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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Plant Sci.</journal-id>
<journal-title>Frontiers in Plant Science</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Plant Sci.</abbrev-journal-title>
<issn pub-type="epub">1664-462X</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.3389/fpls.2025.1598110</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Plant Science</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Effects of subsurface drip irrigation and nitrogen fertilizer management on N<sub>2</sub>O emissions and forage yield in alfalfa production</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Ma</surname>
<given-names>Hongxiu</given-names>
</name>
<uri xlink:href="https://loop.frontiersin.org/people/2578731/overview"/>
<role content-type="https://credit.niso.org/contributor-roles/validation/"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-review-editing/"/>
<role content-type="https://credit.niso.org/contributor-roles/formal-analysis/"/>
<role content-type="https://credit.niso.org/contributor-roles/software/"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-original-draft/"/>
<role content-type="https://credit.niso.org/contributor-roles/conceptualization/"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Sun</surname>
<given-names>Quan</given-names>
</name>
<xref ref-type="author-notes" rid="fn001">
<sup>*</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2386670/overview"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-review-editing/"/>
<role content-type="https://credit.niso.org/contributor-roles/funding-acquisition/"/>
<role content-type="https://credit.niso.org/contributor-roles/conceptualization/"/>
<role content-type="https://credit.niso.org/contributor-roles/supervision/"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Zhang</surname>
<given-names>Xiaojuan</given-names>
</name>
<role content-type="https://credit.niso.org/contributor-roles/data-curation/"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-review-editing/"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Jiang</surname>
<given-names>Peng</given-names>
</name>
<role content-type="https://credit.niso.org/contributor-roles/data-curation/"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-review-editing/"/>
</contrib>
</contrib-group>
<aff id="aff1">
<institution>College of Forestry and Prataculture, Ningxia University</institution>, <addr-line>Yinchuan</addr-line>, <country>China</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>Edited by: Junying Chen, Northwest A &amp; F University, China</p>
</fn>
<fn fn-type="edited-by">
<p>Reviewed by: Kaihua Liu, Hohai University, China</p>
<p>Yunlong Zhai, Tarim University, China</p>
</fn>
<fn fn-type="corresp" id="fn001">
<p>*Correspondence: Quan Sun, <email xlink:href="mailto:sqnxu@sina.com">sqnxu@sina.com</email>
</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>03</day>
<month>06</month>
<year>2025</year>
</pub-date>
<pub-date pub-type="collection">
<year>2025</year>
</pub-date>
<volume>16</volume>
<elocation-id>1598110</elocation-id>
<history>
<date date-type="received">
<day>22</day>
<month>03</month>
<year>2025</year>
</date>
<date date-type="accepted">
<day>19</day>
<month>05</month>
<year>2025</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2025 Ma, Sun, Zhang and Jiang</copyright-statement>
<copyright-year>2025</copyright-year>
<copyright-holder>Ma, Sun, Zhang and Jiang</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>Reducing emissions of the greenhouse gas nitrous oxide (N<sub>2</sub>O) while improving forage yield and quality is essential for sustainable agriculture in the context of global warming. However, how to reduce N<sub>2</sub>O emissions through water and nitrogen management in alfalfa planting is still unclear. In this two-year field experiment, the effects of three irrigation rates (W1, 375 mm; W2, 525 mm; W3, 675 mm) and five nitrogen (N) fertilizer application rates (N0, 0 kg N ha<sup>&#x2212;1</sup>; N1, 75 kg N ha<sup>&#x2212;1</sup>; N2, 150 kg N ha<sup>&#x2212;1</sup>; N3, 225 kg N ha<sup>&#x2212;1</sup>; N4, 300 kg N ha<sup>&#x2212;1</sup>) on alfalfa yield, quality, resource use efficiency, and N<sub>2</sub>O emissions were explored. The results showed that irrigation combined with N application resulted in greater N<sub>2</sub>O emissions than irrigation alone. The cumulative N<sub>2</sub>O emissions increased with the increase of irrigation rate, and the average maximum cumulative N<sub>2</sub>O emissions of the W3 treatment (0.58 kg ha<sup>&#x2212;1</sup>) increased by 94.14% and 57.38% compared with that of the W2 and W1 treatment, respectively. The cumulative N<sub>2</sub>O emissions also increased with the increase of the N application rate, and the average cumulative N<sub>2</sub>O emissions of the N4 treatment (0.69 kg ha<sup>&#x2212;1</sup>) increased by 31.99%, 62.87%, 108%, and 173% compared with that of the N3, N2, N1, and N0 treatments, respectively. The variation of the average N<sub>2</sub>O emission coefficient was similar to that of the cumulative N<sub>2</sub>O emissions, and the W3 treatment (5.46) and N4 treatment (4.84) had the largest coefficients. Yield, crude protein, crop water productivity (WP<sub>c</sub>), and N<sub>2</sub>O emissions increased with the increase of N application rate, regardless of irrigation rate, with maxima occurring at N2 or N3 levels. These results suggest that the low NUE may be caused by the high cumulative N<sub>2</sub>O emissions. Besides, the combination of the irrigation rate 525 mm and the N application rate 150&#x2013;225 kg N ha<sup>-1</sup> could significantly increase alfalfa yield and crude protein content compared to other irrigation and nitrogen application treatments. However, further increasing irrigation and N rates failed to obtain further yield and crude protein increases, but led to N<sub>2</sub>O emission increase and WP<sub>c</sub> and NUE reductions. This may cause serious resource waste and environmental pollution.</p>
</abstract>
<kwd-group>
<kwd>nitrogen utilization</kwd>
<kwd>environmental pollution</kwd>
<kwd>resource utilization efficiency</kwd>
<kwd>crude protein</kwd>
<kwd>yield</kwd>
</kwd-group>
<counts>
<fig-count count="5"/>
<table-count count="4"/>
<equation-count count="13"/>
<ref-count count="75"/>
<page-count count="17"/>
<word-count count="9241"/>
</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>Nitrous oxide (N<sub>2</sub>O) is a potent greenhouse gas in the atmosphere that can retain up to 121 years (<xref ref-type="bibr" rid="B22">Jordan et&#xa0;al., 2020</xref>; <xref ref-type="bibr" rid="B61">Wang et&#xa0;al., 2024</xref>). It has a global warming potential 265&#x2013;298 times that of carbon dioxide (<xref ref-type="bibr" rid="B20">IPCC, 2014</xref>). In addition, N<sub>2</sub>O is a stratospheric ozone-depleting substance (<xref ref-type="bibr" rid="B44">Ravishankara et&#xa0;al., 2009</xref>). Nitrous oxide emissions from agricultural soils account for more than 60% of the global anthropogenic N<sub>2</sub>O emissions, and this proportion is as high as 70% in China (<xref ref-type="bibr" rid="B58">Tian et&#xa0;al., 2020</xref>). Nitrogen fertilizer is an important source of N<sub>2</sub>O emissions. Currently, China consumes about 30% of the world&#x2019;s N fertilizer, being the world&#x2019;s largest consumer, so N<sub>2</sub>O emissions from China&#x2019;s agricultural soils cannot be ignored (<xref ref-type="bibr" rid="B70">Yu et&#xa0;al., 2019</xref>). In recent years, N fertilizer topdressing by drip fertigation has been recommended in alfalfa (<italic>Medicago sativa</italic>) planting. The subsurface drip fertigation can accurately supply the water and nutrients to the root zone, increase the absorption and utilization efficiency of water and nitrogen by the roots, reducing nitrogen loss (<xref ref-type="bibr" rid="B74">Zheng et&#xa0;al., 2018</xref>; <xref ref-type="bibr" rid="B68">Yahaya et&#xa0;al., 2023</xref>). However, alfalfa has a low NUE due to the great N losses caused by N<sub>2</sub>O emissions, ammonia volatilization, and nitrate leaching (<xref ref-type="bibr" rid="B53">Sehy et&#xa0;al., 2003</xref>; <xref ref-type="bibr" rid="B41">Ni et&#xa0;al., 2020</xref>). The large amount of N<sub>2</sub>O emissions not only leads to a waste of resources, but also seriously threatens the environmental security. Recent study (<xref ref-type="bibr" rid="B59">Tian et&#xa0;al., 2019</xref>) has shown that from 1860 to 2016, the global annual N<sub>2</sub>O emissions from chemical N fertilizers increase from 0.3 Tg N<sub>2</sub>O-N to 3.3 Tg N<sub>2</sub>O-N. Therefore, it is necessary to optimize water and N fertilizer management to reduce N<sub>2</sub>O emissions in alfalfa planting (<xref ref-type="bibr" rid="B6">Benckiser et&#xa0;al., 2015</xref>; <xref ref-type="bibr" rid="B73">Zhao et&#xa0;al., 2021</xref>).</p>
<p>Alfalfa is a legume forage widely cultivated in the arid and semi-arid regions of northwest China. Although alfalfa has a strong drought adaptability, water deficit in these regions still greatly affects its growth, dry matter yield, and quality (<xref ref-type="bibr" rid="B28">Lamm et&#xa0;al., 2012</xref>; <xref ref-type="bibr" rid="B35">Liu et&#xa0;al., 2021</xref>). Local farmers always increase alfalfa yields through over irrigation by traditional irrigation ways such as flood irrigation, resulting in high water consumption and low WP<sub>c</sub> (<xref ref-type="bibr" rid="B35">Liu et&#xa0;al., 2021</xref>). This further exacerbates the water scarcity. Therefore, irrigation regime optimization is very necessary. Subsurface drip irrigation is a water-saving irrigation method. Under the premise of equal yield, subsurface drip irrigation saves 50%-60% and 20%-30% water compared with furrow irrigation and surface drip irrigation, respectively (<xref ref-type="bibr" rid="B18">Hassanli et&#xa0;al., 2008</xref>; <xref ref-type="bibr" rid="B62">Wang et&#xa0;al., 2020</xref>). This is due to that subsurface drip irrigation can directly deliver water and nutrients to plant roots and avoid surface water evaporation, thus improving the irrigation water productivity and avoiding waste of water resources (<xref ref-type="bibr" rid="B13">Dukes and Scholberg, 2005</xref>; <xref ref-type="bibr" rid="B12">Du et&#xa0;al., 2017</xref>). Exogenous N is a necessary for efficient and high-quality production of crops (<xref ref-type="bibr" rid="B16">Gao et&#xa0;al., 2020</xref>). In recent years, with the increase in forage demand for livestock production in China, over application of N has become a common practice for increasing alfalfa yield (<xref ref-type="bibr" rid="B19">Hou et&#xa0;al., 2021</xref>). However, over application of N reduces the positive effect, and causes greater nutrient growth than reproductive growth, thereby delaying plant maturation and reducing crop NUE and yields (<xref ref-type="bibr" rid="B27">Kunelius, 1974</xref>; <xref ref-type="bibr" rid="B56">Sun et&#xa0;al., 2023</xref>). This may further negatively impact the environment, ecosystem function, and biodiversity (<xref ref-type="bibr" rid="B47">Ren et&#xa0;al., 2019a</xref>; <xref ref-type="bibr" rid="B17">Gilles et&#xa0;al., 2021</xref>). Besides, soil anaerobic environment caused by over irrigation and over fertilization can accelerate the N loss by N<sub>2</sub>O emissions due to denitrification (<xref ref-type="bibr" rid="B55">Snyder et&#xa0;al., 2009</xref>; <xref ref-type="bibr" rid="B30">Li et&#xa0;al., 2020</xref>). Due to soil water greatly impacts crop NUE (<xref ref-type="bibr" rid="B48">Ren et&#xa0;al., 2019b</xref>), it is necessary to optimize the irrigation and N fertilization regimes to minimize the negative impacts of N loss on the environment while increasing WP<sub>c</sub>, NUE, and yields (<xref ref-type="bibr" rid="B23">Ju and Gu, 2014</xref>; <xref ref-type="bibr" rid="B29">Li et&#xa0;al., 2022</xref>).</p>
<p>Irrigation and N fertilization are vital for alfalfa production (<xref ref-type="bibr" rid="B33">Li et&#xa0;al., 2019</xref>). The anaerobic soil environment caused by over irrigation and the over application of N can accelerate N<sub>2</sub>O emissions, causing large N losses (<xref ref-type="bibr" rid="B55">Snyder et&#xa0;al., 2009</xref>; <xref ref-type="bibr" rid="B30">Li et&#xa0;al., 2020</xref>). How to optimize water and N supply to reduce N<sub>2</sub>O emissions while increasing alfalfa NUE, WP<sub>c</sub>, yield, and quality under subsurface drip irrigation remains unclear. This study hypothesized that reducing irrigation and N application rates may maximize alfalfa WP<sub>c</sub>, NUE, and yields while reducing the N<sub>2</sub>O emissions. To verify the hypothesis, this study investigated the effects of three irrigation rates and five N rates on alfalfa yield, quality, resource use efficiency, and N<sub>2</sub>O emissions from alfalfa fields (plants and soil) under subsurface drip irrigation. Besides, this study also clarified the optimal water and N fertilizer management in alfalfa planting. The aim was to achieve the coordination of alfalfa production and environmental protection in the arid regions of northwest China.</p>
</sec>
<sec id="s2" sec-type="materials|methods">
<label>2</label>
<title>Materials and methods</title>
<sec id="s2_1">
<label>2.1</label>
<title>Experimental site</title>
<p>Field experiments were conducted in 2022 and 2023 in Botanical Garden 2 Village, Liangtian Town, Yinchuan, Ningxia Hui Autonomous Region, China (106&#xb0;18&#x2019; E, 38&#xb0;40&#x2019; N, 1100 m a.s.l.). The experimental site has a temperate continental climate. According to the report of the Ningxia Meteorological Bureau (<ext-link ext-link-type="uri" xlink:href="http://nx.cma.gov.cn/index.html">http://nx.cma.gov.cn/index.html</ext-link>), the annual sunshine duration in the experimental site was about 3032 hours, the frost-free period was 185 days, the annual average temperature was 8.7&#xb0;C, the annual average precipitation was 200 mm, and the annual average evapotranspiration was 1694 mm. The physicochemical properties of surface soil (0&#x2013;30 cm) sampled before the field experiment in April 2022 were determined according to the methods of <xref ref-type="bibr" rid="B5">Bao (2000)</xref>: The soil type was aeolian sandy soil (91.76% sand, 7.04% silt, and 1.20% clay) according to the USDA soil classification. The soil pH was 8.62, the organic matter content was 4.67 g/kg, the available nitrogen content was 11.20 mg/kg, the available potassium content was 81.42 mg/kg, and the available phosphorus content was 2.44 mg/kg.</p>
<p>Air temperature and precipitation data during both crop growing seasons were obtained from the local meteorological station (<xref ref-type="fig" rid="f1">
<bold>Figure&#xa0;1</bold>
</xref>). The rainfall in the growing seasons in 2022 and 2023 were 54.5 and 56.0 mm, accounting for 82.7% and 88.9% of the annual rainfall, respectively. Besides, about 50% of the rainfalls was less than 5 mm and could not be used by crops. There was no significant difference in the monthly average temperature between the two alfalfa growing seasons, with the lowest average temperature in October and the highest in July.</p>
<fig id="f1" position="float">
<label>Figure&#xa0;1</label>
<caption>
<p>Precipitation, daily mean temperature, and reference evapotranspiration (ET<sub>r</sub>) during the growing seasons of alfalfa in 2022 and 2023 in the experimental site. ET<sub>r</sub> is calculated according to the methods of <xref ref-type="bibr" rid="B4">Allen et&#xa0;al. (1998)</xref> and <xref ref-type="bibr" rid="B69">Yan et&#xa0;al. (2021)</xref>.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fpls-16-1598110-g001.tif"/>
</fig>
</sec>
<sec id="s2_2">
<label>2.2</label>
<title>Experimental design</title>
<p>Alfalfa seeds (cultivar Magna Graze 401, Canada) were sown in spring in 2022, with a sowing rate of 15 kg ha<sup>-1</sup> and a row spacing of 20 cm. A split-plot design was adopted, with three irrigation levels as the main plots and five N application rates as the sub-plots. The irrigation rates included 375 (W1), 525 (W2), and 675 mm (W3), and the N application rates included 0 (N0), 75 (N1), 150 (N2), 225 (N3), and 300 (N4) kg ha<sup>-1</sup>. There were a total of fifteen treatments, and each treatment had three replicates. The area of each plot was 12.5 m<sup>2</sup> (2.5 m &#xd7; 5 m). The plots were separated by vertically embedded plastic films (0&#x2013;60 cm) to prevent mutual influence. The subsurface drip irrigation system used in this study was composed of a water pump, a filter, a fertilizer tank, and water pipes (inner diameter: 13 mm, wall thickness: 1.5 mm). The pipe spacing was 80 cm, the buried depth was 20 cm, the flow rate was 3.6&#x2013;6 L/(m&#xb7;h), and the pressure was 0.06 MPa (<xref ref-type="bibr" rid="B65">Xiang, 2015</xref>; <xref ref-type="bibr" rid="B75">Zhuge et&#xa0;al., 2003</xref>). Irrigation was conducted every 7 days (in case of rain or extreme heat, it was delayed or advanced by 1&#x2013;2 days). A water flow meter was used to control the amount of irrigation. Alfalfa stems and leaves were harvested two times in 2022. The irrigation amount from sowing to the first harvest accounted for 60% of the total irrigation amount, and that from the first harvest to the second accounted for 40%. In the second year, alfalfa stems and leaves were harvested four times, and 25% of the total irrigation amount was irrigated before each harvest (<xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary Table S1</bold>
</xref>). Urea (N: 46%) was applied through the subsurface drip irrigation system after dissolving in water. The timing of N fertilization was consistent with that in local fields. Seventy percent and thirty percent of urea were applied at 2 and 67 days after emergence (Days), respectively in 2022. In the 2023, 40%, 30%, and 30% of urea were applied at 2, 45, and 73 days after leaves turning green (days), respectively. The details for irrigation and N fertilization were shown in <xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary Table S2</bold>
</xref>. Other agricultural managements such as weeding were the same in all plots.</p>
</sec>
<sec id="s2_3">
<label>2.3</label>
<title>Sampling and measurements</title>
<p>At the beginning of flowering (about 10% of flowering), three sampling plots (1 m &#xd7; 1 m for each) were selected in the center of each plot to harvest alfalfa stems and leaves, with a stubble height of 5 cm. After that, the fresh weight was measured. The dry matter yield was measured after drying at 75&#xb0;C. Hay yield was calculated on a dry matter basis (<xref ref-type="bibr" rid="B14">Fan et&#xa0;al., 2016</xref>). The dried plant samples were crushed by a pulverizer, passed through a 0.25 mm sieve, and stored in a ziplock bag at room temperature for the determination of alfalfa quality. Alfalfa N content was determined using the Kjeldahl 8400 automatic analyzer (FOSS, Hilleroed, Denmark), and the contents of neutral detergent fiber (NDF, %) and acid detergent fiber (ADF, %) were determined by the method of <xref ref-type="bibr" rid="B43">Raffrenato et&#xa0;al. (2017)</xref>. Alfalfa crude protein content (CP, %) and relative feeding value (RFV) were calculated using <xref ref-type="disp-formula" rid="eq1">Equations 1</xref>, <xref ref-type="disp-formula" rid="eq2">2</xref> (<xref ref-type="bibr" rid="B15">Ferreira et&#xa0;al., 2015</xref>).</p>
<disp-formula id="eq1">
<label>(1)</label>
<mml:math display="block" id="M1">
<mml:mrow>
<mml:mtext>CP</mml:mtext>
<mml:mo>=</mml:mo>
<mml:mn>6.25</mml:mn>
<mml:mo>&#xd7;</mml:mo>
<mml:mtext>N</mml:mtext>
</mml:mrow>
</mml:math>
</disp-formula>
<disp-formula id="eq2">
<label>(2)</label>
<mml:math display="block" id="M2">
<mml:mrow>
<mml:mtext>RFV</mml:mtext>
<mml:mo>=</mml:mo>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mn>88.9</mml:mn>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>0.779</mml:mn>
<mml:mo>&#xd7;</mml:mo>
<mml:mtext>ADF</mml:mtext>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mo>&#xd7;</mml:mo>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mn>120</mml:mn>
<mml:mo stretchy="false">/</mml:mo>
<mml:mtext>NDF</mml:mtext>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mo stretchy="false">/</mml:mo>
<mml:mn>1.29</mml:mn>
</mml:mrow>
</mml:math>
</disp-formula>
<p>where N is the nitrogen content of alfalfa samples (%).</p>
</sec>
<sec id="s2_4">
<label>2.4</label>
<title>Crop water productivity and nitrogen use efficiency</title>
<p>The actual crop evapotranspiration (<italic>ET<sub>c</sub>
</italic>) during the growing seasons was calculated using the method of <xref ref-type="bibr" rid="B4">Allen et&#xa0;al. (1998)</xref>. Due to the arid climate, flat terrain, and deep groundwater table in the experimental site, groundwater recharge, surface runoff, and deep seepage were ignored. Then, <italic>ET</italic>
<sub>c</sub> was calculated using <xref ref-type="disp-formula" rid="eq3">Equation 3</xref>:</p>
<disp-formula id="eq3">
<label>(3)</label>
<mml:math display="block" id="M3">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mtext>ET</mml:mtext>
</mml:mrow>
<mml:mi>c</mml:mi>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mtext>P</mml:mtext>
<mml:mo>+</mml:mo>
<mml:mtext>I</mml:mtext>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>&#x394;</mml:mi>
<mml:mtext>WS</mml:mtext>
</mml:mrow>
</mml:math>
</disp-formula>
<p>Where <italic>P</italic> is the precipitation (mm) during the alfalfa growing season, <italic>I</italic> is the irrigation amount (mm) during the alfalfa growing season, <italic>&#x394;WS</italic> is the change of soil water content (soil water content at the beginning of the experiment minus that at the end of the experiment (mm)).</p>
<p>The WP<sub>C</sub> (kg m<sup>3</sup>) was calculated using <xref ref-type="disp-formula" rid="eq4">Equation 4</xref>:</p>
<disp-formula id="eq4">
<label>(4)</label>
<mml:math display="block" id="M4">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mtext>WP</mml:mtext>
</mml:mrow>
<mml:mi>C</mml:mi>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mtext>HY</mml:mtext>
<mml:mo stretchy="false">/</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mtext>ET</mml:mtext>
</mml:mrow>
<mml:mi>C</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</disp-formula>
<p>The irrigation water productivity (WP<sub>I</sub>, kg m<sup>3</sup>) was calculated using <xref ref-type="disp-formula" rid="eq5">Equation 5</xref>:</p>
<disp-formula id="eq5">
<label>(5)</label>
<mml:math display="block" id="M5">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mtext>WP</mml:mtext>
</mml:mrow>
<mml:mi>I</mml:mi>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mtext>HY</mml:mtext>
<mml:mo stretchy="false">/</mml:mo>
<mml:mtext>I</mml:mtext>
</mml:mrow>
</mml:math>
</disp-formula>
<p>Where <italic>HY</italic> is annual hay yield (kg ha<sup>-1</sup>), and <italic>I</italic> is the total irrigation amount (mm).</p>
<p>Kjeldahl method (<xref ref-type="bibr" rid="B24">Jung et&#xa0;al., 2003</xref>) was used to determine the N content in alfalfa root, stems, and leaves. Plant N accumulation was calculated as the sum of N content in each organ. The agronomic efficiency of N (AEN, kg kg<sup>-1</sup>), N use efficiency (NUE, %), physiological efficiency of N (PEN, kg kg<sup>-1</sup> N), and partial factor&#xa0;productivity of N (PFPN, kg kg<sup>-1</sup>) were calculated using <xref ref-type="disp-formula" rid="eq6">Equations 6</xref>&#x2013;<xref ref-type="disp-formula" rid="eq9">9</xref> (<xref ref-type="bibr" rid="B57">Tan et&#xa0;al., 2017</xref>):</p>
<disp-formula id="eq6">
<label>(6)</label>
<mml:math display="block" id="M6">
<mml:mrow>
<mml:mtext>AEN</mml:mtext>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mtext>Annual&#xa0;hay&#xa0;yield&#xa0;in&#xa0;N&#xa0;application&#xa0;plot</mml:mtext>
<mml:mo>&#x2212;</mml:mo>
<mml:mtext>Annual&#xa0;hay&#xa0;yield&#xa0;in&#xa0;zero&#xa0;N&#xa0;plot</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mtext>N&#xa0;rate</mml:mtext>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
</disp-formula>
<disp-formula id="eq7">
<label>(7)</label>
<mml:math display="block" id="M7">
<mml:mrow>
<mml:mtext>NUE</mml:mtext>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mtext>Annual&#xa0;hay&#xa0;yield</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mtext>N&#xa0;uptake</mml:mtext>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
</disp-formula>
<disp-formula id="eq8">
<label>(8)</label>
<mml:math display="block" id="M8">
<mml:mrow>
<mml:mtext>PEN</mml:mtext>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mtext>Annual&#xa0;hay&#xa0;yield&#xa0;in&#xa0;N&#xa0;application&#xa0;plot</mml:mtext>
<mml:mo>&#x2212;</mml:mo>
<mml:mtext>Annual&#xa0;hay&#xa0;yield&#xa0;in&#xa0;zero&#xa0;N&#xa0;plot</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mtext>N&#xa0;uptake&#xa0;in&#xa0;N&#xa0;application&#xa0;plot</mml:mtext>
<mml:mo>&#x2212;</mml:mo>
<mml:mtext>N&#xa0;uptake&#xa0;in&#xa0;zero&#xa0;N&#xa0;plot</mml:mtext>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
</disp-formula>
<disp-formula id="eq9">
<label>(9)</label>
<mml:math display="block" id="M9">
<mml:mrow>
<mml:mtext>PFPN</mml:mtext>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mtext>Annual&#xa0;hay&#xa0;yield</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mtext>N&#xa0;rate</mml:mtext>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
</disp-formula>
</sec>
<sec id="s2_5">
<label>2.5</label>
<title>N<sub>2</sub>O collection and determination</title>
<p>The N<sub>2</sub>O fluxes from plants and soil were measured by static chamber-gas chromatography (GC) (<xref ref-type="bibr" rid="B42">Ning et&#xa0;al., 2020</xref>). The static chamber consisted of a chamber (50 cm &#xd7; 50 cm &#xd7; 100 cm) and a stainless steel base. Sponge and aluminum foil layers were covered on the walls of the chamber to reduce internal air temperature variations during sampling. The top of the stainless steel base was provided with a groove (2 cm in width and 5 cm in depth), which was sealed with water during gas collection. Inside the chamber was a fan and an electronic thermometer to measure the temperature of the air inside. Under normal circumstances, the soil greenhouse gas flux was measured every 7&#x2013;10 days. If there was an abnormal temperature (extremely high temperature or extremely low temperature) during the alfalfa growing season, sampling frequency was increased. Besides, the timing of gas collection was postponed in case of heavy rainfall. The gas sampling was performed at 10: 00 - 14: 00 every day. Four gas samples were collected in 30 minutes (at 0, 10, 20, and 30 min) using a polypropylene syringe (50 mL) equipped with a nylon stopcock, and the samples were immediately transported to the laboratory for analysis using the Agilent gas chromatograph (7890A, USA). The N<sub>2</sub>O flux was calculated using <xref ref-type="disp-formula" rid="eq10">Equation 10</xref> (<xref ref-type="bibr" rid="B25">Kamran et&#xa0;al., 2022</xref>):</p>
<disp-formula id="eq10">
<label>(10)</label>
<mml:math display="block" id="M10">
<mml:mrow>
<mml:mtext>F</mml:mtext>
<mml:mo>=</mml:mo>
<mml:mo>&#xa0;</mml:mo>
<mml:mfrac>
<mml:mi>M</mml:mi>
<mml:mrow>
<mml:mi>V</mml:mi>
<mml:mn>0</mml:mn>
</mml:mrow>
</mml:mfrac>
<mml:mo>&#xb7;</mml:mo>
<mml:mi>H</mml:mi>
<mml:mo>&#xb7;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi>d</mml:mi>
<mml:mi>c</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>d</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:mfrac>
<mml:mo>&#xb7;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mn>273</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mn>273</mml:mn>
<mml:mo>+</mml:mo>
<mml:mi>T</mml:mi>
</mml:mrow>
</mml:mfrac>
<mml:mo>&#xb7;</mml:mo>
<mml:mfrac>
<mml:mi>P</mml:mi>
<mml:mrow>
<mml:mi>P</mml:mi>
<mml:mn>0</mml:mn>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
</disp-formula>
<p>where F is the N<sub>2</sub>O flux (&#x3bc;g N m<sup>&#x2212;2</sup> h<sup>&#x2212;1</sup>), <italic>M</italic> is the molar mass of the measured gas (g mol<sup>&#x2212;1</sup>), <italic>H</italic> is the height of the chamber (cm), <italic>dc/dt</italic> is the linear regression slope of gas concentration at the time approaching zero, <italic>T</italic> is the average temperature in the sampling chamber (&#xb0;C), <italic>P</italic> is the pressure in the sampling chamber (Pa), and <italic>V</italic>0 and <italic>P</italic>0 are the volume (mL) and pressure (Pa) at standard conditions.</p>
<p>The cumulative N<sub>2</sub>O emissions (kg ha<sup>&#x2212;1</sup>) was calculated using <xref ref-type="disp-formula" rid="eq11">Equation 11</xref> (<xref ref-type="bibr" rid="B2">Afreh et&#xa0;al., 2018</xref>):</p>
<disp-formula id="eq11">
<label>(11)</label>
<mml:math display="block" id="M11">
<mml:mrow>
<mml:msub>
<mml:mi>E</mml:mi>
<mml:mi>c</mml:mi>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:munderover>
<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>n</mml:mi>
</mml:munderover>
<mml:mfrac>
<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:mn>2</mml:mn>
</mml:mfrac>
<mml:mo>&#xd7;</mml:mo>
<mml:msub>
<mml:mi>t</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>+</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>t</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>&#xd7;</mml:mo>
<mml:mn>24</mml:mn>
</mml:mrow>
</mml:math>
</disp-formula>
<p>where <italic>E<sub>C</sub>
</italic> is the cumulative N<sub>2</sub>O emissions during each growing season, <italic>F</italic> is the daily N<sub>2</sub>O flux, <italic>i</italic> is the ith measurement, (<italic>t<sub>i+1</sub>-t<sub>i</sub>
</italic>) is the time interval between two adjacent samplings (days), and <italic>n</italic> is the number of observations during the growing season.</p>
<p>The N<sub>2</sub>O emission coefficient (EF, %) was calculated using <xref ref-type="disp-formula" rid="eq12">Equation 12</xref>:</p>
<disp-formula id="eq12">
<label>(12)</label>
<mml:math display="block" id="M12">
<mml:mrow>
<mml:mtext>EF</mml:mtext>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mtext>N</mml:mtext>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:mtext>O&#xa0;emissions&#xa0;in&#xa0;the&#xa0;N&#xa0;application&#xa0;plot</mml:mtext>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mtext>N</mml:mtext>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:mtext>O&#xa0;emissions&#xa0;in&#xa0;the&#xa0;zero&#xa0;N&#xa0;plot</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mtext>N&#xa0;rate</mml:mtext>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
</disp-formula>
</sec>
<sec id="s2_6">
<label>2.6</label>
<title>Soil moisture and inorganic nitrogen content</title>
<p>To determine soil moisture and inorganic N content, three soil samples (0&#x2013;20 cm) were taken with an auger near the static chamber for gas collection in each plot on the same day of gas sampling. The three soil samples were mixed and used as the sample of the plot (<xref ref-type="bibr" rid="B63">Wang et&#xa0;al., 2016</xref>). The soil moisture content was measured by weighing after drying the soil samples in an oven. The water-filled pore space (WFPS) was calculated using <xref ref-type="disp-formula" rid="eq13">Equation 13</xref> (<xref ref-type="bibr" rid="B72">Zhang et&#xa0;al., 2020</xref>):</p>
<disp-formula id="eq13">
<label>(13)</label>
<mml:math display="block" id="M13">
<mml:mrow>
<mml:mtext>&#xa0;WFPS</mml:mtext>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mo>%</mml:mo>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mtext>soil&#xa0;moisture&#xa0;content&#xa0;</mml:mtext>
<mml:mo>%</mml:mo>
<mml:mo>&#xa0;</mml:mo>
<mml:mo>&#xd7;</mml:mo>
<mml:mtext>soil&#xa0;bulk&#xa0;density</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mo>&#xa0;</mml:mo>
<mml:mo>&#x2212;</mml:mo>
<mml:mo>&#xa0;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mtext>Soil&#xa0;bulk&#xa0;density</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mn>2.65</mml:mn>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:mfrac>
<mml:mo>&#xd7;</mml:mo>
<mml:mn>100</mml:mn>
<mml:mo>&#xa0;</mml:mo>
</mml:mrow>
</mml:math>
</disp-formula>
<p>The NH<sub>4</sub>
<sup>+</sup>-N and NO<sub>3</sub>
<sup>&#x2013;</sup>N in the soil were extracted with 2 mol L<sup>&#x2212;1</sup> KCl (soil: KCl solution = 1: 5), and their contents were measured by colorimetry using a spectrophotometer (UV-2102 PCS, Shanghai Spectrometer Co., Ltd., Shanghai, China) (<xref ref-type="bibr" rid="B64">Wang et&#xa0;al., 2015</xref>).</p>
</sec>
<sec id="s2_7">
<label>2.7</label>
<title>Data analysis</title>
<p>SPSS 18.0 (IBM Corp, USA) was used for ANOVA. Tukey&#x2019;s test was used to test the significance of differences in the means between treatments at <italic>p</italic>&lt; 0.05 and <italic>p</italic>&lt; 0.01. The direct and indirect effects of N rates and irrigation rates on N<sub>2</sub>O emissions, alfalfa NUE, WP<sub>c</sub>, yield, and quality were evaluated using a structural equation model (SEM) using the &#x201c;lavaan&#x201d; package in R software version 4.0.0 (<xref ref-type="bibr" rid="B45">R Core Team, 2020</xref>; <xref ref-type="bibr" rid="B50">Rosseel, 2012</xref>). The SEM was constructed based on the following assumptions: (1) Increasing the N rate might increase the N<sub>2</sub>O emission coefficient and the N<sub>2</sub>O emissions, and reduce the NUE. (2) Optimal irrigation rate and N rate could significantly improve alfalfa WP<sub>C</sub>, yield, and quality. The relative chi-square (&#x3c7;2/df), comparative fit index (CFI), root mean square error of approximation (RMSEA), standardized root mean square residual (SRMR), Akaike information criterion (AIC), and Bayesian information criterion (BIC) were used to assess the degree of fit (<xref ref-type="bibr" rid="B26">Kline, 2005</xref>). Figures were drawn using Excel 2016 (Microsoft Corp, USA) and Origin 8.0 (Origin Lab Corp, USA).</p>
</sec>
</sec>
<sec id="s3" sec-type="results">
<label>3</label>
<title>Results</title>
<sec id="s3_1">
<label>3.1</label>
<title>Alfalfa yield and quality</title>
<p>Alfalfa yield increased with the increase of irrigation rate in the two years, but there was no significant difference between W2 and W3 levels. Increasing the N rate from 0 to 225 kg N ha<sup>-1</sup> resulted in a significant increase in alfalfa yield, but further increasing the N rate did not increase yield. The W2N2 treatment had the highest yield in 2022. In 2023, the W3N2 treatment had the highest yield, but there was no difference between W2N2, W2N3, W3N3, and W3N2 treatments (<xref ref-type="table" rid="T1">
<bold>Tables&#xa0;1</bold>
</xref>, <xref ref-type="table" rid="T2">
<bold>2</bold>
</xref>).</p>
<table-wrap id="T1" position="float">
<label>Table&#xa0;1</label>
<caption>
<p>Effects of irrigation (W) and nitrogen (N) interaction on yield, crude protein content (CP), relative feeding value (RFV), neutral detergent fiber (NDF) content, and acid detergent fiber (ADF) content of alfalfa in 2022 and 2023.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" align="left">Year</th>
<th valign="middle" colspan="2" align="left">Treatment</th>
<th valign="middle" align="left">Hay yield (t/ha)</th>
<th valign="middle" align="left">Crude protein (%)</th>
<th valign="middle" align="left">Relative feed value (%)</th>
<th valign="middle" align="left">Neutral detergent fiber (%)</th>
<th valign="middle" align="left">Acid detergent fiber (%)</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" rowspan="15" align="left">2022</td>
<td valign="middle" align="left">W1</td>
<td valign="middle" align="left">N0</td>
<td valign="middle" align="left">4.16 &#xb1; 0.11h</td>
<td valign="middle" align="left">17.28 &#xb1; 0.43e</td>
<td valign="middle" align="left">172.77 &#xb1; 8.64a</td>
<td valign="middle" align="left">37.61 &#xb1; 1.88g</td>
<td valign="middle" align="left">24.65 &#xb1; 1.23g</td>
</tr>
<tr>
<td valign="middle" align="left"/>
<td valign="middle" align="left">N1</td>
<td valign="middle" align="left">5.43 &#xb1; 0.27g</td>
<td valign="middle" align="left">19.39 &#xb1; 0.89cd</td>
<td valign="middle" align="left">160.67 &#xb1; 8.03b</td>
<td valign="middle" align="left">38.68 &#xb1; 1.93fg</td>
<td valign="middle" align="left">28.54 &#xb1; 1.43ef</td>
</tr>
<tr>
<td valign="middle" align="left"/>
<td valign="middle" align="left">N2</td>
<td valign="middle" align="left">6.22 &#xb1; 0.31ef</td>
<td valign="middle" align="left">21.60 &#xb1; 1.15ab</td>
<td valign="middle" align="left">148.98 &#xb1; 7.45bcde</td>
<td valign="middle" align="left">40.83 &#xb1; 2.04defg</td>
<td valign="middle" align="left">30.41 &#xb1; 1.52cde</td>
</tr>
<tr>
<td valign="middle" align="left"/>
<td valign="middle" align="left">N3</td>
<td valign="middle" align="left">6.66 &#xb1; 0.05de</td>
<td valign="middle" align="left">21.15 &#xb1; 0.95ab</td>
<td valign="middle" align="left">143.71 &#xb1; 7.19cdef</td>
<td valign="middle" align="left">42.23 &#xb1; 2.11def</td>
<td valign="middle" align="left">30.71 &#xb1; 1.54cde</td>
</tr>
<tr>
<td valign="middle" align="left"/>
<td valign="middle" align="left">N4</td>
<td valign="middle" align="left">5.23 &#xb1; 0.26g</td>
<td valign="middle" align="left">21.68 &#xb1; 1.05ab</td>
<td valign="middle" align="left">136.95 &#xb1; 6.85efgh</td>
<td valign="middle" align="left">43.66 &#xb1; 2.18bcd</td>
<td valign="middle" align="left">31.77 &#xb1; 1.59bcd</td>
</tr>
<tr>
<td valign="middle" align="left">W2</td>
<td valign="middle" align="left">N0</td>
<td valign="middle" align="left">5.72 &#xb1; 0.28fg</td>
<td valign="middle" align="left">17.89 &#xb1; 0.24de</td>
<td valign="middle" align="left">160.10 &#xb1; 8.00b</td>
<td valign="middle" align="left">39.39 &#xb1; 1.97efg</td>
<td valign="middle" align="left">27.17 &#xb1; 1.36fg</td>
</tr>
<tr>
<td valign="middle" align="left"/>
<td valign="middle" align="left">N1</td>
<td valign="middle" align="left">7.70 &#xb1; 0.27bc</td>
<td valign="middle" align="left">21.36 &#xb1; 0.96ab</td>
<td valign="middle" align="left">155.21 &#xb1; 7.76bc</td>
<td valign="middle" align="left">40.15 &#xb1; 2.01defg</td>
<td valign="middle" align="left">28.42 &#xb1; 1.42ef</td>
</tr>
<tr>
<td valign="middle" align="left"/>
<td valign="middle" align="left">N2</td>
<td valign="middle" align="left">8.79 &#xb1; 0.44a</td>
<td valign="middle" align="left">22.45 &#xb1; 1.01a</td>
<td valign="middle" align="left">145.57 &#xb1; 7.28cde</td>
<td valign="middle" align="left">41.14 &#xb1; 2.06defg</td>
<td valign="middle" align="left">31.59 &#xb1; 1.58bcd</td>
</tr>
<tr>
<td valign="middle" align="left"/>
<td valign="middle" align="left">N3</td>
<td valign="middle" align="left">7.63 &#xb1; 0.38bc</td>
<td valign="middle" align="left">21.58 &#xb1; 0.99ab</td>
<td valign="middle" align="left">137.37 &#xb1; 6.87efgh</td>
<td valign="middle" align="left">42.84 &#xb1; 2.14cde</td>
<td valign="middle" align="left">33.26 &#xb1; 1.66abc</td>
</tr>
<tr>
<td valign="middle" align="left"/>
<td valign="middle" align="left">N4</td>
<td valign="middle" align="left">6.95 &#xb1; 0.35d</td>
<td valign="middle" align="left">20.60 &#xb1; 0.99bc</td>
<td valign="middle" align="left">131.19 &#xb1; 6.56fghi</td>
<td valign="middle" align="left">44.00 &#xb1; 2.20bcd</td>
<td valign="middle" align="left">34.67 &#xb1; 1.73a</td>
</tr>
<tr>
<td valign="middle" align="left">W3</td>
<td valign="middle" align="left">N0</td>
<td valign="middle" align="left">7.02 &#xb1; 0.35d</td>
<td valign="middle" align="left">17.81 &#xb1; 0.76de</td>
<td valign="middle" align="left">152.25 &#xb1; 7.61bcd</td>
<td valign="middle" align="left">41.11 &#xb1; 2.06defg</td>
<td valign="middle" align="left">27.83 &#xb1; 1.39ef</td>
</tr>
<tr>
<td valign="middle" align="left"/>
<td valign="middle" align="left">N1</td>
<td valign="middle" align="left">7.77 &#xb1; 0.39b</td>
<td valign="middle" align="left">20.81 &#xb1; 0.94abc</td>
<td valign="middle" align="left">140.03 &#xb1; 7.00defg</td>
<td valign="middle" align="left">43.89 &#xb1; 2.19bcd</td>
<td valign="middle" align="left">29.42 &#xb1; 1.47def</td>
</tr>
<tr>
<td valign="middle" align="left"/>
<td valign="middle" align="left">N2</td>
<td valign="middle" align="left">8.08 &#xb1; 0.40b</td>
<td valign="middle" align="left">21.47 &#xb1; 1.33ab</td>
<td valign="middle" align="left">128.46 &#xb1; 6.42ghi</td>
<td valign="middle" align="left">46.26 &#xb1; 2.31abc</td>
<td valign="middle" align="left">32.40 &#xb1; 1.62abc</td>
</tr>
<tr>
<td valign="middle" align="left"/>
<td valign="middle" align="left">N3</td>
<td valign="middle" align="left">8.18 &#xb1; 0.42b</td>
<td valign="middle" align="left">21.24 &#xb1; 0.63ab</td>
<td valign="middle" align="left">124.21 &#xb1; 6.21hi</td>
<td valign="middle" align="left">46.91 &#xb1; 2.35ab</td>
<td valign="middle" align="left">33.83 &#xb1; 1.69ab</td>
</tr>
<tr>
<td valign="middle" align="left"/>
<td valign="middle" align="left">N4</td>
<td valign="middle" align="left">7.14 &#xb1; 0.27cd</td>
<td valign="middle" align="left">17.03 &#xb1; 1.05e</td>
<td valign="middle" align="left">119.05 &#xb1; 5.95i</td>
<td valign="middle" align="left">48.42 &#xb1; 2.42a</td>
<td valign="middle" align="left">34.64 &#xb1; 1.73a</td>
</tr>
<tr>
<th valign="middle" colspan="8" align="left">Variation source</th>
</tr>
<tr>
<td valign="middle" rowspan="3" align="center"/>
<td valign="middle" colspan="2" align="left">W</td>
<td valign="middle" align="left">**</td>
<td valign="middle" align="left">**</td>
<td valign="middle" align="left">**</td>
<td valign="middle" align="left">**</td>
<td valign="middle" align="left">**</td>
</tr>
<tr>
<td valign="middle" colspan="2" align="left">N</td>
<td valign="middle" align="left">**</td>
<td valign="middle" align="left">**</td>
<td valign="middle" align="left">**</td>
<td valign="middle" align="left">**</td>
<td valign="middle" align="left">**</td>
</tr>
<tr>
<td valign="middle" colspan="2" align="left">W&#xd7;N</td>
<td valign="middle" align="left">**</td>
<td valign="middle" align="left">**</td>
<td valign="middle" align="left">ns</td>
<td valign="middle" align="left">ns</td>
<td valign="middle" align="left">ns</td>
</tr>
<tr>
<td valign="top" rowspan="15" align="left">2023</td>
<td valign="middle" align="left">W1</td>
<td valign="middle" align="left">N0</td>
<td valign="middle" align="left">8.71 &#xb1; 0.62f</td>
<td valign="middle" align="left">17.16 &#xb1; 0.53e</td>
<td valign="middle" align="left">174.17 &#xb1; 8.71a</td>
<td valign="middle" align="left">36.39 &#xb1; 1.82f</td>
<td valign="middle" align="left">26.88 &#xb1; 1.34g</td>
</tr>
<tr>
<td valign="middle" align="left"/>
<td valign="middle" align="left">N1</td>
<td valign="middle" align="left">9.18 &#xb1; 0.55ef</td>
<td valign="middle" align="left">18.95 &#xb1; 0.95d</td>
<td valign="middle" align="left">164.98 &#xb1; 8.25a</td>
<td valign="middle" align="left">37.77 &#xb1; 1.89ef</td>
<td valign="middle" align="left">28.39 &#xb1; 1.42fg</td>
</tr>
<tr>
<td valign="middle" align="left"/>
<td valign="middle" align="left">N2</td>
<td valign="middle" align="left">9.80 &#xb1; 0.29bcd</td>
<td valign="middle" align="left">20.21 &#xb1; 0.52bc</td>
<td valign="middle" align="left">151.90 &#xb1; 7.60bc</td>
<td valign="middle" align="left">40.03 &#xb1; 2.00cdef</td>
<td valign="middle" align="left">30.63 &#xb1; 1.53def</td>
</tr>
<tr>
<td valign="middle" align="left"/>
<td valign="middle" align="left">N3</td>
<td valign="middle" align="left">9.65 &#xb1; 0.33bcde</td>
<td valign="middle" align="left">19.68 &#xb1; 0.63bcd</td>
<td valign="middle" align="left">146.30 &#xb1; 7.31cde</td>
<td valign="middle" align="left">41.13 &#xb1; 2.06bcde</td>
<td valign="middle" align="left">31.51 &#xb1; 1.58de</td>
</tr>
<tr>
<td valign="middle" align="left"/>
<td valign="middle" align="left">N4</td>
<td valign="middle" align="left">9.17 &#xb1; 0.21ef</td>
<td valign="middle" align="left">19.43 &#xb1; 0.54cd</td>
<td valign="middle" align="left">133.95 &#xb1; 6.70efg</td>
<td valign="middle" align="left">43.75 &#xb1; 2.19abc</td>
<td valign="middle" align="left">33.47 &#xb1; 1.67bcd</td>
</tr>
<tr>
<td valign="middle" align="left">W2</td>
<td valign="middle" align="left">N0</td>
<td valign="middle" align="left">9.17 &#xb1; 0.16ef</td>
<td valign="middle" align="left">19.53 &#xb1; 0.44bcd</td>
<td valign="middle" align="left">161.88 &#xb1; 8.09ab</td>
<td valign="middle" align="left">38.54 &#xb1; 1.93def</td>
<td valign="middle" align="left">28.29 &#xb1; 1.41fg</td>
</tr>
<tr>
<td valign="middle" align="left"/>
<td valign="middle" align="left">N1</td>
<td valign="middle" align="left">9.95 &#xb1; 0.15bc</td>
<td valign="middle" align="left">20.62 &#xb1; 0.13bc</td>
<td valign="middle" align="left">151.89 &#xb1; 7.59bc</td>
<td valign="middle" align="left">40.30 &#xb1; 2.01cde</td>
<td valign="middle" align="left">29.87 &#xb1; 1.49ef</td>
</tr>
<tr>
<td valign="middle" align="left"/>
<td valign="middle" align="left">N2</td>
<td valign="middle" align="left">10.87 &#xb1; 0.41a</td>
<td valign="middle" align="left">23.30 &#xb1; 0.45a</td>
<td valign="middle" align="left">140.95 &#xb1; 7.05cdef</td>
<td valign="middle" align="left">42.59 &#xb1; 2.13bc</td>
<td valign="middle" align="left">31.86 &#xb1; 1.59de</td>
</tr>
<tr>
<td valign="middle" align="left"/>
<td valign="middle" align="left">N3</td>
<td valign="middle" align="left">10.96 &#xb1; 0.06a</td>
<td valign="middle" align="left">22.46 &#xb1; 0.67a</td>
<td valign="middle" align="left">139.36 &#xb1; 6.97cdefg</td>
<td valign="middle" align="left">42.37 &#xb1; 2.12bcd</td>
<td valign="middle" align="left">33.01 &#xb1; 1.65cd</td>
</tr>
<tr>
<td valign="middle" align="left"/>
<td valign="middle" align="left">N4</td>
<td valign="middle" align="left">9.39 &#xb1; 0.32cde</td>
<td valign="middle" align="left">20.20 &#xb1; 0.83b</td>
<td valign="middle" align="left">129.08 &#xb1; 6.45fgh</td>
<td valign="middle" align="left">44.67 &#xb1; 2.23ab</td>
<td valign="middle" align="left">35.18 &#xb1; 1.76abc</td>
</tr>
<tr>
<td valign="middle" align="left">W3</td>
<td valign="middle" align="left">N0</td>
<td valign="middle" align="left">9.25 &#xb1; 0.19def</td>
<td valign="middle" align="left">19.51 &#xb1; 0.32cd</td>
<td valign="middle" align="left">147.78 &#xb1; 7.39cd</td>
<td valign="middle" align="left">41.20 &#xb1; 2.06bcde</td>
<td valign="middle" align="left">30.49 &#xb1; 1.52def</td>
</tr>
<tr>
<td valign="middle" align="left"/>
<td valign="middle" align="left">N1</td>
<td valign="middle" align="left">10.15 &#xb1; 0.32b</td>
<td valign="middle" align="left">20.72 &#xb1; 0.83b</td>
<td valign="middle" align="left">137.51 &#xb1; 6.88defg</td>
<td valign="middle" align="left">43.29 &#xb1; 2.16bc</td>
<td valign="middle" align="left">32.49 &#xb1; 1.62cde</td>
</tr>
<tr>
<td valign="middle" align="left"/>
<td valign="middle" align="left">N2</td>
<td valign="middle" align="left">11.00 &#xb1; 0.24a</td>
<td valign="middle" align="left">22.76 &#xb1; 0.03a</td>
<td valign="middle" align="left">127.89 &#xb1; 6.39fgh</td>
<td valign="middle" align="left">45.11 &#xb1; 2.26ab</td>
<td valign="middle" align="left">35.13 &#xb1; 1.76abc</td>
</tr>
<tr>
<td valign="middle" align="left"/>
<td valign="middle" align="left">N3</td>
<td valign="middle" align="left">10.88 &#xb1; 0.34a</td>
<td valign="middle" align="left">22.66 &#xb1; 1.11a</td>
<td valign="middle" align="left">126.21 &#xb1; 6.31gh</td>
<td valign="middle" align="left">44.91 &#xb1; 2.25ab</td>
<td valign="middle" align="left">36.34 &#xb1; 1.82ab</td>
</tr>
<tr>
<td valign="middle" align="left"/>
<td valign="middle" align="left">N4</td>
<td valign="middle" align="left">9.91 &#xb1; 0.21bc</td>
<td valign="middle" align="left">18.52 &#xb1; 0.55d</td>
<td valign="middle" align="left">117.73 &#xb1; 5.89h</td>
<td valign="middle" align="left">47.57 &#xb1; 2.38a</td>
<td valign="middle" align="left">37.27 &#xb1; 1.86a</td>
</tr>
<tr>
<th valign="middle" colspan="8" align="left">Variation source</th>
</tr>
<tr>
<td valign="middle" rowspan="3" align="center"/>
<td valign="middle" colspan="2" align="left">W</td>
<td valign="middle" align="left">**</td>
<td valign="middle" align="left">**</td>
<td valign="middle" align="left">**</td>
<td valign="middle" align="left">**</td>
<td valign="middle" align="left">**</td>
</tr>
<tr>
<td valign="middle" colspan="2" align="left">N</td>
<td valign="middle" align="left">**</td>
<td valign="middle" align="left">**</td>
<td valign="middle" align="left">**</td>
<td valign="middle" align="left">**</td>
<td valign="middle" align="left">**</td>
</tr>
<tr>
<td valign="middle" colspan="2" align="left">W&#xd7;N</td>
<td valign="middle" align="left">ns</td>
<td valign="middle" align="left">**</td>
<td valign="middle" align="left">ns</td>
<td valign="middle" align="left">ns</td>
<td valign="middle" align="left">ns</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>W1, W2, and W3 represent irrigation rates of 375, 525, and 675 mm, respectively, while N0, N1, N2, N3, and N4 represent nitrogen application rates of 0, 75, 150, 225, and 300 kg ha<sup>-1</sup>, respectively. Data are presented as mean &#xb1; SD (n = 3). Based on Tukey&#x2019;s test, different lowercase letters in each column represent significant differences in means between treatments (<italic>p</italic>&lt; 0.05).</p>
</fn>
</table-wrap-foot>
</table-wrap>
<table-wrap id="T2" position="float">
<label>Table&#xa0;2</label>
<caption>
<p>Effects of irrigation (W) and nitrogen (N) treatments on yield, crude protein content (CP), relative feeding value (RFV), neutral detergent fiber (NDF) content, and acid detergent fiber (ADF) content of alfalfa in 2022 and 2023.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" align="left">Year</th>
<th valign="middle" align="left">Treatment</th>
<th valign="middle" align="left">Hay yield (t/ha)</th>
<th valign="middle" align="left">Crude protein (%)</th>
<th valign="middle" align="left">Relative feed value (%)</th>
<th valign="middle" align="left">Neutral detergent fiber (%)</th>
<th valign="middle" align="left">Acid detergent fiber (%)</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" rowspan="8" align="left">2022</td>
<td valign="middle" align="left">W1</td>
<td valign="middle" align="left">5.52 &#xb1; 0.41b</td>
<td valign="middle" align="left">20.22 &#xb1; 0.71a</td>
<td valign="middle" align="left">152.62 &#xb1; 5.20a</td>
<td valign="middle" align="left">40.60 &#xb1; 1.45b</td>
<td valign="middle" align="left">29.22 &#xb1; 1.05b</td>
</tr>
<tr>
<td valign="middle" align="left">W2</td>
<td valign="middle" align="left">7.47 &#xb1; 0.11a</td>
<td valign="middle" align="left">20.77 &#xb1; 0.42a</td>
<td valign="middle" align="left">145.89 &#xb1; 2.92a</td>
<td valign="middle" align="left">41.50 &#xb1; 0.83b</td>
<td valign="middle" align="left">31.02 &#xb1; 0.62ab</td>
</tr>
<tr>
<td valign="middle" align="left">W3</td>
<td valign="middle" align="left">7.41 &#xb1; 0.34a</td>
<td valign="middle" align="left">19.67 &#xb1; 0.68a</td>
<td valign="middle" align="left">132.80 &#xb1; 4.74b</td>
<td valign="middle" align="left">45.32 &#xb1; 1.57a</td>
<td valign="middle" align="left">31.62 &#xb1; 1.09a</td>
</tr>
<tr>
<td valign="middle" align="left">N0</td>
<td valign="middle" align="left">5.70 &#xb1; 0.24b</td>
<td valign="middle" align="left">17.66 &#xb1; 0.35d</td>
<td valign="middle" align="left">161.71 &#xb1; 3.23a</td>
<td valign="middle" align="left">39.37 &#xb1; 0.79d</td>
<td valign="middle" align="left">26.55 &#xb1; 0.53d</td>
</tr>
<tr>
<td valign="middle" align="left">N1</td>
<td valign="middle" align="left">7.06 &#xb1; 0.13a</td>
<td valign="middle" align="left">20.52 &#xb1; 0.41bc</td>
<td valign="middle" align="left">151.97 &#xb1; 3.04b</td>
<td valign="middle" align="left">40.91 &#xb1; 0.82cd</td>
<td valign="middle" align="left">28.80 &#xb1; 0.58c</td>
</tr>
<tr>
<td valign="middle" align="left">N2</td>
<td valign="middle" align="left">7.65 &#xb1; 0.18a</td>
<td valign="middle" align="left">21.84 &#xb1; 0.44a</td>
<td valign="middle" align="left">141.00 &#xb1; 2.82c</td>
<td valign="middle" align="left">42.74 &#xb1; 0.85bc</td>
<td valign="middle" align="left">31.46 &#xb1; 0.63b</td>
</tr>
<tr>
<td valign="middle" align="left">N3</td>
<td valign="middle" align="left">7.50 &#xb1; 0.07a</td>
<td valign="middle" align="left">21.32 &#xb1; 0.43ab</td>
<td valign="middle" align="left">135.10 &#xb1; 2.70cd</td>
<td valign="middle" align="left">43.99 &#xb1; 0.88ab</td>
<td valign="middle" align="left">32.60 &#xb1; 0.65ab</td>
</tr>
<tr>
<td valign="middle" align="left">N4</td>
<td valign="middle" align="left">6.03 &#xb1; 0.63b</td>
<td valign="middle" align="left">19.77 &#xb1; 0.69c</td>
<td valign="middle" align="left">129.06 &#xb1; 4.62d</td>
<td valign="middle" align="left">45.36 &#xb1; 1.57a</td>
<td valign="middle" align="left">33.69 &#xb1; 1.15a</td>
</tr>
<tr>
<td valign="top" rowspan="8" align="left">2023</td>
<td valign="middle" align="left">W1</td>
<td valign="middle" align="left">9.39 &#xb1; 0.33b</td>
<td valign="middle" align="left">19.14 &#xb1; 0.71b</td>
<td valign="middle" align="left">154.69 &#xb1; 5.70a</td>
<td valign="middle" align="left">39.90 &#xb1; 1.43b</td>
<td valign="middle" align="left">30.24 &#xb1; 1.08b</td>
</tr>
<tr>
<td valign="middle" align="left">W2</td>
<td valign="middle" align="left">10.08 &#xb1; 0.29a</td>
<td valign="middle" align="left">21.28 &#xb1; 0.69a</td>
<td valign="middle" align="left">145.07 &#xb1; 4.76b</td>
<td valign="middle" align="left">41.84 &#xb1; 1.35b</td>
<td valign="middle" align="left">31.76 &#xb1; 1.03b</td>
</tr>
<tr>
<td valign="middle" align="left">W3</td>
<td valign="middle" align="left">10.26 &#xb1; 0.23a</td>
<td valign="middle" align="left">20.91 &#xb1; 0.54a</td>
<td valign="middle" align="left">131.93 &#xb1; 3.41c</td>
<td valign="middle" align="left">44.55 &#xb1; 1.09a</td>
<td valign="middle" align="left">34.45 &#xb1; 0.85a</td>
</tr>
<tr>
<td valign="middle" align="left">N0</td>
<td valign="middle" align="left">9.09 &#xb1; 0.31c</td>
<td valign="middle" align="left">18.73 &#xb1; 0.65c</td>
<td valign="middle" align="left">161.27 &#xb1; 5.59a</td>
<td valign="middle" align="left">38.71 &#xb1; 1.36c</td>
<td valign="middle" align="left">28.56 &#xb1; 1.01c</td>
</tr>
<tr>
<td valign="middle" align="left">N1</td>
<td valign="middle" align="left">9.84 &#xb1; 0.37b</td>
<td valign="middle" align="left">20.18 &#xb1; 0.75b</td>
<td valign="middle" align="left">152.16 &#xb1; 5.68b</td>
<td valign="middle" align="left">40.64 &#xb1; 1.49bc</td>
<td valign="middle" align="left">30.39 &#xb1; 1.11c</td>
</tr>
<tr>
<td valign="middle" align="left">N2</td>
<td valign="middle" align="left">10.55 &#xb1; 0.21a</td>
<td valign="middle" align="left">22.05 &#xb1; 0.57a</td>
<td valign="middle" align="left">139.99 &#xb1; 3.66c</td>
<td valign="middle" align="left">42.48 &#xb1; 1.17b</td>
<td valign="middle" align="left">32.46 &#xb1; 0.90b</td>
</tr>
<tr>
<td valign="middle" align="left">N3</td>
<td valign="middle" align="left">10.53 &#xb1; 0.27a</td>
<td valign="middle" align="left">21.76 &#xb1; 0.82a</td>
<td valign="middle" align="left">138.27 &#xb1; 5.21c</td>
<td valign="middle" align="left">43.07 &#xb1; 1.62ab</td>
<td valign="middle" align="left">33.83 &#xb1; 1.28ab</td>
</tr>
<tr>
<td valign="middle" align="left">N4</td>
<td valign="middle" align="left">9.59 &#xb1; 0.35bc</td>
<td valign="middle" align="left">19.45 &#xb1; 0.62bc</td>
<td valign="middle" align="left">127.36 &#xb1; 4.06d</td>
<td valign="middle" align="left">45.48 &#xb1; 1.50a</td>
<td valign="middle" align="left">35.42 &#xb1; 1.16a</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>Data are presented as mean &#xb1; SD (n = 3). Based on Tukey&#x2019;s test (<italic>p</italic>&lt; 0.05), different lowercase letters indicate significant differences in the means between treatments. The treatment abbreviations are the same as those in <xref ref-type="table" rid="T1">
<bold>Table&#xa0;1</bold>
</xref>.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>The CP content increased with the increase of irrigation rate in the two years, but there was no significant difference between W2 and W3 levels. The CP content of alfalfa increased significantly from N0 to N3, but decreased significantly from N3 to N4. The average CP content of the N2 treatment was the highest, which was 24% and 18% higher than that of N0 treatment in 2022 and 2023, respectively. The W2N2 treatment had the highest CP content in 2022. In 2023, the W2N3 and W3N2 treatment had the highest CP content. The W1N0 and W3N4 treatment had the lowest CP content in both years (<xref ref-type="table" rid="T1">
<bold>Tables&#xa0;1</bold>
</xref>, <xref ref-type="table" rid="T2">
<bold>2</bold>
</xref>).</p>
<p>The RFV value gradually decreased with the increase of irrigation rate in the two years, and the average annual RFV value was the highest at W1 level, which was 15%-17% higher than the lowest value at W3 level. The RFV value decreased with the increase of N rate. The N0 treatment had the highest RFV value, which was 25%-27% higher than the lowest value of the N4 treatment. The W1N0 treatment had the highest RFV value, and the W3N4 treatment had the lowest RFV value (<xref ref-type="table" rid="T1">
<bold>Tables&#xa0;1</bold>
</xref>, <xref ref-type="table" rid="T2">
<bold>2</bold>
</xref>).</p>
<p>The average NDF and ADF contents were the highest at W3 level in the two years, which increased by 12% and 8%-14%, respectively compared with those at W1 treatment. With the increase of N rate, the NDF and ADF increased linearly, and the NDF and ADF contents of the N4 treatment increased by 15% - 17% and 24% - 27%, respectively compared with those of the N0 treatment in the two years. The W3N4 treatment had the highest NDF and ADF contents, and the W1N0 treatment had the lowest NDF and ADF contents (<xref ref-type="table" rid="T1">
<bold>Tables&#xa0;1</bold>
</xref>, <xref ref-type="table" rid="T2">
<bold>2</bold>
</xref>).</p>
</sec>
<sec id="s3_2">
<label>3.2</label>
<title>Crop water productivity and nitrogen use efficiency</title>
<p>The <italic>ET<sub>C</sub>
</italic> increased with the increase of irrigation rate in the two years, and the <italic>ET<sub>C</sub>
</italic> at W3 level significantly increased by 73% and 84% in 2022 and 2023, respectively compared with that at W1 level. The WP<sub>C</sub> and WP<sub>I</sub> at W1 and W2 level significantly increased compared with those at W3 level. The WP<sub>I</sub> and WP<sub>C</sub> of the N2 and N3 treatments were the highest, and there was no difference between N2 and N3 treatments. Besides, the WP<sub>C</sub> and WP<sub>I</sub> of the N2 treatment increased by 13% &#x2013; 33% and 15% &#x2013; 38%, respectively compared with those of the N0 treatment. The W1N3 treatment had the highest WP<sub>C</sub> and WP<sub>I</sub> (<xref ref-type="table" rid="T3">
<bold>Tables&#xa0;3</bold>
</xref>, <xref ref-type="table" rid="T4">
<bold>4</bold>
</xref>).</p>
<table-wrap id="T3" position="float">
<label>Table&#xa0;3</label>
<caption>
<p>Effects of irrigation (W) and nitrogen (N) interaction on evapotranspiration (<italic>ET<sub>C</sub>
</italic>), crop water productivity (WP<sub>C</sub>), irrigation water productivity (WP<sub>I</sub>), nitrogen agronomic efficiency (AEN), nitrogen use efficiency (NUE), nitrogen physiological efficiency (PEN) and partial factor productivity of nitrogen (PFPN) of alfalfa in 2022 and 2023.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" align="left">Year</th>
<th valign="middle" colspan="2" align="left">Treatments</th>
<th valign="middle" align="left">ET<italic>
<sub>C</sub>
</italic> (mm)</th>
<th valign="middle" align="left">Crop Water Productivity (kg m<sup>3</sup>)</th>
<th valign="middle" align="left">Irrigation water productivity (kg m<sup>3</sup>)</th>
<th valign="middle" align="left">Agronomic efficiency of N (kg kg<sup>-1</sup>)</th>
<th valign="middle" align="left">N use efficiency (%)</th>
<th valign="middle" align="left">Physiological efficiency of N (kg kg<sup>-1</sup>)</th>
<th valign="middle" align="left">Partial factor productivity of N (kg kg<sup>-1</sup>)</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="middle" rowspan="15" align="left">2022</td>
<td valign="middle" align="left">W1</td>
<td valign="middle" align="left">N0</td>
<td valign="middle" align="left">201.34 &#xb1; 7.76d</td>
<td valign="middle" align="left">20.69 &#xb1; 1.28ef</td>
<td valign="middle" align="left">22.19 &#xb1; 0.58efg</td>
<td valign="middle" align="left">NA</td>
<td valign="middle" align="left">NA</td>
<td valign="middle" align="left">NA</td>
<td valign="middle" align="left">NA</td>
</tr>
<tr>
<td valign="middle" align="left"/>
<td valign="middle" align="left">N1</td>
<td valign="middle" align="left">209.44 &#xb1; 4.19cd</td>
<td valign="middle" align="left">25.94 &#xb1; 1.81c</td>
<td valign="middle" align="left">28.96 &#xb1; 1.45c</td>
<td valign="bottom" align="left">33.82 &#xb1; 0.68b</td>
<td valign="bottom" align="left">36.22 &#xb1; 0.72a</td>
<td valign="bottom" align="left">36.20 &#xb1; 0.72a</td>
<td valign="bottom" align="left">144.72 &#xb1; 2.89b</td>
</tr>
<tr>
<td valign="middle" align="left"/>
<td valign="middle" align="left">N2</td>
<td valign="middle" align="left">211.99 &#xb1; 4.24cd</td>
<td valign="middle" align="left">29.36 &#xb1; 2.05ab</td>
<td valign="middle" align="left">33.18 &#xb1; 1.66b</td>
<td valign="bottom" align="left">27.45 &#xb1; 0.55c</td>
<td valign="bottom" align="left">33.92 &#xb1; 0.68bc</td>
<td valign="bottom" align="left">30.05 &#xb1; 0.60b</td>
<td valign="bottom" align="left">82.91 &#xb1; 1.66e</td>
</tr>
<tr>
<td valign="middle" align="left"/>
<td valign="middle" align="left">N3</td>
<td valign="middle" align="left">215.23 &#xb1; 9.75c</td>
<td valign="middle" align="left">31.00 &#xb1; 1.16a</td>
<td valign="middle" align="left">35.56 &#xb1; 0.28a</td>
<td valign="bottom" align="left">22.56 &#xb1; 0.93d</td>
<td valign="bottom" align="left">32.66 &#xb1; 1.34cd</td>
<td valign="bottom" align="left">27.61 &#xb1; 1.13c</td>
<td valign="bottom" align="left">60.02 &#xb1; 2.47g</td>
</tr>
<tr>
<td valign="middle" align="left"/>
<td valign="middle" align="left">N4</td>
<td valign="middle" align="left">219.01 &#xb1; 8.81c</td>
<td valign="middle" align="left">23.94 &#xb1; 2.15cd</td>
<td valign="middle" align="left">27.91 &#xb1; 1.40cd</td>
<td valign="bottom" align="left">7.23 &#xb1; 0.30i</td>
<td valign="bottom" align="left">25.85 &#xb1; 1.06h</td>
<td valign="bottom" align="left">11.87 &#xb1; 0.24h</td>
<td valign="bottom" align="left">34.86 &#xb1; 0.70i</td>
</tr>
<tr>
<td valign="middle" align="left">W2</td>
<td valign="middle" align="left">N0</td>
<td valign="middle" align="left">282.19 &#xb1; 5.64b</td>
<td valign="middle" align="left">21.95 &#xb1; 1.41def</td>
<td valign="middle" align="left">23.59 &#xb1; 1.08e</td>
<td valign="middle" align="left">NA</td>
<td valign="middle" align="left">NA</td>
<td valign="middle" align="left">NA</td>
<td valign="middle" align="left">NA</td>
</tr>
<tr>
<td valign="middle" align="left"/>
<td valign="middle" align="left">N1</td>
<td valign="middle" align="left">289.69 &#xb1; 5.79b</td>
<td valign="middle" align="left">26.61 &#xb1; 1.46bc</td>
<td valign="middle" align="left">29.36 &#xb1; 1.03c</td>
<td valign="bottom" align="left">40.40 &#xb1; 0.81a</td>
<td valign="bottom" align="left">35.08 &#xb1; 0.70ab</td>
<td valign="bottom" align="left">24.66 &#xb1; 0.49d</td>
<td valign="bottom" align="left">205.42 &#xb1; 4.11a</td>
</tr>
<tr>
<td valign="middle" align="left"/>
<td valign="middle" align="left">N2</td>
<td valign="middle" align="left">293.27 &#xb1; 5.87b</td>
<td valign="middle" align="left">29.99 &#xb1; 2.10a</td>
<td valign="middle" align="left">33.49 &#xb1; 1.67b</td>
<td valign="bottom" align="left">34.64 &#xb1; 0.69b</td>
<td valign="bottom" align="left">31.27 &#xb1; 0.63def</td>
<td valign="bottom" align="left">21.15 &#xb1; 0.42e</td>
<td valign="bottom" align="left">117.15 &#xb1; 2.34c</td>
</tr>
<tr>
<td valign="middle" align="left"/>
<td valign="middle" align="left">N3</td>
<td valign="middle" align="left">291.19 &#xb1; 6.97b</td>
<td valign="middle" align="left">26.22 &#xb1; 1.93c</td>
<td valign="middle" align="left">29.07 &#xb1; 1.45c</td>
<td valign="bottom" align="left">12.95 &#xb1; 0.53g</td>
<td valign="bottom" align="left">29.82 &#xb1; 1.24ef</td>
<td valign="bottom" align="left">14.74 &#xb1; 0.61f</td>
<td valign="bottom" align="left">67.81 &#xb1; 2.82f</td>
</tr>
<tr>
<td valign="middle" align="left"/>
<td valign="middle" align="left">N4</td>
<td valign="middle" align="left">292.88 &#xb1; 8.01b</td>
<td valign="middle" align="left">23.77 &#xb1; 1.83cde</td>
<td valign="middle" align="left">26.50 &#xb1; 1.32d</td>
<td valign="bottom" align="left">5.16 &#xb1; 0.21j</td>
<td valign="bottom" align="left">30.11 &#xb1; 1.25ef</td>
<td valign="bottom" align="left">10.48 &#xb1; 0.44ij</td>
<td valign="bottom" align="left">46.42 &#xb1; 1.93h</td>
</tr>
<tr>
<td valign="middle" align="left">W3</td>
<td valign="middle" align="left">N0</td>
<td valign="middle" align="left">364.35 &#xb1; 8.39a</td>
<td valign="middle" align="left">19.28 &#xb1; 1.41f</td>
<td valign="middle" align="left">20.80 &#xb1; 1.04g</td>
<td valign="middle" align="left">NA</td>
<td valign="middle" align="left">NA</td>
<td valign="middle" align="left">NA</td>
<td valign="middle" align="left">NA</td>
</tr>
<tr>
<td valign="middle" align="left"/>
<td valign="middle" align="left">N1</td>
<td valign="middle" align="left">367.59 &#xb1; 7.35a</td>
<td valign="middle" align="left">21.17 &#xb1; 1.48def</td>
<td valign="middle" align="left">23.04 &#xb1; 1.15ef</td>
<td valign="bottom" align="left">20.22 &#xb1; 0.40g</td>
<td valign="bottom" align="left">35.23 &#xb1; 0.70ab</td>
<td valign="bottom" align="left">13.38 &#xb1; 0.27g</td>
<td valign="bottom" align="left">207.30 &#xb1; 4.15a</td>
</tr>
<tr>
<td valign="middle" align="left"/>
<td valign="middle" align="left">N2</td>
<td valign="middle" align="left">371.72 &#xb1; 7.43a</td>
<td valign="middle" align="left">21.76 &#xb1; 1.52def</td>
<td valign="middle" align="left">23.95 &#xb1; 1.20e</td>
<td valign="bottom" align="left">14.19 &#xb1; 0.28f</td>
<td valign="bottom" align="left">31.54 &#xb1; 0.63de</td>
<td valign="bottom" align="left">11.54 &#xb1; 0.23hi</td>
<td valign="bottom" align="left">107.73 &#xb1; 2.15d</td>
</tr>
<tr>
<td valign="middle" align="left"/>
<td valign="middle" align="left">N3</td>
<td valign="middle" align="left">374.34 &#xb1; 7.49a</td>
<td valign="middle" align="left">21.86 &#xb1; 1.55def</td>
<td valign="middle" align="left">24.24 &#xb1; 1.24e</td>
<td valign="bottom" align="left">10.32 &#xb1; 0.21h</td>
<td valign="bottom" align="left">29.73 &#xb1; 0.59f</td>
<td valign="bottom" align="left">10.45 &#xb1; 0.21i</td>
<td valign="bottom" align="left">72.67 &#xb1; 1.45f</td>
</tr>
<tr>
<td valign="middle" align="left"/>
<td valign="middle" align="left">N4</td>
<td valign="middle" align="left">375.54 &#xb1; 7.51a</td>
<td valign="middle" align="left">19.03 &#xb1; 1.11f</td>
<td valign="middle" align="left">21.17 &#xb1; 0.81fg</td>
<td valign="bottom" align="left">0.84 &#xb1; 0.02k</td>
<td valign="bottom" align="left">27.83 &#xb1; 0.56g</td>
<td valign="bottom" align="left">1.36 &#xb1; 0.03k</td>
<td valign="bottom" align="left">47.61 &#xb1; 0.95h</td>
</tr>
<tr>
<th valign="middle" colspan="10" align="left">Variation source</th>
</tr>
<tr>
<td valign="middle" rowspan="3" align="left"/>
<td valign="middle" colspan="2" align="left">W</td>
<td valign="middle" align="left">**</td>
<td valign="middle" align="left">**</td>
<td valign="middle" align="left">**</td>
<td valign="middle" align="left">**</td>
<td valign="middle" align="left">**</td>
<td valign="middle" align="left">**</td>
<td valign="middle" align="left">**</td>
</tr>
<tr>
<td valign="middle" colspan="2" align="left">N</td>
<td valign="middle" align="left">**</td>
<td valign="middle" align="left">**</td>
<td valign="middle" align="left">**</td>
<td valign="middle" align="left">**</td>
<td valign="middle" align="left">**</td>
<td valign="middle" align="left">**</td>
<td valign="middle" align="left">**</td>
</tr>
<tr>
<td valign="middle" colspan="2" align="left">W&#xd7;N</td>
<td valign="middle" align="left">ns</td>
<td valign="middle" align="left">**</td>
<td valign="middle" align="left">**</td>
<td valign="middle" align="left">**</td>
<td valign="middle" align="left">**</td>
<td valign="middle" align="left">**</td>
<td valign="middle" align="left">**</td>
</tr>
<tr>
<td valign="middle" rowspan="15" align="left">2023</td>
<td valign="middle" align="left">W1</td>
<td valign="middle" align="left">N0</td>
<td valign="bottom" align="left">373.73 &#xb1; 9.37c</td>
<td valign="middle" align="left">23.29 &#xb1; 1.33c</td>
<td valign="middle" align="left">46.47 &#xb1; 3.29c</td>
<td valign="middle" align="left">NA</td>
<td valign="middle" align="left">NA</td>
<td valign="middle" align="left">NA</td>
<td valign="middle" align="left">NA</td>
</tr>
<tr>
<td valign="middle" align="left"/>
<td valign="middle" align="left">N1</td>
<td valign="bottom" align="left">375.19 &#xb1; 7.50c</td>
<td valign="middle" align="left">24.49 &#xb1; 1.86abc</td>
<td valign="middle" align="left">48.98 &#xb1; 2.91bc</td>
<td valign="middle" align="left">12.55 &#xb1; 0.25f</td>
<td valign="bottom" align="left">60.41 &#xb1; 1.12a</td>
<td valign="bottom" align="left">12.67 &#xb1; 0.25d</td>
<td valign="middle" align="left">122.39 &#xb1; 2.45b</td>
</tr>
<tr>
<td valign="middle" align="left"/>
<td valign="middle" align="left">N2</td>
<td valign="bottom" align="left">380.14 &#xb1; 7.60c</td>
<td valign="middle" align="left">25.79 &#xb1; 1.24a</td>
<td valign="middle" align="left">52.28 &#xb1; 1.56a</td>
<td valign="middle" align="left">14.51 &#xb1; 0.29e</td>
<td valign="bottom" align="left">52.83 &#xb1; 1.06b</td>
<td valign="bottom" align="left">15.41 &#xb1; 0.31b</td>
<td valign="middle" align="left">65.31 &#xb1; 1.31d</td>
</tr>
<tr>
<td valign="middle" align="left"/>
<td valign="middle" align="left">N3</td>
<td valign="bottom" align="left">384.18 &#xb1; 7.68c</td>
<td valign="middle" align="left">25.13 &#xb1; 1.16ab</td>
<td valign="middle" align="left">51.49 &#xb1; 1.76ab</td>
<td valign="middle" align="left">8.47 &#xb1; 0.35g</td>
<td valign="bottom" align="left">46.82 &#xb1; 1.92c</td>
<td valign="bottom" align="left">10.14 &#xb1; 0.42e</td>
<td valign="middle" align="left">43.46 &#xb1; 1.79f</td>
</tr>
<tr>
<td valign="middle" align="left"/>
<td valign="middle" align="left">N4</td>
<td valign="bottom" align="left">385.92 &#xb1; 12.95c</td>
<td valign="middle" align="left">23.78 &#xb1; 0.59bc</td>
<td valign="middle" align="left">48.94 &#xb1; 1.12bc</td>
<td valign="middle" align="left">3.13 &#xb1; 0.13i</td>
<td valign="bottom" align="left">45.12 &#xb1; 1.85cd</td>
<td valign="bottom" align="left">5.08 &#xb1; 0.10f</td>
<td valign="middle" align="left">30.57 &#xb1; 0.61g</td>
</tr>
<tr>
<td valign="middle" align="left">W2</td>
<td valign="middle" align="left">N0</td>
<td valign="bottom" align="left">533.89 &#xb1; 10.68b</td>
<td valign="middle" align="left">17.17 &#xb1; 0.37e</td>
<td valign="middle" align="left">34.94 &#xb1; 0.61fg</td>
<td valign="middle" align="left">NA</td>
<td valign="middle" align="left">NA</td>
<td valign="middle" align="left">NA</td>
<td valign="middle" align="left">NA</td>
</tr>
<tr>
<td valign="middle" align="left"/>
<td valign="middle" align="left">N1</td>
<td valign="bottom" align="left">541.39 &#xb1; 10.83b</td>
<td valign="middle" align="left">18.37 &#xb1; 0.33e</td>
<td valign="middle" align="left">37.91 &#xb1; 0.59e</td>
<td valign="middle" align="left">20.78 &#xb1; 0.42c</td>
<td valign="bottom" align="left">44.84 &#xb1; 0.90cd</td>
<td valign="bottom" align="left">12.68 &#xb1; 0.25d</td>
<td valign="middle" align="left">132.61 &#xb1; 2.65a</td>
</tr>
<tr>
<td valign="middle" align="left"/>
<td valign="middle" align="left">N2</td>
<td valign="bottom" align="left">539.89 &#xb1; 10.80b</td>
<td valign="middle" align="left">20.13 &#xb1; 0.73d</td>
<td valign="middle" align="left">41.42 &#xb1; 1.55d</td>
<td valign="middle" align="left">22.68 &#xb1; 0.45b</td>
<td valign="bottom" align="left">38.37 &#xb1; 0.77fg</td>
<td valign="bottom" align="left">13.85 &#xb1; 0.28c</td>
<td valign="middle" align="left">72.45 &#xb1; 1.45c</td>
</tr>
<tr>
<td valign="middle" align="left"/>
<td valign="middle" align="left">N3</td>
<td valign="bottom" align="left">543.58 &#xb1; 10.77b</td>
<td valign="middle" align="left">20.16 &#xb1; 0.29d</td>
<td valign="middle" align="left">41.76 &#xb1; 0.23d</td>
<td valign="middle" align="left">16.12 &#xb1; 0.66d</td>
<td valign="bottom" align="left">42.58 &#xb1; 1.75de</td>
<td valign="bottom" align="left">18.07 &#xb1; 0.74a</td>
<td valign="middle" align="left">49.35 &#xb1; 2.03e</td>
</tr>
<tr>
<td valign="middle" align="left"/>
<td valign="middle" align="left">N4</td>
<td valign="bottom" align="left">546.63 &#xb1; 13.19b</td>
<td valign="middle" align="left">17.18 &#xb1; 0.53e</td>
<td valign="middle" align="left">35.80 &#xb1; 1.22ef</td>
<td valign="middle" align="left">1.52 &#xb1; 0.06j</td>
<td valign="bottom" align="left">40.12 &#xb1; 1.65efg</td>
<td valign="bottom" align="left">2.97 &#xb1; 0.12g</td>
<td valign="middle" align="left">31.72 &#xb1; 1.30g</td>
</tr>
<tr>
<td valign="middle" align="left">W3</td>
<td valign="middle" align="left">N0</td>
<td valign="bottom" align="left">700.53 &#xb1; 12.32a</td>
<td valign="middle" align="left">13.20 &#xb1; 0.05h</td>
<td valign="middle" align="left">27.41 &#xb1; 0.57j</td>
<td valign="middle" align="left">NA</td>
<td valign="middle" align="left">NA</td>
<td valign="middle" align="left">NA</td>
<td valign="middle" align="left">NA</td>
</tr>
<tr>
<td valign="middle" align="left"/>
<td valign="middle" align="left">N1</td>
<td valign="bottom" align="left">710.69 &#xb1; 14.21a</td>
<td valign="middle" align="left">14.28 &#xb1; 0.35fgh</td>
<td valign="middle" align="left">30.08 &#xb1; 0.96hi</td>
<td valign="middle" align="left">24.07 &#xb1; 0.48a</td>
<td valign="bottom" align="left">45.55 &#xb1; 0.91cd</td>
<td valign="bottom" align="left">14.05 &#xb1; 0.28c</td>
<td valign="middle" align="left">135.31 &#xb1; 2.71a</td>
</tr>
<tr>
<td valign="middle" align="left"/>
<td valign="middle" align="left">N2</td>
<td valign="bottom" align="left">710.39 &#xb1; 14.21a</td>
<td valign="middle" align="left">15.48 &#xb1; 0.23f</td>
<td valign="middle" align="left">32.61 &#xb1; 0.71gh</td>
<td valign="middle" align="left">23.38 &#xb1; 0.47ab</td>
<td valign="bottom" align="left">42.58 &#xb1; 0.85de</td>
<td valign="bottom" align="left">17.99 &#xb1; 0.36a</td>
<td valign="middle" align="left">73.33 &#xb1; 1.47c</td>
</tr>
<tr>
<td valign="middle" align="left"/>
<td valign="middle" align="left">N3</td>
<td valign="bottom" align="left">712.94 &#xb1; 14.26a</td>
<td valign="middle" align="left">15.26 &#xb1; 0.33fg</td>
<td valign="middle" align="left">32.25 &#xb1; 1.00h</td>
<td valign="middle" align="left">14.52 &#xb1; 0.29e</td>
<td valign="bottom" align="left">40.90 &#xb1; 0.82ef</td>
<td valign="bottom" align="left">15.33 &#xb1; 0.31b</td>
<td valign="middle" align="left">48.35 &#xb1; 0.97ef</td>
</tr>
<tr>
<td valign="middle" align="left"/>
<td valign="middle" align="left">N4</td>
<td valign="bottom" align="left">713.69 &#xb1; 14.27a</td>
<td valign="middle" align="left">13.89 &#xb1; 0.56gh</td>
<td valign="middle" align="left">29.38 &#xb1; 0.62ij</td>
<td valign="middle" align="left">4.43 &#xb1; 0.09h</td>
<td valign="bottom" align="left">36.97 &#xb1; 0.74g</td>
<td valign="bottom" align="left">5.23 &#xb1; 0.10f</td>
<td valign="middle" align="left">33.04 &#xb1; 0.66g</td>
</tr>
<tr>
<th valign="middle" colspan="10" align="left">Variation source</th>
</tr>
<tr>
<td valign="middle" rowspan="3" align="left"/>
<td valign="middle" colspan="2" align="left">W</td>
<td valign="middle" align="left">**</td>
<td valign="middle" align="left">**</td>
<td valign="middle" align="left">**</td>
<td valign="middle" align="left">**</td>
<td valign="middle" align="left">**</td>
<td valign="middle" align="left">**</td>
<td valign="middle" align="left">**</td>
</tr>
<tr>
<td valign="middle" colspan="2" align="left">N</td>
<td valign="middle" align="left">ns</td>
<td valign="middle" align="left">**</td>
<td valign="middle" align="left">**</td>
<td valign="middle" align="left">**</td>
<td valign="middle" align="left">**</td>
<td valign="middle" align="left">**</td>
<td valign="middle" align="left">**</td>
</tr>
<tr>
<td valign="middle" colspan="2" align="left">W&#xd7;N</td>
<td valign="middle" align="left">ns</td>
<td valign="middle" align="left">ns</td>
<td valign="middle" align="left">ns</td>
<td valign="middle" align="left">**</td>
<td valign="middle" align="left">**</td>
<td valign="middle" align="left">**</td>
<td valign="middle" align="left">*</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>Data are presented as mean &#xb1; SD (n = 3). Based on Tukey&#x2019;s test (<italic>p</italic>&lt; 0.05), different lowercase letters indicate significant differences in the means between treatments. The treatment abbreviations are the same as those in <xref ref-type="table" rid="T1">
<bold>Table&#xa0;1</bold>
</xref>.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<table-wrap id="T4" position="float">
<label>Table&#xa0;4</label>
<caption>
<p>Effects of irrigation (W) and nitrogen (N) treatments on evapotranspiration (ET<italic>
<sub>C</sub>
</italic>), crop water productivity (WP<sub>C</sub>), irrigation water productivity (WP<sub>I</sub>), nitrogen agronomic efficiency (AEN), nitrogen use efficiency (NUE), nitrogen physiological efficiency (PEN) and partial factor productivity of nitrogen (PFPN) of alfalfa in 2022 and 2023.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" align="left">Year</th>
<th valign="middle" align="left">Treatment</th>
<th valign="middle" align="left">
<italic>ET<sub>C</sub>
</italic> (mm)</th>
<th valign="middle" align="left">Crop water productivity (kg m<sup>3</sup>)</th>
<th valign="middle" align="left">Irrigation water productivity (kg m<sup>3</sup>)</th>
<th valign="middle" align="left">Agronomic efficiency of N (kg kg<sup>-1</sup>)</th>
<th valign="middle" align="left">N use efficiency (%)</th>
<th valign="middle" align="left">Physiological efficiency of N (kg kg<sup>-1</sup>)</th>
<th valign="middle" align="left">Partial factor productivity of N (kg kg<sup>-1</sup>)</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" rowspan="8" align="left">2022</td>
<td valign="middle" align="left">W1</td>
<td valign="middle" align="left">214.22 &#xb1; 8.80c</td>
<td valign="middle" align="left">26.53 &#xb1; 1.09a</td>
<td valign="middle" align="left">29.95 &#xb1; 1.23a</td>
<td valign="middle" align="left">23.07 &#xb1; 0.95a</td>
<td valign="middle" align="left">32.59 &#xb1; 1.34a</td>
<td valign="middle" align="left">26.79 &#xb1; 1.10a</td>
<td valign="middle" align="left">81.70 &#xb1; 3.36b</td>
</tr>
<tr>
<td valign="middle" align="left">W2</td>
<td valign="middle" align="left">289.85 &#xb1; 5.80b</td>
<td valign="middle" align="left">25.71 &#xb1; 0.51a</td>
<td valign="middle" align="left">28.40 &#xb1; 0.57a</td>
<td valign="middle" align="left">23.29 &#xb1; 0.47a</td>
<td valign="middle" align="left">31.76 &#xb1; 0.64a</td>
<td valign="middle" align="left">17.83 &#xb1; 0.36b</td>
<td valign="middle" align="left">109.56 &#xb1; 2.19a</td>
</tr>
<tr>
<td valign="middle" align="left">W3</td>
<td valign="middle" align="left">370.71 &#xb1; 7.41a</td>
<td valign="middle" align="left">20.62 &#xb1; 0.41b</td>
<td valign="middle" align="left">22.64 &#xb1; 0.45b</td>
<td valign="middle" align="left">11.39 &#xb1; 0.23c</td>
<td valign="middle" align="left">31.08 &#xb1; 0.62a</td>
<td valign="middle" align="left">9.18 &#xb1; 0.18c</td>
<td valign="middle" align="left">108.83 &#xb1; 2.18a</td>
</tr>
<tr>
<td valign="middle" align="left">N0</td>
<td valign="middle" align="left">286.40 &#xb1; 11.77a</td>
<td valign="bottom" align="left">20.91 &#xb1; 0.86d</td>
<td valign="bottom" align="left">22.49 &#xb1; 0.92d</td>
<td valign="bottom" align="left">NA</td>
<td valign="bottom" align="left">NA</td>
<td valign="bottom" align="left">NA</td>
<td valign="middle" align="left">NA</td>
</tr>
<tr>
<td valign="middle" align="left">N1</td>
<td valign="middle" align="left">292.76 &#xb1; 12.03a</td>
<td valign="middle" align="left">24.90 &#xb1; 1.02b</td>
<td valign="middle" align="left">27.48 &#xb1; 1.13b</td>
<td valign="middle" align="left">31.90 &#xb1; 1.31a</td>
<td valign="middle" align="left">35.98 &#xb1; 1.48a</td>
<td valign="middle" align="left">25.07 &#xb1; 1.03a</td>
<td valign="middle" align="left">188.29 &#xb1; 7.74a</td>
</tr>
<tr>
<td valign="middle" align="left">N2</td>
<td valign="middle" align="left">292.32 &#xb1; 5.85a</td>
<td valign="middle" align="left">27.03 &#xb1; 0.54a</td>
<td valign="middle" align="left">30.21 &#xb1; 0.60a</td>
<td valign="middle" align="left">25.43 &#xb1; 0.51b</td>
<td valign="middle" align="left">32.24 &#xb1; 0.64b</td>
<td valign="middle" align="left">20.91 &#xb1; 0.42b</td>
<td valign="middle" align="left">102.59 &#xb1; 2.05b</td>
</tr>
<tr>
<td valign="middle" align="left">N3</td>
<td valign="middle" align="left">293.59 &#xb1; 5.87a</td>
<td valign="middle" align="left">26.36 &#xb1; 0.53a</td>
<td valign="middle" align="left">29.62 &#xb1; 0.59a</td>
<td valign="middle" align="left">15.28 &#xb1; 0.31c</td>
<td valign="middle" align="left">30.85 &#xb1; 0.62b</td>
<td valign="middle" align="left">17.64 &#xb1; 0.35c</td>
<td valign="middle" align="left">67.13 &#xb1; 1.34c</td>
</tr>
<tr>
<td valign="middle" align="left">N4</td>
<td valign="middle" align="left">299.75 &#xb1; 12.32a</td>
<td valign="middle" align="left">22.54 &#xb1; 0.93c</td>
<td valign="middle" align="left">25.53 &#xb1; 1.05c</td>
<td valign="middle" align="left">4.47 &#xb1; 0.18d</td>
<td valign="middle" align="left">28.45 &#xb1; 1.17c</td>
<td valign="middle" align="left">8.08 &#xb1; 0.33d</td>
<td valign="middle" align="left">43.72 &#xb1; 1.80d</td>
</tr>
<tr>
<td valign="top" rowspan="8" align="left">2023</td>
<td valign="middle" align="left">W1</td>
<td valign="middle" align="left">384.90 &#xb1; 15.81c</td>
<td valign="middle" align="left">24.82 &#xb1; 1.02a</td>
<td valign="middle" align="left">50.29 &#xb1; 2.07a</td>
<td valign="middle" align="left">9.79 &#xb1; 0.40c</td>
<td valign="middle" align="left">51.98 &#xb1; 2.14a</td>
<td valign="middle" align="left">10.97 &#xb1; 0.45c</td>
<td valign="middle" align="left">66.31 &#xb1; 2.72b</td>
</tr>
<tr>
<td valign="middle" align="left">W2</td>
<td valign="middle" align="left">541.08 &#xb1; 10.82b</td>
<td valign="middle" align="left">18.60 &#xb1; 0.37b</td>
<td valign="middle" align="left">38.37 &#xb1; 0.77b</td>
<td valign="middle" align="left">15.28 &#xb1; 0.31b</td>
<td valign="middle" align="left">41.48 &#xb1; 0.83b</td>
<td valign="middle" align="left">11.89 &#xb1; 0.24b</td>
<td valign="middle" align="left">71.53 &#xb1; 1.43a</td>
</tr>
<tr>
<td valign="middle" align="left">W3</td>
<td valign="middle" align="left">709.65 &#xb1; 14.19a</td>
<td valign="middle" align="left">14.42 &#xb1; 0.29c</td>
<td valign="middle" align="left">30.35 &#xb1; 0.61c</td>
<td valign="middle" align="left">16.60 &#xb1; 0.33a</td>
<td valign="middle" align="left">41.50 &#xb1; 0.83b</td>
<td valign="middle" align="left">13.15 &#xb1; 0.26a</td>
<td valign="middle" align="left">72.50 &#xb1; 1.45a</td>
</tr>
<tr>
<td valign="middle" align="left">N0</td>
<td valign="middle" align="left">543.20 &#xb1; 22.32a</td>
<td valign="middle" align="left">18.13 &#xb1; 0.74c</td>
<td valign="middle" align="left">36.76 &#xb1; 1.51b</td>
<td valign="middle" align="left">NA</td>
<td valign="middle" align="left">NA</td>
<td valign="middle" align="left">NA</td>
<td valign="middle" align="left">NA</td>
</tr>
<tr>
<td valign="middle" align="left">N1</td>
<td valign="middle" align="left">549.66 &#xb1; 22.58a</td>
<td valign="middle" align="left">19.30 &#xb1; 0.79abc</td>
<td valign="middle" align="left">39.51 &#xb1; 1.62ab</td>
<td valign="middle" align="left">19.39 &#xb1; 0.80a</td>
<td valign="middle" align="left">50.94 &#xb1; 2.09a</td>
<td valign="middle" align="left">13.31 &#xb1; 0.55c</td>
<td valign="middle" align="left">131.84 &#xb1; 5.42a</td>
</tr>
<tr>
<td valign="middle" align="left">N2</td>
<td valign="middle" align="left">543.47 &#xb1; 10.87a</td>
<td valign="middle" align="left">20.47 &#xb1; 0.41a</td>
<td valign="middle" align="left">42.10 &#xb1; 0.84a</td>
<td valign="middle" align="left">20.19 &#xb1; 0.40a</td>
<td valign="middle" align="left">44.60 &#xb1; 0.89b</td>
<td valign="middle" align="left">15.75 &#xb1; 0.31a</td>
<td valign="middle" align="left">70.36 &#xb1; 1.41b</td>
</tr>
<tr>
<td valign="middle" align="left">N3</td>
<td valign="middle" align="left">546.90 &#xb1; 10.94a</td>
<td valign="middle" align="left">20.18 &#xb1; 0.40ab</td>
<td valign="middle" align="left">41.83 &#xb1; 0.84a</td>
<td valign="middle" align="left">13.04 &#xb1; 0.26b</td>
<td valign="middle" align="left">43.43 &#xb1; 0.87bc</td>
<td valign="middle" align="left">14.51 &#xb1; 0.29b</td>
<td valign="middle" align="left">47.05 &#xb1; 0.94c</td>
</tr>
<tr>
<td valign="middle" align="left">N4</td>
<td valign="middle" align="left">556.06 &#xb1; 22.85a</td>
<td valign="middle" align="left">18.53 &#xb1; 0.76bc</td>
<td valign="middle" align="left">38.55 &#xb1; 1.58ab</td>
<td valign="middle" align="left">3.07 &#xb1; 0.13c</td>
<td valign="middle" align="left">40.46 &#xb1; 0.47c</td>
<td valign="middle" align="left">4.49 &#xb1; 0.18d</td>
<td valign="middle" align="left">32.20 &#xb1; 1.32d</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>Data are presented as mean &#xb1; SD (n = 3). Based on Tukey&#x2019;s test (<italic>p</italic>&lt; 0.05), different lowercase letters indicate significant differences in the means between treatments. The treatment abbreviations are the same as those in <xref ref-type="table" rid="T1">
<bold>Table&#xa0;1</bold>
</xref>.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>In both years, the PFPN at W2 level significantly increased by 8%-34% compared with that at W1 level, but there was no difference between W3 and W1 levels. In both years, the AEN, NUE, PEN, and PFPN significantly reduced with the increase of N rate. The average AEN, NUE, PEN, and PFPN of the N4 treatment decreased by 85%, 21%, 64%, and 76%, respectively compared with those of the N0 treatment. The W3N1 treatment had the highest PFPN, and there was no difference between W3N1 and W2N1 treatment. The W1N1 treatment had the highest NUE (<xref ref-type="table" rid="T3">
<bold>Tables&#xa0;3</bold>
</xref>, <xref ref-type="table" rid="T4">
<bold>4</bold>
</xref>).</p>
</sec>
<sec id="s3_3">
<label>3.3</label>
<title>N<sub>2</sub>O emissions, soil moisture content, and inorganic nitrogen content</title>
<p>In 2022, N<sub>2</sub>O flux peaks were observed at 14 and 74 days (12 and 7 days after N topdressing, respectively). In 2023, N<sub>2</sub>O flux peaks were observed at 14, 52, and 80 days (12, 7, and 7 days after the first, second, and third N topdressing). In the later stages of crop growth, irrigation and N treatments had little effect on N<sub>2</sub>O flux (<xref ref-type="fig" rid="f2">
<bold>Figure&#xa0;2</bold>
</xref>).</p>
<fig id="f2" position="float">
<label>Figure&#xa0;2</label>
<caption>
<p>Effects of irrigation (W) and nitrogen (N) treatments on N<sub>2</sub>O fluxes during the alfalfa growing seasons in 2022 and 2023. Error bars represent standard deviation (SD). The red arrows indicate fertilization events. W1, W2, and W3 represent irrigation rates of 375, 525, and 675 mm, respectively, and N0, N1, N2, N3, and N4 represent nitrogen application rates of 0, 75, 150, 225, and 300 kg ha<sup>-1</sup>, respectively.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fpls-16-1598110-g002.tif"/>
</fig>
<p>Irrigation (W), N fertilization (N), and their interaction (W &#xd7; N) had significant effects on the cumulative N<sub>2</sub>O emissions. With the increase of irrigation and N rates, the cumulative N<sub>2</sub>O emissions showed an increasing trend. In 2022 and 2023, the cumulative N<sub>2</sub>O emissions at W3 level increased by 82% and 106%, respectively compared with that at W1 level, and the cumulative N<sub>2</sub>O emissions of the N4 treatment increased by 192% and 153%, respectively compared with that of the N0 treatment (<xref ref-type="fig" rid="f3">
<bold>Figure&#xa0;3</bold>
</xref>). The W3N4 treatment had the highest cumulative N<sub>2</sub>O emissions, and the W1N0 treatment had the lowest cumulative N<sub>2</sub>O emissions (<xref ref-type="fig" rid="f3">
<bold>Figure&#xa0;3</bold>
</xref>). The change of N<sub>2</sub>O emission coefficient was similar to that of the cumulative N<sub>2</sub>O emissions in the two years. The W3N4 treatment had the highest N<sub>2</sub>O emission coefficient.</p>
<fig id="f3" position="float">
<label>Figure&#xa0;3</label>
<caption>
<p>Effects of irrigation (W) and nitrogen (N) treatments on the cumulative N<sub>2</sub>O emissions during the alfalfa growing seasons in 2022 and 2023. Different lowercase letters indicate significant differences between treatments at <italic>p</italic>&lt; 0.05 (Tukey&#x2019;s test). The treatment abbreviations are the same as those in <xref ref-type="fig" rid="f2">
<bold>Figure&#xa0;2</bold>
</xref>.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fpls-16-1598110-g003.tif"/>
</fig>
<p>In the two years, irrigation and N fertilization had no significant effect on WFPS values due to the short irrigation interval. However, the WFPS value increased with the increase of irrigation rate, and the WFPS value of the N1 treatment decreased compared with that of the N0 treatment at each irrigation level (<xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary Figure S1</bold>
</xref>).</p>
<p>Soil inorganic N content showed similar dynamics in the two years. In 2022 and 2023, the content of NH<sub>4</sub>
<sup>+</sup>-N ranged from 2.2 to 4.0 mg kg<sup>-1</sup> and the content of NO<sub>3</sub>
<sup>&#x2013;</sup>N ranged from 2.5 to 7.5 mg kg<sup>-1</sup> in the surface soil (<xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary Figure S2</bold>
</xref>, <xref ref-type="supplementary-material" rid="SM1">
<bold>S3</bold>
</xref>). Nitrogen application increased soil inorganic N contents compared with N0 treatment. Peaks in NO<sub>3</sub>
<sup>&#x2013;</sup>N content was observed during 10&#x2013;17 and 71&#x2013;77 days for all treatments in the first year, and during 10-17, 49-55, and 77&#x2013;83 days in the second year (<xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary Figure S3</bold>
</xref>). The NO<sub>3</sub>
<sup>&#x2013;</sup>N content was maintained at a high level under W3N4 treatment, and the irrigation treatment alone had no significant effect on the contents of NH<sub>4</sub>
<sup>+</sup>-N and NO<sub>3</sub>
<sup>&#x2013;</sup>N. soil N<sub>2</sub>O flux was significantly positively correlated with WFPS, NH<sub>4</sub>
<sup>+</sup>-N content, and NO<sub>3</sub>
<sup>&#x2013;</sup>N content during the two growing seasons (<xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary Figure S4</bold>
</xref>).</p>
</sec>
<sec id="s3_4">
<label>3.4</label>
<title>Pearson correlation analysis and structural equation modeling results</title>
<p>Most of the NUE indicators including AEN, NUE, PEN, and PFPN were positively correlated with RFV, WP<sub>C</sub>, and WP<sub>I</sub>, and negatively correlated with ADF, RDF, N<sub>2</sub>O flux, and N<sub>2</sub>O emission coefficient (<xref ref-type="fig" rid="f4">
<bold>Figure&#xa0;4</bold>
</xref>). Alfalfa yield was significantly positively correlated with CP, <italic>ET<sub>C</sub>
</italic>, and N<sub>2</sub>O emission coefficient.</p>
<fig id="f4" position="float">
<label>Figure&#xa0;4</label>
<caption>
<p>Correlation analysis of alfalfa yield, crude protein (CP), relative feeding value (RFV), acid detergent fiber (ADF), neutral detergent fiber (NDF), evapotranspiration (<italic>ET<sub>C</sub>
</italic>), crop water productivity (WP<sub>C</sub>), irrigation water productivity (WP<sub>I</sub>), nitrogen agronomic efficiency (AEN), nitrogen use efficiency (NUE), nitrogen physiological efficiency (PEN), partial factor productivity of nitrogen (PFPN), N<sub>2</sub>O flux, and N<sub>2</sub>O emission coefficient. Red and blue represent negative and positive correlations, respectively. *<italic>p</italic>&lt; 0.05; **<italic>p</italic>&lt; 0.01; ***<italic>p</italic>&lt; 0.001.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fpls-16-1598110-g004.tif"/>
</fig>
<p>The SEM model showed that increasing N rate resulted in an increase in N<sub>2</sub>O emissions and a decrease in NUE, with factor loading of 0.66 and -0.92, respectively (<italic>p</italic>&lt; 0.01). In addition, irrigation and N fertilization significantly increased CP content, yield, and WP<sub>C</sub>, with factor loading of 0.71, 0.54, and 0.92, respectively (<italic>p</italic>&lt; 0.01). Overall, the results supported the hypothesis of the model, that is moderately reducing irrigation and N application rates may maximize water and nutrient use efficiency and alfalfa yields while reducing the N<sub>2</sub>O emissions. (<xref ref-type="fig" rid="f5">
<bold>Figure&#xa0;5</bold>
</xref>).</p>
<fig id="f5" position="float">
<label>Figure&#xa0;5</label>
<caption>
<p>Structural equation modeling (SEM) for the effects of irrigation rate and nitrogen application rate on N<sub>2</sub>O emissions, N<sub>2</sub>O emission coefficients, nitrogen use efficiency, crop water productivity, yield, and crude protein content. The numbers adjacent to the arrows are the factor loading, which explains the variance of the observed variable, and the width of the line is proportional to the factor loading. The red and blue lines indicate negative and positive effects, respectively. Critical paths are marked with *.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fpls-16-1598110-g005.tif"/>
</fig>
</sec>
</sec>
<sec id="s4" sec-type="discussion">
<label>4</label>
<title>Discussion</title>
<p>Nitrous oxide emissions from farmland are affected by multiple factors, such as climatic factors, soil properties, and agricultural managements (<xref ref-type="bibr" rid="B3">Akiyama et&#xa0;al., 2009</xref>; <xref ref-type="bibr" rid="B8">Cai and Akiyama, 2017</xref>). The results of this study showed that there were different N<sub>2</sub>O flux peaks in each growing season. This is directly related to the increase of soil NO<sub>3</sub>
<sup>&#x2212;</sup> (2.5-7.5 mg N kg<sup>-1</sup>) after N fertilization. Interestingly, the first peak N<sub>2</sub>O flux occurred 12 days after the first N topdressing in the two years, and another peaks occurred 7 days after the second and third N topdressing. This may be related to the temperature change during the growing season. The increase in temperature during the second and third N topdressing can enhance the respiration of microorganisms, causing soil oxygen deficit. Denitrifying microorganisms utilize nitrate in soil as an electron acceptor and reduce it to nitrogen through a series of enzymatic reactions, accelerating the denitrification (<xref ref-type="bibr" rid="B7">Braker et&#xa0;al., 2010</xref>; <xref ref-type="bibr" rid="B10">ChengHsien et&#xa0;al., 2020</xref>). Therefore, the peaking time of N<sub>2</sub>O flux is significantly earlier than that after N application in spring. In addition, after N topdressing, the sufficient soil inorganic N, particularly nitrate nitrogen, provides more substrates for denitrifying microorganisms, accelerating the denitrification. This may also be an important reason for the early appearance of peak N<sub>2</sub>O flux (<xref ref-type="bibr" rid="B39">Millar et&#xa0;al., 2018</xref>; <xref ref-type="bibr" rid="B52">Schellenberg et&#xa0;al., 2012</xref>). It was also found that after the fourth harvest at 106 days in the second year, no significant N<sub>2</sub>O fluxes were observed after irrigation alone. This may be due to the fact that the substrates such as organic carbon and nitrogen in the soil are diluted or lost, resulting in insufficient substrates for microorganisms. This limits the growth and metabolism of microorganisms, and reduces their activities (<xref ref-type="bibr" rid="B30">Li et&#xa0;al., 2020</xref>). In this study, irrigation combined with N fertilization caused higher N<sub>2</sub>O emissions than irrigation alone. This may be due to the fact that high soil moisture content hinders gas diffusion, and causes an anaerobic soil environment. This makes the metabolic activities of denitrifying microorganisms more active, and increases soil denitrification potential and rate, i.e., reducing nitrate nitrogen to gaseous nitrogen more quickly, thus increasing N<sub>2</sub>O emissions (<xref ref-type="bibr" rid="B51">Sainju et&#xa0;al., 2012</xref>). In this study, compared with high irrigation rate W3 (675 mm), the irrigation rate 375&#x2013;525 mm was more conducive to improving soil permeability and microbial environment, thereby inhibiting denitrification and reducing N<sub>2</sub>O emissions (<xref ref-type="bibr" rid="B1">Abalos et&#xa0;al., 2014</xref>). High N application rates resulted in higher accumulative N<sub>2</sub>O emissions and higher N<sub>2</sub>O emission coefficients than other nitrogen application rate treatments in this study. This may be due to the fact that most of the applied N could not be absorbed and utilized by alfalfa, and the N residues in soil are used by soil microorganisms for nitrification and denitrification (<xref ref-type="bibr" rid="B36">Liu et&#xa0;al., 2017</xref>; <xref ref-type="bibr" rid="B37">Lyu et&#xa0;al., 2019</xref>), thereby increasing N<sub>2</sub>O emissions. It was found that when the N application rate was increased to 300 kg N ha<sup>-1</sup>, the two-year average N<sub>2</sub>O emission coefficient increased to 5% compared with that of the N1 treatment. Therefore, reducing the N application rate is an effective way to reduce the N<sub>2</sub>O emission in alfalfa planting, and N2 may be the optimal N rate because the two-year average N<sub>2</sub>O emissions of the N2 treatment could be significantly reduced by 63% compared with that of the N4 treatment.</p>
<p>Soil inorganic N is the main source of microbial N<sub>2</sub>O production (<xref ref-type="bibr" rid="B39">Millar et&#xa0;al., 2018</xref>; <xref ref-type="bibr" rid="B66">Xiao et&#xa0;al., 2018</xref>). This study results showed that the N<sub>2</sub>O flux peak was significantly enhanced after irrigation combined with N fertilization, and the soil NO<sub>3</sub>
<sup>&#x2013;</sup>N content was high during N<sub>2</sub>O flux peaks, and the high soil NO<sub>3</sub>
<sup>&#x2013;</sup>N content lasted for about two weeks after N topdressing. This result was validated by the correlation analysis results, that is, there was a significant positive correlation between N<sub>2</sub>O fluxes and NO<sub>3</sub>
<sup>&#x2013;</sup>N (R<sup>2</sup> = 0.82)/NH<sub>4</sub>
<sup>+</sup>-N (R<sup>2</sup> = 0.21) content.</p>
<p>Optimizing WP<sub>C</sub> is one of the focus of this study. It can be achieved by reducing <italic>ET<sub>C</sub>
</italic> and increasing alfalfa yield (<xref ref-type="bibr" rid="B33">Li et&#xa0;al., 2019</xref>). In this study, the WP<sub>C</sub> at W3 level was lower than that at W1 and W2 levels. This may be due to the increased soil <italic>ET<sub>C</sub>
</italic> and percolation (<xref ref-type="table" rid="T4">
<bold>Table&#xa0;4</bold>
</xref>) (<xref ref-type="bibr" rid="B33">Li et&#xa0;al., 2019</xref>; <xref ref-type="bibr" rid="B9">Cai et&#xa0;al., 2020</xref>). Besides, it was found that the effect of N application rates on <italic>ET<sub>C</sub>
</italic> was not significant, but the N application rate of 150&#x2013;225 kg N ha<sup>-1</sup> significantly increased alfalfa yield, so both WP<sub>C</sub> and WP<sub>I</sub> can be maximized. In 2023, at different irrigation levels, NAE increased significantly with the increase of irrigation rate, while NUE showed a downward trend. This may be due to the fact that under drought conditions, irrigation promotes alfalfa growth, and NAE continues to rise due to the release of yield potential. However, after exceeding the optimal irrigation rate, NUE decreases due to nitrogen losses through leaching and denitrification. This contradiction highlights the importance of water-nitrogen coupling optimization in alfalfa planting. The PFPN, AEN, NUE, and NP of the N4 treatment decreased compared with those of the N1 treatment. This is mainly due to that the imbalance between alfalfa N requirement and N supply (<xref ref-type="bibr" rid="B34">Liu et&#xa0;al., 2015</xref>) inhibits the growth and development of alfalfa roots, reduces the uptake of nutrients and water, and ultimately affects alfalfa yield (<xref ref-type="bibr" rid="B21">Islam et&#xa0;al., 2012</xref>). Therefore, the N application rate of 75&#x2013;225 kg ha<sup>-1</sup> is more conducive to promoting root development and root activity, regulate the distribution of photo assimilates in plant shoots, and effectively improve alfalfa resource use efficiency and yield, compared with other N application rates (<xref ref-type="bibr" rid="B60">Vasileva and Pachev, 2015</xref>). <xref ref-type="bibr" rid="B40">Mumford et&#xa0;al. (2019)</xref> reported that N<sub>2</sub>O emissions from dry farmlands are an important pathway for N loss and the main cause of low NUE. This is confirmed by the negative correlation between N<sub>2</sub>O emissions and NUE in this study (<xref ref-type="fig" rid="f4">
<bold>Figure&#xa0;4</bold>
</xref>). In conclusion, both over irrigation and over N application could affect alfalfa WP<sub>C</sub> and NUE, and the optimal irrigation(W2, 525 mm) and N application rates(N2/N3, 150&#x2013;225 kg ha<sup>-1</sup>) could achieve high resource use efficiency.</p>
<p>In arid and semi-arid regions, irrigation and fertilization are the main determinants of forage yield and quality (<xref ref-type="bibr" rid="B11">Djaman et&#xa0;al., 2020</xref>). The results of this study showed that the rainfalls during the growing season of alfalfa in 2022 (54.5 mm) and 2023 (56.0 mm) were low, and increasing the irrigation rate significantly increased alfalfa yield. This is due to that sufficient water and nutrient supply improves alfalfa leaf photosynthesis, thus increasing alfalfa biomass (<xref ref-type="bibr" rid="B15">Ferreira et&#xa0;al., 2015</xref>; <xref ref-type="bibr" rid="B31">Li and Su, 2017</xref>). However, the subsurface drip irrigation can reduce water evaporation, so the irrigation rate W2 is sufficient to meet the water needs of crop growth, and further increasing the irrigation rate has no significant effect on alfalfa yield.</p>
<p>The nutritional quality of forage determines the value in use and value in exchange, because it affects the digestion of forage, the energy and nutrient absorption by livestock, and ultimately the yield and quality of livestock products (<xref ref-type="bibr" rid="B49">Richman et&#xa0;al., 2015</xref>). Crude protein content (CP), relative feed value (RFV), neutral detergent fiber (NDF), and acidic detergent fiber (ADF) are important indicators to measure the nutritional quality of forage (<xref ref-type="bibr" rid="B38">McDonald et&#xa0;al., 2021</xref>). In this study, the change trend of CP content with irrigation rate was similar to that of yield, while the contents of NDF and ADF increased significantly at W3 level compared with those at W1 and W2 levels. This may be due to that over irrigation accelerates crop maturation, reduces CP content, and increases cell wall contents and fiber count (<xref ref-type="bibr" rid="B35">Liu et&#xa0;al., 2021</xref>). Compared with the N0 treatment, applying 150&#x2013;225 kg ha<sup>-1</sup> of N fertilizer significantly improved alfalfa yield, CP content, and RFV. However, further increasing N application rate led to a decrease in alfalfa yield, CP content, and RFV. This may be due to that the soil available N content is low (11.2 mg kg<sup>&#x2212;1</sup>) at the experimental site. N application can increase the chlorophyll content and photosynthetic capacity of leaves, which increases the dry matter yield and the synthesis of amino acids, thus improving the protein content of alfalfa (<xref ref-type="bibr" rid="B16">Gao et&#xa0;al., 2020</xref>). However, excessive N inputs can affect nodulation and N fixation, but can also be counterproductive to crop growth (<xref ref-type="bibr" rid="B67">Xie et&#xa0;al., 2015</xref>; <xref ref-type="bibr" rid="B46">Reinprecht et&#xa0;al., 2020</xref>).</p>
<p>According to recent survey, most farmers in the experimental site applied 450 kg ha<sup>-1</sup> of N to pursue high yield. This adversely affects alfalfa quality, resource utilization, and environmental health (<xref ref-type="bibr" rid="B14">Fan et&#xa0;al., 2016</xref>; <xref ref-type="bibr" rid="B54">Sha et&#xa0;al., 2021</xref>). When assessing the feasibility of agricultural managements such as irrigation and N fertilization, it is important to consider not only their impacts on crop yields, but also their impacts on the environment (<xref ref-type="bibr" rid="B57">Tan et&#xa0;al., 2017</xref>; <xref ref-type="bibr" rid="B71">Zhang et&#xa0;al., 2022</xref>). In general, the irrigation rate of 525 mm combined with the N application rate of 150&#x2013;225 kg N ha<sup>-1</sup> could increase alfalfa yield, quality, and resource use efficiency, while reducing N<sub>2</sub>O emissions. Thus, it is the optimal combination for local alfalfa planting under subsurface drip irrigation.</p>
</sec>
<sec id="s5" sec-type="conclusions">
<label>5</label>
<title>Conclusion</title>
<p>The cumulative N<sub>2</sub>O emissions showed an increasing trend with the increase of irrigation and N application rates. High cumulative N<sub>2</sub>O emissions are an important reason for the low NUE. The irrigation rate of 525 mm and the N application rate of 150&#x2013;225 kg ha<sup>-1</sup> could significantly improve the yield and quality of alfalfa compared with the over irrigation(W3, 675 mm) and over N fertilization(N4, 300 kg ha<sup>-1</sup>) by local farmers. However, further increasing the irrigation and N application rates could not further increase the yield and quality of alfalfa, but caused an increase in N<sub>2</sub>O emissions and a decrease in WP<sub>C</sub> and NUE. This may cause serious resource waste and environmental pollution. However, rainfall and soil texture are different in different arid regions. This may significantly affect the relationship between resource use and greenhouse gas emissions during the growing season of alfalfa. Therefore, it is necessary to clarify the response of resource use efficiency to climate change under different precipitations and soil&#xa0;types in the future, to further optimize irrigation and fertilization strategies.</p>
</sec>
</body>
<back>
<sec id="s6" sec-type="data-availability">
<title>Data availability statement</title>
<p>The original contributions presented in the study are included in the article/<xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary Material</bold>
</xref>. Further inquiries can be directed to the corresponding author.</p>
</sec>
<sec id="s7" sec-type="author-contributions">
<title>Author contributions</title>
<p>HM: Validation, Writing &#x2013; review &amp; editing, Formal analysis, Software, Writing &#x2013; original draft, Conceptualization. QS: Writing &#x2013; review &amp; editing, Funding acquisition, Conceptualization, Supervision. XZ: Data curation, Writing &#x2013; review &amp; editing. PJ: Data curation, Writing &#x2013; review &amp; editing.</p>
</sec>
<sec id="s8" sec-type="funding-information">
<title>Funding</title>
<p>The author(s) declare that financial support was received for the research and/or publication of this article. This research was supported by the Ningxia Hui Autonomous Region Key R&amp;D Program (2022BEG02004).</p>
</sec>
<ack>
<title>Acknowledgments</title>
<p>Thanks to Mr. Li Yulong for his guidance and help in the paper.</p>
</ack>
<sec id="s9" sec-type="COI-statement">
<title>Conflict of interest</title>
<p>The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec id="s10" sec-type="ai-statement">
<title>Generative AI statement</title>
<p>The author(s) declare that no Generative AI was used in the creation of this manuscript.</p>
</sec>
<sec id="s11" sec-type="disclaimer">
<title>Publisher&#x2019;s note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
<sec id="s12" sec-type="supplementary-material">
<title>Supplementary material</title>
<p>The Supplementary Material for this article can be found online at: <ext-link ext-link-type="uri" xlink:href="https://www.frontiersin.org/articles/10.3389/fpls.2025.1598110/full#supplementary-material">https://www.frontiersin.org/articles/10.3389/fpls.2025.1598110/full#supplementary-material</ext-link>
</p>
<supplementary-material xlink:href="SupplementaryFile1.docx" id="SM1" mimetype="application/vnd.openxmlformats-officedocument.wordprocessingml.document"/>
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