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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Plant Sci.</journal-id>
<journal-title>Frontiers in Plant Science</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Plant Sci.</abbrev-journal-title>
<issn pub-type="epub">1664-462X</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.3389/fpls.2024.1481882</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Plant Science</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Development and validation of soil test crop response model for beetroot (<italic>Beta vulgaris</italic>) grown in ultisols of India</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Arulmani</surname>
<given-names>Ramasamy</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2810795"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-original-draft/"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Sellamuthu</surname>
<given-names>Kuppayevalasu Malayappagounder</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="author-notes" rid="fn001">
<sup>*</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2834287"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-review-editing/"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Maragatham</surname>
<given-names>Subramaniam</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<role content-type="https://credit.niso.org/contributor-roles/conceptualization/"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-original-draft/"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Senthil</surname>
<given-names>Alargarsamy</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1129788"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-review-editing/"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Thamaraiselvi</surname>
<given-names>Seenapuram Palaniswami</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff4">
<sup>4</sup>
</xref>
<role content-type="https://credit.niso.org/contributor-roles/formal-analysis/"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-review-editing/"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Malathi</surname>
<given-names>Palaniappan</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<role content-type="https://credit.niso.org/contributor-roles/investigation/"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-review-editing/"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Sridevi</surname>
<given-names>Govindaraja</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<role content-type="https://credit.niso.org/contributor-roles/conceptualization/"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-review-editing/"/>
</contrib>
</contrib-group>
<aff id="aff1">
<sup>1</sup>
<institution>Tamil Nadu Agricultural University</institution>, <addr-line>Coimbatore</addr-line>, <country>India</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>Department of Soil Science and Agricultural Chemistry</institution>, <addr-line>Coimbatore</addr-line>, <country>India</country>
</aff>
<aff id="aff3">
<sup>3</sup>
<institution>Department of Crop Physiology</institution>, <addr-line>Coimbatore</addr-line>, <country>India</country>
</aff>
<aff id="aff4">
<sup>4</sup>
<institution>Department of  Floriculture and Landscape Architecture</institution>, <addr-line>Coimbatore</addr-line>, <country>India</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>Edited by: Khurram Shahzad, Lasbela University of Agriculture, Water and Marine Sciences, Pakistan</p>
</fn>
<fn fn-type="edited-by">
<p>Reviewed by: Gunasekhar Nachimuthu, NSW Government, Australia</p>
<p>Sudip Sengupta, Swami Vivekananda University, India</p>
<p>Deepu Pandita, Government Department of School Education, India</p>
</fn>
<fn fn-type="corresp" id="fn001">
<p>*Correspondence: Kuppayevalasu Malayappagounder Sellamuthu, <email xlink:href="mailto:kmsellamuthu@tnau.ac.in">kmsellamuthu@tnau.ac.in</email>
</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>28</day>
<month>01</month>
<year>2025</year>
</pub-date>
<pub-date pub-type="collection">
<year>2024</year>
</pub-date>
<volume>15</volume>
<elocation-id>1481882</elocation-id>
<history>
<date date-type="received">
<day>16</day>
<month>08</month>
<year>2024</year>
</date>
<date date-type="accepted">
<day>20</day>
<month>12</month>
<year>2024</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2025 Arulmani, Sellamuthu, Maragatham, Senthil, Thamaraiselvi, Malathi and Sridevi</copyright-statement>
<copyright-year>2025</copyright-year>
<copyright-holder>Arulmani, Sellamuthu, Maragatham, Senthil, Thamaraiselvi, Malathi and Sridevi</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>Soil Test Crop Response (STCR), a combined plant nutrient management system that enables to develop fertilizer prescription equations for balanced crop nutrition, higher yield, profitability, and better nutrient efficiency. Field trial was carried out on Typic Haplohmult soil of Nilgiris, Tamil Nadu during 2023-2024 by Implementing an Inductive combined with a targeted yield model. Field trial includes a gradient experiment with a green viz., <italic>Chenopodium album</italic>; a test crop experiment with beetroot (Hybrid Improved Crystal) and a validation experiment with beetroot. First, the fertility gradient was ensured by the biomass yield and soil fertility. Then, test crop experiment with beet root were conducted in the same field to derive the basic parameters viz., Nutrient Requirement (NR), contribution of nutrients from fertilizers (C<sub>f</sub>), contribution of nutrients from soil (C<sub>s</sub>) and contribution of nutrients from the Farm Yard manure (C<sub>fym</sub>). Using the basic parameters, fertilizer prescription equations were developed based on Integrated Plant Nutrition System and validated. We found that 0.38, 0.29, and 0.46 kg of N, P<sub>2</sub>O5, and K<sub>2</sub>O, respectively, were required for producing one quintal of beetroot tuber under the integrated approach. Readily customized of fertilizer nutrient doses was developed for varying soil test values and desired yield targets of beetroot, for both inorganic (NPK) alone and NPK + Farm Yard Manure (FYM). The model was validated in the same soil series with the achievement of 40 and 45 tonnes of beetroot ha<sup>-1</sup> with 100.9% and 96.9% of yield achievement, respectively. The Soil analysis crop response - combined Plant Nutrition System model proved that beetroot yield can be increased by 34.74%, in relation to the generally recommended dose This inductive method could save 37, 26 and 34 kg of Nitrogen, Phosphorus and Potassium, respectively when Nitrogen, Phosphorus, Potassium fertilizers are combined with 12.5 t ha<sup>-1</sup> FYM as per soil test and targeted yield of beetroot.</p>
</abstract>
<kwd-group>
<kwd>beetroot</kwd>
<kwd>fertilizer prescription</kwd>
<kwd>STCR-IPNS</kwd>
<kwd>targeted yield model</kwd>
<kwd>NPK uptake, BCR</kwd>
</kwd-group>
<counts>
<fig-count count="8"/>
<table-count count="6"/>
<equation-count count="13"/>
<ref-count count="60"/>
<page-count count="15"/>
<word-count count="7604"/>
</counts>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-in-acceptance</meta-name>
<meta-value>Plant Nutrition</meta-value>
</custom-meta>
</custom-meta-wrap>
</article-meta>
</front>
<body>
<sec id="s1" sec-type="intro">
<label>1</label>
<title>Introduction</title>
<p>Precision agriculture plays a vital role in fertilizer economy, plant yield productivity and soil health. Fertilizers are crucial for boosting agricultural production. Though fertilizer consumption over the years is increasing, achieving the fertilizer use efficiency at farm level is still in question due to variety of reasons. Continuous escalation of expense of fertilizers and limited quantity of organic manures left the farmers mainly rely on chemical fertilizers. The current blanket fertilizer recommendation in developing countries fails to ensure efficient and economical fertilizer use due to its oversight of fertility variations, leading to imbalanced utilization of fertilizer nutrients. Constant use of straight fertilizers resulted in deficiency of micronutrients in crops. The scientific community realized depending solely of chemical fertilizer or organic manure cannot sustain the crop productivity and soil health. Considering the fragmented small and marginal farms, soil test based fertilizer application found the most suited fertilizer recommendation model for country like India. Fertilizer recommendations based on soil test result in effective fertilizer use and sustain of soil fertility. Among the different techniques of fertilizer recommendation, the approach based on yield aimed stands out for its uniqueness, as it not only provides soil analysis based fertilizer doses but also predicts the achievable yield(production) level through appropriate crop management practices. The aimed yield methods also establishes a scientific foundation for equitable fertilization, ensuring equilibrium not only between nourishment from external input but also with those present in the soil.</p>
<p>The STCR method aids farmers in lowering fertilizer consumption and minimizing environmental contamination by supplying crops with precisely the nutrients they require. It also boosts crop productivity and profitability by optimizing nutrient application and preventing nutrient shortages or surpluses. One of the precision agriculture techniques that relies on soil fertility information combined with plant nutrient requirements to maximize nutrient management and crop yields is the Soil Test Crop Response approach. The utilization of this information concerning soil fertility and the plant requirements may help alleviate over-fertilization by minimizing the quantities needed and reduce environmental pollution. It can also enhance crop yields and profitability in the light of optimizing nutrient management and limiting the deficiencies or excesses of nutrient. Further, precision agriculture technologies like variable rate application can make nutrient management even more accurate and efficient.</p>
<p>
<italic>Beta vulgaris</italic> L. (Beetroot) belong to Chenopodiaceae family, an crucial root vegetable which contain minerals like magnesium, manganese, sodium, potassium, iron, and copper. Beetroot has a various therapeutic characteristics that can help prevent heart disease and certain malignancies. Beetroot has many beneficial compounds, including glycine, betaine, saponins, betacyanin, carotenoids, folates, betanins, polyphenols, and flavonoids. Beetroot, a significant root vegetable crop cultivated in 2164 hectares, 36260 tonnes and 16.75 t ha<sup>-1</sup> of productivity in India. The study area is Nilgiris, which covers 507 hectares and produces 11,915 tonnes, resulting in a productivity of 23.50 t h<sup>-1</sup> (<xref ref-type="bibr" rid="B17">Kadam et al., 2018</xref>). Given that beetroot productivity is below the global average, it is imperative to boost productivity through improved technologies. A unique inductive cum targeted yield approach proposed by <xref ref-type="bibr" rid="B33">Ramamoorthy et&#xa0;al. (1967)</xref> that considers soil nutrient availability and economic yield target of crops with an inclusive fertilizer and manure combination suits the present situation for India. <xref ref-type="bibr" rid="B35">Santhi et&#xa0;al. (2011)</xref> developed the fertilizer prescription equation for beetroot grown in Alfisols distributed in plains of Tamil Nadu while there is no comprehensive fertilizer prescription equation for beetroot grown in Ulitsols (hilly soils) of Tamil Nadu. Hence, the present experiment was carried out in red non calcareous soils of Typic Haplohmult of Nilgiris (Ooty), Tamil Nadu (TN), India aimed to formulate a balanced fertilizer schedule to enhance both productivity and sustaining soil health with fertilizer economy in hill beetroot cultivation system.</p>
</sec>
<sec id="s2" sec-type="materials|methods">
<label>2</label>
<title>Materials and methods</title>
<sec id="s2_1">
<label>2.1</label>
<title>Details of the experimental field</title>
<p>Field trial were conducted in Typic Haplohmult soil series at Horticultural Research Station (HRS), a constituent research farm of Tamil Nadu Agricultural University (TNAU), in Nilgiris (11&#xb0; 25&#x2019; N Latitude, 76&#xb0; 43&#x2019; E Longitude), Tamil Nadu, India during 2023-2024. Surface (0-5.90 inch deep) soil sample was collected as per the standard procedure and analyzed for physical and chemical properties (<xref ref-type="bibr" rid="B16">Jackson, 1973</xref>). The fixing capacities of phosphorus were assessed using an equilibrium method with monocalcium phosphate, according to the procedure outlined by <xref ref-type="bibr" rid="B58">Waugh and Fitts (1966)</xref>. Using an equilibrium technique using potassium chloride, the potassium fixation capacities were assessed in accordance with the protocol described by (<xref ref-type="bibr" rid="B58">Waugh and Fitts, 1966</xref>). The soil was red non calcareous, deep, well drained, clay loam in texture, acidic (pH 4.56), non-saline (EC 0.34 dSm<sup>-1</sup>) and medium in CEC (17 cmol (p+) kg<sup>-1</sup>). Initial soil fertility status indicated that the soil organic carbon, KMnO<sub>4</sub>-available nitrogen (N), Bray available phosphorus (P), NH<sub>4</sub>OAc- available potassium (K) were found to be 31.47 g kg<sup>-1</sup>, 450 kg ha<sup>-1</sup>, 185 kg ha<sup>-1</sup>, and 510 kg ha<sup>-1</sup>, respectively. The phosphorus and potassium fixing capacities of the initial soil were 250 and 100 kg ha<sup>-1</sup>, respectively. Available micronutrients (DTPA extractable- mg kg<sup>-1</sup>) viz., iron (42.14), Manganese (10.34), Zine(1.24) and Copper (1.82) were in sufficient ranges (<xref ref-type="fig" rid="f1">
<bold>Figure&#xa0;1</bold>
</xref>). <xref ref-type="fig" rid="f1">
<bold>Figure&#xa0;1</bold>
</xref> shows the overall protocol followed in the development STCR-IPNS model.</p>
<fig id="f1" position="float">
<label>Figure&#xa0;1</label>
<caption>
<p>Graphical representation of experiment for development of fertilizer prescription equation.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fpls-15-1481882-g001.tif"/>
</fig>
<p>The field trial was carried out in three phase: Phase I: Fertility gradient field trial using a green, <italic>Chenopodium album</italic> from April to June 2023; Phase II: Test crop field trial with beetroot from September to December 2023; Phase III: Validation field trial with beetroot from January to April 2024 to confirm the accuracy of the developed targeted yield equation.</p>
</sec>
<sec id="s2_2">
<label>2.2</label>
<title>Fertility gradient field trial (phase I)</title>
<p>First, a gradient experiment was conducted with a green, <italic>Chenopodium album</italic> var. Ooty 1. According to the inductive methodology proposed by <xref ref-type="bibr" rid="B33">Ramamoorthy et&#xa0;al. (1967)</xref>, the fertility variation developed artificially. The experimental field trial was divided into three equal rectangular strips and applied with varying amounts of N, P<sub>2</sub>O<sub>5</sub>, and K<sub>2</sub>O fertilizers (N<sub>0</sub>P<sub>0</sub>K<sub>0</sub>; N<sub>1</sub>P<sub>1</sub>K<sub>1</sub>; N<sub>2</sub>P<sub>2</sub>K<sub>2</sub>). Strip I remained untreated nutrient (control), Strip II received the general recommendation of N recommended for <italic>Chenopodium album</italic>, while P<sub>2</sub>O<sub>5</sub> and K<sub>2</sub>O were applied based on soil fixing capacities of 250 and 100 kg ha<sup>-1</sup>, respectively. Strip III received a double the dose of fertilizers compared to Strip II. Fertilizers were calculated, applied and ploughed which establishes a uniform mixing of fertilizers in each strip. After the ensuring mixing of fertilizers, <italic>Chenopodium album</italic> var. Ooty 1 was sown and irrigated. The intensive cultivation of <italic>Chenopodium album</italic> var. Ooty 1 led to alterations in the soil fertility. After 65 days of sowing, the crop was harvested in each fertility strip, and the yield of green biomass was recorded. Twenty four soil samples from each strip was collected and analyzed before and after the harvest of gradient crop for KMnO<sub>4</sub> -nitrogen (N), Bray phosphorus (P) and ammonium acetate (NH<sub>4</sub>OAc) potassium (K). Based on the dry matter production, uptake of N, P and K, post harvest KMnO<sub>4</sub>-nitrogen (N), Bray phosphorus (P) and ammonium acetate (NH<sub>4</sub>OAc) potassium (K), the development of fertility gradient was ensured (<xref ref-type="fig" rid="f2">
<bold>Figure&#xa0;2</bold>
</xref>). <xref ref-type="fig" rid="f2">
<bold>Figure&#xa0;2</bold>
</xref> shows the layout of the gradient experiment and levels of nutrients added to each Strip.</p>
<fig id="f2" position="float">
<label>Figure&#xa0;2</label>
<caption>
<p>Illustration of the fertility gradient experiment.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fpls-15-1481882-g002.tif"/>
</fig>
</sec>
<sec id="s2_3">
<label>2.3</label>
<title>Test crop field trail (phase II)</title>
<p>Second, a test crop experiment was planned with beet root (hybrid-Improved crystal). After the verification of gradient establishment, the principal experiment commenced with beetroot as the test crop. After the harvest of gradient crop, each strip was divided into 24 plots and soil samples from each plot was collected and analyzed for available potassium permanganate (KMnO<sub>4</sub>) nitrogen (N) (<xref ref-type="bibr" rid="B50">Subbiah and Asija, 1956</xref>), Bray phosphorus (P) (<xref ref-type="bibr" rid="B7">Bray and Kurtz, 1945</xref>), ammonium acetate (NH<sub>4</sub>OAc) potassium (K) (<xref ref-type="bibr" rid="B49">Stanford and English, 1949</xref>). The test crop experiment was laid out in a fractional factorial randomized block design comprising 24 treatments with four levels of N (0, 60, 120, and 180 kg ha<sup>-1</sup>), four levels of P<sub>2</sub>O<sub>5</sub> (0, 80, 160, and 240 kg ha<sup>-1</sup>), four levels of K<sub>2</sub>O (0, 50, 100, and 150 kg ha<sup>-1</sup>) and three levels of FYM @ 0, 6.25, and 12.5 t ha<sup>-1</sup>. Within the field trial, each strip was subdivided into three sub-strips to apply three levels of FYM across the fertility gradient. The layout of the field trial is illustrated in <xref ref-type="fig" rid="f3">
<bold>Figure&#xa0;3</bold>
</xref> which shows the major nutrient combination for each treatment and superimposition of level of manure in each Strip main experiment. The test crop was cultivated using 24 treatment combinations by applying 21 selected treatment combinations, along with three control treatments as outlined in <xref ref-type="table" rid="T1">
<bold>Table&#xa0;1</bold>
</xref>. Care was taken to super impose the IPNS treatments viz., NPK (inorganic) alone, NPK + FYM (integrated) at 6.25 t ha<sup>-1</sup>, and NPK + FYM (integrated) at 12.5 t ha<sup>-1</sup>) across the strips. Attention was ensured to randomize the 21 fertilizer treatments and three control treatments in such a way that all the 24 treatments present in all the three strips in either direction of the plots. All the nutrient management and plant protection packages were done as per the Crop Production Guide prescribed by Tamil Nadu Agricultural University and Government of Tamil Nadu. The fertilizer P<sub>2</sub>O<sub>5</sub>, K<sub>2</sub>O, and FYM were applied basally while fertilizer nitrogen (N) was applied during basal and 30 days after sowing. The crop was grown to maturity, fresh roots were harvested and the root yield was recorded. From each plot, plant and root samples were collected, processed, and analyzed for total N (<xref ref-type="bibr" rid="B15">Humphries, 1956</xref>), P, and K contents (<xref ref-type="bibr" rid="B16">Jackson, 1973</xref>), and the NPK uptake by beetroot was computed based on dry matter yield and NPK nutrient content.</p>
<fig id="f3" position="float">
<label>Figure&#xa0;3</label>
<caption>
<p>Layout plan of test crop experiment with Beetroot.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fpls-15-1481882-g003.tif"/>
</fig>
<table-wrap id="T1" position="float">
<label>Table&#xa0;1</label>
<caption>
<p>Treatment structure for test crop experiment (Beetroot).</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="top" rowspan="2" align="center">S. No</th>
<th valign="top" colspan="3" align="center">Treatment combination</th>
<th valign="top" colspan="3" align="center">Levels of nutrients(kgha<sup>-1</sup>)</th>
</tr>
<tr>
<th valign="top" align="center">N</th>
<th valign="top" align="center">P</th>
<th valign="top" align="center">K</th>
<th valign="top" align="center">N</th>
<th valign="top" align="center">P<sub>2</sub>O<sub>5</sub>
</th>
<th valign="top" align="center">K<sub>2</sub>O</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="center">1</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">0</td>
<td valign="bottom" align="center">0</td>
<td valign="bottom" align="center">0</td>
<td valign="bottom" align="center">0</td>
</tr>
<tr>
<td valign="top" align="center">2</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">0</td>
<td valign="bottom" align="center">0</td>
<td valign="bottom" align="center">0</td>
<td valign="bottom" align="center">0</td>
</tr>
<tr>
<td valign="top" align="center">3</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">0</td>
<td valign="bottom" align="center">0</td>
<td valign="bottom" align="center">0</td>
<td valign="bottom" align="center">0</td>
</tr>
<tr>
<td valign="top" align="center">4</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">2</td>
<td valign="top" align="center">2</td>
<td valign="bottom" align="center">0</td>
<td valign="bottom" align="center">160</td>
<td valign="bottom" align="center">100</td>
</tr>
<tr>
<td valign="top" align="center">5</td>
<td valign="top" align="center">1</td>
<td valign="top" align="center">1</td>
<td valign="top" align="center">1</td>
<td valign="bottom" align="center">60</td>
<td valign="bottom" align="center">80</td>
<td valign="bottom" align="center">50</td>
</tr>
<tr>
<td valign="top" align="center">6</td>
<td valign="top" align="center">1</td>
<td valign="top" align="center">2</td>
<td valign="top" align="center">1</td>
<td valign="bottom" align="center">60</td>
<td valign="bottom" align="center">160</td>
<td valign="bottom" align="center">50</td>
</tr>
<tr>
<td valign="top" align="center">7</td>
<td valign="top" align="center">1</td>
<td valign="top" align="center">1</td>
<td valign="top" align="center">2</td>
<td valign="bottom" align="center">60</td>
<td valign="bottom" align="center">80</td>
<td valign="bottom" align="center">100</td>
</tr>
<tr>
<td valign="top" align="center">8</td>
<td valign="top" align="center">1</td>
<td valign="top" align="center">2</td>
<td valign="top" align="center">2</td>
<td valign="bottom" align="center">60</td>
<td valign="bottom" align="center">160</td>
<td valign="bottom" align="center">100</td>
</tr>
<tr>
<td valign="top" align="center">9</td>
<td valign="top" align="center">2</td>
<td valign="top" align="center">1</td>
<td valign="top" align="center">1</td>
<td valign="bottom" align="center">120</td>
<td valign="bottom" align="center">80</td>
<td valign="bottom" align="center">50</td>
</tr>
<tr>
<td valign="top" align="center">10</td>
<td valign="top" align="center">2</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">2</td>
<td valign="bottom" align="center">120</td>
<td valign="bottom" align="center">0</td>
<td valign="bottom" align="center">100</td>
</tr>
<tr>
<td valign="top" align="center">11</td>
<td valign="top" align="center">2</td>
<td valign="top" align="center">1</td>
<td valign="top" align="center">2</td>
<td valign="bottom" align="center">120</td>
<td valign="bottom" align="center">80</td>
<td valign="bottom" align="center">100</td>
</tr>
<tr>
<td valign="top" align="center">12</td>
<td valign="top" align="center">2</td>
<td valign="top" align="center">2</td>
<td valign="top" align="center">2</td>
<td valign="bottom" align="center">120</td>
<td valign="bottom" align="center">160</td>
<td valign="bottom" align="center">100</td>
</tr>
<tr>
<td valign="top" align="center">13</td>
<td valign="top" align="center">2</td>
<td valign="top" align="center">2</td>
<td valign="top" align="center">1</td>
<td valign="bottom" align="center">120</td>
<td valign="bottom" align="center">160</td>
<td valign="bottom" align="center">50</td>
</tr>
<tr>
<td valign="top" align="center">14</td>
<td valign="top" align="center">2</td>
<td valign="top" align="center">2</td>
<td valign="top" align="center">0</td>
<td valign="bottom" align="center">120</td>
<td valign="bottom" align="center">160</td>
<td valign="bottom" align="center">0</td>
</tr>
<tr>
<td valign="top" align="center">15</td>
<td valign="top" align="center">2</td>
<td valign="top" align="center">2</td>
<td valign="top" align="center">3</td>
<td valign="bottom" align="center">120</td>
<td valign="bottom" align="center">160</td>
<td valign="bottom" align="center">150</td>
</tr>
<tr>
<td valign="top" align="center">16</td>
<td valign="top" align="center">2</td>
<td valign="top" align="center">3</td>
<td valign="top" align="center">2</td>
<td valign="bottom" align="center">120</td>
<td valign="bottom" align="center">240</td>
<td valign="bottom" align="center">100</td>
</tr>
<tr>
<td valign="top" align="center">17</td>
<td valign="top" align="center">2</td>
<td valign="top" align="center">3</td>
<td valign="top" align="center">3</td>
<td valign="bottom" align="center">120</td>
<td valign="bottom" align="center">240</td>
<td valign="bottom" align="center">150</td>
</tr>
<tr>
<td valign="top" align="center">18</td>
<td valign="top" align="center">3</td>
<td valign="top" align="center">1</td>
<td valign="top" align="center">1</td>
<td valign="bottom" align="center">180</td>
<td valign="bottom" align="center">80</td>
<td valign="bottom" align="center">50</td>
</tr>
<tr>
<td valign="top" align="center">19</td>
<td valign="top" align="center">3</td>
<td valign="top" align="center">2</td>
<td valign="top" align="center">1</td>
<td valign="bottom" align="center">180</td>
<td valign="bottom" align="center">160</td>
<td valign="bottom" align="center">50</td>
</tr>
<tr>
<td valign="top" align="center">20</td>
<td valign="top" align="center">3</td>
<td valign="top" align="center">2</td>
<td valign="top" align="center">2</td>
<td valign="bottom" align="center">180</td>
<td valign="bottom" align="center">160</td>
<td valign="bottom" align="center">100</td>
</tr>
<tr>
<td valign="top" align="center">21</td>
<td valign="top" align="center">3</td>
<td valign="top" align="center">3</td>
<td valign="top" align="center">1</td>
<td valign="bottom" align="center">180</td>
<td valign="bottom" align="center">240</td>
<td valign="bottom" align="center">50</td>
</tr>
<tr>
<td valign="top" align="center">22</td>
<td valign="top" align="center">3</td>
<td valign="top" align="center">3</td>
<td valign="top" align="center">2</td>
<td valign="bottom" align="center">180</td>
<td valign="bottom" align="center">240</td>
<td valign="bottom" align="center">100</td>
</tr>
<tr>
<td valign="top" align="center">23</td>
<td valign="top" align="center">3</td>
<td valign="top" align="center">2</td>
<td valign="top" align="center">3</td>
<td valign="bottom" align="center">180</td>
<td valign="bottom" align="center">160</td>
<td valign="bottom" align="center">150</td>
</tr>
<tr>
<td valign="top" align="center">24</td>
<td valign="top" align="center">3</td>
<td valign="top" align="center">3</td>
<td valign="top" align="center">3</td>
<td valign="bottom" align="center">180</td>
<td valign="bottom" align="center">240</td>
<td valign="bottom" align="center">150</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>The SPAD (Soil-Plant Analysis Development) meter value, which serves as an indirect measure of chlorophyll content in the leaf, was recorded at 30, 60, and 90 days after sowing (DAS) and utilized to calculate the chlorophyll concentration. This measurement acts as a diagnostic tool for assessing the nitrogen status of crops.</p>
<sec id="s2_3_1">
<label>2.3.1</label>
<title>Principal component analysis</title>
<p>Principal component analysis (PCA), as described by <xref ref-type="bibr" rid="B59">Wold et&#xa0;al. (1987)</xref>, was employed to evaluate the potential impact of available soil nutrients, NPK fertilizers, and farmyard manures (FYM) on beetroot yield.</p>
</sec>
<sec id="s2_3_2">
<label>2.3.2</label>
<title>Computation of basic parameters</title>
<p>Making use of the data on root yield, nutrient uptake, presowing soil available nutrients, and applied fertilizer doses, the basic parameters viz., nutrient requirement (NR) and contributions of nutrients from soil (C<sub>s</sub>) and contributions of nutrients from fertilizers (C<sub>f</sub>) were calculated as outlined by (<xref ref-type="bibr" rid="B33">Ramamoorthy et&#xa0;al., 1967</xref>; <xref ref-type="bibr" rid="B56">Velayutham et&#xa0;al., 1985</xref>; <xref ref-type="bibr" rid="B20">Krishna Murthy et&#xa0;al., 2023</xref>; <xref ref-type="bibr" rid="B34">Rao and Srivastava, 2000</xref>) and contributions of nutrients from Farm Yard Manure (C<sub>fym</sub>) were estimated as described by (<xref ref-type="bibr" rid="B38">Santhi et&#xa0;al., 1999</xref>). The nutrient requirement, soil, fertilizer, and farmyard manure efficiencies were derived as discussed by (<xref ref-type="bibr" rid="B24">MaruthiSankar, 1986</xref>). The basic parameters, NR expressed in kg per quintal while, C<sub>s</sub>, C<sub>f</sub>, and C<sub>fym</sub>, expressed as a percentage.</p>
<disp-formula>
<mml:math display="block" id="M1">
<mml:mrow>
<mml:mtext>F</mml:mtext>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mtext>NR</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mtext>Cf</mml:mtext>
</mml:mrow>
</mml:mfrac>
<mml:mtext>Y</mml:mtext>
<mml:mo>&#x2212;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mtext>Cs</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mtext>Cf</mml:mtext>
</mml:mrow>
</mml:mfrac>
<mml:mtext>S</mml:mtext>
<mml:mo>&#x2212;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mtext>CYFM</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mtext>Cf</mml:mtext>
</mml:mrow>
</mml:mfrac>
<mml:mtext>FYM</mml:mtext>
</mml:mrow>
</mml:math>
</disp-formula>
<p>where F is fertilizer (kg ha<sup>-1</sup>), NR is nutrient requirement of N or P<sub>2</sub>O<sub>5</sub> or K<sub>2</sub>O kg q<sup>-1</sup> produce, Cs is percent contribution from soil, C<sub>f</sub>is percent contribution from fertilizer, C<sub>FYM</sub> is percent contribution from FYM, S is soil-test value for available N, P, or K (kg ha<sup>-1</sup>), Y is yield target (q ha<sup>-1</sup>), and FYM is farmyard manure (t ha<sup>-1</sup>).</p>
<p>The relationship among soil test values, crop yield, and fertilizer dosage was determined using standard regression techniques, as outlined by (<xref ref-type="bibr" rid="B13">Draper and Smith, 1998</xref>). The current research investigates the fluctuation in beetroot yield resulting from the use of various fertilizer dosages, with other factors of soil and crop management practices are kept steady.</p>
</sec>
</sec>
<sec id="s2_4">
<label>2.4</label>
<title>Validation experiment (phase III)</title>
<p>Third, a validation field trial was carried out in farmer&#x2019;s land in same soil series, using beetroot (Hybrid: Improved Crystal) to verify the STCR-IPNS model. Based on the survey of the potential yield of the hybrid in Nilgiris, three beet root yield targets were taken (35.00 t ha<sup>-1</sup>, 40.00 t ha<sup>-1</sup> and 45.00 t ha<sup>-1</sup>). This validation includes assessing the percentage achievement from the fixed target, beetroot yield, response ratio (RR), and economic comparisons with other fertilizer recommendation approaches such as the general fertilizer recommended dose, all within a RBD - randomized block design with three replication. Treatment consisted of T<sub>1</sub>-General fertilizer recommended dose (100% GFRD alone), T<sub>2</sub>-General fertilizer recommended dose (100% GFRD) + FYM @ 12.5 t ha<sup>-1</sup>, T<sub>3</sub>-STCR-Inorganic-TY<sub>1</sub> 35.00 <sub>t</sub> ha<sup>-1</sup>, T<sub>4</sub>-STCR-Inorganic-TY<sub>2</sub> 40.00 <sub>t</sub> ha<sup>-1</sup>, T<sub>5</sub> - STCR-Inorganic-TY<sub>3</sub> 45.00 <sub>t</sub> ha<sup>-1</sup>, T<sub>6</sub>-STCR-Integrated-TY<sub>1</sub> 35.00 <sub>t</sub> ha<sup>-1</sup>, T<sub>7</sub>-STCR-Integrated-TY<sub>2</sub> 40.00 <sub>t</sub> ha<sup>-1</sup> T<sub>8</sub>- STCR-Inorganic-TY<sub>3</sub> 45.00 <sub>t</sub> ha<sup>-1</sup>,T<sub>9</sub>- Farmer&#x2019;s fertilizer Practice (FFP), T<sub>10</sub>-Absolute control (untreated nutrients). Composite soil samples were taken from each plot at a depth of 0-5.90inch before initiating the experiment, following the layout plan. Fertilizer application for STCR treatments (T<sub>3</sub> to T<sub>8</sub>) was determined using STCR equations. The crop was cultivated according to standard crop production guide procedure, harvested at full maturity, and beetroot yields were computed based on the net plot area, expressed in tons per hectare (kg ha<sup>-1</sup>).</p>
<sec id="s2_4_1">
<label>2.4.1</label>
<title>Per cent achievement</title>
<disp-formula>
<mml:math display="block" id="M2">
<mml:mrow>
<mml:mtable>
<mml:mtr>
<mml:mtd columnalign="left">
<mml:mtext>Per&#xa0;cent&#xa0;achievement&#xa0;</mml:mtext>
</mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd columnalign="left">
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mtext>Yield&#xa0;obtained&#xa0;in&#xa0;the&#xa0;STCR&#xa0;treatment&#xa0;</mml:mtext>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:msup>
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<mml:mtext>kg&#xa0;or&#xa0;q&#xa0;ha</mml:mtext>
</mml:mrow>
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<mml:mo>&#x2013;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:mrow>
<mml:mrow>
<mml:mtext>Yield&#xa0;targeted&#xa0;</mml:mtext>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:msup>
<mml:mrow>
<mml:mtext>kg&#xa0;or&#xa0;q&#xa0;ha</mml:mtext>
</mml:mrow>
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<mml:mn>1</mml:mn>
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</mml:mrow>
</mml:mrow>
</mml:mfrac>
<mml:mo>&#xd7;</mml:mo>
<mml:mn>100</mml:mn>
</mml:mtd></mml:mtr></mml:mtable></mml:mrow>
</mml:math>
</disp-formula>
</sec>
<sec id="s2_4_2">
<label>2.4.2</label>
<title>Response ratio</title>
<disp-formula>
<mml:math display="block" id="M3">
<mml:mrow>
<mml:mtable>
<mml:mtr><mml:mtd columnalign="left">
<mml:mtext>Response&#xa0;ratio</mml:mtext>
</mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd columnalign="left">
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mtext>Response&#xa0;</mml:mtext>
<mml:mrow>
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<mml:mrow>
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<mml:mi>a</mml:mi>
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<mml:mn>1</mml:mn>
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</mml:mrow>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mtext>Quantities&#xa0;of&#xa0;fertiliser&#xa0;N, P</mml:mtext>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:msub>
<mml:mtext>O</mml:mtext>
<mml:mn>5</mml:mn>
</mml:msub>
<mml:msub>
<mml:mrow>
<mml:mtext>and&#xa0;K</mml:mtext>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:mtext>O&#xa0;applied&#xa0;</mml:mtext>
<mml:mrow>
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</mml:mtable></mml:mrow>
</mml:math>
</disp-formula>
</sec>
</sec>
</sec>
<sec id="s3" sec-type="results">
<label>3</label>
<title>Results</title>
<sec id="s3_1">
<label>3.1</label>
<title>Fertility gradient field trial</title>
<p>A fertility gradient field trial was carried out to introduce variation in soil available NPK status across the trial field. <xref ref-type="table" rid="T2">
<bold>Table&#xa0;2</bold>
</xref> illustrates the mean and range soil analysis values (STVs) for N, P<sub>2</sub>O<sub>5</sub>, and K<sub>2</sub>O, demonstrating the variation across fertility strips. Strip III exhibited the highest nutrient levels (467kg N, 213kg P<sub>2</sub>O<sub>5</sub>, and 620 kg K<sub>2</sub>O ha<sup>-1</sup> respectively) due to the use of maximum fertilizers, compared to strip I (409 kg N, 178kg P<sub>2</sub>O<sub>5</sub>, and 509 kg K<sub>2</sub>O ha<sup>-1</sup> respectively), and strip II (432 kg N, 194 kg phosphorus pentoxide (P<sub>2</sub>O<sub>5</sub>), and 550 kg potassium oxide (K<sub>2</sub>O) ha<sup>-1</sup> respectively). Biomass yield of gradient crop (<italic>Chenopodium album)</italic> was also highest in strip III with 27.69 t ha<sup>-1</sup>, compared to strip II (24.00 t ha<sup>-1</sup>) and strip I (12.00 t ha<sup>-1</sup>).</p>
<table-wrap id="T2" position="float">
<label>Table&#xa0;2</label>
<caption>
<p>Descriptive statistics of Green biomass yield available soil nutrients (0-15 cm), after the soil fertility gradient experiment.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" rowspan="2" align="center">Strips</th>
<th valign="top" rowspan="2" align="center"/>
<th valign="top" colspan="3" align="center">Soil available nutrients (kg ha<sup>-1</sup>)</th>
<th valign="middle" rowspan="2" align="center">Green Biomass yield (t ha<sup>-1</sup>)</th>
</tr>
<tr>
<th valign="top" align="center">Nitrogen</th>
<th valign="top" align="center">Phosphorus</th>
<th valign="top" align="center">Potassium</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="middle" rowspan="4" align="center">I</td>
<td valign="top" align="left">Range</td>
<td valign="top" align="center">395.00-424.00</td>
<td valign="top" align="center">170.40-184.94</td>
<td valign="top" align="center">487.62-532.46</td>
<td valign="top" align="center">11.82-12.36</td>
</tr>
<tr>
<td valign="top" align="left">Mean &#xb1; SD</td>
<td valign="top" align="center">409 &#xb1; 11.10</td>
<td valign="top" align="center">178 &#xb1; 4.94</td>
<td valign="top" align="center">509 &#xb1; 4.60</td>
<td valign="top" align="center">12 &#xb1; 0.05</td>
</tr>
<tr>
<td valign="top" align="left">(CV %)</td>
<td valign="top" align="center">2.70</td>
<td valign="top" align="center">2.77</td>
<td valign="top" align="center">2.56</td>
<td valign="top" align="center">1.33</td>
</tr>
<tr>
<td valign="top" align="left">Median</td>
<td valign="top" align="center">412.50</td>
<td valign="top" align="center">178.63</td>
<td valign="top" align="center">509.99</td>
<td valign="top" align="center">11.99</td>
</tr>
<tr>
<td valign="middle" rowspan="4" align="center">II</td>
<td valign="top" align="left">Range</td>
<td valign="top" align="center">423.36-449.28</td>
<td valign="top" align="center">186.03-199.48</td>
<td valign="top" align="center">544.00-559.24</td>
<td valign="top" align="center">23.44-25.10</td>
</tr>
<tr>
<td valign="top" align="left">Mean &#xb1; SD</td>
<td valign="top" align="center">432 &#xb1; 8.71</td>
<td valign="top" align="center">194 &#xb1; 4.29</td>
<td valign="top" align="center">550 &#xb1; 1.48</td>
<td valign="top" align="center">24 &#xb1; 0.17</td>
</tr>
<tr>
<td valign="top" align="left">(CV %)</td>
<td valign="top" align="center">2.01</td>
<td valign="top" align="center">2.20</td>
<td valign="top" align="center">0.76</td>
<td valign="top" align="center">0.41</td>
</tr>
<tr>
<td valign="top" align="left">Median</td>
<td valign="top" align="center">429.54</td>
<td valign="top" align="center">195.37</td>
<td valign="top" align="center">549.96</td>
<td valign="top" align="center">23.94</td>
</tr>
<tr>
<td valign="middle" rowspan="4" align="center">III</td>
<td valign="top" align="left">Range</td>
<td valign="top" align="center">445.00-482.00</td>
<td valign="top" align="center">209.00-224.00</td>
<td valign="top" align="center">610.08-639.84</td>
<td valign="top" align="center">27.35-29.28</td>
</tr>
<tr>
<td valign="top" align="left">Mean &#xb1; SD</td>
<td valign="top" align="center">467 &#xb1; 11.10</td>
<td valign="top" align="center">213 &#xb1; 4.62</td>
<td valign="top" align="center">620 &#xb1; 3.18</td>
<td valign="top" align="center">28 &#xb1; 0.27</td>
</tr>
<tr>
<td valign="top" align="left">(CV %)</td>
<td valign="top" align="center">2.37</td>
<td valign="top" align="center">2.16</td>
<td valign="top" align="center">1.45</td>
<td valign="top" align="center">0.64</td>
</tr>
<tr>
<td valign="top" align="left">Median</td>
<td valign="top" align="center">469.50</td>
<td valign="top" align="center">213.00</td>
<td valign="top" align="center">619.00</td>
<td valign="top" align="center">27.69</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>SD, standard deviation; CV (%), coefficient of variation (%).</p>
</fn>
<fn>
<p>Strip I, Untreated nutrient (control); Strip II, General recommendation of N recommended for <italic>Chenopodium album</italic>, while P<sub>2</sub>O<sub>5</sub> and K<sub>2</sub>O were applied based on soil fixing capacities of 250 and 100 kg ha<sup>-1</sup>, respectively; Strip III, Double the dose of fertilizers compared to Strip II.</p>
</fn>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="s3_2">
<label>3.2</label>
<title>Fertility strip variations influenced soil nutrient availability, beetroot yield, and nutrient uptake</title>
<p>The mean and range values of soil analysis results, nutrient uptake and beetroot yield for each strip is given in <xref ref-type="table" rid="T3">
<bold>Table&#xa0;3</bold>
</xref>. The pre-sowing soil analysis values for beetroot indicated that the mean KMnO<sub>4</sub>- available nitrogen (N) was found to be 416, 435, and 475 kg ha<sup>-1</sup> in strips I, II, and III, respectively. Similarly, the average pre-sowing soil analysis values for Bray-P were 184, 197, and 209 kg ha<sup>-1</sup> in strips I, II, and III, respectively. Pre-sowing soil analysis values for NH<sub>4</sub>OAc-K were 515, 552, and 620 kg ha<sup>-1</sup> in strips I, II, and III, respectively. The average values of KMnO<sub>4</sub>- available nitrogen (N), Bray-Phosphorus (P), and NH<sub>4</sub>OAc-available potassium (K) in inorganic treated plots were 442, 196, and 562 kg ha<sup>-1</sup>, respectively. In control plots, the average values of KMnO<sub>4</sub>- available nitrogen (N), Bray-Phosphorus (P), and NH<sub>4</sub>OAc-available potassium (K) were 438, 196, and 566 kg ha<sup>-1</sup>, respectively.</p>
<table-wrap id="T3" position="float">
<label>Table&#xa0;3</label>
<caption>
<p>Initial soil available NPK, as well as the yield and NPK uptake by beetroot, were recorded in various strips of the test crop experiment (kg ha<sup>-1</sup>).</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" rowspan="3" align="center">Parameters<break/>(kg ha<sup>-1</sup>)</th>
<th valign="middle" rowspan="2" colspan="2" align="center">Strip I</th>
<th valign="middle" rowspan="2" colspan="2" align="center">Strip II</th>
<th valign="middle" rowspan="2" colspan="2" align="center">Strip III</th>
<th valign="middle" colspan="4" align="center">Overall</th>
</tr>
<tr>
<th valign="middle" colspan="2" align="center">NPK treated</th>
<th valign="middle" colspan="2" align="center">Control (NPK)</th>
</tr>
<tr>
<th valign="middle" align="center">Range</th>
<th valign="middle" align="center">Mean</th>
<th valign="middle" align="center">Range</th>
<th valign="middle" align="center">Mean</th>
<th valign="middle" align="center">Range</th>
<th valign="middle" align="center">Mean</th>
<th valign="middle" align="center">Range</th>
<th valign="middle" align="center">Mean</th>
<th valign="middle" align="center">Range</th>
<th valign="middle" align="center">Mean</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="middle" align="center">KMnO<sub>4</sub>-N</td>
<td valign="middle" align="center">411-421</td>
<td valign="middle" align="center">416</td>
<td valign="middle" align="center">431-441</td>
<td valign="middle" align="center">435</td>
<td valign="middle" align="center">471-481</td>
<td valign="middle" align="center">475</td>
<td valign="middle" align="center">411-481</td>
<td valign="middle" align="center">442.33</td>
<td valign="middle" align="center">411-473</td>
<td valign="middle" align="center">438.89</td>
</tr>
<tr>
<td valign="middle" align="center">Bray-P</td>
<td valign="middle" align="center">182.3-186.2</td>
<td valign="middle" align="center">184.3</td>
<td valign="middle" align="center">195.2-200.0</td>
<td valign="middle" align="center">197.4</td>
<td valign="middle" align="center">207.1-211.5</td>
<td valign="middle" align="center">209.4</td>
<td valign="middle" align="center">182.3-211.5</td>
<td valign="middle" align="center">197.0</td>
<td valign="middle" align="center">182.2-210.0</td>
<td valign="middle" align="center">196.3</td>
</tr>
<tr>
<td valign="middle" align="center">NH<sub>4</sub>OAc-K</td>
<td valign="middle" align="center">510-519</td>
<td valign="middle" align="center">515</td>
<td valign="middle" align="center">547-557</td>
<td valign="middle" align="center">552</td>
<td valign="middle" align="center">615-625</td>
<td valign="middle" align="center">620</td>
<td valign="middle" align="center">510-625</td>
<td valign="middle" align="center">562.00</td>
<td valign="middle" align="center">517-625</td>
<td valign="middle" align="center">566.00</td>
</tr>
<tr>
<td valign="middle" align="center">Tuber Yield</td>
<td valign="middle" align="center">10040-50835</td>
<td valign="middle" align="center">33500</td>
<td valign="middle" align="center">15545-58045</td>
<td valign="middle" align="center">38950</td>
<td valign="middle" align="center">18311-61800</td>
<td valign="middle" align="center">44833</td>
<td valign="middle" align="center">18481-61800</td>
<td valign="middle" align="center">41951</td>
<td valign="middle" align="center">10040-28072</td>
<td valign="middle" align="center">19099</td>
</tr>
<tr>
<td valign="middle" align="center">N uptake</td>
<td valign="middle" align="center">64.5-191.0</td>
<td valign="middle" align="center">135.7</td>
<td valign="middle" align="center">89.3-205.1</td>
<td valign="middle" align="center">145.9</td>
<td valign="middle" align="center">93.3-210.1</td>
<td valign="middle" align="center">164.5</td>
<td valign="middle" align="center">83.15-210.19</td>
<td valign="middle" align="center">156.08</td>
<td valign="middle" align="center">64.5-112.6</td>
<td valign="middle" align="center">97.4</td>
</tr>
<tr>
<td valign="middle" align="center">P uptake</td>
<td valign="middle" align="center">12.9-69.9</td>
<td valign="middle" align="center">41.0</td>
<td valign="middle" align="center">21.3-83.1</td>
<td valign="middle" align="center">49.3</td>
<td valign="middle" align="center">23.5-85.1</td>
<td valign="middle" align="center">55.9</td>
<td valign="middle" align="center">22.94-85.04</td>
<td valign="middle" align="center">52.45</td>
<td valign="middle" align="center">12.9-28.5</td>
<td valign="middle" align="center">23.1</td>
</tr>
<tr>
<td valign="middle" align="center">K uptake</td>
<td valign="middle" align="center">99.5-161.0</td>
<td valign="middle" align="center">135.5</td>
<td valign="middle" align="center">123.5-175.2</td>
<td valign="middle" align="center">149.4</td>
<td valign="middle" align="center">125.4-220.2</td>
<td valign="middle" align="center">168.1</td>
<td valign="middle" align="center">108.03-220.22</td>
<td valign="middle" align="center">155.43</td>
<td valign="middle" align="center">99.5-138.4</td>
<td valign="middle" align="center">120.54</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>Strip I: Untreated nutrient (control); Strip II: General recommendation of N recommended for <italic>Chenopodium album</italic>, while P<sub>2</sub>O<sub>5</sub> and K<sub>2</sub>O were applied based on soil fixing capacities of 250 and 100 kg ha<sup>-1</sup>, respectively; Strip III: Double the dose of fertilizers compared to Strip II.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>In strip I, the beetroot yield varied from 10,040 to 50,835 kg ha<sup>-1</sup>, with a mean (average) of 33,500 kg ha<sup>-1</sup>; in strip II, it ranged from 15,545 to 58,045 kg ha<sup>-1</sup>, with average of 38,950 kg ha<sup>-1</sup>; and in strip III, it ranged from 18,311 to 61,800 kg ha<sup>-1</sup>, with average of 44,833 kg ha<sup>-1</sup>. The average beetroot yield in inorganic treated plots and untreated nutrient plots were 41,951 kg ha<sup>-1</sup> and 19,099 kg ha<sup>-1</sup>, respectively, representing a percentage increase of 119.65% over the control. The nutrient uptake data indicated variations in N uptake ranged from 64.5 to 210.1 kg ha<sup>-1</sup>, P uptake from 12.9 to 85.1 kg ha<sup>-1</sup>, and K uptake from 99.5 to 220.2 kg ha<sup>-1</sup> across strips I, II, and III, respectively. The overall average values of nitrogen (N), phosphorus (P), and potassium (K) uptake in inorganic treated plots were 156.0, 52.4, and 155.4 kg ha<sup>-1</sup>, respectively. Within the control plots, the overall mean values for nitrogen (N), phosphorus (P), and potassium (K) uptake were 97.4, 23.1, and 120.5 kg ha<sup>-1</sup>, respectively.</p>
</sec>
<sec id="s3_3">
<label>3.3</label>
<title>Potential of available nutrients, Nitrogen, Phosphorus, Potassium fertilizers, FYM in beetroot yield production</title>
<p>Principal component analysis (PCA) was conducted for each strip to analyze the relationship between beetroot yield production and various factors, including available soil nutrients, N,P,K uptake, applied NPK chemical fertilizers, and FYM. <xref ref-type="fig" rid="f4">
<bold>Figure&#xa0;4A</bold>
</xref> presents the PCA plot illustrating the variables and observations for all strips. The PCA explained an average cumulative variability of 60.80% in beetroot production across all strips. This variability was attributed to 24 distinct combinations of NPK and FYM treatments under varying soil fertility variation. PCA analysis showed that among the variables assessed, application of NPK mineral fertilizer, NPK nutrient uptake, and organic manure (FYM) were consistently located orthogonally in the positive (+) quadrant (PC1 and PC2) across all strips. This positioning indicates that these variables made a significant positive (+) contribution to beetroot yield production.</p>
<fig id="f4" position="float">
<label>Figure&#xa0;4</label>
<caption>
<p>
<bold>(A)</bold> Principle component analysis plots of overall relating the beetroot yield and the active variables. (i) Scoring plot showing the positions of each treatment. (ii) Loading plot showing the orthogonal positions of variable (Soil available nutrient (kg ha<sup>-1</sup>), NPK fertilizer (kg ha<sup>-1</sup>), FYM application (t ha<sup>-1</sup>), and NPK uptake by plant (kg ha<sup>-1</sup>). <bold>(B)</bold> Principle component analysis plots of strip 1 relating the beetroot yield and the active variables. (i) Scoring plot showing the positions of each treatment. (ii) Loading plot showing the orthogonal positions of variable [Soil available nutrient (kg ha<sup>-1</sup>), NPK fertilizer (kg ha<sup>-1</sup>), FYM application (t ha<sup>-1</sup>), and NPK uptake by plant (kg ha<sup>-1</sup>)]. <bold>(C)</bold> Principle component analysis plots of strip 2 relating the beetroot yield and the active variables. (i) Scoring plot showing the positions of each treatment. (ii) Loading plot showing the orthogonal positions of variable [Soil available nutrient (kg ha<sup>-1</sup>), NPK fertilizer (kg ha<sup>-1</sup>), FYM application (t ha<sup>-1</sup>), and NPK uptake by plant (kg ha<sup>-1</sup>)]. <bold>(D)</bold> Principle component analysis plots of strip 3 relating the beetroot yield and the active variables. (i) Scoring plot showing the positions of each treatment. (ii) Loading plot showing the orthogonal positions of variable [Soil available nutrient (kg ha<sup>-1</sup>), NPK fertilizer (kg ha<sup>-1</sup>), FYM application (t ha<sup>-1</sup>), and NPK uptake by plant (kg ha<sup>-1</sup>)].</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fpls-15-1481882-g004.tif"/>
</fig>
<p>PCA showed that PC1 of strip 1 comprised for 46.5% of the total cumulative variability. PCA analysis indicated that all evaluated variables were located orthogonally in the positive (+) quadrant (PC1 and PC2) (<xref ref-type="fig" rid="f4">
<bold>Figure&#xa0;4B</bold>
</xref>). Likewise, in strip 2 [available soil potassium (K)] and Strip 3 [available soil nitrogen (N) and potassium (K)], these variables were found in the negative (-) quadrant. This positioning may indicate lower nutrient contributions from the higher gradient soil towards beetroot yield.</p>
<p>In relation to those plots, the optimal sets of potential treatments were located in the &#x201c;high&#x201d; (+,+) quadrant and &#x201c;moderate&#x201d; (+,-) quadrants of the PCA plot (<xref ref-type="fig" rid="f4">
<bold>Figures&#xa0;4C, D</bold>
</xref>). Conversely, the treatment that exhibited lower potential in beetroot production revealed negative (-) correlation with the variables and was positioned in the &#x201c;low&#x201d; (-,-) and (-,+) quadrants.</p>
<p>Multiple regression equations were derived using variable as an independent variable (UN,UP,UK,SN,SP,SK,FN,FP<sub>2</sub>O<sub>5</sub>,FK<sub>2</sub>O,FYM) and the dependent variable yield was derived for each strip separately and as a whole. The relationship between yield and the variables was determined as follows:</p>
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<mml:mo>=</mml:mo>
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<mml:mo>+</mml:mo>
<mml:mo stretchy="false">(</mml:mo>
<mml:mn>0.509</mml:mn>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>U</mml:mi>
<mml:mi>N</mml:mi>
<mml:mo stretchy="false">)</mml:mo>
<mml:mo>+</mml:mo>
<mml:mo stretchy="false">(</mml:mo>
<mml:mn>2.605</mml:mn>
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<mml:mi>U</mml:mi>
<mml:mi>P</mml:mi>
<mml:mo stretchy="false">)</mml:mo>
<mml:mo>+</mml:mo>
<mml:mo stretchy="false">(</mml:mo>
<mml:mn>0.111</mml:mn>
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<mml:mi>U</mml:mi>
<mml:mi>K</mml:mi>
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</mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd columnalign="left">
<mml:mo>&#x2212;</mml:mo>
<mml:mo stretchy="false">(</mml:mo>
<mml:mn>0.336</mml:mn>
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<mml:mi>S</mml:mi>
<mml:mi>N</mml:mi>
<mml:mo stretchy="false">)</mml:mo>
<mml:mo>+</mml:mo>
<mml:mo stretchy="false">(</mml:mo>
<mml:mn>1.603</mml:mn>
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<mml:mi>S</mml:mi>
<mml:mi>P</mml:mi>
<mml:mo stretchy="false">)</mml:mo>
<mml:mo stretchy="false">(</mml:mo>
<mml:mn>1.155</mml:mn>
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<mml:mi>S</mml:mi>
<mml:mi>K</mml:mi>
<mml:mo stretchy="false">)</mml:mo>
<mml:mo>+</mml:mo>
<mml:mo stretchy="false">(</mml:mo>
<mml:mn>0.683</mml:mn>
</mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd columnalign="left">
<mml:mo>&#xd7;</mml:mo>
<mml:mi>F</mml:mi>
<mml:mi>N</mml:mi>
<mml:mo stretchy="false">)</mml:mo>
<mml:mo>+</mml:mo>
<mml:mo stretchy="false">(</mml:mo>
<mml:mn>0.141</mml:mn>
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<mml:mi>P</mml:mi>
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<mml:mn>5</mml:mn>
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<mml:mo stretchy="false">)</mml:mo>
<mml:mo>+</mml:mo>
<mml:mo stretchy="false">(</mml:mo>
<mml:mn>0.176</mml:mn>
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<mml:mi>F</mml:mi>
<mml:msub>
<mml:mi>K</mml:mi>
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<mml:mi>O</mml:mi>
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<mml:mo>+</mml:mo>
<mml:mo stretchy="false">(</mml:mo>
<mml:mn>1.851</mml:mn>
</mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd columnalign="left">
<mml:mo>&#xd7;</mml:mo>
<mml:mi>F</mml:mi>
<mml:mi>Y</mml:mi>
<mml:mi>M</mml:mi>
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</mml:mtr>
</mml:mtable>
</mml:mrow>
</mml:math>
</disp-formula>
<disp-formula id="eq4">
<label>(4)</label>
<mml:math display="block" id="M7">
<mml:mrow>
<mml:mtable>
<mml:mtr>
<mml:mtd columnalign="left">
<mml:mstyle mathvariant="bold" mathsize="normal">
<mml:mi>Y</mml:mi>
<mml:mi>i</mml:mi>
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<mml:mtext>&#xa0;</mml:mtext>
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</mml:mtr>
<mml:mtr>
<mml:mtd columnalign="left">
<mml:mo>=</mml:mo>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>211.45</mml:mn>
<mml:mo>+</mml:mo>
<mml:mo stretchy="false">(</mml:mo>
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<mml:mo stretchy="false">)</mml:mo>
<mml:mo>+</mml:mo>
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<mml:mn>0.643</mml:mn>
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<mml:mi>U</mml:mi>
<mml:mi>K</mml:mi>
<mml:mo stretchy="false">)</mml:mo>
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<mml:mtr>
<mml:mtd columnalign="left">
<mml:mo>&#x2212;</mml:mo>
<mml:mo stretchy="false">(</mml:mo>
<mml:mn>0.892</mml:mn>
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<mml:mi>S</mml:mi>
<mml:mi>N</mml:mi>
<mml:mo stretchy="false">)</mml:mo>
<mml:mo>+</mml:mo>
<mml:mo stretchy="false">(</mml:mo>
<mml:mn>0.582</mml:mn>
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<mml:mi>S</mml:mi>
<mml:mi>P</mml:mi>
<mml:mo stretchy="false">)</mml:mo>
<mml:mo>+</mml:mo>
<mml:mo stretchy="false">(</mml:mo>
<mml:mn>0.816</mml:mn>
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<mml:mi>K</mml:mi>
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<mml:mo>+</mml:mo>
<mml:mo stretchy="false">(</mml:mo>
<mml:mn>0.679</mml:mn>
</mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd columnalign="left">
<mml:mo>&#xd7;</mml:mo>
<mml:mi>F</mml:mi>
<mml:mi>N</mml:mi>
<mml:mo stretchy="false">)</mml:mo>
<mml:mo>+</mml:mo>
<mml:mo stretchy="false">(</mml:mo>
<mml:mn>0.183</mml:mn>
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<mml:mi>P</mml:mi>
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<mml:mo stretchy="false">(</mml:mo>
<mml:mn>0.168</mml:mn>
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<mml:mn>3.026</mml:mn>
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</mml:mtr>
<mml:mtr>
<mml:mtd columnalign="left">
<mml:mo>&#xd7;</mml:mo>
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</disp-formula>
<p>The coefficient of determination (R&#xb2;) values were &#x2265;0.97 for each strip, as well as for the overall strip collectively. The results from multiple regression equations served as corroborating data for the PCA analysis.</p>
</sec>
<sec id="s3_4">
<label>3.4</label>
<title>Chlorophyll content</title>
<p>The SPAD meter data ranged from 14.5 to 42.6 at 30 DAS, 24.0 to 55.9 at 60 DAS, and 29.6 to 61.9 at 90 DAS. The data indicated a gradual upward trend in chlorophyll content, with the mean values rising from 27.73 at 30 DAS to 45.51 at 90 DAS (<xref ref-type="fig" rid="f5">
<bold>Figures&#xa0;5A-C</bold>
</xref>).</p>
<fig id="f5" position="float">
<label>Figure&#xa0;5</label>
<caption>
<p>
<bold>(A)</bold> SPAD value at 30 day&#x2019;s after sowing. <bold>(B)</bold> SPAD value at 60 day&#x2019;s after sowing. <bold>(C)</bold> SPAD value at 90 day&#x2019;s after sowing.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fpls-15-1481882-g005.tif"/>
</fig>
</sec>
<sec id="s3_5">
<label>3.5</label>
<title>Basic parameters</title>
<p>In the targeted yield model, the basic parameters were computed using data on beetroot yield, initial soil analysis values, NPK uptake and the amounts of applied N, P<sub>2</sub>O<sub>5</sub>, and K<sub>2</sub>O. The basic parameters for developing fertilizer prescription equations for beetroot are (i) nutrient requirement in kg per quintal of beetroot (NR) and percentage contributions from soil-available nutrients (C<sub>s</sub>), fertilizer nutrients (C<sub>f</sub>), and Farm yard manure (C<sub>fym</sub>) are given in <xref ref-type="table" rid="T4">
<bold>Table&#xa0;4</bold>
</xref>.</p>
<table-wrap id="T4" position="float">
<label>Table&#xa0;4</label>
<caption>
<p>Nutrient requirement and contributions of nutrients from soil, fertilizer, and FYM for beetroot.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="top" rowspan="2" align="left">Parameters</th>
<th valign="top" colspan="3" align="center">Nutrients</th>
</tr>
<tr>
<th valign="middle" align="center">N</th>
<th valign="middle" align="center">P<sub>2</sub>O<sub>5</sub>
</th>
<th valign="middle" align="center">K<sub>2</sub>O</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">Nutrient requirement (kg q<sup>-1</sup>)</td>
<td valign="middle" align="center">0.38</td>
<td valign="middle" align="center">0.29</td>
<td valign="middle" align="center">0.46</td>
</tr>
<tr>
<td valign="top" align="left">Per cent contribution from soil (C<sub>s</sub>) (%)</td>
<td valign="middle" align="center">20.25</td>
<td valign="middle" align="center">11.02</td>
<td valign="middle" align="center">19.67</td>
</tr>
<tr>
<td valign="top" align="left">Per cent contribution from fertilizers (C<sub>f</sub>) (%)</td>
<td valign="middle" align="center">55.16</td>
<td valign="middle" align="center">46.62</td>
<td valign="middle" align="center">56.62</td>
</tr>
<tr>
<td valign="top" align="left">Per cent contribution from FYM (C<sub>fym</sub>) (%)</td>
<td valign="middle" align="center">34.40</td>
<td valign="middle" align="center">17.46</td>
<td valign="middle" align="center">29.65</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="s3_6">
<label>3.6</label>
<title>Nutrient requirement</title>
<p>The nutrient requirement (NR) is defined as the amount of nutrient needed to produce a single unit of economic yield. To produce 100 kg of beetroot yield, the required amounts of nutrients were found to be 0.38 kg of N, 0.29 kg of P<sub>2</sub>O<sub>5</sub>, and 0.46 kg of K<sub>2</sub>O (<xref ref-type="fig" rid="f6">
<bold>Figure&#xa0;6</bold>
</xref>).</p>
<fig id="f6" position="float">
<label>Figure&#xa0;6</label>
<caption>
<p>Nutrient requirement (kg q<sup>-1</sup>) of N, P<sub>2</sub>O<sub>5</sub> and K<sub>2</sub>O for Beetroot.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fpls-15-1481882-g006.tif"/>
</fig>
</sec>
<sec id="s3_7">
<label>3.7</label>
<title>Percentage contributions of nutrients from soil, fertilizers, and farm yard manure to total uptake</title>
<p>The soil&#x2019;s available nutrient contribution (Cs) was reported as 20.25% for N, 11.02% for P<sub>2</sub>O<sub>5</sub>, and 19.67% for K<sub>2</sub>O. The percentage contribution of N, P<sub>2</sub>O<sub>5</sub>, and K<sub>2</sub>O from fertilizers (C<sub>f</sub>) was 55.16, 46.62, and 56.62, respectively, following the order of K<sub>2</sub>O &gt; N &gt; P<sub>2</sub>O<sub>5</sub>. The organic manure (FYM) contribution (C<sub>fym</sub>) was recorded as 34.40% for N, 17.46% for P<sub>2</sub>O<sub>5</sub> and 29.65% for K<sub>2</sub>O, respectively (<xref ref-type="table" rid="T4">
<bold>Table&#xa0;4</bold>
</xref>).</p>
</sec>
<sec id="s3_8">
<label>3.8</label>
<title>Fertilizer prescription equations</title>
<p>The beetroot yield target model was developed based on basic parameters.</p>
<p>
<bold>STCR-Inorganic&#xa0;equation</bold>
</p>
<disp-formula id="eq5">
<label>(5)</label>
<mml:math display="block" id="M8">
<mml:mrow>
<mml:mo>&#xa0;</mml:mo>
<mml:mtext>FN&#xa0;</mml:mtext>
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<mml:mn>0.37</mml:mn>
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<mml:mtext>KMnO</mml:mtext>
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</mml:mrow>
</mml:mrow>
</mml:math>
</disp-formula>
<disp-formula id="eq6">
<label>(6)</label>
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<mml:mn>2</mml:mn>
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<mml:mn>0.61</mml:mn>
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<mml:mn>0.54</mml:mn>
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</mml:mrow>
</mml:mrow>
</mml:math>
</disp-formula>
<disp-formula id="eq7">
<label>(7)</label>
<mml:math display="block" id="M10">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mtext>FK</mml:mtext>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msub>
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</mml:mrow>
</mml:math>
</disp-formula>
<p>
<bold>STCR-IPNS equation</bold>
</p>
<disp-formula id="eq8">
<label>(8)</label>
<mml:math display="block" id="M11">
<mml:mrow>
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<mml:mn>4</mml:mn>
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</mml:mrow>
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</mml:mrow>
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</mml:mrow>
</mml:math>
</disp-formula>
<disp-formula id="eq9">
<label>(9)</label>
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<mml:mrow>
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<mml:mrow>
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</mml:mrow>
<mml:mn>2</mml:mn>
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<mml:mn>5</mml:mn>
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<mml:mo>&#x2212;</mml:mo>
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</mml:mrow>
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</disp-formula>
<disp-formula id="eq10">
<label>(10)</label>
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<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mtext>FK</mml:mtext>
</mml:mrow>
<mml:mn>2</mml:mn>
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<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mtext>Am.&#xa0;Ace</mml:mtext>
<mml:mo>.</mml:mo>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mtext>K</mml:mtext>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:mtext>O</mml:mtext>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>0.63</mml:mn>
<mml:mtext>&#xa0;OK</mml:mtext>
</mml:mrow>
</mml:math>
</disp-formula>
<p>where FN, FP<sub>2</sub>O<sub>5</sub>, and FK<sub>2</sub>O are fertilizer N, P<sub>2</sub>O<sub>5</sub>, and K<sub>2</sub>O in kg ha<sup>-1</sup>, respectively; T is the yield target in q ha<sup>-1</sup>; SN, SP, and SK are available soil nutrients as KMnO<sub>4</sub>-N, Bray&#x2019;s-P<sub>2</sub>O<sub>5</sub>, and NH<sub>4</sub>OAc-K<sub>2</sub>O in kg ha<sup>-1</sup>, respectively, and ON, OP, and OK are the quantities of Nitrogen, Phosphorus, and Potassium supplied through farmyard manure in kg ha<sup>-1</sup>
</p>
</sec>
<sec id="s3_9">
<label>3.9</label>
<title>Fertilizer prescription under integrated for desired yield target of beetroot</title>
<p>A readily available table was developed according to these equations for diverse soil test values and a yield target of 400 q ha<sup>-1</sup> (<xref ref-type="table" rid="T5">
<bold>Table&#xa0;5</bold>
</xref>). The findings clearly revealed that the fertilizer requirements for N, P<sub>2</sub>O<sub>5</sub>, and K<sub>2</sub>O decreased as soil analysis values increased.To attain a yield goal of 400 q ha<sup>-1</sup> of beetroot with soil analysis values of 400 kg ha<sup>-1</sup> for KMnO<sub>4</sub>-N, 180 kg ha<sup>-1</sup> for Bray P, and 520 kg ha<sup>-1</sup>for NH<sub>4</sub>OAc-K, the required fertilizer doses were 128 kg ha<sup>-1</sup>of N, 147 kg ha<sup>-1</sup>of P<sub>2</sub>O<sub>5</sub>, and 110 kg ha<sup>-1</sup>of K<sub>2</sub>O, respectively. When farmyard manure (containing 26% moisture and 0.56%, 0.23%, and 0.47% of N, P, and K, respectively) was applied at a rate of 12.5 t ha<sup>-1</sup>, along with NPK, the required fertilizer doses were 91 kg ha<sup>-1</sup> of N, 121 kg ha<sup>-1</sup>of P<sub>2</sub>O<sub>5</sub>, and 76 kg ha<sup>-1</sup>of K<sub>2</sub>O, respectively. Under IPNS, the savings in fertilizer were 18 kg ha<sup>-1</sup>of N, 13 kg ha<sup>-1</sup>of P<sub>2</sub>O<sub>5</sub>, and 17 kg ha<sup>-1</sup>of K<sub>2</sub>O when using NPK plus FYM at 6.25 t ha<sup>-1</sup>, and 37 kg ha<sup>-1</sup>of N, 26 kg ha<sup>-1</sup>of P<sub>2</sub>O<sub>5</sub>, and 34 kg ha<sup>-1</sup>of K<sub>2</sub>O when using NPK plus farmyard manure at 12 t ha<sup>-1</sup>, respectively.</p>
<table-wrap id="T5" position="float">
<label>Table&#xa0;5</label>
<caption>
<p>Reduction of inorganic fertilizers when soil-test-based fertilizer prescription under integrated (IPNS) for 400 q ha<sup>-1</sup> target yield of beetroot (kg ha<sup>-1</sup>).</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="top" align="center">Parameter</th>
<th valign="top" align="center">NPK alone<break/>(kg ha<sup>-1</sup>)</th>
<th valign="top" align="center">NPK+FYM<break/>@6.25 t ha<sup>-1</sup>
</th>
<th valign="top" align="center">Reduction over NPK alone (%)</th>
<th valign="top" align="center">NPK+FYM<break/>@12.5 t ha<sup>-1</sup>
</th>
<th valign="top" align="center">Reduction over NPK alone (%)</th>
</tr>
</thead>
<tbody>
<tr>
<th valign="top" colspan="6" align="left">KMnO<sub>4</sub>-N (kg ha<sup>-1</sup>)</th>
</tr>
<tr>
<td valign="top" align="center">400</td>
<td valign="top" align="center">128</td>
<td valign="top" align="center">110</td>
<td valign="top" align="center">14.1</td>
<td valign="top" align="center">91</td>
<td valign="top" align="center">28.9</td>
</tr>
<tr>
<td valign="top" align="center">420</td>
<td valign="top" align="center">121</td>
<td valign="top" align="center">102</td>
<td valign="top" align="center">15.7</td>
<td valign="top" align="center">84</td>
<td valign="top" align="center">30.6</td>
</tr>
<tr>
<td valign="top" align="center">440</td>
<td valign="top" align="center">113</td>
<td valign="top" align="center">95</td>
<td valign="top" align="center">15.9</td>
<td valign="top" align="center">77</td>
<td valign="top" align="center">31.9</td>
</tr>
<tr>
<td valign="top" align="center">460</td>
<td valign="top" align="center">106</td>
<td valign="top" align="center">88</td>
<td valign="top" align="center">17.0</td>
<td valign="top" align="center">69</td>
<td valign="top" align="center">34.9</td>
</tr>
<tr>
<td valign="top" align="center">480</td>
<td valign="top" align="center">98</td>
<td valign="top" align="center">80</td>
<td valign="top" align="center">18.4</td>
<td valign="top" align="center">62</td>
<td valign="top" align="center">36.7</td>
</tr>
<tr>
<td valign="top" align="center">500</td>
<td valign="top" align="center">91</td>
<td valign="top" align="center">73</td>
<td valign="top" align="center">19.8</td>
<td valign="top" align="center">60*</td>
<td valign="top" align="center">34.1</td>
</tr>
<tr>
<th valign="top" colspan="6" align="left">Bray-P (kg ha<sup>-1</sup>)</th>
</tr>
<tr>
<td valign="top" align="center">180</td>
<td valign="top" align="center">147</td>
<td valign="top" align="center">134</td>
<td valign="top" align="center">8.8</td>
<td valign="top" align="center">121</td>
<td valign="top" align="center">17.7</td>
</tr>
<tr>
<td valign="top" align="center">190</td>
<td valign="top" align="center">141</td>
<td valign="top" align="center">128</td>
<td valign="top" align="center">9.2</td>
<td valign="top" align="center">115</td>
<td valign="top" align="center">18.4</td>
</tr>
<tr>
<td valign="top" align="center">200</td>
<td valign="top" align="center">136</td>
<td valign="top" align="center">123</td>
<td valign="top" align="center">9.6</td>
<td valign="top" align="center">110</td>
<td valign="top" align="center">19.1</td>
</tr>
<tr>
<td valign="top" align="center">210</td>
<td valign="top" align="center">131</td>
<td valign="top" align="center">118</td>
<td valign="top" align="center">9.9</td>
<td valign="top" align="center">104</td>
<td valign="top" align="center">20.6</td>
</tr>
<tr>
<td valign="top" align="center">220</td>
<td valign="top" align="center">125</td>
<td valign="top" align="center">112</td>
<td valign="top" align="center">10.4</td>
<td valign="top" align="center">99</td>
<td valign="top" align="center">20.8</td>
</tr>
<tr>
<td valign="top" align="center">230</td>
<td valign="top" align="center">120</td>
<td valign="top" align="center">107</td>
<td valign="top" align="center">18.8</td>
<td valign="top" align="center">94</td>
<td valign="top" align="center">21.7</td>
</tr>
<tr>
<th valign="top" colspan="6" align="left">NH<sub>4</sub>OAc-K (kg ha<sup>-1</sup>)</th>
</tr>
<tr>
<td valign="top" align="center">520</td>
<td valign="top" align="center">110</td>
<td valign="top" align="center">93</td>
<td valign="top" align="center">15.5</td>
<td valign="top" align="center">76</td>
<td valign="top" align="center">30.9</td>
</tr>
<tr>
<td valign="top" align="center">540</td>
<td valign="top" align="center">101</td>
<td valign="top" align="center">84</td>
<td valign="top" align="center">16.8</td>
<td valign="top" align="center">68</td>
<td valign="top" align="center">32.7</td>
</tr>
<tr>
<td valign="top" align="center">560</td>
<td valign="top" align="center">93</td>
<td valign="top" align="center">76</td>
<td valign="top" align="center">18.3</td>
<td valign="top" align="center">59</td>
<td valign="top" align="center">36.6</td>
</tr>
<tr>
<td valign="top" align="center">580</td>
<td valign="top" align="center">84</td>
<td valign="top" align="center">68</td>
<td valign="top" align="center">19.0</td>
<td valign="top" align="center">51</td>
<td valign="top" align="center">39.3</td>
</tr>
<tr>
<td valign="top" align="center">600</td>
<td valign="top" align="center">76</td>
<td valign="top" align="center">59</td>
<td valign="top" align="center">22.4</td>
<td valign="top" align="center">50*</td>
<td valign="top" align="center">34.2</td>
</tr>
<tr>
<td valign="top" align="center">620</td>
<td valign="top" align="center">68</td>
<td valign="top" align="center">51</td>
<td valign="top" align="center">25.0</td>
<td valign="top" align="center">50*</td>
<td valign="top" align="center">26.5</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="s3_10">
<label>3.10</label>
<title>Validation experiment</title>
<sec id="s3_10_1">
<label>3.10.1</label>
<title>Beetroot yield</title>
<p>In our research, notable variation in beetroot yield was recorded across various treatments, lowest yield being 24.96 t ha<sup>-1</sup> in the absolute control (untreated nutrient) to 43.60t ha<sup>-1</sup>, the highest yield, achieved by the STCR- integrated (IPNS)-45.00 t ha<sup>-1</sup> treatment, as outlined in <xref ref-type="table" rid="T6">
<bold>Table&#xa0;6</bold>
</xref>, exceeding all other treatments.</p>
<table-wrap id="T6" position="float">
<label>Table&#xa0;6</label>
<caption>
<p>Influence of different approaches of nutrient recommendations on yield, per cent achievement, Response Ratio (RR) and Benefit Cost ratio of beetroot crop.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" rowspan="2" align="left">S.No</th>
<th valign="middle" rowspan="2" align="left">Treatments</th>
<th valign="middle" rowspan="2" align="center">FYM<break/>(t ha<sup>-1</sup>)</th>
<th valign="middle" colspan="3" align="center">Fertilizer doses<break/>(kg ha<sup>-1</sup>)</th>
<th valign="middle" rowspan="2" align="center">Beetroot Yield<break/>(t ha<sup>-1</sup>)</th>
<th valign="middle" rowspan="2" align="center">Per cent achievement</th>
<th valign="middle" rowspan="2" align="center">RR<break/>(kg kg<sup>-1</sup>)</th>
<th valign="middle" rowspan="2" align="center">BCR</th>
</tr>
<tr>
<th valign="middle" align="center">FN</th>
<th valign="middle" align="center">FP<sub>2</sub>O<sub>5</sub>
</th>
<th valign="middle" align="center">FK<sub>2</sub>O</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="middle" align="left">1</td>
<td valign="middle" align="center">T<sub>1</sub>
</td>
<td valign="middle" align="center">&#x2013;</td>
<td valign="middle" align="center">120</td>
<td valign="middle" align="center">160</td>
<td valign="middle" align="center">100</td>
<td valign="middle" align="center">28.45</td>
<td valign="middle" align="center">&#x2013;</td>
<td valign="middle" align="center">9.19</td>
<td valign="middle" align="right">2.35</td>
</tr>
<tr>
<td valign="middle" align="left">2</td>
<td valign="middle" align="center">T<sub>2</sub>
</td>
<td valign="middle" align="center">12.5</td>
<td valign="middle" align="center">120</td>
<td valign="middle" align="center">160</td>
<td valign="middle" align="center">100</td>
<td valign="middle" align="center">29.46</td>
<td valign="middle" align="center">&#x2013;</td>
<td valign="middle" align="center">11.85</td>
<td valign="middle" align="right">2.41</td>
</tr>
<tr>
<td valign="middle" align="left">3</td>
<td valign="middle" align="center">T<sub>3</sub>
</td>
<td valign="middle" align="center">&#x2013;</td>
<td valign="middle" align="center">123</td>
<td valign="middle" align="center">141</td>
<td valign="middle" align="center">89</td>
<td valign="middle" align="center">35.45</td>
<td valign="middle" align="center">101.3</td>
<td valign="middle" align="center">29.72</td>
<td valign="middle" align="right">2.42</td>
</tr>
<tr>
<td valign="middle" align="left">4</td>
<td valign="middle" align="center">T<sub>4</sub>
</td>
<td valign="middle" align="center">&#x2013;</td>
<td valign="middle" align="center">172</td>
<td valign="middle" align="center">201</td>
<td valign="middle" align="center">128</td>
<td valign="middle" align="center">39.40</td>
<td valign="middle" align="center">98.5</td>
<td valign="middle" align="center">28.81</td>
<td valign="middle" align="right">2.53</td>
</tr>
<tr>
<td valign="middle" align="left">5</td>
<td valign="middle" align="center">T<sub>5</sub>
</td>
<td valign="middle" align="center">&#x2013;</td>
<td valign="middle" align="center">180**</td>
<td valign="middle" align="center">240**</td>
<td valign="middle" align="center">150**</td>
<td valign="middle" align="center">43.42</td>
<td valign="middle" align="center">96.5</td>
<td valign="middle" align="center">32.39</td>
<td valign="middle" align="right">2.63</td>
</tr>
<tr>
<td valign="middle" align="left">6</td>
<td valign="middle" align="center">T<sub>6</sub>
</td>
<td valign="middle" align="center">12.5</td>
<td valign="middle" align="center">91</td>
<td valign="middle" align="center">114</td>
<td valign="middle" align="center">50*</td>
<td valign="middle" align="center">36.22</td>
<td valign="middle" align="center">103.5</td>
<td valign="middle" align="center">44.16</td>
<td valign="middle" align="right">2.44</td>
</tr>
<tr>
<td valign="middle" align="left">7</td>
<td valign="middle" align="center">T<sub>7</sub>
</td>
<td valign="middle" align="center">12.5</td>
<td valign="middle" align="center">140</td>
<td valign="middle" align="center">174</td>
<td valign="middle" align="center">77</td>
<td valign="middle" align="center">40.36</td>
<td valign="middle" align="center">100.9</td>
<td valign="middle" align="center">39.37</td>
<td valign="middle" align="right">2.55</td>
</tr>
<tr>
<td valign="middle" align="left">8</td>
<td valign="middle" align="center">T<sub>8</sub>
</td>
<td valign="middle" align="center">12.5</td>
<td valign="middle" align="center">180**</td>
<td valign="middle" align="center">233</td>
<td valign="middle" align="center">116</td>
<td valign="middle" align="center">43.60</td>
<td valign="middle" align="center">96.9</td>
<td valign="middle" align="center">35.24</td>
<td valign="middle" align="right">2.66</td>
</tr>
<tr>
<td valign="middle" align="left">9</td>
<td valign="middle" align="center">T<sub>9</sub>
</td>
<td valign="middle" align="center">&#x2013;</td>
<td valign="middle" align="center">100</td>
<td valign="middle" align="center">120</td>
<td valign="middle" align="center">80</td>
<td valign="middle" align="center">26.42</td>
<td valign="middle" align="center">&#x2013;</td>
<td valign="middle" align="center">4.86</td>
<td valign="middle" align="right">1.74</td>
</tr>
<tr>
<td valign="middle" align="left">10</td>
<td valign="middle" align="center">T<sub>10</sub>
</td>
<td valign="middle" align="center">&#x2013;</td>
<td valign="middle" align="center">0</td>
<td valign="middle" align="center">0</td>
<td valign="middle" align="center">0</td>
<td valign="middle" align="center">24.96</td>
<td valign="middle" align="center">&#x2013;</td>
<td valign="middle" align="center">&#x2013;</td>
<td valign="middle" align="right">1.38</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>*Maintenance dose **maximum dose.</p>
</fn>
<fn>
<p>T<sub>1</sub>-General fertilizer recommended dose (100% GFRD alone), T<sub>2</sub>-General fertilizer recommended dose (100% GFRD) + FYM @ 12.5 t ha<sup>-1</sup>, T<sub>3</sub>-STCR-Inorganic-TY<sub>1</sub> 35.00 <sub>t</sub> ha<sup>-1</sup>, T<sub>4</sub>-STCR-Inorganic-TY<sub>2</sub> 40.00 <sub>t</sub> ha<sup>-1</sup>, T<sub>5</sub> - STCR-Inorganic-TY<sub>3</sub> 45.00 <sub>t</sub> ha<sup>-1</sup>, T<sub>6</sub>-STCR-Integrated-TY<sub>1</sub> 35.00 <sub>t</sub> ha<sup>-1</sup>, T<sub>7</sub>-STCR-Integrated-TY<sub>2</sub> 40.00 <sub>t</sub> ha<sup>-1</sup> T<sub>8</sub>- STCR-Inorganic-TY<sub>3</sub> 45.00 <sub>t</sub> ha<sup>-1</sup>,T<sub>9</sub>- Farmer&#x2019;s fertilizer Practice (FFP), T<sub>10</sub>-Absolute control (untreated nutrients).</p>
</fn>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="s3_10_2">
<label>3.10.2</label>
<title>Per cent achievement</title>
<p>The effectiveness of fertilizer recommendation calculations relies on the percentage attainment falling within the &#xb1;10% range scope of the yield target. In this context, the percentage achievement varied from 96.5% in STCR-inorganiconly at 45 t ha<sup>-1</sup> to 103.5% in STCR-integrated at 35 t ha<sup>-1</sup>, indicating the applicability of the inductive model for beetroot across all three yield target tiers within both the STCR-inorganic only and integrated categories. In the STCR- integrated category, the higher yield target attainment was recorded in STCR-integrated-35 t ha<sup>-1</sup> (103.5%), followed by STCR-inorganic alone 35 t ha<sup>-1</sup> (101.3%) and STCR- integrated 40 t ha<sup>-1</sup>(100.9%). Conversely, in the case of STCR- inorganiconly, the percentage achievement for yield targets of 35, 40, and 45 t ha<sup>-1</sup> was 103.5%, 100.9%, and 96.9%, respectively (<xref ref-type="table" rid="T6">
<bold>Table&#xa0;6</bold>
</xref>).</p>
</sec>
<sec id="s3_10_3">
<label>3.10.3</label>
<title>Response ratio and B:C ratio</title>
<p>The response ratio observed for different treatments varied from 4.86 kg kg<sup>-1</sup> in farmer&#x2019;s fertilizer practice to 44.16 kg kg<sup>-1</sup> in STCR-integrated-35 t ha<sup>-1</sup>, followed by STCR-integrated-40 t ha<sup>-1</sup> (39.37), STCR-integrated-45 t ha<sup>-1</sup> (35.24 kg kg<sup>-1</sup>), and STCR-inorganiconly 45 t ha<sup>-1</sup> (32.39 kg kg<sup>-1</sup>) (<xref ref-type="table" rid="T6">
<bold>Table&#xa0;6</bold>
</xref>). Among the STCR treatments, STCR- integrated consistently showed highest response ratios compared to their respective STCR-inorganic only treatments. The general fertilizer recommended dose (100% GFRD alone), and the general fertilizer recommended dose (100% GFRD) + FYM @ 12.5 t ha<sup>-1</sup> recorded response ratios of 9.19 and 11.85 kg kg<sup>-1</sup>, respectively, which were comparatively lower than all STCR treatments. According to the BCR data, STCR- integrated-45 t ha<sup>-1</sup> (02.66) exhibited the highest value, followed by STCR-inorganic alone - 45 t ha<sup>-1</sup> (2.63).</p>
</sec>
</sec>
</sec>
<sec id="s4" sec-type="discussion">
<label>4</label>
<title>Discussion</title>
<p>The statistical evaluation revealed that every strip differs significantly from the others, and the use of varying levels of NPK fertilizers led to a notable rise in the soil&#x2019;s available N, P, and K content, demonstrating the establishment of soil fertility variations in the field trial. Therefore, the establishment of soil fertility variation was verified by the soil analytical data for all three essential nutrients. The statistical analysis of post-harvest soil test data highlighted that significant difference in soil fertility status were present among the three strips (<xref ref-type="bibr" rid="B53">Udayakumar and Santhi, 2017</xref>; <xref ref-type="bibr" rid="B43">Singh et&#xa0;al., 2020</xref>; <xref ref-type="bibr" rid="B55">Vamshi et&#xa0;al., 2023</xref>). Using a graded level of fertilizer on gradient crops of rice, researchers found that grain and straw yields were higher. This could be because of the increased availability of nutrients in the soil with the increased levels of N, P, and K fertilizers, as well as the positive effects of these nutrients on fodder crops (<xref ref-type="bibr" rid="B57">Verma et&#xa0;al., 2014</xref>).</p>
<p>The experimental data clearly indicated significant variations in soil analysis value before sowing, nutrient uptake, and beetroot yield among the fertility strips and between NPK treated and control plots (untreated nutrient). These variations are crucial for establishing soil fertility gradients and are necessary for computing basic parameters and formulating fertilizer recommendation equations. These results align with the previous findings of (<xref ref-type="bibr" rid="B54">Umadevi, 2005</xref>; <xref ref-type="bibr" rid="B42">Singh, 2021</xref>) for carrot and <xref ref-type="bibr" rid="B48">Smitha John, 2004</xref>) for cabbage. The PCA results indicated that all variables were located in the positive quadrant, indicating their high importance for beetroot yield production. This finding aligns with the conclusions of a study by (<xref ref-type="bibr" rid="B2">Abishek et&#xa0;al., 2023</xref>).</p>
<p>SPAD value(chlorophyll content) increase may be due to the readily available micro and macronutrients, especially nitrogen, provided by farm yard manure (FYM), which is a crucial component of chlorophyll. These results are consistent with the findings of (<xref ref-type="bibr" rid="B10">Dhakal et&#xa0;al., 2009</xref>) in spinach beet. The application of farm yard manure (FYM) may have enhanced microbial activity in the root zone of the beetroot plant, facilitating nutrient transformation. These findings are consistent with the experiments conducted by (<xref ref-type="bibr" rid="B51">Tovihoudji et&#xa0;al., 2015</xref>: <xref ref-type="bibr" rid="B44">Singh et&#xa0;al., 2017</xref>; <xref ref-type="bibr" rid="B11">Dhakal et&#xa0;al., 2016</xref>; <xref ref-type="bibr" rid="B29">Nagar et&#xa0;al., 2016</xref>). Chlorophyll exhibited a positive (+) correlation with beetroot yield <xref ref-type="fig" rid="f7">
<bold>Figure&#xa0;7</bold>
</xref>, with r values of strip 1 (0.93), strip 2 (0.96), and strip 3 (0.92). Similar results were reported in beetroot (<xref ref-type="bibr" rid="B28">Mounika et&#xa0;al., 2022</xref>; <xref ref-type="bibr" rid="B21">Kumar et&#xa0;al., 2023</xref>).</p>
<fig id="f7" position="float">
<label>Figure&#xa0;7</label>
<caption>
<p>Linear regression of yield and chlorophyll content.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fpls-15-1481882-g007.tif"/>
</fig>
<p>The nutrient requirements data indicated that the hierarchy of nutrient requirements was K<sub>2</sub>O &gt;N &gt; P<sub>2</sub>O<sub>5</sub>(descending order). Similar findings were observed by (<xref ref-type="bibr" rid="B35">Santhi et&#xa0;al., 2011</xref> in beetroot; <xref ref-type="bibr" rid="B19">Kaushik et&#xa0;al., 2015</xref> in radish; <xref ref-type="bibr" rid="B12">Dibyendu et&#xa0;al., 2010</xref> in potato; <xref ref-type="bibr" rid="B18">KasthuriThilagam and Natesan, 2009</xref> in cauliflower). Among the three essential nutrients, the soil&#x2019;s contribution is highest for N, followed by K<sub>2</sub>O, and then P<sub>2</sub>O<sub>5</sub>. These findings closely align with those reported by (<xref ref-type="bibr" rid="B14">Gayathri et&#xa0;al., 2009</xref>) for Potato on Ultisols.</p>
<p>The data indicated that the ranking of nutrient requirements was K<sub>2</sub>O &gt; N &gt; P<sub>2</sub>O<sub>5</sub>. The results are also consistent with the findings of (<xref ref-type="bibr" rid="B35">Santhi et&#xa0;al., 2011</xref>; <xref ref-type="bibr" rid="B5">Basavaraja et&#xa0;al., 2011</xref>; <xref ref-type="bibr" rid="B31">Polara et&#xa0;al., 2012</xref>; <xref ref-type="bibr" rid="B39">Sellamuthu et&#xa0;al., 2015</xref>; <xref ref-type="bibr" rid="B30">ParvathiSugumari et&#xa0;al., 2021</xref>; <xref ref-type="bibr" rid="B6">Bhavya et&#xa0;al., 2023</xref>) who observed a similar trend of relatively higher nutrient contribution of K<sub>2</sub>O compared to N and P<sub>2</sub>O<sub>5</sub> from fertilizer. The organic manure (FYM) contributes more towards N (<xref ref-type="fig" rid="f8">
<bold>Figure&#xa0;8</bold>
</xref>). These results are consistent with the findings of (<xref ref-type="bibr" rid="B14">Gayathri et&#xa0;al., 2009</xref>; <xref ref-type="bibr" rid="B4">Anil et&#xa0;al., 2008</xref>; <xref ref-type="bibr" rid="B45">Singh et&#xa0;al., 2019</xref>). The basic parameters were computed based on the pre sowing soil test values, nutrient uptake and crop yield by beetroot. Using these basic parameters, fertilizer prescription equations were developed for beetroot on Ultisol to achieve precise beetroot yield targets.</p>
<fig id="f8" position="float">
<label>Figure&#xa0;8</label>
<caption>
<p>Contribution of Nutrient from Soil, Fertilizer and FYM(%).</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fpls-15-1481882-g008.tif"/>
</fig>
<p>Santhi and her colleague formulated fertilizer prescription equations and recorded them for various crops such as rice (<xref ref-type="bibr" rid="B38">Santhi et&#xa0;al., 1999</xref>), beetroot (<xref ref-type="bibr" rid="B35">Santhi et&#xa0;al., 2011</xref>), aggregatum onion (<xref ref-type="bibr" rid="B36">Santhi et&#xa0;al., 2005</xref>), and sunflower across different regions of Tamil Nadu.</p>
<p>The nutrient amounts can be subtracted from the recommended fertilizer quantity based on specific soil analysis values and yield targets. <xref ref-type="bibr" rid="B19">Kaushik et&#xa0;al. (2015)</xref> also reported that applying 12.5 t ha<sup>-1</sup> of farmyard manure along with chemical fertilizer resulted in savings of 15 kg ha<sup>-1</sup>of N, 1.8 kg ha<sup>-1</sup>of P<sub>2</sub>O<sub>5</sub>, and 5 kg ha<sup>-1</sup>of K<sub>2</sub>O in radish. Comparatively, when inorganic fertilizer was applied alongside FYM, there was a significant reduction in fertilizer amounts compared to applying inorganic fertilizer alone, owing to the nutrient supplementation provided by FYM. There was an increasing percentage reduction in fertilizers when applied alongside FYM, with a corresponding increase in soil test values. Similar findings were reported by (<xref ref-type="bibr" rid="B46">Singh et&#xa0;al., 2018</xref>). <xref ref-type="bibr" rid="B40">Sellamuthu et&#xa0;al. (2019)</xref> also found that using 12.5 t ha<sup>-1</sup> of farmyard manure in combination with chemical fertilizers saved 40 kg ha<sup>-1</sup>of N, 20 kg ha<sup>-1</sup>of P<sub>2</sub>O<sub>5</sub>, and 33 kg ha<sup>-1</sup>of K<sub>2</sub>O in big onion.</p>
<p>In contrast to STCR-NPK alone treatments with corresponding yield targets, STCR-IPNS treatments consistently exhibited higher yields, highlighting the beneficial synergy of combining inorganic fertilizers with organic manures. This combination demonstrated its superiority in enhancing crop productivity. The slow release of nutrient from FYM hindered its ability to sufficiently meet the essential nutrient needs during the crucial growth stages of the crop. The utilization of farmyard manure (FYM) in this context probably strengthened the nitrogen provision, thereby boosting beetroot production. Similar findings were reported by (<xref ref-type="bibr" rid="B22">Laharia et&#xa0;al., 2020</xref>; <xref ref-type="bibr" rid="B60">Zannat et&#xa0;al., 2020</xref>; <xref ref-type="bibr" rid="B27">Mohamed et&#xa0;al., 2023</xref> and <xref ref-type="bibr" rid="B3">Anasuyamma et&#xa0;al., 2022</xref>).</p>
<p>Per cent achievement results suggest that utilizing IPNS for yield targeting consistently attained a greater percent of the desired target compared to employing inorganic alone treatments. This observation resonates with findings from a study conducted by (<xref ref-type="bibr" rid="B9">Dey and Bhogal, 2016</xref>; <xref ref-type="bibr" rid="B37">Santhi et&#xa0;al., 2017</xref>; <xref ref-type="bibr" rid="B52">Udayakumar and Santhi, 2016</xref> for pearl millet; <xref ref-type="bibr" rid="B1">Abishek et&#xa0;al., 2022</xref> on castor; <xref ref-type="bibr" rid="B26">Mohamed, 2023</xref> for finger millet).</p>
<p>Benefit-Cost Ratio (BCR) of STCR- integrated (IPNS)was significantly greater than that of STCR-inorganic alone. The BCRs for the general fertilizer recommended dose (100% GFRD alone) and farmer&#x2019;s fertilizer practice were 2.35 and 1.74, respectively, which were lower than all soil analysis crop response treatments. The fluctuations in benefit-cost ratios (BCRs) were mainly attributed to differences in crop yields and varying expenses associated with the use of farm farmyard manure (FYM). It is evident that the prudent utilization of organic inputs, like on FYM, alongside synthetic fertilizers, results in a more profitable outcome. Similar results were reported by (<xref ref-type="bibr" rid="B23">Lakum et&#xa0;al., 2011</xref>; <xref ref-type="bibr" rid="B8">Choudhary et&#xa0;al., 2014</xref>; <xref ref-type="bibr" rid="B47">Sipai et&#xa0;al., 2014</xref>; <xref ref-type="bibr" rid="B41">Singh and Chauhan, 2016</xref>; <xref ref-type="bibr" rid="B25">Meena et al., 2017</xref>; <xref ref-type="bibr" rid="B32">Raghav et&#xa0;al., 2019</xref>).</p>
</sec>
<sec id="s5" sec-type="conclusions">
<label>5</label>
<title>Conclusions</title>
<p>Blanket recommendation of fertilizers to crops leads to either overuse or under use of fertilizers. Soil test and yield targeting based STCR-IPNS approach by inductive methodology demonstrated that the fertilizer prescription to beetroot, enhances the beetroot yield. It has been clarified that STCR- Integrated (IPNS)provides a well-proportioned supply, accounting contribution from farmyard manure, soil and fertilizer, to achieve desired yield aimed of beetroot. When a farmer applying 12.5 t ha<sup>-1</sup> of FYM, they can reduce 37, 26 and 34 kg of Nitrogen (N), Phosphorus (P) and Potassium (K), respectively from the prescribed dose of inorganic fertilizers. Under conventional recommendation, along with FYM, mineral fertilizers are applied without considering other sources. Findings from these experiments revealed that there is a significant response by beetroot to N, P and K fertilizers. Nutrient prescription using STCR-IPNS approach is able to achieve 100.9% and 96.9% yield targets of 40 t ha<sup>-1</sup> (40.36 t ha<sup>-1</sup>) and 45 t ha<sup>-1</sup> (43.60 t ha<sup>-1</sup>) respectively. The percentage attainment of the desired yield was within a &#xb1;10% deviation at yield target, confirming the accuracy of the fertilizer prescription model for recommending combined fertilizer (inorganic, organic) doses for beetroot. Though availability of the FYM is reducing day by day, explicit adoption of STCR-IPNS model will encourage the farmers to produce FYM at farm level and use it for sustaining soil health with higher economic returns.</p>
</sec>
</body>
<back>
<sec id="s7" sec-type="data-availability">
<title>Data availability statement</title>
<p>The raw data supporting the conclusions of this article will be made available by the authors, without undue reservation.</p>
</sec>
<sec id="s8" sec-type="author-contributions">
<title>Author contributions</title>
<p>AR: Writing &#x2013; original draft. SK: Writing &#x2013; review &amp; editing. MS: Conceptualization, Writing &#x2013; original draft. SA: Writing &#x2013; review &amp; editing. TS: Formal analysis, Writing &#x2013; review &amp; editing. MP: Investigation, Writing &#x2013; review &amp; editing. SG: Conceptualization, Writing &#x2013; review &amp; editing.</p>
</sec>
<sec id="s9" sec-type="funding-information">
<title>Funding</title>
<p>The author(s) declare financial support was received for the research, authorship, and/or publication of this article. The research was supported by ICAR-All India Co-ordinated Research Project on STCR.</p>
</sec>
<ack>
<title>Acknowledgments</title>
<p>The authors wish to thank Tamil Nadu Agricultural University for providing necessary support and facilities to perform this work.</p>
</ack>
<sec id="s10" sec-type="COI-statement">
<title>Conflict of interest</title>
<p>The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec id="s12" 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>
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