92.43e</td>
<td valign="middle" align="center">28.20e</td>
<td valign="middle" align="center">13.91c</td>
<td valign="middle" align="center">0.44d</td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="left"/>
<td valign="top" align="left">NAA<sub>40</sub>
</td>
<td valign="top" align="center">68.48b</td>
<td valign="middle" align="center">105.17d</td>
<td valign="middle" align="center">36.69d</td>
<td valign="middle" align="center">13.79c</td>
<td valign="middle" align="center">0.48c</td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="left">P<sub>1</sub>
</td>
<td valign="top" align="left">NAA<sub>0</sub>
</td>
<td valign="top" align="center">67.80b</td>
<td valign="middle" align="center">103.19d</td>
<td valign="middle" align="center">35.39d</td>
<td valign="middle" align="center">15.07b</td>
<td valign="middle" align="center">0.49c</td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="left"/>
<td valign="top" align="left">NAA<sub>20</sub>
</td>
<td valign="top" align="center">81.66a</td>
<td valign="middle" align="center">139.78a</td>
<td valign="middle" align="center">58.12a</td>
<td valign="middle" align="center">17.50a</td>
<td valign="middle" align="center">0.54a</td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="left"/>
<td valign="top" align="left">NAA<sub>40</sub>
</td>
<td valign="top" align="center">76.03a</td>
<td valign="middle" align="center">127.35bc</td>
<td valign="middle" align="center">51.32b</td>
<td valign="middle" align="center">15.28b</td>
<td valign="middle" align="center">0.52b</td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="left">P<sub>2</sub>
</td>
<td valign="top" align="left">NAA<sub>0</sub>
</td>
<td valign="top" align="center">70.83b</td>
<td valign="middle" align="center">113.96c</td>
<td valign="middle" align="center">43.13c</td>
<td valign="middle" align="center">14.18c</td>
<td valign="middle" align="center">0.50c</td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="left"/>
<td valign="top" align="left">NAA<sub>20</sub>
</td>
<td valign="top" align="center">78.37a</td>
<td valign="middle" align="center">130.54b</td>
<td valign="middle" align="center">52.17b</td>
<td valign="middle" align="center">15.71b</td>
<td valign="middle" align="center">0.52b</td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="left"/>
<td valign="top" align="left">NAA<sub>40</sub>
</td>
<td valign="top" align="center">75.32a</td>
<td valign="top" align="center">126.49bc</td>
<td valign="top" align="center">51.17b</td>
<td valign="top" align="center">14.86b</td>
<td valign="top" align="center">0.52b</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>P stands for phosphorus. NAA refers to naphthalene acetic acid. P<sub>0</sub>, P<sub>1</sub>, and P<sub>2</sub> represent 0, 67.5 and 135.0&#xa0;kg P<sub>2</sub>O<sub>5</sub> ha<sup>&#x2212;1</sup>, respectively. NAA<sub>0</sub>, NAA<sub>20</sub>, and NAA<sub>40</sub> represent 0, 20, and 40&#xa0;g l<sup>&#x2212;1</sup>, respectively. &#x2020; Means in the same column followed by the same letter do not differ significantly according to the Tukey test (<italic>p</italic> = 0.05).</p>
</fn>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="s3_4">
<title>Phosphorus and NAA on P accumulation and translocation</title>
<p>Phosphorus accumulation at flowering, maturity, and assimilation post-flowering, as well as P translocation in aboveground plant parts and PHI increased significantly with the application of P fertilizers in both years. The P accumulation at flowering, maturity, and assimilation post-flowering, P translocation aboveground plant parts of flax as well as PHI were 113, 106, 88, 258, and 15% greater compared to the zero P application in 2019, and were 108, 99, 76, 274, and 14% greater in 2020.</p>
<p>The application of NAA significantly increased P accumulation at flowering, maturity, and assimilation post-flowering, as well as P translocation in aboveground plant parts and PHI in both years. Similarly, the P accumulation at flowering, maturity, and assimilation post-flowering, P translocation as well as PHI were 16, 16, 16, 29, and 6% greater compared to the zero NAA application in 2019, and were 17, 23, 46, 16, and 5% greater in 2020.</p>
<p>The interaction between P and NAA significantly affected P accumulation at maturity, assimilation post-flowering, P translocation, and PHI (<xref ref-type="table" rid="T1">
<bold>Table&#xa0;1</bold>
</xref>). The peak of P accumulation at maturity, assimilation post-flowering, P translocation, and PHI were obtained at 67.5&#xa0;kg P<sub>2</sub>O<sub>5</sub> ha<sup>&#x2013;1</sup> combined with 20 mg NAA L<sup>&#x2013;1</sup> in both years, while the lowest were observed when application 0&#xa0;kg P<sub>2</sub>O<sub>5</sub> ha<sup>&#x2013;1</sup> and 0 mg NAA L<sup>&#x2013;1</sup> in both years (<xref ref-type="table" rid="T3">
<bold>Table&#xa0;3</bold>
</xref>). On average, the maximum of these indexes were 143, 117, 557, and 29% greater compared to the lowest in 2019, and were 176, 183, 394, and 25% greater in 2020.</p>
<table-wrap id="T3" position="float">
<label>Table&#xa0;3</label>
<caption>
<p>Effect of phosphorus and naphthalene acetic acid levels on phosphorus accumulation, translocation, phosphorus assimilation post-flowering, and phosphorus harvest index of flax in 2019 and 2020 years at Dingxi, China.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" align="left">Year</th>
<th valign="middle" align="center">P<break/>rate</th>
<th valign="middle" align="center">NAA<break/>rate</th>
<th valign="top" align="center">P accumulation<break/>at flowering (kg ha<sup>&#x2212;1</sup>)</th>
<th valign="top" align="center">P accumulation at maturity (kg ha<sup>&#x2212;1</sup>)</th>
<th valign="top" align="center">P assimilation post-flowering (kg ha<sup>&#x2212;1</sup>)</th>
<th valign="top" align="center">P translocation<break/>(kg ha<sup>&#x2212;1</sup>)</th>
<th valign="top" align="center">P<break/>harvest index</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">2019</td>
<td valign="top" align="left">P<sub>0</sub>
</td>
<td valign="top" align="left">NAA<sub>0</sub>
</td>
<td valign="top" align="center">6.21d<sup>&#x2020;</sup>
</td>
<td valign="middle" align="center">8.63e</td>
<td valign="middle" align="center">2.42c</td>
<td valign="middle" align="center">0.63d</td>
<td valign="middle" align="center">0.35e</td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="left"/>
<td valign="top" align="left">NAA<sub>20</sub>
</td>
<td valign="top" align="center">6.68c</td>
<td valign="middle" align="center">9.28d</td>
<td valign="middle" align="center">2.60c</td>
<td valign="middle" align="center">0.93d</td>
<td valign="middle" align="center">0.38d</td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="left"/>
<td valign="top" align="left">NAA<sub>40</sub>
</td>
<td valign="top" align="center">7.52c</td>
<td valign="middle" align="center">9.97d</td>
<td valign="middle" align="center">2.45c</td>
<td valign="middle" align="center">1.34c</td>
<td valign="middle" align="center">0.38d</td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="left">P<sub>1</sub>
</td>
<td valign="top" align="left">NAA<sub>0</sub>
</td>
<td valign="top" align="center">12.52b</td>
<td valign="middle" align="center">16.32c</td>
<td valign="middle" align="center">3.80b</td>
<td valign="middle" align="center">2.96b</td>
<td valign="middle" align="center">0.41c</td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="left"/>
<td valign="top" align="left">NAA<sub>20</sub>
</td>
<td valign="top" align="center">15.70a</td>
<td valign="middle" align="center">20.97a</td>
<td valign="middle" align="center">5.26a</td>
<td valign="middle" align="center">4.14a</td>
<td valign="middle" align="center">0.45a</td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="left"/>
<td valign="top" align="left">NAA<sub>40</sub>
</td>
<td valign="top" align="center">14.46a</td>
<td valign="middle" align="center">18.90b</td>
<td valign="middle" align="center">4.44b</td>
<td valign="middle" align="center">3.47a</td>
<td valign="middle" align="center">0.42b</td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="left">P<sub>2</sub>
</td>
<td valign="top" align="left">NAA<sub>0</sub>
</td>
<td valign="top" align="center">13.51b</td>
<td valign="middle" align="center">17.96b</td>
<td valign="middle" align="center">4.46b</td>
<td valign="middle" align="center">3.05b</td>
<td valign="middle" align="center">0.42b</td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="left"/>
<td valign="top" align="left">NAA<sub>20</sub>
</td>
<td valign="top" align="center">15.37a</td>
<td valign="middle" align="center">20.53a</td>
<td valign="middle" align="center">5.17a</td>
<td valign="middle" align="center">3.54a</td>
<td valign="middle" align="center">0.42b</td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="left"/>
<td valign="top" align="left">NAA<sub>40</sub>
</td>
<td valign="top" align="center">15.28a</td>
<td valign="middle" align="center">20.18a</td>
<td valign="middle" align="center">4.89ab</td>
<td valign="middle" align="center">3.66a</td>
<td valign="middle" align="center">0.42b</td>
</tr>
<tr>
<td valign="top" align="left">2020</td>
<td valign="top" align="left">P<sub>0</sub>
</td>
<td valign="top" align="left">NAA<sub>0</sub>
</td>
<td valign="top" align="center">6.22d</td>
<td valign="middle" align="center">8.37e</td>
<td valign="middle" align="center">2.15e</td>
<td valign="middle" align="center">0.89d</td>
<td valign="middle" align="center">0.36d</td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="left"/>
<td valign="top" align="left">NAA<sub>20</sub>
</td>
<td valign="top" align="center">7.85c</td>
<td valign="middle" align="center">10.84d</td>
<td valign="middle" align="center">2.99e</td>
<td valign="middle" align="center">1.06c</td>
<td valign="middle" align="center">0.37d</td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="left"/>
<td valign="top" align="left">NAA<sub>40</sub>
</td>
<td valign="top" align="center">8.22c</td>
<td valign="middle" align="center">11.52d</td>
<td valign="middle" align="center">3.30d</td>
<td valign="middle" align="center">1.17c</td>
<td valign="middle" align="center">0.39c</td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="left">P<sub>1</sub>
</td>
<td valign="top" align="left">NAA<sub>0</sub>
</td>
<td valign="top" align="center">13.56b</td>
<td valign="middle" align="center">17.03c</td>
<td valign="middle" align="center">3.47d</td>
<td valign="middle" align="center">3.67b</td>
<td valign="middle" align="center">0.42b</td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="left"/>
<td valign="top" align="left">NAA<sub>20</sub>
</td>
<td valign="top" align="center">16.99a</td>
<td valign="middle" align="center">23.06a</td>
<td valign="middle" align="center">6.08a</td>
<td valign="middle" align="center">4.40a</td>
<td valign="middle" align="center">0.45a</td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="left"/>
<td valign="top" align="left">NAA<sub>40</sub>
</td>
<td valign="top" align="center">15.26a</td>
<td valign="middle" align="center">21.01b</td>
<td valign="middle" align="center">5.75a</td>
<td valign="middle" align="center">3.54b</td>
<td valign="middle" align="center">0.44a</td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="left">P<sub>2</sub>
</td>
<td valign="top" align="left">NAA<sub>0</sub>
</td>
<td valign="top" align="center">14.66b</td>
<td valign="middle" align="center">18.80c</td>
<td valign="middle" align="center">4.14c</td>
<td valign="middle" align="center">3.43b</td>
<td valign="middle" align="center">0.40c</td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="left"/>
<td valign="top" align="left">NAA<sub>20</sub>
</td>
<td valign="top" align="center">16.30a</td>
<td valign="middle" align="center">21.54b</td>
<td valign="middle" align="center">5.24ab</td>
<td valign="middle" align="center">4.28a</td>
<td valign="middle" align="center">0.44a</td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="left"/>
<td valign="top" align="left">NAA<sub>40</sub>
</td>
<td valign="top" align="center">15.86a</td>
<td valign="middle" align="center">20.87b</td>
<td valign="middle" align="center">5.01b</td>
<td valign="middle" align="center">4.01a</td>
<td valign="middle" align="center">0.43a</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>P stands for phosphorus. NAA refers to naphthalene acetic acid. P<sub>0</sub>, P<sub>1</sub>, and P<sub>2</sub> represent 0, 67.5 and 135.0&#xa0;kg P<sub>2</sub>O<sub>5</sub> ha<sup>&#x2212;1</sup>, respectively. NAA<sub>0</sub>, NAA<sub>20</sub>, and NAA<sub>40</sub> represent 0, 20, and 40&#xa0;g l<sup>&#x2212;1</sup>, respectively. &#x2020; Means in the same column followed by the same letter do not differ significantly according to the Tukey test (<italic>p</italic> = 0.05).</p>
</fn>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="s3_5">
<title>Phosphorus and NAA on the growth phenotype of flax</title>
<p>In the present study, there was no significant difference in flax plant height among P, NAA, and their interaction (<xref ref-type="table" rid="T1">
<bold>Table&#xa0;1</bold>
</xref>). However, the interaction among the year, P, and NAA affected plant height. The numbers of fruiting branches and tillers per plant were affected by P, NAA, and their interaction as shown in <xref ref-type="table" rid="T1">
<bold>Table&#xa0;1</bold>
</xref>. The application of P fertilizer resulted in a significant increase in the number of fruiting branches per plant, with an average improvement of 15 and 17% observed in 2019 and 2020, respectively, compared to plants that did not receive any P treatment. Similarly, the use of sprayed NAA led to an average increase of 11% (in 2019) and 10% (in 2020) in the number of fruiting branches per plant when compared to plants that were not treated with NAA spray. The number of fruiting branches per plant was impacted by the year, P, and NAA interaction (<xref ref-type="table" rid="T1">
<bold>Table&#xa0;1</bold>
</xref>). The highest number of fruiting branches per plant was recorded at 67.5&#xa0;kg P<sub>2</sub>O<sub>5</sub> ha<sup>&#x2013;1</sup> and 40 mg NAA L<sup>&#x2013;1</sup> in 2019, and at 67.5&#xa0;kg P<sub>2</sub>O<sub>5</sub> ha<sup>&#x2013;1</sup> and 20 mg NAA L<sup>&#x2013;1</sup> in 2020 (<xref ref-type="table" rid="T4">
<bold>Table&#xa0;4</bold>
</xref>).</p>
<table-wrap id="T4" position="float">
<label>Table&#xa0;4</label>
<caption>
<p>Effect of phosphorus and naphthalene acetic acid levels on plant height, number of fruiting branches per plant, and number of tillers per plant of flax in 2019 and 2020 years at Dingxi, China.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" align="center">Year</th>
<th valign="middle" align="center">P rate</th>
<th valign="middle" align="center">NAA rate</th>
<th valign="top" align="center">Plant<break/>height (cm)</th>
<th valign="top" align="center">Number of fruiting<break/>branches per plant</th>
<th valign="top" align="center">Number of tillers per plant</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="center">2019</td>
<td valign="top" align="center">P<sub>0</sub>
</td>
<td valign="top" align="center">NAA<sub>0</sub>
</td>
<td valign="top" align="center">71.70b<sup>&#x2020;</sup>
</td>
<td valign="middle" align="center">18.13d</td>
<td valign="middle" align="center">1.46d</td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="center"/>
<td valign="top" align="center">NAA<sub>20</sub>
</td>
<td valign="top" align="center">75.86a</td>
<td valign="middle" align="center">19.17c</td>
<td valign="middle" align="center">2.04c</td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="center"/>
<td valign="top" align="center">NAA<sub>40</sub>
</td>
<td valign="top" align="center">72.68ab</td>
<td valign="middle" align="center">19.96c</td>
<td valign="middle" align="center">2.20c</td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="center">P<sub>1</sub>
</td>
<td valign="top" align="center">NAA<sub>0</sub>
</td>
<td valign="top" align="center">69.54b</td>
<td valign="middle" align="center">20.85b</td>
<td valign="middle" align="center">2.21c</td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="center"/>
<td valign="top" align="center">NAA<sub>20</sub>
</td>
<td valign="top" align="center">60.46c</td>
<td valign="middle" align="center">22.87a</td>
<td valign="middle" align="center">2.86b</td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="center"/>
<td valign="top" align="center">NAA<sub>40</sub>
</td>
<td valign="top" align="center">70.22b</td>
<td valign="middle" align="center">23.68a</td>
<td valign="middle" align="center">3.23b</td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="center">P<sub>2</sub>
</td>
<td valign="top" align="center">NAA<sub>0</sub>
</td>
<td valign="top" align="center">68.28b</td>
<td valign="middle" align="center">19.52c</td>
<td valign="middle" align="center">3.15b</td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="center"/>
<td valign="top" align="center">NAA<sub>20</sub>
</td>
<td valign="top" align="center">77.92a</td>
<td valign="middle" align="center">21.85b</td>
<td valign="middle" align="center">3.73a</td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="center"/>
<td valign="top" align="center">NAA<sub>40</sub>
</td>
<td valign="top" align="center">78.00a</td>
<td valign="middle" align="center">22.85a</td>
<td valign="middle" align="center">4.02a</td>
</tr>
<tr>
<td valign="top" align="center">2020</td>
<td valign="top" align="center">P<sub>0</sub>
</td>
<td valign="top" align="center">NAA<sub>0</sub>
</td>
<td valign="top" align="center">75.26b</td>
<td valign="middle" align="center">19.47d</td>
<td valign="middle" align="center">1.80d</td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="center"/>
<td valign="top" align="center">NAA<sub>20</sub>
</td>
<td valign="top" align="center">81.22a</td>
<td valign="middle" align="center">20.01d</td>
<td valign="middle" align="center">2.53c</td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="center"/>
<td valign="top" align="center">NAA<sub>40</sub>
</td>
<td valign="top" align="center">85.26a</td>
<td valign="middle" align="center">21.12c</td>
<td valign="middle" align="center">2.58c</td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="center">P<sub>1</sub>
</td>
<td valign="top" align="center">NAA<sub>0</sub>
</td>
<td valign="top" align="center">78.62ab</td>
<td valign="middle" align="center">22.76b</td>
<td valign="middle" align="center">2.84c</td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="center"/>
<td valign="top" align="center">NAA<sub>20</sub>
</td>
<td valign="top" align="center">76.76b</td>
<td valign="middle" align="center">25.91a</td>
<td valign="middle" align="center">3.36b</td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="center"/>
<td valign="top" align="center">NAA<sub>40</sub>
</td>
<td valign="top" align="center">67.50c</td>
<td valign="middle" align="center">25.23a</td>
<td valign="middle" align="center">3.91a</td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="center">P<sub>2</sub>
</td>
<td valign="top" align="center">NAA<sub>0</sub>
</td>
<td valign="top" align="center">64.52d</td>
<td valign="middle" align="center">20.91c</td>
<td valign="middle" align="center">3.01b</td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="center"/>
<td valign="top" align="center">NAA<sub>20</sub>
</td>
<td valign="top" align="center">70.18c</td>
<td valign="middle" align="center">23.78b</td>
<td valign="middle" align="center">3.83a</td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="center"/>
<td valign="top" align="center">NAA<sub>40</sub>
</td>
<td valign="top" align="center">75.54b</td>
<td valign="middle" align="center">23.41b</td>
<td valign="middle" align="center">4.47a</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>P stands for phosphorus. NAA refers to naphthalene acetic acid. P<sub>0</sub>, P<sub>1</sub>, and P<sub>2</sub> represent 0, 67.5 and 135.0&#xa0;kg P<sub>2</sub>O<sub>5</sub> ha<sup>&#x2212;1</sup>, respectively. NAA<sub>0</sub>, NAA<sub>20</sub>, and NAA<sub>40</sub> represent 0, 20, and 40&#xa0;g l<sup>&#x2212;1</sup>, respectively. &#x2020; Means in the same column followed by the same letter do not differ significantly according to the Tukey test (<italic>p</italic> = 0.05).</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>The number of tillers per plant increased with increasing P supply. Compared to no application of P, the use P treatments resulted in an average increase of 68% in 2019 and 55% in 2020. Furthermore, the application of NAA led to an average increase in the number of tillers per plant by 33 and 35% in 2019 and 2020, respectively, compared to zero NAA. Additionally, the highest values were observed at a combination of 135&#xa0;kg P<sub>2</sub>O<sub>5</sub> ha<sup>&#x2013;1</sup> and 40 mg NAA L<sup>&#x2013;1</sup> in both years (<xref ref-type="table" rid="T4">
<bold>Table&#xa0;4</bold>
</xref>).</p>
</sec>
<sec id="s3_6">
<title>Phosphorus and NAA on seed yield and yield components</title>
<p>Phosphorus significantly impacted the seed yield of flax, with an increase in seed yield as P supply rate increased. Notably, no difference was found between 67.5 and 135.0&#xa0;kg P<sub>2</sub>O<sub>5</sub> ha<sup>&#x2013;1</sup>. The application of P fertilizer resulted in an average increment in seed yield of 12% (2019) and 14% (2020) when compared to zero P. Furthermore, both capsules per plant and 1000-seed weight were influenced by P fertilizer (<xref ref-type="table" rid="T1">
<bold>Table&#xa0;1</bold>
</xref>). Capsules per plant showed an average improvement of 6 and 9% in the P treatments in 2019 and 2020, respectively, compared to no application of P. Additionally, the addition of P resulted in a 3% increase (in both years) in 1000-seed weight when compared to no application of P.</p>
<p>Seed yield was significantly impacted by the application of NAA. Compared to the zero NAA treatment, the application of NAA led to an average increase in seed yield of 8% in 2019 and 9% in 2020, respectively. Furthermore, the application of NAA significantly affected the capsules per plant of flax, with an average increase of 12%, when compared to the zero NAA treatment. Moreover, the interaction between P and NAA had a significant influence on the seed yield, capsules per plant, and 1000-seed weight of flax (<xref ref-type="table" rid="T1">
<bold>Table&#xa0;1</bold>
</xref>). The highest seed yield of 1891&#xa0;kg ha<sup>&#x2013;1</sup> in 2019 and 2029&#xa0;kg ha<sup>&#x2013;1</sup> in 2020 was achieved with an application of 67.5&#xa0;kg P<sub>2</sub>O<sub>5</sub> ha<sup>&#x2013;1</sup> and 20 mg NAA L<sup>&#x2013;1</sup> (<xref ref-type="table" rid="T5">
<bold>Table&#xa0;5</bold>
</xref>). On average, the maximum seed yield was 36% greater than the lowest value in both years. Additionally, the maximum capsules per plant were observed at 67.5&#xa0;kg P<sub>2</sub>O<sub>5</sub> ha<sup>&#x2013;1</sup> and 20 mg NAA L<sup>&#x2013;1</sup> in both 2019 and 2020; whereas the highest 1000-seed weight was observed at a rate of 135.0&#xa0;kg P<sub>2</sub>O<sub>5</sub> ha<sup>&#x2013;1</sup> and 40 mg NAA L<sup>&#x2013;1</sup>. On average, the maximum values increased by an average of 3% compared with the lowest 1000-seed weight (<xref ref-type="table" rid="T5">
<bold>Table&#xa0;5</bold>
</xref>).</p>
<table-wrap id="T5" position="float">
<label>Table&#xa0;5</label>
<caption>
<p>Effect of phosphorus and naphthalene acetic acid levels on seed yield and yield components of flax in 2019 and 2020 years at Dingxi, China.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" align="center">Year</th>
<th valign="middle" align="center">P rate</th>
<th valign="middle" align="center">NAA rate</th>
<th valign="top" align="center">Seed yield<break/>(kg ha<sup>&#x2212;1</sup>)</th>
<th valign="top" align="center">Number of<break/>capsules per plant</th>
<th valign="top" align="center">Number of seeds per capsule</th>
<th valign="top" align="center">1000-seed<break/>weight</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="center">2019</td>
<td valign="top" align="center">P<sub>0</sub>
</td>
<td valign="top" align="center">NAA<sub>0</sub>
</td>
<td valign="top" align="center">1396.11e<sup>&#x2020;</sup>
</td>
<td valign="middle" align="center">16.67d</td>
<td valign="middle" align="center">6.82a</td>
<td valign="middle" align="center">6.01c</td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="center"/>
<td valign="top" align="center">NAA<sub>20</sub>
</td>
<td valign="top" align="center">1511.66d</td>
<td valign="middle" align="center">18.23c</td>
<td valign="middle" align="center">6.91a</td>
<td valign="middle" align="center">6.06bc</td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="center"/>
<td valign="top" align="center">NAA<sub>40</sub>
</td>
<td valign="top" align="center">1485.00d</td>
<td valign="middle" align="center">19.60b</td>
<td valign="middle" align="center">7.12a</td>
<td valign="middle" align="center">6.12b</td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="center">P<sub>1</sub>
</td>
<td valign="top" align="center">NAA<sub>0</sub>
</td>
<td valign="top" align="center">1487.34d</td>
<td valign="middle" align="center">17.84c</td>
<td valign="middle" align="center">7.05a</td>
<td valign="middle" align="center">6.12b</td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="center"/>
<td valign="top" align="center">NAA<sub>20</sub>
</td>
<td valign="top" align="center">1890.67a</td>
<td valign="middle" align="center">21.26a</td>
<td valign="middle" align="center">7.12a</td>
<td valign="middle" align="center">6.13b</td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="center"/>
<td valign="top" align="center">NAA<sub>40</sub>
</td>
<td valign="top" align="center">1491.34d</td>
<td valign="middle" align="center">20.22b</td>
<td valign="middle" align="center">7.20a</td>
<td valign="middle" align="center">6.24b</td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="center">P<sub>2</sub>
</td>
<td valign="top" align="center">NAA<sub>0</sub>
</td>
<td valign="top" align="center">1633.35c</td>
<td valign="middle" align="center">17.86c</td>
<td valign="middle" align="center">7.12a</td>
<td valign="middle" align="center">6.31a</td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="center"/>
<td valign="top" align="center">NAA<sub>20</sub>
</td>
<td valign="top" align="center">1700.33b</td>
<td valign="middle" align="center">19.78b</td>
<td valign="middle" align="center">7.05a</td>
<td valign="middle" align="center">6.35a</td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="center"/>
<td valign="top" align="center">NAA<sub>40</sub>
</td>
<td valign="top" align="center">1677.00bc</td>
<td valign="middle" align="center">18.09c</td>
<td valign="middle" align="center">7.31a</td>
<td valign="middle" align="center">6.43a</td>
</tr>
<tr>
<td valign="top" align="center">2020</td>
<td valign="top" align="center">P<sub>0</sub>
</td>
<td valign="top" align="center">NAA<sub>0</sub>
</td>
<td valign="top" align="center">1480.67e</td>
<td valign="middle" align="center">15.41e</td>
<td valign="middle" align="center">6.86a</td>
<td valign="middle" align="center">6.05c</td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="center"/>
<td valign="top" align="center">NAA<sub>20</sub>
</td>
<td valign="top" align="center">1789.33d</td>
<td valign="middle" align="center">20.46c</td>
<td valign="middle" align="center">7.09a</td>
<td valign="middle" align="center">6.12c</td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="center"/>
<td valign="top" align="center">NAA<sub>40</sub>
</td>
<td valign="top" align="center">1786.34d</td>
<td valign="middle" align="center">22.04b</td>
<td valign="middle" align="center">7.05a</td>
<td valign="middle" align="center">6.14c</td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="center">P<sub>1</sub>
</td>
<td valign="top" align="center">NAA<sub>0</sub>
</td>
<td valign="top" align="center">1837.66c</td>
<td valign="middle" align="center">19.88d</td>
<td valign="middle" align="center">7.15a</td>
<td valign="middle" align="center">6.12c</td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="center"/>
<td valign="top" align="center">NAA<sub>20</sub>
</td>
<td valign="top" align="center">2028.67a</td>
<td valign="middle" align="center">23.47a</td>
<td valign="middle" align="center">7.13a</td>
<td valign="middle" align="center">6.33b</td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="center"/>
<td valign="top" align="center">NAA<sub>40</sub>
</td>
<td valign="top" align="center">1886.69b</td>
<td valign="middle" align="center">20.92c</td>
<td valign="middle" align="center">7.22a</td>
<td valign="middle" align="center">6.45a</td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="center">P<sub>2</sub>
</td>
<td valign="top" align="center">NAA<sub>0</sub>
</td>
<td valign="top" align="center">1904.34b</td>
<td valign="middle" align="center">20.50c</td>
<td valign="middle" align="center">6.94a</td>
<td valign="middle" align="center">6.27b</td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="center"/>
<td valign="top" align="center">NAA<sub>20</sub>
</td>
<td valign="top" align="center">1981.01a</td>
<td valign="middle" align="center">21.21bc</td>
<td valign="middle" align="center">6.99a</td>
<td valign="middle" align="center">6.32b</td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="center"/>
<td valign="top" align="center">NAA<sub>40</sub>
</td>
<td valign="top" align="center">1909.03b</td>
<td valign="middle" align="center">20.82c</td>
<td valign="middle" align="center">7.05a</td>
<td valign="middle" align="center">6.51a</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>P stands for phosphorus. NAA refers to naphthalene acetic acid. NAA refers to naphthalene acetic acid. P<sub>0</sub>, P<sub>1</sub>, and P<sub>2</sub> represent 0, 67.5 and 135.0&#xa0;kg P<sub>2</sub>O<sub>5</sub> ha<sup>&#x2212;1</sup>, respectively. NAA<sub>0</sub>, NAA<sub>20</sub>, and NAA<sub>40</sub> represent 0, 20, and 40&#xa0;g l<sup>&#x2212;1</sup>, respectively. &#x2020; Means in the same column followed by the same letter do not differ significantly according to the Tukey test (<italic>p</italic> = 0.05).</p>
</fn>
</table-wrap-foot>
</table-wrap>
</sec>
</sec>
<sec id="s4" sec-type="discussion">
<title>Discussion</title>
<sec id="s4_1">
<title>Effect of P</title>
<p>Our research indicated the application of P fertilizer enhanced SPS activity in flax by up-regulating the relative expression level of <italic>LuSPS1-3</italic> while down-regulating that of <italic>LuSPS4</italic>. In addition, this study has also revealed that the relative expression level of <italic>LuRubisco</italic> in flax leaves significantly increased under P fertilization treatments. Furthermore, we observed a similar trend between Rubisco activity and the relative expression level of <italic>LuRubisco</italic> in response to P application. In a study of wheat, the function of SPS was initially discovered by <xref ref-type="bibr" rid="B24">Leloir and Cardini (1955)</xref>. Subsequently, many studies have demonstrated that SPS is the pivotal enzyme in sucrose biosynthesis, which is associated with crop growth and yield (<xref ref-type="bibr" rid="B6">Castleden et&#xa0;al., 2004</xref>). Recent research has shown that P fertilizer up-regulates the activity of SPS in citrus fruit (<xref ref-type="bibr" rid="B58">Wu et&#xa0;al., 2021</xref>). This finding aligns with our study results, which demonstrate P fertilizer increased flax leaves SPS activity. In cotton, the addition of P has been shown to enhance SPS activity in cottonseed kernel (<xref ref-type="bibr" rid="B55">Wang et&#xa0;al., 2023</xref>). Moreover, numerous studies have revealed that plant species possess multiple <italic>SPS</italic> genes and their expression varies depending on developmental stages, tissue types and environmental cues (<xref ref-type="bibr" rid="B32">Lutfiyya et&#xa0;al., 2007</xref>; <xref ref-type="bibr" rid="B33">Ma et&#xa0;al., 2020</xref>). Obviously, the application of P fertilizer can promote photosynthetic C metabolism, as judged from the relative expression levels of <italic>LuSPS1-3</italic> and <italic>LuRubisco</italic>, as well as SPS and Rubisco activities. This was related to higher photosynthesis efficiency. <xref ref-type="bibr" rid="B25">Li et&#xa0;al. (2022)</xref> demonstrated that Pi deficiency regulated photosynthesis-related genes at the transcriptional level, thereby inhibiting photosynthesis. Moreover, <xref ref-type="bibr" rid="B21">Kayoumu et&#xa0;al. (2023)</xref> reported that appropriate P enhanced the photosynthesis of cotton.</p>
<p>Previous study found that P treatments significantly increased N and P accumulations at flowering and maturity as well as post-flowering N and P assimilations and translocations on durum wheat (<xref ref-type="bibr" rid="B11">Dordas, 2009</xref>). These findings were in agreement with our current results. In addition, <xref ref-type="bibr" rid="B60">Xie et&#xa0;al. (2023)</xref> have found that the P fertilized flax enhanced the N uptake in aboveground parts. Those results showed that P enhanced N transport, reduction and assimilation. At the meantime, <xref ref-type="bibr" rid="B11">Dordas (2009)</xref> also reported that the application of P did not affect the NHI and PHI of durum wheat, this result is at odds with our studies. These differences were probably attributable to species, soil types, and sink capacity.</p>
<p>To meet the demand for food from the fast-growing global population, crop production will need to increase by approximately 60% (<xref ref-type="bibr" rid="B37">Muhie, 2022</xref>). The flexible management practice of P fertilization can enhance crop productivity. Application of P treatments significantly increased the numbers of fruiting branches and tillers per plant. In this respect, our results agreed with those of <xref ref-type="bibr" rid="B17">Hocking and Pinkerton (1993)</xref>. Moreover, this study found that P application improved flax seed yield, which is consistent with previous reports (<xref ref-type="bibr" rid="B36">Muhammad et&#xa0;al., 2020</xref>; <xref ref-type="bibr" rid="B63">Xie et&#xa0;al., 2020</xref>; <xref ref-type="bibr" rid="B59">Xie et&#xa0;al., 2022</xref>). Similar results have been observed in other species, such as soybean (<xref ref-type="bibr" rid="B66">Yin et&#xa0;al., 2016</xref>; <xref ref-type="bibr" rid="B54">Taliman et&#xa0;al., 2019</xref>), pea, canola (<xref ref-type="bibr" rid="B66">Yin et&#xa0;al., 2016</xref>), wheat (<xref ref-type="bibr" rid="B51">&#x160;karpa et&#xa0;al., 2021</xref>), maize (<xref ref-type="bibr" rid="B51">&#x160;karpa et&#xa0;al., 2021</xref>), and rice (<xref ref-type="bibr" rid="B51">&#x160;karpa et&#xa0;al., 2021</xref>). In this study, the application of P fertilizer had a significant influence on both 1000-seed weight and the number of capsules per plant in flax, which is consistent with previous research findings (<xref ref-type="bibr" rid="B17">Hocking and Pinkerton, 1993</xref>; <xref ref-type="bibr" rid="B62">Xie et&#xa0;al., 2016</xref>). In the present study, the increase in seed yield due to P fertilization may be a result of improvement fruiting branches per plant, capsule per plant and the 1000-seed weight. The rise in seed yield with fertilizer P application is likely linked to enhance C and N assimilation (<xref ref-type="bibr" rid="B22">Lawlor, 2002</xref>; <xref ref-type="bibr" rid="B47">Ren et&#xa0;al., 2020</xref>) and photosynthesis efficiency (<xref ref-type="bibr" rid="B25">Li et&#xa0;al., 2022</xref>).</p>
</sec>
<sec id="s4_2">
<title>Effect of NAA</title>
<p>Previous studies have demonstrated that exogenous auxin can stimulate root system growth in plants, thus improving their ability to absorb nutrient and metal ion (<xref ref-type="bibr" rid="B20">Ji et&#xa0;al., 2015</xref>; <xref ref-type="bibr" rid="B67">Zaid et&#xa0;al., 2020</xref>; <xref ref-type="bibr" rid="B8">Chen et&#xa0;al., 2021</xref>). However, there has been limited research on the effects of application exogenous NAA to crops for increasing N uptake. In the current study, spray of NAA resulted in an increase in N and P accumulation at flowering and maturity, N and P assimilation post-flowering, N and P translocation, and NHI and PHI. Previous research has reported that exogenous application of IAA significantly promoted uranium (U) and cadmium (Cd) translocation from roots to shoots in sunflowers (<xref ref-type="bibr" rid="B8">Chen et&#xa0;al., 2021</xref>).</p>
<p>In this study, the application of NAA resulted in a significant increase in seed yield of flax. Previous studies on alfalfa and faba bean have also reported similar results, with a 23% increase in seed yield observed after NAA application (<xref ref-type="bibr" rid="B69">Zhang et&#xa0;al., 2009</xref>). Additionally, research on rice has identified that auxin can improve grain yield (<xref ref-type="bibr" rid="B2">Aryan et&#xa0;al., 2023</xref>). In our study, we found that NAA increased the number of fruiting branches per plant, tillers per plant, and capsules per plant and 1000-seed weight. The reasons for this may be adequate C and N assimilation after NAA application. In another study, <xref ref-type="bibr" rid="B35">Mousavi et&#xa0;al. (2022)</xref> observed that foliar application of IAA had a significantly positive effect on seed yield and yield components in safflower. However, it should be noted that <xref ref-type="bibr" rid="B14">Giannakoula et&#xa0;al. (2012)</xref> reported no significant effect of NAA on 1000-seed weight in lentil. The inconsistency among various studies may be attributable to differences in genotypes, type of auxin, and climate conditions. Additionally, the application of NAA increased the number of capsules per plant and seed yield. This can be attributed to NAA enhancing C and N metabolism in plants by up-regulating the SPS and Rubisco activities as well as N absorption, translocation, and assimilation, which promote photosynthesis resulting in seed production as well as flowering and seed formation. Further research is required to validate the mechanism for increasing seed yield through P and NAA application.</p>
<p>This is the first report demonstrating that the supply of P and NAA affects the relative expression of <italic>LuSPS1, LuSPS2, LuSPS3</italic>, <italic>LuSPS4</italic>, and <italic>LuRubisco</italic> as well as SPS and Rubisco activities, N and P accumulation, assimilation, and translocation in flax.</p>
</sec>
<sec id="s4_3">
<title>Effect of the interaction</title>
<p>In this study, the interaction between NAA and P led to increasing SPS and Rubisco activities as well as N translocation and assimilation probably due to coordinating regulation of C and N assimilation (<xref ref-type="bibr" rid="B22">Lawlor, 2002</xref>; <xref ref-type="bibr" rid="B47">Ren et&#xa0;al., 2020</xref>), maintain a higher relatively stable C and N metabolism (<xref ref-type="bibr" rid="B47">Ren et&#xa0;al., 2020</xref>), and sustain C/N balance (<xref ref-type="bibr" rid="B15">Gong et&#xa0;al., 2020</xref>; <xref ref-type="bibr" rid="B28">Liu et&#xa0;al., 2022</xref>), and improve photosynthesis (<xref ref-type="bibr" rid="B25">Li et&#xa0;al., 2022</xref>). As a result, the P and NAA interaction increased significantly seed yield of flax, probably due to (i) with sufficient NO<sub>3</sub>
<sup>&#x2212;</sup> and CO<sub>2</sub> assimilation, the supply of assimilates from C and N assimilation to developing meristems is adequate to maintain their growth, resulting in an increase in tillers, fruiting branches, capsules per plant, and seed production; and (ii) the capacity of seeds to grow is enhanced, possibly partly explained by increase in cells with greater enzyme capacity. Given adequate assimilates during seed filling, more seeds are filled and they are larger. These factors collectively contribute to large yield (<xref ref-type="bibr" rid="B22">Lawlor, 2002</xref>). Furthermore, the complex mechanism of involved in others enzymes activities on C and N metabolites of flax with the combination of P and NAA for increasing seed yield need further to explore in the future.</p>
<p>Moreover, the interaction between year and P affected the relative expression level of <italic>LuSPS4</italic>, plant height, and seeds of per capsule of flax. The year and NAA interaction influenced Rubisco activity, and capsules per plan. Moreover, the interaction among the year, P, and NAA impacted plant height and number of fruiting branches per plant of flax.</p>
</sec>
</sec>
<sec id="s5" sec-type="conclusions">
<title>Conclusion</title>
<p>Effective management practices are critical for the economic viability of crop production and environmental sustainability. To estimate the effect of P and NAA rates on seed yield, we first elaborate on the response of <italic>LuSPS1, LuSPS2, LuSPS3</italic>, <italic>LuSPS4</italic>, and <italic>LuRubisco</italic> genes&#x2019; relative expression levels as well as SPS and Rubisco activities, N and P accumulation and translocation in flax under different P and NAA rates. Our study reveals that application of P and NAA significantly increased the relative expression levels of <italic>LuSPS1</italic>, <italic>LuSPS3</italic>, and <italic>LuRubisco</italic> genes, SPS and Rubisco activities, N and P accumulation at flowering and maturity, post-flowering N and P assimilation, N and P translocation, NHI, fruiting branches per plant, tillers per plant, capsules per plant, 1000-seed weight, and seed yield of flax.</p>
<p>The highest seed yield (1891&#xa0;kg ha<sup>&#x2212;1</sup> in 2019 and 2029&#xa0;kg ha<sup>&#x2212;1</sup> in 2020) were recorded with the application of 67.5&#xa0;kg P<sub>2</sub>O<sub>5</sub> ha<sup>&#x2013;1</sup> and 20 mg NAA L<sup>&#x2013;1</sup>. It appears that an appropriate combination of P and NAA can be applied in flax production to increase seed yield by maintaining higher C and N assimilation under rain-fed conditions as shown in <xref ref-type="fig" rid="f5">
<bold>Figure&#xa0;5</bold>
</xref>.</p>
<fig id="f5" position="float">
<label>Figure&#xa0;5</label>
<caption>
<p>Appropriate combination of P and NAA increase seed yield of flax by maintaining higher C and N assimilation.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fpls-14-1228755-g005.tif"/>
</fig>
</sec>
<sec id="s6" sec-type="data-availability">
<title>Data availability statement</title>
<p>The original contributions presented in the study are included in the article/<xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary Material</bold>
</xref>. Further inquiries can be directed to the corresponding author.</p>
</sec>
<sec id="s7" sec-type="author-contributions">
<title>Author contributions</title>
<p>YX analyzed the data and prepared the first draft. HD and LW as project administration. JZ conceived the conceptualization and methodology for the experiments. ZD, WJL, and YQ investigated the manuscript. WZ, KD, XRW, YJZ, YCZ, XZW, WL, and LRZ helped in experiments and data collection. All authors contributed to the article and approved the submitted version.</p>
</sec>
</body>
<back>
<sec id="s8" sec-type="funding-information">
<title>Funding</title>
<p>This study was supported by the Key Research and Development Projects of Gansu Academy of Agricultural Sciences (2021GAAS20), the National Natural Science Programs of China (31660368), the Major Special Projects of Gansu Province (21ZD4NA022-02), Gansu Intellectual Property Program (21ZSCQ026), Lanzhou Science and Technology Plan Project (2021-1-172), the Youth innovation of Chinese Academy of Agricultural Sciences (Y2023QC31), China Agriculture Research System of MOF and MARA (CARS-17-GW-04) as well as the Technology Innovation of Oil Crops Molecular Breeding and Application (2020GAAS08).</p>
</sec>
<ack>
<title>Acknowledgments</title>
<p>Authors appreciate greatly the support and help from Professor Junyi Niu.</p>
</ack>
<sec id="s9" sec-type="COI-statement">
<title>Conflict of interest</title>
<p>The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec id="s10" sec-type="disclaimer">
<title>Publisher&#x2019;s notes</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
<sec id="s11" sec-type="supplementary-material">
<title>Supplementary material</title>
<p>The Supplementary Material for this article can be found online at: <ext-link ext-link-type="uri" xlink:href="https://www.frontiersin.org/articles/10.3389/fpls.2023.1228755/full#supplementary-material">https://www.frontiersin.org/articles/10.3389/fpls.2023.1228755/full#supplementary-material</ext-link></p>
<supplementary-material xlink:href="Table_1.docx" id="SM1" mimetype="application/vnd.openxmlformats-officedocument.wordprocessingml.document"/>
</sec>
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