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<front>
<journal-meta>
<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>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.3389/fsufs.2024.1476292</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>Conservation agriculture enhances crop productivity and soil carbon fractions in Indo-Gangetic Plains of India</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes">
<name><surname>Mishra</surname> <given-names>Ajay Kumar</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="corresp" rid="c001"><sup>&#x002A;</sup></xref>
<uri xlink:href="https://loop.frontiersin.org/people/1852080/overview"/>
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<role content-type="https://credit.niso.org/contributor-roles/writing-original-draft/"/>
<role content-type="https://credit.niso.org/contributor-roles/resources/"/>
<role content-type="https://credit.niso.org/contributor-roles/methodology/"/>
<role content-type="https://credit.niso.org/contributor-roles/investigation/"/>
<role content-type="https://credit.niso.org/contributor-roles/formal-analysis/"/>
<role content-type="https://credit.niso.org/contributor-roles/conceptualization/"/>
</contrib>
<contrib contrib-type="author">
<name><surname>Shinjo</surname> <given-names>Hitoshi</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<role content-type="https://credit.niso.org/contributor-roles/writing-review-editing/"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-original-draft/"/>
</contrib>
<contrib contrib-type="author">
<name><surname>Jat</surname> <given-names>Hanuman Sahay</given-names></name>
<xref ref-type="aff" rid="aff3"><sup>3</sup></xref>
<role content-type="https://credit.niso.org/contributor-roles/writing-review-editing/"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-original-draft/"/>
</contrib>
<contrib contrib-type="author">
<name><surname>Jat</surname> <given-names>Mangi Lal</given-names></name>
<xref ref-type="aff" rid="aff4"><sup>4</sup></xref>
<role content-type="https://credit.niso.org/contributor-roles/writing-review-editing/"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-original-draft/"/>
</contrib>
<contrib contrib-type="author">
<name><surname>Kumar Jat</surname> <given-names>Raj</given-names></name>
<xref ref-type="aff" rid="aff5"><sup>5</sup></xref>
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</contrib>
<contrib contrib-type="author">
<name><surname>Funakawa</surname> <given-names>Shinya</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<role content-type="https://credit.niso.org/contributor-roles/writing-review-editing/"/>
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</contrib-group>
<aff id="aff1"><sup>1</sup><institution>Terrestrial Ecosystem Management Laboratory, Graduate School of Global Environmental Studies, Kyoto University</institution>, <addr-line>Kyoto</addr-line>, <country>Japan</country></aff>
<aff id="aff2"><sup>2</sup><institution>International Rice Research Institute South Asia Regional Centre</institution>, <addr-line>Varanasi, Uttar Pradesh</addr-line>, <country>India</country></aff>
<aff id="aff3"><sup>3</sup><institution>International Maize and Wheat Improvement Centre (CIMMYT), NASC Complex</institution>, <addr-line>Pusa New Delhi</addr-line>, <country>India</country></aff>
<aff id="aff4"><sup>4</sup><institution>International Crops Research Institute for the Semi-Arid Tropics</institution>, <addr-line>Patancheru, Telangana</addr-line>, <country>India</country></aff>
<aff id="aff5"><sup>5</sup><institution>Borlaug Institute of South Asia (BISA), International Maize and Wheat Improvement Center</institution>, <addr-line>Pusa, Bihar</addr-line>, <country>India</country></aff>
<author-notes>
<fn fn-type="edited-by" id="fn0001">
<p>Edited by: Johann G. Zaller, University of Natural Resources and Life Sciences Vienna, Austria</p>
</fn>
<fn fn-type="edited-by" id="fn0002">
<p>Reviewed by: Carlos A. Alexandre, University of Evora, Portugal</p>
<p>Vesna Vasi&#x0107;, Educons University, Serbia</p>
</fn>
<corresp id="c001">&#x002A;Correspondence: Ajay Kumar Mishra, <email>akm8cest@gmail.com</email>; <email>a.k.mishra@irri.org</email></corresp>
</author-notes>
<pub-date pub-type="epub">
<day>28</day>
<month>10</month>
<year>2024</year>
</pub-date>
<pub-date pub-type="collection">
<year>2024</year>
</pub-date>
<volume>8</volume>
<elocation-id>1476292</elocation-id>
<history>
<date date-type="received">
<day>05</day>
<month>08</month>
<year>2024</year>
</date>
<date date-type="accepted">
<day>30</day>
<month>09</month>
<year>2024</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#x00A9; 2024 Mishra, Shinjo, Jat, Jat, Kumar Jat and Funakawa.</copyright-statement>
<copyright-year>2024</copyright-year>
<copyright-holder>Mishra, Shinjo, Jat, Jat, Kumar Jat and Funakawa</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>This study evaluates the impact of conservation agriculture (CA) on soil carbon sequestration and crop productivity in the Indo-Gangetic Plains, focusing on short-term effects over 3 and 5&#x2009;years. Conducted at two distinct sites, Karnal and Samastipur, the research compares zero tillage, permanent raised beds, and conventional tillage systems across diverse cropping patterns. Initial findings after 3&#x2009;years showed no significant differences in carbon and nitrogen stocks at Karnal, while Samastipur&#x2019;s maize-mustard-mungbean rotation on permanent raised beds showed increased carbon stocks. Notably, after 5&#x2009;years, significant differences in soil carbon stocks emerged at both sites, with improved organic matter input indicated by coarse particulate organic matter (cPOM) formation. The study confirms the potential of POXC and POC as early indicators for carbon sequestration in CA systems, highlighting the role of CA practices in enhancing soil health and crop productivity sustainably.</p>
</abstract>
<abstract abstract-type="graphical">
<title>Graphical abstract</title>
<p><graphic xlink:href="fsufs-08-1476292gr0001.tif" xmlns:xlink="http://www.w3.org/1999/xlink"/></p>
</abstract>
<kwd-group>
<kwd>crop residue recycling</kwd>
<kwd>particulate organic matter</kwd>
<kwd>physical fractionation</kwd>
<kwd>permanent raised bed</kwd>
<kwd>resource conservation practices</kwd>
<kwd>system productivity</kwd>
</kwd-group>
<counts>
<fig-count count="4"/>
<table-count count="10"/>
<equation-count count="6"/>
<ref-count count="59"/>
<page-count count="16"/>
<word-count count="11392"/>
</counts>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-at-acceptance</meta-name>
<meta-value>Agroecology and Ecosystem Services</meta-value>
</custom-meta>
</custom-meta-wrap>
</article-meta>
</front>
<body>
<sec id="sec2">
<title>Highlights</title>
<list list-type="bullet">
<list-item>
<p>CA systems in the Indo-Gangetic Plains enhanced crop yields with zero tillage and raised beds.</p>
</list-item>
<list-item>
<p>After 5&#x2009;years, significant soil carbon changes were observed, not after 3&#x2009;years.</p>
</list-item>
<list-item>
<p>POXC and POC are effective short-term carbon sequestration indicators in CA systems.</p>
</list-item>
<list-item>
<p>The study underscores short-term carbon stock accumulation indicators in CA practices.</p>
</list-item>
</list>
</sec>
<sec sec-type="intro" id="sec3">
<label>1</label>
<title>Introduction</title>
<p>The Indo-Gangetic Plain (IGP) has been facing the challenge of land degradation and the crisis of stagnant crop productivity for decades. These issues largely owe their origin to the overexploitation of resources and the practice of rice-wheat cropping system in the region (<xref ref-type="bibr" rid="ref19">Gathala et al., 2014</xref>; <xref ref-type="bibr" rid="ref38">Mishra et al., 2018</xref>). The intensive tillage technique in rice-wheat (RW) systems calls for a great deal of labor, water, and energy, making it more expensive. Thus, when applied in RW systems, intensive tillage results in escalating production costs and dwindling profitability (<xref ref-type="bibr" rid="ref28">Jat et al., 2019</xref>; <xref ref-type="bibr" rid="ref1">Aryal et al., 2015</xref>). Burning crop residues is a practice commonly adopted by farmers in India particularly northern states (Punjab and Haryana), as it helps to prepare seedbeds (<xref ref-type="bibr" rid="ref31">Kaur et al., 2022</xref>; <xref ref-type="bibr" rid="ref7">Chaudhary et al., 2022</xref>). Such practices contribute to the degeneration of the soil quality, directly caused by the loss of soil carbon, and give rise to environmental hazards, eventually leading to lower productivity of RW cropping systems (<xref ref-type="bibr" rid="ref30">Jha et al., 2014</xref>; <xref ref-type="bibr" rid="ref34">Kumar et al., 2022</xref>). This also leads to the problem of lower productivity and making sustainability of this cropping system a major threat to food security (<xref ref-type="bibr" rid="ref19">Gathala et al., 2014</xref>). So, looking at an alternative practice for sustainable agriculture in South Asia is very important (<xref ref-type="bibr" rid="ref38">Mishra et al., 2018</xref>). Moreover, the massive population growth coupled with climate change, particularly prevalent in the IGP region, can be addressed by the shift from conventional agricultural practices to CA, which can function as a new approach or intervention to sustainably transform extensive agriculture into intensive agriculture (<xref ref-type="bibr" rid="ref28">Jat et al., 2019</xref>). Conservation agriculture is steadily gathering momentum in the IGP region, as it is an effective approach for ameliorating the state of resource preservation and combating soil nutrient mining. At the same time, it also substantially contributes to improving the quality of the environment (<xref ref-type="bibr" rid="ref39">Mishra et al., 2016</xref>; <xref ref-type="bibr" rid="ref28">Jat et al., 2019</xref>).</p>
<p>CA embracing minimal tillage, residue recycling, and crop diversification, enhances soil carbon sequestration and fertility (<xref ref-type="bibr" rid="ref16">Dey et al., 2020</xref>), which is pivotal for balancing carbon inputs with outputs. This approach, bolstered by the strategic management of carbon inputs&#x2014;type, quantity, quality, and placement-aims to strengthen soil carbon stocks and maintain fertility, which is critical for promoting plant growth and soil health (<xref ref-type="bibr" rid="ref17">Franzluebbers, 2010</xref>).</p>
<p>Notably, introducing maize into the rice-wheat (RW) systems addresses the intensive water and labor demands, presenting a sustainable alternative with lower water requirements and higher profitability. The adoption of permanent raised beds (PB) further epitomizes the CA ethos by reducing cultivation costs and environmental impact, supporting soil carbon dynamics, especially in short-term trials where understanding carbon stock and fractions becomes essential (<xref ref-type="bibr" rid="ref22">Govaerts et al., 2009</xref>; <xref ref-type="bibr" rid="ref8">Chauhan et al., 2012</xref>).</p>
<p>While CA&#x2019;s benefits on soil health and productivity are well documented, the specific impact of PB on these aspects remains under-explored, warranting this study&#x2019;s focus on carbon dynamics within PB-based CA systems. This investigation is critical, given the nuanced responses of carbon fractions to CA practices, which vary with agroecological conditions, highlighting the need for a deeper understanding of short-term carbon dynamics under PB (<xref ref-type="bibr" rid="ref14">Das et al., 2018</xref>; <xref ref-type="bibr" rid="ref42">Parihar et al., 2018</xref>).</p>
<p>Crop diversification, integral to CA, enriches microbial substrate heterogeneity and chemical complexity, fostering a diverse soil decomposer community that enhances carbon sequestration through the formation of recalcitrant residues (<xref ref-type="bibr" rid="ref25">Hooper et al., 2005</xref>; <xref ref-type="bibr" rid="ref42">Parihar et al., 2018</xref>). Additionally, incorporating mungbean into rotations increases total organic carbon (TOC) due to its effects on belowground biomass, residue recycling, and carbon rhizodeposition, underscoring the importance of legumes in CA systems for improving soil carbon dynamics (<xref ref-type="bibr" rid="ref18">Ganeshamurthy and Srinivasarao, 2009</xref>; <xref ref-type="bibr" rid="ref24">Hazra et al., 2018</xref>).</p>
<p>This study&#x2019;s exploration of carbon dynamics under PB systems and the inclusion of crop diversification, mainly through mungbean, presents an innovative approach to understanding the short-term impacts of CA practices on soil carbon sequestration, addressing gaps in current knowledge and contributing valuable insights into sustainable agricultural practices in the Indo-Gangetic Plains. It is well recognized that changes in total organic C (TOC) by residue management in a short-term experiment (i.e., &#x003C;5&#x2009;years) are somewhat challenging to observe because of its slower turnover rate and large soil organic carbon (SOC) pool (<xref ref-type="bibr" rid="ref15">De Oliveira Ferreira et al., 2018</xref>; <xref ref-type="bibr" rid="ref23">Guo and Gifford, 2002</xref>; <xref ref-type="bibr" rid="ref57">West and Post, 2002</xref>; <xref ref-type="bibr" rid="ref36">Lal, 2020</xref>; <xref ref-type="bibr" rid="ref47">Rumpel et al., 2018</xref>). However, labile carbon fractions, namely permanganate oxidizable carbon (<xref ref-type="bibr" rid="ref5">Bongiorno et al., 2019</xref>; <xref ref-type="bibr" rid="ref12">Culman et al., 2012</xref>; <xref ref-type="bibr" rid="ref24">Hazra et al., 2018</xref>), microbial biomass carbon (<xref ref-type="bibr" rid="ref2">Awale et al., 2017</xref>; <xref ref-type="bibr" rid="ref35">Kumar et al., 2019</xref>), hot water extractable carbon and dissolved organic carbon (<xref ref-type="bibr" rid="ref2">Awale et al., 2017</xref>; <xref ref-type="bibr" rid="ref5">Bongiorno et al., 2019</xref>; <xref ref-type="bibr" rid="ref58">Xue et al., 2013</xref>), particulate organic carbon (<xref ref-type="bibr" rid="ref2">Awale et al., 2017</xref>; <xref ref-type="bibr" rid="ref5">Bongiorno et al., 2019</xref>; <xref ref-type="bibr" rid="ref35">Kumar et al., 2019</xref>) and carbon fraction based on different oxidisability (<xref ref-type="bibr" rid="ref41">Nandan et al., 2019</xref>; <xref ref-type="bibr" rid="ref42">Parihar et al., 2018</xref>; <xref ref-type="bibr" rid="ref48">Samal et al., 2017</xref>; <xref ref-type="bibr" rid="ref50">Singh et al., 2015</xref>) are more responsive towards the CA-based management practices in the short-term. The difference in their magnitude, however, is subject to changes in factors such as climate, soil type, crop type and rotation, crop residue, and agronomic management (<xref ref-type="bibr" rid="ref6">Chaudhari et al., 2015</xref>; <xref ref-type="bibr" rid="ref45">Prasad et al., 2016</xref>; <xref ref-type="bibr" rid="ref52">Somasundaram et al., 2018</xref>).</p>
<p>While many studies in the tropical regions of South Asia have concentrated on crop productivity within CA, particularly in RW cropping systems (<xref ref-type="bibr" rid="ref49">Sharma et al., 2020</xref>), our research broadens this focus. We investigate both productivity and the indicators of soil carbon accumulation in short-term CA trials. This approach not only provides insights into immediate agricultural outcomes but also explores the sustainability aspects of CA practices through the lens of soil health. Several studies have reported positive changes in the TOC during long-term experiments under CA systems in the IGP region (<xref ref-type="bibr" rid="ref13">Das et al., 2013</xref>; <xref ref-type="bibr" rid="ref20">Ghimire et al., 2017</xref>; <xref ref-type="bibr" rid="ref10">Choudhury et al., 2014</xref>; <xref ref-type="bibr" rid="ref27">Jat et al., 2014</xref>, <xref ref-type="bibr" rid="ref28">2019</xref>). Soil organic matter (SOM) is the important parameters and the key driving force that impacts the soil ecosystem&#x2019;s physical and chemical processes, shaping an agricultural system&#x2019;s productivity, resilience, and sustainability. The SOC and soil mineral N play a significant role in the agroecosystem&#x2019;s long-term sustainable crop productivity, directly impacting the soil&#x2019;s physical, chemical, and biological properties (<xref ref-type="bibr" rid="ref30">Jha et al., 2014</xref>; <xref ref-type="bibr" rid="ref54">Tian and Shi, 2014</xref>). However, scanty information is available on soil carbon dynamics in terms of lability and stabilization under CA management practices in the IGP region of India. This study posits that the combination of diversified biomass carbon input and no-tillage practices, influenced by variations in agro-ecological conditions, plays a pivotal role in determining the extent of carbon sequestration across different agro-ecologies. Thus, it is necessary to identify the changes in carbon fractions that respond to the short-term (3 and 5&#x2009;years, to be precise) CA management practices; for this purpose, two sites (1,300&#x2009;km apart) in the IGP, India, have been selected. The reason for selecting two contrasting sites lies in the differences in landholding size, cropping intensity, climate, and soil type, which can significantly alter the carbon dynamics even after applying similar treatments.</p>
<p>This study aims to evaluate the impact of resource conservation practices on crop yield and total organic carbon (TOC) stocking in Karnal (West Indo-Gangetic Plains) and Samastipur (Middle Indo-Gangetic Plains). It further seeks to examine temporal changes in soil carbon&#x2019;s physical fractionation and explore the relationships between soil carbon stock, its labile fractions, and the input of crop residues. This comprehensive approach quantifies the immediate agricultural benefits and delves into the underlying soil carbon dynamics that support long-term soil health and productivity.</p>
</sec>
<sec sec-type="materials|methods" id="sec4">
<label>2</label>
<title>Materials and methods</title>
<sec id="sec5">
<label>2.1</label>
<title>Experimental location and description</title>
<p>This study was conducted at two sites of IGP, i.e., Taraori, Karnal, India (Lat. 29&#x00B0;48&#x2019; N and Long. 76&#x00B0;55&#x2032; E; called Karnal hereinafter) and Borlaug Institute of South Asia (BISA) farm, Samastipur, India (Lat. 25&#x00B0;57&#x2019; N and Long. 85&#x00B0;40&#x2032; E; called Samastipur hereinafter; <xref ref-type="fig" rid="fig1">Figure 1</xref>). In both the sites, the trial was initiated in 2012 (June in Karnal and November in Samastipur) on a well level (0&#x2013;1% slope) having loam and silty loam soil texture, respectively. In Karnal, the climate is semiarid with hot, dry to wet summers (May&#x2013;October) and cool, dry winters (November&#x2013;April) having 24&#x00B0;C average annual temperature and 670&#x2009;mm mean annual rainfall, of which 75&#x2013;80% is received usually during southwest monsoon (July to September). Karnal is classified as humid subtropical, dry winter climate (Classification: Cwa). In Samastipur, the climate is monsoon-influenced humid subtropical climate, characterized by hot and humid summers and cold winters with an average annual temperature and rainfall of 25.5&#x00B0;C and 1,200&#x2009;mm, respectively, 70% of which is received between July to September. The dominant soils at the study sites in the Indo-Gangetic Plains, specifically in Karnal and Samastipur, are characterized as Anthraquic Haplustepts and Oxyaquic Haplustepts, respectively. These soils feature low organic carbon content and an alkaline reaction. The texture of Karnal&#x2019;s soil is loam, while Samastipur&#x2019;s soil is silty loam. Such soil properties are crucial for understanding the impacts of conservation agriculture practices on soil health and carbon sequestration in these regions.</p>
<fig position="float" id="fig1">
<label>Figure 1</label>
<caption>
<p>Location of the experimental sites in Indo-Gangetic Plains of India.</p>
</caption>
<graphic xlink:href="fsufs-08-1476292-g001.tif"/>
</fig>
</sec>
<sec id="sec6">
<label>2.2</label>
<title>Experimental design and treatments</title>
<p>The experiment&#x2019;s design using a randomized block with six treatments in Karnal (K1-K6) and four in Samastipur (S1-S4) was chosen to effectively account for the inherent variability within and across these contrasting agro-ecological sites. This methodological approach allows for a nuanced examination of CA practices&#x2019; impacts on soil carbon sequestration by accommodating site-specific conditions such as soil type, climate, and cropping systems. The plot size in both, Karnal and Samastipur, was same as 350 m<sup>2</sup>, with three replications in each site (Figure S1). Both sites&#x2019; treatments were based on conventional and conservation agriculture systems of rice, wheat, and maize-based cropping systems (<xref ref-type="table" rid="tab1">Tables 1</xref>, <xref ref-type="table" rid="tab2">2</xref>). In addition, a mustard-based cropping system in Samastipur seems more promising and suitable in this climatic region. The diversified cropping systems were designed to include various cereals and legumes with different C:N ratios to study their effect on soil carbon and nitrogen dynamics. The sowing and harvesting time of all crops in other treatments is depicted in <xref ref-type="fig" rid="fig2">Figures 2a</xref>,<xref ref-type="fig" rid="fig2">b</xref>. The crops in different treatments were grown according to the recommended agronomic practices. <xref ref-type="fig" rid="fig3">Figure 3</xref> illustrates the innovative cropping systems employed on permanent raised beds (PB) in two distinct regions: Karnal and Samastipur. In Karnal, the cropping system of maize-wheat-mungbean is adopted, showcasing a diversification strategy aimed at optimizing crop yields and improving soil health through varied crop rotations. Samastipur experiments with both maize-wheat-mungbean and maize-mustard-mungbean systems, reflecting an effort to tailor cropping patterns to local agro-ecological conditions while enhancing sustainability.</p>
<table-wrap position="float" id="tab1">
<label>Table 1</label>
<caption>
<p>Treatments abbreviation and description of management practices for rice, maize, wheat and mungbean crops in Karnal, India.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top">Symbol</th>
<th align="left" valign="top">Treatments</th>
<th align="left" valign="top">Treatment notations</th>
<th align="left" valign="top" colspan="3">Tillage</th>
<th/>
<th align="left" valign="top" colspan="3">Crop establishment</th>
<th/>
<th align="left" valign="top" colspan="3">Residue management</th>
</tr>
<tr>
<th/>
<th/>
<th/>
<th align="left" valign="bottom">Rice/Maize</th>
<th align="left" valign="bottom">Wheat</th>
<th align="left" valign="bottom">Mungbean</th>
<th/>
<th align="left" valign="bottom">Rice/Maize</th>
<th align="left" valign="bottom">Wheat</th>
<th align="left" valign="bottom">Mungbean</th>
<th/>
<th align="left" valign="bottom">Rice/Maize</th>
<th align="left" valign="bottom">Wheat</th>
<th align="left" valign="bottom">Mungbean</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top">K<sub>1</sub></td>
<td align="left" valign="top">Conventional till (CT) rice-wheat with residue removed from all crops</td>
<td align="left" valign="top">CTRW-R</td>
<td align="left" valign="top">CT puddled rice (harrow-3 passes, puddling-two passes followed by planking)</td>
<td align="left" valign="top">One pass of rotavator</td>
<td align="left" valign="top">NA<xref ref-type="table-fn" rid="tfn1"><sup>a</sup></xref></td>
<td/>
<td align="left" valign="top">Manual transplanting at 15&#x2009;cm&#x2009;&#x00D7;&#x2009;20&#x2009;cm spacing</td>
<td align="left" valign="top">Manual broadcast</td>
<td align="left" valign="top">NA</td>
<td align="left" valign="top" colspan="2">95% removed</td>
<td align="left" valign="top">95% removed</td>
<td align="left" valign="top">NA</td>
</tr>
<tr>
<td align="left" valign="top">K<sub>2</sub></td>
<td align="left" valign="top">Conventional till (CT) rice-wheat-mungbean with residue retained from all crops</td>
<td align="left" valign="top">CTRW&#x2009;+&#x2009;R&#x2009;+&#x2009;MB</td>
<td align="left" valign="top">Same as above</td>
<td align="left" valign="top">Same as above</td>
<td align="left" valign="top">One pass of rotavator</td>
<td/>
<td align="left" valign="top">Same as above</td>
<td align="left" valign="top">Manual broadcast</td>
<td align="left" valign="top">Manual broadcast</td>
<td align="left" valign="top" colspan="2">100% retained</td>
<td align="left" valign="top">50% retained</td>
<td align="left" valign="top">100% retained</td>
</tr>
<tr>
<td align="left" valign="top">K<sub>3</sub></td>
<td align="left" valign="top">Zero till (ZT) direct seeded rice (DSR)-wheat with residue removed from all crops</td>
<td align="left" valign="top">ZTRW-R</td>
<td align="left" valign="top">ZT DSR</td>
<td align="left" valign="top">ZT</td>
<td align="left" valign="top">NA</td>
<td/>
<td align="left" valign="top">Sowing with turbo happy seeder (THS) at 20&#x2009;cm row spacing</td>
<td align="left" valign="top">Sowing with<break/>THS at 20&#x2009;cm<break/>row spacing</td>
<td align="left" valign="top">NA</td>
<td align="left" valign="top" colspan="2">95% removed</td>
<td align="left" valign="top">95% removed</td>
<td align="left" valign="top">NA</td>
</tr>
<tr>
<td align="left" valign="top">K<sub>4</sub></td>
<td align="left" valign="top">Zero till (ZT) direct seeded rice (DSR)-wheat-mungbean with residue retained from all crops</td>
<td align="left" valign="top">ZTRW&#x2009;+&#x2009;R&#x2009;+&#x2009;MB</td>
<td align="left" valign="top">Same as above</td>
<td align="left" valign="top">Same as above</td>
<td align="left" valign="top">Same as above</td>
<td/>
<td align="left" valign="top">Same as above</td>
<td align="left" valign="top">Same as above</td>
<td align="left" valign="top">Sowing with multi-crop planter at 20&#x2009;cm row spacing</td>
<td align="left" valign="top" colspan="2">100% retained</td>
<td align="left" valign="top">50% retained</td>
<td align="left" valign="top">100% retained</td>
</tr>
<tr>
<td align="left" valign="top">K<sub>5</sub></td>
<td align="left" valign="top">Permanent raised bed (PB) maize-wheat with residue removed from all crops</td>
<td align="left" valign="top">PBMW-R</td>
<td align="left" valign="top">ZT</td>
<td align="left" valign="top">ZT</td>
<td align="left" valign="top">NA</td>
<td/>
<td align="left" valign="top">Multi-crop bed planter at 67.5&#x2009;cm</td>
<td align="left" valign="top">Planted 2 rows on PB (67.5&#x2009;cm) at 30&#x2009;cm row spacing with multi-crop bed planter</td>
<td align="left" valign="top">NA</td>
<td align="left" valign="top" colspan="2">95% removed</td>
<td align="left" valign="top">95% removed</td>
<td align="left" valign="top">NA</td>
</tr>
<tr>
<td align="left" valign="top">K<sub>6</sub></td>
<td align="left" valign="top">Permanent raised bed (PB) maize-wheat-mungbean with residue retained from all crops</td>
<td align="left" valign="top">PBMW&#x2009;+&#x2009;R&#x2009;+&#x2009;MB</td>
<td align="left" valign="top">Same as above</td>
<td align="left" valign="top">Same as above</td>
<td align="left" valign="top">Same as above</td>
<td/>
<td align="left" valign="top">Same as above</td>
<td align="left" valign="top">Same as above</td>
<td align="left" valign="top">Planted 2 rows on PB (67.5&#x2009;cm) at 30&#x2009;cm row spacing with multi-crop bed planter</td>
<td align="left" valign="top" colspan="2">50% retained</td>
<td align="left" valign="top">50% retained</td>
<td align="left" valign="top">100% retained</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn id="tfn1">
<label>a</label>
<p>Not applicable.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<table-wrap position="float" id="tab2">
<label>Table 2</label>
<caption>
<p>Treatments abbreviation and description of management practices for rice, maize, wheat and mungbean crops in Samastipur, India.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top" rowspan="2">Symbol</th>
<th align="left" valign="top" rowspan="2">Treatments</th>
<th align="left" valign="top" rowspan="2">Treatment notations</th>
<th align="left" valign="top" colspan="3">Tillage</th>
<th align="left" valign="top" colspan="3">Crop establishment</th>
<th align="left" valign="top" colspan="3">Residue management</th>
</tr>
<tr>
<th align="left" valign="top">Rice/Maize</th>
<th align="left" valign="top">Wheat</th>
<th align="left" valign="top">Mungbean</th>
<th align="left" valign="top">Rice/Maize</th>
<th align="left" valign="top">Wheat</th>
<th align="left" valign="top">Mungbean</th>
<th align="left" valign="top">Rice/Maize</th>
<th align="left" valign="top">Wheat/Mustard</th>
<th align="left" valign="top">Mungbean</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top">S<sub>1</sub></td>
<td align="left" valign="top">Conventional till rice-wheat</td>
<td align="left" valign="top">CTRW-R</td>
<td align="left" valign="top">Conventional till (CT) puddled rice (harrow-3 passes, puddling-two passes followed by planking)</td>
<td align="left" valign="top">One pass of rotavator</td>
<td align="left" valign="top">NA<xref ref-type="table-fn" rid="tfn2"><sup>a</sup></xref></td>
<td align="left" valign="top">Manual transplanting at 15&#x2009;cm&#x2009;&#x00D7;&#x2009;20&#x2009;cm spacing</td>
<td align="left" valign="top">Manual broadcast</td>
<td align="left" valign="top">NA</td>
<td align="left" valign="top">95% removed</td>
<td align="left" valign="top">95% removed</td>
<td align="left" valign="top">NA</td>
</tr>
<tr>
<td align="left" valign="top">S<sub>2</sub></td>
<td align="left" valign="top">Zero till direct seeded rice-wheat-mungbean with residue retained from all crops</td>
<td align="left" valign="top">ZTRW + R + MB</td>
<td align="left" valign="top">ZT DSR</td>
<td align="left" valign="top">ZT</td>
<td align="left" valign="top">ZT</td>
<td align="left" valign="top">Sowing with turbo happy seeder (THS) at 20&#x2009;cm row spacing</td>
<td align="left" valign="top">Sowing with THS at 20&#x2009;cm<break/>row spacing</td>
<td align="left" valign="top">Sowing with multi-crop planter at 20&#x2009;cm row spacing</td>
<td align="left" valign="top">100% retained</td>
<td align="left" valign="top">100% retained</td>
<td align="left" valign="top">100% retained</td>
</tr>
<tr>
<td align="left" valign="top">S<sub>3</sub></td>
<td align="left" valign="top">Permanent raised bed maize-wheat-mungbean with residue retained from all crops</td>
<td align="left" valign="top">PBMW + R + MB</td>
<td align="left" valign="top">ZT</td>
<td align="left" valign="top">ZT</td>
<td align="left" valign="top">ZT</td>
<td align="left" valign="top">Planted 2 rows on permanent beds (67.5&#x2009;cm) at 30&#x2009;cm row spacing with multi-crop bed planter</td>
<td align="left" valign="top">Planted 2 rows on permanent beds (67.5&#x2009;cm) at 30&#x2009;cm row spacing with multi-crop bed planter</td>
<td align="left" valign="top">Planted 2 rows on PB (67.5&#x2009;cm) at 30&#x2009;cm row spacing with multi-crop bed planter</td>
<td align="left" valign="top">50% retained (lower portion)</td>
<td align="left" valign="top">50% retained (lower portion)</td>
<td align="left" valign="top">100% retained</td>
</tr>
<tr>
<td align="left" valign="top">S<sub>4</sub></td>
<td align="left" valign="top">Permanent raised bed maize-mustard-mungbean with residue retained from all crops</td>
<td align="left" valign="top">PBMM + R + MB</td>
<td align="left" valign="top">ZT</td>
<td align="left" valign="top">ZT</td>
<td align="left" valign="top">ZT</td>
<td align="left" valign="top">Same as above</td>
<td align="left" valign="top">Planted 2 rows on permanent beds (67.5&#x2009;cm) at 30&#x2009;cm row spacing with multi-crop bed planter</td>
<td align="left" valign="top">Same as above</td>
<td align="left" valign="top">Same as above</td>
<td align="left" valign="top">Same as above</td>
<td align="left" valign="top">100% retained</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn id="tfn2">
<label>a</label>
<p>Not applicable.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<fig position="float" id="fig2">
<label>Figure 2</label>
<caption>
<p><bold>(a,b)</bold> Calendar of sowing, harvesting and residue management practices followed in cropping systems from 2012 to 2017 in Taraori, Karnal, Haryana, India and in BISA Farm, Samastipur, Bihar, India; PTR: puddle transplanted rice; ZT-DSR: zero-till direct-seeded rice; CT: conventional tillage; &#x002A;Nursery seeding for transplanted rice was done on the same day as on DSR was sown. In the case of transplanted rice, 30&#x2009;days old seedling was used for transplanting. Where, K<sub>1</sub>-Conventional till (CT) rice-wheat with residue removed from all crops, K2-Conventional till (CT) rice-wheat-mungbean with residue retained from all crops, K3-Zero till (ZT) direct-seeded rice (DSR)-wheat with residue removed from all crops, K4-Zero till (ZT) direct-seeded rice (DSR)-wheat-mungbean with residue retained from all crops, K5-Permanent raised bed (PB) maize-wheat with residue removed from all crops, K6-Permanent raised bed (PB) maize-wheat-mungbean with residue retained from all crop.</p>
</caption>
<graphic xlink:href="fsufs-08-1476292-g002.tif"/>
</fig>
<fig position="float" id="fig3">
<label>Figure 3</label>
<caption>
<p>Different cropping systems on permanent raised beds (PB) in Karnal: maize-wheat-mungbean (1) and Samastipur (2): maize-wheat-mungbean and maize-mustard-mungbean.</p>
</caption>
<graphic xlink:href="fsufs-08-1476292-g003.tif"/>
</fig>
</sec>
<sec id="sec7">
<label>2.3</label>
<title>Crop yield, cropping system productivity and plant-derived C inputs</title>
<p>Rice and wheat were harvested and threshed at crop maturity by a combined harvester. Mustard, maize and mungbean were harvested manually. In mungbean, pods were picked manually and the biomass was retained in the plots. For grain and biomass yield, crops were harvested manually from randomly selected 4&#x2009;m&#x2009;&#x00D7;&#x2009;2.7&#x2009;m quadrate from three places within each field. The crop yield was recorded at 12&#x2013;14% moisture content, while biomass yield was calculated after drying in an oven at 50&#x00B0;C for 72&#x2009;h. The mustard yield was converted to wheat equivalent yield (WEY) to compare the treatments using <xref ref-type="disp-formula" rid="EQ1">Equation 1</xref>. System yield (SY) was calculated on rice equivalent yield (REY) basis for wheat, maize, mustard and mungbean grain yield by using <xref ref-type="disp-formula" rid="EQ5">Equation 2</xref>.</p>
<disp-formula id="EQ1">
<label>(1)</label>
<mml:math id="M1">
<mml:mi mathvariant="normal">WEY</mml:mi>
<mml:mspace width="thickmathspace"/>
<mml:mfenced open="(" close=")">
<mml:mrow>
<mml:mi mathvariant="normal">Mg</mml:mi>
<mml:mspace width="thickmathspace"/>
<mml:msup>
<mml:mi mathvariant="normal">ha</mml:mi>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:mfenced>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mtable columnalign="left">
<mml:mtr>
<mml:mtd>
<mml:mi mathvariant="normal">Mustard yield</mml:mi>
<mml:mspace width="thickmathspace"/>
<mml:mfenced open="(" close=")">
<mml:mrow>
<mml:mi mathvariant="normal">Mg</mml:mi>
<mml:mspace width="thickmathspace"/>
<mml:msup>
<mml:mi mathvariant="normal">ha</mml:mi>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:mfenced>
<mml:mo>&#x00D7;</mml:mo>
</mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd>
<mml:mi mathvariant="normal">M</mml:mi>
<mml:mi mathvariant="normal">S</mml:mi>
<mml:mi mathvariant="normal">P</mml:mi>
<mml:mspace width="thickmathspace"/>
<mml:mi mathvariant="normal">of Mustard</mml:mi>
<mml:mspace width="thickmathspace"/>
<mml:mfenced open="(" close=")">
<mml:mrow>
<mml:mi mathvariant="normal">I</mml:mi>
<mml:mi mathvariant="normal">N</mml:mi>
<mml:mi mathvariant="normal">R</mml:mi>
<mml:mspace width="thickmathspace"/>
<mml:msup>
<mml:mi mathvariant="normal">kg</mml:mi>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:mfenced>
</mml:mtd>
</mml:mtr>
</mml:mtable>
<mml:mrow>
<mml:mi mathvariant="normal">M</mml:mi>
<mml:mi mathvariant="normal">S</mml:mi>
<mml:mi mathvariant="normal">P</mml:mi>
<mml:mspace width="thickmathspace"/>
<mml:mi mathvariant="normal">of Wheat</mml:mi>
<mml:mspace width="thickmathspace"/>
<mml:mfenced open="(" close=")">
<mml:mrow>
<mml:mi mathvariant="normal">I</mml:mi>
<mml:mi mathvariant="normal">N</mml:mi>
<mml:mi mathvariant="normal">R</mml:mi>
<mml:mspace width="thickmathspace"/>
<mml:msup>
<mml:mi mathvariant="normal">kg</mml:mi>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mfrac>
</mml:math>
</disp-formula>
<disp-formula id="EQ5">
<label>(2)</label>
<mml:math id="M2">
<mml:mi mathvariant="normal">R</mml:mi>
<mml:mi mathvariant="normal">E</mml:mi>
<mml:mi mathvariant="normal">Y</mml:mi>
<mml:mspace width="thickmathspace"/>
<mml:mfenced open="(" close=")">
<mml:mrow>
<mml:mi mathvariant="normal">Mg</mml:mi>
<mml:mspace width="thickmathspace"/>
<mml:msup>
<mml:mi mathvariant="normal">ha</mml:mi>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:mfenced>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mtable columnalign="left">
<mml:mtr>
<mml:mtd>
<mml:mi mathvariant="normal">Non rice crop yield</mml:mi>
<mml:mspace width="thickmathspace"/>
<mml:mfenced open="(" close=")">
<mml:mrow>
<mml:mi mathvariant="normal">Mg</mml:mi>
<mml:mspace width="thickmathspace"/>
<mml:msup>
<mml:mi mathvariant="normal">ha</mml:mi>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:mfenced>
<mml:mo>&#x00D7;</mml:mo>
</mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd>
<mml:mi mathvariant="normal">M</mml:mi>
<mml:mi mathvariant="normal">S</mml:mi>
<mml:mi mathvariant="normal">P</mml:mi>
<mml:mspace width="thickmathspace"/>
<mml:mi mathvariant="normal">of Non rice crop</mml:mi>
<mml:mspace width="thickmathspace"/>
<mml:mfenced open="(" close=")">
<mml:mrow>
<mml:mi mathvariant="normal">I</mml:mi>
<mml:mi mathvariant="normal">N</mml:mi>
<mml:mi mathvariant="normal">R</mml:mi>
<mml:mspace width="thickmathspace"/>
<mml:msup>
<mml:mi mathvariant="normal">kg</mml:mi>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:mfenced>
</mml:mtd>
</mml:mtr>
</mml:mtable>
<mml:mrow>
<mml:mi mathvariant="normal">M</mml:mi>
<mml:mi mathvariant="normal">S</mml:mi>
<mml:mi mathvariant="normal">P</mml:mi>
<mml:mspace width="thickmathspace"/>
<mml:mi mathvariant="normal">of Rice</mml:mi>
<mml:mspace width="thickmathspace"/>
<mml:mfenced open="(" close=")">
<mml:mrow>
<mml:mi mathvariant="normal">I</mml:mi>
<mml:mi mathvariant="normal">N</mml:mi>
<mml:mi mathvariant="normal">R</mml:mi>
<mml:mspace width="thickmathspace"/>
<mml:msup>
<mml:mi mathvariant="normal">kg</mml:mi>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mfrac>
</mml:math>
</disp-formula>
<p>Where, MSP is the Minimum Support Price set by Govt. of India; INR is the India National Rupee (rice: 1,360&#x2009;&#x00B1;&#x2009;85.4, wheat: 1,547&#x2009;&#x00B1;&#x2009;135.0, maize: 1,297&#x2009;&#x00B1;&#x2009;71.8, mustard: 3,440&#x2009;&#x00B1;&#x2009;405.3 and mungbean: 4,950&#x2009;&#x00B1;&#x2009;447.6).</p>
<p>After the crop harvest, the total biomass yield of roots and stubble was estimated using 0.5&#x2009;m&#x2009;&#x00D7;&#x2009;0.5&#x2009;m quadrate, throwing randomly three places within each plot and extrapolated to a hectare basis at 0&#x2013;15&#x2009;cm soil depth. After 5&#x2009;years of experimentation, samples from each crop were taken for total carbon (C) and nitrogen (N) in the crop residue, stubble and root by dry combustion method with an NC analyzer (Vario Max CHN, Elementar). The average total C and N in the crop residue, stubble and root at both sites are presented in <xref rid="SM1" ref-type="supplementary-material">Supplementary Tables S1</xref>, <xref rid="SM1" ref-type="supplementary-material">S2</xref>.</p>
</sec>
<sec id="sec8">
<label>2.4</label>
<title>Soil sampling and analysis</title>
<p>After 3 and 5&#x2009;years of experimentation (in 2015 and 2017 for Karnal and 2016 and 2018 for Samastipur), composite soil samples (five randomly selected points within each plot) were collected from two depths (0&#x2013;5&#x2009;cm and 5&#x2013;15&#x2009;cm) with a soil augur of 5&#x2009;cm internal diameter.</p>
<p>The selection of two soil depths (0&#x2013;5&#x2009;cm and 5&#x2013;15&#x2009;cm) for sampling in this study is strategic, aimed at capturing the most significant changes in carbon (C) and nitrogen (N) content within the plough layer, which is generally up to 15&#x2009;cm. This depth aligns with standard ploughing practices and encompasses the majority of root activity, ensuring that the assessment of soil health and nutrient dynamics is both relevant and comprehensive. The methodology for soil sampling, involving composite samples from five random points within each plot, and the subsequent analysis, including the use of an improved chromic acid digestion method for total organic carbon (TOC) determination, is designed to provide a detailed understanding of soil carbon and nitrogen changes attributable to conservation agriculture practices over the 3 and 5-year experimentation periods. To quantify the overall changes in C and N content up to plough layer (0&#x2013;15&#x2009;cm), <xref ref-type="disp-formula" rid="EQ6">Equation 3</xref> was used that quantifies the weighted mean of the soil C and the soil N for the layer 0&#x2013;15&#x2009;cm. The soil samples were air-dried and passed through a 2&#x2009;mm sieve for analysis. As the soil samples of both sites contain a substantial amount of carbonates, total organic carbon (TOC) was analyzed by an improved chromic acid digestion method (<xref ref-type="bibr" rid="ref55">Tyurin, 1966</xref>). Soil bulk density (BD) was determined with a core sampler and cores of 5&#x2009;cm height and 5&#x2009;cm diameter (<xref ref-type="bibr" rid="ref3">Blake and Hartge, 1986</xref>).</p>
<disp-formula id="EQ6">
<label>(3)</label>
<mml:math id="M3">
<mml:mtable>
<mml:mtr>
<mml:mtd>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mspace width="thickmathspace"/>
<mml:mi mathvariant="normal">or</mml:mi>
<mml:mspace width="thickmathspace"/>
<mml:mi mathvariant="normal">N</mml:mi>
<mml:mspace width="thickmathspace"/>
<mml:mi mathvariant="normal">content</mml:mi>
<mml:mspace width="thickmathspace"/>
<mml:mfenced open="(" close=")">
<mml:mrow>
<mml:mi mathvariant="normal">g</mml:mi>
<mml:mspace width="thickmathspace"/>
<mml:msup>
<mml:mi mathvariant="normal">kg</mml:mi>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:mfenced>
<mml:mo>=</mml:mo>
<mml:mfenced open="(" close=")">
<mml:mrow>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mspace width="thickmathspace"/>
<mml:mi mathvariant="normal">or</mml:mi>
<mml:mspace width="thickmathspace"/>
<mml:mi mathvariant="normal">N</mml:mi>
<mml:mspace width="thickmathspace"/>
<mml:mi mathvariant="normal">in</mml:mi>
<mml:mspace width="thickmathspace"/>
<mml:mn>0</mml:mn>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>5</mml:mn>
<mml:mspace width="thickmathspace"/>
<mml:mi mathvariant="normal">cm</mml:mi>
</mml:mrow>
</mml:mfenced>
<mml:mo>&#x00D7;</mml:mo>
<mml:mfenced open="(" close=")">
<mml:mfrac>
<mml:mn>5</mml:mn>
<mml:mn>15</mml:mn>
</mml:mfrac>
</mml:mfenced>
</mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd>
<mml:mo>+</mml:mo>
<mml:mspace width="0.25em"/>
<mml:mfenced open="(" close=")">
<mml:mrow>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mspace width="thickmathspace"/>
<mml:mi mathvariant="normal">or</mml:mi>
<mml:mspace width="thickmathspace"/>
<mml:mi mathvariant="normal">N</mml:mi>
<mml:mspace width="thickmathspace"/>
<mml:mi mathvariant="normal">in</mml:mi>
<mml:mspace width="thickmathspace"/>
<mml:mn>5</mml:mn>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>15</mml:mn>
<mml:mspace width="thickmathspace"/>
<mml:mi mathvariant="normal">cm</mml:mi>
</mml:mrow>
</mml:mfenced>
<mml:mo>&#x00D7;</mml:mo>
<mml:mfenced open="(" close=")">
<mml:mfrac>
<mml:mn>10</mml:mn>
<mml:mn>15</mml:mn>
</mml:mfrac>
</mml:mfenced>
</mml:mtd>
</mml:mtr>
</mml:mtable>
</mml:math>
</disp-formula>
</sec>
<sec id="sec9">
<label>2.5</label>
<title>Particulate organic matter (POM) fractionation</title>
<p>POM fractionation provides insights into the soil&#x2019;s ability to sequester carbon and maintain fertility, highlighting the effectiveness of CA practices in enhancing soil health. Additionally, understanding POM dynamics allows for assessing soil organic matter turnover and stability, critical factors in evaluating the sustainability of agricultural systems.</p>
<p>Twenty grams of air-dried and sieved soil (2&#x2009;mm), five glass beads and 50&#x2009;mL of distilled water were put in a 100&#x2009;mL plastic bottle and shaken for 16&#x2009;h at 20&#x00B0;C in an end-over-end shaker at 40 rotations per minute to ensure physical fractionation of soil organic matter (<xref ref-type="bibr" rid="ref32">Koutika et al., 2017</xref>). The soil was wet-sieved to separate the suspension into three fractions: 2,000&#x2013;250&#x2009;&#x03BC;m, 250&#x2013;53&#x2009;&#x03BC;m and 0&#x2013;53&#x2009;&#x03BC;m. The following fractions were collected: coarse (cPOM, 2,000&#x2013;250&#x2009;&#x03BC;m) and fine POM fractions (fPOM, 250&#x2013;53&#x2009;&#x03BC;m) fractions and the organo-mineral fraction (OMF, &#x003C; 53&#x2009;&#x03BC;m). All fractions were dried at 65&#x00B0;C and weighed. The recovery of fractionation (sum of all fraction mass divided by soil mass) was 1.0047. Proportional soil mass (%) was calculated by using <xref ref-type="disp-formula" rid="EQ2">Equation 4</xref></p>
<disp-formula id="EQ2">
<label>(4)</label>
<mml:math id="M4">
<mml:mtable columnalign="left">
<mml:mtr>
<mml:mtd>
<mml:mi mathvariant="normal">Proportional soil mass in</mml:mi>
<mml:mspace width="thickmathspace"/>
<mml:mi mathvariant="normal">a</mml:mi>
<mml:mspace width="thickmathspace"/>
<mml:mi mathvariant="normal">fraction</mml:mi>
<mml:mspace width="thickmathspace"/>
<mml:mfenced open="(" close=")">
<mml:mo>%</mml:mo>
</mml:mfenced>
</mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd>
<mml:mspace width="2.5em"/>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi mathvariant="normal">Class mass</mml:mi>
<mml:mspace width="thickmathspace"/>
<mml:mfenced open="(" close=")">
<mml:mi mathvariant="normal">kg</mml:mi>
</mml:mfenced>
</mml:mrow>
<mml:mrow>
<mml:mo stretchy="true">&#x2211;</mml:mo>
<mml:mrow>
<mml:mi mathvariant="normal">Classes mass</mml:mi>
<mml:mspace width="thickmathspace"/>
<mml:mfenced open="(" close=")">
<mml:mi mathvariant="normal">kg</mml:mi>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:mfrac>
<mml:mo>&#x00D7;</mml:mo>
<mml:mn>100</mml:mn>
</mml:mtd>
</mml:mtr>
</mml:mtable>
</mml:math>
</disp-formula>
<p>The C in cPOM fraction was analyzed by dry combustion method with the NC analyzer, whereas C in fPOM and OMF fractions was analyzed by Tyurin method to avoid overestimation as these fractions contain carbonates. Total N in all the fractions were analyzed by NC analyzer.</p>
</sec>
<sec id="sec10">
<label>2.6</label>
<title>TOC stock and TN stock in different soil fractions of POM</title>
<p>The size of the TOC and TN in each POM fraction was calculated by multiplying their respective TOC and TN concentration with soil mass (mentioned as SM in equation) in each depth (0&#x2013;5&#x2009;cm and 5&#x2013;15&#x2009;cm) and mass of soil in each fraction using <xref ref-type="disp-formula" rid="EQ3">Equation (5)</xref>.</p>
<disp-formula id="EQ3">
<label>(5)</label>
<mml:math id="M5">
<mml:mtable>
<mml:mtr>
<mml:mtd>
<mml:mi mathvariant="normal">T</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mspace width="thickmathspace"/>
<mml:mi mathvariant="normal">or</mml:mi>
<mml:mspace width="thickmathspace"/>
<mml:mi mathvariant="normal">T</mml:mi>
<mml:mi mathvariant="normal">N</mml:mi>
<mml:mspace width="thickmathspace"/>
<mml:mi mathvariant="normal">stock</mml:mi>
<mml:mspace width="thickmathspace"/>
<mml:mfenced open="(" close=")">
<mml:mrow>
<mml:mi mathvariant="normal">Mg</mml:mi>
<mml:mspace width="thickmathspace"/>
<mml:msup>
<mml:mi mathvariant="normal">ha</mml:mi>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:mfenced>
<mml:mo>=</mml:mo>
<mml:mi mathvariant="normal">S</mml:mi>
<mml:mi mathvariant="normal">M</mml:mi>
<mml:mspace width="thickmathspace"/>
<mml:mi mathvariant="normal">in each depth</mml:mi>
<mml:mspace width="thickmathspace"/>
<mml:mfenced open="(" close=")">
<mml:mrow>
<mml:mi mathvariant="normal">Mg</mml:mi>
<mml:mspace width="thickmathspace"/>
<mml:msup>
<mml:mi mathvariant="normal">ha</mml:mi>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:mfenced>
<mml:mspace width="thickmathspace"/>
</mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd>
<mml:mi mathvariant="normal">X</mml:mi>
<mml:mspace width="thickmathspace"/>
<mml:mi mathvariant="normal">O</mml:mi>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mspace width="thickmathspace"/>
<mml:mi mathvariant="normal">or</mml:mi>
<mml:mspace width="thickmathspace"/>
<mml:mi mathvariant="normal">T</mml:mi>
<mml:mi mathvariant="normal">N</mml:mi>
<mml:mspace width="thickmathspace"/>
<mml:mi mathvariant="normal">in each fraction</mml:mi>
<mml:mspace width="thickmathspace"/>
<mml:mfenced open="(" close=")">
<mml:mo>%</mml:mo>
</mml:mfenced>
</mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd>
<mml:mo>&#x00D7;</mml:mo>
<mml:mspace width="0.25em"/>
<mml:mi mathvariant="normal">S</mml:mi>
<mml:mi mathvariant="normal">M</mml:mi>
<mml:mspace width="thickmathspace"/>
<mml:mi mathvariant="normal">in each fraction</mml:mi>
<mml:mfenced open="(" close=")">
<mml:mo>%</mml:mo>
</mml:mfenced>
</mml:mtd>
</mml:mtr>
</mml:mtable>
</mml:math>
</disp-formula>
<p>Where, soil mass in Mg <inline-formula>
<mml:math id="M6">
<mml:msup>
<mml:mi mathvariant="normal">ha</mml:mi>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msup>
</mml:math>
</inline-formula> (depth 0&#x2013;0.05&#x2009;m)&#x2009;=&#x2009;BD (Mg&#x2009;m<sup>&#x2212;3</sup>)&#x2009;&#x00D7;&#x2009;500; Soil mass in Mg <inline-formula>
<mml:math id="M7">
<mml:msup>
<mml:mi mathvariant="normal">ha</mml:mi>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msup>
</mml:math>
</inline-formula> (depth 0.05&#x2013;0.15&#x2009;m)&#x2009;=&#x2009;BD (Mg&#x2009;m<sup>&#x2212;3</sup>)&#x2009;&#x00D7;&#x2009;1,000. TOC stock and TN stock up to plough layer (0&#x2013;15&#x2009;cm) were simply adding stock in 0&#x2013;5&#x2009;cm and 5&#x2013;15&#x2009;cm.</p>
</sec>
<sec id="sec11">
<label>2.7</label>
<title>Permanganate oxidizable carbon (POXC)</title>
<p>The modified procedure for determining permanganate oxidizable carbon (POXC) is adapted from <xref ref-type="bibr" rid="ref12">Culman et al. (2012)</xref>. Briefly, 2.5&#x2009;g of air-dried soil were dispersed in 20&#x2009;mL of KMnO<sub>4</sub> solution (0.02&#x2009;mol&#x2009;L<sup>&#x2212;1</sup>), with shaking on a reciprocating shaker (120 strokes minute<sup>&#x2212;1</sup>) for exactly 2&#x2009;min. After shaking, the soil solution was allowed to settle for 10&#x2009;min, then 1&#x2009;mL of the supernatant was transferred into a 50&#x2009;mL centrifuge tube and 49&#x2009;mL of deionized water was added. A spectrophotometer read the absorbance of the diluted supernatant at 550&#x2009;nm. The change in the concentration of KMnO<sub>4</sub> was used to estimate the amount of oxidized C. Sample POXC was calculated as in <xref ref-type="bibr" rid="ref56">Weil et al. (2003)</xref> using <xref ref-type="disp-formula" rid="EQ4">Equation 6</xref></p>
<disp-formula id="EQ4">
<label>(6)</label>
<mml:math id="M8">
<mml:mtable>
<mml:mtr>
<mml:mtd>
<mml:mi mathvariant="normal">POXC</mml:mi>
<mml:mspace width="thickmathspace"/>
<mml:mfenced open="(" close=")">
<mml:mrow>
<mml:mi mathvariant="normal">mg</mml:mi>
<mml:mspace width="thickmathspace"/>
<mml:msup>
<mml:mi mathvariant="normal">kg</mml:mi>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:mfenced>
<mml:mo>=</mml:mo>
<mml:mfenced open="[" close="]">
<mml:mrow>
<mml:mn>0.02</mml:mn>
<mml:mspace width="thickmathspace"/>
<mml:mi mathvariant="normal">mol</mml:mi>
<mml:mspace width="thickmathspace"/>
<mml:msup>
<mml:mi mathvariant="normal">L</mml:mi>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msup>
<mml:mo>&#x2212;</mml:mo>
<mml:mfenced open="(" close=")">
<mml:mrow>
<mml:mi mathvariant="normal">a</mml:mi>
<mml:mo>+</mml:mo>
<mml:mi mathvariant="normal">b</mml:mi>
<mml:mo>&#x00D7;</mml:mo>
<mml:mi mathvariant="normal">Abs</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mfenced>
</mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd>
<mml:mo>&#x00D7;</mml:mo>
<mml:mspace width="0.25em"/>
<mml:mfenced open="(" close=")">
<mml:mrow>
<mml:mn>9000</mml:mn>
<mml:mspace width="thickmathspace"/>
<mml:mi mathvariant="normal">mg</mml:mi>
<mml:mspace width="thickmathspace"/>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mspace width="thickmathspace"/>
<mml:msup>
<mml:mi mathvariant="normal">mol</mml:mi>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:mfenced>
<mml:mo>&#x00D7;</mml:mo>
<mml:mfenced open="(" close=")">
<mml:mfrac>
<mml:mrow>
<mml:mn>0.02</mml:mn>
<mml:mspace width="thickmathspace"/>
<mml:mi mathvariant="normal">L</mml:mi>
<mml:mspace width="thickmathspace"/>
<mml:mi mathvariant="normal">solution</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>0.0025</mml:mn>
<mml:mspace width="thickmathspace"/>
<mml:mi mathvariant="normal">kg</mml:mi>
<mml:mspace width="thickmathspace"/>
<mml:mi mathvariant="normal">soil</mml:mi>
</mml:mrow>
</mml:mfrac>
</mml:mfenced>
</mml:mtd>
</mml:mtr>
</mml:mtable>
</mml:math>
</disp-formula>
<p>Where 0.02&#x2009;mol&#x2009;L<sup>&#x2212;1</sup> is the initial concentration of the KMnO<sub>4</sub> reactant, a and b are the intercept and slope of the standard curve, respectively, Abs is the sample absorbance, 9,000&#x2009;mg C mol<sup>&#x2212;1</sup> is the amount of C (0.75&#x2009;mol) oxidized by 1&#x2009;mol of MnO<sub>4</sub>, changing Mn<sup>7+</sup> to Mn<sup>4+</sup>, and 0.0025&#x2009;kg soil is the amount of soil reacted with KMnO<sub>4.</sub> The POXC stock was calculated by multiplying the respective POXC concentration with BD and soil depth.</p>
</sec>
<sec id="sec12">
<label>2.8</label>
<title>Statistical analysis</title>
<p>The analysis of variance (ANOVA) was carried out separately for both locations to determine the statistically significant differences among the treatments in both sites using SPSS (17.0) statistical package (SPSS Inc.). Tukey&#x2019;s <italic>post hoc</italic> test was used for multiple comparisons among the treatments (<italic>p</italic>&#x2009;&#x003C;&#x2009;0.05). Pearson correlation coefficient was used to evaluate the relationship between the carbon inputs and soil properties.</p>
</sec>
</sec>
<sec sec-type="results" id="sec13">
<label>3</label>
<title>Results</title>
<sec id="sec14">
<label>3.1</label>
<title>Crop grain yield and system yield</title>
<p>After 5&#x2009;years, significant yield differences emerged among tillage and residue management treatments in both sites (<xref ref-type="table" rid="tab3">Table 3</xref>). In Karnal, maize in K5 and K6 (PB) outperformed ZT (K3, K4) and CT (K1, K2). Wheat and mungbean yields favored CA practices, particularly in ZT and PB systems. System yield was notably higher in treatments incorporating crop residue and mungbean (K2, K4, K6), with K6 leading (20.2% higher than K1). In Samastipur, rice yields in S1 and S2 were comparable, but PB treatments (S3, S4) yielded lower for maize compared to CT (S1). Wheat yields showed no significant difference. The highest system yields were in S2 (15.0&#x2009;Mg&#x2009;ha<sup>&#x2212;1</sup>) and S4 (13.7&#x2009;Mg&#x2009;ha<sup>&#x2212;1</sup>), with ZT (S2) achieving a 23.0% increase over CT (S1). Plant-derived C input data are detailed in <xref rid="SM1" ref-type="supplementary-material">Supplementary Table S3</xref>.</p>
<table-wrap position="float" id="tab3">
<label>Table 3</label>
<caption>
<p>Means of 5&#x2009;years crop grain yield and system yield as affected by tillage and residue management practices.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top" rowspan="2">Treatments<xref ref-type="table-fn" rid="tfn3"><sup>1</sup></xref></th>
<th align="center" valign="top">Rice/Maize</th>
<th align="center" valign="top">Wheat/Mustard</th>
<th align="center" valign="top">Mungbean</th>
<th align="center" valign="top">System yield<xref ref-type="table-fn" rid="tfn7"><sup>&#x002A;</sup></xref></th>
</tr>
<tr>
<th align="center" valign="top" colspan="4">(Mg&#x2009;ha<sup>&#x2212;1</sup>)</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top" colspan="5">Karnal</td>
</tr>
<tr>
<td align="left" valign="top">K<sub>1</sub></td>
<td align="center" valign="top">6.71<sup>b</sup></td>
<td align="center" valign="top">4.98<sup>b</sup></td>
<td align="center" valign="top">
<sub>NA</sub>
<xref ref-type="table-fn" rid="tfn6"><sup>&#x00A5;</sup></xref>
</td>
<td align="center" valign="top">11.9<sup>d</sup></td>
</tr>
<tr>
<td align="left" valign="top">K<sub>2</sub></td>
<td align="center" valign="top">6.78<sup>b</sup></td>
<td align="center" valign="top">5.05<sup>b</sup></td>
<td align="center" valign="top">0.26<sup>b</sup></td>
<td align="center" valign="top">12.8<sup>c</sup></td>
</tr>
<tr>
<td align="left" valign="top">K<sub>3</sub></td>
<td align="center" valign="top">6.69<sup>b</sup></td>
<td align="center" valign="top">5.66<sup>a</sup></td>
<td align="center" valign="top">NA</td>
<td align="center" valign="top">12.5<sup>cd</sup></td>
</tr>
<tr>
<td align="left" valign="top">K<sub>4</sub></td>
<td align="center" valign="top">6.76<sup>b</sup></td>
<td align="center" valign="top">5.72<sup>a</sup></td>
<td align="center" valign="top">0.31<sup>a</sup></td>
<td align="center" valign="top">13.6<sup>ab</sup></td>
</tr>
<tr>
<td align="left" valign="top">K<sub>5</sub></td>
<td align="center" valign="top">7.50<sup>a&#x03C8;</sup></td>
<td align="center" valign="top">5.78<sup>a</sup></td>
<td align="center" valign="top">NA</td>
<td align="center" valign="top">13.1<sup>bc</sup></td>
</tr>
<tr>
<td align="left" valign="top">K<sub>6</sub></td>
<td align="center" valign="top">7.56<sup>a&#x03C8;</sup></td>
<td align="center" valign="top">5.83<sup>a</sup></td>
<td align="center" valign="top">0.33<sup>a</sup></td>
<td align="center" valign="top">14.3<sup>a</sup></td>
</tr>
<tr>
<td align="left" valign="top" colspan="5">Samastipur</td>
</tr>
<tr>
<td align="left" valign="top">S<sub>1</sub></td>
<td align="center" valign="top">7.24<sup>a</sup></td>
<td align="center" valign="top">4.91<sup>a</sup></td>
<td align="center" valign="top">NA</td>
<td align="center" valign="top">12.2<sup>b</sup></td>
</tr>
<tr>
<td align="left" valign="top">S<sub>2</sub></td>
<td align="center" valign="top">7.55<sup>a</sup></td>
<td align="center" valign="top">5.65<sup>a</sup></td>
<td align="center" valign="top">0.37<sup>b</sup></td>
<td align="center" valign="top">15.0<sup>a</sup></td>
</tr>
<tr>
<td align="left" valign="top">S<sub>3</sub></td>
<td align="center" valign="top">5.40<sup>b,</sup><xref ref-type="table-fn" rid="tfn4"><sup>&#x03C8;</sup></xref></td>
<td align="center" valign="top">5.89<sup>a</sup></td>
<td align="center" valign="top">0.41<sup>b</sup></td>
<td align="center" valign="top">12.5<sup>b</sup></td>
</tr>
<tr>
<td align="left" valign="top">S<sub>4</sub></td>
<td align="center" valign="top">5.62<sup>b,</sup><xref ref-type="table-fn" rid="tfn4"><sup>&#x03C8;</sup></xref></td>
<td align="center" valign="top">5.83<sup>a,</sup><xref ref-type="table-fn" rid="tfn5"><sup>#</sup></xref></td>
<td align="center" valign="top">1.11<sup>a</sup></td>
<td align="center" valign="top">13.7<sup>a</sup></td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p>Different small letters denote significant difference across the treatments. K1-Conventional till (CT) rice-wheat with residue removed from all crops, K2-Conventional till (CT) rice-wheat-mungbean with residue retained from all crops, K3-Zero till (ZT) direct seeded rice (DSR)-wheat with residue removed from all crops, K4-Zero till (ZT) direct seeded rice (DSR)-wheat-mungbean with residue retained from all crops, K5-Permanent raised bed (PB) maize-wheat with residue removed from all crops, K6-Permanent raised bed (PB) maize-wheat-mungbean with residue retained from all crops; S1-Conventional till, S2-Zero till direct seeded rice-wheat-mungbean with residue retained from all crops rice-wheat, S3-Permanent raised bed maize-wheat-mungbean with residue retained from all crops, S4-Permanent raised bed maize-mustard-mungbean with residue retained from all crops.</p>
<fn id="tfn3">
<label>1</label>
<p>For treatment details refer to <xref ref-type="table" rid="tab1">Tables 1</xref>, <xref ref-type="table" rid="tab2">2</xref>.</p>
</fn>
<fn id="tfn4">
<label>&#x03C8;</label>
<p>Rice equivalent yield of maize.</p>
</fn>
<fn id="tfn5">
<label>#</label>
<p>Wheat equivalent yield of mustard.</p>
</fn>
<fn id="tfn6">
<label>&#x00A5;</label>
<p>NA represents fallow period (no mungbean was cultivated).</p>
</fn>
<fn id="tfn7">
<label>&#x002A;</label>
<p>System yield was calculated in terms of rice equivalent yield.</p>
</fn>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="sec15">
<label>3.2</label>
<title>Stocks of TOC and TN in two different agroecology of IGP</title>
<p>In Karnal, significant differences in TOC stocks at 0&#x2013;5&#x2009;cm depth were observed among treatments in both 2015 and 2017, with K4 and K6 showing the highest stocks, 17 and 11% higher than K1, respectively, in 2015; and 17 and 20% higher than K1 in 2017 (<xref ref-type="table" rid="tab4">Table 4</xref>). TN stocks differed significantly in 2015 but not in 2017, with K6 (&#x2248;21% and &#x2248;13% in 2015 and 2017 respectively) and K4 (&#x2248;12 and &#x2248;15% in 2015 and 2017, respectively) showing the highest increases over K1. At 5&#x2013;15&#x2009;cm depth, TOC stocks showed significant change in 2015 and 2017 (8&#x2013;11% (2015) and 5&#x2013;10% (2017) in K4 to K6 over K1). While TN stocks differed in K4 (23%) in 2015 and, K4 (42%) and K6 (37%) in 2017 (<xref ref-type="table" rid="tab4">Table 4</xref>).</p>
<table-wrap position="float" id="tab4">
<label>Table 4</label>
<caption>
<p>Carbon and nitrogen stock under different tillage and residue management practices in Karnal.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th/>
<th align="center" valign="top" colspan="4">2015</th>
<th align="center" valign="top" colspan="4">2017</th>
</tr>
<tr>
<th/>
<th align="center" valign="top">TOC (g&#x2009;kg<sup>&#x2212;1</sup>)</th>
<th align="center" valign="top">TOC stock (Mg&#x2009;ha<sup>&#x2212;1</sup>)</th>
<th align="center" valign="top">TN (g&#x2009;kg<sup>&#x2212;1</sup>)</th>
<th align="center" valign="top">TN stock (Mg&#x2009;ha<sup>&#x2212;1</sup>)</th>
<th align="center" valign="top">TOC (g&#x2009;kg<sup>&#x2212;1</sup>)</th>
<th align="center" valign="top">TOC stock (Mg&#x2009;ha<sup>&#x2212;1</sup>)</th>
<th align="center" valign="top">TN (g&#x2009;kg<sup>&#x2212;1</sup>)</th>
<th align="center" valign="top">TN stock (Mg&#x2009;ha<sup>&#x2212;1</sup>)</th>
</tr>
</thead>
<tbody>
<tr>
<td/>
<td align="center" valign="top" colspan="8">0&#x2013;5&#x2009;cm</td>
</tr>
<tr>
<td align="left" valign="top">K<sub>1</sub></td>
<td align="center" valign="top">8.29<sup>b</sup></td>
<td align="center" valign="top">6.66<sup>b</sup></td>
<td align="center" valign="top">0.91<sup>a</sup></td>
<td align="center" valign="top">0.73<sup>a</sup></td>
<td align="center" valign="top">9.55<sup>c</sup></td>
<td align="center" valign="top">7.66<sup>c</sup></td>
<td align="center" valign="top">1.50<sup>b</sup></td>
<td align="center" valign="top">1.21<sup>b</sup></td>
</tr>
<tr>
<td align="left" valign="top">K<sub>2</sub></td>
<td align="center" valign="top">8.28<sup>b</sup></td>
<td align="center" valign="top">6.64<sup>b</sup></td>
<td align="center" valign="top">0.95<sup>a</sup></td>
<td align="center" valign="top">0.76<sup>a</sup></td>
<td align="center" valign="top">12.1<sup>bc</sup></td>
<td align="center" valign="top">9.67<sup>bc</sup></td>
<td align="center" valign="top">1.93<sup>ab</sup></td>
<td align="center" valign="top">1.55<sup>ab</sup></td>
</tr>
<tr>
<td align="left" valign="top">K<sub>3</sub></td>
<td align="center" valign="top">7.99<sup>b</sup></td>
<td align="center" valign="top">6.16<sup>b</sup></td>
<td align="center" valign="top">0.96<sup>a</sup></td>
<td align="center" valign="top">0.74<sup>a</sup></td>
<td align="center" valign="top">14.6<sup>ab</sup></td>
<td align="center" valign="top">11.2<sup>ab</sup></td>
<td align="center" valign="top">1.90<sup>ab</sup></td>
<td align="center" valign="top">1.49<sup>ab</sup></td>
</tr>
<tr>
<td align="left" valign="top">K<sub>4</sub></td>
<td align="center" valign="top">9.67<sup>a</sup></td>
<td align="center" valign="top">10.8<sup>a</sup></td>
<td align="center" valign="top">1.05<sup>a</sup></td>
<td align="center" valign="top">0.82<sup>a</sup></td>
<td align="center" valign="top">14.8<sup>ab</sup></td>
<td align="center" valign="top">11.6<sup>ab</sup></td>
<td align="center" valign="top">2.18<sup>a</sup></td>
<td align="center" valign="top">1.68<sup>a</sup></td>
</tr>
<tr>
<td align="left" valign="top">K<sub>5</sub></td>
<td align="center" valign="top">8.72<sup>b</sup></td>
<td align="center" valign="top">6.85<sup>b</sup></td>
<td align="center" valign="top">0.93<sup>a</sup></td>
<td align="center" valign="top">0.73<sup>a</sup></td>
<td align="center" valign="top">13.4<sup>abc</sup></td>
<td align="center" valign="top">10.5<sup>abc</sup></td>
<td align="center" valign="top">1.63<sup>ab</sup></td>
<td align="center" valign="top">1.28<sup>ab</sup></td>
</tr>
<tr>
<td align="left" valign="top">K<sub>6</sub></td>
<td align="center" valign="top">9.45<sup>b</sup></td>
<td align="center" valign="top">7.40<sup>b</sup></td>
<td align="center" valign="top">1.13<sup>a</sup></td>
<td align="center" valign="top">0.88<sup>a</sup></td>
<td align="center" valign="top">16.9<sup>a</sup></td>
<td align="center" valign="top">13.2<sup>a</sup></td>
<td align="center" valign="top">2.16<sup>a</sup></td>
<td align="center" valign="top">1.69<sup>a</sup></td>
</tr>
<tr>
<td/>
<td align="center" valign="top" colspan="8">5&#x2013;15&#x2009;cm</td>
</tr>
<tr>
<td align="left" valign="top">K<sub>1</sub></td>
<td align="center" valign="top">6.26<sup>a</sup></td>
<td align="center" valign="top">10.6<sup>a</sup></td>
<td align="center" valign="top">0.69<sup>b</sup></td>
<td align="center" valign="top">1.17<sup>b</sup></td>
<td align="center" valign="top">6.61<sup>a</sup></td>
<td align="center" valign="top">11.2<sup>a</sup></td>
<td align="center" valign="top">1.30<sup>a</sup></td>
<td align="center" valign="top">2.19<sup>a</sup></td>
</tr>
<tr>
<td align="left" valign="top">K<sub>2</sub></td>
<td align="center" valign="top">6.27<sup>a</sup></td>
<td align="center" valign="top">10.6<sup>a</sup></td>
<td align="center" valign="top">0.73<sup>ab</sup></td>
<td align="center" valign="top">1.23<sup>ab</sup></td>
<td align="center" valign="top">8.33<sup>a</sup></td>
<td align="center" valign="top">14.2<sup>a</sup></td>
<td align="center" valign="top">1.67<sup>a</sup></td>
<td align="center" valign="top">2.84<sup>a</sup></td>
</tr>
<tr>
<td align="left" valign="top">K<sub>3</sub></td>
<td align="center" valign="top">6.75<sup>a</sup></td>
<td align="center" valign="top">11.2<sup>a</sup></td>
<td align="center" valign="top">0.78<sup>ab</sup></td>
<td align="center" valign="top">1.28<sup>ab</sup></td>
<td align="center" valign="top">7.15<sup>a</sup></td>
<td align="center" valign="top">11.9<sup>a</sup></td>
<td align="center" valign="top">1.31<sup>a</sup></td>
<td align="center" valign="top">2.17<sup>a</sup></td>
</tr>
<tr>
<td align="left" valign="top">K<sub>4</sub></td>
<td align="center" valign="top">7.35<sup>a</sup></td>
<td align="center" valign="top">12.2<sup>a</sup></td>
<td align="center" valign="top">0.87<sup>a</sup></td>
<td align="center" valign="top">1.44<sup>a</sup></td>
<td align="center" valign="top">8.50<sup>a</sup></td>
<td align="center" valign="top">14.1<sup>a</sup></td>
<td align="center" valign="top">1.62<sup>a</sup></td>
<td align="center" valign="top">2.69<sup>a</sup></td>
</tr>
<tr>
<td align="left" valign="top">K<sub>5</sub></td>
<td align="center" valign="top">7.17<sup>a</sup></td>
<td align="center" valign="top">11.7<sup>a</sup></td>
<td align="center" valign="top">0.71<sup>b</sup></td>
<td align="center" valign="top">1.15<sup>b</sup></td>
<td align="center" valign="top">8.73<sup>a</sup></td>
<td align="center" valign="top">14.2<sup>a</sup></td>
<td align="center" valign="top">1.34<sup>a</sup></td>
<td align="center" valign="top">2.17<sup>a</sup></td>
</tr>
<tr>
<td align="left" valign="top">K<sub>6</sub></td>
<td align="center" valign="top">8.78<sup>a</sup></td>
<td align="center" valign="top">14.4<sup>a</sup></td>
<td align="center" valign="top">0.73<sup>ab</sup></td>
<td align="center" valign="top">1.19<sup>b</sup></td>
<td align="center" valign="top">8.77<sup>a</sup></td>
<td align="center" valign="top">14.3<sup>a</sup></td>
<td align="center" valign="top">1.63<sup>a</sup></td>
<td align="center" valign="top">2.64<sup>a</sup></td>
</tr>
<tr>
<td/>
<td align="center" valign="top" colspan="8">0&#x2013;15&#x2009;cm</td>
</tr>
<tr>
<td align="left" valign="top">K<sub>1</sub></td>
<td align="center" valign="bottom">6.94<sup>a</sup></td>
<td align="center" valign="bottom">17.3<sup>a</sup></td>
<td align="center" valign="bottom">0.76<sup>a</sup></td>
<td align="center" valign="bottom">1.90<sup>a</sup></td>
<td align="center" valign="bottom">7.59<sup>b</sup></td>
<td align="center" valign="bottom">18.9<sup>b</sup></td>
<td align="center" valign="bottom">1.37<sup>a</sup></td>
<td align="center" valign="bottom">3.40<sup>a</sup></td>
</tr>
<tr>
<td align="left" valign="top">K<sub>2</sub></td>
<td align="center" valign="bottom">6.94<sup>a</sup></td>
<td align="center" valign="bottom">17.2<sup>a</sup></td>
<td align="center" valign="bottom">0.80<sup>a</sup></td>
<td align="center" valign="bottom">1.99<sup>a</sup></td>
<td align="center" valign="bottom">9.57<sup>ab</sup></td>
<td align="center" valign="bottom">23.8<sup>ab</sup></td>
<td align="center" valign="bottom">1.76<sup>a</sup></td>
<td align="center" valign="bottom">4.39<sup>a</sup></td>
</tr>
<tr>
<td align="left" valign="top">K<sub>3</sub></td>
<td align="center" valign="bottom">7.16<sup>a</sup></td>
<td align="center" valign="bottom">17.4<sup>a</sup></td>
<td align="center" valign="bottom">0.84<sup>a</sup></td>
<td align="center" valign="bottom">2.02<sup>a</sup></td>
<td align="center" valign="bottom">9.63<sup>ab</sup></td>
<td align="center" valign="bottom">23.1<sup>ab</sup></td>
<td align="center" valign="bottom">1.51<sup>a</sup></td>
<td align="center" valign="bottom">3.66<sup>a</sup></td>
</tr>
<tr>
<td align="left" valign="top">K<sub>4</sub></td>
<td align="center" valign="bottom">9.53<sup>a</sup></td>
<td align="center" valign="bottom">23.0<sup>a</sup></td>
<td align="center" valign="bottom">0.93<sup>a</sup></td>
<td align="center" valign="bottom">2.26<sup>a</sup></td>
<td align="center" valign="bottom">10.6<sup>a</sup></td>
<td align="center" valign="bottom">25.7<sup>a</sup></td>
<td align="center" valign="bottom">1.81<sup>a</sup></td>
<td align="center" valign="bottom">4.37<sup>a</sup></td>
</tr>
<tr>
<td align="left" valign="top">K<sub>5</sub></td>
<td align="center" valign="bottom">7.69<sup>a</sup></td>
<td align="center" valign="bottom">18.6<sup>a</sup></td>
<td align="center" valign="bottom">0.78<sup>a</sup></td>
<td align="center" valign="bottom">1.88<sup>a</sup></td>
<td align="center" valign="bottom">10.3<sup>ab</sup></td>
<td align="center" valign="bottom">24.7<sup>ab</sup></td>
<td align="center" valign="bottom">1.44<sup>a</sup></td>
<td align="center" valign="bottom">3.45<sup>a</sup></td>
</tr>
<tr>
<td align="left" valign="top">K<sub>6</sub></td>
<td align="center" valign="bottom">9.00<sup>a</sup></td>
<td align="center" valign="bottom">21.8<sup>a</sup></td>
<td align="center" valign="bottom">0.86<sup>a</sup></td>
<td align="center" valign="bottom">2.07<sup>a</sup></td>
<td align="center" valign="bottom">11.5<sup>a</sup></td>
<td align="center" valign="bottom">27.5<sup>a</sup></td>
<td align="center" valign="bottom">1.81<sup>a</sup></td>
<td align="center" valign="bottom">4.33<sup>a</sup></td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p>Means followed by same letter among the columns for each parameter are not statistically different by the Tukey&#x2019;s test at <italic>p</italic>&#x2009;&#x003C;&#x2009;0.05 (comparisons made among the treatments). K<sub>1</sub>-Conventional till (CT) rice-wheat with residue removed from all crops, K2-Conventional till (CT) rice-wheat-mungbean with residue retained from all crops, K3-Zero till (ZT) direct seeded rice (DSR)-wheat with residue removed from all crops, K4-Zero till (ZT) direct seeded rice (DSR)-wheat-mungbean with residue retained from all crops, K5-Permanent raised bed (PB) maize-wheat with residue removed from all crops, K6-Permanent raised bed (PB) maize-wheat-mungbean with residue retained from all crops.</p>
</table-wrap-foot>
</table-wrap>
<p>TOC stocks in the 0&#x2013;15&#x2009;cm layer significantly differed in 2015 and 2017, with K6 and K4 substantially higher by 8 to 13% than K1. TN stocks showed significant differences in K4 and K6 2015 (18 and 9%) and 2017 (31 and 27%).</p>
<p>In Samastipur, TOC stocks at 0&#x2013;5&#x2009;cm depth differed significantly in both sampling periods, with the highest in S2 (24%) and S3 (26%) in 2016 and S2 (20%) in 2018 showing significantly higher stocks than others (<xref ref-type="table" rid="tab5">Table 5</xref>). TN stocks at 0&#x2013;5&#x2009;cm showed significant differences in all the treatments (S2 to S4) over S1. At 5&#x2013;15&#x2009;cm depth, TOC and TN stocks in 2016 and 2018 showed no significant changes. Overall, TOC stocks at 0&#x2013;15&#x2009;cm depth varied significantly, with the highest values recorded in S3 (11%) in 2016 and 2018 (8%), while TN stocks showed improvement in 2016 with highest level in S2 (28%) and S4 (30%) but there was no change or variation in 2018.</p>
<table-wrap position="float" id="tab5">
<label>Table 5</label>
<caption>
<p>Carbon and nitrogen stock under different tillage and residue management practices in Samastipur.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th/>
<th align="center" valign="top" colspan="4">2016</th>
<th align="center" valign="top" colspan="4">2018</th>
</tr>
<tr>
<th/>
<th align="center" valign="top">TOC (g&#x2009;kg<sup>&#x2212;1</sup>)</th>
<th align="center" valign="top">TOC stock (Mg&#x2009;ha<sup>&#x2212;1</sup>)</th>
<th align="center" valign="top">TN (g&#x2009;kg<sup>&#x2212;1</sup>)</th>
<th align="center" valign="top">TN stock (Mg&#x2009;ha<sup>&#x2212;1</sup>)</th>
<th align="center" valign="top">TOC (g&#x2009;kg<sup>&#x2212;1</sup>)</th>
<th align="center" valign="top">TOC stock (Mg&#x2009;ha<sup>&#x2212;1</sup>)</th>
<th align="center" valign="top">TN (g&#x2009;kg<sup>&#x2212;1</sup>)</th>
<th align="center" valign="top">TN stock (Mg&#x2009;ha<sup>&#x2212;1</sup>)</th>
</tr>
</thead>
<tbody>
<tr>
<td/>
<td align="center" valign="top" colspan="8">0&#x2013;5&#x2009;cm</td>
</tr>
<tr>
<td align="left" valign="top">S<sub>1</sub></td>
<td align="center" valign="top">7.59<sup>c</sup></td>
<td align="center" valign="top">6.78<sup>b</sup></td>
<td align="center" valign="top">0.50<sup>a</sup></td>
<td align="center" valign="top">0.44<sup>a</sup></td>
<td align="center" valign="top">8.35<sup>c</sup></td>
<td align="center" valign="top">7.45<sup>b</sup></td>
<td align="center" valign="top">1.17<sup>a</sup></td>
<td align="center" valign="top">0.91<sup>a</sup></td>
</tr>
<tr>
<td align="left" valign="top">S<sub>2</sub></td>
<td align="center" valign="top">9.59<sup>b</sup></td>
<td align="center" valign="top">8.38<sup>a</sup></td>
<td align="center" valign="top">0.99<sup>a</sup></td>
<td align="center" valign="top">0.87<sup>a</sup></td>
<td align="center" valign="top">13.3<sup>a</sup></td>
<td align="center" valign="top">11.6<sup>a</sup></td>
<td align="center" valign="top">1.63<sup>a</sup></td>
<td align="center" valign="top">1.46<sup>a</sup></td>
</tr>
<tr>
<td align="left" valign="top">S<sub>3</sub></td>
<td align="center" valign="top">11.1<sup>a</sup></td>
<td align="center" valign="top">8.52<sup>a</sup></td>
<td align="center" valign="top">0.87<sup>a</sup></td>
<td align="center" valign="top">0.66<sup>a</sup></td>
<td align="center" valign="top">11.1<sup>b</sup></td>
<td align="center" valign="top">8.56<sup>b</sup></td>
<td align="center" valign="top">1.36<sup>a</sup></td>
<td align="center" valign="top">1.19<sup>a</sup></td>
</tr>
<tr>
<td align="left" valign="top">S<sub>4</sub></td>
<td align="center" valign="top">10.2<sup>ab</sup></td>
<td align="center" valign="top">7.74<sup>ab</sup></td>
<td align="center" valign="top">1.00<sup>a</sup></td>
<td align="center" valign="top">0.77<sup>a</sup></td>
<td align="center" valign="top">11.0<sup>b</sup></td>
<td align="center" valign="top">8.37<sup>b</sup></td>
<td align="center" valign="top">1.28<sup>a</sup></td>
<td align="center" valign="top">0.98<sup>a</sup></td>
</tr>
<tr>
<td/>
<td align="center" valign="top" colspan="8">5&#x2013;15&#x2009;cm</td>
</tr>
<tr>
<td align="left" valign="top">S<sub>1</sub></td>
<td align="center" valign="top">4.85<sup>b</sup></td>
<td align="center" valign="top">8.38<sup>b</sup></td>
<td align="center" valign="top">0.40<sup>a</sup></td>
<td align="center" valign="top">0.69<sup>a</sup></td>
<td align="center" valign="top">6.57<sup>c</sup></td>
<td align="center" valign="top">11.4<sup>b</sup></td>
<td align="center" valign="top">1.68<sup>ab</sup></td>
<td align="center" valign="top">2.90<sup>ab</sup></td>
</tr>
<tr>
<td align="left" valign="top">S<sub>2</sub></td>
<td align="center" valign="top">4.79<sup>b</sup></td>
<td align="center" valign="top">8.05<sup>b</sup></td>
<td align="center" valign="top">0.29<sup>a</sup></td>
<td align="center" valign="top">0.48<sup>a</sup></td>
<td align="center" valign="top">7.77<sup>bc</sup></td>
<td align="center" valign="top">13.0<sup>ab</sup></td>
<td align="center" valign="top">1.87<sup>ab</sup></td>
<td align="center" valign="top">3.14<sup>ab</sup></td>
</tr>
<tr>
<td align="left" valign="top">S<sub>3</sub></td>
<td align="center" valign="top">5.22<sup>b</sup></td>
<td align="center" valign="top">8.27<sup>b</sup></td>
<td align="center" valign="top">0.41<sup>a</sup></td>
<td align="center" valign="top">0.65<sup>a</sup></td>
<td align="center" valign="top">11.2<sup>a</sup></td>
<td align="center" valign="top">17.7<sup>a</sup></td>
<td align="center" valign="top">2.11<sup>a</sup></td>
<td align="center" valign="top">3.30<sup>a</sup></td>
</tr>
<tr>
<td align="left" valign="top">S<sub>4</sub></td>
<td align="center" valign="top">7.16<sup>a</sup></td>
<td align="center" valign="top">11.7<sup>a</sup></td>
<td align="center" valign="top">0.49<sup>a</sup></td>
<td align="center" valign="top">0.80<sup>a</sup></td>
<td align="center" valign="top">9.70<sup>ab</sup></td>
<td align="center" valign="top">15.8<sup>ab</sup></td>
<td align="center" valign="top">0.78<sup>b</sup></td>
<td align="center" valign="top">1.27<sup>b</sup></td>
</tr>
<tr>
<td/>
<td align="center" valign="top" colspan="8">0&#x2013;15&#x2009;cm</td>
</tr>
<tr>
<td align="left" valign="top">S<sub>1</sub></td>
<td align="center" valign="bottom">5.76<sup>c</sup></td>
<td align="center" valign="bottom">15.2<sup>b</sup></td>
<td align="center" valign="bottom">0.43<sup>a</sup></td>
<td align="center" valign="bottom">1.13<sup>a</sup></td>
<td align="center" valign="bottom">7.16<sup>b</sup></td>
<td align="center" valign="bottom">18.9<sup>b</sup></td>
<td align="center" valign="bottom">1.51<sup>a</sup></td>
<td align="center" valign="bottom">3.81<sup>a</sup></td>
</tr>
<tr>
<td align="left" valign="top">S<sub>2</sub></td>
<td align="center" valign="bottom">6.39<sup>bc</sup></td>
<td align="center" valign="bottom">16.4<sup>b</sup></td>
<td align="center" valign="bottom">0.52<sup>a</sup></td>
<td align="center" valign="bottom">1.35<sup>a</sup></td>
<td align="center" valign="bottom">9.61<sup>a</sup></td>
<td align="center" valign="bottom">24.6<sup>ab</sup></td>
<td align="center" valign="bottom">1.79<sup>a</sup></td>
<td align="center" valign="bottom">4.60<sup>a</sup></td>
</tr>
<tr>
<td align="left" valign="top">S<sub>3</sub></td>
<td align="center" valign="bottom">7.18<sup>ab</sup></td>
<td align="center" valign="bottom">16.8<sup>ab</sup></td>
<td align="center" valign="bottom">0.56<sup>a</sup></td>
<td align="center" valign="bottom">1.31<sup>a</sup></td>
<td align="center" valign="bottom">11.2<sup>a</sup></td>
<td align="center" valign="bottom">26.3<sup>a</sup></td>
<td align="center" valign="bottom">1.86<sup>a</sup></td>
<td align="center" valign="bottom">4.49<sup>a</sup></td>
</tr>
<tr>
<td align="left" valign="top">S<sub>4</sub></td>
<td align="center" valign="bottom">8.17<sup>a</sup></td>
<td align="center" valign="bottom">19.4<sup>a</sup></td>
<td align="center" valign="bottom">0.66<sup>a</sup></td>
<td align="center" valign="bottom">1.57<sup>a</sup></td>
<td align="center" valign="bottom">10.1<sup>a</sup></td>
<td align="center" valign="bottom">24.2<sup>ab</sup></td>
<td align="center" valign="bottom">0.95<sup>a</sup></td>
<td align="center" valign="bottom">2.25<sup>a</sup></td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p>Means followed by same letter among the columns for each parameter are not statistically different by the Tukey&#x2019;s test at <italic>p</italic>&#x2009;&#x003C;&#x2009;0.05 (comparisons made among the treatments). S1-Conventional till, S2-Zero till direct seeded rice-wheat-mungbean with residue retained from all crops rice-wheat, S3-Permanent raised bed maize-wheat-mungbean with residue retained from all crops, S<sub>4</sub>-Permanent raised bed maize-mustard-mungbean with residue retained from all crops.</p>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="sec16">
<label>3.3</label>
<title>POXC as a labile pool of TOC and its stock</title>
<p>In Karnal, the POXC content and stock exhibited no significant differences among the treatments in 2015 at all the soil depths (0&#x2013;5&#x2009;cm, 5&#x2013;15&#x2009;cm, and 0&#x2013;15&#x2009;cm; <xref ref-type="table" rid="tab6">Table 6</xref>). In 2017, POXC stock was 37.0% higher in K4 than in K1 at 0&#x2013;5&#x2009;cm soil depth. No significant differences were observed among the treatments in 2017 at 5&#x2013;15&#x2009;cm depth. In 0&#x2013;15&#x2009;cm depth, POXC content and stock showed a similar trend as 0&#x2013;5&#x2009;cm depth, with the highest value in K4, which was 32.5% higher than K1 after the 2018 sampling. In Samastipur, POXC stock at 0&#x2013;5&#x2009;cm depth recorded no significant difference in 2016, whereas, in 2018, S2 showed 93.8% higher POXC stock than S1 at 0&#x2013;5&#x2009;cm depth (<xref ref-type="table" rid="tab7">Table 7</xref>).</p>
<table-wrap position="float" id="tab6">
<label>Table 6</label>
<caption>
<p>Permanganate oxidisable carbon (POXC) content and stock in different tillage and residue management in Karnal.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th/>
<th align="center" valign="top" colspan="2">2015</th>
<th align="center" valign="top" colspan="2">2017</th>
</tr>
<tr>
<th/>
<th align="center" valign="top">POXC (mg&#x2009;kg<sup>&#x2212;1</sup>)</th>
<th align="center" valign="top">POXC stock (Mg&#x2009;ha<sup>&#x2212;1</sup>)</th>
<th align="center" valign="top">POXC (mg&#x2009;kg<sup>&#x2212;1</sup>)</th>
<th align="center" valign="top">POXC stock (Mg&#x2009;ha<sup>&#x2212;1</sup>)</th>
</tr>
</thead>
<tbody>
<tr>
<td/>
<td align="center" valign="top" colspan="4">0&#x2013;5&#x2009;cm</td>
</tr>
<tr>
<td align="left" valign="top">K<sub>1</sub></td>
<td align="center" valign="top">325.2<sup>a</sup></td>
<td align="center" valign="top">0.26<sup>a</sup></td>
<td align="center" valign="top">331.6<sup>b</sup></td>
<td align="center" valign="top">0.27<sup>b</sup></td>
</tr>
<tr>
<td align="left" valign="top">K<sub>2</sub></td>
<td align="center" valign="top">340.5<sup>a</sup></td>
<td align="center" valign="top">0.27<sup>a</sup></td>
<td align="center" valign="top">378.2<sup>ab</sup></td>
<td align="center" valign="top">0.30<sup>ab</sup></td>
</tr>
<tr>
<td align="left" valign="top">K<sub>3</sub></td>
<td align="center" valign="top">387.8<sup>a</sup></td>
<td align="center" valign="top">0.30<sup>a</sup></td>
<td align="center" valign="top">400.7<sup>ab</sup></td>
<td align="center" valign="top">0.31<sup>ab</sup></td>
</tr>
<tr>
<td align="left" valign="top">K<sub>4</sub></td>
<td align="center" valign="top">416.2<sup>a</sup></td>
<td align="center" valign="top">0.33<sup>a</sup></td>
<td align="center" valign="top">478.0<sup>a</sup></td>
<td align="center" valign="top">0.37<sup>a</sup></td>
</tr>
<tr>
<td align="left" valign="top">K<sub>5</sub></td>
<td align="center" valign="top">348.5<sup>a</sup></td>
<td align="center" valign="top">0.27<sup>a</sup></td>
<td align="center" valign="top">364.1<sup>b</sup></td>
<td align="center" valign="top">0.29<sup>b</sup></td>
</tr>
<tr>
<td align="left" valign="top">K<sub>6</sub></td>
<td align="center" valign="top">352.3<sup>a</sup></td>
<td align="center" valign="top">0.28<sup>a</sup></td>
<td align="center" valign="top">382.7<sup>ab</sup></td>
<td align="center" valign="top">0.30<sup>ab</sup></td>
</tr>
<tr>
<td/>
<td align="center" valign="top" colspan="4">5&#x2013;15&#x2009;cm</td>
</tr>
<tr>
<td align="left" valign="top">K<sub>1</sub></td>
<td align="center" valign="top">321.9<sup>a</sup></td>
<td align="center" valign="top">0.55<sup>a</sup></td>
<td align="center" valign="top">299.2<sup>ab</sup></td>
<td align="center" valign="top">0.51<sup>ab</sup></td>
</tr>
<tr>
<td align="left" valign="top">K<sub>2</sub></td>
<td align="center" valign="top">331.9<sup>a</sup></td>
<td align="center" valign="top">0.56<sup>a</sup></td>
<td align="center" valign="top">346.6<sup>ab</sup></td>
<td align="center" valign="top">0.59<sup>ab</sup></td>
</tr>
<tr>
<td align="left" valign="top">K<sub>3</sub></td>
<td align="center" valign="top">322.1<sup>a</sup></td>
<td align="center" valign="top">0.53<sup>a</sup></td>
<td align="center" valign="top">264.9<sup>b</sup></td>
<td align="center" valign="top">0.44<sup>b</sup></td>
</tr>
<tr>
<td align="left" valign="top">K<sub>4</sub></td>
<td align="center" valign="top">343.3<sup>a</sup></td>
<td align="center" valign="top">0.57<sup>a</sup></td>
<td align="center" valign="top">391.5<sup>a</sup></td>
<td align="center" valign="top">0.65<sup>a</sup></td>
</tr>
<tr>
<td align="left" valign="top">K<sub>5</sub></td>
<td align="center" valign="top">301.2<sup>a</sup></td>
<td align="center" valign="top">0.49<sup>a</sup></td>
<td align="center" valign="top">280.9<sup>ab</sup></td>
<td align="center" valign="top">0.46<sup>ab</sup></td>
</tr>
<tr>
<td align="left" valign="top">K<sub>6</sub></td>
<td align="center" valign="top">336.3<sup>a</sup></td>
<td align="center" valign="top">0.55<sup>a</sup></td>
<td align="center" valign="top">340.4<sup>ab</sup></td>
<td align="center" valign="top">0.56<sup>ab</sup></td>
</tr>
<tr>
<td/>
<td align="center" valign="top" colspan="4">0&#x2013;15&#x2009;cm</td>
</tr>
<tr>
<td align="left" valign="top">K<sub>1</sub></td>
<td align="center" valign="top">323.0<sup>a</sup></td>
<td align="center" valign="top">0.81<sup>a</sup></td>
<td align="center" valign="top">310.0<sup>b</sup></td>
<td align="center" valign="top">0.77<sup>ab</sup></td>
</tr>
<tr>
<td align="left" valign="top">K<sub>2</sub></td>
<td align="center" valign="top">334.7<sup>a</sup></td>
<td align="center" valign="top">0.84<sup>a</sup></td>
<td align="center" valign="top">357.2<sup>ab</sup></td>
<td align="center" valign="top">0.89<sup>ab</sup></td>
</tr>
<tr>
<td align="left" valign="top">K<sub>3</sub></td>
<td align="center" valign="top">344.0<sup>a</sup></td>
<td align="center" valign="top">0.83<sup>a</sup></td>
<td align="center" valign="top">310.2<sup>b</sup></td>
<td align="center" valign="top">0.75<sup>b</sup></td>
</tr>
<tr>
<td align="left" valign="top">K<sub>4</sub></td>
<td align="center" valign="top">367.6<sup>a</sup></td>
<td align="center" valign="top">0.89<sup>a</sup></td>
<td align="center" valign="top">420.3<sup>a</sup></td>
<td align="center" valign="top">1.02<sup>a</sup></td>
</tr>
<tr>
<td align="left" valign="top">K<sub>5</sub></td>
<td align="center" valign="top">317.0<sup>a</sup></td>
<td align="center" valign="top">0.76<sup>a</sup></td>
<td align="center" valign="top">308.6<sup>b</sup></td>
<td align="center" valign="top">0.74<sup>b</sup></td>
</tr>
<tr>
<td align="left" valign="top">K<sub>6</sub></td>
<td align="center" valign="top">341.6<sup>a</sup></td>
<td align="center" valign="top">0.83<sup>a</sup></td>
<td align="center" valign="top">354.5<sup>ab</sup></td>
<td align="center" valign="top">0.86<sup>ab</sup></td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p>Means followed by same letter among the columns for each parameter are not statistically different by the Tukey&#x2019;s test at <italic>p</italic>&#x2009;&#x003C;&#x2009;0.05 (comparisons made among the treatments). K<sub>1</sub>-Conventional till (CT) rice-wheat with residue removed from all crops, K2-Conventional till (CT) rice-wheat-mungbean with residue retained from all crops, K3-Zero till (ZT) direct seeded rice (DSR)-wheat with residue removed from all crops, K4-Zero till (ZT) direct seeded rice (DSR)-wheat-mungbean with residue retained from all crops, K5-Permanent raised bed (PB) maize-wheat with residue removed from all crops, K6-Permanent raised bed (PB) maize-wheat-mungbean with residue retained from all crops.</p>
</table-wrap-foot>
</table-wrap>
<table-wrap position="float" id="tab7">
<label>Table 7</label>
<caption>
<p>Permanganate oxidisable carbon (POXC) stock under different tillage and residue management practices in Samastipur.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th/>
<th align="center" valign="top" colspan="2">2016</th>
<th align="center" valign="top" colspan="2">2018</th>
</tr>
<tr>
<th/>
<th align="center" valign="top">POXC (mg&#x2009;kg<sup>&#x2212;1</sup>)</th>
<th align="center" valign="top">POXC stock (Mg&#x2009;ha<sup>&#x2212;1</sup>)</th>
<th align="center" valign="top">POXC (mg&#x2009;kg<sup>&#x2212;1</sup>)</th>
<th align="center" valign="top">POXC stock (Mg&#x2009;ha<sup>&#x2212;1</sup>)</th>
</tr>
</thead>
<tbody>
<tr>
<td/>
<td align="center" valign="top" colspan="4">0&#x2013;5&#x2009;cm</td>
</tr>
<tr>
<td align="left" valign="top">S<sub>1</sub></td>
<td align="center" valign="top">153.4<sup>a</sup></td>
<td align="center" valign="top">0.14<sup>a</sup></td>
<td align="center" valign="top">175.8<sup>b</sup></td>
<td align="center" valign="top">0.16<sup>b</sup></td>
</tr>
<tr>
<td align="left" valign="top">S<sub>2</sub></td>
<td align="center" valign="top">209.5<sup>a</sup></td>
<td align="center" valign="top">0.18<sup>a</sup></td>
<td align="center" valign="top">351.0<sup>a</sup></td>
<td align="center" valign="top">0.31<sup>a</sup></td>
</tr>
<tr>
<td align="left" valign="top">S<sub>3</sub></td>
<td align="center" valign="top">224.1<sup>a</sup></td>
<td align="center" valign="top">0.18<sup>a</sup></td>
<td align="center" valign="top">258.9<sup>ab</sup></td>
<td align="center" valign="top">0.20<sup>b</sup></td>
</tr>
<tr>
<td align="left" valign="top">S<sub>4</sub></td>
<td align="center" valign="top">271.3<sup>a</sup></td>
<td align="center" valign="top">0.21<sup>a</sup></td>
<td align="center" valign="top">245.4<sup>b</sup></td>
<td align="center" valign="top">0.19<sup>b</sup></td>
</tr>
<tr>
<td/>
<td align="center" valign="top" colspan="4">5&#x2013;15&#x2009;cm</td>
</tr>
<tr>
<td align="left" valign="top">S<sub>1</sub></td>
<td align="center" valign="top">146.8<sup>a</sup></td>
<td align="center" valign="top">0.25<sup>a</sup></td>
<td align="center" valign="top">157.8<sup>b</sup></td>
<td align="center" valign="top">0.27<sup>a</sup></td>
</tr>
<tr>
<td align="left" valign="top">S<sub>2</sub></td>
<td align="center" valign="top">192.7<sup>a</sup></td>
<td align="center" valign="top">0.32<sup>a</sup></td>
<td align="center" valign="top">249.9<sup>a</sup></td>
<td align="center" valign="top">0.42<sup>a</sup></td>
</tr>
<tr>
<td align="left" valign="top">S<sub>3</sub></td>
<td align="center" valign="top">187.8<sup>a</sup></td>
<td align="center" valign="top">0.30<sup>a</sup></td>
<td align="center" valign="top">205.0<sup>ab</sup></td>
<td align="center" valign="top">0.33<sup>a</sup></td>
</tr>
<tr>
<td align="left" valign="top">S<sub>4</sub></td>
<td align="center" valign="top">191.5<sup>a</sup></td>
<td align="center" valign="top">0.32<sup>a</sup></td>
<td align="center" valign="top">215.1<sup>ab</sup></td>
<td align="center" valign="top">0.35<sup>a</sup></td>
</tr>
<tr>
<td/>
<td align="center" valign="top" colspan="4">0&#x2013;15&#x2009;cm</td>
</tr>
<tr>
<td align="left" valign="top">S<sub>1</sub></td>
<td align="center" valign="top">149.0<sup>b</sup></td>
<td align="center" valign="top">0.39<sup>a</sup></td>
<td align="center" valign="top">163.8<sup>b</sup></td>
<td align="center" valign="top">0.43<sup>b</sup></td>
</tr>
<tr>
<td align="left" valign="top">S<sub>2</sub></td>
<td align="center" valign="top">198.2<sup>ab</sup></td>
<td align="center" valign="top">0.51<sup>a</sup></td>
<td align="center" valign="top">283.6<sup>a</sup></td>
<td align="center" valign="top">0.73<sup>a</sup></td>
</tr>
<tr>
<td align="left" valign="top">S<sub>3</sub></td>
<td align="center" valign="top">199.9<sup>ab</sup></td>
<td align="center" valign="top">0.47<sup>a</sup></td>
<td align="center" valign="top">223.0<sup>ab</sup></td>
<td align="center" valign="top">0.52<sup>ab</sup></td>
</tr>
<tr>
<td align="left" valign="top">S<sub>4</sub></td>
<td align="center" valign="top">218.1<sup>a</sup></td>
<td align="center" valign="top">0.52<sup>a</sup></td>
<td align="center" valign="top">225.2<sup>ab</sup></td>
<td align="center" valign="top">0.54<sup>ab</sup></td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p>Means followed by same letter among the columns for each parameter are not statistically different by the Tukey&#x2019;s test at <italic>p</italic>&#x2009;&#x003C;&#x2009;0.05 (comparisons made among the treatments). S1-Conventional till, S2-Zero till direct seeded rice-wheat-mungbean with residue retained from all crops rice-wheat, S3-Permanent raised bed maize-wheat-mungbean with residue retained from all crops, S<sub>4</sub>-Permanent raised bed maize-mustard-mungbean with residue retained from all crops.</p>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="sec17">
<label>3.4</label>
<title>Characteristics of POM fractions</title>
<sec id="sec18">
<label>3.4.1</label>
<title>Physical fractionation and associated C and N stock in Karnal</title>
<p>Crop residue significantly increased cPOM mass at 0&#x2013;5&#x2009;cm depth but had minimal impact on fPOM and OMF (<xref ref-type="table" rid="tab8">Table 8</xref>). In 2015, cPOM mass in K4 and K6 was 78.8 and 79.7% higher than K1. By 2017, K4&#x2019;s cPOM was 3.90 times higher than K1. TOC and TN in cPOM significantly differed in 2017, with K4 highest at 3.42&#x2009;Mg C ha<sup>&#x2212;1</sup> and 0.37&#x2009;Mg&#x2009;N&#x2009;ha<sup>&#x2212;1</sup>. No difference was noted at 5&#x2013;15&#x2009;cm in cPOM, fPOM, and OMF mass or stocks (<xref rid="SM1" ref-type="supplementary-material">Supplementary Table S4</xref>). By 2017, only cPOM showed significant differences in mass, TOC, and TN at 0&#x2013;15&#x2009;cm depth, with K4&#x2019;s TOC highest at 4.94&#x2009;Mg C ha<sup>&#x2212;1</sup>, 3.53 times above K1 (<xref rid="SM1" ref-type="supplementary-material">Supplementary Table S5</xref>), mirroring the trend in TN stock. PB treatments (K5 and K6) under maize-wheat with or without residue and mungbean showed no significant difference.</p>
<table-wrap position="float" id="tab8">
<label>Table 8</label>
<caption>
<p>Characterization of different particulate fraction under different tillage and residue management in Karnal at 0&#x2013;5&#x2009;cm soil depth.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th/>
<th align="center" valign="bottom" colspan="3">2015</th>
<th align="center" valign="bottom" colspan="3">2017</th>
</tr>
<tr>
<th/>
<th align="center" valign="top">cPOM</th>
<th align="center" valign="top">fPOM</th>
<th align="center" valign="top">OMF</th>
<th align="center" valign="top">cPOM</th>
<th align="center" valign="top">fPOM</th>
<th align="center" valign="top">OMF</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top" colspan="7">Proportional mass in fraction (%)</td>
</tr>
<tr>
<td align="left" valign="top">K<sub>1</sub></td>
<td align="center" valign="bottom">2.36<sup>ab</sup></td>
<td align="center" valign="bottom">40.5<sup>a</sup></td>
<td align="center" valign="bottom">57.1<sup>a</sup></td>
<td align="center" valign="bottom">2.36<sup>b</sup></td>
<td align="center" valign="bottom">40.4<sup>a</sup></td>
<td align="center" valign="bottom">57.3<sup>a</sup></td>
</tr>
<tr>
<td align="left" valign="top">K<sub>2</sub></td>
<td align="center" valign="bottom">2.74<sup>ab</sup></td>
<td align="center" valign="bottom">40.8<sup>a</sup></td>
<td align="center" valign="bottom">56.5<sup>a</sup></td>
<td align="center" valign="bottom">4.01<sup>b</sup></td>
<td align="center" valign="bottom">39.5<sup>a</sup></td>
<td align="center" valign="bottom">56.5<sup>a</sup></td>
</tr>
<tr>
<td align="left" valign="top">K<sub>3</sub></td>
<td align="center" valign="bottom">2.65<sup>ab</sup></td>
<td align="center" valign="bottom">37.4<sup>a</sup></td>
<td align="center" valign="bottom">60.0<sup>a</sup></td>
<td align="center" valign="bottom">5.27<sup>b</sup></td>
<td align="center" valign="bottom">37.0<sup>a</sup></td>
<td align="center" valign="bottom">57.7<sup>a</sup></td>
</tr>
<tr>
<td align="left" valign="top">K<sub>4</sub></td>
<td align="center" valign="bottom">4.22<sup>a</sup></td>
<td align="center" valign="bottom">42.4<sup>a</sup></td>
<td align="center" valign="bottom">53.4<sup>a</sup></td>
<td align="center" valign="bottom">9.21<sup>a</sup></td>
<td align="center" valign="bottom">34.5<sup>a</sup></td>
<td align="center" valign="bottom">56.3<sup>a</sup></td>
</tr>
<tr>
<td align="left" valign="top">K<sub>5</sub></td>
<td align="center" valign="bottom">2.11<sup>b</sup></td>
<td align="center" valign="bottom">39.4<sup>a</sup></td>
<td align="center" valign="bottom">58.5<sup>a</sup></td>
<td align="center" valign="bottom">3.70<sup>b</sup></td>
<td align="center" valign="bottom">37.6<sup>a</sup></td>
<td align="center" valign="bottom">58.7<sup>a</sup></td>
</tr>
<tr>
<td align="left" valign="top">K<sub>6</sub></td>
<td align="center" valign="bottom">4.24<sup>a</sup></td>
<td align="center" valign="bottom">35.4<sup>a</sup></td>
<td align="center" valign="bottom">60.4<sup>a</sup></td>
<td align="center" valign="bottom">5.08<sup>b</sup></td>
<td align="center" valign="bottom">36.6<sup>a</sup></td>
<td align="center" valign="bottom">58.3<sup>a</sup></td>
</tr>
<tr>
<td align="left" valign="top" colspan="7">TOC stock in fraction (Mg C ha<sup>&#x2212;1</sup>)</td>
</tr>
<tr>
<td align="left" valign="top">K<sub>1</sub></td>
<td align="center" valign="bottom">0.60<sup>a</sup></td>
<td align="center" valign="bottom">1.04<sup>a</sup></td>
<td align="center" valign="bottom">3.28<sup>a</sup></td>
<td align="center" valign="bottom">0.56<sup>c</sup></td>
<td align="center" valign="bottom">0.53<sup>a</sup></td>
<td align="center" valign="bottom">2.96<sup>a</sup></td>
</tr>
<tr>
<td align="left" valign="top">K<sub>2</sub></td>
<td align="center" valign="bottom">0.81<sup>a</sup></td>
<td align="center" valign="bottom">1.16<sup>a</sup></td>
<td align="center" valign="bottom">3.18<sup>a</sup></td>
<td align="center" valign="bottom">1.33<sup>bc</sup></td>
<td align="center" valign="bottom">1.52<sup>a</sup></td>
<td align="center" valign="bottom">3.30<sup>a</sup></td>
</tr>
<tr>
<td align="left" valign="top">K<sub>3</sub></td>
<td align="center" valign="bottom">0.79<sup>a</sup></td>
<td align="center" valign="bottom">1.21<sup>a</sup></td>
<td align="center" valign="bottom">3.22<sup>a</sup></td>
<td align="center" valign="bottom">1.71<sup>b</sup></td>
<td align="center" valign="bottom">2.24<sup>a</sup></td>
<td align="center" valign="bottom">3.57<sup>a</sup></td>
</tr>
<tr>
<td align="left" valign="top">K<sub>4</sub></td>
<td align="center" valign="bottom">1.45<sup>a</sup></td>
<td align="center" valign="bottom">1.41<sup>a</sup></td>
<td align="center" valign="bottom">3.08<sup>a</sup></td>
<td align="center" valign="bottom">3.42<sup>a</sup></td>
<td align="center" valign="bottom">1.29<sup>a</sup></td>
<td align="center" valign="bottom">5.25<sup>a</sup></td>
</tr>
<tr>
<td align="left" valign="top">K<sub>5</sub></td>
<td align="center" valign="bottom">0.60<sup>a</sup></td>
<td align="center" valign="bottom">1.16<sup>a</sup></td>
<td align="center" valign="bottom">3.22<sup>a</sup></td>
<td align="center" valign="bottom">1.33<sup>bc</sup></td>
<td align="center" valign="bottom">1.10<sup>a</sup></td>
<td align="center" valign="bottom">4.03<sup>a</sup></td>
</tr>
<tr>
<td align="left" valign="top">K<sub>6</sub></td>
<td align="center" valign="bottom">1.54<sup>a</sup></td>
<td align="center" valign="bottom">1.11<sup>a</sup></td>
<td align="center" valign="bottom">3.86<sup>a</sup></td>
<td align="center" valign="bottom">2.00<sup>b</sup></td>
<td align="center" valign="bottom">1.21<sup>a</sup></td>
<td align="center" valign="bottom">3.60<sup>a</sup></td>
</tr>
<tr>
<td align="left" valign="top" colspan="7">TN stock in fraction (Mg&#x2009;N&#x2009;ha<sup>&#x2212;1</sup>)</td>
</tr>
<tr>
<td align="left" valign="top">K<sub>1</sub></td>
<td align="center" valign="bottom">0.05<sup>a</sup></td>
<td align="center" valign="bottom">0.40<sup>a</sup></td>
<td align="center" valign="bottom">0.84<sup>a</sup></td>
<td align="center" valign="bottom">0.04<sup>b</sup></td>
<td align="center" valign="bottom">0.21<sup>a</sup></td>
<td align="center" valign="bottom">0.32<sup>a</sup></td>
</tr>
<tr>
<td align="left" valign="top">K<sub>2</sub></td>
<td align="center" valign="bottom">0.07<sup>a</sup></td>
<td align="center" valign="bottom">0.40<sup>a</sup></td>
<td align="center" valign="bottom">0.76<sup>a</sup></td>
<td align="center" valign="bottom">0.09<sup>b</sup></td>
<td align="center" valign="bottom">0.22<sup>a</sup></td>
<td align="center" valign="bottom">0.54<sup>a</sup></td>
</tr>
<tr>
<td align="left" valign="top">K<sub>3</sub></td>
<td align="center" valign="bottom">0.06<sup>a</sup></td>
<td align="center" valign="bottom">0.36<sup>a</sup></td>
<td align="center" valign="bottom">0.63<sup>a</sup></td>
<td align="center" valign="bottom">0.17<sup>b</sup></td>
<td align="center" valign="bottom">0.24<sup>a</sup></td>
<td align="center" valign="bottom">0.39<sup>a</sup></td>
</tr>
<tr>
<td align="left" valign="top">K<sub>4</sub></td>
<td align="center" valign="bottom">0.09<sup>a</sup></td>
<td align="center" valign="bottom">0.35<sup>a</sup></td>
<td align="center" valign="bottom">0.58<sup>a</sup></td>
<td align="center" valign="bottom">0.37<sup>a</sup></td>
<td align="center" valign="bottom">0.21<sup>a</sup></td>
<td align="center" valign="bottom">0.73<sup>a</sup></td>
</tr>
<tr>
<td align="left" valign="top">K<sub>5</sub></td>
<td align="center" valign="bottom">0.05<sup>a</sup></td>
<td align="center" valign="bottom">0.35<sup>a</sup></td>
<td align="center" valign="bottom">0.57<sup>a</sup></td>
<td align="center" valign="bottom">0.11<sup>b</sup></td>
<td align="center" valign="bottom">0.24<sup>a</sup></td>
<td align="center" valign="bottom">0.32<sup>a</sup></td>
</tr>
<tr>
<td align="left" valign="top">K<sub>6</sub></td>
<td align="center" valign="bottom">0.11<sup>a</sup></td>
<td align="center" valign="bottom">0.31<sup>a</sup></td>
<td align="center" valign="bottom">0.80<sup>a</sup></td>
<td align="center" valign="bottom">0.14<sup>b</sup></td>
<td align="center" valign="bottom">0.18<sup>a</sup></td>
<td align="center" valign="bottom">0.40<sup>a</sup></td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p>Means followed by same letter among the columns for each POM fractions are not statistically different by the Tukey&#x2019;s test at <italic>p</italic>&#x2009;&#x003C;&#x2009;0.05 (comparisons made among the treatments). K<sub>1</sub>-Conventional till (CT) rice-wheat with residue removed from all crops, K2-Conventional till (CT) rice-wheat-mungbean with residue retained from all crops, K3-Zero till (ZT) direct seeded rice (DSR)-wheat with residue removed from all crops, K4-Zero till (ZT) direct seeded rice (DSR)-wheat-mungbean with residue retained from all crops, K5-Permanent raised bed (PB) maize-wheat with residue removed from all crops, K6-Permanent raised bed (PB) maize-wheat-mungbean with residue retained from all crops.</p>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="sec19">
<label>3.4.2</label>
<title>Physical fractionation and associated C and N stock in Samastipur</title>
<p>At 0&#x2013;5&#x2009;cm depth, significant differences in mass proportions were observed among treatments, except for fPOM in 2018 (<xref ref-type="table" rid="tab9">Table 9</xref>). CA management significantly increased cPOM mass compared to CT (S1), with S2 showing 3.19 and 2.41 times higher cPOM mass in 2016 and 2018, respectively. TOC and TN stocks in cPOM also significantly differed, with notable increases in S2 in 2018. At 5&#x2013;15&#x2009;cm depth, no significant TOC stock differences were found. At 0&#x2013;15&#x2009;cm, cPOM mass showed significant variations, with S2 and S4 being the highest compared to S1. In both years, TOC stock in cPOM was highest in S2, significantly outperforming S1 (<xref rid="SM1" ref-type="supplementary-material">Supplementary Table S4</xref>). fPOM and OMF varied less significantly, except for a notable increase in OMF TOC stock in S2 in 2018.</p>
<table-wrap position="float" id="tab9">
<label>Table 9</label>
<caption>
<p>Characterization of different particulate fraction under different tillage and residue management in Samastipur.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th/>
<th align="center" valign="bottom" colspan="3">2016</th>
<th align="center" valign="bottom" colspan="3">2018</th>
</tr>
<tr>
<th/>
<th align="center" valign="top">cPOM</th>
<th align="center" valign="top">fPOM</th>
<th align="center" valign="top">OMF</th>
<th align="center" valign="top">cPOM</th>
<th align="center" valign="top">fPOM</th>
<th align="center" valign="top">OMF</th>
</tr>
</thead>
<tbody>
<tr>
<td/>
<td align="center" valign="bottom" colspan="6">0&#x2013;5&#x2009;cm</td>
</tr>
<tr>
<td align="left" valign="top" colspan="7">Proportional mass in fraction (%)</td>
</tr>
<tr>
<td align="left" valign="top">S<sub>1</sub></td>
<td align="center" valign="bottom">1.89<sup>b</sup></td>
<td align="center" valign="bottom">23.6<sup>a</sup></td>
<td align="center" valign="bottom">74.5<sup>b</sup></td>
<td align="center" valign="bottom">5.70<sup>ab</sup></td>
<td align="center" valign="bottom">24.0<sup>a</sup></td>
<td align="center" valign="bottom">70.3<sup>ab</sup></td>
</tr>
<tr>
<td align="left" valign="top">S<sub>2</sub></td>
<td align="center" valign="bottom">6.02<sup>a</sup></td>
<td align="center" valign="bottom">12.2<sup>b</sup></td>
<td align="center" valign="bottom">81.8<sup>a</sup></td>
<td align="center" valign="bottom">10.0<sup>a</sup></td>
<td align="center" valign="bottom">31.3<sup>a</sup></td>
<td align="center" valign="bottom">58.7<sup>b</sup></td>
</tr>
<tr>
<td align="left" valign="top">S<sub>3</sub></td>
<td align="center" valign="bottom">3.72<sup>ab</sup></td>
<td align="center" valign="bottom">27.1<sup>a</sup></td>
<td align="center" valign="bottom">69.2<sup>c</sup></td>
<td align="center" valign="bottom">4.15<sup>b</sup></td>
<td align="center" valign="bottom">25.7<sup>a</sup></td>
<td align="center" valign="bottom">72.2<sup>a</sup></td>
</tr>
<tr>
<td align="left" valign="top">S<sub>4</sub></td>
<td align="center" valign="bottom">5.24<sup>a</sup></td>
<td align="center" valign="bottom">12.9<sup>b</sup></td>
<td align="center" valign="bottom">81.9<sup>a</sup></td>
<td align="center" valign="bottom">7.96<sup>a</sup></td>
<td align="center" valign="bottom">18.8<sup>a</sup></td>
<td align="center" valign="bottom">73.2<sup>a</sup></td>
</tr>
<tr>
<td align="left" valign="top" colspan="7">TOC stock in fraction (Mg C ha<sup>&#x2212;1</sup>)</td>
</tr>
<tr>
<td align="left" valign="top">S<sub>1</sub></td>
<td align="center" valign="bottom">0.71<sup>b</sup></td>
<td align="center" valign="bottom">1.22<sup>a</sup></td>
<td align="center" valign="bottom">2.56<sup>a</sup></td>
<td align="center" valign="bottom">1.56<sup>b</sup></td>
<td align="center" valign="bottom">1.18<sup>b</sup></td>
<td align="center" valign="bottom">1.93<sup>b</sup></td>
</tr>
<tr>
<td align="left" valign="top">S<sub>2</sub></td>
<td align="center" valign="bottom">3.23<sup>a</sup></td>
<td align="center" valign="bottom">1.74<sup>a</sup></td>
<td align="center" valign="bottom">3.14<sup>a</sup></td>
<td align="center" valign="bottom">5.62<sup>a</sup></td>
<td align="center" valign="bottom">2.12<sup>a</sup></td>
<td align="center" valign="bottom">3.58<sup>a</sup></td>
</tr>
<tr>
<td align="left" valign="top">S<sub>3</sub></td>
<td align="center" valign="bottom">1.45<sup>b</sup></td>
<td align="center" valign="bottom">1.69<sup>a</sup></td>
<td align="center" valign="bottom">2.22<sup>a</sup></td>
<td align="center" valign="bottom">1.02<sup>b</sup></td>
<td align="center" valign="bottom">1.91<sup>ab</sup></td>
<td align="center" valign="bottom">2.27<sup>b</sup></td>
</tr>
<tr>
<td align="left" valign="top">S<sub>4</sub></td>
<td align="center" valign="bottom">1.70<sup>b</sup></td>
<td align="center" valign="bottom">1.35<sup>a</sup></td>
<td align="center" valign="bottom">2.45<sup>a</sup></td>
<td align="center" valign="bottom">2.82<sup>b</sup></td>
<td align="center" valign="bottom">1.21<sup>ab</sup></td>
<td align="center" valign="bottom">1.89<sup>b</sup></td>
</tr>
<tr>
<td align="left" valign="top" colspan="7">TN stock in fraction (Mg&#x2009;N&#x2009;ha<sup>&#x2212;1</sup>)</td>
</tr>
<tr>
<td align="left" valign="top">S<sub>1</sub></td>
<td align="center" valign="bottom">0.05<sup>b</sup></td>
<td align="center" valign="bottom">0.15<sup>a</sup></td>
<td align="center" valign="bottom">0.55<sup>a</sup></td>
<td align="center" valign="bottom">0.03<sup>b</sup></td>
<td align="center" valign="bottom">0.30<sup>a</sup></td>
<td align="center" valign="bottom">0.39<sup>a</sup></td>
</tr>
<tr>
<td align="left" valign="top">S<sub>2</sub></td>
<td align="center" valign="bottom">0.16<sup>a</sup></td>
<td align="center" valign="bottom">0.13<sup>a</sup></td>
<td align="center" valign="bottom">0.91<sup>a</sup></td>
<td align="center" valign="bottom">0.26<sup>a</sup></td>
<td align="center" valign="bottom">0.38<sup>a</sup></td>
<td align="center" valign="bottom">0.76<sup>a</sup></td>
</tr>
<tr>
<td align="left" valign="top">S<sub>3</sub></td>
<td align="center" valign="bottom">0.04<sup>b</sup></td>
<td align="center" valign="bottom">0.19<sup>a</sup></td>
<td align="center" valign="bottom">0.31<sup>a</sup></td>
<td align="center" valign="bottom">0.02<sup>b</sup></td>
<td align="center" valign="bottom">0.21<sup>a</sup></td>
<td align="center" valign="bottom">0.66<sup>a</sup></td>
</tr>
<tr>
<td align="left" valign="top">S<sub>4</sub></td>
<td align="center" valign="bottom">0.05<sup>b</sup></td>
<td align="center" valign="bottom">0.15<sup>a</sup></td>
<td align="center" valign="bottom">0.91<sup>a</sup></td>
<td align="center" valign="bottom">0.12<sup>ab</sup></td>
<td align="center" valign="bottom">0.20<sup>a</sup></td>
<td align="center" valign="bottom">0.55<sup>a</sup></td>
</tr>
<tr>
<td/>
<td align="center" valign="bottom" colspan="6">5&#x2013;15&#x2009;cm</td>
</tr>
<tr>
<td align="left" valign="top" colspan="7">Proportional mass in fraction (%)</td>
</tr>
<tr>
<td align="left" valign="top">S<sub>1</sub></td>
<td align="center" valign="bottom">2.05<sup>a</sup></td>
<td align="center" valign="bottom">23.6<sup>a</sup></td>
<td align="center" valign="bottom">74.4<sup>b</sup></td>
<td align="center" valign="bottom">2.63<sup>a</sup></td>
<td align="center" valign="bottom">21.8<sup>a</sup></td>
<td align="center" valign="bottom">75.6<sup>a</sup></td>
</tr>
<tr>
<td align="left" valign="top">S<sub>2</sub></td>
<td align="center" valign="bottom">2.71<sup>a</sup></td>
<td align="center" valign="bottom">10.2<sup>b</sup></td>
<td align="center" valign="bottom">87.5<sup>a</sup></td>
<td align="center" valign="bottom">3.16<sup>a</sup></td>
<td align="center" valign="bottom">21.3<sup>a</sup></td>
<td align="center" valign="bottom">75.6<sup>a</sup></td>
</tr>
<tr>
<td align="left" valign="top">S<sub>3</sub></td>
<td align="center" valign="bottom">2.20<sup>a</sup></td>
<td align="center" valign="bottom">23.8<sup>a</sup></td>
<td align="center" valign="bottom">74.0<sup>b</sup></td>
<td align="center" valign="bottom">1.53<sup>a</sup></td>
<td align="center" valign="bottom">25.2<sup>a</sup></td>
<td align="center" valign="bottom">73.2<sup>a</sup></td>
</tr>
<tr>
<td align="left" valign="top">S<sub>4</sub></td>
<td align="center" valign="bottom">3.09<sup>a</sup></td>
<td align="center" valign="bottom">12.7<sup>b</sup></td>
<td align="center" valign="bottom">84.2<sup>a</sup></td>
<td align="center" valign="bottom">3.08<sup>a</sup></td>
<td align="center" valign="bottom">18.4<sup>a</sup></td>
<td align="center" valign="bottom">78.5<sup>a</sup></td>
</tr>
<tr>
<td align="left" valign="top" colspan="7">TOC stock in fraction (Mg C ha<sup>&#x2212;1</sup>)</td>
</tr>
<tr>
<td align="left" valign="top">S<sub>1</sub></td>
<td align="center" valign="bottom">0.85<sup>a</sup></td>
<td align="center" valign="bottom">1.83<sup>a</sup></td>
<td align="center" valign="bottom">3.13<sup>a</sup></td>
<td align="center" valign="bottom">1.88<sup>a</sup></td>
<td align="center" valign="bottom">1.60<sup>a</sup></td>
<td align="center" valign="bottom">2.21<sup>a</sup></td>
</tr>
<tr>
<td align="left" valign="top">S<sub>2</sub></td>
<td align="center" valign="bottom">1.34<sup>a</sup></td>
<td align="center" valign="bottom">1.16<sup>a</sup></td>
<td align="center" valign="bottom">5.07<sup>a</sup></td>
<td align="center" valign="bottom">1.80<sup>a</sup></td>
<td align="center" valign="bottom">2.89<sup>a</sup></td>
<td align="center" valign="bottom">6.69<sup>a</sup></td>
</tr>
<tr>
<td align="left" valign="top">S<sub>3</sub></td>
<td align="center" valign="bottom">0.98<sup>a</sup></td>
<td align="center" valign="bottom">1.70<sup>a</sup></td>
<td align="center" valign="bottom">4.33<sup>a</sup></td>
<td align="center" valign="bottom">1.12<sup>a</sup></td>
<td align="center" valign="bottom">1.89<sup>a</sup></td>
<td align="center" valign="bottom">4.55<sup>a</sup></td>
</tr>
<tr>
<td align="left" valign="top">S<sub>4</sub></td>
<td align="center" valign="bottom">1.53<sup>a</sup></td>
<td align="center" valign="bottom">1.94<sup>a</sup></td>
<td align="center" valign="bottom">4.59<sup>a</sup></td>
<td align="center" valign="bottom">1.68<sup>a</sup></td>
<td align="center" valign="bottom">2.00<sup>a</sup></td>
<td align="center" valign="bottom">4.20<sup>a</sup></td>
</tr>
<tr>
<td align="left" valign="top" colspan="7">TN stock in fraction (Mg&#x2009;N&#x2009;ha<sup>&#x2212;1</sup>)</td>
</tr>
<tr>
<td align="left" valign="top">S<sub>1</sub></td>
<td align="center" valign="bottom">0.04<sup>a</sup></td>
<td align="center" valign="bottom">0.31<sup>ab</sup></td>
<td align="center" valign="bottom">1.50<sup>ab</sup></td>
<td align="center" valign="bottom">0.03<sup>b</sup></td>
<td align="center" valign="bottom">0.82<sup>a</sup></td>
<td align="center" valign="bottom">0.93<sup>b</sup></td>
</tr>
<tr>
<td align="left" valign="top">S<sub>2</sub></td>
<td align="center" valign="bottom">0.05<sup>a</sup></td>
<td align="center" valign="bottom">0.22<sup>b</sup></td>
<td align="center" valign="bottom">1.85<sup>a</sup></td>
<td align="center" valign="bottom">0.19<sup>a</sup></td>
<td align="center" valign="bottom">0.40<sup>a</sup></td>
<td align="center" valign="bottom">1.80<sup>ab</sup></td>
</tr>
<tr>
<td align="left" valign="top">S<sub>3</sub></td>
<td align="center" valign="bottom">0.03<sup>a</sup></td>
<td align="center" valign="bottom">0.92<sup>a</sup></td>
<td align="center" valign="bottom">0.55<sup>b</sup></td>
<td align="center" valign="bottom">0.05<sup>b</sup></td>
<td align="center" valign="bottom">0.59<sup>a</sup></td>
<td align="center" valign="bottom">3.23<sup>a</sup></td>
</tr>
<tr>
<td align="left" valign="top">S<sub>4</sub></td>
<td align="center" valign="bottom">0.03<sup>a</sup></td>
<td align="center" valign="bottom">0.62<sup>ab</sup></td>
<td align="center" valign="bottom">1.45<sup>ab</sup></td>
<td align="center" valign="bottom">0.06<sup>b</sup></td>
<td align="center" valign="bottom">0.21<sup>a</sup></td>
<td align="center" valign="bottom">1.02<sup>ab</sup></td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p>Means followed by same letter among the columns for each POM fractions are not statistically different by the Tukey&#x2019;s test at <italic>p</italic>&#x2009;&#x003C;&#x2009;0.05 (comparisons made among the treatments). S1-Conventional till, S2-Zero till direct seeded rice-wheat-mungbean with residue retained from all crops rice-wheat, S3-Permanent raised bed maize-wheat-mungbean with residue retained from all crops, S<sub>4</sub>-Permanent raised bed maize-mustard-mungbean with residue retained from all crops.</p>
</table-wrap-foot>
</table-wrap>
</sec>
</sec>
<sec id="sec20">
<label>3.5</label>
<title>The relationship among the factors controlling carbon stock build-up</title>
<p>A Pearson&#x2019;s correlation matrix indicated varying correlations between TOC stock, POXC stock, carbon input, and POM fractions across depths and times (<xref ref-type="table" rid="tab10">Table 10</xref>). <xref ref-type="table" rid="tab10">Table 10</xref> shows the comparison of data at the same location. Initially, no significant correlation was found between carbon stock and cPOM fraction after 3&#x2009;years. However, after 5&#x2009;years, a notable correlation emerged (r&#x2009;=&#x2009;0.63 and r&#x2009;=&#x2009;0.76) at 0&#x2013;5&#x2009;cm depth in both sites. In Karnal, a significant correlation was found between soil carbon stock and total carbon input after both 3 and 5&#x2009;years (r&#x2009;=&#x2009;0.48 and r&#x2009;=&#x2009;0.55) at 0&#x2013;5&#x2009;cm depth, while in Samastipur, this was observed only after 3&#x2009;years (r&#x2009;=&#x2009;0.78). No correlations except for carbon input were noted at 5&#x2013;15&#x2009;cm depth. At 0&#x2013;15&#x2009;cm depth, significant correlations between carbon stock and cPOM emerged after 5&#x2009;years in Karnal (r&#x2009;=&#x2009;0.57), with soil carbon stock significantly associated with total carbon input in both sites over time, except after 3&#x2009;years in Samastipur.</p>
<table-wrap position="float" id="tab10">
<label>Table 10</label>
<caption>
<p>Pearson&#x2019;s correlation coefficients of organic carbon stock with soil fractions and carbon input.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top" rowspan="2">Parameters</th>
<th align="center" valign="top" colspan="2">Karnal</th>
<th align="center" valign="top" colspan="2">Samastipur</th>
</tr>
<tr>
<th align="center" valign="top" colspan="4">Carbon stock</th>
</tr>
<tr>
<th/>
<th align="center" valign="top">2015</th>
<th align="center" valign="top">2017</th>
<th align="center" valign="top">2016</th>
<th align="center" valign="top">2018</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top" colspan="5">0&#x2013;5&#x2009;cm</td>
</tr>
<tr>
<td align="left" valign="top">cPOM2015</td>
<td align="center" valign="top">0.40</td>
<td align="center" valign="top">0.57<xref ref-type="table-fn" rid="tfn8"><sup>&#x002A;</sup></xref></td>
<td align="center" valign="top">0.55</td>
<td align="center" valign="top">0.82<xref ref-type="table-fn" rid="tfn9"><sup>&#x002A;&#x002A;</sup></xref></td>
</tr>
<tr>
<td align="left" valign="top">cPOM2017</td>
<td/>
<td align="center" valign="top">0.63<xref ref-type="table-fn" rid="tfn9"><sup>&#x002A;&#x002A;</sup></xref></td>
<td/>
<td align="center" valign="top">0.76<xref ref-type="table-fn" rid="tfn9"><sup>&#x002A;&#x002A;</sup></xref></td>
</tr>
<tr>
<td align="left" valign="top">fPOM2015</td>
<td align="center" valign="top">0.37</td>
<td align="center" valign="top">0.03</td>
<td align="center" valign="top">0.65&#x002A;</td>
<td align="center" valign="top">0.42</td>
</tr>
<tr>
<td align="left" valign="top">fPOM2017</td>
<td/>
<td align="center" valign="top">0.32</td>
<td/>
<td align="center" valign="top">0.66<xref ref-type="table-fn" rid="tfn8"><sup>&#x002A;</sup></xref></td>
</tr>
<tr>
<td align="left" valign="top">OMF2015</td>
<td align="center" valign="top">0.21</td>
<td align="center" valign="top">0.29</td>
<td align="center" valign="top">0.03</td>
<td align="center" valign="top">0.41</td>
</tr>
<tr>
<td align="left" valign="top">OMF2017</td>
<td/>
<td align="center" valign="top">0.33</td>
<td/>
<td align="center" valign="top">0.92<xref ref-type="table-fn" rid="tfn9"><sup>&#x002A;&#x002A;</sup></xref></td>
</tr>
<tr>
<td align="left" valign="top">CR C input</td>
<td align="center" valign="top">0.52<xref ref-type="table-fn" rid="tfn8"><sup>&#x002A;</sup></xref></td>
<td align="center" valign="top">0.46</td>
<td align="center" valign="top">0.77<xref ref-type="table-fn" rid="tfn9"><sup>&#x002A;&#x002A;</sup></xref></td>
<td align="center" valign="top">0.47</td>
</tr>
<tr>
<td align="left" valign="top">TC input</td>
<td align="center" valign="top">0.48<xref ref-type="table-fn" rid="tfn8"><sup>&#x002A;</sup></xref></td>
<td align="center" valign="top">0.55<xref ref-type="table-fn" rid="tfn8"><sup>&#x002A;</sup></xref></td>
<td align="center" valign="top">0.78<xref ref-type="table-fn" rid="tfn9"><sup>&#x002A;&#x002A;</sup></xref></td>
<td align="center" valign="top">0.44</td>
</tr>
<tr>
<td align="left" valign="top" colspan="5">5&#x2013;15&#x2009;cm</td>
</tr>
<tr>
<td align="left" valign="top">cPOM2015</td>
<td align="center" valign="top">0.16</td>
<td align="center" valign="top">0.37</td>
<td align="center" valign="top">0.39</td>
<td align="center" valign="top">0.09</td>
</tr>
<tr>
<td align="left" valign="top">cPOM2017</td>
<td/>
<td align="center" valign="top">0.21</td>
<td/>
<td align="center" valign="top">0.41</td>
</tr>
<tr>
<td align="left" valign="top">fPOM2015</td>
<td align="center" valign="top">0.04</td>
<td align="center" valign="top">0.15</td>
<td align="center" valign="top">0.40</td>
<td align="center" valign="top">0.00</td>
</tr>
<tr>
<td align="left" valign="top">fPOM2017</td>
<td/>
<td align="center" valign="top">0.31</td>
<td/>
<td align="center" valign="top">&#x2212;0.06</td>
</tr>
<tr>
<td align="left" valign="top">OMF2015</td>
<td align="center" valign="top">0.28</td>
<td align="center" valign="top">&#x2212;0.21</td>
<td align="center" valign="top">0.25</td>
<td align="center" valign="top">0.20</td>
</tr>
<tr>
<td align="left" valign="top">OMF2017</td>
<td/>
<td align="center" valign="top">0.31</td>
<td/>
<td align="center" valign="top">0.18</td>
</tr>
<tr>
<td align="left" valign="top">CR C input</td>
<td align="center" valign="top">0.35</td>
<td align="center" valign="top">0.49<xref ref-type="table-fn" rid="tfn8"><sup>&#x002A;</sup></xref></td>
<td align="center" valign="top">0.22</td>
<td align="center" valign="top">0.68<xref ref-type="table-fn" rid="tfn8"><sup>&#x002A;</sup></xref></td>
</tr>
<tr>
<td align="left" valign="top">TC input</td>
<td align="center" valign="top">0.44</td>
<td align="center" valign="top">0.57<xref ref-type="table-fn" rid="tfn8"><sup>&#x002A;</sup></xref></td>
<td align="center" valign="top">0.20</td>
<td align="center" valign="top">0.70<xref ref-type="table-fn" rid="tfn8"><sup>&#x002A;</sup></xref></td>
</tr>
<tr>
<td align="left" valign="top" colspan="5">0&#x2013;15&#x2009;cm</td>
</tr>
<tr>
<td align="left" valign="top">cPOM2015</td>
<td align="center" valign="top">0.34</td>
<td align="center" valign="top">0.63<xref ref-type="table-fn" rid="tfn9"><sup>&#x002A;&#x002A;</sup></xref></td>
<td align="center" valign="top">0.30</td>
<td align="center" valign="top">0.36</td>
</tr>
<tr>
<td align="left" valign="top">cPOM2017</td>
<td/>
<td align="center" valign="top">0.57<xref ref-type="table-fn" rid="tfn8"><sup>&#x002A;</sup></xref></td>
<td/>
<td align="center" valign="top">0.47</td>
</tr>
<tr>
<td align="left" valign="top">fPOM2015</td>
<td align="center" valign="top">0.40</td>
<td align="center" valign="top">0.18</td>
<td align="center" valign="top">0.12</td>
<td align="center" valign="top">0.05</td>
</tr>
<tr>
<td align="left" valign="top">fPOM2017</td>
<td/>
<td align="center" valign="top">0.42</td>
<td/>
<td align="center" valign="top">0.36</td>
</tr>
<tr>
<td align="left" valign="top">OMF2015</td>
<td align="center" valign="top">0.15</td>
<td align="center" valign="top">0.01</td>
<td align="center" valign="top">0.32</td>
<td align="center" valign="top">0.31</td>
</tr>
<tr>
<td align="left" valign="top">OMF2017</td>
<td/>
<td align="center" valign="top">0.40</td>
<td/>
<td align="center" valign="top">0.47</td>
</tr>
<tr>
<td align="left" valign="top">CR C input</td>
<td align="center" valign="top">0.48<xref ref-type="table-fn" rid="tfn8"><sup>&#x002A;</sup></xref></td>
<td align="center" valign="top">0.54<xref ref-type="table-fn" rid="tfn8"><sup>&#x002A;</sup></xref></td>
<td align="center" valign="top">0.57</td>
<td align="center" valign="top">0.82<xref ref-type="table-fn" rid="tfn9"><sup>&#x002A;&#x002A;</sup></xref></td>
</tr>
<tr>
<td align="left" valign="top">TC input</td>
<td align="center" valign="top">0.52<xref ref-type="table-fn" rid="tfn8"><sup>&#x002A;</sup></xref></td>
<td align="center" valign="top">0.63<xref ref-type="table-fn" rid="tfn9"><sup>&#x002A;&#x002A;</sup></xref></td>
<td align="center" valign="top">0.55</td>
<td align="center" valign="top">0.83<xref ref-type="table-fn" rid="tfn9"><sup>&#x002A;&#x002A;</sup></xref></td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p>Where POXC: permanganate oxidisable carbon; cPOM: coarse particulate organic matter; fPOM: fine particulate organic matter; OMF: organo-mineral fraction; CR C input: crop residue carbon input; TC input: total carbon (crop residue + stubble) input; VMC: volumetric moisture content; ST: soil temperature.</p>
<fn id="tfn8">
<label>&#x002A;</label>
<p>Correlation is significant at the 0.05 level (2-tailed).</p>
</fn>
<fn id="tfn9">
<label>&#x002A;&#x002A;</label>
<p>Correlation is significant at the 0.01 level (2-tailed).</p>
</fn>
</table-wrap-foot>
</table-wrap>
</sec>
</sec>
<sec sec-type="discussion" id="sec21">
<label>4</label>
<title>Discussion</title>
<sec id="sec22">
<label>4.1</label>
<title>Crop grain yield and system yield</title>
<p>Our study highlights the significant influence of tillage and crop establishment methods, residue recycling/incorporation, and legume integration on crop grain yield and system yield (SY), as seen in the substantial SY increase in Karnal for the maize-wheat-mungbean rotation under permanent beds (PB). This finding aligns with the combined effects of yield increments across these crops, improved soil moisture and temperature regimes, enhanced aeration and light availability, and better soil physicochemical properties (<xref ref-type="bibr" rid="ref9">Choudhary et al., 2018</xref>; <xref ref-type="bibr" rid="ref33">Kumar et al., 2018</xref>; <xref ref-type="bibr" rid="ref10">Choudhury et al., 2014</xref>; <xref ref-type="bibr" rid="ref43">Parihar et al., 2016</xref>; <xref ref-type="bibr" rid="ref27">Jat et al., 2014</xref>; <xref ref-type="bibr" rid="ref41">Nandan et al., 2019</xref>; <xref ref-type="bibr" rid="ref42">Parihar et al., 2018</xref>; <xref ref-type="bibr" rid="ref48">Samal et al., 2017</xref>). Additionally, the increased nutrient availability and effective recycling of crop residues contribute to an enhanced total organic carbon (TOC) stock, which facilitates better soil aggregation (<xref ref-type="bibr" rid="ref4">Blanco-Canqui and Lal, 2007</xref>; <xref ref-type="bibr" rid="ref26">Jat H. S. et al., 2018</xref>; <xref ref-type="bibr" rid="ref7">Chaudhary et al., 2022</xref>; <xref ref-type="bibr" rid="ref38">Mishra et al., 2018</xref>; <xref ref-type="bibr" rid="ref35">Kumar et al., 2019</xref>; <xref ref-type="bibr" rid="ref48">Samal et al., 2017</xref>). In Samastipur, the treatments S2 (ZT-DSR and ZT-wheat with mungbean) and S4 (PB-maize and PB-mustard with mungbean (MM)) exhibited comparable SY, significantly higher than S3 (PB-maize and PB-wheat with mungbean) and S1 (CT-rice and CT-wheat), highlighting the benefits of conservation agriculture (CA) practices. The higher SY achieved through ZT and PB with the integration of mungbean in RW and MM systems is consistent with previous findings in the IGP region, reinforcing the value of CA systems in sustainable agriculture (<xref ref-type="bibr" rid="ref28">Jat et al., 2019</xref>; <xref ref-type="bibr" rid="ref33">Kumar et al., 2018</xref>). The lower SY observed in the poorest-performing treatments (K1 in Karnal and S1 in Samastipur) can be attributed to suboptimal soil and crop management practices, particularly the rapid decomposition of organic matter (<xref ref-type="bibr" rid="ref44">Powlson et al., 2014</xref>; <xref ref-type="bibr" rid="ref50">Singh et al., 2015</xref>; <xref ref-type="bibr" rid="ref53">Stewart et al., 2007</xref>).</p>
</sec>
<sec id="sec23">
<label>4.2</label>
<title>Soil organic carbon pools and stock</title>
<p>Exploring carbon stocking and lability in short-term trials of CA-based management practices over 3 and 5&#x2009;years is crucial for identifying optimal practices for specific tropical soil sites. In the loamy soils of Karnal and the silty loams of Samastipur, the lability of TOC plays a vital role in carbon sequestration and stabilization. Our analysis of TOC and POXC stocks, particularly under permanent raised bed systems with maize-wheat-mungbean rotations and full residue retention at 0&#x2013;15&#x2009;cm soil depth, reveals the beneficial impacts of reduced tillage and enhanced crop residue turnover on carbon stocks (<xref ref-type="table" rid="tab6">Tables 6</xref>&#x2013;<xref ref-type="table" rid="tab9">9</xref>). CT systems, conversely, may expedite organic matter decomposition through aggregate disruption and increased microbial exposure (<xref ref-type="bibr" rid="ref29">Jat M. L. et al., 2018</xref>). Notably, after 5&#x2009;years, K6 in Karnal exhibited the highest carbon stock increase at 72.3% over K1 at 0&#x2013;5&#x2009;cm depth, underscoring the efficiency of CA practices in enhancing soil carbon levels (<xref ref-type="table" rid="tab9">Table 9</xref>). Similarly, in Samastipur, S2 and S3 treatments demonstrated significant carbon stock increases after 3&#x2009;years, with S2 showing the most substantial rise after 5&#x2009;years (<xref ref-type="table" rid="tab5">Table 5</xref>). This suggests that ZT and PB practices, especially when including crop rotations with legumes like mungbean, significantly contribute to soil organic carbon accumulation, corroborating findings by <xref ref-type="bibr" rid="ref21">Govaerts et al. (2007)</xref>, <xref ref-type="bibr" rid="ref37">Meurer et al. (2018)</xref>, and <xref ref-type="bibr" rid="ref42">Parihar et al. (2018)</xref>. Our results align with the broader literature, indicating that CA practices, particularly those involving diverse crop rotations and residue management, are crucial for enhancing soil carbon sequestration in tropical soils (<xref ref-type="bibr" rid="ref2">Awale et al., 2017</xref>; <xref ref-type="bibr" rid="ref5">Bongiorno et al., 2019</xref>; <xref ref-type="bibr" rid="ref40">Moharana et al., 2012</xref>).</p>
<p>Additionally, the observed increase in total organic carbon (TOC) across all soil layers under conventional management (K1 and S1) over 2&#x2009;years may be explained by several mechanisms (<xref ref-type="bibr" rid="ref2">Awale et al., 2017</xref>). Although conventional tillage (CT) typically accelerates organic matter decomposition by disrupting soil aggregates and enhancing microbial activity, it can also lead to short-term increases in TOC, particularly when crop residues are incorporated into the soil or when fertilization promotes greater biomass production (<xref ref-type="bibr" rid="ref46">Rahman et al., 2021</xref>). In the short-term timeframe of this study, organic inputs from crop residues under CT may temporarily increase TOC before decomposition rates surpass carbon accumulation. Additionally, the lability of TOC, influenced by site-specific soil properties such as the loamy soils of Karnal and silty loams of Samastipur, may contribute to transient carbon sequestration even in conventional systems (<xref ref-type="bibr" rid="ref16">Dey et al., 2020</xref>). This underscores the need for long-term evaluations to fully assess the impacts of tillage practices on carbon stabilization in tropical soils.</p>
</sec>
<sec id="sec24">
<label>4.3</label>
<title>POM fractionation and C stabilization</title>
<p>The study&#x2019;s examination of particulate organic matter (POM) fractionation and carbon stabilization across different conservation agriculture (CA) management practices provides compelling evidence of the pivotal role of short-term agronomic strategies in enhancing soil carbon stocks. Specifically, the significant increase in coarse particulate organic matter (cPOM) at the 0&#x2013;5&#x2009;cm soil depth within treatments K4 and K6 in Karnal, as observed in both 2015 and 2017, underscores the synergistic effects of reduced tillage and diverse crop residue management on soil structure and carbon dynamics (<xref ref-type="table" rid="tab6">Table 6</xref>). This finding is particularly noteworthy as it highlights how strategic residue management and tillage reduction can lead to enhanced carbon sequestration by promoting the formation of macroaggregates, which serve as protective niches for organic carbon, thereby reducing its susceptibility to microbial decomposition.</p>
<p>In Samastipur, the superior performance of S2 and S4 treatments regarding cPOM accumulation further corroborates the efficacy of integrating legumes such as mungbean into cropping systems. This integration not only diversifies the cropping system but also contributes to a more complex soil organic matter composition through the addition of legume-derived residues, which are known for their rapid decomposition and nutrient release, enhancing soil fertility and structure (<xref ref-type="bibr" rid="ref002">Benbi and Senapati, 2010</xref>; <xref ref-type="bibr" rid="ref42">Parihar et al., 2018</xref>). Such practices, indicative of CAB34&#x2019;s principles, foster a conducive environment for sustainable soil health management by improving the soil&#x2019;s physical, chemical, and biological properties.</p>
<p>Moreover, the observed correlations between carbon stock and cPOM over time (<xref ref-type="table" rid="tab10">Table 10</xref>) suggest a dynamic and responsive soil system under CA management, with implications for long-term soil health and productivity. The data indicate that as CA practices mature, their impact on soil carbon stocks becomes increasingly pronounced, highlighting the importance of time in assessing the outcomes of agricultural management practices on soil carbon dynamics.</p>
<p>This study&#x2019;s findings align with and extend the work of <xref ref-type="bibr" rid="ref21">Govaerts et al. (2007)</xref>, <xref ref-type="bibr" rid="ref37">Meurer et al. (2018)</xref>, and others, situating them within the broader discourse on soil carbon sequestration and the sustainability of agricultural systems (<xref ref-type="bibr" rid="ref46">Rahman et al., 2021</xref>). By demonstrating the potential of CA practices to influence soil carbon stocks in the short term significantly, this research contributes valuable insights into the mechanisms through which agricultural management practices can be optimized to enhance carbon sequestration, soil health, and, ultimately, the sustainability of farming systems. This underscores the critical need for continued research in this area, particularly long-term studies that can further elucidate soil carbon dynamics under different agricultural management practices and their implications for addressing global challenges such as climate change and food security.</p>
</sec>
<sec id="sec25">
<label>4.4</label>
<title>The relationship between different SOC pools and carbon inputs</title>
<p>Pearson&#x2019;s correlation matrix revealed that soil carbon stock was significantly and positively correlated with cPOM and carbon input from crop residues in both sites, mainly after 5&#x2009;years of experimentation. The correlation is robust at 0&#x2013;5&#x2009;cm and weaker at 0&#x2013;15&#x2009;cm soil depth. Such a reduction in correlation might be due to no significant correlation in 5&#x2013;15&#x2009;cm soil depth. The results indicate that soil carbon stock build-up is strongly influenced by the continuous flow of crop residues into the system (<xref ref-type="bibr" rid="ref11">Choudhury et al., 2018</xref>), especially the cPOM fraction. <xref ref-type="bibr" rid="ref001">Barreto et al. (2010)</xref> have observed that the more significant variation in the labile fraction (cPOM) would be a consistent indicator that would monitor the variation in soil quality under different management practices. However, the period of experimentation is crucial for identifying such changes in CA-based management practices. The results of the present study support earlier findings (<xref ref-type="bibr" rid="ref40">Moharana et al., 2012</xref>; <xref ref-type="bibr" rid="ref52">Somasundaram et al., 2018</xref>; <xref ref-type="bibr" rid="ref9">Choudhary et al., 2018</xref>). Thus, it can be stated by the final analysis that cPOM helps in understanding soil carbon dynamics under different climate regimes.</p>
<p>Additionally, study was done at two site in two different states sharing different agro-climatic zones and ecology, so these practices and findings are applicable to similar regions with similar climatic conditions following rice-wheat cropping systems. Apart from this, study is short term but longer term studies will also be rewarding based on the findings of the study and significance of the practices.</p>
</sec>
</sec>
<sec sec-type="conclusions" id="sec26">
<label>5</label>
<title>Conclusion</title>
<p>This study demonstrates that conservation agriculture (CA) practices, including no-till, residue management, and crop diversification, significantly promote carbon sequestration. However, the outcomes are intricately influenced by the study&#x2019;s duration, site-specific conditions, and the soil fractions examined. Notably, integrating diversified residue management and including mungbean in crop rotations have emerged as pivotal factors in modulating carbon and nitrogen dynamics within CA-based systems. In Karnal, soil carbon accumulation was primarily supported by a synergistic effect of tillage practices, residue management, and crop diversity. Conversely, in Samastipur, the emphasis on residue recycling influenced the slightly lower observed soil carbon enhancements. Moreover, the variations observed in the total organic carbon (TOC) and total nitrogen (TN) within the coarse particulate organic matter (cPOM) fraction underscore its potential as a critical indicator for assessing the efficacy of short-term CA interventions. The impact of these practices on soil carbon and nitrogen stocks is contingent upon multiple factors, including soil depth, the duration of the CA implementation, soil type, crop rotation patterns, and overall management strategies. It was found that a 3-year period was insufficient to elicit detectable changes in soil carbon and nitrogen fractionation in Karnal. In contrast, in Samastipur, the exact duration was adequate for observing significant alterations in the soil&#x2019;s physical fractionation. This highlights the necessity for tailored CA practices that consider local soil characteristics and climatic conditions to optimize carbon sequestration and soil health over time.</p>
</sec>
</body>
<back>
<sec sec-type="data-availability" id="sec27">
<title>Data availability statement</title>
<p>The original contributions presented in the study are included in the article/supplementary material, further inquiries can be directed to the corresponding author.</p>
</sec>
<sec sec-type="author-contributions" id="sec28">
<title>Author contributions</title>
<p>AM: Writing &#x2013; review &#x0026; editing, Writing &#x2013; original draft, Resources, Methodology, Investigation, Formal analysis, Conceptualization. HS: Writing &#x2013; review &#x0026; editing, Writing &#x2013; original draft. HJ: Writing &#x2013; review &#x0026; editing, Writing &#x2013; original draft. MJ: Writing &#x2013; review &#x0026; editing, Writing &#x2013; original draft. RK: Writing &#x2013; review &#x0026; editing, Visualization. SF: Writing &#x2013; review &#x0026; editing.</p>
</sec>
<sec sec-type="funding-information" id="sec29">
<title>Funding</title>
<p>The author(s) declare that no financial support was received for the research, authorship, and/or publication of this article.</p>
</sec>
<ack>
<p>AM appreciate the MEXT Scholarship for providing funds for a Doctoral degree program at Kyoto University, Kyoto, Japan. The authors wish to acknowledge the funding support from Prof. Shinya Funakawa, Dean, Graduate School of Global Environmental Studies, Kyoto University, Kyoto, Japan, and Kyoto University Foundation, Kyoto, Japan. We appreciate the support from all the farmers, key communicators, and local officials who contributed their knowledge to this study and helped build rapport with the community. We are highly thankful to the International Maize and Wheat Improvement Center (CIMMYT)-CGIAR Research Program on Climate Change, Agriculture and Food Security (CCAFS) and Borlaug Institute for South Asia (BISA) for providing an essential platform in various climate-smart villages of Haryana and Bihar, India and scientific contributions for the study. The authors also thank Deepak Bijarniya and Love K. Singh of CIMMYT India for their support while visiting the sites and data collection.</p>
</ack>
<sec sec-type="COI-statement" id="sec30">
<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="sec31">
<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 sec-type="supplementary-material" id="sec32">
<title>Supplementary material</title>
<p>The Supplementary material for this article can be found online at: <ext-link xlink:href="https://www.frontiersin.org/articles/10.3389/fsufs.2024.1476292/full#supplementary-material" ext-link-type="uri">https://www.frontiersin.org/articles/10.3389/fsufs.2024.1476292/full#supplementary-material</ext-link></p>
<supplementary-material xlink:href="Data_Sheet_1.docx" id="SM1" mimetype="application/vnd.openxmlformats-officedocument.wordprocessingml.document" xmlns:xlink="http://www.w3.org/1999/xlink"/>
</sec>
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