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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Agron.</journal-id>
<journal-title-group>
<journal-title>Frontiers in Agronomy</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Agron.</abbrev-journal-title>
</journal-title-group>
<issn pub-type="epub">2673-3218</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
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<article-meta>
<article-id pub-id-type="doi">10.3389/fagro.2026.1768500</article-id>
<article-version article-version-type="Version of Record" vocab="NISO-RP-8-2008"/>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Original Research</subject>
</subj-group>
</article-categories>
<title-group>
<article-title>The quantum-enhanced agri-ledger: a simulation-based pathway to incentivized climate-smart agronomy</article-title>
</title-group>
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<contrib contrib-type="author">
<name><surname>Kumar</surname><given-names>A Harsha</given-names></name>
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<name><surname>Saran</surname><given-names>N</given-names></name>
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<name><surname>Kumaran</surname><given-names>K</given-names></name>
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<xref ref-type="corresp" rid="c001"><sup>*</sup></xref>
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<contrib contrib-type="author">
<name><surname>Saranya</surname><given-names>G</given-names></name>
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<contrib contrib-type="author">
<name><surname>Daniel</surname><given-names>Disha</given-names></name>
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<name><surname>Venkatram C</surname><given-names>Preetham</given-names></name>
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<name><surname>Potnuru</surname><given-names>Himeswar</given-names></name>
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<aff id="aff1"><label>1</label><institution>School of Computer Science and Engineering, Vellore Institute of Technology</institution>, <city>Chennai</city>,&#xa0;<country country="in">India</country></aff>
<aff id="aff2"><label>2</label><institution>School of Electronics Engineering, Vellore Institute of Technology</institution>, <city>Chennai</city>,&#xa0;<country country="in">India</country></aff>
<author-notes>
<corresp id="c001"><label>*</label>Correspondence: K Kumaran, <email xlink:href="mailto:kumaran.k@vit.ac.in">kumaran.k@vit.ac.in</email></corresp>
</author-notes>
<pub-date publication-format="electronic" date-type="pub" iso-8601-date="2026-03-04">
<day>04</day>
<month>03</month>
<year>2026</year>
</pub-date>
<pub-date publication-format="electronic" date-type="collection">
<year>2026</year>
</pub-date>
<volume>8</volume>
<elocation-id>1768500</elocation-id>
<history>
<date date-type="received">
<day>15</day>
<month>12</month>
<year>2025</year>
</date>
<date date-type="accepted">
<day>09</day>
<month>02</month>
<year>2026</year>
</date>
<date date-type="rev-recd">
<day>30</day>
<month>01</month>
<year>2026</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2026 Kumar, Saran, Kumaran, Saranya, Daniel, Venkatram C and Potnuru.</copyright-statement>
<copyright-year>2026</copyright-year>
<copyright-holder>Kumar, Saran, Kumaran, Saranya, Daniel, Venkatram C and Potnuru</copyright-holder>
<license>
<ali:license_ref start_date="2026-03-04">https://creativecommons.org/licenses/by/4.0/</ali:license_ref>
<license-p>This is an open-access article distributed under the terms of the <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">Creative Commons Attribution License (CC BY)</ext-link>. 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.</license-p>
</license>
</permissions>
<abstract>
<p>Global cropping systems face the dual challenge of increasing production for a growing population while adapting to climate instability. Current precision agriculture relies heavily on retrospective indicators, such as visual wilting or canopy reflectance, which are lagging signals that appear only after irreversible cellular damage has occurred. Furthermore, existing supply chains lack robust, decentralized mechanisms to verify and reward adherence to sustainable farming practices. Aligning with global objectives to facilitate advances in food systems that maximize production while minimizing waste and resource usage, this study presents the Quantum-Enhanced Agri-Ledger (QAL). A unified computational framework is proposed to help shift farm management from a reactive stance to a preemptive, data-driven paradigm. The potential of this system is assessed through a rigorous simulation study using a complex, multi-variable synthetic dataset representing agronomic stress scenarios. Three primary modeled components are integrated: (1) a theoretical high-sensitivity Quantum Dot Spectrometry Sensor (QDSS) model proposed for the in-field detection of stress-related Volatile Organic Compounds (VOCs); (2) a privacy-focused Federated Learning (FL) model that uses detailed sensor data to forecast crop health; and (3) a novel consensus mechanism, Proof-of-Sustainable-Practice (PoSP), designed to create an immutable record of sustainable intensification efforts. Within the constraints of the simulated environment, the full QAL model demonstrated a mean stress classification accuracy of 96.74% &#xb1; 0.38%. While these results incorporate modeled sensor noise and drift, they represent performance under controlled synthetic conditions; real-world operational accuracy may vary depending on physical sensor degradation and unforeseen environmental variability. Regarding yield forecasting, the model achieved a significantly lower Root Mean Square Error (RMSE) of 1.33 &#xb1; 0.19 tons/ha compared to standard baseline models. Furthermore, a robustness analysis indicates the model retains functional efficacy (<italic>&gt;</italic>90% accuracy) up to noise levels of <italic>&#x3c3;</italic> = 0.10, though performance degrades at higher noise thresholds (<italic>&#x3c3;</italic> = 0.20). A theoretical security analysis suggests the ledger&#x2019;s integrity against network attacks under the defined constraints. This study provides a simulation-based conceptual blueprint for transparent, incentive-oriented agronomic ecosystems. While the current validation is purely computational, it serves as a foundation for exploring pathways toward the UN SDGs 2, 12, and 15.</p>
</abstract>
<kwd-group>
<kwd>blockchain</kwd>
<kwd>climate-smart agronomy</kwd>
<kwd>federated learning</kwd>
<kwd>simulation study</kwd>
<kwd>sustainable intensification</kwd>
<kwd>UN SDGs</kwd>
<kwd>volatile organic compounds (VOCs)</kwd>
</kwd-group>
<funding-group>
<funding-statement>The author(s) declared that financial support was not received for this work and/or its publication.</funding-statement>
</funding-group>
<counts>
<fig-count count="10"/>
<table-count count="9"/>
<equation-count count="6"/>
<ref-count count="23"/>
<page-count count="15"/>
<word-count count="6815"/>
</counts>
<custom-meta-group>
<custom-meta>
<meta-name>section-at-acceptance</meta-name>
<meta-value>Climate-Smart Agronomy</meta-value>
</custom-meta>
</custom-meta-group>
</article-meta>
</front>
<body>
<sec id="s1" sec-type="intro">
<label>1</label>
<title>Introduction</title>
<p>Feeding a global population projected to reach 9.8 billion by 2050 requires a fundamental restructuring of agricultural production systems (<xref ref-type="bibr" rid="B10">Kraklow et&#xa0;al., 2025</xref>). This challenge is intensified by the increasing frequency of climate-induced stressors, such as drought and heat waves, which threaten the stability of global yield. As emphasized by the United Nations Sustainable Development Goals (SDGs), specifically SDG 2 (Zero Hunger) and SDG 12 (Responsible Consumption and Production), future cropping systems must achieve sustainable intensification by producing more with higher resource use efficiency. While concepts involving the Internet of Things (IoT) and smart tools for crop management are promising, a critical gap remains between theoretical potential and the capability to verify sustainable outcomes. This deficiency is most pronounced in the lack of sensors that can monitor crop physiology at the molecular level in real-time, and in the absence of secure systems to verify and reward sustainable on-farm behaviors.</p>
<p>Contemporary smart farming technologies mainly depend on sensors that track broad environmental factors like temperature (<italic>T</italic>), humidity (<italic>H</italic>), and major soil nutrients. These measurements often serve as lagging agronomic indicators; by the time a change is noticeable, the crop may have already suffered yield-limiting damage. However, plants rapidly alter Volatile Organic Compound (VOC) emissions in response to pests or environmental stress (<xref ref-type="bibr" rid="B2">Bergman et&#xa0;al., 2025</xref>). Detecting these chemical signals offers a valuable opportunity for preemptive agronomic intervention, allowing farmers to manage crop health proactively rather than reacting to damage.</p>
<p>To address this gap, a simulation-based computational framework for the Quantum-Enhanced AgriLedger (QAL) is proposed. This multi-layered design aims to explore new methods for agronomic management. To contribute to the computational modeling of sustainable food systems, this paper details the conceptual design and provides a thorough simulation-based assessment. It combines a physics-based simulation of a Quantum Dot Spectrometry Sensor (QDSS) with a privacy-preserving Federated Learning system to investigate the capabilities of this new model.</p>
<p>This proactive strategy is designed to support SDG 2 by enabling accurate yield predictions to stabilize food supplies. Additionally, optimizing chemical inputs supports SDG 12 (Responsible Production) by reducing waste, and SDG 15 (Life on Land) by preventing soil degradation and chemical runoff. This work proposes three main contributions to climate-smart agronomy:</p>
<list list-type="order">
<list-item>
<p>A Quantum Dot Spectrometry Sensor (QDSS) Model: A theoretical model is proposed for a field sensor array. This model simulates the response of specialized quantum dots, tuned to detect specific stress-related VOCs and soil micronutrients, generating high-resolution data with high sensitivity.</p></list-item>
<list-item>
<p>A Privacy-Preserving Federated Learning Architecture: A machine learning pipeline is developed to use this high-resolution data for predicting crop stress and yield. The Federated Stress-Phenotyping Model (FSPM) is trained using a Federated Learning (FL) structure to protect data sovereignty, allowing farmers to use a shared, improved model without exposing their private operational data.</p></list-item>
<list-item>
<p>A Computational Framework for Verifiable Sustainability: A concept termed Proof-of-Sustainable-Practice (PoSP) is explored through a mechanism called Dynamic Proof-of-Stake with Sustainability Slashing (dPoS-SS). This component is designed to investigate how simulated sensor data might be used to validate sustainable on-farm actions within an immutable ledger, offering a theoretical blueprint for incentive-based systems.</p></list-item>
</list>
<p>The paper is structured as follows: Section 2 reviews current technologies. Section 3 outlines the QAL framework and the QDSS model basis. Section 4 explains the core algorithms. Section 5 describes the simulation environment. Section 6 discusses the findings, and Section 7 summarizes the work and suggests future research directions.</p>
</sec>
<sec id="s2">
<label>2</label>
<title>Current agronomic technologies</title>
<p>The QAL framework combines advancements in sensing, distributed analysis, and decentralized verification. This review assesses the current state of these fields to identify the limitations that the QAL architecture aims to resolve. Comparisons are provided in <xref ref-type="table" rid="T1"><bold>Tables&#xa0;1</bold></xref>&#x2013;<xref ref-type="table" rid="T3"><bold>3</bold></xref>.</p>
<table-wrap id="T1" position="float">
<label>Table&#xa0;1</label>
<caption>
<p>Comparison of agricultural sensing technologies.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="top" align="left">Feature</th>
<th valign="top" align="left">Hyperspectral imaging<break/>(<xref ref-type="bibr" rid="B1">Ad&#xe3;o et&#xa0;al., 2017</xref>)</th>
<th valign="top" align="left">IoT environmental sensors<break/>(<xref ref-type="bibr" rid="B9">Khanna and Kaur, 2019</xref>)</th>
<th valign="top" align="left">E-Nose systems<break/>(<xref ref-type="bibr" rid="B23">Wilson, 2013</xref>)</th>
<th valign="top" align="left">QAL QDSS<break/>(Pro-posed)</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="middle" align="left">Timing</td>
<td valign="middle" align="left">Pre-visual/Early-stress</td>
<td valign="middle" align="left">Predictive/Real-time</td>
<td valign="middle" align="left">Limited Pre-symptom</td>
<td valign="middle" align="left">Pre-symptom detection</td>
</tr>
<tr>
<td valign="middle" align="left">Precision</td>
<td valign="middle" align="left">Spectral profiling</td>
<td valign="middle" align="left">Indirect indicators</td>
<td valign="middle" align="left">Low specificity</td>
<td valign="middle" align="left">Molecular fingerprinting</td>
</tr>
<tr>
<td valign="middle" align="left">Field Use</td>
<td valign="middle" align="left">UAV-based</td>
<td valign="middle" align="left">Stationary nodes</td>
<td valign="middle" align="left">Limited field use</td>
<td valign="middle" align="left">Low-cost, edge-ready</td>
</tr>
<tr>
<td valign="middle" align="left"><bold>Limitations</bold></td>
<td valign="middle" align="left"><bold>High cost, data complexity</bold></td>
<td valign="middle" align="left"><bold>Indirect correlation</bold></td>
<td valign="middle" align="left"><bold>Drift and interference</bold></td>
<td valign="middle" align="left"><bold>Simulated model only</bold></td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>Bold text emphasizes the primary limitations and comparative gaps of each evaluated approach.</p></fn>
</table-wrap-foot>
</table-wrap>
<table-wrap id="T2" position="float">
<label>Table&#xa0;2</label>
<caption>
<p>Comparison of AI systems in precision agriculture.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="top" align="left">Feature</th>
<th valign="top" align="left">Centralized deep learning<break/>(<xref ref-type="bibr" rid="B8">Kamilaris and Prenafeta-Bold&#xfa;, 2018</xref>)</th>
<th valign="top" align="left">Federated learning<break/>(<xref ref-type="bibr" rid="B14">McMahan et&#xa0;al., 2017</xref>)</th>
<th valign="top" align="left">Multi-modal networks<break/>(<xref ref-type="bibr" rid="B17">Pramela, 2025</xref>)</th>
<th valign="top" align="left">QAL FSPM<break/>(Pro-posed)</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="middle" align="left">Privacy</td>
<td valign="middle" align="left">High-risk</td>
<td valign="middle" align="left">Privacy-preserving</td>
<td valign="middle" align="left">Centralized risk</td>
<td valign="middle" align="left">Privacy-by-design</td>
</tr>
<tr>
<td valign="middle" align="left">Performance</td>
<td valign="middle" align="left">Data-limited</td>
<td valign="middle" align="left">Constrained by setting</td>
<td valign="middle" align="left">Proxy-data limited</td>
<td valign="middle" align="left"><bold>Simulated Potential:</bold> Superior accuracy</td>
</tr>
<tr>
<td valign="middle" align="left">Scalability</td>
<td valign="middle" align="left">Central infrastructure</td>
<td valign="middle" align="left">Distributed</td>
<td valign="middle" align="left">High compute demand</td>
<td valign="middle" align="left">Edge-optimized</td>
</tr>
<tr>
<td valign="middle" align="left"><bold>Limitations</bold></td>
<td valign="middle" align="left"><bold>High data &amp; annotation needs</bold></td>
<td valign="middle" align="left"><bold>Communication bottlenecks</bold></td>
<td valign="middle" align="left"><bold>Feature space overlaps</bold></td>
<td valign="middle" align="left"><bold>Dependent on theoretical sensor</bold></td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>Bold text emphasizes the primary limitations and comparative gaps of each evaluated approach.</p></fn>
</table-wrap-foot>
</table-wrap>
<table-wrap id="T3" position="float">
<label>Table&#xa0;3</label>
<caption>
<p>Comparison of agricultural verification blockchains.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="top" align="left">Feature</th>
<th valign="top" align="left">Supply chain traceability<break/>(<xref ref-type="bibr" rid="B7">Kamilaris et&#xa0;al., 2019</xref>)</th>
<th valign="top" align="left">Standard PoS<break/>Consensus (<xref ref-type="bibr" rid="B19">Saleh, 2021</xref>)</th>
<th valign="top" align="left">Standard&#x2003;PoW<break/>(<xref ref-type="bibr" rid="B3">De Vries, 2018</xref>)</th>
<th valign="top" align="left">QAL dPoS-SS<break/>(Proposed)</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="middle" align="left">Function</td>
<td valign="middle" align="left">Passive ledger</td>
<td valign="middle" align="left">Efficient consensus</td>
<td valign="middle" align="left">Secure but high energy</td>
<td valign="middle" align="left">Active incentive engine</td>
</tr>
<tr>
<td valign="middle" align="left">Trust</td>
<td valign="middle" align="left">Trust in data entry</td>
<td valign="middle" align="left">Stakeholder-dependent</td>
<td valign="middle" align="left">Trust in hash rate</td>
<td valign="middle" align="left">Sensor-integrated trust</td>
</tr>
<tr>
<td valign="middle" align="left">Incentive</td>
<td valign="middle" align="left">Fees</td>
<td valign="middle" align="left">Staking rewards</td>
<td valign="middle" align="left">Mining rewards</td>
<td valign="middle" align="left">Sustainability rewards</td>
</tr>
<tr>
<td valign="middle" align="left"><bold>Limitations</bold></td>
<td valign="middle" align="left"><bold>Vulnerable to bad data entry</bold></td>
<td valign="middle" align="left"><bold>Nothing-at-Stake risk</bold></td>
<td valign="middle" align="left"><bold>High energy cost</bold></td>
<td valign="middle" align="left"><bold>Conceptual, relies on sensor accuracy</bold></td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>Bold text emphasizes the primary limitations and comparative gaps of each evaluated approach.</p></fn>
</table-wrap-foot>
</table-wrap>
<sec id="s2_1">
<label>2.1</label>
<title>Sensing: moving to preemptive diagnostics</title>
<p>Modern precision agronomy depends on data. While IoT devices (<xref ref-type="bibr" rid="B9">Khanna and Kaur, 2019</xref>; <xref ref-type="bibr" rid="B4">Farooq et&#xa0;al., 2020</xref>) facilitate continuous monitoring and UAV-based hyperspectral sensors (<xref ref-type="bibr" rid="B1">Ad&#xe3;o et&#xa0;al., 2017</xref>) allow for detailed field mapping, they have limitations. As noted by <xref ref-type="bibr" rid="B13">Mahlein (2016)</xref>, conventional RGB and visual imaging techniques identify disease only after physical changes appear. As noted in Section 1, a primary limitation of conventional methods is the reliance on lagging indicators, where visual or environmental signals typically arrive only after stress has initiated. The opportunity for early action lies in detecting pre-symptomatic physiological changes. Electronic-nose technologies have been tested (<xref ref-type="bibr" rid="B23">Wilson, 2013</xref>; <xref ref-type="bibr" rid="B21">Wang et&#xa0;al., 2024</xref>), but they often lack the field-ready capability to distinguish specific stress signals within complex chemical mixtures, a challenge the proposed QDSS model seeks to address within the simulation. High humidity can interfere with sensor readings, and sensor drift, where the baseline reading shifts over time due to contamination or aging, is a major problem.</p>
<p>Recent work integrating UAV-mounted spectroscopy and FBG sensors (<xref ref-type="bibr" rid="B20">Sliti et&#xa0;al., 2025</xref>) proposed a framework to enhance forest monitoring by fusing strain metrics with spectral data. However, while they rely on hydraulic and spectral markers for early detection, this work targets volatile organic compounds (VOCs) to identify specific biochemical signatures. Additionally, recent work on reconfigurable holographic surfaces (<xref ref-type="bibr" rid="B11">Li et&#xa0;al., 2024</xref>) demonstrates that transceiver hardware impairments limit spectral efficiency. This limitation supports the QAL strategy of processing data at the Edge Layer, reducing reliance on raw data transmission that is susceptible to signal degradation.</p>
</sec>
<sec id="s2_2">
<label>2.2</label>
<title>Intelligence: from centralized to distributed</title>
<p>Deep learning has gained significant momentum in agriculture (<xref ref-type="bibr" rid="B8">Kamilaris and Prenafeta-Bold&#xfa;, 2018</xref>), but most deep learning models use centralized data, raising privacy concerns for farmers. Federated Learning (FL) (<xref ref-type="bibr" rid="B14">McMahan et&#xa0;al., 2017</xref>; <xref ref-type="bibr" rid="B22">Wen et&#xa0;al., 2023</xref>) addresses data privacy and accessibility challenges. However, AI performance depends on input data. A key limitation in current agricultural AI is data quality. Current advanced multi-modal networks, such as the DeepMMCropYNet proposed by <xref ref-type="bibr" rid="B17">Pramela (2025)</xref>, have achieved high accuracy by fusing static and temporal features. However, the authors note that the model remains limited by overlapping data across feature, temporal, and spatial dimensions, which makes it difficult to learn distinct crop patterns. The FSPM is designed to address this by combining the FL structure with modeled high-fidelity, biochemical input data that offers greater feature separability.</p>
</sec>
<sec id="s2_3">
<label>2.3</label>
<title>Verification: from passive records to incentives</title>
<p>Blockchain is often suggested for food traceability (<xref ref-type="bibr" rid="B7">Kamilaris et&#xa0;al., 2019</xref>; <xref ref-type="bibr" rid="B12">Lin et&#xa0;al., 2019</xref>). While moving from energy-heavy Proof-of-Work (PoW) (<xref ref-type="bibr" rid="B3">De Vries, 2018</xref>) to Proof-of-Stake (PoS) (<xref ref-type="bibr" rid="B19">Saleh, 2021</xref>) helps sustainability, the oracle problem remains (<xref ref-type="bibr" rid="B16">Pasdar et&#xa0;al., 2023</xref>): transferring real-world data onto the blockchain. Conventional systems often function as passive logs dependent on manual entry, which can be falsified. They record claims but cannot self-verify them. The dPoS-SS mechanism is designed to address this by integrating signed sensor data into the verification process, turning the ledger into an active verification tool.</p>
<p><xref ref-type="table" rid="T4"><bold>Table&#xa0;4</bold></xref> benchmarks the proposed system against current commercial platforms, highlighting the shift toward preemptive diagnostics.</p>
<table-wrap id="T4" position="float">
<label>Table&#xa0;4</label>
<caption>
<p>QAL vs. commercial agricultural platforms.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="top" align="left">Feature</th>
<th valign="top" align="left">Commercial UAV<break/>[e.g., DJI P4 (<xref ref-type="bibr" rid="B5">Grbovi&#x107; et&#xa0;al., 2025</xref>)]</th>
<th valign="top" align="left">Commercial IoT<break/>[e.g., Corp., Monnit (<xref ref-type="bibr" rid="B15">Monnit, 2021</xref>)]</th>
<th valign="top" align="left">Proposed QAL framework</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">Detection Basis</td>
<td valign="top" align="left">Reflectance (NDVI)</td>
<td valign="top" align="left">Moisture/Resistive</td>
<td valign="top" align="left">Biochemicals (VOCs)</td>
</tr>
<tr>
<td valign="top" align="left">Timing</td>
<td valign="top" align="left">Reactive</td>
<td valign="top" align="left">Reactive</td>
<td valign="top" align="left">Preemptive</td>
</tr>
<tr>
<td valign="top" align="left">Ownership</td>
<td valign="top" align="left">Public Repository</td>
<td valign="top" align="left">Centralized Cloud</td>
<td valign="top" align="left">Federated (On-premise)</td>
</tr>
<tr>
<td valign="top" align="left">Verification</td>
<td valign="top" align="left">Ground-Truthing</td>
<td valign="top" align="left">None</td>
<td valign="top" align="left">Blockchain Consensus</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
</sec>
<sec id="s3">
<label>3</label>
<title>System architecture</title>
<p>To address the limitations in preemptive sensing and decentralized verification identified in the literature, the QAL framework models the integration of molecular diagnostics with a blockchain-based ledger. It is a decentralized system designed to connect field data with a transparent digital ecosystem. The four-layer structure is shown in <xref ref-type="fig" rid="f1"><bold>Figure&#xa0;1</bold></xref>. The specific operations are defined mathematically: sensing follows a modified Stern-Volmer
model (<xref ref-type="disp-formula" rid="eq1">Equation 1</xref>), decision logic uses Federated
Learning (<xref ref-type="boxed-text" rid="algo2"><bold>Algorithm 2</bold></xref>), and verification uses dPoS-SS Consensus (<xref ref-type="boxed-text" rid="algo3"><bold>Algorithm 3</bold></xref>).</p>
<fig id="f1" position="float">
<label>Figure&#xa0;1</label>
<caption>
<p>The QAL four-layer architecture. Data flows from physical sensing (Perception) through privacy-preserving local processing (Edge) and cloud-based aggregation (Platform) to the immutable ledger (Blockchain). This hierarchical design ensures that raw soil data is processed locally, while only verified, non-sensitive insights are cryptographically transformed into digital assets on the ledger.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fagro-08-1768500-g001.tif">
<alt-text content-type="machine-generated">Diagram illustrating a four-layer architecture for a federated learning and blockchain system, including Perception, Edge, Platform, and Blockchain layers, with data flow, privacy, processing, verification, incentives, smart contracts, validators, and integration of external oracle services.</alt-text>
</graphic></fig>
<sec id="s3_1">
<label>3.1</label>
<title>Perception layer</title>
<p>This layer handles in-field data collection. In the proposed physical architecture, it consists of autonomous, low-power IoT nodes that monitor crop health. A key part is the QDSS Array, designed to detect specific VOCs and soil nutrients. This creates a spectral fingerprint of plant stress for early detection. The nodes also use standard sensors for soil moisture, temperature, humidity, and macronutrients (NPK) to provide environmental context. To ensure data authenticity, each node is embedded with a unique cryptographic key pair for hardware-level digital signing of all transmitted data.</p>
</sec>
<sec id="s3_2">
<label>3.2</label>
<title>Edge layer</title>
<p>The Edge Layer is the on-farm computational hub. It connects sensors to the cloud, handling real-time preprocessing and privacy. The Edge Gateway Device gathers data from the Perception Layer. By processing raw data into a refined, compressed, and encrypted format locally, it reduces bandwidth usage. Crucially, this device runs the local FL client, keeping raw farm data on-site.</p>
</sec>
<sec id="s3_3">
<label>3.3</label>
<title>Platform layer</title>
<p>The Platform Layer is the cloud backend for analysis. The FL Server manages the learning process. It sends a global model to Edge Gateways and collects only model updates (not raw data) to improve the global system. External Oracle Services provide independent data, like weather reports, to validate blockchain claims. To prevent manipulation, data is aggregated from multiple independent providers before being finalized on the ledger.</p>
</sec>
<sec id="s3_4">
<label>3.4</label>
<title>Blockchain layer</title>
<p>While the QDSS provides the granular data necessary for detection, and FL preserves privacy, a trust mechanism is required to ensure that this self-reported data is not spoofed for financial gain. To address this, the Blockchain Layer acts as the immutable backbone of the QAL framework. It uses the PoSP consensus mechanism (dPoS-SS) to record verified sustainable actions. These actions trigger Smart Contracts that issue rewards upon validation. Validators verify claims by comparing farm data against trusted oracle data, using a voting process designed to maximize Byzantine Fault Tolerance (BFT) while minimizing computational overhead.</p>
</sec>
<sec id="s3_5">
<label>3.5</label>
<title>The quantum dot spectrometry sensor model</title>
<p>The central sensing tool is the QDSS. For this study, the QDSS is a theoretical model based on the physical properties of quantum dots, validated through simulation rather than physical prototyping.</p>
<p>A quantum dot (QD) is a semiconductor nanocrystal with properties governed by quantum confinement. This allows the dot&#x2019;s color to be tuned by changing its size, creating an array where each sensor targets different spectral lines. The sensor operates via fluorescence quenching, as illustrated in <xref ref-type="fig" rid="f2"><bold>Figure&#xa0;2</bold></xref>. QDs have a baseline glow. When target molecules (VOCs) bind to them, energy is diverted, dimming the glow. This quenching effect is proportional to the target molecule&#x2019;s concentration.</p>
<fig id="f2" position="float">
<label>Figure&#xa0;2</label>
<caption>
<p>The QDSS working principle. (1) A stressed plant emits specific VOCs. (2) These VOCs bind to the surface of the quantum dots. (3) The binding process absorbs energy, causing the fluorescence to &#x2018;quench&#x2019; (dim). (4) The resulting spectral fingerprint allows the system to chemically differentiate between abiotic (e.g., drought) and biotic (e.g., pests) stresses long before visual symptoms appear.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fagro-08-1768500-g002.tif">
<alt-text content-type="machine-generated">Four-panel diagram illustrates plant VOC detection: Panel one shows a leaf emitting dotted lines labeled 'VOC emission.' Panel two depicts geometric shapes binding to circles, labeled 'selective binding.' Panel three displays circles containing shapes with reduced shading, labeled 'fluorescence quenching.' Panel four features a computer monitor with a spectral graph, labeled 'spectral fingerprint analysis.'</alt-text>
</graphic></fig>
<p>This study uses a theoretical sensor model based on the established properties of quantum dots found in literature, acknowledging that physical implementation would face additional complexities not fully captured in a synthetic environment. Sol-gel encapsulation of polymer-coated ZnS/CdSe quantum dots has detected organic vapors (<xref ref-type="bibr" rid="B6">Hasani et&#xa0;al., 2010</xref>), and CdSe/ZnS crystals have detected phenolic compounds (<xref ref-type="bibr" rid="B18">Rahman et&#xa0;al., 2020</xref>).</p>
<p>The quenching effect is modeled using a modified Stern-Volmer equation (<xref ref-type="disp-formula" rid="eq1">Equation 1</xref>). This generates a spectral fingerprint from a mixture of analytes ([<italic>Q<sub>i</sub></italic>]).</p>
<disp-formula id="eq1"><label>(1)</label>
<mml:math display="block" id="M1"><mml:mrow><mml:mfrac><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mn>0</mml:mn></mml:msub></mml:mrow><mml:mi>F</mml:mi></mml:mfrac><mml:mo>=</mml:mo><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:mn>1</mml:mn><mml:mo>+</mml:mo><mml:munderover><mml:mo>&#x2211;</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn>1</mml:mn></mml:mrow><mml:mi>N</mml:mi></mml:munderover><mml:msub><mml:mi>K</mml:mi><mml:mrow><mml:mi>S</mml:mi><mml:mi>V</mml:mi><mml:mo>,</mml:mo><mml:mi>i</mml:mi></mml:mrow></mml:msub><mml:mrow><mml:mo stretchy="false">[</mml:mo><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow><mml:mo stretchy="false">]</mml:mo></mml:mrow></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:math>
</disp-formula>
<p>Limitations of this model must be noted. While the standard Stern-Volmer equation predicts a linear response, real-world sensor arrays exhibit saturation at high analyte concentrations. To account for this, the simulation introduces a hyperbolic tangent nonlinearity (<xref ref-type="disp-formula" rid="eq8">Equation 8</xref>) to rigorously stress-test the FSPM&#x2019;s ability to disentangle complex, saturated VOC signals. Creating a physical QDSS faces challenges such as stability in UV light and interference from humidity. The simulation assumes ideal encapsulation but introduces noise to model these physical imperfections.</p>
<p><xref ref-type="table" rid="T5"><bold>Table&#xa0;5</bold></xref> lists the proposed array composition. While this selection lists the 8 primary quantum dot materials selected for their specific affinity to stress markers, the full sensor model generates a high-dimensional feature vector. This is achieved by hyperspectral sampling, where each of the 8 dots is sampled across 12 discrete spectral sub-bands to capture subtle shifts in fluorescence, resulting in a total feature vector of 96 dimensions.</p>
<table-wrap id="T5" position="float">
<label>Table&#xa0;5</label>
<caption>
<p>Proposed QDSS array composition and targets.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" align="left">QD type</th>
<th valign="middle" align="left">Core/Shell</th>
<th valign="middle" align="left">Target (VOC)</th>
<th valign="middle" align="left">Stressor</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="middle" align="left">Dot A</td>
<td valign="middle" align="left">CdSe/ZnS</td>
<td valign="middle" align="left">Jasmonic Acid</td>
<td valign="middle" align="left">Pests</td>
</tr>
<tr>
<td valign="middle" align="left">Dot B</td>
<td valign="middle" align="left">InP/ZnS</td>
<td valign="middle" align="left">Salicylic Acid</td>
<td valign="middle" align="left">Pathogen</td>
</tr>
<tr>
<td valign="middle" align="left">Dot C</td>
<td valign="middle" align="left">Graphene QD</td>
<td valign="middle" align="left"><italic>&#x3b2;</italic>-caryophyllene</td>
<td valign="middle" align="left">Drought</td>
</tr>
<tr>
<td valign="middle" align="left">Dot D</td>
<td valign="middle" align="left">Carbon Dot</td>
<td valign="middle" align="left">Ethylene</td>
<td valign="middle" align="left">Ripening/Stress</td>
</tr>
<tr>
<td valign="middle" align="left">Dot E</td>
<td valign="middle" align="left">ZnSe QD</td>
<td valign="middle" align="left">Zn<sup>2+</sup> ions</td>
<td valign="middle" align="left">Micronutrient</td>
</tr>
<tr>
<td valign="middle" align="left">Dot F</td>
<td valign="middle" align="left">CdTe/CdS</td>
<td valign="middle" align="left">Abscisic Acid</td>
<td valign="middle" align="left">Drought</td>
</tr>
<tr>
<td valign="middle" align="left">Dot G</td>
<td valign="middle" align="left">Si QD</td>
<td valign="middle" align="left">Methyl Salicylate</td>
<td valign="middle" align="left">Resistance</td>
</tr>
<tr>
<td valign="middle" align="left">Dot H</td>
<td valign="middle" align="left">AgInS<sub>2</sub>/ZnS</td>
<td valign="middle" align="left">Fe<sup>3+</sup> ions</td>
<td valign="middle" align="left">Micronutrient</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>Theoretical arrays allow for the simulation of unique spectral fingerprints for VOC mixtures, as shown in <xref ref-type="fig" rid="f3"><bold>Figure&#xa0;3</bold></xref>.</p>
<fig id="f3" position="float">
<label>Figure&#xa0;3</label>
<caption>
<p>Simulated spectral fingerprint. The green solid line represents the baseline emission of a healthy crop, while the red dashed line shows the &#x2018;quenched&#x2019; signal indicating stress. The significant magnitude of this intensity shift provides a high signal-to-noise ratio, ensuring that the FSPM can accurately detect stress signatures even in the presence of environmental interference.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fagro-08-1768500-g003.tif">
<alt-text content-type="machine-generated">Line graph comparing normalized fluorescence intensity versus emission wavelength for healthy and drought-stressed plants. Healthy plants show a single sharp peak near 510 nanometers, while stressed plants have lower peaks at 510 nanometers and 650 nanometers.</alt-text>
</graphic></fig>
</sec>
</sec>
<sec id="s4">
<label>4</label>
<title>Methodology</title>
<p>Having defined the theoretical mechanism for signal generation, the computational pipeline for processing these signals is now detailed.</p>
<sec id="s4_1">
<label>4.1</label>
<title>Data acquisition and calibration</title>
<p>In the proposed physical architecture, raw data is processed into a clean format using <xref ref-type="boxed-text" rid="algo1"><bold>Algorithm 1</bold></xref> to handle outliers and drift. However, for this simulation study, this explicit calibration step was bypassed to rigorously stress-test the FSPM&#x2019;s ability to learn directly from raw, noisy, simulated sensor data. To mitigate drift, a dynamic baseline is kept using an Exponentially Weighted Moving Average (EWMA), as shown in <xref ref-type="disp-formula" rid="eq2">Equation 2</xref>. This protects the baseline from spikes.</p>
<disp-formula id="eq2"><label>(2)</label>
<mml:math display="block" id="M2"><mml:mrow><mml:msub><mml:mi>B</mml:mi><mml:mi>t</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mi>&#x3b1;</mml:mi><mml:msub><mml:mi>S</mml:mi><mml:mrow><mml:mi>v</mml:mi><mml:mi>a</mml:mi><mml:mi>l</mml:mi><mml:mi>i</mml:mi><mml:mi>d</mml:mi><mml:mo>,</mml:mo><mml:mi>t</mml:mi></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mn>1</mml:mn><mml:mo>&#x2212;</mml:mo><mml:mi>&#x3b1;</mml:mi></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:msub><mml:mi>B</mml:mi><mml:mrow><mml:mi>t</mml:mi><mml:mo>&#x2212;</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>
</disp-formula>
<boxed-text id="algo1" position="float">
<label>Algorithm 1</label>
<caption>
<title>QDSS data calibration.</title></caption>
<p>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fagro-08-1768500-g011.tif">
</graphic></p>
</boxed-text>
</sec>
<sec id="s4_2">
<label>4.2</label>
<title>Federated stress-phenotyping model</title>
<p>The FSPM provides predictive capability, trained via FL to ensure privacy (<xref ref-type="boxed-text" rid="algo2"><bold>Algorithm 2</bold></xref>). In this protocol, <italic>K</italic> represents the total number of clients, and <italic>C</italic> represents the fraction of clients selected per round. It uses a feed-forward neural network with two hidden layers, Batch Normalization, and Dropout. A composite loss function (<xref ref-type="disp-formula" rid="eq3">Equation 3</xref>) balances yield prediction and stress classification using a weight term, <italic>&#x3bb;<sub>t</sub></italic>. Weights (<italic>W</italic>) are adjusted during local training using Adam optimization, with regularization enforced via the network&#x2019;s Dropout layers (<italic>p</italic> = 0.5). <italic>&#x3bb;<sub>t</sub></italic> was set to 0.5 for equal task importance.</p>
<disp-formula id="eq3"><label>(3)</label>
<mml:math display="block" id="M3"><mml:mrow><mml:msub><mml:mi>&#x2112;</mml:mi><mml:mrow><mml:mi>t</mml:mi><mml:mi>o</mml:mi><mml:mi>t</mml:mi><mml:mi>a</mml:mi><mml:mi>l</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>&#x3bb;</mml:mi><mml:mi>t</mml:mi></mml:msub><mml:msub><mml:mi>&#x2112;</mml:mi><mml:mrow><mml:mi>y</mml:mi><mml:mi>i</mml:mi><mml:mi>e</mml:mi><mml:mi>l</mml:mi><mml:mi>d</mml:mi></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mn>1</mml:mn><mml:mo>&#x2212;</mml:mo><mml:msub><mml:mi>&#x3bb;</mml:mi><mml:mi>t</mml:mi></mml:msub></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:msub><mml:mi>&#x2112;</mml:mi><mml:mrow><mml:mi>s</mml:mi><mml:mi>t</mml:mi><mml:mi>r</mml:mi><mml:mi>e</mml:mi><mml:mi>s</mml:mi><mml:mi>s</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math>
</disp-formula>
<boxed-text id="algo2" position="float">
<label>Algorithm 2</label>
<caption>
<title>Federated learning for yield prediction.</title></caption>
<p>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fagro-08-1768500-g012.tif">
</graphic></p>
</boxed-text>
</sec>
<sec id="s4_3">
<label>4.3</label>
<title>Dynamic proof-of-stake with sustainability slashing</title>
<p>The dPoS-SS consensus mechanism verifies and rewards sustainable actions (<xref ref-type="boxed-text" rid="algo3"><bold>Algorithm 3</bold></xref>).</p>
<boxed-text id="algo3" position="float">
<label>Algorithm 3</label>
<caption>
<title>dPoS-SS consensus mechanism.</title></caption>
<p>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fagro-08-1768500-g013.tif">
</graphic></p>
</boxed-text>
<sec id="s4_3_1">
<label>4.3.1</label>
<title>Theoretical security bounds</title>
<p>The security model relies on the Byzantine Fault Tolerance (BFT) threshold. For the consensus to maintain safety (prevention of invalid block finalization), the system requires that the malicious stake <italic>f</italic> does not satisfy the supermajority condition required for finality. Mathematically, the ledger maintains safety integrity (prevention of invalid block finalization) provided that the malicious stake remains below <inline-formula>
<mml:math display="inline" id="im8"><mml:mrow><mml:mfrac><mml:mn>2</mml:mn><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:mfrac></mml:mrow></mml:math></inline-formula>. However, network liveness (continuous operation) is sensitive to a lower threshold; if adversarial actors control more than <inline-formula>
<mml:math display="inline" id="im9"><mml:mrow><mml:mfrac><mml:mn>1</mml:mn><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:mfrac></mml:mrow></mml:math></inline-formula> of the stake, they can stall the consensus process. The simulation (<xref ref-type="fig" rid="f4"><bold>Figure&#xa0;4</bold></xref>) visualizes these distinct failure modes: while the system may halt (orange zone) at <inline-formula>
<mml:math display="inline" id="im10"><mml:mrow><mml:mfrac><mml:mn>1</mml:mn><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:mfrac></mml:mrow></mml:math></inline-formula> malicious stake, it guarantees safety against history rewriting (red zone) up to the theoretical Byzantine fault tolerance limit of <inline-formula>
<mml:math display="inline" id="im11"><mml:mrow><mml:mfrac><mml:mn>2</mml:mn><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:mfrac></mml:mrow></mml:math></inline-formula>. These safety zones are visualized in the results to define the operational limits of the system.</p>
<fig id="f4" position="float">
<label>Figure&#xa0;4</label>
<caption>
<p>Theoretical consensus mechanism stability analysis. The plot delineates the distinct failure modes of the dPoS-SS ledger. The Secure Zone (Green) represents operational stability. The Stalled Zone (Orange, 1<italic>/</italic>3&lt; Stake&lt; 2<italic>/</italic>3) represents a Liveness failure where consensus halts to preserve ledger integrity, preventing the finalization of invalid blocks. The Unsafe Zone (Red, <italic>&gt;</italic> 2<italic>/</italic>3) represents the theoretical Byzantine fault tolerance limit where ledger history can be rewritten.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fagro-08-1768500-g004.tif">
<alt-text content-type="machine-generated">Line chart illustrating system integrity score versus ratio of malicious validators. Safety integrity remains high until a critical safety failure at over sixty-seven percent stake. Liveness fails at over thirty-three percent stake. The background is divided into secure, stalled, and unsafe zones, with clear labels, arrows, and color-coded legend explaining zones and plotted lines.</alt-text>
</graphic></fig>
<p>A farmer submits a transaction <inline-formula>
<mml:math display="inline" id="im12"><mml:mi mathvariant="script">T</mml:mi></mml:math></inline-formula> with a signed node ID, <italic>N<sub>f</sub></italic>. If rejected, or if a validator votes against the majority, assets can be penalized, discouraging detrimental behavior. The validation function &#x2131;<italic><sub>validate</sub></italic> (<xref ref-type="disp-formula" rid="eq5">Equation 5</xref>) checks correlation between on-chain and oracle data. Validator trust scores adjust after each vote (<xref ref-type="disp-formula" rid="eq4">Equation 4</xref>).</p>
<disp-formula id="eq4"><label>(4)</label>
<mml:math display="block" id="M4"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mrow><mml:mi>v</mml:mi><mml:mo>,</mml:mo><mml:mi>t</mml:mi><mml:mo>+</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mn>1</mml:mn><mml:mo>&#x2212;</mml:mo><mml:mi>&#x3b3;</mml:mi></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mrow><mml:mi>v</mml:mi><mml:mo>,</mml:mo><mml:mi>t</mml:mi></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:mi>&#x3b3;</mml:mi><mml:msub><mml:mi>A</mml:mi><mml:mi>v</mml:mi></mml:msub></mml:mrow></mml:math>
</disp-formula>
<disp-formula id="eq5"><label>(5)</label>
<mml:math display="block" id="M5"><mml:mrow><mml:msub><mml:mi>&#x2131;</mml:mi><mml:mrow><mml:mi>v</mml:mi><mml:mi>a</mml:mi><mml:mi>l</mml:mi><mml:mi>i</mml:mi><mml:mi>d</mml:mi><mml:mi>a</mml:mi><mml:mi>t</mml:mi><mml:mi>e</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mo stretchy="false">(</mml:mo><mml:mi>&#x3b4;</mml:mi><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:msub><mml:mi mathvariant="script">D</mml:mi><mml:mrow><mml:mi>c</mml:mi><mml:mi>h</mml:mi><mml:mi>a</mml:mi><mml:mi>i</mml:mi><mml:mi>n</mml:mi></mml:mrow></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi mathvariant="script">D</mml:mi><mml:mrow><mml:mi>o</mml:mi><mml:mi>r</mml:mi><mml:mi>a</mml:mi><mml:mi>c</mml:mi><mml:mi>l</mml:mi><mml:mi>e</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mo>&lt;</mml:mo><mml:mi>&#x3f5;</mml:mi><mml:mo stretchy="false">)</mml:mo><mml:mo>&#x2227;</mml:mo><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mtext>VerifySignature</mml:mtext><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mi>f</mml:mi></mml:msub></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:math>
</disp-formula>
<p>Distance <italic>&#x3b4;</italic> depends on data type (e.g., MSE for time-series). Consensus uses a trust-weighted majority.</p>
</sec>
</sec>
<sec id="s4_4">
<label>4.4</label>
<title>Decision support algorithms</title>
<p>The following algorithms conceptualize the decision-support logic used by the QAL framework to process the simulated data streams.</p>
<p>Anomaly Detection <xref ref-type="boxed-text" rid="algo4"><bold>Algorithm 4</bold></xref> outlines the logic for the proposed early warning system, which is designed to calculate a Mahalanobis distance anomaly score. It triggers an alert only if the score stays high for a set window.</p>
<boxed-text id="algo4" position="float">
<label>Algorithm 4</label>
<caption>
<title>Anomaly detection with persistence.</title></caption>
<p>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fagro-08-1768500-g014.tif">
</graphic></p>
</boxed-text>
<p>Nutrient Recommendation <xref ref-type="boxed-text" rid="algo5"><bold>Algorithm 5</bold></xref> calculates a fertilizer blend to fix deficiencies without causing secondary imbalances, using weather data to avoid runoff. For the purpose of the simulation study, this algorithm was instantiated with a linear nitrogen depletion rate of 1.2 kg/ha/day and a critical stress threshold of 50 kg/ha, triggering intervention when deficiency probability exceeds 50%.</p>
<boxed-text id="algo5" position="float">
<label>Algorithm 5</label>
<caption>
<title>Dynamic nutrient recommendation.</title></caption>
<p>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fagro-08-1768500-g015.tif">
</graphic></p>
</boxed-text>
<p>Adaptive Thresholding <xref ref-type="boxed-text" rid="algo6"><bold>Algorithm 6</bold></xref> presents the theoretical logic for adaptive thresholding envisioned for the physical Edge Layer. While the simulation in this study strictly evaluates the FSPM (as detailed in Section 6), this algorithmic concept is proposed to address the requirement for standalone operation during potential network interruptions in real-world deployment.</p>
<boxed-text id="algo6" position="float">
<label>Algorithm 6</label>
<caption>
<title>Adaptive anomaly thresholding.</title></caption>
<p>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fagro-08-1768500-g016.tif">
</graphic></p>
</boxed-text>
</sec>
</sec>
<sec id="s5">
<label>5</label>
<title>Experimental setup</title>
<p>The simulation was built using Python 3.9, using the PyTorch library for the neural network components and numerical analysis for the consensus validation. Recognizing that real-world agricultural environments are characterized by high variability and environmental noise, the data generation process included significant noise and irregularity. This ensured the model was evaluated against realistic challenges rather than idealized conditions.</p>
<sec id="s5_1">
<label>5.1</label>
<title>Synthetic data generation with simulated environmental stochasticity</title>
<p>A dataset of 20,000 data points was generated to model a growing season. To simulate the complexity of real-world sensing, a custom stochastic environmental noise function was applied to all sensor readings. This function introduces three types of errors common in field sensors:</p>
<list list-type="bullet">
<list-item>
<p>Drift: A gradual shift in the sensor&#x2019;s baseline reading over time, simulating contamination or sensor aging.</p></list-item>
<list-item>
<p>Interference: Periodic fluctuations to model environmental factors like humidity cycles or nearby machinery.</p></list-item>
<list-item>
<p>Spikes: Sudden, random jumps in data values, simulating electronic transients or temporary obstructions.</p></list-item>
</list>
<sec id="s5_1_1">
<label>5.1.1</label>
<title>Simulating crop stress and QDSS signals</title>
<p>Stress events (Drought, Pest, Nutrient Deficiency) were introduced randomly using a probability distribution. When a plant is subjected to stress in the simulation, it emits specific signals. The QDSS sensor response <italic>S<sub>i</sub></italic>(<italic>t</italic>) for each of the 96 spectral bands was modeled using <xref ref-type="disp-formula" rid="eq8">Equation 8</xref>. As defined in <xref ref-type="table" rid="T5"><bold>Table&#xa0;5</bold></xref>, the 8 specific quantum dots form the physical basis of the array, while these 96 bands represent the hyperspectral data generated via temporal sampling. While the theoretical sensor response follows the linear Stern-Volmer relationship (<xref ref-type="disp-formula" rid="eq1">Equation 1</xref>), real-world sensors exhibit saturation at high concentrations. Therefore, the proposed simulation adapts this by using a hyperbolic tangent (tanh) function to strictly model these non-linear physical constraints:</p>
<disp-formula id="eq8"><label>(8)</label>
<mml:math display="block" id="M8"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mi>t</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mo>=</mml:mo><mml:mtext>tanh</mml:mtext><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:msub><mml:mi>&#x212c;</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:mi mathvariant="script">G</mml:mi><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi>c</mml:mi><mml:mo>,</mml:mo><mml:msub><mml:mi>d</mml:mi><mml:mi>t</mml:mi></mml:msub></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="script">V</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi>c</mml:mi><mml:mo>,</mml:mo><mml:msub><mml:mi>d</mml:mi><mml:mi>t</mml:mi></mml:msub></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="script">N</mml:mi><mml:mrow><mml:mi>c</mml:mi><mml:mi>o</mml:mi><mml:mi>m</mml:mi><mml:mi>p</mml:mi><mml:mi>l</mml:mi><mml:mi>e</mml:mi><mml:mi>x</mml:mi></mml:mrow></mml:msub><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi>&#x3c3;</mml:mi><mml:mo>,</mml:mo><mml:mi>t</mml:mi></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:math>
</disp-formula>
<p>where <italic>c</italic> is the stress class and <italic>d<sub>t</sub></italic> is the duration of the stress.</p>
<p>Ground-truth yield (tons/ha) was calculated based on a theoretical maximum, which was reduced (penalized) whenever stress occurred. It is important to note that while this simulation framework is methodologically cropagnostic, real-world deployment would require retraining the model on species-specific spectral data.</p>
</sec>
</sec>
<sec id="s5_2">
<label>5.2</label>
<title>Federated learning configuration</title>
<p>To simulate a decentralized network, the data was partitioned among 20 simulated clients (farms). The data was split so that 80% was used for training and 20% for testing. To reflect the privacy-preserving nature of the system, each client trained the model locally on its own data partition for 5 epochs before sending only the weight updates to the central server.</p>
<p>Clients processed time-series data to generate temporal features, expanding the 96 spectral bands and conventional sensors into a high-dimensional feature vector. As detailed in <xref ref-type="table" rid="T6"><bold>Table&#xa0;6</bold></xref>, statistical moments (mean and standard deviation) were calculated across multiple rolling windows for every sensor channel to capture temporal dynamics.</p>
<table-wrap id="T6" position="float">
<label>Table&#xa0;6</label>
<caption>
<p>Client-side feature engineering.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" align="left">Feature type</th>
<th valign="middle" align="left">Parameters</th>
<th valign="middle" align="left">Applied to</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="middle" align="left">Rolling Mean</td>
<td valign="middle" align="left">Windows: 6, 12, 24h</td>
<td valign="middle" align="left">All Channels (QDSS + Env)</td>
</tr>
<tr>
<td valign="middle" align="left">Rolling Std Dev</td>
<td valign="middle" align="left">Windows: 6, 12, 24h</td>
<td valign="middle" align="left">All Channels (QDSS + Env)</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="s5_3">
<label>5.3</label>
<title>Model architecture and hyperparameters</title>
<p>The FSPM is a feed-forward neural network designed for efficiency on edge devices. It consists of two hidden layers with Batch Normalization (to stabilize learning) and Dropout (to prevent the model from memorizing the data). The hyperparameters, listed in <xref ref-type="table" rid="T7"><bold>Table&#xa0;7</bold></xref>, were optimized to balance learning speed and accuracy.</p>
<table-wrap id="T7" position="float">
<label>Table&#xa0;7</label>
<caption>
<p>Hyperparameter search space and selection.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" align="left">Hyperparameter</th>
<th valign="middle" align="left">Range/Value</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="middle" align="left">Learning Rate</td>
<td valign="middle" align="left">3.7 &#xd7; 10<sup>&#x2212;4</sup></td>
</tr>
<tr>
<td valign="middle" align="left">Dropout Rate</td>
<td valign="middle" align="left">0.50 (High regularization)</td>
</tr>
<tr>
<td valign="middle" align="left">Layer 1 Neurons</td>
<td valign="middle" align="left">196</td>
</tr>
<tr>
<td valign="middle" align="left">Layer 2 Neurons</td>
<td valign="middle" align="left">115</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>The simulation was repeated 10 independent times with different random seeds to ensuring that results were consistent and reproducible.</p>
</sec>
<sec id="s5_4">
<label>5.4</label>
<title>Evaluation scenarios</title>
<p>The following evaluation scenarios and methodological constraints were defined to validate the system:</p>
<sec id="s5_4_1">
<label>5.4.1</label>
<title>Ablation study</title>
<p>The system&#x2019;s performance using only conventional sensors (thermometer/hygrometer) was compared versus using the full system with the QDSS. This tests whether the biochemical VOC data actually helps.</p>
</sec>
<sec id="s5_4_2">
<label>5.4.2</label>
<title>Robustness analysis</title>
<p>The noise level (<italic>&#x3c3;</italic>) in the simulation was deliberately increased from 0.05 to 0.30. This stress test measures how well the model performs when sensors are compromised or malfunctioning.</p>
</sec>
<sec id="s5_4_3">
<label>5.4.3</label>
<title>Theoretical security analysis</title>
<p>Instead of simulating a dynamic network attack, the theoretical breakpoints of the consensus mechanism were calculated. The safety limit was defined based on the Byzantine Fault Tolerance threshold (<italic>&gt;</italic> 33% honest stake) to visualize the conditions under which the ledger would fail.</p>
</sec>
<sec id="s5_4_4">
<label>5.4.4</label>
<title>Decision logic approximation</title>
<p>While <xref ref-type="boxed-text" rid="algo1"><bold>Algorithm 1</bold></xref> (Calibration), 4 (Anomaly Detection), and 5 (Nutrient Recommendation) describe the optimal theoretical logic for field deployment, the simulation environment used simplified heuristic versions. Specifically, the explicit EWMA calibration (Alg. 1) was bypassed to rigorously stress-test the FSPM&#x2019;s ability to learn directly from raw, noisy sensor data, and decision rules were approximated using threshold-based triggers to isolate the performance contribution of the learning layers.</p>
</sec>
</sec>
</sec>
<sec id="s6" sec-type="results">
<label>6</label>
<title>Results and discussion</title>
<p>Performance of the proposed QAL framework was evaluated through the comprehensive simulation described in Section 5. All results presented here are reported as mean &#xb1; standard deviation, calculated over 10 independent simulation runs to ensure the findings are statistically robust.</p>
<sec id="s6_1">
<label>6.1</label>
<title>Model performance and accuracy</title>
<sec id="s6_1_1">
<label>6.1.1</label>
<title>Learning stability and classification</title>
<p>The Federated Learning model demonstrated stable learning behavior. As shown in <xref ref-type="fig" rid="f5"><bold>Figure&#xa0;5</bold></xref>, the accuracy increased steadily over the first 25 communication rounds before stabilizing. The narrow shaded region indicates low variability, meaning the model performed consistently across all 10 simulations.</p>
<fig id="f5" position="float">
<label>Figure&#xa0;5</label>
<caption>
<p>Federated learning convergence stability. The model converges toward a mean accuracy of 96.7%, stabilizing significantly by round 30, with the narrowing shaded region (&#xb1; 1<italic>&#x3c3;</italic>) indicating high consistency across distributed clients. This demonstrates that the FSPM converges reliably even with fragmented, privacy-preserved data.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fagro-08-1768500-g005.tif">
<alt-text content-type="machine-generated">Line graph showing global model accuracy on the y-axis versus communication rounds on the x-axis. Mean accuracy, marked with purple dots, increases as communication rounds progress. A shaded pink area around the line represents variability (plus or minus one standard deviation). A legend in the lower right explains the symbols.</alt-text>
</graphic></fig>
<p>The final mean classification accuracy achieved was 96.74% &#xb1; 0.38%. <xref ref-type="fig" rid="f6"><bold>Figure&#xa0;6</bold></xref> (Confusion Matrix) visualizes the distribution of predictions. The system correctly identified Healthy crops approximately 1,200 times with high precision. As shown in <xref ref-type="fig" rid="f6"><bold>Figure&#xa0;6</bold></xref>, the primary source of error is the misclassification of specific stress conditions as Healthy (e.g., 38.8 cases of Nutrient Deficiency predicted as Healthy). This specific error pattern indicates that the model&#x2019;s main challenge is sensitivity during the onset of stress&#x2014;distinguishing the low-intensity signals of early-stage stress from the healthy baseline&#x2014;rather than confusing distinct stress types (e.g., Pest vs. Drought) with one another.</p>
<fig id="f6" position="float">
<label>Figure&#xa0;6</label>
<caption>
<p>Mean confusion matrix aggregated across 10 runs. The dark diagonal values (e.g., 1214.7 for Healthy) indicate correct predictions. While minor off-diagonal values indicate that early-stage stress signals can occasionally overlap with the healthy baseline, the high diagonal density suggests that, within this simulation, these edge cases do not compromise the system&#x2019;s overall reliability.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fagro-08-1768500-g006.tif">
<alt-text content-type="machine-generated">Confusion matrix heatmap with four classes: Healthy, Drought, Pest, and Nutrient_Def, showing high values along the diagonal, indicating strong classification performance for each class with sample counts and standard deviations. Color bar on the right represents sample count scale.</alt-text>
</graphic></fig>
<p>The Receiver Operating Characteristic (ROC) curves in <xref ref-type="fig" rid="f7"><bold>Figure&#xa0;7</bold></xref> confirm this high performance, with an Area Under the Curve (AUC) exceeding 0.99 for all categories. This suggests that, within the parameters of the controlled simulation environment, the system demonstrates high potential for distinguishing between stressed and non-stressed plants.</p>
<fig id="f7" position="float">
<label>Figure&#xa0;7</label>
<caption>
<p>ROC curves for multi-class classification. All four curves (Healthy, Drought, Pest, Nutrient Deficiency) hug the top-left corner with AUC <italic>&gt;</italic> 0.99, indicating a high true-positive rate with minimal false alarms across all stress categories.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fagro-08-1768500-g007.tif">
<alt-text content-type="machine-generated">Receiver operating characteristic (ROC) curve chart comparing four plant classification categories: Healthy with area under curve 0.997, Drought 0.996, Pest 0.996, and Nutrient Deficiency 0.997, against a diagonal random guess reference.</alt-text>
</graphic></fig>
</sec>
<sec id="s6_1_2">
<label>6.1.2</label>
<title>Yield prediction</title>
<p>Regarding yield forecasting, the QAL model achieved a Root Mean Square Error (RMSE) of 1.33 &#xb1; 0.19 tons/ha. This means the model&#x2019;s predictions were, on average, within 1.33 tons of the actual yield. In this synthetic scenario, this suggests a potential improvement over baseline methods, illustrating the theoretical capacity for more accurate food security planning.</p>
</sec>
</sec>
<sec id="s6_2">
<label>6.2</label>
<title>Ablation study: data vs. architecture</title>
<p>To verify if the complex QDSS sensor is actually necessary, the QAL system was compared against a Conventional setup that used only standard temperature and humidity sensors. The results (<xref ref-type="table" rid="T8"><bold>Table&#xa0;8</bold></xref>, <xref ref-type="fig" rid="f8"><bold>Figure&#xa0;8</bold></xref>) are significant.</p>
<table-wrap id="T8" position="float">
<label>Table&#xa0;8</label>
<caption>
<p>Ablation study results.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" align="left">Model architecture</th>
<th valign="middle" align="center">Yield RMSE (tons/ha)</th>
<th valign="middle" align="center">Stress accuracy (%)</th>
</tr>
</thead>
<tbody>
<tr>
<th valign="middle" colspan="3" align="left">Group 1: Conventional data only (temp/humidity)</th>
</tr>
<tr>
<td valign="middle" align="left">Random Forest</td>
<td valign="middle" align="center">1.36 &#xb1; 0.21</td>
<td valign="middle" align="center">32.75% &#xb1; 2.1%</td>
</tr>
<tr>
<td valign="middle" align="left">SVM</td>
<td valign="middle" align="center">1.45 &#xb1; 0.21</td>
<td valign="middle" align="center">33.72% &#xb1; 2.6%</td>
</tr>
<tr>
<td valign="middle" align="left">FSPM (Neural Net)</td>
<td valign="middle" align="center">2.45 &#xb1; 0.23</td>
<td valign="middle" align="center">26.83% &#xb1; 1.7%</td>
</tr>
<tr>
<th valign="middle" colspan="3" align="left">Group 2: Full data (conventional + QDSS chemical data)</th>
</tr>
<tr>
<td valign="middle" align="left">Random Forest</td>
<td valign="middle" align="center">1.36 &#xb1; 0.21</td>
<td valign="middle" align="center">65.71% &#xb1; 9.2%</td>
</tr>
<tr>
<td valign="middle" align="left">SVM</td>
<td valign="middle" align="center">1.53 &#xb1; 0.21</td>
<td valign="middle" align="center">95.71% &#xb1; 0.4%</td>
</tr>
<tr>
<td valign="middle" align="left"><bold>FSPM (Proposed QAL)</bold></td>
<td valign="middle" align="center"><bold>1.33</bold> &#xb1; <bold>0.19</bold></td>
<td valign="middle" align="center"><bold>96.74%</bold> &#xb1; <bold>0.38%</bold></td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>A comparison of Yield RMSE and stress classification accuracy between models using only conventional sensors (group 1) versus the proposed QAL framework (group 2).</p></fn>
<fn>
<p>Bold values indicate the best predictive performance achieved for each evaluated metric.</p></fn>
</table-wrap-foot>
</table-wrap>
<fig id="f8" position="float">
<label>Figure&#xa0;8</label>
<caption>
<p>Ablation study results demonstrating the necessity of biochemical data. <bold>(a)</bold> Models using only Conventional Data (Temp/Humidity) fail to exceed &#x2248;33% accuracy, indistinguishable from random guessing. <bold>(b)</bold> The inclusion of QDSS Chemical Data raises accuracy to &#x2248;96%, confirming that VOC sensing is the primary driver of diagnostic performance.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fagro-08-1768500-g008.tif">
<alt-text content-type="machine-generated">Two grouped bar charts labeled A and B compare yield prediction RMSE values in blue and classification accuracy percentages in red across different model architectures. Chart A shows conventional data with random forest, support vector machine, and FSPM, while chart B shows full data with random forest, support vector machine, and FSPM (QAL). Each bar is labeled with numerical values, and error bars indicate variability. Blue and red y-axes display RMSE and accuracy respectively.</alt-text>
</graphic></fig>
<p>When using only standard sensors, the accuracy was poor (&#x2248; 33%), which yields performance comparable to random chance. This confirms that temperature and humidity are lagging indicators&#x2014;they change too late to predict stress types accurately. However, when the QDSS (chemical) data was added, accuracy significantly improved across all models, peaking at 96.74% with the FSPM. Notably, while chemical data alone improved Random Forest performance to 65%, the combination of high-fidelity spectral data with the deep learning architecture was required to achieve near-perfect classification, suggesting that detecting VOCs is a necessary but not solely sufficient condition for early diagnosis; advanced non-linear modeling appears to be required.</p>
</sec>
<sec id="s6_3">
<label>6.3</label>
<title>Robustness analysis</title>
<p>Real-world farm environments are noisy&#x2014;sensors get compromised, and weather fluctuates. To evaluate the model&#x2019;s susceptibility to such conditions, a Noise Sensitivity Analysis was run. The sensor data was intentionally perturbed with increasing levels of random noise (<italic>&#x3c3;</italic>).</p>
<p>As shown in <xref ref-type="fig" rid="f9"><bold>Figure&#xa0;9</bold></xref>, the model demonstrates resilience at lower noise thresholds. The classification accuracy (orange line) remains high (<italic>&gt;</italic> 90%) when noise levels are &#x2264; 0.10. However, performance degradation accelerates beyond this point, dropping to approximately 71% at <italic>&#x3c3;</italic> = 0.20. This indicates that while the system can handle standard sensor drift, it requires maintenance protocols to prevent noise from reaching these critical instability thresholds. This suggests that the framework maintains theoretical efficacy even under simulated non-ideal conditions, though physical validation remains necessary to confirm these noise-tolerance thresholds.</p>
<fig id="f9" position="float">
<label>Figure&#xa0;9</label>
<caption>
<p>Noise sensitivity analysis. The plot demonstrates the FSPM&#x2019;s robustness, maintaining high classification accuracy (<italic>&gt;</italic>90%) even as simulated sensor noise (<italic>&#x3c3;</italic>) increases to 0.10. Performance degradation only becomes critical at extreme noise levels (<italic>&#x3c3; &gt;</italic> 0.25), supporting the system&#x2019;s theoretical viability for deployment in real-world agricultural environments where sensor data is subject to drift and interference.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fagro-08-1768500-g009.tif">
<alt-text content-type="machine-generated">Line graph showing yield prediction RMSE in blue on the left y-axis and classification accuracy in orange on the right y-axis, both plotted against simulated sensor noise level on the x-axis. Yield RMSE increases while classification accuracy decreases as noise increases.</alt-text>
</graphic></fig>
</sec>
<sec id="s6_4">
<label>6.4</label>
<title>Ecosystem impact and blockchain security</title>
<sec id="s6_4_1">
<label>6.4.1</label>
<title>Ecosystem impact via precision management</title>
<p>To evaluate the environmental benefit of the framework, a dynamic nutrient management scenario was simulated over a 60-day growing period. <xref ref-type="fig" rid="f10"><bold>Figure&#xa0;10</bold></xref> compares the QAL-driven approach (green line) against a baseline control (red line).</p>
<fig id="f10" position="float">
<label>Figure&#xa0;10</label>
<caption>
<p>Nitrogen management simulation. The QAL system (green) proactively triggers fertilizer applications (spikes) to prevent soil levels from falling below the 70 kg/ha safety threshold. In contrast, the baseline control (red) allows continuous depletion. Note that the current decision logic prioritizes preventing deficiency, resulting in a gradual accumulation of soil nitrogen (Green Line rising &gt;150 kg/ha), which highlights the need for future constraints to balance yield safety with input minimization.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fagro-08-1768500-g010.tif">
<alt-text content-type="machine-generated">Line graph showing nitrogen levels in kilograms per hectare over sixty days, with a solid green line representing the QAL framework, a red dashed line for baseline control, shaded area showing variability, and two dotted horizontal lines for optimal nitrogen and stress threshold.</alt-text>
</graphic></fig>
<p>The simulation assumes a linear soil nitrogen depletion rate of 1.2 kg/ha/day. While <xref ref-type="boxed-text" rid="algo5"><bold>Algorithm 5</bold></xref> includes constraints for weather delays, the simulation presented in <xref ref-type="fig" rid="f10"><bold>Figure&#xa0;10</bold></xref> focuses primarily on the nutrient-response logic. As illustrated in the figure, the QAL-driven protocol (Green Line) prioritizes yield security by strictly preventing depletion. The logic triggers a precise application (+15 kg/ha) whenever the deficiency probability exceeds 50% or soil levels drop below 70 kg/ha (10 kg/ha below the optimal). While this successfully maintains soil health above the stress threshold (Red Line), the accumulation trend observed over the 60-day period&#x2014;accumulating to a peak of approximately 195 kg/ha&#x2014;indicates a conservative safety buffer strategy. While this ensures zero yield loss due to nutrient stress, future iterations of the control algorithm will incorporate an upper-bound constraint to cap nitrogen accumulation, thereby optimizing the balance between yield security and fertilizer runoff reduction.</p>
</sec>
<sec id="s6_4_2">
<label>6.4.2</label>
<title>Theoretical security analysis</title>
<p>While the agronomic simulations demonstrate the system&#x2019;s ability to generate value, the validity of the ecosystem relies on the integrity of the data recorded on the ledger. To ensure that rewards for sustainable practices (such as the nitrogen management shown above) are not exploited by malicious actors, the consensus mechanism must be robust. To define the security limits of this mechanism, a theoretical stress test was performed based on the Byzantine Fault Tolerance threshold. <xref ref-type="fig" rid="f4"><bold>Figure&#xa0;4</bold></xref> visualizes the system&#x2019;s integrity score against an increasing ratio of malicious validators.</p>
<p>As illustrated in <xref ref-type="fig" rid="f4"><bold>Figure&#xa0;4</bold></xref>, the system exhibits distinct failure modes based on Byzantine Fault Tolerance (BFT) thresholds. The ledger maintains safety integrity (prevention of invalid block finalization) provided that the malicious stake remains below <inline-formula>
<mml:math display="inline" id="im74"><mml:mrow><mml:mfrac><mml:mn>2</mml:mn><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:mfrac></mml:mrow></mml:math></inline-formula>. However, network liveness (continuous operation) is sensitive to a lower threshold; if adversarial actors control more than <inline-formula>
<mml:math display="inline" id="im75"><mml:mrow><mml:mfrac><mml:mn>1</mml:mn><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:mfrac></mml:mrow></mml:math></inline-formula> of the stake, they can stall the consensus process (Orange Zone). Consequently, the system guarantees full operational security only when honest validators control a supermajority <inline-formula>
<mml:math display="inline" id="im76"><mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mo>&gt;</mml:mo><mml:mfrac><mml:mn>2</mml:mn><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:mfrac></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:math></inline-formula>, ensuring the network neither halts nor accepts invalid transactions.</p>
<p><xref ref-type="table" rid="T9"><bold>Table&#xa0;9</bold></xref> details the proposed architectural defenses intended to maintain the network within this safe zone:</p>
<table-wrap id="T9" position="float">
<label>Table&#xa0;9</label>
<caption>
<p>Threat matrix and defenses.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" align="left">Attack type</th>
<th valign="middle" align="left">Likelihood</th>
<th valign="middle" align="left">Impact</th>
<th valign="middle" align="left">Proposed defense</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="middle" align="left">Sybil Attack</td>
<td valign="middle" align="left">Medium</td>
<td valign="middle" align="left">High</td>
<td valign="middle" align="left">Identity Verification + Staking Requirement</td>
</tr>
<tr>
<td valign="middle" align="left">51% Attack</td>
<td valign="middle" align="left">Low</td>
<td valign="middle" align="left">Critical</td>
<td valign="middle" align="left">Slashing Mechanism (Financial Penalty)</td>
</tr>
<tr>
<td valign="middle" align="left">Oracle Collusion</td>
<td valign="middle" align="left">Medium</td>
<td valign="middle" align="left">High</td>
<td valign="middle" align="left">Decentralized Data Aggregation</td>
</tr>
<tr>
<td valign="middle" align="left">Sensor Spoofing</td>
<td valign="middle" align="left">High</td>
<td valign="middle" align="left">Medium</td>
<td valign="middle" align="left">Hardware-level Digital Signatures</td>
</tr>
</tbody>
</table>
</table-wrap>
<list list-type="bullet">
<list-item>
<p>Sybil Attack: Attackers might create multiple fake identities to gain influence. The proposed consensus protocol mitigates this via a staking requirement, which is designed to make accumulating enough identities to influence consensus prohibitively expensive.</p></list-item>
<list-item>
<p>51% Attack: In a standard attack where a group controls the majority of the network, the protocol&#x2019;s slashing mechanism is defined to ensure that any validator detected voting against the oracle-verified truth forfeits their financial stake, rendering the attack economically irrational.</p></list-item>
<list-item>
<p>Oracle Collusion: To prevent false weather or soil data from entering the chain, the system architecture mandates decentralized data aggregation, requiring multiple independent sources to agree before data is accepted as valid.</p></list-item>
<list-item>
<p>Sensor Spoofing: To prevent the injection of fake sensor readings, the hardware specification requires hardware-level digital signatures, ensuring that only data from verified, physical devices is recorded on the ledger.</p></list-item>
</list>
</sec>
</sec>
<sec id="s6_5">
<label>6.5</label>
<title>Limitations and challenges</title>
<p>Transitioning from a computational framework to a physical reality presents several challenges that must be addressed.</p>
<sec id="s6_5_1">
<label>6.5.1</label>
<title>Technical challenges</title>
<list list-type="bullet">
<list-item>
<p>Sensor Drift and Calibration: In the simulation, drift was modeled mathematically. In the real world, physical QDSS sensors will degrade due to UV exposure and dust. Field units will require robust self-calibration algorithms or periodic manual maintenance to maintain the accuracy seen in these results.</p></list-item>
<list-item>
<p>Environmental Interference and Cross-Sensitivity: High humidity can mask chemical signals, and structurally similar VOCs may induce cross-sensitivity in the sensor array. Future physical prototypes will require rigorous selectivity testing and numerical sensitivity analysis to address inter-dot cross-reactivity and environmental interference. Furthermore, the economic scalability and the energy costs of maintaining a decentralized ledger must be analyzed to determine the practical viability for smallholder farming communities.</p></list-item>
</list>
</sec>
<sec id="s6_5_2">
<label>6.5.2</label>
<title>Economic challenges</title>
<p>The cost of fabricating quantum dot arrays is currently high. For this system to be accessible to smallholder farmers, a Farming-as-a-Service model&#x2014;where sensors are rented rather than bought&#x2014;may be necessary. However, the simulation indicates that reduced fertilizer waste could offset these costs over time.</p>
</sec>
<sec id="s6_5_3">
<label>6.5.3</label>
<title>Ethical and governance challenges</title>
<p>While the Federated Learning model protects raw data, the digital divide remains a concern. There is a risk that only wealthy farms could afford the high-bandwidth edge devices required to run the local AI models. Governance mechanisms must be designed to ensure that smallholders are not excluded from the network&#x2019;s benefits.</p>
</sec>
</sec>
</sec>
<sec id="s7" sec-type="conclusions">
<label>7</label>
<title>Conclusion and future work</title>
<p>This study presented the Quantum-Enhanced Agri-Ledger (QAL), a computational framework designed to support Climate-Smart Agronomy. By conducting a rigorous simulation using high-fidelity synthetic data, a theoretical validation of the system&#x2019;s potential was provided. The results indicate that a system integrating chemical sensing with privacy-preserving AI has the theoretical capacity to achieve stress detection accuracy of 96.74%, significantly outperforming current tools in the simulated environment. Notably, the ablation study confirmed that while conventional sensors failed to distinguish specific stressors (accuracy &#x2248; 33%), the integration of biochemical QDSS data was the decisive factor in achieving high-fidelity diagnostics. Furthermore, the theoretical security analysis indicates that the proposed blockchain architecture offers potential for resilience against common network threats.</p>
<p>However, this work represents a blueprint, not a final product. The simulation results illustrate considerable theoretical potential, though significant physical challenges regarding sensor fabrication and field calibration remain to be addressed. Future work will focus on:</p>
<list list-type="order">
<list-item>
<p>Physical Prototyping: Fabricating the QDSS sensor array and testing it in a controlled greenhouse environment.</p></list-item>
<list-item>
<p>Field Trials: Collecting a real-world dataset to retrain the FSPM model, specifically to address the challenge of separating overlapping VOC signatures in a noisy environment.</p></list-item>
</list>
</sec>
</body>
<back>
<sec id="s8" sec-type="data-availability">
<title>Data availability statement</title>
<p>The datasets presented in this study can be found in online repositories. The names of the repository/repositories and accession number(s) can be found in the article/supplementary material.</p></sec>
<sec id="s9" sec-type="author-contributions">
<title>Author contributions</title>
<p>AK: Methodology, Software, Validation, Writing &#x2013; original draft, Writing &#x2013; review &amp; editing. NS: Data curation, Methodology, Visualization, Writing &#x2013; original draft, Writing &#x2013; review &amp; editing. KK: Conceptualization, Project administration, Supervision, Writing &#x2013; original draft, Writing &#x2013; review &amp; editing. GS: Investigation, Project administration, Supervision, Writing &#x2013; original draft, Writing &#x2013; review &amp; editing. DD: Methodology, Software, Visualization, Writing &#x2013; original draft, Writing &#x2013; review &amp; editing. PC: Validation, Writing &#x2013; original draft, Writing &#x2013; review &amp; editing, Visualization. HP: Validation, Writing &#x2013; original draft, Writing &#x2013; review &amp; editing, Formal analysis, Investigation.</p></sec>
<sec id="s11" sec-type="COI-statement">
<title>Conflict of interest</title>
<p>The author(s) declared that this work was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p></sec>
<sec id="s12" sec-type="ai-statement">
<title>Generative AI statement</title>
<p>The author(s) declared that generative AI was not used in the creation of this manuscript.</p>
<p>Any alternative text (alt text) provided alongside figures in this article has been generated by Frontiers with the support of artificial intelligence and reasonable efforts have been made to ensure accuracy, including review by the authors wherever possible. If you identify any issues, please contact us.</p></sec>
<sec id="s13" sec-type="disclaimer">
<title>Publisher&#x2019;s note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p></sec>
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<p>Edited by: <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/3066620">Mrinmoy Ray</ext-link>, Indian Agricultural Research Institute (ICAR), India</p></fn>
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<p><ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/3264871">Biswadip Basu Mallik</ext-link>, Institute of Engineering and Management (IEM), India</p></fn>
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