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<journal-id journal-id-type="publisher-id">Front. For. Glob. Change</journal-id>
<journal-title>Frontiers in Forests and Global Change</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. For. Glob. Change</abbrev-journal-title>
<issn pub-type="epub">2624-893X</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
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<article-meta>
<article-id pub-id-type="doi">10.3389/ffgc.2023.1259010</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Forests and Global Change</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Modeling climate-smart forest management and wood use for climate mitigation potential in Maryland and Pennsylvania</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Papa</surname>
<given-names>Chad C.</given-names>
</name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
<xref ref-type="corresp" rid="c001"><sup>&#x002A;</sup></xref>
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<name>
<surname>DeLyser</surname>
<given-names>Kendall</given-names>
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<contrib contrib-type="author">
<name>
<surname>Clay</surname>
<given-names>Kylie</given-names>
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<contrib contrib-type="author">
<name>
<surname>Gadoth-Goodman</surname>
<given-names>Daphna</given-names>
</name>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
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<contrib contrib-type="author">
<name>
<surname>Cooper</surname>
<given-names>Lauren</given-names>
</name>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
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<name>
<surname>Kurz</surname>
<given-names>Werner A.</given-names>
</name>
<xref ref-type="aff" rid="aff4"><sup>4</sup></xref>
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<contrib contrib-type="author">
<name>
<surname>Magnan</surname>
<given-names>Michael</given-names>
</name>
<xref ref-type="aff" rid="aff4"><sup>4</sup></xref>
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<name>
<surname>Ontl</surname>
<given-names>Todd</given-names>
</name>
<xref ref-type="aff" rid="aff5"><sup>5</sup></xref>
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<aff id="aff1"><sup>1</sup><institution>Department of Forestry, Michigan State University</institution>, <addr-line>East Lansing, MI</addr-line>, <country>United States</country></aff>
<aff id="aff2"><sup>2</sup><institution>Forest Carbon and Climate Program, Department of Forestry Michigan State University</institution>, <addr-line>East Lansing, MI</addr-line>, <country>United States</country></aff>
<aff id="aff3"><sup>3</sup><institution>American Forests</institution>, <addr-line>Washington, DC</addr-line>, <country>United States</country></aff>
<aff id="aff4"><sup>4</sup><institution>Natural Resources Canada, Canadian Forest Service</institution>, <addr-line>Victoria, BC</addr-line>, <country>Canada</country></aff>
<aff id="aff5"><sup>5</sup><institution>Office of Sustainability and Climate, U.S. Forest Service</institution>, <addr-line>Washington, DC</addr-line>, <country>United States</country></aff>
<author-notes>
<fn fn-type="edited-by" id="fn0001">
<p>Edited by: Mohammad Ibrahim Khalil, University College Dublin, Ireland</p>
</fn>
<fn fn-type="edited-by" id="fn0002">
<p>Reviewed by: David Ellison, University of Bern, Switzerland; Emil Cienciala, Institute of Forest Ecosystem Research, Czechia</p>
</fn>
<corresp id="c001">&#x002A;Correspondence: Chad C. Papa, <email>papachad@msu.edu</email></corresp>
<corresp id="c002">Kendall DeLyser, <email>kdelyser@americanforests.org</email></corresp>
</author-notes>
<pub-date pub-type="epub">
<day>07</day>
<month>11</month>
<year>2023</year>
</pub-date>
<pub-date pub-type="collection">
<year>2023</year>
</pub-date>
<volume>6</volume>
<elocation-id>1259010</elocation-id>
<history>
<date date-type="received">
<day>14</day>
<month>07</month>
<year>2023</year>
</date>
<date date-type="accepted">
<day>16</day>
<month>10</month>
<year>2023</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#x00A9; 2023 Papa, DeLyser, Clay, Gadoth-Goodman, Cooper, Kurz, Magnan and Ontl.</copyright-statement>
<copyright-year>2023</copyright-year>
<copyright-holder>Papa, DeLyser, Clay, Gadoth-Goodman, Cooper, Kurz, Magnan and Ontl</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>State and local governments are increasingly interested in understanding the role forests and harvested wood products play in regional carbon sinks and storage, their potential contributions to state-level greenhouse gas (GHG) reductions, and the interactions between GHG reduction goals and potential economic opportunities. We used empirically driven process-based forest carbon dynamics and harvested wood product models in a systems-based approach to project the carbon impacts of various forest management and wood utilization activities in Maryland and Pennsylvania from 2007 to 2100. To quantify state-wide forest carbon dynamics, we integrated forest inventory data, harvest and management activity data, and remotely-sensed metrics of land-use change and natural forest disturbances within a participatory modeling approach. We accounted for net GHG emissions across (1) forest ecosystems (2) harvested wood products, (3) substitution benefits from wood product utilization, and (4) leakage associated with reduced in-state harvesting activities. Based on state agency partner input, a total of 15 management scenarios were modeled for Maryland and 13 for Pennsylvania, along with two climate change impact scenarios and two bioenergy scenarios for each state. Our findings show that both strategic forest management and wood utilization can provide substantial climate change mitigation potential relative to business-as-usual practices, increasing the forest C sink by 29% in Maryland and 38% in Pennsylvania by 2030 without disrupting timber supplies. Key climate-smart forest management activities include maintaining and increasing forest extent, fostering forest resiliency and natural regeneration, encouraging sustainable harvest practices, balancing timber supply and wood utilization with tree growth, and preparing for future climate impacts. This study adds to a growing body of work that quantifies the relationships between forest growth, forest disturbance, and harvested wood product utilization, along with their collective influence on carbon stocks and fluxes, to identify pathways to enhance forest carbon sinks in support of state-level net-zero emission targets.</p>
</abstract>
<kwd-group>
<kwd>climate change mitigation</kwd>
<kwd>carbon cycling</kwd>
<kwd>forest carbon</kwd>
<kwd>climate-smart forestry</kwd>
<kwd>harvested wood products</kwd>
<kwd>greenhouse gas emissions</kwd>
<kwd>CBM-CFS3</kwd>
</kwd-group>
<counts>
<fig-count count="8"/>
<table-count count="5"/>
<equation-count count="1"/>
<ref-count count="202"/>
<page-count count="25"/>
<word-count count="21270"/>
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<custom-meta-wrap>
<custom-meta>
<meta-name>section-at-acceptance</meta-name>
<meta-value>Forests and the Atmosphere</meta-value>
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</front>
<body>
<sec sec-type="intro" id="sec1">
<label>1.</label>
<title>Introduction</title>
<p>Forests influence the earth&#x2019;s climate system through complex and non-linear interactions by affecting the global carbon (C) cycle, hydrologic cycle, and energy balance (<xref ref-type="bibr" rid="ref17">Bonan, 2008</xref>). To meet current climate goals, all sectors require greenhouse gas (GHG) emissions reductions and mitigation actions (<xref ref-type="bibr" rid="ref81">IPCC, 2021</xref>); forests and the forest products sector provide the unique opportunity to not only help humans and society adapt to a changing climate but slow the rate of climate change by reducing or offsetting GHG emissions (<xref ref-type="bibr" rid="ref168">Smith et al., 2014</xref>). The forestry sector and its associated forest products sector provide a cost-effective pathway to both store and sequester a substantial amount of carbon, thereby contributing to global net zero emissions goals (<xref ref-type="bibr" rid="ref69">Griscom et al., 2017</xref>). Previous studies have estimated that forests in the United States offset approximately 14% of annual CO<sub>2</sub> emissions and 11% for all GHG emissions (<xref ref-type="bibr" rid="ref167">Skog, 2008</xref>; <xref ref-type="bibr" rid="ref45">Domke et al., 2021</xref>) with significant potential for increased carbon storage and sequestration through climate-focused forest management (<xref ref-type="bibr" rid="ref59">Fargione et al., 2018</xref>; <xref ref-type="bibr" rid="ref126">Ontl et al., 2020</xref>; <xref ref-type="bibr" rid="ref84">Kaarakka et al., 2021</xref>). Efforts to ensure forests in the US continue to be a net C sink relies on understanding the intersections of policy, forest and forest sector emissions, and forest management.</p>
<p>The United States has committed to a 50%&#x2013;52% reduction in GHG emissions from 2005 levels by the year 2030 (<xref ref-type="bibr" rid="ref180">UNFCCC, 2021</xref>). To meet this target, flexible and increasingly innovative forest management practices that support continued provisioning of essential ecosystem services and optimization of forests&#x2019; GHG mitigation potential may be valuable (<xref ref-type="bibr" rid="ref113">Millar et al., 2007</xref>). In addition to federal actions, state and local governments have begun to enact policies that aim to curb GHG emissions (<xref ref-type="bibr" rid="ref64">Fuhr et al., 2018</xref>). For example, the Greenhouse Gas Reduction Act (GGRA) in Maryland is an economy-wide plan that identifies reduction targets across various sectors or, in the case of forests, sequestration targets to cut annual net GHG emissions (<xref ref-type="bibr" rid="ref108">MDE, 2021</xref>). Adopted in 2009 and amended in 2016, this legislation acknowledges the severe threat posed by climate change and outlines specific actions the forestry sector and its associated forest product sector can take to lower net GHG emissions. The GGRA recognizes the critical role forests play in mitigating climate change through carbon sequestration and storage, as well as their ability to help disadvantaged communities adapt to the negative effects of climate change, such as utilizing participatory mechanisms to protect biodiversity while addressing poverty and inequality (<xref ref-type="bibr" rid="ref111">Menton et al., 2020</xref>). Likewise, Pennsylvania has adopted the Pennsylvania Climate Action Plan 2021 which outlines a pathway to an 80% reduction in GHG by 2050 from 2005 levels. The plan identifies 18 strategies, time frames for implementation, economic costs and benefits, and specific adaptation pathways (<xref ref-type="bibr" rid="ref130">PDEP, 2021</xref>).</p>
<p>Efforts to monitor progress toward established goals rely on sound quantification of forest and forest sector emissions. Modeling complex ecosystem processes such as the C cycle at a landscape scale involves addressing interactions across spatial, temporal, and ecological scales (<xref ref-type="bibr" rid="ref66">Geary et al., 2020</xref>). Primarily driven by land-based pools and fluxes, forest carbon flows between the atmospheric, terrestrial, and forest product carbon pools (<xref ref-type="fig" rid="fig1">Figure 1</xref>). To properly evaluate and account for climate change mitigation potential within forests and the forestry sector at large, a systems-based approach can help to analyze trade-offs and synergies (<xref ref-type="bibr" rid="ref119">Nabuurs et al., 2007</xref>), as it enables understanding of interdependent systems and potential feedbacks, such as the forest ecosystem and forest products sector, concurrently (<xref ref-type="bibr" rid="ref56">Evans et al., 2012</xref>) including trade-offs between the forest ecosystem, land-use change (LUC), harvested wood products, wood substitution benefits, and leakage associated with changes in harvest levels (<xref ref-type="bibr" rid="ref104">Malmsheimer et al., 2008</xref>; <xref ref-type="bibr" rid="ref167">Skog, 2008</xref>; <xref ref-type="bibr" rid="ref39">D&#x2019;Amato et al., 2011</xref>; <xref ref-type="bibr" rid="ref168">Smith et al., 2014</xref>; <xref ref-type="bibr" rid="ref188">Verkerk et al., 2020</xref>). Solely analyzing the impacts of specific management practices on carbon stocks within forests does not entirely account for total carbon storage as harvested wood can store carbon for decades as long-lived wood products (<xref ref-type="bibr" rid="ref107">McKinley et al., 2011</xref>). To fully evaluate the mitigation potential of harvested wood products (HWPs), mill efficiencies, product half-lives, recycling rates, leakage, and substitution benefits should be accounted for (<xref ref-type="bibr" rid="ref104">Malmsheimer et al., 2008</xref>; <xref ref-type="bibr" rid="ref107">McKinley et al., 2011</xref>). Linkages to other sectors (e.g., energy and construction) at landscape or regional scales add additional insight into carbon stocks and fluxes by more reliably capturing, among other things, future product demand and fossil fuel emissions from competing sectors (<xref ref-type="bibr" rid="ref104">Malmsheimer et al., 2008</xref>; <xref ref-type="bibr" rid="ref90">Kurz et al., 2016</xref>). The management of multi-functional landscapes such as forests is further complicated when incorporating the financial or governance constraints of implementation (<xref ref-type="bibr" rid="ref158">Seddon et al., 2020</xref>). Together, these environmental, economic, and political dynamics provide both opportunities and challenges for policy makers as they seek to address the impacts of forest management, forest dynamics, land-use change, and the forest products sector at varying scales (<xref ref-type="bibr" rid="ref39">D&#x2019;Amato et al., 2011</xref>; <xref ref-type="bibr" rid="ref158">Seddon et al., 2020</xref>).</p>
<fig position="float" id="fig1">
<label>Figure 1</label>
<caption>
<p>Systems-based framework for the forest carbon cycle with associated forest product sector (Adapted from: <xref ref-type="bibr" rid="ref001">Heath et al., 2003</xref>).</p>
</caption>
<graphic xlink:href="ffgc-06-1259010-g001.tif"/>
</fig>
<p>Further complicating forest C balances is the interaction of both natural disturbances and human management activities such as harvesting or land-use change (<xref ref-type="bibr" rid="ref12">Bellassen and Luyssaert, 2014</xref>). Interactions among harvesting levels, rate of forest recovery following disturbance, and age-dependent forest productivity are well-documented drivers of forest C sink-source strength as well as interannual C fluxes (<xref ref-type="bibr" rid="ref154">Ryan et al., 1997</xref>; <xref ref-type="bibr" rid="ref68">Gough et al., 2008</xref>; <xref ref-type="bibr" rid="ref131">Peichl et al., 2010</xref>, <xref ref-type="bibr" rid="ref132">2022</xref>; <xref ref-type="bibr" rid="ref37">Coursolle et al., 2012</xref>). Therefore, it is critical to understand the relationship between forest C dynamics across a heterogenous spatial mosaic of forest management activities (<xref ref-type="bibr" rid="ref189">Vestin et al., 2020</xref>), forest recovery and successional patches (<xref ref-type="bibr" rid="ref38">Curtis and Gough, 2018</xref>), and landscape variability (<xref ref-type="bibr" rid="ref132">Peichl et al., 2022</xref>) to properly assess climate mitigation potential of forests. Doing so allows for furthered understanding of the possible future forest C sink-source strength, providing pivotal information to both forest managers and policy makers about the role management activities may have on forest age-class structures and therefore on forest C trajectories.</p>
<p>To successfully apply carbon science to meet legislative goals at broad scales, effective climate change mitigation strategies balance the maintenance or optimization of both carbon storage and sequestration while acknowledging trade-offs with ecological complexity and health (<xref ref-type="bibr" rid="ref20">Bradford and D&#x2019;Amato, 2012</xref>; <xref ref-type="bibr" rid="ref192">Watson et al., 2018</xref>; <xref ref-type="bibr" rid="ref152">Rogers et al., 2022</xref>). Climate-Smart Forestry (CSF) is a targeted, long-term strategy to enhance the climate benefits from forests and the forest products sector while providing sustainable resources for a growing human population (<xref ref-type="bibr" rid="ref120">Nabuurs et al., 2018</xref>; <xref ref-type="bibr" rid="ref19">Bowditch et al., 2020</xref>; <xref ref-type="bibr" rid="ref36">Cooper and MacFarlane, 2023</xref>). CSF emphasizes, in part, the management of forests to continuously deliver a sustainable wood supply in both the short- and long-term without impeding the integrity and function of the forest (<xref ref-type="bibr" rid="ref19">Bowditch et al., 2020</xref>) which can be achieved through optimizing both the age-structure and diameter distribution of forests at the landscape level (<xref ref-type="bibr" rid="ref13">Bergeron et al., 2017</xref>) and other adaptive practices (<xref ref-type="bibr" rid="ref19">Bowditch et al., 2020</xref>). Typically, when looking at the relationship between C storage and sequestration at landscape to stand scales, there is an inverse relationship between forest age and rates of C sequestration (<xref ref-type="bibr" rid="ref124">Odum, 1969</xref>; <xref ref-type="bibr" rid="ref29">Chapin et al., 2011</xref>; <xref ref-type="bibr" rid="ref177">Stephenson et al., 2014</xref>; <xref ref-type="bibr" rid="ref38">Curtis and Gough, 2018</xref>). Despite contrasting evidence regarding variations in forest C balances, or the difference between ecosystem C uptake and loss, forest age continually acts strongly as a predictor of forest growth regardless of initial stand characteristics such as soil fertility or hydrologic regimes (<xref ref-type="bibr" rid="ref14">Besnard et al., 2018</xref>). Both empirical and mechanistic approaches show that following stand establishment, forest stands begin to act as a carbon sink within the first 10&#x2013;20&#x2009;years. However, stands do not begin to maximize mean annual increment (MAI), or the average growth in volume per year, until between 30 and 70 years in temperate eastern forests (<xref ref-type="bibr" rid="ref35">Coomes et al., 2012</xref>; <xref ref-type="bibr" rid="ref37">Coursolle et al., 2012</xref>; <xref ref-type="bibr" rid="ref132">Peichl et al., 2022</xref>). However, MAI diminishes rapidly as forests continue to age toward later seral stages (&#x003E;120&#x2009;years) predominantly driven by increases in stand-level competition and mortality (<xref ref-type="bibr" rid="ref154">Ryan et al., 1997</xref>; <xref ref-type="bibr" rid="ref15">Binkley et al., 2002</xref>; <xref ref-type="bibr" rid="ref35">Coomes et al., 2012</xref>; <xref ref-type="bibr" rid="ref30">Chen and Luo, 2015</xref>; <xref ref-type="bibr" rid="ref199">Yuan et al., 2019</xref>). While the strength of forest C sinks in older temperate forests (i.e., &#x003E;120&#x2009;years) remains inconclusive (<xref ref-type="bibr" rid="ref37">Coursolle et al., 2012</xref>; <xref ref-type="bibr" rid="ref30">Chen and Luo, 2015</xref>; <xref ref-type="bibr" rid="ref38">Curtis and Gough, 2018</xref>; <xref ref-type="bibr" rid="ref199">Yuan et al., 2019</xref>; <xref ref-type="bibr" rid="ref70">Gundersen et al., 2021</xref>), older forests can store large amounts of carbon in both biomass and coarse woody debris, absent some level of major disturbance (<xref ref-type="bibr" rid="ref43">Dixon et al., 1994</xref>; <xref ref-type="bibr" rid="ref106">McGarvey et al., 2015</xref>). Additionally, older forest stands tend to maximize structural complexity, providing significant supporting and regulatory ecosystem services such as habitat creation and biodiversity (<xref ref-type="bibr" rid="ref15">Binkley et al., 2002</xref>; <xref ref-type="bibr" rid="ref57">Fahey et al., 2010</xref>; <xref ref-type="bibr" rid="ref63">Ford and Keeton, 2017</xref>).</p>
<p>This study builds on previous work to understand how forest management and the forest product sector can contribute to achieving climate goals at the landscape scale within a participatory systems-based framework (<xref ref-type="bibr" rid="ref171">Smyth et al., 2014</xref>; <xref ref-type="bibr" rid="ref136">Pilli et al., 2016</xref>; <xref ref-type="bibr" rid="ref125">Olguin et al., 2018</xref>; <xref ref-type="bibr" rid="ref48">Dugan et al., 2018a</xref>, <xref ref-type="bibr" rid="ref49">2021</xref>). The specific objectives of this study are to identify climate-smart forestry practices for Maryland and Pennsylvania by applying forest ecosystem and HWP models to analyze and quantify forest carbon tradeoffs and mitigation potential among a variety of alternative management, climate, and bioenergy scenarios against a projected &#x201C;business-as-usual&#x201D; (BAU) simulation. We do not seek to determine how specific policies can be achieved, but instead seek to quantify the consequences of various scenarios for GHG emissions and removals. We expand upon previous research to understand the interactions between projected forest ecosystem C dynamics, HWPs, and substitution benefits, and leakage to inform policy and management decision-making regarding GHG emission reductions while developing a replicable participatory systems-based approach for future research within the US and elsewhere. Results will increase understanding of the GHG mitigation potential of forest ecosystems and the forest product sectors and can be used by state forestry practitioners and decision makers to prioritize activities and policies that best leverage forests as a solution to climate change.</p>
</sec>
<sec sec-type="method" id="sec2">
<label>2.</label>
<title>Methodologies</title>
<sec id="sec3">
<label>2.1.</label>
<title>Study area</title>
<p>Our study area encompasses all forestlands in Maryland and Pennsylvania. Maryland and Pennsylvania contain an estimated 0.99 and 6.72 million hectares of forestland that corresponds to 36.59% and 57.32% of total land area within each state, respectively (<xref ref-type="bibr" rid="ref183">USDA Forest Service, 2019</xref>). Forestland (defined as land of at least 10% canopy cover by trees of any size and that will be naturally or artificially regenerated, <xref ref-type="bibr" rid="ref26">Burrill et al., 2021</xref>) within both states is predominantly privately owned, with roughly one quarter managed by each state government and minor federal landholdings (<xref ref-type="table" rid="tab1">Table 1</xref>; <xref ref-type="fig" rid="fig2">Figure 2</xref>) including a National Forest covering over 200,000 hectares in Pennsylvania. Hardwood forests dominate both states, especially the oak/forest type group in both states and maple/beech/birch forests in Pennsylvania (<xref ref-type="table" rid="tab2">Table 2</xref>). However, Maryland also contains sizable areas of loblolly/shortleaf pine and oak/pine forests. Descriptions of each forest type group are listed in Appendix D of <xref ref-type="bibr" rid="ref26">Burrill et al. (2021)</xref>.</p>
<table-wrap position="float" id="tab1">
<label>Table 1</label>
<caption>
<p>Percentage of forestland by ownership.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top">Ownership</th>
<th align="center" valign="top">MD (%)</th>
<th align="center" valign="top">PA (%)</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top">USFS</td>
<td align="center" valign="top">--</td>
<td align="center" valign="top">3.06</td>
</tr>
<tr>
<td align="left" valign="top">Other federal</td>
<td align="center" valign="top">2.70</td>
<td align="center" valign="top">0.88</td>
</tr>
<tr>
<td align="left" valign="top">State/local</td>
<td align="center" valign="top">24.34</td>
<td align="center" valign="top">26.85</td>
</tr>
<tr>
<td align="left" valign="top">Private/tribal</td>
<td align="center" valign="top">72.96</td>
<td align="center" valign="top">69.20</td>
</tr>
</tbody>
</table>
</table-wrap>
<fig position="float" id="fig2">
<label>Figure 2</label>
<caption>
<p>Forestland ownership within the study area.</p>
</caption>
<graphic xlink:href="ffgc-06-1259010-g002.tif"/>
</fig>
<table-wrap position="float" id="tab2">
<label>Table 2</label>
<caption>
<p>Percentage of forestland by forest type group.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top">Forest type group</th>
<th align="center" valign="top">MD (%)</th>
<th align="center" valign="top">PA (%)</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top">White/red/jack pine group</td>
<td align="center" valign="top">1.42</td>
<td align="center" valign="top">2.63</td>
</tr>
<tr>
<td align="left" valign="top">Loblolly/shortleaf pine group</td>
<td align="center" valign="top">16.26</td>
<td align="center" valign="top">0.48</td>
</tr>
<tr>
<td align="left" valign="top">Other softwoods group</td>
<td align="center" valign="top">0.58</td>
<td align="center" valign="top">0.35</td>
</tr>
<tr>
<td align="left" valign="top">Oak/pine group</td>
<td align="center" valign="top">7.82</td>
<td align="center" valign="top">1.65</td>
</tr>
<tr>
<td align="left" valign="top">Oak/hickory group</td>
<td align="center" valign="top">59.81</td>
<td align="center" valign="top">53.89</td>
</tr>
<tr>
<td align="left" valign="top">Oak/gum/cypress group</td>
<td align="center" valign="top">4.70</td>
<td align="center" valign="top">0.13</td>
</tr>
<tr>
<td align="left" valign="top">Elm/ash/cottonwood group</td>
<td align="center" valign="top">3.91</td>
<td align="center" valign="top">2.31</td>
</tr>
<tr>
<td align="left" valign="top">Maple/beech/birch group</td>
<td align="center" valign="top">3.75</td>
<td align="center" valign="top">31.43</td>
</tr>
<tr>
<td align="left" valign="top">Aspen/birch group</td>
<td align="center" valign="top">--</td>
<td align="center" valign="top">1.74</td>
</tr>
<tr>
<td align="left" valign="top">Other hardwoods group</td>
<td align="center" valign="top">1.22</td>
<td align="center" valign="top">4.74</td>
</tr>
<tr>
<td align="left" valign="top">Nonstocked</td>
<td align="center" valign="top">0.66</td>
<td align="center" valign="top">0.67</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>Maryland and Pennsylvania have large quantities of aging forests (i.e., reaching their commercial rotational age), with almost half of total forest area being over 80&#x2009;years old (<xref ref-type="fig" rid="fig3">Figure 3</xref>). The current age distribution of forests in both states is a result of prior land use and management regimes throughout the early parts of the 20<sup>th</sup> century that prioritized the clearing of forested landscapes for agriculture and human settlements, forest regrowth of depleted agricultural lands, management intensification, legacy effects of diameter-limit-cuts, and the disruption to historic natural disturbance regimes (<xref ref-type="bibr" rid="ref114">Millers et al., 1989</xref>; <xref ref-type="bibr" rid="ref128">Otto, 1989</xref>). Presently, forests in both states ensure a steady timber supply in the near term. However, with over 63.3% and 72.1% of forestlands in Maryland and Pennsylvania, respectively, being over 60&#x2009;years old and nearing their commercial rotation ages, future timber supplies are dependent upon continued successful regeneration or thinning in older stands. Together, Maryland and Pennsylvania provide a unique study area to explore the role of climate-smart forestry in quantifying the C mitigation potential of forests and HWPs.</p>
<fig position="float" id="fig3">
<label>Figure 3</label>
<caption>
<p>Forest age demographics by forest type group, 2020. <bold>(A)</bold> Maryland; <bold>(B)</bold> Pennsylvania.</p>
</caption>
<graphic xlink:href="ffgc-06-1259010-g003.tif"/>
</fig>
</sec>
<sec id="sec4">
<label>2.2.</label>
<title>Forest ecosystem data and modeling framework</title>
<p>We used the Carbon Budget Model of the Canadian Forest Sector (CBM-CFS3; <xref ref-type="bibr" rid="ref91">Kurz et al., 2009</xref>; <xref ref-type="bibr" rid="ref88">Kull et al., 2019</xref>), an operational scale carbon model that uses spatially referenced inventory data and empirically derived growth-yield curves to simulate forest carbon dynamics through time utilizing guidelines and carbon pools established by the Intergovernmental Panel on Climate Change (IPCC). The model incorporates both human activities and natural disturbances to simulate forest C dynamics on annual timesteps. Process-based equations simulate carbon dynamics between soil, dead organic matter, and forest processes such as litterfall, while disturbance matrices represent the impacts of specific disturbance events, through the transfer of carbon between pools, carbon transfer to the forest product sector, and carbon emissions to the atmosphere (<xref ref-type="bibr" rid="ref91">Kurz et al., 2009</xref>). The CBM-CFS3 has had wide applications within the United States (<xref ref-type="bibr" rid="ref50">Dugan et al., 2018b</xref>, <xref ref-type="bibr" rid="ref49">2021</xref>), Canada (<xref ref-type="bibr" rid="ref93">Kurz et al., 2013</xref>), and internationally (<xref ref-type="bibr" rid="ref137">Pilli et al., 2013</xref>, <xref ref-type="bibr" rid="ref135">2017</xref>, <xref ref-type="bibr" rid="ref134">2022</xref>; <xref ref-type="bibr" rid="ref125">Olguin et al., 2018</xref>; <xref ref-type="bibr" rid="ref61">FERS, 2021</xref>), with thorough ground truthing (<xref ref-type="bibr" rid="ref163">Shaw et al., 2014</xref>) and characterization of model uncertainty (<xref ref-type="bibr" rid="ref112">Metsaranta et al., 2017</xref>). It is also the core model of Canada&#x2019;s National Forest Carbon Monitoring, Accounting and Reporting System (<xref ref-type="bibr" rid="ref89">Kurz and Apps, 2006</xref>; <xref ref-type="bibr" rid="ref92">Kurz et al., 2018</xref>; <xref ref-type="bibr" rid="ref54">ECCC, 2023</xref>).</p>
<p>Primary data inputs to CBM-CFS3 included a detailed forest inventory, growth-yield relations to estimate forest productivity, and estimates of harvest yields and intensity, land-use change, and natural disturbances. Inventory data are categorized by a series of forest classifiers defining relevant characteristics such as spatially referenced boundaries, ownership, forest type, site productivity, or reserve status. Allometric equations are used to predict tree volume-to-biomass relationships (<xref ref-type="bibr" rid="ref18">Boudewyn et al., 2007</xref>). For this study, forest inventory, growth-yield curves, and harvest data were estimated from the USDA Forest Service Forest Inventory and Analysis (FIA) program, which we accessed through the FIA DataMart (<xref ref-type="bibr" rid="ref183">USDA Forest Service, 2019</xref>) using the rFIA package (<xref ref-type="bibr" rid="ref176">Stanke et al., 2020</xref>) in the R programming environment (<xref ref-type="bibr" rid="ref149">R Core Team, 2020</xref>). rFIA enables data exploration and user-defined spatio-temporal queries and estimation of the FIA database (FIADB). Methodologies derived from <xref ref-type="bibr" rid="ref10">Bechtold and Patterson (2005)</xref> and <xref ref-type="bibr" rid="ref148">Pugh et al. (2018)</xref> were used to estimate each state&#x2019;s forest inventory by a predetermined list of classifiers (<xref rid="SM1" ref-type="supplementary-material">Supplementary Table S1</xref>). Natural disturbance history was estimated from both the FIADB and LANDFIRE (<xref ref-type="bibr" rid="ref186">USGS, 2016</xref>) datasets to better constrain initial belowground and soil carbon parameters during what the modeling framework refers to as the model spin-up period (<xref ref-type="bibr" rid="ref91">Kurz et al., 2009</xref>). Estimates of merchantable volume and corresponding biomass from FIADB were used to calibrate the model&#x2019;s allometric volume-to-biomass assumptions to match forest type groups and growth conditions in Maryland and Pennsylvania.</p>
<p>To estimate empirical growth-yield curves, a Gompertz growth function (<xref ref-type="disp-formula" rid="EQ1">Eq. 1</xref>) was used to model plot-level relationships between merchantable timber volume and average stand age. This growth model is a common exponential function used to estimate various forest attributes while not assuming symmetry within the curve unlike other logistic functions (<xref ref-type="bibr" rid="ref60">Fekedulegn et al., 1999</xref>). The Gompertz growth curve takes the following form:</p>
<disp-formula id="EQ1">
<label>(1)</label>
<mml:math id="M1">
<mml:mi>y</mml:mi>
<mml:mfenced open="(" close=")">
<mml:mi>t</mml:mi>
</mml:mfenced>
<mml:mo>=</mml:mo>
<mml:mi>&#x03B1;</mml:mi>
<mml:mspace width="0.25em"/>
<mml:mo>exp</mml:mo>
<mml:mfenced open="(" close=")">
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>&#x03B2;</mml:mi>
<mml:mo>exp</mml:mo>
<mml:mfenced open="(" close=")">
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:msup>
<mml:mi>k</mml:mi>
<mml:mi>t</mml:mi>
</mml:msup>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mfenced>
</mml:math>
</disp-formula>
<p>where, <inline-formula>
<mml:math id="M2">
<mml:mi>&#x03B1;</mml:mi>
</mml:math>
</inline-formula> is the upper asymptote, <inline-formula>
<mml:math id="M3">
<mml:mi>&#x03B2;</mml:mi>
</mml:math>
</inline-formula> is the growth displacement, and <italic>k</italic> is the growth rate or slope at time <italic>t</italic>.</p>
<p>Due to limitations of using stand age as a predictor to estimate merchantable volume in uneven-aged stands following harvest events, a modified growth-yield table was derived by utilizing methods developed and validated in <xref ref-type="bibr" rid="ref137">Pilli et al. (2013)</xref> for calculating annual growth increments of unevenly aged systems following harvests. This is derived from the assumption that younger cohorts of trees move toward canopy dominance via canopy gap dynamics inherent to uneven-aged managed forests common in this region of the US. This methodology outlines that, following the removal of a specific proportion of merchantable volume, the growth curve continues to approach the same asymptote established in the unmodified growth-yield table. Using merchantable timber volume as a function of stand age and productivity class, MAI of each productivity curve can be modified using a basic exponential function (<xref rid="SM1" ref-type="supplementary-material">Supplementary Equation S2</xref>) to then reapproach the original asymptote.</p>
<p>Harvest removals were estimated as an average annual removal of merchantable timber in cubic feet between 2007 and 2019, converted to metric tons of carbon using methodologies and specific gravities reported by <xref ref-type="bibr" rid="ref169">Smith et al., 2006</xref>. To assign a harvest type and intensity to each record of volumetric removal, stand age at the time of removal was calculated by taking the mid-point average between time <italic>t<sub>1</sub></italic> and <italic>t<sub>2</sub></italic> (<xref ref-type="bibr" rid="ref10">Bechtold and Patterson, 2005</xref>) where <italic>t<sub>1</sub></italic> is the year the unharvested stand was measured and <italic>t<sub>2</sub></italic> is the repeat interval year measurement post-harvest. In collaboration with state partners, harvest type and intensity were determined heuristically for each forest type based upon state-level management documentation, peer-reviewed literature, and expert input. A complete list of harvest types and intensities prescribed to each forest type group as a product of stand age can be found in <xref rid="SM1" ref-type="supplementary-material">Supplementary Table S3</xref>.</p>
<p>Longer-term averages from 2007 to 2019 were used to estimate annual area targets for all LUC and natural disturbance events including wind, fire, disease, and insects. Averaged annual LUC rates by ownership and forest type group were derived by overlaying a geospatial forestland ownership dataset (<xref ref-type="bibr" rid="ref156">Sass et al., 2020</xref>), the Protected Areas Database of the U.S. (PAD-US), a national geodatabase of protected areas (<xref ref-type="bibr" rid="ref187">USGS, 2018</xref>), and the National Land Cover Database (NLCD), a remotely-sensed data product used to characterize land cover and land cover change (<xref ref-type="bibr" rid="ref195">Wickham et al., 2021</xref>). Wind disturbance events were calculated using the LANDFIRE Historic Disturbance dataset (<xref ref-type="bibr" rid="ref186">USGS, 2016</xref>), a remotely-sensed data product provided by the USGS that estimates annual disturbance events. Annual averages for wildfire disturbances were derived from the LANDFIRE Historic Disturbance dataset (<xref ref-type="bibr" rid="ref186">USGS, 2016</xref>) and validated through annual reports from the National Interagency Fire Center (NIFC). Annual prescribed fire acres were estimated from reports provided by the Maryland DNR Forest Service and Pennsylvania DCNR Bureau of Forestry and scaled to represent treatments on forestlands only. Annual acreages of insect and disease disturbance were derived from National Insect and Disease Detection Survey (<xref ref-type="bibr" rid="ref184">USDA Forest Service, 2020</xref>), a spatial data product produced by USDA that collects and reports data on forests insects, diseases, and other disturbances. For more information on all input and activity data, see <xref rid="SM1" ref-type="supplementary-material">Supplementary material 1.2</xref>. A complete list of BAU parameters can be found in <xref rid="SM1" ref-type="supplementary-material">Supplementary Table S2</xref>.</p>
</sec>
<sec id="sec5">
<label>2.3.</label>
<title>Harvested wood products data and modeling framework</title>
<p>To calculate and assess carbon stored by and GHGs emitted from forest products, we developed separate HWP models (CBM-HWP-MD for Maryland and CBM-HWP-PA for Pennsylvania) using the Abstract Network Simulation Engine (ANSE) model framework. ANSE is a carbon estimation tool developed by the Canadian Forest Service and employed in annual reporting of Canada&#x2019;s national GHG inventory. Both the CBM-HWP-MD and CBM-HWP-PA models facilitate modeling, tracking, and calculation of embodied carbon stored by and emitted from HWPs. Furthermore, both models were adapted to and parameterized with US-based data and estimates and region-specific data where available.</p>
<p>Specific disturbance actions implemented in the CBM-CFS3 (particularly, though not exclusively, harvest events) transfer carbon in the form of metric tons of carbon directly into the CBM-HWP-MD and CBM-HWP-PA models. This transferred carbon is then partitioned among various wood product streams (<xref rid="SM1" ref-type="supplementary-material">Supplementary Figure S4</xref>), based on current practices in the forest products sector. Carbon is either exported in the form of roundwood exports or produced commodities, retained for domestic commodity use, or immediate use domestically for mill residues, energy, and additional commodity production. Maryland and Pennsylvania have distinct product ratios split by wood type (<xref rid="SM1" ref-type="supplementary-material">Supplementary Figure S5</xref>). Each commodity stream has a corresponding half-life that determines the in-use residence time of carbon in a specific product stream before being allocated to an end-of-life path (i.e., recycled, burned for energy, or sent to a landfill). Landfills also have corresponding half-lives by landfill type and location, and from which carbon eventually decomposes and is emitted to the atmosphere as either carbon dioxide (CO<sub>2</sub>) or methane (CH<sub>4</sub>). Furthermore, each state specific model tracks inherited wood products, or products in-use, prior to model simulation starting from 1950 onwards.</p>
<p>When HWPs are substituted for alternative, more emissions-intensive products (e.g., concrete, steel), that change in production is assumed to have associated displaced emissions, or substitution benefit (<xref ref-type="bibr" rid="ref67">Geng et al., 2017</xref>). For example, when additional wood products are manufactured relative to BAU, we assume those additional products will be used in place of other non-wood materials, resulting in a corresponding substitution benefit and reduction in GHG emissions (<xref ref-type="bibr" rid="ref96">Leskinen et al., 2018</xref>). Substitution benefits are applied only to saw logs, composite panels, and bioenergy products. Inversely, a decrease in wood product manufacturing results in increased emissions (or negative substitution benefits; <xref ref-type="bibr" rid="ref118">Myllyviita et al., 2021</xref>).</p>
<p>Using methods from <xref ref-type="bibr" rid="ref170">Smyth et al. (2017)</xref>, we calculated and applied state-specific displacement factors for softwood and hardwood saw logs and composite panels. The calculated displacement factors rely on LCA data for the emissions associated with the extraction, raw material transport, and manufacture of both the HWPs and the assumed alternative materials and <xref ref-type="bibr" rid="ref170">Smyth et al. (2017)</xref> data on relative product weights in different end use products. As an additional component of the displacement factor calculations, we used state-level RPA mill residue and primary timber product data (core tables 10 and 5) and <xref ref-type="bibr" rid="ref78">Howard et al. (2017)</xref> data on wood product market share percentages in the US to calculate weighted lumber and composite panel production and use for each state. Maryland had displacement factors of 2.045 (softwood saw logs), 2.681 (hardwood saw logs), 2.682 (softwood composite panels), and 1.972 (hardwood composite panels). Pennsylvania had displacement factors of 2.032 (softwood saw logs), 2.692 (hardwood sawlogs), 2.682 (softwood composite panels), and 1.932 (hardwood composite panels). We applied a conservative and linearly decreasing displacement factor for bioenergy for both states, starting at 0.47 in 2022 (<xref ref-type="bibr" rid="ref170">Smyth et al., 2017</xref>) and reaching zero by 2040 to account for Maryland&#x2019;s net-zero target by 2045 and the Biden Administration&#x2019;s goal of reach a carbon pollution-free power sector by 2035. Calculations reflect current wood and alternative product extraction, raw material transport, and manufacture; they do not assume increased carbon efficiencies in wood (or alternative product) production throughout the modeling period, nor the adoption of carbon capture and storage, as these technologies are not currently widely adopted within the region.</p>
<p>For scenarios that result in lower levels of harvest relative to BAU, we apply a leakage factor to estimate an assumed increase in harvest activities occurring outside the study area compensating for a decrease in timber supply (<xref ref-type="bibr" rid="ref117">Murray et al., 2004</xref>). We assume demand for wood products remains constant despite reductions in harvest and assume a portion of that demand will be met via imports of additional wood (i.e., leakage). Further, we assume all remaining product demand not met by wood imports will be met by an increased use of non-wood materials in place of wood. Determination of leakage rates are dependent upon the degrees of assumed regional collaboration with estimates ranging from 63.9% (<xref ref-type="bibr" rid="ref65">Gan and McCarl, 2007</xref>) to 84.4% (<xref ref-type="bibr" rid="ref194">Wear and Murray, 2004</xref>). In this study we assumed a leakage factor of 63.9% due to the multi-state nature of the project, meaning that the remaining 36.1% of reduced harvest rates are subject to additional emissions from non-wood materials. Leakage is only assumed to result from reduced in-state harvest whereas increased in-state harvests are assumed to result in increased wood utilization rather than reductions in out-of-state harvest.</p>
<p>State-specific trade and commodity data from Resource Planning Act (RPA) assessments (<xref ref-type="bibr" rid="ref185">USDA Forest Service, 2021</xref>), US Commodity Flow Surveys (<xref ref-type="bibr" rid="ref181">US Department of Transportation, Bureau of Transportation Statistics, US Department of Commerce, and US Census Bureau, 2020</xref>), US International Trade Commission export data (<xref ref-type="bibr" rid="ref182">US International Trade Commission, 2021</xref>), and published peer-reviewed data (<xref ref-type="bibr" rid="ref77">Howard and Liang, 2019</xref>) when available, or US averages from the same sources, were used to adapt and parameterize both HWP models. FAOSTAT data (<xref ref-type="bibr" rid="ref58">FAO, 2021</xref>) were utilized to determine the commodity distributions of exported roundwood. Softwood products were parameterized and modeled separately from hardwood products, as the two wood types differ in exports and commodities produced as well as their associated product half-lives and displacement (<xref ref-type="bibr" rid="ref53">Dymond, 2012</xref>; <xref ref-type="bibr" rid="ref78">Howard et al., 2017</xref>). Published data were used to calculate softwood- and hardwood-specific half-lives for Maryland and Pennsylvania sawn wood and veneer products, while we relied on literature estimates for other products (<xref ref-type="bibr" rid="ref169">Smith et al., 2006</xref>; <xref ref-type="bibr" rid="ref167">Skog, 2008</xref>). To calculate substitution benefits, we coupled region-specific data (<xref ref-type="bibr" rid="ref185">USDA Forest Service, 2021</xref>), US consumption rates (<xref ref-type="bibr" rid="ref78">Howard et al., 2017</xref>), product weights (<xref ref-type="bibr" rid="ref170">Smyth et al., 2017</xref>), and LCA data (<xref ref-type="bibr" rid="ref8">Bala et al., 2010</xref>; <xref ref-type="bibr" rid="ref52">Dylewski and Adamczyk, 2013</xref>; <xref ref-type="bibr" rid="ref110">Meil and Bushi, 2013</xref>; <xref ref-type="bibr" rid="ref145">Puettmann et al., 2016</xref>; <xref ref-type="bibr" rid="ref146">Puettmann and Salazar, 2018</xref>, <xref ref-type="bibr" rid="ref147">2019</xref>; <xref ref-type="bibr" rid="ref79">Hubbard et al., 2020</xref>; <xref ref-type="bibr" rid="ref144">Puettmann, 2020</xref>), following methods developed by <xref ref-type="bibr" rid="ref170">Smyth et al. (2017)</xref>. Landfill CO<sub>2</sub> and CH<sub>4</sub> emissions rely on IPCC defaults for methane generation (<italic>k</italic>) and landfill half-lives for wet, temperate climates (<xref ref-type="bibr" rid="ref139">Pingoud et al., 2006</xref>). See <xref rid="SM1" ref-type="supplementary-material">Supplementary material Appendix S1</xref> for more details on substitution and leakage calculation methods and <xref rid="SM1" ref-type="supplementary-material">Appendix S2</xref> and <xref rid="SM1" ref-type="supplementary-material">Appendix S3</xref> for site-level modeling parameters.</p>
</sec>
<sec id="sec6">
<label>2.4.</label>
<title>Management and wood utilization scenarios</title>
<p>The management, disturbance, and wood utilization data collected as described above were used to parameterize our models for the historical period of 2007&#x2013;2019. Simulations run for a total of 93&#x2009;years in which the first 13&#x2009;years use observed activity data and the remaining 80&#x2009;years use scenario-based activity data to cover both the historical period (2007&#x2013;2019) and forward-looking projections (2020&#x2013;2100), providing seamless comparisons between past and future trends. Simulation projections use the most recent decadal (2007&#x2013;2019) averages for harvest yields, natural disturbances, LUC, and wood use determined by the activity data above. Alternative management scenarios were then developed by changing selected parameters from the BAU scenario to represent possible alternate forest management practices or priorities. All other disturbance and climate data were assumed to be constant in all scenarios except for specific <italic>climate change</italic> scenarios. Scenarios were grouped for analysis into six broad categories representing similar management practices or objectives: (1) altered rotations; (2) tree planting; (3) maintain forest health and regeneration; (4) climate change impact; (5) no harvest activities; and (6) bioenergy (<xref ref-type="table" rid="tab3">Table 3</xref>). A <italic>portfolio</italic> scenario was also constructed by combining multiple individual scenarios to represent a concurrent suite of climate-smart forestry activities.</p>
<table-wrap position="float" id="tab3">
<label>Table 3</label>
<caption>
<p>Descriptions and parameters for scenarios.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th colspan="3"></th>
<th align="center" valign="top" colspan="2">Parameter value change</th>
</tr>
<tr>
<th align="left" valign="top">Scenario</th>
<th align="left" valign="top">Description</th>
<th align="left" valign="top">Parameter value</th>
<th align="left" valign="top">MD</th>
<th align="left" valign="top">PA<sup>&#x002A;</sup></th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top" colspan="5"><bold>Forest management scenarios</bold></td>
</tr>
<tr>
<td align="left" valign="top" rowspan="2">Altered rotations</td>
<td align="left" valign="top" rowspan="2">Increase/decrease in the average harvest age of stands</td>
<td align="left" valign="top" rowspan="2">Minimum age of allowable harvest</td>
<td align="left" valign="top">+30&#x2009;years on all hardwoods until 2100</td>
<td align="left" valign="top">+30&#x2009;years on all hardwood stands until 2100</td>
</tr>
<tr>
<td align="left" valign="top">+20&#x2009;years on loblolly pines until 2100</td>
<td align="left" valign="top">&#x2212;10&#x2009;years on aspen stands until 2100</td>
</tr>
<tr>
<td align="left" valign="top" rowspan="2">Altered rotations (pine alt)</td>
<td align="left" valign="top" rowspan="2">Increase/decrease in the average harvest age of stands</td>
<td align="left" valign="top" rowspan="2">Minimum age of allowable harvest</td>
<td align="left" valign="top">+30&#x2009;years on all hardwoods until 2100</td>
<td align="left" valign="middle" rowspan="2">--</td>
</tr>
<tr>
<td align="left" valign="top">+40&#x2009;years on loblolly pines until 2100</td>
</tr>
<tr>
<td align="left" valign="top">Afforestation GGRA 2030</td>
<td align="left" valign="top">Increase in the annual rate of afforestation until 2030</td>
<td align="left" valign="top">Annual afforestation rate (area)</td>
<td align="left" valign="top">+142&#x2009;ha&#x2009;yr.<sup>&#x2212;1</sup> until 2030</td>
<td align="left" valign="top">+962&#x2009;ha&#x2009;yr.<sup>&#x2212;1</sup> until 2030</td>
</tr>
<tr>
<td align="left" valign="top">Afforestation GGRA 2050</td>
<td align="left" valign="top">Increase in the annual rate of afforestation until 2050</td>
<td align="left" valign="top">Annual afforestation rate (area)</td>
<td align="left" valign="top">+142&#x2009;ha&#x2009;yr.<sup>&#x2212;1</sup> until 2050</td>
<td align="left" valign="top">+ 962&#x2009;ha&#x2009;yr.<sup>&#x2212;1</sup> acres until 2050</td>
</tr>
<tr>
<td align="left" valign="top">Afforestation scale-up 2030</td>
<td align="left" valign="top">Increase in the annual rate of afforestation until 2030</td>
<td align="left" valign="top">Annual afforestation rate (area)</td>
<td align="left" valign="top">+1,416&#x2009;ha&#x2009;yr.<sup>&#x2212;1</sup> until 2030</td>
<td align="left" valign="top">+9,615&#x2009;ha&#x2009;yr.<sup>&#x2212;1</sup> until 2030</td>
</tr>
<tr>
<td align="left" valign="top">Afforestation scale-up 2050</td>
<td align="left" valign="top">Increase in the annual rate of afforestation until 2050</td>
<td align="left" valign="top">Annual afforestation rate (area)</td>
<td align="left" valign="top">+1,416&#x2009;ha&#x2009;yr.<sup>&#x2212;1</sup> until 2050</td>
<td align="left" valign="top">+9,615&#x2009;ha&#x2009;yr.<sup>&#x2212;1</sup> until 2050</td>
</tr>
<tr>
<td align="left" valign="top">Restocking</td>
<td align="left" valign="top">Increase annual rate of stands being restocked through active planting until 2030</td>
<td align="left" valign="top">Annual supplemental or under planting rate (area)</td>
<td align="left" valign="top">+410&#x2009;ha&#x2009;yr.<sup>&#x2212;1</sup> until 2030</td>
<td align="left" valign="top">+738&#x2009;ha&#x2009;yr.<sup>&#x2212;1</sup> until 2100</td>
</tr>
<tr>
<td align="left" valign="top">Restocking 2050</td>
<td align="left" valign="top">Increased annual rate of stands being restocked through active planting until 2050</td>
<td align="left" valign="top">Annual supplemental or under planting rate (area)</td>
<td align="left" valign="top">+410&#x2009;ha&#x2009;yr.<sup>&#x2212;1</sup> until 2050</td>
<td align="left" valign="middle">--</td>
</tr>
<tr>
<td align="left" valign="top" rowspan="2">Timber stand improvement</td>
<td align="left" valign="top" rowspan="2">Increase in the annual rate of commercial thinning and prescribed burns</td>
<td align="left" valign="top">Annual thinning rate (area)</td>
<td align="left" valign="top">+2,226&#x2009;ha&#x2009;yr.<sup>&#x2212;1</sup> until 2100</td>
<td align="left" valign="top">+ 6,027&#x2009;ha&#x2009;yr.<sup>&#x2212;1</sup> until 2100</td>
</tr>
<tr>
<td align="left" valign="top">Annual prescribed burning rate (area)</td>
<td align="left" valign="top">+202&#x2009;ha&#x2009;yr.<sup>&#x2212;1</sup> until 2100</td>
<td align="left" valign="top">+10,117&#x2009;ha&#x2009;yr.<sup>&#x2212;1</sup> until 2100</td>
</tr>
<tr>
<td align="left" valign="top">Reduced deforestation</td>
<td align="left" valign="top">Decrease in the annual rate of deforestation</td>
<td align="left" valign="top">Annual deforestation rate (area)</td>
<td align="left" valign="top">&#x2212;324&#x2009;ha&#x2009;yr.<sup>&#x2212;1</sup> until 2030</td>
<td align="left" valign="top">&#x2212;2,084&#x2009;ha&#x2009;yr.<sup>&#x2212;1</sup> until 2100</td>
</tr>
<tr>
<td align="left" valign="top">Reduced diameter-limit-cuts (DLCs)</td>
<td align="left" valign="top">Decrease in the annual rate of diameter limit cuts (DLCs) until zero acres (i.e., high-grading)</td>
<td align="left" valign="top">Annual rate of diameter-limit-cuts (area)</td>
<td align="left" valign="top">&#x2212;10% of DLCs yr.<sup>&#x2212;1</sup> until area equals zero</td>
<td align="left" valign="top">&#x2212;15% of DLCs yr.<sup>&#x2212;1</sup> until area equals zero</td>
</tr>
<tr>
<td align="left" valign="top">Control deer browse</td>
<td align="left" valign="top">Increase in the annual rate of fencing to control deer browse</td>
<td align="left" valign="top">Annual rate of deer browse control (area)</td>
<td align="left" valign="top">+809&#x2009;ha&#x2009;yr.<sup>&#x2212;1</sup> until 2100</td>
<td align="left" valign="top">+5,852&#x2009;ha&#x2009;yr.<sup>&#x2212;1</sup> until 2100</td>
</tr>
<tr>
<td align="left" valign="top">Silvopasture</td>
<td align="left" valign="top">Increase in the rate of silvopasture adoption on pastureland</td>
<td align="left" valign="top">Annual rate of adoption (area)</td>
<td align="left" valign="top">+1,261&#x2009;ha&#x2009;yr.<sup>&#x2212;1</sup> until 2100</td>
<td align="left" valign="top">+6,171&#x2009;ha&#x2009;yr.<sup>&#x2212;1</sup> until 2100</td>
</tr>
<tr>
<td align="left" valign="top">No harvest activities</td>
<td align="left" valign="top">Complete reduction in all harvesting activities</td>
<td align="left" valign="top">Annual harvest rate of volumetric removals</td>
<td align="left" valign="top">&#x2212;100% harvests until 2100</td>
<td align="left" valign="top">&#x2212;100% harvests until 2100</td>
</tr>
<tr>
<td align="left" valign="top" colspan="5"><bold>Climate scenarios</bold></td>
</tr>
<tr>
<td align="left" valign="top">Climate change growth</td>
<td align="left" valign="top">Projected increase or decrease in the rate of growth of merchantable timber caused by future climate change</td>
<td align="left" valign="top">Annual growth rate</td>
<td align="left" valign="top">+0.3% average increase in growth/year (varies by forest type, ranging from 0.05%&#x2013;0.6%) until 2100</td>
<td align="left" valign="top">+0.3% average increase in growth/year (varies by forest type, ranging from 0.05%&#x2013;0.6%) until 2100</td>
</tr>
<tr>
<td align="left" valign="top" rowspan="2">Climate change disturbance</td>
<td align="left" valign="top" rowspan="2">Increase in annual area and severity of natural disturbance events caused by future climate change &#x2013; i.e., wildfire, windthrow, disease/insect disturbances</td>
<td align="left" valign="top">Annual disturbance rate (area)</td>
<td align="left" valign="top">+10% in area disturbed annually</td>
<td align="left" valign="top">+10% in area disturbed annually</td>
</tr>
<tr>
<td align="left" valign="top">Natural disturbance severity</td>
<td align="left" valign="top">+10% severity until 2100</td>
<td align="left" valign="top">+10% severity until 2100</td>
</tr>
<tr>
<td align="left" valign="top" colspan="5"><bold>Wood utilization scenarios</bold></td>
</tr>
<tr>
<td align="left" valign="top" rowspan="2">Bioenergy 1</td>
<td align="left" valign="top" rowspan="2">Diversion of mill residues from pulpwood (from mill residues) to bioenergy</td>
<td align="left" valign="top">Proportion of mill residues used for pulpwood</td>
<td align="left" valign="top">&#x2212;10% of pulpwood (from mill residues) diverted to pulpwood</td>
<td align="left" valign="top">&#x2212;10% of pulpwood (from mill residues) diverted to pulpwood</td>
</tr>
<tr>
<td align="left" valign="top">Proportion of mill residues used for bioenergy</td>
<td align="left" valign="top">+10% of pulpwood (from mill residues) diverted to bioenergy</td>
<td align="left" valign="top">+10% of pulpwood (from mill residues) diverted to bioenergy</td>
</tr>
<tr>
<td align="left" valign="top" rowspan="2">Bioenergy 2</td>
<td align="left" valign="top" rowspan="2">Diversion of all mill residues from pulpwood to bioenergy</td>
<td align="left" valign="top">Proportion of mill residues used for pulpwood</td>
<td align="left" valign="top">&#x2212;10% of all mill residues diverted to pulpwood</td>
<td align="left" valign="top">&#x2212;10% of all mill residues diverted to pulpwood</td>
</tr>
<tr>
<td align="left" valign="top">Proportion of mill residues used for bioenergy</td>
<td align="left" valign="top">+10% of all mill residues diverted to bioenergy</td>
<td align="left" valign="top">+10% of all mill residues diverted to bioenergy</td>
</tr>
<tr>
<td align="left" valign="top" colspan="5"><bold>Portfolio scenario</bold></td>
</tr>
<tr>
<td align="left" valign="top" rowspan="10">Portfolio</td>
<td align="left" valign="top" rowspan="10">Ensemble of multiple scenarios</td>
<td align="left" valign="top" rowspan="2">Rotation age of allowable harvest</td>
<td align="left" valign="top">+30&#x2009;years on all hardwoods until 2100</td>
<td align="left" valign="top">+30&#x2009;years on all hardwood stands until 2100</td>
</tr>
<tr>
<td align="left" valign="top">+20&#x2009;years on loblolly pines until 2100</td>
<td align="left" valign="top">&#x2212;10&#x2009;years on aspen stands until 2100</td>
</tr>
<tr>
<td align="left" valign="top">Annual afforestation rate</td>
<td align="left" valign="top">+142&#x2009;ha&#x2009;yr.<sup>&#x2212;1</sup> until 2050</td>
<td align="left" valign="top">+962&#x2009;ha&#x2009;yr.<sup>&#x2212;1</sup> until 2050</td>
</tr>
<tr>
<td align="left" valign="top">Annual deforestation rate</td>
<td align="left" valign="top">&#x2212;324&#x2009;ha&#x2009;yr.<sup>&#x2212;1</sup> until 2030</td>
<td align="left" valign="top">&#x2212;2,084&#x2009;ha&#x2009;yr.<sup>&#x2212;1</sup> until 2100</td>
</tr>
<tr>
<td align="left" valign="top">Annual restocking rate</td>
<td align="left" valign="top">+410&#x2009;ha&#x2009;yr.<sup>&#x2212;1</sup> until 2050</td>
<td align="left" valign="top">+1,824&#x2009;ha&#x2009;yr.<sup>&#x2212;1</sup> until 2100</td>
</tr>
<tr>
<td align="left" valign="top" rowspan="2">Annual rate of timber stand improvement treatments</td>
<td align="left" valign="top">+2,226&#x2009;ha&#x2009;yr.<sup>&#x2212;1</sup> thinned until 2100</td>
<td align="left" valign="top">+6,027&#x2009;ha&#x2009;yr.<sup>&#x2212;1</sup> thinned until 2100</td>
</tr>
<tr>
<td align="left" valign="top">+202&#x2009;ha&#x2009;yr.<sup>&#x2212;1</sup> prescribed burn until 2100</td>
<td align="left" valign="top">+10,117&#x2009;ha&#x2009;yr.<sup>&#x2212;1</sup> prescribed burn until 2100</td>
</tr>
<tr>
<td align="left" valign="top">Annual DLC rate</td>
<td align="left" valign="top">&#x2212;10% of DLCs yr.<sup>&#x2212;1</sup> until area equals zero</td>
<td align="left" valign="top">&#x2212;15% of DLCs yr.<sup>&#x2212;1</sup> until area equals zero</td>
</tr>
<tr>
<td align="left" valign="top">Annual silvopasture rate</td>
<td align="left" valign="top">+1,261&#x2009;ha&#x2009;yr.<sup>&#x2212;1</sup> until 2100</td>
<td align="left" valign="top">+6,171&#x2009;ha&#x2009;yr.<sup>&#x2212;1</sup> until 2100</td>
</tr>
<tr>
<td align="left" valign="top">Annual deer browse control rate</td>
<td align="left" valign="top">+809&#x2009;ha&#x2009;yr.<sup>&#x2212;1</sup> until 2100</td>
<td align="left" valign="top">+5,851&#x2009;ha&#x2009;yr.<sup>&#x2212;1</sup> until 2100</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p>Values changed relative to business-as-usual (BAU) beginning in 2020. Detailed scenario descriptions available in <xref rid="SM1" ref-type="supplementary-material">Supplementary material 1.4</xref>. <sup>&#x002A;</sup>Alternative pine rotation length and restocking 2050 were not run for Pennsylvania.</p>
</table-wrap-foot>
</table-wrap>
<p>BAU results are reported in million metric tons of C (MMT C) or million metric tons of CO<sub>2</sub> equivalency (MMT CO<sub>2</sub>e), using 100-year global warming potentials. Annual Net Biome Productivity (NBP) is calculated as gross ecosystem productivity minus C losses from respiration, decomposition, and disturbance (including harvest and fire), where negative values represent a net carbon sink and positive values represent a net carbon source. To assess the relative gains in mitigation potential from alternative management and wood utilization practices, scenario results below are discussed in both actual values and in standardized terms relative to the BAU scenario. This standardized mitigation potential (henceforth, &#x201C;mitigation&#x201D;) is calculated by subtracting the annual net C balance of the BAU from the annual net C balance of each scenario, comparing net GHG emissions (CO<sub>2</sub>, CH<sub>4</sub>, CO, N<sub>2</sub>O) for each modeled scenario with net GHG emissions from the BAU simulation. This approach isolates the effect of each management practice to understand and assess the differential impact between an alternative management approach and BAU. Net emissions (or the net C balance) include (1) emissions resulting from disturbances (harvest, LUC, or natural disturbance) or decay processes in the forest ecosystem, (2) emissions resulting from HWP use, mill efficiency, and decomposition, (3) emissions results from the substitution of non-wood materials and bioenergy for other forms of energy derivation, and (4) leakage from reduced harvest rates.</p>
<p>A total of 15 management scenarios were modeled for Maryland and 13 management scenarios for Pennsylvania, along with two climate change impact scenarios and two bioenergy scenarios for both states (<xref ref-type="table" rid="tab3">Table 3</xref>). All scenarios were developed within a participatory framework alongside state partners to represent a variety of plausible or theoretical management activities that might be implemented to respond to forest health concerns, shifting forest management priorities, or policy incentives. Partners were asked to identify scenarios of interest for all land ownership types, as well as the scale and duration of each management practice. The development of scenarios and modeling results and analysis were conducted in a close iterative process with our state partners to validate and infer any model results and parameters. More detailed descriptions of scenarios, methodologies, data acquisitions, and assumptions for each can be found in <xref rid="SM1" ref-type="supplementary-material">Supplementary material Appendix S1</xref>.</p>
</sec>
</sec>
<sec sec-type="results" id="sec7">
<label>3.</label>
<title>Results</title>
<sec id="sec8">
<label>3.1.</label>
<title>Business-as-usual simulation</title>
<p>Our results are first partitioned between the BAU forest ecosystem C balance followed by C dynamics in the forest products sector. We then analyze the two linked assessments prior to assessing and quantifying impacts of alternative management scenarios as counterfactuals to the BAU.</p>
<sec id="sec9">
<label>3.1.1.</label>
<title>BAU forest ecosystem C balance</title>
<p>Results from the BAU simulation from the forest ecosystem model suggested that forest ecosystems in Maryland will remain a net C sink (<xref ref-type="fig" rid="fig4">Figure 4A</xref>) from 2020 to 2100. In contrast, our results showed forest ecosystems in Pennsylvania were projected to become a net C source in 2025 (<xref ref-type="fig" rid="fig4">Figure 4C</xref>). From 2020 to 2100, Maryland forest ecosystems cumulatively sequestered an additional &#x2212;25.96 MMT CO<sub>2</sub>e while Pennsylvania forest ecosystems cumulatively emitted +306.12 MMT CO<sub>2</sub>e. In both Maryland and Pennsylvania, the weakening forest sink was driven by LUC, a reduction in MAI due to forests aging (<xref rid="SM1" ref-type="supplementary-material">Supplementary Figures S10</xref>, <xref rid="SM1" ref-type="supplementary-material">S11</xref>), increased turnover rates from accumulation of dead organic material on the forest floor and soil pools (<xref rid="SM1" ref-type="supplementary-material">Supplementary Figure S9</xref>), and carbon being removed from the ecosystem through harvest delaying immediate growth potential of forests, but may ensure future growth as forests recover post-harvest.</p>
<fig position="float" id="fig4">
<label>Figure 4</label>
<caption>
<p>BAU scenario forest ecosystems results showing net biome productivity (green line), historic harvest removals (gray bars), and modeled harvest removals (dark brown bars) for <bold>(A)</bold> Maryland and <bold>(C)</bold> Pennsylvania. Annual net biome productivity (NBP) represents all growth minus respiration. Decomposition, and disturbance emissions (or transfers to the HWP sector). Panels <bold>(B)</bold> and <bold>(D)</bold> represent forest area (million hectares) across the BAU simulation for Maryland and Pennsylvania, respectively.</p>
</caption>
<graphic xlink:href="ffgc-06-1259010-g004.tif"/>
</fig>
<p>Timber harvest significantly impacted the C balance in both states where annually, Maryland harvested 1.22 MMT CO<sub>2</sub>e yr.<sup>&#x2212;1</sup> and Pennsylvania harvested 6.99 MMT CO<sub>2</sub>e yr.<sup>&#x2212;1</sup> on average, with cumulative removals of 198.9 MMT CO<sub>2</sub>e and 1139.9 MMT CO<sub>2</sub>e from 2020 to 2100 in Maryland and Pennsylvania, respectively. In both states, harvest rates remained relatively constant with an average of 7,516&#x2009;ha&#x2009;yr.<sup>&#x2212;1</sup> in Maryland and 56,959&#x2009;ha&#x2009;yr.<sup>&#x2212;1</sup> in Pennsylvania, representing 0.76% and 0.85% of the forest area in each state, though harvest rates declined slowly throughout the latter half of the century (<xref ref-type="fig" rid="fig4">Figure 4</xref>) as a substantial portion of forests in both states age beyond typical harvesting age thresholds (<xref rid="SM1" ref-type="supplementary-material">Supplementary Figures S6</xref>, <xref rid="SM1" ref-type="supplementary-material">S7</xref>). In isolation, harvest removals were represented as loss within the forest ecosystem results (<xref ref-type="fig" rid="fig4">Figures 4A</xref>,<xref ref-type="fig" rid="fig4">C</xref>) because the carbon in harvested wood is removed from the ecosystem; however, it is important to note that this carbon is not immediately emitted to the atmosphere but is instead transferred to the forest products sector.</p>
<p>As noted above, large forest areas in both states are projected to surpass typical harvesting age thresholds and reach older age classes (&#x003E;130&#x2009;years) where age-related patterns and processes limit forest productivity (<xref ref-type="bibr" rid="ref154">Ryan et al., 1997</xref>; <xref ref-type="bibr" rid="ref15">Binkley et al., 2002</xref>; <xref ref-type="bibr" rid="ref165">Silver et al., 2013</xref>). However, older forests continue to store a substantial amount of carbon as shown in <xref rid="SM1" ref-type="supplementary-material">Supplementary Figures S20</xref>&#x2013;<xref rid="SM1" ref-type="supplementary-material">S23</xref>. Area of young forests were projected to decline in both states from 2020 to 2100, driven by the dominance of aging forests on the landscape. The reduction in annual MAI caused by forest aging along with positive DOM emissions significantly weakened C sink strength in Maryland from an annual net emission of &#x2212;0.45 MMT CO2e from 2020 to 2029 to an annual net emission of &#x2212;0.29 MMT CO2e from 2050 to 2100, whereas Pennsylvania sequestered &#x2212;0.16 MMT CO<sub>2</sub>e annually from 2020 to 2029 but emitted 5.11 MMT CO<sub>2</sub>e annually from 2050 to 2100 (<xref ref-type="table" rid="tab4">Table 4</xref>, BAU).</p>
<table-wrap position="float" id="tab4">
<label>Table 4</label>
<caption>
<p>Averaged annual net mitigation potential of BAU and each scenario for both Maryland and Pennsylvania for 2030, 2050, and 2100 (MMT CO<sub>2</sub>e-) for the forest ecosystem (ECO) and the forest ecosystem combined with HWP sector (TOT).</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="middle" rowspan="3">Scenario</th>
<th align="center" valign="middle" colspan="6">Maryland</th>
<th align="center" valign="middle" colspan="6">Pennsylvania</th>
</tr>
<tr>
<th align="center" valign="middle" colspan="2">2020 to 2029</th>
<th align="center" valign="middle" colspan="2">2030 to 2049</th>
<th align="center" valign="middle" colspan="2">2050 to 2100</th>
<th align="center" valign="middle" colspan="2">2020 to 2029</th>
<th align="center" valign="middle" colspan="2">2030 to 2049</th>
<th align="center" valign="middle" colspan="2">2050 to 2100</th>
</tr>
<tr>
<th align="center" valign="middle">ECO</th>
<th align="center" valign="middle">TOT</th>
<th align="center" valign="middle">ECO</th>
<th align="center" valign="middle">TOT</th>
<th align="center" valign="middle">ECO</th>
<th align="center" valign="middle">TOT</th>
<th align="center" valign="middle">ECO</th>
<th align="center" valign="middle">TOT</th>
<th align="center" valign="middle">ECO</th>
<th align="center" valign="middle">TOT</th>
<th align="center" valign="middle">ECO</th>
<th align="center" valign="middle">TOT</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="middle">BAU</td>
<td align="center" valign="middle"><bold>&#x2212;0.45</bold></td>
<td align="center" valign="middle"><bold>&#x2212;0.78</bold></td>
<td align="center" valign="middle"><bold>&#x2212;0.31</bold></td>
<td align="center" valign="middle"><bold>&#x2212;0.44</bold></td>
<td align="center" valign="middle"><bold>&#x2212;0.29</bold></td>
<td align="center" valign="middle"><bold>&#x2212;0.07</bold></td>
<td align="center" valign="middle"><bold>&#x2212;0.16</bold></td>
<td align="center" valign="middle"><bold>&#x2212;3.72</bold></td>
<td align="center" valign="middle">2.76</td>
<td align="center" valign="middle"><bold>&#x2212;2.45</bold></td>
<td align="center" valign="middle">5.11</td>
<td align="center" valign="middle">1.14</td>
</tr>
<tr>
<td align="left" valign="middle">Altered rotations</td>
<td align="center" valign="middle"><bold>&#x2212;0.63</bold></td>
<td align="center" valign="middle"><bold>&#x2212;0.74</bold></td>
<td align="center" valign="middle"><bold>&#x2212;0.55</bold></td>
<td align="center" valign="middle"><bold>&#x2212;0.48</bold></td>
<td align="center" valign="middle"><bold>&#x2212;0.28</bold></td>
<td align="center" valign="middle"><bold>&#x2212;0.08</bold></td>
<td align="center" valign="middle"><bold>&#x2212;2.01</bold></td>
<td align="center" valign="middle"><bold>&#x2212;3.19</bold></td>
<td align="center" valign="middle">1.66</td>
<td align="center" valign="middle"><bold>&#x2212;2.62</bold></td>
<td align="center" valign="middle">5.66</td>
<td align="center" valign="middle">0.97</td>
</tr>
<tr>
<td align="left" valign="middle">Altered rotations (pine alt)</td>
<td align="center" valign="middle"><bold>&#x2212;0.65</bold></td>
<td align="center" valign="middle"><bold>&#x2212;0.69</bold></td>
<td align="center" valign="middle"><bold>&#x2212;0.54</bold></td>
<td align="center" valign="middle"><bold>&#x2212;0.43</bold></td>
<td align="center" valign="middle"><bold>&#x2212;0.26</bold></td>
<td align="center" valign="middle"><bold>&#x2212;0.09</bold></td>
<td align="center" valign="middle">-</td>
<td align="center" valign="middle">-</td>
<td align="center" valign="middle">-</td>
<td align="center" valign="middle">-</td>
<td align="center" valign="middle">-</td>
<td align="center" valign="middle">-</td>
</tr>
<tr>
<td align="left" valign="middle">Afforestation GGRA 2030</td>
<td align="center" valign="middle"><bold>&#x2212;0.5</bold></td>
<td align="center" valign="middle"><bold>&#x2212;0.76</bold></td>
<td align="center" valign="middle"><bold>&#x2212;0.31</bold></td>
<td align="center" valign="middle"><bold>&#x2212;0.44</bold></td>
<td align="center" valign="middle"><bold>&#x2212;0.3</bold></td>
<td align="center" valign="middle"><bold>&#x2212;0.07</bold></td>
<td align="center" valign="middle"><bold>&#x2212;0.37</bold></td>
<td align="center" valign="middle"><bold>&#x2212;3.84</bold></td>
<td align="center" valign="middle">2.61</td>
<td align="center" valign="middle"><bold>&#x2212;2.49</bold></td>
<td align="center" valign="middle">5.11</td>
<td align="center" valign="middle">1.17</td>
</tr>
<tr>
<td align="left" valign="middle">Afforestation GGRA 2050</td>
<td align="center" valign="middle"><bold>&#x2212;0.55</bold></td>
<td align="center" valign="middle"><bold>&#x2212;0.79</bold></td>
<td align="center" valign="middle"><bold>&#x2212;0.34</bold></td>
<td align="center" valign="middle"><bold>&#x2212;0.45</bold></td>
<td align="center" valign="middle"><bold>&#x2212;0.32</bold></td>
<td align="center" valign="middle"><bold>&#x2212;0.07</bold></td>
<td align="center" valign="middle"><bold>&#x2212;0.29</bold></td>
<td align="center" valign="middle"><bold>&#x2212;3.85</bold></td>
<td align="center" valign="middle">2.49</td>
<td align="center" valign="middle"><bold>&#x2212;2.5</bold></td>
<td align="center" valign="middle">5.01</td>
<td align="center" valign="middle">1.15</td>
</tr>
<tr>
<td align="left" valign="middle">Afforestation scale-up 2030</td>
<td align="center" valign="middle"><bold>&#x2212;0.69</bold></td>
<td align="center" valign="middle"><bold>&#x2212;0.84</bold></td>
<td align="center" valign="middle"><bold>&#x2212;0.32</bold></td>
<td align="center" valign="middle"><bold>&#x2212;0.45</bold></td>
<td align="center" valign="middle"><bold>&#x2212;0.29</bold></td>
<td align="center" valign="middle"><bold>&#x2212;0.09</bold></td>
<td align="center" valign="middle"><bold>&#x2212;1.17</bold></td>
<td align="center" valign="middle"><bold>&#x2212;4.08</bold></td>
<td align="center" valign="middle">2.36</td>
<td align="center" valign="middle"><bold>&#x2212;2.54</bold></td>
<td align="center" valign="middle">4.92</td>
<td align="center" valign="middle">1.1</td>
</tr>
<tr>
<td align="left" valign="middle">Afforestation scale-up 2050</td>
<td align="center" valign="middle"><bold>&#x2212;0.69</bold></td>
<td align="center" valign="middle"><bold>&#x2212;0.82</bold></td>
<td align="center" valign="middle"><bold>&#x2212;0.63</bold></td>
<td align="center" valign="middle"><bold>&#x2212;0.53</bold></td>
<td align="center" valign="middle"><bold>&#x2212;0.47</bold></td>
<td align="center" valign="middle"><bold>&#x2212;0.11</bold></td>
<td align="center" valign="middle"><bold>&#x2212;1.41</bold></td>
<td align="center" valign="middle"><bold>&#x2212;4.08</bold></td>
<td align="center" valign="middle">0.67</td>
<td align="center" valign="middle"><bold>&#x2212;2.91</bold></td>
<td align="center" valign="middle">4.31</td>
<td align="center" valign="middle">0.88</td>
</tr>
<tr>
<td align="left" valign="middle">Restocking</td>
<td align="center" valign="middle"><bold>&#x2212;0.53</bold></td>
<td align="center" valign="middle"><bold>&#x2212;0.79</bold></td>
<td align="center" valign="middle"><bold>&#x2212;0.33</bold></td>
<td align="center" valign="middle"><bold>&#x2212;0.42</bold></td>
<td align="center" valign="middle"><bold>&#x2212;0.29</bold></td>
<td align="center" valign="middle"><bold>&#x2212;0.08</bold></td>
<td align="center" valign="middle"><bold>&#x2212;0.27</bold></td>
<td align="center" valign="middle"><bold>&#x2212;3.74</bold></td>
<td align="center" valign="middle">2.53</td>
<td align="center" valign="middle"><bold>&#x2212;2.45</bold></td>
<td align="center" valign="middle">4.78</td>
<td align="center" valign="middle">1.11</td>
</tr>
<tr>
<td align="left" valign="middle">Restocking 2050</td>
<td align="center" valign="middle"><bold>&#x2212;0.55</bold></td>
<td align="center" valign="middle"><bold>&#x2212;0.8</bold></td>
<td align="center" valign="middle"><bold>&#x2212;0.35</bold></td>
<td align="center" valign="middle"><bold>&#x2212;0.42</bold></td>
<td align="center" valign="middle"><bold>&#x2212;0.3</bold></td>
<td align="center" valign="middle"><bold>&#x2212;0.08</bold></td>
<td align="center" valign="middle">-</td>
<td align="center" valign="middle">-</td>
<td align="center" valign="middle">-</td>
<td align="center" valign="middle">-</td>
<td align="center" valign="middle">-</td>
<td align="center" valign="middle">-</td>
</tr>
<tr>
<td align="left" valign="middle">Timber stand improvement</td>
<td align="center" valign="middle"><bold>&#x2212;0.37</bold></td>
<td align="center" valign="middle"><bold>&#x2212;0.8</bold></td>
<td align="center" valign="middle"><bold>&#x2212;0.14</bold></td>
<td align="center" valign="middle"><bold>&#x2212;0.41</bold></td>
<td align="center" valign="middle"><bold>&#x2212;0.22</bold></td>
<td align="center" valign="middle"><bold>&#x2212;0.04</bold></td>
<td align="center" valign="middle"><bold>0.79</bold></td>
<td align="center" valign="middle"><bold>&#x2212;3.8</bold></td>
<td align="center" valign="middle">3.91</td>
<td align="center" valign="middle"><bold>&#x2212;2.34</bold></td>
<td align="center" valign="middle">6.22</td>
<td align="center" valign="middle">1.46</td>
</tr>
<tr>
<td align="left" valign="middle">Reduced deforestation</td>
<td align="center" valign="middle"><bold>&#x2212;0.55</bold></td>
<td align="center" valign="middle"><bold>&#x2212;0.73</bold></td>
<td align="center" valign="middle"><bold>&#x2212;0.3</bold></td>
<td align="center" valign="middle"><bold>&#x2212;0.45</bold></td>
<td align="center" valign="middle"><bold>&#x2212;0.3</bold></td>
<td align="center" valign="middle"><bold>&#x2212;0.08</bold></td>
<td align="center" valign="middle"><bold>&#x2212;0.45</bold></td>
<td align="center" valign="middle"><bold>&#x2212;3.67</bold></td>
<td align="center" valign="middle">2.15</td>
<td align="center" valign="middle"><bold>&#x2212;2.37</bold></td>
<td align="center" valign="middle">4.64</td>
<td align="center" valign="middle">1.12</td>
</tr>
<tr>
<td align="left" valign="middle">Reduced diameter-limit-cuts</td>
<td align="center" valign="middle"><bold>&#x2212;0.58</bold></td>
<td align="center" valign="middle"><bold>&#x2212;0.79</bold></td>
<td align="center" valign="middle"><bold>&#x2212;0.27</bold></td>
<td align="center" valign="middle"><bold>&#x2212;0.43</bold></td>
<td align="center" valign="middle"><bold>&#x2212;0.3</bold></td>
<td align="center" valign="middle"><bold>&#x2212;0.09</bold></td>
<td align="center" valign="middle"><bold>&#x2212;0.06</bold></td>
<td align="center" valign="middle"><bold>&#x2212;3.78</bold></td>
<td align="center" valign="middle">2.71</td>
<td align="center" valign="middle"><bold>&#x2212;2.42</bold></td>
<td align="center" valign="middle">4.72</td>
<td align="center" valign="middle">0.61</td>
</tr>
<tr>
<td align="left" valign="middle">Control deer browse</td>
<td align="center" valign="middle"><bold>&#x2212;0.53</bold></td>
<td align="center" valign="middle"><bold>&#x2212;0.79</bold></td>
<td align="center" valign="middle"><bold>&#x2212;0.37</bold></td>
<td align="center" valign="middle"><bold>&#x2212;0.46</bold></td>
<td align="center" valign="middle"><bold>&#x2212;0.35</bold></td>
<td align="center" valign="middle"><bold>&#x2212;0.08</bold></td>
<td align="center" valign="middle"><bold>&#x2212;0.14</bold></td>
<td align="center" valign="middle"><bold>&#x2212;3.85</bold></td>
<td align="center" valign="middle">2.12</td>
<td align="center" valign="middle"><bold>&#x2212;2.54</bold></td>
<td align="center" valign="middle">4.17</td>
<td align="center" valign="middle">0.89</td>
</tr>
<tr>
<td align="left" valign="middle">Silvopasture</td>
<td align="center" valign="middle"><bold>&#x2212;0.73</bold></td>
<td align="center" valign="middle"><bold>&#x2212;0.86</bold></td>
<td align="center" valign="middle"><bold>&#x2212;0.58</bold></td>
<td align="center" valign="middle"><bold>&#x2212;0.51</bold></td>
<td align="center" valign="middle"><bold>&#x2212;0.65</bold></td>
<td align="center" valign="middle"><bold>&#x2212;0.16</bold></td>
<td align="center" valign="middle"><bold>&#x2212;1.16</bold></td>
<td align="center" valign="middle"><bold>&#x2212;4.05</bold></td>
<td align="center" valign="middle">1.33</td>
<td align="center" valign="middle"><bold>&#x2212;2.79</bold></td>
<td align="center" valign="middle">3.82</td>
<td align="center" valign="middle">0.77</td>
</tr>
<tr>
<td align="left" valign="middle">Climate change growth</td>
<td align="center" valign="middle"><bold>&#x2212;0.54</bold></td>
<td align="center" valign="middle"><bold>&#x2212;0.78</bold></td>
<td align="center" valign="middle"><bold>&#x2212;0.28</bold></td>
<td align="center" valign="middle"><bold>&#x2212;0.46</bold></td>
<td align="center" valign="middle"><bold>&#x2212;0.28</bold></td>
<td align="center" valign="middle"><bold>&#x2212;0.06</bold></td>
<td align="center" valign="middle"><bold>&#x2212;0.21</bold></td>
<td align="center" valign="middle"><bold>&#x2212;3.76</bold></td>
<td align="center" valign="middle">2.7</td>
<td align="center" valign="middle"><bold>&#x2212;2.46</bold></td>
<td align="center" valign="middle">5.08</td>
<td align="center" valign="middle">1.17</td>
</tr>
<tr>
<td align="left" valign="middle">Climate change disturbance</td>
<td align="center" valign="middle"><bold>&#x2212;0.34</bold></td>
<td align="center" valign="middle"><bold>&#x2212;0.73</bold></td>
<td align="center" valign="middle">0.07</td>
<td align="center" valign="middle"><bold>&#x2212;0.33</bold></td>
<td align="center" valign="middle">0.11</td>
<td align="center" valign="middle">0.06</td>
<td align="center" valign="middle">0.64</td>
<td align="center" valign="middle"><bold>&#x2212;3.67</bold></td>
<td align="center" valign="middle">3.86</td>
<td align="center" valign="middle"><bold>&#x2212;2.1</bold></td>
<td align="center" valign="middle">6.37</td>
<td align="center" valign="middle">1.57</td>
</tr>
<tr>
<td align="left" valign="middle">No harvest activities</td>
<td align="center" valign="middle"><bold>&#x2212;1.39</bold></td>
<td align="center" valign="middle"><bold>&#x2212;0.27</bold></td>
<td align="center" valign="middle"><bold>&#x2212;1.11</bold></td>
<td align="center" valign="middle"><bold>&#x2212;0.24</bold></td>
<td align="center" valign="middle"><bold>&#x2212;0.58</bold></td>
<td align="center" valign="middle"><bold>&#x2212;0.08</bold></td>
<td align="center" valign="middle"><bold>&#x2212;7.36</bold></td>
<td align="center" valign="middle"><bold>&#x2212;0.85</bold></td>
<td align="center" valign="middle"><bold>&#x2212;5.39</bold></td>
<td align="center" valign="middle"><bold>&#x2212;0.9</bold></td>
<td align="center" valign="middle">0.21</td>
<td align="center" valign="middle">0.34</td>
</tr>
<tr>
<td align="left" valign="middle">Portfolio</td>
<td align="center" valign="middle"><bold>&#x2212;0.92</bold></td>
<td align="center" valign="middle"><bold>&#x2212;0.79</bold></td>
<td align="center" valign="middle"><bold>&#x2212;0.72</bold></td>
<td align="center" valign="middle"><bold>&#x2212;0.58</bold></td>
<td align="center" valign="middle"><bold>&#x2212;0.56</bold></td>
<td align="center" valign="middle"><bold>&#x2212;0.16</bold></td>
<td align="center" valign="middle"><bold>&#x2212;3.75</bold></td>
<td align="center" valign="middle"><bold>&#x2212;3.33</bold></td>
<td align="center" valign="middle"><bold>&#x2212;1.01</bold></td>
<td align="center" valign="middle"><bold>&#x2212;2.89</bold></td>
<td align="center" valign="middle">1.2</td>
<td align="center" valign="middle"><bold>&#x2212;0.13</bold></td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p>Darker shading of each cell signifies higher rates of carbon sequestration whereas positive emissions value are represented in white (i.e., a net carbon source). Negative numbers (bolded) represent carbon removed from the atmosphere (i.e., a net carbon sink). Values do not include substitution or leakage estimation as the alternative management scenarios are not being compared or standardized to the BAU simulation.</p>
</table-wrap-foot>
</table-wrap>
<p>LUC spurred the weakening of the carbon sink from reduced future forest growth and increased post conversion DOM and soil emissions. Based on historical trends, the BAU scenario projects annual net forest loss of approximately 7,000&#x2009;ha&#x2009;yr.<sup>&#x2212;1</sup> in Pennsylvania (0.01% of forest area) and 193&#x2009;ha&#x2009;yr.<sup>&#x2212;1</sup> (0.02% of forest area) in Maryland (<xref ref-type="table" rid="tab3">Table 3</xref>). These trends fluctuated based on future land area eligible for LUC activities, and net annual forest loss decreased in both states throughout the scenario, such that Maryland is projected to reach annual net forest gains of 694&#x2009;ha&#x2009;yr.<sup>&#x2212;1</sup> by 2100 (<xref ref-type="fig" rid="fig4">Figure 4B</xref>) where the switch in net forest loss to gain was primarily driven by a lack of eligible area within the simulation to be deforested due to inputs being entirely prescriptive (i.e., afforestation rates remain constant but deforestation rates decline throughout the simulation). Forestland gradually increased in Maryland helping to maintain and stabilize the net forest C balance by the end of century. Although, LUC emitted an average of +0.12 MMT CO<sub>2</sub>e yr.<sup>&#x2212;1</sup> in Maryland and&#x2009;+0.49 MMT CO<sub>2</sub>e yr.<sup>&#x2212;1</sup> in Pennsylvania from 2020 to 2100.</p>
<p>Emissions associated with biotic and abiotic disturbances including fire, wind throw events, and disease and insect outbreaks represented an annual average loss of +0.004 MMT CO<sub>2</sub>e yr.<sup>&#x2212;1</sup> in Maryland and&#x2009;+0.057 MMT CO<sub>2</sub>e yr.<sup>&#x2212;1</sup> in Pennsylvania from 2020 to 2100. These emissions and their underlying causes, while significant for forest dynamics, lacked the same level of impact on net forest ecosystem C balance as LUC and harvest activities. Our BAU results did not account for fossil fuel emissions from logging operations and transportation of fiber materials. Following international reporting guidelines, all emissions from fossil fuel uses were reported outside the Land-use and forestry sector. Although, fossil fuel emissions for both wood products and other products are considered in the estimation of substitution benefits.</p>
</sec>
<sec id="sec10">
<label>3.1.2.</label>
<title>BAU harvested wood product C balance</title>
<p>HWPs provided additional carbon storage in both Maryland and Pennsylvania, as carbon inputs into the HWP sector (via harvest) outpaced emissions from current HWPs in use and inherited HWPs (those already in use at the start of the BAU scenario in 2007) in use or in landfills. From 2020 to 2100, Maryland stored an additional 11.57 MMT C in HWPs (<xref ref-type="fig" rid="fig5">Figure 5A</xref>) while Pennsylvania stored an additional 72.46 MMT C (<xref ref-type="fig" rid="fig5">Figure 5B</xref>). Most harvested wood was retained for domestic commodity production and use, with roundwood exports consisting of less than 2% of harvested hardwood logs in the BAU scenario (<xref rid="SM1" ref-type="supplementary-material">Supplementary Figure S4</xref>). Pennsylvania utilized the majority of hardwood harvest as sawlogs, while Maryland utilized hardwood for pulpwood; most softwood logs were used for pulpwood in both states. Based on average mill efficiencies, just 51% of harvested wood material in Maryland and 61% in Pennsylvania were utilized as wood product commodities; the remainder was converted to mill residue leftover from commodity production. Primarily mill residues were used for pulpwood or other composite products, though roughly 8% and 12% were used for bioenergy in Maryland and Pennsylvania, respectively.</p>
<fig position="float" id="fig5">
<label>Figure 5</label>
<caption>
<p>BAU scenario HWP carbon stocks by product stream (MMT C), 2007&#x2013;2100, for <bold>(A)</bold> Maryland and <bold>(B)</bold> Pennsylvania. Inherited stocks represent stocks of products made from wood harvested already in use prior to the start of simulation runs.</p>
</caption>
<graphic xlink:href="ffgc-06-1259010-g005.tif"/>
</fig>
<p>Product half-lives and retirement strongly influenced the amount of C stored in or lost from HWPs. Longer-lived wood products, such as construction lumber, plywood, and panels, accounted for a significant proportion of the C stored in HWPs in current use. Products with shorter half-lives, such as pulp, paper, or bioenergy feedstocks, provided a relatively more fleeting C storage pool. Recycling of both sawlog (17.1% recycled) and pulpwood (68.2% recycled) products expanded functional lifespans and keeps C circulating in use, rather than being retired to landfills or energy recovery (<xref rid="SM1" ref-type="supplementary-material">Supplementary Figure S4</xref>). Landfills contained a significant pool of C from both inherited and new HWP stocks due to the slow rate of decomposition of wood within landfills and high rates of landfill HWP disposal. However, the diversion of material away from landfills represents a potentially undervalued and significant additional substitution benefit that is currently disposed of as waste in landfills. Increasingly evidence suggests that greater efficiency in wood product use by reducing material deposited in landfills can significantly boost mitigation potential through substitution (<xref ref-type="bibr" rid="ref80">Hudiburg et al., 2019</xref>).</p>
</sec>
<sec id="sec11">
<label>3.1.3.</label>
<title>Total BAU net C balance</title>
<p>When assessing the net C balance of the forest ecosystem and HWP pools jointly (<xref ref-type="fig" rid="fig6">Figure 6</xref>), increased carbon stocks in the HWP sector enhanced the strength of the total C sink in both states. The net C balance of forests and the forest sector in Maryland reached a cumulative C sink of &#x2212;38.42 MMT CO<sub>2</sub>e from 2007 to 2100 (an additional &#x2212;12.46 MMT CO<sub>2</sub>e stored over the forest ecosystem alone). In the case of Pennsylvania, forest and HWPs lengthened the time the state remained a net forest C sink under BAU trends (through 2039 rather than 2025) and reduced the state&#x2019;s cumulative emissions to 214.97 MMT CO<sub>2</sub>e from 2020&#x2013;2100 (a&#x2009;&#x2212;&#x2009;91.15 MMT CO<sub>2</sub>e enhancement over forest ecosystem emissions alone). The gradual decline in harvest rates resulted in less C stored in HWPs, ultimately leading to an increase in net emissions because emissions from HWP remained constant while HWP inputs decreased.</p>
<fig position="float" id="fig6">
<label>Figure 6</label>
<caption>
<p>Annual net carbon balance for BAU simulations (MMT CO<sub>2</sub>e). Net carbon balance includes net ecosystem sequestration, carbon transfers to HWP, and emissions from wood products in use and in landfills. Negative values denote a removal of CO<sub>2</sub>e from the atmosphere (a net carbon sink).</p>
</caption>
<graphic xlink:href="ffgc-06-1259010-g006.tif"/>
</fig>
</sec>
</sec>
<sec id="sec12">
<label>3.2.</label>
<title>Mitigation potential of alternative forest management and wood utilization scenarios</title>
<p>Several scenarios exhibited similar trends in both Maryland and Pennsylvania. The <italic>portfolio</italic> and some <italic>tree planting</italic> scenarios outperformed all other scenarios in terms of sequestering additional C (<xref ref-type="fig" rid="fig7">Figure 7</xref>). Most scenarios focusing on <italic>maintaining forest health, structure, and regeneration</italic> showed increased mitigation potential relative to BAU in both the forest ecosystem and HWPs. <italic>Altered rotations</italic> exhibited trade-offs in mitigation potential, increasing carbon storage on forestlands and (temporarily) decreasing carbon in HWP with a subsequent decline in substitution benefits until forest stands equalized under longer rotation lengths. Not all scenarios yielded additional mitigation potential; certain practices such as <italic>timber stand improvements</italic> treatments reduced C storage and sequestration relative to BAU as anticipated due to increased thinning and prescribed fire practices, which released C from the forest ecosystem in favor of forest health outcomes. However, the additional pulpwood removed comprised predominantly of pulp and paper products provided minimal additional substitution benefits due to the short half-life and quick retirement of such products.</p>
<fig position="float" id="fig7">
<label>Figure 7</label>
<caption>
<p>Cumulative carbon balance (MMT CO<sub>2</sub>e) for <bold>(A)</bold> Maryland and <bold>(B)</bold> Pennsylvania. Cumulative carbon balance includes net forest ecosystem emissions and net forest products sector emissions, including leakage and substitution benefits. Negative values denote additional carbon sequestration as compared to the BAU simulation whereas positive values denote lower rates of carbon sequestration as compared to the BAU simulation regardless of the absolute values (i.e., net carbon sink or source). Legend ordered by scenario in year 2100. For more detailed plots of cumulative carbon balance split by management practice type, see <xref rid="SM1" ref-type="supplementary-material">Supplementary material 1.5</xref>.</p>
</caption>
<graphic xlink:href="ffgc-06-1259010-g007.tif"/>
</fig>
<sec id="sec13">
<label>3.2.1.</label>
<title>Altered rotations</title>
<p>Our results show in <xref ref-type="table" rid="tab4">Table 4</xref> that mitigation potential in the <italic>altered rotations</italic> scenarios initially increased C sequestration in the forest ecosystem and slightly decreased in HWP C. This decline in additional mitigation potential was driven by increased net HWP emissions caused by the initial deferred harvests, leakage from reduced rates of harvest, negative substitution benefits due to decreased wood availability (<xref ref-type="fig" rid="fig8">Figure 8</xref>), and loss of forest productivity due to age-related decline (<xref rid="SM1" ref-type="supplementary-material">Supplementary Figures S10</xref>, <xref rid="SM1" ref-type="supplementary-material">S11</xref>). Overall, results showed a net C balance of &#x2212;0.74 MMT CO<sub>2</sub>e yr.<sup>&#x2212;1</sup> and &#x2212;3.19 MMT CO<sub>2</sub>e yr.<sup>&#x2212;1</sup> sequestered from 2020 to 2029 in Maryland and Pennsylvania, respectively (<xref ref-type="table" rid="tab4">Table 4</xref>). These increased ecosystem sequestration rates stagnated between 2030 and 2049 and returned to near BAU levels from 2050 to 2100. Cumulatively, <italic>altered rotations</italic> captured additional carbon relative to BAU at a decreasing rate, moving from &#x2212;3.52 MMT CO<sub>2</sub>e additionally sequestered in 2050 to &#x2212;1.68 MMT CO<sub>2</sub>e in 2100 for Maryland and from an additional &#x2212;12.02 MMT CO<sub>2</sub>e sequestered in 2050 to &#x2212;9.96 MMT CO<sub>2</sub>e in 2100 for Pennsylvania (<xref ref-type="fig" rid="fig7">Figure 7</xref>). Inversely, the <italic>altered rotation (pine alt)</italic> scenario in Maryland which increased the rotation age of loblolly pine (<italic>Pinus taeda</italic>) dominated forests an additional 20&#x2009;years from the primary <italic>altered rotation</italic> scenario (now 80&#x2009;years as opposed to 60&#x2009;years) yielded a cumulative positive emission of +1.32 MMT CO<sub>2</sub>e as compared to BAU by 2100 (<xref ref-type="fig" rid="fig8">Figure 8</xref>). Driven largely by declining forest productivity and increased leakage rates. Shorter-lived pine species such as loblolly pine accrued carbon quickly during the first few decades of growth but rapidly declined in MAI soon after, limiting future additional C accrual. Overall, <italic>altered rotations</italic> increased carbon stocks within forests, but age-dependent declines in MAI dampened future sequestration potential.</p>
<fig position="float" id="fig8">
<label>Figure 8</label>
<caption>
<p>Cumulative mitigation potential by component in 2030, 2050, 2100 for <bold>(A&#x2013;C)</bold> Maryland and <bold>(D&#x2013;F)</bold> Pennsylvania. Red dots represent net carbon balance or the sum of all components for each scenario. Negative values denote additional carbon sequestered compared to the BAU simulation. Scenarios ordered by net C balance in year 2100 except for bioenergy scenarios. Y-axes across each panel are not the same.</p>
</caption>
<graphic xlink:href="ffgc-06-1259010-g008.tif"/>
</fig>
</sec>
<sec id="sec14">
<label>3.2.2.</label>
<title>Tree planting</title>
<p>All <italic>tree planting</italic> scenarios provided increased mitigation potential relative to BAU, proportional to the extent of area planted and the duration of planting. The <italic>afforestation GGRA 2030</italic> scenario, the most modest tree planting scenario, provided only small gains of &#x2212;2.13 MMT CO<sub>2</sub>e and&#x2009;&#x2212;9.27 MMT CO<sub>2</sub>e additionally sequestered by 2100 in Maryland and Pennsylvania, respectively. On the other hand, the <italic>afforestation scale-up 2030</italic> and <italic>afforestation scale-up 2050</italic> scenarios resulted in additional mitigation potential of &#x2212;4.80 MMT CO<sub>2</sub>e and&#x2009;&#x2212;18.74 MMT CO<sub>2</sub>e, respectively, in Maryland and&#x2009;&#x2212;31.54 MMT CO<sub>2</sub>e and&#x2009;&#x2212;201.70 MMT CO<sub>2</sub>e, in Pennsylvania by 2100 (<xref ref-type="fig" rid="fig8">Figure 8</xref>). These <italic>scale-up</italic> scenarios assumed tree planting at 10x the rate of the <italic>GGRA</italic> scenarios, signaling that larger area targets and sustained timelines for tree planting realized proportionally larger C benefits. The afforestation scenarios started showing increased mitigation potential within the first 10 to 20&#x2009;years. However, dependent upon the amount and duration of planting, these scenarios exhibited an increase in the rate of mitigation potential as the simulation progressed as compared to BAU driven by stands planted earlier in the simulation entering age-classes that maximized MAI. Lastly, the <italic>Silvopasture</italic> scenario, which modeled the conversion of agricultural land to low density treed systems for the entirety of the simulation showed strong mitigation potential in both states, with an additional &#x2212;26.0 MMT CO<sub>2</sub>e sequestered in Maryland and an additional &#x2212;113.73 MMT CO<sub>2</sub>e sequestered in Pennsylvania by 2100 (<xref ref-type="fig" rid="fig8">Figure 8</xref>).</p>
</sec>
<sec id="sec15">
<label>3.2.3.</label>
<title>Maintaining forest health, structure, and regeneration</title>
<p>All management scenarios focused on <italic>maintaining forest health, structure, and regeneration</italic> demonstrated better mitigation potential than BAU, except for the <italic>timber stand improvement</italic> (<italic>TSI</italic>) scenario (<xref ref-type="fig" rid="fig8">Figure 8</xref>). The loss of carbon in the <italic>TSI</italic> scenario for both Maryland and Pennsylvania resulted from higher volume of low-diameter timber being transferred to the HWP sector from increased cuttings, and larger forest ecosystem emissions from additional prescribed burns resulting in lower carbon stored in dead organic matter and deadwood C pools. However, the rate of carbon loss in this scenario was temporary as C sequestration accelerated in the latter half of the century from increased growth rates driven by thinnings. Additionally, the scenario does not quantify the reduced risk for carbon loss from catastrophic disturbance or other additional benefits provided from increasing controlled burns ultimately protecting carbon storage while promoting structural and functional diversity. The <italic>control deer browse, restocking, reduced diameter-limit-cuts (DLC)</italic> scenarios, which maintained or enhanced forest health through increased natural or artificial regeneration, provided an increase in C accumulation compared to BAU (<xref ref-type="fig" rid="fig7">Figure 7</xref>). In Maryland, the <italic>control deer browse</italic>, <italic>restocking</italic>, and <italic>reduced DLC</italic> scenarios cumulatively sequestered an additional &#x2212;5.61 MMT CO<sub>2</sub>e, &#x2212;1.9 MMT CO<sub>2</sub>e, and&#x2009;&#x2212;3.86 MMT CO<sub>2</sub>e by 2100 relative to BAU, whereas Pennsylvania realized an additional &#x2212;66.91 MMT CO<sub>2</sub>e, &#x2212;18.20 MMT CO<sub>2</sub>e, and&#x2009;&#x2212;81.56 MMT CO<sub>2</sub>e by 2100 from the same scenarios (<xref ref-type="fig" rid="fig7">Figure 7</xref>). The <italic>restocking 2050</italic> scenario in Maryland cumulatively sequestered an additional &#x2212;2.58 MMT CO<sub>2</sub>e suggesting that 20-year continuation restocking practices provides an additional &#x2212;0.68 MMT CO<sub>2</sub>e mitigation potential. The mitigation potential of these scenarios increased through time, especially after 2070, due to newly established cohorts entering age-classes with higher growth rates (<xref rid="SM1" ref-type="supplementary-material">Supplementary Figures S10</xref>, <xref rid="SM1" ref-type="supplementary-material">S11</xref>).</p>
</sec>
<sec id="sec16">
<label>3.2.4.</label>
<title>Climate change impacts</title>
<p>The <italic>climate change disturbance</italic> and <italic>climate change growth</italic> scenarios explored the effects of future climate states on carbon storage and sequestration. Constructed using estimates of changes to future tree growth throughout the 21st century under RCP 8.5 (<xref ref-type="bibr" rid="ref105">Matala et al., 2005</xref>; <xref ref-type="bibr" rid="ref51">Duveneck and Scheller, 2015</xref>; <xref ref-type="bibr" rid="ref191">Wang et al., 2017</xref>; <xref ref-type="bibr" rid="ref27">Butler-Leopold et al., 2018</xref>; <xref rid="SM1" ref-type="supplementary-material">Supplementary Table S7</xref>), the <italic>climate change growth</italic> scenario provided minimal additional sequestration potential relative, capturing &#x2212;0.59 MMT CO<sub>2</sub>e over BAU in Maryland and&#x2009;&#x2212;3.98 MMT CO<sub>2</sub>e in Pennsylvania by 2100 (<xref ref-type="fig" rid="fig7">Figure 7</xref>). The <italic>climate change disturbance</italic> scenario resulted in decreased C sequestered relative to BAU, +31.05 MMT CO<sub>2</sub>e in Maryland and&#x2009;+97.34 MMT CO<sub>2</sub>e in Pennsylvania by 2100, caused by increased areas and intensities of natural disturbances such as fire or insect and disease outbreaks (<xref ref-type="bibr" rid="ref40">Del Genio et al., 2007</xref>; <xref ref-type="bibr" rid="ref72">Guyette et al., 2014</xref>; <xref ref-type="bibr" rid="ref102">Lucash et al., 2017</xref>, <xref ref-type="bibr" rid="ref103">2018</xref>; <xref ref-type="bibr" rid="ref27">Butler-Leopold et al., 2018</xref>) which led to greater direct emissions from combustion and dead organic matter decay.</p>
</sec>
<sec id="sec17">
<label>3.2.5.</label>
<title>No harvest activities</title>
<p>The <italic>no harvest activities</italic> scenario quantified future growth dynamics within the forest and effects on the HWP sector if all harvest and thinning activities were halted, but other management activities such as prescribed fire treatments continued. Initially, ecosystem C accumulation in the <italic>no harvest activities</italic> scenario outpaced all other scenarios since no C was removed from harvest (<xref ref-type="table" rid="tab4">Table 4</xref>). However, annual productivity tapered off into the latter half of simulation period due to declines in productivity from age-related successional patterns and processes. While the forest ecosystem sequestered and stored a significant amount of additional carbon as compared to BAU, this scenario resulted in large net emissions from the HWP sector (due to continued emissions from retired products far surpassing C input), leakage, and negative substitution benefits, driven by an assumed inelastic demand for HWPs requiring material imports from other regions to satisfy continued timber demands (<xref ref-type="fig" rid="fig8">Figure 8</xref>). Ultimately, the sector-wide mitigation potential of <italic>no harvest activities</italic> resulted in additional emissions of +30.32 MMT CO<sub>2</sub>e in Maryland and&#x2009;+44.65 MMT CO<sub>2</sub>e in Pennsylvania by 2100 compared with BAU (<xref ref-type="fig" rid="fig7">Figure 7</xref>). This scenario highlights the influence that forest growth has on carbon sinks and the role that wood products have on sector-wide emissions. The decreased wood utilization from trees grown within Maryland and Pennsylvania in this scenario fundamentally altered carbon storage in HWPs, leading to near immediate increases in net HWP emissions; leakage and lack of substitution benefits ultimately outpaced any C benefits accumulated in the forest ecosystem.</p>
</sec>
<sec id="sec18">
<label>3.2.6.</label>
<title>Bioenergy</title>
<p>Both <italic>bioenergy</italic> scenarios had little to no effect on state-level carbon emissions relative to BAU (<xref ref-type="fig" rid="fig8">Figure 8</xref>). The additional 10% of mill residues diverted from pulpwood streams to bioenergy uses in <italic>bioenergy 1</italic> and additional 10% of all mill residues diverted to bioenergy uses in <italic>bioenergy 2</italic> each contributed less than &#x2212;0.03 MMT CO<sub>2</sub>e in mitigation for both states by 2100. The scale at which mill residues were diverted did not yield significant differences on net emissions in either Maryland or Pennsylvania, and substitution benefits for the assumed displacement of energy coming from other fossil-fuel based energy sources were minimal (in part due to their application through 2040, to assess clean energy goals for both states). Diverting material from other primary production, secondary production, or harvest residues for bioenergy was not considered but could potentially provide substantial substitution benefits through increasing wood utilization efficiencies and from reductions to more fossil fuel intensive sources of energy such as coal or gas (<xref ref-type="bibr" rid="ref133">Petersson et al., 2022</xref>). Additionally, substitution benefits provided from bioenergy could potentially be further boosted from incorporating carbon capture and storage technologies reducing emissions released to the atmosphere from the combustion process (<xref ref-type="bibr" rid="ref162">Shahbaz et al., 2021</xref>).</p>
</sec>
<sec id="sec19">
<label>3.2.7.</label>
<title>Portfolio</title>
<p>The <italic>portfolio</italic> scenario modeled a suite of concurrent alternative management practices (<xref ref-type="table" rid="tab3">Table 3</xref>) to understand the combined effect of multiple practices on forest ecosystem and HWP C balances. The <italic>portfolio</italic> provided the best mitigation potential of all scenarios, sequestering an additional &#x2212;25.93 MMT CO<sub>2</sub>e in Maryland and&#x2009;&#x2212;264.61 MMT CO<sub>2</sub>e in Pennsylvania by 2100 (<xref ref-type="fig" rid="fig7">Figure 7</xref>). The magnitude of additional C sequestration from the <italic>portfolio</italic> outpaced other scenarios and increased steadily relative to BAU, driven in part by management practices focused on forest health, structure, and regeneration. This scenario presents the best opportunity for minimizing forest carbon sink declines or, as in the case of Pennsylvania, prolonging the projected switch from net C sink to source. The <italic>portfolio</italic> scenario was the only scenario for Pennsylvania that remained a net C sink until 2100 (<xref ref-type="table" rid="tab4">Table 4</xref>) when considering both the forest ecosystem and HWP. This effect was partly driven by mitigation potential from the HWP sector, as the forest ecosystem in Pennsylvania still ultimately became a net C source by 2100. The <italic>portfolio</italic> scenario increased the forest C sink by 29% in Maryland 38% in Pennsylvania by 2030.</p>
</sec>
</sec>
</sec>
<sec sec-type="discussions" id="sec20">
<label>4.</label>
<title>Discussion</title>
<sec id="sec21">
<label>4.1.</label>
<title>Forest trends and mitigation potential</title>
<p>Results from the BAU scenario suggest that forests in Maryland and Pennsylvania are projected to weaken as a net C sink throughout the 21st century and, in Pennsylvania, ultimately become a net C source. Several alternative management scenarios have the potential for additional mitigation benefits, including increasing or maintaining forest area, increasing the ability of forests to regenerate, encouraging sustainable harvesting practices, altering rotations, supporting sustainable wood utilization, and preparing for future climate change impacts (<xref ref-type="table" rid="tab5">Table 5</xref>).</p>
<table-wrap position="float" id="tab5">
<label>Table 5</label>
<caption>
<p>Climate-smart forest sector pathways to enhance forest carbon sinks in support of net-zero emission goals.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top">Activity</th>
<th align="left" valign="top">Outcome</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top">Maintain and increase forest area</td>
<td align="left" valign="top">Maintaining or increasing current forest area in part ensures future potential for maintaining current stocks in forest C pools and maximizing carbon sequestration in forest ecosystems without perturbing or altering timber demand. Additionally, increasing the area of forestland can provide reduced pressures to meet future timber demands by ensuring forests remain in operation and freeing up priority areas for conservation.</td>
</tr>
<tr>
<td align="left" valign="top">Encourage sustainable harvesting practices and balancing age-class structures</td>
<td align="left" valign="top">Future C sinks are dependent upon the continued regeneration and recruitment of forests following disturbance or mortality. Limiting the amount of unsustainable harvest practices such as diameter-limit-cuts by encouraging climate-smart management practices boosts future carbon sink potential in forest ecosystems. Controlling biological agents such as herbivores and targeting interfering vegetation further decreases regeneration pressures. Further, the balancing of age-class structures reduces both the negative legacy effects of previous management and risk of carbon loss from disturbance while ensuring a host of sustainable ecosystem services such as balancing timber supply with demand, habitat creation, C sequestration, and C storage.</td>
</tr>
<tr>
<td align="left" valign="top">Increase forest health, complexity, and regeneration</td>
<td align="left" valign="top">Forest health focused management allows for maximization of C sequestration and storage while maintaining other vital supporting and regulating ecosystem services. Healthy forests are more resilient and possess better capacity to adapt to climate change. Healthier forests possess increased adaptive capacity to better cope with or respond to given pressures such as climate change resulting in increased resiliency.</td>
</tr>
<tr>
<td align="left" valign="top">Extend rotations lengths</td>
<td align="left" valign="top">Extending rotation lengths to maximize annual growth and increase carbons storage without risking the loss of ecosystem services provides a potential cost-effective practice to increase forest mitigation potential.</td>
</tr>
<tr>
<td align="left" valign="top">Increase wood utilization</td>
<td align="left" valign="top">The continued development of new and novel wood products, increasing product half-lives, and improved re-use and recycling extends both the time carbon is stored in a product and the amount of carbon stored. This effect further boosts substitution benefits of a wood product that replaces more carbon intensive products such as steel and concrete construction.</td>
</tr>
<tr>
<td align="left" valign="top">Prepare for future climate change impacts</td>
<td align="left" valign="top">Future climate change impacts, especially more frequent and more severe natural disturbances, can destabilize the existing forest carbon sink. Preparing for and preempting the spread of pests, diseases, and wildfires can protect forest carbon stocks and ecosystem health. Prioritizing management practices that both mitigate risk and help ecosystems adapt provides an essential pathway to help nurture and prepare forests for climate change.</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>Timber harvest remains the most extensive disturbance across eastern US forestlands in terms of both area and C impacts (<xref ref-type="bibr" rid="ref196">Williams et al., 2016</xref>; <xref ref-type="bibr" rid="ref127">Oswalt et al., 2019</xref>). Beginning in the 20th century and continued into the 21st century, the forest C sink primarily remained strong due to forest recovery or regrowth from previous harvests beginning in the mid-19th century (<xref ref-type="bibr" rid="ref16">Birdsey et al., 2006</xref>; <xref ref-type="bibr" rid="ref197">Woodall et al., 2015</xref>). Thus, the projected weakening trend in the forest C sink is driven in part by older forests becoming less productive with age (<xref ref-type="bibr" rid="ref155">Ryan et al., 2010</xref>), which is well documented across US forests (<xref ref-type="bibr" rid="ref154">Ryan et al., 1997</xref>; <xref ref-type="bibr" rid="ref15">Binkley et al., 2002</xref>; <xref ref-type="bibr" rid="ref142">Powers et al., 2011</xref>; <xref ref-type="bibr" rid="ref47">Dugan et al., 2017</xref>; <xref ref-type="bibr" rid="ref38">Curtis and Gough, 2018</xref>). However, our results strongly suggest that decisions around forest management, wood use, and policy can significantly alter and potentially improve the role of forests as C sinks in the future. Specifically, our results reinforce that forests can continue to provide a sustainable amount of wood products without hampering the mitigative potential of forests.</p>
<p>BAU results emphasize an important tradeoff between higher carbon stocks in older forests and diminishing rates of C sequestration as forest age (<xref ref-type="bibr" rid="ref73">Harmon, 2001</xref>; <xref ref-type="bibr" rid="ref35">Coomes et al., 2012</xref>; <xref ref-type="bibr" rid="ref199">Yuan et al., 2019</xref>). However, the <italic>portfolio</italic> scenario supports that management can optimize the benefits received from a host of ecosystem services (<xref ref-type="bibr" rid="ref39">D&#x2019;Amato et al., 2011</xref>; <xref ref-type="bibr" rid="ref20">Bradford and D&#x2019;Amato, 2012</xref>; <xref ref-type="bibr" rid="ref21">Bradford et al., 2013</xref>; <xref ref-type="bibr" rid="ref28">Catanzaro and D&#x2019;Amato, 2019</xref>; <xref ref-type="bibr" rid="ref101">Littlefield and D&#x2019;Amato, 2022</xref>) such as C sequestration in forests recovering from disturbance (<xref ref-type="bibr" rid="ref201">Zhao et al., 2022</xref>), C storage in older forests (<xref ref-type="bibr" rid="ref106">McGarvey et al., 2015</xref>; <xref ref-type="bibr" rid="ref38">Curtis and Gough, 2018</xref>), and a steady stream of timber that stores additional carbon in HWP (<xref ref-type="bibr" rid="ref167">Skog, 2008</xref>; <xref ref-type="bibr" rid="ref107">McKinley et al., 2011</xref>) and drive the forest bioeconomy (<xref ref-type="bibr" rid="ref173">Sohngen et al., 1999</xref>; <xref ref-type="bibr" rid="ref143">Puddister et al., 2011</xref>; <xref ref-type="bibr" rid="ref5">Antikainen et al., 2017</xref>). The cumulative mitigation potential realized by the <italic>portfolio</italic> scenario demonstrates the power of coordinated climate-smart forestry action, showing that the C benefits accumulated from certain practices can offset potential C losses from other management activities. The <italic>portfolio</italic> scenario results also suggest more complex interactions between management practices because contributions of some mitigation actions are not additive.</p>
<p>Results from the <italic>no harvest activities</italic> scenario emphasize the importance of quantifying emissions from the forest products sector. This scenario quickly increases sink strength in the forest ecosystem in both states but is accompanied by a substantial increase in emissions compared to BAU, driven by net emissions from HWPs, substitution, and leakage. Ultimately, the <italic>no harvest activities</italic> scenario performs second or third lowest in both states. This scenario signifies an important trade-off between immediate sequestration potential and future sequestration potential, ignoring the larger effects on local- to regional-economies (<xref ref-type="bibr" rid="ref5">Antikainen et al., 2017</xref>) and potential carbon loss from increased disturbance risk associated with older forests (<xref ref-type="bibr" rid="ref94">Kurz et al., 2008</xref>). As demonstrated with increased substitution emissions, the lack of timber supply forces other sectors (particularly construction) to increase use of non-wood materials such as concrete and steel, which have greater embodied emissions, significantly impeding GHG emission targets (<xref ref-type="bibr" rid="ref67">Geng et al., 2017</xref>; <xref ref-type="bibr" rid="ref75">Hildebrandt et al., 2017</xref>).</p>
<p>Balancing trade-offs and opportunities by managing forest landscapes as a heterogeneous patchwork provides a potential pathway to ensure forest ecosystems remain future carbon sinks (<xref ref-type="bibr" rid="ref193">Wear and Coulston, 2015</xref>) while optimizing the co-benefits received from forests varying by age, structural complexity, and management goals (<xref ref-type="bibr" rid="ref121">Nevins et al., 2021</xref>). These co-benefits include C storage and sequestration, habitat creation, reduced risk of disturbance, and enhanced resilience and adaptive capacity from both stand- to landscape-level management goals (<xref ref-type="bibr" rid="ref101">Littlefield and D&#x2019;Amato, 2022</xref>) as well as optimizing both short- and long-term mitigation potential (<xref ref-type="bibr" rid="ref133">Petersson et al., 2022</xref>; <xref ref-type="bibr" rid="ref157">Schulze et al., 2022</xref>). Specific to the context of Maryland and Pennsylvania, particular emphasis should be placed on forest regeneration following disturbances to ensure a strong future C sink, demonstrated by the scenarios in the <italic>maintaining forest health, structure, and regeneration</italic> category. The rate at which forests recover from disturbance is a strong driver of future forest C sink strength (<xref ref-type="bibr" rid="ref38">Curtis and Gough, 2018</xref>; <xref ref-type="bibr" rid="ref132">Peichl et al., 2022</xref>) in addition to providing valuable timber resources.</p>
<p>Protecting and encouraging natural regeneration is another key strategy for promoting forest diversity, in terms of age classes, species composition, and stand structure. Restocking efforts can promote a diversity of locally adapted species that are competitive under future climate conditions which, vary in mature size, shade tolerance, and canopy dominance as well as wood densities and hydrological strategies increasing forest resilience (<xref ref-type="bibr" rid="ref62">Folke et al., 2004</xref>; <xref ref-type="bibr" rid="ref159">Seidl et al., 2014</xref>; <xref ref-type="bibr" rid="ref4">Anderegg et al., 2018</xref>). In addition to promising C gains in both the <italic>restocking and control deer browse</italic> scenarios, these efforts to promote increased biodiversity and structural complexity of forests also reduce disease and insect risk, further protecting future C storage and sequestration potential (<xref ref-type="bibr" rid="ref160">Seidl et al., 2016</xref>, <xref ref-type="bibr" rid="ref161">2017</xref>). Ecosystem sequestration increases in the <italic>restocking</italic> scenario in the latter half of the century driven by maturing stands that have been restocked; however, the impact is not particularly significant due to a modest amount of forest stands targeted as restocking. Although <italic>control deer browse and restocking</italic> scenarios may be cost prohibitive for some, their expected C gains support these practices as a key tool for ensuring future forest productivity (<xref ref-type="bibr" rid="ref85">Keefe et al., 2012</xref>; <xref ref-type="bibr" rid="ref25">Buma and Wessman, 2013</xref>; <xref ref-type="bibr" rid="ref28">Catanzaro and D&#x2019;Amato, 2019</xref>; <xref ref-type="bibr" rid="ref42">Dey et al., 2019</xref>).</p>
<p>The majority of forestland in the eastern US is privately held, with high potential for climate mitigation due to high percentages of working forestlands (<xref ref-type="bibr" rid="ref196">Williams et al., 2016</xref>; <xref ref-type="bibr" rid="ref127">Oswalt et al., 2019</xref>). Forest management planning and behavior on private lands to intentionally incorporate climate-smart management actions have strong potential for enhancing C mitigation, as demonstrated by the <italic>reduced DLC, control deer browse,</italic> and <italic>restocking</italic> results, while providing additional adaptation benefits (<xref ref-type="bibr" rid="ref87">K&#x00F6;hl et al., 2010</xref>; <xref ref-type="bibr" rid="ref95">Lafond et al., 2014</xref>; <xref ref-type="bibr" rid="ref97">Lesser et al., 2019</xref>). However, significant uncertainties remain around forest policies that discourage harvesting or encourage lengthening rotation ages and their potential long-term effect on climate mitigation potential (<xref ref-type="bibr" rid="ref002">Huntington et al., 2019</xref>). Ideally, policies should target not just management but the entire forest sector creating more flexibility to enhance possible forest outcomes (<xref ref-type="bibr" rid="ref166">Sjolie et al., 2013</xref>). Potential policy effects on future investment in forest resources signals an important tradeoff where forest policy strategies could potentially incentivize continued investment in climate-smart activities or inversely, disincentive future investments (<xref ref-type="bibr" rid="ref141">Pohjola et al., 2018</xref>). The relevancy and applications of these policies could affect both the rate and magnitude of future forest investments as well as discourage future harvests from extending rotations (<xref ref-type="bibr" rid="ref172">Sohngen and Brown, 2011</xref>) potentially impeding future investments (<xref ref-type="bibr" rid="ref150">Roberge et al., 2016</xref>). Where, as demonstrated by the <italic>afforestation</italic>, <italic>reduced deforestation</italic>, and <italic>silvopasture</italic> scenarios, increasing or maintaining forest extent, especially on private forestlands, remains one of the most cost effective and viable options to increasing C stocks and sequestration potential at the regional scale in the eastern US (<xref ref-type="bibr" rid="ref28">Catanzaro and D&#x2019;Amato, 2019</xref>; <xref ref-type="bibr" rid="ref44">Doelman et al., 2020</xref>). This not only strengthens forest C sinks but has the additional benefit of reducing the timber demand on other forestlands, freeing up forests for a variety of both passive and active management approaches. Ultimately, this protects forestland by ensuring sufficient forests remain in operation to meet current and future wood demands while allowing landowners and managers to set aside areas of high priority for conservation (<xref ref-type="bibr" rid="ref140">Pirard et al., 2016</xref>). The current decline in forest area only increases pressures on forests to meeting growing timber needs in addition to other essential supporting and regulating services (<xref ref-type="bibr" rid="ref83">Jurgensen et al., 2014</xref>).</p>
<p>The allocation of forestland to various management goals and practices, such as bifurcating forests into ecological reserves and high productivity plantations based on site-specific considerations, provides a potential way to balance ecosystem service trade-offs and maximize the co-benefits humans rely on from forests (<xref ref-type="bibr" rid="ref20">Bradford and D&#x2019;Amato, 2012</xref>; <xref ref-type="bibr" rid="ref28">Catanzaro and D&#x2019;Amato, 2019</xref>). However, rarely is the delineation of forestlands into a binary paradigm of reserved lands vs. working lands easy or necessarily appropriate, considering the complex relationships between forest owner decision making, active and passive management strategies, legacies of disturbance, ecological complexity, variation in the vulnerability of sites and species to the projected impacts of climate change, and related policy implications. For example, areas of high risk to carbon loss from disturbance can be targeted for <italic>timber stand improvement</italic> practices to ensure carbon storage and stability into the future (<xref ref-type="bibr" rid="ref7">Bachelet et al., 2015</xref>). Alternatively, areas of low forest productivity and regeneration can be targeted for <italic>restocking</italic> through enrichment plantings to boost both sequestration rates and future timber supply (<xref ref-type="bibr" rid="ref126">Ontl et al., 2020</xref>) in part reducing timber demand of forests of higher ecological complexity and biodiversity (<xref ref-type="bibr" rid="ref86">K&#x00F6;hl et al., 2020</xref>).</p>
<p>Balancing the trade-off between the current C storage and future C sequestration in the ecosystem relies primarily on relationships between growth, harvest removals, and recovery from disturbance, which are dependent upon both current and past legacies of management on forest structure and species composition driven by landowner goals (<xref ref-type="bibr" rid="ref159">Seidl et al., 2014</xref>). Therefore, there is no one-size-fits-all approach to forest management for meeting carbon-related goals (<xref ref-type="bibr" rid="ref28">Catanzaro and D&#x2019;Amato, 2019</xref>). The preferred approach for any forest will vary on a case-by-case basis and be determined by climate implications, site-specific considerations including risks from natural disturbances, and forest owner values (<xref ref-type="bibr" rid="ref57">Fahey et al., 2010</xref>; <xref ref-type="bibr" rid="ref28">Catanzaro and D&#x2019;Amato, 2019</xref>). At landscape scales, a full suite of climate-smart activities can be implemented simultaneously, as in the <italic>portfolio</italic> scenario, to optimize the mitigation potential of management activities under future climate uncertainties (<xref ref-type="bibr" rid="ref113">Millar et al., 2007</xref>) and promote carbon and other ecosystem service benefits.</p>
<p>The climate change impact scenarios likely do not capture all the nuanced ways in which climate change may affect forest productivity, mortality, and demographic processes. Evidence of increased tree growth rates due to climate change is limited (<xref ref-type="bibr" rid="ref46">Dow et al., 2022</xref>). Although the <italic>climate change growth</italic> scenario showed slight increases in growth under future climate conditions, it resulted in minimal C gains. Some studies suggest that climate change will increase drought-related mortality in forests and may ultimately decrease productivity, counteracting or exceeding any potential growth benefits observed within our prescriptive approach to future growth (<xref ref-type="bibr" rid="ref94">Kurz et al., 2008</xref>; <xref ref-type="bibr" rid="ref3">Allen et al., 2010</xref>, <xref ref-type="bibr" rid="ref2">2015</xref>). The <italic>climate change disturbance</italic> scenario emphasizes that increases in the severity and extent of natural disturbance drastically decreases ecosystem C stocks. The <italic>climate change impact</italic> scenarios suggest that increases in disturbance intensity and severity could counteract any projected increases in future growth caused by climate change resulting from carbon fertilization, warming temperatures, or longer growing seasons (<xref ref-type="bibr" rid="ref94">Kurz et al., 2008</xref>). Additionally, evidence suggests that risk from wildfire, insect and pathogen, and drought disturbances pose a severe future threat to carbons storage (<xref ref-type="bibr" rid="ref2">Allen et al., 2015</xref>; <xref ref-type="bibr" rid="ref82">Jolly et al., 2015</xref>; <xref ref-type="bibr" rid="ref22">Brando et al., 2019</xref>; <xref ref-type="bibr" rid="ref190">Walker et al., 2019</xref>; <xref ref-type="bibr" rid="ref6">Asaro et al., 2023</xref>). Therefore, focusing exclusively on C sequestration and storage cannot supplant other management goals such as enhancing forest health and resiliency without potential catastrophic repercussions for future ecosystem resilience. To do so would be contradictory to climate-smart forestry principles, which emphasize promoting future adaptation and resilience, and reducing catastrophic disturbance risk, while meeting current human needs. For example, the <italic>TSI</italic> scenario projected a weakening of the C sink in the near term relative to BAU due to increased removals and emissions from thinning and prescribed burns, but solely considering the C impacts does not fully account other co-benefits provided by these practices. Forest resilience treatments (which also consist of thinning and prescribed fire) can reduce future wildfire risk (<xref ref-type="bibr" rid="ref164">Shinneman et al., 2012</xref>), increase forest restoration and health benefits (<xref ref-type="bibr" rid="ref24">Brown et al., 2004</xref>), improve habitat creation (<xref ref-type="bibr" rid="ref179">Tingley et al., 2018</xref>), and achieve desired species mixes or stand structural diversity (<xref ref-type="bibr" rid="ref23">Brockway and Lewis, 1997</xref>). Resilience treatments can reduce catastrophic disturbance risk by increasing a forest&#x2019;s adaptive capacity or an ecosystem&#x2019;s ability to tolerate large-scale disturbances (<xref ref-type="bibr" rid="ref122">Nicotra et al., 2015</xref>; <xref ref-type="bibr" rid="ref11">Beever et al., 2016</xref>; <xref ref-type="bibr" rid="ref153">Rogers et al., 2017</xref>) and future climate change induced decreases in resilience (<xref ref-type="bibr" rid="ref33">Clark et al., 1999</xref>; <xref ref-type="bibr" rid="ref202">Zhu et al., 2018</xref>; <xref ref-type="bibr" rid="ref76">Hill et al., 2023</xref>). Further increases in wood utilization and efficiency of small diameter stems removed during resilience treatments can generate additional climate benefit by storing additional carbon and boosting substitution benefits (<xref ref-type="bibr" rid="ref115">Mohammad, 2023</xref>).</p>
<p>Increased wood utilization has the potential co-benefit of slowing forestland conversion by supporting a more robust sustainable economy for wood products, whereas stopping harvest activities provides inverse incentives for landowners to potentially convert land (<xref ref-type="bibr" rid="ref173">Sohngen et al., 1999</xref>). However, establishing safeguards to minimize negative externalities to forests of high biological value and biodiversity is advisable, understanding the complex interactions of multi-faceted management goals across the landscape (<xref ref-type="bibr" rid="ref34">Clay and Cooper, 2022</xref>). Wood as a basis for a sustainable bioeconomy provides additional livelihood support for rural landowners (<xref ref-type="bibr" rid="ref143">Puddister et al., 2011</xref>), incentivizing sustainable management in terms of C emissions and removals (<xref ref-type="bibr" rid="ref86">K&#x00F6;hl et al., 2020</xref>), and a transition toward a sustainable bioeconomy supported by renewable resources instead of fossil fuels (<xref ref-type="bibr" rid="ref151">Rockstrom et al., 2009</xref>). There is a significant trade-off between avoided GHG emissions from wood utilization and substitution and the near-term reduction in forest C sink from harvest (<xref ref-type="bibr" rid="ref175">Soimakallio et al., 2016</xref>), but assessing net C balance within forest boundaries fails to acknowledge the key linkages between forest C dynamics, forest product-based C pools, and the important benefits of transitioning away from fossil fuel-based materials (<xref ref-type="bibr" rid="ref86">K&#x00F6;hl et al., 2020</xref>).</p>
<p>Innovative wood utilization only serves to further boost the carbon mitigation potential of forests (<xref ref-type="bibr" rid="ref107">McKinley et al., 2011</xref>). New technologies and uses increasing product half-lives bolster the C storage and substitution benefits of forest products, increasing displaced emissions (and so reducing embodied carbon emissions) from other more emissions-intensive materials or energy sources (<xref ref-type="bibr" rid="ref167">Skog, 2008</xref>; <xref ref-type="bibr" rid="ref107">McKinley et al., 2011</xref>; <xref ref-type="bibr" rid="ref198">Xie et al., 2023</xref>). The construction industry presents a prime opportunity to maximize both the C storage and substitution benefits of HWPs, due to large emissions associated with concrete and steel production (<xref ref-type="bibr" rid="ref32">Churkina et al., 2020</xref>; <xref ref-type="bibr" rid="ref200">Zhang et al., 2020</xref>). Additionally, proper maintenance of landfills to ensure anaerobic conditions that slow decay of solid wood products offers additional opportunities to accumulate C stocks (<xref ref-type="bibr" rid="ref9">Barlaz, 1998</xref>; <xref ref-type="bibr" rid="ref67">Geng et al., 2017</xref>). Improved landfill management could involve the reduction of methane emission by diverting wood waste away from the landfill or capturing landfill methane emissions (<xref ref-type="bibr" rid="ref116">Moreau et al., 2023</xref>). Lastly, increasing mill efficiency and effective wood recovery rates represent additional opportunities to boost the amount of C stored in forest products by utilizing more material (and the C it contains) in longer-lived products and reducing the amount of mill residue that would otherwise likely be emitted quickly (<xref ref-type="bibr" rid="ref100">Lippke et al., 2011</xref>, <xref ref-type="bibr" rid="ref99">2012</xref>); over 90% of mill residue in both states goes toward short-lived pulp and fuel products, or is unused. However, to optimize both sequestration and storage benefits, forest owners and managers should consider balancing current forest growth rates with removals to not further exacerbate forest C sink declines.</p>
<p>To meet current ecological, economic, and climate goals, no single strategy is right for all landowners and forest types. Forest landscapes need to be managed under a variety of climate-smart approaches, tailored to site-specific conditions and management goals. This study demonstrates that a focus on existing priorities of forest health and stewardship can constitute part of an effective mitigation strategy (<xref ref-type="bibr" rid="ref113">Millar et al., 2007</xref>), without hindering future demands on timber supply. While simultaneous increasing C sequestration potential to reduce atmospheric GHG levels in-service of 2030 emissions targets (<xref ref-type="bibr" rid="ref41">den Elzen et al., 2022</xref>).</p>
</sec>
<sec id="sec22">
<label>4.2.</label>
<title>Management and policy opportunities</title>
<p>Significant mitigation opportunities exist through protecting existing forestland from permanent loss, i.e., keeping forests as forest, and planting trees in ecologically appropriate areas to increase forest acreage, two practices already aligned with policy priorities in Maryland and Pennsylvania (<xref ref-type="bibr" rid="ref108">MDE, 2021</xref>; <xref ref-type="bibr" rid="ref130">PDEP, 2021</xref>). Emphasis on restoration of degraded or poorly functioning forestlands along with implementing sustainable management practices would provide further C benefits through maintaining both forest health and productivity. More efficient wood utilization and creation of longer-lived wood products can increase C storage in HWP. Policies promoting bioenergy derivation from waste materials provide another potential climate mitigation strategy, especially if waste materials are diverted from landfill streams. Emerging carbon capture and storage technologies have added potential to couple with bioenergy, further increasing substitution benefits shifting production away from other more carbon intensive energy sources (<xref ref-type="bibr" rid="ref162">Shahbaz et al., 2021</xref>; <xref ref-type="bibr" rid="ref133">Petersson et al., 2022</xref>). Additionally, decreasing logging operation emissions, while not explicitly modeled in this study, would further enhance statewide carbon balances converging toward net-zero emissions targets. Coupling a reduction of fossil fuel use in management activities along with implementing best practices to reduce the impact of logging only further increases the potential of carbon benefits (<xref ref-type="bibr" rid="ref57">Fahey et al., 2010</xref>). This does not preclude the impact that forest management activities focused on resiliency and adaptive capacity can have in altering net C balances. Further, the increased responsible use of forest products may result in additional climate benefits, ensuring net benefits for environment and society (<xref ref-type="bibr" rid="ref34">Clay and Cooper, 2022</xref>).</p>
<p>Meeting global climate goals benefits from linking results of studies such as this to various policy levers and incentives, as well as communications and outreach. Tax programs, stewardship and management plans, voluntary offset projects, and cost-share programs have the potential to incentivize desired forest management behaviors, ensuring healthy and vigorous forests. Continued enrollment of forestland in sustainable forest management plans along with other policy vehicles may help to ensure the future viability of the forest C sink (<xref ref-type="bibr" rid="ref57">Fahey et al., 2010</xref>). The incorporation of new data will help decisionmakers continually refine GHG emission targets and goals and better understand trade-offs, risks, and uncertainties associated with specific climate mitigation activities. Likewise, forest managers will benefit from incorporating the best possible information to inform flexible data-driven decision-making regarding forest management (<xref ref-type="bibr" rid="ref123">Novick et al., 2022</xref>) to enhance the role of forests to meet GHG emission targets. The creation of flexible decision-making processes guided by the best available information may allow for an incorporation of refined management practices on a continual basis to adapt and mitigate climate change.</p>
</sec>
<sec id="sec23">
<label>4.3.</label>
<title>Limitations and future research</title>
<p>Uncertainties exist in the assumptions and simplifications necessary to model uneven-aged management through growth-yield curves, post-harvest stand dynamics, and late-stage successional dynamics (<xref ref-type="bibr" rid="ref55">Ekholm et al., 2023</xref>). Theoretical curves of stand development may not capture multi-aged cohort dynamics of certain forests due to the complexity of forest ecosystems. Additionally, uncertainties remain about the long-term relationship between stand age and biomass represented in the form of growth-yield curves; statistical functions used to estimate the relationship between stand age and volume have strong implications for modeled results (<xref ref-type="bibr" rid="ref71">Gustafson et al., 2020</xref>). Continued research will help to understand future forest growth, recruitment, and mortality under a changing climate with complex management interactions. With empirically driven frameworks, the chosen growth function used to model the relationship between stand-age and volume can lead to inherent biases in predicting growth, especially within older forest stands. Dependent upon the function, models may either over or under predict MAI in older stands due to increased uncertainty from underrepresentation of old trees in forest inventories. Future research will benefit from the development of improved data and modeling tools to understand tree to stand-level dynamics of volume and biomass and their relationship to stand age and other structural attributes to more accurately model forest growth within forest carbon models. Additionally, error associated with allometric equations to predict volume-to-biomass estimation remains dependent upon the sample size of trees but can oftentimes be ignored when using national inventories (<xref ref-type="bibr" rid="ref98">Lin et al., 2023</xref>).</p>
<p>Modeling spatially stochastic events remains challenging but can be somewhat ameliorated through the usage of a spatially referenced model and the aggregation of forest records (<xref ref-type="bibr" rid="ref112">Metsaranta et al., 2017</xref>). Furthermore, estimation methods for LUC can mischaracterize recently harvested forest pixels (instead classifying them as non-forest land use) and resulting in a potential overestimation of LUC rates; however, oftentimes remotely sensed inputs can be assigned an uncertainty of 5%&#x2013;10%. Our analysis was designed to account for this as much as possible, but uncertainties still exist, and net C balance results are sensitive to assumed LUC trends. Capturing fine-scale management data, especially for private lands, remains challenging. However, through direct expert opinions from project stakeholders, we developed harvest regimes heuristically. Future research is needed to assess the sensitivity of future C sink-source strength to model inputs such as LUC rates, harvest rates, and growth as these inputs are prescriptive.</p>
<p>Further, quantifying relationships between substitution benefits, accounting of bioenergy emissions, and leakage across multiple timeframes remains challenging when the competing sectors are under pressure to actively decarbonize (<xref ref-type="bibr" rid="ref138">Pingoud et al., 2018</xref>; <xref ref-type="bibr" rid="ref174">Soimakallio et al., 2022</xref>). Some recent evidence suggests that substitution benefits are likely to be overestimated or oversimplified (<xref ref-type="bibr" rid="ref74">Harmon, 2019</xref>); while this study has sought to provide reliable, state-specific substitution benefits by incorporating state- and region-specific wood use data and LCAs and allowing for the realities of leakage to dampen assumed product substitution needs, uncertainties in future product demand (which we assume to be constant) do contribute to overall substitution value uncertainties. In contrast, we did not consider substitution benefits from carbon capture emitted during woody biomass bioenergy derivation. Potential shifts in product types and half-lives of products have strong ramifications on future carbon storage (<xref ref-type="bibr" rid="ref198">Xie et al., 2023</xref>), necessitating additional research to refine the relationship between carbon stored across HWP product streams, mill efficiencies, and the usage of both forest and mill residues. We assumed leakage rates for decreases in harvest rates; however, we did not estimate potential leakage rates associated with increases in harvest rates (i.e., reduced out-of-state harvest to compensate for increased in-state harvest); while this is how leakage is typically applied, it comes with an assumption in our case that all additional harvest goes toward additional in-state wood use, spurred by either policy or cost incentives. It is also worth noting that estimation of methane emissions from landfills, which are accounted for in this study, pose potential risks for improper accounting dependent upon assumptions which may result in smaller displacement factors (<xref ref-type="bibr" rid="ref31">Chen et al., 2018</xref>).</p>
<p>Future forest C balances can be impacted in unforeseen ways with projected forest dynamics, climate change impacts, and disturbance regimes through 2100 which introduces uncertainty in our results. While some scenarios were designed to address this uncertainty prescriptively (such as the <italic>climate change</italic> scenarios), other uncertainties remain regarding fluctuations in socio-economic conditions. For example, knowledge of future rates of harvest and LUC remain highly uncertain. It is important to address socioeconomic factors driving forest management and the forest products sector when evaluating mitigation potential of scenarios due to their significant effects on both the results and feasibility of implementing carbon mitigation actions (<xref ref-type="bibr" rid="ref1">Alig et al., 2004</xref>; <xref ref-type="bibr" rid="ref201">Zhao et al., 2022</xref>). Additionally, our results do not incorporate changes to radiative forcings caused by a shift in surface albedo or other global teleconnection processes that may influence regional to global C balances (<xref ref-type="bibr" rid="ref178">Swann et al., 2012</xref>).</p>
</sec>
</sec>
<sec sec-type="conclusions" id="sec24">
<label>5.</label>
<title>Conclusion</title>
<p>Forest management and wood utilization can contribute substantially to regional and national climate goals. This research highlights the importance of fully accounting for GHG emissions from the forest ecosystem, land-use change, harvested wood products, and displaced emissions within a systems-based approach when evaluating the role forest management has in meeting current and future climate goals across diverse and heterogeneous forest landscapes. We examined GHG mitigation potential using a business-as-usual scenario, 15 management scenarios, as well as 2 climate and 2 bioenergy scenarios to assess how various forest sector activities affect future land surface carbon balance in both forest ecosystems and wood products. Results demonstrated that implementing a variety of climate-smart management practices can substantially increase forest C sink strength in Maryland and Pennsylvania without risking future forest resiliency. This study identifies key management activities that can significantly maintain or increase state-level forest carbon sinks, such as preserving and expanding forest area, increasing the ability of forests to regenerate, encouraging sustainable harvesting practices, extending rotations, supporting sustainable wood utilization, and preparing for future climate change impacts. Our results suggest that halting active forest management leads to counterproductive carbon outcomes when considering the forest ecosystem, harvest wood products, forest health, forest disturbances, and climate change. Concurrent implementation of best practices can increase the forest C sink by 29% in Maryland and 38% in Pennsylvania by 2030. However, the results and activities modeled in this study are not universally applicable. Designing and implementing management activities for climate benefits requires locally relevant knowledge and expertise to properly balance the trade-offs, risks, and uncertainties associated around the complex interaction of managing forests and the forest products sector.</p>
</sec>
<sec sec-type="data-availability" id="sec25">
<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="sec26">
<title>Author contributions</title>
<p>CP: Conceptualization, Data curation, Formal analysis, Investigation, Methodology, Software, Validation, Visualization, Writing &#x2013; original draft, Writing &#x2013; review &#x0026; editing. KD: Conceptualization, Data curation, Formal analysis, Funding acquisition, Investigation, Methodology, Project administration, Resources, Software, Validation, Visualization, Writing &#x2013; review &#x0026; editing. KC: Conceptualization, Data curation, Formal analysis, Investigation, Methodology, Software, Validation, Writing &#x2013; review &#x0026; editing. DG-G: Conceptualization, Investigation, Methodology, Writing &#x2013; review &#x0026; editing. LC: Conceptualization, Funding acquisition, Project administration, Resources, Supervision, Writing &#x2013; review &#x0026; editing. WK: Conceptualization, Formal analysis, Funding acquisition, Investigation, Methodology, Project administration, Resources, Supervision, Validation, Writing &#x2013; review &#x0026; editing. MM: Conceptualization, Formal analysis, Investigation, Methodology, Resources, Software, Writing &#x2013; review &#x0026; editing. TO: Conceptualization, Investigation, Supervision, Writing &#x2013; review &#x0026; editing.</p>
</sec>
</body>
<back>
<sec sec-type="funding-information" id="sec27">
<title>Funding</title>
<p>The author(s) declare financial support was received for the research, authorship, and/or publication of this article. This work was supported by the U.S Climate Alliance Technical Assistance Grant program and private foundations.</p>
</sec>
<ack>
<p>The authors thank our state partners at the Maryland DNR and Pennsylvania DCNR for providing their valuable time and expertise to accomplish this project. We thank Al Steele and others at the USFS for coordination on this project. Additionally, this study would not have been possible without the support of Eric Neilson, Scott Morken, and the entire Canadian Forest Service carbon accounting team. Lastly, we thank Eric Sprague, Brian Kittler, and Kristina Bartowitz for providing valuable guidance and feedback on this study.</p>
</ack>
<sec sec-type="COI-statement" id="sec28">
<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>
<sec sec-type="supplementary-material" id="sec29">
<title>Supplementary material</title>
<p>The Supplementary material for this article can be found online at: <ext-link xlink:href="https://www.frontiersin.org/articles/10.3389/ffgc.2023.1259010/full#supplementary-material" ext-link-type="uri">https://www.frontiersin.org/articles/10.3389/ffgc.2023.1259010/full#supplementary-material</ext-link></p>
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