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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Plant Sci.</journal-id>
<journal-title>Frontiers in Plant Science</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Plant Sci.</abbrev-journal-title>
<issn pub-type="epub">1664-462X</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.3389/fpls.2023.1105131</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>Fertilizer <sup>15</sup>N balance in a soybean&#x2013;maize&#x2013;maize rotation system based on a 41-year long-term experiment in Northeast China</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Dai</surname>
<given-names>Jian</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="author-notes" rid="fn003">
<sup>&#x2020;</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2107946"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Gui</surname>
<given-names>Hailong</given-names>
</name>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
<xref ref-type="author-notes" rid="fn003">
<sup>&#x2020;</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Shen</surname>
<given-names>Feng</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Liu</surname>
<given-names>Yuying</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Bai</surname>
<given-names>Minsong</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Yang</surname>
<given-names>Jinfeng</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Liu</surname>
<given-names>Houjun</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/851379"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Luo</surname>
<given-names>Peiyu</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="author-notes" rid="fn001">
<sup>*</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1116680"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Han</surname>
<given-names>Xiaori</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="author-notes" rid="fn001">
<sup>*</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1467047"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Siddique</surname>
<given-names>Kadambot H. M.</given-names>
</name>
<xref ref-type="aff" rid="aff4">
<sup>4</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/266236"/>
</contrib>
</contrib-group>
<aff id="aff1">
<sup>1</sup>
<institution>Agricultural Resources and Environment Mobile Station, College of Land and Environment, Shenyang Agricultural University</institution>, <addr-line>Shenyang, Liaoning</addr-line>, <country>China</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>National Engineering Research Center for Efficient Utilization of Soil and Fertilizer Resources/Monitoring &amp; Experimental Station of Corn Nutrition and Fertilization in Northeast Region, Ministry of Agriculture and Rural Affairs</institution>, <addr-line>Shenyang, Liaoning</addr-line>, <country>China</country>
</aff>
<aff id="aff3">
<sup>3</sup>
<institution>Food Science College, Shenyang Agricultural University</institution>, <addr-line>Shenyang, Liaoning</addr-line>, <country>China</country>
</aff>
<aff id="aff4">
<sup>4</sup>
<institution>The UWA Institute of Agriculture, The University of Western Australia</institution>, <addr-line>Perth, WA</addr-line>, <country>Australia</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>Edited by: Patricio Sanda&#xf1;a, Universidad Austral de Chile, Chile</p>
</fn>
<fn fn-type="edited-by">
<p>Reviewed by: Sanjay Singh Rathore, Indian Agricultural Research Institute (ICAR), India; Jinshun Bai, (CAAS), China</p>
</fn>
<fn fn-type="corresp" id="fn001">
<p>*Correspondence: Peiyu Luo, <email xlink:href="mailto:ibtyoufe@syau.edu.cn">ibtyoufe@syau.edu.cn</email>; Xiaori Han, <email xlink:href="mailto:hanxr@syau.edu.cn">hanxr@syau.edu.cn</email>
</p>
</fn>
<fn fn-type="equal" id="fn003">
<p>&#x2020;These authors have contributed equally to this work</p>
</fn>
<fn fn-type="other" id="fn002">
<p>This article was submitted to Plant Nutrition, a section of the journal Frontiers in Plant Science</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>30</day>
<month>01</month>
<year>2023</year>
</pub-date>
<pub-date pub-type="collection">
<year>2023</year>
</pub-date>
<volume>14</volume>
<elocation-id>1105131</elocation-id>
<history>
<date date-type="received">
<day>22</day>
<month>11</month>
<year>2022</year>
</date>
<date date-type="accepted">
<day>18</day>
<month>01</month>
<year>2023</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2023 Dai, Gui, Shen, Liu, Bai, Yang, Liu, Luo, Han and Siddique</copyright-statement>
<copyright-year>2023</copyright-year>
<copyright-holder>Dai, Gui, Shen, Liu, Bai, Yang, Liu, Luo, Han and Siddique</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>Global awareness of the need to enhance crop production and reduce environmental issues associated with nitrogen (N) fertilizer has increased. However, studies on how the N fate changed with manure addition are still limited. To explore efficient fertilization management for an improved grain yield, N recovery efficiency, and reduced N residual in the soil or that unaccounted for, a field 15N micro-plot trial in a soybean&#x2013;maize&#x2013;maize rotation was conducted to evaluate the effect of fertilization regimes on soybean and maize yields and the fertilizer N fate in the plant&#x2013;soil system during 2017&#x2013;2019 within a 41-year experiment in Northeast China. Treatments included chemical N alone (N), N and phosphorus (NP), N, P, and potassium (NPK), and those combined with manure (MN, MNP, and MNPK). Application of manure increased grain yield, on average, by 153% for soybean (2017) and 105% and 222% for maize (2018 and 2019) compared to no manure, with the highest at MNPK. Crop N uptake and that from labeled <sup>15</sup>N-urea also benefited from manure addition, mainly partitioned to grain, and the average <sup>15</sup>N-urea recovery was 28.8% in the soybean season with a reduction in the subsequent maize seasons (12.6%, and 4.1%). Across the three years, the fertilizer <sup>15</sup>N recovery ranged from 31.2&#x2013;63.1% (crop) and 21.9&#x2013;40.5% (0&#x2013;40 cm soil), with 14.6&#x2013;29.9% unaccounted for, including N losses. In the two maize seasons, manure addition significantly increased the residual <sup>15</sup>N recovery in crop attributed to the enhancing <sup>15</sup>N remineralization, and reduced that in soil and unaccounted for compared to single chemical fertilizer, with MNPK performing the best. Therefore, applying N, P, and K fertilizers in the soybean season and NPK combined with manure (13.5&#xa0;t ha<sup>&#x2013;1</sup>) in the maize seasons is a promising fertilization management strategy in Northeast China and similar regions.</p>
</abstract>
<abstract abstract-type="graphical">
<title>Graphical Abstract</title>
<p>
<graphic xlink:href="fpls-14-1105131-g006.tif" position="anchor"/>
</p>
</abstract>
<kwd-group>
<kwd>fertilizer N fate</kwd>
<kwd>long-term experiment</kwd>
<kwd>soybean-maize-maize rotation</kwd>
<kwd>N recovery</kwd>
<kwd>soil residual N</kwd>
<kwd>N losses</kwd>
</kwd-group>
<contract-sponsor id="cn001">Ministry of Science and Technology of the People's Republic of China<named-content content-type="fundref-id">10.13039/501100002855</named-content>
</contract-sponsor>
<contract-sponsor id="cn002">Natural Science Foundation of Liaoning Province<named-content content-type="fundref-id">10.13039/501100005047</named-content>
</contract-sponsor>
<counts>
<fig-count count="5"/>
<table-count count="1"/>
<equation-count count="11"/>
<ref-count count="67"/>
<page-count count="11"/>
<word-count count="6151"/>
</counts>
</article-meta>
</front>
<body>
<sec id="s1" sec-type="intro">
<title>Introduction</title>
<p>Increased fertilizer inputs, especially synthetic N fertilizer is a widely used method to increase crop production (<xref ref-type="bibr" rid="B62">Zhang et&#xa0;al., 2013</xref>; <xref ref-type="bibr" rid="B29">Ladha et&#xa0;al., 2016</xref>; ). However, less than 40% of the applied N was taken up by crops in China, resulting in severe consequences for food production and the environment (<xref ref-type="bibr" rid="B30">Lassaletta et&#xa0;al., 2014</xref>; <xref ref-type="bibr" rid="B36">Liu et&#xa0;al., 2021</xref>). The low N use efficiency resulted from the increased N fertilizer rate and even overuse (<xref ref-type="bibr" rid="B26">Ju et&#xa0;al., 2009</xref>; <xref ref-type="bibr" rid="B21">Hou et&#xa0;al., 2017</xref>; ). As the N rate increased, crop grain yields increased slightly or decreased, but inorganic N residual in the soil increased drastically, with elevated N losses (<xref ref-type="bibr" rid="B5">Dai et&#xa0;al., 2015</xref>). <xref ref-type="bibr" rid="B13">Eickhout et&#xa0;al. (2006)</xref> reported that total reactive N losses worldwide would increase from 1995&#x2013;2030 with the growing intensive agriculture. Therefore, improving fertilization management is pivotal for enhancing crop production and N use efficiency, and reducing N losses.</p>
<p>Integrating manure into fertilizer management has a long history in China, and is an effective strategy for reducing chemical fertilizer use and sustaining agricultural production and soil fertility (<xref ref-type="bibr" rid="B32">Liang et&#xa0;al., 2013</xref>; <xref ref-type="bibr" rid="B66">Zhao et&#xa0;al., 2016</xref>; <xref ref-type="bibr" rid="B1">Cai et&#xa0;al., 2019</xref>; ). For example, an investigation of 153 field experiments revealed that adding manure enhanced crop yields by 8.5&#x2013;14.2 Mg ha<sup>&#x2013;1</sup> (<xref ref-type="bibr" rid="B2">Chen et&#xa0;al., 2014a</xref>) and by 75% for maize on the North China Plain (<xref ref-type="bibr" rid="B59">Yang et&#xa0;al., 2015</xref>). In a similar region, replacing 30% of N fertilizer with manure (cow waste) significantly increased N uptake and N use efficiency compared to single chemical fertilizer (<xref ref-type="bibr" rid="B63">Zhang et&#xa0;al., 2016</xref>). The application of manure can not only improve crop production, but can also increase fertilizer N retention in the soil through immobilization and thus decreased the environmental risk associated with N losses, i.e., NH<sub>3</sub> volatilization, N<sub>2</sub>O emissions, and nitrate leaching (<xref ref-type="bibr" rid="B67">Zhou et&#xa0;al., 2009</xref>; <xref ref-type="bibr" rid="B39">Li et&#xa0;al., 2020</xref>; <xref ref-type="bibr" rid="B33">Li et&#xa0;al., 2021a</xref>). However, as a result of increase in the chemical fertilizers, the using amount of manures has markedly decreased in recent years. Therefore, application of manure combined with inorganic fertilizers is currently recommended and still a challenge in the agricultural production in China.</p>
<p>Manure amendment influenced the fate of fertilizer N in the plant-soil system, either directly by enhancing fertilizer N uptake, or indirectly by changing soil properties such as pH, organic matter etc., which in turn favored N transformation and affected chemical fertilizer N residual in soil and loss (<xref ref-type="bibr" rid="B15">Gai et&#xa0;al., 2018</xref>; <xref ref-type="bibr" rid="B56">Wang et&#xa0;al., 2019</xref>). Residual N in the soil was mainly in the organic form, which could be re-mineralized to supply N for successive crops (<xref ref-type="bibr" rid="B32">Liang et&#xa0;al., 2013</xref>; <xref ref-type="bibr" rid="B18">Guo et&#xa0;al., 2021</xref>; ). In arid Saharan Morocco, a <sup>15</sup>N-tracer field experiment reported a fertilizer <sup>15</sup>N use efficiency of 33.1% in the first wheat season, with a soil residual <sup>15</sup>N recovery of 2.4% in the succeeding season (<xref ref-type="bibr" rid="B23">Ichir et&#xa0;al., 2003</xref>). A meta-analysis determined that the average proportion of soil residual <sup>15</sup>N recovered in the first subsequent crop was 5% (<xref ref-type="bibr" rid="B53">VSN International, 2015</xref>) compared with 6.2&#x2013;7.0% in the following wheat season in Northwest China (<xref ref-type="bibr" rid="B57">Xia et&#xa0;al., 2018</xref>), 2.9% in the second grass season (<xref ref-type="bibr" rid="B45">Rocha et&#xa0;al., 2019</xref>), and 14.5% in the next legume season (<xref ref-type="bibr" rid="B17">Gathumbi et&#xa0;al., 2003</xref>). Variations in the residual N recovery are attributed to climatic conditions, cropping system, soil type, and fertilization management (<xref ref-type="bibr" rid="B11">Dourado-Neto et&#xa0;al., 2010</xref>; <xref ref-type="bibr" rid="B20">He et&#xa0;al., 2020</xref>).</p>
<p>In Northeast China, maize and soybean are the staple cereal cash crops, where maize&#x2013;soybean is the main rotation system. However, the fate of fertilizer N in the plant&#x2013;soil system and recovery of soil residual N in the subsequent crops have not been well quantified, especially in diverse crop rotations with combined chemical fertilizers and manure regimes. In this study, <sup>15</sup>N-labeled micro-plots were established within a 41-year long-term field experiment to (1) quantify the fate of <sup>15</sup>N-urea in the soybean season (<sup>15</sup>N allocation in each organ, residue in soil, and unaccounted <sup>15</sup>N, including N losses); (2) identify the residual effect of fertilizer <sup>15</sup>N on crop N uptake in the two subsequent maize seasons; (3) investigate the balance of fertilizer <sup>15</sup>N in the soil&#x2013;plant system under a soybean&#x2013;maize&#x2013;maize rotation (2017&#x2013;2019), and thus explore the best fertilization management strategy to obtain high grain yields and N use efficiencies with low environmental risk.</p>
</sec>
<sec id="s2" sec-type="materials|methods">
<title>Materials and methods</title>
<sec id="s2_1">
<title>Study site</title>
<p>The 41-year experiment commenced in 1979 at the Long-Term Fertility Experimental Station of Shenyang Agricultural University (40&#xb0;48&#x2032; N, 123&#xb0;33&#x2032; E), Liaoning, China, with a subhumid climate. The average annual temperature from 1979 to 2019 was 8.5&#xb0;C (21.2&#xb0;C from May to September), and annual precipitation was 681&#xa0;mm, with 538&#xa0;mm during the crop growing season. The soil is a Haplic Luvisol (<xref ref-type="bibr" rid="B14">FAO, 1998</xref>), which contained 48% sand, 29% silt, and 23% clay in the 0&#x2013;20 cm soil layer in 1979 with 1.18&#xa0;g cm<sup>&#x2013;3</sup> bulk density, 15.9&#xa0;g kg<sup>&#x2013;1</sup> organic matter, 0.8&#xa0;g kg<sup>&#x2013;1</sup> total N, 105.5 mg kg<sup>&#x2013;1</sup> alkali-hydrolyzable N, 6.5 mg kg<sup>&#x2013;1</sup> Olsen-P, 97.9 mg kg<sup>&#x2013;1</sup> available K, and pH 6.5.</p>
</sec>
<sec id="s2_2">
<title>Experimental design and field management</title>
<sec id="s2_2_1">
<title>Field experiment</title>
<p>The field experiment was implemented with a soybean&#x2013;maize&#x2013;maize rotation, as described by <xref ref-type="bibr" rid="B64">Zhang et&#xa0;al. (2021)</xref>. The six treatments included chemical fertilizer only (N, NP, and NPK) and manure combined with chemical fertilizer (MN, MNP, and MNPK). In the 41-year experiment, soybean received 30&#xa0;kg N ha<sup>&#x2013;1</sup> as urea, 90&#xa0;kg P<sub>2</sub>O<sub>5</sub> ha<sup>&#x2013;1</sup> as triple superphosphate, 90&#xa0;kg K<sub>2</sub>O ha<sup>&#x2013;1</sup> as potassium sulfate, and 13.5&#xa0;t ha<sup>&#x2013;1</sup> organic fertilizer as pig manure in dry weight, while maize received 120&#xa0;kg N ha<sup>&#x2013;1</sup>, 60&#xa0;kg P<sub>2</sub>O<sub>5</sub> ha<sup>&#x2013;1</sup>, 60&#xa0;kg K<sub>2</sub>O ha<sup>&#x2013;1</sup>, and 13.5&#xa0;t ha<sup>&#x2013;1</sup> (dry weight) manure (<xref ref-type="supplementary-material" rid="SM1">
<bold>Table S1</bold>
</xref>). The average concentration of nutrients in pig manure is available in <xref ref-type="bibr" rid="B38">Li et&#xa0;al. (2021b)</xref>. The application of pig manure to soybean crops ceased from 1992 onwards due to decreasing grain yields. The chemical fertilizer and manure were broadcast evenly over the soil before sowing and plowed into the top 20&#xa0;cm of soil using a rotavator.</p>
<p>Soybean (Liaodou15) and maize (Dongdan6531) were sown at 15 &#xd7; 10<sup>4</sup> and 6 &#xd7; 10<sup>4</sup> plants ha<sup>&#x2013;1</sup> in early May and harvested in late September or early October in 10&#xa0;m &#xd7; 16&#xa0;m plots with rows spaced 60&#xa0;cm apart. No supplemental irrigation was provided. Pest and weed control was consistent with local practices.</p>
</sec>
<sec id="s2_2_2">
<title>
<sup>15</sup>N-labeled micro-plots</title>
<p>To assess the fate of fertilizer N in the soybean&#x2013;maize&#x2013;maize rotation, a <sup>15</sup>N-labeled plot study was undertaken over three growing seasons (2017&#x2013;2019). Before soybean sowing in 2017, micro-plots (0.8&#xa0;m &#xd7; 0.6&#xa0;m) were established in triplicate in each plot. The micro-plots comprised a 50&#xa0;cm high polyvinyl-chloride frame, of which 10&#xa0;cm was above the soil surface. Each micro-plot contained eight soybean plants in 2017 and three maize plants in 2018 and 2019. <sup>15</sup>N-labeled urea with 20.2 atom% (Shanghai Chem-Industry Institute) was mixed with P and K into the 15&#xa0;cm of topsoil from each micro-plot and then returned to the corresponding micro-plot. In the two subsequent maize seasons in 2018 and 2019, urea (unlabeled) mixed with P and K and pig manure were applied using the abovementioned procedure. All management practices matched those in the macro-plots. <xref ref-type="supplementary-material" rid="SM1">
<bold>Table S2</bold>
</xref> lists the chemical properties of the top 40&#xa0;cm soil before soybean seeding in 2017.</p>
</sec>
<sec id="s2_2_3">
<title>Sampling and analysis</title>
<p>Plant samples were collected from each micro-plot at harvest in each crop growing season. Soybean plants were separated into aboveground parts and roots, which were cut with a sickle at the stem and root joint. After air-drying, the aboveground parts were threshed, separated into straw (including stems and leaves), pods, and grain, and weighed. Soybean roots were dug out of each micro-plot using a spade and the roots left in the soil were picked out. The root samples were firstly washed with tap water to remove the attached soil and then with distilled water. Subsamples of each organ (roots, straw, pods, and grain) were oven-dried at 90&#xb0;C for 30&#xa0;min and then at 65&#xb0;C for 48&#xa0;h to calculate water content and dry weight. The oven-dried samples (roots, straw, pods, and grain) were ground and passed through a 0.5&#xa0;mm sieve for total N and its <sup>15</sup>N enrichment determination. Similarly, maize was cut at the stem base and partitioned into straw, bracts, cobs, grain, and roots, and weighed after being air-dried. Subsamples were dried, crushed, and sieved for further measurement.</p>
<p>Soil samples were randomly collected in each micro-plot using an auger at 0&#x2013;20 and 20&#x2013;40 cm depths before sowing and between two plants after harvest of soybean and maize (2017&#x2013;2019). Soil samples from the two duplicate soil cores in each micro-plot were mixed and sealed in separate marked plastic bags and stored at 4&#xb0;C for later determination of soil water, mineral N, and <sup>15</sup>N contents. Subsoil samples from the same depth and micro-plot were air-dried, ground, and sieved (equivalent to 0.15&#xa0;mm) for total N and <sup>15</sup>N abundance determination. Soil mineral N (<inline-formula>
<mml:math display="inline" id="im1">
<mml:mrow>
<mml:msubsup>
<mml:mrow>
<mml:mtext>NO</mml:mtext>
</mml:mrow>
<mml:mn>3</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
<mml:mo>&#x2212;</mml:mo>
<mml:mtext>N</mml:mtext>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula>
<mml:math display="inline" id="im2">
<mml:mrow>
<mml:msubsup>
<mml:mrow>
<mml:mtext>NH</mml:mtext>
</mml:mrow>
<mml:mn>4</mml:mn>
<mml:mo>+</mml:mo>
</mml:msubsup>
<mml:mo>&#x2212;</mml:mo>
<mml:mtext>N</mml:mtext>
</mml:mrow>
</mml:math>
</inline-formula>) was extracted using 50 mL of 2&#xa0;mol L<sup>&#x2013;1</sup> KCl (1:5 soil:solution) and measured with a high-resolution digital colorimeter AutoAnalyzer3 (AA3, SEAL Company, Germany); their <sup>15</sup>N abundance was determined using the diffusion method (<xref ref-type="bibr" rid="B28">Keeney and Nelson, 1983</xref>; <xref ref-type="bibr" rid="B46">Sebilo et&#xa0;al., 2004</xref>). Plant and soil total N concentrations and their <sup>15</sup>N enrichment were analyzed using an automated C/N analyzer isotope ratio mass spectrometer (Elementar III-IRMS). Plant and soil samples from a control macro-plot were used to assess natural <sup>15</sup>N abundance.</p>
</sec>
</sec>
<sec id="s2_3">
<title>Calculations</title>
<sec id="s2_3_1">
<title>Crop N Uptake and N Uptake Derived from <sup>15</sup>N-urea</title>
<p>Crop N uptake was calculated as follows:</p>
<disp-formula>
<label>(1)</label>
<mml:math display="block" id="M1">
<mml:mrow>
<mml:mtable>
<mml:mtr>
<mml:mtd>
<mml:mtext>Crop&#xa0;N&#xa0;uptake&#xa0;</mml:mtext>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:msup>
<mml:mrow>
<mml:mtext>kg&#xa0;N&#xa0;ha</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2013;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd>
<mml:mtext>&#xa0;</mml:mtext>
<mml:mo>=</mml:mo>
<mml:mstyle displaystyle="true">
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mtext>N&#xa0;concentration</mml:mtext>
<mml:mo>&#xd7;</mml:mo>
<mml:mtext>dry&#xa0;weight</mml:mtext>
<mml:mo stretchy="false">)</mml:mo>
<mml:mtext>&#xa0;</mml:mtext>
<mml:mo stretchy="false">/</mml:mo>
<mml:mtext>&#xa0;</mml:mtext>
<mml:mn>1000</mml:mn>
</mml:mrow>
</mml:mstyle>
</mml:mtd>
</mml:mtr>
</mml:mtable>
</mml:mrow>
</mml:math>
</disp-formula>
<p>where N concentration (g N kg<sup>&#x2013;1</sup>) refers to that of soybean roots, straw, pods, and grain or maize roots, straw, bracts, cobs, and grain; dry weight is the biomass (kg ha<sup>&#x2013;1</sup>) of each organ, and 1000 is the conversion coefficient.</p>
<p>The percentage of <sup>15</sup>N-urea taken up by soybean or maize (Ndff) was calculated as (<xref ref-type="bibr" rid="B22">Hu et&#xa0;al., 2019</xref>):</p>
<disp-formula>
<label>(2)</label>
<mml:math display="block" id="M2">
<mml:mrow>
<mml:mtext>Ndf</mml:mtext>
<mml:mi>f</mml:mi>
<mml:mtext>&#xa0;</mml:mtext>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mo>%</mml:mo>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mtext>&#xa0;</mml:mtext>
<mml:mo>=</mml:mo>
<mml:mtext>&#xa0;</mml:mtext>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mtext>a</mml:mtext>
<mml:mo>&#x2013;</mml:mo>
<mml:mtext>b</mml:mtext>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mo stretchy="false">/</mml:mo>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mtext>c</mml:mtext>
<mml:mo>&#x2013;</mml:mo>
<mml:mtext>b</mml:mtext>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mo>&#xd7;</mml:mo>
<mml:mn>100</mml:mn>
</mml:mrow>
</mml:math>
</disp-formula>
<p>where a and b are the atom% of <sup>15</sup>N in the plant sample in the <sup>15</sup>N-labeled treatment and control treatment, respectively, and c is the atom% of <sup>15</sup>N in urea (20.2%).</p>
<p>Crop N uptake derived from <sup>15</sup>N-urea during the soybean season and soil residual <sup>15</sup>N in the two subsequent maize seasons (Ndff<sub>plant</sub>) and the fertilizer <sup>15</sup>N recovery rate in plants were calculated according to the following equations (<xref ref-type="bibr" rid="B6">de Oliveira Silva et&#xa0;al., 2017</xref>):</p>
<disp-formula>
<label>(3)</label>
<mml:math display="block" id="M3">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mtext>Ndff</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mtext>plant</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mrow>
<mml:mtext>&#xa0;</mml:mtext>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:msup>
<mml:mrow>
<mml:mtext>kg&#xa0;N&#xa0;ha</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2013;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mtext>&#xa0;</mml:mtext>
<mml:mo>=</mml:mo>
<mml:mstyle displaystyle="true">
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mtext>Nuptake</mml:mtext>
<mml:mo>&#xd7;</mml:mo>
<mml:mtext>plant&#xa0;Ndff</mml:mtext>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:mstyle>
</mml:mrow>
</mml:math>
</disp-formula>
<p>where N uptake (kg N ha<sup>&#x2013;1</sup>) is the total N uptake in soybean roots, straw, pods, and grain or maize roots, straw, bracts, cobs, and grain, and plant Ndff (%) is the percentage of <sup>15</sup>N-urea taken up in each organ.</p>
<disp-formula>
<label>(4)</label>
<mml:math display="block" id="M4">
<mml:mrow>
<mml:mtext>Recovery&#xa0;rate&#xa0;</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:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mn>3</mml:mn>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mo stretchy="false">/</mml:mo>
<mml:mtext>N&#xa0;fertilizer&#xa0;rate&#xa0;</mml:mtext>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:msup>
<mml:mrow>
<mml:mtext>kg&#xa0;N&#xa0;ha</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2013;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mtext>&#xa0;</mml:mtext>
<mml:mo>&#xd7;</mml:mo>
<mml:mtext>&#xa0;</mml:mtext>
<mml:mn>100</mml:mn>
</mml:mrow>
</mml:math>
</disp-formula>
<p>The <sup>15</sup>N harvest index (<sup>15</sup>NHI, %) in the three growing seasons was calculated as the ratio of grain <sup>15</sup>N uptake to crop <sup>15</sup>N uptake:</p>
<disp-formula>
<label>(5)</label>
<mml:math display="block" id="M5">
<mml:mrow>
<mml:msup>
<mml:mtext>&#xa0;</mml:mtext>
<mml:mn>15</mml:mn>
</mml:msup>
<mml:mtext>NHI</mml:mtext>
<mml:mrow>
<mml:mtext>&#xa0;</mml:mtext>
<mml:mo stretchy="false">(</mml:mo>
<mml:mo>%</mml:mo>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mo>=</mml:mo>
<mml:msup>
<mml:mrow>
<mml:mtext>Grain</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mn>15</mml:mn>
</mml:mrow>
</mml:msup>
<mml:mtext>N&#xa0;uptake&#xa0;</mml:mtext>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:msup>
<mml:mrow>
<mml:mtext>kg&#xa0;N&#xa0;ha</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2013;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mo stretchy="false">/</mml:mo>
<mml:mo stretchy="false">(</mml:mo>
<mml:mn>3</mml:mn>
<mml:mo stretchy="false">)</mml:mo>
<mml:mo>&#xd7;</mml:mo>
<mml:mn>100</mml:mn>
</mml:mrow>
</mml:math>
</disp-formula>
</sec>
<sec id="s2_3_2">
<title>Residual <sup>15</sup>N-urea in soil</title>
<p>The percentage of <sup>15</sup>N-urea remaining in soil (Ndff) was calculated as per Eq. (2). The amount of soil total residual N derived from <sup>15</sup>N-urea (Ndff<sub>soil</sub>) and its residual rate in 0-20 and 20-40&#xa0;cm soil layers were calculated as</p>
<disp-formula>
<label>(6)</label>
<mml:math display="block" id="M6">
<mml:mrow>
<mml:mtable>
<mml:mtr>
<mml:mtd>
<mml:msub>
<mml:mrow>
<mml:mtext>Ndff</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mtext>soil&#xa0;</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:msup>
<mml:mrow>
<mml:mtext>kg&#xa0;N&#xa0;ha</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2013;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd>
<mml:mo>=</mml:mo>
<mml:mtext>soil&#xa0;total&#xa0;N&#xa0;concentration&#xa0;</mml:mtext>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:msup>
<mml:mrow>
<mml:mtext>mg&#xa0;N&#xa0;kg</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2013;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mo>&#xd7;</mml:mo>
<mml:mtext>soil&#xa0;depth&#xa0;increment&#xa0;</mml:mtext>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mtext>cm</mml:mtext>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd>
<mml:mo>&#xd7;</mml:mo>
<mml:mtext>soil&#xa0;bulk&#xa0;density&#xa0;</mml:mtext>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:msup>
<mml:mrow>
<mml:mtext>g&#xa0;cm</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2013;</mml:mo>
<mml:mn>3</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mo stretchy="false">/</mml:mo>
<mml:mn>10</mml:mn>
<mml:mo>&#xd7;</mml:mo>
<mml:mtext>soil&#xa0;Ndff&#xa0;</mml:mtext>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mo>%</mml:mo>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:mtd>
</mml:mtr>
</mml:mtable>
</mml:mrow>
</mml:math>
</disp-formula>
<disp-formula>
<label>(7)</label>
<mml:math display="block" id="M7">
<mml:mrow>
<mml:msup>
<mml:mtext>&#xa0;</mml:mtext>
<mml:mrow>
<mml:mn>15</mml:mn>
</mml:mrow>
</mml:msup>
<mml:mtext>N&#xa0;residual&#xa0;rate&#xa0;</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:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mn>6</mml:mn>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mo stretchy="false">/</mml:mo>
<mml:mtext>N&#xa0;fertilizer&#xa0;rate&#xa0;</mml:mtext>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:msup>
<mml:mrow>
<mml:mtext>kg&#xa0;N&#xa0;ha</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2013;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mo>&#xd7;</mml:mo>
<mml:mn>100</mml:mn>
</mml:mrow>
</mml:math>
</disp-formula>
<p>The amount of soil mineral N (Ndff<sub>min</sub>) and organic N (Ndff<sub>org</sub>) derived from <sup>15</sup>N-urea in each soil layer were calculated as:</p>
<disp-formula>
<label>(8)</label>
<mml:math display="block" id="M8">
<mml:mrow>
<mml:mtable>
<mml:mtr>
<mml:mtd>
<mml:msub>
<mml:mrow>
<mml:mtext>Ndff</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mtext>min</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mrow>
<mml:mtext>&#xa0;</mml:mtext>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:msup>
<mml:mrow>
<mml:mtext>kg&#xa0;N&#xa0;ha</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2013;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd>
<mml:mo>=</mml:mo>
<mml:mtext>soil&#xa0;mineral&#xa0;N&#xa0;concentration</mml:mtext>
<mml:mrow>
<mml:mtext>&#xa0;</mml:mtext>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:msup>
<mml:mrow>
<mml:mtext>mg&#xa0;N&#xa0;kg</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2013;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mo>&#xd7;</mml:mo>
<mml:mtext>soil&#xa0;depth&#xa0;increment&#xa0;</mml:mtext>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mtext>cm</mml:mtext>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd>
<mml:mo>&#xd7;</mml:mo>
<mml:mtext>soil&#xa0;bulk&#xa0;density</mml:mtext>
<mml:mrow>
<mml:mtext>&#xa0;</mml:mtext>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:msup>
<mml:mrow>
<mml:mtext>g&#xa0;cm</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2013;</mml:mo>
<mml:mn>3</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mo stretchy="false">/</mml:mo>
<mml:mn>10</mml:mn>
<mml:mo>&#xd7;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mtext>soil&#xa0;Ndff</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mtext>min</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mrow>
<mml:mtext>&#xa0;</mml:mtext>
<mml:mo stretchy="false">(</mml:mo>
<mml:mo>%</mml:mo>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:mtd>
</mml:mtr>
</mml:mtable>
</mml:mrow>
</mml:math>
</disp-formula>
<disp-formula>
<label>(9)</label>
<mml:math display="block" id="M9">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mtext>Ndff</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mtext>org&#xa0;</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:msup>
<mml:mrow>
<mml:mtext>kg&#xa0;N&#xa0;ha</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2013;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mo>=</mml:mo>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mn>6</mml:mn>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mtext>&#xa0;</mml:mtext>
<mml:mo>&#x2013;</mml:mo>
<mml:mtext>&#xa0;</mml:mtext>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mn>8</mml:mn>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
</disp-formula>
</sec>
<sec id="s2_3_3">
<title>Unaccounted <sup>15</sup>N</title>
<p>The unaccounted N derived from <sup>15</sup>N-urea (including fertilizer N losses, i.e., gas emissions, leaching, and to deeper layers) and the corresponding rate were calculated as:</p>
<disp-formula>
<label>(10)</label>
<mml:math display="block" id="M10">
<mml:mrow>
<mml:msup>
<mml:mrow>
<mml:mtext>Unaccounted</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mn>15</mml:mn>
</mml:mrow>
</mml:msup>
<mml:mtext>N&#xa0;</mml:mtext>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:msup>
<mml:mrow>
<mml:mtext>kg&#xa0;N&#xa0;ha</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2013;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mo>=</mml:mo>
<mml:mtext>N&#xa0;fertilizer&#xa0;rate</mml:mtext>
<mml:mrow>
<mml:mtext>&#xa0;</mml:mtext>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:msup>
<mml:mrow>
<mml:mtext>kg&#xa0;N&#xa0;ha</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2013;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mo>&#x2013;</mml:mo>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mn>3</mml:mn>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mo>&#x2013;</mml:mo>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mn>6</mml:mn>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
</disp-formula>
<disp-formula>
<label>(11)</label>
<mml:math display="block" id="M11">
<mml:mrow>
<mml:msup>
<mml:mrow>
<mml:mtext>Unaccounted</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mn>15</mml:mn>
</mml:mrow>
</mml:msup>
<mml:mtext>N&#xa0;rate&#xa0;</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:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mn>10</mml:mn>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mo stretchy="false">/</mml:mo>
<mml:mtext>N&#xa0;fertilizer&#xa0;rate&#xa0;</mml:mtext>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:msup>
<mml:mrow>
<mml:mtext>kg&#xa0;N&#xa0;ha</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2013;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mtext>&#xa0;</mml:mtext>
<mml:mo>&#xd7;</mml:mo>
<mml:mn>100</mml:mn>
</mml:mrow>
</mml:math>
</disp-formula>
</sec>
</sec>
<sec id="s2_4">
<title>Statistical analysis</title>
<p>Statistical analysis was performed using the SAS software package (Version 9.2). A one-way ANOVA was used to test the effect of different fertilization treatments on total N uptake and that derived from <sup>15</sup>N-urea by soybean and maize, <sup>15</sup>N residual in soil, and unaccounted <sup>15</sup>N losses across the three rotation years. Significant differences between treatments were compared using the least significant difference method at the 0.05 probability level.</p>
</sec>
</sec>
<sec id="s3" sec-type="results">
<title>Results</title>
<sec id="s3_1">
<title>Growing conditions</title>
<p>At the experimental site, the annual precipitation was 477, 583, and 691&#xa0;mm in 2017, 2018, and 2019, with 83%, 85%, and 93% (averaged 87%) occurring during the crop growing seasons (<xref ref-type="fig" rid="f1">
<bold>Figure&#xa0;1</bold>
</xref>). The trends in monthly maximum and minimum temperatures were similar across years, with maximum temperatures of 37.5, 38.4, and 36.3&#xb0;C and minimum temperatures of &#x2013;22.3, &#x2013;27.7, and &#x2013;23.1&#xb0;C in 2017, 2018, and 2019, respectively.</p>
<fig id="f1" position="float">
<label>Figure&#xa0;1</label>
<caption>
<p>Monthly precipitation, maximum and minimum temperatures across the soybean&#x2013;maize&#x2013;maize growing seasons (2017&#x2013;2019). Precipitation was measured in the experimental field with a Rain Gauge (adcon). Maximum and minimum temperatures come from the China National Meteorological Administration.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fpls-14-1105131-g001.tif"/>
</fig>
</sec>
<sec id="s3_2">
<title>Soybean and maize grain yield</title>
<p>Soybean and maize grain yields varied between treatments (<xref ref-type="fig" rid="f2">
<bold>Figure&#xa0;2</bold>
</xref>). In the soybean season (2017), the combined chemical fertilizer and manure treatments significantly increased grain yield by 153% on average, relative to chemical fertilizer alone (241% at MN vs N, 103% at MNP vs NP, and 114% at MNPK vs NPK), more so at MNPK (yield being 4544&#xa0;kg ha<sup>&#x2013;1</sup>). The yield trends in the two succeeding maize seasons were similar to soybean, with the highest yields at MNPK (12336 and 13868&#xa0;kg ha<sup>&#x2013;1</sup> in 2018 and 2019, respectively). The MN, MNP, and MNPK treatments had 288%, 19%, and 7% higher maize grain yields than the N, NP, and NPK in 2018, respectively, with corresponding increases of 628%, 26%, and 13% in 2019.</p>
<fig id="f2" position="float">
<label>Figure&#xa0;2</label>
<caption>
<p>Grain yields in different fertilization treatments in the 2017&#x2013;2019 soybean&#x2013;maize&#x2013;maize growing seasons. Bars represent standard errors (n = 3 replicates). Different lowercase letters denote significant differences (<italic>p</italic>&lt; 0.05) among treatments each year according to the LSD test.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fpls-14-1105131-g002.tif"/>
</fig>
</sec>
<sec id="s3_3">
<title>Soybean and maize N uptake and N uptake derived from fertilizer <sup>15</sup>N</title>
<p>The combined chemical fertilizer and manure treatments significantly enhanced soybean and maize N uptake relative to the sole chemical fertilizer treatments (<xref ref-type="fig" rid="f3">
<bold>Figure&#xa0;3</bold>
</xref>). In 2017, soybean total N uptake ranged from 44.4&#x2013;398.5 kg N ha<sup>&#x2013;1</sup>, of which 5.3&#x2013;12.9 kg N ha<sup>&#x2013;1</sup> came from <sup>15</sup>N-urea, with the maximum amounts at MNPK. The ratio of plant N derived from <sup>15</sup>N-urea to total N uptake decreased from 12.0% at N to 3.2% at MNPK. In the two subsequent maize seasons, plant N uptake ranged from 130.1&#x2013;405.1 kg N ha<sup>&#x2013;1</sup> in 2018 and 105.4&#x2013;524.2 kg N ha<sup>&#x2013;1</sup> in 2019, of which 3.3&#x2013;4.3 and 0.8&#x2013;1.7 kg N ha<sup>&#x2013;1</sup> came from soil residual <sup>15</sup>N from the soybean season. Maize N uptake from the soil residual <sup>15</sup>N contributed 1.0&#x2013;2.5% and 0.3&#x2013;0.8% to total N uptake in 2018 and 2019, respectively. As with the soybean season, the MNPK treatment had the highest values, which significantly differed from the other treatments.</p>
<fig id="f3" position="float">
<label>Figure&#xa0;3</label>
<caption>
<p>Plant N uptake and N uptake derived from <sup>15</sup>N fertilizer across the soybean&#x2013;maize&#x2013;maize rotation in 2017 <bold>(A)</bold>, 2018 <bold>(B)</bold>, and 2019 <bold>(C)</bold>. Bars represent standard errors (n = 3 replicates). Different lowercase letters indicate significant differences (<italic>p</italic>&lt; 0.05) among treatments in each year according to the LSD test.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fpls-14-1105131-g003.tif"/>
</fig>
<p>The distribution of <sup>15</sup>N uptake in plant organs among treatments followed similar trends each season (<xref ref-type="fig" rid="f4">
<bold>Figure&#xa0;4</bold>
</xref>). In the soybean season, <sup>15</sup>N uptake was partitioned mainly to grain, with the highest at MNPK (9.3&#xa0;kg N ha<sup>&#x2013;1</sup>), and <sup>15</sup>NHI ranged from 66.1&#x2013;75.2% across all treatments (<xref ref-type="fig" rid="f4">
<bold>Figure&#xa0;4A</bold>
</xref>). The combined chemical fertilizer and manure treatments significantly increased <sup>15</sup>N uptake in grain by 104.2% on average, with no significant effect on <sup>15</sup>NHI, relative to the chemical fertilizer only treatments. The distribution of <sup>15</sup>N-urea in pods, straw, and roots accounted for 13.2%, 10.5%, and 4.6% of the total <sup>15</sup>N uptake on average, with no significant differences between treatments. In the first subsequent maize season (2018), the NPK and MNPK recovered 1.88 and 1.86&#xa0;kg ha<sup>&#x2013;1</sup> soil residual <sup>15</sup>N from the soybean season for distribution to grain, with <sup>15</sup>NHI of 46.3% and 43.0%, respectively. The ratios of <sup>15</sup>N uptake in cobs, bracts, straw, and roots to total uptake were 13.0%, 2.3%, 34.8%, and 9.7%, respectively. In the second subsequent maize season (2019), the recovery of soil residual <sup>15</sup>N declined but followed a similar trend to 2018. The average <sup>15</sup>NHI was 46.6%, with ratios <sup>15</sup>N uptake in cobs, bracts, straw, and roots to total uptake of 3.9%, 4.1%, 37.2%, and 8.3%, respectively.</p>
<fig id="f4" position="float">
<label>Figure&#xa0;4</label>
<caption>
<p>Allocation of fertilizer <sup>15</sup>N in plant organs of soybean and maize and <sup>15</sup>N harvest index (<sup>15</sup>NHI) in 2017 <bold>(A)</bold>, 2018 <bold>(B)</bold>, and 2019 <bold>(C)</bold>. Different lowercase and uppercase letters indicate significant differences (<italic>p</italic>&lt; 0.05) in <sup>15</sup>N uptake and <sup>15</sup>NHI, respectively, among treatments each year according to the LSD test.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fpls-14-1105131-g004.tif"/>
</fig>
</sec>
<sec id="s3_4">
<title>Fertilizer <sup>15</sup>N residual in soil</title>
<p>Of the 30&#xa0;kg N ha<sup>&#x2013;1 15</sup>N-urea applied in the soybean season, 13.4&#x2013;20.0 kg N ha<sup>&#x2013;1</sup> remained in the 0&#x2013;40 cm soil layer at harvest, with 83.2&#x2013;91.8% in the top 20&#xa0;cm (<xref ref-type="fig" rid="f5">
<bold>Figure&#xa0;5A</bold>
</xref>). Chemical fertilizer alone resulted in more <sup>15</sup>N residual in the top 40&#xa0;cm soil with no significant difference compared to treatments with manure. The residual <sup>15</sup>N-urea was present mainly as organic N, accounting for 58.6% of the added <sup>15</sup>N-urea in the chemical fertilizer only treatments and 45.4% in the chemical fertilizer combined with manure treatments, compared with 4.9% and 3.0% for mineral N, respectively. At maize harvest in the first subsequent year, the top 40&#xa0;cm soil contained 8.8&#x2013;13.6 kg N ha<sup>&#x2013;1</sup> derived from <sup>15</sup>N-urea, with 69.1&#x2013;76.9% in the 0&#x2013;20 cm soil (<xref ref-type="fig" rid="f5">
<bold>Figure&#xa0;5B</bold>
</xref>). Similarly, 31.6% and 41.2% of the preceding applied <sup>15</sup>N fertilizer remained in organic form in the 0&#x2013;40 cm soil profile with and without manure, respectively, compared with 0.5% and 0.6% for mineral N. In the second succeeding maize year, the top 40&#xa0;cm soil contained 6.7&#x2013;12.2 kg N ha<sup>&#x2013;1</sup> derived from <sup>15</sup>N-urea, with a significant decrease with manure application (<xref ref-type="fig" rid="f5">
<bold>Figure&#xa0;5C</bold>
</xref>), with 74.3&#x2013;91.9% distributed in the top 20&#xa0;cm layer. The ratios of organic N to applied <sup>15</sup>N-urea were 25.2% and 36.7% with and without manure, compared with 0.2% and 0.2% for mineral N.</p>
<fig id="f5" position="float">
<label>Figure&#xa0;5</label>
<caption>
<p>Residual fertilizer <sup>15</sup>N as total soil N and mineral N in the 0&#x2013;40 cm soil layer at soybean and maize harvest in 2017 <bold>(A)</bold>, 2018 <bold>(B)</bold>, and 2019 <bold>(C)</bold>. Different lowercase letters indicate significant differences (<italic>p</italic>&lt; 0.05) in total soil N (red letters) and mineral N (blue letters) among treatments each year in the 0&#x2013;20 cm and 20&#x2013;40 cm soil layers according to the LSD test.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fpls-14-1105131-g005.tif"/>
</fig>
</sec>
<sec id="s3_5">
<title>Total recovery of fertilizer <sup>15</sup>N and balance in soybean&#x2013;maize&#x2013;maize system</title>
<p>The chemical fertilizer combined with manure treatments significantly increased soybean N uptake from applied <sup>15</sup>N-urea by 94.6% compared with the chemical fertilizer only treatments (<xref ref-type="table" rid="T1">
<bold>Table&#xa0;1</bold>
</xref>). In the soybean season, the fertilizer <sup>15</sup>N recovery was 28.8% on average. In the two succeeding maize seasons, 3.3&#x2013;4.3 kg N ha<sup>&#x2013;1</sup> and 0.8&#x2013;1.7 kg N ha<sup>&#x2013;1</sup> of the soil residual <sup>15</sup>N from the soybean season was recovered, accounting for 10.9&#x2013;14.4% (12.6% average) and 2.6&#x2013;5.8% (4.1% average) of theapplied <sup>15</sup>N-urea. Across the soybean&#x2013;maize&#x2013;maize rotation system, 31.2&#x2013;63.1% of the initial applied fertilizer <sup>15</sup>N was recovered, with 21.9&#x2013;40.5% remaining in the 0&#x2013;40 cm soil and 20.2&#x2013;31.3% in the top 20&#xa0;cm soil. During the 3-year rotation, 14.6&#x2013;29.9% of the applied <sup>15</sup>N-urea was unaccounted for (including <sup>15</sup>N losses), which decreased by 26.9% with manure addition. The highest recovery rate (63.1%) and lowest residual (22.3%) and unaccounted (14.6%) rates were found at MNPK treatment.</p>
<table-wrap id="T1" position="float">
<label>Table&#xa0;1</label>
<caption>
<p>Uptake of applied <sup>15</sup>N fertilizer, residual <sup>15</sup>N in soil, and unaccounted <sup>15</sup>N in the 2017 soybean, 2018 maize, and 2019 maize seasons in a 3-year rotation in Northeast China.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" rowspan="2" align="left">Treatment</th>
<th valign="middle" colspan="4" align="center">Crop <sup>15</sup>N uptake (kg N ha<sup>&#x2013;1</sup>)</th>
<th valign="middle" colspan="3" align="center">Soil residual <sup>15</sup>N after 3 years (kg N ha<sup>&#x2013;1</sup>)</th>
<th valign="middle" rowspan="2" align="center">Unaccounted <sup>15</sup>N in the system<break/>(kg N ha<sup>&#x2013;1</sup>)</th>
</tr>
<tr>
<th valign="middle" align="center">Soybean<break/>2017</th>
<th valign="middle" align="center">Maize<break/>2018</th>
<th valign="middle" align="center">Maize<break/>2019</th>
<th valign="middle" align="center">Total<break/>2017-2019</th>
<th valign="middle" align="center">0&#x2013;20 cm</th>
<th valign="middle" align="center">20&#x2013;40 cm</th>
<th valign="middle" align="center">0&#x2013;40 cm</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="bottom" align="left">N</td>
<td valign="middle" align="center">5.3 &#xb1; 0.7b</td>
<td valign="middle" align="center">3.3 &#xb1; 0.3c</td>
<td valign="bottom" align="center">0.8 &#xb1; 0.01e</td>
<td valign="middle" align="center">9.4 &#xb1; 0.7d</td>
<td valign="middle" align="center">9.4 &#xb1; 0.3a</td>
<td valign="middle" align="center">2.8 &#xb1; 0.09a</td>
<td valign="middle" align="center">12.2 &#xb1; 0.2a</td>
<td valign="middle" align="center">8.5 &#xb1; 0.9a</td>
</tr>
<tr>
<td valign="bottom" align="left">NP</td>
<td valign="middle" align="center">7.2 &#xb1; 0.5b</td>
<td valign="middle" align="center">4.0 &#xb1; 0.1ab</td>
<td valign="bottom" align="center">1.0 &#xb1; 0.06de</td>
<td valign="middle" align="center">12.2 &#xb1; 0.2c</td>
<td valign="middle" align="center">8.4 &#xb1; 0.4ab</td>
<td valign="middle" align="center">2.2 &#xb1; 0.1b</td>
<td valign="middle" align="center">10.6 &#xb1; 0.5b</td>
<td valign="middle" align="center">7.1 &#xb1; 0.5ab</td>
</tr>
<tr>
<td valign="bottom" align="left">NPK</td>
<td valign="middle" align="center">5.4 &#xb1; 0.5b</td>
<td valign="middle" align="center">4.1 &#xb1; 0.1ab</td>
<td valign="bottom" align="center">1.1 &#xb1; 0.07cd</td>
<td valign="middle" align="center">10.6 &#xb1; 0.4cd</td>
<td valign="middle" align="center">7.7 &#xb1; 0.2b</td>
<td valign="middle" align="center">2.7 &#xb1; 0.2ab</td>
<td valign="middle" align="center">10.4 &#xb1; 0.3bc</td>
<td valign="middle" align="center">9.0 &#xb1; 0.6a</td>
</tr>
<tr>
<td valign="bottom" align="left">MN</td>
<td valign="middle" align="center">10.6 &#xb1; 1.0a</td>
<td valign="middle" align="center">3.6 &#xb1; 0.1bc</td>
<td valign="bottom" align="center">1.3 &#xb1; 0.04bc</td>
<td valign="middle" align="center">15.5 &#xb1; 1.0b</td>
<td valign="middle" align="center">7.9 &#xb1; 0.2b</td>
<td valign="middle" align="center">1.7 &#xb1; 0.1c</td>
<td valign="middle" align="center">9.6 &#xb1; 0.2c</td>
<td valign="middle" align="center">4.9 &#xb1; 0.9bc</td>
</tr>
<tr>
<td valign="bottom" align="left">MNP</td>
<td valign="middle" align="center">10.5 &#xb1; 1.2a</td>
<td valign="middle" align="center">3.5 &#xb1; 0.07bc</td>
<td valign="bottom" align="center">1.4 &#xb1; 0.11b</td>
<td valign="middle" align="center">15.4 &#xb1; 1.1b</td>
<td valign="middle" align="center">6.1 &#xb1; 0.1c</td>
<td valign="middle" align="center">0.5 &#xb1; 0.1d</td>
<td valign="middle" align="center">6.6 &#xb1; 0.1d</td>
<td valign="middle" align="center">8.0 &#xb1; 1.2a</td>
</tr>
<tr>
<td valign="bottom" align="left">MNPK</td>
<td valign="middle" align="center">12.9 &#xb1; 0.4a</td>
<td valign="middle" align="center">4.3 &#xb1; 0.01a</td>
<td valign="bottom" align="center">1.7 &#xb1; 0.06a</td>
<td valign="middle" align="center">18.9 &#xb1; 0.5a</td>
<td valign="middle" align="center">6.1 &#xb1; 0.4c</td>
<td valign="middle" align="center">0.5 &#xb1; 0.1d</td>
<td valign="middle" align="center">6.7 &#xb1; 0.3d</td>
<td valign="middle" align="center">4.4 &#xb1; 0.3c</td>
</tr>
<tr>
<th valign="middle" colspan="9" align="left">Ratio to fertilizer N application rate (%)</th>
</tr>
<tr>
<td valign="bottom" align="left">N</td>
<td valign="middle" align="center">17.7 &#xb1; 2.5b</td>
<td valign="middle" align="center">10.9 &#xb1; 1.0c</td>
<td valign="middle" align="center">2.6 &#xb1; 0.04e</td>
<td valign="middle" align="center">31.2 &#xb1; 2.5d</td>
<td valign="middle" align="center">31.3 &#xb1; 1.0a</td>
<td valign="middle" align="center">9.2 &#xb1; 0.3a</td>
<td valign="middle" align="center">40.5 &#xb1; 0.9a</td>
<td valign="middle" align="center">28.3 &#xb1; 3.1a</td>
</tr>
<tr>
<td valign="bottom" align="left">NP</td>
<td valign="middle" align="center">24.1 &#xb1; 1.7b</td>
<td valign="middle" align="center">13.3 &#xb1; 0.6ab</td>
<td valign="middle" align="center">3.3 &#xb1; 0.2de</td>
<td valign="middle" align="center">40.7 &#xb1; 0.9c</td>
<td valign="middle" align="center">28.1 &#xb1; 1.5ab</td>
<td valign="middle" align="center">7.4 &#xb1; 0.3a</td>
<td valign="middle" align="center">35.5 &#xb1; 1.7b</td>
<td valign="middle" align="center">23.8 &#xb1; 1.9ab</td>
</tr>
<tr>
<td valign="bottom" align="left">NPK</td>
<td valign="middle" align="center">18.0 &#xb1; 1.7b</td>
<td valign="middle" align="center">13.6 &#xb1; 0.5ab</td>
<td valign="middle" align="center">3.8 &#xb1; 0.2cd</td>
<td valign="middle" align="center">35.4 &#xb1; 1.3cd</td>
<td valign="middle" align="center">25.8 &#xb1; 0.6b</td>
<td valign="middle" align="center">8.9 &#xb1; 0.8a</td>
<td valign="middle" align="center">34.7 &#xb1; 1.1bc</td>
<td valign="middle" align="center">29.9 &#xb1; 2.2a</td>
</tr>
<tr>
<td valign="bottom" align="left">MN</td>
<td valign="middle" align="center">35.5 &#xb1; 3.6a</td>
<td valign="middle" align="center">11.9 &#xb1; 0.5bc</td>
<td valign="middle" align="center">4.3 &#xb1; 0.1bc</td>
<td valign="middle" align="center">51.7 &#xb1; 3.4b</td>
<td valign="middle" align="center">26.3 &#xb1; 0.7b</td>
<td valign="middle" align="center">5.7 &#xb1; 0.3b</td>
<td valign="middle" align="center">31.9 &#xb1; 0.6c</td>
<td valign="middle" align="center">16.4 &#xb1; 3.2bc</td>
</tr>
<tr>
<td valign="bottom" align="left">MNP</td>
<td valign="middle" align="center">34.9 &#xb1; 4.0a</td>
<td valign="middle" align="center">11.6 &#xb1; 0.2bc</td>
<td valign="middle" align="center">4.8 &#xb1; 0.3b</td>
<td valign="middle" align="center">51.3 &#xb1; 3.7b</td>
<td valign="middle" align="center">20.2 &#xb1; 0.4c</td>
<td valign="middle" align="center">1.8 &#xb1; 0.5c</td>
<td valign="middle" align="center">21.9 &#xb1; 0.4d</td>
<td valign="middle" align="center">26.8 &#xb1; 4.0a</td>
</tr>
<tr>
<td valign="bottom" align="left">MNPK</td>
<td valign="middle" align="center">42.9 &#xb1; 1.4a</td>
<td valign="middle" align="center">14.4 &#xb1; 0.05a</td>
<td valign="middle" align="center">5.8 &#xb1; 0.2a</td>
<td valign="middle" align="center">63.1 &#xb1; 1.6a</td>
<td valign="middle" align="center">20.5 &#xb1; 1.4c</td>
<td valign="middle" align="center">1.8 &#xb1; 0.3c</td>
<td valign="middle" align="center">22.3 &#xb1; 1.1d</td>
<td valign="middle" align="center">14.6 &#xb1; 1.0c</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>N: chemical N fertilizer; NP: chemical N and P fertilizer; NPK: chemical N, P, and K fertilizer; MN: chemical N fertilizer combined with manure; MNP: chemical N and P fertilizer combined with manure; MNPK: chemical N, P, and K fertilizer combined with manure. Values are means &#xb1; standard error (n = 3 replicates). Different lowercase letters in each column indicate significant differences (p&lt; 0.05) in fertilizer <sup>15</sup>N uptake, residual <sup>15</sup>N in soil, and unaccounted <sup>15</sup>N among treatments in the soybean&#x2013;maize&#x2013;maize rotation according to the LSD test.</p>
</fn>
</table-wrap-foot>
</table-wrap>
</sec>
</sec>
<sec id="s4" sec-type="discussion">
<title>Discussion</title>
<sec id="s4_1">
<title>Grain yield and crop N uptake</title>
<p>The combined application of chemical and organic fertilizers increased crop yield compared to chemical fertilizer alone (<xref ref-type="fig" rid="f2">
<bold>Figure&#xa0;2</bold>
</xref>), as reported elsewhere (<xref ref-type="bibr" rid="B4">Chivenge et&#xa0;al., 2011</xref>; <xref ref-type="bibr" rid="B10">Doan et&#xa0;al., 2015</xref>; <xref ref-type="bibr" rid="B65">Zhang et&#xa0;al., 2018</xref>). In our study, grain yields significantly increased at treatments with manure in the soybean season, despite not being applied since 1992, which could be due to the increased soil organic matter and nutrient availability (<xref ref-type="supplementary-material" rid="SM1">
<bold>Table S2</bold>
</xref>). Similarly, a <sup>15</sup>N study in Northwest China reported that soils supplied with MNPK had higher wheat grain yields than those supplied with NPK for the same amount of N applied (<xref ref-type="bibr" rid="B32">Liang et&#xa0;al., 2013</xref>), as did another study in the Tai Lake region (<xref ref-type="bibr" rid="B42">Pan et&#xa0;al., 2009</xref>). In maize seasons, grain yields were more responsive to chemical fertilizer plus manure than chemical fertilizer alone with reduced difference between manure treatments due to the extra nutrient addition. Besides, after long-term fertilization with chemical fertilizer alone, the soil had lower buffering capacity of nutrients and water conservation and supply than that with manure application (<xref ref-type="supplementary-material" rid="SM1">
<bold>Table S2</bold>
</xref>) (<xref ref-type="bibr" rid="B7">Diacono and Montemurro, 2010</xref>; <xref ref-type="bibr" rid="B40">Oldfield et&#xa0;al., 2019</xref>). However, another study reported no significant effect on maize yield for the same N rate, replacing 50% synthetic N fertilizer with manure in Northeast China (<xref ref-type="bibr" rid="B3">Chen et&#xa0;al., 2014b</xref>), and wheat yields even decreased by 14&#x2013;20% in North China Plain (<xref ref-type="bibr" rid="B51">Sun et&#xa0;al., 2013</xref>).</p>
<p>Long-term addition with chemical fertilizer and manure benefited soybean and maize total N uptake and that derived from <sup>15</sup>N-urea, particularly at MNPK (<xref ref-type="fig" rid="f3">
<bold>Figure&#xa0;3</bold>
</xref>), but did not alter its proportional distribution in plant organs. Plant N uptake from <sup>15</sup>N fertilizer decreased in the two successive maize seasons, and totally accounted for 31.2&#x2013;63.1% of the applied N in 2017, indicating that most of the <sup>15</sup>N-urea remained in the soil or was lost. Previous studies reported comparable results (<xref ref-type="bibr" rid="B55">Wang et&#xa0;al., 2016a</xref>; <xref ref-type="bibr" rid="B34">Li et&#xa0;al., 2018</xref>; ). In contrast, the MNPK treatment had lower <sup>15</sup>NHI than the NPK treatment due to the dilution effect, as the significant increase in total <sup>15</sup>N uptake with manure decreased the ratio of N distributed in grain.</p>
</sec>
<sec id="s4_2">
<title>
<sup>15</sup>N recovery efficiency in the soybean season</title>
<p>Co-application with manure significantly increased fertilizer <sup>15</sup>N recovery by 94.6% compared with chemical fertilizer alone in the first soybean season, attributed to the enhancement in soil organic matter (22.4&#xa0;g kg<sup>&#x2013;1</sup> with manure and 17.2&#xa0;g kg<sup>&#x2013;1</sup> with chemical fertilizer) (<xref ref-type="supplementary-material" rid="SM1">
<bold>Table S2</bold>
</xref>), similar to previous studies (<xref ref-type="bibr" rid="B31">Liang et&#xa0;al., 2019</xref>; <xref ref-type="bibr" rid="B44">Quan et&#xa0;al., 2021</xref>). However, less than 50% of the <sup>15</sup>N-urea was recovered in plant, with the highest at MNPK (42.9%). Similarly, another study searching numerous papers with <sup>15</sup>N labeled fertilizer reported <sup>15</sup>N recovery rates of 41% for maize, 32% for rice, and 37% for crops with small grains (<xref ref-type="bibr" rid="B60">Yan et&#xa0;al., 2019</xref>). <xref ref-type="bibr" rid="B45">Rocha et&#xa0;al. (2019)</xref> also reported that the seasonal <sup>15</sup>N recovery for maize was 34%, with 46% residual in soil in the maize&#x2013;pasture rotation system. It indicated that large amount of fertilizer N was residual in soil, a crucial N source for subsequent crops (<xref ref-type="bibr" rid="B58">Yang et&#xa0;al., 2011</xref>; <xref ref-type="bibr" rid="B18">Guo et&#xa0;al., 2021</xref>; ). Therefore, it is important to not only consider seasonal N fertilizer efficiency but also the recovery of soil residual N derived from fertilizer in succeeding seasons.</p>
</sec>
<sec id="s4_3">
<title>Fertilizer <sup>15</sup>N residual in the soil</title>
<p>For crop N uptake, 56&#x2013;64% was derived from soil, with some converted from residual fertilizer N, biotic fixation, and N deposition (<xref ref-type="bibr" rid="B16">Gardner and Drinkwater, 2009</xref>; <xref ref-type="bibr" rid="B11">Dourado-Neto et&#xa0;al., 2010</xref>; ). Due to the overuse of N fertilizer in China, residual fertilizer N could be the largest contributor to the soil N pool (<xref ref-type="bibr" rid="B61">Zhang et&#xa0;al., 2015</xref>). At soybean harvest in 2017, 44.7% (MNP) to 66.7% (N) of the applied <sup>15</sup>N-urea remained in the 0&#x2013;40 cm soil layer (<xref ref-type="fig" rid="f5">
<bold>Figure&#xa0;5A</bold>
</xref>), comparable to irrigated (45&#x2013;60%) and rainfed (49.8%) maize studies in China (<xref ref-type="bibr" rid="B58">Yang et&#xa0;al., 2011</xref>; <xref ref-type="bibr" rid="B54">Wang et&#xa0;al., 2016b</xref>; ). While, <xref ref-type="bibr" rid="B18">Guo et&#xa0;al. (2021)</xref> reported a lower fertilizer N residual rate (26.1&#x2013;32.1%) due to the higher N use efficiency of maize (40&#x2013;50%), and 30% in <xref ref-type="bibr" rid="B48">Shi et&#xa0;al. (2012)</xref> at an N rate of 210&#xa0;kg N ha<sup>&#x2013;1</sup> with large N losses. In our study, the residual fertilizer <sup>15</sup>N remained mainly in the top 20&#xa0;cm soil though frequent rainfall occurred during the soybean and maize growing seasons. It might be attributed to the microbial immobilization and some adsorption of mineral N forms (presumably <inline-formula>
<mml:math display="inline" id="im4">
<mml:mrow>
<mml:msubsup>
<mml:mrow>
<mml:mtext>NH</mml:mtext>
</mml:mrow>
<mml:mn>4</mml:mn>
<mml:mo>+</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula>) in exchangeable sites of the topsoil, in line with other studies (<xref ref-type="bibr" rid="B35">Liu et&#xa0;al., 2015</xref>; <xref ref-type="bibr" rid="B27">Karwat et&#xa0;al., 2017</xref>; <xref ref-type="bibr" rid="B22">Hu et&#xa0;al., 2019</xref>; ). Inversely, higher fertilizer <sup>15</sup>N accumulated in the 20&#x2013;40 cm soil layer in North Central China, indicating that more N leaching occurred than in our study (<xref ref-type="bibr" rid="B43">Quan et&#xa0;al., 2020</xref>). In the second maize season in 2019, the 20&#x2013;40 cm soil had more mineral N than the top 20&#xa0;cm, attributed to the high precipitation in August (378.6&#xa0;mm), which might have increased mineral N leaching. Like <xref ref-type="bibr" rid="B33">Li et&#xa0;al. (2021a)</xref>, the combined use of manure and chemical fertilizer reduced the soil mineral N amount, potentially decreasing N leaching. Thus, fertilizer type, application method, soil properties, and climate influenced fertilizer N residual in soil. After three years, 21.9&#x2013;40.5% of the labeled <sup>15</sup>N fertilizer remained in the 0&#x2013;40 cm soil depth, with the lower proportions at manure treatments, and was primarily in organic form, consistent with earlier studies (<xref ref-type="bibr" rid="B50">Stevens et&#xa0;al., 2005</xref>; <xref ref-type="bibr" rid="B37">Li et&#xa0;al., 2015</xref>; <xref ref-type="bibr" rid="B52">Van Meter et&#xa0;al., 2016</xref>). Subsequent crops can use the organic residual N through remineralization.</p>
</sec>
<sec id="s4_4">
<title>Residual <sup>15</sup>N recovery by the succeeding maize crops</title>
<p>Similar to other studies (<xref ref-type="bibr" rid="B49">Smith and Chalk, 2018</xref>; <xref ref-type="bibr" rid="B60">Yan et&#xa0;al., 2019</xref>), there was an incremental reduction in the recovery of soil residual <sup>15</sup>N by successive crops. In the two maize seasons (2018 and 2019), 10.9&#x2013;14.4% and 2.6&#x2013;5.8% of the total applied <sup>15</sup>N-urea was recovered, with the highest at MNPK. The reason is that the high soil fertility and improved physical and biological properties due to the long-term fertilization with chemical and organic fertilizers enhanced the release of soil residual organic <sup>15</sup>N. A 60-year study of <sup>15</sup>N tracer reported a soil residual <sup>15</sup>N recovery of 5.4 &#xb1; 4.5% in the first subsequent season and&lt;3% with impairing rate in the second or more successive seasons (<xref ref-type="bibr" rid="B49">Smith and Chalk, 2018</xref>). It indicated that the residual fertilizer N in organic form could remain in soil for a long time, which was gradually released and used by subsequent crops, with only 13&#xa0;kg N ha<sup>&#x2013;1</sup> mineralized over 28 years (<xref ref-type="bibr" rid="B47">Sebilo et&#xa0;al., 2013</xref>). Exceptions to the above results were attributed to high N fertilizer rates and soil N residues, resulting in high N recoveries in the following cropping seasons (<xref ref-type="bibr" rid="B9">Ditsch et&#xa0;al., 1993</xref>; <xref ref-type="bibr" rid="B25">Ju et&#xa0;al., 2007</xref>; <xref ref-type="bibr" rid="B18">Guo et&#xa0;al., 2021</xref>; ). Across the three-year rotation, the MNPK treatment had the highest (63.1%) fertilizer N recovery, which could be because it had the highest <sup>15</sup>N recovery in the first soybean season, and the manure stimulated microbial activity, enhancing <sup>15</sup>N remineralization from the residual organic N (<xref ref-type="bibr" rid="B12">Edmeades, 2003</xref>; <xref ref-type="bibr" rid="B8">Ding et&#xa0;al., 2017</xref>; ) and thus increasing crop <sup>15</sup>N uptake in the two maize seasons. Therefore, fertilization with manure plays a vital role in promoting fertilizer N recovery efficiency, most likely by improving soil fertility status.</p>
</sec>
<sec id="s4_5">
<title>Unaccounted <sup>15</sup>N during the three-year rotation</title>
<p>During the three-year rotation, 14.6&#x2013;29.9% of the applied <sup>15</sup>N-urea was unaccounted for, which might be related to processes of N removal to the deep soil layer and N losses, including gaseous emissions and leaching. <xref ref-type="bibr" rid="B18">Guo et&#xa0;al. (2021)</xref> reported that the proportion of unaccounted <sup>15</sup>N fertilizer was 21.8&#x2013;27.4%, mainly associated with N losses by volatilization, denitrification, and leaching as the soil residual N was monitored to 160&#xa0;cm depth. Another study in dryland Northern China showed that 23% of total N losses came from ammonia volatilization (<xref ref-type="bibr" rid="B24">Ju, 2014</xref>) due to the high pH of the calcareous soil. In our study, ammonium ions were the main form in the soil, not free ammonia, with a pH below 7 (<xref ref-type="supplementary-material" rid="SM1">
<bold>Table S2</bold>
</xref>) (<xref ref-type="bibr" rid="B41">Overrein and Moe, 1967</xref>; <xref ref-type="bibr" rid="B19">Hayashi et&#xa0;al., 2011</xref>; ), thus ammonia volatilization could not be the dominant unaccounted <sup>15</sup>N loss. Additionally, over 80% of the annual precipitation occurred during crop growing seasons in our study (<xref ref-type="fig" rid="f1">
<bold>Figure&#xa0;1</bold>
</xref>), which would result in more N losses by leaching. A global study on maize cropping systems consistenly reported 28% of unaccounted <sup>15</sup>N under conventional management, with N rates ranging from 100&#x2013;300 kg N ha<sup>&#x2013;1</sup> (<xref ref-type="bibr" rid="B44">Quan et&#xa0;al., 2021</xref>), whilea higher proportion of 37% was revealed in a meta-analysis with a larger range of N rates (average 114&#xa0;kg N ha<sup>&#x2013;1</sup>) (<xref ref-type="bibr" rid="B16">Gardner and Drinkwater, 2009</xref>). Application of manuredecreased the unaccounted <sup>15</sup>N by 26.9% compared to the chemical fertilizer only treatments, mainly attributed to the long-term fertilization with manure plus inorganic fertilizer increasing soil C content, enhancing N immobilization and retaining organic N (<xref ref-type="bibr" rid="B56">Wang et&#xa0;al., 2019</xref>). In addition, the lower unaccounted <sup>15</sup>N with manure was consistent with the higher total N recovery observed across the three years. Likewise, compost and straw application decreased soil mineral N contents, even at 80&#x2013;100 cm depth, diminishing the risk of N leaching (<xref ref-type="bibr" rid="B63">Zhang et&#xa0;al., 2016</xref>). Therefore, raising the awareness of the benefits of manure application is crucial for increasing production and decreasing fertilizer N losses and thus environmental risks.</p>
</sec>
</sec>
<sec id="s5" sec-type="conclusion">
<title>Conclusion</title>
<p>Our results indicated that the addition of manure increased soybean and maize grain yield and benefited crop N uptake and that from labeled <sup>15</sup>N-urea, which partitioned mainly to grain. On average, <sup>15</sup>N-urea recovery was 28.8% in the soybean season and 12.6% and 4.1% in the two succeeding maize seasons. Across the three years, total fertilizer <sup>15</sup>N recovery in the crop and 0&#x2013;40 cm soil ranged from 31.2&#x2013;63.1% and 21.9&#x2013;40.5%, with 14.6&#x2013;29.9% unaccounted for, including N losses. In the two subsequent maize seasons, manure addition significantly increased residual <sup>15</sup>N recovery in the crop and reduced residual <sup>15</sup>N in the soil and unaccounted for, with MNPK performing the best. Therefore, it showed that long-term NPK application in the soybean season, plus manure (i.e., 13.5&#xa0;t ha<sup>&#x2013;1</sup>) in the following maize seasons, can increase crop yield and fertilizer <sup>15</sup>N recovery while reducing <sup>15</sup>N residual in soil or losses and thus environmental risk; this strategy could be adopted widely in Northeast China and similar regions.</p>
</sec>
<sec id="s6" sec-type="data-availability">
<title>Data availability statement</title>
<p>The original contributions presented in the study are included in the article/<xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary Material</bold>
</xref>. Further inquiries can be directed to the corresponding authors.</p>
</sec>
<sec id="s7" sec-type="author-contributions">
<title>Author contributions</title>
<p>PL supervised and edited the manuscript. XH designed the experiment and helped in writing and editing the manuscript. JD and HG conducted the study, analyzed the data, and prepared and edited the original draft. FS, YL, and MB helped in sampling and measuring. JY and HL participated in managing the experiment. KS helped in writing and editing the manuscript. All authors contributed to the article and approved the submitted version.</p>
</sec>
</body>
<back>
<sec id="s8" sec-type="funding-information">
<title>Funding</title>
<p>This research was funded by the Ministry of Science and Technology of China (YS2022YFD150006101-4), the Science and Technology Program of Liaoning Province (2019-BS-213) and Youth Development Program of the Land and Environment College (QNPY-2021-01).</p>
</sec>
<ack>
<title>Acknowledgments</title>
<p>We are grateful to many graduate students involved in managing the field experiment, and thank the unknown reviewers and editor for their valuable comments, which helped improve our manuscript.</p>
</ack>
<sec id="s9" sec-type="COI-statement">
<title>Conflict of interest</title>
<p>The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec id="s10" sec-type="disclaimer">
<title>Publisher&#x2019;s note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
<sec id="s11" sec-type="supplementary-material">
<title>Supplementary material</title>
<p>The Supplementary Material for this article can be found online at: <ext-link ext-link-type="uri" xlink:href="https://www.frontiersin.org/articles/10.3389/fpls.2023.1105131/full#supplementary-material">https://www.frontiersin.org/articles/10.3389/fpls.2023.1105131/full#supplementary-material</ext-link>
</p>
<supplementary-material xlink:href="Table_1.docx" id="SM1" mimetype="application/vnd.openxmlformats-officedocument.wordprocessingml.document"/>
</sec>
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