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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. For. Glob. Change</journal-id>
<journal-title-group>
<journal-title>Frontiers in Forests and Global Change</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. For. Glob. Change</abbrev-journal-title>
</journal-title-group>
<issn pub-type="epub">2624-893X</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.3389/ffgc.2025.1653665</article-id><article-version article-version-type="Version of Record" vocab="NISO-RP-8-2008"/>
<article-categories>
<subj-group subj-group-type="heading"><subject>Original Research</subject></subj-group>
</article-categories>
<title-group>
<article-title>Factors affecting the forest value chain resilience&#x2013;a local economic perspective in five European countries</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Garc&#x00ED;a-J&#x00E1;come</surname>
<given-names>Sandra Paola</given-names>
</name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<xref ref-type="corresp" rid="c001"><sup>&#x002A;</sup></xref>
<uri xlink:href="https://loop.frontiersin.org/people/2298509"/>
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</contrib>
<contrib contrib-type="author">
<name>
<surname>Brudermann</surname>
<given-names>Annechien</given-names>
</name>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
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</contrib>
<contrib contrib-type="author">
<name>
<surname>Stern</surname>
<given-names>Tobias</given-names>
</name>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
<xref ref-type="aff" rid="aff3"><sup>3</sup></xref>
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</contrib>
<contrib contrib-type="author">
<name>
<surname>Lindner</surname>
<given-names>Marcus</given-names>
</name>
<xref ref-type="aff" rid="aff4"><sup>4</sup></xref>
<uri xlink:href="https://loop.frontiersin.org/people/127415"/>
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</contrib>
<contrib contrib-type="author">
<name>
<surname>Lloret</surname>
<given-names>Francisco</given-names>
</name>
<xref ref-type="aff" rid="aff5"><sup>5</sup></xref>
<xref ref-type="aff" rid="aff6"><sup>6</sup></xref>
<uri xlink:href="https://loop.frontiersin.org/people/469358"/>
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</contrib>
<contrib contrib-type="author">
<name>
<surname>Uzquiano</surname>
<given-names>Sara</given-names>
</name>
<xref ref-type="aff" rid="aff4"><sup>4</sup></xref>
<uri xlink:href="https://loop.frontiersin.org/people/2932015"/>
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</contrib>
<contrib contrib-type="author">
<name>
<surname>Asada</surname>
<given-names>Raphael</given-names>
</name>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="Writing &#x2013; review &amp; editing" vocab-term-identifier="https://credit.niso.org/contributor-roles/writing-review-editing/">Writing &#x2013; review &#x0026; editing</role>
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</contrib>
<contrib contrib-type="author">
<name>
<surname>Picos</surname>
<given-names>Juan</given-names>
</name>
<xref ref-type="aff" rid="aff7"><sup>7</sup></xref>
<uri xlink:href="https://loop.frontiersin.org/people/2928014"/>
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</contrib>
<contrib contrib-type="author">
<name>
<surname>Nuhl&#x00ED;&#x010D;ek</surname>
<given-names>Ondrej</given-names>
</name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="methodology" vocab-term-identifier="https://credit.niso.org/contributor-roles/methodology/">Methodology</role>
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</contrib>
<contrib contrib-type="author">
<name>
<surname>Vuleti&#x0107;</surname>
<given-names>Dijana</given-names>
</name>
<xref ref-type="aff" rid="aff8"><sup>8</sup></xref>
<uri xlink:href="https://loop.frontiersin.org/people/2947061"/>
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</contrib>
<contrib contrib-type="author">
<name>
<surname>Peltoniemi</surname>
<given-names>Mikko</given-names>
</name>
<xref ref-type="aff" rid="aff9"><sup>9</sup></xref>
<uri xlink:href="https://loop.frontiersin.org/people/158399"/>
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</contrib>
<contrib contrib-type="author">
<name>
<surname>Baumbach</surname>
<given-names>Lukas</given-names>
</name>
<xref ref-type="aff" rid="aff10"><sup>10</sup></xref>
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<contrib contrib-type="author">
<name>
<surname>Jankovsk&#x00FD;</surname>
<given-names>Martin</given-names>
</name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
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<aff id="aff1"><label>1</label><institution>Department of Forestry Technologies and Construction, Faculty of Forestry and Wood Sciences, Czech University of Life Sciences Prague</institution>, <city>Prague</city>, <country country="cz">Czechia</country></aff>
<aff id="aff2"><label>2</label><institution>Department of Environmental Systems Sciences, University of Graz</institution>, <city>Graz</city>, <country country="at">Austria</country></aff>
<aff id="aff3"><label>3</label><institution>Kompetenzzentrum Holz GmbH</institution>, <city>Linz</city>, <country country="at">Austria</country></aff>
<aff id="aff4"><label>4</label><institution>European Forest Institute</institution>, <city>Bonn</city>, <country country="de">Germany</country></aff>
<aff id="aff5"><label>5</label><institution>Centro de Investigaci&#x00F3;n Ecol&#x00F3;gica y Aplicaciones Forestales (CREAF), Edifici C, Universitat Aut&#x00F2;noma Barcelona (UAB)</institution>, <city>Barcelona</city>, <country country="es">Spain</country></aff>
<aff id="aff6"><label>6</label><institution>Ecology Unit, Department of Biologia Animal, Biologia Vegetal i Ecologia, Universitat Aut&#x00F2;noma Barcelona (UAB)</institution>, <city>Barcelona</city>, <country country="es">Spain</country></aff>
<aff id="aff7"><label>7</label><institution>Escola de Enxe&#x00F1;ar&#x00ED;a Forestal, Universidade de Vigo</institution>, <city>Pontevedra</city>, <country country="es">Spain</country></aff>
<aff id="aff8"><label>8</label><institution>Department for International Scientific Cooperation in Southeast Europe, Croatian Forest Research Institute</institution>, <city>Jastrebarsko</city>, <country country="hr">Croatia</country></aff>
<aff id="aff9"><label>9</label><institution>Natural Resources Institute Finland (Luke)</institution>, <city>Helsinki</city>, <country country="fi">Finland</country></aff>
<aff id="aff10"><label>10</label><institution>University of Freiburg</institution>, <city>Freiburg</city>, <country country="de">Germany</country></aff>
<author-notes><corresp id="c001"><label>&#x002A;</label>Correspondence: Sandra Paola Garc&#x00ED;a-J&#x00E1;come, <email xlink:href="mailto:garcia_jacome@fld.czu">garcia_jacome@fld.czu</email></corresp></author-notes>
<pub-date publication-format="electronic" date-type="pub" iso-8601-date="2025-11-17">
<day>17</day>
<month>11</month>
<year>2025</year>
</pub-date>
<pub-date publication-format="electronic" date-type="collection">
<year>2025</year>
</pub-date>
<volume>8</volume>
<elocation-id>1653665</elocation-id>
<history>
<date date-type="received">
<day>25</day>
<month>06</month>
<year>2025</year>
</date>
<date date-type="accepted">
<day>16</day>
<month>10</month>
<year>2025</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#x00A9; 2025 Garc&#x00ED;a-J&#x00E1;come, Brudermann, Stern, Lindner, Lloret, Uzquiano, Asada, Picos, Nuhl&#x00ED;&#x010D;ek, Vuleti&#x0107;, Peltoniemi, Baumbach and Jankovsk&#x00FD;.</copyright-statement>
<copyright-year>2025</copyright-year>
<copyright-holder>Garc&#x00ED;a-J&#x00E1;come, Brudermann, Stern, Lindner, Lloret, Uzquiano, Asada, Picos, Nuhl&#x00ED;&#x010D;ek, Vuleti&#x0107;, Peltoniemi, Baumbach and Jankovsk&#x00FD;</copyright-holder>
<license><ali:license_ref start_date="2025-11-17">https://creativecommons.org/licenses/by/4.0/</ali:license_ref>
<license-p>This is an open-access article distributed under the terms of the <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">Creative Commons Attribution License (CC BY)</ext-link>. The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</license-p>
</license>
</permissions>
<abstract>
<p>This study investigates the economic resilience of Forest Value Chains (FVC) at the local level through five European case studies: Kostelec, Czechia (CZ), Upper Rhine Valley, Germany (DE), Istria, Croatia (HR), Kainuu, Finland (FIN), and Galicia, Spain (ESP). Using an operational resilience framework (ORF) and a resilience assessment centered on revenue as a system variable. A sensitivity analysis of profitability thresholds confirmed the robustness of the results. Principal Component Analysis (PCA) was applied to examine market price fluctuations across various timber types, market trends and salvage logging practices from 2001 to 2021. Two-way fixed-effects panel regression models revealed that planned harvested volume, mechanization, and market prices were significant predictors of enhanced economic resilience. The analysis revealed three interrelated dimensions of FVC resilience: resistance to market shocks, recovery following disturbances, and capacity for transformation via adaptive management. Two predominant adaptation strategies emerged: a market-driven approach, characterized by product diversification and price stability, and a disturbance-driven strategy, focused on reactive harvesting and technological innovation. While salvage logging offered short-term economic relief, excessive dependence undermined long-term stability. The findings highlight the need to balance short-term recovery with long-term sustainability in managing Europe&#x2019;s FVCs.</p>
</abstract>
<kwd-group>
<kwd>salvage logging</kwd>
<kwd>timber assortments</kwd>
<kwd>technology</kwd>
<kwd>market approach</kwd>
<kwd>harvesting strategies</kwd>
</kwd-group><funding-group><funding-statement>The author(s) declare that financial support was received for the research and/or publication of this article. The research was supported by the RESONATE Project funded by the European Union&#x2019;s Horizon 2020 research and innovation programme under grant agreement number 101000574 and the of the Faculty of Forestry and Wood Sciences of the Czech University of Life Sciences in Prague.</funding-statement></funding-group>
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<fig-count count="5"/>
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<page-count count="15"/>
<word-count count="11728"/>
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<custom-meta-group>
<custom-meta>
<meta-name>section-at-acceptance</meta-name>
<meta-value>People and Forests</meta-value>
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</front>
<body>
<sec sec-type="intro" id="sec1">
<label>1</label>
<title>Introduction</title>
<p>Forest-based value chains (FVCs) play an important role in regional and global economies, linking forest product harvesting, processing, and marketing (<xref ref-type="bibr" rid="ref9006">Henderson and Weiler, 2010</xref>; <xref ref-type="bibr" rid="ref9009">Rubaratuka et al., 2024</xref>). They provide income for forest owners, employment in local communities, and raw materials for industry (<xref ref-type="bibr" rid="ref9004">D&#x2019;Amours et al., 2017</xref>), playing a key role in supporting sustainable local development. Forest enterprises, which are central to managing and processing resources, depend on the stability and productivity of the forest system (<xref ref-type="bibr" rid="ref30">Nabuurs et al., 2015</xref>; <xref ref-type="bibr" rid="ref26">Liubachyna et al., 2017</xref>). However, enterprises and the broader FVC, are increasingly threatened by the impacts of climate change.</p>
<p>A key aspect of how climate change affects FVCs stability are natural disturbances. Bark beetle outbreaks, windstorms, droughts and wildfires are becoming more frequent and severe, directly affecting forest ecosystems, their productivity and therefore, the value chain and forest-based industries (<xref ref-type="bibr" rid="ref5">Buras et al., 2020</xref>; <xref ref-type="bibr" rid="ref46">Senf and Seidl, 2021</xref>; <xref ref-type="bibr" rid="ref33">Nunes, 2023</xref>; <xref ref-type="bibr" rid="ref59">Washaya et al., 2024</xref>). These disruptions often lead to unplanned salvage logging and a decline in timber quality, thereby reducing revenues for forest owners and undermining the financial viability of forest enterprises (<xref ref-type="bibr" rid="ref10">Fuchs et al., 2022</xref>). The ability to respond to and recover from such shocks is becoming a central concern for those managing and depending on FVCs (<xref ref-type="bibr" rid="ref49">Spittlehouse and Stewart, 2004</xref>; <xref ref-type="bibr" rid="ref57">Verkerk et al., 2022</xref>; <xref ref-type="bibr" rid="ref19">IPCC, 2022</xref>).</p>
<p>In this context, the concept of resilience has gained increasing attention. Generally, resilience can be described as the capacity of a system to absorb disturbances while recovering and maintaining its essential functions and structure in a timely and efficient manner (<xref ref-type="bibr" rid="ref27">Lloret et al., 2024</xref>; <xref ref-type="bibr" rid="ref9011">Walker et al., 2004</xref>). For forest owners and enterprises, this means being able to continue operations, sustain livelihoods, and plan for the future despite environmental and market disruptions. Therefore, building resilience requires not only ecological management but also socio-economic planning and governance (<xref ref-type="bibr" rid="ref32">Nikinmaa et al., 2020</xref>).</p>
<p>The resilience concept is often applied in different ways according to the system boundaries and specific goals (<xref ref-type="bibr" rid="ref32">Nikinmaa et al., 2020</xref>). Engineering resilience, for example, refers to the ability to recover to a state equivalent to the undisturbed one (e.g., before disturbance). Ecological resilience focuses on maintaining key ecosystem processes and functions within a system&#x2019;s domain (i.e., avoiding shifts to alternative states). Considering the context of forest systems, economic resilience refers to the capacity of economic actors to absorb shocks and adapt to changing ecological or market conditions and transform, when necessary, to sustain functionality and competitiveness (<xref ref-type="bibr" rid="ref35">Pinto et al., 2022</xref>; <xref ref-type="bibr" rid="ref8">Ferreira et al., 2025</xref>). On a higher level, social-ecological resilience is defined as the capacity of systems confronting stress or disturbance to reorganize and adapt through interactions between ecological and social components (<xref ref-type="bibr" rid="ref45">Seidl et al., 2016</xref>; <xref ref-type="bibr" rid="ref31">Nikinmaa et al., 2023</xref>), thereby recognizing the possibility of shifting to another (potentially more resilient) system state.</p>
<p>For this study, we have adopted the social-ecological resilience approach given that complex FVCs involve diverse social and economic stakeholders and address the delivery of multiple ecosystem services across various scales. This approach captures the importance of adaptability, cross-scale dynamics, and system-wide interactions to ensure long-term functionality of FVCs. Particularly, this study extends the resilience concept to the economic domain through the consideration of recovery speed (<xref ref-type="bibr" rid="ref21">Knoke et al., 2023</xref>), which is defined as &#x201C;the ability of a business to recapture lost production&#x201D; (<xref ref-type="bibr" rid="ref34">Park et al., 2011</xref>). In this context, economic processes such as market access, price stability, harvesting capacity, and diversity of forest management strategies are suited to assess the system&#x2019;s resilience.</p>
<p>Building on this economic perspective, according to <xref ref-type="bibr" rid="ref21">Knoke et al. (2023)</xref> and <xref ref-type="bibr" rid="ref53">Tampekis et al. (2024)</xref> highlight the influence of forest management and operational strategies on economic resilience. For example, continuous cover forestry was more economically beneficial and more resilient in terms of recovery after disturbances compared to the clear-fell system. <xref ref-type="bibr" rid="ref62">Xu et al. (2011)</xref> have emphasized the importance of understanding how disruptions propagate through the entire value chain, from harvesting to processing to end-users. Similarly, <xref ref-type="bibr" rid="ref3">Baumg&#x00E4;rtner and Strunz (2014)</xref> conducted an economic analysis on the insurance value of resilience, quantifying the contribution of ecological resilience value by measuring the reduction in risk premium as resilience increases. In addition, studies have examined how factors such as supply chain disruptions, vulnerability and volatility affect resilience (<xref ref-type="bibr" rid="ref6">Christopher, 2000</xref>; <xref ref-type="bibr" rid="ref48">Sheffi, 2001</xref>; <xref ref-type="bibr" rid="ref9010">Svensson, 2000</xref>; <xref ref-type="bibr" rid="ref63">Zsidisin et al., 2000</xref>) Market interactions and management efforts to support adaptation to forest disturbances further complicate resilience dynamics. For instance, <xref ref-type="bibr" rid="ref1">Asada et al. (2023)</xref> demonstrated that large-scale disturbances at the national level in European countries lead to a reduction in value added within the lower-quality segments of the FVC, as high-quality sawlogs are downgraded to low-quality fuelwood. However, mechanisms such as increased salvage logging and import and export on the international market partially offset these losses.</p>
<p>While aggregated market-level studies provide insights on global drivers of FVC resilience, they cannot fully account for the role of local actors in responding to disturbances and ensuring FVC resilience. Despite its importance, the local perspective remains underexplored, particularly within a social-ecological and economic context. The complex interplay between natural disturbances, adaptation behavior and market dynamics in forest value chains at the local level is not yet fully understood. Moreover, the multi-regional approach allows us to identify generalized resilience patterns and context-specific adaptations, which would not be evident in a single-region analyses. This study aims to address this gap by examining the economic effects of natural disturbances on FVC at the local level across diverse biogeographic regions and forest management systems. By identifying key resilience predictors (<xref ref-type="bibr" rid="ref27">Lloret et al., 2024</xref>) and evaluating how market dynamics influence operational resilience across different wood assortments, this research provides valuable insights for enhancing the adaptive capacity of forest-dependent economies.</p>
</sec>
<sec sec-type="methods" id="sec2">
<label>2</label>
<title>Methods</title>
<sec id="sec3">
<label>2.1</label>
<title>Data gathering</title>
<p>This study applies a case study approach at regional level, with one case per region, located five in European countries: Kostelec in Czechia (CZ); Upper Rhine Valle in Germany (DE); Istria in Croatia (HR); Kainuu in Finland (FIN); and Galicia in Spain (ESP; <xref ref-type="fig" rid="fig1">Figure 1</xref>). This procedure captures specific contexts and practices, allowing to explore how they influence enterprise operations and decision-making processes across Europe. These CSs were selected to cover major biogeographic areas, and diverse forest management systems and FVC structure across Europe. In each country, a representative forest enterprise was selected as an exemplar, taking into account the processing capacities, which reflect the distinct structure and scale of the forest-based enterprises. Considering that, CZ, DE, and HR have mid-scale wood processing industries, where the use of timber and forest products is mostly confined to the region, and the export capabilities of the forest-based industries are limited. These forest-based sectors often served domestic or nearby markets, constrained by logistical infrastructure and certain production technologies. While FIN and ESP feature as large-scale wood processing industries, they showcased diverse processing industries and greater integration with international markets. The main disturbances varied between case studies along the considered period, with a prominent role of bark beetle outbreak in CZ, windstorms in DE and FIN, ice-storm and windstorms in HR and wildfires in ESP. The disturbances were reflected in the salvage logging volume, which was used as a proxy of the volume of damaged timber. The volume and quality of damage timber was affected by disturbance agent prevalent in particular regions. This approximation is commonly used in literature (<xref ref-type="bibr" rid="ref9003">Butry et al., 2001</xref>; <xref ref-type="bibr" rid="ref36">Prestemon and Holmes, 2004</xref>; <xref ref-type="bibr" rid="ref9005">Gonz&#x00E1;lez-G&#x00F3;mez et al., 2013</xref>). The type of processing capacity and its versatility not only increases the potential for value recovery after disturbances, but also market outlets and the recovery of damaged timber.</p>
<fig position="float" id="fig1">
<label>Figure 1</label>
<caption>
<p>Five European case studies by wood processing industry scale: Mid-scale: Kostelec, Czechia (CZ), Upper Rhine Valley, Germany (DE), Istria, Croatia (HR), Kainuu. Large-scale: Finland (FIN), and Galicia, Spain (ESP). Map created with MapChart (<ext-link xlink:href="https://www.mapchart.net" ext-link-type="uri">https://www.mapchart.net</ext-link>). Licensed under CC BY-SA 4.0. <xref ref-type="bibr" rid="ref28">MapChart (2025)</xref>.</p>
</caption>
<graphic xlink:href="ffgc-08-1653665-g001.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">The map illustrate five European case studies selected to represent major biogepgraphic areas, diverse forest management systems, and varying FVC. Orange areas indicate large-scale industries in Galicia, Spain and Kainuu, Finland. Green areas indicate mid-scale industries in Upper Rhine, Germany; Kostelec, Czech Republic; and Istria, Croatia, each marked with a pin.</alt-text>
</graphic>
</fig>
<p>Data was gathered according to <xref ref-type="bibr" rid="ref11">Garc&#x00ED;a-J&#x00E1;come et al. (2025)</xref>, considering annual data for the period 2001 to 2021. The dataset included information on case studies in terms of harvesting systems, technologies, timber production and market price of sawlogs, pulpwood and energy wood.</p>
<p>In this study, revenue was used as a system variable, representing a quantitative indicator of the performance of the FVCs social-ecological system in response to disturbances. A system variable is a measurable attribute that responded to external pressures and characterizes the system&#x2019;s structure and function over time (<xref ref-type="bibr" rid="ref31">Nikinmaa et al., 2023</xref>; <xref ref-type="bibr" rid="ref2">Baho et al., 2017</xref>). We followed <xref ref-type="bibr" rid="ref1">Asada et al. (2023)</xref> to obtain the system variable, the revenue for sawlogs, pulpwood and energy wood, where the source of the data was <xref ref-type="bibr" rid="ref55">UNECE/FAO (2021)</xref> and <xref ref-type="bibr" rid="ref56">United Nations (2021)</xref>. However, to ensure cross-country comparability, all prices were kept in USD. Additionally, we applied inflation corrections using the <xref ref-type="bibr" rid="ref61">World Bank (2025)</xref>, allowing us to isolate real price changes from general inflation or currency effects and ensure an accurate reflection of economic trends over time.</p>
<p>To assess the resilience dynamics of revenue across the case studies, we identified 11 key resilience predictors (sensu <xref ref-type="bibr" rid="ref27">Lloret et al., 2024</xref>; <xref ref-type="table" rid="tab1">Table 1</xref>). These predictors offer insight into specific mechanisms or components that enhance a system&#x2019;s ability to absorb disturbances and adapt to change (<xref ref-type="bibr" rid="ref50">Standish et al., 2014</xref>). This approach will help tailor to local needs while informing broader European strategies for sustainable forest-based economies.</p>
<table-wrap position="float" id="tab1">
<label>Table 1</label>
<caption>
<p>List of resilience predictors.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top">Variable cluster</th>
<th align="left" valign="top">Variables</th>
<th align="left" valign="top">Code</th>
<th align="left" valign="top">Units</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="middle" rowspan="5">Harvesting system (HS)</td>
<td align="left" valign="top">Annual volume of total timber supply</td>
<td align="left" valign="top">HS.TS</td>
<td align="left" valign="top" rowspan="5">m<sup>3</sup> year<sup>&#x2212;1</sup></td>
</tr>
<tr>
<td align="left" valign="top">Annual volume of salvage logging</td>
<td align="left" valign="top">HS.SL</td>
</tr>
<tr>
<td align="left" valign="top">Percentage of salvage logging relative to total timber supply</td>
<td align="left" valign="top">Pct.HSL.SL</td>
</tr>
<tr>
<td align="left" valign="top">Usage of Cut-to-length harvesting systems</td>
<td align="left" valign="top">HS.CTL</td>
</tr>
<tr>
<td align="left" valign="top">Usage of horses for timber extraction</td>
<td align="left" valign="top">HS. H</td>
</tr>
<tr>
<td align="left" valign="middle" rowspan="3">Timber Production (TP)</td>
<td align="left" valign="top">Volume of sawlogs</td>
<td align="left" valign="top">TP. SP</td>
<td align="left" valign="top" rowspan="3">m<sup>3</sup></td>
</tr>
<tr>
<td align="left" valign="top">Volume of pulpwood</td>
<td align="left" valign="top">TP. PP</td>
</tr>
<tr>
<td align="left" valign="top">Volume of wood for energy production</td>
<td align="left" valign="top">TP. EP</td>
</tr>
<tr>
<td align="left" valign="middle" rowspan="3">Market price (MP)</td>
<td align="left" valign="top">Price per m<sup>3</sup> at which sawlogs are sold</td>
<td align="left" valign="top">MP. SP</td>
<td align="left" valign="top" rowspan="3">USD/m<sup>3</sup></td>
</tr>
<tr>
<td align="left" valign="top">Price per m<sup>3</sup> at which pulpwood is sold</td>
<td align="left" valign="top">MP. PP</td>
</tr>
<tr>
<td align="left" valign="top">Price per m<sup>3</sup> at which wood for energy is sold</td>
<td align="left" valign="top">MP.EP</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="sec4">
<label>2.2</label>
<title>Resilience assessment</title>
<p>For the resilience assessment, a forest enterprise was considered sustainable and resilient when it was able to generate stable revenue over time while remaining within ecological limits, represented by the economic upper threshold (Ec.UTH). In turn, consistently generating revenues covered operational costs, defined by the economic lower threshold (Ec.LTH).</p>
<p>The Ec.UTH was calculated by first determining the total available timber supply at the upper threshold level (TS.UTH). As it is described in <xref ref-type="bibr" rid="ref11">Garc&#x00ED;a-J&#x00E1;come et al. (2025)</xref> &#x201C;UTH is the upper resilience threshold, defined as the mean annual logging prescriptions according to forest management plan rom year 1 (2001) to year n (2021) of the observed period; and n is the number of years within the observed period.&#x201D;</p>
<p>First, the Timber supply UTH was calculated as:</p>
<p><inline-formula>
<mml:math id="M1">
<mml:mi mathvariant="italic">UTH</mml:mi>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mspace width="0.25em"/>
<mml:munderover>
<mml:mo movablelimits="false">&#x2211;</mml:mo>
<mml:mn>1</mml:mn>
<mml:mi>n</mml:mi>
</mml:munderover>
<mml:mtext mathvariant="italic">Prescribed Logging Volume</mml:mtext>
<mml:mspace width="0.25em"/>
</mml:mrow>
<mml:mrow>
<mml:mtext mathvariant="italic">Number of years</mml:mtext>
<mml:mspace width="0.25em"/>
</mml:mrow>
</mml:mfrac>
</mml:math>
</inline-formula> (<xref ref-type="bibr" rid="ref11">Garc&#x00ED;a-J&#x00E1;come et al., 2025</xref>).</p>
<p>This volume was then divided into different assortments (sawlogs, pulpwood and energy wood) based on their respective shares obtained from appropriate timber yield tables. Each assortment&#x2019;s volume is multiplied by its mean annual market price (MP.SP, MP.PP and MP.EP), and the results are summed up to calculate the total economic value, referred to as Ec.UTH.</p>
<p>While Ec.UTH provides a guideline for sustainable revenue, it should not be considered as a strict rule. Factors like price fluctuations can temporarily increase revenue without necessarily leading to overexploitation.</p>
<p>Then, the Ec.UTH was then calculated by:</p>
<disp-formula id="E1">
<mml:math id="M2">
<mml:mtable columnalign="left" displaystyle="true">
<mml:mtr>
<mml:mtd>
<mml:mi mathvariant="italic">Ec</mml:mi>
<mml:mo>.</mml:mo>
<mml:mi mathvariant="italic">UTH</mml:mi>
<mml:mo>=</mml:mo>
<mml:mi mathvariant="italic">UTH</mml:mi>
<mml:mo>&#x2217;</mml:mo>
<mml:mo stretchy="true">(</mml:mo>
<mml:mtext mathvariant="italic">Share</mml:mtext>
<mml:mo>.</mml:mo>
<mml:mi mathvariant="italic">SP</mml:mi>
<mml:mo>&#x2217;</mml:mo>
<mml:mtext mathvariant="italic">mean</mml:mtext>
<mml:mspace width="0.33em"/>
<mml:mi mathvariant="italic">MP</mml:mi>
<mml:mo>.</mml:mo>
<mml:mi mathvariant="italic">SP</mml:mi>
<mml:mo>+</mml:mo>
<mml:mtext mathvariant="italic">Share</mml:mtext>
<mml:mo>.</mml:mo>
<mml:mi mathvariant="italic">PP</mml:mi>
<mml:mo>&#x2217;</mml:mo>
<mml:mtext mathvariant="italic">mean</mml:mtext>
<mml:mspace width="0.33em"/>
</mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd>
<mml:mi mathvariant="italic">MP</mml:mi>
<mml:mo>.</mml:mo>
<mml:mi mathvariant="italic">PP</mml:mi>
<mml:mo>+</mml:mo>
<mml:mtext mathvariant="italic">Share</mml:mtext>
<mml:mo>.</mml:mo>
<mml:mi mathvariant="italic">EP</mml:mi>
<mml:mo>&#x2217;</mml:mo>
<mml:mtext mathvariant="italic">mean</mml:mtext>
<mml:mspace width="0.33em"/>
<mml:mi mathvariant="italic">MP</mml:mi>
<mml:mo>.</mml:mo>
<mml:mi mathvariant="italic">EP</mml:mi>
<mml:mo stretchy="true">)</mml:mo>
</mml:mtd>
</mml:mtr>
</mml:mtable>
</mml:math>
</disp-formula>
<p>The Ec.LTH represents the minimum total revenue required for a forest enterprise to sustain its essential operations. It was calculated by taking the minimum observed annual revenue (Min Revenue) and the expected profitability ratio for each case study, according to literature-based values (<xref ref-type="supplementary-material" rid="SM1">Annex I</xref>).</p>
<p>The Ec.LTH was calculated as</p>
<disp-formula id="E2">
<mml:math id="M3">
<mml:mi mathvariant="italic">Ec</mml:mi>
<mml:mo>.</mml:mo>
<mml:mi mathvariant="italic">LTH</mml:mi>
<mml:mo>=</mml:mo>
<mml:mo stretchy="true">(</mml:mo>
<mml:mo>min</mml:mo>
<mml:mspace width="0.25em"/>
<mml:mtext mathvariant="italic">Revenue</mml:mtext>
<mml:mo stretchy="true">)</mml:mo>
<mml:mo>&#x2217;</mml:mo>
<mml:mo stretchy="true">(</mml:mo>
<mml:mn>1</mml:mn>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>x</mml:mi>
<mml:mo>%</mml:mo>
<mml:mo stretchy="true">)</mml:mo>
</mml:math>
</disp-formula>
<p>where x% denotes the expected profitability (expressed as a decimal). This formulation assumes that when total revenue falls below Ec.LTH, the enterprise becomes economically unsustainable, that is, unable to cover its essential operating costs once profit margins are accounted for.</p>
<p>If the system variable, revenue, stays within the defined economic upper and lower thresholds, then the exemplar can be considered economically resilient. This means it&#x2019;s generating enough revenue to cover costs without exceeding ecological limits.</p>
<p>To assess the robustness of the Ec.LTH estimates, a sensitivity analysis was performed by adjusting the Ec. LTH values by &#x00B1;10 and &#x00B1;50%. These scenarios tested the influence of moderate and extreme deviations in the profitability assumptions that would affect the classification of resilience states across the case studies.</p>
</sec>
<sec id="sec5">
<label>2.3</label>
<title>Data analysis</title>
<p>We evaluated the role of salvage logging on the operational economies of forest enterprises. So, we calculated the proportion of salvage logging relative to total timber supply from 2001 to 2021. This metric allows us to identify and quantify long-term trends in salvage logging dependence and its impact on forestry markets.</p>
<p>The proportion of salvage logging was calculated as:</p>
<disp-formula id="E3">
<mml:math id="M4">
<mml:mi mathvariant="italic">Pct</mml:mi>
<mml:mo>.</mml:mo>
<mml:mi mathvariant="italic">HS</mml:mi>
<mml:mo>.</mml:mo>
<mml:mi mathvariant="italic">SL</mml:mi>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mtext mathvariant="italic">Salvage logging</mml:mtext>
<mml:mspace width="0.25em"/>
</mml:mrow>
<mml:mtext mathvariant="italic">Total timber supply</mml:mtext>
</mml:mfrac>
</mml:math>
</disp-formula>
<p>Where the percentage of salvage logging is relative to total timber supply (Pct.HS.SL) represents the share of volume of unplanned timber extraction due to disturbances. The total timber supply was used as the denominator because the goal was to show the proportion of salvage logging within the total volume extracted, regardless of planning. This approach helped to assess the relative impact of disturbances on overall supply. However, in some case studies, salvage logging even exceeds the reported total timber supply, suggesting it may not have been completely placed on the market within that year, thus spilling over to subsequent year.</p>
<p>We also analyzed the price trend for sawlogs, pulpwood and energy wood adjusted for inflation and expressed in USD per CS. This analysis helped track long-term price dynamics, detecting market disruptions, and allowed exploring links with revenue fluctuations.</p>
<p>We used Spearman correlations to explore the bivariate relationship between economical revenue and the different predictors (<xref ref-type="table" rid="tab1">Table 1</xref>), Then we employed PCA to reduce the dimensionality of predictors (<xref ref-type="bibr" rid="ref12">Gower et al., 2011</xref>; <xref ref-type="bibr" rid="ref9">Ficko et al., 2019</xref>; <xref ref-type="bibr" rid="ref40">Riccioli et al., 2020</xref>) in order to visualize regional economic patterns and detect temporal trends in economic resilience, in terms of economic revenue. The PCA was conducted using data from 2001 to 2021, and its Dim1 accounted for 70% of the total variability. This PCA was performed by R Studio (version 4.3.1).</p>
<p>Following the explanatory PCA that identified general spatial and temporal trends, we employed a panel regression model to estimate the specific effects of the predictors on forest based economic revenue, while controlling for unobserved heterogeneity across countries and years.</p>
<p>We estimated a two-way fixed effects panel regression, which controls for both country-specific (<inline-formula>
<mml:math id="M5">
<mml:msub>
<mml:mi>&#x03BC;</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:math>
</inline-formula>) and year-specific (<inline-formula>
<mml:math id="M6">
<mml:msub>
<mml:mi>&#x03BB;</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
</mml:math>
</inline-formula>) effects. On one hand, country fixed effects capture time-invariant characteristics of each national forestry system, such as forest resource, management structure, or institutional condition. On the other hand, year fixed effects absorb external shocks common to all countries (e.g., economic shocks, disturbance years, pandemic). This specification isolates the within-country, overtime variation in the explanatory variables that drives changes in real timber revenue.</p>
<p>With many related predictors, multicollinearity was a major concern. To minimize this and ensure stable estimation, variables were pre-processed (<xref ref-type="supplementary-material" rid="SM1">Annex II</xref>), and the transformed variables were used in the subsequent models.</p>
<p>Model A &#x201C;Scale model,&#x201D; examined how total planned harvest, salvage intensity, mechanization and overall market price influenced revenue:</p>
<disp-formula id="E4">
<mml:math id="M7">
<mml:mtable columnalign="left" displaystyle="true">
<mml:mtr>
<mml:mtd>
<mml:mtext mathvariant="italic">Revenu</mml:mtext>
<mml:msub>
<mml:mi>e</mml:mi>
<mml:mi mathvariant="italic">it</mml:mi>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mi>&#x03B1;</mml:mi>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mi>&#x03B2;</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
<mml:mi mathvariant="italic">HS</mml:mi>
<mml:mo>_</mml:mo>
<mml:mtext mathvariant="italic">Planne</mml:mtext>
<mml:msub>
<mml:mi>d</mml:mi>
<mml:mi mathvariant="italic">it</mml:mi>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mi>&#x03B2;</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:mi mathvariant="italic">Pct</mml:mi>
<mml:mo>_</mml:mo>
<mml:mi mathvariant="italic">HS</mml:mi>
<mml:mo>_</mml:mo>
<mml:mi mathvariant="italic">SL</mml:mi>
<mml:msub>
<mml:mn>01</mml:mn>
<mml:mi mathvariant="italic">it</mml:mi>
</mml:msub>
</mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mi>&#x03B2;</mml:mi>
<mml:mn>3</mml:mn>
</mml:msub>
<mml:mi mathvariant="italic">HS</mml:mi>
<mml:mo>_</mml:mo>
<mml:mi mathvariant="italic">CT</mml:mi>
<mml:msub>
<mml:mi>L</mml:mi>
<mml:mi mathvariant="italic">it</mml:mi>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mi>&#x03B2;</mml:mi>
<mml:mn>4</mml:mn>
</mml:msub>
<mml:mtext mathvariant="italic">Price</mml:mtext>
<mml:mo>_</mml:mo>
<mml:mtext mathvariant="italic">Inde</mml:mtext>
<mml:msub>
<mml:mi>x</mml:mi>
<mml:mi mathvariant="italic">it</mml:mi>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mi>&#x03BC;</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mi>&#x03BB;</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:mi mathvariant="italic">&#x03B5;i</mml:mi>
</mml:mtd>
</mml:mtr>
</mml:mtable>
</mml:math>
</disp-formula>
<p>Where revenue (<inline-formula>
<mml:math id="M8">
<mml:mtext mathvariant="italic">Revenu</mml:mtext>
<mml:msub>
<mml:mi>e</mml:mi>
<mml:mi mathvariant="italic">it</mml:mi>
</mml:msub>
</mml:math>
</inline-formula>) in country i in year t is explained by the volume of planned harvested (<inline-formula>
<mml:math id="M9">
<mml:mi mathvariant="italic">HS</mml:mi>
<mml:mo>_</mml:mo>
<mml:mtext mathvariant="italic">Planne</mml:mtext>
<mml:msub>
<mml:mi>d</mml:mi>
<mml:mi mathvariant="italic">it</mml:mi>
</mml:msub>
</mml:math>
</inline-formula>), the proportion of salvage logging to total supply (<inline-formula>
<mml:math id="M10">
<mml:mi mathvariant="italic">Pct</mml:mi>
<mml:mo>_</mml:mo>
<mml:mi mathvariant="italic">HS</mml:mi>
<mml:mo>_</mml:mo>
<mml:mi mathvariant="italic">SL</mml:mi>
<mml:msub>
<mml:mn>01</mml:mn>
<mml:mi mathvariant="italic">it</mml:mi>
</mml:msub>
</mml:math>
</inline-formula>); the degree of mechanization (<inline-formula>
<mml:math id="M11">
<mml:mi mathvariant="italic">HS</mml:mi>
<mml:mo>_</mml:mo>
<mml:mi mathvariant="italic">CT</mml:mi>
<mml:msub>
<mml:mi>L</mml:mi>
<mml:mi mathvariant="italic">it</mml:mi>
</mml:msub>
</mml:math>
</inline-formula>), and the aggregate price level for timber assortment (<inline-formula>
<mml:math id="M12">
<mml:mtext mathvariant="italic">Price</mml:mtext>
<mml:mo>_</mml:mo>
<mml:mtext mathvariant="italic">Inde</mml:mtext>
<mml:msub>
<mml:mi>x</mml:mi>
<mml:mi mathvariant="italic">it</mml:mi>
</mml:msub>
</mml:math>
</inline-formula>).</p>
<p>Log-transformed variant was also estimated to interpret coefficients as elasticities and to reduce heteroscedasticity:</p>
<disp-formula id="E5">
<mml:math id="M13">
<mml:mtable columnalign="left" displaystyle="true">
<mml:mtr>
<mml:mtd>
<mml:mtext mathvariant="italic">lnRevenu</mml:mtext>
<mml:msub>
<mml:mi>e</mml:mi>
<mml:mi mathvariant="italic">it</mml:mi>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mi>&#x03B1;</mml:mi>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mi>&#x03B2;</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
<mml:mo>ln</mml:mo>
<mml:mo stretchy="true">(</mml:mo>
<mml:mn>1</mml:mn>
<mml:mo>+</mml:mo>
<mml:mi mathvariant="italic">HS</mml:mi>
<mml:mo>_</mml:mo>
<mml:mtext mathvariant="italic">Planne</mml:mtext>
<mml:msub>
<mml:mi>d</mml:mi>
<mml:mi mathvariant="italic">it</mml:mi>
</mml:msub>
<mml:mo stretchy="true">)</mml:mo>
</mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mi>&#x03B2;</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:mi mathvariant="italic">Pct</mml:mi>
<mml:mo>_</mml:mo>
<mml:mi mathvariant="italic">HS</mml:mi>
<mml:mo>_</mml:mo>
<mml:mi mathvariant="italic">SL</mml:mi>
<mml:msub>
<mml:mn>01</mml:mn>
<mml:mi mathvariant="italic">it</mml:mi>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mi>&#x03B2;</mml:mi>
<mml:mn>3</mml:mn>
</mml:msub>
<mml:mi mathvariant="italic">HS</mml:mi>
<mml:mo>_</mml:mo>
<mml:mi mathvariant="italic">CT</mml:mi>
<mml:msub>
<mml:mi>L</mml:mi>
<mml:mi mathvariant="italic">it</mml:mi>
</mml:msub>
</mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mi>&#x03B2;</mml:mi>
<mml:mn>4</mml:mn>
</mml:msub>
<mml:mtext mathvariant="italic">Price</mml:mtext>
<mml:mo>_</mml:mo>
<mml:mtext mathvariant="italic">Inde</mml:mtext>
<mml:msub>
<mml:mi>x</mml:mi>
<mml:mi mathvariant="italic">it</mml:mi>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mi>&#x03BC;</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mi>&#x03BB;</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:mi mathvariant="italic">&#x03B5;i</mml:mi>
</mml:mtd>
</mml:mtr>
</mml:mtable>
</mml:math>
</disp-formula>
<list list-type="bullet">
<list-item>
<p><inline-formula>
<mml:math id="M14">
<mml:msub>
<mml:mi>&#x03B2;</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
</mml:math>
</inline-formula>&#x2248; revenue elasticity w.r.t. planned harvest</p>
</list-item>
<list-item>
<p><inline-formula>
<mml:math id="M15">
<mml:msub>
<mml:mi>&#x03B2;</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
</mml:math>
</inline-formula>&#x2248; % change in revenue per unit (or 10&#x202F;pp) change in salvage share</p>
</list-item>
<list-item>
<p><inline-formula>
<mml:math id="M16">
<mml:msub>
<mml:mi>&#x03B2;</mml:mi>
<mml:mn>3</mml:mn>
</mml:msub>
<mml:mo>,</mml:mo>
<mml:msub>
<mml:mi>&#x03B2;</mml:mi>
<mml:mn>4</mml:mn>
</mml:msub>
</mml:math>
</inline-formula>= semi-elasticities (since not logged)</p>
</list-item>
<list-item>
<p>Using ln (1&#x202F;+&#x202F;x) allows zero values of harvest or volume.</p>
</list-item>
</list>
<p>Model B &#x201C;Composition model,&#x201D; replaced total harvest with type of assortments volume of sawlogs, pulpwood and energy wood to test whether changes in harvest composition affected revenue:</p>
<disp-formula id="E6">
<mml:math id="M17">
<mml:mtable columnalign="left" displaystyle="true">
<mml:mtr>
<mml:mtd>
<mml:mtext mathvariant="italic">Revenu</mml:mtext>
<mml:msub>
<mml:mi>e</mml:mi>
<mml:mi mathvariant="italic">it</mml:mi>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mi>&#x03B1;</mml:mi>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mi>&#x03B2;</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
<mml:mi mathvariant="italic">TP</mml:mi>
<mml:mo>_</mml:mo>
<mml:mi>S</mml:mi>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mi mathvariant="italic">it</mml:mi>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mi>&#x03B2;</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:mi mathvariant="italic">TP</mml:mi>
<mml:mo>_</mml:mo>
<mml:mi>P</mml:mi>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mi mathvariant="italic">it</mml:mi>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mi>&#x03B2;</mml:mi>
<mml:mn>3</mml:mn>
</mml:msub>
<mml:mi mathvariant="italic">TP</mml:mi>
<mml:mo>_</mml:mo>
<mml:mi>E</mml:mi>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mi mathvariant="italic">it</mml:mi>
</mml:msub>
</mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mi>&#x03B2;</mml:mi>
<mml:mn>4</mml:mn>
</mml:msub>
<mml:mi mathvariant="italic">Pct</mml:mi>
<mml:mo>_</mml:mo>
<mml:mi mathvariant="italic">HS</mml:mi>
<mml:mo>_</mml:mo>
<mml:mi mathvariant="italic">SL</mml:mi>
<mml:msub>
<mml:mn>01</mml:mn>
<mml:mi mathvariant="italic">it</mml:mi>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mi>&#x03B2;</mml:mi>
<mml:mn>5</mml:mn>
</mml:msub>
<mml:mi mathvariant="italic">HS</mml:mi>
<mml:mo>_</mml:mo>
<mml:mi mathvariant="italic">CT</mml:mi>
<mml:msub>
<mml:mi>L</mml:mi>
<mml:mi mathvariant="italic">it</mml:mi>
</mml:msub>
</mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mi>&#x03B2;</mml:mi>
<mml:mn>4</mml:mn>
</mml:msub>
<mml:mtext mathvariant="italic">Price</mml:mtext>
<mml:mo>_</mml:mo>
<mml:mtext mathvariant="italic">Inde</mml:mtext>
<mml:msub>
<mml:mi>x</mml:mi>
<mml:mi mathvariant="italic">it</mml:mi>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mi>&#x03BC;</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mi>&#x03BB;</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:mi mathvariant="italic">&#x03B5;it</mml:mi>
</mml:mtd>
</mml:mtr>
</mml:mtable>
</mml:math>
</disp-formula>
<p>Model significance was tested using F-statistics for joint significance of regressor and Wald Test for time and group effects. The models were estimated using the plm package (<xref ref-type="bibr" rid="ref7">Croissant and Millo, 2008</xref>) in RStudio (version 4.3.1) (<xref ref-type="bibr" rid="ref41">RStudio Team 2020</xref>). Heteroscedasticity-robust standard errors were computed and clustered by both country and year to ensure inference robustness with a small cross-sectional sample (five case studies). The FE was used because unobserved structural characteristics of each country are likely correlated with the explanatory variables (<xref ref-type="bibr" rid="ref60">Wooldridge, 2010</xref>).</p>
</sec>
</sec>
<sec sec-type="results" id="sec6">
<label>3</label>
<title>Result</title>
<sec id="sec7">
<label>3.1</label>
<title>The proportion of salvage logging relative to timber supply</title>
<p><xref ref-type="fig" rid="fig2">Figure 2</xref> illustrates the percentage of timber supply sourced from salvage logging across the five case studies. A higher proportion of salvage logging indicates a stronger reliance on reactive harvesting rather than planned timber extraction. The fluctuating trend reflects the severity and frequency of disturbances.</p>
<fig position="float" id="fig2">
<label>Figure 2</label>
<caption>
<p>Percentage of salvage logging (m<sup>3</sup>) related to timber supply, in the five case studies (CZ, HR, DE, FIN, and ESP). When the percentage of salvage logging to timber supply is close to 100, it indicates that a larger portion of timber is from salvage logging likely due to disturbances (e.g., bark beetle, windstorms, fires, snow, etc.) that led to much higher salvage operations than originally anticipated, whereas a percentage close to 0 suggests that the timber supply is largely sourced from the planned logging.</p>
</caption>
<graphic xlink:href="ffgc-08-1653665-g002.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">Line graph showing the percentage of timber from salvage logging from 2001 to 2021 for five countries: CZ, HR, DE, FIN, and ESP. DE starts high, decreases significantly, and fluctuates thereafter. CZ shows an increase with fluctuations. FIN peaks sharply around 2018. HR and ESP remain relatively low and stable.</alt-text>
</graphic>
</fig>
<p>In CZ and DE, there was a clear upward trend in the proportion of timber coming from salvage logging, particularly from 2015 onwards, likely related to the bark beetle crisis in CZ and extreme weather like drought in DE. In DE specifically, this increase represented a shift from the earlier declining trend and was marked by a considerable year-to-year variation, which increased unplanned timber extraction. In FIN, there was a notable spike around 2018, coinciding with a major windstorm and snow damage. In HR, the relative percentage of salvage logging remained consistently low throughout the period under consideration, though it showed some fluctuations. ESP maintained the lower, more stable proportions of salvage logging, indicating that their timber supply was primarily sourced from planned operations.</p>
</sec>
<sec id="sec8">
<label>3.2</label>
<title>Price trends across different wood assortments</title>
<p>For CZ (<xref ref-type="fig" rid="fig3">Figure 3</xref>), all prices of timber grades showed an upward trend until around 2007&#x2013;2008 (global financial crisis), followed by a decline and fluctuations in later years. Sawlog and pulpwood prices followed a similar trajectory, with notable fluctuations occurring from 2010 to 2020, with a slight recovery only for sawlogs in 2021. The energy wood prices were consistently lower than the other two assortments, with a drop in the late 2010s. In contrast, sawlog prices in HR remained relatively stable when considering the whole 2001&#x2013;2021 period, but experienced periodic peaks, possibly reflecting sporadic market disruptions. As for pulpwood, there is an increase from 2006 to 2009, where it remained stable and dropped in 2021. In the case of energy wood, the same as in CZ can be observed, it remained lower than the other two assortments but with less fluctuations than CZ. In the case of DE, the sawlog prices declined with fluctuations over time, while pulpwood prices exhibited an increasing trend until 2011&#x2013;2013, declining again afterwards. Wood energy prices remained relatively low and stable, with some moderate fluctuations. In FIN, price volatility was observed, particularly for sawlogs and pulpwood, with peaks around 2007&#x2013;2010 and subsequent declines. Energy wood prices remained more stable, but with a remarkable drop after 2007 and recovering by 2020&#x2013;2021 Finally, in ESP, sawlogs remained relatively stable over the period. However, pulpwood and energy wood showed important fluctuations, with important peaks during 2007&#x2013;2008 for pulpwood and 2009&#x2013;2010 for energy wood. Across the observed period, sawlog prices tended to be more stable over the long term (HR and ESP). Notably, CZ and FIN experienced market fluctuations, particularly for sawlogs and pulpwood prices. In contrast, DE and HR exhibited more moderate price movements. Finally, energy wood consistently remained the lowest-priced assortment.</p>
<fig position="float" id="fig3">
<label>Figure 3</label>
<caption>
<p>Inflation-adjusted price per cubic meter (USD/m3) for sawlogs, pulpwood and energy wood in each case study (CZ, HR, DE, FIN, and ESP) from 2001 to 2021. These metrics provide insights into the economic dynamics of the forest value chain and their resilience to market and environmental disturbances.</p>
</caption>
<graphic xlink:href="ffgc-08-1653665-g003.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">Five line graphs display the price per assortment of sawlogs, pulpwood, and energy wood from 2001 to 2021 in the Czech Republic (CZ), Croatia (HR), Germany (DE), Finland (FIN), and Spain (ESP). Each graph shows fluctuating trends, with varying peaks and troughs for each type of wood. The Czech Republic and Germany show higher peaks for sawlogs, while Finland exhibits significant market fluctuations. Croatia and Spain show varied price movements. Finally,energy wood prices remaining relatively lower in all case studies. Each graph includes a legend indicating the color-coded wood types.</alt-text>
</graphic>
</fig>
</sec>
<sec id="sec9">
<label>3.3</label>
<title>Resilience assessment</title>
<p>This section evaluates economic resilience by examining revenue behavior relative to the established upper (UTH) and lower thresholds (LTH) in response to natural disturbances, estimated by salvage logging (m3) (<xref ref-type="fig" rid="fig4">Figure 4</xref>). In CZ, the revenue exhibited a rather steady behavior after 2007, but presented several notable breaches over the UTH, with a maximum value of 6.1 million USD. Although salvage logging fluctuated, and followed peaks of revenue in 2007 and 2021, it does not appear to significantly buffer revenue losses, such as in 2009 or after 2011. In HR, the revenue initially remained within the thresholds, but it rose over the UTH after 2016, reaching a peak of 247.07 million USD, indicating a temporary surge in activity, likely as a compensatory harvesting following disturbance events. However, the moderate previous levels of salvage logging suggests that additional economic or policy mechanisms likely played a role in stabilizing revenue.</p>
<fig position="float" id="fig4">
<label>Figure 4</label>
<caption>
<p>Resilience assessment for CZ, HR, DE, FIN, and ESP from 2001 to 2021. The green line shows the revenue; the orange line represents salvage logging volume, a proxy of disturbance level, and the grey lines indicate the upper (Ec.UTH) and lower thresholds (Ec. LTH), specific for each case study, which depicts each case study&#x2019;s ability to maintain the revenue within certain levels (see Methods) thresholds despite natural disturbances. The first column &#x201C;Reference state&#x201D; displays the baseline thresholds, while the subsequent columns illustrate the sensitivity scenarios, where the Ec. LTH was adjusted by &#x00B1;10 and &#x00B1;50% to test the robustness of profitability assumptions.</p>
</caption>
<graphic xlink:href="ffgc-08-1653665-g004.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">Five rows of charts illustrate thresholds used to assess the ability to maintain revenue (green line) within defined levels despite natural disturbances represented by salvage logging (orange line). The comparison covers different scenarios, including the reference state and Ec-LTH scenarios at +10%, +50%, -10%, and -50%, showing varying impacts on revenue and salvage logging per country and scenario.</alt-text>
</graphic>
</fig>
<p>The German case study exhibited prolonged breaches of the UTH. It was significantly affected by Storm Lothar in 1999/2000, which led to a substantial reduction in timber stock. This decline resulted in a situation where standard harvesting levels necessitated an increase in harvesting intensity beyond sustainable limits. This disruption is reflected in the highest observed deviation from the UTH, reaching 1.8 million USD, which coincides with a peak in salvage logging following the storm event. Overall, sustained high revenue suggests a robust market response, supported either by increased timber prices or intensified harvesting efforts.</p>
<p>In FIN, the revenue showed dramatic spikes, from 2006 to 2012, peaking at 1.12 million USD. After this period, fluctuations were less extreme but still generally remained above the UTH. In contrast, the largest spike in salvage logging occurred in 2018, driven by a major disturbance event involving ice and storm damage. This disturbance resulted in only a moderate increase in revenue in 2019. However, the delayed revenue response in subsequent years suggests that surplus salvage timber was stored and gradually introduced to the market, contributing to a more stable revenue stream over time.</p>
<p>Finally, ESP presented multiple breaches of the UTH; particularly a sharp increase in 2018 coincided with major disturbance events, likely linked to 2017 wildfire season in Galicia as reflected in the peak of salvage logging. The highest revenue exceeded 1.9 million USD. Salvage logging events in ESP in the study period (2001&#x2013;2021) were often followed by a slight increase in revenue, however, these increases were typically temporary, with revenues declining in the years that followed.</p>
<p>ESP and CZ experienced the highest exceedances, suggesting that strong economic activity followed disturbance events. In contrast, DE and FIN showed moderated but sustained deviations, likely reflecting market adjustments such as increased salvage logging, changes in harvesting intensity, or pricing strategies to mitigate revenue losses. Finally, HR showed the lowest revenue exceedances, suggesting a more stable structure with less dependence on disturbance-driven harvesting.</p>
<p>The sensitivity analysis (<xref ref-type="fig" rid="fig4">Figure 4</xref>) tested how adjustments of the Ec.LTH by &#x00B1;10 and &#x00B1;50% influenced the classification of economic resilience across the five case studies. Results showed that moderate deviations (&#x00B1;10%) had minimal effect on the resilience status, as revenue trends generally remained within the defined Ec.UTH and lower bounds. In contrast, extreme adjustments (&#x00B1;50%) meaningfully affected the classification only in case where revenues were consistently near the lower threshold, such as HR and ESP, where minor declines pushed revenues below sustainability limits. The overall shape of the trajectories and distance between Ec.UTH and Ec.LTH remained stable, confirming that the threshold definition is robust under realistic profitability assumptions.</p>
</sec>
<sec id="sec10">
<label>3.4</label>
<title>Relationship between revenue and resilience predictors</title>
<p>The Spearman correlation (<xref ref-type="table" rid="tab2">Table 2</xref>) showed that revenue had a strong positive correlation with timber supply (HS.TS) in HR and a moderate correlation in CZ and FIN. Salvage logging only had a weak but significant correlation in HR. The percentage of salvage logging (Pct.HS.SL) showed significance only in HR, indicating this predictor had limited direct influence on revenue across most regions. For harvesting systems, the use of cut-to-length harvesting systems (HS.CTL) showed a strong positive correlation with revenue in the CZ and a moderate correlation in DE.</p>
<table-wrap position="float" id="tab2">
<label>Table 2</label>
<caption>
<p>Spearman correlation between the system variable revenue and significant resilience predictors for each case study during the considered period.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top">Case study</th>
<th align="center" valign="top">Strong correlation (<italic>&#x03C1;</italic> &#x003E;&#x202F;0.5)</th>
<th align="center" valign="top">Moderate correlation (0.3&#x202F;&#x003C; <italic>&#x03C1;</italic> &#x003C;&#x202F;0.5)</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="middle" rowspan="2">CZ</td>
<td align="center" valign="middle">HS.CTL (0.633)</td>
<td align="center" valign="middle" rowspan="2">HS.TS (0.445)</td>
</tr>
<tr>
<td align="center" valign="middle">MP.SP (0.552)</td>
</tr>
<tr>
<td align="left" valign="middle" rowspan="8">HR</td>
<td align="center" valign="middle">HS.TS (0.957)</td>
<td align="center" valign="middle" rowspan="8">&#x2013;</td>
</tr>
<tr>
<td align="center" valign="middle">TP.SP (0.949)</td>
</tr>
<tr>
<td align="center" valign="middle">TP.PP (0.949)</td>
</tr>
<tr>
<td align="center" valign="middle">MP.PP (0.613)</td>
</tr>
<tr>
<td align="center" valign="middle">MP.EP (0.609)</td>
</tr>
<tr>
<td align="center" valign="middle">HS.SL (0.594)</td>
</tr>
<tr>
<td align="center" valign="middle">MP.SP (0.541)</td>
</tr>
<tr>
<td align="center" valign="middle">Pct.HS.SL (0.516)</td>
</tr>
<tr>
<td align="left" valign="middle" rowspan="3">DE</td>
<td align="center" valign="middle" rowspan="2">MP.EP (0.667)</td>
<td align="center" valign="middle">TS.SP (0.318)</td>
</tr>
<tr>
<td align="center" valign="middle">MP.SP (0.307)</td>
</tr>
<tr>
<td align="center" valign="middle">MP.PP (0.580)</td>
<td align="center" valign="middle">HS.CTL (0.295)</td>
</tr>
<tr>
<td align="left" valign="middle" rowspan="2">FIN</td>
<td align="center" valign="middle">TP.SP (0.633)</td>
<td align="center" valign="middle" rowspan="2">HS.TS (0.445)</td>
</tr>
<tr>
<td align="center" valign="middle">MP.SP (0.552)</td>
</tr>
<tr>
<td align="left" valign="middle" rowspan="2">ESP</td>
<td align="center" valign="middle">MP.EP (0.667)</td>
<td align="center" valign="middle" rowspan="2">&#x2013;</td>
</tr>
<tr>
<td align="center" valign="middle">MP.PP (0.580)</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p>Significant correlations between the system variable, revenue, and predictors. &#x03C1; represents the Spearman correlation coefficient, and &#x03B1;&#x202F;=&#x202F;0.05. The table is organized from highest &#x03C1; to the lowest, to easily identify the strongest correlation in terms of effect size. The case studies are: CZ, Czechia; HR, Croatia; DE, Germany; FIN, Finland; ESP, Spain. Predictors: according to the clusters (<xref ref-type="table" rid="tab1">Table 1</xref>): Harvesting system (HS): HS-TS, Timber supply; HS.SL, the annual volume of salvage logging; Pct.HS.SL, the proportion of salvage logging relative to timber supply; HS.CTL. Timber production (TP): TP.SP, the volume of sawlogs produced; TP.PP, the volume of pulpwood produced. Finally, the market prices, MP. SP, price of sawlogs USD/m3; MP. PP, price of pulpwood USD/m3 and MP.EP, price of energy wood USD/m3.</p>
</table-wrap-foot>
</table-wrap>
<p>Regarding timber production variables, sawlog volume (TS.SP) displayed a strong positive correlation with revenue in HR and a moderate correlation in DE and FIN. Pulpwood volume (TP.PP) showed a significant correlation in HR. Market prices demonstrated significant correlations across several regions. Sawlog prices (MP.SP) showed a strong positive correlation in CZ and HR. Pulpwood prices (MP.PP) and Energy wood prices (MP.EP) were significantly correlated with revenue in HR, DE and ESP. For more detailed information about the correlation between the system variable, revenue, and the predictors, please go to <xref ref-type="supplementary-material" rid="SM1">Annex III</xref>.</p>
</sec>
<sec id="sec11">
<label>3.5</label>
<title>Multivariate analysis of revenue of resilience predictors through time</title>
<p>The PCA results across the five CS reflect varying levels of integration between disturbance-driven harvesting, silvicultural practices and market dynamics, offering insight into how each region responds to economic incentives and ecological pressures. The first two principal components explained substantial variance in each country (CZ: 79.3%, HR: 77.5%, DE: 76.1%, FIN: 70.2%, ESP: 69.0%; <xref ref-type="fig" rid="fig5">Figure 5</xref>), allowing for robust interpretation of the underlying resilience mechanisms affecting revenue streams. A table summarizing the PCA loadings for each case study is provided in <xref ref-type="supplementary-material" rid="SM1">Annex IV</xref> to highlight the relative importance of each variable and to support the interpretation of the results.</p>
<fig position="float" id="fig5">
<label>Figure 5</label>
<caption>
<p>Biplot of principal component analysis (PCA), for each case study (CZ, HR, DE, FIN, and ESP) considering predictors of revenue (represented by arrows). Arrows illustrate the direction and the magnitude of each variable&#x2019;s influence. The respective contributions of these variables to revenue are indicated by a color gradient. The observations, depicted as dots, correspond to different years, where &#x201C;1&#x201D; corresponds to the year 2001 and &#x201C;21&#x201D; to 2021. Temporal trajectories are shown by chronologically connecting yearly points to highlight transitions within their respect case study over time. The complete names of the variable abbreviations are provided in <xref ref-type="table" rid="tab1">Table 1</xref> of section &#x201C;2&#x201D;.</p>
</caption>
<graphic xlink:href="ffgc-08-1653665-g005.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">Five PCA biplots representing different countries: CZ, HR, DE, FIN, and ESP. Each plot displays variables and observations on axes labeled Dim1 and Dim2, with percentages indicating variance explained. Arrows represent variables with color-coded contributions, where red is the highest and blue the lowest. Countries have unique spreads and orientations for the variables MP.SP, MP.PP, MP.EP, TP.SP, TP.PP, TP.EP, HS.SL, HS.CTL, HS.TS, and Pct.HS.SL, highlighting different patterns in the data across dimensions.</alt-text>
</graphic>
</fig>
<p>According to the temporal patterns, CZ and ESP showed a transition from conventional forest management to a disturbance-driven system. Both countries exhibited a gradual shift where early years were market-oriented, while later years became increasingly dominated by salvage logging operations. Then, HR exhibits a divergent trajectory, some years strongly influenced by market prices while others are dominated by salvage logging, suggesting potentially competing management strategies. DE showed a cyclic pattern where salvage logging was important in the early years, followed by a regular period, and then intensification of salvage operations in the last years. Finally, FIN showed a distinct multi-phase pattern with an initial year&#x2019;s focus on energy wood, followed by a conventional sawlog orientation, then product-oriented practices with increased salvage logging, and finally, intensified salvage operations.</p>
<p>Regarding the market dynamics and price relationships, CZ and ESP showed sawlog price (MP.SP) separated from pulpwood and energy wood prices (MP.PP and MP.EP) likely reflecting market saturation from salvage logging volume depressing sawlog values. Then, HR showed market prices clustering together but somewhat separated from timber production variables, indicating distinct market dynamics that maintained partial independence from disturbance-driven production changes- a potential buffer against revenue volatility. The DE case study has market prices clustered in one quadrant during middle years and reduced influence during intensified salvage periods. FIN maintained more coherent market price dynamics despite changing production patterns. Potentially due to well-established international trade relationships and industrial capacity to absorb varying product qualities.</p>
<p>The disturbance response mechanisms are different in each of the case studies, CZ showed disturbance-driven harvesting as the primary structuring force with tight integration between salvage operations and production systems; HS.SL, HS.TS and HS.CTL, cluster together, indicating a unified response to disturbances. The salvage logging (HS.SL) in HR aligned with sawlog volume (TP.SP), suggesting salvage operations focus on recovering sawlog material, while total timber supply (HS.TS) aligned with pulpwood and energy wood production (TP.PP and TP.EP). Then, DE showed early engagement with salvage-focused management, with variables like total timber supply (HS.TS) and cut to length (HS.CTL) closely aligned. Uniquely, FIN separated the total timber supply (HS.TS) from salvage logging (HS.SL), indicating different dynamics in how disturbances affect total supply versus focused salvage operations.</p>
<p>From the technological adaptation, CZ, ESP and DE showed strong contribution of cut-to-length (HS.CTL) with disturbance vectors, implying technological adaptation optimized for efficiency in degraded stands. The HR case study with the use of horses (HS.H) was correlated with sawlog prices.</p>
<p>Finally, all five case studies have experienced shifts toward disturbance-driven forest management, but with distinct trajectories and adaptation mechanisms. However, the economic implications of this convergence varied considerably in the last years: CZ showed an association with energy wood, indicating a shift toward lower-value products, but maintained revenue streams. The patterns in HR diverge and suggest regional or operational differences in economic adaptation strategies. Due to the longer-term engagement with disturbance management in DE, it showed a cyclic pattern rather than a single transformation. FIN maintains more separation between different product categories despite increasing disturbance influence, and ESP demonstrated a strong-salvage logging focus without clear product differentiation.</p>
<p>The two-fixed effect models were estimated to explain within-country variation in the revenue across the five European case studies from 2001 to 2021 (<xref ref-type="table" rid="tab3">Table 3</xref>). Model A &#x201C;Scale effects&#x201D; (<xref ref-type="table" rid="tab4">Table 4</xref>) explained 56% of within-country variation in revenue (<italic>R</italic><sup>2</sup>&#x202F;=&#x202F;0.562). All coefficients were positive and statistically significant (<italic>p</italic>&#x202F;&#x003C;&#x202F;0.01). Planned harvest volume had the strongest impact: each additional cubic meter increased annual revenue by about 42 USD (&#x00B1;10). A 10 percentage-point rise in the proportion of salvage logging increased revenue by approximately 189,000 USD, indicating that large disturbance events temporarily boost output and sales. Mechanization (use of cut-to-length) also raised revenue, adding about 50 USD per additional percentage-point increase. Price index showed a strong positive effect (&#x2248; 0.5 million USD per unit change), confirming the central role of market conditions. The variance inflation factor (VIF) below 2 indicated no multicollinearity.</p>
<table-wrap position="float" id="tab3">
<label>Table 3</label>
<caption>
<p>Two way fixed-effects panel regression models explaining variation in revenue (2001&#x2013;2021).</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top">Variable</th>
<th align="center" valign="top">FE Model A (Scale) Estimate</th>
<th align="center" valign="top">FE Model A SE (clustered by year)</th>
<th align="center" valign="top">FE Model A <italic>p</italic>-value</th>
<th align="center" valign="top">FE Model B (Composition) Estimate</th>
<th align="center" valign="top">FE Model B SE (clustered by year)</th>
<th align="center" valign="top">FE Model B <italic>p</italic>-value</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="middle">HS_Planned, m<sup>3</sup></td>
<td align="center" valign="middle">42.254</td>
<td align="center" valign="middle">10.011</td>
<td align="center" valign="middle">0.0000958</td>
<td align="center" valign="middle">&#x2014;</td>
<td align="center" valign="middle">&#x2014;</td>
<td align="center" valign="middle">&#x2014;</td>
</tr>
<tr>
<td align="left" valign="middle">PCT_HS_SL01, 0&#x2013;1</td>
<td align="center" valign="middle">1889700</td>
<td align="center" valign="middle">526980</td>
<td align="center" valign="middle">0.0007321</td>
<td align="center" valign="middle">188815.333</td>
<td align="center" valign="middle">567121.377</td>
<td align="center" valign="middle">0.7405471</td>
</tr>
<tr>
<td align="left" valign="middle">HS_CTL, %</td>
<td align="center" valign="middle">49.715</td>
<td align="center" valign="middle">10.304</td>
<td align="center" valign="middle">1.227E-05</td>
<td align="center" valign="middle">40.056</td>
<td align="center" valign="middle">20.087</td>
<td align="center" valign="middle">0.0514932</td>
</tr>
<tr>
<td align="left" valign="middle">Price_Index</td>
<td align="center" valign="middle">501750</td>
<td align="center" valign="middle">102030</td>
<td align="center" valign="middle">8.872E-06</td>
<td align="center" valign="middle">509403.256</td>
<td align="center" valign="middle">131072.306</td>
<td align="center" valign="middle">0.0002947</td>
</tr>
<tr>
<td align="left" valign="middle">TP_SP, m<sup>3</sup></td>
<td align="center" valign="middle">&#x2014;</td>
<td align="center" valign="middle">&#x2014;</td>
<td align="center" valign="middle">&#x2014;</td>
<td align="center" valign="middle">20.523</td>
<td align="center" valign="middle">34.967</td>
<td align="center" valign="middle">0.5598431</td>
</tr>
<tr>
<td align="left" valign="middle">TP_PP, m<sup>3</sup></td>
<td align="center" valign="middle">&#x2014;</td>
<td align="center" valign="middle">&#x2014;</td>
<td align="center" valign="middle">&#x2014;</td>
<td align="center" valign="middle">35.189</td>
<td align="center" valign="middle">70.035</td>
<td align="center" valign="middle">0.6175131</td>
</tr>
<tr>
<td align="left" valign="middle">TP_EP, m<sup>3</sup></td>
<td align="center" valign="middle">&#x2014;</td>
<td align="center" valign="middle">&#x2014;</td>
<td align="center" valign="middle">&#x2014;</td>
<td align="center" valign="middle">14.482</td>
<td align="center" valign="middle">46.677</td>
<td align="center" valign="middle">0.7576275</td>
</tr>
<tr>
<td align="left" valign="middle">Observations (N)</td>
<td align="center" valign="middle">80</td>
<td/>
<td align="center" valign="middle">&#x2014;</td>
<td align="center" valign="middle">80</td>
<td/>
<td align="center" valign="middle">&#x2014;</td>
</tr>
<tr>
<td align="left" valign="middle"><italic>R</italic><sup>2</sup> (within)</td>
<td align="center" valign="middle">0.562</td>
<td/>
<td align="center" valign="middle">&#x2014;</td>
<td align="center" valign="middle">0.463</td>
<td/>
<td align="center" valign="middle">&#x2014;</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p>Results from two way fixed-effects panel regression models (Model A and B) testing influence of harvesting, mechanization, and market variables on the system variable, revenue. Model A &#x201C;Scale model&#x201D; includes planned harvest volume (HS_Planned), salvage share (PCT_HS_SL01), mechanization (HS_CTL), and the price index (Price_Index), while Model B &#x201C;Composition model&#x201D; replaces total harvest with product specific assortments (sawlogs, pulpwood and energy wood). Coefficients represent the estimated effect of each predictor on revenue, with standard error (SE) clustered by year and p-values indicating statistical significance (<italic>&#x03B1;</italic> =&#x202F;0.05). Both models were based on 80 observations across the five case studies (CZ, HR, DE, FIN, and ESP), capturing the temporal variation from 2001 to 2021. The estimate column shows the direction and magnitude of each variable&#x2019;s effect on revenue. The within <italic>R</italic><sup>2</sup> values indicate moderate explanatory power (between 0.3 and 0.6) and this allows the comparison between Model A and B in explaining within-country revenue variation over time.</p>
</table-wrap-foot>
</table-wrap>
<table-wrap position="float" id="tab4">
<label>Table 4</label>
<caption>
<p>Log-transformed two-way fixed-effects panel regression Model A.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top">Variable</th>
<th align="center" valign="top">Estimate (log)</th>
<th align="center" valign="top">SE (clustered by year)</th>
<th align="center" valign="top"><italic>p</italic>-value</th>
<th align="center" valign="top">Interpretation</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="middle">ln (1&#x202F;+&#x202F;HS_PLANNED)</td>
<td align="center" valign="middle">0.21513</td>
<td align="center" valign="middle">0.072613</td>
<td align="center" valign="middle">0.004591</td>
<td align="center" valign="middle">~0.22% &#x2191; revenue per 1% &#x2191; planned harvest</td>
</tr>
<tr>
<td align="left" valign="middle">PCT_HS_SL01 (0&#x2013;1)</td>
<td align="center" valign="middle">1.1513</td>
<td align="center" valign="middle">0.34889</td>
<td align="center" valign="middle">0.001751</td>
<td align="center" valign="middle">~11.5% &#x2191; revenue per +10&#x202F;pp. salvage share</td>
</tr>
<tr>
<td align="left" valign="middle">HS_CTL (%)</td>
<td align="center" valign="middle">0.000016995</td>
<td align="center" valign="middle">0.000005086</td>
<td align="center" valign="middle">0.00155</td>
<td align="center" valign="middle">Small positive semi-elasticity per 1&#x202F;pp. &#x2191; CTL</td>
</tr>
<tr>
<td align="left" valign="middle">Price_Index_POS</td>
<td align="center" valign="middle">0.29629</td>
<td align="center" valign="middle">0.059922</td>
<td align="center" valign="middle">8.357E-06</td>
<td align="center" valign="middle">~30% &#x2191; revenue per +1 SD price index</td>
</tr>
<tr>
<td align="left" valign="middle">Observations (N)</td>
<td align="center" valign="middle">79</td>
<td/>
<td align="center" valign="middle">&#x2014;</td>
<td/>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p>Results from the log-transformed two-way fixed-effects panel regression model (Model A) examining the effects of harvesting, mechanization, and market variables on forest-sector revenue. The log-transformed model captures proportional (percentage-based) relationships between predictors and revenue. The model includes the natural logarithm of planned harvest volume (LN_HS_Planned), the proportion of salvage logging (PCT_HS_SL01), mechanization level (HS_CTL), and the composite price index (Price_Index_POS). Coefficients represent the estimated elasticities, with standard errors (SE) clustered by year and <italic>p</italic>-values indicating statistical significance (<italic>&#x03B1;</italic>&#x202F;=&#x202F;0.05). Positive coefficients indicate variables associated with higher revenue growth rates. Based on 79 observations across the five case studies (CZ, HR, DE, FIN, and ESP) from 2001 to 2021.</p>
</table-wrap-foot>
</table-wrap>
<p>Model B &#x201C;Composition effects&#x201D; (<xref ref-type="table" rid="tab3">Table 3</xref>) replacing total harvest with the volume of each assortment the explanatory power decline (<italic>R</italic><sup>2</sup>&#x202F;=&#x202F;0.46). Volumes of sawlogs, pulpwood and energy wood were not statistically significant once price and mechanization were controlled for (<italic>p</italic>&#x202F;&#x003E;&#x202F;0.10). Only the price index remained significant (<italic>&#x03B2;</italic>&#x202F;=&#x202F;509403; <italic>p</italic>&#x202F;&#x003C;&#x202F;0.001), suggesting that short-term revenue fluctuations are driven mainly by market prices rather than shifts in harvest composition. VIFs (&#x2264;9) confirmed moderate correlation among product categories but acceptable model stability.</p>
<p>The log-scaled version of Model A (<xref ref-type="table" rid="tab4">Table 4</xref>) yielded consistent results and interpretable elasticities: a 1% increase in planned harvest raised revenue by 0.22%, a 10&#x202F;pp. increase in salvage share by &#x2248; 11%, and a one-standard deviation rise in the price by &#x2248; 30%. All effects remained significant at <italic>p</italic>&#x202F;&#x003C;&#x202F;0.01, confirming the robustness of the results. Then, across all specifications, harvest scale and market prices emerged as the dominant drivers of the system variable, revenue. Mechanization contributed positively, while the composition of harvest assortments showed limited influence. These results indicate that maintaining harvesting capacity and stable price levels is more critical to short-term economic resilience. Product composition plays a limited role once a total harvest, and price effects are controlled for.</p>
</sec>
</sec>
<sec sec-type="discussion" id="sec12">
<label>4</label>
<title>Discussion</title>
<p>Our analysis revealed that FVC resilience across the five case studies (CZ, HR, DE, FIN, and ESP) operated through distinct but interconnected mechanisms. The results demonstrate three core resilience dimensions: (1) resistance to market disruptions, (2) recovery capacity following disturbances, and (3) transformation potential through adaptive management. Two distinct adaptation strategies emerged: market-driven adaptation, characterized by price stability and steady timber assortments, and disturbance-driven adaptation, defined by reactive harvesting and technological optimization. The relative effectiveness of these strategies is shaped by regional contexts and disturbance patterns.</p>
<p>Building on the identified dimensions of resilience, consistent production volumes have been associated with reduced vulnerability to short-term market fluctuations, supporting findings by <xref ref-type="bibr" rid="ref32">Nikinmaa et al. (2020)</xref>. This relationship is evident in both PCA and later in the fixed-effects model, which confirmed a positive correlation between timber supply and revenue. In HR, timber supply showed the strongest correlation with revenue (see <xref ref-type="table" rid="tab2">Table 2</xref>). This could have reflected Croatia&#x2019;s regulated market structure, where Croatian State Forest controls distribution through a structured harvesting plan and fixed pricing mechanisms (<xref ref-type="bibr" rid="ref47">Sever and Horvat, 1999</xref>; <xref ref-type="bibr" rid="ref20">Jugovic, 2021</xref>). In contrast, moderate correlations in CZ and FIN suggest that other factors, such as disturbance severity, e.g., the large-scale bark beetle outbreak in CZ, also play a significant role in shaping economic outcomes.</p>
<p>The fixed-effects model was particularly valuable in isolating within-country temporal variation, thereby minimizing bias from structural differences such as ownership regimes, institutional frameworks, or ecological conditions (<xref ref-type="bibr" rid="ref60">Wooldridge, 2010</xref>). This approach allowed for more accurate identification of the key dynamic factors influencing revenue stability across time rather than across regions. By controlling unobserved heterogeneity, the model strengthens the robustness of the observed relationship between harvesting intensity, mechanization, and price trends; factors previously highlighted as central to forest sector resilience (<xref ref-type="bibr" rid="ref13">Hanewinkel et al., 2014</xref>; <xref ref-type="bibr" rid="ref9002">Blattert et al., 2023</xref>). Consequently, the fixed-effects model results provide a solid empirical foundation for linking observed market responses to adaptive management mechanisms within national FVCs.</p>
<p>Price trend analysis also revealed regional and timber assortment variations. In general, sawlog prices exhibited greater long-term stability, particularly in HR and ESP, while pulpwood and energy wood prices were more volatile, reflecting external economic shocks, climate-related disturbances and dynamic markets. This relative stability in sawlog prices can be attributed to well-established market structures, as supported by <xref ref-type="bibr" rid="ref54">Toppinen and Kuuluvainen (2010)</xref>, who emphasized that mature market systems can enhance resilience through improved price transmission. These results challenge simplified assumptions that disturbance events inevitably cause price collapse. Consistent with <xref ref-type="bibr" rid="ref1">Asada et al. (2023)</xref>, disturbances may actually lead to an undersupply of high-quality (sawlogs, either due to a reduction in regular harvesting activities or the downgrading of damaged timber) thereby raising sawlog prices rather than crashing them. Notably, energy wood was consistently priced lower across the case studies, with CZ and FIN experiencing significant energy wood price drops in the late 2010s. This price volatility might reflect seasonal in demand fluctuation of energy wood, as storage facilities primarily meet cold-weather needs rather than maintain strategic reserves. Unlike other timber assortments where storage can serve strategic purposes (allowing purchase when prices are low) (<xref ref-type="bibr" rid="ref23">Krist&#x00F6;fel et al., 2014</xref>; <xref ref-type="bibr" rid="ref44">Schipfer et al., 2020</xref>) energy wood cannot be easily accumulated. This leaves its market more exposed to short-term demand swings.</p>
<p>Beyond timber supply and pricing mechanisms, the effect of salvage logging was context-dependent. On the one hand, salvage logging operations provided immediate economic relief by capturing value from damaged timber that would otherwise be lost. In the short- term, this can boost harvested volume and revenue. The fixed-effects model indicated that years with higher proportions of salvage wood were often associated with a bump increase in total revenue, reflecting the influx of additional volume to the market. These findings are consistent with <xref ref-type="bibr" rid="ref37">Holmes et al. (2008)</xref>, who noted that salvage logging tended to coincide with subsequent market instability and longer-term price depression, especially for lower-grade wood, as well as raised concerns about overharvesting.</p>
<p>In CZ and DE, where disturbance-driven management increasingly dominated, a more strategic management can improve their overall outlook. As <xref ref-type="bibr" rid="ref25">Leverkus et al. (2021)</xref>, showed well-implemented salvage operations, alongside mechanized harvesting tailored to local conditions, mitigated short-term economic losses. In contrast, HR&#x2019;s limited reliance on salvage logging corresponded with more stable revenues, aligning with <xref ref-type="bibr" rid="ref58">Vuleti&#x0107; et al.&#x2019;s (2014)</xref> recommendation for rapid damage assessment frameworks that enable timely market responses and prevent cascading effects. While salvage logging reflects short-term operational responses, broader patterns in revenue offer insight into how different regions absorb and recover from market shocks.</p>
<p>The resilience assessment showed that revenue patterns further illustrated regional variation. In CZ and ESP, revenue spikes following disturbances indicate a strong price effect, where reduced supply or increased demand temporarily boosted revenues. However, sustained breaches of the upper economic resilience threshold suggest a lack of buffering mechanisms and reliance on reactive strategies (<xref ref-type="bibr" rid="ref43">Schelhaas et al., 2018</xref>). In contrast, FIN and DE showed delayed but stable responses, reflecting the use of storage and phased market release to maintain price stability (<xref ref-type="bibr" rid="ref36">Prestemon and Holmes, 2004</xref>; <xref ref-type="bibr" rid="ref13">Hanewinkel et al., 2014</xref>). While HR exhibited steadier but less extreme fluctuations, likely due to administrative management rather than market-driven adaptation. However, this approach raised sustainability concerns, particularly when harvesting intensity exceeded ecological limits, illustrating the tension between short-term recovery and long-term forest health (<xref ref-type="bibr" rid="ref38">Puettmann et al., 2015</xref>).</p>
<p>In addition, the technological capabilities of each case study also played a key role in enhancing resilience. Mechanized harvesting systems allowed continued productivity under difficult conditions, supporting <xref ref-type="bibr" rid="ref14">Hansen and Juslin&#x2019;s (2005)</xref> findings on the value of innovation in supporting value-added forestry. The fixed-effects model including mechanization reinforces that higher levels of mechanized harvesting capacity were associated with a smaller drip in harvested volume during disturbance years, suggesting that technology helped dampen the impact of disturbances on production. Tailored deployment of these technologies proved effective in various disturbance contexts. Notably, traditional methods retained relevance in specific settings: in HR, horse extraction (HS.H) correlated positively with sawlog prices, indicating that selective, high-value timber harvesting remains economically viable in certain contexts. This highlights the need for context-sensitive approaches rather than universal reliance on technology.</p>
<p>Among the mechanisms contributing to market flexibility, timber assortment played a particularly important role, especially during supply fluctuations. The segmentation between sawlogs and lower-value assortment illustrates how markets responded to changing supply conditions. This aligns with <xref ref-type="bibr" rid="ref4">B&#x0159;ezina et al.&#x2019;s (2024)</xref> market saturation theory, which emphasizes the importance of timber assortments during oversupply to maintain timber value. However, results from the composition model (Model B) showed that changes in the relative volumes of sawlogs, pulpwood, and energy wood were not statistically significant predictors of revenue after controlling for price and mechanization. These findings suggested that short-term economic performance depended more on price dynamics than on shifts in harvesting composition, while long-term resilience was linked to the structural benefits of diversification. Enterprises focusing narrowly on a few assortments are likely to face higher processing and transport costs, reduced market flexibility, and greater exposure to price volatility (<xref ref-type="bibr" rid="ref24">Latta et al., 2013</xref>; <xref ref-type="bibr" rid="ref15">Hetem&#x00E4;ki and Hurmekoski, 2016</xref>). In contrast, maintaining a balanced assortment mix enables cost efficiency and adaptive relocation among markets when shocks occur (like FIN; <xref ref-type="bibr" rid="ref54">Toppinen and Kuuluvainen, 2010</xref>; <xref ref-type="bibr" rid="ref22">Koch et al., 2012</xref>). Thus, even though short-term effects were statistically weak, strategic assortment diversification remains a key determinant of long-term economic resilience for the FVC.</p>
<p>The interplay of the above factors led to distinct regional outcomes that subsequently evolved over time as markets adjusted to repeated shocks. Temporal patterns from PCA revealed evolving market structures, especially in regions with longer disturbance histories have undergone adaptive market development. For example, DE exhibited a cyclical price pattern, with temporary price decoupling during salvage peaks followed by a return to stability, illustrating the market&#x2019;s adaptive adjustments. These findings support the view of markets as dynamic systems capable of evolving resilience through repeated exposure to shocks (<xref ref-type="bibr" rid="ref42">Scharte, 2024</xref>). These changes are also shaped by external factors, like global market integration. In FIN, international trade linkages helped stabilize prices despite supply fluctuations, extending <xref ref-type="bibr" rid="ref39">Rametsteiner et al.&#x2019;s (2007)</xref> work on forest sector competitiveness. However, global integration can also increase exposure to volatility and the risk of overexploitation (<xref ref-type="bibr" rid="ref17">Hoang and Kanemoto, 2021</xref>), highlighting the need for region-specific strategies. Notably, the long-term impacts of the 2008 financial crisis were particularly notable in some regions (<xref ref-type="bibr" rid="ref51">Suchomel et al., 2012</xref>; <xref ref-type="bibr" rid="ref52">Sujova, 2015</xref>), with recovery trajectories shaped by regional industrial structures and international trade connectivity.</p>
<p>Institutional legacies, regulatory mandates, disturbance regimes, and industrial capacities jointly shaped the adaptation pathways across the five cases. In Croatia, a state-led forest governance model with long-term harvested plans and fixed pricing constrained excessive swings in supply and enabled a &#x201C;market-driven&#x201D; approach. In the Czech case, severe spruce bark beetle outbreaks, combined with legal obligations for prompt sanitary felling, led to a surge in salvage logging. The prevalence of contractor-based operations and widespread use of CTL systems facilitated rapid extraction that frequently exceeded planned harvested levels (<xref ref-type="bibr" rid="ref16">Hl&#x00E1;sny et al., 2019</xref>). In Germany&#x2019;s Upper Rhine case study, the processing capacity forced the use of external contractors when windstorm damage occurred. Finland&#x2019;s case, rooted in private, cooperative forestry with strong industry integration, allowed flexibility in assortments and smoothed out shock impacts, thereby tempering disturbance-driven pluses. Galicia, the Spanish case study, with fragmented private ownership and frequent wildfires, led to reactive salvage management type, often channeling burnt wood into biomass or pulp markets. In summary, Croatian&#x2019;s configuration favored a stable, market-aligned adaptation; Czechia&#x2019;s policy and disturbance context turned its path into a technology-intensive, disturbance-driven model. The other case lay between these poles: Germany mixed planning with episodic reactions, Finland smoothed over disturbance cycles through industrial leverage, and Spain&#x2019;s wildfire regime pushed it toward a reactive harvesting orientation. Ultimately, these findings highlight that responses to disturbance events were shaped by a combination of disturbance regimes, ownership structure, regulatory frameworks, and local processing capacities, underscoring the need for a context-tailored resilience strategy.</p>
<p>Overall, regions with more regulated and moderate market responses (HR, DE, FIN) achieved more stable revenue trajectories. In contrast, market-driven systems (CZ, ESP) experienced sharper but less durable recoveries. These results underscore the trade-offs between short-term gains and long-term resilience. Effective FVC resilience depends on adaptive management and wood processing that integrates economic stability with ecological sustainability, thereby promoting multifunctional forest systems rather than focusing solely on economic objectives (<xref ref-type="bibr" rid="ref29">Messier et al., 2021</xref>; <xref ref-type="bibr" rid="ref18">Hoeben et al., 2025</xref>).</p>
<p>Despite the study&#x2019;s comprehensive scope, several limitations should be noted. It focused on five European regions, limiting generalizability to other ecological or institutional settings. Enterprise-level factors such as labor availability, investment decisions, and operational costs (though influential) were not fully captured, underscoring the need for improved databases. In addition, the resilience assessment relied primarily on revenue as a system variable. While revenue offers a consistent and comparable measure across countries, it does not capture other critical dimensions of enterprise resilience, such as profit margins, liquidity, or employment stability. Future research should therefore incorporate a broader set of economic and social descriptors to complement revenue-based analyses. Furthermore, salvage logging data, while widely used, are subject to reporting inconsistencies and temporal mismatches in how harvested volumes are introduced to markets. These limitations highlight the need for more systematic and harmonized salvage logging records across Europe. Finally, while policy frameworks were acknowledged, they were not analyzed in depth and, the resilience assessment was based primarily on revenue metrics; key economic instruments such as subsidies, taxation, and insurance remain underexplored. Future research should integrate these dimensions to provide a more comprehensive view of FVC resilience.</p>
</sec>
<sec sec-type="conclusions" id="sec13">
<label>5</label>
<title>Conclusion</title>
<p>Several key patterns emerged from this analysis. First, across all the case studies, total timber supply and market prices consistently emerged as an important predictor of economic stability. Second, salvage logging played a more complex role, functioning as a short-term stabilizing mechanism while potentially contributing to long-term market disruption when exceeding sustainable limits. Third, technological advancements in harvesting operations served as a resilience booster, allowing forest enterprises to maintain productivity under adverse conditions.</p>
<p>The findings suggest that regional approaches to resilience reflect both structural market conditions and disturbance histories. The analysis also offers valuable opportunities for regions to learn from each other. Regions with more reactive, disturbance-drive systems could benefit from adopting elements of structured pricing, assortment diversification, and market buffering observed in HR and FIN. Conversely, countries with regulated systems may draw on the CZ and DE experience to integrate flexible, technology-supported harvesting strategies, particularly in response to increasing disturbance frequency.</p>
<p>From a policy perspective, several implications emerge. Resilience can be enhanced through targeted support for timber assortment differentiation, storage infrastructure, and price stabilization mechanisms, which help mitigate the economic effects of supply shocks. Furthermore, sustainable salvage logging protocols and investment in harvesting technologies should be embedded with broader forest policy frameworks to avoid long-term market disruption. Improved data availability, particularly regarding timber prices, product flow and resilience indicators, is essential for evidence-based decision-making. Finally, fostering coordination across national and international markets is increasingly important in a globalized context where local disturbances can have transboundary economic effects.</p>
<p>These findings translate into actionable strategies at different scales. At the enterprise level, resilience can be strengthened by investing in flexible processing lines for assortment diversification, establishing on-site or corporative storage yards to buffer market volatility, and adopting precision harvesting systems such as cut-to-length to improve efficiency during salvage logging operations. At the regional level, measures include cooperative storage facilities, coordinated pricing mechanisms, and standardized salvage protocols. At the policy level, empirical results point to specific priorities: in CZ and ESP, the strong correlation of CTL systems with revenue resilience supports financial incentives for precision forestry technologies in disturbance-prone areas; in DE, where salvage logging was noticeable driver, developing strategic wood reserves would help mitigate market gluts; in FIN, the stabilizing role of industrial diversity highlights the importance of policies that supports assortment diversification and export flexibility; and in HR, regulated supply structures suggest that price stabilization schemes embedded in long-term contracts may be particularly effective.</p>
</sec>
</body>
<back>
<sec sec-type="data-availability" id="sec14">
<title>Data availability statement</title>
<p>The original contributions presented in this study are included in this article/<xref ref-type="supplementary-material" rid="SM1">Supplementary material</xref>, further inquiries can be directed to the corresponding author.</p>
</sec>
<sec sec-type="author-contributions" id="sec15">
<title>Author contributions</title>
<p>SG-J: Conceptualization, Data curation, Formal analysis, Investigation, Methodology, Software, Writing &#x2013; original draft, Writing &#x2013; review &#x0026; editing, Visualization. AB: Conceptualization, Visualization, Writing &#x2013; review &#x0026; editing, Investigation, Methodology. TS: Validation, Conceptualization, Methodology, Writing &#x2013; review &#x0026; editing, Visualization. ML: Validation, Funding acquisition, Project administration, Visualization, Writing &#x2013; original draft. FL: Conceptualization, Writing &#x2013; review &#x0026; editing, Validation, Methodology, Visualization. SU: Methodology, Visualization, Investigation, Writing &#x2013; review &#x0026; editing. RA: Writing &#x2013; review &#x0026; editing, Methodology, Visualization, Formal analysis. JP: Writing &#x2013; review &#x0026; editing, Methodology, Data curation. ON: Methodology, Writing &#x2013; review &#x0026; editing, Data curation. DV: Data curation, Writing &#x2013; review &#x0026; editing. MP: Data curation, Writing &#x2013; review &#x0026; editing. LB: Data curation, Writing &#x2013; review &#x0026; editing. MJ: Investigation, Conceptualization, Writing &#x2013; review &#x0026; editing, Writing &#x2013; original draft, Funding acquisition, Supervision, Visualization, Validation, Resources.</p>
</sec>

<sec sec-type="COI-statement" id="sec17">
<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>
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<title>Generative AI statement</title>
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<title>Supplementary material</title>
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</ref-list><fn-group><fn id="fn0001" fn-type="custom" custom-type="edited-by"><p>Edited by: <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/794851/overview">Astrid Moser-Reischl</ext-link>, Technical University of Munich, Germany</p></fn>
<fn id="fn0002" fn-type="custom" custom-type="reviewed-by"><p>Reviewed by: <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/3202487/overview">Basanta Lamsal Basanta Lamsal</ext-link>, Michigan State University, United States; <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/3202920/overview">Xiangyu Huang</ext-link>, Central South University of Forestry and Technology, China</p></fn></fn-group></back>
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