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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.2025.1535741</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>Effect of adaptive management practices on carbon footprint of sugarcane in the agroecological landscape of Bihar, India</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Kudi</surname>
<given-names>Babita</given-names>
</name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
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<contrib contrib-type="author" corresp="yes">
<name>
<surname>Meena</surname>
<given-names>Sunita Kumari</given-names>
</name>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
<xref ref-type="corresp" rid="c001"><sup>&#x002A;</sup></xref>
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<contrib contrib-type="author" corresp="yes">
<name>
<surname>Kumar</surname>
<given-names>Ajeet</given-names>
</name>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
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<surname>Meena</surname>
<given-names>Vijay Singh</given-names>
</name>
<xref ref-type="aff" rid="aff3"><sup>3</sup></xref>
<xref ref-type="aff" rid="aff4"><sup>4</sup></xref>
<xref ref-type="corresp" rid="c001"><sup>&#x002A;</sup></xref>
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<contrib contrib-type="author">
<name>
<surname>Laik</surname>
<given-names>Ranjan</given-names>
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<aff id="aff1"><sup>1</sup><institution>Department of Soil Science, Dr. Rajendra Prasad Central Agricultural University</institution>, <addr-line>Samastipur, Bihar</addr-line>, <country>India</country></aff>
<aff id="aff2"><sup>2</sup><institution>Sugarcane Research Institute</institution>, <institution>Dr. Rajendra Prasad Central Agricultural University</institution>, <addr-line>Samastipur, Bihar</addr-line>, <country>India</country></aff>
<aff id="aff3"><sup>3</sup><institution>ICAR-Indian Agricultural Research Institute, Regional Station</institution>, <addr-line>Samastipur, Bihar</addr-line>, <country>India</country></aff>
<aff id="aff4"><sup>4</sup><institution>ICAR-Mahatma Gandhi Integrated Farming Research Institute</institution>, <addr-line>Motihari, Bihar</addr-line>, <country>India</country></aff>
<author-notes>
<fn fn-type="edited-by" id="fn0001">
<p>Edited by: <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/89271/overview">Veerasamy Sejian</ext-link>, Indian Council of Agricultural Research (ICAR), India</p>
</fn>
<fn fn-type="edited-by" id="fn0002">
<p>Reviewed by: <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/148286/overview">Syam Viswanath</ext-link>, Indian Council of Forestry Research and Education (ICFRE), India</p>
<p><ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/3162281/overview">Kamran Haider</ext-link>, Huazhong Agricultural University, China</p>
</fn>
<corresp id="c001">&#x002A;Correspondence: Sunita Kumari Meena, <email>sunita.meena@rpcau.ac.in</email>; Ajeet Kumar, <email>ajeetrau@gmail.com</email>; Vijay Singh Meena, <email>vijayssac.bhu@gmail.com</email></corresp>
</author-notes>
<pub-date pub-type="epub">
<day>31</day>
<month>10</month>
<year>2025</year>
</pub-date>
<pub-date pub-type="collection">
<year>2025</year>
</pub-date>
<volume>9</volume>
<elocation-id>1535741</elocation-id>
<history>
<date date-type="received">
<day>27</day>
<month>11</month>
<year>2024</year>
</date>
<date date-type="accepted">
<day>06</day>
<month>10</month>
<year>2025</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#x00A9; 2025 Kudi, Meena, Kumar, Meena and Laik.</copyright-statement>
<copyright-year>2025</copyright-year>
<copyright-holder>Kudi, Meena, Kumar, Meena and Laik</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 adaptive management in sugarcane cultivation through varied input strategies and legume integration. A total of 380 soil samples were collected across blocks at two depths (0&#x2013;15 and 15&#x2013;30&#x202F;cm). Results showed that at 0&#x2013;15&#x202F;cm, oxidizable soil organic carbon (SOC) ranged from 3.19 to 8.01&#x202F;g&#x202F;kg<sup>&#x2212;1</sup>, and at 15&#x2013;30&#x202F;cm, it ranged from 2.50 to 6.90&#x202F;g&#x202F;kg<sup>&#x2212;1</sup>. The C indices showed a decreasing trend with depth. Total organic carbon (TOC) varied from 5.68 to 11.4&#x202F;g&#x202F;kg<sup>&#x2212;1</sup> at 0&#x2013;15&#x202F;cm and from 3.85 to 11.4&#x202F;g&#x202F;kg<sup>&#x2212;1</sup> at 15&#x2013;30&#x202F;cm. Permanganate-oxidizable carbon (KMnO<sub>4</sub>-C) ranged from 145 to 382&#x202F;mg&#x202F;kg<sup>&#x2212;1</sup> at 0&#x2013;15&#x202F;cm and from 122 to 356&#x202F;mg&#x202F;kg<sup>&#x2212;1</sup> at 15&#x2013;30&#x202F;cm. Carbon stock ranged from 12.6 to 25.9&#x202F;Mg&#x202F;ha<sup>&#x2212;1</sup> at 0&#x2013;15&#x202F;cm, and from 10.2 to 24.5&#x202F;Mg&#x202F;ha<sup>&#x2212;1</sup> at 15&#x2013;30&#x202F;cm. The active carbon pool decreased by 17.59%, the passive pool changed negligibly (0.22%) with depth; lability and recalcitrance indices showed carbon stability differences. Study offers key farm-level insights on carbon footprints and adaptive sugarcane management.</p>
</abstract>
<kwd-group>
<kwd>sugarcane cultivation</kwd>
<kwd>agricultural sustainability</kwd>
<kwd>soil management</kwd>
<kwd>carbon sequestration</kwd>
<kwd>climate change</kwd>
</kwd-group>
<counts>
<fig-count count="4"/>
<table-count count="6"/>
<equation-count count="6"/>
<ref-count count="72"/>
<page-count count="12"/>
<word-count count="7905"/>
</counts>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-at-acceptance</meta-name>
<meta-value>Climate-Smart Food Systems</meta-value>
</custom-meta>
</custom-meta-wrap>
</article-meta>
</front>
<body>
<sec sec-type="intro" id="sec1">
<label>1</label>
<title>Introduction</title>
<p>Agricultural agroecological landscapes cover 37% of the Earth&#x2019;s surface and contribute significantly to greenhouse gas (GHG) emissions (<xref ref-type="bibr" rid="ref27">IPCC, 2006</xref>). Climate change poses a major challenge to sugarcane production, particularly in regions experiencing increased consecutive dry days, higher temperatures, and reduced precipitation (<xref ref-type="bibr" rid="ref28">IPCC, 2021</xref>). Research by the International Sugar Organization (<xref ref-type="bibr" rid="ref30">ISO, 2022</xref>) indicates that rising (+) temperatures and CO<sub>2</sub> levels have varying effects on sugarcane yields. Additionally, agricultural management practices can exacerbate environmental pollution (<xref ref-type="bibr" rid="ref9001">Wakchaure et al., 2025</xref>; <xref ref-type="bibr" rid="ref71">Yannopoulos et al., 2015</xref>). The agricultural sector contributes significantly to global greenhouse gas emissions, accounting for up to 52% of anthropogenic methane (CH&#x2084;) and 84% of nitrous oxide (N&#x2082;O) emissions (<xref ref-type="bibr" rid="ref9001">Wakchaure et al., 2025</xref>; <xref ref-type="bibr" rid="ref6">Bonsucro, 2023</xref>). However, it also serves as a GHG sink through C-sequestration in agricultural landscapes (<xref ref-type="bibr" rid="ref36">Lal, 2004</xref>; <xref ref-type="bibr" rid="ref26">Hillier et al., 2009</xref>; <xref ref-type="bibr" rid="ref65">Tubiello et al., 2014</xref>).</p>
<p>Global sugarcane production rose from 448 Mt. in 1961 to over 2 Bt by 2020, expanding from 8.9 to 27 Mha. The Americas and Asia account for 93% of output, with Brazil leading and India contributing 18.7% as the second-largest producer (<xref ref-type="bibr" rid="ref47">OECD/FAO, 2019</xref>). The increasing demand for bio-ethanol, driven by its high energy balance and reduced GHG emissions, has intensified land use globally (<xref ref-type="bibr" rid="ref9001">Wakchaure et al., 2025</xref>; <xref ref-type="bibr" rid="ref11">Cherubin et al., 2021</xref>). This intensification raises environmental sustainability concerns, such as soil quality degradation and ecosystem service impacts (<xref ref-type="bibr" rid="ref18">do Amaral et al., 2008</xref>; <xref ref-type="bibr" rid="ref12">Cherubin et al., 2016</xref>). India&#x2019;s sugarcane production surpassed 500 million metric tons, with large shares used for sugar and ethanol, making it a top global producer and consumer (<xref ref-type="bibr" rid="ref50">PIB, 2022</xref>).</p>
<p>In India, the expansion of sugarcane cultivation is becoming increasingly important to meet the rising global demand for biofuel production. However, this expansion must be supported by adaptive soil management practices to ensure agroecological stability. Achieving this goal requires regular monitoring of soil ecosystems, which is essential for maintaining a stable and sustainable environment for soil&#x2013;plant interactions. Currently, sugarcane is cultivated on 5 Mha, with an average productivity of 68 tons per hectare and a sugar recovery rate of 10%.</p>
<p>Sugarcane cropping systems in India struggle with low technology adoption, poor ratoon management, policy gaps, and inefficient inputs. Solutions include best agronomic practices, supportive policies, balanced nutrients, better water use, farmer training, and integrated soil health indices for accurate impact assessment.</p>
<p>Sugarcane farming in Bihar, covering approximately 250,000 hectares, faces challenges in maintaining production stability (<xref ref-type="bibr" rid="ref35">Kumar et al., 2023</xref>). Productivity has declined by 5.17%, from 55.17&#x202F;t/ha in 2014&#x2013;15 to approximately 50.0&#x202F;t/ha currently. Factors such as poor germination, inadequate cultivation practices, waterlogging, poor ratoon management, substandard seed quality, insufficient irrigation, and the neglect of plant protection measures collectively contribute to low productivity in sugarcane cultivation. A significant issue is the incorrect and imbalanced use of chemical fertilizers, primarily nitrogenous ones, which adversely affect the ecosystem through nutrient loss via leaching, runoff, and volatilization, reducing nutrient use efficiency. Additionally, the lack of organic manure application depletes soil organic matter and deteriorates soil physical conditions.</p>
<p>The long-term stability of agricultural production systems is closely tied to soil quality and health, necessitating effective assessment and monitoring (<xref ref-type="bibr" rid="ref8">Brejda et al., 2000</xref>; <xref ref-type="bibr" rid="ref33">Karlen et al., 1997</xref>). Adaptive management practices significantly influence landscape sustainability (<xref ref-type="bibr" rid="ref29">Islam and Weil, 2000</xref>; <xref ref-type="bibr" rid="ref55">Rezapour and Samadi, 2012</xref>). Current research aims to develop multi-parametric indicators for soil productivity and environmental health (<xref ref-type="bibr" rid="ref9001">Wakchaure et al., 2025</xref>). Despite advancements, monitoring carbon footprint remains complex due to varied agricultural landscapes (<xref ref-type="bibr" rid="ref24">Hanson et al., 2025</xref>; <xref ref-type="bibr" rid="ref48">Ozlu et al., 2022</xref>; <xref ref-type="bibr" rid="ref15">De la Rosa and Sobral, 2008</xref>). Most research has focused on temperate soils, with limited data on calcareous soils in semi-arid areas (<xref ref-type="bibr" rid="ref7">Bouma, 1989</xref>; <xref ref-type="bibr" rid="ref34">Knoepp and Swank, 1997</xref>).</p>
<p>Integrating soil health indices with carbon footprint analysis is crucial for addressing climate change. Practices that degrade ecosystems often increase GHG emissions, exacerbating climate change (<xref ref-type="bibr" rid="ref36">Lal, 2004</xref>; <xref ref-type="bibr" rid="ref60">Smith et al., 2008</xref>). Conversely, improving soil health through sustainable practices can enhance C-sequestration, mitigate GHG emissions, and promote climate resilience (<xref ref-type="bibr" rid="ref36">Lal, 2004</xref>). Therefore, developing comprehensive soil quality indices in relation to carbon footprints and climate change is vital for sustainable agriculture (<xref ref-type="bibr" rid="ref65">Tubiello et al., 2014</xref>).</p>
<p>Despite growing interest in sustainable sugarcane production, research gaps remain on how organic inputs and diverse cropping affect soil carbon and carbon footprint, especially in calcareous soils of semi-arid to sub-tropical South Asia. Most studies focus on temperate zones, with limited field data from this key region where sugarcane supports food and biofuel security. This study hypothesizes that the integration of organic amendments and legume-based crop diversification in sugarcane systems will enhance soil carbon sequestration, improve soil carbon pool dynamics, and stabilize carbon through improved lability and recalcitrance indices. Accordingly, the objectives are (i) to assess the impact of varying organic inputs on C-dynamics, C-stock, and C-pools and (ii) to evaluate the effect of incorporating legumes into sugarcane cropping sequences on soil organic carbon (SOC) fractions, lability, and recalcitrance indices. By addressing these objectives, the study contributes to closing the knowledge gap in carbon footprint analysis under tropical farming systems and supports the global agenda of climate-resilient, low-emission agricultural practices.</p>
</sec>
<sec sec-type="materials|methods" id="sec2">
<label>2</label>
<title>Materials and methods</title>
<sec id="sec3">
<label>2.1</label>
<title>Sampling site</title>
<p>The study was structured as a multi-location farmers&#x2019; field trial focused on different sugarcane cropping sequences (<xref rid="SM1" ref-type="supplementary-material">Supplementary Table 1</xref>). The research location is an important agricultural zone within the North West Alluvial Plain Zone, characterized by a semi-arid to sub-tropical climate. Agro-climatic Zone-IV (as defined by the planning commission, now NITI Ayog), known as the &#x201C;Middle Gangatic Plains Region,&#x201D; encompasses the entire state of Bihar, including the district of Samastipur (<xref ref-type="fig" rid="fig1">Figure 1</xref>). The soils of Samastipur, Bihar, are primarily alluvial in nature, classified as Entisols and Inceptisols. They have a loamy to clay-loam texture, moderate fertility, and slightly acidic to neutral pH, making them well-suited for crop cultivation. The location has a sub-tropical, semi-arid climate according to the K&#x00F6;ppen-Geiger classification, characterized by an average annual temperature of 25.2&#x202F;&#x00B0;C and annual rainfall of 1,236&#x202F;mm (<xref ref-type="fig" rid="fig2">Figure 2</xref>). Summers are hot, winters are cool, and there is moderate rainfall, with the driest month being November and the highest precipitation occurring in July. The sugarcane field, managed by local farmers under Magadh Sugar and Energy Ltd., Hasanpur (Bihar), India (25.710118, 86.19065), follows standard procedures: fertilization, weed control, pest management, and leaf removal.</p>
<fig position="float" id="fig1">
<label>Figure 1</label>
<caption>
<p>Map of the study area of Samastipur (25.7471&#x00B0; N, 85.8896&#x00B0; E), Bihar, India.</p>
</caption>
<graphic xlink:href="fsufs-09-1535741-g001.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">Location maps depicting the study area in the Samastipur district of Bihar, India. The first map highlights India with a focus on Bihar. The second map zooms into Bihar, showing Samastipur in a distinct color. The third map provides a detailed view of the Samastipur district. The fourth panel highlights a specific study area within Samastipur. Legends indicate distances and different regions.</alt-text>
</graphic>
</fig>
<fig position="float" id="fig2">
<label>Figure 2</label>
<caption>
<p>Trends in maximum and minimum temperature, evapotranspiration, and rainfall during the sugarcane growing period in Samastipur, Bihar, India.</p>
</caption>
<graphic xlink:href="fsufs-09-1535741-g002.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">Line chart illustrating weekly meteorological data. Red dots represent maximum temperature peaking around week 31. Green dots show minimum temperature rising steadily until week 31, then dropping. Orange dots depict evaporation, which is relatively stable. Blue dots indicate rainfall with noticeable peaks at weeks 21, 25, 33, and 39. The x-axis lists standard meteorological weeks.</alt-text>
</graphic>
</fig>
</sec>
<sec id="sec4">
<label>2.2</label>
<title>Site details</title>
<p>A total of 380 individual soil samples were combined into 38 composite samples (each comprised 10 individual soil samples) collected from Hasanpur (18), Rosera (08), Warisnagar (05), Bibhutipur (04), and Khanpur (03) blocks in the agricultural landscape of Samastipur. Soil sampling was conducted at various farmers&#x2019; fields within these blocks, covering two (0&#x2013;15 and 15&#x2013;30&#x202F;cm) soil depths. Sampling sites within each field were randomly selected to ensure comprehensive coverage of soil variability (<xref ref-type="fig" rid="fig3">Figure 3</xref>).</p>
<fig position="float" id="fig3">
<label>Figure 3</label>
<caption>
<p>Description of sampling method.</p>
</caption>
<graphic xlink:href="fsufs-09-1535741-g003.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">Sampling flowchart for Samastipur, Bihar, illustrating the process of purposive and random sampling. Five blocks: Hasanpur, Rosera, Warisnagar, Bibhutipur, Khanpur. Total blocks, villages, and samples are five, eighteen, and thirty-eight, respectively. Purposive sampling includes block selection, and random sampling uses a random walk method for village and samples selection, totaling thirty-eight composite soil samples.</alt-text>
</graphic>
</fig>
</sec>
<sec id="sec5">
<label>2.3</label>
<title>Carbon pools</title>
<p>Oxidizable organic carbon was estimated by titration (<xref ref-type="bibr" rid="ref67">Walkley and Black, 1934</xref>; <xref ref-type="bibr" rid="ref31">Jackson, 1973</xref>), and its various fractions (labile and non-labile) were determined using a modified Walkley and Black method (<xref ref-type="bibr" rid="ref9">Chan, 2001</xref>). For total organic carbon (TOC) determination, 0.25&#x202F;g of the soil sample was mixed with 20&#x202F;mL of 0.4&#x202F;N chromic acid solution, heated at 155&#x2013;160&#x202F;&#x00B0;C for 20&#x2013;25&#x202F;min, and then cooled to room temperature (<xref ref-type="bibr" rid="ref31">Jackson, 1973</xref>). Active carbon was estimated by quantifying potassium permanganate (KMnO<sub>4</sub>) oxidation with a spectrophotometer (<xref ref-type="bibr" rid="ref68">Weil et al., 2003</xref>). Carbon stock and its active/passive pools were estimated (<xref ref-type="disp-formula" rid="EQ1">Equations 1</xref>&#x2013;<xref ref-type="disp-formula" rid="EQ3">3</xref>), while lability and recalcitrance indices were calculated as per <xref ref-type="bibr" rid="ref14">Datta et al. (2015)</xref> (<xref ref-type="disp-formula" rid="EQ4">Equations 4</xref>&#x2013;<xref ref-type="disp-formula" rid="EQ6">6</xref>).</p>
<disp-formula id="EQ1">
<label>(1)</label>
<mml:math id="M1">
<mml:mtable displaystyle="true">
<mml:mtr>
<mml:mtd>
<mml:mi mathvariant="italic">SOC</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mtext mathvariant="italic">Stock</mml:mtext>
<mml:mspace width="0.1em"/>
<mml:mo stretchy="true">(</mml:mo>
<mml:mi mathvariant="italic">Mg</mml:mi>
<mml:mspace width="0.1em"/>
<mml:mi>h</mml:mi>
<mml:msup>
<mml:mi>a</mml:mi>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msup>
<mml:mo stretchy="true">)</mml:mo>
</mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd>
<mml:mo>=</mml:mo>
<mml:mi mathvariant="italic">TOC</mml:mi>
<mml:mo stretchy="true">(</mml:mo>
<mml:mo>%</mml:mo>
<mml:mo stretchy="true">)</mml:mo>
<mml:mo>&#x00D7;</mml:mo>
<mml:mi mathvariant="italic">BD</mml:mi>
<mml:mo stretchy="true">(</mml:mo>
<mml:mi mathvariant="italic">Mg</mml:mi>
<mml:mspace width="0.1em"/>
<mml:msup>
<mml:mi>m</mml:mi>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>3</mml:mn>
</mml:mrow>
</mml:msup>
<mml:mspace width="0.1em"/>
<mml:mo stretchy="true">)</mml:mo>
<mml:mo>&#x00D7;</mml:mo>
<mml:mi>D</mml:mi>
<mml:mo stretchy="true">(</mml:mo>
<mml:mi>m</mml:mi>
<mml:mo stretchy="true">)</mml:mo>
</mml:mtd>
</mml:mtr>
</mml:mtable>
</mml:math>
</disp-formula>
<p>where, SOC&#x202F;=&#x202F;soil organic carbon; TOC&#x202F;=&#x202F;total organic carbon; BD&#x202F;=&#x202F;bulk density; D&#x202F;=&#x202F;depth of soil</p>
<disp-formula id="EQ2">
<label>(2)</label>
<mml:math id="M2">
<mml:mi mathvariant="italic">CAP</mml:mi>
<mml:mo>=</mml:mo>
<mml:mo stretchy="true">{</mml:mo>
<mml:mo>&#x2211;</mml:mo>
<mml:mo stretchy="true">(</mml:mo>
<mml:mi mathvariant="italic">VLC</mml:mi>
<mml:mo>+</mml:mo>
<mml:mi mathvariant="italic">LC</mml:mi>
<mml:mo stretchy="true">)</mml:mo>
<mml:mo stretchy="true">}</mml:mo>
</mml:math>
</disp-formula>
<p>where, CAP&#x202F;=&#x202F;carbon active pool; VLC&#x202F;=&#x202F;very labile carbon; LC&#x202F;=&#x202F;labile carbon</p>
<disp-formula id="EQ3">
<label>(3)</label>
<mml:math id="M3">
<mml:mi mathvariant="italic">CPP</mml:mi>
<mml:mo>=</mml:mo>
<mml:mo stretchy="true">{</mml:mo>
<mml:mo>&#x2211;</mml:mo>
<mml:mo stretchy="true">(</mml:mo>
<mml:mi mathvariant="italic">LLC</mml:mi>
<mml:mo>+</mml:mo>
<mml:mi mathvariant="italic">NLC</mml:mi>
<mml:mo stretchy="true">)</mml:mo>
<mml:mo stretchy="true">}</mml:mo>
</mml:math>
</disp-formula>
<p>where,</p>
<p>CPP&#x202F;=&#x202F;carbon passive pool; LLC&#x202F;=&#x202F;less labile carbon; NLC&#x202F;=&#x202F;non-labile carbon</p>
<disp-formula id="EQ4">
<label>(4)</label>
<mml:math id="M4">
<mml:mi mathvariant="italic">LI</mml:mi>
<mml:mo>=</mml:mo>
<mml:mn>3</mml:mn>
<mml:mspace width="thickmathspace"/>
<mml:mi mathvariant="italic">LI</mml:mi>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:msub>
<mml:mi>V</mml:mi>
<mml:mi mathvariant="italic">LC</mml:mi>
</mml:msub>
<mml:mi mathvariant="italic">TOC</mml:mi>
</mml:mfrac>
<mml:mo>+</mml:mo>
<mml:mn>2</mml:mn>
<mml:mfrac>
<mml:msub>
<mml:mi>L</mml:mi>
<mml:mi>C</mml:mi>
</mml:msub>
<mml:mi mathvariant="italic">TOC</mml:mi>
</mml:mfrac>
<mml:mo>+</mml:mo>
<mml:mfrac>
<mml:msub>
<mml:mi>L</mml:mi>
<mml:mi mathvariant="italic">LC</mml:mi>
</mml:msub>
<mml:mi mathvariant="italic">TOC</mml:mi>
</mml:mfrac>
</mml:math>
</disp-formula>
<disp-formula id="EQ5">
<label>(5)</label>
<mml:math id="M5">
<mml:mi mathvariant="italic">RI</mml:mi>
<mml:mn>1</mml:mn>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mi>L</mml:mi>
<mml:mi mathvariant="italic">LC</mml:mi>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mi>N</mml:mi>
<mml:mi mathvariant="italic">LC</mml:mi>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mi>L</mml:mi>
<mml:mi mathvariant="italic">LC</mml:mi>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mi>L</mml:mi>
<mml:mi>C</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfrac>
</mml:math>
</disp-formula>
<disp-formula id="EQ6">
<label>(6)</label>
<mml:math id="M6">
<mml:mi mathvariant="italic">RI</mml:mi>
<mml:mn>2</mml:mn>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:msub>
<mml:mi>N</mml:mi>
<mml:mi mathvariant="italic">LC</mml:mi>
</mml:msub>
<mml:mi mathvariant="italic">TOC</mml:mi>
</mml:mfrac>
</mml:math>
</disp-formula>
<p>where,</p>
<p>LI&#x202F;=&#x202F;lability index; VLC&#x202F;=&#x202F;very labile carbon; LC&#x202F;=&#x202F;labile carbon; LLC&#x202F;=&#x202F;less labile carbon; TOC&#x202F;=&#x202F;total organic carbon; NLC&#x202F;=&#x202F;non-labile carbon; RI&#x202F;=&#x202F;recalcitrance index.</p>
</sec>
<sec id="sec6">
<label>2.4</label>
<title>Statistical analysis</title>
<p>The study was structured as a multi-location farmers&#x2019; field trial, where ongoing demonstrations served as replications across different sugarcane-based cropping sequences. Data were collected over cropping years in the North West Alluvial Plain Zone of Bihar. Descriptive statistics for various soil and crop parameters were generated using IBM SPSS (v26). Location maps of the study sites were prepared in ArcGIS 10.8.2. To evaluate multi-location effects, analysis of variance (ANOVA) was performed. Replication and multi-location effects (treatment) effects across the experimentation were modeled as random factors, and variance components were estimated using Restricted Maximum Likelihood (REML). Degrees of freedom were adjusted using the Satterthwaite approximation to improve accuracy. Treatment means were compared using the critical difference (CD) test at the 5% significance level (<italic>p</italic>&#x202F;&#x2264;&#x202F;0.05), and standard errors (SE) were calculated for all comparisons. For transparency, <italic>F</italic>-values, degrees of freedom, <italic>p</italic>-values, and effect sizes (95% CI) are reported in the results.</p>
</sec>
</sec>
<sec sec-type="results" id="sec7">
<label>3</label>
<title>Results and discussion</title>
<sec id="sec8">
<label>3.1</label>
<title>Oxidizable organic carbon</title>
<p>The data revealed significant variation in oxidizable SOC content across different soil depths within the studied agricultural landscape (<xref ref-type="table" rid="tab1">Table 1</xref>). At a depth of 0&#x2013;15&#x202F;cm, mean SOC content was 5.23&#x202F;g&#x202F;kg<sup>&#x2212;1</sup>. It ranged from 3.17 to 8.01&#x202F;g&#x202F;kg<sup>&#x2212;1</sup>, and exhibited a slight positive skewness (0.30) and leptokurtic distribution (kurtosis&#x202F;=&#x202F;0.73). In contrast, at a deeper soil depth of 15&#x2013;30&#x202F;cm, the mean SOC content decreased (4.56&#x202F;g&#x202F;kg<sup>&#x2212;1</sup>), and it ranged from 2.50 to 6.90&#x202F;g&#x202F;kg<sup>&#x2212;1</sup>, with skewness (0.19) and lower kurtosis (0.33). Overall, the SOC content decreased (12.8%) at 15&#x2013;30&#x202F;cm depth. SOC content decreased with increasing soil depth, indicating a clear vertical gradient in its distribution. This pattern is critical for understanding nutrient dynamics and assessing soil health in agricultural ecosystems (<xref ref-type="table" rid="tab1">Table 1</xref>). Continuous addition of above-ground biomass and decaying roots significantly influences C-levels. Research by <xref ref-type="bibr" rid="ref19">Dotaniya et al. (2014)</xref> highlighted that organic amendments enhance C-content and stimulate microbial activity. The observed slight increase in integration of organic manure (OM) and mineral fertilizer application can be attributed to improved crop growth and higher yield, leading to increased residue and root exudate inputs that decompose and enrich the SOC. Similar findings have been reported by <xref ref-type="bibr" rid="ref43">More et al. (2007)</xref>, <xref ref-type="bibr" rid="ref5">Bokhtiar et al. (2008)</xref>, <xref ref-type="bibr" rid="ref32">Jha et al. (2017)</xref>, <xref ref-type="bibr" rid="ref58">Sinha et al. (2017a)</xref>, and <xref ref-type="bibr" rid="ref44">Mthimkhulu et al. (2016)</xref>, reinforcing the positive impact of organic inputs on soil fertility and C-dynamics.</p>
<table-wrap position="float" id="tab1">
<label>Table 1</label>
<caption>
<p>Descriptive statistics of oxidizable, total, and KMnO<sub>4</sub>-C of sugarcane growing area.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top" rowspan="2">Descriptive statistics</th>
<th align="center" valign="top" colspan="2">Oxidizable-SOC (g&#x202F;kg<sup>&#x2212;1</sup>)</th>
<th align="center" valign="top" colspan="2">Total-SOC (g&#x202F;kg<sup>&#x2212;1</sup>)</th>
<th align="center" valign="top" colspan="2">KMnO<sub>4</sub>-C (mg&#x202F;kg<sup>&#x2212;1</sup>)</th>
</tr>
<tr>
<th align="center" valign="top">0&#x2013;15&#x202F;cm</th>
<th align="center" valign="top">15&#x2013;30&#x202F;cm</th>
<th align="center" valign="top">0&#x2013;15&#x202F;cm</th>
<th align="center" valign="top">15&#x2013;30&#x202F;cm</th>
<th align="center" valign="top">0&#x2013;15&#x202F;cm</th>
<th align="center" valign="top">15&#x2013;30&#x202F;cm</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="middle">Mean</td>
<td align="center" valign="middle">5.23</td>
<td align="center" valign="middle">4.56</td>
<td align="center" valign="middle">7.64</td>
<td align="center" valign="middle">7.10</td>
<td align="center" valign="middle">263.26</td>
<td align="center" valign="middle">235.69</td>
</tr>
<tr>
<td align="left" valign="middle">Standard error</td>
<td align="center" valign="middle">0.17</td>
<td align="center" valign="middle">0.16</td>
<td align="center" valign="middle">0.19</td>
<td align="center" valign="middle">0.24</td>
<td align="center" valign="middle">9.03</td>
<td align="center" valign="middle">8.82</td>
</tr>
<tr>
<td align="left" valign="middle">Standard deviation</td>
<td align="center" valign="middle">1.06</td>
<td align="center" valign="middle">0.96</td>
<td align="center" valign="middle">1.20</td>
<td align="center" valign="middle">1.49</td>
<td align="center" valign="middle">55.6</td>
<td align="center" valign="middle">54.3</td>
</tr>
<tr>
<td align="left" valign="middle">Sample variance</td>
<td align="center" valign="middle">1.13</td>
<td align="center" valign="middle">0.92</td>
<td align="center" valign="middle">1.44</td>
<td align="center" valign="middle">2.21</td>
<td align="center" valign="middle">3,100</td>
<td align="center" valign="middle">2,957</td>
</tr>
<tr>
<td align="left" valign="middle">Skewness</td>
<td align="center" valign="middle">0.30</td>
<td align="center" valign="middle">0.19</td>
<td align="center" valign="middle">1.57</td>
<td align="center" valign="middle">1.38</td>
<td align="center" valign="middle">&#x2212;0.20</td>
<td align="center" valign="middle">&#x2212;0.19</td>
</tr>
<tr>
<td align="left" valign="middle">Kurtosis</td>
<td align="center" valign="middle">0.73</td>
<td align="center" valign="middle">0.33</td>
<td align="center" valign="middle">1.11</td>
<td align="center" valign="middle">0.74</td>
<td align="center" valign="middle">&#x2212;0.13</td>
<td align="center" valign="middle">&#x2212;0.05</td>
</tr>
<tr>
<td align="left" valign="middle">Minimum</td>
<td align="center" valign="middle">3.17</td>
<td align="center" valign="middle">2.50</td>
<td align="center" valign="middle">5.68</td>
<td align="center" valign="middle">3.85</td>
<td align="center" valign="middle">145</td>
<td align="center" valign="middle">122</td>
</tr>
<tr>
<td align="left" valign="middle">Maximum</td>
<td align="center" valign="middle">8.01</td>
<td align="center" valign="middle">6.90</td>
<td align="center" valign="middle">11.4</td>
<td align="center" valign="middle">11.4</td>
<td align="center" valign="middle">382</td>
<td align="center" valign="middle">356</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="sec9">
<label>3.2</label>
<title>Total organic carbon</title>
<p>Data showed that the mean TOC content was 7.64&#x202F;g&#x202F;kg<sup>&#x2212;1</sup>. It ranged from 5.68 to 11.4&#x202F;g&#x202F;kg<sup>&#x2212;1</sup>, showing a positively skewed distribution (skewness&#x202F;=&#x202F;1.57) and slightly leptokurtic shape (kurtosis&#x202F;=&#x202F;1.11) at 0&#x2013;15&#x202F;cm. Meanwhile, at 15&#x2013;30&#x202F;cm, the mean SOC content decreased to 7.10&#x202F;g&#x202F;kg<sup>&#x2212;1</sup> and ranged from 3.85&#x2013;11.4&#x202F;g&#x202F;kg<sup>&#x2212;1</sup>, exhibiting a similar positively skewed distribution (skewness&#x202F;=&#x202F;1.38) and lower kurtosis (kurtosis&#x202F;=&#x202F;0.74) compared to the 0&#x2013;15&#x202F;cm depth. A 7.1% decline in mean TOC content was observed at the 15&#x2013;30&#x202F;cm soil depth (<xref ref-type="table" rid="tab1">Table 1</xref>). Understanding the factors influencing variations in TOC levels, such as land use practices, soil management strategies, and climatic conditions, is crucial for optimizing sustainable agricultural practices and C-sequestration. OM application to soil, as observed with SOC, plays a significant role in enhancing C-content. This phenomenon is supported by findings in the literature (<xref ref-type="bibr" rid="ref19">Dotaniya et al., 2014</xref>; <xref ref-type="bibr" rid="ref43">More et al., 2007</xref>; <xref ref-type="bibr" rid="ref5">Bokhtiar et al., 2008</xref>; <xref ref-type="bibr" rid="ref32">Jha et al., 2017</xref>; <xref ref-type="bibr" rid="ref59">Sinha et al., 2017b</xref>; <xref ref-type="bibr" rid="ref44">Mthimkhulu et al., 2016</xref>), which highlight the positive impact of organic inputs on C-dynamics. By elucidating these relationships, researchers can better formulate strategies to enhance SOC levels and improve soil health, thereby contributing to broader environmental sustainability goals (<xref ref-type="table" rid="tab1">Table 1</xref>).</p>
</sec>
<sec id="sec10">
<label>3.3</label>
<title>KMnO<sub>4</sub>-C</title>
<p>Results showed that KMnO<sub>4</sub>-C content in the soil varied between depths in the agricultural landscape (<xref ref-type="table" rid="tab1">Table 1</xref>). At 0&#x2013;15&#x202F;cm, the mean KMnO<sub>4</sub>-C content was 263.26&#x202F;mg&#x202F;kg<sup>&#x2212;1</sup>, and it ranged from 145 to 382&#x202F;mg&#x202F;kg<sup>&#x2212;1</sup>, showing a negatively skewed distribution (skewness&#x202F;=&#x202F;&#x2212;0.20) and platykurtic shape (kurtosis&#x202F;=&#x202F;&#x2212;0.13). While at 15&#x2013;30&#x202F;cm, the mean KMnO<sub>4</sub>-C content decreased to 235.69&#x202F;mg&#x202F;kg<sup>&#x2212;1</sup> and ranged from 122 to 356&#x202F;mg&#x202F;kg<sup>&#x2212;1</sup>, displaying similar skewness (skewness&#x202F;=&#x202F;&#x2212;0.19) and kurtosis (kurtosis&#x202F;=&#x202F;&#x2212;0.05) compared to the 0&#x2013;15&#x202F;cm depth (<xref ref-type="table" rid="tab1">Table 1</xref>). The variation in the soil depth was 10.5%. This observed decline in KMnO<sub>4</sub>-C levels with increasing soil depth suggests a gradient in C-availability that is pivotal for understanding SOC dynamics and nutrient cycling in agricultural systems. Further exploration of factors influencing KMnO<sub>4</sub>-C, such as management practices and soil physical properties, is essential to optimize C-sequestration and enhance soil health strategies. Higher KMnO<sub>4</sub>-C in the 0&#x2013;15&#x202F;cm layer may be attributed to enhanced root biomass, rhizodeposition, and microbial activity. Monitoring labile organic matter fractions offers a sensitive and effective approach for evaluating soil quality dynamics (<xref ref-type="bibr" rid="ref45">Needelman et al., 1999</xref>; <xref ref-type="bibr" rid="ref17">Ding et al., 2006</xref>; <xref ref-type="bibr" rid="ref4">Benbi et al., 2015</xref>; <xref ref-type="bibr" rid="ref39">Meena et al., 2021</xref>).</p>
</sec>
<sec id="sec11">
<label>3.4</label>
<title>Very labile carbon and labile carbon</title>
<p>Data showed that a significant variation was found in VL-C and L-C content across different depths within the agricultural landscape (<xref ref-type="table" rid="tab2">Table 2</xref>). At 0&#x2013;15&#x202F;cm, the mean C-VL content was 1.56&#x202F;g&#x202F;kg<sup>&#x2212;1</sup> and ranged from 1.02 to 2.60&#x202F;g&#x202F;kg<sup>&#x2212;1</sup>, showing a positively skewed distribution (skewness&#x202F;=&#x202F;0.63) and platykurtic shape (kurtosis&#x202F;=&#x202F;&#x2212;0.58). However, at 15&#x2013;30&#x202F;cm, the mean C-VL content decreased to 1.31&#x202F;g&#x202F;kg<sup>&#x2212;1</sup>, and ranged from 0.90 to 1.98&#x202F;g&#x202F;kg<sup>&#x2212;1</sup>, exhibiting a similar positively skewed distribution (skewness&#x202F;=&#x202F;0.68) and slightly lower kurtosis (kurtosis&#x202F;=&#x202F;&#x2212;0.31) compared to the 0&#x2013;15&#x202F;cm depth. The decline in mean C-VL content from 0&#x2013;15 cm to 15&#x2013;30&#x202F;cm depth was 16% (<xref ref-type="table" rid="tab2">Table 2</xref>).</p>
<table-wrap position="float" id="tab2">
<label>Table 2</label>
<caption>
<p>Descriptive statistics of various carbon fractions of sugarcane growing area.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top" rowspan="2">Descriptive statistics</th>
<th align="center" valign="top" colspan="2">C-VL (g&#x202F;kg<sup>&#x2212;1</sup>)</th>
<th align="center" valign="top" colspan="2">C-L (g&#x202F;kg<sup>&#x2212;1</sup>)</th>
<th align="center" valign="top" colspan="2">C-LL (g&#x202F;kg<sup>&#x2212;1</sup>)</th>
<th align="center" valign="top" colspan="2">C-NL (g&#x202F;kg<sup>&#x2212;1</sup>)</th>
</tr>
<tr>
<th align="center" valign="top">0&#x2013;15&#x202F;cm</th>
<th align="center" valign="top">15&#x2013;30&#x202F;cm</th>
<th align="center" valign="top">0&#x2013;15&#x202F;cm</th>
<th align="center" valign="top">15&#x2013;30&#x202F;cm</th>
<th align="center" valign="top">0&#x2013;15&#x202F;cm</th>
<th align="center" valign="top">15&#x2013;30&#x202F;cm</th>
<th align="center" valign="top">0&#x2013;15&#x202F;cm</th>
<th align="center" valign="top">15&#x2013;30&#x202F;cm</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="middle">Mean</td>
<td align="center" valign="middle">1.56</td>
<td align="center" valign="middle">1.31</td>
<td align="center" valign="middle">1.50</td>
<td align="center" valign="middle">1.22</td>
<td align="center" valign="middle">2.16</td>
<td align="center" valign="middle">2.04</td>
<td align="center" valign="middle">2.41</td>
<td align="center" valign="middle">2.54</td>
</tr>
<tr>
<td align="left" valign="middle">Standard error</td>
<td align="center" valign="middle">0.07</td>
<td align="center" valign="middle">0.04</td>
<td align="center" valign="middle">0.04</td>
<td align="center" valign="middle">0.05</td>
<td align="center" valign="middle">0.09</td>
<td align="center" valign="middle">0.08</td>
<td align="center" valign="middle">0.05</td>
<td align="center" valign="middle">0.11</td>
</tr>
<tr>
<td align="left" valign="middle">Standard deviation</td>
<td align="center" valign="middle">0.42</td>
<td align="center" valign="middle">0.26</td>
<td align="center" valign="middle">0.24</td>
<td align="center" valign="middle">0.29</td>
<td align="center" valign="middle">0.54</td>
<td align="center" valign="middle">0.50</td>
<td align="center" valign="middle">0.29</td>
<td align="center" valign="middle">0.70</td>
</tr>
<tr>
<td align="left" valign="middle">Sample variance</td>
<td align="center" valign="middle">0.17</td>
<td align="center" valign="middle">0.07</td>
<td align="center" valign="middle">0.06</td>
<td align="center" valign="middle">0.09</td>
<td align="center" valign="middle">0.29</td>
<td align="center" valign="middle">0.25</td>
<td align="center" valign="middle">0.09</td>
<td align="center" valign="middle">0.49</td>
</tr>
<tr>
<td align="left" valign="middle">Skewness</td>
<td align="center" valign="middle">0.63</td>
<td align="center" valign="middle">0.68</td>
<td align="center" valign="middle">0.33</td>
<td align="center" valign="middle">0.13</td>
<td align="center" valign="middle">0.14</td>
<td align="center" valign="middle">0.48</td>
<td align="center" valign="middle">0.41</td>
<td align="center" valign="middle">0.98</td>
</tr>
<tr>
<td align="left" valign="middle">Kurtosis</td>
<td align="center" valign="middle">&#x2212;0.58</td>
<td align="center" valign="middle">&#x2212;0.31</td>
<td align="center" valign="middle">&#x2212;0.32</td>
<td align="center" valign="middle">0.88</td>
<td align="center" valign="middle">0.39</td>
<td align="center" valign="middle">0.85</td>
<td align="center" valign="middle">4.70</td>
<td align="center" valign="middle">0.82</td>
</tr>
<tr>
<td align="left" valign="middle">Minimum</td>
<td align="center" valign="middle">1.02</td>
<td align="center" valign="middle">0.90</td>
<td align="center" valign="middle">1.13</td>
<td align="center" valign="middle">0.43</td>
<td align="center" valign="middle">0.93</td>
<td align="center" valign="middle">1.00</td>
<td align="center" valign="middle">1.48</td>
<td align="center" valign="middle">1.35</td>
</tr>
<tr>
<td align="left" valign="middle">Maximum</td>
<td align="center" valign="middle">2.60</td>
<td align="center" valign="middle">1.98</td>
<td align="center" valign="middle">2.08</td>
<td align="center" valign="middle">1.97</td>
<td align="center" valign="middle">3.33</td>
<td align="center" valign="middle">3.45</td>
<td align="center" valign="middle">3.41</td>
<td align="center" valign="middle">4.54</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>Meanwhile, C-L in the soil showed variations across different depths (<xref ref-type="table" rid="tab2">Table 2</xref>). At 0&#x2013;15&#x202F;cm, the mean C-L content was 1.50&#x202F;g&#x202F;kg<sup>&#x2212;1</sup> and ranged from 1.13 to 2.08&#x202F;g&#x202F;kg<sup>&#x2212;1</sup>, showing a positively skewed distribution (skewness&#x202F;=&#x202F;0.33) and slightly platykurtic shape (kurtosis&#x202F;=&#x202F;&#x2212;0.32). In contrast, at 15&#x2013;30&#x202F;cm, the mean C-L content decreased to 1.22&#x202F;g&#x202F;kg<sup>&#x2212;1</sup> and ranged from 0.43 to 1.97&#x202F;g&#x202F;kg<sup>&#x2212;1</sup>, exhibiting a similar positively skewed distribution (skewness&#x202F;=&#x202F;0.13) and leptokurtic shape (kurtosis&#x202F;=&#x202F;0.88) compared to the 0&#x2013;15&#x202F;cm depth. The decrease in mean C-L content from 0&#x2013;15&#x202F;cm to 15&#x2013;30&#x202F;cm depth was approximately 18.7% (<xref ref-type="table" rid="tab2">Table 2</xref>). These higher VL-C and L-C contents signify enhanced microbial activity and OM turnover (<xref ref-type="bibr" rid="ref40">Meena et al., 2018</xref>; <xref ref-type="bibr" rid="ref39">Meena et al., 2021</xref>). Monitoring these fractions provides insights into the responsiveness of soil carbon pools to management practices, facilitating sustainable agricultural strategies aimed at enhancing soil health and C-sequestration efforts (<xref ref-type="table" rid="tab2">Table 2</xref>). Integrated studies on sugarcane highlight that sustainable trash management (<xref ref-type="bibr" rid="ref22">Gadge et al., 2017</xref>; <xref ref-type="bibr" rid="ref56">Shanthy et al., 2020</xref>), conservation tillage (<xref ref-type="bibr" rid="ref16">de Oliveira et al., 2022</xref>; <xref ref-type="bibr" rid="ref66">Turmel et al., 2015</xref>), and optimized fertigation (<xref ref-type="bibr" rid="ref53">Ravikumar et al., 2011</xref>) are key to enhancing productivity, improving soil health, and ensuring long-term ecological balance.</p>
</sec>
<sec id="sec12">
<label>3.5</label>
<title>Less labile carbon and non-labile carbon</title>
<p>Results showed that less labile carbon (LL-C) content at 0&#x2013;15&#x202F;cm soil layer ranged from 0.93&#x2013;3.33&#x202F;g&#x202F;kg<sup>&#x2212;1</sup>, with a mean value (2.16&#x202F;g&#x202F;kg<sup>&#x2212;1</sup>), showing a slightly positively skewed distribution (skewness&#x202F;=&#x202F;0.14) and mesokurtic shape (kurtosis&#x202F;=&#x202F;0.39). At 15&#x2013;30&#x202F;cm, the mean LL-C content slightly decreased to 2.04&#x202F;g&#x202F;kg<sup>&#x2212;1</sup> and ranged from 1.00&#x2013;3.45&#x202F;g&#x202F;kg<sup>&#x2212;1</sup>, exhibiting a similar positively skewed distribution (skewness&#x202F;=&#x202F;0.48) and higher kurtosis (kurtosis&#x202F;=&#x202F;0.85) compared to the 0&#x2013;15&#x202F;cm depth. The slight decrease in mean LL-C content from 0&#x2013;15 cm to 15&#x2013;30&#x202F;cm depth was approximately 5.6% (<xref ref-type="table" rid="tab2">Table 2</xref>).</p>
<p>Meanwhile, in the case of NL-C at 0&#x2013;15&#x202F;cm, the mean was 2.41&#x202F;g&#x202F;kg<sup>&#x2212;1</sup> and ranged from 1.48 to 3.41&#x202F;g&#x202F;kg<sup>&#x2212;1</sup>, showing a positively skewed distribution (skewness&#x202F;=&#x202F;0.41) and a highly leptokurtic shape (kurtosis&#x202F;=&#x202F;4.70). At 15&#x2013;30&#x202F;cm, the mean NL-C content slightly increased to 2.54&#x202F;g&#x202F;kg<sup>&#x2212;1</sup>, ranging from 1.35&#x2013;4.54&#x202F;g&#x202F;kg<sup>&#x2212;1</sup>, exhibiting a similar positively skewed distribution (skewness&#x202F;=&#x202F;0.98) and lower kurtosis (kurtosis&#x202F;=&#x202F;0.82) compared to the 0&#x2013;15&#x202F;cm depth. The slight increase in mean NL-C content from 0&#x2013;15&#x202F;cm to 15&#x2013;30&#x202F;cm depth was 5.4% (<xref ref-type="table" rid="tab2">Table 2</xref>). Sugarcane trash, being less prone to microbial decomposition, tends to accumulate as passive SOC over time. This phenomenon underscores the role of agricultural practices in influencing C-dynamics, where annual additions of sugarcane trash to the surface layer may enhance the active C-fraction compared to the deeper layer. Crop residues support microbial proliferation, which in turn stimulates nutrient cycling and enhances soil fertility (<xref ref-type="bibr" rid="ref20">Ensinas et al., 2015</xref>; <xref ref-type="bibr" rid="ref42">Mir et al., 2023</xref>). Additionally, <xref ref-type="bibr" rid="ref38">Majumder et al. (2008)</xref> support the idea that management options influence the balance between C-inputs (e.g., root biomass, litter fall) and outputs (e.g., heterotrophic respiration), thereby affecting soil carbon pools. These findings align with studies by <xref ref-type="bibr" rid="ref42">Mir et al. (2023)</xref> and <xref ref-type="bibr" rid="ref4">Benbi et al. (2015)</xref>, which emphasize the importance of understanding carbon dynamics in agricultural systems to optimize carbon management strategies and mitigate climate change impacts (<xref ref-type="table" rid="tab3">Table 3</xref>).</p>
<table-wrap position="float" id="tab3">
<label>Table 3</label>
<caption>
<p>Descriptive statistics of C-stock and C-pools of sugarcane growing area.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top" rowspan="2">Descriptive statistics</th>
<th align="center" valign="top" colspan="2">TOC stock (Mg&#x202F;ha<sup>&#x2212;1</sup>)</th>
<th align="center" valign="top" colspan="2">Active pool (g&#x202F;kg<sup>&#x2212;1</sup>)</th>
<th align="center" valign="top" colspan="2">Passive pool (g&#x202F;kg<sup>&#x2212;1</sup>)</th>
</tr>
<tr>
<th align="center" valign="top">0&#x2013;15&#x202F;cm</th>
<th align="center" valign="top">15&#x2013;30&#x202F;cm</th>
<th align="center" valign="top">0&#x2013;15&#x202F;cm</th>
<th align="center" valign="top">15&#x2013;30&#x202F;cm</th>
<th align="center" valign="top">0&#x2013;15&#x202F;cm</th>
<th align="center" valign="top">15&#x2013;30&#x202F;cm</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="middle">Mean</td>
<td align="center" valign="middle">17.00</td>
<td align="center" valign="middle">16.72</td>
<td align="center" valign="middle">3.07</td>
<td align="center" valign="middle">2.53</td>
<td align="center" valign="middle">4.57</td>
<td align="center" valign="middle">4.58</td>
</tr>
<tr>
<td align="left" valign="middle">Standard error</td>
<td align="center" valign="middle">0.44</td>
<td align="center" valign="middle">0.48</td>
<td align="center" valign="middle">0.10</td>
<td align="center" valign="middle">0.09</td>
<td align="center" valign="middle">0.11</td>
<td align="center" valign="middle">0.18</td>
</tr>
<tr>
<td align="left" valign="middle">Standard deviation</td>
<td align="center" valign="middle">2.70</td>
<td align="center" valign="middle">2.93</td>
<td align="center" valign="middle">0.63</td>
<td align="center" valign="middle">0.53</td>
<td align="center" valign="middle">0.66</td>
<td align="center" valign="middle">1.08</td>
</tr>
<tr>
<td align="left" valign="middle">Sample variance</td>
<td align="center" valign="middle">7.27</td>
<td align="center" valign="middle">8.58</td>
<td align="center" valign="middle">0.39</td>
<td align="center" valign="middle">0.28</td>
<td align="center" valign="middle">0.43</td>
<td align="center" valign="middle">1.16</td>
</tr>
<tr>
<td align="left" valign="middle">Skewness</td>
<td align="center" valign="middle">1.18</td>
<td align="center" valign="middle">0.62</td>
<td align="center" valign="middle">0.56</td>
<td align="center" valign="middle">0.36</td>
<td align="center" valign="middle">1.11</td>
<td align="center" valign="middle">1.00</td>
</tr>
<tr>
<td align="left" valign="middle">Kurtosis</td>
<td align="center" valign="middle">2.19</td>
<td align="center" valign="middle">0.59</td>
<td align="center" valign="middle">&#x2212;0.30</td>
<td align="center" valign="middle">&#x2212;0.44</td>
<td align="center" valign="middle">2.19</td>
<td align="center" valign="middle">1.86</td>
</tr>
<tr>
<td align="left" valign="middle">Minimum</td>
<td align="center" valign="middle">12.6</td>
<td align="center" valign="middle">10.2</td>
<td align="center" valign="middle">2.15</td>
<td align="center" valign="middle">1.43</td>
<td align="center" valign="middle">3.44</td>
<td align="center" valign="middle">2.42</td>
</tr>
<tr>
<td align="left" valign="middle">Maximum</td>
<td align="center" valign="middle">25.9</td>
<td align="center" valign="middle">24.5</td>
<td align="center" valign="middle">4.68</td>
<td align="center" valign="middle">3.65</td>
<td align="center" valign="middle">6.74</td>
<td align="center" valign="middle">7.99</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="sec13">
<label>3.6</label>
<title>Carbon stock</title>
<p>Carbon stock in the soil varied across different depths within the agricultural landscape (<xref ref-type="table" rid="tab3">Table 3</xref>). Results showed that the mean C-stock (17.00&#x202F;Mg&#x202F;ha<sup>&#x2212;1</sup>) ranged from 12.6 to 25.9&#x202F;Mg&#x202F;ha<sup>&#x2212;1</sup> at 0&#x2013;15&#x202F;cm and showed a positively skewed distribution (skewness&#x202F;=&#x202F;1.18) and leptokurtic shape (kurtosis&#x202F;=&#x202F;2.19). At 15&#x2013;30&#x202F;cm, the mean C-stock slightly decreased to 16.72&#x202F;Mg&#x202F;ha<sup>&#x2212;1</sup> and ranged from 10.2 to 24.5&#x202F;Mg&#x202F;ha<sup>&#x2212;1</sup>, exhibiting a similar positively skewed distribution (skewness&#x202F;=&#x202F;0.62) and slightly lower kurtosis (kurtosis&#x202F;=&#x202F;0.59) compared to the 0&#x2013;15&#x202F;cm depth. The decrease in mean C-stock from 0&#x2013;15&#x202F;cm to 15&#x2013;30&#x202F;cm depth was 1.6% (<xref ref-type="table" rid="tab3">Table 3</xref>). The decline in mean C-stock from 0&#x2013;15&#x202F;cm to 15&#x2013;30&#x202F;cm depth highlights significant variations in organic carbon storage, crucial for soil fertility, C-sequestration, and overall soil health in the region (<xref ref-type="table" rid="tab3">Table 3</xref>). Recent studies by <xref ref-type="bibr" rid="ref20">Ensinas et al. (2015)</xref> emphasize the role of cropping systems, such as sugarcane cultivation, in influencing C-stocks and GHG mitigation. Further research on TOC dynamics, soil properties, and management practices is essential for optimizing carbon management strategies in agricultural landscapes (<xref ref-type="bibr" rid="ref4">Benbi et al., 2015</xref>; <xref ref-type="bibr" rid="ref38">Majumder et al., 2008</xref>; <xref ref-type="bibr" rid="ref57">Sherrod et al., 2005</xref>; <xref ref-type="bibr" rid="ref42">Mir et al., 2023</xref>).</p>
</sec>
<sec id="sec14">
<label>3.7</label>
<title>Active and passive carbon pools</title>
<p>Data showed that active and passive carbon pools varied across the soil depths (<xref ref-type="table" rid="tab3">Table 3</xref>) within the agricultural landscape. At 0&#x2013;15&#x202F;cm, the mean active pool was 3.07&#x202F;g&#x202F;kg<sup>&#x2212;1</sup>, and it ranged from 2.15 to 4.68&#x202F;g&#x202F;kg<sup>&#x2212;1</sup>, showing a moderately positively skewed distribution (skewness&#x202F;=&#x202F;0.56) and a slightly negative kurtosis (kurtosis&#x202F;=&#x202F;&#x2212;0.30). At 15&#x2013;30&#x202F;cm, the mean active pool decreased to 2.53&#x202F;g&#x202F;kg<sup>&#x2212;1</sup>, and it ranged from 1.43 to 3.65&#x202F;g&#x202F;kg<sup>&#x2212;1</sup>, indicating a similar positively skewed distribution (skewness&#x202F;=&#x202F;0.36) and a more negative kurtosis (kurtosis&#x202F;=&#x202F;&#x2212;0.44) compared to the 0&#x2013;15&#x202F;cm depth. Overall, these findings indicated a decrease (17.59%) in the mean active pool of soil carbon from the 0&#x2013;15&#x202F;cm to the 15&#x2013;30&#x202F;cm soil depths. However, the passive pool of soil carbon showed a negligible change of approximately 0.22% from the 0&#x2013;15&#x202F;cm to the 15&#x2013;30&#x202F;cm soil depths (<xref ref-type="table" rid="tab3">Table 3</xref>). These findings underscore the complex dynamics of soil carbon storage and turnover, crucial for optimizing C-sequestration and soil fertility management strategies (<xref ref-type="bibr" rid="ref36">Lal, 2004</xref>; <xref ref-type="bibr" rid="ref49">Paustian et al., 2000</xref>; <xref ref-type="bibr" rid="ref54">Regnier et al., 2022</xref>; <xref ref-type="bibr" rid="ref64">Tubiello et al., 2021</xref>; <xref ref-type="bibr" rid="ref69">Wieder et al., 2015</xref>; <xref ref-type="bibr" rid="ref21">Fan et al., 2023</xref>; <xref ref-type="bibr" rid="ref10">Chen et al., 2022</xref>; <xref ref-type="bibr" rid="ref3">Batjes et al., 2020</xref>).</p>
</sec>
<sec id="sec15">
<label>3.8</label>
<title>Lability and recalcitrance index</title>
<p>The data indicated that LI, RI-I, and RI-II values varied significantly across different soil depths (<xref ref-type="table" rid="tab4">Table 4</xref>). At the 0&#x2013;15&#x202F;cm depth, the mean LI was 1.28 and ranged from 1.10 to 1.47. The distribution showed a slight positive skewness (skewness&#x202F;=&#x202F;0.08) and exhibited a platykurtic shape (kurtosis&#x202F;=&#x202F;&#x2212;0.88), indicating a relatively flat distribution compared to a normal distribution. At the 15&#x2013;30&#x202F;cm depth, the mean LI slightly decreased to 1.19 and ranged from 1.04 to 1.38, with higher positive skewness (skewness&#x202F;=&#x202F;0.22) and more negative kurtosis (kurtosis&#x202F;=&#x202F;&#x2212;1.55), suggesting a more peaked and narrower distribution compared to the 0&#x2013;15&#x202F;cm depth (<xref ref-type="table" rid="tab4">Table 4</xref>).</p>
<table-wrap position="float" id="tab4">
<label>Table 4</label>
<caption>
<p>Descriptive statistics of lability and recalcitrance index of sugarcane growing area.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top" rowspan="2">Descriptive statistics</th>
<th align="center" valign="top" colspan="2">LI</th>
<th align="center" valign="top" colspan="2">RI-1</th>
<th align="center" valign="top" colspan="2">RI-2</th>
</tr>
<tr>
<th align="center" valign="top">0&#x2013;15&#x202F;cm</th>
<th align="center" valign="top">15&#x2013;30&#x202F;cm</th>
<th align="center" valign="top">0&#x2013;15&#x202F;cm</th>
<th align="center" valign="top">15&#x2013;30&#x202F;cm</th>
<th align="center" valign="top">0&#x2013;15&#x202F;cm</th>
<th align="center" valign="top">15&#x2013;30&#x202F;cm</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="middle">Mean</td>
<td align="center" valign="middle">1.28</td>
<td align="center" valign="middle">1.19</td>
<td align="center" valign="middle">1.52</td>
<td align="center" valign="middle">1.83</td>
<td align="center" valign="middle">0.32</td>
<td align="center" valign="middle">0.36</td>
</tr>
<tr>
<td align="left" valign="middle">Standard error</td>
<td align="center" valign="middle">0.01</td>
<td align="center" valign="middle">0.02</td>
<td align="center" valign="middle">0.04</td>
<td align="center" valign="middle">0.05</td>
<td align="center" valign="middle">0.01</td>
<td align="center" valign="middle">0.01</td>
</tr>
<tr>
<td align="left" valign="middle">Standard deviation</td>
<td align="center" valign="middle">0.09</td>
<td align="center" valign="middle">0.11</td>
<td align="center" valign="middle">0.24</td>
<td align="center" valign="middle">0.31</td>
<td align="center" valign="middle">0.04</td>
<td align="center" valign="middle">0.05</td>
</tr>
<tr>
<td align="left" valign="middle">Sample variance</td>
<td align="center" valign="middle">0.01</td>
<td align="center" valign="middle">0.01</td>
<td align="center" valign="middle">0.06</td>
<td align="center" valign="middle">0.10</td>
<td align="center" valign="middle">0.00</td>
<td align="center" valign="middle">0.00</td>
</tr>
<tr>
<td align="left" valign="middle">Skewness</td>
<td align="center" valign="middle">0.08</td>
<td align="center" valign="middle">0.22</td>
<td align="center" valign="middle">1.27</td>
<td align="center" valign="middle">0.18</td>
<td align="center" valign="middle">0.14</td>
<td align="center" valign="middle">0.21</td>
</tr>
<tr>
<td align="left" valign="middle">Kurtosis</td>
<td align="center" valign="middle">&#x2212;0.88</td>
<td align="center" valign="middle">&#x2212;1.55</td>
<td align="center" valign="middle">2.25</td>
<td align="center" valign="middle">&#x2212;0.79</td>
<td align="center" valign="middle">0.61</td>
<td align="center" valign="middle">&#x2212;1.18</td>
</tr>
<tr>
<td align="left" valign="middle">Minimum</td>
<td align="center" valign="middle">1.10</td>
<td align="center" valign="middle">1.04</td>
<td align="center" valign="middle">1.23</td>
<td align="center" valign="middle">1.33</td>
<td align="center" valign="middle">0.22</td>
<td align="center" valign="middle">0.28</td>
</tr>
<tr>
<td align="left" valign="middle">Maximum</td>
<td align="center" valign="middle">1.47</td>
<td align="center" valign="middle">1.38</td>
<td align="center" valign="middle">2.32</td>
<td align="center" valign="middle">2.53</td>
<td align="center" valign="middle">0.44</td>
<td align="center" valign="middle">0.46</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>Meanwhile, in the case of RI-1 at 0&#x2013;15&#x202F;cm depth, the mean was 1.52 and varied from 1.23 to 2.32 with positive skewness (skewness&#x202F;=&#x202F;1.27) and exhibited leptokurtic shape (kurtosis&#x202F;=&#x202F;2.25). At 15&#x2013;30&#x202F;cm depth, the mean was increased to 1.83 and ranged from 1.33 to 2.53. Distribution showed a lower positive skewness (skewness&#x202F;=&#x202F;0.18) and negative kurtosis (kurtosis&#x202F;=&#x202F;&#x2212;0.79), indicating a more flattened and broader distribution compared to the 0&#x2013;15&#x202F;cm depth (<xref ref-type="table" rid="tab4">Table 4</xref>). Similarly, in the case of RI-2 at 0&#x2013;15&#x202F;cm depth, the mean was 0.32 and ranged from 0.22 to 0.44, indicating a relatively narrow distribution. The distribution showed a slight positive skewness (skewness&#x202F;=&#x202F;0.14) and exhibited a slightly leptokurtic shape (kurtosis&#x202F;=&#x202F;0.61), suggesting a moderately peaked distribution compared to a normal distribution. At 15&#x2013;30&#x202F;cm depth, the mean RI-2 increased slightly to 0.36, and values ranged from 0.28 to 0.46, indicating a slightly wider distribution compared to the 0&#x2013;15&#x202F;cm depth. The distribution showed a positive skewness (skewness&#x202F;=&#x202F;0.21) and negative kurtosis (kurtosis&#x202F;=&#x202F;&#x2212;1.18), suggesting a flatter and broader distribution compared to the 0&#x2013;15&#x202F;cm depth (<xref ref-type="table" rid="tab4">Table 4</xref>). These findings underscore the importance of understanding C-stability dynamics in soil profiles, crucial for implementing effective soil management strategies to enhance C-sequestration and mitigate climate change impacts (<xref ref-type="bibr" rid="ref25">Hassink, 1997</xref>; <xref ref-type="bibr" rid="ref51">Poeplau and Don, 2015</xref>; <xref ref-type="bibr" rid="ref70">Yang et al., 2024</xref>; <xref ref-type="bibr" rid="ref46">Nie et al., 2024</xref>; <xref ref-type="bibr" rid="ref37">Lu et al., 2024</xref>; <xref ref-type="bibr" rid="ref1">Adhikari et al., 2024</xref>; <xref ref-type="bibr" rid="ref41">Meena et al., 2024</xref>).</p>
</sec>
<sec id="sec16">
<label>3.9</label>
<title>Correlation matrix</title>
<p>The correlation matrix revealed significant relationships among soil parameters across different soil depths within the studied agricultural landscape (<xref ref-type="table" rid="tab5">Tables 5</xref>, <xref ref-type="table" rid="tab6">6</xref>). OC refers to organic carbon in soil organic matter, while TOC is a broader term that includes all forms of organic carbon, both particulate and dissolved, providing a more comprehensive measure. At the 0&#x2013;15&#x202F;cm soil depth, pH was negatively correlated with TOC (r&#x202F;=&#x202F;&#x2212;0.732&#x002A;&#x002A;) and KMnO&#x2084;-C (r&#x202F;=&#x202F;&#x2212;0.710&#x002A;&#x002A;), indicating reduced carbon levels with increasing pH. In contrast, EC showed strong positive correlations with TOC (r&#x202F;=&#x202F;0.750&#x002A;&#x002A;) and KMnO&#x2084;-C (r&#x202F;=&#x202F;0.757&#x002A;&#x002A;). Nitrogen exhibited the highest correlation with TOC (r&#x202F;=&#x202F;0.903&#x002A;&#x002A;) and KMnO&#x2084;-C (r&#x202F;=&#x202F;0.906&#x002A;&#x002A;). Sulfur and water-stable aggregates (WSA) were also strongly associated with KMnO&#x2084;-C (r&#x202F;=&#x202F;0.888&#x002A;&#x002A; and r&#x202F;=&#x202F;0.806&#x002A;&#x002A;, respectively), suggesting their key roles in carbon stabilization (<xref ref-type="table" rid="tab5">Table 5</xref>). Meanwhile, at 15&#x2013;30&#x202F;cm depth, nitrogen showed strong positive correlations with TOC (r&#x202F;=&#x202F;0.826&#x002A;&#x002A;) and OC (r&#x202F;=&#x202F;0.863&#x002A;&#x002A;). Sulfur and phosphorus were also highly correlated with TOC (r&#x202F;=&#x202F;0.744&#x002A;&#x002A; and r&#x202F;=&#x202F;0.715&#x002A;&#x002A;, respectively). In contrast, bulk density was strongly negatively correlated with TOC (r&#x202F;=&#x202F;&#x2212;0.734&#x002A;&#x002A;) and OC (r&#x202F;=&#x202F;&#x2212;0.763&#x002A;&#x002A;). Unlike in the surface layer, KMnO&#x2084;-C showed no significant associations, indicating its lower sensitivity at this depth (<xref ref-type="table" rid="tab5">Tables 5</xref>, <xref ref-type="table" rid="tab6">6</xref>). Recent studies underscore the importance of sustainable sugarcane cultivation using efficient irrigation (<xref ref-type="bibr" rid="ref23">Gunarathna et al., 2018</xref>), trash and tillage practices (<xref ref-type="bibr" rid="ref63">Surendran et al., 2016</xref>; <xref ref-type="bibr" rid="ref61">Solomon, 2016</xref>; <xref ref-type="bibr" rid="ref62">Suma and Savitha, 2015</xref>), and precision nutrient management (<xref ref-type="bibr" rid="ref2">Basanta et al., 2003</xref>; <xref ref-type="bibr" rid="ref13">Choudhary et al., 2017</xref>). These strategies improve yield, enhance soil health, and boost resource use efficiency (<xref ref-type="bibr" rid="ref52">Powar et al., 2021</xref>).</p>
<table-wrap position="float" id="tab5">
<label>Table 5</label>
<caption>
<p>Correlation matrix between soil health parameters and soil carbon pools (0&#x2013;15&#x202F;cm soil depth).<xref ref-type="table-fn" rid="tfn1"><sup>a</sup></xref></p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top">Correlation matrix</th>
<th align="center" valign="top">OC</th>
<th align="center" valign="top">VL-C</th>
<th align="center" valign="top">L-C</th>
<th align="center" valign="top">LL-C</th>
<th align="center" valign="top">NL-C</th>
<th align="center" valign="top">TOC</th>
<th align="center" valign="top">TOC stock</th>
<th align="center" valign="top">KMnO<sub>4</sub>-C</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="middle">PH</td>
<td align="center" valign="middle">&#x2212;0.745<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">&#x2212;0.615<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">&#x2212;0.559<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">&#x2212;0.747<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">&#x2212;0.287<sup>NS</sup></td>
<td align="center" valign="middle">&#x2212;0.732<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">&#x2212;0.628<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">&#x2212;0.710<sup>&#x002A;&#x002A;</sup></td>
</tr>
<tr>
<td align="left" valign="middle">EC</td>
<td align="center" valign="middle">0.774<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.766<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.692<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.631<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.252<sup>NS</sup></td>
<td align="center" valign="middle">0.750<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.663<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.757<sup>&#x002A;&#x002A;</sup></td>
</tr>
<tr>
<td align="left" valign="middle">N</td>
<td align="center" valign="middle">0.929<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.832<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.755<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.857<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.316<sup>NS</sup></td>
<td align="center" valign="middle">0.903<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.795<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.906<sup>&#x002A;&#x002A;</sup></td>
</tr>
<tr>
<td align="left" valign="middle">P<sub>2</sub>O<sub>5</sub></td>
<td align="center" valign="middle">0.568<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.516<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.377<sup>&#x002A;</sup></td>
<td align="center" valign="middle">0.554<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.041<sup>NS</sup></td>
<td align="center" valign="middle">0.514<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.495<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.641<sup>&#x002A;&#x002A;</sup></td>
</tr>
<tr>
<td align="left" valign="middle">K<sub>2</sub>O</td>
<td align="center" valign="middle">0.448<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.405<sup>&#x002A;</sup></td>
<td align="center" valign="middle">0.305<sup>NS</sup></td>
<td align="center" valign="middle">0.436<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">&#x2212;0.023<sup>NS</sup></td>
<td align="center" valign="middle">0.392<sup>&#x002A;</sup></td>
<td align="center" valign="middle">0.282<sup>NS</sup></td>
<td align="center" valign="middle">0.513<sup>&#x002A;&#x002A;</sup></td>
</tr>
<tr>
<td align="left" valign="middle">S</td>
<td align="center" valign="middle">0.875<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.795<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.747<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.783<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.317<sup>NS</sup></td>
<td align="center" valign="middle">0.855<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.755<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.888<sup>&#x002A;&#x002A;</sup></td>
</tr>
<tr>
<td align="left" valign="middle">Zn</td>
<td align="center" valign="middle">0.474<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.457<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.427<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.392<sup>&#x002A;</sup></td>
<td align="center" valign="middle">0.170<sup>NS</sup></td>
<td align="center" valign="middle">0.462<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.484<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.450<sup>&#x002A;&#x002A;</sup></td>
</tr>
<tr>
<td align="left" valign="middle">Cu</td>
<td align="center" valign="middle">0.477<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.508<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.312<sup>NS</sup></td>
<td align="center" valign="middle">0.411<sup>&#x002A;</sup></td>
<td align="center" valign="middle">0.022<sup>NS</sup></td>
<td align="center" valign="middle">0.429<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.372<sup>&#x002A;</sup></td>
<td align="center" valign="middle">0.459<sup>&#x002A;&#x002A;</sup></td>
</tr>
<tr>
<td align="left" valign="middle">Fe</td>
<td align="center" valign="middle">0.482<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.480<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.312<sup>NS</sup></td>
<td align="center" valign="middle">0.442<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">&#x2212;0.015<sup>NS</sup></td>
<td align="center" valign="middle">0.424<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.358<sup>&#x002A;</sup></td>
<td align="center" valign="middle">0.473<sup>&#x002A;&#x002A;</sup></td>
</tr>
<tr>
<td align="left" valign="middle">Mn</td>
<td align="center" valign="middle">0.506<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.492<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.323<sup>&#x002A;</sup></td>
<td align="center" valign="middle">0.474<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">&#x2212;0.006<sup>NS</sup></td>
<td align="center" valign="middle">0.448<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.358<sup>&#x002A;</sup></td>
<td align="center" valign="middle">0.505<sup>&#x002A;&#x002A;</sup></td>
</tr>
<tr>
<td align="left" valign="middle">BD</td>
<td align="center" valign="middle">&#x2212;0.263<sup>NS</sup></td>
<td align="center" valign="middle">&#x2212;0.123<sup>NS</sup></td>
<td align="center" valign="middle">&#x2212;0.187<sup>NS</sup></td>
<td align="center" valign="middle">&#x2212;0.340<sup>&#x002A;</sup></td>
<td align="center" valign="middle">0.118<sup>NS</sup></td>
<td align="center" valign="middle">&#x2212;0.204<sup>NS</sup></td>
<td align="center" valign="middle">0.210<sup>NS</sup></td>
<td align="center" valign="middle">&#x2212;0.276<sup>NS</sup></td>
</tr>
<tr>
<td align="left" valign="middle">WSA</td>
<td align="center" valign="middle">0.787<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.781<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.764<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.612<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.306<sup>NS</sup></td>
<td align="center" valign="middle">0.774<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.690<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.806<sup>&#x002A;&#x002A;</sup></td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn id="tfn1">
<label>a</label>
<p>pH, Potential of Hydrogen; EC, Electrical Conductivity; N, Nitrogen; P&#x2082;O&#x2085;, Available Phosphorus; K&#x2082;O, Available Potassium; S, Sulfur; Zn, Zinc; Cu, Copper; Fe, Iron; Mn, Manganese; BD, Bulk Density; WSA, Water-Stable Aggregates; OC, Organic Carbon; VL-C, Very Labile Carbon; L-C, Labile Carbon; LL-C, Less Labile Carbon; NL-C, Non-Labile Carbon; TOC, Total Organic Carbon; TOC Stock, Total Organic Carbon Stock; KMnO&#x2084;-C, Permanganate-Oxidizable Carbon.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<table-wrap position="float" id="tab6">
<label>Table 6</label>
<caption>
<p>Correlation matrix between soil health parameters and soil carbon pools (15&#x2013;30&#x202F;cm soil depth).</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top">Correlation matrix</th>
<th align="center" valign="top">OC</th>
<th align="center" valign="top">VL-C</th>
<th align="center" valign="top">L-C</th>
<th align="center" valign="top">LL-C</th>
<th align="center" valign="top">NL-C</th>
<th align="center" valign="top">TOC</th>
<th align="center" valign="top">TOC stock</th>
<th align="center" valign="top">KMnO<sub>4</sub>-C</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="middle">PH</td>
<td align="center" valign="middle">&#x2212;0.586<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">&#x2212;0.489<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">&#x2212;0.508<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">&#x2212;0.566<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">&#x2212;0.243<sup>NS</sup></td>
<td align="center" valign="middle">&#x2212;0.493<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">&#x2212;0.417<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">&#x2212;0.286<sup>NS</sup></td>
</tr>
<tr>
<td align="left" valign="middle">EC</td>
<td align="center" valign="middle">&#x2212;0.270<sup>NS</sup></td>
<td align="center" valign="middle">&#x2212;0.361<sup>&#x002A;</sup></td>
<td align="center" valign="middle">&#x2212;0.215<sup>NS</sup></td>
<td align="center" valign="middle">&#x2212;0.199<sup>NS</sup></td>
<td align="center" valign="middle">&#x2212;0.010<sup>NS</sup></td>
<td align="center" valign="middle">&#x2212;0.179<sup>NS</sup></td>
<td align="center" valign="middle">&#x2212;0.071<sup>NS</sup></td>
<td align="center" valign="middle">0.068<sup>NS</sup></td>
</tr>
<tr>
<td align="left" valign="middle">N</td>
<td align="center" valign="middle">0.863<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.764<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.801<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.778<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.569<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.826<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.814<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">&#x2212;0.109<sup>NS</sup></td>
</tr>
<tr>
<td align="left" valign="middle">P<sub>2</sub>O<sub>5</sub></td>
<td align="center" valign="middle">0.709<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.568<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.661<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.669<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.545<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.715<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.647<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.082<sup>NS</sup></td>
</tr>
<tr>
<td align="left" valign="middle">K<sub>2</sub>O</td>
<td align="center" valign="middle">0.512<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.442<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.470<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.471<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.215<sup>NS</sup></td>
<td align="center" valign="middle">0.432<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.411<sup>&#x002A;</sup></td>
<td align="center" valign="middle">0.132<sup>NS</sup></td>
</tr>
<tr>
<td align="left" valign="middle">S</td>
<td align="center" valign="middle">0.792<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.655<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.755<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.728<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.493<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.744<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.699<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.166<sup>NS</sup></td>
</tr>
<tr>
<td align="left" valign="middle">Zn</td>
<td align="center" valign="middle">0.479<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.484<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.360<sup>&#x002A;</sup></td>
<td align="center" valign="middle">0.450<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.191<sup>NS</sup></td>
<td align="center" valign="middle">0.399<sup>&#x002A;</sup></td>
<td align="center" valign="middle">0.276<sup>NS</sup></td>
<td align="center" valign="middle">0.074<sup>NS</sup></td>
</tr>
<tr>
<td align="left" valign="middle">Cu</td>
<td align="center" valign="middle">0.478<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.488<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.350<sup>&#x002A;</sup></td>
<td align="center" valign="middle">0.450<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.210<sup>NS</sup></td>
<td align="center" valign="middle">0.407<sup>&#x002A;</sup></td>
<td align="center" valign="middle">0.286<sup>NS</sup></td>
<td align="center" valign="middle">0.070<sup>NS</sup></td>
</tr>
<tr>
<td align="left" valign="middle">Fe</td>
<td align="center" valign="middle">0.540<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.548<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.419<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.498<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.227<sup>NS</sup></td>
<td align="center" valign="middle">0.455<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.333<sup>&#x002A;</sup></td>
<td align="center" valign="middle">0.103<sup>NS</sup></td>
</tr>
<tr>
<td align="left" valign="middle">Mn</td>
<td align="center" valign="middle">0.575<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.549<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.465<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.537<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.259<sup>NS</sup></td>
<td align="center" valign="middle">0.493<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.375<sup>&#x002A;</sup></td>
<td align="center" valign="middle">0.119<sup>NS</sup></td>
</tr>
<tr>
<td align="left" valign="middle">BD</td>
<td align="center" valign="middle">&#x2212;0.763<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">&#x2212;0.600<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">&#x2212;0.688<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">&#x2212;0.740<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">&#x2212;0.512<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">&#x2212;0.734<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">&#x2212;0.620<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">&#x2212;0.152<sup>NS</sup></td>
</tr>
<tr>
<td align="left" valign="middle">WSA</td>
<td align="center" valign="middle">0.708<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.568<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.631<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.683<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.519<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.701<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.578<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.139<sup>NS</sup></td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
</sec>
<sec id="sec17">
<label>4</label>
<title>Policy recommendation</title>
<p>The policy recommendations in this study focus on promoting diversified cropping systems, encouraging the use of organic inputs, and implementing precision agriculture for effective carbon management (<xref ref-type="fig" rid="fig4">Figure 4</xref>). These strategies directly support key Sustainable Development Goals (SDGs). Improving soil health through crop rotations and organic practices directly supports SDG 2 (Zero Hunger) by increasing yields and promoting sustainable food production. At the same time, SDG 13 (Climate Action) is addressed through reduced carbon footprints and enhanced carbon sequestration, contributing to climate change mitigation. Additionally, improved soil management practices that enhance biodiversity and promote sustainable land use align with SDG 15 (Life on Land), contributing to ecosystem resilience in sugarcane cultivation areas.</p>
<fig position="float" id="fig4">
<label>Figure 4</label>
<caption>
<p>Policy recommendations for sugarcane cultivation: linking sustainable practices to SDGs.</p>
</caption>
<graphic xlink:href="fsufs-09-1535741-g004.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">Flowchart illustrating strategies to implement precision agriculture for carbon management to achieve sustainable development goals (SDGs). Central elements include policy options, precision agriculture leverage, crop rotation promotion, and organic input usage. Connections highlight initiatives like advisory services, tech collaborations, organic farming incentives, and farmer training. The chart emphasizes benefits such as improved soil health, higher yields, reduced carbon footprints, and enhanced biodiversity. It aligns with SDG 2 (Zero Hunger), SDG 13 (Climate Action), and SDG 15 (Life on Land).</alt-text>
</graphic>
</fig>
</sec>
<sec sec-type="conclusions" id="sec18">
<label>5</label>
<title>Conclusion</title>
<p>This study offers valuable insights into the dynamics of SOC in sugarcane cultivation under the agroecological conditions of Bihar, India. The findings revealed that carbon fractions are more concentrated in the surface soil layer, indicating the strong influence of adaptive management practices on enhancing carbon sequestration in the topsoil. The observed patterns in TOC and labile carbon pools emphasize the importance of targeted soil depth-specific interventions for improving soil health. These results underscore the potential of diversified practices to improve SOC distribution and contribute to sustainable land management and climate mitigation strategies. Crop rotations involving cereals and legumes showed enhanced biological activity, increased active carbon pools, and improved nutrient availability compared to continuous sugarcane cultivation, emphasizing the benefits of diversified cropping systems for sustainable soil health. These findings highlight the importance of diversified cropping systems to improve carbon fractions, boost biological activity, and ensure sustainable soil health long term.</p>
</sec>
</body>
<back>
<sec sec-type="data-availability" id="sec19">
<title>Data availability statement</title>
<p>The original contributions presented in the study are included in the article/<xref rid="SM1" ref-type="supplementary-material">Supplementary material</xref>, further inquiries can be directed to the corresponding authors.</p>
</sec>
<sec sec-type="author-contributions" id="sec20">
<title>Author contributions</title>
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