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<front>
<journal-meta>
<journal-id journal-id-type="pmc">JRM</journal-id>
<journal-id journal-id-type="nlm-ta">JRM</journal-id>
<journal-id journal-id-type="publisher-id">JRM</journal-id>
<journal-title-group>
<journal-title>Journal of Renewable Materials</journal-title>
</journal-title-group>
<issn pub-type="epub">2164-6341</issn>
<issn pub-type="ppub">2164-6325</issn>
<publisher>
<publisher-name>Tech Science Press</publisher-name>
<publisher-loc>USA</publisher-loc>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="publisher-id">17506</article-id>
<article-id pub-id-type="doi">10.32604/jrm.2022.017506</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Article</subject>
</subj-group>
</article-categories>
<title-group>
<article-title>Understanding the Impacts of Plant Capacities and Uncertainties on the Techno-Economic Analysis of Cross-Laminated Timber Production in the Southern U.S.</article-title>
<alt-title alt-title-type="left-running-head">Understanding the Impacts of Plant Capacities and Uncertainties on the Techno-Economic Analysis of Cross-Laminated Timber Production in the Southern U.S.</alt-title>
<alt-title alt-title-type="right-running-head">Understanding the Impacts of Plant Capacities and Uncertainties on the Techno-Economic Analysis of Cross-Laminated Timber Production in the Southern U.S.</alt-title>
</title-group>
<contrib-group content-type="authors">
<contrib id="author-1" contrib-type="author">
<name name-style="western"><surname>Zhang</surname><given-names>Zhenzhen</given-names></name>
<xref ref-type="aff" rid="aff-1">1</xref>
</contrib>
<contrib id="author-2" contrib-type="author" corresp="yes">
<name name-style="western"><surname>Lan</surname><given-names>Kai</given-names></name>
<xref ref-type="aff" rid="aff-2">2</xref>
<email>klan2@ncsu.edu</email>
</contrib>
<aff id="aff-1"><label>1</label><institution>Department of Forestry and Environmental Resources, North Carolina State University</institution>, <addr-line>Raleigh, 27606</addr-line>, <country>USA</country></aff>
<aff id="aff-2"><label>2</label><institution>Department of Forest Biomaterials, North Carolina State University</institution>, <addr-line>Raleigh, 27606</addr-line>, <country>USA</country></aff>
</contrib-group><author-notes><corresp id="cor1"><label>&#x002A;</label>Corresponding Author: Kai Lan. Email: <email>klan2@ncsu.edu</email></corresp></author-notes>
<pub-date pub-type="epub" date-type="pub" iso-8601-date="2021-07-26"><day>26</day><month>07</month><year>2021</year></pub-date>
<volume>10</volume>
<issue>1</issue>
<fpage>53</fpage>
<lpage>73</lpage>
<history>
<date date-type="received"><day>15</day><month>5</month><year>2021</year></date>
<date date-type="accepted"><day>04</day><month>6</month><year>2021</year></date>
</history>
<permissions>
<copyright-statement>&#x00A9; 2022 Zhang and Lan</copyright-statement>
<copyright-year>2022</copyright-year>
<copyright-holder>Zhang and Lan</copyright-holder>
<license xlink:href="https://creativecommons.org/licenses/by/4.0/">
<license-p>This work is licensed under a <ext-link ext-link-type="uri" xlink:type="simple" xlink:href="https://creativecommons.org/licenses/by/4.0/">Creative Commons Attribution 4.0 International License</ext-link>, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.</license-p>
</license>
</permissions>
<self-uri content-type="pdf" xlink:href="TSP_JRM_17506.pdf"></self-uri>
<abstract>
<p>Understanding the economic feasibility of cross-laminated timber (CLT), an emerging and sustainable alternative to concrete and steel, is critical for the rapid expansion of the mass timber industry. However, previous studies on economic performance of CLT have not fully considered the variations in the feedstock, plant capacities, manufacturing parameters, and capital and operating costs. This study fills this gap by developing a techno-economic analysis of producing CLT panels in the Southern United States. The effects of those variations on minimum selling price (MSP) of CLT panels are explored by Monte Carlo simulation. The results show that, across all the plant capacities from 30,000 to 150,000 m<sup>3</sup>/year, the MSP ranges from &#x0024;345 to &#x0024;609/m<sup>3</sup> with a &#x00B1;6&#x0025;&#x2013;9&#x0025; range caused by the variations in feedstocks, key manufacturing parameters, capital and operating cost. The MSP decreases significantly along the increasing capacities. A sensitivity analysis exhibits that the lumber price, lumber preparing loss, plant capacity, and the installed costs of layering and gluing, finishing, and miscellaneous, are the top driving factors to CLT MSP. Supported by Geographic Information System, this study also studies the transportation cost of delivering CLT to customers under three CLT demanding levels (1&#x0025;, 5&#x0025;, 15&#x0025;). The results show that the transportation cost is 1&#x0025;&#x2013;8&#x0025; of the MSP. Lower demanding level or higher plant capacity can increase the transportation cost due to average longer delivering distance. When considering the delivered cost that sums MSP and transportation cost, larger plant capacity does not necessarily generate lower delivered cost.</p>
</abstract>
<kwd-group kwd-group-type="author">
<kwd>Cross-laminated timber</kwd>
<kwd>techno-economic analysis</kwd>
<kwd>plant capacity</kwd>
<kwd>uncertainty</kwd>
<kwd>minimum selling price</kwd>
</kwd-group>
</article-meta>
</front>
<body>
<sec id="s1">
<label>1</label>
<title>Introduction</title>
<p>Currently, the reinforced concrete and steel dominate the structural systems of mid-rise buildings (e.g., commercial buildings) in North America [<xref ref-type="bibr" rid="ref-1">1</xref>,<xref ref-type="bibr" rid="ref-2">2</xref>]. Recently, cross-laminated timber (CLT) has attracted increasing attention for mid-rise buildings as an environmentally sustainable alternative to reinforced concrete and steel [<xref ref-type="bibr" rid="ref-3">3</xref>&#x2013;<xref ref-type="bibr" rid="ref-6">6</xref>]. CLT is a prefabricated mass timber product with odd lumber (sawn lumber or structural composite lumber) layers (typically 3, 5, or 7) stacked crosswise (typically 90&#x00B0;) to form a solid panel [<xref ref-type="bibr" rid="ref-1">1</xref>,<xref ref-type="bibr" rid="ref-7">7</xref>&#x2013;<xref ref-type="bibr" rid="ref-10">10</xref>]. The typical dimension of CLT panels can reach 0.30&#x2013;3.05 meters in width, 0.10&#x2013;0.25 meters in thickness, and up to 18 meters [<xref ref-type="bibr" rid="ref-11">11</xref>,<xref ref-type="bibr" rid="ref-12">12</xref>]. Over traditional reinforced concrete and steel, CLT has shown advantages in fire resistance and thermal performance [<xref ref-type="bibr" rid="ref-13">13</xref>&#x2013;<xref ref-type="bibr" rid="ref-17">17</xref>], acoustic performance [<xref ref-type="bibr" rid="ref-12">12</xref>,<xref ref-type="bibr" rid="ref-18">18</xref>&#x2013;<xref ref-type="bibr" rid="ref-21">21</xref>], mechanical properties (e.g., bending stiffness and strength) [<xref ref-type="bibr" rid="ref-22">22</xref>&#x2013;<xref ref-type="bibr" rid="ref-26">26</xref>], lower density [<xref ref-type="bibr" rid="ref-20">20</xref>,<xref ref-type="bibr" rid="ref-21">21</xref>,<xref ref-type="bibr" rid="ref-27">27</xref>], faster installation process [<xref ref-type="bibr" rid="ref-12">12</xref>,<xref ref-type="bibr" rid="ref-23">23</xref>,<xref ref-type="bibr" rid="ref-28">28</xref>], recyclability [<xref ref-type="bibr" rid="ref-3">3</xref>,<xref ref-type="bibr" rid="ref-29">29</xref>], and potential carbon storage [<xref ref-type="bibr" rid="ref-30">30</xref>,<xref ref-type="bibr" rid="ref-31">31</xref>]. Driven by these advantages, in the recent decade, the CLT market has been growing [<xref ref-type="bibr" rid="ref-11">11</xref>,<xref ref-type="bibr" rid="ref-32">32</xref>]. Energias reported that the global CLT market size was &#x0024;641 million in 2017 and forecasted to be &#x0024;1,833 million by 2024 with a compounded annual growth rate (CAGR) of 16.2&#x0025; [<xref ref-type="bibr" rid="ref-33">33</xref>]. In North America, Ganguly et al. evaluated the demand for CLT panels in the Pacific Northwest (PNW) region to be 0.19 million m<sup>3</sup>/year by 2035 compared to around 0.008 million m<sup>3</sup>/year in 2016&#x2013;2018 (less than 1&#x0025; of annual PNW timber harvest) [<xref ref-type="bibr" rid="ref-32">32</xref>]. In the study by the Council of Western State Foresters (CWSF), the CLT demand in the CWSF region (17 Western US states and 6 US affiliated Pacific Islands) was estimated to be 0.26 million m<sup>3</sup>/year by 2020 and 0.52 million m<sup>3</sup>/year by 2025 [<xref ref-type="bibr" rid="ref-34">34</xref>]. In North America, by 2016, there were five CLT manufacturers in operation (three in the U.S. and two in Canada). The CLT manufacturer number in North America now increases to eleven among which five are in Canada (Structurlam Mass Timber Corporation, Nordic Structures, Kalesnikoff Mass Timber, Leaf Engineered Wood Products, and Element5 Co.,) and six are in the U.S. (IB X-Lam USA, Johnson Wood Innovations, SmartLam, Freres Lumber Co., Vaagen Timbers, and Sterling Lumber) [<xref ref-type="bibr" rid="ref-35">35</xref>&#x2013;<xref ref-type="bibr" rid="ref-37">37</xref>]. Under this situation, understanding the economic viability of the CLT panels is important for the expansion of the CLT industry.</p>
<p>To evaluate the economic feasibility of CLT panels, techno-economic analysis (TEA) can be used as a widely adopted tool [<xref ref-type="bibr" rid="ref-38">38</xref>&#x2013;<xref ref-type="bibr" rid="ref-40">40</xref>]. Two previous TEA studies explored the economic performance of CLT panels. Brandt et al. explored the minimum selling price (MSP) of 1 m<sup>3</sup> CLT panels from softwood lumber and showed that the MSP was &#x0024;652/m<sup>3</sup> and &#x0024;536/m<sup>3</sup> for 52,000 and 87,000 m<sup>3</sup>/year plant, respectively [<xref ref-type="bibr" rid="ref-4">4</xref>]. In 2010, B&#x00E9;dard et al. evaluated the production cost of CLT from spruce lumber at a 30,000 m<sup>3</sup> CLT/year plant and concluded the cost was &#x0024;679/m<sup>3</sup> [<xref ref-type="bibr" rid="ref-41">41</xref>]. Another study by FPInnovations in 2013 briefly estimated the average CLT production cost to be &#x0024;678/m<sup>3</sup> [<xref ref-type="bibr" rid="ref-11">11</xref>]. However, previous TEA studies on CLT have not considered the variations in lumber feedstock (e.g., moisture content, lumber price), manufacturing parameters (e.g., material loss, resin usage), and transportation cost of delivering CLT panels which is dependent on varied market demanding levels and plant capacities. These variations may have large impacts on the economic viability of CLT. Strengthening the understanding of the impacts of those variations can help the future designing and planning of the CLT plant and identify the key drivers of the cost, especially under varied future market conditions.</p>
<p>This study addressed the challenge by conducting a TEA for producing CLT from softwood lumber in the Southern U.S. MSP of CLT panels was selected as the economic indicator. This study also investigated the transportation cost of delivering CLT from the plant to consumers. The transportation route was optimized by a linear programming model where the road network information was provided by Geographic Information System (GIS). The mass and energy data of the CLT plant were generated from a process-based simulation model. The data ranges of key parameters were collected from the literature to analyze their impacts on the economic performance. To model these variations, Monte Carlo simulation (MCS) was used [<xref ref-type="bibr" rid="ref-38">38</xref>,<xref ref-type="bibr" rid="ref-42">42</xref>]. Scenario analysis was conducted to evaluate the effects on MSP and delivered cost (MSP plus transportation cost of delivering CLT) under different plant capacities and market demanding levels.</p>
</sec>
<sec id="s2">
<label>2</label>
<title>Methods and Materials</title>
<p>In this study, a TEA was performed to evaluate the minimum delivered cost of 1 m<sup>3</sup> CLT panel which consists of two components, MSP out of the CLT plant gate and delivering transportation cost to the construction site. The MSP was calculated in a discounted cash flow rate of return (DCFROR) analysis, a widely adopted economic analysis tool in varied industries (see Section 2.2) [<xref ref-type="bibr" rid="ref-43">43</xref>&#x2013;<xref ref-type="bibr" rid="ref-45">45</xref>]. The MSP is a critical indicator in evaluating the economic feasibility of a product by representing the minimum product selling price to reach the breakeven point in the cash flow [<xref ref-type="bibr" rid="ref-45">45</xref>]. In other words, the MSP indicates the lowest selling price to cover all the production costs. In the DCFROR analysis, the capital costs and operating costs of the CLT plant were calculated based on the mass and energy balance generated by the process simulation model. The transportation cost was estimated by a mathematical programming model where the transportation distance was provided by the GIS model (see Section 2.3).</p>
<sec id="s2_1">
<label>2.1</label>
<title>CLT Production</title>
<p><xref ref-type="fig" rid="fig-1">Fig. 1</xref> shows the system diagram of the CLT plant. After softwood lumber arrives at the plant, lumber is unloaded by the forklift and stored in the warehouse. The forklift transfers lumber from the storage site to the lumber feeding system. In lumber preparation, lumber undergoes the visual grading and grouping process to ensure that the lumber in longitudinal layers reach visual grade No. 2 and the lumber in transverse layers reach visual grade No. 3 [<xref ref-type="bibr" rid="ref-46">46</xref>]. Then the lumber moisture content is measured. As required by the ANSI/APA PRG 320-2019 standard, the moisture content of lumber need to be 12&#x2009;&#x00B1;&#x2009;3&#x0025;, which is assumed to be the uncertainty range of lumber moisture content in this study (see <xref ref-type="table" rid="table-1">Tab. 1</xref>) [<xref ref-type="bibr" rid="ref-46">46</xref>]. Following the grading and moisture detecting, lumber is trimmed or re-cut to remove defects [<xref ref-type="bibr" rid="ref-47">47</xref>,<xref ref-type="bibr" rid="ref-48">48</xref>]. The waste from lumber preparation can vary significantly based on previous studies and highly depend on the feedstock suppliers, but is controllable by selecting qualified suppliers [<xref ref-type="bibr" rid="ref-12">12</xref>,<xref ref-type="bibr" rid="ref-41">41</xref>,<xref ref-type="bibr" rid="ref-48">48</xref>]. The range of material loss in lumber preparation is documented in <xref ref-type="table" rid="table-1">Tab. 1</xref>. The selected and grouped lumber is temporally stored for the next step, end-jointing. In the end-jointing, lumber is longitudinally end-jointed to make long continuous lumber [<xref ref-type="bibr" rid="ref-24">24</xref>]. In this study, finger-jointing was assumed to be the end-jointing type. Four-side planing is needed to meet the requirement of thickness tolerance for better bonding results [<xref ref-type="bibr" rid="ref-7">7</xref>,<xref ref-type="bibr" rid="ref-24">24</xref>]. The longitudinally assembled lumber is layered and glued for face bonding [<xref ref-type="bibr" rid="ref-28">28</xref>]. The resin was selected to be melamine formaldehyde (MF), as a commonly used resin in finger-jointing and face-bonding. The MF usage in this study was collected from the literature (see <xref ref-type="table" rid="table-1">Tab. 1</xref>) [<xref ref-type="bibr" rid="ref-12">12</xref>,<xref ref-type="bibr" rid="ref-24">24</xref>,<xref ref-type="bibr" rid="ref-48">48</xref>,<xref ref-type="bibr" rid="ref-49">49</xref>]. After pressing, the finishing step includes planing and end cutting. Planing is needed to remove any excess resin and final uneven surfaces. Since CLT panels are highly prefabricated and customized for fast erection and minimal onsite cutting, Computerized Numerical Control (CNC) is commonly used [<xref ref-type="bibr" rid="ref-50">50</xref>]. CLT is then packaged and ready for transport to the construction site.</p>
<fig id="fig-1">
<label>Figure 1</label>
<caption>
<title>Flow diagram of the CLT plant</title></caption>
<graphic mimetype="image" mime-subtype="png" xlink:href="JRM_17506-fig-1.png"/>
</fig>
<table-wrap id="table-1"><label>Table 1</label>
<caption>
<title>Key parameters with variations and uncertainties in the CLT production</title></caption>
<table>
<colgroup>
<col align="left"/>
<col align="left"/>
<col align="left"/>
<col align="left"/>
<col align="left"/>
<col align="left"/>
</colgroup>
<thead>
<tr>
<th align="left"></th>
<th align="left">Unit</th>
<th align="left" colspan="2">Mean value</th>
<th align="left">Minimum</th>
<th align="left">Maximum</th>
<th>Assumed distribution</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left">Lumber Moisture content [<xref ref-type="bibr" rid="ref-46">46</xref>]</td>
<td align="left">&#x0025;</td>
<td align="left">12</td>
<td align="left" colspan="2">9</td>
<td align="left">15</td>
<td>Triangular (9, 12, 15)</td>
</tr>
<tr>
<td align="left">Lumber density at 12&#x0025; moisture content [<xref ref-type="bibr" rid="ref-53">53</xref>]</td>
<td align="left">kg/m<sup>3</sup></td>
<td align="left">495</td>
<td align="left" colspan="2">400</td>
<td align="left">590</td>
<td>Uniform [400, 590]</td>
</tr>
<tr>
<td align="left">Resin (MF) for finger-jointing and pressing [<xref ref-type="bibr" rid="ref-12">12</xref>,<xref ref-type="bibr" rid="ref-24">24</xref>,<xref ref-type="bibr" rid="ref-48">48</xref>,<xref ref-type="bibr" rid="ref-49">49</xref>]</td>
<td align="left">kg/m<sup>3</sup> lumber input</td>
<td align="left">6.1</td>
<td align="left" colspan="2">5.3</td>
<td align="left">6.9</td>
<td>Uniform [5.3, 6.9]</td>
</tr>
<tr>
<td align="left">Planing shavings percentage [<xref ref-type="bibr" rid="ref-12">12</xref>,<xref ref-type="bibr" rid="ref-48">48</xref>]</td>
<td align="left">&#x0025;/m<sup>3</sup> CLT input</td>
<td align="left">4.0</td>
<td align="left" colspan="2">3.6</td>
<td align="left">4.5</td>
<td>Uniform [3.6, 4.5]</td>
</tr>
<tr>
<td align="left">End cutting waste percentage [<xref ref-type="bibr" rid="ref-12">12</xref>,<xref ref-type="bibr" rid="ref-48">48</xref>]</td>
<td align="left">&#x0025;/m<sup>3</sup> CLT input</td>
<td align="left">12.8</td>
<td align="left" colspan="2">12.2</td>
<td align="left">13.4</td>
<td>Uniform [12.2, 13.4]</td>
</tr>
<tr>
<td align="left">Total electricity consumption of CLT production [<xref ref-type="bibr" rid="ref-12">12</xref>,<xref ref-type="bibr" rid="ref-41">41</xref>,<xref ref-type="bibr" rid="ref-48">48</xref>,<xref ref-type="bibr" rid="ref-49">49</xref>]</td>
<td align="left">kWh/m<sup>3</sup> final CLT produced</td>
<td align="left">117.0</td>
<td align="left" colspan="2">98.9</td>
<td align="left">135</td>
<td>Uniform [98.9, 135]</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>The variations and uncertainties of the key parameters for the CLT production were collected from the literature and documented in <xref ref-type="table" rid="table-1">Tab. 1</xref>. The diesel consumption of hauling and conveying materials between unit operations was assumed 1.3 L/m<sup>3</sup> final CLT produced [<xref ref-type="bibr" rid="ref-51">51</xref>&#x2013;<xref ref-type="bibr" rid="ref-53">53</xref>].</p>
</sec>
<sec id="s2_2">
<label>2.2</label>
<title>Economic Analysis of CLT Plant</title>
<p>This economic analysis focuses on the CLT plant with capacities ranging from 30,000&#x2013;150,000 m<sup>3</sup> per year [<xref ref-type="bibr" rid="ref-4">4</xref>,<xref ref-type="bibr" rid="ref-41">41</xref>]. The mass balance data were fed into the economic analysis to determine the variable operating costs and equipment sizes that were used to scale the original purchased costs. The original purchased costs along with installing factors and scaling factors of each equipment were collected from the literature and manufacturer data. This study follows the <italic>n<sup>th</sup></italic> plant assumption which means a similar plant has been previously operated without unexpected startup delays and capacity loss [<xref ref-type="bibr" rid="ref-54">54</xref>,<xref ref-type="bibr" rid="ref-55">55</xref>]. Following Sections 2.2.1 and 2.2.2 will describe capital expenditures (CAPEX) and operating expenditures (OPEX).</p>
<p>A DCFROR analysis was established in EXCEL to calculate the MSP under varied scenarios [<xref ref-type="bibr" rid="ref-39">39</xref>,<xref ref-type="bibr" rid="ref-43">43</xref>&#x2013;<xref ref-type="bibr" rid="ref-45">45</xref>,<xref ref-type="bibr" rid="ref-56">56</xref>]. <xref ref-type="table" rid="table-2">Tab. 2</xref> lists the assumptions and parameters used in the DCFROR analysis [<xref ref-type="bibr" rid="ref-54">54</xref>,<xref ref-type="bibr" rid="ref-57">57</xref>]. In the DCFROR spreadsheet, MSP is derived by setting IRR to be 10&#x0025; and the Net Present Value (NPV) to be zero [<xref ref-type="bibr" rid="ref-45">45</xref>]. NPV was calculated by <xref ref-type="disp-formula" rid="eqn-1">Eq. (1)</xref> [<xref ref-type="bibr" rid="ref-58">58</xref>,<xref ref-type="bibr" rid="ref-59">59</xref>], where <italic>a<sub>t</sub> </italic>is the cash flow at time <italic>t</italic> with IRR <italic>r</italic>.
<disp-formula id="eqn-1"><label>(1)</label>
<mml:math id="mml-eqn-1" display="block"><mml:mi>N</mml:mi><mml:mi>P</mml:mi><mml:mi>V</mml:mi><mml:mo>=</mml:mo><mml:munderover><mml:mrow><mml:mo movablelimits="false">&#x2211;</mml:mo></mml:mrow><mml:mrow><mml:mi>t</mml:mi><mml:mo>=</mml:mo><mml:mn>0</mml:mn></mml:mrow><mml:mi>n</mml:mi></mml:munderover><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mrow><mml:mfrac><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mi>t</mml:mi></mml:msub></mml:mrow><mml:mrow><mml:msup><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mn>1</mml:mn><mml:mo>+</mml:mo><mml:mi>r</mml:mi></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mi>t</mml:mi></mml:msup></mml:mrow></mml:mfrac></mml:mrow></mml:mstyle></mml:math>
</disp-formula></p>
<table-wrap id="table-2"><label>Table 2</label>
<caption>
<title>Economic assumptions for the CLT plant [<xref ref-type="bibr" rid="ref-54">54</xref>,<xref ref-type="bibr" rid="ref-57">57</xref>]</title></caption>
<table>
<colgroup>
<col align="left"/>
<col align="left"/>
</colgroup>
<thead>
<tr>
<th align="left">Assumptions</th>
<th align="left">Value</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left">Year of analysis</td>
<td align="left">2018</td>
</tr>
<tr>
<td align="left">Internal rate of return</td>
<td align="left">10&#x0025;</td>
</tr>
<tr>
<td align="left">Income tax rate</td>
<td align="left">21&#x0025;</td>
</tr>
<tr>
<td align="left">Loan interest</td>
<td align="left">8&#x0025;</td>
</tr>
<tr>
<td align="left">Loan years</td>
<td align="left">10 years</td>
</tr>
<tr>
<td align="left">Financing</td>
<td align="left">40&#x0025; by equity</td>
</tr>
<tr>
<td align="left">Plant life</td>
<td align="left">20 years</td>
</tr>
<tr>
<td align="left">Plant construction time</td>
<td align="left">36 months</td>
</tr>
<tr>
<td align="left">Percentage of spending in year 1, 2, and 3</td>
<td align="left">8&#x0025; in year 1; 60&#x0025; in year 2; 32&#x0025; in year 3</td>
</tr>
<tr>
<td align="left">Working capital</td>
<td align="left">5&#x0025; of fixed capital investment</td>
</tr>
<tr>
<td align="left">Salvage value of plant</td>
<td align="left">0</td>
</tr>
<tr>
<td align="left">Start-up time</td>
<td align="left">6 months</td>
</tr>
<tr>
<td align="left">Revenues during start-up time</td>
<td align="left">50&#x0025;</td>
</tr>
<tr>
<td align="left">Variable cost during start-up time</td>
<td align="left">75&#x0025;</td>
</tr>
<tr>
<td align="left">Fixed cost during start-up time</td>
<td align="left">100&#x0025;</td>
</tr>
</tbody>
</table>
</table-wrap>
<sec id="s2_2_1">
<label>2.2.1</label>
<title>CAPEX</title>
<p>The original purchased costs along with installing factors and scaling factors of each equipment were based on the literature and manufacturer information and then were scaled to the capacities by using scaling factors in this study. <xref ref-type="table" rid="table-3">Tab. 3</xref> shows the purchased costs and installed costs of the major areas at 30,000 m<sup>3</sup> CLT/year as an example. The detailed equipment list with scaling factors, purchased costs, and installed cost is available in Appendix A. <xref ref-type="table" rid="table-10">Tab. S1</xref>. To adjust equipment purchase costs to the year of analysis 2018, plant cost indices by Chemical Engineering Magazine are used [<xref ref-type="bibr" rid="ref-60">60</xref>]. To account for the uncertainties of the equipment costs, this study adopts the data range to be &#x00B1;30&#x0025; which is commonly estimated as the accuracy of this scaling method in TEA [<xref ref-type="bibr" rid="ref-4">4</xref>,<xref ref-type="bibr" rid="ref-61">61</xref>].</p>
<table-wrap id="table-3"><label>Table 3</label>
<caption>
<title>Purchased cost and installed cost (2018&#x0024;) of a CLT plant at 30,000 m<sup>3</sup>/year [<xref ref-type="bibr" rid="ref-41">41</xref>,<xref ref-type="bibr" rid="ref-45">45</xref>,<xref ref-type="bibr" rid="ref-63">63</xref>&#x2013;<xref ref-type="bibr" rid="ref-65">65</xref>]</title></caption>
<table>
<colgroup>
<col align="left"/>
<col align="left"/>
<col align="left"/>
</colgroup>
<thead>
<tr>
<th align="left">Area</th>
<th align="left">Purchased cost</th>
<th align="left">Installed cost</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left">Handling and preparation</td>
<td align="left">&#x0024;984,479</td>
<td align="left">&#x0024;1,554,528</td>
</tr>
<tr>
<td align="left">End jointing</td>
<td align="left">&#x0024;1,100,192</td>
<td align="left">&#x0024;1,760,308</td>
</tr>
<tr>
<td align="left">Layering and gluing</td>
<td align="left">&#x0024;3,856,318</td>
<td align="left">&#x0024;6,170,109</td>
</tr>
<tr>
<td align="left">Pressing</td>
<td align="left">&#x0024;675,980</td>
<td align="left">&#x0024;1,081,568</td>
</tr>
<tr>
<td align="left">Finishing</td>
<td align="left">&#x0024;3,292,169</td>
<td align="left">&#x0024;5,267,470</td>
</tr>
<tr>
<td align="left">Miscellaneous</td>
<td align="left">&#x0024;2,212,592</td>
<td align="left">&#x0024;3,572,493</td>
</tr>
<tr>
<td align="left">Total</td>
<td align="left">&#x0024;12,121,730</td>
<td align="left">&#x0024;19,406,475</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>After the total installed cost (TIC) has been decided, there are several direct costs and indirect costs. These direct costs include warehouse, site development, and additional piping. Then the total direct costs (TDC) are the sum of TIC and these direct costs. The indirect costs contain prorated expenses, home office and construction fees, field expenses, project contingency, and other costs, which are calculated based on TDC [<xref ref-type="bibr" rid="ref-45">45</xref>]. Fixed capital investment (FCI) sums TDC and indirect costs. The land cost is assumed to be 60 acres at &#x0024;14,000 per acre [<xref ref-type="bibr" rid="ref-62">62</xref>]. <xref ref-type="table" rid="table-3">Tab. 3</xref> summarizes the assumptions in baseline costs related to direct and indirect costs. <xref ref-type="table" rid="table-4">Tab. 4</xref> lists the project cost assumptions.</p>
</sec>
<sec id="s2_2_2">
<label>2.2.2</label>
<title>OPEX</title>
<p>The operating costs of the CLT plant contain two components. One is variable operating costs, including raw materials, waste stream charges, and fuel consumption. The other one is fixed operating costs, including labor cost and other overhead costs (i.e., maintenance and property insurance). For variable operating costs, the quantities of raw materials, waste streams, and energy consumption were decided by the process simulation. The variations and uncertainties in the prices of raw materials, waste stream charges, and fuels were collected from the literature and documented in <xref ref-type="table" rid="table-5">Tab. 5</xref> [<xref ref-type="bibr" rid="ref-66">66</xref>&#x2013;<xref ref-type="bibr" rid="ref-71">71</xref>]. If the price is not in the year of analysis, then the Producer Price Index for chemical manufacturing is used to adjust the original prices [<xref ref-type="bibr" rid="ref-72">72</xref>]. The lumber price data were determined by the price range of 2018 in the U.S. [<xref ref-type="bibr" rid="ref-66">66</xref>,<xref ref-type="bibr" rid="ref-67">67</xref>]. It is noticeable that the lumber price could have much higher fluctuations. For example, the highest lumber price in 2020 under the COVID-19 pandemic situation recorded over &#x0024;400/m<sup>3</sup> [<xref ref-type="bibr" rid="ref-66">66</xref>,<xref ref-type="bibr" rid="ref-67">67</xref>].</p>
<table-wrap id="table-4"><label>Table 4</label>
<caption>
<title>Project cost assumptions [<xref ref-type="bibr" rid="ref-45">45</xref>]</title></caption>
<table>
<colgroup>
<col align="left"/>
<col align="left"/>
</colgroup>
<thead>
<tr>
<th align="left">Assumptions</th>
<th align="left">Value</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left">Direct costs</td>
<td align="left"></td>
</tr>
<tr>
<td align="left">Warehouse</td>
<td align="left">4.0&#x0025; of ISBL</td>
</tr>
<tr>
<td align="left">Site development</td>
<td align="left">9.0&#x0025; of ISBL</td>
</tr>
<tr>
<td align="left">Additional piping</td>
<td align="left">4.5&#x0025; of ISBL</td>
</tr>
<tr>
<td align="left">Indirect costs</td>
<td align="left"/>
</tr>
<tr>
<td align="left">Prorated expenses</td>
<td align="left">10&#x0025; of TDC</td>
</tr>
<tr>
<td align="left">Field expenses</td>
<td align="left">10&#x0025; of TDC</td>
</tr>
<tr>
<td align="left">Home office &#x0026; construction fees</td>
<td align="left">20&#x0025; of TDC</td>
</tr>
<tr>
<td align="left">Project contingency</td>
<td align="left">10&#x0025; of TDC</td>
</tr>
<tr>
<td align="left">Other costs</td>
<td align="left">10&#x0025; of TDC</td>
</tr>
<tr>
<td align="left">Working capital</td>
<td align="left">5&#x0025; of FCI</td>
</tr>
</tbody>
</table>
</table-wrap>
<table-wrap id="table-5"><label>Table 5</label>
<caption>
<title>Variable operating costs and product prices (2018&#x0024;)</title></caption>
<table>
<colgroup>
<col align="left"/>
<col align="left"/>
<col align="left"/>
<col align="left"/>
<col align="left"/>
<col align="left"/>
</colgroup>
<thead>
<tr>
<th align="left"/>
<th align="left">Unit</th>
<th align="left">Mean value</th>
<th align="left">Minimum</th>
<th align="left">Maximum</th>
<th align="left">Assumed distribution</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left">Lumber price [<xref ref-type="bibr" rid="ref-66">66</xref>,<xref ref-type="bibr" rid="ref-67">67</xref>]</td>
<td align="left">&#x0024; m<sup>&#x2212;3</sup></td>
<td align="left">142.5</td>
<td align="left">123</td>
<td align="left">162</td>
<td align="left">Uniform [123, 162]</td>
</tr>
<tr>
<td align="left">MF price [<xref ref-type="bibr" rid="ref-68">68</xref>]</td>
<td align="left">&#x0024; tonne<sup>&#x2212;1</sup></td>
<td align="left">1540</td>
<td align="left">1480</td>
<td align="left">1600</td>
<td align="left">Uniform [1480, 1600]</td>
</tr>
<tr>
<td align="left">Electricity price [<xref ref-type="bibr" rid="ref-69">69</xref>]</td>
<td align="left">cent per kWh</td>
<td align="left">6.94</td>
<td align="left">6.57</td>
<td align="left">7.32</td>
<td align="left">Uniform [6.57, 7.32]</td>
</tr>
<tr>
<td align="left">Diesel price [<xref ref-type="bibr" rid="ref-70">70</xref>]</td>
<td align="left">&#x0024; L<sup>&#x2212;1</sup> </td>
<td align="left">0.84</td>
<td align="left">0.79</td>
<td align="left">0.89</td>
<td align="left">Uniform [0.79, 0.89]</td>
</tr>
<tr>
<td align="left">Waste disposal cost [<xref ref-type="bibr" rid="ref-71">71</xref>]</td>
<td align="left">&#x0024; m<sup>&#x2212;3</sup></td>
<td align="left">57.8</td>
<td align="left">40.7</td>
<td align="left">74.9</td>
<td align="left">Uniform [40.7, 74.9]</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>For fixed operating costs, <xref ref-type="table" rid="table-6">Tab. 6</xref> exhibits the labor costs and other overhead costs at 30,000 m<sup>3</sup> CLT/year. The positions and salaries are based on the reports by the National Renewable Energy Laboratory (NREL) [<xref ref-type="bibr" rid="ref-54">54</xref>]. To adjust the salaries to the year of analysis, the labor index from the Bureau of Labor Statistics was used [<xref ref-type="bibr" rid="ref-73">73</xref>]. In this study, three shifts are assumed for the CLT plant. To account for the variations in operators needed, it is assumed 10&#x2013;13 operators per shift for the plant at 30,000 m<sup>3</sup>/year.</p>
<table-wrap id="table-6"><label>Table 6</label>
<caption>
<title>Fixed operating costs for the CLT plant at 30,000 m<sup>3</sup> CLT/year (2018&#x0024;) [<xref ref-type="bibr" rid="ref-54">54</xref>]</title></caption>
<table>
<colgroup>
<col align="left"/>
<col align="left"/>
<col align="left"/>
<col align="left"/>
</colgroup>
<thead>
<tr>
<th align="left" colspan="4"><italic>Labor costs</italic></th>
</tr>
<tr>
<th align="left">Positions</th>
<th align="left">Salary</th>
<th align="left">Number</th>
<th align="left">Cost</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left">Plant manager</td>
<td align="left">184366</td>
<td align="left">1</td>
<td align="left">&#x00A0;184,366</td>
</tr>
<tr>
<td align="left">Plant engineer</td>
<td align="left">87793</td>
<td align="left">1</td>
<td align="left">&#x00A0;87,793</td>
</tr>
<tr>
<td align="left">Maintenance supervisor</td>
<td align="left">71489</td>
<td align="left">1</td>
<td align="left">&#x00A0;71,489</td>
</tr>
<tr>
<td align="left">Maintenance technician</td>
<td align="left">50167</td>
<td align="left">4</td>
<td align="left">&#x00A0;200,670</td>
</tr>
<tr>
<td align="left">Shift supervisor</td>
<td align="left">60201</td>
<td align="left">1</td>
<td align="left">&#x00A0;60,201</td>
</tr>
<tr>
<td align="left">Shift operator</td>
<td align="left">50167</td>
<td align="left">33<sup>a</sup></td>
<td align="left">&#x00A0;1,806,030</td>
</tr>
<tr>
<td align="left">Yard employee</td>
<td align="left">35117</td>
<td align="left">1</td>
<td align="left">&#x00A0;35,117</td>
</tr>
<tr>
<td align="left">Clerks &#x0026; secretaries</td>
<td align="left">45151</td>
<td align="left">1</td>
<td align="left">&#x00A0;45,151</td>
</tr>
<tr>
<td align="left">Total salaries</td>
<td align="left">&#x00A0;</td>
<td align="left">&#x00A0;</td>
<td align="left">&#x00A0;2,490,816</td>
</tr>
<tr>
<td align="left">Benefits and overhead (90&#x0025; of total salaries)</td>
<td align="left">&#x00A0;</td>
<td align="left">&#x00A0;</td>
<td align="left">&#x00A0;2,241,734</td>
</tr>
<tr>
<td align="left" colspan="4"><italic>Other overhead costs</italic></td>
</tr>
<tr>
<td align="left">Maintenance (3&#x0025; of ISBL)</td>
<td align="left">&#x00A0;</td>
<td align="left">&#x00A0;</td>
<td align="left">&#x00A0;581,162</td>
</tr>
<tr>
<td align="left">Insurance and taxes (1&#x0025; of FCI)</td>
<td align="left">&#x00A0;</td>
<td align="left">&#x00A0;</td>
<td align="left">&#x00A0;255,322</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn id="tfn6_1">
<p>Note: <sup>a</sup>Three shifts are assumed.</p>
</fn>
</table-wrap-foot>
</table-wrap>
</sec>
</sec>
<sec id="s2_3">
<label>2.3</label>
<title>Transportation Cost of Delivering CLT</title>
<sec id="s2_3_1">
<label>2.3.1</label>
<title>Market Demanding of CLT</title>
<p>The market demanding of CLT panels in the southern U.S. is estimated by assuming the market share of commercial buildings at a county level based on the literature data [<xref ref-type="bibr" rid="ref-11">11</xref>,<xref ref-type="bibr" rid="ref-34">34</xref>,<xref ref-type="bibr" rid="ref-41">41</xref>,<xref ref-type="bibr" rid="ref-74">74</xref>,<xref ref-type="bibr" rid="ref-75">75</xref>]. Three different market demanding levels are modeled in this study: 1&#x0025;, 5&#x0025;, and 15&#x0025;, representing low, medium, and high demanding level, respectively [<xref ref-type="bibr" rid="ref-11">11</xref>,<xref ref-type="bibr" rid="ref-34">34</xref>,<xref ref-type="bibr" rid="ref-41">41</xref>]. The annual CLT demanding at the county level in the southern U.S., is estimated by <xref ref-type="disp-formula" rid="eqn-2">Eq. (2)</xref>.
<disp-formula id="eqn-2"><label>(2)</label>
<mml:math id="mml-eqn-2" display="block"><mml:msub><mml:mi>D</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>A</mml:mi><mml:mrow><mml:mi>c</mml:mi><mml:mi>o</mml:mi><mml:mi>m</mml:mi><mml:mi>m</mml:mi><mml:mi>e</mml:mi><mml:mi>r</mml:mi><mml:mi>c</mml:mi><mml:mi>i</mml:mi><mml:mi>a</mml:mi><mml:mi>l</mml:mi><mml:mo>,</mml:mo><mml:mi>i</mml:mi></mml:mrow></mml:msub><mml:mo>&#x00D7;</mml:mo><mml:mi>F</mml:mi><mml:mo>&#x00D7;</mml:mo><mml:mi>D</mml:mi><mml:mi>L</mml:mi></mml:math>
</disp-formula><italic>D<sub>i</sub></italic> is the CLT demanding in county <italic>i</italic>; <italic>A<sub>commercial,i</sub></italic> is the annual newly constructed floor area (m<sup>2</sup>) of commercial building in county <italic>i</italic>; <italic>DL</italic> is the market demanding level of CLT (1&#x0025;, 5&#x0025;, or 15&#x0025;); <italic>F</italic> is the CLT usage factor (0.167 m<sup>3</sup> CLT per m<sup>2</sup> floor area) that is evaluated based on the average value of the literature data [<xref ref-type="bibr" rid="ref-1">1</xref>,<xref ref-type="bibr" rid="ref-27">27</xref>,<xref ref-type="bibr" rid="ref-76">76</xref>,<xref ref-type="bibr" rid="ref-77">77</xref>]. <italic>A<sub>commercial,i</sub> </italic>is estimated by using the average U.S. new commercial building area per capita based on the Commercial Buildings Energy Consumption Survey (CBECS) data by U.S. Energy Information Agency (US EIA) [<xref ref-type="bibr" rid="ref-75">75</xref>]. In this study, the commercial buildings include traditional commercial buildings (e.g., stores, restaurants, warehouses, and office buildings) and hospitals, institutions, and buildings for religious worship, following the same definition given by US EIA [<xref ref-type="bibr" rid="ref-75">75</xref>]. An example of the county-level demanding results (1,339 counties) at 1&#x0025; demanding level is presented in <xref ref-type="fig" rid="fig-2">Fig. 2</xref> (the results of 5&#x0025; and 15&#x0025; demanding levels are available in Appendix B. <xref ref-type="fig" rid="fig-8">Figs. S1</xref> and <xref ref-type="fig" rid="fig-9">S2</xref>).</p>
<fig id="fig-2">
<label>Figure 2</label>
<caption>
<title>County-level CLT demanding results at 1&#x0025; demanding level in the Southern U.S.</title></caption>
<graphic mimetype="image" mime-subtype="png" xlink:href="JRM_17506-fig-2.png"/>
</fig>
</sec>
<sec id="s2_3_2">
<label>2.3.2</label>
<title>Transportation Distance</title>
<p>To estimate the travel cost at the county level, road distances between the CLT plant and geometric centers of counties within the whole south region were derived through Network Analysis in ArcGIS 10.6 [<xref ref-type="bibr" rid="ref-78">78</xref>]. In the road network analysis, the primary and secondary road system were considered and downloaded from the 2018 TIGER/Line shapefiles by US Census Bureau [<xref ref-type="bibr" rid="ref-79">79</xref>] (see Appendix B. <xref ref-type="fig" rid="fig-10">Fig. S3</xref>). The primary roads were the limited-access highways within the interstate highway system or under State management, and the secondary roads were main arteries within the U.S. Highway, State Highway, and County Highway systems [<xref ref-type="bibr" rid="ref-80">80</xref>]. For the average truck speed on two types of roads, it was assumed to be 113&#x2005;km/h (70 mile/h) for all roads that contained &#x201C;Hwy&#x201D; (i.e., highway) in their full name and 89&#x2005;km/hr (55 mile/h) for other non-highway roads, based on the report of U.S. Department of Transportation [<xref ref-type="bibr" rid="ref-81">81</xref>].</p>
</sec>
<sec id="s2_3_3">
<label>2.3.3</label>
<title>Transportation Cost Rate</title>
<p>The transportation cost <italic>T<sub>i</sub></italic> (&#x0024;/m<sup>3</sup>) for delivering 1 m<sup>3</sup> CLT panels from the plant to county <italic>i</italic> (round trip) is estimated based on <xref ref-type="disp-formula" rid="eqn-4">Eq. (3)</xref> [<xref ref-type="bibr" rid="ref-82">82</xref>,<xref ref-type="bibr" rid="ref-83">83</xref>]. The assumed values for the parameters in <xref ref-type="disp-formula" rid="eqn-3">Eq. (3)</xref> are documented in <xref ref-type="table" rid="table-7">Tab. 7</xref>. <italic>l</italic> and <italic>u</italic> is load time and unload time, respectively [<xref ref-type="bibr" rid="ref-83">83</xref>]. <italic>L<sub>1</sub></italic> and <italic>L<sub>2</sub></italic> the transportation distance of primary (i.e., Level 1) and secondary (i.e., Level 2) road, which is determined by the GIS model as shown in Section 2.3.2 <italic>v<sub>1</sub></italic> and <italic>v<sub>2</sub></italic> depict the average speed for Level 1 and Level 2 road. <italic>c</italic> describes the driver-based cost, including driver wages and benefits [<xref ref-type="bibr" rid="ref-82">82</xref>]; <italic>p</italic> is truck-based cost, including truck/trailer lease or purchase payment, repair and maintenance, insurance premiums, permits and licenses, tires, and tolls [<xref ref-type="bibr" rid="ref-82">82</xref>]; <italic>f</italic> is fuel cost based on the American Transportation Research Institute data (6.3 miles per gallon (2.7 L/km) for 60,00&#x2005;lb operating weight) [<xref ref-type="bibr" rid="ref-82">82</xref>] and diesel price (&#x0024;3.18/gallon) by US EIA [<xref ref-type="bibr" rid="ref-84">84</xref>]. <italic>m</italic> is the weight load of CLT panels with an assumption of for 60,000&#x2005;lb (27.2 metric ton) [<xref ref-type="bibr" rid="ref-82">82</xref>,<xref ref-type="bibr" rid="ref-83">83</xref>]; <italic>&#x03C1;</italic> is the average density of CLT panels.
<disp-formula id="eqn-3"><label>(3)</label>
<mml:math id="mml-eqn-3" display="block"><mml:msub><mml:mi>T</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mrow><mml:mfrac><mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:mi>l</mml:mi><mml:mo>+</mml:mo><mml:mi>u</mml:mi><mml:mo>+</mml:mo><mml:mn>2</mml:mn><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mrow><mml:mfrac><mml:mrow><mml:msub><mml:mi>L</mml:mi><mml:mrow><mml:mn>1</mml:mn><mml:mi>i</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>v</mml:mi><mml:mn>1</mml:mn></mml:msub></mml:mrow></mml:mfrac></mml:mrow><mml:mo>+</mml:mo><mml:mstyle displaystyle="true" scriptlevel="0"><mml:mrow><mml:mfrac><mml:mrow><mml:msub><mml:mi>L</mml:mi><mml:mrow><mml:mn>2</mml:mn><mml:mi>i</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>v</mml:mi><mml:mn>2</mml:mn></mml:msub></mml:mrow></mml:mfrac></mml:mrow></mml:mstyle></mml:mstyle></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:mrow><mml:mo>)</mml:mo></mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi>c</mml:mi><mml:mo>+</mml:mo><mml:mi>p</mml:mi></mml:mrow><mml:mo stretchy="false">)</mml:mo><mml:mo>+</mml:mo><mml:mn>2</mml:mn><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:msub><mml:mi>L</mml:mi><mml:mrow><mml:mn>1</mml:mn><mml:mi>i</mml:mi></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>L</mml:mi><mml:mrow><mml:mn>2</mml:mn><mml:mi>i</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mo stretchy="false">)</mml:mo><mml:mi>f</mml:mi></mml:mrow><mml:mrow><mml:mi>m</mml:mi><mml:mrow><mml:mo>/</mml:mo></mml:mrow><mml:mi>&#x03C1;</mml:mi></mml:mrow></mml:mfrac></mml:mrow></mml:mstyle></mml:math>
</disp-formula></p>
<table-wrap id="table-7"><label>Table 7</label>
<caption>
<title>Parameter values for transportation cost rate (2018&#x0024;)</title></caption>
<table>
<colgroup>
<col align="left"/>
<col align="left"/>
<col align="left"/>
</colgroup>
<thead>
<tr>
<th align="left">Parameter</th>
<th align="left">Value</th>
<th align="left">Unit</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left">Load time <italic>l</italic> [<xref ref-type="bibr" rid="ref-83">83</xref>]</td>
<td align="left">0.5</td>
<td align="left">h</td>
</tr>
<tr>
<td align="left">Unload time <italic>u</italic> [<xref ref-type="bibr" rid="ref-83">83</xref>]</td>
<td align="left">0.5</td>
<td align="left">h</td>
</tr>
<tr>
<td align="left">Average speed for Level 1 road <italic>v<sub>1</sub></italic></td>
<td align="left">88</td>
<td align="left">km/h</td>
</tr>
<tr>
<td align="left">Average speed for Level 2 road <italic>v<sub>2</sub></italic></td>
<td align="left">72</td>
<td align="left">km/h</td>
</tr>
<tr>
<td align="left">Driver-based cost <italic>c</italic> [<xref ref-type="bibr" rid="ref-82">82</xref>]</td>
<td align="left">30.6</td>
<td align="left">&#x0024;/h</td>
</tr>
<tr>
<td align="left">&#x2003;<italic>Driver wage</italic></td>
<td align="left"><italic>23.5</italic></td>
<td align="left"><italic>&#x0024;/h</italic></td>
</tr>
<tr>
<td align="left">&#x2003;<italic>Driver benefit</italic></td>
<td align="left"><italic>7.1</italic></td>
<td align="left"><italic>&#x0024;/h</italic></td>
</tr>
<tr>
<td align="left">Truck-based cost <italic>p</italic> [<xref ref-type="bibr" rid="ref-82">82</xref>]</td>
<td align="left">24.1</td>
<td align="left">&#x0024;/h</td>
</tr>
<tr>
<td align="left">&#x2003;<italic>Truck/trailer lease or purchase payment</italic></td>
<td align="left"><italic>10.4</italic></td>
<td align="left"><italic>&#x0024;/h</italic></td>
</tr>
<tr>
<td align="left">&#x2003;<italic>Repair and maintenance</italic></td>
<td align="left"><italic>6.7</italic></td>
<td align="left"><italic>&#x0024;/h</italic></td>
</tr>
<tr>
<td align="left">&#x2003;<italic>Insurance premiums</italic></td>
<td align="left"><italic>3.3</italic></td>
<td align="left"><italic>&#x0024;/h</italic></td>
</tr>
<tr>
<td align="left">&#x2003;<italic>Permits and licenses</italic></td>
<td align="left"><italic>1.0</italic></td>
<td align="left"><italic>&#x0024;/h</italic></td>
</tr>
<tr>
<td align="left">&#x2003;<italic>Tires</italic></td>
<td align="left"><italic>1.5</italic></td>
<td align="left"><italic>&#x0024;/h</italic></td>
</tr>
<tr>
<td align="left">&#x2003;<italic>Tolls</italic></td>
<td align="left"><italic>1.2</italic></td>
<td align="left"><italic>&#x0024;/h</italic></td>
</tr>
<tr>
<td align="left">Fuel cost <italic>c</italic> [<xref ref-type="bibr" rid="ref-82">82</xref>,<xref ref-type="bibr" rid="ref-84">84</xref>]</td>
<td align="left">0.31</td>
<td align="left">&#x0024;/km</td>
</tr>
<tr>
<td align="left">Truck load <italic>m</italic> [<xref ref-type="bibr" rid="ref-82">82</xref>]</td>
<td align="left">27.2</td>
<td align="left">metric ton</td>
</tr>
<tr>
<td align="left">CLT average density <italic>&#x03C1;</italic> [<xref ref-type="bibr" rid="ref-53">53</xref>]</td>
<td align="left">495</td>
<td align="left">kg/m<sup>3</sup></td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="s2_3_4">
<label>2.3.4</label>
<title>Least-Cost Route Determined by LP Model</title>
<p>An LP mathematical model was adopted to minimize the transportation cost of delivering the CLT panels. The input variables and decision variables are listed in <xref ref-type="table" rid="table-8">Tab. 8</xref>. CLT demanding of county <italic>i</italic> in each scenario, <italic>D<sub>is</sub></italic>, is derived based on the results of Section 2.3.1; the transportation cost <italic>T<sub>i</sub></italic> is derived from the results of Section 2.3.3. This study includes total 1,339 counties in <italic>L</italic>, 7 capacities of the CLT plant, and 21 scenarios in <italic>S</italic> (see Section 2.3.1). In this study, the LP problem is solved in MATLAB 2018 for each scenario.</p>
<table-wrap id="table-8"><label>Table 8</label>
<caption>
<title>Input variables and decision variables of the LP model</title></caption>
<table>
<colgroup>
<col align="left"/>
<col align="left"/>
</colgroup>
<thead>
<tr>
<th align="left">Variables</th>
<th align="left">Description</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" colspan="2"><italic>Input variables</italic></td>
</tr>
<tr>
<td align="left"><italic>T<sub>i</sub></italic></td>
<td align="left">Transportation cost of delivering 1 m<sup>3</sup> CLT to county <italic>i</italic></td>
</tr>
<tr>
<td align="left"><italic>D<sub>is</sub></italic></td>
<td align="left">CLT demanding of county <italic>i</italic> in scenario <italic>s</italic></td>
</tr>
<tr>
<td align="left"><italic>L</italic></td>
<td align="left">Set of counties in the southern U.S.</td>
</tr>
<tr>
<td align="left"><italic>Y<sub>s</sub></italic></td>
<td align="left">Capacity of the CLT plant in scenario <italic>s</italic></td>
</tr>
<tr>
<td align="left"><italic>S</italic></td>
<td align="left">Set of scenarios</td>
</tr>
<tr>
<td align="left" colspan="2"><italic>Decision variables</italic></td>
</tr>
<tr>
<td align="left"><italic>X<sub>is</sub></italic></td>
<td align="left">Volume of CLT delivered to county <italic>i</italic> in scenario <italic>s</italic></td>
</tr>
</tbody>
</table>
</table-wrap>
<p>There are two constraints involved in this problem. In constraint 1, the volume of delivered CLT panels to county <italic>i</italic> is no larger than the CLT demanding of county <italic>i</italic> in each scenario.
<disp-formula id="eqn-4"><label>(3)</label>
<mml:math id="mml-eqn-4" display="block"><mml:msub><mml:mi>X</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>s</mml:mi></mml:mrow></mml:msub><mml:mo>&#x2264;</mml:mo><mml:msub><mml:mi>D</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>s</mml:mi></mml:mrow></mml:msub><mml:mo>,</mml:mo><mml:mspace width="thickmathspace" /><mml:mspace width="thickmathspace" /><mml:mi mathvariant="normal">&#x2200;</mml:mi><mml:mi>i</mml:mi><mml:mo>&#x2208;</mml:mo><mml:mi>L</mml:mi><mml:mo>,</mml:mo><mml:mspace width="thickmathspace" /><mml:mspace width="thickmathspace" /><mml:mi>s</mml:mi><mml:mo>&#x2208;</mml:mo><mml:mi>S</mml:mi></mml:math>
</disp-formula>In constraint 2, the total delivered CLT panels need to equal to the capacity of the CLT plant in each scenario.
<disp-formula id="eqn-5"><label>(4)</label>
<mml:math id="mml-eqn-5" display="block"><mml:munder><mml:mrow><mml:mo movablelimits="false">&#x2211;</mml:mo></mml:mrow><mml:mi>i</mml:mi></mml:munder><mml:mo>&#x2061;</mml:mo><mml:msub><mml:mi>X</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>s</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>Y</mml:mi><mml:mi>s</mml:mi></mml:msub><mml:mo>,</mml:mo><mml:mspace width="thickmathspace" /><mml:mspace width="thickmathspace" /><mml:mi mathvariant="normal">&#x2200;</mml:mi><mml:mi>s</mml:mi><mml:mo>&#x2208;</mml:mo><mml:mi>S</mml:mi></mml:math>
</disp-formula>Hence, to minimize the average transportation cost (&#x0024;/m<sup>3</sup>), the LP model is formulated as follows:</p>
<p><inline-formula id="ieqn-1"><mml:math id="mml-ieqn-1"><mml:mrow><mml:mi mathvariant="normal">m</mml:mi><mml:mi mathvariant="normal">i</mml:mi><mml:mi mathvariant="normal">n</mml:mi><mml:mtext>&#xA0;</mml:mtext></mml:mrow><mml:munder><mml:mrow><mml:mo movablelimits="false">&#x2211;</mml:mo></mml:mrow><mml:mi>i</mml:mi></mml:munder><mml:mo>&#x2061;</mml:mo><mml:mo stretchy="false">(</mml:mo><mml:msub><mml:mi>T</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:msub><mml:mi>X</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>s</mml:mi></mml:mrow></mml:msub><mml:mrow><mml:mo>/</mml:mo></mml:mrow><mml:msub><mml:mi>Y</mml:mi><mml:mi>s</mml:mi></mml:msub><mml:mo stretchy="false">)</mml:mo></mml:math>
</inline-formula></p>
<p><inline-formula id="ieqn-2"><mml:math id="mml-ieqn-2"><mml:mrow><mml:mi mathvariant="normal">s</mml:mi></mml:mrow><mml:mrow><mml:mo>.</mml:mo><mml:mi mathvariant="normal">t</mml:mi></mml:mrow><mml:mrow><mml:mo>.</mml:mo><mml:mtext>&#xA0;</mml:mtext></mml:mrow><mml:msub><mml:mi>X</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>s</mml:mi></mml:mrow></mml:msub><mml:mo>&#x2264;</mml:mo><mml:msub><mml:mi>D</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>s</mml:mi></mml:mrow></mml:msub><mml:mo>,</mml:mo><mml:mspace width="thickmathspace" /><mml:mspace width="thickmathspace" /><mml:mi mathvariant="normal">&#x2200;</mml:mi><mml:mi>i</mml:mi><mml:mo>&#x2208;</mml:mo><mml:mi>L</mml:mi><mml:mo>,</mml:mo><mml:mspace width="thickmathspace" /><mml:mspace width="thickmathspace" /><mml:mi>s</mml:mi><mml:mo>&#x2208;</mml:mo><mml:mi>S</mml:mi></mml:math>
</inline-formula></p>
<p><inline-formula id="ieqn-3"><mml:math id="mml-ieqn-3"><mml:msub><mml:mrow><mml:mo movablelimits="false">&#x2211;</mml:mo></mml:mrow><mml:mi>i</mml:mi></mml:msub><mml:mo>&#x2061;</mml:mo><mml:msub><mml:mi>X</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>s</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>Y</mml:mi><mml:mi>s</mml:mi></mml:msub><mml:mo>,</mml:mo><mml:mspace width="thickmathspace" /><mml:mspace width="thickmathspace" /><mml:mi mathvariant="normal">&#x2200;</mml:mi><mml:mi>s</mml:mi><mml:mo>&#x2208;</mml:mo><mml:mi>S</mml:mi></mml:math>
</inline-formula></p>
<p><inline-formula id="ieqn-4"><mml:math id="mml-ieqn-4"><mml:msub><mml:mi>X</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>s</mml:mi></mml:mrow></mml:msub><mml:mo>&#x2265;</mml:mo><mml:mn>0</mml:mn><mml:mo>,</mml:mo><mml:mspace width="thickmathspace" /><mml:mspace width="thickmathspace" /><mml:mi mathvariant="normal">&#x2200;</mml:mi><mml:mi>i</mml:mi><mml:mo>&#x2208;</mml:mo><mml:mi>L</mml:mi><mml:mo>,</mml:mo><mml:mspace width="thickmathspace" /><mml:mspace width="thickmathspace" /><mml:mi>s</mml:mi><mml:mo>&#x2208;</mml:mo><mml:mi>S</mml:mi></mml:math>
</inline-formula></p>
</sec>
</sec>
<sec id="s2_4">
<label>2.4</label>
<title>Scenario Analysis</title>
<p>The scenario analysis, as shown in <xref ref-type="table" rid="table-9">Tab. 9</xref>, was designed to explore the impacts of variations in plant capacity and CLT market demanding levels on the economic performance of producing CLT. The impacts of variations in other process parameters were explored by Monte Carlo simulation [<xref ref-type="bibr" rid="ref-48">48</xref>]. In this study, Monte Carlo simulation was performed for 1,000 iterations in each scenario using the probability density functions of parameters as shown in <xref ref-type="table" rid="table-1">Tabs. 1</xref>, <xref ref-type="table" rid="table-3">3</xref>, and <xref ref-type="table" rid="table-6">6</xref>.</p>
<table-wrap id="table-9"><label>Table 9</label>
<caption>
<title>Scenario analysis</title></caption>
<table>
<colgroup>
<col align="left"/>
<col align="left"/>
<col align="left"/>
</colgroup>
<thead>
<tr>
<th align="left"/>
<th align="left">Plant capacity (1,000 m<sup>3</sup> CLT/year)</th>
<th align="left">CLT demanding level</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left">Scenario 1&#x2013;7</td>
<td align="left" rowspan="3">30, 50, 70, 90, 110, 130, 150</td>
<td align="left">1&#x0025;</td>
</tr>
<tr>
<td align="left">Scenario 8&#x2013;14</td>
<td align="left">5&#x0025;</td>
</tr>
<tr>
<td align="left">Scenario 15&#x2013;21</td>
<td align="left">15&#x0025;</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
</sec>
<sec id="s3">
<label>3</label>
<title>Results and Discussion</title>
<p><xref ref-type="fig" rid="fig-3">Fig. 3</xref> exhibits the installed costs in each area, other direct cost, and indirect cost at varied plant capacities (30,000&#x2013;150,000 m<sup>3</sup>/year). The error bars represent the 5<sup>th</sup>&#x2013;95<sup>th</sup> percentile value range (P5&#x2013;P95) of total capital investment from the Monte Carlo simulation. For varied plant capacities, increasing the capacity from 30,000 to 150,000 m<sup>3</sup>/year only raises the capital cost by 203&#x0025;. Thus, increasing the plant capacity can lead to lower capital cost on a per cubic meter CLT basis. This further leads to the main driver of the decreasing MSP of CLT when increasing plant capacities (see <xref ref-type="fig" rid="fig-4">Fig. 4</xref>). Among the installed costs of the equipment, layering and gluing (17&#x0025; of the total capital investment), finishing (15&#x0025; of the total capital investment), miscellaneous (9&#x0025;&#x2013;10&#x0025; of the total capital investment) are the major components. The other three areas account for less than 5&#x0025; of the total capital investment. Besides the installed costs of equipment, the other direct cost (9&#x0025; of the total capital investment) and indirect cost (38&#x0025; of the total capital investment) contribute significantly to the capital investment. In this study, the variations in the equipment costs lead the total capital investment to vary 10&#x0025; by P5&#x2013;P95. Though the result range is smaller than the uncertainty range of equipment cost (&#x00B1;30&#x0025;), the uncertainty in capital investment needs to be considered in implementing the CLT plant.</p>
<fig id="fig-3">
<label>Figure 3</label>
<caption>
<title>Capital investment of the CLT plant under varied capacities</title></caption>
<graphic mimetype="image" mime-subtype="png" xlink:href="JRM_17506-fig-3.png"/>
</fig>
<fig id="fig-4">
<label>Figure 4</label>
<caption>
<title>Operating cost of the CLT plant under varied capacities</title></caption>
<graphic mimetype="image" mime-subtype="png" xlink:href="JRM_17506-fig-4.png"/>
</fig>
<p><xref ref-type="fig" rid="fig-4">Fig. 4</xref> shows the operating cost of producing 1 m<sup>3</sup> CLT under varied capacities which consists of variable and fixed operating cost. The error bars represent the P5&#x2013;P95 value range. Since the variable operating cost depends on 1 m<sup>3</sup> product basis, the variable operating cost does not change with varied plant capacities. Among the variable operating costs, the lumber cost is the dominant part accounting for 85&#x0025; of the total variable operating cost and 47&#x0025;&#x2013;68&#x0025; of the total operating cost. The other material costs and energy costs are minor (less than 8&#x0025; of the total operating cost). Hence, the lumber price can be a key factor that determines the total operating cost. On the other hand, the fixed operating cost, including labor cost and other fixed cost (maintenance, insurance and taxes), decreases along with the increased plant capacity. From 30,000 to 150,000 m<sup>3</sup>/year, the labor cost reduces from &#x0024;148.0 to &#x0024;37.8 per m<sup>3</sup> CLT produced, and accounts for over 69&#x0025; of the fixed operating cost. Hence, increasing the plant capacity can lead to the reduction of operating cost, which is a similar trend with the capital cost.</p>
<p><xref ref-type="fig" rid="fig-5">Fig. 5</xref> shows the MSP of CLT at varied plant capacities. The box stands for the P5&#x2013;P95 value range of the Monte Carlo simulation results with tails representing the minimum and maximum results. The overall MSP of CLT panels ranges from &#x0024;345 to &#x0024;609/m<sup>3</sup> across all the capacity cases. Expanding the CLT plant capacity can significantly reduce the MSP of the CLT panels. For example, the median value of MSP at 30,000 m<sup>3</sup>/year is &#x0024;571/m<sup>3</sup> (&#x0024;534&#x2013;&#x0024;609/m<sup>3</sup> P5&#x2013;P95), compared to the median value &#x0024;376/m<sup>3</sup> (&#x0024;345&#x2013;&#x0024;410/m<sup>3</sup> P5&#x2013;P95) at 150,000 m<sup>3</sup>/year. This phenomenon is mainly driven by the reduction of capital cost and labor cost when the capacity is increased as mentioned above (see <xref ref-type="fig" rid="fig-3">Figs. 3</xref> and <xref ref-type="fig" rid="fig-4">4</xref>). The results presented in this study stay aligned with the literature data, approximately &#x0024;536&#x2013;&#x0024;900/m<sup>3</sup> [<xref ref-type="bibr" rid="ref-4">4</xref>,<xref ref-type="bibr" rid="ref-11">11</xref>,<xref ref-type="bibr" rid="ref-41">41</xref>]. The difference can be caused by varied wood type, lumber cost, labor employment, and plant location and capacity [<xref ref-type="bibr" rid="ref-4">4</xref>,<xref ref-type="bibr" rid="ref-11">11</xref>,<xref ref-type="bibr" rid="ref-41">41</xref>]. The uncertainties and variabilities from the manufacturing parameters, equipment cost, and operating cost, lead to the results varying by 6&#x0025;&#x2013;9&#x0025; (based on P5 and P95).</p>
<fig id="fig-5">
<label>Figure 5</label>
<caption>
<title>The minimum selling price of CLT at varied plant capacities</title></caption>
<graphic mimetype="image" mime-subtype="png" xlink:href="JRM_17506-fig-5.png"/>
</fig>
<p><xref ref-type="fig" rid="fig-6">Fig. 6</xref> shows the delivered cost of CLT panels at varied plant capacities and demanding levels, with error bars showing the range of P5&#x2013;P95. In <xref ref-type="fig" rid="fig-6">Fig. 6</xref>, the delivered cost consists of MSP (solid bars) and transportation cost (pattern filled bars) at three demanding levels, namely 1&#x0025; (orange bars), 5&#x0025; (blue bars), and 15&#x0025; (grey bars). First, compared to the MSP, the transportation cost of delivering the CLT panels is much smaller, accounting for 1&#x0025;&#x2013;8&#x0025; of the delivered cost across all the cases. Second, the transportation cost increases as the demanding level decreases or the plant capacity increases. This is due to the decreased demanding level or increased plant capacity leads to longer transportation distances to deliver the CLT panels. For example, for a 150,000 m<sup>3</sup>/year plant, the transportation cost is &#x0024;33/m<sup>3</sup> for 1&#x0025;, &#x0024;15/m<sup>3</sup> for 5&#x0025;, and &#x0024;10/m<sup>3</sup> for 15&#x0025; demanding level. For 1&#x0025; demanding level, increasing the capacity from 30,000 to 150,000 m<sup>3</sup>/year raises the transportation cost from &#x0024;15 to &#x0024;33/m<sup>3</sup>. Third, when considering varied demanding levels, larger plant capacity does not necessarily generate lower delivered cost. For example, the delivered cost at 150,000 m<sup>3</sup>/year with 1&#x0025; demanding level (&#x0024;410/m<sup>3</sup> mean value) is &#x0024;23 higher than 130,000 m<sup>3</sup>/year with 15&#x0025; demanding level. Hence, the results show the necessity of considering the potential demanding conditions in implanting CLT plants.</p>
<fig id="fig-6">
<label>Figure 6</label>
<caption>
<title>The delivered cost of CLT at varied plant capacities and demanding levels</title></caption>
<graphic mimetype="image" mime-subtype="png" xlink:href="JRM_17506-fig-6.png"/>
</fig>
<p>To further identify the key drivers of the economic feasibility for CLT panels, this study conducted a sensitivity analysis. The baseline was chosen as the 110,000 m<sup>3</sup>/year plant as shown in <xref ref-type="fig" rid="fig-7">Fig. 7</xref>. In the sensitivity analysis, the parameters can be categorized into three groups, manufacturing parameters, operating cost parameters, and capital cost parameters. Among manufacturing parameters, the plant capacity and the lumber preparing loss are the key driving factors that affect the MSP. A potential increase in the preparing loss (due to trimmed defects or lumber below the quality requirement) from 7&#x0025; to 14&#x0025; can lead to a &#x0024;19/m<sup>3</sup> increase in MSP. Lumber price, the largest portion of operating costs (see <xref ref-type="fig" rid="fig-4">Fig. 4</xref>), is another key driver for the MSP. Hence, lowering the feedstock cost, choosing qualified feedstock, and reducing the loss in lumber preparation can be potentially effective strategies to reach lower MSP. For the capital costs, the installed costs of layering and gluing, finishing, miscellaneous are among the top ones that affect the MSP, which stays aligned with the results shown in <xref ref-type="fig" rid="fig-3">Fig. 3</xref>.</p>
<fig id="fig-7">
<label>Figure 7</label>
<caption>
<title>Sensitivity analysis results of MSP (baseline selected as the 110,000 m<sup>3</sup>/year plant)</title></caption>
<graphic mimetype="image" mime-subtype="png" xlink:href="JRM_17506-fig-7.png"/>
</fig>
</sec>
<sec id="s4">
<label>4</label>
<title>Conclusions</title>
<p>This study explores the economic performance of producing CLT from softwood lumber in the Southern U.S. and considers the effects of variations in plant capacities, key manufacturing parameters, material and energy cost on MSP of CLT panels. The overall MSP ranges from &#x0024;345 to &#x0024;609/m<sup>3</sup> across all the capacity cases from 30,000 to 150,000 m<sup>3</sup>/year. Enlarging the CLT plant capacity can significantly reduce the MSP due to the reduced capital cost and fixed operating cost per m<sup>3</sup> CLT. The effects of variations in the feedstock, key manufacturing parameters, capital and operating cost, can cause a &#x00B1;6&#x0025;&#x2013;9&#x0025; range (P5&#x2013;P95 value) in the MSP. This study also studies the transportation cost of delivering CLT from the plant to consumers supported by GIS. Three CLT demanding levels were included, 1&#x0025;, 5&#x0025;, and 15&#x0025;. This study concludes that the transportation cost of delivering the CLT panels is much smaller (1&#x0025;&#x2013;8&#x0025;) compared to the MSP. The transportation cost increases as the demanding level decreases or the plant capacity increases due to average longer delivering distances. Thus, when considering varied demanding levels, larger plant capacity does not necessarily generate lower delivered cost that consists of MSP and transportation cost. To identify the key drivers of the economic feasibility, this study performances a sensitivity analysis and shows that the lumber price, lumber preparing loss, plant capacity, and the installed costs of layering and gluing, finishing, and miscellaneous, are the top driving factors. This conclusion also exhibits the further direction of lowering the production cost of CLT panels.</p>
</sec>
</body>
<back>
<ack>
<p>The authors thank the support from North Carolina State University.</p>
</ack><fn-group>
<fn fn-type="other">
<p><bold>Funding Statement:</bold> The authors received no specific funding for this study.</p>
</fn>
<fn fn-type="conflict">
<p><bold>Conflicts of Interest:</bold> The authors declare that they have no conflicts of interest to report regarding the present study.</p>
</fn>
</fn-group>
<ref-list content-type="authoryear">
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<app-group id="appg1">
<app id="app1">
<title>Appendix A. Supplementary tables</title>
<sec><title/>
<table-wrap id="table-10"><label>Table S1</label>
<caption>
<title>Equipment list and cost (2018&#x0024;) of a CLT plant at 30,000 m<sup>3</sup>/year [<xref ref-type="bibr" rid="ref-41">41</xref>,<xref ref-type="bibr" rid="ref-45">45</xref>,<xref ref-type="bibr" rid="ref-63">63</xref>&#x2013;<xref ref-type="bibr" rid="ref-65">65</xref>]</title></caption>
<table>
<colgroup>
<col align="left"/>
<col align="left"/>
<col align="left"/>
<col align="left"/>
</colgroup>
<thead>
<tr>
<th align="left">Equipment list</th>
<th align="left">Scaling factor</th>
<th align="left">Purchased cost</th>
<th align="left">Installed cost</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" colspan="4"><italic>Handling and preparation</italic></td>
</tr>
<tr>
<td align="left">Forklift</td>
<td align="left">0.70</td>
<td align="left">&#x0024;34,396</td>
<td align="left">&#x0024;34,396</td>
</tr>
<tr>
<td align="left">Lumber feeding system</td>
<td align="left">0.70</td>
<td align="left">&#x0024;181,385</td>
<td align="left">&#x0024;290,216</td>
</tr>
<tr>
<td align="left">Lumber moisture meter</td>
<td align="left">0.70</td>
<td align="left">&#x0024;30,796</td>
<td align="left">&#x0024;49,273</td>
</tr>
<tr>
<td align="left">Lumber scanner</td>
<td align="left">0.70</td>
<td align="left">&#x0024;342,236</td>
<td align="left">&#x0024;547,578</td>
</tr>
<tr>
<td align="left">Lumber grading station</td>
<td align="left">0.70</td>
<td align="left">&#x0024;284,056</td>
<td align="left">&#x0024;454,490</td>
</tr>
<tr>
<td align="left">Trim saw</td>
<td align="left">1.00</td>
<td align="left">&#x0024;60,274</td>
<td align="left">&#x0024;96,439</td>
</tr>
<tr>
<td align="left">Conveyors</td>
<td align="left">0.70</td>
<td align="left">&#x0024;51,335</td>
<td align="left">&#x0024;82,137</td>
</tr>
<tr>
<td align="left">Subtotal</td>
<td align="left"/>
<td align="left">&#x0024;984,479</td>
<td align="left">&#x0024;1,554,528</td>
</tr>
<tr>
<td align="left" colspan="4"><italic>End jointing</italic></td>
</tr>
<tr>
<td align="left">Block storage feeding</td>
<td align="left">0.70</td>
<td align="left">&#x0024;181,385</td>
<td align="left">&#x0024;290,216</td>
</tr>
<tr>
<td align="left">Finger jointing system</td>
<td align="left">0.70</td>
<td align="left">&#x0024;867,472</td>
<td align="left">&#x0024;1,387,955</td>
</tr>
<tr>
<td align="left">Conveyors</td>
<td align="left">0.70</td>
<td align="left">&#x0024;51,335</td>
<td align="left">&#x0024;82,137</td>
</tr>
<tr>
<td align="left">Subtotal</td>
<td align="left"/>
<td align="left">&#x0024;1,100,192</td>
<td align="left">&#x0024;1,760,308</td>
</tr>
<tr>
<td align="left" colspan="4"><italic>Layering and gluing</italic></td>
</tr>
<tr>
<td align="left">Edge gluing layering pressing</td>
<td align="left">0.70</td>
<td align="left">&#x0024;3,272,463</td>
<td align="left">&#x0024;5,235,941</td>
</tr>
<tr>
<td align="left">Glue spreader</td>
<td align="left">0.70</td>
<td align="left">&#x0024;532,520</td>
<td align="left">&#x0024;852,031</td>
</tr>
<tr>
<td align="left">Conveyors</td>
<td align="left">0.70</td>
<td align="left">&#x0024;51,335</td>
<td align="left">&#x0024;82,137</td>
</tr>
<tr>
<td align="left">Subtotal</td>
<td align="left"/>
<td align="left">&#x0024;3,856,318</td>
<td align="left">&#x0024;6,170,109</td>
</tr>
<tr>
<td align="left" colspan="4"><italic>Pressing</italic></td>
</tr>
<tr>
<td align="left">Panel pressing machine</td>
<td align="left">0.7</td>
<td align="left">&#x0024;675,980</td>
<td align="left">&#x0024;1,081,568</td>
</tr>
<tr>
<td align="left">Subtotal</td>
<td align="left"/>
<td align="left">&#x0024;675,980</td>
<td align="left">&#x0024;1,081,568</td>
</tr>
<tr>
<td align="left" colspan="4"><italic>Finishing</italic></td>
</tr>
<tr>
<td align="left">Planer</td>
<td align="left">0.70</td>
<td align="left">&#x0024;698,162</td>
<td align="left">&#x0024;1,117,059</td>
</tr>
<tr>
<td align="left">Trimming machine</td>
<td align="left">0.70</td>
<td align="left">&#x0024;282,543</td>
<td align="left">&#x0024;452,069</td>
</tr>
<tr>
<td align="left">CNC system</td>
<td align="left">0.7</td>
<td align="left">&#x0024;2,311,464</td>
<td align="left">&#x0024;3,698,342</td>
</tr>
<tr>
<td align="left">Subtotal</td>
<td align="left"/>
<td align="left">&#x0024;3,292,169</td>
<td align="left">&#x0024;5,267,470</td>
</tr>
<tr>
<td align="left" colspan="4"><italic>Miscellaneous</italic></td>
</tr>
<tr>
<td align="left">Dust collecting system</td>
<td align="left">0.60</td>
<td align="left">&#x0024;323,448</td>
<td align="left">&#x0024;549,862</td>
</tr>
<tr>
<td align="left">Packing system</td>
<td align="left">0.70</td>
<td align="left">&#x0024;136,894</td>
<td align="left">&#x0024;219,031</td>
</tr>
<tr>
<td align="left">Accumulator, feeder, conveyor</td>
<td align="left">0.70</td>
<td align="left">&#x0024;1,752,250</td>
<td align="left">&#x0024;2,803,599</td>
</tr>
<tr>
<td align="left">Subtotal</td>
<td align="left"/>
<td align="left">&#x0024;2,212,592</td>
<td align="left">&#x0024;3,572,493</td>
</tr>
<tr>
<td align="left" colspan="4"/>
</tr>
<tr>
<td align="left">Total</td>
<td align="left"/>
<td align="left">&#x0024;12,121,730</td>
<td align="left">&#x0024;19,406,475</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec></app><app id="app2">
<title>Appendix B. Supplementary figures</title>
<sec><title/>
<fig id="fig-8">
<label>Figure S1</label>
<caption>
<title>County-level CLT demanding results at 5&#x0025; demanding level in the southern U.S.</title></caption>
<graphic mimetype="image" mime-subtype="png" xlink:href="JRM_17506-fig-8.png"/>
</fig>
<fig id="fig-9">
<label>Figure S2</label>
<caption>
<title>County-level CLT demanding results at 15&#x0025; demanding level in the southern U.S.</title></caption>
<graphic mimetype="image" mime-subtype="png" xlink:href="JRM_17506-fig-9.png"/>
</fig>
<fig id="fig-10">
<label>Figure S3</label>
<caption>
<title>County-level route analysis of transportation in the southern U.S.</title></caption>
<graphic mimetype="image" mime-subtype="png" xlink:href="JRM_17506-fig-10.png"/>
</fig>
</sec></app></app-group>
</back>
</article>