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<journal-id journal-id-type="publisher-id">Front. Sustain. Food Syst.</journal-id>
<journal-title>Frontiers in Sustainable Food Systems</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Sustain. Food Syst.</abbrev-journal-title>
<issn pub-type="epub">2571-581X</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
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<article-meta>
<article-id pub-id-type="doi">10.3389/fsufs.2024.1490523</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Sustainable Food Systems</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Optimizing residue return with soil moisture and nutrient stoichiometry reduced greenhouse gas fluxes in Alfisols</article-title>
</title-group>
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<contrib contrib-type="author">
<name><surname>Singh</surname> <given-names>Dharmendra</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
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<contrib contrib-type="author" corresp="yes">
<name><surname>Lenka</surname> <given-names>Sangeeta</given-names></name>
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<name><surname>Lenka</surname> <given-names>Narendra Kumar</given-names></name>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
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<contrib contrib-type="author">
<name><surname>Yadav</surname> <given-names>Dinesh Kumar</given-names></name>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
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<name><surname>Yadav</surname> <given-names>Shashi S.</given-names></name>
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<name><surname>Kanwar</surname> <given-names>Rameshwar S.</given-names></name>
<xref ref-type="aff" rid="aff3"><sup>3</sup></xref>
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<name><surname>Sarkar</surname> <given-names>Abhijit</given-names></name>
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<name><surname>Saha</surname> <given-names>Madhumonti</given-names></name>
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<aff id="aff1"><sup>1</sup><institution>Department of Soil Science and Agriculture Chemistry, College of Agriculture, Gwalior</institution>, <addr-line>Madhya Pradesh</addr-line>, <country>India</country></aff>
<aff id="aff2"><sup>2</sup><institution>ICAR- Indian Institute of Soil Science, Nabibagh, Bhopal</institution>, <addr-line>Madhya Pradesh</addr-line>, <country>India</country></aff>
<aff id="aff3"><sup>3</sup><institution>Department of Agricultural and Biosystems Engineering, Iowa State University</institution>, <addr-line>Ames, IA</addr-line>, <country>United States</country></aff>
<author-notes>
<fn fn-type="edited-by"><p>Edited by: Yue Li, Kunming University of Science and Technology, China</p></fn>
<fn fn-type="edited-by"><p>Reviewed by: Fulai Yan, Aarhus University, Denmark</p>
<p>Cheng Li, Hebei University of Engineering, China</p></fn>
<corresp id="c001">&#x0002A;Correspondence: Sangeeta Lenka <email>sangeeta.lenka&#x00040;icar.gov.in</email></corresp>
<corresp id="c002">Narendra Kumar Lenka <email>nklenka74&#x00040;gmail.com</email></corresp>
</author-notes>
<pub-date pub-type="epub">
<day>06</day>
<month>11</month>
<year>2024</year>
</pub-date>
<pub-date pub-type="collection">
<year>2024</year>
</pub-date>
<volume>8</volume>
<elocation-id>1490523</elocation-id>
<history>
<date date-type="received">
<day>18</day>
<month>09</month>
<year>2024</year>
</date>
<date date-type="accepted">
<day>22</day>
<month>10</month>
<year>2024</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#x000A9; 2024 Singh, Lenka, Lenka, Yadav, Yadav, Kanwar, Sarkar and Saha.</copyright-statement>
<copyright-year>2024</copyright-year>
<copyright-holder>Singh, Lenka, Lenka, Yadav, Yadav, Kanwar, Sarkar and Saha</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>Optimum soil moisture and high crop residue return (RR) can increase the active pool of soil organic carbon and nitrogen, thus modulating the magnitude of greenhouse gas (GHG) fluxes. To determine the effect of soil moisture on the threshold level of RR for the wheat production system, we analyzed the relationship between GHG fluxes and RR at four levels, namely 0, 5, 10, and 15 Mg ha<sup>&#x02212;1</sup> (R0, R5, R10, and R15) under two soil moisture content (80% FC and 100% FC) and three levels of nutrient management (NS0: no nutrient; NS1, NS2= 3x NS1). Nutrient input (N and P) in NS1 balanced the residue C/nutrient stoichiometry to achieve 30% stabilization of the residue C input in RR (R5). All RR treatments (cf. R0) were found to significantly reduce N<sub>2</sub>O emission in moderate soil moisture content (80% FC) by 22&#x02013;56% across nutrient management due to enhanced soil C mineralization, microbial biomass carbon, and N immobilization. However, averaged across nutrient management, a linear increase in N<sub>2</sub>O emission was observed with increasing RR under 100% FC soil moisture. A significant decrease in CH<sub>4</sub> emission by ca. 46% in most RR treatments was observed in 100% FC compared with the R0. The N<sub>2</sub>O emission was negatively correlated (p &#x0003D; &#x0003C;0.001) with nutrient stoichiometry. Partial least square (PLS) regression indicated that GHG emissions were more responsive (values &#x0003E; 0.8) to management variables (RR rate, nitrogen (N) input rate, soil moisture, and nutrient stoichiometry of C: N) and post-incubation soil properties (SMBC and NO<sub>3</sub>-N) in Alfisols. This study demonstrated that the mechanisms responsible for RR effects on soil N<sub>2</sub>O, CH<sub>4</sub> fluxes, and carbon mineralization depend on soil moisture and nutrient management, shifting the nutrient stoichiometry of residue C: N: P.</p></abstract>
<kwd-group>
<kwd>residue return rate</kwd>
<kwd>stoichiometry</kwd>
<kwd>soil moisture</kwd>
<kwd>relative variable importance</kwd>
<kwd>nitrous oxide</kwd>
<kwd>methane</kwd>
</kwd-group>
<counts>
<fig-count count="8"/>
<table-count count="2"/>
<equation-count count="0"/>
<ref-count count="53"/>
<page-count count="15"/>
<word-count count="9965"/>
</counts>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-at-acceptance</meta-name>
<meta-value>Waste Management in Agroecosystems</meta-value>
</custom-meta>
</custom-meta-wrap>
</article-meta>
</front>
<body>
<sec sec-type="intro" id="s1">
<title>1 Introduction</title>
<p>Crop residues, the major byproduct of the agricultural sector, have a higher production rate in India (500 million metric tons, Mt), of which the share of wheat residue is more than 50% in India. For several reasons (short time span for sowing the next crop, limited farm mechanization, scarce manpower, and poor acceptability of paddy straw as fodder) crop residue of &#x0007E;87 Mt is burned annually in India, contributing to GHG emissions and carbonaceous aerosols (Deshpande et al., <xref ref-type="bibr" rid="B8">2023</xref>). Among the crop residues, wheat residue burning contributes the maximum, i.e., 65% of total GHG emissions due to residue burning, followed by rice and maize (Lenka et al., <xref ref-type="bibr" rid="B27">2014</xref>). The most sustainable and cost-effective method to manage wheat residue could be its recycling and incorporation into the soil (Wang et al., <xref ref-type="bibr" rid="B47">2018</xref>). This approach and other sustainable agricultural practices hold significant promise for reducing emissions and improving soil health. Harvesting wheat residues with a combined harvester leaves different proportions (varying from 30% to 100%) of residues in farmers&#x00027; fields with different rates of wheat RR to the soil (Singh et al., <xref ref-type="bibr" rid="B43">2024</xref>). Crop RR has multiple-fold benefits in maintaining soil health, crop productivity, and reduced emissions from residue burning (Kumar and Goh, <xref ref-type="bibr" rid="B22">1999</xref>; Fang et al., <xref ref-type="bibr" rid="B12">2018b</xref>). However, the different rates of crop RR could be a source or sink to soil emission of GHGs (CO<sub>2</sub>, N<sub>2</sub>O, and CH<sub>4</sub>). Several factors, including management and soil properties, could affect the responses to GHG emissions. However, the relative importance of management (RR rate, soil moisture, and nutrient input) factors and the soil parameters to the change in the magnitude of GHG emissions is still uncertain (Wang et al., <xref ref-type="bibr" rid="B47">2018</xref>; Zhou et al., <xref ref-type="bibr" rid="B53">2021</xref>; Mirzaei et al., <xref ref-type="bibr" rid="B39">2022</xref>; Zhang et al., <xref ref-type="bibr" rid="B52">2022</xref>).</p>
<p>The imperative to mitigate GHG emissions from agricultural activities has spurred intensive research to understand the factors that govern emissions dynamics, particularly in India, where wheat cultivation is prevalent during the Rabi season. However, the extent to which GHG emissions can be mitigated through crop residue management hinges on a multitude of factors, with soil moisture emerging as a pivotal determinant in this context (Liu et al., <xref ref-type="bibr" rid="B33">2019</xref>; Korkiakoski et al., <xref ref-type="bibr" rid="B21">2022</xref>; Fairbairn et al., <xref ref-type="bibr" rid="B9">2023</xref>). The decomposition of crop residues, a process central to GHG emissions, is profoundly influenced by soil moisture levels, which regulate microbial activity and decomposition rates (Lenka et al., <xref ref-type="bibr" rid="B26">2022</xref>). Furthermore, variations in soil moisture, driven by factors such as precipitation patterns and irrigation practices, can modulate the efficacy of different residue management strategies in mitigating GHG emissions. Previous research has shown that higher residue inputs can enhance microbial activity by providing an immediate and accessible energy source for soil microbes, which boosts microbial respiration and overall activity (Wang et al., <xref ref-type="bibr" rid="B47">2018</xref>; Fang et al., <xref ref-type="bibr" rid="B11">2020</xref>; Zhou et al., <xref ref-type="bibr" rid="B53">2021</xref>; Abalos et al., <xref ref-type="bibr" rid="B2">2022b</xref>; Mirzaei et al., <xref ref-type="bibr" rid="B39">2022</xref>; Zhang et al., <xref ref-type="bibr" rid="B52">2022</xref>). However, the relationship between soil moisture and carbon mineralization is complex, with studies reporting a bell-shaped relationship where moderate moisture levels optimize microbial activity and carbon mineralization (Fairbairn et al., <xref ref-type="bibr" rid="B9">2023</xref>). Excessive moisture can create anaerobic conditions that inhibit microbial activity and decomposition (Korkiakoski et al., <xref ref-type="bibr" rid="B21">2022</xref>). Interaction of soil moisture with other management practices like nitrogen demonstrated that compared with the high soil moisture content (45 mm irrigation), irrigation with 36 mm and 27 mm increased the soil organic carbon by 15.70%&#x02212;34.46%, with N180-N240 (Li C. et al., <xref ref-type="bibr" rid="B30">2023</xref>).</p>
<p>Nutrient input also plays a significant role in modulating these processes (Li et al., <xref ref-type="bibr" rid="B32">2021</xref>). Elemental stoichiometry resulting from residue C input modulates the humification efficiency of residue C, soil nutrient cycling, and GHG emissions (Kirkby et al., <xref ref-type="bibr" rid="B20">2013</xref>; Fang et al., <xref ref-type="bibr" rid="B13">2019</xref>, <xref ref-type="bibr" rid="B11">2020</xref>; Liu et al., <xref ref-type="bibr" rid="B34">2021</xref>; Singh et al., <xref ref-type="bibr" rid="B43">2024</xref>). The microbial utilization of crop residue-derived labile C sources, microbial biomass growth, and microbial efficiency may be enhanced by balancing the residue C-nutrient stoichiometry through the external nutrient supply, thereby enhancing the formation of soil organic carbon (Fang et al., <xref ref-type="bibr" rid="B13">2019</xref>). In contrast, excess nutrient application and narrowing of the C: N and C:P ratio below 12:1 and 50:1, respectively, relieved the P-shortage of microbial activity and stimulated N<sub>2</sub>O emissions upon straw addition (Li P. et al., <xref ref-type="bibr" rid="B31">2023</xref>; Wu et al., <xref ref-type="bibr" rid="B48">2020</xref>). The interaction between RR rates, soil moisture, and nutrient input can shift microbial communities from being nutrient-limited to substrate-limited, highlighting the importance of balanced carbon and nutrient inputs (Fang et al., <xref ref-type="bibr" rid="B10">2018a</xref>; Shen et al., <xref ref-type="bibr" rid="B42">2021</xref>). The resource stoichiometry between hot water-extracted organic carbon and mineral nitrogen and the ratio of mineral nitrogen to Olsen-P were crucial in influencing N<sub>2</sub>O emissions (Wu et al., <xref ref-type="bibr" rid="B48">2020</xref>). This study aims to elucidate these complex interactions, providing insights into sustainable agricultural practices that enhance soil carbon dynamics and mitigate GHG emissions.</p>
<p>The functional relationship between N<sub>2</sub>O emissions and the rate of crop residue application can be both linear (Singh et al., <xref ref-type="bibr" rid="B43">2024</xref>) and nonlinear (Wang et al., <xref ref-type="bibr" rid="B46">2012</xref>), indicating the influence of other controlling factors on the nature of the relationship. This relationship is influenced by several factors, including the nitrogen content of the residues (Abalos et al., <xref ref-type="bibr" rid="B2">2022b</xref>), and management factors, including soil nutrients and moisture (Mirzaei et al., <xref ref-type="bibr" rid="B39">2022</xref>). There are several studies reporting non-linear responses of N<sub>2</sub>O to increasing nitrogen fertilizer rates across various cropping systems (Xu et al., <xref ref-type="bibr" rid="B50">2019</xref>; Liyanage et al., <xref ref-type="bibr" rid="B35">2020</xref>; Abalos et al., <xref ref-type="bibr" rid="B1">2022a</xref>; Zhang et al., <xref ref-type="bibr" rid="B52">2022</xref>). The addition of organic carbon input could alter the nonlinear response of N<sub>2</sub>O to a linear constant emission with increasing N fertilization rates (Xu et al., <xref ref-type="bibr" rid="B50">2019</xref>). Residue incorporation and N fertilization rate linearly increased the loss of reactive N (denitrification, volatilization, leaching, and runoff) in rice-wheat crop rotation (Xia et al., <xref ref-type="bibr" rid="B49">2020</xref>). Studies have shown that high wheat RR (0.5%) and high N fertilization rate (0.96 g&#x000B7;N&#x000B7;pot<sup>&#x02212;1</sup>) can increase CO<sub>2</sub> emission by 9% compared with no residue however, N<sub>2</sub>O emission was the highest at medium RR (0.25%) (Wang et al., <xref ref-type="bibr" rid="B46">2012</xref>). Soil moisture, being a key driving variable of soil GHG emission (Stark and Firestone, <xref ref-type="bibr" rid="B44">1995</xref>; Liu et al., <xref ref-type="bibr" rid="B33">2019</xref>; Fairbairn et al., <xref ref-type="bibr" rid="B9">2023</xref>), has been less studied in understanding the functional relationship between GHG emission and RR rates.</p>
<p>Therefore, this study aimed to investigate the effects of varying wheat RR rates (0, 5, 10, and 15 Mg/ha) and nutrient management practices (NS0, NS1, NS2) under two different soil moisture conditions (100% FC and 80% FC) on carbon mineralization and GHG emissions (N<sub>2</sub>O and CH<sub>4</sub>) in Alfisols. Alfisols are the dominant soil order in India and occupy 24.25% (79.7 Mha) of the total geographical area in India (Chandrakala et al., <xref ref-type="bibr" rid="B7">2021</xref>). The soil moisture levels were chosen to mimic wet and optimal moisture environments to assess their impact on GHG emissions and global warming potential. We hypothesized that (1) the combined effect of soil moisture levels at 80% field capacity (cf. 100% FC) and increased wheat RR rates (5, 10, and 15 Mg/ha) (cf. R0) will result in a significant reduction in GHG emissions (N<sub>2</sub>O and CH<sub>4</sub>) in Alfisols, (2) Nutrient management (NS1 and NS2) shifting the nutrient stoichiometry of C: N: P significantly influence the efficacy of different rates of wheat RR in reducing GHG emissions (cf. NS0), and (3) Soil N immobilization from high RR and residue C/nutrient input stoichiometry (C: N &#x0003E;12:1 and C: P &#x0003E; 50:1) will positively impact N<sub>2</sub>O reduction compared with RR and residue C/nutrient input stoichiometry (C: N &#x0003C;=12:1; C:P &#x0003C;= 50:1).</p></sec>
<sec sec-type="materials and methods" id="s2">
<title>2 Materials and methods</title>
<sec>
<title>2.1 Soil and wheat residue</title>
<p>The surface soil (0&#x02013;15 cm) used to conduct this investigation was collected from the farmer&#x00027;s field (21.96&#x000B0;N latitude and 77.74&#x000B0;E longitude) that follows a maize-fallow cropping sequence, presenting an Alfisol according to the USDA soil taxonomy. The soil samples were meticulously processed to remove visible roots and big residual bits and then stored at a temperature of 4&#x000B0;C until further investigation. The soil is characterized by a sandy loam texture, 0.68% total organic carbon (TC), 0.06% total nitrogen (TN), and 0.014% total phosphorus (TP) with a C: N ratio of 11.87 and a C: P ratio of 49.61. An elemental analyzer (NC analyzer, Thermofisher, Flash 2000 model) was used to determine total organic C and N concentrations in soil and residues. We used sulphuric acid-perchloric acid digestion and molybdenum antimony colorimetric estimation (Page et al., <xref ref-type="bibr" rid="B40">1982</xref>) to determine total P concentration in soil and residue. The wheat crop residue was collected after the harvest of wheat from an experimental plot under a long-term soybean-wheat cropping system at a recommended dose of fertilizer in the research farm of the Indian Institute of Soil Science. For the residue treatment, the wheat residues were pulverized after air drying and sieved to a size of 2 mm. The relevant properties of wheat residue were 44.78% TC, 0.56% TN, and 0.023% TP, having a C: N ratio of 79.54 and a C: P ratio of 1,946.96.</p></sec>
<sec>
<title>2.2 Incubation experiment</title>
<p>Soil microcosms were established using 461 ml glass jars with an aluminum screw-cap lid fitted with a septum for gas sampling. The soil was pre-incubated for 10 days at 70% of the two moisture levels and room temperature. Following pre-incubation, an incubation experiment was set up with varied levels of residue and nutrient input under two soil moisture contents (80% and 100% FC). Wheat residues were applied at four levels: 0, 90, 180, and 270 mg (dry weight), which was equivalent to 0 (R0), 5 (R5), 10 (R10), and 15 (R15) Mg ha<sup>&#x02212;1</sup>, respectively<sub>.</sub> The crop residues (&#x0003C;2 mm) were completely mixed with soil (&#x0003C;2 mm) for incubation based on a 10 cm incorporation depth in the field. After residue addition, the nutrient solution was added to all RR treatments at three levels: (1) NS0: no nutrient, (2) NS1, nutrients (N and P) were added to balance the residue C/nutrient stoichiometry of C: N: P:: 1,000:83.3: 20.0 (Fang et al., <xref ref-type="bibr" rid="B11">2020</xref>) to achieve 30% humification of added residue C input at 5 Mg/ha (R5), and 3) NS2= 3x NS1. Therefore, the achieved nutrient stoichiometry varied with RR rate, and the values were 12:1 (C: N) and 50:1 (C: P) in R5 NS1, 24:1 (C: N), and 100:1 (C: P) in R10 NS1 and 36:1 (C: N) and 150:1 (C: P) in R15 NS1. Additionally, stoichiometry was 4:1 (C: N) and 17:1 (C: P) in R5 NS2, 8:1 (C: N), and 33:1 (C: P) in R10 NS2, and 12:1 (C: N) and 50:1 (C: P) in R15 NS2. Nutrient solutions corresponding to nutrient levels were prepared using AR grade urea and potassium dihydrogen phosphate, and 10 M sodium hydroxide solution was used to modify the pH of the nutrient solution to 7. All treatments were replicated three times and incubated at 30&#x000B0;C incubation temperature at 80% FC and 100% FC soil moisture content. This temperature was selected because the aboveground mean annual surface temperature was ca. 30&#x000B0;C in sub-tropical and semi-arid regions during different crop-growing seasons (Lenka et al., <xref ref-type="bibr" rid="B26">2022</xref>). Triplicate empty glass jars were also incubated to account for the headspace GHGs. Field capacity (FC) was measured at matric potentials of &#x02212;33 kPa using sieved (&#x0003C;2 mm) soil samples in pressure plate extractors from Soil Moisture Equipment Corp., Santa Barbara, CA, with FC moisture content at 0.14 m<sup>3</sup>m<sup>&#x02212;3</sup>. Soil moisture was maintained through regular weighing and water addition to compensate for evaporation losses during gas sampling intervals.</p></sec>
<sec>
<title>2.3 GHG sampling and measurements</title>
<p>The GHG fluxes from different treatments were measured in gas chromatography (Agilent Technologies model 7890A). Headspace gases were drawn from the incubation jars using a syringe and immediately transferred to a 10 ml evacuated glass at frequent intervals for 116 days of incubation. The CH<sub>4</sub>/CO<sub>2</sub>/N<sub>2</sub>O flux rate was calculated as the change in headspace N<sub>2</sub>O/CH<sub>4</sub>/CO<sub>2</sub> concentration using the ideal gas law and molecular weight of the gases. Cumulative N<sub>2</sub>O, CH<sub>4</sub>, and CO<sub>2</sub> emissions were determined by linear integration of daily fluxes. The global warming potential of CO<sub>2</sub>-equivalent was calculated by multiplying the cumulative N<sub>2</sub>O and CH<sub>4</sub> emissions by their respective radiative forcing potentials using the following equation (Singh et al., <xref ref-type="bibr" rid="B43">2024</xref>):</p>
<p>GWP (mg CO<sub>2</sub> eq. kg<sup>&#x02212;1</sup> soil) = CH<sub>4</sub> (mg kg<sup>&#x02212;1</sup> soil) &#x000D7; 27.2 &#x0002B; N<sub>2</sub>O (mg kg<sup>&#x02212;1</sup> soil) &#x000D7; 273 &#x0002B; CO<sub>2</sub> (mg kg<sup>&#x02212;1</sup> soil) &#x000D7; 1</p></sec>
<sec>
<title>2.4 Post incubation soil properties</title>
<p>After the incubation period of 116 days, soil samples were analyzed for relevant soil properties such as soil minerals nitrogen (NO<sub>3</sub>-N and NH<sub>4</sub>-N), alkaline phosphatase, soil microbial biomass carbon (SMBC), and labile SOC following standard analytical procedures. The moisture content was determined gravimetrically using the oven-dry method in a part of the moist composite soil samples. Soil mineral nitrogen was estimated after extraction in 2M KCl, and subsequent analysis employed standard methods (Kempers, <xref ref-type="bibr" rid="B18">1974</xref>). Labile SOC calculations utilized the potassium permanganate oxidation method (Blair et al., <xref ref-type="bibr" rid="B6">1995</xref>; Islam et al., <xref ref-type="bibr" rid="B15">2003</xref>) and measured alkaline phosphatase as an indicator of P demand (Alef and Nannipieri, <xref ref-type="bibr" rid="B3">1995</xref>). Soil MBC was determined by a fumigation-extraction method, and a conversion factor of 0.45 was applied to determine SMBC (Joergensen and Brookes, <xref ref-type="bibr" rid="B17">1990</xref>).</p></sec>
<sec>
<title>2.5 Statistical analysis</title>
<p>All data underwent tests for normality and homogeneity of variance, with transformations applied as needed. Statistical analyses were performed using SPSS software, setting a significance threshold of p=0.05. The general linear model univariate ANOVA was employed, followed by Tukey&#x00027;s HSD test for multiple comparisons of means. Curve fittings were applied to model the response of N<sub>2</sub>O, CH<sub>4</sub>, and CO<sub>2</sub> emissions to residue rates. The coefficient of determination (R<sup>2</sup>) and variance metrics (SST, sum of squares for total; SSR, sum of squares for regression; SSE, sum of squares for error) were used to assess model fit. The function with the highest R<sup>2</sup> value at P &#x0003C;0.05 was chosen for the least significant differences (LSD) test. In cases where R<sup>2</sup> values were identical among models, the function with the lower SSE value, indicating reduced systematic error, was selected as the best representation of the GHG response. The relative effect of management variables (residue and nutrient input, soil moisture) and post-harvest soil parameters (NO3-N, NH4-N, SMBC, labile C, and alk. PO<sub>4</sub>) on soil GHG emission (CO<sub>2</sub>/CH<sub>4</sub>/N<sub>2</sub>O) was evaluated using Pearson correlation (two-tailed significance) and partial least squares (PLS) regression models. The variable influence projection (VIP) score of value &#x0003E; 0.8 (G&#x000F3;mez-Gener et al., <xref ref-type="bibr" rid="B14">2018</xref>) was used to identify the potential drivers of GHG emission in Alfisols under various managements. PLS is a regression multivariate analytical technique that enables the assessment of relationships between multiple and collinear independent (X; potential explanatory variables: RR rate, soil moisture, nutrient stoichiometry of C: N, C: P, N input, SMBC, NO<sub>3</sub>-N, NH<sub>4</sub>-N, SMBC, labile C, and alk. PO<sub>4</sub>) and dependent (Y; N<sub>2</sub>O, CH<sub>4</sub>, and CO<sub>2</sub> flux) data matrices. The model&#x00027;s predictive ability was enhanced by decomposing the X and Y variables into new, fewer uncorrelated orthogonal latent factors, and the optimal PLS model was selected based on the minimum cross-validation root PRESS to produce a linear regression model. The predicted residual sum of squares of the model was extracted using the optimal number of factors in the cross-validation. The model with the lowest root mean predicted residual sum of squares is the optimal number of factors. The model performance was analyzed using the root mean square error (RMSE), adjusted (R2) coefficient of determination, and <italic>p</italic>-value between observed and predicted values due to their robustness, simplicity, and widespread use. All the graphs were constructed using Origin Pro, version 2024b (Origin Lab Corporation, Northampton, MA, USA).</p></sec></sec>
<sec sec-type="results" id="s3">
<title>3 Results</title>
<sec>
<title>3.1 Carbon mineralization</title>
<p>The carbon mineralization in control soil and soil plus crop residue measured as magnitude of soil CO<sub>2</sub> flux was significantly the highest in the treatment receiving R15 &#x0002B; NS2 at 100% FC (445.61 mg C kg<sup>&#x02212;1</sup> soil) and the lowest R0 &#x0002B; 100% FC &#x0002B; NS2 (38.70 mg C kg<sup>&#x02212;1</sup> soil) (<xref ref-type="table" rid="T1">Table 1</xref>). The factor effect of wheat RR increased (P &#x0003C;0.001), but nutrient input (NSL) and soil moisture did not change cumulative carbon mineralization with significant interactions between RR rate x soil moisture x NS (P=0.008), RR rate x soil moisture, and RR rate x NS (<xref ref-type="supplementary-material" rid="SM1">Supplementary Table S1</xref>). Increasing soil moisture from 80% FC to 100% FC relatively decreased the carbon mineralization though not significantly at all RR rates averaged across nutrient input (<xref ref-type="fig" rid="F1">Figure 1</xref>). The response of carbon mineralization to increasing RR changed from linear (y = 21.57x &#x0002B; 45.16, R<sup>2</sup> = 0.99) to curvilinear (y = &#x02212;1.51x<sup>2</sup> &#x0002B; 40.61x &#x0002B; 48.01, R<sup>2</sup>=0.99) with increasing soil moisture from 80% FC to 100% FC across nutrient management (<xref ref-type="fig" rid="F2">Figure 2</xref>). Across soil moisture, adding nutrients with crop residue had no significant effect on carbon mineralization at R0 and R5. However, C mineralization decreased at a RR rate of R10 and increased at R15 with increasing nutrient input shifting the stoichiometry (<xref ref-type="supplementary-material" rid="SM1">Supplementary Figure S1</xref>).</p>
<table-wrap position="float" id="T1">
<label>Table 1</label>
<caption><p>Effect of varied residue return (RR) and nutrient input (NSL) on cumulative soil GHG emission (CO<sub>2</sub>, CH<sub>4</sub>, and N<sub>2</sub>O) and global warming potential under different soil moisture content for 116 days of incubation.</p></caption>
<table frame="box" rules="all">
<thead>
<tr style="background-color:#919498;color:#ffffff">
<th valign="top" align="left"><bold>RR rate</bold></th>
<th valign="top" align="left"><bold>Soil moisture</bold></th>
<th valign="top" align="left"><bold>Nutrient management</bold></th>
<th valign="top" align="left" colspan="2"><bold>CO</bold><sub><bold>2</bold></sub> <bold>(mg C kg</bold><sup><bold>&#x02212;1</bold></sup> <bold>soil)</bold></th>
<th valign="top" align="left" colspan="2"><bold>CH</bold><sub><bold>4</bold></sub> <bold>(</bold>&#x003BC;<bold>g C kg</bold><sup><bold>&#x02212;1</bold></sup> <bold>soil)</bold></th>
<th valign="top" align="left" colspan="2"><bold>N</bold><sub><bold>2</bold></sub><bold>O (</bold>&#x003BC;<bold>g N kg</bold><sup><bold>&#x02212;1</bold></sup> <bold>soil)</bold></th>
<th valign="top" align="left" colspan="2"><bold>GWP (mg CO</bold><sub><bold>2</bold></sub><bold>-C eq. kg</bold><sup><bold>&#x02212;1</bold></sup> <bold>soil)</bold></th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">R0</td>
<td valign="top" align="left">FC100</td>
<td valign="top" align="left">NS0</td>
<td valign="top" align="left">47.40</td>
<td valign="top" align="left">i</td>
<td valign="top" align="left">0.96</td>
<td valign="top" align="left">b</td>
<td valign="top" align="left">12.63</td>
<td valign="top" align="left">cdef</td>
<td valign="top" align="left">179.42</td>
<td valign="top" align="left">i</td>
</tr> <tr>
<td valign="top" align="left">R0</td>
<td valign="top" align="left">FC100</td>
<td valign="top" align="left">NS1</td>
<td valign="top" align="left">48.02</td>
<td valign="top" align="left">i</td>
<td valign="top" align="left">5.31</td>
<td valign="top" align="left">ab</td>
<td valign="top" align="left">13.98</td>
<td valign="top" align="left">cdef</td>
<td valign="top" align="left">182.40</td>
<td valign="top" align="left">i</td>
</tr> <tr>
<td valign="top" align="left">R0</td>
<td valign="top" align="left">FC100</td>
<td valign="top" align="left">NS2</td>
<td valign="top" align="left">38.70</td>
<td valign="top" align="left">i</td>
<td valign="top" align="left">1.84</td>
<td valign="top" align="left">b</td>
<td valign="top" align="left">17.04</td>
<td valign="top" align="left">cdef</td>
<td valign="top" align="left">149.40</td>
<td valign="top" align="left">i</td>
</tr> <tr>
<td valign="top" align="left">R0</td>
<td valign="top" align="left">FC80</td>
<td valign="top" align="left">NS0</td>
<td valign="top" align="left">57.21</td>
<td valign="top" align="left">i</td>
<td valign="top" align="left">&#x02212;3.53</td>
<td valign="top" align="left">b</td>
<td valign="top" align="left">16.12</td>
<td valign="top" align="left">cdef</td>
<td valign="top" align="left">216.75</td>
<td valign="top" align="left">i</td>
</tr> <tr>
<td valign="top" align="left">R0</td>
<td valign="top" align="left">FC80</td>
<td valign="top" align="left">NS1</td>
<td valign="top" align="left">64.15</td>
<td valign="top" align="left">hi</td>
<td valign="top" align="left">2.69</td>
<td valign="top" align="left">b</td>
<td valign="top" align="left">32.38</td>
<td valign="top" align="left">abc</td>
<td valign="top" align="left">249.41</td>
<td valign="top" align="left">hi</td>
</tr> <tr>
<td valign="top" align="left">R0</td>
<td valign="top" align="left">FC80</td>
<td valign="top" align="left">NS2</td>
<td valign="top" align="left">52.80</td>
<td valign="top" align="left">i</td>
<td valign="top" align="left">5.78</td>
<td valign="top" align="left">ab</td>
<td valign="top" align="left">17.23</td>
<td valign="top" align="left">cdef</td>
<td valign="top" align="left">201.37</td>
<td valign="top" align="left">i</td>
</tr> <tr>
<td valign="top" align="left">R5</td>
<td valign="top" align="left">FC100</td>
<td valign="top" align="left">NS0</td>
<td valign="top" align="left">239.62</td>
<td valign="top" align="left">def</td>
<td valign="top" align="left">3.87</td>
<td valign="top" align="left">b</td>
<td valign="top" align="left">7.91</td>
<td valign="top" align="left">ef</td>
<td valign="top" align="left">882.94</td>
<td valign="top" align="left">def</td>
</tr> <tr>
<td valign="top" align="left">R5</td>
<td valign="top" align="left">FC100</td>
<td valign="top" align="left">NS1</td>
<td valign="top" align="left">218.60</td>
<td valign="top" align="left">defg</td>
<td valign="top" align="left">3.13</td>
<td valign="top" align="left">b</td>
<td valign="top" align="left">30.31</td>
<td valign="top" align="left">abcd</td>
<td valign="top" align="left">815.36</td>
<td valign="top" align="left">defg</td>
</tr> <tr>
<td valign="top" align="left">R5</td>
<td valign="top" align="left">FC100</td>
<td valign="top" align="left">NS2</td>
<td valign="top" align="left">211.37</td>
<td valign="top" align="left">defg</td>
<td valign="top" align="left">15.69</td>
<td valign="top" align="left">a</td>
<td valign="top" align="left">26.04</td>
<td valign="top" align="left">bcde</td>
<td valign="top" align="left">787.45</td>
<td valign="top" align="left">defg</td>
</tr> <tr>
<td valign="top" align="left">R5</td>
<td valign="top" align="left">FC80</td>
<td valign="top" align="left">NS0</td>
<td valign="top" align="left">117.77</td>
<td valign="top" align="left">ghi</td>
<td valign="top" align="left">1.35</td>
<td valign="top" align="left">b</td>
<td valign="top" align="left">3.23</td>
<td valign="top" align="left">f</td>
<td valign="top" align="left">433.65</td>
<td valign="top" align="left">ghi</td>
</tr> <tr>
<td valign="top" align="left">R5</td>
<td valign="top" align="left">FC80</td>
<td valign="top" align="left">NS1</td>
<td valign="top" align="left">175.16</td>
<td valign="top" align="left">efgh</td>
<td valign="top" align="left">3.69</td>
<td valign="top" align="left">b</td>
<td valign="top" align="left">14.03</td>
<td valign="top" align="left">cdef</td>
<td valign="top" align="left">648.99</td>
<td valign="top" align="left">efghi</td>
</tr> <tr>
<td valign="top" align="left">R5</td>
<td valign="top" align="left">FC80</td>
<td valign="top" align="left">NS2</td>
<td valign="top" align="left">134.42</td>
<td valign="top" align="left">fghi</td>
<td valign="top" align="left">3.53</td>
<td valign="top" align="left">b</td>
<td valign="top" align="left">21.54</td>
<td valign="top" align="left">cdef</td>
<td valign="top" align="left">502.70</td>
<td valign="top" align="left">fghi</td>
</tr> <tr>
<td valign="top" align="left">R10</td>
<td valign="top" align="left">FC100</td>
<td valign="top" align="left">NS0</td>
<td valign="top" align="left">368.25</td>
<td valign="top" align="left">abc</td>
<td valign="top" align="left">0.76</td>
<td valign="top" align="left">b</td>
<td valign="top" align="left">12.19</td>
<td valign="top" align="left">cdef</td>
<td valign="top" align="left">1356.75</td>
<td valign="top" align="left">abc</td>
</tr> <tr>
<td valign="top" align="left">R10</td>
<td valign="top" align="left">FC100</td>
<td valign="top" align="left">NS1</td>
<td valign="top" align="left">294.35</td>
<td valign="top" align="left">cd</td>
<td valign="top" align="left">2.78</td>
<td valign="top" align="left">b</td>
<td valign="top" align="left">16.72</td>
<td valign="top" align="left">cdef</td>
<td valign="top" align="left">1087.53</td>
<td valign="top" align="left">cd</td>
</tr> <tr>
<td valign="top" align="left">R10</td>
<td valign="top" align="left">FC100</td>
<td valign="top" align="left">NS2</td>
<td valign="top" align="left">216.12</td>
<td valign="top" align="left">defg</td>
<td valign="top" align="left">&#x02212;3.65</td>
<td valign="top" align="left">b</td>
<td valign="top" align="left">21.47</td>
<td valign="top" align="left">cdef</td>
<td valign="top" align="left">802.23</td>
<td valign="top" align="left">defg</td>
</tr> <tr>
<td valign="top" align="left">R10</td>
<td valign="top" align="left">FC80</td>
<td valign="top" align="left">NS0</td>
<td valign="top" align="left">238.74</td>
<td valign="top" align="left">def</td>
<td valign="top" align="left">7.06</td>
<td valign="top" align="left">ab</td>
<td valign="top" align="left">3.41</td>
<td valign="top" align="left">f</td>
<td valign="top" align="left">877.88</td>
<td valign="top" align="left">def</td>
</tr> <tr>
<td valign="top" align="left">R10</td>
<td valign="top" align="left">FC80</td>
<td valign="top" align="left">NS1</td>
<td valign="top" align="left">243.20</td>
<td valign="top" align="left">def</td>
<td valign="top" align="left">1.18</td>
<td valign="top" align="left">b</td>
<td valign="top" align="left">3.93</td>
<td valign="top" align="left">f</td>
<td valign="top" align="left">894.28</td>
<td valign="top" align="left">def</td>
</tr> <tr>
<td valign="top" align="left">R10</td>
<td valign="top" align="left">FC80</td>
<td valign="top" align="left">NS2</td>
<td valign="top" align="left">248.21</td>
<td valign="top" align="left">de</td>
<td valign="top" align="left">5.91</td>
<td valign="top" align="left">ab</td>
<td valign="top" align="left">43.82</td>
<td valign="top" align="left">ab</td>
<td valign="top" align="left">929.94</td>
<td valign="top" align="left">de</td>
</tr> <tr>
<td valign="top" align="left">R15</td>
<td valign="top" align="left">FC100</td>
<td valign="top" align="left">NS0</td>
<td valign="top" align="left">227.83</td>
<td valign="top" align="left">defg</td>
<td valign="top" align="left">1.53</td>
<td valign="top" align="left">b</td>
<td valign="top" align="left">8.41</td>
<td valign="top" align="left">def</td>
<td valign="top" align="left">839.79</td>
<td valign="top" align="left">defg</td>
</tr> <tr>
<td valign="top" align="left">R15</td>
<td valign="top" align="left">FC100</td>
<td valign="top" align="left">NS1</td>
<td valign="top" align="left">286.32</td>
<td valign="top" align="left">cde</td>
<td valign="top" align="left">4.69</td>
<td valign="top" align="left">ab</td>
<td valign="top" align="left">11.98</td>
<td valign="top" align="left">cdef</td>
<td valign="top" align="left">1,056.12</td>
<td valign="top" align="left">cde</td>
</tr> <tr>
<td valign="top" align="left">R15</td>
<td valign="top" align="left">FC100</td>
<td valign="top" align="left">NS2</td>
<td valign="top" align="left">445.61</td>
<td valign="top" align="left">a</td>
<td valign="top" align="left">&#x02212;1.97</td>
<td valign="top" align="left">b</td>
<td valign="top" align="left">49.82</td>
<td valign="top" align="left">a</td>
<td valign="top" align="left">1,656.68</td>
<td valign="top" align="left">a</td>
</tr> <tr>
<td valign="top" align="left">R15</td>
<td valign="top" align="left">FC80</td>
<td valign="top" align="left">NS0</td>
<td valign="top" align="left">322.01</td>
<td valign="top" align="left">bcd</td>
<td valign="top" align="left">1.31</td>
<td valign="top" align="left">b</td>
<td valign="top" align="left">5.24</td>
<td valign="top" align="left">ef</td>
<td valign="top" align="left">1,184.05</td>
<td valign="top" align="left">bcd</td>
</tr> <tr>
<td valign="top" align="left">R15</td>
<td valign="top" align="left">FC80</td>
<td valign="top" align="left">NS1</td>
<td valign="top" align="left">413.85</td>
<td valign="top" align="left">ab</td>
<td valign="top" align="left">1.09</td>
<td valign="top" align="left">b</td>
<td valign="top" align="left">2.86</td>
<td valign="top" align="left">f</td>
<td valign="top" align="left">1,520.10</td>
<td valign="top" align="left">ab</td>
</tr> <tr>
<td valign="top" align="left">R15</td>
<td valign="top" align="left">FC80</td>
<td valign="top" align="left">NS2</td>
<td valign="top" align="left">416.06</td>
<td valign="top" align="left">ab</td>
<td valign="top" align="left">2.38</td>
<td valign="top" align="left">b</td>
<td valign="top" align="left">21.15</td>
<td valign="top" align="left">cdef</td>
<td valign="top" align="left">1,536.10</td>
<td valign="top" align="left">ab</td>
</tr></tbody>
</table>
<table-wrap-foot>
<p>Soil moisture (FC80: 80% FC and FC100: 100% FC), RR rate (R0: &#x00040; 0 Mg/ha; R5: &#x00040; 5 Mg/ha, R10: &#x00040; 10 Mg/ha, and R15: &#x00040; 15 Mg/ha), and nutrient management (NS0: no nutrient; NS1, NS2= 3x NS1). Nutrient input (N and P) in NS1 balanced the residue C/nutrient stoichiometry to achieve 30% stabilization of the residue C input in RR (R5).</p>
</table-wrap-foot>
</table-wrap><fig id="F1" position="float">
<label>Figure 1</label>
<caption><p>Effect of soil moisture on cumulative carbon mineralization (mg CO<sub>2</sub> C kg<sup>&#x02212;1</sup> soil) under different rates of wheat residue return (R0: &#x00040; 0 Mg/ha; R5: &#x00040; 5 Mg/ha, R10: &#x00040; 10 Mg/ha, and R15: &#x00040; 15 Mg/ha) averaged across nutrient input over116 days of incubation. Vertical bars represent the mean &#x000B1; standard error (n=3). Different lower-case letters indicate significant differences among treatments at &#x003B1; &#x0003C;0.05.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fsufs-08-1490523-g0001.tif"/>
</fig><fig id="F2" position="float">
<label>Figure 2</label>
<caption><p>The response of cumulative carbon mineralization (mg CO<sub>2</sub> C kg<sup>&#x02212;1</sup> soil) to different application rates of wheat residue (R0: &#x00040; 0 Mg/ha; R5: &#x00040; 5 Mg/ha, R10: &#x00040; 10 Mg/ha, and R15: &#x00040; 15 Mg/ha) under 80 and 100% FC averaged across nutrient input over116 days of incubation.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fsufs-08-1490523-g0002.tif"/>
</fig></sec>
<sec>
<title>3.2 Nitrous oxide (N<sub>2</sub>O) fluxes</title>
<p>Increasing soil moisture from 80% to 100% FC increased the N<sub>2</sub>O fluxes across residue and nutrient management, and the magnitude was significantly the highest in the treatment receiving R15 &#x0002B; NS2 at 100% FC (49.82 &#x003BC;g N kg<sup>&#x02212;1</sup> soil) and the lowest R15 &#x0002B; 80% FC &#x0002B; NS1 (2.85 &#x003BC;g N kg<sup>&#x02212;1</sup> soil) (<xref ref-type="table" rid="T1">Table 1</xref>). Nutrient input shifting the stoichiometry had a significant effect only at higher RR rates (R10 and R15) (<xref ref-type="supplementary-material" rid="SM1">Supplementary Figure S2</xref>). Only the main effect of nutrient input (NS, <italic>P</italic> &#x0003C; 0.0001) was significant, with significant interactions between RR rate x soil moisture x NS (<italic>P</italic> &#x0003C; 0.0001), RR rate x soil moisture, and RR rate x NS (<xref ref-type="supplementary-material" rid="SM1">Supplementary Table S1</xref>, <xref ref-type="fig" rid="F3">Figure 3</xref>). Regression analysis revealed a linear response in N<sub>2</sub>O emissions toward RR rates (y = 0.4364x &#x0002B; 15.463 R<sup>2</sup> = 0.47) at 100% FC. In contrast, the response was quadratic (y = 0.0167x<sup>2</sup> &#x02013; 0.8971x &#x0002B; 20.68 R<sup>2</sup> = 0.63) at 80% FC, i.e., wheat residue application with an increment of &#x00040; 5 Mg/ha from 5 to 15 Mg/ha decreased the N<sub>2</sub>O emission from 12.9 to 9.7 &#x003BC;g N kg<sup>&#x02212;1</sup> compared to soil without residue (21.9 &#x003BC;g N kg<sup>&#x02212;1</sup>) (<xref ref-type="fig" rid="F4">Figure 4</xref>). Aditionaly the sunburst constructed indicated the decreasing proportion of N<sub>2</sub>O emission with RR rate at 80% FC (<xref ref-type="fig" rid="F5">Figure 5</xref>). However, increasing nutrient input, significantly increased the N<sub>2</sub>O fluxes NS2 (27.26 &#x003BC;g N kg<sup>&#x02212;1</sup> soil) &#x0003E;NS1 (15.77 &#x003BC;g N kg<sup>&#x02212;1</sup> soil) &#x0003E;NS0 (8.64 &#x003BC;g N kg<sup>&#x02212;1</sup> soil) averaged across residue management and soil moisture.</p>
<fig id="F3" position="float">
<label>Figure 3</label>
<caption><p>Effect of soil moisture on cumulative N<sub>2</sub>O fluxes (&#x003BC;g N kg<sup>&#x02212;1</sup> soil) under different nutrient management averaged across RR rates over 116 days of incubation. Vertical bars represent the mean &#x000B1; standard error (n=3). Different lower-case letters indicate significant differences among treatments at &#x003B1; &#x0003C;0.05.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fsufs-08-1490523-g0003.tif"/>
</fig><fig id="F4" position="float">
<label>Figure 4</label>
<caption><p>The response of N<sub>2</sub>O fluxes (&#x003BC;g N kg<sup>&#x02212;1</sup> soil) to different application rates of wheat residue (R0: &#x00040; 0 Mg/ha; R5: &#x00040; 5 Mg/ha, R10: &#x00040; 10 Mg/ha, and R15: &#x00040; 15 Mg/ha) under 80 and 100% FC across nutrient management over 116 days of incubation.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fsufs-08-1490523-g0004.tif"/>
</fig><fig id="F5" position="float">
<label>Figure 5</label>
<caption><p>A sunburst chart illustrating the effect of soil moisture (80% FC and 100% FC), residue return rates (R0: &#x00040; 0 Mg/ha; R5: &#x00040; 5 Mg/ha, R10: &#x00040; 10 Mg/ha, and R15: &#x00040; 15 Mg/ha), and nutrient management (NS0, NS1 and NS2) on cumulative (a) N<sub>2</sub>O emissions and (b) GWP over 116 days of incubation.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fsufs-08-1490523-g0005.tif"/>
</fig></sec>
<sec>
<title>3.3 Methane (CH<sub>4</sub>) fluxes</title>
<p>The average cumulative CH<sub>4</sub> fluxes ranged from 15.69 &#x003BC;g C kg<sup>&#x02212;1</sup> soil (R5&#x0002B;NS2 at 100% FC) and the lowest in &#x02212;3.65 &#x003BC;g C kg<sup>&#x02212;1</sup> soil (R10&#x0002B;NS2 at 100% FC) (<xref ref-type="table" rid="T1">Table 1</xref>). Changing soil moisture influenced the response of CH<sub>4</sub> fluxes to the rate of wheat residue application. Averaged across nutrient input at 100% FC soil moisture, the trend of CH<sub>4</sub> fluxes was linear, and maximum emissions occurred at an RR rate of 5 Mg/ha (<xref ref-type="fig" rid="F6">Figure 6</xref>). In contrast, at 80% FC averaged across nutrient management, cumulative CH<sub>4</sub> fluxes had a curvilinear response to increasing RR rate, with emissions increasing sharply from 0 (R0) to 10 Mg/ha (R10) and then declining at an RR rate of 15 Mg/ha (R15). The methane fluxes were the lowest mean value of 1.5 &#x003BC;g C kg<sup>&#x02212;1</sup> soil in the treatment, receiving RR rate of 15 Mg/ha in both the soil moisture content and averaged across nutrient management (<xref ref-type="fig" rid="F6">Figure 6</xref>).</p>
<fig id="F6" position="float">
<label>Figure 6</label>
<caption><p>The response of CH<sub>4</sub> fluxes (&#x003BC;g C kg<sup>&#x02212;1</sup> soil) to different application rates of wheat residue (R0: &#x00040; 0 Mg/ha; R5: &#x00040; 5 Mg/ha, R10: &#x00040; 10 Mg/ha, and R15: &#x00040; 15 Mg/ha) under 80 and 100% FC across nutrient management over116 days of incubation.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fsufs-08-1490523-g0006.tif"/>
</fig></sec>
<sec>
<title>3.4 Global warming potential</title>
<p>The interactive effects of RR rate, soil moisture, and nutrient management significantly influenced SOC mineralization (<xref ref-type="supplementary-material" rid="SM1">Supplementary Table S1</xref>). The interactive effect of R15 &#x0002B; NS2 at 100% FC was the highest (1656.82 mg CO<sub>2</sub> C eq. kg<sup>&#x02212;1</sup> soil), followed by R0 &#x0002B; NS2 at 100% FC (149.40 mg CO<sub>2</sub> C eq. kg<sup>&#x02212;1</sup> soil) (<xref ref-type="table" rid="T1">Table 1</xref>). Increasing wheat RR rates triggered the GWP across soil moisture and nutrient management and had a relatively lesser GWP at 80% FC compared with 100% FC (<xref ref-type="fig" rid="F5">Figure 5</xref>). The effect of soil moisture was inconsistent on GWP, for example, at 80% FC the GWP increased with application rates of wheat residue (R15 &#x0003E; R10 &#x0003E; R0); however, the RR rates were comparable at 100% FC (R5&#x02248;R10&#x02248;R15).</p></sec>
<sec>
<title>3.5 Post-incubation soil properties</title>
<p>The post-incubation labile soil carbon, soil microbial biomass, ammoniacal N (NH<sub>4</sub>-N), and alkaline phosphatase responded significantly to the interaction of wheat RR rate, soil moisture, and nutrient management except NO<sub>3</sub>-N (<xref ref-type="table" rid="T2">Table 2</xref>, <xref ref-type="supplementary-material" rid="SM1">Supplementary Table S1</xref>). With treatment, receiving R15&#x0002B;NS2 at 80% FC had the highest labile soil C (528.87 mg C kg<sup>&#x02212;1</sup>) and the lowest in R0 &#x0002B; NS0 at 100% FC (323.29 mg C kg<sup>&#x02212;1</sup>). Higher rates of wheat RR significantly reduced the soil NO<sub>3</sub>-N by 1.55 times and 2.49 times at R10 and R15 compared to R0 and R5. Contrarily, the concentration increased with increasing soil moisture and nitrogen input. The interactive effect of R5 &#x0002B; NS1 at 100% FC (50.58 mg N Kg<sup>&#x02212;1</sup>) was the highest, and R15 &#x0002B; NS0 at 80% FC (6.80 mg N kg-1) was the lowest on soil NO<sub>3</sub>-N. In contrast, soil NH<sub>4</sub>-N and SMBC increased significantly with increasing wheat RR, the order being R15&#x0003E;R10&#x0003E;R5&#x0003E;R0 (NH<sub>4</sub>-N) R10&#x0003E; R15&#x02248;R5&#x0003E; R0 (SMBC), and increasing soil moisture and nutrient concentration decreased NH<sub>4</sub>-N. The interactive effect of R5 &#x0002B; NS0 at 100% FC (39.31 mg N Kg<sup>&#x02212;1</sup>) was the highest, and R5 &#x0002B; NS1 at 80% FC (1.63 mg N kg<sup>&#x02212;1</sup>) was the lowest on soil NH<sub>4</sub>-N. In contrast, with increasing wheat RR, NS, and soil moisture, the SMBC increased significantly, the order being R10&#x0003E; R15&#x02248;, R5&#x0003E; R0, FC100&#x0003E; FC80, and NS1&#x0003E;NS2&#x0003E; NS0. The highest SMBC was in treatment R5 &#x0002B; NS1 at FC100 (1,503.01 mg kg<sup>&#x02212;1</sup>) and the lowest in R5 &#x0002B; NS0 at FC 80 (299.37 mg kg<sup>&#x02212;1</sup>). The alkaline phosphatase activity was higher in wheat RR treatments at 80% FC with NS1 compared with R0 NS0 at 100% FC.</p>
<table-wrap position="float" id="T2">
<label>Table 2</label>
<caption><p>Effect of varied residue return (RR) and nutrient input (NSL) on relevant post incubation soil properties under different soil moisture content after 116 days of incubation.</p></caption>
<table frame="box" rules="all">
<thead>
<tr style="background-color:#919498;color:#ffffff">
<th valign="top" align="left"><bold>RR rate</bold></th>
<th valign="top" align="left"><bold>Soil moisture</bold></th>
<th valign="top" align="left"><bold>Nutrient management</bold></th>
<th valign="top" align="left" colspan="2"><bold>Labile C (mg kg</bold><sup><bold>&#x02212;1</bold></sup> <bold>soil)</bold></th>
<th valign="top" align="left" colspan="2"><bold>SMBC (mg kg</bold><sup><bold>&#x02212;1</bold></sup> <bold>soil)</bold></th>
<th valign="top" align="left" colspan="2"><bold>NO</bold><sub><bold>3</bold></sub><bold>-N (mg kg</bold><sup><bold>&#x02212;1</bold></sup> <bold>soil)</bold></th>
<th valign="top" align="left" colspan="2"><bold>NH</bold><sub><bold>4</bold></sub><bold>-N (mg kg</bold><sup><bold>&#x02212;1</bold></sup> <bold>soil)</bold></th>
<th valign="top" align="left" colspan="2"><bold>Alk-PO</bold><sub><bold>4</bold></sub> <bold>(</bold>&#x003BC;<bold>g P-nitrophenol/g soil/hr)</bold></th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">R0</td>
<td valign="top" align="left">FC100</td>
<td valign="top" align="left">NS0</td>
<td valign="top" align="left">323.29</td>
<td valign="top" align="left">l</td>
<td valign="top" align="left">398.20</td>
<td valign="top" align="left">ijk</td>
<td valign="top" align="left">20.93</td>
<td valign="top" align="left">cdefg</td>
<td valign="top" align="left">13.72</td>
<td valign="top" align="left">bcde</td>
<td valign="top" align="left">27.36</td>
<td valign="top" align="left">i</td>
</tr> <tr>
<td valign="top" align="left">R0</td>
<td valign="top" align="left">FC100</td>
<td valign="top" align="left">NS1</td>
<td valign="top" align="left">337.76</td>
<td valign="top" align="left">kl</td>
<td valign="top" align="left">641.29</td>
<td valign="top" align="left">fghij</td>
<td valign="top" align="left">24.42</td>
<td valign="top" align="left">cdef</td>
<td valign="top" align="left">5.15</td>
<td valign="top" align="left">de</td>
<td valign="top" align="left">42.42</td>
<td valign="top" align="left">i</td>
</tr> <tr>
<td valign="top" align="left">R0</td>
<td valign="top" align="left">FC100</td>
<td valign="top" align="left">NS2</td>
<td valign="top" align="left">338.57</td>
<td valign="top" align="left">kl</td>
<td valign="top" align="left">447.23</td>
<td valign="top" align="left">ijk</td>
<td valign="top" align="left">32.68</td>
<td valign="top" align="left">bcd</td>
<td valign="top" align="left">5.62</td>
<td valign="top" align="left">de</td>
<td valign="top" align="left">26.07</td>
<td valign="top" align="left">i</td>
</tr> <tr>
<td valign="top" align="left">R0</td>
<td valign="top" align="left">FC80</td>
<td valign="top" align="left">NS0</td>
<td valign="top" align="left">426.54</td>
<td valign="top" align="left">fghi</td>
<td valign="top" align="left">418.53</td>
<td valign="top" align="left">ijk</td>
<td valign="top" align="left">28.15</td>
<td valign="top" align="left">bcde</td>
<td valign="top" align="left">3.14</td>
<td valign="top" align="left">de</td>
<td valign="top" align="left">130.98</td>
<td valign="top" align="left">fgh</td>
</tr> <tr>
<td valign="top" align="left">R0</td>
<td valign="top" align="left">FC80</td>
<td valign="top" align="left">NS1</td>
<td valign="top" align="left">422.57</td>
<td valign="top" align="left">ghi</td>
<td valign="top" align="left">613.82</td>
<td valign="top" align="left">fghij</td>
<td valign="top" align="left">33.65</td>
<td valign="top" align="left">bc</td>
<td valign="top" align="left">11.58</td>
<td valign="top" align="left">cde</td>
<td valign="top" align="left">246.09</td>
<td valign="top" align="left">bcd</td>
</tr> <tr>
<td valign="top" align="left">R0</td>
<td valign="top" align="left">FC80</td>
<td valign="top" align="left">NS2</td>
<td valign="top" align="left">419.86</td>
<td valign="top" align="left">ghi</td>
<td valign="top" align="left">489.40</td>
<td valign="top" align="left">hijk</td>
<td valign="top" align="left">39.37</td>
<td valign="top" align="left">ab</td>
<td valign="top" align="left">23.44</td>
<td valign="top" align="left">bc</td>
<td valign="top" align="left">86.33</td>
<td valign="top" align="left">ghi</td>
</tr> <tr>
<td valign="top" align="left">R5</td>
<td valign="top" align="left">FC100</td>
<td valign="top" align="left">NS0</td>
<td valign="top" align="left">352.53</td>
<td valign="top" align="left">k</td>
<td valign="top" align="left">775.74</td>
<td valign="top" align="left">efgh</td>
<td valign="top" align="left">33.10</td>
<td valign="top" align="left">bc</td>
<td valign="top" align="left">5.62</td>
<td valign="top" align="left">de</td>
<td valign="top" align="left">30.91</td>
<td valign="top" align="left">i</td>
</tr> <tr>
<td valign="top" align="left">R5</td>
<td valign="top" align="left">FC100</td>
<td valign="top" align="left">NS1</td>
<td valign="top" align="left">348.42</td>
<td valign="top" align="left">k</td>
<td valign="top" align="left">1,503.01</td>
<td valign="top" align="left">ab</td>
<td valign="top" align="left">50.59</td>
<td valign="top" align="left">a</td>
<td valign="top" align="left">4.15</td>
<td valign="top" align="left">de</td>
<td valign="top" align="left">39.18</td>
<td valign="top" align="left">i</td>
</tr> <tr>
<td valign="top" align="left">R5</td>
<td valign="top" align="left">FC100</td>
<td valign="top" align="left">NS2</td>
<td valign="top" align="left">354.36</td>
<td valign="top" align="left">k</td>
<td valign="top" align="left">1,033.17</td>
<td valign="top" align="left">cde</td>
<td valign="top" align="left">48.42</td>
<td valign="top" align="left">a</td>
<td valign="top" align="left">3.49</td>
<td valign="top" align="left">de</td>
<td valign="top" align="left">54.24</td>
<td valign="top" align="left">hi</td>
</tr> <tr>
<td valign="top" align="left">R5</td>
<td valign="top" align="left">FC80</td>
<td valign="top" align="left">NS0</td>
<td valign="top" align="left">459.93</td>
<td valign="top" align="left">cd</td>
<td valign="top" align="left">299.38</td>
<td valign="top" align="left">bk</td>
<td valign="top" align="left">12.01</td>
<td valign="top" align="left">fghi</td>
<td valign="top" align="left">39.32</td>
<td valign="top" align="left">a</td>
<td valign="top" align="left">283.80</td>
<td valign="top" align="left">bc</td>
</tr> <tr>
<td valign="top" align="left">R5</td>
<td valign="top" align="left">FC80</td>
<td valign="top" align="left">NS1</td>
<td valign="top" align="left">467.15</td>
<td valign="top" align="left">c</td>
<td valign="top" align="left">357.40</td>
<td valign="top" align="left">jk</td>
<td valign="top" align="left">20.32</td>
<td valign="top" align="left">cdefgh</td>
<td valign="top" align="left">1.63</td>
<td valign="top" align="left">e</td>
<td valign="top" align="left">220.29</td>
<td valign="top" align="left">bcde</td>
</tr> <tr>
<td valign="top" align="left">R5</td>
<td valign="top" align="left">FC80</td>
<td valign="top" align="left">NS2</td>
<td valign="top" align="left">444.77</td>
<td valign="top" align="left">def</td>
<td valign="top" align="left">355.07</td>
<td valign="top" align="left">jk</td>
<td valign="top" align="left">19.33</td>
<td valign="top" align="left">defghi</td>
<td valign="top" align="left">12.48</td>
<td valign="top" align="left">bcde</td>
<td valign="top" align="left">184.57</td>
<td valign="top" align="left">def</td>
</tr> <tr>
<td valign="top" align="left">R10</td>
<td valign="top" align="left">FC100</td>
<td valign="top" align="left">NS0</td>
<td valign="top" align="left">411.16</td>
<td valign="top" align="left">i</td>
<td valign="top" align="left">1,107.91</td>
<td valign="top" align="left">cd</td>
<td valign="top" align="left">17.03</td>
<td valign="top" align="left">efghi</td>
<td valign="top" align="left">5.55</td>
<td valign="top" align="left">de</td>
<td valign="top" align="left">38.86</td>
<td valign="top" align="left">i</td>
</tr> <tr>
<td valign="top" align="left">R10</td>
<td valign="top" align="left">FC100</td>
<td valign="top" align="left">NS1</td>
<td valign="top" align="left">389.99</td>
<td valign="top" align="left">j</td>
<td valign="top" align="left">1,343.86</td>
<td valign="top" align="left">ac</td>
<td valign="top" align="left">17.35</td>
<td valign="top" align="left">efghi</td>
<td valign="top" align="left">7.36</td>
<td valign="top" align="left">de</td>
<td valign="top" align="left">33.19</td>
<td valign="top" align="left">i</td>
</tr> <tr>
<td valign="top" align="left">R10</td>
<td valign="top" align="left">FC100</td>
<td valign="top" align="left">NS2</td>
<td valign="top" align="left">408.41</td>
<td valign="top" align="left">ij</td>
<td valign="top" align="left">825.86</td>
<td valign="top" align="left">defg</td>
<td valign="top" align="left">25.62</td>
<td valign="top" align="left">cde</td>
<td valign="top" align="left">2.23</td>
<td valign="top" align="left">de</td>
<td valign="top" align="left">23.83</td>
<td valign="top" align="left">i</td>
</tr> <tr>
<td valign="top" align="left">R10</td>
<td valign="top" align="left">FC80</td>
<td valign="top" align="left">NS0</td>
<td valign="top" align="left">416.07</td>
<td valign="top" align="left">hi</td>
<td valign="top" align="left">526.81</td>
<td valign="top" align="left">ghijk</td>
<td valign="top" align="left">19.19</td>
<td valign="top" align="left">efghi</td>
<td valign="top" align="left">22.43</td>
<td valign="top" align="left">bc</td>
<td valign="top" align="left">141.90</td>
<td valign="top" align="left">efg</td>
</tr> <tr>
<td valign="top" align="left">R10</td>
<td valign="top" align="left">FC80</td>
<td valign="top" align="left">NS1</td>
<td valign="top" align="left">430.69</td>
<td valign="top" align="left">efgh</td>
<td valign="top" align="left">580.19</td>
<td valign="top" align="left">ghijk</td>
<td valign="top" align="left">15.45</td>
<td valign="top" align="left">efghi</td>
<td valign="top" align="left">24.24</td>
<td valign="top" align="left">bc</td>
<td valign="top" align="left">258.00</td>
<td valign="top" align="left">bcd</td>
</tr> <tr>
<td valign="top" align="left">R10</td>
<td valign="top" align="left">FC80</td>
<td valign="top" align="left">NS2</td>
<td valign="top" align="left">449.46</td>
<td valign="top" align="left">cde</td>
<td valign="top" align="left">600.22</td>
<td valign="top" align="left">ghijk</td>
<td valign="top" align="left">20.97</td>
<td valign="top" align="left">cdefg</td>
<td valign="top" align="left">23.24</td>
<td valign="top" align="left">bc</td>
<td valign="top" align="left">450.51</td>
<td valign="top" align="left">a</td>
</tr> <tr>
<td valign="top" align="left">R15</td>
<td valign="top" align="left">FC100</td>
<td valign="top" align="left">NS0</td>
<td valign="top" align="left">446.79</td>
<td valign="top" align="left">de</td>
<td valign="top" align="left">376.70</td>
<td valign="top" align="left">ijk</td>
<td valign="top" align="left">9.42</td>
<td valign="top" align="left">ghi</td>
<td valign="top" align="left">14.72</td>
<td valign="top" align="left">bcd</td>
<td valign="top" align="left">28.01</td>
<td valign="top" align="left">i</td>
</tr> <tr>
<td valign="top" align="left">R15</td>
<td valign="top" align="left">FC100</td>
<td valign="top" align="left">NS1</td>
<td valign="top" align="left">416.33</td>
<td valign="top" align="left">hi</td>
<td valign="top" align="left">916.09</td>
<td valign="top" align="left">def</td>
<td valign="top" align="left">10.98</td>
<td valign="top" align="left">ghi</td>
<td valign="top" align="left">4.82</td>
<td valign="top" align="left">de</td>
<td valign="top" align="left">16.51</td>
<td valign="top" align="left">i</td>
</tr> <tr>
<td valign="top" align="left">R15</td>
<td valign="top" align="left">FC100</td>
<td valign="top" align="left">NS2</td>
<td valign="top" align="left">438.26</td>
<td valign="top" align="left">efgh</td>
<td valign="top" align="left">1,260.53</td>
<td valign="top" align="left">ac</td>
<td valign="top" align="left">20.76</td>
<td valign="top" align="left">cdefg</td>
<td valign="top" align="left">8.14</td>
<td valign="top" align="left">de</td>
<td valign="top" align="left">18.65</td>
<td valign="top" align="left">i</td>
</tr> <tr>
<td valign="top" align="left">R15</td>
<td valign="top" align="left">FC80</td>
<td valign="top" align="left">NS0</td>
<td valign="top" align="left">505.95</td>
<td valign="top" align="left">b</td>
<td valign="top" align="left">398.62</td>
<td valign="top" align="left">ijk</td>
<td valign="top" align="left">6.80</td>
<td valign="top" align="left">i</td>
<td valign="top" align="left">23.24</td>
<td valign="top" align="left">bc</td>
<td valign="top" align="left">301.66</td>
<td valign="top" align="left">b</td>
</tr> <tr>
<td valign="top" align="left">R15</td>
<td valign="top" align="left">FC80</td>
<td valign="top" align="left">NS1</td>
<td valign="top" align="left">528.87</td>
<td valign="top" align="left">a</td>
<td valign="top" align="left">677.73</td>
<td valign="top" align="left">fghi</td>
<td valign="top" align="left">7.40</td>
<td valign="top" align="left">hi</td>
<td valign="top" align="left">25.05</td>
<td valign="top" align="left">b</td>
<td valign="top" align="left">225.25</td>
<td valign="top" align="left">bcd</td>
</tr> <tr>
<td valign="top" align="left">R15</td>
<td valign="top" align="left">FC80</td>
<td valign="top" align="left">NS2</td>
<td valign="top" align="left">526.52</td>
<td valign="top" align="left">a</td>
<td valign="top" align="left">368.40</td>
<td valign="top" align="left">ijk</td>
<td valign="top" align="left">16.55</td>
<td valign="top" align="left">efghi</td>
<td valign="top" align="left">23.44</td>
<td valign="top" align="left">bc</td>
<td valign="top" align="left">203.42</td>
<td valign="top" align="left">cdef</td>
</tr></tbody>
</table>
<table-wrap-foot>
<p>Soil moisture (FC80: 80% FC and FC100: 100% FC), RR rate (R0: &#x00040; 0 Mg/ha; R5: &#x00040; 5 Mg/ha, R10: &#x00040; 10 Mg/ha, and R15: &#x00040; 15 Mg/ha), and nutrient management (NS0: no nutrient; NS1, NS2= 3x NS1). Nutrient input (N and P) in NS1 balanced the residue C/nutrient stoichiometry to achieve 30% stabilization of the residue C input in RR (R5); SMBC, soil microbial biomass carbon; Alk-PO<sub>4</sub>, alkaline phosphatase.</p>
</table-wrap-foot>
</table-wrap>
<p>The Pearson correlation analysis was carried out to explore the relationship between GHG emissions and the PLS model predictor variables. Pearson correlation (<xref ref-type="fig" rid="F7">Figure 7</xref>) showed a significant (<italic>p</italic> &#x02264; 0.01) positive correlation between N<sub>2</sub>O and N input, NO<sub>3</sub>-N, and SMBC, whereas nutrient stoichiometry of C: N and C: P was negative. However, CH<sub>4</sub> was only correlated with NO<sub>3</sub>-N (<italic>p</italic> &#x02264; 0.05). Post-incubation soil properties viz., SMBC, labile C, and management variables (RR rate, N input, and nutrient addition altering the nutrient stoichiometry of C: N) were significantly (<italic>p</italic> &#x02264; 0.01) positively correlated with CO<sub>2</sub> and GWP, whereas NO<sub>3</sub>-N was negative. The PLS model for GHG emissions extracted two factors from the data matrix that explained 55.49% of the cumulative predictor (X) variance and 38.34% of GHG (Y) responses (<xref ref-type="supplementary-material" rid="SM1">Supplementary Table S2</xref>). The factor loading plot (<xref ref-type="supplementary-material" rid="SM1">Supplementary Figure S3</xref>) and the relative importance of predictor variables (<xref ref-type="fig" rid="F8">Figure 8</xref>) in the partial least square (PLS) model indicated that N<sub>2</sub>O emission was more responsive (values &#x0003E;0.8) to management variables (RR rate, nitrogen (N) input rate, soil moisture, and nutrient stoichiometry of C: N) and post-incubation soil properties (SMBC and NO<sub>3</sub>-N) in Alfisols. The ranking of the variables important for the projection of GHG fluxes in the Alfisols was as follows: RR rate &#x0003E; N input &#x0003E; soil moisture &#x0003E; NO<sub>3</sub>-N &#x0003E; SMBC &#x0003E; C: N &#x0003E; Alk.PO<sub>4</sub> &#x0003E; C: P&#x0003E; labile C &#x0003E; NH<sub>4</sub>-N. The model performance was significant (<italic>p</italic> &#x0003C; 0.05) for the estimation of all three GHGs; however, the model was most effective for the estimation of CO<sub>2</sub> (r<sup>2</sup> = 0.83) followed by N<sub>2</sub>O (r<sup>2</sup> = 0.54) and CH<sub>4</sub> (r<sup>2</sup> = 0.17) (<xref ref-type="supplementary-material" rid="SM1">Supplementary Figure S4</xref>).</p><fig id="F7" position="float">
<label>Figure 7</label>
<caption><p>Pearson correlation between observed variables (labile soil carbon, soil microbial biomass, nitrate N: NO<sub>3</sub>-N; ammoniacal N: NH<sub>4</sub>-N, and alkaline phosphatase) and responses (CO<sub>2</sub>, CH<sub>4</sub>, N<sub>2</sub>O, and GWP), C: N: ratio of carbon and nitrogen; C: P: ratio of carbon and phosphorus.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fsufs-08-1490523-g0007.tif"/>
</fig>
<fig id="F8" position="float">
<label>Figure 8</label>
<caption><p>Variable importance of predictors based on partial least square modeling for the effect of management practices and related soil properties on GHG emission. NO<sub>3</sub>-N: Nitrate N; NH<sub>4</sub>-N: ammoniacal N; Alk.PO<sub>4</sub>: alkaline phosphatase; SMBC: soil microbial biomass carbon; RR rate: wheat residue return rate; C: N: stoichiometry of residue C to N input/soil C to N; C: P: stoichiometry of residue C to P input/soil C to P.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fsufs-08-1490523-g0008.tif"/>
</fig></sec>
</sec>
<sec sec-type="discussion" id="s4">
<title>4 Discussion</title>
<sec>
<title>4.1 Soil carbon mineralization</title>
<p>In this study, we aimed to mimic wet (100% FC) and optimum (80% FC) soil moisture in GHG emissions from increasing wheat residue inputs (RR rate 0, 5, 10, and 15 Mg/ha) under three different nutrient management (NS0, NS1, NS2) in Alfisols. The study elucidates the intricate mechanisms underlying carbon mineralization and its interaction with RR rates, soil moisture, and nutrient management. Carbon mineralization, the process of converting organic carbon to carbon dioxide, is primarily driven by microbial activity in soil ecosystems (Lenka et al., <xref ref-type="bibr" rid="B29">2019</xref>). The highest carbon mineralization observed in the treatment with R15 &#x0002B; NS2 at 100% FC suggests that high residue input and nutrient availability significantly enhance microbial activity and soil CO<sub>2</sub> fluxes. The positive correlation observed between RR rate and labile C (p &#x0003C;=0.001) and CO<sub>2</sub> and labile C (p &#x0003C;=0.001) justifies that labile C from decomposing crop residues might have provided an immediate and accessible energy source for soil microbes (Lenka et al., <xref ref-type="bibr" rid="B26">2022</xref>). That boosted microbial respiration and overall activity as they decompose the organic matter.</p>
<p>In a study, Fairbairn et al. (<xref ref-type="bibr" rid="B9">2023</xref>) reported a bell-shaped relationship between soil moisture and CO<sub>2</sub> fluxes. This effect is strongly supported by the results obtained in our study, which showed the highest soil carbon mineralization at 80% FC (Ca. 100% FC) after 116 days of incubation. Soil moisture modulated the functional relationship of carbon mineralization to wheat RR rates. The curvilinear response to RR rates at 100% FC indicates that moderate moisture content (80% FC) would be ideal for microbial activity and decomposition, whereas excessive moisture (100% FC) and high RR rate (R15) may lead to anaerobic conditions, inhibiting these processes (Liu et al., <xref ref-type="bibr" rid="B33">2019</xref>). Our experiment results agree with previous studies that have reported decreased carbon mineralization under excess soil moisture content and organic input (Unger et al., <xref ref-type="bibr" rid="B45">2010</xref>; Korkiakoski et al., <xref ref-type="bibr" rid="B21">2022</xref>; Fairbairn et al., <xref ref-type="bibr" rid="B9">2023</xref>). There could be a few possible explanations for these responses to carbon mineralization; firstly, high soil moisture content and residue input could inhibit the diffusion of O<sub>2</sub> and CO<sub>2</sub> (Fairbairn et al., <xref ref-type="bibr" rid="B9">2023</xref>), secondly decreased soil NO<sub>3</sub>-N and its negative correlation with CO<sub>2</sub> fluxes (<xref ref-type="fig" rid="F7">Figure 7</xref>) (Unger et al., <xref ref-type="bibr" rid="B45">2010</xref>) and third the decomposing crop residue input might have triggered O<sub>2</sub> depletion (Lussich et al., <xref ref-type="bibr" rid="B36">2024</xref>) that inhibit microbial activity and decomposition. However, a linear relationship was observed between carbon mineralization and RR rates at 80% FC indicating moderate moisture content could be optimum for maximal microbial activity at all RR rates, as commonly reported (Fairbairn et al., <xref ref-type="bibr" rid="B9">2023</xref>).</p>
<p>At low RR rates (R0 and R5), the addition of nutrients did not significantly influence carbon mineralization. This could be attributed to the limited availability of substrate for microbial activity. The microbial community might not experience sufficient stimulation with zero or minimal organic inputs, thereby rendering nutrient additions ineffective in altering mineralization rates (Li et al., <xref ref-type="bibr" rid="B32">2021</xref>). However, at an intermediate RR rate (R10), a decrease in carbon mineralization with nutrient supplementation was observed. This could be due to nutrient-induced microbial immobilization (<xref ref-type="table" rid="T2">Table 2</xref>). When nutrients are readily available, microbes might prioritize biomass growth over respiration, leading to lower CO<sub>2</sub> release from mineralization (Singh et al., <xref ref-type="bibr" rid="B43">2024</xref>). Carbon mineralization increased with nutrient input at the highest RR rate (R15). This suggested that the microbial community becomes substrate-limited rather than nutrient-limited at high substrate levels. Supplementary nutrients can enhance microbial activity and decomposition, producing higher CO<sub>2</sub> emissions (Fang et al., <xref ref-type="bibr" rid="B12">2018b</xref>). Our results align with previous studies highlighting the importance of balancing carbon and nutrient inputs to optimize soil carbon dynamics and microbial activity (Lai et al., <xref ref-type="bibr" rid="B24">2017</xref>). For instance, studies have shown that labile carbon inputs can significantly enhance microbial respiration and nutrient cycling, particularly when supported by adequate nutrient availability (Lan et al., <xref ref-type="bibr" rid="B25">2017</xref>). Post incubation soil results further supported responses of soil carbon mineralization that treatments with higher RR and balanced moisture and nutrient inputs (R15 at 80% FC and NS2) showed the highest labile carbon and microbial biomass, essential for soil fertility and microbial functions.</p></sec>
<sec>
<title>4.2 N<sub>2</sub>O emission</title>
<p>In line with previous studies (Abalos et al., <xref ref-type="bibr" rid="B1">2022a</xref>; Khoshru et al., <xref ref-type="bibr" rid="B19">2023</xref>; Korkiakoski et al., <xref ref-type="bibr" rid="B21">2022</xref>; Liu et al., <xref ref-type="bibr" rid="B33">2019</xref>; Liyanage et al., <xref ref-type="bibr" rid="B35">2020</xref>; Mathivanan et al., <xref ref-type="bibr" rid="B37">2021</xref>; Xu et al., <xref ref-type="bibr" rid="B50">2019</xref>), we found a significant stimulation of soil N<sub>2</sub>O emission following the application of high residues return, nutrient supplement, and soil moisture (R15 &#x0002B; NS2 at 100% FC, 49.82 &#x003BC;g N kg<sup>&#x02212;1</sup> soil) could be attributed to enhanced microbial activity and denitrification processes under wetter conditions (Mehnaz et al., <xref ref-type="bibr" rid="B38">2019</xref>; Liu et al., <xref ref-type="bibr" rid="B34">2021</xref>). The linear response of N<sub>2</sub>O emissions toward RR rates at 100% FC (y = 0.4364x &#x0002B; 15.463, R<sup>2</sup> = 0.47) suggests that higher residue inputs directly contribute to greater N<sub>2</sub>O emissions due to increased substrate availability for microbial processes. In contrast, the quadratic response observed at 80% FC (y = 0.0167x<sup>2</sup> - 0.8971x &#x0002B; 20.68, R<sup>2</sup> = 0.63) indicates that moderate residue (R10) return may optimize conditions for N<sub>2</sub>O production, whereas excessively high or low residue inputs are favorable for N<sub>2</sub>O consumption. Averaged across soil moisture and RR rate carbon nutrient stoichiometry (C: N and C: P) further amplified N<sub>2</sub>O fluxes, with NS2 treatments showing the highest emissions (27.26 &#x003BC;g N kg<sup>&#x02212;1</sup> soil) compared to NS1 (15.77 &#x003BC;g N kg<sup>&#x02212;1</sup> soil) and NS0 (8.64 &#x003BC;g N kg<sup>&#x02212;1</sup> soil). This effect is consistent with studies reporting lowering carbon nutrient stoichiometry removed microbial nutrient limitation, stimulating nitrification and denitrification processes, leading to increased N<sub>2</sub>O production (Mehnaz et al., <xref ref-type="bibr" rid="B38">2019</xref>; Liyanage et al., <xref ref-type="bibr" rid="B35">2020</xref>; Li et al., <xref ref-type="bibr" rid="B32">2021</xref>). Post-incubation analyses revealed a reduction in nitrate (NO<sub>3</sub>-N) levels with high RR and nutrient stoichiometry could be attributed to increased microbial immobilization, while ammonium (NH<sub>4</sub>-N) concentrations rise, indicating shifts in nitrogen forms during decomposition (Kumar et al., <xref ref-type="bibr" rid="B23">2018</xref>; Lenka et al., <xref ref-type="bibr" rid="B28">2021</xref>; Khoshru et al., <xref ref-type="bibr" rid="B19">2023</xref>) resulting in the lowest N<sub>2</sub>O emission in R15 &#x0002B; 80% FC &#x0002B; NS1 (2.85 &#x003BC;g N kg<sup>&#x02212;1</sup> soil). Conversely, the increase in NH<sub>4</sub>-N and SMBC with higher RR and moisture levels indicates that these conditions favor ammonification and microbial biomass growth (Fang et al., <xref ref-type="bibr" rid="B11">2020</xref>). The highest SMBC was recorded in the R5&#x0002B;NS1 treatment at 100% FC (1,503.01 mg kg<sup>&#x02212;1</sup>), emphasizing the importance of balanced residue and nutrient management for maintaining soil microbial health (Mehnaz et al., <xref ref-type="bibr" rid="B38">2019</xref>). The positive correlations observed between N<sub>2</sub>O emissions and SMBC, NO<sub>3</sub>-N, and N input highlight the interconnectedness of microbial processes, nitrogen cycling, and GHG emissions (Yang et al., <xref ref-type="bibr" rid="B51">2022</xref>). Additionally, the significant negative correlation between nutrient stoichiometry (C: N and C: P) and N<sub>2</sub>O emission supported our results of the lowest N<sub>2</sub>O emission in treatment R15 &#x0002B; 80% FC &#x0002B; NS1 (C: N &#x0003E;12:1 and C: P &#x0003E; 50:1). The variable importance plot from the partial least square (PLS) model further underscores the significant influence of nutrient stoichiometry (C: N and C: P), N input, soil microbial biomass, soil mineral N (NO<sub>3</sub>-N and NH<sub>4</sub>-N), on soil N<sub>2</sub>O emissions.</p></sec>
<sec>
<title>4.3 CH<sub>4</sub> emission</title>
<p>Our results showed that a combination of a low RR rate (&#x00040;5 Mg/ha) and high soil moisture (100% FC) significantly increased the cumulative CH<sub>4</sub> fluxes compared with a high RR rate (R10, R15) and medium soil moisture (80% FC) with high nutrient input (NS2), This indicates a non-linear response of CH<sub>4</sub> emissions to residue application rates (<xref ref-type="fig" rid="F6">Figure 6</xref>), with emissions initially increasing and then decreasing at higher RR. The curvilinear trend at 80% FC suggests that intermediate levels of RR may create conditions that enhance methanogenic activity (Bhattacharyya et al., <xref ref-type="bibr" rid="B5">2012</xref>), likely due to optimal substrate availability and microbial activity, consistent with findings from other studies that show similar non-linear patterns in GHG emissions from soil residue management (Yang et al., <xref ref-type="bibr" rid="B51">2022</xref>; Singh et al., <xref ref-type="bibr" rid="B43">2024</xref>). The study&#x00027;s findings are underpinned by several key mechanisms. The response of CH<sub>4</sub> fluxes to RR suggests a balance between methanogenesis and methanotrophy, regulated by substrate availability and soil moisture (Liu et al., <xref ref-type="bibr" rid="B34">2021</xref>; Korkiakoski et al., <xref ref-type="bibr" rid="B21">2022</xref>; Yang et al., <xref ref-type="bibr" rid="B51">2022</xref>; Khoshru et al., <xref ref-type="bibr" rid="B19">2023</xref>). High RR may initially promote methanogenesis by providing substrates, but excessive residue might create anaerobic conditions less favorable for methanotrophy, explaining the decline in CH<sub>4</sub> emissions at higher RR rates (Battaglia et al., <xref ref-type="bibr" rid="B4">2022</xref>; Yang et al., <xref ref-type="bibr" rid="B51">2022</xref>). The significant correlation of CH<sub>4</sub> emission with soil NO<sub>3</sub>-N further supports the results of lesser emission at a high RR rate (R10 and R15) because the RR rate was negatively correlated with NO<sub>3</sub>-N (<xref ref-type="fig" rid="F7">Figure 7</xref>).</p></sec>
<sec>
<title>4.4 Global warming potential</title>
<p>The PLS model revealed that soil management factors (RR rate, nitrogen (N) input rate, and soil moisture) were more important than the post-incubation soil properties as all of them reached the threshold of 0.8 (Jiang et al., <xref ref-type="bibr" rid="B16">2023</xref>). Therefore, a significant increase in GWP with high RR and nutrient input at 100% field capacity (FC) enhanced SOC mineralization (<xref ref-type="fig" rid="F1">Figure 1</xref>), while lower residue and nutrient inputs at 100% FC showed the lowest mineralization. Increasing wheat RR rates generally increased GWP, particularly at higher soil moisture levels (100% FC), due to enhanced microbial activity and decomposition of organic (Abalos et al., <xref ref-type="bibr" rid="B2">2022b</xref>). Our results showed a significant (<italic>p</italic> &#x02264; 0.001) positive correlation between RR rate, N input, SMBC, and soil moisture with GWP, further supporting enhanced GWP with RR. Previous studies corroborate these findings, showing that soil moisture content and nutrient availability critically influence the magnitude of GWP by affecting microbial processes involved in GHG production (Pareja-S&#x000E1;nchez et al., <xref ref-type="bibr" rid="B41">2019</xref>; Abalos et al., <xref ref-type="bibr" rid="B1">2022a</xref>; Battaglia et al., <xref ref-type="bibr" rid="B4">2022</xref>; Mirzaei et al., <xref ref-type="bibr" rid="B39">2022</xref>; Jiang et al., <xref ref-type="bibr" rid="B16">2023</xref>). Therefore, our results underscore the need to optimize crop RR rate with soil moisture and residue C/nutrient stoichiometry for reduced GHG emissions. Managing these factors can optimize residue management practices to mitigate climate change impacts while enhancing soil health and productivity. Researchers and farmers can use nutrient stoichiometry (C: N balance) to fine-tune nitrogen and phosphorus inputs, maximizing residue stabilization while controlling N<sub>2</sub>O fluxes. This can lead to more efficient fertilizer use, reducing environmental impacts and costs. The results highlighted the importance of integrating soil moisture and nutrient inputs in residue management guidelines, providing a framework for policymakers to develop strategies for climate-smart agriculture. We recommend further studies to explore site-specific residue management practices, particularly under varying climatic and soil conditions, to enhance their effectiveness in reducing greenhouse gas emissions. Future research should focus on long-term field studies to validate these findings and develop practical guidelines for sustainable residue management.</p></sec></sec>
<sec sec-type="conclusions" id="s5">
<title>5 Conclusions</title>
<p>Post-incubation soil properties such as labile soil carbon, soil microbial biomass carbon (SMBC), and soil mineral N (NO<sub>3</sub>-N and NH<sub>4</sub>-N) were significantly impacted by the interaction of wheat RR, soil moisture and nutrient input that, in turn, affected the differential responses of GHG emissions from Alfisols. Soil moisture altered the responses of GHG emissions to RR rate. Quadratic non-linear responses of N<sub>2</sub>O and CH<sub>4</sub> were observed at medium soil moisture content (80% FC) across nutrient management. The curvilinear response to RR rate at 100% FC indicates that moderate moisture content (80% FC) would be ideal for microbial activity and soil carbon mineralization. Nitrous oxide emissions were significantly influenced by soil moisture and nutrient management, with the highest fluxes recorded in the R15 &#x0002B; NS2 (C: N:: 12:1 and C: P:: 50:1) at 100% FC and the lowest in treatment receiving R15 &#x0002B; 80% FC &#x0002B; NS1 (C: N &#x0003E; 12:1 and C: P &#x0003E; 50:1). A strong positive correlation was found between N<sub>2</sub>O emissions and post-incubation soil properties, while CH<sub>4</sub> fluxes were mainly correlated with NO<sub>3</sub>-N. The relative variable importance analysis using the partial least squares (PLS) model identified the profound effect of RR rate followed by N input, soil moisture, NO<sub>3</sub>-N, SMBC, and nutrient stoichiometry C: N in estimating GHG emissions from Alfisols. This study underscores the intricate interactions between soil moisture, residue, and nutrient management in reducing GHG emissions and improving soil health, highlighting the need for optimized residue and nutrient input strategies to mitigate climate change impacts and enhance soil fertility in Alfisols.</p></sec>
</body>
<back>
<sec sec-type="data-availability" id="s6">
<title>Data availability statement</title>
<p>The original contributions presented in the study are included in the article/<xref ref-type="sec" rid="s10">Supplementary material</xref>, further inquiries can be directed to the corresponding author.</p>
</sec>
<sec sec-type="author-contributions" id="s7">
<title>Author contributions</title>
<p>DS: Writing &#x02013; original draft, Methodology, Investigation, Formal analysis. SL: Writing &#x02013; review &#x00026; editing, Writing &#x02013; original draft, Supervision, Project administration, Methodology, Funding acquisition, Conceptualization. NKL: Writing &#x02013; review &#x00026; editing, Resources, Investigation, Formal analysis. DKY: Data curation, Software, Writing &#x02013; original draft. SSY: Conceptualization, Supervision, Writing &#x02013; original draft. RSK: Writing &#x02013; review &#x00026; editing, Software, Formal analysis. AS: Writing &#x02013; original draft, Resources, Investigation. MS: Writing &#x02013; original draft, Software.</p>
</sec>
<sec sec-type="funding-information" id="s8">
<title>Funding</title>
<p>The author(s) declare financial support was received for the research, authorship, and/or publication of this article. This research was financially supported by the Science and Engineering Research Board, POWER Fellowship (Grant No. SPF/2020/000022) and the instrument from National Agricultural Science Fund of the Indian Council of Agricultural Research, New Delhi (Grant No. NASF/CA-7019/2018-19).</p>
</sec>
<ack><p>The Sangeeta Lenka expresses sincere gratitude to the USDA-Foreign Agricultural Service for granting the Scientific Exchange Program Fellowship on Climate Smart Agriculture. We gratefully acknowledge the editor&#x00027;s and reviewers&#x00027; invaluable contributions in shaping this research.</p>
</ack>
<sec sec-type="COI-statement" id="conf1">
<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 sec-type="disclaimer" id="s9">
<title>Publisher&#x00027;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 sec-type="supplementary-material" id="s10">
<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/fsufs.2024.1490523/full#supplementary-material">https://www.frontiersin.org/articles/10.3389/fsufs.2024.1490523/full#supplementary-material</ext-link></p>
<supplementary-material xlink:href="Data_Sheet_1.PDF" id="SM1" mimetype="application/pdf" xmlns:xlink="http://www.w3.org/1999/xlink"/></sec>
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