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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Plant Sci.</journal-id>
<journal-title>Frontiers in Plant Science</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Plant Sci.</abbrev-journal-title>
<issn pub-type="epub">1664-462X</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.3389/fpls.2024.1385980</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>Investigation of the regulatory effects of water and nitrogen supply on nitrogen transport and distribution in wolfberry fields</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Tian</surname>
<given-names>Rongrong</given-names>
</name>
<uri xlink:href="https://loop.frontiersin.org/people/2538646"/>
<role content-type="https://credit.niso.org/contributor-roles/conceptualization/"/>
<role content-type="https://credit.niso.org/contributor-roles/data-curation/"/>
<role content-type="https://credit.niso.org/contributor-roles/formal-analysis/"/>
<role content-type="https://credit.niso.org/contributor-roles/investigation/"/>
<role content-type="https://credit.niso.org/contributor-roles/methodology/"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-original-draft/"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Wang</surname>
<given-names>Jinghai</given-names>
</name>
<xref ref-type="author-notes" rid="fn001">
<sup>*</sup>
</xref>
<role content-type="https://credit.niso.org/contributor-roles/conceptualization/"/>
<role content-type="https://credit.niso.org/contributor-roles/project-administration/"/>
<role content-type="https://credit.niso.org/contributor-roles/supervision/"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-review-editing/"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Yin</surname>
<given-names>Minhua</given-names>
</name>
<xref ref-type="author-notes" rid="fn001">
<sup>*</sup>
</xref>
<role content-type="https://credit.niso.org/contributor-roles/data-curation/"/>
<role content-type="https://credit.niso.org/contributor-roles/formal-analysis/"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-review-editing/"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Ma</surname>
<given-names>Yanlin</given-names>
</name>
<role content-type="https://credit.niso.org/contributor-roles/funding-acquisition/"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-review-editing/"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Jia</surname>
<given-names>Qiong</given-names>
</name>
<role content-type="https://credit.niso.org/contributor-roles/funding-acquisition/"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-review-editing/"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Kang</surname>
<given-names>Yanxia</given-names>
</name>
<role content-type="https://credit.niso.org/contributor-roles/funding-acquisition/"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-review-editing/"/>
<role content-type="https://credit.niso.org/contributor-roles/project-administration/"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Qi</surname>
<given-names>Guangping</given-names>
</name>
<role content-type="https://credit.niso.org/contributor-roles/formal-analysis/"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-review-editing/"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Gao</surname>
<given-names>Yalin</given-names>
</name>
<role content-type="https://credit.niso.org/contributor-roles/writing-review-editing/"/>
<role content-type="https://credit.niso.org/contributor-roles/investigation/"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Jiang</surname>
<given-names>Yuanbo</given-names>
</name>
<role content-type="https://credit.niso.org/contributor-roles/writing-review-editing/"/>
<role content-type="https://credit.niso.org/contributor-roles/methodology/"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Li</surname>
<given-names>Haiyan</given-names>
</name>
<role content-type="https://credit.niso.org/contributor-roles/writing-review-editing/"/>
<role content-type="https://credit.niso.org/contributor-roles/project-administration/"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Xiao</surname>
<given-names>Feng</given-names>
</name>
<role content-type="https://credit.niso.org/contributor-roles/investigation/"/>
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</contrib>
</contrib-group>
<aff id="aff1">
<institution>College of Water Conservancy and Hydropower Engineering, Gansu Agricultural University</institution>, <addr-line>Lanzhou</addr-line>, <country>China</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>Edited by: Jose R. Peralta-Videa, The University of Texas at El Paso, United States</p>
</fn>
<fn fn-type="edited-by">
<p>Reviewed by: Haidong Wang, Kunming University of Science and Technology, China</p>
<p>Fucang Zhang, Northwest A&amp;F University, China</p>
</fn>
<fn fn-type="corresp" id="fn001">
<p>*Correspondence: Jinghai Wang, <email xlink:href="mailto:wangjh@gsau.edu.cn">wangjh@gsau.edu.cn</email>; Minhua Yin, <email xlink:href="mailto:yinmh@gsau.edu.cn">yinmh@gsau.edu.cn</email>
</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>17</day>
<month>04</month>
<year>2024</year>
</pub-date>
<pub-date pub-type="collection">
<year>2024</year>
</pub-date>
<volume>15</volume>
<elocation-id>1385980</elocation-id>
<history>
<date date-type="received">
<day>14</day>
<month>02</month>
<year>2024</year>
</date>
<date date-type="accepted">
<day>01</day>
<month>04</month>
<year>2024</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2024 Tian, Wang, Yin, Ma, Jia, Kang, Qi, Gao, Jiang, Li and Xiao</copyright-statement>
<copyright-year>2024</copyright-year>
<copyright-holder>Tian, Wang, Yin, Ma, Jia, Kang, Qi, Gao, Jiang, Li and Xiao</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>Resource-based water shortages, uncoordinated irrigation, and fertilization are prevalent challenges in agricultural production. The scientific selection of appropriate water and fertilizer management methods is important for improving the utilization efficiency of agricultural resources and alleviating agricultural non-point source pollution. This study focused on wolfberry and compared the effects of four irrigation levels [full irrigation (W0, 75%&#x2013;85% &#x3b8;<sub>f</sub>), slight water deficit (W1, 65%&#x2013;75% &#x3b8;<sub>f</sub>), moderate water deficit (W2, 55%&#x2013;65% &#x3b8;<sub>f</sub>), and severe water deficit (W3, 45%&#x2013;55% &#x3b8;<sub>f</sub>)] and four nitrogen application levels [no nitrogen application (N0, 0 kg&#xb7;ha<sup>&#x2212;1</sup>), low nitrogen application (N1, 150 kg&#xb7;ha<sup>&#x2212;1</sup>), medium nitrogen application (N2, 300 kg&#xb7;ha<sup>&#x2212;1</sup>), and high nitrogen application (N3, 450 kg&#xb7;ha<sup>&#x2212;1</sup>)] on soil nitrate nitrogen (NO<sub>3</sub>
<sup>&#x2212;</sup>&#x2013;N) transport, plant nitrogen allocation, and soil nitrous oxide (N<sub>2</sub>O) emissions during the harvest period of wolfberry. And this study used CRITIC-entropy weights-TOPSIS model to evaluate 16 water and nitrogen regulation models comprehensively. The results revealed the following: (1) The NO<sub>3</sub>
<sup>&#x2212;</sup>&#x2013;N content of the soil decreased with increasing horizontal distance from the wolfberry. It initially decreased, then increased, and finally decreased with an increase in soil depth. The average NO<sub>3</sub>
<sup>&#x2212;</sup>&#x2013;N content in the 0&#x2013;100 cm soil layer ranged from 3.95&#x2013;13.29 mg&#xb7;kg<sup>&#x2212;1</sup>, indicating that W0 &gt; W1, W2, W3, and N3 &gt; N2 &gt; N1 &gt; N0. (2) The soil NO<sub>3</sub>
<sup>&#x2212;</sup>&#x2013;N accumulation ranged from 64.45&#x2013;215.27 kg&#xb7;ha<sup>&#x2212;1</sup> under varying water and nitrogen levels, demonstrating a decreasing trend with increasing horizontal distance. The NO<sub>3</sub>
<sup>&#x2212;</sup>&#x2013;N accumulation at each horizontal distance increased with increasing irrigation and nitrogen application. The NO<sub>3</sub>
<sup>&#x2212;</sup>&#x2013;N accumulation of W0N3 treatment increased by 5.55%&#x2013;57.60% compared with the other treatments. (3) The total nitrogen content and nitrogen uptake in all wolfberry organs were W1 &gt; W0 &gt; W2 &gt; W3, and N2 &gt; N3 &gt; N1 &gt; N0. The maximum total nitrogen content and nitrogen uptake in W1N2 treatment were 3.25% and 27.82 kg&#xb7;ha<sup>&#x2212;1</sup> in the roots, 3.30% and 57.19 kg&#xb7;ha<sup>&#x2212;1</sup> in the stems, 3.91% and 11.88 kg&#xb7;ha<sup>&#x2212;1</sup> in the leaves, and 2.42% and 63.56 kg&#xb7;ha<sup>&#x2212;1</sup> in the fruits, respectively. (4) The emission flux and total emission of N<sub>2</sub>O increased with increasing irrigation and nitrogen application. The emission flux exhibited a transient peak (116.39&#x2013;177.91 ug&#xb7;m<sup>&#x2212;2</sup>&#xb7;h<sup>&#x2212;1</sup>) after irrigation. The intensity of N<sub>2</sub>O emissions initially decreased and then increased with an increase in the irrigation amount. It also initially increased with increasing nitrogen application amount, then decreased, and finally increased again. The maximum emission intensity was observed under the W3N3 treatment (0.23 kg&#xb7;kg<sup>&#x2212;1</sup>). The N<sub>2</sub>O emission coefficients ranged from 0.17%&#x2013;0.39%, in the order of W0 &gt; W1 &gt; W2 &gt; W3 (except for N1) and N1 &gt; N2 &gt; N3. (5) Under varying water and nitrogen concentrations, N<sub>2</sub>O emission flux showed a positive linear correlation with soil pore water content and NO<sub>3</sub>
<sup>&#x2212;</sup>&#x2013;N content and a negative linear correlation with soil temperature. The comprehensive evaluation revealed that a slight water deficit (65%&#x2013;75% &#x3b8;<sub>f</sub>) combined with medium nitrogen application (300 kg&#xb7;ha<sup>&#x2212;1</sup>) decreased soil NO<sub>3</sub>
<sup>&#x2212;</sup>&#x2013;N leaching, increased nitrogen uptake, and reduced N<sub>2</sub>O emission. These findings can serve as a reference for improving the efficiency and reducing emissions of wolfberry in the Yellow River irrigation region of Gansu Province and in similar climate zones.</p>
</abstract>
<kwd-group>
<kwd>water and nitrogen regulation</kwd>
<kwd>soil NO<sub>3</sub>
<sup>&#x2212;</sup>&#x2013;N</kwd>
<kwd>nitrogen uptake</kwd>
<kwd>N<sub>2</sub>O emission</kwd>
<kwd>CRITIC-entropy weights-TOPSIS model</kwd>
<kwd>wolfberry</kwd>
</kwd-group>
<counts>
<fig-count count="9"/>
<table-count count="4"/>
<equation-count count="20"/>
<ref-count count="62"/>
<page-count count="16"/>
<word-count count="9339"/>
</counts>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-in-acceptance</meta-name>
<meta-value>Crop and Product Physiology</meta-value>
</custom-meta>
</custom-meta-wrap>
</article-meta>
</front>
<body>
<sec id="s1" sec-type="intro">
<label>1</label>
<title>Introduction</title>
<p>The evolutionary relationship between crop growth and water and fertilizer management has a significant impact on agricultural production potential, the improvement of water and fertilizer utilization efficiency, and the prevention and control of non-point source pollution in agricultural. This has long-standing concern agricultural science (<xref ref-type="bibr" rid="B22">Ju et&#xa0;al., 2016</xref>). However, influenced by the traditional idea that high water and fertilizer usage leads to increased yields, farmers often tend to over-invest in these resources, ignoring the laws governing crop water and fertilizer demand. This results in the inadequate utilization of water and fertilizer resources and exacerbates serious agricultural non-point source pollution (<xref ref-type="bibr" rid="B53">Xing et&#xa0;al., 2021</xref>). This is inconsistent with China&#x2019;s major strategic deployments such as the &#x201c;one control, two reduction and three basic&#x201d; requirements proposed in 2020, the zero growth in the use of fertilizers and pesticides and the effective utilization coefficient of irrigation water reaching 0.6 by 2030, and the &#x201c;dual carbon&#x201d; goal (<xref ref-type="bibr" rid="B49">Wang et&#xa0;al., 2022</xref>). Therefore, to further alleviate the contradiction between the water and fertilizer supply and demand and improve the soil environment, it is important to investigate farmland management strategies that involve &#x201c;promoting fertilizer with water and transferring water with fertilizer&#x201d; to promote the green and high-quality development of agricultural production.</p>
<p>Water and nitrogen play important roles in regulating crop growth and development, soil nitrogen leaching, and greenhouse gas emissions (<xref ref-type="bibr" rid="B47">Wang et&#xa0;al., 2018a</xref>). Water infiltration and redistribution can indirectly affect soil nutrient availability by affecting litter decomposition and element mineralization processes (<xref ref-type="bibr" rid="B27">Liu et&#xa0;al., 2006</xref>), ultimately enhancing soil fertility and plant nutrient absorption. Nitrogen addition can increase soil available nitrogen content and enhance plant nitrogen absorption. However, this can lead to residue problems in the soil, increasing the substrate concentration of soil microbial nitrification-denitrification, and resulting in higher soil N<sub>2</sub>O emissions (<xref ref-type="bibr" rid="B39">Song et&#xa0;al., 2013</xref>). In addition, the supply of water and nitrogen is not directly proportional to crop nitrogen absorption, soil inorganic nitrogen residues, or greenhouse gas emissions. On the one hand, if the water and nitrogen supply are lower than the crop absorption threshold, crop production potential will be restricted, and water and fertilizer utilization efficiency will be reduced (<xref ref-type="bibr" rid="B26">Liao et&#xa0;al., 2021</xref>). On the other hand, excessive water and nitrogen cause ecological and environmental problems, such as groundwater pollution, soil acidification, and nitrogen deposition (<xref ref-type="bibr" rid="B54">Yan et&#xa0;al., 2016</xref>; <xref ref-type="bibr" rid="B9">Chen et&#xa0;al., 2020</xref>). In context of soil-plant nitrogen transport, well-designed irrigation and fertilization strategies can minimize soil NO<sub>3</sub>
<sup>&#x2212;</sup>&#x2013;N leaching and accumulation while enhancing crop nitrogen absorption (<xref ref-type="bibr" rid="B1">Azad et&#xa0;al., 2020</xref>). Water-saving and nitrogen-reduction measures significantly reduce soil NO<sub>3</sub>
<sup>&#x2212;</sup>&#x2013;N leaching compared with high water and high nitrogen and increase plant biomass and nitrogen uptake (<xref ref-type="bibr" rid="B10">Cong et&#xa0;al., 2021</xref>; <xref ref-type="bibr" rid="B33">Mohkum et&#xa0;al., 2023</xref>). Irrigation with 120 mm of water coupled with nitrogen application of 180 kg&#xb7;ha<sup>&#x2212;1</sup> can increase nitrogen content in the stems and leaves as well as promote nitrogen uptake by summer cotton plants, maximizing the total aboveground nitrogen uptake of summer cotton (<xref ref-type="bibr" rid="B38">Si et&#xa0;al., 2017</xref>). In terms of soil N<sub>2</sub>O emissions, the N<sub>2</sub>O emissions are significantly affected by water and nitrogen. In winter wheat-spring maize rotation, N<sub>2</sub>O emissions increase with increasing irrigation water and nitrogen application (<xref ref-type="bibr" rid="B24">Li et&#xa0;al., 2016</xref>). However, in the facility vegetable land, a combination of medium water (irrigation of 204.6 mm) and low nitrogen (nitrogen application of 75 kg&#xb7;ha<sup>&#x2212;1</sup>) compared with high water and high nitrogen (irrigation of 239.9 mm, nitrogen application of 525 kg&#xb7;ha<sup>&#x2212;1</sup>) can effectively mitigate reduce greenhouse effects and reduce the total amount of N<sub>2</sub>O emissions (<xref ref-type="bibr" rid="B16">Du et&#xa0;al., 2019</xref>). Irrigation of sugarcane fields with 80%&#x2013;90% &#x3b8;<sub>f</sub> combined with nitrogen application of 250 kg&#xb7;ha<sup>&#x2212;1</sup> can significantly reduce soil N<sub>2</sub>O emission flux (<xref ref-type="bibr" rid="B8">Chen et&#xa0;al., 2023</xref>). In summary, optimizing the allocation of water and nitrogen can enhance crop nitrogen accumulation, transport, and utilization, thereby effectively improving regional ecological conditions (<xref ref-type="bibr" rid="B2">Bai et&#xa0;al., 2018</xref>; <xref ref-type="bibr" rid="B23">Li et&#xa0;al., 2015</xref>).</p>
<p>The Yellow River irrigation region of Gansu Province is located in and arid to semi-arid inland area of northwest China. It is an important and comprehensive agricultural commodity production base in Gansu Province, with abundant light and heat resources and a significant temperature difference between day and night (<xref ref-type="bibr" rid="B55">Yang et&#xa0;al., 2019</xref>). However, the area is characterized by scarce precipitation, water scarcity, and severe secondary soil salinization (<xref ref-type="bibr" rid="B59">Zhao et&#xa0;al., 2019</xref>). Wolfberry (<italic>Lycium barbarum</italic> L.) is a deciduous shrub with a well-developed root system and strong resistance to cold. It has significant effects on windbreak and sand fixation, soil and water conservation, and the improvement of saline-alkaline land improvement (<xref ref-type="bibr" rid="B13">Danial et&#xa0;al., 2022</xref>). It is widely planted in the Yellow River irrigation area of Gansu Province. Previous studies on nitrogen transport have mostly focused on food crops (<xref ref-type="bibr" rid="B31">Mahdi et&#xa0;al., 2009</xref>; <xref ref-type="bibr" rid="B32">Mario et&#xa0;al., 2017</xref>; <xref ref-type="bibr" rid="B48">Wang et&#xa0;al., 2018b</xref>) and cash crops (<xref ref-type="bibr" rid="B38">Si et&#xa0;al., 2017</xref>; <xref ref-type="bibr" rid="B16">Du et&#xa0;al., 2019</xref>; <xref ref-type="bibr" rid="B8">Chen et&#xa0;al., 2023</xref>). However, there is a lack of research on economically important forest plants, such as wolfberry. In particular, research on the systematic comparison of nitrogen transport and distribution between soil, wolfberry, and the atmosphere under different water and nitrogen regulations is still rare. In view of this, this study aimed to (1) systematically analyze the distribution and accumulation of soil NO<sub>3</sub>
<sup>&#x2212;</sup>&#x2013;N under different water and nitrogen supplies, the nitrogen distribution and absorption of wolfberry, and the characteristics and influencing factors of soil N<sub>2</sub>O emissions; (2) comprehensively evaluate different water and nitrogen treatments using the CRITIC-entropy weights-TOPSIS model; and (3) explore water-saving and nitrogen-reducing, water-fertilizer coupling, and environmentally friendly water and nitrogen management modes for wolfberry. This study provides a reference for the efficiency and emission reduction of wolfberry production in the Yellow River irrigation region of Gansu Province and similar arid climate areas.</p>
</sec>
<sec id="s2" sec-type="materials|methods">
<label>2</label>
<title>Materials and methods</title>
<sec id="s2_1">
<label>2.1</label>
<title>Description of the experimental site</title>
<p>The experiment was conducted at the Irrigation Experimental Station (37&#xb0;23&#x2032;N, 104&#xb0;08&#x2032;E) of the Jingtaichuan Electric Power Irrigation Water Resource Utilization Center in Gansu Province from July to September 2022. This region has a temperate continental arid climate characterized by intense sunshine, infrequent rainfall, and a dry climate. The annual average sunshine duration, frost-free period, radiation amount, temperature, precipitation, and evaporation are 2652 hours, 191 days, 6.18 &#xd7;10<sup>5</sup> J&#xb7;cm<sup>&#x2212;2</sup>, 8.6&#xb0;C, 201.6 mm, and 3028 mm, respectively. The soil texture at the experimental site was loam, and the dry bulk density of the soil was 1.63 g&#xb7;cm<sup>&#x2212;3</sup>. The field water capacity was 24.1% (mass water content), and the pH was 8.11. Groundwater depth was &gt; 40 m. The initial soil properties of the study site were as follows: total nitrogen 1.62 g&#xb7;kg<sup>&#x2212;1</sup>, total phosphorus 1.32 g&#xb7;kg<sup>&#x2212;1</sup>, total potassium 34.03 g&#xb7;kg<sup>&#x2212;1</sup>, available nitrogen 74.51 mg&#xb7;kg<sup>&#x2212;1</sup>, available phosphorus 26.31 mg&#xb7;kg<sup>&#x2212;1</sup>, available potassium 173 mg&#xb7;kg<sup>&#x2212;1</sup>, and alkali-hydrolyzed nitrogen 55.2 mg&#xb7;kg<sup>&#x2212;1</sup> in the 0&#x2013;60 cm soil layer. Meteorological data were collected by a small intelligent agrometeorological station installed at the experimental station. The total amount of precipitation, daily maximum temperature and daily minimum temperature during the experiment were 77.01 mm, 35.07&#xb0;C and 8.71&#xb0;C, respectively (<xref ref-type="fig" rid="f1">
<bold>Figure&#xa0;1</bold>
</xref>).</p>
<fig id="f1" position="float">
<label>Figure&#xa0;1</label>
<caption>
<p>Daily distribution of precipitation and temperature during the experiment.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fpls-15-1385980-g001.tif"/>
</fig>
</sec>
<sec id="s2_2">
<label>2.2</label>
<title>Experimental design and field management</title>
<p>The selected wolfberry (Ningqi No.5) was a two-year-old seedling transplanted on 12 April 2021, with a plant spacing of 1.5 m and row spacing of 3.0 m. Based on local production practices and previous studies (<xref ref-type="bibr" rid="B42">Tian et&#xa0;al., 2023</xref>), the experiment utilized a completely randomized block design, with irrigation and nitrogen application levels as two factors. Among them, the irrigation levels [the upper and lower limits of irrigation were set to control the percentage of soil volumetric moisture content to field water capacity (&#x3b8;<sub>f</sub>), and the planned depth of humid layer was 60 cm] included 75%&#x2013;85% &#x3b8;<sub>f</sub> (W0, full irrigation), 65%&#x2013;75% &#x3b8;<sub>f</sub> (W1, slight water deficit), 55%&#x2013;65% &#x3b8;<sub>f</sub> (W2, moderate water deficit) and 45%&#x2013;55% &#x3b8;<sub>f</sub> (W3, severe water deficit). The nitrogen application (pure nitrogen) levels included 0 kg&#xb7;ha<sup>&#x2212;1</sup> (N0, no nitrogen application), 150 kg&#xb7;ha<sup>&#x2212;1</sup> (N1, low nitrogen application), 300 kg&#xb7;ha<sup>&#x2212;1</sup> (N2, medium nitrogen application), and 450 kg&#xb7;ha<sup>&#x2212;1</sup> (N3, high nitrogen application) (<xref ref-type="table" rid="T1">
<bold>Table&#xa0;1</bold>
</xref>). Thus, there were 16 treatments in total, with each treatment repeated three times. The residential area measures 76.5 m<sup>2</sup> (10.2 m &#xd7; 7.5 m). Drip irrigation was then applied. Valves and water meters (with an accuracy of 0.0001 m<sup>3</sup>) were independently installed in the water-delivery pipes of each district to regulate the amount of irrigation effectively. The spacing of the drip irrigation belt layout was 0.3 m, the designed flow rate of the drip head was 2.0 L&#xb7;h<sup>&#x2212;1</sup>, and the spacing of the drip head was 0.3 m. The irrigation process during the wolfberry growth is illustrated in <xref ref-type="fig" rid="f2">
<bold>Figure&#xa0;2</bold>
</xref>. The main growth period of wolfberry in 2022 was divided into four stages: the vegetative growth period (26 April to 28 May), the full flowering period (29 May to 30 June), the full fruit period (1 July to 14 August) and the autumn fruit period (15 August to 10 September). In growing season, nitrogen fertilizer (urea and nitrogen content 46%) according to 6:2:2 was applied during the vegetative growth period (21 May), the full flowering period (7 June), and the full fruit period (4 July). Phosphate (superphosphate, with a phosphorus content of 12%) and potassium (potassium chloride, with a potassium content of 60%) at a rate of 130 kg&#xb7;ha<sup>&#x2212;1</sup> were applied as the base fertilizer in a single application during the vegetative growth period on 21 May. Field management includes pest control and other measures consistent with those of local growers.</p>
<table-wrap id="T1" position="float">
<label>Table&#xa0;1</label>
<caption>
<p>Experimental design.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" align="center">Treatment</th>
<th valign="middle" align="center">Nitrogen application level (kg&#xb7;ha<sup>&#x2212;1</sup>)</th>
<th valign="middle" colspan="2" align="center">Irrigation level (% &#x3b8;<sub>f</sub>)</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="middle" align="center">W0N0</td>
<td valign="middle" align="center">0</td>
<td valign="middle" rowspan="4" align="center">Full irrigation</td>
<td valign="middle" rowspan="4" align="center">75~85</td>
</tr>
<tr>
<td valign="middle" align="center">W0N1</td>
<td valign="middle" align="center">150</td>
</tr>
<tr>
<td valign="middle" align="center">W0N2</td>
<td valign="middle" align="center">300</td>
</tr>
<tr>
<td valign="middle" align="center">W0N3</td>
<td valign="middle" align="center">450</td>
</tr>
<tr>
<td valign="middle" align="center">W1N0</td>
<td valign="middle" align="center">0</td>
<td valign="middle" rowspan="4" align="center">Slight water deficit</td>
<td valign="middle" rowspan="4" align="center">65~75</td>
</tr>
<tr>
<td valign="middle" align="center">W1N1</td>
<td valign="middle" align="center">150</td>
</tr>
<tr>
<td valign="middle" align="center">W1N2</td>
<td valign="middle" align="center">300</td>
</tr>
<tr>
<td valign="middle" align="center">W1N3</td>
<td valign="middle" align="center">450</td>
</tr>
<tr>
<td valign="middle" align="center">W2N0</td>
<td valign="middle" align="center">0</td>
<td valign="middle" rowspan="4" align="center">Moderate water deficit</td>
<td valign="middle" rowspan="4" align="center">55~65</td>
</tr>
<tr>
<td valign="middle" align="center">W2N1</td>
<td valign="middle" align="center">150</td>
</tr>
<tr>
<td valign="middle" align="center">W2N2</td>
<td valign="middle" align="center">300</td>
</tr>
<tr>
<td valign="middle" align="center">W2N3</td>
<td valign="middle" align="center">450</td>
</tr>
<tr>
<td valign="middle" align="center">W3N0</td>
<td valign="middle" align="center">0</td>
<td valign="middle" rowspan="4" align="center">Severe water deficit</td>
<td valign="middle" rowspan="4" align="center">45~55</td>
</tr>
<tr>
<td valign="middle" align="center">W3N1</td>
<td valign="middle" align="center">150</td>
</tr>
<tr>
<td valign="middle" align="center">W3N2</td>
<td valign="middle" align="center">300</td>
</tr>
<tr>
<td valign="middle" align="center">W3N3</td>
<td valign="middle" align="center">450</td>
</tr>
</tbody>
</table>
</table-wrap>
<fig id="f2" position="float">
<label>Figure&#xa0;2</label>
<caption>
<p>Irrigation process of each treatment during the growth of wolfberry.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fpls-15-1385980-g002.tif"/>
</fig>
</sec>
<sec id="s2_3">
<label>2.3</label>
<title>Indicators and methods for measurement</title>
<sec id="s2_3_1">
<label>2.3.1</label>
<title>Soil nitrate-nitrogen content (NO<sub>3</sub>
<sup>&#x2212;</sup>&#x2013;N, mg&#xb7;kg<sup>&#x2212;1</sup>)</title>
<p>At the end of the autumn fruit period of wolfberry, soil samples were collected using the soil drilling method. Samples were collected at 10 cm intervals from depths ranging from 0&#x2013;100 cm. The collection points were located at the distances of 0.3 m, 0.6 m, 0.9 m, 1.2 m, and 1.5 m from the trunk of the wolfberry in the center of the plot. After air-drying, the soil sample was sieved through a 2 mm screen and then extracted with a 2 mol&#xb7;L<sup>&#x2212;1</sup> KCl solution at a mass ratio of 1:10 (5 g of dry soil to liquid). The concentration of NO<sub>3</sub>
<sup>&#x2212;</sup>&#x2013;N in the soil was subsequently measured using a UV-visible spectrophotometer (Beijing Puxi General Instrument Co., Ltd., T6 New Century) (<xref ref-type="bibr" rid="B46">Wang et&#xa0;al., 2023</xref>).</p>
<p>Accumulation of soil nitrate-nitrogen (<italic>NR</italic>, kg&#xb7;ha<sup>&#x2212;1</sup>) (<xref ref-type="bibr" rid="B4">Cambouris et&#xa0;al., 2008</xref>):</p>
<disp-formula id="eq1">
<label>(1)</label>
<mml:math display="block" id="M1">
<mml:mrow>
<mml:mi>N</mml:mi>
<mml:mi>R</mml:mi>
<mml:mo>=</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b3;</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mi>h</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mi>N</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
<mml:mn>/10</mml:mn>
</mml:mrow>
</mml:math>
</disp-formula>
<p>where <inline-formula>
<mml:math display="inline" id="im1">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b3;</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the bulk density of the soil of layer <italic>i</italic> (g&#xb7;cm<sup>&#x2212;3</sup>), <inline-formula>
<mml:math display="inline" id="im2">
<mml:mrow>
<mml:msub>
<mml:mi>h</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the soil thickness of layer <italic>i</italic> (cm), and <inline-formula>
<mml:math display="inline" id="im3">
<mml:mrow>
<mml:msub>
<mml:mi>N</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the nitrate nitrogen content of the soil in layer <italic>i</italic> (mg&#xb7;kg<sup>&#x2212;1</sup>).</p>
</sec>
<sec id="s2_3_2">
<label>2.3.2</label>
<title>Total nitrogen content of wolfberry</title>
<p>Three representative wolfberry plants were selected from each plot for sampling during the harvest period (full fruit period and autumn fruit period). Plant samples were collected and separated into organs. They were then heated at 105 &#xb0;C for 30 min, dried at 75 &#xb0;C until reaching a constant weight (kg&#xb7;ha<sup>&#x2212;1</sup>), crushed, sifted through a 0.5 mm sieve, and subsequently treated with H<sub>2</sub>SO<sub>4</sub>-H<sub>2</sub>O<sub>2</sub>. The total nitrogen content of wolfberry plants was measured using the Kelley nitrogen determination method (<xref ref-type="bibr" rid="B51">Wu et&#xa0;al., 2023</xref>).</p>
<p>Organ nitrogen uptake of wolfberry plant (<italic>N<sub>u</sub>
</italic>, kg&#xb7;ha<sup>&#x2212;1</sup>):</p>
<disp-formula id="eq2">
<label>(2)</label>
<mml:math display="block" id="M2">
<mml:mrow>
<mml:msub>
<mml:mi>N</mml:mi>
<mml:mi>u</mml:mi>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:msub>
<mml:mi>N</mml:mi>
<mml:mi>q</mml:mi>
</mml:msub>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>W</mml:mi>
</mml:mrow>
</mml:math>
</disp-formula>
<p>where <italic>N<sub>q</sub>
</italic> represents the total nitrogen content in an organ of the wolfberry plant (%), and <italic>W</italic> is the dry weight of an organ of the wolfberry plant (kg&#xb7;ha<sup>&#x2212;1</sup>).</p>
</sec>
<sec id="s2_3_3">
<label>2.3.3</label>
<title>Wolfberry yield</title>
<p>After ripening, wolfberries were harvested every seven days based on the plot, naturally dried, weighed, and then converted to yield per unit area (kg&#xb7;ha<sup>&#x2212;1</sup>) according to the plot area.</p>
</sec>
<sec id="s2_3_4">
<label>2.3.4</label>
<title>Nitrous oxide emissions</title>
<p>Nitrous oxide gas (N<sub>2</sub>O) was collected and measured during the wolfberry harvest period using a closed static camera obscuru gas chromatography (<xref ref-type="bibr" rid="B52">Wu et&#xa0;al., 2022a</xref>).</p>
</sec>
<sec id="s2_3_5">
<label>2.3.5</label>
<title>Environmental factors</title>
<p>(1) Soil moisture content</p>
<p>Each time N<sub>2</sub>O was collected, soil samples were collected from the topsoil layer (0&#x2013;15 cm) at multiple points in each plot, and soil moisture content was determined using the drying method (105&#xb0;C for 12 hours) after thorough mixing (%).</p>
<p>Water-filled pore water content of soil (<italic>WFPS</italic>, %) (<xref ref-type="bibr" rid="B20">Hou&#xa0;et&#xa0;al.,&#xa0;2016</xref>):</p>
<disp-formula id="eq3">
<label>(3)</label>
<mml:math display="block" id="M3">
<mml:mrow>
<mml:mi>W</mml:mi>
<mml:mi>F</mml:mi>
<mml:mi>P</mml:mi>
<mml:mi>S</mml:mi>
<mml:mtext>&#xa0;</mml:mtext>
<mml:mo>=</mml:mo>
<mml:mi>&#x3b8;</mml:mi>
<mml:mo>&#xd7;</mml:mo>
<mml:mtext>&#xa0;</mml:mtext>
<mml:mo stretchy="false">(</mml:mo>
<mml:mn>1</mml:mn>
<mml:mtext>&#xa0;</mml:mtext>
<mml:mo>&#x2013;</mml:mo>
<mml:mi>&#x3b3;</mml:mi>
<mml:mo stretchy="false">/</mml:mo>
<mml:mn>2.65</mml:mn>
<mml:mo stretchy="false">)</mml:mo>
<mml:mtext>&#xa0;</mml:mtext>
<mml:mo>&#xd7;</mml:mo>
<mml:mtext>&#xa0;</mml:mtext>
<mml:mn>100</mml:mn>
<mml:mo>%</mml:mo>
</mml:mrow>
</mml:math>
</disp-formula>
<p>where <italic>&#x3b8;</italic> is the volumetric water content of the 0&#x2013;15 cm soil layer (%), <italic>&#x3b3;</italic> is the soil bulk weight (g&#xb7;cm<sup>&#x2212;3</sup>).</p>
<p>(2) Soil temperature</p>
<p>Each time N<sub>2</sub>O was collected, the soil temperature at a depth of 15 cm was measured next to the camera obscurum base (&#xb0;C, right-angle geothermometer).</p>
</sec>
<sec id="s2_3_6">
<label>2.3.6</label>
<title>Relevant calculation formula</title>
<p>(1) N<sub>2</sub>O emission flux (<italic>F</italic>, ug&#xb7;m<sup>&#x2212;2</sup>&#xb7;h<sup>&#x2212;1</sup>) (<xref ref-type="bibr" rid="B29">Lu et&#xa0;al., 2022</xref>):</p>
<disp-formula id="eq4">
<label>(4)</label>
<mml:math display="block" id="M4">
<mml:mrow>
<mml:mi>F</mml:mi>
<mml:mo>=</mml:mo>
<mml:mi>&#x3c1;</mml:mi>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>H</mml:mi>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>d</mml:mi>
<mml:mi>c</mml:mi>
<mml:mo stretchy="false">/</mml:mo>
<mml:mi>d</mml:mi>
<mml:mi>t</mml:mi>
<mml:mo>&#xd7;</mml:mo>
<mml:mn>273</mml:mn>
<mml:mo stretchy="false">/</mml:mo>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mn>273</mml:mn>
<mml:mo>+</mml:mo>
<mml:mi>T</mml:mi>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mo>&#xd7;</mml:mo>
<mml:mn>60</mml:mn>
</mml:mrow>
</mml:math>
</disp-formula>
<p>where <italic>&#x3c1;</italic> is the density of N<sub>2</sub>O gas in the standard state (<italic>&#x3c1;</italic> = 2 &#xd7; 14/22.4 = 1.25) (kg&#xb7;m<sup>&#x2212;3</sup>), <italic>H</italic> is the height of the box (m), <italic>dc/dt</italic> is the rate of change of the N<sub>2</sub>O concentration in the box with time during the sampling process (ul&#xb7;L<sup>&#x2212;1</sup>&#xb7;min<sup>&#x2212;1</sup>), and <italic>T</italic> is the average temperature inside the gas collection box during the sampling process (&#xb0;C).</p>
<p>(2) Total N<sub>2</sub>O emission (<italic>f</italic>, kg&#xb7;ha<sup>&#x2212;1</sup>) (<xref ref-type="bibr" rid="B18">Gao et&#xa0;al., 2013</xref>):</p>
<disp-formula id="eq5">
<label>(5)</label>
<mml:math display="block" id="M5">
<mml:mrow>
<mml:mi>F</mml:mi>
<mml:mo>=</mml:mo>
<mml:mstyle displaystyle="true">
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mrow>
<mml:mo stretchy="false">[</mml:mo>
<mml:mrow>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mi>F</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>+</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mi>F</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mo stretchy="false">/</mml:mo>
<mml:mn>2</mml:mn>
<mml:mtext>&#xa0;</mml:mtext>
</mml:mrow>
<mml:mo stretchy="false">]</mml:mo>
</mml:mrow>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>t</mml:mi>
<mml:mo>&#xd7;</mml:mo>
<mml:mn>24</mml:mn>
<mml:mo stretchy="false">/</mml:mo>
<mml:msup>
<mml:mrow>
<mml:mn>10</mml:mn>
</mml:mrow>
<mml:mn>5</mml:mn>
</mml:msup>
</mml:mrow>
</mml:mstyle>
</mml:mrow>
</mml:math>
</disp-formula>
<p>where <italic>i</italic> is the number of samples, <italic>t</italic> is the number of days between the <italic>i</italic> sampling time and the <italic>i+</italic>1 sampling time (d).</p>
<p>(3) N<sub>2</sub>O emission intensity (<italic>GHGI</italic>, kg&#xb7;kg<sup>&#x2212;1</sup>) (<xref ref-type="bibr" rid="B6">Cao et&#xa0;al., 2022</xref>):</p>
<disp-formula id="eq6">
<label>(6)</label>
<mml:math display="block" id="M6">
<mml:mrow>
<mml:mi>G</mml:mi>
<mml:mi>W</mml:mi>
<mml:mi>P</mml:mi>
<mml:mo>=</mml:mo>
<mml:mi>f</mml:mi>
<mml:mo>&#xd7;</mml:mo>
<mml:mn>298</mml:mn>
</mml:mrow>
</mml:math>
</disp-formula>
<disp-formula id="eq7">
<label>(7)</label>
<mml:math display="block" id="M7">
<mml:mrow>
<mml:mi>G</mml:mi>
<mml:mi>H</mml:mi>
<mml:mi>G</mml:mi>
<mml:mi>I</mml:mi>
<mml:mo>=</mml:mo>
<mml:mi>G</mml:mi>
<mml:mi>W</mml:mi>
<mml:mi>P</mml:mi>
<mml:mo stretchy="false">/</mml:mo>
<mml:mi>Y</mml:mi>
</mml:mrow>
</mml:math>
</disp-formula>
<p>where <italic>GWP</italic> is the global warming potential of N<sub>2</sub>O (kg&#xb7;ha<sup>&#x2212;1</sup>), <italic>f</italic> is the total N<sub>2</sub>O emissions (kg&#xb7;ha<sup>&#x2212;1</sup>), and <italic>Y</italic> is the wolfberry yield (kg&#xb7;ha<sup>&#x2212;1</sup>).</p>
<p>(4) N<sub>2</sub>O emission coefficient (<italic>EF</italic>, %) (<xref ref-type="bibr" rid="B3">Burton et&#xa0;al., 2008</xref>):</p>
<disp-formula id="eq8">
<label>(8)</label>
<mml:math display="block" id="M8">
<mml:mrow>
<mml:mi>E</mml:mi>
<mml:mi>F</mml:mi>
<mml:mo>=</mml:mo>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mi>f</mml:mi>
<mml:mi>N</mml:mi>
</mml:msub>
<mml:mo>&#x2013;</mml:mo>
<mml:msub>
<mml:mi>f</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mo stretchy="false">/</mml:mo>
<mml:mi>F</mml:mi>
<mml:mo>&#xd7;</mml:mo>
<mml:mn>100</mml:mn>
<mml:mo>%</mml:mo>
</mml:mrow>
</mml:math>
</disp-formula>
<p>where <italic>f<sub>N</sub>
</italic> is the total N<sub>2</sub>O emissions from the nitrogen application treatment (kg&#xb7;ha<sup>&#x2212;1</sup>), <italic>f</italic>
<sub>0</sub> is the total N<sub>2</sub>O emissions from the treatment without nitrogen application (kg&#xb7;ha<sup>&#x2212;1</sup>), and <italic>F</italic> is the amount of nitrogen applied (kg&#xb7;ha<sup>&#x2212;1</sup>).</p>
</sec>
<sec id="s2_3_7">
<label>2.3.7</label>
<title>CRITIC-entropy weights-TOPSIS model</title>
<p>(1) Consistency of indicator types (<xref ref-type="bibr" rid="B56">Ye et&#xa0;al., 2017</xref>; <xref ref-type="bibr" rid="B62">Zhou et&#xa0;al., 2023</xref>): Etremely large and small indicators:</p>
<disp-formula id="eq9">
<label>(9)</label>
<mml:math display="block" id="M9">
<mml:mrow>
<mml:msubsup>
<mml:mi>x</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>j</mml:mi>
</mml:mrow>
<mml:mn>1</mml:mn>
</mml:msubsup>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mn>1</mml:mn>
<mml:mrow>
<mml:msub>
<mml:mi>x</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
</disp-formula>
<p>Centering indicators:</p>
<disp-formula id="eq10">
<label>(10)</label>
<mml:math display="block" id="M10">
<mml:mrow>
<mml:msubsup>
<mml:mi>x</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>j</mml:mi>
</mml:mrow>
<mml:mn>1</mml:mn>
</mml:msubsup>
<mml:mo>=</mml:mo>
<mml:mrow>
<mml:mo>{</mml:mo>
<mml:mtable columnalign="left">
<mml:mtr>
<mml:mtd>
<mml:mn>2</mml:mn>
<mml:mo stretchy="false">(</mml:mo>
<mml:msub>
<mml:mi>x</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:munder>
<mml:mrow>
<mml:mi>min</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mo>&#x2264;</mml:mo>
<mml:mi>i</mml:mi>
<mml:mo>&#x2264;</mml:mo>
<mml:mi>m</mml:mi>
</mml:mrow>
</mml:munder>
<mml:mo stretchy="false">(</mml:mo>
<mml:msub>
<mml:mi>x</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo stretchy="false">)</mml:mo>
<mml:mo stretchy="false">)</mml:mo>
<mml:mo>,</mml:mo>
<mml:munder>
<mml:mrow>
<mml:mi>min</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mo>&#x2264;</mml:mo>
<mml:mi>i</mml:mi>
<mml:mo>&#x2264;</mml:mo>
<mml:mi>m</mml:mi>
</mml:mrow>
</mml:munder>
<mml:mo stretchy="false">(</mml:mo>
<mml:msub>
<mml:mi>x</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo stretchy="false">)</mml:mo>
<mml:mo>&#x2264;</mml:mo>
<mml:msub>
<mml:mi>x</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2264;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:munder>
<mml:mrow>
<mml:mi>max</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mo>&#x2264;</mml:mo>
<mml:mi>i</mml:mi>
<mml:mo>&#x2264;</mml:mo>
<mml:mi>m</mml:mi>
</mml:mrow>
</mml:munder>
<mml:mo stretchy="false">(</mml:mo>
<mml:msub>
<mml:mi>x</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo stretchy="false">)</mml:mo>
<mml:mo>+</mml:mo>
<mml:munder>
<mml:mrow>
<mml:mi>min</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mo>&#x2264;</mml:mo>
<mml:mi>i</mml:mi>
<mml:mo>&#x2264;</mml:mo>
<mml:mi>m</mml:mi>
</mml:mrow>
</mml:munder>
<mml:mo stretchy="false">(</mml:mo>
<mml:msub>
<mml:mi>x</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:mfrac>
</mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd>
<mml:mn>2</mml:mn>
<mml:mo stretchy="false">(</mml:mo>
<mml:munder>
<mml:mrow>
<mml:mtext>max</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mo>&#x2264;</mml:mo>
<mml:mi>i</mml:mi>
<mml:mo>&#x2264;</mml:mo>
<mml:mi>m</mml:mi>
</mml:mrow>
</mml:munder>
<mml:mo stretchy="false">(</mml:mo>
<mml:msub>
<mml:mi>x</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo stretchy="false">)</mml:mo>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>x</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo stretchy="false">)</mml:mo>
<mml:mo>,</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:munder>
<mml:mrow>
<mml:mi>max</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mo>&#x2264;</mml:mo>
<mml:mi>i</mml:mi>
<mml:mo>&#x2264;</mml:mo>
<mml:mi>m</mml:mi>
</mml:mrow>
</mml:munder>
<mml:mo stretchy="false">(</mml:mo>
<mml:msub>
<mml:mi>x</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo stretchy="false">)</mml:mo>
<mml:mo>+</mml:mo>
<mml:munder>
<mml:mrow>
<mml:mi>min</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mo>&#x2264;</mml:mo>
<mml:mi>i</mml:mi>
<mml:mo>&#x2264;</mml:mo>
<mml:mi>m</mml:mi>
</mml:mrow>
</mml:munder>
<mml:mo stretchy="false">(</mml:mo>
<mml:msub>
<mml:mi>x</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:mfrac>
<mml:mo>&#x2264;</mml:mo>
<mml:msub>
<mml:mi>x</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2264;</mml:mo>
<mml:munder>
<mml:mrow>
<mml:mi>max</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mo>&#x2264;</mml:mo>
<mml:mi>i</mml:mi>
<mml:mo>&#x2264;</mml:mo>
<mml:mi>m</mml:mi>
</mml:mrow>
</mml:munder>
<mml:mo stretchy="false">(</mml:mo>
<mml:msub>
<mml:mi>x</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo stretchy="false">)</mml:mo>
</mml:mtd>
</mml:mtr>
</mml:mtable>
</mml:mrow>
</mml:mrow>
</mml:math>
</disp-formula>
<p>Where <inline-formula>
<mml:math display="inline" id="im4">
<mml:mrow>
<mml:msubsup>
<mml:mi>x</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>j</mml:mi>
</mml:mrow>
<mml:mn>1</mml:mn>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> is the transformed value of indicator <italic>j</italic> for treatment <italic>i</italic> to be evaluated, <inline-formula>
<mml:math display="inline" id="im5">
<mml:mrow>
<mml:munder>
<mml:mrow>
<mml:mi>min</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mo>&#x2264;</mml:mo>
<mml:mi>i</mml:mi>
<mml:mo>&#x2264;</mml:mo>
<mml:mi>m</mml:mi>
</mml:mrow>
</mml:munder>
<mml:mo stretchy="false">(</mml:mo>
<mml:msub>
<mml:mi>x</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula> is the minimum value of <inline-formula>
<mml:math display="inline" id="im6">
<mml:mrow>
<mml:msub>
<mml:mi>x</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, <inline-formula>
<mml:math display="inline" id="im7">
<mml:mrow>
<mml:munder>
<mml:mrow>
<mml:mi>max</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mo>&#x2264;</mml:mo>
<mml:mi>i</mml:mi>
<mml:mo>&#x2264;</mml:mo>
<mml:mi>m</mml:mi>
</mml:mrow>
</mml:munder>
<mml:mo stretchy="false">(</mml:mo>
<mml:msub>
<mml:mi>x</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula> is the maximum value of <inline-formula>
<mml:math display="inline" id="im8">
<mml:mrow>
<mml:msub>
<mml:mi>x</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, and <italic>m</italic> is the number of treatments to be evaluated and m=16 in this study.</p>
<p>(2) Data dimensionless (normalization):</p>
<p>In this study, the min-max standardization method was used to normalize the consistent data without dimension.</p>
<disp-formula id="eq11">
<label>(11)</label>
<mml:math display="block" id="M11">
<mml:mrow>
<mml:msub>
<mml:mi>y</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mi>x</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:munder>
<mml:mrow>
<mml:mi>min</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mo>&#x2264;</mml:mo>
<mml:mi>i</mml:mi>
<mml:mo>&#x2264;</mml:mo>
<mml:mi>m</mml:mi>
</mml:mrow>
</mml:munder>
<mml:mo stretchy="false">(</mml:mo>
<mml:msub>
<mml:mi>x</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mrow>
<mml:munder>
<mml:mrow>
<mml:mi>max</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mo>&#x2264;</mml:mo>
<mml:mi>i</mml:mi>
<mml:mo>&#x2264;</mml:mo>
<mml:mi>m</mml:mi>
</mml:mrow>
</mml:munder>
<mml:mo stretchy="false">(</mml:mo>
<mml:msub>
<mml:mi>x</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo stretchy="false">)</mml:mo>
<mml:mo>&#x2212;</mml:mo>
<mml:munder>
<mml:mrow>
<mml:mi>min</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mo>&#x2264;</mml:mo>
<mml:mi>i</mml:mi>
<mml:mo>&#x2264;</mml:mo>
<mml:mi>m</mml:mi>
</mml:mrow>
</mml:munder>
<mml:mo stretchy="false">(</mml:mo>
<mml:msub>
<mml:mi>x</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
</disp-formula>
<p>where <inline-formula>
<mml:math display="inline" id="im9">
<mml:mrow>
<mml:msub>
<mml:mi>y</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the dimensionless value of <inline-formula>
<mml:math display="inline" id="im10">
<mml:mrow>
<mml:msub>
<mml:mi>x</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>.</p>
<p>(1) CRITIC-entropy weighting method to determine the weights:</p>
<disp-formula id="eq12">
<label>(12)</label>
<mml:math display="block" id="M12">
<mml:mrow>
<mml:msub>
<mml:mi>Q</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mfrac bevelled="true">
<mml:mrow>
<mml:msub>
<mml:mi>x</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:mstyle displaystyle="true">
<mml:msubsup>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>=</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi>m</mml:mi>
</mml:msubsup>
<mml:mrow>
<mml:msub>
<mml:mi>x</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mstyle>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
</disp-formula>
<disp-formula id="eq13">
<label>(13)</label>
<mml:math display="block" id="M13">
<mml:mrow>
<mml:msub>
<mml:mi>E</mml:mi>
<mml:mi>j</mml:mi>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mo>&#x2212;</mml:mo>
<mml:mfrac>
<mml:mn>1</mml:mn>
<mml:mrow>
<mml:mi>ln</mml:mi>
<mml:mo stretchy="false">(</mml:mo>
<mml:mi>m</mml:mi>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:mfrac>
<mml:mstyle displaystyle="true">
<mml:msubsup>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>=</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi>m</mml:mi>
</mml:msubsup>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:msub>
<mml:mi>Q</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>ln</mml:mi>
<mml:msub>
<mml:mi>Q</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:mstyle>
</mml:mrow>
</mml:math>
</disp-formula>
<disp-formula id="eq14">
<label>(14)</label>
<mml:math display="block" id="M14">
<mml:mrow>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mi>j</mml:mi>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mi>j</mml:mi>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mi>E</mml:mi>
<mml:mi>j</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</disp-formula>
<disp-formula id="eq15">
<label>(15)</label>
<mml:math display="block" id="M15">
<mml:mrow>
<mml:msub>
<mml:mi>W</mml:mi>
<mml:mi>j</mml:mi>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mi>j</mml:mi>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mi>E</mml:mi>
<mml:mi>j</mml:mi>
</mml:msub>
<mml:mo stretchy="false">)</mml:mo>
<mml:mstyle displaystyle="true">
<mml:msubsup>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>j</mml:mi>
<mml:mo>=</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi>n</mml:mi>
</mml:msubsup>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mn>1</mml:mn>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>r</mml:mi>
<mml:mrow>
<mml:mi>j</mml:mi>
<mml:mi>k</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:mstyle>
</mml:mrow>
<mml:mrow>
<mml:mstyle displaystyle="true">
<mml:msubsup>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>j</mml:mi>
<mml:mo>=</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi>n</mml:mi>
</mml:msubsup>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mi>j</mml:mi>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mi>E</mml:mi>
<mml:mi>j</mml:mi>
</mml:msub>
<mml:mo stretchy="false">)</mml:mo>
<mml:mstyle displaystyle="true">
<mml:msubsup>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>j</mml:mi>
<mml:mo>=</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi>n</mml:mi>
</mml:msubsup>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mn>1</mml:mn>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>r</mml:mi>
<mml:mrow>
<mml:mi>j</mml:mi>
<mml:mi>k</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:mstyle>
</mml:mrow>
</mml:mstyle>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
</disp-formula>
<p>where <inline-formula>
<mml:math display="inline" id="im11">
<mml:mrow>
<mml:msub>
<mml:mi>Q</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the contribution of treatment <italic>i</italic> to indicator <italic>j</italic>, <inline-formula>
<mml:math display="inline" id="im12">
<mml:mrow>
<mml:msub>
<mml:mi>E</mml:mi>
<mml:mi>j</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the information entropy value of the <italic>j</italic> indicator, <inline-formula>
<mml:math display="inline" id="im13">
<mml:mrow>
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mi>j</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the standard deviation of indicator <italic>j</italic>, <inline-formula>
<mml:math display="inline" id="im14">
<mml:mrow>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mi>j</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the information utility value of indicator <italic>j</italic>, <inline-formula>
<mml:math display="inline" id="im15">
<mml:mrow>
<mml:msub>
<mml:mi>W</mml:mi>
<mml:mrow>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the weight obtained for each indicator, <inline-formula>
<mml:math display="inline" id="im16">
<mml:mrow>
<mml:msub>
<mml:mi>r</mml:mi>
<mml:mrow>
<mml:mi>j</mml:mi>
<mml:mi>k</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the correlation coefficient between indicator <italic>j</italic> and indicator <italic>k</italic>, and <italic>n</italic> is the number of evaluation indicators and n=7 in this study.</p>
<p>(4) Construct a weighted evaluation matrix:</p>
<disp-formula id="eq16">
<label>(16)</label>
<mml:math display="block" id="M16">
<mml:mrow>
<mml:msub>
<mml:mi>v</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:msub>
<mml:mi>y</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:msub>
<mml:msub>
<mml:mi>W</mml:mi>
<mml:mi>j</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</disp-formula>
<p>(5) Calculate the relative closeness:</p>
<disp-formula id="eq17">
<label>(17)</label>
<mml:math display="block" id="M17">
<mml:mrow>
<mml:msup>
<mml:mi>Z</mml:mi>
<mml:mo>+</mml:mo>
</mml:msup>
<mml:mo>=</mml:mo>
<mml:mo stretchy="false">(</mml:mo>
<mml:msubsup>
<mml:mi>Z</mml:mi>
<mml:mn>1</mml:mn>
<mml:mo>+</mml:mo>
</mml:msubsup>
<mml:mo>,</mml:mo>
<mml:msubsup>
<mml:mi>Z</mml:mi>
<mml:mn>2</mml:mn>
<mml:mo>+</mml:mo>
</mml:msubsup>
<mml:mo>,</mml:mo>
<mml:mo>&#x22ef;</mml:mo>
<mml:mo>,</mml:mo>
<mml:msubsup>
<mml:mi>Z</mml:mi>
<mml:mi>n</mml:mi>
<mml:mo>+</mml:mo>
</mml:msubsup>
<mml:mo stretchy="false">)</mml:mo>
<mml:mo>,</mml:mo>
<mml:msup>
<mml:mi>Z</mml:mi>
<mml:mo>&#x2212;</mml:mo>
</mml:msup>
<mml:mo>=</mml:mo>
<mml:mo stretchy="false">(</mml:mo>
<mml:msubsup>
<mml:mi>Z</mml:mi>
<mml:mn>1</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
<mml:mo>,</mml:mo>
<mml:msubsup>
<mml:mi>Z</mml:mi>
<mml:mn>2</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
<mml:mo>,</mml:mo>
<mml:mo>&#x22ef;</mml:mo>
<mml:mo>,</mml:mo>
<mml:msubsup>
<mml:mi>Z</mml:mi>
<mml:mi>n</mml:mi>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:math>
</disp-formula>
<disp-formula id="eq18">
<label>(18)</label>
<mml:math display="block" id="M18">
<mml:mrow>
<mml:msubsup>
<mml:mi>Z</mml:mi>
<mml:mi>j</mml:mi>
<mml:mo>+</mml:mo>
</mml:msubsup>
<mml:mo>=</mml:mo>
<mml:mi>max</mml:mi>
<mml:mo stretchy="false">(</mml:mo>
<mml:msub>
<mml:mi>Z</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo stretchy="false">)</mml:mo>
<mml:mo>,</mml:mo>
<mml:msubsup>
<mml:mi>Z</mml:mi>
<mml:mi>j</mml:mi>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
<mml:mo>=</mml:mo>
<mml:mi>min</mml:mi>
<mml:mo stretchy="false">(</mml:mo>
<mml:msub>
<mml:mi>Z</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:math>
</disp-formula>
<p>where <inline-formula>
<mml:math display="inline" id="im17">
<mml:mrow>
<mml:msubsup>
<mml:mi>Z</mml:mi>
<mml:mi>j</mml:mi>
<mml:mo>+</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> is the maximum value of indicator <italic>j</italic>, and <inline-formula>
<mml:math display="inline" id="im18">
<mml:mrow>
<mml:msubsup>
<mml:mi>Z</mml:mi>
<mml:mi>j</mml:mi>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> is the minimum value of indicator <italic>j</italic>.</p>
<disp-formula id="eq19">
<label>(19)</label>
<mml:math display="block" id="M19">
<mml:mrow>
<mml:msubsup>
<mml:mi>D</mml:mi>
<mml:mi>i</mml:mi>
<mml:mo>+</mml:mo>
</mml:msubsup>
<mml:mo>=</mml:mo>
<mml:msqrt>
<mml:mrow>
<mml:mstyle displaystyle="true">
<mml:msubsup>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>j</mml:mi>
<mml:mo>=</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi>n</mml:mi>
</mml:msubsup>
<mml:mrow>
<mml:msup>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:msub>
<mml:mi>z</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msubsup>
<mml:mi>Z</mml:mi>
<mml:mi>j</mml:mi>
<mml:mo>+</mml:mo>
</mml:msubsup>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msup>
</mml:mrow>
</mml:mstyle>
</mml:mrow>
</mml:msqrt>
<mml:mo>,</mml:mo>
<mml:msubsup>
<mml:mi>D</mml:mi>
<mml:mi>i</mml:mi>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
<mml:mo>=</mml:mo>
<mml:msqrt>
<mml:mrow>
<mml:mstyle displaystyle="true">
<mml:msubsup>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>j</mml:mi>
<mml:mo>=</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi>n</mml:mi>
</mml:msubsup>
<mml:mrow>
<mml:msup>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:msub>
<mml:mi>z</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msubsup>
<mml:mi>Z</mml:mi>
<mml:mi>j</mml:mi>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msup>
</mml:mrow>
</mml:mstyle>
</mml:mrow>
</mml:msqrt>
</mml:mrow>
</mml:math>
</disp-formula>
<disp-formula id="eq20">
<label>(20)</label>
<mml:math display="block" id="M20">
<mml:mrow>
<mml:msub>
<mml:mi>H</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msubsup>
<mml:mi>D</mml:mi>
<mml:mi>i</mml:mi>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
<mml:mrow>
<mml:msubsup>
<mml:mi>D</mml:mi>
<mml:mi>i</mml:mi>
<mml:mo>+</mml:mo>
</mml:msubsup>
<mml:mo>+</mml:mo>
<mml:msubsup>
<mml:mi>D</mml:mi>
<mml:mi>i</mml:mi>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:mfrac>
<mml:mo>,</mml:mo>
<mml:mo stretchy="false">(</mml:mo>
<mml:mi>i</mml:mi>
<mml:mo>=</mml:mo>
<mml:mn>1</mml:mn>
<mml:mo>,</mml:mo>
<mml:mn>2</mml:mn>
<mml:mo>,</mml:mo>
<mml:mo>&#x22ef;</mml:mo>
<mml:mo>,</mml:mo>
<mml:mi>m</mml:mi>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:math>
</disp-formula>
<p>where the values were sorted according to the value of <inline-formula>
<mml:math display="inline" id="im19">
<mml:mrow>
<mml:msub>
<mml:mi>H</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>. The larger values were closer to the ideal solution.</p>
</sec>
</sec>
<sec id="s2_4">
<label>2.4</label>
<title>Data analysis</title>
<p>Microsoft Excel 2010 was used for data organization, <xref ref-type="disp-formula" rid="eq1">Equations (1</xref>&#x2013;<xref ref-type="disp-formula" rid="eq20">20)</xref> were used to calculate the relevant indicators, and the CRITIC-entropy weights-TOPSIS model was used for comprehensive evaluation. IBM SPSS Statistics software (version 25.0) was used for statistical analysis. One-way ANOVA and the Duncan method were used for variance analysis and multiple comparison of indicators in different treatments (<italic>P &lt;</italic> 0.05). Two-way ANOVA was performed to examine the effects of water and nitrogen, as well as their interactions, on soil NO<sub>3</sub>
<sup>&#x2212;</sup>&#x2013;N accumulation, nitrogen uptake by wolfberry plants, and soil N<sub>2</sub>O emission characteristics (<italic>P &lt;</italic> 0.05). The drawing was created using the Origin 2021 software.</p>
</sec>
</sec>
<sec id="s3" sec-type="results">
<label>3</label>
<title>Results</title>
<sec id="s3_1">
<label>3.1</label>
<title>Soil NO<sub>3</sub>
<sup>&#x2212;</sup>&#x2013;N distribution and accumulation under different water and nitrogen regulation</title>
<sec id="s3_1_1">
<label>3.1.1</label>
<title>Soil NO<sub>3</sub>
<sup>&#x2212;</sup>&#x2013;N distribution</title>
<p>In the horizontal direction, the NO<sub>3</sub>
<sup>&#x2212;</sup>&#x2013;N content of the soil decreased gradually with increasing horizontal distance from the wolfberry plant, and obvious NO<sub>3</sub>
<sup>&#x2212;</sup>&#x2013;N accumulation zones appeared at 30 cm, 60 cm, and 90 cm from the plant. In the vertical direction, the soil NO<sub>3</sub>
<sup>&#x2212;</sup>&#x2013;N content initially decreased, then increased, and finally decreased with increasing soil depth. An obvious NO<sub>3</sub>
<sup>&#x2212;</sup>&#x2013;N accumulation zone appeared within the 50&#x2013;80 cm soil layer (<xref ref-type="fig" rid="f3">
<bold>Figure&#xa0;3</bold>
</xref>). At the same irrigation level, the average NO<sub>3</sub>
<sup>&#x2212;</sup>&#x2013;N content in soil layers 0&#x2013;100 cm away was N3 (6.36&#x2013;13.29 mg&#xb7;kg<sup>&#x2212;1</sup>) &gt; N2 (5.92&#x2013;12.55 mg&#xb7;kg<sup>&#x2212;1</sup>) &gt; N1 (5.19&#x2013;11.53 mg&#xb7;kg<sup>&#x2212;1</sup>) &gt; N0 (3.95&#x2013;8.39 mg&#xb7;kg<sup>&#x2212;1</sup>). The average NO<sub>3</sub>
<sup>&#x2212;</sup>&#x2013;N contents of N1, N2, and N3 increased by 8.88%&#x2013;45.06%, 15.71&#x2013;66.89%, and 47.55%&#x2013;78.40%, respectively, compared with N0. Under the same level of nitrogen application, at horizontal distances of 30 cm and 60 cm, the average NO<sub>3</sub>
<sup>&#x2212;</sup>&#x2013;N content in the 0&#x2013;100 cm soil layer showed that W0 &gt; W2 &gt; W1 and W3 as irrigation amount increased, and the average NO<sub>3</sub>
<sup>&#x2212;</sup>&#x2013;N content of W2 decreased by 9.25% and 6.04%, respectively, compared with W0. At horizontal distances of 90 cm, 120 cm, and 150 cm, the average NO<sub>3</sub>
<sup>&#x2212;</sup>&#x2013;N content in the 0&#x2013;100 cm soil layer showed an increasing trend with increasing irrigation amount, and the average NO<sub>3</sub>
<sup>&#x2212;</sup>&#x2013;N content of W3 decreased by 20.48%, 18.86%, and 26.25%, respectively, compared with that of W0.</p>
<fig id="f3" position="float">
<label>Figure&#xa0;3</label>
<caption>
<p>Effect of water and nitrogen regulation on NO<sub>3</sub>
<sup>&#x2212;</sup>&#x2013;N distribution in soil. The legend on the right shows the soil NO<sub>3</sub>
<sup>&#x2212;</sup>&#x2013;N content, unit: mg&#xb7;kg<sup>&#x2212;1</sup>. The horizontal distance represents the horizontal distance from the soil sampling point to the wolfberry plant. W0, W1, W2 and W3 refers to full irrigation (75%&#x2013;85% &#x3b8;<sub>f</sub>), slight water deficit (65%&#x2013;75% &#x3b8;<sub>f</sub>), moderate water deficit (55%&#x2013;65% &#x3b8;<sub>f</sub>) and severe water deficit (45%&#x2013;55% &#x3b8;<sub>f</sub>), respectively. N0, N1, N2 and N3 refers to the nitrogen application level is 0 kg&#xb7;ha<sup>&#x2212;1</sup>, 150 kg&#xb7;ha<sup>&#x2212;1</sup>, 300 kg&#xb7;ha<sup>&#x2212;1</sup> and 450 kg&#xb7;ha<sup>&#x2212;1</sup>, respectively.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fpls-15-1385980-g003.tif"/>
</fig>
</sec>
<sec id="s3_1_2">
<label>3.1.2</label>
<title>Soil NO<sub>3</sub>
<sup>&#x2212;</sup>&#x2013;N accumulation</title>
<p>Irrigation and nitrogen application had extremely significant effects on the accumulation of NO<sub>3</sub>
<sup>&#x2212;</sup>&#x2013;N in the soil layers from 0&#x2013;100 cm at each horizontal distance. Their interaction effects only had extremely significant effects on NO<sub>3</sub>
<sup>&#x2212;</sup>&#x2013;N accumulation in the soil layers from 30 cm horizontally (<xref ref-type="table" rid="T2">
<bold>Table&#xa0;2</bold>
</xref>). Overall, the total NO<sub>3</sub>
<sup>&#x2212;</sup>&#x2013;N content in the soil gradually decreased with increasing horizontal distance. The cumulative amount of NO<sub>3</sub>
<sup>&#x2212;</sup>&#x2013;N at 150 cm was 22.57%&#x2013;46.14% lower than that at 30 cm. With an increase in nitrogen application rate, the accumulation of NO<sub>3</sub>
<sup>&#x2212;</sup>&#x2013;N at each horizontal distance significantly increased. The NO<sub>3</sub>
<sup>&#x2212;</sup>&#x2013;N accumulation of N0, N1, and N2 decreased significantly by 32.22%&#x2013;43.95%, 12.63%&#x2013;32.71%, and 3.87%&#x2013;29.97%, respectively, compared with N3. With an increase in the amount of irrigation, the accumulation of NO<sub>3</sub>
<sup>&#x2212;</sup>&#x2013;N at different horizontal distances fluctuated and increased. The NO<sub>3</sub>
<sup>&#x2212;</sup>&#x2013;N accumulation in W3 significantly decreased by 7.01%&#x2013;31.79% compared with that of W0.</p>
<table-wrap id="T2" position="float">
<label>Table&#xa0;2</label>
<caption>
<p>Effects of water and nitrogen regulation on soil NO<sub>3</sub>
<sup>&#x2212;</sup>&#x2013;N accumulation at different horizontal distances from wolfberry plants (kg&#xb7;ha<sup>&#x2212;1</sup>).</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" align="center">Treatment</th>
<th valign="middle" align="center">30 cm</th>
<th valign="middle" align="center">60 cm</th>
<th valign="middle" align="center">90 cm</th>
<th valign="middle" align="center">120 cm</th>
<th valign="middle" align="center">150 cm</th>
<th valign="middle" align="center">The average value</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="middle" align="center">W0N0</td>
<td valign="middle" align="center">130.64 &#xb1; 5.85h</td>
<td valign="middle" align="center">136.68 &#xb1; 7.66gh</td>
<td valign="middle" align="center">127.97 &#xb1; 9.95efg</td>
<td valign="middle" align="center">101.82 &#xb1; 8.60efgh</td>
<td valign="middle" align="center">91.72 &#xb1; 8.54efg</td>
<td valign="middle" align="center">117.77 &#xb1; 7.85ef</td>
</tr>
<tr>
<td valign="middle" align="center">W0N1</td>
<td valign="middle" align="center">187.89 &#xb1; 5.73de</td>
<td valign="middle" align="center">164.99 &#xb1; 12.28def</td>
<td valign="middle" align="center">139.33 &#xb1; 15.36cdef</td>
<td valign="middle" align="center">114.81 &#xb1; 7.08cdef</td>
<td valign="middle" align="center">110.71 &#xb1; 14.15bcde</td>
<td valign="middle" align="center">143.31 &#xb1; 10.84cd</td>
</tr>
<tr>
<td valign="middle" align="center">W0N2</td>
<td valign="middle" align="center">203.33 &#xb1; 8.32b</td>
<td valign="middle" align="center">182.80 &#xb1; 4.51bc</td>
<td valign="middle" align="center">154.98 &#xb1; 13.82cd</td>
<td valign="middle" align="center">133.20 &#xb1; 10.61bc</td>
<td valign="middle" align="center">122.45 &#xb1; 7.77ab</td>
<td valign="middle" align="center">159.35 &#xb1; 8.92bc</td>
</tr>
<tr>
<td valign="middle" align="center">W0N3</td>
<td valign="middle" align="center">215.27 &#xb1; 4.29a</td>
<td valign="middle" align="center">201.75 &#xb1; 10.39a</td>
<td valign="middle" align="center">189.88 &#xb1; 9.62a</td>
<td valign="middle" align="center">170.63 &#xb1; 11.45a</td>
<td valign="middle" align="center">152.01 &#xb1; 13.33a</td>
<td valign="middle" align="center">185.91 &#xb1; 9.76a</td>
</tr>
<tr>
<td valign="middle" align="center">W1N0</td>
<td valign="middle" align="center">107.74 &#xb1; 7.04i</td>
<td valign="middle" align="center">121.97 &#xb1; 5.90hi</td>
<td valign="middle" align="center">111.19 &#xb1; 14.80ghi</td>
<td valign="middle" align="center">92.28 &#xb1; 6.50gh</td>
<td valign="middle" align="center">83.42 &#xb1; 12.76fgh</td>
<td valign="middle" align="center">103.32 &#xb1; 9.33fg</td>
</tr>
<tr>
<td valign="middle" align="center">W1N1</td>
<td valign="middle" align="center">154.84 &#xb1; 10.37g</td>
<td valign="middle" align="center">148.40 &#xb1; 14.51fg</td>
<td valign="middle" align="center">128.18 &#xb1; 11.25efg</td>
<td valign="middle" align="center">109.34 &#xb1; 6.47defg</td>
<td valign="middle" align="center">103.86 &#xb1; 11.38cdef</td>
<td valign="middle" align="center">128.92 &#xb1; 10.56de</td>
</tr>
<tr>
<td valign="middle" align="center">W1N2</td>
<td valign="middle" align="center">179.12 &#xb1; 4.43ef</td>
<td valign="middle" align="center">160.64 &#xb1; 6.19def</td>
<td valign="middle" align="center">142.58 &#xb1; 11.61cde</td>
<td valign="middle" align="center">111.48 &#xb1; 10.09bcd</td>
<td valign="middle" align="center">96.53 &#xb1; 9.00efg</td>
<td valign="middle" align="center">138.07 &#xb1; 8.08d</td>
</tr>
<tr>
<td valign="middle" align="center">W1N3</td>
<td valign="middle" align="center">192.21 &#xb1; 3.46cd</td>
<td valign="middle" align="center">183.68 &#xb1; 6.47bc</td>
<td valign="middle" align="center">177.54 &#xb1; 14.53ab</td>
<td valign="middle" align="center">159.19 &#xb1; 10.73a</td>
<td valign="middle" align="center">126.28 &#xb1; 12.82b</td>
<td valign="middle" align="center">167.68 &#xb1; 9.58b</td>
</tr>
<tr>
<td valign="middle" align="center">W2N0</td>
<td valign="middle" align="center">117.51 &#xb1; 4.87i</td>
<td valign="middle" align="center">126.08 &#xb1; 10.33hi</td>
<td valign="middle" align="center">105.22 &#xb1; 7.72hi</td>
<td valign="middle" align="center">84.74 &#xb1; 12.01hi</td>
<td valign="middle" align="center">79.25 &#xb1; 13.01gh</td>
<td valign="middle" align="center">102.56 &#xb1; 8.65fg</td>
</tr>
<tr>
<td valign="middle" align="center">W2N1</td>
<td valign="middle" align="center">170.38 &#xb1; 8.11f</td>
<td valign="middle" align="center">154.85 &#xb1; 13.94ef</td>
<td valign="middle" align="center">121.47 &#xb1; 7.87efgh</td>
<td valign="middle" align="center">101.84 &#xb1; 9.62efgh</td>
<td valign="middle" align="center">95.55 &#xb1; 11.43efg</td>
<td valign="middle" align="center">128.82 &#xb1; 10.16de</td>
</tr>
<tr>
<td valign="middle" align="center">W2N2</td>
<td valign="middle" align="center">181.24 &#xb1; 2.56ef</td>
<td valign="middle" align="center">174.07 &#xb1; 8.21bcd</td>
<td valign="middle" align="center">138.70 &#xb1; 15.86cdef</td>
<td valign="middle" align="center">116.24 &#xb1; 9.11cde</td>
<td valign="middle" align="center">103.15 &#xb1; 11.05cdef</td>
<td valign="middle" align="center">142.68 &#xb1; 9.32cd</td>
</tr>
<tr>
<td valign="middle" align="center">W2N3</td>
<td valign="middle" align="center">201.4 &#xb1; 3.92bc</td>
<td valign="middle" align="center">189.76 &#xb1; 9.45ab</td>
<td valign="middle" align="center">159.95 &#xb1; 10.85bc</td>
<td valign="middle" align="center">136.71 &#xb1; 13.26b</td>
<td valign="middle" align="center">118.76 &#xb1; 9.03bcd</td>
<td valign="middle" align="center">161.32 &#xb1; 8.77b</td>
</tr>
<tr>
<td valign="middle" align="center">W3N0</td>
<td valign="middle" align="center">108.31 &#xb1; 8.87i</td>
<td valign="middle" align="center">114.33 &#xb1; 5.56i</td>
<td valign="middle" align="center">90.63 &#xb1; 8.42i</td>
<td valign="middle" align="center">72.91 &#xb1; 12.43i</td>
<td valign="middle" align="center">64.45 &#xb1; 11.76h</td>
<td valign="middle" align="center">90.12 &#xb1; 9.33g</td>
</tr>
<tr>
<td valign="middle" align="center">W3N1</td>
<td valign="middle" align="center">157.12 &#xb1; 4.86g</td>
<td valign="middle" align="center">135.88 &#xb1; 8.67gh</td>
<td valign="middle" align="center">116.74 &#xb1; 13.12fgh</td>
<td valign="middle" align="center">95.50 &#xb1; 13.35fgh</td>
<td valign="middle" align="center">84.63 &#xb1; 7.06fg</td>
<td valign="middle" align="center">117.97 &#xb1; 9.17ef</td>
</tr>
<tr>
<td valign="middle" align="center">W3N2</td>
<td valign="middle" align="center">171.61 &#xb1; 1.74f</td>
<td valign="middle" align="center">156.53 &#xb1; 8.69def</td>
<td valign="middle" align="center">136.94 &#xb1; 14.01def</td>
<td valign="middle" align="center">123.86 &#xb1; 15.08bcd</td>
<td valign="middle" align="center">98.96 &#xb1; 9.70defg</td>
<td valign="middle" align="center">137.58 &#xb1; 9.83d</td>
</tr>
<tr>
<td valign="middle" align="center">W3N3</td>
<td valign="middle" align="center">179.84 &#xb1; 6.23ef</td>
<td valign="middle" align="center">168.69 &#xb1; 12.83cde</td>
<td valign="middle" align="center">142.45 &#xb1; 9.38cde</td>
<td valign="middle" align="center">130.01 &#xb1; 6.05bc</td>
<td valign="middle" align="center">103.68 &#xb1; 7.28cdef</td>
<td valign="middle" align="center">144.94 &#xb1; 7.84cd</td>
</tr>
<tr>
<th valign="middle" colspan="7" align="left">Test of variance of significance</th>
</tr>
<tr>
<td valign="middle" align="center">Irrigation<break/>(W)</td>
<td valign="middle" align="center">16.484**</td>
<td valign="middle" align="center">17.81**</td>
<td valign="middle" align="center">14.60**</td>
<td valign="middle" align="center">13.35**</td>
<td valign="middle" align="center">17.05**</td>
<td valign="middle" align="center">19.75**</td>
</tr>
<tr>
<td valign="middle" align="center">Nitrogen<break/>(N)</td>
<td valign="middle" align="center">55.781**</td>
<td valign="middle" align="center">89.71**</td>
<td valign="middle" align="center">51.57**</td>
<td valign="middle" align="center">74.87**</td>
<td valign="middle" align="center">35.81**</td>
<td valign="middle" align="center">93.67**</td>
</tr>
<tr>
<td valign="middle" align="center">W&#xd7;N</td>
<td valign="middle" align="center">3.344**</td>
<td valign="middle" align="center">0.19ns</td>
<td valign="middle" align="center">0.84ns</td>
<td valign="middle" align="center">1.28ns</td>
<td valign="middle" align="center">1.13ns</td>
<td valign="middle" align="center">0.58ns</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>Different lowercase letters indicate significant differences between treatments (<italic>P</italic> &lt; 0.05). W and N refer to irrigation and nitrogen application levels, respectively; N &#xd7; W refers to interaction effect between the two. ** indicates an extremely significant difference (<italic>P</italic> &lt; 0.01); ns indicates no significant difference (<italic>P</italic> &gt; 0.05). W0, W1, W2 and W3 refers to full irrigation (75%&#x2013;85% &#x3b8;<sub>f</sub>), slight water deficit (65%&#x2013;75% &#x3b8;<sub>f</sub>), moderate water deficit (55%&#x2013;65% &#x3b8;<sub>f</sub>) and severe water deficit (45%&#x2013;55% &#x3b8;<sub>f</sub>), respectively. N0, N1, N2 and N3 refers to the nitrogen application level is 0 kg&#xb7;ha<sup>&#x2212;1</sup>, 150 kg&#xb7;ha<sup>&#x2212;1</sup>, 300 kg&#xb7;ha<sup>&#x2212;1</sup> and 450 kg&#xb7;ha<sup>&#x2212;1</sup>, respectively.</p>
</fn>
</table-wrap-foot>
</table-wrap>
</sec>
</sec>
<sec id="s3_2">
<label>3.2</label>
<title>Nitrogen allocation and uptake of wolfberry plants under different water and nitrogen regulation</title>
<sec id="s3_2_1">
<label>3.2.1</label>
<title>Nitrogen allocation</title>
<p>Irrigation and nitrogen application had a significant affect the total nitrogen content of each organ of the wolfberry, but their interaction did not have a significant effect on the total nitrogen content of each organ of the wolfberry (<xref ref-type="fig" rid="f4">
<bold>Figure&#xa0;4</bold>
</xref>). The total nitrogen content of each organ showed that leaves (3.22&#x2013;3.91%) had higher levels than roots (2.29&#x2013;3.25%), stems (1.83&#x2013;3.30%), and fruits (1.73&#x2013;2.42%). Under the same irrigation level, the total nitrogen content of the roots, stems, leaves, and fruits followed the order N2 &gt; N3 &gt; N1 &gt; N0. The total nitrogen content of each organ in N2 increased by 17.21%&#x2013;20.09%, 19.34%&#x2013;38.80%, 10.56%&#x2013;14.46%, and 12.12%&#x2013;23.12%, respectively, compared with N0. Under the same level of nitrogen application, the total nitrogen content of roots, stems, leaves and fruits of wolfberry were in the order W1 &gt; W0 &gt; W2 &gt; W3, and the total nitrogen content of each organ in W1 increased by 13.96%&#x2013;18.18%, 20.35%&#x2013;39.34%, 7.76%&#x2013;11.62%, and 11.79%&#x2013;21.39%, respectively, compared with W3.</p>
<fig id="f4" position="float">
<label>Figure&#xa0;4</label>
<caption>
<p>Effects of water and nitrogen regulation on total nitrogen content in each organ of wolfberry. Different lowercase letters indicate significant differences between treatments (<italic>P &lt;</italic> 0.05). <bold>(A&#x2013;D)</bold> represents the total nitrogen content of the root, stem, leaf and fruit of wolfberry, respectively. W and N refer to irrigation and nitrogen application levels, respectively; N &#xd7; W refers to interaction effect between the two. ** indicates an extremely significant difference (<italic>P &lt;</italic> 0.01); ns indicates no significant difference (<italic>P</italic> &gt; 0.05). W0, W1, W2 and W3 refers to full irrigation (75%&#x2013;85% &#x3b8;<sub>f</sub>), slight water deficit (65%&#x2013;75% &#x3b8;<sub>f</sub>), moderate water deficit (55%&#x2013;65% &#x3b8;<sub>f</sub>) and severe water deficit (45%&#x2013;55% &#x3b8;<sub>f</sub>), respectively. N0, N1, N2 and N3 refers to the nitrogen application level is 0 kg&#xb7;ha<sup>&#x2212;1</sup>, 150 kg&#xb7;ha<sup>&#x2212;1</sup>, 300 kg&#xb7;ha<sup>&#x2212;1</sup> and 450 kg&#xb7;ha<sup>&#x2212;1</sup>, respectively.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fpls-15-1385980-g004.tif"/>
</fig>
</sec>
<sec id="s3_2_2">
<label>3.2.2</label>
<title>Nitrogen uptake</title>
<p>Irrigation and nitrogen application significantly affected the nitrogen uptake in each organ of the wolfberry. The interaction effects of these factors on nitrogen uptake varied across different organs (roots, stems, leaves, and fruits) (<xref ref-type="fig" rid="f5">
<bold>Figure&#xa0;5</bold>
</xref>). With an increase in irrigation and nitrogen application, the nitrogen uptake of wolfberry initially increased and then decreased. The nitrogen uptake showed that the stem and fruit had the highest uptake, followed by roots and leaves, accounting for 19.23%&#x2013;87.73%, 31.04%&#x2013;90.16%, 11.39%&#x2013;40.80%, and 5.63%&#x2013;16.78% of the total nitrogen uptake, respectively. From the perspective of total nitrogen absorption, W0, W2 and W3 decreased by 11.31%&#x2013;12.50%, 19.22%&#x2013;24.47%, and 34.87%&#x2013;40.13%, respectively, compared with W1. N2 increased by 84.27%&#x2013;94.63%, 25.51%&#x2013;29.88%, and 12.70%&#x2013;17.90% compared with N0, N1, and N3, respectively.</p>
<fig id="f5" position="float">
<label>Figure&#xa0;5</label>
<caption>
<p>Effects of water and nitrogen regulation on nitrogen uptake of each organ of wolfberry. Different lowercase letters indicate significant differences between treatments (<italic>P &lt;</italic> 0.05). <bold>(A&#x2013;E)</bold> represents the root, stem, leaf, fruitf and total nitrogen uptake of wolfberry organs, respectively. W and N refer to irrigation and nitrogen application levels, respectively; N &#xd7; W refers to interaction effect between the two. ** indicates an extremely significant difference (<italic>P &lt;</italic> 0.01); * indicates a significant difference (<italic>P</italic> &lt; 0.05); ns indicates no significant difference (<italic>P</italic> &gt; 0.05). W0, W1, W2 and W3 refers to full irrigation (75%&#x2013;85% &#x3b8;<sub>f</sub>), slight water deficit (65%&#x2013;75% &#x3b8;<sub>f</sub>), moderate water deficit (55%&#x2013;65% &#x3b8;<sub>f</sub>) and severe water deficit (45%&#x2013;55% &#x3b8;<sub>f</sub>), respectively. N0, N1, N2 and N3 refers to the nitrogen application level is 0 kg&#xb7;ha<sup>&#x2212;1</sup>, 150 kg&#xb7;ha<sup>&#x2212;1</sup>, 300 kg&#xb7;ha<sup>&#x2212;1</sup> and 450 kg&#xb7;ha<sup>&#x2212;1</sup>, respectively.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fpls-15-1385980-g005.tif"/>
</fig>
</sec>
</sec>
<sec id="s3_3">
<label>3.3</label>
<title>Soil N<sub>2</sub>O emission and its influencing factors under different water and nitrogen regulation</title>
<sec id="s3_3_1">
<label>3.3.1</label>
<title>Soil N<sub>2</sub>O emission parameters</title>
<p>During the wolfberry harvest period, the soil N<sub>2</sub>O emission flux under different water and nitrogen treatments ranged from 28.68&#x2013;177.91 ug&#xb7;m<sup>&#x2212;2</sup>&#xb7;h<sup>&#x2212;1</sup>. The pattern of change was consistent, with a peak occurring after irrigation, followed by a gradual decrease afterwards (<xref ref-type="fig" rid="f6">
<bold>Figure&#xa0;6</bold>
</xref>). In each period, under the same irrigation level, the soil N<sub>2</sub>O emission fluxes of N0, N1, and N2 decreased by 50.93%&#x2013;68.38%, 8.77%&#x2013;37.46%, and 2.95%&#x2013;16.65% compared with N3. Under the same nitrogen application level, the soil N<sub>2</sub>O emission fluxes of W1, W2, and W3 decreased by 1.34%&#x2013;20.89%, 13.00%&#x2013;37.16%, and 17.34%&#x2013;43.22% compared with W0. Among all treatments, W0N3 exhibited the highest soil N<sub>2</sub>O emission flux (116.39&#x2013;177.91 ug&#xb7;m<sup>&#x2212;2</sup>&#xb7;h<sup>&#x2212;1</sup>), whereas W3N0 showed the lowest soil N<sub>2</sub>O emission flux (28.68&#x2013;39.55 ug&#xb7;m<sup>&#x2212;2</sup>&#xb7;h<sup>&#x2212;1</sup>).</p>
<fig id="f6" position="float">
<label>Figure&#xa0;6</label>
<caption>
<p>Effects of water and nitrogen regulation on soil N<sub>2</sub>O emission flux. Arrows indicate irrigation on the appropriate date. W0, W1, W2 and W3 refers to full irrigation (75%&#x2013;85% &#x3b8;<sub>f</sub>), slight water deficit (65%&#x2013;75% &#x3b8;<sub>f</sub>), moderate water deficit (55%&#x2013;65% &#x3b8;<sub>f</sub>) and severe water deficit (45%&#x2013;55% &#x3b8;<sub>f</sub>), respectively. N0, N1, N2 and N3 refers to the nitrogen application level is 0 kg&#xb7;ha<sup>&#x2212;1</sup>, 150 kg&#xb7;ha<sup>&#x2212;1</sup>, 300 kg&#xb7;ha<sup>&#x2212;1</sup> and 450 kg&#xb7;ha<sup>&#x2212;1</sup>, respectively.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fpls-15-1385980-g006.tif"/>
</fig>
<p>Irrigation, nitrogen application, and their interaction significantly affected the total amount, emission intensity, and emission coefficient of soil N<sub>2</sub>O (<xref ref-type="fig" rid="f7">
<bold>Figure&#xa0;7</bold>
</xref>). Overall, the total N<sub>2</sub>O emissions showed an increasing trend with increasing irrigation and nitrogen application. Compared with N0, the total N<sub>2</sub>O emissions from N1, N2, and N3 were increased by an average of 109.09%, 136.33%, and 163.73%, respectively. Compared with W0, the total N<sub>2</sub>O emissions from W1, W2, and W3 were reduced by an average of 11.60%, 22.63%, and 30.25%, respectively. Among all treatments, the total N<sub>2</sub>O emission of W0N3 was the highest (1.67 kg&#xb7;ha<sup>&#x2212;1</sup>), which was 0.22&#x2013;1.27 kg&#xb7;ha<sup>&#x2212;1</sup> higher than the other treatments.</p>
<fig id="f7" position="float">
<label>Figure&#xa0;7</label>
<caption>
<p>Effects of water and nitrogen regulation on total N<sub>2</sub>O emission, emission intensity and emission coefficient of soil. Different lowercase letters indicate significant differences between treatments (<italic>P &lt;</italic> 0.05). <bold>(A&#x2013;C)</bold> represents the total N<sub>2</sub>O emission, N<sub>2</sub>O emission intensity and N<sub>2</sub>O emission coefficient, respectively. W and N refer to irrigation and nitrogen application levels, respectively; N &#xd7; W refers to interaction effect between the two. ** indicates an extremely significant difference (<italic>P &lt;</italic> 0.01); * indicates a significant difference (<italic>P</italic> &lt; 0.05). W0, W1, W2 and W3 refers to full irrigation (75%&#x2013;85% &#x3b8;<sub>f</sub>), slight water deficit (65%&#x2013;75% &#x3b8;<sub>f</sub>), moderate water deficit (55%&#x2013;65% &#x3b8;<sub>f</sub>) and severe water deficit (45%&#x2013;55% &#x3b8;<sub>f</sub>), respectively. N0, N1, N2 and N3 refers to the nitrogen application level is 0 kg&#xb7;ha<sup>&#x2212;1</sup>, 150 kg&#xb7;ha<sup>&#x2212;1</sup>, 300 kg&#xb7;ha<sup>&#x2212;1</sup> and 450 kg&#xb7;ha<sup>&#x2212;1</sup>, respectively.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fpls-15-1385980-g007.tif"/>
</fig>
<p>Under the same irrigation level, N<sub>2</sub>O emission intensity followed the order N3 &gt; N1 &gt; N2 &gt; N0. The emission intensities of N0, N1, and N2 were significantly reduced by 50.00%&#x2013;60.87%, 5.56% &#x2013;18.18%, and 16.67%&#x2013;22.73%, respectively, compared with N3. The N<sub>2</sub>O emission coefficient decreased significantly with increasing nitrogen application. Specifically, N3 decreased by 50.19% and 20.05% compared with N1 and N2, respectively. Under the same level of nitrogen application, the intensity of N<sub>2</sub>O emissions initially decreased and then increased with increasing irrigation amount. The emission intensity of W0 decreased by significantly -22.22%&#x2013;14.29% compared with that of W3. At the N1 level, the N<sub>2</sub>O emission coefficient initially decreased and then increased with increasing irrigation amount. At the N2 and N3 levels, the emission coefficients of N<sub>2</sub>O were W0 &gt; W1 &gt; W2 &gt; W3 with the increase of irrigation amount, and the emission coefficients of W1, W2, and W3 decreased by 14.59%, 21.71%, and 22.25%, respectively, compared with W0. Among all treatments, the emission intensity and emission coefficient of N<sub>2</sub>O reached the maximum in W3N3 (0.23 kg&#xb7;kg<sup>&#x2212;1</sup>) and W0N1 (0.39%). These values increased by 4.56%&#x2013;187.50%, and 0.74%&#x2013;129.62%, respectively, compared with the other treatments.</p>
</sec>
<sec id="s3_3_2">
<label>3.3.2</label>
<title>Relationship between soil N<sub>2</sub>O emission flux and environmental factors</title>
<p>According to the relationship between soil N<sub>2</sub>O emission flux and environmental factors under varying water and nitrogen conditions (<xref ref-type="fig" rid="f8">
<bold>Figure&#xa0;8</bold>
</xref>), soil N<sub>2</sub>O emission flux showed a positive correlation with the water-filled pore water content of the soil and NO<sub>3</sub>
<sup>&#x2212;</sup>&#x2013;N content. The determination coefficients reached 0.19 and 0.64, respectively. However, the soil N<sub>2</sub>O emission flux decreased linearly as soil temperature increased, and there was no significant correlation between the two.</p>
<fig id="f8" position="float">
<label>Figure&#xa0;8</label>
<caption>
<p>The relationship between soil N<sub>2</sub>O emission flux and environmental factors under different water and nitrogen regulation. The data in the figure are average values. <bold>(A&#x2013;C)</bold> represents the water-filled pore water content of soil, soil temperature and soil NO<sub>3</sub>
<sup>&#x2212;</sup>&#x2013;N content, respectively. Dots in the figure represent N<sub>2</sub>O emission fluxes; the linear line represents the linear fitting curve of N<sub>2</sub>O emission flux. The shaded band represents the 95% confidence band of the N<sub>2</sub>O emission flux.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fpls-15-1385980-g008.tif"/>
</fig>
</sec>
</sec>
<sec id="s3_4">
<label>3.4</label>
<title>Comprehensive evaluation based on CRITIC-entropy weights-TOPSIS model</title>
<p>The total nitrogen content and total nitrogen uptake of wolfberry plants, soil NO<sub>3</sub>
<sup>&#x2212;</sup>&#x2013;N accumulation, soil temperature, water-filled pore water content of the soil, N<sub>2</sub>O emission flux, and other indicators were consistently analyzed (<xref ref-type="table" rid="T3">
<bold>Table&#xa0;3</bold>
</xref>). The weights of the wolfberry indices based on the CRITIC-entropy weight method were as follows: F &gt; N<sub>ua</sub> &gt; NR<sub>a</sub> &gt; N<sub>ia</sub> &gt; f &gt; GHGI &gt; EF (<xref ref-type="table" rid="T4">
<bold>Table&#xa0;4</bold>
</xref>). According to the comprehensive evaluation results of the CRITIC-entropy weights-TOPSIS model (<xref ref-type="fig" rid="f9">
<bold>Figure&#xa0;9</bold>
</xref>), the W1N2 treatment ranking was the best, followed by the W3N2 treatment. These results indicate that when a mild water deficit (W1, 65%&#x2013;75% &#x3b8;<sub>f</sub>) was coupled with medium nitrogen application (N2, 300 kg&#xb7;ha<sup>&#x2212;1</sup>), the nitrogen uptake of wolfberry plants was higher, and the accumulation of NO<sub>3</sub>
<sup>&#x2212;</sup>&#x2013;N and N<sub>2</sub>O emission in the soil was lower.</p>
<table-wrap id="T3" position="float">
<label>Table&#xa0;3</label>
<caption>
<p>Consistency of TOPSIS indicator types.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" align="center">Treatment</th>
<th valign="middle" align="center">N<sub>qa</sub>
</th>
<th valign="middle" align="center">N<sub>ua</sub>
</th>
<th valign="middle" align="center">NR<sub>a</sub>
</th>
<th valign="middle" align="center">F</th>
<th valign="middle" align="center">f</th>
<th valign="middle" align="center">GHGI</th>
<th valign="middle" align="center">EF</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="middle" align="center">W0N0</td>
<td valign="middle" align="center">0.096</td>
<td valign="middle" align="center">0.013</td>
<td valign="middle" align="center">5.280</td>
<td valign="middle" align="center">0.019</td>
<td valign="middle" align="center">1.581</td>
<td valign="middle" align="center">9.431</td>
<td valign="middle" align="center"/>
</tr>
<tr>
<td valign="middle" align="center">W0N1</td>
<td valign="middle" align="center">0.091</td>
<td valign="middle" align="center">0.009</td>
<td valign="middle" align="center">84.724</td>
<td valign="middle" align="center">0.010</td>
<td valign="middle" align="center">0.824</td>
<td valign="middle" align="center">5.662</td>
<td valign="middle" align="center">2.581</td>
</tr>
<tr>
<td valign="middle" align="center">W0N2</td>
<td valign="middle" align="center">0.083</td>
<td valign="middle" align="center">0.007</td>
<td valign="middle" align="center">53.112</td>
<td valign="middle" align="center">0.008</td>
<td valign="middle" align="center">0.692</td>
<td valign="middle" align="center">5.723</td>
<td valign="middle" align="center">3.688</td>
</tr>
<tr>
<td valign="middle" align="center">W0N3</td>
<td valign="middle" align="center">0.088</td>
<td valign="middle" align="center">0.008</td>
<td valign="middle" align="center">0.000</td>
<td valign="middle" align="center">0.007</td>
<td valign="middle" align="center">0.599</td>
<td valign="middle" align="center">4.466</td>
<td valign="middle" align="center">4.338</td>
</tr>
<tr>
<td valign="middle" align="center">W1N0</td>
<td valign="middle" align="center">0.092</td>
<td valign="middle" align="center">0.012</td>
<td valign="middle" align="center">26.388</td>
<td valign="middle" align="center">0.021</td>
<td valign="middle" align="center">1.781</td>
<td valign="middle" align="center">11.095</td>
<td valign="middle" align="center"/>
</tr>
<tr>
<td valign="middle" align="center">W1N1</td>
<td valign="middle" align="center">0.087</td>
<td valign="middle" align="center">0.008</td>
<td valign="middle" align="center">77.596</td>
<td valign="middle" align="center">0.010</td>
<td valign="middle" align="center">0.884</td>
<td valign="middle" align="center">6.361</td>
<td valign="middle" align="center">2.634</td>
</tr>
<tr>
<td valign="middle" align="center">W1N2</td>
<td valign="middle" align="center">0.078</td>
<td valign="middle" align="center">0.006</td>
<td valign="middle" align="center">95.676</td>
<td valign="middle" align="center">0.009</td>
<td valign="middle" align="center">0.783</td>
<td valign="middle" align="center">6.896</td>
<td valign="middle" align="center">4.196</td>
</tr>
<tr>
<td valign="middle" align="center">W1N3</td>
<td valign="middle" align="center">0.083</td>
<td valign="middle" align="center">0.007</td>
<td valign="middle" align="center">36.256</td>
<td valign="middle" align="center">0.008</td>
<td valign="middle" align="center">0.705</td>
<td valign="middle" align="center">5.569</td>
<td valign="middle" align="center">5.255</td>
</tr>
<tr>
<td valign="middle" align="center">W2N0</td>
<td valign="middle" align="center">0.102</td>
<td valign="middle" align="center">0.014</td>
<td valign="middle" align="center">24.868</td>
<td valign="middle" align="center">0.025</td>
<td valign="middle" align="center">2.178</td>
<td valign="middle" align="center">12.422</td>
<td valign="middle" align="center"/>
</tr>
<tr>
<td valign="middle" align="center">W2N1</td>
<td valign="middle" align="center">0.096</td>
<td valign="middle" align="center">0.010</td>
<td valign="middle" align="center">77.384</td>
<td valign="middle" align="center">0.012</td>
<td valign="middle" align="center">0.979</td>
<td valign="middle" align="center">5.981</td>
<td valign="middle" align="center">2.665</td>
</tr>
<tr>
<td valign="middle" align="center">W2N2</td>
<td valign="middle" align="center">0.087</td>
<td valign="middle" align="center">0.008</td>
<td valign="middle" align="center">86.456</td>
<td valign="middle" align="center">0.011</td>
<td valign="middle" align="center">0.888</td>
<td valign="middle" align="center">6.571</td>
<td valign="middle" align="center">4.499</td>
</tr>
<tr>
<td valign="middle" align="center">W2N3</td>
<td valign="middle" align="center">0.091</td>
<td valign="middle" align="center">0.009</td>
<td valign="middle" align="center">49.184</td>
<td valign="middle" align="center">0.010</td>
<td valign="middle" align="center">0.811</td>
<td valign="middle" align="center">5.695</td>
<td valign="middle" align="center">5.819</td>
</tr>
<tr>
<td valign="middle" align="center">W3N0</td>
<td valign="middle" align="center">0.110</td>
<td valign="middle" align="center">0.019</td>
<td valign="middle" align="center">0.000</td>
<td valign="middle" align="center">0.029</td>
<td valign="middle" align="center">2.472</td>
<td valign="middle" align="center">11.350</td>
<td valign="middle" align="center"/>
</tr>
<tr>
<td valign="middle" align="center">W3N1</td>
<td valign="middle" align="center">0.100</td>
<td valign="middle" align="center">0.012</td>
<td valign="middle" align="center">55.696</td>
<td valign="middle" align="center">0.013</td>
<td valign="middle" align="center">1.069</td>
<td valign="middle" align="center">4.793</td>
<td valign="middle" align="center">2.569</td>
</tr>
<tr>
<td valign="middle" align="center">W3N2</td>
<td valign="middle" align="center">0.091</td>
<td valign="middle" align="center">0.010</td>
<td valign="middle" align="center">94.908</td>
<td valign="middle" align="center">0.012</td>
<td valign="middle" align="center">0.986</td>
<td valign="middle" align="center">5.140</td>
<td valign="middle" align="center">4.473</td>
</tr>
<tr>
<td valign="middle" align="center">W3N3</td>
<td valign="middle" align="center">0.095</td>
<td valign="middle" align="center">0.011</td>
<td valign="middle" align="center">81.948</td>
<td valign="middle" align="center">0.011</td>
<td valign="middle" align="center">0.904</td>
<td valign="middle" align="center">4.323</td>
<td valign="middle" align="center">5.876</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>N<sub>qa</sub>, N<sub>ua</sub> and NR<sub>a</sub> represent the total nitrogen content and nitrogen uptake of each organ of the wolfberry plant, and the average value of NO<sub>3</sub>
<sup>&#x2212;</sup>&#x2013;N accumulation in soil at different horizontal distances (30 cm, 60 cm, 90 cm, 120 cm and 150 cm), respectively. W0, W1, W2 and W3 refers to full irrigation (75%&#x2013;85% &#x3b8;<sub>f</sub>), slight water deficit (65%&#x2013;75% &#x3b8;<sub>f</sub>), moderate water deficit (55%&#x2013;65% &#x3b8;<sub>f</sub>) and severe water deficit (45%&#x2013;55% &#x3b8;<sub>f</sub>), respectively. N0, N1, N2 and N3 refers to the nitrogen application level is 0 kg&#xb7;ha<sup>&#x2212;1</sup>, 150 kg&#xb7;ha<sup>&#x2212;1</sup>, 300 kg&#xb7;ha<sup>&#x2212;1</sup> and 450 kg&#xb7;ha<sup>&#x2212;1</sup>, respectively.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<table-wrap id="T4" position="float">
<label>Table&#xa0;4</label>
<caption>
<p>Weights of each index based on CRITIC-entropy weight method.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" align="center">Index</th>
<th valign="middle" align="center">N<sub>qa</sub>
</th>
<th valign="middle" align="center">N<sub>ua</sub>
</th>
<th valign="middle" align="center">NR<sub>a</sub>
</th>
<th valign="middle" align="center">F</th>
<th valign="middle" align="center">f</th>
<th valign="middle" align="center">GHGI</th>
<th valign="middle" align="center">EF</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="middle" align="center">Information entropy (<italic>E<sub>j</sub>
</italic>)</td>
<td valign="middle" align="center">0.999</td>
<td valign="middle" align="center">0.987</td>
<td valign="middle" align="center">0.994</td>
<td valign="middle" align="center">0.978</td>
<td valign="middle" align="center">0.977</td>
<td valign="middle" align="center">0.984</td>
<td valign="middle" align="center">0.879</td>
</tr>
<tr>
<td valign="middle" align="center">Information utility value (<italic>C<sub>j</sub>
</italic>)</td>
<td valign="middle" align="center">1.944</td>
<td valign="middle" align="center">30.210</td>
<td valign="middle" align="center">26.739</td>
<td valign="middle" align="center">31.406</td>
<td valign="middle" align="center">1.342</td>
<td valign="middle" align="center">1.031</td>
<td valign="middle" align="center">0.967</td>
</tr>
<tr>
<td valign="middle" align="center">Weight (<italic>W<sub>j</sub>,</italic> %)</td>
<td valign="middle" align="center">0.917</td>
<td valign="middle" align="center">14.251</td>
<td valign="middle" align="center">12.292</td>
<td valign="middle" align="center">14.816</td>
<td valign="middle" align="center">0.633</td>
<td valign="middle" align="center">0.487</td>
<td valign="middle" align="center">0.456</td>
</tr>
</tbody>
</table>
</table-wrap>
<fig id="f9" position="float">
<label>Figure&#xa0;9</label>
<caption>
<p>Comprehensive evaluation scores of different water and nitrogen regulation. The numbers 1, 2, 3, 4, and 5 in the figure represent W1N2, W3N2, W2N2, W0N1, and W3N3, respectively.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fpls-15-1385980-g009.tif"/>
</fig>
</sec>
</sec>
<sec id="s4" sec-type="discussion">
<label>4</label>
<title>Discussion</title>
<sec id="s4_1">
<label>4.1</label>
<title>Distribution and accumulation of soil NO<sub>3</sub>
<sup>&#x2212;</sup>&#x2013;N under different water and nitrogen regulation</title>
<p>Soil NO<sub>3</sub>
<sup>&#x2212;</sup>&#x2013;N is an important component of soil soluble nitrogen and serves as the primary mineral nitrogen source directly absorbed by crops. It is commonly used to assess the nitrogen supply capacity of the soil (<xref ref-type="bibr" rid="B11">Cui et&#xa0;al., 2013</xref>). This study revealed that the soil NO<sub>3</sub>
<sup>&#x2212;</sup>&#x2013;N content in the 0&#x2013;100 cm soil layer of each treatment decreased during the harvest period initially decreased, then increased, and finally decreased with increasing soil depth. Additionally, it decreased with increasing horizontal distance from the wolfberry plants. The soil NO<sub>3</sub>
<sup>&#x2212;</sup>&#x2013;N content at 30 cm and 60 cm from the wolfberry followed the order of W0 &gt; W2 &gt; W1 and W3. This can be attributed to two factors: Firstly, the negative charge of the NO<sub>3</sub>
<sup>&#x2212;</sup> ions causes repulsion with the negatively charged soil colloidal particles, leading to the downward movement of NO<sub>3</sub>
<sup>&#x2212;</sup>&#x2013;N through leaching and infiltration, thereby affecting the vertical redistribution of NO<sub>3</sub>
<sup>&#x2212;</sup>&#x2013;N. Secondly, water migration and root absorption affect the vertical and horizontal redistribution process of NO<sub>3</sub>
<sup>&#x2212;</sup>&#x2013;N, resulting in intensified NO<sub>3</sub>
<sup>&#x2212;</sup>&#x2013;N leaching near the wet body in the drip irrigation zone and the phenomenon of &#x201c;enrichment&#x201d; near the roots (<xref ref-type="bibr" rid="B43">Vijayalakshmi et&#xa0;al., 2013</xref>). Furthermore, this study revealed a positive correlation between soil NO<sub>3</sub>
<sup>&#x2212;</sup>&#x2013;N content and the amount of nitrogen applied. The NO<sub>3</sub>
<sup>&#x2212;</sup>&#x2013;N content increased with the amount of irrigation and nitrogen application, and the peak value of NO<sub>3</sub>
<sup>&#x2212;</sup>&#x2013;N increased and gradually moved downward. This finding was similar to that reported by <xref ref-type="bibr" rid="B19">Gu et&#xa0;al. (2018)</xref> for winter oilseed rape in the Guanzhong area of Shaanxi Province. This result indicated that urea applied to the soil through irrigation rapidly hydrolyzes into NH<sub>4</sub>
<sup>+</sup>&#x2013;N and is oxidized to NO<sub>3</sub>
<sup>&#x2212;</sup>&#x2013;N under the action of ammonia oxidizing microorganisms. However, NO<sub>3</sub>
<sup>&#x2212;</sup>&#x2013;N is highly soluble in water and tends to accumulate at a specific depth within soil pores (<xref ref-type="bibr" rid="B50">Wu et&#xa0;al., 2022b</xref>).</p>
<p>Crops absorb a portion of NO<sub>3</sub>
<sup>&#x2212;</sup>&#x2013;N during their growth, whereas unabsorbed NO<sub>3</sub>
<sup>&#x2212;</sup>&#x2013;N accumulates in the soil, thereby increasing the potential risk of groundwater pollution. In this study, the accumulation of soil NO<sub>3</sub>
<sup>&#x2212;</sup>&#x2013;N in the 0&#x2013;100 cm soil layer decreased as the horizontal distance increased under different water and nitrogen treatments (except for the N0 nitrogen application level). The average soil NO<sub>3</sub>
<sup>&#x2212;</sup>&#x2013;N accumulation in the 0&#x2013;100 cm soil layer at each horizontal distance followed the order of W0 &gt; W1 &gt; W2 &gt; W3 (except for the N2 nitrogen application level), and N3 &gt; N2 &gt; N1 &gt; N0. Both water and nitrogen affected the accumulation of NO<sub>3</sub>
<sup>&#x2212;</sup>&#x2013;N in the soil, with nitrogen application having a greater influence on soil NO<sub>3</sub>
<sup>&#x2212;</sup>&#x2013;N accumulation than the irrigation amount (<xref ref-type="table" rid="T3">
<bold>Table&#xa0;3</bold>
</xref>). This contradicts the findings of <xref ref-type="bibr" rid="B45">Wang et&#xa0;al. (2008)</xref> in Shandong Province, which indicated that both irrigation and nitrogen application significantly affected NO<sub>3</sub>
<sup>&#x2212;</sup>&#x2013;N accumulation in the 0&#x2013;100 cm soil layer of wheat, and the contribution of irrigation to NO<sub>3</sub>
<sup>&#x2212;</sup>&#x2013;N accumulation was greater than that of nitrogen application. This may be attributed to the more developed root system of wolfberry than that of wheat. Additionally, the soil resource endowment characteristics in the Yellow River irrigation region of Gansu Province may not fully support the growth and development of wolfberry, leading to the increased reliance on exogenous nutrients to maintain normal physiological growth activities of the plants (<xref ref-type="bibr" rid="B14">Dou et&#xa0;al., 2021</xref>). At the same time, this study concluded that the single factor of water and nitrogen significantly affected the accumulation of soil NO<sub>3</sub>
<sup>&#x2212;</sup>&#x2013;N. The interaction effect of the two factors only had a significant impact on NO<sub>3</sub>
<sup>&#x2212;</sup>&#x2013;N accumulation in the soil 30 cm away from the horizontal distance of the wolfberry (<xref ref-type="table" rid="T2">
<bold>Table&#xa0;2</bold>
</xref>).This may be related to the root distribution of wolfberry plants, and multiple irrigations may have caused downward leaching of nitrogen accumulation. Nitrogen accumulation tends to decrease away from the drip irrigation belt, making wolfberry roots closer to the belt more sensitive to water and nitrogen responses (<xref ref-type="bibr" rid="B21">Iranzi et&#xa0;al., 2023</xref>).</p>
</sec>
<sec id="s4_2">
<label>4.2</label>
<title>Nitrogen allocation and uptake of wolfberry plants under different water and nitrogen regulation</title>
<p>A reasonable water and nitrogen supply pattern is beneficial for increasing nitrogen uptake by plants (<xref ref-type="bibr" rid="B12">Dai and Zhang, 2020</xref>). The results of this study revealed that the total nitrogen content of each organ of the wolfberry at the time of harvest followed the order leaves &gt; roots and stems &gt; fruits. The highest values were observed under the W1N2 treatment, with the nitrogen content reaching 3.25% in the roots, 3.30% in the stems, 3.91% in the leaves, and 2.42% in the fruits. This suggests that the appropriate water-nitrogen combination has a synergistic effect on nitrogen allocation and uptake in crops (<xref ref-type="bibr" rid="B36">Qin et&#xa0;al., 2021</xref>). In addition, this study found that the total nitrogen content of wolfberry leaves and fruits initially increased and then decreased with increasing irrigation and nitrogen application. This contradicts the findings of <xref ref-type="bibr" rid="B60">Zhen and Zhen (2006)</xref> and <xref ref-type="bibr" rid="B35">Qin et&#xa0;al. (2017)</xref> who concluded that the nitrogen content in wheat leaves and fruits is regulated by exogenous nitrogen and increases with increasing nitrogen application. The difference in absorption capacity between wolfberry and wheat could be attributed to the more developed roots and stronger absorption capacity of wolfberry. Additionally, nitrogen application in this experiment reached the absorption threshold of wolfberry (medium nitrogen application of 300 kg&#xb7;ha<sup>&#x2212;1</sup>). With an increasing in nitrogen application (high nitrogen application of 450 kg&#xb7;ha<sup>&#x2212;1</sup>), the antagonism between the absorbed elements and ions of wolfberry plants was enhanced. This leads to extravagant nitrogen absorption, by the plants, ultimately resulting in a decrease in the nitrogen content of crops (<xref ref-type="bibr" rid="B17">Filipovi&#x107; et&#xa0;al., 2016</xref>).</p>
<p>Irrigation and nitrogen application can affect the accumulation of plant nutrients by improving soil water and fertilizer conditions (<xref ref-type="bibr" rid="B28">Liu et&#xa0;al., 2007</xref>). In this study, it was concluded that the nitrogen uptake of wolfberry showed the following trend: N2 &gt; N3 &gt; N1 &gt; N0. Specifically, N2 showed significant increases of 85.32%, 26.80%, and 15.39% compared with N0, N1, and N3, respectively. These finding are consistent with those of a study on cotton in the Xinjiang region conducted by <xref ref-type="bibr" rid="B58">Zhang et&#xa0;al. (2021)</xref>. This may be due to the excessive application of nitrogen, which can lead to an imbalance in plant nutrient uptake, reduce plant nitrogen uptake and accumulation, and cause loss of nitrogen resources. However, appropriate nitrogen application can increase the levels of inorganic nitrogen, such as NO<sub>3</sub>
<sup>&#x2212;</sup>&#x2013;N and NH<sub>4</sub>
<sup>+</sup>&#x2013;N in the soil of the root zone, and facilitate nitrogen uptake and accumulation in plants (<xref ref-type="bibr" rid="B19">Gu et&#xa0;al., 2018</xref>). The study concluded that the nitrogen uptake of wolfberry initially increased and then decreased with increasing irrigation amount. The total nitrogen uptake of W0 was significantly lower than that of W1 by 11.31%&#x2013;12.50%. However, the accumulation of NO<sub>3</sub>
<sup>&#x2212;</sup>&#x2013;N showed a fluctuating trend and W0 significantly increased by 7.54%&#x2013;46.61% compared with W3. This suggests that a reasonable increase in irrigation can enhance crop nitrogen uptake, whereas excessive irrigation can lead to the &#x201c;dilution effect&#x201d; of crop nitrogen and exacerbate soil nitrogen loss, including the leaching of NO<sub>3</sub>
<sup>&#x2212;</sup>&#x2013;N and NH<sub>4</sub>
<sup>+</sup>&#x2013;N, N<sub>2</sub>O emission, and NH<sub>4</sub> volatilization (<xref ref-type="bibr" rid="B30">Ma et&#xa0;al., 2023</xref>). In addition, this study also revealed that the nitrogen uptake of wolfberry was the highest in the fruits, followed by the stems, roots, and leaves (except for the W3 treatment). Among these, the nitrogen absorption rate of wolfberry fruit (63.56 kg&#xb7;ha<sup>&#x2212;1</sup>) was the highest, and the total nitrogen absorption rate of wolfberry plants (160.45 kg&#xb7;ha<sup>&#x2212;1</sup>) was the highest under W1N2 treatment. It can be observed that using the appropriate water and nitrogen management strategy can produce a synergistic effect on water and nitrogen, enhancing the activity of nitrogen metabolism enzymes and the uptake of nitrogen by plants (<xref ref-type="bibr" rid="B41">Sun et&#xa0;al., 2009</xref>).</p>
</sec>
<sec id="s4_3">
<label>4.3</label>
<title>Soil N<sub>2</sub>O emission and its influencing factors under different water and nitrogen regulation</title>
<p>The application of irrigation and nitrogen not only affects the distribution and accumulation of NO<sub>3</sub>
<sup>&#x2212;</sup>&#x2013;N in the soil and distribution and the absorption of nitrogen by plants, but also affects soil N<sub>2</sub>O emissions. The fluxes of N<sub>2</sub>O emission and total emissions during the harvest period of wolfberry were 28.68&#x2013;177.91 ug&#xb7;m<sup>&#x2212;2</sup>&#xb7;h<sup>&#x2212;1</sup> and 0.40&#x2013;1.67 kg&#xb7;ha<sup>&#x2212;1</sup>, respectively. Moreover, three peaks of N<sub>2</sub>O emission flux (177.91 ug&#xb7;m<sup>&#x2212;2</sup>&#xb7;h<sup>&#x2212;1</sup>, 158.55 ug&#xb7;m<sup>&#x2212;2</sup>&#xb7;h<sup>&#x2212;1</sup>, and 150.93 ug&#xb7;m<sup>&#x2212;2</sup>&#xb7;h<sup>&#x2212;1</sup>) occurred after irrigation. This suggests that irrigation can increase soil microbial abundance and soil enzyme activity, leading to an increased mineralization rate of soil organic matter, higher soil nitrogen content, and consequently, greater release of N<sub>2</sub>O (<xref ref-type="bibr" rid="B25">Li et&#xa0;al., 2020</xref>). In line with <xref ref-type="bibr" rid="B15">Du et&#xa0;al. (2018)</xref>, this study also found that the N<sub>2</sub>O emission flux from fully irrigated fields increased by an average of 7.97%&#x2013;53.69% compared with deficit irrigation. This may be because higher soil moisture reduces soil porosity and soil O<sub>2</sub> diffusion capacity, enhances soil denitrification, and promotes N<sub>2</sub>O emissions. The addition of exogenous nitrogen increases the substrate concentration for soil nitrification and denitrification, leading to enhanced N<sub>2</sub>O emissions (<xref ref-type="bibr" rid="B40">Stehfest and Bouwman, 2019</xref>). The results of this study revealed a significant positive correlation between total N<sub>2</sub>O emissions and nitrogen application (<xref ref-type="fig" rid="f7">
<bold>Figure&#xa0;7A</bold>
</xref>). Additionally, the total N<sub>2</sub>O emissions at 300 kg&#xb7;ha<sup>&#x2212;1</sup> were 13.03% higher than those at 150 kg&#xb7;ha<sup>&#x2212;1</sup>. Similar results were also found by <xref ref-type="bibr" rid="B61">Zheng et&#xa0;al. (2021)</xref> in their study on wheat in Northwest China. This study also concluded that the interaction between water and nitrogen had a significant impact on the N<sub>2</sub>O emission intensity. The N<sub>2</sub>O emission intensity of the W1N2 treatment was significantly reduced by 31.8% and 11.76% compared with the W0N3 and W2N1 treatments (<xref ref-type="fig" rid="f7">
<bold>Figure&#xa0;7B</bold>
</xref>). These results indicate that the intensity of N<sub>2</sub>O emissions can be effectively reduced by appropriately reducing the amount of irrigation water and nitrogen application (<xref ref-type="bibr" rid="B57">Zhang et&#xa0;al., 2015</xref>). Previous studies found that the N<sub>2</sub>O emission coefficients of vegetable plots under different water and nitrogen supplies ranged from 1.09%&#x2013;1.63% under different water and nitrogen conditions. Additionally, the N<sub>2</sub>O emission coefficients of orchards initially decreased and then increased with increasing nitrogen application (<xref ref-type="bibr" rid="B5">Cao et&#xa0;al., 2006</xref>; <xref ref-type="bibr" rid="B44">Wang et&#xa0;al., 2019</xref>). In this study, the N<sub>2</sub>O emission coefficient (0.17%&#x2013;0.39%) for all treatments was generally low and decreased with increasing nitrogen application. This reason may be because the irrigation frequent during the growth period of wolfberry lower than that in vegetable fields, and frequent irrigation can lead to frequent alternations of dry and wet soil, promoting N<sub>2</sub>O emissions.</p>
<p>N<sub>2</sub>O emission fluxes are influenced by various factors, such as WFPS, soil temperature, and soil NO<sub>3</sub>
<sup>&#x2212;</sup>&#x2013;N content. It has been found that soil wet-dry cycles promote the emission of N<sub>2</sub>O by stimulating nitrification and denitrification (<xref ref-type="bibr" rid="B34">Peyron et&#xa0;al., 2016</xref>). The emission flux of N<sub>2</sub>O is exponentially correlated with WFPS (<xref ref-type="bibr" rid="B15">Du et&#xa0;al., 2018</xref>). WFPS is maintained at 45%&#x2013;75% when the N<sub>2</sub>O emission rate is at its maximum, during which soil nitrification-denitrification produces the same proportion of N<sub>2</sub>O (<xref ref-type="bibr" rid="B37">Shelton et&#xa0;al., 2000</xref>). This study demonstrated that soil WFPS in the 0&#x2013;15 cm soil layer ranged from 37.53%&#x2013;52.90% under varying water and nitrogen regulations. Additionally, a significant positive linear correlation was observed between N<sub>2</sub>O emission flux and WFPS (<xref ref-type="fig" rid="f8">
<bold>Figure&#xa0;8A</bold>
</xref>). This indicates that when WFPS was low, N<sub>2</sub>O emissions were mainly from the nitrification reaction, and WFPS gradually increased with increasing irrigation levels. When the WFPS exceeded a certain threshold, the denitrification rate gradually accelerated and contributed to N<sub>2</sub>O emissions along with the nitrification reaction. Soil temperature is an important factor that influences plant root respiration and soil microbial activity. <xref ref-type="bibr" rid="B7">Chen et&#xa0;al. (2018)</xref> found an exponential positive correlation between N<sub>2</sub>O emission flux and soil temperature in their study of greenhouse tomato in northwest China. This finding contradicted the conclusion of the present study, which found a linear and negative correlation between N<sub>2</sub>O emission flux and soil temperature (<italic>R</italic>
<sup>2 =</sup> 0.15ns). The variation in soil temperature (23.1&#xb0;C&#x2013;26.6&#xb0;C) during the wolfberry harvest period suggested a decrease in soil nitrogen mineralization and soil microorganism respiration. Simultaneously, the soil NO<sub>3</sub>
<sup>&#x2212;</sup>&#x2013;N content can not only promote the denitrification rate but also inhibit the reduction of N<sub>2</sub>O to N<sub>2</sub>. In this study, it was found that soil NO<sub>3</sub>
<sup>&#x2212;</sup>&#x2013;N increased with increasing nitrogen application (<xref ref-type="fig" rid="f3">
<bold>Figure&#xa0;3</bold>
</xref>; <xref ref-type="table" rid="T2">
<bold>Table&#xa0;2</bold>
</xref>). Additionally, N<sub>2</sub>O emission flux showed a significant and linear positive correlation with soil NO<sub>3</sub>
<sup>&#x2212;</sup>&#x2013;N content (<italic>R</italic>
<sup>2</sup> = 0.64**). This result further demonstrated that when the nitrogen application rate exceeds the nitrogen requirement of the plant, excess nitrogen remains in the soil and is eventually lost in the form of N<sub>2</sub>O. Therefore, water and nitrogen inputs should be properly controlled to minimize N<sub>2</sub>O emissions during agricultural production. In addition to WFPS, soil temperature, and soil NO<sub>3</sub>
<sup>&#x2212;</sup>&#x2013;N content, the intermediate products of nitrification-denitrification, N<sub>2</sub>, and NH<sub>4</sub>, are also important factors that affect soil N<sub>2</sub>O emissions. Subsequent monitoring of N<sub>2</sub> and NH<sub>4</sub> should be conducted to further investigate the emission characteristics of soil N<sub>2</sub>O under different water nitrogen regulations.</p>
</sec>
</sec>
<sec id="s5" sec-type="conclusions">
<label>5</label>
<title>Conclusions</title>
<p>Soil NO<sub>3</sub>
<sup>&#x2212;</sup>&#x2013;N content exhibited a leaching trend with an increase in irrigation amount and an increasing trend with an increase in nitrogen application rate. Soil NO<sub>3</sub>
<sup>&#x2212;</sup>&#x2013;N accumulation (90.13&#x2013;185.91 kg&#xb7;ha<sup>&#x2212;1</sup>) gradually decreased with the increase in horizontal distance and increased with the increase in irrigation and nitrogen application. The total nitrogen content and uptake in all organs (roots, stems, leaves and fruits) exhibited threshold values in response to water and nitrogen, reaching their maximum under the W1N2 treatment. The maximum values were 3.25% and 27.82 kg&#xb7;ha<sup>&#x2212;1</sup>, 3.30% and 57.19 kg&#xb7;ha<sup>&#x2212;1</sup>, 3.91% and 11.88 kg&#xb7;ha<sup>&#x2212;1</sup>, 2.42% and 63.56 kg&#xb7;ha<sup>&#x2212;1</sup>, respectively. The flux of N<sub>2</sub>O emission ranged from 28.68&#x2013;177.91 ug&#xb7;m<sup>&#x2212;2</sup>&#xb7;h<sup>&#x2212;1</sup>, with total emissions ranged from 0.40&#x2013;1.67 kg&#xb7;ha<sup>&#x2212;1</sup>. The emission intensity varied from 0.08&#x2013;0.23 kg&#xb7;kg<sup>&#x2212;1</sup> and the emission coefficient ranged from 0.17%&#x2013;0.39%. These values exhibited an increasing trend with increasing irrigation. The total emission, emission intensity and emission coefficient of N<sub>2</sub>O reached their highest values in the W0N3 treatment (1.67 kg&#xb7;ha<sup>&#x2212;1</sup>), W3N3 treatment (0.23 kg&#xb7;kg<sup>&#x2212;1</sup>) and W0N1 treatment (0.39%) treatments, respectively. Based on the comprehensive evaluation of the CRITIC-entropy weights-TOPSIS model, it was concluded that a slight water deficit (65%&#x2013;75% &#x3b8;<sub>f</sub>) coupled with a nitrogen application rate (300 kg&#xb7;ha<sup>&#x2212;1</sup>) is an effective water and nitrogen control model to conserve water and reduce nitrogen in the production of wolfberry in the Yellow River irrigation region of Gansu Province.</p>
</sec>
<sec id="s6" sec-type="data-availability">
<title>Data availability statement</title>
<p>The raw data supporting the conclusions of this article will be made available by the authors, without undue reservation</p>
</sec>
<sec id="s7" sec-type="author-contributions">
<title>Author contributions</title>
<p>RT: Conceptualization, Data curation, Formal analysis, Investigation, Methodology, Writing &#x2013; original draft. JW: Conceptualization, Project administration, Supervision, Writing &#x2013; review &amp; editing. MY: Data curation, Formal analysis, Writing &#x2013; review &amp; editing. YM: Funding acquisition, Writing &#x2013; review &amp; editing. QJ: Funding acquisition, Writing &#x2013; review &amp; editing. YK: Funding acquisition, Writing &#x2013; review &amp; editing, Project administration. GQ: Formal analysis, Writing &#x2013; review &amp; editing. YG: Writing &#x2013; review &amp; editing, Investigation. YJ: Writing &#x2013; review &amp; editing, Methodology. HL: Writing &#x2013; review &amp; editing, Project administration. FX: Investigation, Writing &#x2013; review &amp; editing.</p>
</sec>
</body>
<back>
<sec id="s8" sec-type="funding-information">
<title>Funding</title>
<p>The author(s) declare that financial support was received for the research, authorship, and/or publication of this article. This study was funded by the National Natural Science Regional Foundation Project, China (Grant Nos. 51969003 and 52069001); the Industry Support Projects in Gansu Province Department of Education (2021CYZC-20); the Key Research and Development Project of Gansu Province, China (Grant No. 22YF7NA110); the Innovation Fund for Universities in Gansu Province, China (No. 2023A-054); the Science and Technology Program of Lanzhou City (2022-2-60); the Gansu Agricultural University youth mentor support fund project (Grant Nos. GAU-QDFC-2023-12 and GAU-QDFC-2022-22); the &#x201c;Northwest arid region Collaborative Utilization of water and soil resources innovation team&#x201d; of Gansu Agricultural University discipline team construction project (Grant No. GAU-XKTD-2022-09); the Agricultural Smart Water Saving Technology Innovation Center of Gansu Province; the Jingtai Wolfberry Science and Technology Academy of Gansu Province; the Harmless Wolfberry Cultivation Engineering Research Center of Gansu Province.</p>
</sec>
<ack>
<title>Acknowledgments</title>
<p>The authors would like to thank the Agricultural Smart Water Saving Technology Innovation Center of Gansu Province, the Jingtai Wolfberry Science and Technology Academy of Gansu Province, and the Harmless Wolfberry Cultivation Engineering Research Center of Gansu Province for their support of this study. We also gratefully acknowledge the editors and reviewers who put forward constructive comments on this article.</p>
</ack>
<sec id="s9" sec-type="COI-statement">
<title>Conflict of interest</title>
<p>The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec id="s10" sec-type="disclaimer">
<title>Publisher&#x2019;s note</title>
<p>All claims expressed in this article are solely those of the authors&#xa0;and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
<ref-list>
<title>References</title>
<ref id="B1">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Azad</surname> <given-names>N.</given-names>
</name>
<name>
<surname>Behmanesh</surname> <given-names>J.</given-names>
</name>
<name>
<surname>Rezaverdinejad</surname> <given-names>V.</given-names>
</name>
<name>
<surname>Abbasi</surname> <given-names>F.</given-names>
</name>
<name>
<surname>Navabian</surname> <given-names>M.</given-names>
</name>
</person-group> (<year>2020</year>). <article-title>An analysis of optimal fertigation implications in different soils on reducing environmental impacts of agricultural nitrate leaching</article-title>. <source>Sci. Rep.</source> <volume>10</volume>, <fpage>7797</fpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1038/s41598-020-64856-x</pub-id>
</citation>
</ref>
<ref id="B2">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Bai</surname> <given-names>Z. H.</given-names>
</name>
<name>
<surname>Lu</surname> <given-names>J.</given-names>
</name>
<name>
<surname>Zhao</surname> <given-names>H.</given-names>
</name>
<name>
<surname>Velthof</surname> <given-names>G. L.</given-names>
</name>
<name>
<surname>Oenema</surname> <given-names>O.</given-names>
</name>
<name>
<surname>Chadwick</surname> <given-names>D.</given-names>
</name>
<etal/>
</person-group>. (<year>2018</year>). <article-title>Designing vulnerable zones of nitrogen and phosphorus transfers to control water pollution in China</article-title>. <source>Environ. Sci. Technol.</source> <volume>52</volume>, <fpage>8987</fpage>&#x2013;<lpage>8988</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1021/acs.est.8b02651</pub-id>
</citation>
</ref>
<ref id="B3">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Burton</surname> <given-names>D. L.</given-names>
</name>
<name>
<surname>Zebarth</surname> <given-names>B. J.</given-names>
</name>
<name>
<surname>Gillam</surname> <given-names>K. M.</given-names>
</name>
<name>
<surname>MacLeod</surname> <given-names>J. A.</given-names>
</name>
</person-group> (<year>2008</year>). <article-title>Effect of split application of fertilizer nitrogen on N<sub>2</sub>O emissions from potatoes</article-title>. <source>Can. J. Soil Sci.</source> <volume>88</volume>, <fpage>229</fpage>&#x2013;<lpage>239</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.4141/CJSS06007</pub-id>
</citation>
</ref>
<ref id="B4">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Cambouris</surname> <given-names>A. N.</given-names>
</name>
<name>
<surname>Zebarth</surname> <given-names>B. J.</given-names>
</name>
<name>
<surname>Nolin</surname> <given-names>M. C.</given-names>
</name>
<name>
<surname>Laverdi&#xe8;re</surname> <given-names>M. R.</given-names>
</name>
</person-group> (<year>2008</year>). <article-title>Apparent fertilizer nitrogen recovery and residual soil nitrate under continuous potato cropping: Effect of N fertilization rate and timing</article-title>. <source>Can. J. Soil Sci.</source> <volume>88</volume>, <fpage>813</fpage>&#x2013;<lpage>825</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.4141/CJSS07107</pub-id>
</citation>
</ref>
<ref id="B5">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Cao</surname> <given-names>B.</given-names>
</name>
<name>
<surname>He</surname> <given-names>F. Y.</given-names>
</name>
<name>
<surname>Xu</surname> <given-names>Q. M.</given-names>
</name>
<name>
<surname>Yin</surname> <given-names>B.</given-names>
</name>
<name>
<surname>Cai</surname> <given-names>G. X.</given-names>
</name>
</person-group> (<year>2006</year>). <article-title>Denitrification losses and N<sub>2</sub>O emissions from nitrogen fertilizer applied to a vegetable field</article-title>. <source>Pedosphere</source> <volume>16</volume>, <fpage>390</fpage>&#x2013;<lpage>397</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1016/S1002-0160(06)60067-2</pub-id>
</citation>
</ref>
<ref id="B6">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Cao</surname> <given-names>K. X.</given-names>
</name>
<name>
<surname>Zhao</surname> <given-names>K.</given-names>
</name>
<name>
<surname>Jin</surname> <given-names>W. F. F.</given-names>
</name>
<name>
<surname>Zhu</surname> <given-names>T. Y.</given-names>
</name>
<name>
<surname>Shan</surname> <given-names>X. L.</given-names>
</name>
<name>
<surname>Mei</surname> <given-names>H.</given-names>
</name>
<etal/>
</person-group>. (<year>2022</year>). <article-title>Effects of water-nitrogen interaction on greenhouse gas emissions in a paddy soil</article-title>. <source>Acta Pedol. Sin.</source> <volume>59</volume>, <fpage>1386</fpage>&#x2013;<lpage>1396</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.11766/trxb202011250646</pub-id>
</citation>
</ref>
<ref id="B7">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Chen</surname> <given-names>H.</given-names>
</name>
<name>
<surname>Hou</surname> <given-names>H. J.</given-names>
</name>
<name>
<surname>Hu</surname> <given-names>H. W.</given-names>
</name>
<name>
<surname>Shang</surname> <given-names>Z. H.</given-names>
</name>
<name>
<surname>Zhu</surname> <given-names>Y.</given-names>
</name>
<name>
<surname>Cai</surname> <given-names>H. J.</given-names>
</name>
<etal/>
</person-group>. (<year>2018</year>). <article-title>Aeration of different irrigation levels affects net global warming potential and carbon footprint for greenhouse tomato systems</article-title>. <source>Sci. Hortic-Amsterdam</source> <volume>242</volume>, <fpage>10</fpage>&#x2013;<lpage>19</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1016/j.scienta.2018.07.021</pub-id>
</citation>
</ref>
<ref id="B8">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Chen</surname> <given-names>S. J.</given-names>
</name>
<name>
<surname>Li</surname> <given-names>F. S.</given-names>
</name>
<name>
<surname>Li</surname> <given-names>M. L.</given-names>
</name>
</person-group> (<year>2023</year>). <article-title>Effect of nitrogen fertigation management on soil nitrogen fractions and N<sub>2</sub>O emissions from ratoon sugarcane fields</article-title>. <source>J. South China Agric. Univ.</source> <volume>44</volume>, <fpage>230</fpage>&#x2013;<lpage>238</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.7671/j.issn.1001-411X.202112032</pub-id>
</citation>
</ref>
<ref id="B9">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Chen</surname> <given-names>Y. L.</given-names>
</name>
<name>
<surname>Zhang</surname> <given-names>P. P.</given-names>
</name>
<name>
<surname>Wang</surname> <given-names>L. F.</given-names>
</name>
<name>
<surname>Ma</surname> <given-names>G.</given-names>
</name>
<name>
<surname>Li</surname> <given-names>Z.</given-names>
</name>
<name>
<surname>Wang</surname> <given-names>C. Y.</given-names>
</name>
</person-group> (<year>2020</year>). <article-title>Interaction of nitrogen and phosphorus on wheat yield, N use efficiency and soil nitrate nitrogen distribution in the North China Plain</article-title>. <source>Int. J. Plant Prod.</source> <volume>14</volume>, <fpage>415</fpage>&#x2013;<lpage>426</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1007/s42106-020-00093-6</pub-id>
</citation>
</ref>
<ref id="B10">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Cong</surname> <given-names>X.</given-names>
</name>
<name>
<surname>Pang</surname> <given-names>G. B.</given-names>
</name>
<name>
<surname>Zhang</surname> <given-names>L. Z.</given-names>
</name>
<name>
<surname>Xu</surname> <given-names>Z. H.</given-names>
</name>
<name>
<surname>Yang</surname> <given-names>J. L.</given-names>
</name>
<name>
<surname>Mou</surname> <given-names>X. Y.</given-names>
</name>
</person-group> (<year>2021</year>). <article-title>Effects of nitrogen-reducing and suitable wateron photosynthetic characteristics of winter wheat and distribution of soil water and nitrogen</article-title>. <source>Trans. Chin. Soc Agric. Mach.</source> <volume>52</volume>, <fpage>324</fpage>&#x2013;<lpage>332</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.6041/j.issn.1000-1298.2021.06.034</pub-id>
</citation>
</ref>
<ref id="B11">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Cui</surname> <given-names>Z. L.</given-names>
</name>
<name>
<surname>Chen</surname> <given-names>X. P.</given-names>
</name>
<name>
<surname>Zhang</surname> <given-names>F. S.</given-names>
</name>
</person-group> (<year>2013</year>). <article-title>Development of regional nitrogen rate guidelines for intensive cropping systems in China</article-title>. <source>Agron. J.</source> <volume>105</volume>, <fpage>1411</fpage>&#x2013;<lpage>1416</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.2134/agronj2012.0398</pub-id>
</citation>
</ref>
<ref id="B12">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Dai</surname> <given-names>M.</given-names>
</name>
<name>
<surname>Zhang</surname> <given-names>Y. M.</given-names>
</name>
</person-group> (<year>2020</year>). <article-title>Effects of coupling of water and nitrogen on the accumulation of soil nitrogen in root zone and yield of rice</article-title>. <source>Res. Soil Water Conserv.</source> <volume>27</volume>, <fpage>168</fpage>&#x2013;<lpage>173</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.13869/j.cnki.rswc.2020.03.025</pub-id>
</citation>
</ref>
<ref id="B13">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Danial</surname> <given-names>F.</given-names>
</name>
<name>
<surname>Luisa</surname> <given-names>M. A.</given-names>
</name>
<name>
<surname>Giancarlo</surname> <given-names>C.</given-names>
</name>
</person-group> (<year>2022</year>). <article-title>Quality of Goji Berry Fruit (<italic>Lycium barbarum</italic> L.) Stored at Different Temperatures</article-title>. <source>Foods</source> <volume>11</volume>, <elocation-id>3700</elocation-id>. doi:&#xa0;<pub-id pub-id-type="doi">10.3390/FOODS11223700</pub-id>
</citation>
</ref>
<ref id="B14">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Dou</surname> <given-names>X.</given-names>
</name>
<name>
<surname>Shi</surname> <given-names>H. B.</given-names>
</name>
<name>
<surname>Li</surname> <given-names>R. P.</given-names>
</name>
<name>
<surname>Miao</surname> <given-names>Q. F.</given-names>
</name>
<name>
<surname>Tian</surname> <given-names>F.</given-names>
</name>
<name>
<surname>Yu</surname> <given-names>D. D.</given-names>
</name>
</person-group> (<year>2021</year>). <article-title>Effect of controlled drainage on loss and utilization of Nitrogen in Hetao Irrigation District</article-title>. <source>Trans. Chin. Soc. Agric. Mach.</source> <volume>52</volume>, <fpage>315&#x2013;322, 420</fpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.6041/j.issn.1000-1298.2021.11.034</pub-id>
</citation>
</ref>
<ref id="B15">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Du</surname> <given-names>Y. D.</given-names>
</name>
<name>
<surname>Niu</surname> <given-names>W. Q.</given-names>
</name>
<name>
<surname>Gu</surname> <given-names>X. B.</given-names>
</name>
<name>
<surname>Zhang</surname> <given-names>Q.</given-names>
</name>
<name>
<surname>Cui</surname> <given-names>B. J.</given-names>
</name>
</person-group> (<year>2018</year>). <article-title>Water-and nitrogen-saving potentials in tomato production. A mete-analysis</article-title>. <source>Agr. Water Manage.</source> <volume>210</volume>, <fpage>296</fpage>&#x2013;<lpage>303</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1016/j.agwat.2018.08.035</pub-id>
</citation>
</ref>
<ref id="B16">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Du</surname> <given-names>S. Y.</given-names>
</name>
<name>
<surname>Xue</surname> <given-names>F.</given-names>
</name>
<name>
<surname>Wu</surname> <given-names>H. Q.</given-names>
</name>
<name>
<surname>Zou</surname> <given-names>H. T.</given-names>
</name>
<name>
<surname>Zhang</surname> <given-names>Y. L.</given-names>
</name>
<name>
<surname>Zhang</surname> <given-names>Y. L.</given-names>
</name>
<etal/>
</person-group>. (<year>2019</year>). <article-title>Interactive effect of irrigation and nitrogen fertilization on greenhouse gas emissions from greenhouse soil</article-title>. <source>J. Agro-Environ. Sci.</source> <volume>38</volume>, <fpage>476</fpage>&#x2013;<lpage>484</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.11654/jaes.2018-0408</pub-id>
</citation>
</ref>
<ref id="B17">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Filipovi&#x107;</surname> <given-names>V.</given-names>
</name>
<name>
<surname>Romi&#x107;</surname> <given-names>D.</given-names>
</name>
<name>
<surname>Romi&#x107;</surname> <given-names>M.</given-names>
</name>
<name>
<surname>Boro&#x161;i&#x107;</surname> <given-names>J.</given-names>
</name>
<name>
<surname>Filipovi&#x107;</surname> <given-names>L.</given-names>
</name>
<name>
<surname>Mallmann</surname> <given-names>F. J. K.</given-names>
</name>
<etal/>
</person-group>. (<year>2016</year>). <article-title>Plastic mulch and nitrogen fertigation in growing vegetables modify soil temperature, water and nitrate dynamics: Experimental results and a modeling study</article-title>. <source>Agr. Water Manage.</source> <volume>176</volume>, <fpage>100</fpage>&#x2013;<lpage>110</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1016/j.agwat.2016.04.020</pub-id>
</citation>
</ref>
<ref id="B18">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Gao</surname> <given-names>X. P.</given-names>
</name>
<name>
<surname>Tenuta</surname> <given-names>M.</given-names>
</name>
<name>
<surname>Nelson</surname> <given-names>A.</given-names>
</name>
<name>
<surname>Sparling</surname> <given-names>B.</given-names>
</name>
<name>
<surname>Tomasiewicz</surname> <given-names>D.</given-names>
</name>
<name>
<surname>Mohr</surname> <given-names>R. M.</given-names>
</name>
<etal/>
</person-group>. (<year>2013</year>). <article-title>Effect of nitrogen fertilizer rate on nitrous oxide emission from irrigated potato on a clay loam soil in Manitoba, Canada</article-title>. <source>Can. J. Soil Sci.</source> <volume>93</volume>, <fpage>1</fpage>&#x2013;<lpage>11</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.4141/cjss2012-057</pub-id>
</citation>
</ref>
<ref id="B19">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Gu</surname> <given-names>X. B.</given-names>
</name>
<name>
<surname>Li</surname> <given-names>Y. N.</given-names>
</name>
<name>
<surname>Huang</surname> <given-names>L.</given-names>
</name>
<name>
<surname>Du</surname> <given-names>Y. D.</given-names>
</name>
<name>
<surname>Chen</surname> <given-names>P. P.</given-names>
</name>
<name>
<surname>Fang</surname> <given-names>H.</given-names>
</name>
</person-group> (<year>2018</year>). <article-title>Effects of irrigation and nitrogen coupling on nitrogen absorption and soil nitrate content of winter oilseed rape</article-title>. <source>Sci. Agric. Sin.</source> <volume>51</volume>, <fpage>1283</fpage>&#x2013;<lpage>1293</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.3864/j.issn.0578-1752.2018.07.006</pub-id>
</citation>
</ref>
<ref id="B20">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Hou</surname> <given-names>H. J.</given-names>
</name>
<name>
<surname>Chen</surname> <given-names>H.</given-names>
</name>
<name>
<surname>Cai</surname> <given-names>H. J.</given-names>
</name>
<name>
<surname>Yang</surname> <given-names>F.</given-names>
</name>
<name>
<surname>Li</surname> <given-names>D.</given-names>
</name>
<name>
<surname>Wang</surname> <given-names>F. T.</given-names>
</name>
</person-group> (<year>2016</year>). <article-title>CO<sub>2</sub> and N<sub>2</sub>O emissions from Lou soils of greenhouse tomato fields under aerated irrigation</article-title>. <source>Atmos Environ.</source> <volume>132</volume>, <fpage>69</fpage>&#x2013;<lpage>76</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1016/j.atmosenv.2016.02.027</pub-id>
</citation>
</ref>
<ref id="B21">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Iranzi</surname> <given-names>E. R.</given-names>
</name>
<name>
<surname>Wang</surname> <given-names>W. M.</given-names>
</name>
<name>
<surname>Li</surname> <given-names>Y. T.</given-names>
</name>
<name>
<surname>Li.</surname> <given-names>X. J.</given-names>
</name>
</person-group> (<year>2023</year>). <article-title>Translocation of nitrate in rice rhizosphere and total nitrogen uptake improvement under interactive effect of water and nitrogen supply</article-title>. <source>Commun. Soil Sci. Plan.</source> <volume>54</volume>, <fpage>378</fpage>&#x2013;<lpage>391</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1080/00103624.2022.2115059</pub-id>
</citation>
</ref>
<ref id="B22">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Ju</surname> <given-names>X. T.</given-names>
</name>
<name>
<surname>Gu</surname> <given-names>B. J.</given-names>
</name>
<name>
<surname>Wu</surname> <given-names>Y. Y.</given-names>
</name>
<name>
<surname>Galloway</surname> <given-names>J. N.</given-names>
</name>
</person-group> (<year>2016</year>). <article-title>Reducing China&#x2019;s fertilizer use by increasing farm size</article-title>. <source>GEC Advances.</source> <volume>41</volume>, <fpage>26</fpage>&#x2013;<lpage>32</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1016/j.gloenvcha.2016.08.005</pub-id>
</citation>
</ref>
<ref id="B23">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Li</surname> <given-names>Q.</given-names>
</name>
<name>
<surname>Bian</surname> <given-names>C. Y.</given-names>
</name>
<name>
<surname>Liu</surname> <given-names>X. H.</given-names>
</name>
<name>
<surname>Ma</surname> <given-names>C. J.</given-names>
</name>
<name>
<surname>Liu</surname> <given-names>Q. R.</given-names>
</name>
</person-group> (<year>2015</year>). <article-title>Winter wheat grain yield and water use efficiency in wide-precision planting pattern under deficit irrigation in North China Plain</article-title>. <source>Agr. Water Manage.</source> <volume>153</volume>, <fpage>71</fpage>&#x2013;<lpage>76</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1016/j.agwat.2015.02.004</pub-id>
</citation>
</ref>
<ref id="B24">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Li</surname> <given-names>J. Z.</given-names>
</name>
<name>
<surname>Wang</surname> <given-names>E. L.</given-names>
</name>
<name>
<surname>Wang</surname> <given-names>Y. C.</given-names>
</name>
<name>
<surname>Xing</surname> <given-names>H. T.</given-names>
</name>
<name>
<surname>Wang</surname> <given-names>D. L.</given-names>
</name>
<name>
<surname>Wang</surname> <given-names>L. G.</given-names>
</name>
<etal/>
</person-group>. (<year>2016</year>). <article-title>Reducing greenhouse gas emissions from a wheat-maize rotation system while still maintaining productivity</article-title>. <source>Agr. Syst.</source> <volume>145</volume>, <fpage>90</fpage>&#x2013;<lpage>98</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1016/j.agsy.2016.03.007</pub-id>
</citation>
</ref>
<ref id="B25">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Li</surname> <given-names>L. F.</given-names>
</name>
<name>
<surname>Zheng</surname> <given-names>Z. Z.</given-names>
</name>
<name>
<surname>Wang</surname> <given-names>W. J.</given-names>
</name>
<name>
<surname>Biederman</surname> <given-names>J. A.</given-names>
</name>
<name>
<surname>Xu</surname> <given-names>X. L.</given-names>
</name>
<name>
<surname>Ran</surname> <given-names>Q. W.</given-names>
</name>
<etal/>
</person-group>. (<year>2020</year>). <article-title>Terrestrial N<sub>2</sub>O emissions and related functional genes under climate change: A global meta-analysis</article-title>. <source>Global Change Biol.</source> <volume>26</volume>, <fpage>931</fpage>&#x2013;<lpage>943</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1111/gcb.14847</pub-id>
</citation>
</ref>
<ref id="B26">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Liao</surname> <given-names>H.</given-names>
</name>
<name>
<surname>Gan</surname> <given-names>H. T.</given-names>
</name>
<name>
<surname>Liu</surname> <given-names>K.</given-names>
</name>
<name>
<surname>Yin</surname> <given-names>X.</given-names>
</name>
<name>
<surname>Liu</surname> <given-names>S. H.</given-names>
</name>
<name>
<surname>Tang</surname> <given-names>X. Y.</given-names>
</name>
<etal/>
</person-group>. (<year>2021</year>). <article-title>Optimal water scheme and N rate for high N uptake and yield of machine-harvested cotton</article-title>. <source>Plant Nutr. Fert. Sci.</source> <volume>27</volume>, <fpage>2229</fpage>&#x2013;<lpage>2242</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.11674/zwyf.2021180</pub-id>
</citation>
</ref>
<ref id="B27">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Liu</surname> <given-names>P.</given-names>
</name>
<name>
<surname>Huang</surname> <given-names>J. H.</given-names>
</name>
<name>
<surname>Han</surname> <given-names>X. G.</given-names>
</name>
<name>
<surname>Sun</surname> <given-names>O. J.</given-names>
</name>
<name>
<surname>Zhou</surname> <given-names>Z. Y.</given-names>
</name>
</person-group> (<year>2006</year>). <article-title>Differential responses of litter decomposition to increased soil nutrients and water between two contrasting grassland plant species of Inner Mongolia, China</article-title>. <source>Appl. Soil .Ecol.</source> <volume>34</volume>, <fpage>266</fpage>&#x2013;<lpage>275</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1016/j.apsoil.2005.12.009</pub-id>
</citation>
</ref>
<ref id="B28">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Liu</surname> <given-names>X. J.</given-names>
</name>
<name>
<surname>Mosier</surname> <given-names>A. R.</given-names>
</name>
<name>
<surname>Halvorson</surname> <given-names>A. D.</given-names>
</name>
<name>
<surname>Reule</surname> <given-names>C. A.</given-names>
</name>
<name>
<surname>Zhang</surname> <given-names>F. S.</given-names>
</name>
</person-group> (<year>2007</year>). <article-title>Dinitrogen and N<sub>2</sub>O emissions in arable soils effect of tillage, N source and soil moisture</article-title>. <source>Soil Biol. Biochem.</source> <volume>39</volume>, <fpage>2362</fpage>&#x2013;<lpage>2370</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1016/j.soilbio.2007.04.008</pub-id>
</citation>
</ref>
<ref id="B29">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Lu</surname> <given-names>J. J.</given-names>
</name>
<name>
<surname>Nie</surname> <given-names>Y. F.</given-names>
</name>
<name>
<surname>Wei</surname> <given-names>J. J.</given-names>
</name>
<name>
<surname>Sheng</surname> <given-names>H. Y.</given-names>
</name>
<name>
<surname>Hua</surname> <given-names>M. X.</given-names>
</name>
<name>
<surname>Xu</surname> <given-names>M. C.</given-names>
</name>
<etal/>
</person-group>. (<year>2022</year>). <article-title>Effects of different nitrogen application measures on NH<sub>3</sub> volatilization and N<sub>2</sub>O emissions in a wolfberry orchard</article-title>. <source>J. Agro-Environ. Sci.</source> <volume>41</volume>, <fpage>210</fpage>&#x2013;<lpage>220</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.11654/jaes.2021-0702</pub-id>
</citation>
</ref>
<ref id="B30">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Ma</surname> <given-names>X. C.</given-names>
</name>
<name>
<surname>Ma</surname> <given-names>G. C.</given-names>
</name>
<name>
<surname>Xuan</surname> <given-names>Z. Y.</given-names>
</name>
<name>
<surname>Min</surname> <given-names>H. Z.</given-names>
</name>
<name>
<surname>Qi</surname> <given-names>Z. W.</given-names>
</name>
<name>
<surname>Chen</surname> <given-names>H. Y.</given-names>
</name>
<etal/>
</person-group>. (<year>2023</year>). <article-title>Effects of water of nitrogen coupling on nutrient absorption and utilization of water and fertilizer in cucumber</article-title>. <source>China Soils Fert.</source> <volume>2023</volume>, <fpage>39</fpage>&#x2013;<lpage>47</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.11838/sfsc.1673-6257.21650</pub-id>
</citation>
</ref>
<ref id="B31">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Mahdi</surname> <given-names>G.</given-names>
</name>
<name>
<surname>Seyed</surname> <given-names>M. M.</given-names>
</name>
<name>
<surname>Mehdi</surname> <given-names>H.</given-names>
</name>
<name>
<surname>Mohammad</surname> <given-names>E. A.</given-names>
</name>
<name>
<surname>Gerrit</surname> <given-names>H.</given-names>
</name>
</person-group> (<year>2009</year>). <article-title>Nitrate leaching in a silage maize field under different irrigation and nitrogen fertilizer rates</article-title>. <source>Agr. Water Manage.</source> <volume>96</volume>, <fpage>946</fpage>&#x2013;<lpage>954</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1016/j.agwat.2009.01.005</pub-id>
</citation>
</ref>
<ref id="B32">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Mario</surname> <given-names>C.</given-names>
</name>
<name>
<surname>Abraham.</surname> <given-names>J.</given-names>
</name>
<name>
<surname>Ingrid</surname> <given-names>W.</given-names>
</name>
<name>
<surname>Rui</surname> <given-names>B.</given-names>
</name>
<name>
<surname>Ingmar</surname> <given-names>M.</given-names>
</name>
</person-group> (<year>2017</year>). <article-title>Response of maize root growth to irrigation and nitrogen management strategies in semi-arid loamy sandy soil</article-title>. <source>Field Crop Res.</source> <volume>200</volume>, <fpage>143</fpage>&#x2013;<lpage>162</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1016/j.fcr.2016.10.005</pub-id>
</citation>
</ref>
<ref id="B33">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Mohkum</surname> <given-names>H. H.</given-names>
</name>
<name>
<surname>Farhat</surname> <given-names>A.</given-names>
</name>
<name>
<surname>Ashfaq</surname> <given-names>A.</given-names>
</name>
<name>
<surname>Wajid</surname> <given-names>F.</given-names>
</name>
<name>
<surname>Wilkerson</surname> <given-names>C. J.</given-names>
</name>
<name>
<surname>Gerrit</surname> <given-names>H.</given-names>
</name>
</person-group> (<year>2023</year>). <article-title>Water and nitrogen management influence on oil and protein concentration in maize</article-title>. <source>Agron. J.</source> <volume>115</volume>, <fpage>557</fpage>&#x2013;<lpage>568</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1002/agj2.21275</pub-id>
</citation>
</ref>
<ref id="B34">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Peyron</surname> <given-names>M.</given-names>
</name>
<name>
<surname>Bertora</surname> <given-names>C.</given-names>
</name>
<name>
<surname>Pelissetti</surname> <given-names>S.</given-names>
</name>
<name>
<surname>Said</surname> <given-names>P. D.</given-names>
</name>
<name>
<surname>Celi</surname> <given-names>L.</given-names>
</name>
<name>
<surname>Miniotti</surname> <given-names>E.</given-names>
</name>
<etal/>
</person-group>. (<year>2016</year>). <article-title>Greenhouse gas emissions as affected by different water management practices in temperate rice paddies</article-title>. <source>Agric. Ecosyst. Environ.</source> <volume>232</volume>, <fpage>17</fpage>&#x2013;<lpage>28</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1016/j.agee.2016.07.021</pub-id>
</citation>
</ref>
<ref id="B35">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Qin</surname> <given-names>S. S.</given-names>
</name>
<name>
<surname>Hou</surname> <given-names>Z. J.</given-names>
</name>
<name>
<surname>Wu</surname> <given-names>Z. D.</given-names>
</name>
<name>
<surname>Ma</surname> <given-names>D. H.</given-names>
</name>
<name>
<surname>Huang</surname> <given-names>P.</given-names>
</name>
</person-group> (<year>2017</year>). <article-title>Effects of water and nitrogen coupling on nitrogen absorption and yield of winter wheat</article-title>. <source>J. Drain. Irrig. Mach. Eng.</source> <volume>35</volume>, <fpage>440</fpage>&#x2013;<lpage>447</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.3969/j.issn.1674-8530.16.0100</pub-id>
</citation>
</ref>
<ref id="B36">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Qin</surname> <given-names>Z. Y.</given-names>
</name>
<name>
<surname>Zhang</surname> <given-names>Z. X.</given-names>
</name>
<name>
<surname>Sun</surname> <given-names>D.</given-names>
</name>
<name>
<surname>Song</surname> <given-names>J.</given-names>
</name>
<name>
<surname>Zhang</surname> <given-names>Z. H.</given-names>
</name>
<name>
<surname>Li</surname> <given-names>T. C.</given-names>
</name>
</person-group> (<year>2021</year>). <article-title>Effect of water and nitrogen coupling on rice yield and nitrogen absorption and utilization in black soil</article-title>. <source>Trans. Chin. Soc. Agric. Mach.</source> <volume>52</volume>, <fpage>324</fpage>&#x2013;<lpage>335, 357</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.6041/j.issn.1000-1298.2021.12.034</pub-id>
</citation>
</ref>
<ref id="B37">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Shelton</surname> <given-names>D. R.</given-names>
</name>
<name>
<surname>Sadeghi</surname> <given-names>A. M.</given-names>
</name>
<name>
<surname>Mcarty</surname> <given-names>G. W.</given-names>
</name>
</person-group> (<year>2000</year>). <article-title>Effect of soil water content on denitrification during cover crop decomposition</article-title>. <source>Soil Sci.</source> <volume>165</volume>, <fpage>365</fpage>&#x2013;<lpage>371</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1097/00010694-200004000-00007</pub-id>
</citation>
</ref>
<ref id="B38">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Si</surname> <given-names>Z. Y.</given-names>
</name>
<name>
<surname>Gao</surname> <given-names>Y.</given-names>
</name>
<name>
<surname>Shen</surname> <given-names>X. J.</given-names>
</name>
<name>
<surname>Liu</surname> <given-names>H.</given-names>
</name>
<name>
<surname>Gong</surname> <given-names>X. W.</given-names>
</name>
<name>
<surname>Duan</surname> <given-names>A. W.</given-names>
</name>
</person-group> (<year>2017</year>). <article-title>Effects of nitrogen and irrigation water application on yield, water and nitrogen utilization and soil nitrate nitrogen accumulation in summer cotton</article-title>. <source>Chin. J. Appl. Ecol.</source> <volume>28</volume>, <fpage>3945</fpage>&#x2013;<lpage>3954</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.13287/j.1001-9332.201712.022</pub-id>
</citation>
</ref>
<ref id="B39">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Song</surname> <given-names>L. N.</given-names>
</name>
<name>
<surname>Zhang</surname> <given-names>Y. M.</given-names>
</name>
<name>
<surname>Hu</surname> <given-names>C. S.</given-names>
</name>
<name>
<surname>Zhang</surname> <given-names>X. Y.</given-names>
</name>
<name>
<surname>Dong</surname> <given-names>W. X.</given-names>
</name>
<name>
<surname>Wang</surname> <given-names>Y. Y.</given-names>
</name>
<etal/>
</person-group>. (<year>2013</year>). <article-title>Comprehensive analysis of emissions and global warming effects of greenhouse gases in winter-wheat fields in the high-yield agro-region of North China Plain</article-title>. <source>Chin. J. Eco-Agric.</source> <volume>21</volume>, <fpage>297</fpage>&#x2013;<lpage>307</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.3724/SP.J.1011.2013.00297</pub-id>
</citation>
</ref>
<ref id="B40">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Stehfest</surname> <given-names>E.</given-names>
</name>
<name>
<surname>Bouwman</surname> <given-names>L. F.</given-names>
</name>
</person-group> (<year>2019</year>). <article-title>N<sub>2</sub>O and NO emission from agricultural fields and soils under natural vegetation: summarizing available measurement data and modeling of global annual emissions</article-title>. <source>Nutr. Cycl Agroecosys.</source> <volume>74</volume>, <fpage>207</fpage>&#x2013;<lpage>228</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1007/s10705-006-9000-7</pub-id>
</citation>
</ref>
<ref id="B41">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Sun</surname> <given-names>Y. J.</given-names>
</name>
<name>
<surname>Sun</surname> <given-names>Y. Y.</given-names>
</name>
<name>
<surname>Li</surname> <given-names>X. Y.</given-names>
</name>
<name>
<surname>Guo</surname> <given-names>X.</given-names>
</name>
<name>
<surname>Ma</surname> <given-names>J.</given-names>
</name>
</person-group> (<year>2009</year>). <article-title>Relationship of activities of key enzymes involved in nitrogen metabo-lism with nitrogen utilization in rice under water-nitrogen interaction</article-title>. <source>Acta Agron. Sin.</source> <volume>35</volume>, <fpage>2055</fpage>&#x2013;<lpage>2063</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.3724/SP.J.1006.2009.02055</pub-id>
</citation>
</ref>
<ref id="B42">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Tian</surname> <given-names>R. R.</given-names>
</name>
<name>
<surname>Qi</surname> <given-names>G. P.</given-names>
</name>
<name>
<surname>Kang</surname> <given-names>Y. X.</given-names>
</name>
<name>
<surname>Jia</surname> <given-names>Q.</given-names>
</name>
<name>
<surname>Wang</surname> <given-names>J. H.</given-names>
</name>
<name>
<surname>Xiao</surname> <given-names>F.</given-names>
</name>
<etal/>
</person-group>. (<year>2023</year>). <article-title>Effects of irrigation and nitrogen application on soil water and nitrogen distribution and water-nitrogen utilization of wolfberry in the Yellow River Irrigation Region of Gansu Province, China</article-title>. <source>Front. Plant Sci.</source> <volume>14</volume>. doi:&#xa0;<pub-id pub-id-type="doi">10.3389/fpls.2023.1309219</pub-id>
</citation>
</ref>
<ref id="B43">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Vijayalakshmi</surname> <given-names>P.</given-names>
</name>
<name>
<surname>Kiran</surname> <given-names>T. V.</given-names>
</name>
<name>
<surname>Rao</surname> <given-names>Y. V.</given-names>
</name>
<name>
<surname>Srikanth</surname> <given-names>B.</given-names>
</name>
<name>
<surname>Rao</surname> <given-names>I. S.</given-names>
</name>
<name>
<surname>Sailaja</surname> <given-names>B.</given-names>
</name>
<etal/>
</person-group>. (<year>2013</year>). <article-title>Physiological approaches for increasing nitrogen use efficiency in rice</article-title>. <source>Plant Physiol. Res.</source> <volume>18</volume>, <fpage>208</fpage>&#x2013;<lpage>222</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1007/s40502-013-0042-y</pub-id>
</citation>
</ref>
<ref id="B44">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Wang</surname> <given-names>C.</given-names>
</name>
<name>
<surname>Chen</surname> <given-names>B. L.</given-names>
</name>
<name>
<surname>Yu</surname> <given-names>S. F. J. Y. S. Y.</given-names>
</name>
<name>
<surname>Wang</surname> <given-names>Q. D.</given-names>
</name>
<name>
<surname>Chai</surname> <given-names>Z. P.</given-names>
</name>
</person-group> (<year>2019</year>). <article-title>Effect of nitrogen application rate on ammonia volatilization and nitrous oxide emission in Korla fragrant pear orchard</article-title>. <source>Agric. Res. Arid Areas.</source> <volume>37</volume>, <fpage>157</fpage>&#x2013;<lpage>164</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.7606/j.issn.1000-7601.2019.05.23</pub-id>
</citation>
</ref>
<ref id="B45">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Wang</surname> <given-names>X. Y.</given-names>
</name>
<name>
<surname>He</surname> <given-names>M. R.</given-names>
</name>
<name>
<surname>Liu</surname> <given-names>Y. H.</given-names>
</name>
<name>
<surname>Zhang</surname> <given-names>H. H.</given-names>
</name>
<name>
<surname>Li</surname> <given-names>F.</given-names>
</name>
<name>
<surname>Hua</surname> <given-names>F. X.</given-names>
</name>
<etal/>
</person-group>. (<year>2008</year>). <article-title>Interactive effects of irrigation and nitrogen fertilizer on nitrogen fertilizer recovery and nitrate-N movement across soil profile in a winter wheat field</article-title>. <source>Acta Ecol. Sin.</source> <volume>28</volume>, <fpage>685</fpage>&#x2013;<lpage>694</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.3321/j.issn:1000-0933.2008.02.029</pub-id>
</citation>
</ref>
<ref id="B46">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Wang</surname> <given-names>X.</given-names>
</name>
<name>
<surname>Li</surname> <given-names>W. Y.</given-names>
</name>
<name>
<surname>An</surname> <given-names>J. Q.</given-names>
</name>
<name>
<surname>Shi</surname> <given-names>H. Z.</given-names>
</name>
<name>
<surname>Tang</surname> <given-names>Z. J.</given-names>
</name>
<name>
<surname>Zhao</surname> <given-names>X.</given-names>
</name>
<etal/>
</person-group>. (<year>2023</year>). <article-title>Effects of nitrogen supply on dry matter accumulation, water-Nitrogen use efficiency and grain yield of soybean (<italic>Glycine max</italic> L.) under Different Mulching Methods</article-title>. <source>Agronomy.</source> <volume>13</volume>, <elocation-id>606</elocation-id>. doi:&#xa0;<pub-id pub-id-type="doi">10.3390/AGRONOMY13020606</pub-id>
</citation>
</ref>
<ref id="B47">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Wang</surname> <given-names>Y. Y.</given-names>
</name>
<name>
<surname>Li</surname> <given-names>X. X.</given-names>
</name>
<name>
<surname>Dong</surname> <given-names>W. X.</given-names>
</name>
<name>
<surname>Zhang</surname> <given-names>Y. M.</given-names>
</name>
<name>
<surname>Qin</surname> <given-names>S. P.</given-names>
</name>
<name>
<surname>Hu</surname> <given-names>C. S.</given-names>
</name>
</person-group> (<year>2018</year>a). <article-title>Review on greenhouse gas emission and reduction in wheat-maize double cropping system in the North China Plain</article-title>. <source>Chin. J. Eco-Agric.</source> <volume>682</volume> (<issue>2</issue>), <fpage>167</fpage>&#x2013;<lpage>174</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.13930/j.cnki.cjea.171117</pub-id>
</citation>
</ref>
<ref id="B48">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Wang</surname> <given-names>D.</given-names>
</name>
<name>
<surname>Li</surname> <given-names>G. Y.</given-names>
</name>
<name>
<surname>Mo</surname> <given-names>Y.</given-names>
</name>
<name>
<surname>Cai</surname> <given-names>M. K.</given-names>
</name>
<name>
<surname>Bian</surname> <given-names>X. Y.</given-names>
</name>
</person-group> (<year>2018</year>b). <article-title>Evaluation of optimal nitrogen rate for corn production under mulched drip fertigation and economic benefits</article-title>. <source>Field Crop Res.</source> <volume>216</volume>, <fpage>225</fpage>&#x2013;<lpage>233</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1016/j.fcr.2017.10.002</pub-id>
</citation>
</ref>
<ref id="B49">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Wang</surname> <given-names>A. X.</given-names>
</name>
<name>
<surname>Ma</surname> <given-names>Y. L.</given-names>
</name>
<name>
<surname>Qi</surname> <given-names>G. P.</given-names>
</name>
<name>
<surname>Kang</surname> <given-names>Y. X.</given-names>
</name>
<name>
<surname>Yin</surname> <given-names>M. H.</given-names>
</name>
<name>
<surname>Wang</surname> <given-names>J. H.</given-names>
</name>
<etal/>
</person-group>. (<year>2022</year>). <article-title>Water and nitrogen regulation patterns for productivity improvement of <italic>Bromus inermis</italic> and <italic>Alfalfa</italic> mixed grassland</article-title>. <source>J. Soil Water Conserv.</source> <volume>36</volume>, <fpage>322</fpage>&#x2013;<lpage>330</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.13870/j.cnki.stbcxb.2022.02.041</pub-id>
</citation>
</ref>
<ref id="B50">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Wu</surname> <given-names>P. D.</given-names>
</name>
<name>
<surname>Chen</surname> <given-names>C.</given-names>
</name>
<name>
<surname>Ren</surname> <given-names>X. M.</given-names>
</name>
</person-group> (<year>2022</year>b). <article-title>Effects of straw returning depth on soil nitrate nitrogen during wheat growth period</article-title>. <source>Environ. Sci. Tech.</source> <volume>45</volume>, <fpage>103</fpage>&#x2013;<lpage>108</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.19672/j.cnki.1003-6504.1611.22.338</pub-id>
</citation>
</ref>
<ref id="B51">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Wu</surname> <given-names>J. Z.</given-names>
</name>
<name>
<surname>Li</surname> <given-names>S. H.</given-names>
</name>
<name>
<surname>Li</surname> <given-names>G. Q.</given-names>
</name>
<name>
<surname>Huang</surname> <given-names>M.</given-names>
</name>
<name>
<surname>Fu</surname> <given-names>G. Z.</given-names>
</name>
<name>
<surname>Li</surname> <given-names>Y. J.</given-names>
</name>
<etal/>
</person-group>. (<year>2023</year>). <article-title>Effects of irrigation and topdressing nitrogen at jointing stage on grain yield and quality of furrow-seeding wheat in dryland</article-title>. <source>Acta Agric. Boreali-Sin.</source> <volume>38</volume>, <fpage>100</fpage>&#x2013;<lpage>107</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.7668/hbnxb.20193771</pub-id>
</citation>
</ref>
<ref id="B52">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Wu</surname> <given-names>M. K.</given-names>
</name>
<name>
<surname>Su</surname> <given-names>Q. W.</given-names>
</name>
<name>
<surname>Song</surname> <given-names>Z.</given-names>
</name>
<name>
<surname>Jiang</surname> <given-names>H.</given-names>
</name>
<name>
<surname>Li</surname> <given-names>Y. Z.</given-names>
</name>
<name>
<surname>Wei</surname> <given-names>X. S.</given-names>
</name>
<etal/>
</person-group>. (<year>2022</year>a). <article-title>Effects of water-nitrogen interaction coupled with straw addition on rice paddy field grain yield and greenhouse gas emissions</article-title>. <source>Int. J. Plant Prod.</source> <volume>16</volume>, <fpage>1</fpage>&#x2013;<lpage>11</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1007/s42106-022-00185-5</pub-id>
</citation>
</ref>
<ref id="B53">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Xing</surname> <given-names>H. B.</given-names>
</name>
<name>
<surname>Cong</surname> <given-names>X.</given-names>
</name>
<name>
<surname>Pang</surname> <given-names>G. B.</given-names>
</name>
</person-group> (<year>2021</year>). <article-title>The optimal scheme of summer maize in Shandong under the control of water and fertilizer</article-title>. <source>IOP Conf. Ser.: Earth Environ. Sci.</source> <volume>784</volume>, <fpage>26</fpage>&#x2013;<lpage>28</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1088/1755-1315/784/1/012026</pub-id>
</citation>
</ref>
<ref id="B54">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Yan</surname> <given-names>C. P.</given-names>
</name>
<name>
<surname>Zhang</surname> <given-names>Y. M.</given-names>
</name>
<name>
<surname>Hu</surname> <given-names>C. S.</given-names>
</name>
<name>
<surname>Dong</surname> <given-names>W. X.</given-names>
</name>
<name>
<surname>Wang</surname> <given-names>Y. Y.</given-names>
</name>
<name>
<surname>Li</surname> <given-names>X. X.</given-names>
</name>
<etal/>
</person-group>. (<year>2016</year>). <article-title>Greenhouse gas exchange and comprehensive global warming potential under different wheat-maize rotation patterns</article-title>. <source>Chin. J. Eco-Agric.</source> <volume>24</volume>, <fpage>704</fpage>&#x2013;<lpage>715</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.13930/j.cnki.cjea.160261</pub-id>
</citation>
</ref>
<ref id="B55">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Yang</surname> <given-names>S. C.</given-names>
</name>
<name>
<surname>Wang</surname> <given-names>C. B.</given-names>
</name>
<name>
<surname>Huo</surname> <given-names>L.</given-names>
</name>
<name>
<surname>Jiang</surname> <given-names>W. L.</given-names>
</name>
<name>
<surname>Wen</surname> <given-names>M. J.</given-names>
</name>
</person-group> (<year>2019</year>). <article-title>Effects of different tillage practices on soil organic carbon of cultivated land in Gansu Yellow River irrigation district</article-title>. <source>Trans. Chin. Soc Agric. Eng.</source> <volume>35</volume>, <fpage>114</fpage>&#x2013;<lpage>121</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.11975/j.issn.1002-6819.2019.02.015</pub-id>
</citation>
</ref>
<ref id="B56">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Ye</surname> <given-names>S.</given-names>
</name>
<name>
<surname>Li</surname> <given-names>C. Y.</given-names>
</name>
<name>
<surname>Qiu</surname> <given-names>X.</given-names>
</name>
<name>
<surname>Xiong</surname> <given-names>B.</given-names>
</name>
<name>
<surname>Sun</surname> <given-names>G. C.</given-names>
</name>
<name>
<surname>Huang</surname> <given-names>S. J.</given-names>
</name>
<etal/>
</person-group>. (<year>2017</year>). <article-title>Application of combination weighting based TOPSIS model in fruit quality evaluation</article-title>. <source>J. Northwest Sci-Tech Univ. Agric. For. (Nat. Sci. Ed.).</source> <volume>45</volume>, <fpage>111</fpage>&#x2013;<lpage>121</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.13207/j.cnki.jnwafu.2017.10.014</pub-id>
</citation>
</ref>
<ref id="B57">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Zhang</surname> <given-names>M.</given-names>
</name>
<name>
<surname>Chen</surname> <given-names>Z. Z.</given-names>
</name>
<name>
<surname>Li</surname> <given-names>Q. L.</given-names>
</name>
<name>
<surname>Chang</surname> <given-names>H. F.</given-names>
</name>
<name>
<surname>Zheng</surname> <given-names>Q. X.</given-names>
</name>
</person-group> (<year>2015</year>). <article-title>Quantitative relationship between nitrous oxide emissions and nitrogen application rate fora typical intensive vegetable cropping system in Southeastern China</article-title>. <source>CLEAN &#x2013; Soil Air Water.</source> <volume>44</volume>, <fpage>1725</fpage>&#x2013;<lpage>1732</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1002/clen.201400266</pub-id>
</citation>
</ref>
<ref id="B58">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Zhang</surname> <given-names>H.</given-names>
</name>
<name>
<surname>Zeng</surname> <given-names>X.</given-names>
</name>
<name>
<surname>Wang</surname> <given-names>A. L.</given-names>
</name>
<name>
<surname>Ha</surname> <given-names>L. H. S. Y. B. T.</given-names>
</name>
<name>
<surname>Li</surname> <given-names>Q. J.</given-names>
</name>
<name>
<surname>Zhang</surname> <given-names>Y.</given-names>
</name>
</person-group> (<year>2021</year>). <article-title>Effects of different nitrogen application rates on yield, nutrient uptake and nitrogen utilization of c0tton in Southern XinJiang</article-title>. <source>Xinjiang Agric. Sci.</source> <volume>58</volume>, <fpage>1656</fpage>&#x2013;<lpage>1664</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.6048/j.issn.1001-4330.2021.09.011</pub-id>
</citation>
</ref>
<ref id="B59">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Zhao</surname> <given-names>J. L.</given-names>
</name>
<name>
<surname>Dong</surname> <given-names>Z. Y.</given-names>
</name>
<name>
<surname>Chang</surname> <given-names>Z. F.</given-names>
</name>
</person-group> (<year>2019</year>). <article-title>Ecological compensation of a desert water-lifting project based on opportunity cost of ecosystem service value: A case study on Jingtaichuan water-lifting irrigation project</article-title>. <source>Arid Zone Res.</source> <volume>36</volume>, <fpage>743</fpage>&#x2013;<lpage>751</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.13866/j.azr.2019.03.26</pub-id>
</citation>
</ref>
<ref id="B60">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Zhen</surname> <given-names>Z. X.</given-names>
</name>
<name>
<surname>Zhen</surname> <given-names>W. Y.</given-names>
</name>
</person-group> (<year>2006</year>). <article-title>Nitrogen metabolism in flag leaf and grain of wheat in response to irrigation regimes</article-title>. <source>J. Plant Nutr. Soil Sci.</source> <volume>169</volume>, <fpage>118</fpage>&#x2013;<lpage>126</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1002/jpln.200420418</pub-id>
</citation>
</ref>
<ref id="B61">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Zheng</surname> <given-names>J.</given-names>
</name>
<name>
<surname>Fan</surname> <given-names>J. L.</given-names>
</name>
<name>
<surname>Zhang</surname> <given-names>F. C.</given-names>
</name>
<name>
<surname>Guo</surname> <given-names>J. J.</given-names>
</name>
<name>
<surname>Yan</surname> <given-names>S. C.</given-names>
</name>
<name>
<surname>Zhuang</surname> <given-names>Q. L.</given-names>
</name>
<etal/>
</person-group>. (<year>2021</year>). <article-title>Interactive effects of mulching practice and nitrogen rate on grain yield, water productivity, fertilizer use efficiency and greenhouse gas emissions of rain fed summer maize in northwest China</article-title>. <source>Agr. Water Manage.</source> <volume>248</volume>, <elocation-id>106778</elocation-id>. doi:&#xa0;<pub-id pub-id-type="doi">10.1016/j.agwat.2021.106778</pub-id>
</citation>
</ref>
<ref id="B62">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Zhou</surname> <given-names>C. L.</given-names>
</name>
<name>
<surname>Zhang</surname> <given-names>H. J.</given-names>
</name>
<name>
<surname>Yu</surname> <given-names>S. C.</given-names>
</name>
<name>
<surname>Chen</surname> <given-names>X. T.</given-names>
</name>
<name>
<surname>Li</surname> <given-names>F. Q.</given-names>
</name>
<name>
<surname>Wang</surname> <given-names>Y.</given-names>
</name>
<etal/>
</person-group>. (<year>2023</year>). <article-title>Optimizing water and nitrogen management strategies to improve their use efficiency, eggplant yield and fruit quality</article-title>. <source>Front. Plant Sci.</source> <volume>14</volume>. doi:&#xa0;<pub-id pub-id-type="doi">10.3389/fpls.2023.1211122</pub-id>
</citation>
</ref>
</ref-list>
</back>
</article>