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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Sustain. Food Syst.</journal-id>
<journal-title>Frontiers in Sustainable Food Systems</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Sustain. Food Syst.</abbrev-journal-title>
<issn pub-type="epub">2571-581X</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.3389/fsufs.2024.1368970</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Sustainable Food Systems</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Optimization of watermelon waste as a bulking agent for sustainable co-composting of livestock manures using response surface methodology</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name><surname>Nurin</surname> <given-names>Arifah Yusoff</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
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</contrib>
<contrib contrib-type="author" corresp="yes">
<name><surname>Tee</surname> <given-names>Tuan Poy</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<xref ref-type="corresp" rid="c001"><sup>&#x002A;</sup></xref>
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</contrib>
<contrib contrib-type="author">
<name><surname>Chin</surname> <given-names>Nyuk Ling</given-names></name>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
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<contrib contrib-type="author" corresp="yes">
<name><surname>Zainudin</surname> <given-names>Mohd Huzairi Mohd</given-names></name>
<xref ref-type="aff" rid="aff3"><sup>3</sup></xref>
<xref ref-type="corresp" rid="c002"><sup>&#x002A;</sup></xref>
</contrib>
<contrib contrib-type="author">
<name><surname>Nayan</surname> <given-names>Nazri</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
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<aff id="aff1"><sup>1</sup><institution>Department of Animal Science, Faculty of Agriculture, Universiti Putra Malaysia</institution>, <addr-line>Serdang, Selangor</addr-line>, <country>Malaysia</country></aff>
<aff id="aff2"><sup>2</sup><institution>Department of Process and Food Engineering, Faculty of Engineering, Universiti Putra Malaysia</institution>, <addr-line>Serdang, Selangor</addr-line>, <country>Malaysia</country></aff>
<aff id="aff3"><sup>3</sup><institution>Laboratory of Sustainable Animal Production and Biodiversity, Institute of Tropical Agriculture and Food Security, Universiti Putra Malaysia</institution>, <addr-line>Serdang, Selangor</addr-line>, <country>Malaysia</country></aff>
<author-notes>
<fn fn-type="edited-by" id="fn0001">
<p>Edited by: Paula Alvarenga, University of Lisbon, Portugal</p>
</fn>
<fn fn-type="edited-by" id="fn0002">
<p>Reviewed by: Mehmet Ali K&#x00FC;&#x00E7;&#x00FC;ker, Izmir Institute of Technology, T&#x00FC;rkiye</p>
<p>Carlos Rad, University of Burgos, Spain</p>
</fn>
<corresp id="c001">&#x002A;Correspondence: Tuan Poy Tee, <email>ttpoy@upm.edu.my</email></corresp>
<corresp id="c002">Mohd Huzairi Mohd Zainudin, <email>mohdhuzairi@upm.edu.my</email></corresp>
</author-notes>
<pub-date pub-type="epub">
<day>03</day>
<month>04</month>
<year>2024</year>
</pub-date>
<pub-date pub-type="collection">
<year>2024</year>
</pub-date>
<volume>8</volume>
<elocation-id>1368970</elocation-id>
<history>
<date date-type="received">
<day>11</day>
<month>01</month>
<year>2024</year>
</date>
<date date-type="accepted">
<day>18</day>
<month>03</month>
<year>2024</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#x00A9; 2024 Nurin, Tee, Chin, Zainudin and Nayan.</copyright-statement>
<copyright-year>2024</copyright-year>
<copyright-holder>Nurin, Tee, Chin, Zainudin and Nayan</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>Global human population growth has resulted in significant intensive agricultural activity, posing substantial challenges to waste management and environmental conservation. Watermelon waste (WW), chicken manure (CM) and horse manure (HM) are among the main contributors to agricultural waste due to their abundant waste production. This study aims to manage the daily production of these wastes by utilizing WW as a bulking agent in the co-composting of CM and HM. Response surface methodology (RSM) was employed to analyze the effects of four independent factors: HM:CM composition, particle size, composting period, and bulking agent amount. Thirty treatments were developed using central composite design and in-vessel composting reactors were employed to study the relationship between the factors involved and compost physicochemical quality parameters. The results demonstrated significant effects on organic matter (OM), nitrogen (N), potassium (K), dry matter, moisture content, bulk density, and pH, while the carbon-to-nitrogen ratio (C/N) and phosphorus level were not affected. The optimized co-composting conditions obtained from RSM were 75:25 for HM:CM composition (%), 0.5&#x2009;cm for particle size, 40&#x2009;days for composting period, and 10% of WW, resulting in a compost with 61% OM, 2.5% N, and 2.5% K. These optimal conditions agreed closely with the predicted values; root mean square prediction error (RMSPE) was less than 0.50, revealing the success of RSM in determining optimal process parameters and developing models for predicting responses. Our study demonstrated that WW as a bulking agent in the co-composting of CM and HM has significantly enhanced the organic matter and nutrient levels of the final compost product.</p>
</abstract>
<kwd-group>
<kwd>watermelon waste</kwd>
<kwd>chicken manure</kwd>
<kwd>horse manure</kwd>
<kwd>co-composting</kwd>
<kwd>optimization</kwd>
<kwd>response surface methodology</kwd>
</kwd-group>
<counts>
<fig-count count="4"/>
<table-count count="9"/>
<equation-count count="8"/>
<ref-count count="78"/>
<page-count count="14"/>
<word-count count="10441"/>
</counts>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-at-acceptance</meta-name>
<meta-value>Waste Management in Agroecosystems</meta-value>
</custom-meta>
</custom-meta-wrap>
</article-meta>
</front>
<body>
<sec sec-type="intro" id="sec1">
<label>1</label>
<title>Introduction</title>
<p>Over recent years, fruits and vegetables exhibit the highest levels of wastage among all food categories (<xref ref-type="bibr" rid="ref63">Sirohi et al., 2021</xref>). The <xref ref-type="bibr" rid="ref10">Department of Agriculture Services Malaysia (2021)</xref> stated that watermelon stands as the fourth most produced fruit, followed by durian, pineapple, and banana. The production volume in the year of the report was over 210 thousand tons. Moreover, watermelon is widely cultivated in tropical and temperate regions, ranking second to banana as the most extensively produced fruit worldwide (<xref ref-type="bibr" rid="ref60">Shahbandeh, 2022</xref>). Watermelon rind waste comprises the squishy white and tough green skin parts of the watermelon (<italic>Citrullus lanatus</italic>), excluding its red/pink flesh that is commonly consumed (<xref ref-type="bibr" rid="ref14">Egbuonu, 2015</xref>). The rind constitutes approximately 30% of the total weight of the fruit (<xref ref-type="bibr" rid="ref36">Kumar et al., 2012</xref>; <xref ref-type="bibr" rid="ref5">Bhattacharjee et al., 2020</xref>). Due to the substantial weight of the rind, watermelon generates a significant amount of inedible waste per fruit, ranking second only to durian waste (<xref ref-type="bibr" rid="ref8">Capossio et al., 2022</xref>; <xref ref-type="bibr" rid="ref9">Chua et al., 2023</xref>). Unlike durian, this tropical fruit is consumed and produced throughout the year, growing at a faster pace without any seasonal variation. Therefore, the production of watermelon waste (WW) could be estimated to exceed that of durian waste. The rind contains not only all the nutrients found in the flesh, but also larger quantities of certain antioxidants, minerals, vitamins, and active ingredients (<xref ref-type="bibr" rid="ref5">Bhattacharjee et al., 2020</xref>; <xref ref-type="bibr" rid="ref12">Dubey et al., 2021</xref>).</p>
<p>Chicken and horse manures are valuable sources of organic matter, beneficial microorganisms, and plant nutrients commonly used to enhance agricultural crop yield (<xref ref-type="bibr" rid="ref33">Keskinen et al., 2017</xref>; <xref ref-type="bibr" rid="ref76">Yong-Hong et al., 2021</xref>). Chicken manure (CM) is widely known among farmers as &#x201C;black gold&#x201D; due to its high nitrogen-phosphorus-potassium (NPK) contents (<xref ref-type="bibr" rid="ref2">Abumere et al., 2019</xref>). Chickens constitute 95% (approximately two billion birds) of the overall livestock production, making them the main contributors to livestock waste in Malaysia (<xref ref-type="bibr" rid="ref79">Zayadi, 2021</xref>; <xref ref-type="bibr" rid="ref11">Department of Veterinary Services Malaysia, 2022</xref>). Additionally, CM has also displayed the highest manure production growth in recent years among all livestock species worldwide (<xref ref-type="bibr" rid="ref16">Food and Agriculture Organization of the United Nations, 2023</xref>). On the contrary, there were concerns about using CM as a plant fertilizer due to its low carbon-to-nitrogen ratio (C/N) (<xref ref-type="bibr" rid="ref50">Oshins et al., 2022</xref>), which is unfavorable for nutrient mineralization and may hinder efficient microbial degradation during composting (<xref ref-type="bibr" rid="ref17">Fuchs et al., 2018</xref>).</p>
<p>In comparison, horse manure (HM) relatively produces the largest volume of fresh manure per animal daily compared to other major livestock species (<xref ref-type="bibr" rid="ref69">Teferra and Wubu, 2018</xref>). Horses require the highest amount of bedding compared to other livestock husbandry systems, discarding up to 9&#x2009;kg of bedding materials per animal daily (<xref ref-type="bibr" rid="ref74">Westendorf and Krogmann, 2013</xref>). When combined with horse excretion (23&#x2009;kg/head) and residual feed, this could consequently result in more than 11,600&#x2009;kg/head of waste annually (<xref ref-type="bibr" rid="ref34">Komar et al., 2012</xref>). With over four thousand horses in Malaysia, approximately 46,000 tons of manure were produced in the year 2022 (<xref ref-type="bibr" rid="ref11">Department of Veterinary Services Malaysia, 2022</xref>). These abundant manures are mixed with bedding materials such as sawdust, straw, and/or hay. Unfortunately, they are generally managed poorly and dumped aside, causing the spread of dust and aeroallergens. This poses potential risks of air pollution and respiratory health hazards (<xref ref-type="bibr" rid="ref68">Tanner et al., 1998</xref>; <xref ref-type="bibr" rid="ref4">Bambi et al., 2018</xref>). Additionally, HM has a significantly high carbon content, resulting in reduced nitrogen availability when applied to soil due to the immobilization of soluble nitrogen (<xref ref-type="bibr" rid="ref33">Keskinen et al., 2017</xref>). As a result, HM is frequently considered less reliable for agricultural crop utilization when compared to CM.</p>
<p>Given the substantial production and negative issues associated with these wastes, many treatment alternatives through research have been proposed, including co-composting. Co-composting involves the simultaneous conversion of multiple feedstocks into nutrient-rich soil conditioners, producing higher-quality compost compared to mono-composting (<xref ref-type="bibr" rid="ref54">Qian et al., 2014</xref>; <xref ref-type="bibr" rid="ref20">Greff et al., 2022</xref>). Certain wastes may not be compostable as single raw materials due to deficiencies in their biological and/or physicochemical properties (<xref ref-type="bibr" rid="ref20">Greff et al., 2022</xref>). In addition, co-composting enables the concurrent management and reutilization of more waste (<xref ref-type="bibr" rid="ref1">Abu Qdais and Al-Widyan, 2016</xref>). The key to successful co-composting is achieving a balanced mix of organic matter that provides the necessary C/N (<xref ref-type="bibr" rid="ref50">Oshins et al., 2022</xref>). Optimizing the composition and nutrient ratio through co-composting formulations can enhance the biodegradation process and result in products with innovative properties (<xref ref-type="bibr" rid="ref18">Giagnoni et al., 2020</xref>). The co-composting of CM and HM offers complementary benefits, particularly in achieving a balanced C/N, given that CM is rich in nitrogen while HM is high in carbon. Additionally, WW as a bulking agent could further enhance the decomposition process and final compost quality, owing to its reportedly high moisture and nutrient levels (<xref ref-type="bibr" rid="ref29">Huang et al., 2012</xref>; <xref ref-type="bibr" rid="ref56">Rob, 2021</xref>).</p>
<p>This study manipulated the factors that influence the composting process, which are feedstock composition, particle size, composting period, and bulking agent amount (<xref ref-type="bibr" rid="ref6">Bortolini et al., 2020</xref>; <xref ref-type="bibr" rid="ref72">Wan et al., 2020</xref>). Composition manipulation is vital to determine the optimum C/N, which highly influences the final compost maturity (<xref ref-type="bibr" rid="ref50">Oshins et al., 2022</xref>). Smaller particle sizes will increase the surface area, thus accelerating the microbial degradation process. However, particles that are too small may lead to challenges in handling and storage, while those that are overly large can result in unnecessary aeration and nutrient leaching (<xref ref-type="bibr" rid="ref58">Sarlaki et al., 2021</xref>). Composting has traditionally been perceived as time-consuming by waste management stakeholders. But, it can be shortened by adjusting several parameters associated with the composting process (<xref ref-type="bibr" rid="ref59">Sebaaly et al., 2018</xref>). The incorporation of bulking agents serves multiple purposes, including regulating moisture content and C/N, reducing ammonia volatilization, minimizing leachate production within the composting matrix, and ultimately enhancing the quality of the final compost (<xref ref-type="bibr" rid="ref45">Meng et al., 2017</xref>; <xref ref-type="bibr" rid="ref40">Lim et al., 2019</xref>).</p>
<p>Studies done on the co-composting of HM and CM as well as its impacts on physicochemical properties are scarce. Previously, CM and HM were co-composted using various types of green waste, sugar beet, and grape pomace as the bulking agent (<xref ref-type="bibr" rid="ref55">Ren&#x010D;o et al., 2011</xref>; <xref ref-type="bibr" rid="ref73">Weil et al., 2013</xref>; <xref ref-type="bibr" rid="ref44">Liu Y. et al., 2018</xref>). However, studies on variations in physicochemical properties were only mentioned by <xref ref-type="bibr" rid="ref44">Liu Y. et al. (2018)</xref>. To date, no preceding studies have been conducted on the co-composting of CM and HM with WW as a bulking agent. Therefore, this study aims to address this gap, considering the substantial production and issues associated with these wastes. Concurrently, their influences on compost physicochemical quality parameters were assessed and optimized using Response Surface Methodology (RSM). This polynomial equation approach enables model development and the optimization of multiple factors affecting a single response (<xref ref-type="bibr" rid="ref27">Homayoonfal et al., 2015</xref>). The objective is to simultaneously optimize feedstock composition, particle size, composting period, and bulking agent amount to achieve optimal compost performance (<xref ref-type="bibr" rid="ref75">Wong et al., 2015</xref>; <xref ref-type="bibr" rid="ref78">Zahmatkesh et al., 2022</xref>).</p>
</sec>
<sec sec-type="materials|methods" id="sec2">
<label>2</label>
<title>Materials and methods</title>
<sec id="sec3">
<label>2.1</label>
<title>Feedstock</title>
<p>Watermelon was purchased from the commercial market and the inedible parts (rind) were separated for this research. CM was obtained from the poultry breeding unit in Taman Pertanian, Universiti Putra Malaysia. Fresh HM (pure horse dung without bedding) was supplied by MAEPS Rubinga Equine Centre in Serdang, Malaysia. HM was dried under the sun for 2 to 3&#x2009;days to remove excess moisture.</p>
</sec>
<sec id="sec4">
<label>2.2</label>
<title>Experimental design</title>
<p>Central composite design (CCD) was employed, incorporating four independent variables: HM:CM composition (HM:CM), particle size (PS), composting period (CP), and bulking agent amount (BAA), each at five levels. This design was executed using Design Expert Software (Version 7, Stat-Ease), as shown in <xref ref-type="table" rid="tab1">Table 1</xref>. The matrix consisted of 30 experiments, which comprised 24 factorial experiments and 6 central points. Multiple regression analysis was conducted on the response variable data, influenced by the independent variables. The polynomial regression equation obtained is depicted in <xref ref-type="disp-formula" rid="EQ1">Eq. 1</xref>;</p>
<disp-formula id="EQ1">
<label>(1)</label>
<mml:math id="M1">
<mml:mtable columnalign="left">
<mml:mtr>
<mml:mtd>
<mml:mi mathvariant="normal">Y</mml:mi>
<mml:mo>=</mml:mo>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mn>0</mml:mn>
<mml:mo>+</mml:mo>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mn>1</mml:mn>
<mml:mi mathvariant="normal">X</mml:mi>
<mml:mn>1</mml:mn>
<mml:mo>+</mml:mo>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mn>2</mml:mn>
<mml:mi mathvariant="normal">X</mml:mi>
<mml:mn>2</mml:mn>
<mml:mo>+</mml:mo>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mn>3</mml:mn>
<mml:mi mathvariant="normal">X</mml:mi>
<mml:mn>3</mml:mn>
<mml:mo>+</mml:mo>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mn>4</mml:mn>
<mml:mi mathvariant="normal">X</mml:mi>
<mml:mn>4</mml:mn>
<mml:mo>+</mml:mo>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mn>12</mml:mn>
<mml:mi mathvariant="normal">X</mml:mi>
<mml:mn>1</mml:mn>
<mml:mi mathvariant="normal">X</mml:mi>
<mml:mn>2</mml:mn>
</mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd>
<mml:mspace width="2.5em"/>
<mml:mo>+</mml:mo>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mn>13</mml:mn>
<mml:mi mathvariant="normal">X</mml:mi>
<mml:mn>1</mml:mn>
<mml:mi mathvariant="normal">X</mml:mi>
<mml:mn>3</mml:mn>
<mml:mo>+</mml:mo>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mn>14</mml:mn>
<mml:mi mathvariant="normal">X</mml:mi>
<mml:mn>1</mml:mn>
<mml:mi mathvariant="normal">X</mml:mi>
<mml:mn>4</mml:mn>
<mml:mo>+</mml:mo>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mn>23</mml:mn>
<mml:mi mathvariant="normal">X</mml:mi>
<mml:mn>2</mml:mn>
<mml:mi mathvariant="normal">X</mml:mi>
<mml:mn>3</mml:mn>
<mml:mo>+</mml:mo>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mn>24</mml:mn>
<mml:mi mathvariant="normal">X</mml:mi>
<mml:mn>2</mml:mn>
<mml:mi mathvariant="normal">X</mml:mi>
<mml:mn>4</mml:mn>
</mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd>
<mml:mspace width="2.5em"/>
<mml:mo>+</mml:mo>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mn>34</mml:mn>
<mml:mi mathvariant="normal">X</mml:mi>
<mml:mn>3</mml:mn>
<mml:mi mathvariant="normal">X</mml:mi>
<mml:mn>4</mml:mn>
<mml:mo>+</mml:mo>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mn>11</mml:mn>
<mml:msup>
<mml:mi mathvariant="normal">X</mml:mi>
<mml:mn>2</mml:mn>
</mml:msup>
<mml:mn>1</mml:mn>
<mml:mo>+</mml:mo>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mn>22</mml:mn>
<mml:msup>
<mml:mi mathvariant="normal">X</mml:mi>
<mml:mn>2</mml:mn>
</mml:msup>
<mml:mn>2</mml:mn>
<mml:mo>+</mml:mo>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mn>33</mml:mn>
<mml:msup>
<mml:mi mathvariant="normal">X</mml:mi>
<mml:mn>2</mml:mn>
</mml:msup>
<mml:mn>3</mml:mn>
</mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd>
<mml:mspace width="2.5em"/>
<mml:mo>+</mml:mo>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mn>44</mml:mn>
<mml:msup>
<mml:mi mathvariant="normal">X</mml:mi>
<mml:mn>2</mml:mn>
</mml:msup>
<mml:mn>4</mml:mn>
<mml:mo>+</mml:mo>
<mml:mi mathvariant="normal">e</mml:mi>
</mml:mtd>
</mml:mtr>
</mml:mtable>
</mml:math>
</disp-formula>
<table-wrap position="float" id="tab1">
<label>Table 1</label>
<caption>
<p>Independent factors and their levels.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="center" valign="top" colspan="2">Independent factors</th>
<th align="center" valign="top" colspan="5">Levels</th>
</tr>
<tr>
<th align="left" valign="top">Factors</th>
<th align="center" valign="top">Coded</th>
<th align="center" valign="top">&#x2212;&#x0251;</th>
<th align="center" valign="top">&#x2212;1</th>
<th align="center" valign="top">0</th>
<th align="center" valign="top">1</th>
<th align="center" valign="top">&#x0251;</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top">Manure composition (HM:CM) (%)</td>
<td align="center" valign="top">X1</td>
<td align="center" valign="top">0: 100</td>
<td align="center" valign="top">25:75</td>
<td align="center" valign="top">50:50</td>
<td align="center" valign="top">75:25</td>
<td align="center" valign="top">100:0</td>
</tr>
<tr>
<td align="left" valign="top">Particle size (cm)</td>
<td align="center" valign="top">X2</td>
<td align="center" valign="top">0.25</td>
<td align="center" valign="top">0.5</td>
<td align="center" valign="top">0.75</td>
<td align="center" valign="top">1.0</td>
<td align="center" valign="top">1.25</td>
</tr>
<tr>
<td align="left" valign="top">Composting period (day)</td>
<td align="center" valign="top">X3</td>
<td align="center" valign="top">25</td>
<td align="center" valign="top">30</td>
<td align="center" valign="top">35</td>
<td align="center" valign="top">40</td>
<td align="center" valign="top">45</td>
</tr>
<tr>
<td align="left" valign="top">&#x002A;Bulking agent amount (%)</td>
<td align="center" valign="top">X4</td>
<td align="center" valign="top">5</td>
<td align="center" valign="top">10</td>
<td align="center" valign="top">15</td>
<td align="center" valign="top">20</td>
<td align="center" valign="top">25</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p>&#x002A;Bulking Agent&#x2009;=&#x2009;Watermelon waste.</p>
</table-wrap-foot>
</table-wrap>
<p>Co-compost quality denoted as Y, serves as the response variable, encompassing organic matter (OM), nitrogen (N), C/N, phosphorus (P), potassium (K), dry matter (DM), moisture content (MC), pH, and bulk density (BD). C<sub>0</sub> represents the constant of the model. The regression coefficients (C<sub>1</sub>, C<sub>2</sub>, C<sub>3</sub>, and C<sub>4</sub>), (C<sub>12</sub>, C<sub>13</sub>, C<sub>14</sub>, C<sub>23</sub>, C<sub>24</sub>, and C<sub>34</sub>) and (C<sub>11</sub>, C<sub>22</sub>, C<sub>33</sub>, and C<sub>44</sub>) respectively, represent the linear, interaction, and quadratic effects of the model. X<sub>1</sub>, X<sub>2</sub>, X<sub>3</sub>, and X<sub>4</sub> are the values of the independent factors, namely HM:CM, PS, CP, and BAA, respectively. The term &#x201C;e&#x201D; denotes the random error of the model.</p>
</sec>
<sec id="sec5">
<label>2.3</label>
<title>Co-composting procedure</title>
<p>Thirty compost reactors were prepared using a passive aerated system, following the in-vessel composting reactor design developed by <xref ref-type="bibr" rid="ref71">Vincent Ling (2009)</xref>. Each compost reactor was designed using a 5-liter rectangular plastic container with 14 perforated holes (0.5&#x2009;cm diameter) on each wall and 8 perforated holes at the bottom to simulate natural ventilation. Apart from that, a one-foot of two-inch diameter polyvinyl chloride (PVC) pipe with 20 perforated holes (4 holes vertically) was inserted into the reactor, serving as a duct for central aeration. The feedstocks were prepared according to the pattern designated by RSM, as presented in <xref ref-type="table" rid="tab2">Table 2</xref>. Manures were mixed based on the HM:CM composition creating 1&#x2009;kg of total manure, while the amount of WW was determined as a percentage of the total manure in each reactor. After thorough mixing, all feedstocks were loaded into the compost reactors. These reactors were then positioned in the laboratory with minimal exposure to sunlight, spaced 5&#x2009;cm apart from each other. The arrangement of rows was adjusted daily downward, with the reactors at the lowest row moved to the top to minimize the influence of ambient temperature. In addition, the composts were turned every 5&#x2009;days to promote aeration. Moisture was controlled at 60&#x2013;70% by spraying water into the reactors and monitored using a standard moisture meter. Temperature was also monitored by measuring with a bi-metal thermometer near the core of the pile.</p>
<table-wrap position="float" id="tab2">
<label>Table 2</label>
<caption>
<p>The independent factors and the response variables results based on the CCD matrix.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top" rowspan="2">Run no.</th>
<th align="center" valign="top" colspan="4">Independent factors</th>
<th align="center" valign="top" colspan="9">Response variables</th>
</tr>
<tr>
<th align="center" valign="top">HM:CM (%)</th>
<th align="center" valign="top">PS (cm)</th>
<th align="center" valign="top">CP (days)</th>
<th align="center" valign="top">BAA (%)</th>
<th align="center" valign="top">C/N</th>
<th align="center" valign="top">OM (%)</th>
<th align="center" valign="top">N (%)</th>
<th align="center" valign="top">P (%)</th>
<th align="center" valign="top">K (%)</th>
<th align="center" valign="top">DM (%)</th>
<th align="center" valign="top">MC (%)</th>
<th align="center" valign="top">BD (kg/m<sup>3</sup>)</th>
<th align="center" valign="top">pH</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top">1</td>
<td align="center" valign="top">50:50</td>
<td align="center" valign="top">0.75</td>
<td align="center" valign="top">25</td>
<td align="center" valign="top">15</td>
<td align="center" valign="top">14.98</td>
<td align="center" valign="top">59.09</td>
<td align="center" valign="top">2.19</td>
<td align="center" valign="top">9.02</td>
<td align="center" valign="top">3.31</td>
<td align="center" valign="top">41.95</td>
<td align="center" valign="top">58.05</td>
<td align="center" valign="top">144.45</td>
<td align="center" valign="top">7.57</td>
</tr>
<tr>
<td align="left" valign="top">2</td>
<td align="center" valign="top">50:50</td>
<td align="center" valign="top">0.75</td>
<td align="center" valign="top">45</td>
<td align="center" valign="top">15</td>
<td align="center" valign="top">13.72</td>
<td align="center" valign="top">61.18</td>
<td align="center" valign="top">2.48</td>
<td align="center" valign="top">9.36</td>
<td align="center" valign="top">3.29</td>
<td align="center" valign="top">34.88</td>
<td align="center" valign="top">65.12</td>
<td align="center" valign="top">283.51</td>
<td align="center" valign="top">7.19</td>
</tr>
<tr>
<td align="left" valign="top">3</td>
<td align="center" valign="top">75:25</td>
<td align="center" valign="top">0.50</td>
<td align="center" valign="top">30</td>
<td align="center" valign="top">10</td>
<td align="center" valign="top">14.11</td>
<td align="center" valign="top">61.14</td>
<td align="center" valign="top">2.41</td>
<td align="center" valign="top">5.92</td>
<td align="center" valign="top">2.57</td>
<td align="center" valign="top">37.25</td>
<td align="center" valign="top">62.75</td>
<td align="center" valign="top">244.10</td>
<td align="center" valign="top">7.38</td>
</tr>
<tr>
<td align="left" valign="top">4</td>
<td align="center" valign="top">50:50</td>
<td align="center" valign="top">0.25</td>
<td align="center" valign="top">35</td>
<td align="center" valign="top">15</td>
<td align="center" valign="top">13.81</td>
<td align="center" valign="top">48.08</td>
<td align="center" valign="top">1.93</td>
<td align="center" valign="top">10.16</td>
<td align="center" valign="top">3.12</td>
<td align="center" valign="top">42.48</td>
<td align="center" valign="top">57.52</td>
<td align="center" valign="top">337.02</td>
<td align="center" valign="top">6.98</td>
</tr>
<tr>
<td align="left" valign="top">5</td>
<td align="center" valign="top">75:25</td>
<td align="center" valign="top">0.50</td>
<td align="center" valign="top">40</td>
<td align="center" valign="top">10</td>
<td align="center" valign="top">13.52</td>
<td align="center" valign="top">61.13</td>
<td align="center" valign="top">2.51</td>
<td align="center" valign="top">6.53</td>
<td align="center" valign="top">2.57</td>
<td align="center" valign="top">40.16</td>
<td align="center" valign="top">59.84</td>
<td align="center" valign="top">255.91</td>
<td align="center" valign="top">7.27</td>
</tr>
<tr>
<td align="left" valign="top">6</td>
<td align="center" valign="top">75:25</td>
<td align="center" valign="top">1.00</td>
<td align="center" valign="top">30</td>
<td align="center" valign="top">20</td>
<td align="center" valign="top">15.21</td>
<td align="center" valign="top">63.71</td>
<td align="center" valign="top">2.33</td>
<td align="center" valign="top">9.28</td>
<td align="center" valign="top">2.35</td>
<td align="center" valign="top">35.34</td>
<td align="center" valign="top">64.66</td>
<td align="center" valign="top">233.32</td>
<td align="center" valign="top">6.86</td>
</tr>
<tr>
<td align="left" valign="top">7</td>
<td align="center" valign="top">50:50</td>
<td align="center" valign="top">0.75</td>
<td align="center" valign="top">35</td>
<td align="center" valign="top">5</td>
<td align="center" valign="top">10.80</td>
<td align="center" valign="top">47.61</td>
<td align="center" valign="top">2.45</td>
<td align="center" valign="top">11.29</td>
<td align="center" valign="top">3.55</td>
<td align="center" valign="top">43.40</td>
<td align="center" valign="top">56.60</td>
<td align="center" valign="top">289.78</td>
<td align="center" valign="top">7.05</td>
</tr>
<tr>
<td align="left" valign="top">8</td>
<td align="center" valign="top">50:50</td>
<td align="center" valign="top">0.75</td>
<td align="center" valign="top">35</td>
<td align="center" valign="top">15</td>
<td align="center" valign="top">15.16</td>
<td align="center" valign="top">61.03</td>
<td align="center" valign="top">2.24</td>
<td align="center" valign="top">8.08</td>
<td align="center" valign="top">3.30</td>
<td align="center" valign="top">49.40</td>
<td align="center" valign="top">50.60</td>
<td align="center" valign="top">220.84</td>
<td align="center" valign="top">7.57</td>
</tr>
<tr>
<td align="left" valign="top">9</td>
<td align="center" valign="top">25:75</td>
<td align="center" valign="top">1.00</td>
<td align="center" valign="top">40</td>
<td align="center" valign="top">10</td>
<td align="center" valign="top">15.20</td>
<td align="center" valign="top">56.09</td>
<td align="center" valign="top">2.05</td>
<td align="center" valign="top">8.31</td>
<td align="center" valign="top">3.34</td>
<td align="center" valign="top">38.72</td>
<td align="center" valign="top">61.28</td>
<td align="center" valign="top">360.87</td>
<td align="center" valign="top">8.32</td>
</tr>
<tr>
<td align="left" valign="top">10</td>
<td align="center" valign="top">0:100</td>
<td align="center" valign="top">0.75</td>
<td align="center" valign="top">35</td>
<td align="center" valign="top">15</td>
<td align="center" valign="top">13.60</td>
<td align="center" valign="top">42.73</td>
<td align="center" valign="top">1.75</td>
<td align="center" valign="top">9.12</td>
<td align="center" valign="top">3.84</td>
<td align="center" valign="top">43.12</td>
<td align="center" valign="top">56.88</td>
<td align="center" valign="top">386.85</td>
<td align="center" valign="top">8.44</td>
</tr>
<tr>
<td align="left" valign="top">11</td>
<td align="center" valign="top">50:50</td>
<td align="center" valign="top">0.75</td>
<td align="center" valign="top">35</td>
<td align="center" valign="top">15</td>
<td align="center" valign="top">14.13</td>
<td align="center" valign="top">58.56</td>
<td align="center" valign="top">2.30</td>
<td align="center" valign="top">7.64</td>
<td align="center" valign="top">2.52</td>
<td align="center" valign="top">45.05</td>
<td align="center" valign="top">54.95</td>
<td align="center" valign="top">227.05</td>
<td align="center" valign="top">7.35</td>
</tr>
<tr>
<td align="left" valign="top">12</td>
<td align="center" valign="top">75:25</td>
<td align="center" valign="top">1.00</td>
<td align="center" valign="top">40</td>
<td align="center" valign="top">20</td>
<td align="center" valign="top">13.36</td>
<td align="center" valign="top">62.08</td>
<td align="center" valign="top">2.58</td>
<td align="center" valign="top">8.62</td>
<td align="center" valign="top">2.67</td>
<td align="center" valign="top">40.24</td>
<td align="center" valign="top">59.76</td>
<td align="center" valign="top">317.61</td>
<td align="center" valign="top">7.35</td>
</tr>
<tr>
<td align="left" valign="top">13</td>
<td align="center" valign="top">50:50</td>
<td align="center" valign="top">0.75</td>
<td align="center" valign="top">35</td>
<td align="center" valign="top">15</td>
<td align="center" valign="top">15.17</td>
<td align="center" valign="top">63.06</td>
<td align="center" valign="top">2.31</td>
<td align="center" valign="top">8.41</td>
<td align="center" valign="top">3.10</td>
<td align="center" valign="top">44.65</td>
<td align="center" valign="top">55.35</td>
<td align="center" valign="top">237.30</td>
<td align="center" valign="top">6.96</td>
</tr>
<tr>
<td align="left" valign="top">14</td>
<td align="center" valign="top">25:75</td>
<td align="center" valign="top">1.00</td>
<td align="center" valign="top">30</td>
<td align="center" valign="top">10</td>
<td align="center" valign="top">11.34</td>
<td align="center" valign="top">49.22</td>
<td align="center" valign="top">2.41</td>
<td align="center" valign="top">9.54</td>
<td align="center" valign="top">3.81</td>
<td align="center" valign="top">48.39</td>
<td align="center" valign="top">51.61</td>
<td align="center" valign="top">337.02</td>
<td align="center" valign="top">7.11</td>
</tr>
<tr>
<td align="left" valign="top">15</td>
<td align="center" valign="top">25:75</td>
<td align="center" valign="top">0.50</td>
<td align="center" valign="top">40</td>
<td align="center" valign="top">10</td>
<td align="center" valign="top">12.26</td>
<td align="center" valign="top">44.84</td>
<td align="center" valign="top">2.03</td>
<td align="center" valign="top">7.75</td>
<td align="center" valign="top">3.54</td>
<td align="center" valign="top">44.63</td>
<td align="center" valign="top">55.37</td>
<td align="center" valign="top">364.78</td>
<td align="center" valign="top">7.72</td>
</tr>
<tr>
<td align="left" valign="top">16</td>
<td align="center" valign="top">50:50</td>
<td align="center" valign="top">0.75</td>
<td align="center" valign="top">35</td>
<td align="center" valign="top">15</td>
<td align="center" valign="top">13.76</td>
<td align="center" valign="top">56.17</td>
<td align="center" valign="top">2.27</td>
<td align="center" valign="top">6.87</td>
<td align="center" valign="top">3.03</td>
<td align="center" valign="top">40.41</td>
<td align="center" valign="top">59.59</td>
<td align="center" valign="top">262.77</td>
<td align="center" valign="top">7.02</td>
</tr>
<tr>
<td align="left" valign="top">17</td>
<td align="center" valign="top">50:50</td>
<td align="center" valign="top">0.75</td>
<td align="center" valign="top">35</td>
<td align="center" valign="top">25</td>
<td align="center" valign="top">14.60</td>
<td align="center" valign="top">60.02</td>
<td align="center" valign="top">2.28</td>
<td align="center" valign="top">7.51</td>
<td align="center" valign="top">3.04</td>
<td align="center" valign="top">37.27</td>
<td align="center" valign="top">62.73</td>
<td align="center" valign="top">299.90</td>
<td align="center" valign="top">7.27</td>
</tr>
<tr>
<td align="left" valign="top">18</td>
<td align="center" valign="top">100:0</td>
<td align="center" valign="top">0.75</td>
<td align="center" valign="top">35</td>
<td align="center" valign="top">15</td>
<td align="center" valign="top">17.33</td>
<td align="center" valign="top">74.91</td>
<td align="center" valign="top">2.40</td>
<td align="center" valign="top">7.52</td>
<td align="center" valign="top">1.41</td>
<td align="center" valign="top">30.64</td>
<td align="center" valign="top">69.36</td>
<td align="center" valign="top">248.01</td>
<td align="center" valign="top">6.82</td>
</tr>
<tr>
<td align="left" valign="top">19</td>
<td align="center" valign="top">25:75</td>
<td align="center" valign="top">1.00</td>
<td align="center" valign="top">30</td>
<td align="center" valign="top">20</td>
<td align="center" valign="top">11.83</td>
<td align="center" valign="top">50.24</td>
<td align="center" valign="top">2.36</td>
<td align="center" valign="top">9.65</td>
<td align="center" valign="top">3.28</td>
<td align="center" valign="top">43.90</td>
<td align="center" valign="top">56.10</td>
<td align="center" valign="top">339.53</td>
<td align="center" valign="top">7.10</td>
</tr>
<tr>
<td align="left" valign="top">20</td>
<td align="center" valign="top">25:75</td>
<td align="center" valign="top">0.50</td>
<td align="center" valign="top">30</td>
<td align="center" valign="top">10</td>
<td align="center" valign="top">14.27</td>
<td align="center" valign="top">45.92</td>
<td align="center" valign="top">1.79</td>
<td align="center" valign="top">9.02</td>
<td align="center" valign="top">3.33</td>
<td align="center" valign="top">49.01</td>
<td align="center" valign="top">50.99</td>
<td align="center" valign="top">257.75</td>
<td align="center" valign="top">7.81</td>
</tr>
<tr>
<td align="left" valign="top">21</td>
<td align="center" valign="top">75:25</td>
<td align="center" valign="top">1.00</td>
<td align="center" valign="top">30</td>
<td align="center" valign="top">10</td>
<td align="center" valign="top">13.06</td>
<td align="center" valign="top">62.62</td>
<td align="center" valign="top">2.66</td>
<td align="center" valign="top">8.60</td>
<td align="center" valign="top">2.21</td>
<td align="center" valign="top">46.48</td>
<td align="center" valign="top">53.52</td>
<td align="center" valign="top">243.06</td>
<td align="center" valign="top">7.39</td>
</tr>
<tr>
<td align="left" valign="top">22</td>
<td align="center" valign="top">75:25</td>
<td align="center" valign="top">1.00</td>
<td align="center" valign="top">40</td>
<td align="center" valign="top">10</td>
<td align="center" valign="top">13.62</td>
<td align="center" valign="top">66.08</td>
<td align="center" valign="top">2.70</td>
<td align="center" valign="top">6.98</td>
<td align="center" valign="top">2.02</td>
<td align="center" valign="top">35.48</td>
<td align="center" valign="top">64.52</td>
<td align="center" valign="top">296.35</td>
<td align="center" valign="top">7.81</td>
</tr>
<tr>
<td align="left" valign="top">23</td>
<td align="center" valign="top">50:50</td>
<td align="center" valign="top">0.75</td>
<td align="center" valign="top">35</td>
<td align="center" valign="top">15</td>
<td align="center" valign="top">10.65</td>
<td align="center" valign="top">50.22</td>
<td align="center" valign="top">2.62</td>
<td align="center" valign="top">9.90</td>
<td align="center" valign="top">2.92</td>
<td align="center" valign="top">38.26</td>
<td align="center" valign="top">61.74</td>
<td align="center" valign="top">282.26</td>
<td align="center" valign="top">7.50</td>
</tr>
<tr>
<td align="left" valign="top">24</td>
<td align="center" valign="top">75:25</td>
<td align="center" valign="top">0.50</td>
<td align="center" valign="top">40</td>
<td align="center" valign="top">20</td>
<td align="center" valign="top">13.06</td>
<td align="center" valign="top">60.47</td>
<td align="center" valign="top">2.57</td>
<td align="center" valign="top">7.05</td>
<td align="center" valign="top">1.93</td>
<td align="center" valign="top">43.05</td>
<td align="center" valign="top">56.95</td>
<td align="center" valign="top">256.05</td>
<td align="center" valign="top">7.20</td>
</tr>
<tr>
<td align="left" valign="top">25</td>
<td align="center" valign="top">25:75</td>
<td align="center" valign="top">0.50</td>
<td align="center" valign="top">30</td>
<td align="center" valign="top">20</td>
<td align="center" valign="top">14.39</td>
<td align="center" valign="top">45.93</td>
<td align="center" valign="top">1.77</td>
<td align="center" valign="top">8.35</td>
<td align="center" valign="top">2.81</td>
<td align="center" valign="top">45.81</td>
<td align="center" valign="top">54.19</td>
<td align="center" valign="top">348.54</td>
<td align="center" valign="top">8.64</td>
</tr>
<tr>
<td align="left" valign="top">26</td>
<td align="center" valign="top">25:75</td>
<td align="center" valign="top">0.50</td>
<td align="center" valign="top">40</td>
<td align="center" valign="top">20</td>
<td align="center" valign="top">14.54</td>
<td align="center" valign="top">46.26</td>
<td align="center" valign="top">1.77</td>
<td align="center" valign="top">8.69</td>
<td align="center" valign="top">2.96</td>
<td align="center" valign="top">54.59</td>
<td align="center" valign="top">45.41</td>
<td align="center" valign="top">306.10</td>
<td align="center" valign="top">8.50</td>
</tr>
<tr>
<td align="left" valign="top">27</td>
<td align="center" valign="top">75:25</td>
<td align="center" valign="top">0.50</td>
<td align="center" valign="top">30</td>
<td align="center" valign="top">20</td>
<td align="center" valign="top">14.27</td>
<td align="center" valign="top">68.10</td>
<td align="center" valign="top">2.65</td>
<td align="center" valign="top">8.22</td>
<td align="center" valign="top">2.10</td>
<td align="center" valign="top">35.57</td>
<td align="center" valign="top">64.43</td>
<td align="center" valign="top">254.58</td>
<td align="center" valign="top">6.97</td>
</tr>
<tr>
<td align="left" valign="top">28</td>
<td align="center" valign="top">50:50</td>
<td align="center" valign="top">0.75</td>
<td align="center" valign="top">35</td>
<td align="center" valign="top">15</td>
<td align="center" valign="top">14.37</td>
<td align="center" valign="top">62.05</td>
<td align="center" valign="top">2.40</td>
<td align="center" valign="top">8.04</td>
<td align="center" valign="top">2.19</td>
<td align="center" valign="top">43.74</td>
<td align="center" valign="top">56.26</td>
<td align="center" valign="top">250.00</td>
<td align="center" valign="top">7.44</td>
</tr>
<tr>
<td align="left" valign="top">29</td>
<td align="center" valign="top">25:75</td>
<td align="center" valign="top">1.00</td>
<td align="center" valign="top">40</td>
<td align="center" valign="top">20</td>
<td align="center" valign="top">11.69</td>
<td align="center" valign="top">50.54</td>
<td align="center" valign="top">2.40</td>
<td align="center" valign="top">9.28</td>
<td align="center" valign="top">2.71</td>
<td align="center" valign="top">37.02</td>
<td align="center" valign="top">62.98</td>
<td align="center" valign="top">384.26</td>
<td align="center" valign="top">7.26</td>
</tr>
<tr>
<td align="left" valign="top">30</td>
<td align="center" valign="top">50:50</td>
<td align="center" valign="top">1.25</td>
<td align="center" valign="top">35</td>
<td align="center" valign="top">15</td>
<td align="center" valign="top">14.13</td>
<td align="center" valign="top">56.37</td>
<td align="center" valign="top">2.22</td>
<td align="center" valign="top">7.72</td>
<td align="center" valign="top">2.14</td>
<td align="center" valign="top">38.23</td>
<td align="center" valign="top">61.77</td>
<td align="center" valign="top">334.15</td>
<td align="center" valign="top">7.02</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p>HM:CM, horse manure-to-chicken manure composition; PS, particle size; CP, composting period; BAA, bulking agent amount; C/N, carbon-to-nitrogen; OM, organic matter; N, nitrogen; P, phosphorus; K, potassium; DM, dry matter; MC, moisture content; BD, bulk density.</p>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="sec6">
<label>2.4</label>
<title>Sampling and physicochemical analysis</title>
<p>Sampling was carried out on day 25, 30, 35, 40, and 45 (<italic>n</italic>&#x2009;=&#x2009;30), according to the composting period (X3). Compost physicochemical quality parameters (OM, N, C/N, P, K, DM, MC, pH, and BD) were determined on the final day of the composting process. The gravimetric method was used to determine DM and MC by drying the compost sample (at 105&#x00B0;C for 24&#x2009;h) and weighing moisture loss. pH was measured by using a digital pH meter, calibrated using pH4 and pH7. Organic carbon and organic matter (OM) contents were calculated as follows: Organic carbon (%)&#x2009;=&#x2009;OM (%)/1.8, OM (%) =100-Ash (%) (<xref ref-type="bibr" rid="ref3">Adhikari et al., 2009</xref>; <xref ref-type="bibr" rid="ref61">Sharma et al., 2018</xref>). The content of ash was determined as the difference between the dry matter content and the gravimetric loss-on-ignition produced by ashing the previously dried samples, at 550&#x00B0;C for 8&#x2009;h (<xref ref-type="bibr" rid="ref24">Hazarika and Khwairakpam, 2018</xref>; <xref ref-type="bibr" rid="ref30">Jain et al., 2018</xref>). Total N (%) was determined by the Kjeldahl method using the FOSS Protein Analyzer for the distillation process. Total P and K contents were determined via extraction by single dry ashing method which is commonly used for organic materials. Blue color development (Blue Method) using a spectrophotometer was applied for P determination while K was determined by using Atomic Absorption Spectroscopy (AAS). BD was determined by dividing the mass of the sample by its volume.</p>
</sec>
<sec id="sec7">
<label>2.5</label>
<title>Statistical analysis and RSM optimization</title>
<p>Data obtained from the laboratory procedures conducted were analyzed using RSM employed in Design Expert Software. From RSM, Analysis of Variance (ANOVA) results were calculated based on 95% confidence intervals. The models exhibited were considered reliable based on the following conditions: (1) the <italic>p</italic>-value of the model was lower than 0.05, (2) insignificant lack of fit test (<italic>p</italic>-value &#x003E;0.05), (3) R<sup>2</sup> adjusted was within 0.6&#x2013;1.0 (<xref ref-type="bibr" rid="ref48">Mohamad Mazlan et al., 2019</xref>). These conditions are necessary for designing spatial modeling and numerical optimization. The models selected were linear, two-factor interaction (2FI), and quadratic as suggested by the software. The fitted polynomial equation was expressed in the form of perturbation graphs for linear models and three-dimensional (3D) surface plots for 2FI and quadratic models. Coefficient estimates (CE) have positive and negative values that provide valuable information about the direction and magnitude of the relationships between the independent factors and the response variables (<xref ref-type="bibr" rid="ref52">Pashaei et al., 2020</xref>). Response variables with significant models were optimized through numerical optimization by using the desirability function. Listed solutions with desirability at almost 1.000 or exactly 1.000 were selected as the optimized condition.</p>
</sec>
<sec id="sec8">
<label>2.6</label>
<title>Validation of RSM models</title>
<p>The comparison between the predicted optimal values and the actual experimental values was essential for the validation of RSM models. The validation analysis was conducted using root mean square prediction error (RMSPE).</p>
</sec>
</sec>
<sec sec-type="results" id="sec9">
<label>3</label>
<title>Results and discussion</title>
<sec id="sec10">
<label>3.1</label>
<title>Physicochemical properties analysis of feedstocks</title>
<p>The physicochemical properties of feedstock can influence the composting process and final compost quality. <xref ref-type="table" rid="tab3">Table 3</xref> presents the physicochemical properties of each feedstock utilized in this study. The physicochemical properties analysis revealed that HM had the highest OM content at 82.01%&#x2009;&#x00B1;&#x2009;0.09%, followed by WW (62.12%&#x2009;&#x00B1;&#x2009;1.93%), and CM (59.03%&#x2009;&#x00B1;&#x2009;1.1%). CM recorded the highest N content at 2.81%&#x2009;&#x00B1;&#x2009;0.15%, followed by WW (2.20%&#x2009;&#x00B1;&#x2009;0.07%), and HM (1.79%&#x2009;&#x00B1;&#x2009;0.02%). Additionally, CM displayed the highest DM content at 95.0%&#x2009;&#x00B1;&#x2009;1.41%, whereas WW had the lowest at 2.9%&#x2009;&#x00B1;&#x2009;0.15%. Contrastingly, WW exhibited the highest MC at 97.09%&#x2009;&#x00B1;&#x2009;0.15%, while CM had the lowest at 5.0%&#x2009;&#x00B1;&#x2009;1.41%.</p>
<table-wrap position="float" id="tab3">
<label>Table 3</label>
<caption>
<p>Physicochemical properties analysis of feedstocks.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top" rowspan="2">Parameter (unit)</th>
<th align="center" valign="top" colspan="3">Feedstock</th>
</tr>
<tr>
<th align="center" valign="top">Horse manure</th>
<th align="center" valign="top">Chicken manure</th>
<th align="center" valign="top">Watermelon waste</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top">OM (%)</td>
<td align="center" valign="top">82.01&#x2009;&#x00B1;&#x2009;0.09</td>
<td align="center" valign="top">59.03&#x2009;&#x00B1;&#x2009;1.10</td>
<td align="center" valign="top">62.12&#x2009;&#x00B1;&#x2009;1.93</td>
</tr>
<tr>
<td align="left" valign="top">C (%)</td>
<td align="center" valign="top">45.56&#x2009;&#x00B1;&#x2009;0.09</td>
<td align="center" valign="top">32.79&#x2009;&#x00B1;&#x2009;1.10</td>
<td align="center" valign="top">34.51&#x2009;&#x00B1;&#x2009;1.93</td>
</tr>
<tr>
<td align="left" valign="top">N (%)</td>
<td align="center" valign="top">1.79&#x2009;&#x00B1;&#x2009;0.02</td>
<td align="center" valign="top">2.81&#x2009;&#x00B1;&#x2009;0.15</td>
<td align="center" valign="top">2.20&#x2009;&#x00B1;&#x2009;0.07</td>
</tr>
<tr>
<td align="left" valign="top">P (%)</td>
<td align="center" valign="top">5.84&#x2009;&#x00B1;&#x2009;0.10</td>
<td align="center" valign="top">6.93&#x2009;&#x00B1;&#x2009;0.15</td>
<td align="center" valign="top">0.68&#x2009;&#x00B1;&#x2009;0.07</td>
</tr>
<tr>
<td align="left" valign="top">K (%)</td>
<td align="center" valign="middle">0.619&#x2009;&#x00B1;&#x2009;0.002</td>
<td align="center" valign="top">1.94&#x2009;&#x00B1;&#x2009;0.09</td>
<td align="center" valign="top">2.08&#x2009;&#x00B1;&#x2009;0.22</td>
</tr>
<tr>
<td align="left" valign="top">C/N</td>
<td align="center" valign="top">25.34&#x2009;&#x00B1;&#x2009;0.18</td>
<td align="center" valign="top">11.70&#x2009;&#x00B1;&#x2009;0.80</td>
<td align="center" valign="top">15.57&#x2009;&#x00B1;&#x2009;0.25</td>
</tr>
<tr>
<td align="left" valign="top">DM (%)</td>
<td align="center" valign="top">25.32&#x2009;&#x00B1;&#x2009;1.01</td>
<td align="center" valign="top">95.00&#x2009;&#x00B1;&#x2009;1.41</td>
<td align="center" valign="top">2.91&#x2009;&#x00B1;&#x2009;0.15</td>
</tr>
<tr>
<td align="left" valign="top">MC (%)</td>
<td align="center" valign="top">74.68&#x2009;&#x00B1;&#x2009;1.01</td>
<td align="center" valign="top">5.00&#x2009;&#x00B1;&#x2009;1.41</td>
<td align="center" valign="top">97.09&#x2009;&#x00B1;&#x2009;0.15</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p>Mean&#x2009;&#x00B1;&#x2009;standard deviation; OM, organic matter; N, nitrogen; P, phosphorus; K, potassium; C/N, carbon-to-nitrogen ratio; DM, dry matter; MC, moisture content.</p>
</table-wrap-foot>
</table-wrap>
<p>Based on the results, HM exhibited an exceptionally high level of organic matter (&#x003E;80%). This is likely attributed to horses&#x2019; heavy consumption of green roughage, which is the primary source of carbon. Carbon is the key component of organic matter (<xref ref-type="bibr" rid="ref3">Adhikari et al., 2009</xref>; <xref ref-type="bibr" rid="ref61">Sharma et al., 2018</xref>). Additionally, it was also proven that the animal&#x2019;s diet significantly influenced the nutrient quality of manure (<xref ref-type="bibr" rid="ref22">Hadin et al., 2016</xref>). CM demonstrated the lowest carbon content and the highest nitrogen content, resulting in the lowest C/N among the feedstocks tested. Conversely, HM had the highest C/N due to its high carbon and low nitrogen content. This study reveals that HM and CM offer complementary benefits by providing an optimal C/N in the compost mixture. The N content of WW was only marginally lower (0.6%) than that of CM, consistent with previous studies by <xref ref-type="bibr" rid="ref47">Mo et al. (2016)</xref> and <xref ref-type="bibr" rid="ref57">Romelle et al. (2016)</xref>. CM reported a MC of only 5%, whereas earlier studies reported values ranging from 72.6 to 78.1% (<xref ref-type="bibr" rid="ref32">Jifeng et al., 2017</xref>; <xref ref-type="bibr" rid="ref35">Kong et al., 2018</xref>; <xref ref-type="bibr" rid="ref42">Liu et al., 2019</xref>). This distinctive difference could be attributed to the fact that CM utilized in this study was dried litter stored in an empty barn for three to 4&#x2009;months before collection.</p>
</sec>
<sec id="sec11">
<label>3.2</label>
<title>Response surface analysis on physicochemical quality properties</title>
<p>The derived models for each response variable offer valuable insights into navigating the design space. <xref ref-type="table" rid="tab2">Table 2</xref> presents the experimental design and the corresponding nine response variables of physicochemical quality determined. The regression equations parameterized with independent factors for each significant response variable are shown in <xref ref-type="disp-formula" rid="EQ2">Eqs. 2</xref>&#x2013;<xref ref-type="disp-formula" rid="EQ8">8</xref>:</p>
<disp-formula id="EQ2">
<label>(2)</label>
<mml:math id="M2">
<mml:mi mathvariant="normal">Organic</mml:mi>
<mml:mspace width="0.25em"/>
<mml:mi mathvariant="normal">Matter</mml:mi>
<mml:mo>=</mml:mo>
<mml:mn>56.52</mml:mn>
<mml:mo>+</mml:mo>
<mml:mn>7.53</mml:mn>
<mml:msub>
<mml:mi>X</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:mn>1.81</mml:mn>
<mml:msub>
<mml:mi>X</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:mn>0.20</mml:mn>
<mml:msub>
<mml:mi>X</mml:mi>
<mml:mn>3</mml:mn>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:mn>1.05</mml:mn>
<mml:msub>
<mml:mi>X</mml:mi>
<mml:mn>4</mml:mn>
</mml:msub>
</mml:math>
</disp-formula>
<disp-formula id="EQ3">
<label>(3)</label>
<mml:math id="M3">
<mml:mi mathvariant="normal">Nitrogen</mml:mi>
<mml:mo>=</mml:mo>
<mml:mn>2.29</mml:mn>
<mml:mo>+</mml:mo>
<mml:mn>0.21</mml:mn>
<mml:msub>
<mml:mi mathvariant="normal">X</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:mn>0.11</mml:mn>
<mml:msub>
<mml:mi mathvariant="normal">X</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:mn>0.034</mml:mn>
<mml:msub>
<mml:mi mathvariant="normal">X</mml:mi>
<mml:mn>3</mml:mn>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:mn>0.020</mml:mn>
<mml:msub>
<mml:mi mathvariant="normal">X</mml:mi>
<mml:mn>4</mml:mn>
</mml:msub>
</mml:math>
</disp-formula>
<disp-formula id="EQ4">
<label>(4)</label>
<mml:math id="M4">
<mml:mi mathvariant="normal">Potassium</mml:mi>
<mml:mo>=</mml:mo>
<mml:mn>2.83</mml:mn>
<mml:mo>+</mml:mo>
<mml:mn>0.51</mml:mn>
<mml:msub>
<mml:mi mathvariant="normal">X</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:mn>0.058</mml:mn>
<mml:msub>
<mml:mi mathvariant="normal">X</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:mn>0.032</mml:mn>
<mml:msub>
<mml:mi mathvariant="normal">X</mml:mi>
<mml:mn>3</mml:mn>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:mn>0.15</mml:mn>
<mml:msub>
<mml:mi mathvariant="normal">X</mml:mi>
<mml:mn>4</mml:mn>
</mml:msub>
</mml:math>
</disp-formula>
<disp-formula id="EQ5">
<label>(5)</label>
<mml:math id="M5">
<mml:mtable columnalign="left">
<mml:mtr>
<mml:mtd>
<mml:mi mathvariant="normal">Dry</mml:mi>
<mml:mspace width="0.25em"/>
<mml:mi mathvariant="normal">Matter</mml:mi>
<mml:mo>=</mml:mo>
<mml:mn>41.64</mml:mn>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>3.06</mml:mn>
<mml:msub>
<mml:mi mathvariant="normal">X</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1.38</mml:mn>
<mml:msub>
<mml:mi mathvariant="normal">X</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>0.92</mml:mn>
<mml:msub>
<mml:mi mathvariant="normal">X</mml:mi>
<mml:mn>3</mml:mn>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>0.70</mml:mn>
<mml:msub>
<mml:mi mathvariant="normal">X</mml:mi>
<mml:mn>4</mml:mn>
</mml:msub>
</mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd>
<mml:mspace width="7.75em"/>
<mml:mo>+</mml:mo>
<mml:mn>1.72</mml:mn>
<mml:msub>
<mml:mi mathvariant="normal">X</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
<mml:msub>
<mml:mi mathvariant="normal">X</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:mn>1.03</mml:mn>
<mml:msub>
<mml:mi mathvariant="normal">X</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
<mml:msub>
<mml:mi mathvariant="normal">X</mml:mi>
<mml:mn>3</mml:mn>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>0.36</mml:mn>
<mml:msub>
<mml:mi mathvariant="normal">X</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
<mml:msub>
<mml:mi mathvariant="normal">X</mml:mi>
<mml:mn>4</mml:mn>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>2.34</mml:mn>
<mml:msub>
<mml:mi mathvariant="normal">X</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:msub>
<mml:mi mathvariant="normal">X</mml:mi>
<mml:mn>3</mml:mn>
</mml:msub>
</mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd>
<mml:mspace width="8em"/>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1.28</mml:mn>
<mml:msub>
<mml:mi mathvariant="normal">X</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:msub>
<mml:mi mathvariant="normal">X</mml:mi>
<mml:mn>4</mml:mn>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:mn>2.28</mml:mn>
<mml:msub>
<mml:mi mathvariant="normal">X</mml:mi>
<mml:mn>3</mml:mn>
</mml:msub>
<mml:msub>
<mml:mi mathvariant="normal">X</mml:mi>
<mml:mn>4</mml:mn>
</mml:msub>
<mml:mspace width="0.25em"/>
</mml:mtd>
</mml:mtr>
</mml:mtable>
</mml:math>
</disp-formula>
<disp-formula id="EQ6">
<label>(6)</label>
<mml:math id="M6">
<mml:mtable columnalign="left">
<mml:mtr>
<mml:mtd>
<mml:mi mathvariant="normal">Moisture Content</mml:mi>
<mml:mo>=</mml:mo>
<mml:mn>58.36</mml:mn>
<mml:mo>+</mml:mo>
<mml:mn>3.06</mml:mn>
<mml:msub>
<mml:mi mathvariant="normal">X</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:mn>1.37</mml:mn>
<mml:msub>
<mml:mi mathvariant="normal">X</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:mn>0.92</mml:mn>
<mml:msub>
<mml:mi mathvariant="normal">X</mml:mi>
<mml:mn>3</mml:mn>
</mml:msub>
</mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd>
<mml:mspace width="11.75em"/>
<mml:mo>+</mml:mo>
<mml:mn>0.70</mml:mn>
<mml:msub>
<mml:mi mathvariant="normal">X</mml:mi>
<mml:mn>4</mml:mn>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1.72</mml:mn>
<mml:msub>
<mml:mi mathvariant="normal">X</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
<mml:msub>
<mml:mi mathvariant="normal">X</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1.03</mml:mn>
<mml:msub>
<mml:mi mathvariant="normal">X</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
<mml:msub>
<mml:mi mathvariant="normal">X</mml:mi>
<mml:mn>3</mml:mn>
</mml:msub>
</mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd>
<mml:mspace width="11.75em"/>
<mml:mo>+</mml:mo>
<mml:mn>0.36</mml:mn>
<mml:msub>
<mml:mi mathvariant="normal">X</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
<mml:msub>
<mml:mi mathvariant="normal">X</mml:mi>
<mml:mn>4</mml:mn>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:mn>2.34</mml:mn>
<mml:msub>
<mml:mi mathvariant="normal">X</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:msub>
<mml:mi mathvariant="normal">X</mml:mi>
<mml:mn>3</mml:mn>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:mn>1.28</mml:mn>
<mml:msub>
<mml:mi mathvariant="normal">X</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:msub>
<mml:mi mathvariant="normal">X</mml:mi>
<mml:mn>4</mml:mn>
</mml:msub>
</mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd>
<mml:mspace width="11.75em"/>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>2.28</mml:mn>
<mml:msub>
<mml:mi mathvariant="normal">X</mml:mi>
<mml:mn>3</mml:mn>
</mml:msub>
<mml:msub>
<mml:mi mathvariant="normal">X</mml:mi>
<mml:mn>4</mml:mn>
</mml:msub>
</mml:mtd>
</mml:mtr>
</mml:mtable>
</mml:math>
</disp-formula>
<disp-formula id="EQ7">
<label>(7)</label>
<mml:math id="M7">
<mml:mtable columnalign="left">
<mml:mtr>
<mml:mtd>
<mml:mi mathvariant="normal">p</mml:mi>
<mml:mi mathvariant="normal">H</mml:mi>
<mml:mo>=</mml:mo>
<mml:mn>7.43</mml:mn>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>0.31</mml:mn>
<mml:msub>
<mml:mi mathvariant="normal">X</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>0.092</mml:mn>
<mml:msub>
<mml:mi mathvariant="normal">X</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:mn>0.059</mml:mn>
<mml:msub>
<mml:mi mathvariant="normal">X</mml:mi>
<mml:mn>3</mml:mn>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>0.02</mml:mn>
<mml:msub>
<mml:mi mathvariant="normal">X</mml:mi>
<mml:mn>4</mml:mn>
</mml:msub>
</mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd>
<mml:mspace width="3.25em"/>
<mml:mo>+</mml:mo>
<mml:mn>0.22</mml:mn>
<mml:msub>
<mml:mi mathvariant="normal">X</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
<mml:msub>
<mml:mi mathvariant="normal">X</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>0.0069</mml:mn>
<mml:msub>
<mml:mi mathvariant="normal">X</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
<mml:msub>
<mml:mi mathvariant="normal">X</mml:mi>
<mml:mn>3</mml:mn>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>0.13</mml:mn>
<mml:msub>
<mml:mi mathvariant="normal">X</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
<mml:msub>
<mml:mi mathvariant="normal">X</mml:mi>
<mml:mn>3</mml:mn>
</mml:msub>
</mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd>
<mml:mspace width="3.25em"/>
<mml:mo>+</mml:mo>
<mml:mn>0.15</mml:mn>
<mml:msub>
<mml:mi mathvariant="normal">X</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:msub>
<mml:mi mathvariant="normal">X</mml:mi>
<mml:mn>3</mml:mn>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>0.20</mml:mn>
<mml:msub>
<mml:mi mathvariant="normal">X</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:msub>
<mml:mi mathvariant="normal">X</mml:mi>
<mml:mn>4</mml:mn>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>0.043</mml:mn>
<mml:msub>
<mml:mi mathvariant="normal">X</mml:mi>
<mml:mn>3</mml:mn>
</mml:msub>
<mml:msub>
<mml:mi mathvariant="normal">X</mml:mi>
<mml:mn>4</mml:mn>
</mml:msub>
</mml:mtd>
</mml:mtr>
</mml:mtable>
</mml:math>
</disp-formula>
<disp-formula id="EQ8">
<label>(8)</label>
<mml:math id="M8">
<mml:mtable columnalign="left">
<mml:mtr>
<mml:mtd>
<mml:mi mathvariant="normal">Bulk Density</mml:mi>
<mml:mo>=</mml:mo>
<mml:mn>246.70</mml:mn>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>36.48</mml:mn>
<mml:msub>
<mml:mi mathvariant="normal">X</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:mn>9.10</mml:mn>
<mml:msub>
<mml:mi mathvariant="normal">X</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:mn>23.42</mml:mn>
<mml:msub>
<mml:mi mathvariant="normal">X</mml:mi>
<mml:mn>3</mml:mn>
</mml:msub>
</mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd>
<mml:mspace width="9.25em"/>
<mml:mo>+</mml:mo>
<mml:mn>4.18</mml:mn>
<mml:msub>
<mml:mi mathvariant="normal">X</mml:mi>
<mml:mn>4</mml:mn>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>4.05</mml:mn>
<mml:msub>
<mml:mi mathvariant="normal">X</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
<mml:msub>
<mml:mi mathvariant="normal">X</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:mn>1.11</mml:mn>
<mml:msub>
<mml:mi mathvariant="normal">X</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
<mml:msub>
<mml:mi mathvariant="normal">X</mml:mi>
<mml:mn>3</mml:mn>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>2.24</mml:mn>
<mml:msub>
<mml:mi mathvariant="normal">X</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
<mml:msub>
<mml:mi mathvariant="normal">X</mml:mi>
<mml:mn>4</mml:mn>
</mml:msub>
</mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd>
<mml:mspace width="9.25em"/>
<mml:mo>+</mml:mo>
<mml:mn>8.02</mml:mn>
<mml:msub>
<mml:mi mathvariant="normal">X</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:msub>
<mml:mi mathvariant="normal">X</mml:mi>
<mml:mn>3</mml:mn>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>0.33</mml:mn>
<mml:msub>
<mml:mi mathvariant="normal">X</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:msub>
<mml:mi mathvariant="normal">X</mml:mi>
<mml:mn>4</mml:mn>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>6.74</mml:mn>
<mml:msub>
<mml:mi mathvariant="normal">X</mml:mi>
<mml:mn>3</mml:mn>
</mml:msub>
<mml:msub>
<mml:mi mathvariant="normal">X</mml:mi>
<mml:mn>4</mml:mn>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:mn>19.27</mml:mn>
<mml:msup>
<mml:mi mathvariant="normal">X</mml:mi>
<mml:mn>2</mml:mn>
</mml:msup>
<mml:mn>1</mml:mn>
</mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd>
<mml:mspace width="9.25em"/>
<mml:mo>+</mml:mo>
<mml:mn>23.81</mml:mn>
<mml:msup>
<mml:mi mathvariant="normal">X</mml:mi>
<mml:mn>2</mml:mn>
</mml:msup>
<mml:mn>2</mml:mn>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>6.59</mml:mn>
<mml:msup>
<mml:mi mathvariant="normal">X</mml:mi>
<mml:mn>2</mml:mn>
</mml:msup>
<mml:mn>3</mml:mn>
<mml:mo>+</mml:mo>
<mml:mn>13.62</mml:mn>
<mml:msup>
<mml:mi mathvariant="normal">X</mml:mi>
<mml:mn>2</mml:mn>
</mml:msup>
<mml:mn>4</mml:mn>
</mml:mtd>
</mml:mtr>
</mml:mtable>
</mml:math>
</disp-formula>
<p><xref ref-type="table" rid="tab4">Table 4</xref> presents the predictability of the linear model that was applied to explain the effects of the independent factors on OM (<xref ref-type="disp-formula" rid="EQ2">Eq. 2</xref>), N (<xref ref-type="disp-formula" rid="EQ3">Eq. 3</xref>), and K (<xref ref-type="disp-formula" rid="EQ4">Eq. 4</xref>). <xref ref-type="table" rid="tab5">Table 5</xref> presents the predictability of the 2FI model to explain the interaction effects of DM (<xref ref-type="disp-formula" rid="EQ5">Eq. 5</xref>), MC (<xref ref-type="disp-formula" rid="EQ6">Eq. 6</xref>), and pH (<xref ref-type="disp-formula" rid="EQ7">Eq. 7</xref>). A quadratic model was employed for BD (<xref ref-type="disp-formula" rid="EQ8">Eq. 8</xref>), and the model&#x2019;s predictability is shown in <xref ref-type="table" rid="tab6">Table 6</xref>. Statistical analysis from ANOVA results indicated that the <italic>p</italic>-value for the &#x201C;Lack of Fit test&#x201D; was insignificant across all response variables, implying that the models were well-fitted to the data. All response variables, except for C/N and P, had <italic>p</italic>-values less than 0.05, suggesting their statistical significance. Thus, only significant variables will be discussed further. The coefficients of the polynomial equations were calculated based on experimental data to estimate the response variable values relative to the independent factors (<xref ref-type="table" rid="tab7">Table 7</xref>).</p>
<table-wrap position="float" id="tab4">
<label>Table 4</label>
<caption>
<p>Predictability of response variables for linear models.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top">Source</th>
<th align="center" valign="top">Degrees of freedom</th>
<th align="center" valign="top">Sum of squares</th>
<th align="center" valign="top">Mean square</th>
<th align="center" valign="top">Report F</th>
<th align="center" valign="top">Prob. &#x003E; F</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top">OM</td>
<td/>
<td/>
<td/>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="top">Model</td>
<td align="center" valign="top">4</td>
<td align="center" valign="top">1465.37</td>
<td align="center" valign="top">355.34</td>
<td align="center" valign="top">23.47</td>
<td align="center" valign="top">&#x003C;0.0001&#x002A;</td>
</tr>
<tr>
<td align="left" valign="top">Error</td>
<td align="center" valign="top">25</td>
<td align="center" valign="top">390.25</td>
<td align="center" valign="top">15.61</td>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="top">Lack of fit</td>
<td align="center" valign="top">20</td>
<td align="center" valign="top">276.46</td>
<td align="center" valign="top">13.82</td>
<td align="center" valign="top">0.61</td>
<td align="center" valign="top">0.8063</td>
</tr>
<tr>
<td align="left" valign="top">Total corrected</td>
<td align="center" valign="top">29</td>
<td align="center" valign="top">1855.62</td>
<td/>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="top"><italic>R</italic><sup>2</sup></td>
<td align="center" valign="top">0.79</td>
<td align="center" valign="top">R<sup>2</sup> adjusted</td>
<td align="center" valign="top">0.76</td>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="top" colspan="6">N</td>
</tr>
<tr>
<td align="left" valign="top">Model</td>
<td align="center" valign="top">4</td>
<td align="center" valign="top">1.41</td>
<td align="center" valign="top">0.35</td>
<td align="center" valign="top">10.55</td>
<td align="center" valign="top">&#x003C;0.0001&#x002A;</td>
</tr>
<tr>
<td align="left" valign="top">Error</td>
<td align="center" valign="top">25</td>
<td align="center" valign="top">0.83</td>
<td align="center" valign="top">0.033</td>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="top">Lack of fit</td>
<td align="center" valign="top">20</td>
<td align="center" valign="top">0.74</td>
<td align="center" valign="top">0.037</td>
<td align="center" valign="top">1.88</td>
<td align="center" valign="top">0.2495</td>
</tr>
<tr>
<td align="left" valign="top">Total corrected</td>
<td align="center" valign="top">29</td>
<td align="center" valign="top">2.24</td>
<td/>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="top">R<sup>2</sup></td>
<td align="center" valign="top">0.63</td>
<td align="center" valign="top">R<sup>2</sup> adjusted</td>
<td align="center" valign="top">0.57</td>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="top" colspan="6">K</td>
</tr>
<tr>
<td align="left" valign="top">Model</td>
<td align="center" valign="top">4</td>
<td align="center" valign="top">6.87</td>
<td align="center" valign="top">1.72</td>
<td align="center" valign="top">12.03</td>
<td align="center" valign="top">&#x003C;0.0001&#x002A;</td>
</tr>
<tr>
<td align="left" valign="top">Error</td>
<td align="center" valign="top">25</td>
<td align="center" valign="top">3.57</td>
<td align="center" valign="top">0.14</td>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="top">Lack of fit</td>
<td align="center" valign="top">20</td>
<td align="center" valign="top">2.72</td>
<td align="center" valign="top">0.14</td>
<td align="center" valign="top">0.80</td>
<td align="center" valign="top">0.6744</td>
</tr>
<tr>
<td align="left" valign="top">Total corrected</td>
<td align="center" valign="top">29</td>
<td align="center" valign="top">10.43</td>
<td/>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="top">R<sup>2</sup></td>
<td align="center" valign="top">0.66</td>
<td align="center" valign="top">R<sup>2</sup> adjusted</td>
<td align="center" valign="top">0.6</td>
<td/>
<td/>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p>OM, organic matter; N, nitrogen; K, potassium; &#x002A; = significant variable.</p>
</table-wrap-foot>
</table-wrap>
<table-wrap position="float" id="tab5">
<label>Table 5</label>
<caption>
<p>Predictability of response variables for 2FI models.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top">Source</th>
<th align="center" valign="top">Degrees of freedom</th>
<th align="center" valign="top">Sum of squares</th>
<th align="center" valign="top">Mean square</th>
<th align="center" valign="top">Report F</th>
<th align="center" valign="top">Prob. &#x003E; F</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top">DM</td>
<td/>
<td/>
<td/>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="top">Model</td>
<td align="center" valign="top">10</td>
<td align="center" valign="top">565.40</td>
<td align="center" valign="top">56.54</td>
<td align="center" valign="top">4.7</td>
<td align="center" valign="top">0.0019&#x002A;</td>
</tr>
<tr>
<td align="left" valign="top">Error</td>
<td align="center" valign="top">19</td>
<td align="center" valign="top">228.57</td>
<td align="center" valign="top">12.03</td>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="top">Lack of fit</td>
<td align="center" valign="top">14</td>
<td align="center" valign="top">153.02</td>
<td align="center" valign="top">10.93</td>
<td align="center" valign="top">0.72</td>
<td align="center" valign="top">0.7107</td>
</tr>
<tr>
<td align="left" valign="top">Total corrected</td>
<td align="center" valign="top">29</td>
<td align="center" valign="top">793.97</td>
<td/>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="top">R<sup>2</sup></td>
<td align="center" valign="top">0.71</td>
<td align="center" valign="top">R<sup>2</sup> adjusted</td>
<td align="center" valign="top">0.56</td>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="top" colspan="6">MC</td>
</tr>
<tr>
<td align="left" valign="top">Model</td>
<td align="center" valign="top">10</td>
<td align="center" valign="top">565.40</td>
<td align="center" valign="top">56.54</td>
<td align="center" valign="top">4.7</td>
<td align="center" valign="top">0.0019&#x002A;</td>
</tr>
<tr>
<td align="left" valign="top">Error</td>
<td align="center" valign="top">19</td>
<td align="center" valign="top">228.57</td>
<td align="center" valign="top">12.03</td>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="top">Lack of fit</td>
<td align="center" valign="top">14</td>
<td align="center" valign="top">153.02</td>
<td align="center" valign="top">10.93</td>
<td align="center" valign="top">0.72</td>
<td align="center" valign="top">0.7107</td>
</tr>
<tr>
<td align="left" valign="top">Total corrected</td>
<td align="center" valign="top">29</td>
<td align="center" valign="top">793.97</td>
<td/>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="top">R<sup>2</sup></td>
<td align="center" valign="top">0.71</td>
<td align="center" valign="top">R<sup>2</sup> adjusted</td>
<td align="center" valign="top">0.56</td>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="top" colspan="6">pH</td>
</tr>
<tr>
<td align="left" valign="top">Model</td>
<td align="center" valign="top">10</td>
<td align="center" valign="top">4.65</td>
<td align="center" valign="top">0.46</td>
<td align="center" valign="top">3.65</td>
<td align="center" valign="top">0.0074&#x002A;</td>
</tr>
<tr>
<td align="left" valign="top">Error</td>
<td align="center" valign="top">19</td>
<td align="center" valign="top">2.42</td>
<td align="center" valign="top">0.13</td>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="top">Lack of fit</td>
<td align="center" valign="top">14</td>
<td align="center" valign="top">2.09</td>
<td align="center" valign="top">0.15</td>
<td align="center" valign="top">2.27</td>
<td align="center" valign="top">0.1868</td>
</tr>
<tr>
<td align="left" valign="top">Total corrected</td>
<td align="center" valign="top">29</td>
<td align="center" valign="top">7.07</td>
<td/>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="top">R<sup>2</sup></td>
<td align="center" valign="top">0.66</td>
<td align="center" valign="top">R<sup>2</sup> adjusted</td>
<td align="center" valign="top">0.48</td>
<td/>
<td/>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p>DM, dry matter; MC, moisture content; &#x002A; = significant variable.</p>
</table-wrap-foot>
</table-wrap>
<table-wrap position="float" id="tab6">
<label>Table 6</label>
<caption>
<p>Predictability of response variable for quadratic model.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top">Source</th>
<th align="center" valign="top">Degrees of freedom</th>
<th align="center" valign="top">Sum of squares</th>
<th align="center" valign="top">Mean square</th>
<th align="center" valign="top">Report F</th>
<th align="center" valign="top">Prob. &#x003E; F</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top">BD</td>
<td/>
<td/>
<td/>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="top">Model</td>
<td align="center" valign="top">14</td>
<td align="center" valign="top">1.449&#x00D7;10<sup>005</sup></td>
<td align="center" valign="top">10351.35</td>
<td align="center" valign="top">7.01</td>
<td align="center" valign="top">0.0003&#x002A;</td>
</tr>
<tr>
<td align="left" valign="top">Error</td>
<td align="center" valign="top">15</td>
<td align="center" valign="top">22162.39</td>
<td align="center" valign="top">1477.49</td>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="top">Lack of fit</td>
<td align="center" valign="top">10</td>
<td align="center" valign="top">9397.97</td>
<td align="center" valign="top">939.80</td>
<td align="center" valign="top">1.76</td>
<td align="center" valign="top">0.2776</td>
</tr>
<tr>
<td align="left" valign="top">Total corrected</td>
<td align="center" valign="top">29</td>
<td align="center" valign="top">1.671&#x00D7;10<sup>005</sup></td>
<td/>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="top">R<sup>2</sup></td>
<td align="center" valign="top">0.87</td>
<td align="center" valign="top">R<sup>2</sup> adjusted</td>
<td align="center" valign="top">0.74</td>
<td/>
<td/>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p>BD, bulk density; &#x002A; = significant variable.</p>
</table-wrap-foot>
</table-wrap>
<table-wrap position="float" id="tab7">
<label>Table 7</label>
<caption>
<p>Coefficient estimate (CE) values for each response variables.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top">Coefficient estimates</th>
<th align="center" valign="top">OM (%)</th>
<th align="center" valign="top">N (%)</th>
<th align="center" valign="top">K (%)</th>
<th align="center" valign="top">DM (%)</th>
<th align="center" valign="top">MC (%)</th>
<th align="center" valign="top">pH</th>
<th align="center" valign="top">BD (kg/m<sup>3</sup>)</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="middle">Model</td>
<td align="center" valign="middle">56.52</td>
<td align="center" valign="middle">2.29</td>
<td align="center" valign="middle">2.83</td>
<td align="center" valign="middle">41.64</td>
<td align="center" valign="middle">58.36</td>
<td align="center" valign="middle">7.43</td>
<td align="center" valign="middle">286.79</td>
</tr>
<tr>
<td align="left" valign="middle">A</td>
<td align="center" valign="middle">7.53</td>
<td align="center" valign="middle">0.21</td>
<td align="center" valign="middle">&#x2212;0.51</td>
<td align="center" valign="middle">&#x2212;3.05</td>
<td align="center" valign="middle">3.06</td>
<td align="center" valign="middle">&#x2212;0.31</td>
<td align="center" valign="middle">&#x2212;36.48</td>
</tr>
<tr>
<td align="left" valign="middle">B</td>
<td align="center" valign="middle">1.81</td>
<td align="center" valign="middle">0.11</td>
<td align="center" valign="middle">&#x2212;0.058</td>
<td align="center" valign="middle">&#x2212;1.38</td>
<td align="center" valign="middle">1.38</td>
<td align="center" valign="middle">&#x2212;0.09</td>
<td align="center" valign="middle">9.10</td>
</tr>
<tr>
<td align="left" valign="middle">C</td>
<td align="center" valign="middle">0.2</td>
<td align="center" valign="middle">0.034</td>
<td align="center" valign="middle">&#x2212;0.032</td>
<td align="center" valign="middle">&#x2212;0.92</td>
<td align="center" valign="middle">0.92</td>
<td align="center" valign="middle">0.06</td>
<td align="center" valign="middle">23.42</td>
</tr>
<tr>
<td align="left" valign="middle">D</td>
<td align="center" valign="middle">1.05</td>
<td align="center" valign="middle">&#x2212;0.02</td>
<td align="center" valign="middle">&#x2212;0.15</td>
<td align="center" valign="middle">&#x2212;0.70</td>
<td align="center" valign="middle">0.70</td>
<td align="center" valign="middle">&#x2212;0.02</td>
<td align="center" valign="middle">4.18</td>
</tr>
<tr>
<td align="left" valign="middle">AB</td>
<td align="center" valign="middle">&#x2013;</td>
<td align="center" valign="middle">&#x2013;</td>
<td align="center" valign="middle">&#x2013;</td>
<td align="center" valign="middle">1.72</td>
<td align="center" valign="middle">&#x2212;1.72</td>
<td align="center" valign="middle">0.22</td>
<td align="center" valign="middle">&#x2212;4.05</td>
</tr>
<tr>
<td align="left" valign="middle">AC</td>
<td align="center" valign="middle">&#x2013;</td>
<td align="center" valign="middle">&#x2013;</td>
<td align="center" valign="middle">&#x2013;</td>
<td align="center" valign="middle">1.03</td>
<td align="center" valign="middle">&#x2212;1.03</td>
<td align="center" valign="middle">&#x2212;0.01</td>
<td align="center" valign="middle">1.11</td>
</tr>
<tr>
<td align="left" valign="middle">AD</td>
<td align="center" valign="middle">&#x2013;</td>
<td align="center" valign="middle">&#x2013;</td>
<td align="center" valign="middle">&#x2013;</td>
<td align="center" valign="middle">&#x2212;0.36</td>
<td align="center" valign="middle">0.36</td>
<td align="center" valign="middle">&#x2212;0.13</td>
<td align="center" valign="middle">&#x2212;2.24</td>
</tr>
<tr>
<td align="left" valign="middle">BC</td>
<td align="center" valign="middle">&#x2013;</td>
<td align="center" valign="middle">&#x2013;</td>
<td align="center" valign="middle">&#x2013;</td>
<td align="center" valign="middle">&#x2212;2.34</td>
<td align="center" valign="middle">2.34</td>
<td align="center" valign="middle">0.15</td>
<td align="center" valign="middle">8.02</td>
</tr>
<tr>
<td align="left" valign="middle">BD</td>
<td align="center" valign="middle">&#x2013;</td>
<td align="center" valign="middle">&#x2013;</td>
<td align="center" valign="middle">&#x2013;</td>
<td align="center" valign="middle">&#x2212;1.28</td>
<td align="center" valign="middle">1.28</td>
<td align="center" valign="middle">&#x2212;0.20</td>
<td align="center" valign="middle">&#x2212;0.33</td>
</tr>
<tr>
<td align="left" valign="middle">CD</td>
<td align="center" valign="middle">&#x2013;</td>
<td align="center" valign="middle">&#x2013;</td>
<td align="center" valign="middle">&#x2013;</td>
<td align="center" valign="middle">2.28</td>
<td align="center" valign="middle">&#x2212;2.28</td>
<td align="center" valign="middle">&#x2212;0.04</td>
<td align="center" valign="middle">&#x2212;6.74</td>
</tr>
<tr>
<td align="left" valign="middle">A<sup>2</sup></td>
<td align="center" valign="middle">&#x2013;</td>
<td align="center" valign="middle">&#x2013;</td>
<td align="center" valign="middle">&#x2013;</td>
<td align="center" valign="middle">&#x2013;</td>
<td align="center" valign="middle">&#x2013;</td>
<td align="center" valign="middle">&#x2013;</td>
<td align="center" valign="middle">19.27</td>
</tr>
<tr>
<td align="left" valign="middle">B<sup>2</sup></td>
<td align="center" valign="middle">&#x2013;</td>
<td align="center" valign="middle">&#x2013;</td>
<td align="center" valign="middle">&#x2013;</td>
<td align="center" valign="middle">&#x2013;</td>
<td align="center" valign="middle">&#x2013;</td>
<td align="center" valign="middle">&#x2013;</td>
<td align="center" valign="middle">23.81</td>
</tr>
<tr>
<td align="left" valign="middle">C<sup>2</sup></td>
<td align="center" valign="middle">&#x2013;</td>
<td align="center" valign="middle">&#x2013;</td>
<td align="center" valign="middle">&#x2013;</td>
<td align="center" valign="middle">&#x2013;</td>
<td align="center" valign="middle">&#x2013;</td>
<td align="center" valign="middle">&#x2013;</td>
<td align="center" valign="middle">&#x2212;6.59</td>
</tr>
<tr>
<td align="left" valign="middle">D<sup>2</sup></td>
<td align="center" valign="middle">&#x2013;</td>
<td align="center" valign="middle">&#x2013;</td>
<td align="center" valign="middle">&#x2013;</td>
<td align="center" valign="middle">&#x2013;</td>
<td align="center" valign="middle">&#x2013;</td>
<td align="center" valign="middle">&#x2013;</td>
<td align="center" valign="middle">13.62</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p>A&#x2009;=&#x2009;HM:CM composition; B&#x2009;=&#x2009;particle size; C&#x2009;=&#x2009;composting period; D&#x2009;=&#x2009;bulking agent amount; red highlight&#x2009;=&#x2009;non-significant terms.</p>
</table-wrap-foot>
</table-wrap>
<sec id="sec12">
<label>3.2.1</label>
<title>Organic matter, nitrogen and potassium</title>
<p>Linear models were applied to describe the relationship of the independent factors on OM, N, and K. This model represents a first-order function and lacks curvature (<xref ref-type="bibr" rid="ref27">Homayoonfal et al., 2015</xref>). OM is a crucial parameter for nutrient content and water retention, ultimately enhancing conditions for plant growth. In this study, OM was positively influenced at <italic>p</italic>&#x2009;&#x003C;&#x2009;0.05 by two linear effects, HM:CM [line A] and PS [line B] with CE&#x2009;=&#x2009;7.53 and 1.81, respectively (<xref ref-type="table" rid="tab7">Table 7</xref>). These effects are illustrated by a perturbation graph in <xref ref-type="fig" rid="fig1">Figure 1A</xref>, which depicts the positive influence of each independent factor on OM. From the graph, it can be observed that HM:CM displayed the steepest line, indicating a prominent influence of HM composition on OM compared to other independent variables. This observation aligns with the significantly high OM value in HM (82.01%) (<xref ref-type="table" rid="tab3">Table 3</xref>).</p>
<fig position="float" id="fig1">
<label>Figure 1</label>
<caption>
<p>Perturbation graph displaying the linear effect of independent factors on response variables for HM and CM co-composting with WW as bulking agent. <bold>(A)</bold> OM (%); <bold>(B)</bold> N (%); <bold>(C)</bold> K (%). (A&#x2009;=&#x2009;HM:CM composition, B&#x2009;=&#x2009;particle size, C&#x2009;=&#x2009;composting period, D&#x2009;=&#x2009;bulking agent amount, Coded units&#x2009;=&#x2009;level of independent factors, &#x002A;&#x2009;=&#x2009;non-significant variable).</p>
</caption>
<graphic xlink:href="fsufs-08-1368970-g001.tif"/>
</fig>
<p>The effect of PS on OM can be understood through a study by <xref ref-type="bibr" rid="ref37">Lata Verma and Marschner (2013)</xref>, who found that compost with smaller PS (&#x003C;0.3&#x2009;cm) boosted microbial biomass and P availability more than compost with larger PS (0.3&#x2013;0.5&#x2009;cm and&#x2009;&#x003E;&#x2009;0.5&#x2009;cm). A similar study by <xref ref-type="bibr" rid="ref43">Liu L. et al. (2018)</xref> stated that compost piles with PS &#x003C;0.3&#x2009;cm tend to have higher microbial propagation, enhancing OM mineralization. This is due to the high surface area-to-volume ratio and decomposability of compost with small particle sizes. In parallel, larger PS may have lower N and P contents than smaller PS due to the predominance of carbon-rich compounds (<xref ref-type="bibr" rid="ref70">Tognetti et al., 2008</xref>). As proven by <xref ref-type="bibr" rid="ref13">Duong et al. (2012)</xref>, composts with smaller PS were found to release more N and P than composts with larger PS. However, findings from the current study indicated that larger particle sizes (0.75&#x2013;1.25&#x2009;cm) contain more OM than smaller particle sizes, contrary to the previous studies (<xref ref-type="bibr" rid="ref13">Duong et al., 2012</xref>; <xref ref-type="bibr" rid="ref37">Lata Verma and Marschner, 2013</xref>; <xref ref-type="bibr" rid="ref43">Liu L. et al., 2018</xref>). Nevertheless, <xref ref-type="bibr" rid="ref37">Lata Verma and Marschner (2013)</xref> noted that the differences among compost size fractions relative to their effect on soil nutrients were minimal. Correspondingly, the positive effect of PS on OM in this study was also small with CE&#x2009;=&#x2009;1.81.</p>
<p>Nitrogen is essential for improving both the yield and quality of plants (<xref ref-type="bibr" rid="ref38">Leghari et al., 2016</xref>). In this co-composting study, N was positively influenced at <italic>p</italic>&#x2009;&#x003C;&#x2009;0.05 by two linear effects, HM:CM [line A] and PS [line B] (<xref ref-type="table" rid="tab4">Table 4</xref>). The effect of linear variables was illustrated in <xref ref-type="fig" rid="fig1">Figure 1B</xref>, indicating that N was slightly more sensitive to HM:CM than PS with a 0.1 difference in the CE values. The positive effect of HM:CM on N implies that increasing HM composition in the compost mixture would remarkably enhance N content of the final compost. Despite the lower N content of HM compared to CM (<xref ref-type="table" rid="tab3">Table 3</xref>), the more balanced C/N attributed to higher HM composition in the co-compost mix ensured an adequate supply of degradable organic carbon and nitrogen for optimal mineralization. Thus, a substantial increase in N content was observed at the end of the composting process. <xref ref-type="bibr" rid="ref46">Mishra and Yadav (2022)</xref> stated that N concentration generally increases at the end of the composting process due to the activity of nitrogen-fixing bacteria. The linear effect shows that an increase in PS would significantly enhance N release in the final compost. This finding was contradictory to the findings of <xref ref-type="bibr" rid="ref13">Duong et al. (2012)</xref>, who reported that N immobilization was often related to large compost particle sizes due to the smaller surface area for microbial activity.</p>
<p>Potassium is a crucial macronutrient that plays an essential role in the development of plants. The results showed that HM:CM [line A] was the sole independent factor that exhibited a significant effect on K at <italic>p</italic>&#x2009;&#x003C;&#x2009;0.0001 (<xref ref-type="table" rid="tab4">Table 4</xref>), with CE&#x2009;=&#x2009;&#x2212;0.51 (<xref ref-type="table" rid="tab7">Table 7</xref>). The effect of HM:CM on K suggests that increasing HM composition in the compost would substantially decrease the K content. This relationship is illustrated by the evident negative gradient line observed in <xref ref-type="fig" rid="fig1">Figure 1C</xref>. This phenomenon could be explained by the low K content in HM, which was only 0.62% as compared to 1.94% in CM (<xref ref-type="table" rid="tab3">Table 3</xref>). Therefore, as the proportion of HM increased, resulting in a decrease in CM composition in the co-compost mix, there was a corresponding reduction in K content. Other factors did not have any remarkable effect on K.</p>
</sec>
<sec id="sec13">
<label>3.2.2</label>
<title>Dry matter and moisture content</title>
<p>Optimal dry matter and moisture levels are essential to facilitate sufficient microbial activity within and between the compost particles. These two parameters were explained using 2FI models, providing deeper insights into the interactions between the independent variables (<xref ref-type="bibr" rid="ref75">Wong et al., 2015</xref>). DM and MC were significantly influenced at <italic>p</italic>&#x2009;&#x003C;&#x2009;0.05 (<xref ref-type="table" rid="tab5">Table 5</xref>) by the linear effect of HM:CM, with CE&#x2009;=&#x2009;&#x2212;3.05 (<xref ref-type="table" rid="tab7">Table 7</xref>). This indicates that increasing HM composition in the co-compost mix would significantly reduce DM content while simultaneously increasing MC. The DM value of HM was significantly lower than CM (<xref ref-type="table" rid="tab3">Table 3</xref>), resulting in a notable decrease in DM value in the co-compost mixture as the proportion of HM increases. Additionally, DM and MC were significantly influenced at <italic>p</italic>&#x2009;&#x003C;&#x2009;0.05 by two interaction effects, PS vs. CP and CP vs. BAA. <xref ref-type="fig" rid="fig2">Figure 2A</xref> presents the response surface plot illustrating the relationship between PS and CP at constant HM:CM (50:50) and BAA (15%). The plot indicates that higher DM content and lower MC were obtained under two conditions; smaller PS (0.25&#x2013;0.35&#x2009;cm) with longer CP and larger PS (1.1&#x2013;1.25&#x2009;cm) with shorter CP. This implies that composts with smaller particle sizes were better at providing moisture retention over longer CP than composts with larger particle sizes. This aligns with the findings of <xref ref-type="bibr" rid="ref19">G&#x0142;&#x0105;b et al. (2020)</xref>, who discovered that variations in water retention qualities could depend on the PS of compost. Larger compost particles led to decreased available water content due to their smaller surface areas, potentially hindering water absorption and disrupting the activity of microorganisms involved in organic matter decomposition.</p>
<fig position="float" id="fig2">
<label>Figure 2</label>
<caption>
<p>Response surface plots for the effect of independent variables on DM (%) and MC (%) of HM and CM co-compost with WW as bulking agent. <bold>(A)</bold> PS vs. CP; <bold>(B)</bold> CP vs. BAA.</p>
</caption>
<graphic xlink:href="fsufs-08-1368970-g002.tif"/>
</fig>
<p>The 3D response surface plot depicted in <xref ref-type="fig" rid="fig2">Figure 2B</xref> illustrates the interaction effect of CP and BAA on DM content, with HM:CM (50:50) and PS (0.75&#x2009;cm) held constant. Variations in DM content were primarily influenced by the moisture retention ability of individual feedstock. Maximum DM (54%) and minimum MC (46%) were achieved at the lowest level of BAA (5&#x2013;10%) of WW and the minimum level of CP (25&#x2013;30&#x2009;days). WW has a significantly high moisture content and retention ability, which is attributed to its rich concentration of fiber components (<xref ref-type="bibr" rid="ref28">Hoque and Iqbal, 2015</xref>). Thus, a low amount of WW in the co-compost mix could contribute to reduced moisture-holding capacity, resulting in high DM content in the final compost. Shorter CP (25&#x2013;30&#x2009;days) has led to a higher proportion of undecomposed organic matter and therefore higher DM content due to limited time for microbial decomposition. Hence, the combination of lower BAA and shorter CP resulted in higher DM content in the final compost.</p>
</sec>
<sec id="sec14">
<label>3.2.3</label>
<title>pH</title>
<p>Compost pH is a measure of hydrogen ion activity influenced by various chemical factors, including the mix and concentrations of cations and anions in the solution (<xref ref-type="bibr" rid="ref64">Smith and Doran, 1997</xref>; <xref ref-type="bibr" rid="ref7">Butterly et al., 2013</xref>). This response variable was explained by the 2FI model. The linear effect indicates that increasing HM proportion significantly reduces pH value, with CE&#x2009;=&#x2009;&#x2212;0.31 (<xref ref-type="table" rid="tab7">Table 7</xref>). This trend is displayed in <xref ref-type="fig" rid="fig3">Figure 3A</xref>, where the highest pH value is observed at the highest CM composition and smallest PS. This result is valid as CM was significantly more alkaline than HM based on previous studies. HM had a mean pH of 6.7 (<xref ref-type="bibr" rid="ref23">Hanc et al., 2019</xref>; <xref ref-type="bibr" rid="ref67">Stepanova et al., 2021</xref>), while CM had a mean pH of 7.9 (<xref ref-type="bibr" rid="ref39">Li et al., 2017</xref>; <xref ref-type="bibr" rid="ref35">Kong et al., 2018</xref>; <xref ref-type="bibr" rid="ref53">Qasim et al., 2019</xref>). The high N content in both CM (2.81%) and WW (2.20%) have contributed to low C/N (<xref ref-type="table" rid="tab3">Table 3</xref>), resulting in higher pH values due to the degradation of nitrogen-containing compounds accumulated in the composting piles (<xref ref-type="bibr" rid="ref77">Yu et al., 2019</xref>; <xref ref-type="bibr" rid="ref72">Wan et al., 2020</xref>).</p>
<fig position="float" id="fig3">
<label>Figure 3</label>
<caption>
<p>Response surface plots for the effect of independent variables on pH of HM and CM co-compost with WW as bulking agent. <bold>(A)</bold> HM:CM vs. PS; <bold>(B)</bold> CP vs BAA to PS vs BAA.</p>
</caption>
<graphic xlink:href="fsufs-08-1368970-g003.tif"/>
</fig>
<p>In addition, the impact of PS on pH observed in this study was in agreement with the findings of <xref ref-type="bibr" rid="ref80">Zhao et al. (2012)</xref>. They reported a reduction in pH value as PS decreases. This might be due to the increase in cation adsorption capacity resulting from the larger surface areas exhibited by smaller particle sizes. Consequently, more positively charged ions may bind to the particle surfaces, leading to a decline in cation concentration in the compost. Thus, the pH value of compost tends to decrease, becoming more acidic. <xref ref-type="fig" rid="fig3">Figure 3B</xref> illustrates the interaction of PS and BAA, showing that pH is lowest at PS of 0.25&#x2009;cm and 5% of BAA. These represent the lowest levels for each independent factor. However, the pH value peaks at the same PS level and 25% of BAA, indicating that a higher amount of WW induced a higher pH value.</p>
</sec>
<sec id="sec15">
<label>3.2.4</label>
<title>Bulk density</title>
<p>Effective control of bulk density can enhance the permeability, free air space, oxygen utilization efficiency, and heat transfer in the composting mix. The quadratic model, with its highest order polynomial, showing the significance of additional terms (<xref ref-type="bibr" rid="ref75">Wong et al., 2015</xref>), was applied to explain BD response. The surface plot in <xref ref-type="fig" rid="fig4">Figure 4A</xref> demonstrates the effects of HM:CM and PS on BD, while CP was held constant at 35&#x2009;days and BAA at 15%. BD was significantly influenced by two linear effects (HM:CM and CP) and three quadratic effects (HM:CM<sup>2</sup>, PS<sup>2</sup>, and BAA<sup>2</sup>), with CE values equal to &#x2212;36.48, 23.42, 19.27, 23.81, and 13.62, respectively (<xref ref-type="table" rid="tab7">Table 7</xref>). It was observed that maximum BD was achieved at low HM composition (0&#x2013;25%) across all PS levels. HM:CM exerted a significant negative influence on BD (CE&#x2009;=&#x2009;&#x2212;36.48). Moisture content, porosity, particle size, and the density of the individual particles are the main factors influencing BD (<xref ref-type="bibr" rid="ref31">Jain et al., 2019</xref>; <xref ref-type="bibr" rid="ref50">Oshins et al., 2022</xref>). Therefore, it can be concluded that HM has lower moisture retention and density but higher porosity compared to CM, which explains the decrease in BD as HM composition increases in the co-compost mix.</p>
<fig position="float" id="fig4">
<label>Figure 4</label>
<caption>
<p>Response surface plots for the effect of independent variables on BD (kg/m<sup>3</sup>) of HM and CM co-compost with WW as bulking agent. <bold>(A)</bold> HM:CM vs. PS; <bold>(B)</bold> CP vs. BAA.</p>
</caption>
<graphic xlink:href="fsufs-08-1368970-g004.tif"/>
</fig>
<p>The quadratic effects of HM:CM, PS, and BAA on BD of the co-compost are illustrated in <xref ref-type="fig" rid="fig4">Figures 4A</xref>,<xref ref-type="fig" rid="fig4">B</xref>. BD reaches its peak at 365&#x2013;486&#x2009;kg/m<sup>3</sup> with HM:CM ranging from 0:100 to 25:75, while the lowest point was at 50:50 to 75:25, resulting in a BD of 230&#x2013;280&#x2009;kg/m<sup>3</sup>. This highlights the preference for lower HM composition in the co-compost to achieve higher BD. This finding aligns with the statement made by <xref ref-type="bibr" rid="ref65">Smith and Swanson (2009)</xref> regarding the low bulk density of HM, primarily attributed to the significant presence of bedding material. However, since our study utilized pure HM without bedding, the results suggest that horse dung has lower bulk density compared to CM.</p>
<p>The optimal range of particle sizes was presented by the quadratic relationship. PS ranging from 0.50 to 1.0&#x2009;cm produced co-compost with lower BD values, whereas BD gradually increases with PS below 0.50&#x2009;cm and above 1.0&#x2009;cm. Excessively small particle sizes may lead to compression, potentially increasing moisture retention in the compost pile and consequently elevating BD values (<xref ref-type="bibr" rid="ref50">Oshins et al., 2022</xref>). Conversely, excessively large particle sizes could increase the mass per particle, thereby increasing the overall mass of the compost pile per unit volume and resulting in higher BD values. This could lead to slower decomposition rates during the composting process. Furthermore, the highest level of BAA at 20&#x2013;25% exhibits better BD values (&#x003E;360&#x2009;kg/m<sup>3</sup>), nearly reaching the suggested range of 400&#x2013;600&#x2009;kg/m<sup>3</sup> by <xref ref-type="bibr" rid="ref50">Oshins et al. (2022)</xref>. This indicates the efficacy of WW as a bulking agent in the co-composting of HM and CM. These findings emphasize the significant effects of feedstock type and particle size on compost bulk density.</p>
</sec>
</sec>
<sec id="sec16">
<label>3.3</label>
<title>Numerical optimization and validation experiment</title>
<p>The purpose of optimization was to identify the optimal combination of independent factors that leads to the desired response or outcome. In this study, independent factors were optimized to achieve OM levels falling within the range of 40&#x2013;60% (<xref ref-type="bibr" rid="ref51">Ozores-Hampton, 2017</xref>), while maximizing N and K levels. These elements are the key parameters influencing the value of compost as a soil amendment.</p>
<p>The outcome of the simultaneous optimization suggested that the optimal co-composting conditions were achieved at HM:CM of 75:25, PS of 0.5&#x2009;cm with 40&#x2009;days of CP, and 10% of WW as the bulking agent. These conditions yielded the most favorable result, with 61% OM, 2.5% N, and 2.5% K. The optimization results reveal that co-composting HM and CM with WW as the bulking agent produced compost of desirable quality, with remarkably high levels of organic matter and nutrients. These findings align with compost quality standards recommended by <xref ref-type="bibr" rid="ref49">Nyi et al. (2017)</xref> and <xref ref-type="bibr" rid="ref25">Heyman et al. (2019)</xref>.</p>
<p>For validation purposes, the co-composting process was repeated using the optimal conditions identified. <xref ref-type="table" rid="tab8">Table 8</xref> shows the comparison between the predicted and experimental values. RMSPE analysis revealed that the predicted optimal response variables closely matched the experimental values, with error values consistently below 0.50. This validation demonstrates the success of RSM and CCD in finding the best process parameters and developing models for predicting responses.</p>
<table-wrap position="float" id="tab8">
<label>Table 8</label>
<caption>
<p>Comparison between the predicted and experimental values for HM and CM co-composting with WW as bulking agent.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top">Response values</th>
<th align="center" valign="top">Predicted</th>
<th align="center" valign="top">Experimental</th>
<th align="center" valign="top">RMSPE</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top">OM (%)</td>
<td align="center" valign="top">61</td>
<td align="center" valign="top">64.3&#x2009;&#x00B1;&#x2009;2.7</td>
<td align="center" valign="top">0.06</td>
</tr>
<tr>
<td align="left" valign="top">N (%)</td>
<td align="center" valign="top">2.5</td>
<td align="center" valign="top">1.9&#x2009;&#x00B1;&#x2009;0.3</td>
<td align="center" valign="top">0.40</td>
</tr>
<tr>
<td align="left" valign="top">K (%)</td>
<td align="center" valign="top">2.5</td>
<td align="center" valign="top">2.4&#x2009;&#x00B1;&#x2009;0.3</td>
<td align="center" valign="top">0.12</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p>RMSPE, root mean square percentage error; OM, organic matter; N, nitrogen; K, potassium.</p>
</table-wrap-foot>
</table-wrap>
</sec>
</sec>
<sec id="sec17">
<label>4</label>
<title>Overview of the co-composting process</title>
<p>The summary statistics of co-composting CM and HM with WW as bulking agent is presented in <xref ref-type="table" rid="tab9">Table 9</xref>. The results show significant effects on OM, N, K, DM, MC, pH, and BD. Results from the thirty experimental runs show that OM exhibited a mean of 58.82%, which is within the desirable range of 40&#x2013;60% for most compost applications, as suggested by <xref ref-type="bibr" rid="ref51">Ozores-Hampton (2017)</xref>. As for N and K values, there are currently no globally agreed-upon ideal range values. However, many farmers believe that higher nutrient values contribute to better soil fertility and plant productivity. The average values for N (2.29%) and K (2.83%) were notably high, suggesting that this co-composting combination was proven to significantly increase the nutrient content of the final compost. The average values for DM (41.64%) and MC (58.36%) fell within the ideal range of 40&#x2013;60%, as recommended by <xref ref-type="bibr" rid="ref62">Singh and Kalamdhad (2015)</xref>. This might be owing to the moisture retention ability of WW as the bulking agent.</p>
<table-wrap position="float" id="tab9">
<label>Table 9</label>
<caption>
<p>Statistical summary of the co-composting process.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top">Response variables</th>
<th align="left" valign="top">Significance</th>
<th align="center" valign="top">Mean</th>
<th align="center" valign="top">Min</th>
<th align="center" valign="top">Max</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top">OM (%)</td>
<td align="left" valign="top">Significant</td>
<td align="center" valign="top">56.52</td>
<td align="center" valign="top">42.73</td>
<td align="center" valign="top">74.91</td>
</tr>
<tr>
<td align="left" valign="top">N (%)</td>
<td align="left" valign="top">Significant</td>
<td align="center" valign="top">2.29</td>
<td align="center" valign="top">1.75</td>
<td align="center" valign="top">2.70</td>
</tr>
<tr>
<td align="left" valign="top">K (%)</td>
<td align="left" valign="top">Significant</td>
<td align="center" valign="top">2.83</td>
<td align="center" valign="top">1.41</td>
<td align="center" valign="top">3.84</td>
</tr>
<tr>
<td align="left" valign="top">DM (%)</td>
<td align="left" valign="top">Significant</td>
<td align="center" valign="top">41.64</td>
<td align="center" valign="top">30.64</td>
<td align="center" valign="top">54.59</td>
</tr>
<tr>
<td align="left" valign="top">MC (%)</td>
<td align="left" valign="top">Significant</td>
<td align="center" valign="top">58.36</td>
<td align="center" valign="top">45.41</td>
<td align="center" valign="top">69.36</td>
</tr>
<tr>
<td align="left" valign="top">BD (kg/m<sup>3</sup>)</td>
<td align="left" valign="top">Significant</td>
<td align="center" valign="top">286.79</td>
<td align="center" valign="top">144.45</td>
<td align="center" valign="top">386.85</td>
</tr>
<tr>
<td align="left" valign="top">pH</td>
<td align="left" valign="top">Significant</td>
<td align="center" valign="top">7.43</td>
<td align="center" valign="top">6.82</td>
<td align="center" valign="top">8.64</td>
</tr>
<tr>
<td align="left" valign="top">C/N</td>
<td align="left" valign="top">Not significant</td>
<td align="center" valign="top">13.73</td>
<td align="center" valign="top">10.65</td>
<td align="center" valign="top">17.33</td>
</tr>
<tr>
<td align="left" valign="top">P (%)</td>
<td align="left" valign="top">Not significant</td>
<td align="center" valign="top">8.41</td>
<td align="center" valign="top">5.92</td>
<td align="center" valign="top">11.29</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p>OM, organic matter; N, nitrogen; K, potassium; DM, dry matter; MC, moisture content; BD, bulk density; C/N, carbon-to-nitrogen ratio; P, phosphorus.</p>
</table-wrap-foot>
</table-wrap>
<p>The average BD value from the experimental runs was 265.65&#x2009;kg/m<sup>3</sup>, remarkably lower than the suggested range of 400&#x2013;600&#x2009;kg/m<sup>3</sup> (<xref ref-type="bibr" rid="ref50">Oshins et al., 2022</xref>). This discrepancy could be attributed to the high moisture content and low porosity of WW, as bulk density is heavily influenced by these two parameters (<xref ref-type="bibr" rid="ref31">Jain et al., 2019</xref>; <xref ref-type="bibr" rid="ref50">Oshins et al., 2022</xref>). Most composts tend to maintain a neutral to slightly alkaline pH range, with the optimal pH range being between 6.5 and 8.0 (<xref ref-type="bibr" rid="ref26">Ho et al., 2022</xref>; <xref ref-type="bibr" rid="ref50">Oshins et al., 2022</xref>). The average pH value exhibited was 7.73, showing a considerably good pH level for compost application.</p>
<p>However, the co-composting of HM and CM with WW as bulking agent did not significantly affect C/N and P content. The average C/N observed was 13.73, significantly lower than the recommended range of 20&#x2013;40 (<xref ref-type="bibr" rid="ref21">Guo et al., 2022</xref>; <xref ref-type="bibr" rid="ref50">Oshins et al., 2022</xref>). This could be attributed to the low C/N of CM (11.7) and WW (15.57), as shown in <xref ref-type="table" rid="tab3">Table 3</xref>. This co-composting mix did not contribute to achieving a balanced C/N, which could affect the mineralization rate and cause nitrogen loss as ammonia to the environment (<xref ref-type="bibr" rid="ref50">Oshins et al., 2022</xref>). Therefore, the choice of feedstock is crucial given its substantial influence on the physicochemical properties of compost.</p>
</sec>
<sec id="sec18">
<label>5</label>
<title>Comparison with previous studies</title>
<p>There are very limited resources on previous co-composting studies involving HM and CM. <xref ref-type="bibr" rid="ref66">Sokri et al. (2023)</xref> utilized RSM optimization to compost fresh HM with pineapple waste as the bulking agent. Their study identified the optimal composition to be 95% HM and 5% pineapple waste, resulting in compost with 90.3% OM. As a comparison, the current study uses 10% WW, demonstrating the potential to manage greater volumes of fruit waste for nutrient reutilization.</p>
<p>Another study by <xref ref-type="bibr" rid="ref44">Liu Y. et al. (2018)</xref> achieved a compost with 35.9% OM and 2.3% N by co-composting mature HM and fresh CM, utilizing green waste as the bulking agent. While composting essentially involves organic matter degradation, it is recommended to maintain OM levels at 40&#x2013;60% for effective agricultural application (<xref ref-type="bibr" rid="ref51">Ozores-Hampton, 2017</xref>). The optimal OM content in this study (61%) aligns closely with this range compared to the findings of <xref ref-type="bibr" rid="ref66">Sokri et al. (2023)</xref> and <xref ref-type="bibr" rid="ref44">Liu Y. et al. (2018)</xref>, which were 90.3 and 35.9% and, respectively. Moreover, the N content achieved under the optimized conditions surpassed that of the study by <xref ref-type="bibr" rid="ref44">Liu Y. et al. (2018)</xref>. This suggests that co-composting HM and CM with WW as a bulking agent proved more effective in achieving adequate degradation while preserving organic matter and nutrient content in the final compost.</p>
</sec>
<sec sec-type="conclusions" id="sec19">
<label>6</label>
<title>Conclusion</title>
<p>RSM and CCD proved effective in determining optimal process parameters and creating models for predicting responses in this study. Co-composting HM and CM with WW as the bulking agent significantly influenced OM, N, K, DM, MC, pH, and BD, while showing no significant effects on C/N and P. Higher HM composition in the co-compost mix led to higher OM, N, and MC values, while decreasing K, DM, BD, and pH in the final compost. Larger particle size resulted in higher OM and N values while a longer composting period encouraged higher bulk density of compost pile. Optimal conditions derived from RSM optimization were HM:CM of 75:25, particle size of 0.5&#x2009;cm, 40&#x2009;days of composting, and 10% of WW as the bulking agent, yielding a compost with 64.3&#x2009;&#x00B1;&#x2009;2.7% of OM, 1.9&#x2009;&#x00B1;&#x2009;0.3% of N and 2.4&#x2009;&#x00B1;&#x2009;0.3% of K. The findings showed that co-composting HM and CM with WW as a bulking agent enhanced the organic matter and nutrient levels of the final compost. However, this combination has led to an imbalanced C/N, potentially hindering successful nutrient mineralization and reducing plant nutrient absorption.</p>
</sec>
<sec sec-type="data-availability" id="sec20">
<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 sec-type="author-contributions" id="sec21">
<title>Author contributions</title>
<p>AN: Formal analysis, Investigation, Methodology, Software, Validation, Visualization, Writing &#x2013; original draft, Writing &#x2013; review &#x0026; editing. TT: Conceptualization, Data curation, Formal analysis, Funding acquisition, Investigation, Methodology, Project administration, Resources, Supervision, Validation, Visualization, Writing &#x2013; review &#x0026; editing, Writing &#x2013; original draft. NC: Data curation, Resources, Supervision, Writing &#x2013; review &#x0026; editing. MZ: Funding acquisition, Resources, Supervision, Writing &#x2013; review &#x0026; editing. NN: Supervision, Writing &#x2013; review &#x0026; editing.</p>
</sec>
</body>
<back>
<sec sec-type="funding-information" id="sec22">
<title>Funding</title>
<p>The author(s) declare financial support was received for the research, authorship, and/or publication of this article. The authors gratefully acknowledge the financial support from UPM Putra Grant &#x2013; Inisiatif Putra Siswazah Grant (GP-IPS/2022/9722500) and a Graduate Research Fellowship (GRF), both under UPM for the scholarship.</p>
</sec>
<sec sec-type="COI-statement" id="sec23">
<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="sec100" sec-type="disclaimer">
<title>Publisher&#x2019;s note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
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