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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Sustain. Energy Policy</journal-id>
<journal-title-group>
<journal-title>Frontiers in Sustainable Energy Policy</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Sustain. Energy Policy</abbrev-journal-title>
</journal-title-group>
<issn pub-type="epub">2813-4982</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.3389/fsuep.2025.1663065</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>Assessing environmental sustainability under risk and governance pressures: new insights from Canada</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name><surname>Ullah</surname> <given-names>Sami</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="Conceptualization" vocab-term-identifier="https://credit.niso.org/contributor-roles/conceptualization/">Conceptualization</role>
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<uri xlink:href="https://loop.frontiersin.org/people/2736860"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name><surname>Lin</surname> <given-names>Boqiang</given-names></name>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
<xref ref-type="aff" rid="aff3"><sup>3</sup></xref>
<xref ref-type="corresp" rid="c001"><sup>&#x0002A;</sup></xref>
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<aff id="aff1"><label>1</label><institution>School of Economics and Management, Northeast Petroleum University</institution>, <city>Daqing</city>, <country country="cn">China</country></aff>
<aff id="aff2"><label>2</label><institution>School of Management, China Institute for Studies in Energy Policy, Collaborative Innovation Center for Energy Economics and Energy Policy, Xiamen University</institution>, <city>Xiamen, Fujian</city>, <country country="cn">China</country></aff>
<aff id="aff3"><label>3</label><institution>Advanced Interdisciplinary Research Center, City University of Macau</institution>, <city>Macao</city>, <country country="cn">China</country></aff>
<author-notes>
<corresp id="c001"><label>&#x0002A;</label>Correspondence: Boqiang Lin, <email xlink:href="mailto:bqlin@xmu.edu.cn">bqlin@xmu.edu.cn</email>; <email xlink:href="mailto:bqlin2004@vip.sina.com">bqlin2004@vip.sina.com</email></corresp>
</author-notes>
<pub-date publication-format="electronic" date-type="pub" iso-8601-date="2025-12-02">
<day>02</day>
<month>12</month>
<year>2025</year>
</pub-date>
<pub-date publication-format="electronic" date-type="collection">
<year>2025</year>
</pub-date>
<volume>4</volume>
<elocation-id>1663065</elocation-id>
<history>
<date date-type="received">
<day>10</day>
<month>07</month>
<year>2025</year>
</date>
<date date-type="rev-recd">
<day>23</day>
<month>09</month>
<year>2025</year>
</date>
<date date-type="accepted">
<day>10</day>
<month>11</month>
<year>2025</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#x000A9; 2025 Ullah and Lin.</copyright-statement>
<copyright-year>2025</copyright-year>
<copyright-holder>Ullah and Lin</copyright-holder>
<license>
<ali:license_ref start_date="2025-12-02">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>Environmental sustainability is a central concern in environmental economics, yet the effects of institutional quality and macroeconomic risks on sustainability outcomes remain underexplored, particularly in developed economies. This study examines how economic policy uncertainty (EPU), political risk (PRI), and governance quality (GOV) influence environmental sustainability in Canada, using the load capacity factor as a proxy. Utilizing quarterly data from 1990 to 2022, we apply the quantile-on-quantile regression method to capture heterogeneous and nonlinear relationships across different levels of environmental performance. Robustness is ensured through wavelet coherence analysis. The results reveal that EPU positively affects sustainability at higher quantiles, possibly due to precautionary shifts in policy or investment behavior. PRI also contributes positively in high-risk settings, reflecting the role of political institutions in environmental governance. Strong governance exhibits a consistently favorable impact across quantiles. Moreover, environmental innovation strengthens the positive effects of all three variables. These findings underscore the importance of adaptive institutions, risk-aware policymaking, and innovation-driven strategies for advancing environmental sustainability.</p></abstract>
<kwd-group>
<kwd>political risk</kwd>
<kwd>economic policy uncertainty</kwd>
<kwd>governance</kwd>
<kwd>environmental sustainability</kwd>
<kwd>quantile-on-quantile regression</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. This paper was supported by the National Natural Science Foundation of China (Key Program, No. 72133003) and Key Projects of Philosophy and Social Sciences Research, Ministry of Education, (No. 22JZD008).</funding-statement>
</funding-group>
<counts>
<fig-count count="15"/>
<table-count count="10"/>
<equation-count count="6"/>
<ref-count count="98"/>
<page-count count="20"/>
<word-count count="9647"/>
</counts>
<custom-meta-group>
<custom-meta>
<meta-name>section-at-acceptance</meta-name>
<meta-value>Policy and Environmental Impact</meta-value>
</custom-meta>
</custom-meta-group>
</article-meta>
</front>
<body>
<sec sec-type="introduction" id="s1">
<label>1</label>
<title>Introduction</title>
<p>Climate change has emerged as one of the most pressing global challenges, with regions worldwide experiencing unprecedented temperature increases, prolonged droughts, and declining precipitation levels (<xref ref-type="bibr" rid="B95">Zhang L. et al., 2024</xref>; <xref ref-type="bibr" rid="B40">Kim et al., 2025</xref>; <xref ref-type="bibr" rid="B86">Yang et al., 2025</xref>). These climatic changes significantly affect human well-being and economic activities, reinforcing the urgent call for sustainable environmental policies (<xref ref-type="bibr" rid="B30">Hsu et al., 2024</xref>; <xref ref-type="bibr" rid="B31">Hu et al., 2025</xref>; <xref ref-type="bibr" rid="B82">Xu et al., 2025</xref>). International agreements such as the Paris Agreement and commitments reaffirmed at COP26 and COP28 highlight the global consensus on adopting sustainable growth strategies. Yet, despite these pledges, achieving environmental sustainability remains complex, influenced by a mix of economic, political, and institutional dynamics (<xref ref-type="bibr" rid="B20">Chen et al., 2021</xref>; <xref ref-type="bibr" rid="B48">Mohiuddin et al., 2025</xref>; <xref ref-type="bibr" rid="B69">Talema and Nigusie, 2024</xref>).</p>
<p>Previous research has typically examined environmental sustainability using proxies such as carbon emissions and ecological footprints, which primarily capture demand-side pressures (<xref ref-type="bibr" rid="B44">Lin and Ullah, 2024</xref>; <xref ref-type="bibr" rid="B70">Ullah and Lin, 2025a</xref>). Recently, the load capacity factor (LC) has been introduced as a more comprehensive metric, incorporating both ecological supply and human demand. An LC value greater than one indicates ecological balance, whereas values below one signal ecological stress (<xref ref-type="bibr" rid="B60">Siche et al., 2010</xref>). As LC integrates both supply and demand dimensions, it offers a robust measure of sustainability, making it highly relevant for this study (<xref ref-type="bibr" rid="B54">Pata et al., 2023a</xref>).</p>
<p>Among the critical determinants of sustainability are economic and political uncertainties, which shape policy design, investment flows, and environmental outcomes (<xref ref-type="bibr" rid="B22">Dao et al., 2024</xref>; <xref ref-type="bibr" rid="B65">Sugar, 2024</xref>; <xref ref-type="bibr" rid="B93">Yuan et al., 2024</xref>). For instance, economic policy uncertainty (EPU) often deters investment in clean energy and green technologies, as firms hesitate to commit resources amid unstable policy conditions (<xref ref-type="bibr" rid="B7">Al-Thaqeb and Algharabali, 2019</xref>; <xref ref-type="bibr" rid="B8">Amin and Dogan, 2021</xref>; <xref ref-type="bibr" rid="B34">Jin et al., 2018</xref>). Likewise, political risk (PRI)&#x02014;manifested through instability, shifting regulations, or policy volatility&#x02014;can either obstruct or accelerate environmental initiatives (<xref ref-type="bibr" rid="B13">Aslan et al., 2024</xref>; <xref ref-type="bibr" rid="B15">Baker et al., 2016</xref>). In contrast, effective governance (GOV), characterized by institutional quality, accountability, and regulatory enforcement, provides the enabling conditions for sustainable development (<xref ref-type="bibr" rid="B96">Zhang S. et al., 2024</xref>). Although prior studies have investigated these factors individually, very limited research has considered their joint and interactive influence on sustainability outcomes (<xref ref-type="bibr" rid="B9">Andlib et al., 2024</xref>; <xref ref-type="bibr" rid="B16">Balsalobre-Lorente et al., 2024</xref>; <xref ref-type="bibr" rid="B43">Li W. et al., 2023</xref>).</p>
<p>The Canadian context offers a unique setting for analyzing these dynamics. First, Canada is disproportionately affected by climate change, facing rising sea levels, frequent wildfires, and ecosystem degradation&#x02014;threats that endanger Indigenous communities, physical infrastructure, and biodiversity. Second, Canada&#x00027;s pledge to achieve net-zero emissions by 2050 underscores the central role of governance and policy stability in meeting climate commitments. Yet, uncertainties in economic policies, political shifts, and regulatory enforcement could undermine these objectives. Third, as a resource-dependent economy, Canada embodies the global trade-off between economic growth, resource reliance, and environmental regulation, making it a valuable case for broader policy discussions.</p>
<p>Despite increasing scholarly attention, significant gaps remain. First, most studies have relied on carbon emissions or ecological footprints, while the LC index as a sustainability indicator remains underexplored. Second, little is known about how EPU, PRI, and GOV collectively shape environmental sustainability, especially in resource-intensive economies such as Canada. Third, the potential moderating role of environmental innovation&#x02014;as a mechanism to offset risks posed by uncertainty&#x02014;has been largely overlooked. Addressing these gaps, this study applies quantile-on-quantile regression (QQR) to examine the heterogeneous effects of EPU, PRI, and GOV on sustainability (proxied by LC) under varying ecological conditions. Additionally, we assess whether environmental innovation mitigates the adverse effects of policy uncertainty and political risk, thereby strengthening sustainability pathways.</p>
<p>This study makes four key contributions. First, it broadens the literature on economic and political risks by applying LC, a more holistic sustainability indicator that captures ecological supply and demand. Second, it provides empirical evidence from Canada, offering insights transferable to other economies balancing resource dependence and sustainability goals. Third, by employing QQR and wavelet coherence models, the study ensures robustness while capturing nonlinear, asymmetric dynamics often missed in conventional models. Finally, the paper delivers policy-relevant contributions by highlighting the role of stable economic policies, strong governance, and environmental innovation in achieving sustainability. These findings directly support SDG 7 (Affordable and Clean Energy), SDG 13 (Climate Action), and SDG 16 (Peace, Justice, and Strong Institutions), thus aligning with international sustainability agendas.</p></sec>
<sec id="s2">
<label>2</label>
<title>Theoretical linkages and past literature</title>
<sec>
<label>2.1</label>
<title>Theoretical mechanism</title>
<p>Achieving environmental sustainability requires an integrated understanding of how economic and political dynamics interact with governance structures. The influence of economic policy uncertainty (EPU), political risk (PRI), and governance (GOV) on sustainability (measured by the load capacity factor, LC) can be explained through several theoretical lenses.</p>
<p>Real Options Theory suggests that uncertainty increases the value of delaying investments in long-term projects (<xref ref-type="bibr" rid="B19">Chakraborty et al., 2025</xref>; <xref ref-type="bibr" rid="B23">Dixit and Pindyck, 1994</xref>). In contexts of high EPU, firms are likely to postpone or reduce investment in clean energy infrastructure, as unpredictable policies increase financial risk (<xref ref-type="bibr" rid="B18">Bloom, 2009</xref>; <xref ref-type="bibr" rid="B79">Wang et al., 2025</xref>). This dynamic undermines decarbonization pathways by creating hesitation in adopting green technologies.</p>
<p>Porter&#x00027;s Hypothesis and innovation-driven growth theory argue the opposite: under certain regulatory environments, policy uncertainty can stimulate proactive investment in eco-friendly technologies as firms hedge against future regulatory shifts (<xref ref-type="bibr" rid="B85">Yang et al., 2023</xref>). Hence, well-designed policies, even amid uncertainty, can catalyze green innovation and competitive advantage (<xref ref-type="bibr" rid="B55">Pata et al., 2023b</xref>; <xref ref-type="bibr" rid="B56">Porter and Van Der Linde, 1995</xref>; <xref ref-type="bibr" rid="B88">Yasin et al., 2024</xref>).</p>
<p>Institutional Theory emphasizes the importance of strong political institutions for environmental governance (<xref ref-type="bibr" rid="B50">North, 1990</xref>). Political instability weakens policy enforcement, enabling regulatory gaps, corruption, and unsustainable practices (<xref ref-type="bibr" rid="B26">Garfinkel and Skaperdas, 2000</xref>; <xref ref-type="bibr" rid="B45">Liu et al., 2023</xref>). However, under the conflict-resolution and political legitimacy hypotheses, unstable governments may adopt stringent environmental laws to build legitimacy or attract foreign investment, paradoxically enhancing sustainability under certain conditions.</p>
<p>Finally, the environmental governance framework underscores that robust governance reduces corruption, improves regulatory enforcement, and facilitates public&#x02013;private partnerships (<xref ref-type="bibr" rid="B52">Ostrom, 1990</xref>; <xref ref-type="bibr" rid="B74">Ulussever et al., 2024</xref>; <xref ref-type="bibr" rid="B80">Wine, 2019</xref>). Conversely, weak governance leads to fragmented policies, deterring green investment and exacerbating ecological degradation (<xref ref-type="bibr" rid="B17">Barbier, 2010</xref>; <xref ref-type="bibr" rid="B98">Zhang and Wen, 2023</xref>).</p>
<p>This study integrates these perspectives into a unifying framework. We posit that EPU and PRI create risks that can either delay or, under certain conditions, accelerate green transitions, while governance provides the institutional backbone that determines the effectiveness of sustainability policies. Moreover, environmental innovation is expected to moderate these effects, reducing the adverse impacts of uncertainty and political instability. <xref ref-type="fig" rid="F1">Figure 1</xref> illustrates the conceptual framework of this study.</p>
<fig position="float" id="F1">
<label>Figure 1</label>
<caption><p>Conceptual framework diagram.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fsuep-04-1663065-g0001.tif">
<alt-text content-type="machine-generated">Diagram showing the relationships between economic policy uncertainty, political risk, and governance influencing environmental innovation, all contributing to environmental sustainability. Arrows indicate the flow of influence.</alt-text>
</graphic>
</fig></sec>
<sec>
<label>2.2</label>
<title>Literature review</title>
<p>The relationship between uncertainty, governance, and environmental sustainability has been widely debated, though findings remain mixed.</p>
<sec>
<label>2.2.1</label>
<title>Economic policy uncertainty</title>
<p>Several studies report that EPU undermines green investment and ecological quality by discouraging firms from committing to clean technologies (<xref ref-type="bibr" rid="B71">Ullah and Lin, 2025b</xref>,<xref ref-type="bibr" rid="B72">c</xref>; <xref ref-type="bibr" rid="B76">Villanthenkodath and Pal, 2024</xref>). However, others find that uncertainty may push firms toward adaptive innovation and greener practices (<xref ref-type="bibr" rid="B25">Farid and Zafar, 2024</xref>; <xref ref-type="bibr" rid="B33">Jiao et al., 2022</xref>), consistent with the Porter Hypothesis. Recent works (<xref ref-type="bibr" rid="B37">Kartal et al., 2023</xref>; <xref ref-type="bibr" rid="B83">Xue et al., 2022</xref>), highlight that the effects of EPU are nonlinear and context-specific, depending on institutional capacity and market maturity.</p></sec>
<sec>
<label>2.2.2</label>
<title>Political risk</title>
<p>Many studies suggest that higher PRI undermines environmental sustainability by weakening regulatory enforcement and deterring investment (<xref ref-type="bibr" rid="B14">Ayhan et al., 2023</xref>; <xref ref-type="bibr" rid="B38">Khan et al., 2023</xref>; <xref ref-type="bibr" rid="B73">Ullah and Lin, 2025d</xref>). Yet, other research reports that governments under instability may pursue stricter environmental policies to gain legitimacy or attract foreign capital (<xref ref-type="bibr" rid="B11">Ashraf, 2023</xref>; <xref ref-type="bibr" rid="B29">Hassan et al., 2022</xref>). Recent scholarship emphasizes that the impact of PRI varies across political regimes, with democratic settings often moderating negative effects (<xref ref-type="bibr" rid="B3">Adebayo et al., 2022</xref>; <xref ref-type="bibr" rid="B58">Purcel, 2019</xref>; <xref ref-type="bibr" rid="B75">Van and Huang, 2020</xref>).</p></sec>
<sec>
<label>2.2.3</label>
<title>Governance</title>
<p>Governance quality has been consistently identified as a driver of sustainability. Strong institutions enable compliance, transparency, and accountability in environmental policy (<xref ref-type="bibr" rid="B28">Halkos and Tzeremes, 2013</xref>; <xref ref-type="bibr" rid="B90">Yi et al., 2023</xref>). Recent empirical works (<xref ref-type="bibr" rid="B39">Khan et al., 2022</xref>; <xref ref-type="bibr" rid="B84">Yadav et al., 2024</xref>; <xref ref-type="bibr" rid="B94">Zhang et al., 2021</xref>) confirm that governance positively influences renewable energy adoption, carbon reduction, and ecological balance, reinforcing its critical role in sustainability pathways.</p>
<p>The previously mentioned literature is summarized in <xref ref-type="table" rid="T1">Table 1</xref>.</p>
<table-wrap position="float" id="T1">
<label>Table 1</label>
<caption><p>Literature review.</p></caption>
<table frame="box" rules="all">
<thead>
<tr>
<th valign="top" align="left"><bold>Authors</bold></th>
<th valign="top" align="center"><bold>Region</bold></th>
<th valign="top" align="center"><bold>Period</bold></th>
<th valign="top" align="center"><bold>Methods</bold></th>
<th valign="top" align="center"><bold>Findings</bold></th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left" colspan="5"><bold>A: EPU- environment nexus</bold></td>
</tr>
<tr>
<td valign="top" align="left"><xref ref-type="bibr" rid="B4">Adedoyin and Zakari (2020)</xref></td>
<td valign="top" align="center">U.K.</td>
<td valign="top" align="center">1985&#x02013;2017</td>
<td valign="top" align="center">ARDL</td>
<td valign="top" align="center">Controversial effect</td>
</tr>
<tr>
<td valign="top" align="left"><xref ref-type="bibr" rid="B78">Wang et al. (2020)</xref></td>
<td valign="top" align="center">USA</td>
<td valign="top" align="center">1960&#x02013;2016</td>
<td valign="top" align="center">ARDL</td>
<td valign="top" align="center">Decreases ES</td>
</tr>
<tr>
<td valign="top" align="left"><xref ref-type="bibr" rid="B46">Liu and Zhang (2022)</xref></td>
<td valign="top" align="center">China</td>
<td valign="top" align="center">2003&#x02013;2017</td>
<td valign="top" align="center">Pooled regressions</td>
<td valign="top" align="center">Increases E.S.</td>
</tr>
<tr>
<td valign="top" align="left"><xref ref-type="bibr" rid="B10">Anser et al. (2021)</xref></td>
<td valign="top" align="center">10 CO2 emitter</td>
<td valign="top" align="center">1990&#x02013;2015</td>
<td valign="top" align="center">PMG-ARDL</td>
<td valign="top" align="center">Decreases ES</td>
</tr>
<tr>
<td valign="top" align="left"><xref ref-type="bibr" rid="B2">Adams et al. (2020)</xref></td>
<td valign="top" align="center">10 resource rich</td>
<td valign="top" align="center">1996&#x02013;2017</td>
<td valign="top" align="center">PMG-ARDL</td>
<td valign="top" align="center">Decreases ES</td>
</tr>
<tr>
<td valign="top" align="left"><xref ref-type="bibr" rid="B68">Syed et al. (2022)</xref></td>
<td valign="top" align="center">BRICST</td>
<td valign="top" align="center">1990&#x02013;2015</td>
<td valign="top" align="center">AMG and CCEMG</td>
<td valign="top" align="center">Controversial effect</td>
</tr>
<tr>
<td valign="top" align="left"><xref ref-type="bibr" rid="B32">Iqbal et al. (2023)</xref></td>
<td valign="top" align="center">5 selected</td>
<td valign="top" align="center">2000&#x02013;2001</td>
<td valign="top" align="center">ARDL</td>
<td valign="top" align="center">Decreases E.S.</td>
</tr>
<tr>
<td valign="top" align="left"><xref ref-type="bibr" rid="B91">Yu et al. (2021)</xref></td>
<td valign="top" align="center">China</td>
<td valign="top" align="center">2008&#x02013;2011</td>
<td valign="top" align="center">STIRPAT</td>
<td valign="top" align="center">Decreases ES</td>
</tr>
<tr>
<td valign="top" align="left" colspan="5"><bold>B: PRI-environment nexus</bold></td>
</tr>
<tr>
<td valign="top" align="left"><xref ref-type="bibr" rid="B12">Asif et al. (2023)</xref></td>
<td valign="top" align="center">South Asian</td>
<td valign="top" align="center">1996&#x02013;2019</td>
<td valign="top" align="center">ARDL</td>
<td valign="top" align="center">Decreases ES</td>
</tr>
<tr>
<td valign="top" align="left"><xref ref-type="bibr" rid="B55">Pata et al. (2023b)</xref></td>
<td valign="top" align="center">South Asia</td>
<td valign="top" align="center">2002&#x02013;2016</td>
<td valign="top" align="center">AMG</td>
<td valign="top" align="center">Increases ES</td>
</tr>
<tr>
<td valign="top" align="left"><xref ref-type="bibr" rid="B62">Simionescu et al. (2023)</xref></td>
<td valign="top" align="center">11 selected</td>
<td valign="top" align="center">2007&#x02013;2021</td>
<td valign="top" align="center">FMOLS and DOLS</td>
<td valign="top" align="center">Decreases ES</td>
</tr>
<tr>
<td valign="top" align="left"><xref ref-type="bibr" rid="B87">Yasin et al. (2019)</xref></td>
<td valign="top" align="center">110 selected</td>
<td valign="top" align="center">1996&#x02013;2016</td>
<td valign="top" align="center">Weighted panel EGLS</td>
<td valign="top" align="center">Increases E.S.</td>
</tr>
<tr>
<td valign="top" align="left"><xref ref-type="bibr" rid="B41">Kirikkaleli and Osmanli (2023)</xref></td>
<td valign="top" align="center">Turkey</td>
<td valign="top" align="center">1990&#x02013;2019</td>
<td valign="top" align="center">NARDL and DOLS</td>
<td valign="top" align="center">Increases ES</td>
</tr>
<tr>
<td valign="top" align="left"><xref ref-type="bibr" rid="B77">Wang et al. (2022)</xref></td>
<td valign="top" align="center">Next-11</td>
<td valign="top" align="center">1990&#x02013;2018</td>
<td valign="top" align="center">AMG and FMOLS</td>
<td valign="top" align="center">Increases ES</td>
</tr>
<tr>
<td valign="top" align="left"><xref ref-type="bibr" rid="B64">Su et al. (2021)</xref></td>
<td valign="top" align="center">Brazil</td>
<td valign="top" align="center">1985&#x02013;2018</td>
<td valign="top" align="center">FMOLS</td>
<td valign="top" align="center">Increases E.S.</td>
</tr>
<tr>
<td valign="top" align="left"><xref ref-type="bibr" rid="B75">Van and Huang (2020)</xref></td>
<td valign="top" align="center">Vietnam</td>
<td valign="top" align="center">1990&#x02013;2016</td>
<td valign="top" align="center">ARDL, G.C.</td>
<td valign="top" align="center">Decreases E.S.</td>
</tr>
<tr>
<td valign="top" align="left" colspan="5"><bold>C: GOV-environment nexus</bold></td>
</tr>
<tr>
<td valign="top" align="left"><xref ref-type="bibr" rid="B96">Zhang S. et al. (2024)</xref></td>
<td valign="top" align="center">China</td>
<td valign="top" align="center">2002&#x02013;2022</td>
<td valign="top" align="center">Dynamic ARDL</td>
<td valign="top" align="center">Increases ES</td>
</tr>
<tr>
<td valign="top" align="left"><xref ref-type="bibr" rid="B84">Yadav et al. (2024)</xref></td>
<td valign="top" align="center">BRICS</td>
<td valign="top" align="center">2000&#x02013;2021</td>
<td valign="top" align="center">CS-ARDL</td>
<td valign="top" align="center">Increases E.S.</td>
</tr>
<tr>
<td valign="top" align="left"><xref ref-type="bibr" rid="B66">Sun et al. (2023a)</xref></td>
<td valign="top" align="center">BRICS</td>
<td valign="top" align="center">1996&#x02013;2017</td>
<td valign="top" align="center">Nonparametric causality</td>
<td valign="top" align="center">Increases E.S.</td>
</tr>
<tr>
<td valign="top" align="left"><xref ref-type="bibr" rid="B5">Ali et al. (2022)</xref></td>
<td valign="top" align="center">ECOWAS</td>
<td valign="top" align="center">1990&#x02013;2016</td>
<td valign="top" align="center">AMG, PMG</td>
<td valign="top" align="center">Increases ES</td>
</tr>
<tr>
<td valign="top" align="left"><xref ref-type="bibr" rid="B42">Li R. et al. (2023)</xref></td>
<td valign="top" align="center">158 selected</td>
<td valign="top" align="center">2002&#x02013;2018</td>
<td valign="top" align="center">Panel threshold reg.</td>
<td valign="top" align="center">Decreases ES</td>
</tr>
<tr>
<td valign="top" align="left"><xref ref-type="bibr" rid="B89">Yasmeen et al. (2023)</xref></td>
<td valign="top" align="center">BRI</td>
<td valign="top" align="center">1996&#x02013;2018</td>
<td valign="top" align="center">MMQR</td>
<td valign="top" align="center">Increases ES</td>
</tr>
<tr>
<td valign="top" align="left"><xref ref-type="bibr" rid="B59">Sarwar and Alsaggaf (2021)</xref></td>
<td valign="top" align="center">Saudia Arabia</td>
<td valign="top" align="center">1970&#x02013;2018</td>
<td valign="top" align="center">Q regression</td>
<td valign="top" align="center">Increases ES</td>
</tr></tbody>
</table>
</table-wrap></sec></sec>
<sec>
<label>2.3</label>
<title>Gaps in literature and theoretical advancement</title>
<p><xref ref-type="table" rid="T1">Table 1</xref> presents a range of studies examining the influence of EPU, PRI, or GOV on environmental outcomes. Building on these gaps, this study makes a unique conceptual contribution by integrating economic policy uncertainty (EPU), political risk (PRI), and governance (GOV) into a unified framework for understanding environmental sustainability, measured through the load capacity factor (LC). While prior research has examined these drivers individually, their combined effects on ecological capacity remain largely unexplored. Furthermore, by introducing environmental innovation (EI) as a moderating factor, we extend existing theories&#x02014;such as real options theory, institutional theory, and the environmental governance framework&#x02014;by demonstrating how innovation can mitigate the adverse effects of uncertainty and amplify the positive role of governance. This integrated perspective advances theoretical discourse by shifting from single-dimension analyses to a systemic model that captures the interplay of uncertainty, governance, and innovation. To the best of our knowledge, this represents the first attempt to test such a framework empirically in the Canadian context, thereby contributing both to theory and practice in environmental sustainability research.</p></sec></sec>
<sec sec-type="materials|methods" id="s3">
<label>3</label>
<title>Materials and methods</title>
<sec>
<label>3.1</label>
<title>Data and variables</title>
<p>The present study incorporates annual data from 1990 to 2022 to investigate the impacts of economic policy uncertainty (EPU), political risk index (PRI), and governance (GOV) on environmental sustainability in Canada. The study used the load capacity factor as a proxy for environmental sustainability. The variable of load capacity factor is obtained through biocapacity/ecological footprints. The statistics for all these parameters is downloaded from the Global Footprint Network (<xref ref-type="bibr" rid="B27">GFN, 2023</xref>). The selection of explanatory variables is based on their critical role in shaping environmental policies and sustainability outcomes. Economic policy uncertainty (EPU) is a key determinant of investment and policy decisions that impact the adoption of clean technologies and sustainable practices. High levels of uncertainty can discourage long-term investments in environmental initiatives, making it an important factor to examine. The data for EPU is extracted from Economic Policy Uncertainty Index (<xref ref-type="bibr" rid="B24">EPU, 2023</xref>). Political risk (PRI) influences environmental sustainability by affecting regulatory stability, enforcement mechanisms, and investment confidence. Higher political risk can either delay or incentivize sustainability efforts, depending on governance effectiveness. The PRI data is sourced from Political Risk Services (<xref ref-type="bibr" rid="B57">PRS, 2023</xref>). Governance (GOV) plays a pivotal role in implementing and enforcing environmental regulations. Strong governance structures ensure effective policy execution, while weak governance can lead to regulatory inefficiencies and environmental degradation. To measure governance, this study constructs a composite governance index utilizing principal component analysis (PCA). The index integrates six dimensions of governance, providing a comprehensive measure of institutional effectiveness in driving sustainability. Details of the governance index construction are presented in <xref ref-type="table" rid="TA1">Tables A1</xref>&#x02013;<xref ref-type="table" rid="TA3">A3</xref> and <xref ref-type="fig" rid="FA1">Figure A1</xref>. The single components of the index are given in <xref ref-type="table" rid="T2">Table 2</xref>. Further, <xref ref-type="table" rid="T3">Table 3</xref> describes the specific information on the variables used in the research.</p>
<table-wrap position="float" id="T2">
<label>Table 2</label>
<caption><p>Sub-dimensions of governance index.</p></caption>
<table frame="box" rules="all">
<thead>
<tr>
<th valign="top" align="left"><bold>Major indexes</bold></th>
<th valign="top" align="center"><bold>Definition of sub-indexes</bold></th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">Control of corruption</td>
<td valign="top" align="center">Elucidates the perspectives on the degree to which public authority is used for personal benefit, including both minor and major instances of corruption, as well as the appropriation of the state by privileged individuals and private entities.</td>
</tr>
<tr>
<td valign="top" align="left">Regulatory quality</td>
<td valign="top" align="center">Reflects the beliefs on the government&#x00027;s capacity to establish and execute effective policies and regulations that facilitate and encourage the growth of the private sector.</td>
</tr>
<tr>
<td valign="top" align="left">Govt. effectiveness</td>
<td valign="top" align="center">Pertains to the assessment of public services&#x00027; quality, the civil service&#x00027;s quality and its level of independence from political influences, the effectiveness of policy development and execution, and the government&#x00027;s credibility in upholding these policies</td>
</tr>
<tr>
<td valign="top" align="left">Rule of law</td>
<td valign="top" align="center">Measures individuals&#x00027; judgments about the level of trust and compliance with societal norms, specifically focusing on the effectiveness of contract enforcement, protection of property rights, law enforcement, and the judicial system, as well as the possibility of criminal activity and violence.</td>
</tr>
<tr>
<td valign="top" align="left">Political stability and absence of violence/terrorism</td>
<td valign="top" align="center">Political Stability and Absence of Violence/Terrorism assesses the perceived probability of political instability and/or violence driven by political motives, such as terrorism.</td>
</tr>
<tr>
<td valign="top" align="left">Voice and accountability</td>
<td valign="top" align="center">Reflects the perceived level of public participation in government selection, together with the presence of freedom of speech, freedom of association, and a free media in a nation.</td>
</tr></tbody>
</table>
</table-wrap>
<table-wrap position="float" id="T3">
<label>Table 3</label>
<caption><p>Variables and sources.</p></caption>
<table frame="box" rules="all">
<thead>
<tr>
<th valign="top" align="left"><bold>Variables</bold></th>
<th valign="top" align="center"><bold>Symbol</bold></th>
<th valign="top" align="center"><bold>Definition</bold></th>
<th valign="top" align="center"><bold>Source</bold></th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">Load capacity factor</td>
<td valign="top" align="center">LC</td>
<td valign="top" align="center">The Load Capacity Factor compares biocapacity to ecological footprint, indicating whether a region consumes resources sustainably or unsustainably.</td>
<td valign="top" align="center"><xref ref-type="bibr" rid="B27">GFN, 2023</xref></td>
</tr>
<tr>
<td valign="top" align="left">Economic policy uncertainty</td>
<td valign="top" align="center">EPU</td>
<td valign="top" align="center">A high level of index indicates a high level of economic policy uncertainty.</td>
<td valign="top" align="center"><xref ref-type="bibr" rid="B24">EPU, 2023</xref></td>
</tr>
<tr>
<td valign="top" align="left">Political risk index</td>
<td valign="top" align="center">PRI</td>
<td valign="top" align="center">A high level of index indicates a high level of geopolitical risk</td>
<td valign="top" align="center"><xref ref-type="bibr" rid="B57">PRS, 2023</xref></td>
</tr>
<tr>
<td valign="top" align="left">Government governance</td>
<td valign="top" align="center">Gov</td>
<td valign="top" align="center">Composite index of multiple indicators</td>
<td valign="top" align="center"><xref ref-type="table" rid="T2">Table 2</xref></td>
</tr>
<tr>
<td valign="top" align="left">Environmental innovation</td>
<td valign="top" align="center">EI</td>
<td valign="top" align="center">The natural logarithmic value of total registered patents of environmental related technologies</td>
<td valign="top" align="center"><xref ref-type="bibr" rid="B51">OECD, 2023</xref></td>
</tr></tbody>
</table>
</table-wrap>
<p>Before diving into the analysis, we ensure the time plots in <xref ref-type="fig" rid="F2">Figure 2</xref> have the right visual qualities for the raw data. The purpose is to look for signs of structural breaks, seasonality patterns, and drifts. The figure shows a general pattern of fluctuating values of LC, with a rise in the early 1990s, a decline in the mid-1990s, and a fluctuation in the early 2000s. Around 2000, there seems to be a slight rise in the LC related to technological breakthroughs or infrastructure improvements. Moreover, the EPU pattern demonstrates periods of stability and considerable fluctuation, with major rises in 2020 and falls in 2021 and 2022. Understanding these swings is critical for decision-making and successfully navigating the economic environment. Besides, the PRI graph shows a mostly stable trend with minor oscillations. According to the figure, the GOV experienced relatively stable negative values between 1990 and 1996, suggesting a period of consistent governance deficiencies. However, starting from 1996, there is a noticeable positive shift in the GOV, indicating an improvement in governance quality. It shows a significant upward trend in the GOV from the late 1990s to the early 2000s, reflecting positive governance reforms or initiatives undertaken during this period.</p>
<fig position="float" id="F2">
<label>Figure 2</label>
<caption><p>Annual values of LC, EPU, PRI, GOV, and EI of Canada from 1990 to 2022.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fsuep-04-1663065-g0002.tif">
<alt-text content-type="machine-generated">Five bar charts display data from 1990 to 2020. The top left chart shows &#x0201C;LC&#x0201D; with red bars, decreasing slightly over time. The top right chart labeled &#x0201C;EPU&#x0201D; shows red to green bars, with significant fluctuations and a peak around 2020. The middle left chart for &#x0201C;PRI&#x0201D; features blue bars, remaining relatively stable. The middle right chart labeled &#x0201C;GOV&#x0201D; displays multicolored bars, with notable oscillations and a negative trend in early years. The bottom chart for &#x0201C;EI&#x0201D; has multicolored bars showing a general upward trend, peaking around 2020.</alt-text>
</graphic>
</fig>
<p>Furthermore, the data shows a generally increasing trend in governance scores from 2002 to 2017, indicating sustained efforts to enhance governance practices and institutions in Canada. Finally, from 1990 to the early 2000s, the EI displays some variability, indicating a mix of positive and negative trends. However, starting from the mid-2000s, there appears to be a general upward trend in the EI, pointing toward increased focus and advancements in environmental innovation in Canada.</p></sec>
<sec>
<label>3.2</label>
<title>Moderating relationship</title>
<p>Environmental innovation refers to creating and using novel technologies, methods, and remedies to reduce environmental harm, preserve resources, and advance sustainability. It involves developing and implementing inventive methods, goods, and services that help safeguard the environment, mitigate climate change, and conserve natural ecosystems (<xref ref-type="bibr" rid="B63">Skordoulis et al., 2020</xref>). In this study, environmental innovation is a moderating variable affecting the link between the independent variables (EPU, PRI, GOV) and the dependent variable (LC). It essentially helps to explain how the relationship between these variables is affected by the level of environmental innovation in Canada. The moderation analysis integrating environmental innovation will assist in creating a more thorough knowledge of how environmental issues interact with economic and governance-related variables to shape Canada&#x00027;s environmental sustainability. Numerous empirical investigations have used patents on environmentally related technologies to represent environmental innovation. Therefore, the current research utilized the log of patents related to environmental technologies as the dependent variable (<xref ref-type="bibr" rid="B1">Abbas et al., 2024</xref>). The data was obtained from <xref ref-type="bibr" rid="B51">OECD (2023)</xref>.</p></sec>
<sec>
<label>3.3</label>
<title>Estimation techniques</title>
<p>This study investigates the linkages between environmental sustainability (LC), economic policy uncertainty (EPU), political risk (PRI), and governance (GOV) in Canada by applying advanced quantile-based and time&#x02013;frequency methods. Traditional econometric models such as ARDL, CS-ARDL, DOLS, and FMOLS are widely used in the environmental economics literature; however, they focus primarily on mean relationships and assume linearity and symmetry. These assumptions are restrictive in contexts where relationships may vary across different levels of environmental stress, governance quality, or uncertainty. For instance, EPU may exert a weak influence on sustainability under stable ecological conditions but a much stronger effect under high ecological pressure. Similarly, governance quality may matter more during periods of political instability. Such distributional heterogeneity cannot be adequately captured by mean-based estimators.</p>
<p>To address these limitations, this study employs a three-step strategy: (i) <xref ref-type="bibr" rid="B81">Xiao&#x00027;s (2009)</xref> quantile-based cointegration test to assess long-run relationships across quantiles; (ii) the Quantile-on-Quantile Regression (QQR) model of <xref ref-type="bibr" rid="B61">Sim and Zhou (2015)</xref> to capture cross-quantile linkages between explanatory and dependent variables; and (iii) the Wavelet Coherence Technique (WTC) to explore dynamic co-movements and lead&#x02013;lag structures across multiple time horizons. Similar approaches have been used in recent environmental and energy economics research. For example, <xref ref-type="bibr" rid="B6">Ali et al. (2025)</xref> used QQR to analyze technology&#x02013;environment linkages, <xref ref-type="bibr" rid="B49">Musibau et al. (2025)</xref> applied it to renewable energy and generation, while <xref ref-type="bibr" rid="B92">Yu et al. (2024)</xref> employed it to study CO2 emissions. Likewise, WTC has been used by <xref ref-type="bibr" rid="B97">Zhang W. et al. (2024)</xref> and <xref ref-type="bibr" rid="B67">Sun et al. (2023b)</xref> to assess energy&#x02013;economic interactions. These studies highlight that quantile-based and wavelet methods are well-suited for uncovering nonlinear, asymmetric, and time-varying dynamics that are central to sustainability outcomes.</p>
<sec>
<label>3.3.1</label>
<title>Quantile-on-quantile regression</title>
<p>The QQR method is a nonparametric econometric approach that combines quantile regression with nonparametric estimation. Unlike conventional OLS or ARDL models, which capture only average effects, QQR investigates how the &#x003B8;-th quantile of the explanatory variable influences the &#x003C4;-th quantile of the dependent variable. This makes QQR particularly suitable for environmental studies where the effects of uncertainty, political risk, and governance may differ across various ecological conditions. The research employed a fundamental nonparametric framework, as illustrated below:</p>
<disp-formula id="EQ1"><mml:math id="M1"><mml:mtable class="eqnarray" columnalign="center"><mml:mtr><mml:mtd><mml:msub><mml:mrow><mml:mi>Y</mml:mi></mml:mrow><mml:mrow><mml:mi>t</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:msup><mml:mrow><mml:mi>&#x003B2;</mml:mi></mml:mrow><mml:mrow><mml:mi>&#x003B8;</mml:mi></mml:mrow></mml:msup><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:msub><mml:mrow><mml:mi>X</mml:mi></mml:mrow><mml:mrow><mml:mi>t</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mo>&#x0002B;</mml:mo><mml:msubsup><mml:mrow><mml:mi>v</mml:mi></mml:mrow><mml:mrow><mml:mi>t</mml:mi></mml:mrow><mml:mrow><mml:mi>&#x003B8;</mml:mi></mml:mrow></mml:msubsup></mml:mtd></mml:mtr></mml:mtable></mml:math><label>(1)</label></disp-formula>
<p>In this context, &#x003B8; represents the &#x003B8;th quantiles, capturing the distribution of the exogenous factors, X. At a given time t, Xt denotes the predictor variables, whereas Yt corresponds to the endogenous parameter. The quantile residual is indicated by <inline-formula><mml:math id="M2"><mml:msubsup><mml:mrow><mml:mi>v</mml:mi></mml:mrow><mml:mrow><mml:mi>t</mml:mi></mml:mrow><mml:mrow><mml:mi>&#x003B8;</mml:mi></mml:mrow></mml:msubsup></mml:math></inline-formula>. As there are inadequate facts to determine the relationship between the predicted parameter Yt and the regressor Xt, indicating that &#x003B2;<sup>&#x003B8;</sup> is uncertain. Consequently, the research employed one-step simple estimation model as recommended by <xref ref-type="bibr" rid="B21">Cleveland (1979)</xref>. Taylor&#x00027;s notation &#x003B2;<sup>&#x003B8;</sup> focuses the &#x003B8;th quantile of X. The linear relationship can be represented as outlined below:</p>
<disp-formula id="EQ2"><mml:math id="M3"><mml:mtable class="eqnarray" columnalign="center"><mml:mtr><mml:mtd><mml:msup><mml:mrow><mml:mi>&#x003B2;</mml:mi></mml:mrow><mml:mrow><mml:mi>&#x003B8;</mml:mi></mml:mrow></mml:msup><mml:mo>&#x02248;</mml:mo><mml:msup><mml:mrow><mml:mi>&#x003B2;</mml:mi></mml:mrow><mml:mrow><mml:mi>&#x003B8;</mml:mi></mml:mrow></mml:msup><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:msup><mml:mrow><mml:mi>X</mml:mi></mml:mrow><mml:mrow><mml:mi>&#x003C4;</mml:mi></mml:mrow></mml:msup></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mo>&#x0002B;</mml:mo><mml:msup><mml:mrow><mml:mi>&#x003B2;</mml:mi></mml:mrow><mml:mrow><mml:msup><mml:mrow><mml:mi>&#x003B8;</mml:mi></mml:mrow><mml:mrow><mml:mi>&#x02032;</mml:mi></mml:mrow></mml:msup></mml:mrow></mml:msup><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:msup><mml:mrow><mml:mi>X</mml:mi></mml:mrow><mml:mrow><mml:mi>&#x003C4;</mml:mi></mml:mrow></mml:msup></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:msub><mml:mrow><mml:mi>X</mml:mi></mml:mrow><mml:mrow><mml:mi>t</mml:mi></mml:mrow></mml:msub><mml:mo>-</mml:mo><mml:msup><mml:mrow><mml:mi>X</mml:mi></mml:mrow><mml:mrow><mml:mi>&#x003C4;</mml:mi></mml:mrow></mml:msup></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math><label>(2)</label></disp-formula>
<p>Here &#x003B2;&#x02032;&#x003B8; shows a slope for &#x003B2;&#x003B8; (Xt). The &#x003B2;&#x003B8;(Xt) is commonly known as a partial effect. The terms &#x003B2;&#x02032;&#x003B8;(X&#x003C4;) and &#x003B2;&#x003B8;(X&#x003C4;) denote the connection between the parameters &#x003C4; and &#x003B8;. The notation &#x003B2;&#x02032;&#x003B8;(X&#x003C4;) is expressed as &#x003B2;1(&#x003B8;, &#x003C4;), where &#x003B2;&#x003B8;(X&#x003C4;) is signified by &#x003B2;0(&#x003B8;, &#x003C4;). As a result, the enlarged version of <xref ref-type="disp-formula" rid="EQ5">Equation 5</xref> is:</p>
<disp-formula id="EQ3"><mml:math id="M4"><mml:mtable class="eqnarray" columnalign="center"><mml:mtr><mml:mtd><mml:msup><mml:mrow><mml:mi>&#x003B2;</mml:mi></mml:mrow><mml:mrow><mml:mi>&#x003B8;</mml:mi></mml:mrow></mml:msup><mml:mo>&#x02248;</mml:mo><mml:msub><mml:mrow><mml:mi>&#x003B2;</mml:mi></mml:mrow><mml:mrow><mml:mi>&#x003B8;</mml:mi></mml:mrow></mml:msub><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi>&#x003B8;</mml:mi><mml:mo>,</mml:mo><mml:mi>&#x003C4;</mml:mi></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mo>&#x0002B;</mml:mo><mml:msub><mml:mrow><mml:mi>&#x003B2;</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow></mml:msub><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi>&#x003B8;</mml:mi><mml:mo>,</mml:mo><mml:mi>&#x003C4;</mml:mi></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:msub><mml:mrow><mml:mi>X</mml:mi></mml:mrow><mml:mrow><mml:mi>t</mml:mi></mml:mrow></mml:msub><mml:mo>-</mml:mo><mml:msup><mml:mrow><mml:mi>X</mml:mi></mml:mrow><mml:mrow><mml:mi>&#x003C4;</mml:mi></mml:mrow></mml:msup></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math><label>(3)</label></disp-formula>
<p>Following the methodology outlined in <xref ref-type="bibr" rid="B61">Sim and Zhou (2015)</xref>, we integrate <xref ref-type="disp-formula" rid="EQ4">Equation 4</xref> with <xref ref-type="disp-formula" rid="EQ2">Equation 2</xref> to derive the foundational model:</p>
<disp-formula id="EQ4"><mml:math id="M5"><mml:mrow><mml:msub><mml:mi>Y</mml:mi><mml:mi>t</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mfrac><mml:mrow><mml:msub><mml:mi>&#x003B2;</mml:mi><mml:mi>&#x003B8;</mml:mi></mml:msub><mml:mfenced><mml:mrow><mml:mi>&#x003B8;</mml:mi><mml:mo>,</mml:mo><mml:mi>&#x003C4;</mml:mi></mml:mrow></mml:mfenced><mml:mo>+</mml:mo><mml:msub><mml:mi>&#x003B2;</mml:mi><mml:mn>1</mml:mn></mml:msub><mml:mfenced><mml:mrow><mml:mi>&#x003B8;</mml:mi><mml:mo>,</mml:mo><mml:mi>&#x003C4;</mml:mi></mml:mrow></mml:mfenced><mml:mo stretchy='false'>(</mml:mo><mml:msub><mml:mi>X</mml:mi><mml:mi>t</mml:mi></mml:msub><mml:mo>&#x02212;</mml:mo><mml:msup><mml:mi>X</mml:mi><mml:mi>&#x003C4;</mml:mi></mml:msup><mml:mo stretchy='false'>)</mml:mo></mml:mrow><mml:mrow><mml:msup><mml:mo stretchy='false'>(</mml:mo><mml:mo>&#x02217;</mml:mo></mml:msup><mml:mo stretchy='false'>)</mml:mo></mml:mrow></mml:mfrac><mml:mo>+</mml:mo><mml:msubsup><mml:mi>v</mml:mi><mml:mi>t</mml:mi><mml:mi>&#x003B8;</mml:mi></mml:msubsup></mml:mrow></mml:math><label>(4)</label></disp-formula>
<p>The conditional quantile of the predictor variables is symbolized by (<sup>&#x0002A;</sup>). <xref ref-type="disp-formula" rid="EQ5">Equation 5</xref> outlines the structural representation of the QQR analysis, illustrating the association among the &#x003B8;th quantile of X and the &#x003C4;th quantile of Yt. The coefficients &#x003B2;0 and &#x003B2;1 signify the linkage between regressor and regressand components, with this connection being indexed by &#x003B8; and &#x003C4;. The quantiles of the dependent and independent variables enable differentiation in the values of &#x003B2;0 and &#x003B2;1. This technique identifies the varying associations among research variables across lower and upper quantiles, yielding more precise and dependable findings than traditional methodologies. The choice of bandwidth is crucial for addressing diminution challenges in a distribution-free context, improving computational efficiency and accuracy. Bandwidth (h) measures the interdependence among the quantiles of exogenic and endogenic factors. Accordingly, this inquiry employs the kernel regression technique proposed by <xref ref-type="bibr" rid="B47">Marron (1991)</xref>. The corresponding equation is presented below:</p>
<disp-formula id="EQ5"><mml:math id="M6"><mml:mtable class="eqnarray" columnalign="center"><mml:mtr><mml:mtd><mml:mi>M</mml:mi><mml:mi>i</mml:mi><mml:mi>n</mml:mi><mml:msub><mml:mrow><mml:mi>&#x003B4;</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msub><mml:msub><mml:mrow><mml:mi>&#x003B4;</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow></mml:msub><mml:mstyle displaystyle="true"><mml:msubsup><mml:mrow><mml:mo>&#x02211;</mml:mo></mml:mrow><mml:mrow><mml:mi>t</mml:mi><mml:mo>=</mml:mo><mml:mn>1</mml:mn></mml:mrow><mml:mrow><mml:mi>n</mml:mi></mml:mrow></mml:msubsup></mml:mstyle><mml:msub><mml:mrow><mml:mi>&#x003C1;</mml:mi></mml:mrow><mml:mrow><mml:mo class="MathClass-ord">&#x02205;</mml:mo></mml:mrow></mml:msub><mml:mrow><mml:mo>[</mml:mo><mml:mrow><mml:mi>E</mml:mi><mml:msub><mml:mrow><mml:mi>F</mml:mi></mml:mrow><mml:mrow><mml:mi>t</mml:mi></mml:mrow></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mrow><mml:mi>&#x003B4;</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mrow><mml:mi>&#x003B4;</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow></mml:msub><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:msub><mml:mrow><mml:mi>X</mml:mi></mml:mrow><mml:mrow><mml:mi>t</mml:mi></mml:mrow></mml:msub><mml:mo>-</mml:mo><mml:msup><mml:mrow><mml:mi>X</mml:mi></mml:mrow><mml:mrow><mml:mi>&#x003C4;</mml:mi></mml:mrow></mml:msup></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow><mml:mo>]</mml:mo></mml:mrow><mml:mi>L</mml:mi><mml:mstyle mathsize="1.61em"><mml:mrow><mml:mo>[</mml:mo></mml:mrow></mml:mstyle><mml:mfrac><mml:mrow><mml:msub><mml:mrow><mml:mi>M</mml:mi></mml:mrow><mml:mrow><mml:mi>n</mml:mi></mml:mrow></mml:msub><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:msub><mml:mrow><mml:mi>X</mml:mi></mml:mrow><mml:mrow><mml:mi>t</mml:mi></mml:mrow></mml:msub><mml:mo>-</mml:mo><mml:mi>&#x003C4;</mml:mi></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow><mml:mrow><mml:mi>h</mml:mi></mml:mrow></mml:mfrac><mml:mstyle mathsize="1.61em"><mml:mrow><mml:mo>]</mml:mo></mml:mrow></mml:mstyle></mml:mtd></mml:mtr></mml:mtable></mml:math><label>(5)</label></disp-formula>
<p>The Gaussian kernel, shown as L(.), is applied to approximate the weighting factors near to the regressand. This enhances precision through differential weighting of observations. Moreover, &#x003C1;&#x003C6; denotes the error function in QR.</p>
<p><xref ref-type="fig" rid="F3">Figure 3</xref> presents a flowchart that effectively illustrates the methodological framework, facilitating a comprehensive understanding of this study.</p>
<fig position="float" id="F3">
<label>Figure 3</label>
<caption><p>Roadmap of the research.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fsuep-04-1663065-g0003.tif">
<alt-text content-type="machine-generated">Flowchart depicting a nine-step analytical process. Step 01 is Data Collection from Global Footprint Network and WDI. Step 02 involves Preliminary Analysis with Pesaran (2007), descriptive statistics, and normality. Step 03 is a Unit Root Test covering Augmented Dickey-Fuller, Phillips &#x00026; Peron, and DF-GLS de-trended. Step 04 is the Bounds Test with Pesaran, Shin, Smith methods, and Kripfganz Schneider critical values. Step 05 entails Empirical Analysis with optimal lag length selection and autoregressive distributed lag approach. Step 06 is ARDL Diagnostics focusing on autocorrelation, heteroskedasticity, normality, and parameter stability. Step 07 involves DYNARDL Simulations for similar diagnostics. Step 08 is Robustness Analysis involving KRLS machine learning. Step 09 concludes with discussion, policy implications, limitations, and future directions.</alt-text>
</graphic>
</fig>
</sec></sec></sec>
<sec id="s4">
<label>4</label>
<title>Outcomes and interpretations</title>
<sec>
<label>4.1</label>
<title>Descriptive statistics</title>
<p>Prior to doing the QQR examination, our aim is to uncover the quantitative characteristics of the series of logarithms. To begin, we review the summary statistics shown in <xref ref-type="table" rid="T4">Table 4</xref>. The average values suggest that all series maintain a positive mean over the observation period. The standard deviation results show that LC has less volatile behavior than EPU, which is the most volatile. Additionally, none of the variables follow a standard distribution based on the Jarque-Bera values. Linear econometric methods fail to account for non-parametric data when the indicators do not conform to a normal distribution. The non-normal distribution of the variables suggests that quantile approaches may provide excellent results. The study used quantile-based nonparametric techniques because, by taking into consideration nonlinearity and asymmetric interactions, quantile approaches may provide strong evidence of the interactions between non-normally distributed series.</p>
<table-wrap position="float" id="T4">
<label>Table 4</label>
<caption><p>Descriptive statistics.</p></caption>
<table frame="box" rules="all">
<thead>
<tr>
<th valign="top" align="left"><bold>Variables</bold></th>
<th valign="top" align="center"><bold>Mean</bold></th>
<th valign="top" align="center"><bold>Max</bold>.</th>
<th valign="top" align="center"><bold>Min</bold>.</th>
<th valign="top" align="center"><bold>Std. dev</bold>.</th>
<th valign="top" align="center"><bold>Kurt</bold>.</th>
<th valign="top" align="center"><bold>J.B</bold></th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">LC</td>
<td valign="top" align="center">1.9543</td>
<td valign="top" align="center">2.3717</td>
<td valign="top" align="center">1.7051</td>
<td valign="top" align="center">0.1816</td>
<td valign="top" align="center">2.6517</td>
<td valign="top" align="center">12.2232<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
</tr>
<tr>
<td valign="top" align="left">EPU</td>
<td valign="top" align="center">162.5823</td>
<td valign="top" align="center">464.2434</td>
<td valign="top" align="center">53.3663</td>
<td valign="top" align="center">94.4296</td>
<td valign="top" align="center">4.5064</td>
<td valign="top" align="center">39.9165<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
</tr>
<tr>
<td valign="top" align="left">PSI</td>
<td valign="top" align="center">85.3068</td>
<td valign="top" align="center">89.8750</td>
<td valign="top" align="center">79.9167</td>
<td valign="top" align="center">2.4552</td>
<td valign="top" align="center">2.9023</td>
<td valign="top" align="center">30.7994<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
</tr>
<tr>
<td valign="top" align="left">GOV</td>
<td valign="top" align="center">0.0397</td>
<td valign="top" align="center">1.7130</td>
<td valign="top" align="center">&#x02212;3.8239</td>
<td valign="top" align="center">2.4070</td>
<td valign="top" align="center">2.0345</td>
<td valign="top" align="center">6.8775<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
</tr>
<tr>
<td valign="top" align="left">EI</td>
<td valign="top" align="center">10.4673</td>
<td valign="top" align="center">13.1000</td>
<td valign="top" align="center">7.5000</td>
<td valign="top" align="center">1.6734</td>
<td valign="top" align="center">1.8354</td>
<td valign="top" align="center">11.9581<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
</tr></tbody>
</table>
<table-wrap-foot>
<p><sup>&#x0002A;&#x0002A;&#x0002A;</sup>Indicates a 1% level of significance.</p>
</table-wrap-foot>
</table-wrap>
<p>In addition, we have examined the quantile plots, as shown in <xref ref-type="fig" rid="F4">Figure 4</xref>, to investigate the normal distribution features of selected variables thoroughly. The red lines in these Q-Q plots show a standard distribution, whereas the highlighted data points illustrate the real distribution of variables. The disparity between the red lines and the colored data points provides information about the departure from normality. The magnitude of this disparity indicates the level of asymmetry, as elucidated by <xref ref-type="bibr" rid="B53">Ozkan et al. (2024)</xref>.</p>
<fig position="float" id="F4">
<label>Figure 4</label>
<caption><p>Q-Q plots.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fsuep-04-1663065-g0004.tif">
<alt-text content-type="machine-generated">Five QQ plots comparing quantiles of different variables to normal quantiles. Top left: lnLC in blue. Top right: lnEPU in green. Middle left: lnRI in pink. Middle right: lnGOV in purple. Bottom: lnEI in orange. Each plot includes a reference line.</alt-text>
</graphic>
</fig>
<p>Additionally, Box plots are depicted in <xref ref-type="fig" rid="F5">Figure 5</xref>, providing a succinct representation of the summary information. Moreover, <xref ref-type="fig" rid="F6">Figure 6</xref> illustrates the correlation between the factors.</p>
<fig position="float" id="F5">
<label>Figure 5</label>
<caption><p>Boxplots of the study indicators.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fsuep-04-1663065-g0005.tif">
<alt-text content-type="machine-generated">Five violin plots displaying data distribution for different variables: LC, EPU, PRI, GOV, and EI. Each plot includes a central diamond shape with mean, 10th, and 90th percentiles marked. Surrounding lines indicate density, and scattered pink points represent individual data values. Plots use different color gradients for distinction.</alt-text>
</graphic>
</fig>
<fig position="float" id="F6">
<label>Figure 6</label>
<caption><p>Correlation plot.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fsuep-04-1663065-g0006.tif">
<alt-text content-type="machine-generated">Scatter plot matrix showing variable relationships with histograms on the diagonal. Each subplot includes pink data points and an ellipse indicating correlation, labeled with Pearson&#x00026;s r values. Key variables include LC, EPU, PRI, GOV, and FI, measuring various distributions and correlations.</alt-text>
</graphic>
</fig></sec>
<sec>
<label>4.2</label>
<title>Unit root test</title>
<p>In order to avoid biased results and make sure the empirical findings are accurate, the reliability of the model is checked by applying the Q stationarity test before the QQR method is used. Nineteen quantiles with values ranging from 0.05 to 0.95 are employed for this purpose. Finding quantile unit roots in data is done by comparing the t-statistic to critical values. The t-statistic and critical value resilience across various quantile ranges is shown in <xref ref-type="table" rid="T5">Table 5</xref>. Assuming the alternative hypothesis is accepted, the null hypothesis is maintained if the anticipated t-statistic value does not exceed the critical value. At the 5% significance level, this happens for every quantile, where &#x003B1;(&#x003C4;) = 1. According to the quantile unit root test, unit roots exist at the quantile level for all variables.</p>
<table-wrap position="float" id="T5">
<label>Table 5</label>
<caption><p>Quantile unit root test.</p></caption>
<table frame="box" rules="all">
<thead>
<tr>
<th valign="top" align="left"><bold>&#x003C4;</bold></th>
<th valign="top" align="center" colspan="2"><bold>LC</bold></th>
<th valign="top" align="center" colspan="2"><bold>EPU</bold></th>
<th valign="top" align="center" colspan="2"><bold>PRI</bold></th>
<th valign="top" align="center" colspan="2"><bold>GOV</bold></th>
<th valign="top" align="center" colspan="2"><bold>EI</bold></th>
</tr>
<tr>
<th/>
<th valign="top" align="center">&#x000E2;</th>
<th valign="top" align="center"><bold>t</bold></th>
<th valign="top" align="center">&#x000E2;</th>
<th valign="top" align="center"><bold>t</bold></th>
<th valign="top" align="center">&#x000E2;</th>
<th valign="top" align="center"><bold>t</bold></th>
<th valign="top" align="center">&#x000E2;</th>
<th valign="top" align="center"><bold>t</bold></th>
<th valign="top" align="center">&#x000E2;</th>
<th valign="top" align="center"><bold>t</bold></th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">0.05</td>
<td valign="top" align="center">6.432</td>
<td valign="top" align="center">0.003</td>
<td valign="top" align="center">4.06</td>
<td valign="top" align="center">0.61</td>
<td valign="top" align="center">&#x02212;2.94</td>
<td valign="top" align="center">&#x02212;0.051</td>
<td valign="top" align="center">&#x02212;1.48</td>
<td valign="top" align="center">&#x02212;0.03</td>
<td valign="top" align="center">&#x02212;0.71</td>
<td valign="top" align="center">&#x02212;0.03</td>
</tr>
<tr>
<td valign="top" align="left">0.1</td>
<td valign="top" align="center">6.605</td>
<td valign="top" align="center">0.002</td>
<td valign="top" align="center">4.53</td>
<td valign="top" align="center">0.59</td>
<td valign="top" align="center">&#x02212;3.2</td>
<td valign="top" align="center">&#x02212;0.052</td>
<td valign="top" align="center">&#x02212;1.43</td>
<td valign="top" align="center">&#x02212;0.027</td>
<td valign="top" align="center">&#x02212;0.85</td>
<td valign="top" align="center">&#x02212;0.036</td>
</tr>
<tr>
<td valign="top" align="left">0.15</td>
<td valign="top" align="center">6.337</td>
<td valign="top" align="center">&#x02212;0.002</td>
<td valign="top" align="center">5.46</td>
<td valign="top" align="center">&#x02212;0.4</td>
<td valign="top" align="center">&#x02212;3.95</td>
<td valign="top" align="center">&#x02212;0.051</td>
<td valign="top" align="center">&#x02212;1.12</td>
<td valign="top" align="center">&#x02212;0.02</td>
<td valign="top" align="center">&#x02212;0.33</td>
<td valign="top" align="center">&#x02212;0.014</td>
</tr>
<tr>
<td valign="top" align="left">0.2</td>
<td valign="top" align="center">6.013</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">4.89</td>
<td valign="top" align="center">0.02</td>
<td valign="top" align="center">&#x02212;3.31</td>
<td valign="top" align="center">&#x02212;0.046</td>
<td valign="top" align="center">&#x02212;1.26</td>
<td valign="top" align="center">&#x02212;0.024</td>
<td valign="top" align="center">&#x02212;0.64</td>
<td valign="top" align="center">&#x02212;0.022</td>
</tr>
<tr>
<td valign="top" align="left">0.25</td>
<td valign="top" align="center">4.924</td>
<td valign="top" align="center">0.002</td>
<td valign="top" align="center">4.21</td>
<td valign="top" align="center">0.37</td>
<td valign="top" align="center">&#x02212;2.35</td>
<td valign="top" align="center">&#x02212;0.032</td>
<td valign="top" align="center">&#x02212;1.6</td>
<td valign="top" align="center">&#x02212;0.029</td>
<td valign="top" align="center">&#x02212;0.91</td>
<td valign="top" align="center">&#x02212;0.033</td>
</tr>
<tr>
<td valign="top" align="left">0.3</td>
<td valign="top" align="center">5.208</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">5.07</td>
<td valign="top" align="center">&#x02212;0.04</td>
<td valign="top" align="center">&#x02212;2.97</td>
<td valign="top" align="center">&#x02212;0.035</td>
<td valign="top" align="center">&#x02212;1.97</td>
<td valign="top" align="center">&#x02212;0.035</td>
<td valign="top" align="center">&#x02212;0.83</td>
<td valign="top" align="center">&#x02212;0.026</td>
</tr>
<tr>
<td valign="top" align="left">0.35</td>
<td valign="top" align="center">5.171</td>
<td valign="top" align="center">0.001</td>
<td valign="top" align="center">5.78</td>
<td valign="top" align="center">0.2</td>
<td valign="top" align="center">&#x02212;3.31</td>
<td valign="top" align="center">&#x02212;0.035</td>
<td valign="top" align="center">&#x02212;2.15</td>
<td valign="top" align="center">&#x02212;0.035</td>
<td valign="top" align="center">&#x02212;0.79</td>
<td valign="top" align="center">&#x02212;0.023</td>
</tr>
<tr>
<td valign="top" align="left">0.4</td>
<td valign="top" align="center">5.083</td>
<td valign="top" align="center">0.003</td>
<td valign="top" align="center">6.16</td>
<td valign="top" align="center">0.79</td>
<td valign="top" align="center">&#x02212;3.59</td>
<td valign="top" align="center">&#x02212;0.035</td>
<td valign="top" align="center">&#x02212;2.28</td>
<td valign="top" align="center">&#x02212;0.036</td>
<td valign="top" align="center">&#x02212;0.68</td>
<td valign="top" align="center">&#x02212;0.017</td>
</tr>
<tr>
<td valign="top" align="left">0.45</td>
<td valign="top" align="center">4.51</td>
<td valign="top" align="center">0.004</td>
<td valign="top" align="center">5.86</td>
<td valign="top" align="center">1.04</td>
<td valign="top" align="center">&#x02212;2.98</td>
<td valign="top" align="center">&#x02212;0.027</td>
<td valign="top" align="center">&#x02212;3.1</td>
<td valign="top" align="center">&#x02212;0.04</td>
<td valign="top" align="center">&#x02212;1.34</td>
<td valign="top" align="center">&#x02212;0.028</td>
</tr>
<tr>
<td valign="top" align="left">0.5</td>
<td valign="top" align="center">4.73</td>
<td valign="top" align="center">0.004</td>
<td valign="top" align="center">6</td>
<td valign="top" align="center">1.09</td>
<td valign="top" align="center">&#x02212;3.16</td>
<td valign="top" align="center">&#x02212;0.031</td>
<td valign="top" align="center">&#x02212;3.23</td>
<td valign="top" align="center">&#x02212;0.043</td>
<td valign="top" align="center">&#x02212;0.95</td>
<td valign="top" align="center">&#x02212;0.02</td>
</tr>
<tr>
<td valign="top" align="left">0.55</td>
<td valign="top" align="center">5.107</td>
<td valign="top" align="center">0.003</td>
<td valign="top" align="center">6.48</td>
<td valign="top" align="center">0.65</td>
<td valign="top" align="center">&#x02212;3.94</td>
<td valign="top" align="center">&#x02212;0.035</td>
<td valign="top" align="center">&#x02212;2.78</td>
<td valign="top" align="center">&#x02212;0.038</td>
<td valign="top" align="center">&#x02212;0.89</td>
<td valign="top" align="center">&#x02212;0.019</td>
</tr>
<tr>
<td valign="top" align="left">0.6</td>
<td valign="top" align="center">5.25</td>
<td valign="top" align="center">0.003</td>
<td valign="top" align="center">5.97</td>
<td valign="top" align="center">0.85</td>
<td valign="top" align="center">&#x02212;3.59</td>
<td valign="top" align="center">&#x02212;0.036</td>
<td valign="top" align="center">&#x02212;2.71</td>
<td valign="top" align="center">&#x02212;0.037</td>
<td valign="top" align="center">&#x02212;0.98</td>
<td valign="top" align="center">&#x02212;0.021</td>
</tr>
<tr>
<td valign="top" align="left">0.65</td>
<td valign="top" align="center">5.272</td>
<td valign="top" align="center">0.004</td>
<td valign="top" align="center">6.67</td>
<td valign="top" align="center">0.84</td>
<td valign="top" align="center">&#x02212;3.76</td>
<td valign="top" align="center">&#x02212;0.037</td>
<td valign="top" align="center">&#x02212;2.89</td>
<td valign="top" align="center">&#x02212;0.037</td>
<td valign="top" align="center">&#x02212;1.03</td>
<td valign="top" align="center">&#x02212;0.023</td>
</tr>
<tr>
<td valign="top" align="left">0.7</td>
<td valign="top" align="center">5.386</td>
<td valign="top" align="center">0.003</td>
<td valign="top" align="center">6.36</td>
<td valign="top" align="center">0.94</td>
<td valign="top" align="center">&#x02212;3.8</td>
<td valign="top" align="center">&#x02212;0.038</td>
<td valign="top" align="center">&#x02212;3.09</td>
<td valign="top" align="center">&#x02212;0.043</td>
<td valign="top" align="center">&#x02212;1.08</td>
<td valign="top" align="center">&#x02212;0.023</td>
</tr>
<tr>
<td valign="top" align="left">0.75</td>
<td valign="top" align="center">5.053</td>
<td valign="top" align="center">0.003</td>
<td valign="top" align="center">5.73</td>
<td valign="top" align="center">0.67</td>
<td valign="top" align="center">&#x02212;3.04</td>
<td valign="top" align="center">&#x02212;0.032</td>
<td valign="top" align="center">&#x02212;3.04</td>
<td valign="top" align="center">&#x02212;0.041</td>
<td valign="top" align="center">&#x02212;1.48</td>
<td valign="top" align="center">&#x02212;0.033</td>
</tr>
<tr>
<td valign="top" align="left">0.8</td>
<td valign="top" align="center">4.904</td>
<td valign="top" align="center">0.003</td>
<td valign="top" align="center">5.64</td>
<td valign="top" align="center">0.6</td>
<td valign="top" align="center">&#x02212;2.92</td>
<td valign="top" align="center">&#x02212;0.029</td>
<td valign="top" align="center">&#x02212;2.54</td>
<td valign="top" align="center">&#x02212;0.037</td>
<td valign="top" align="center">&#x02212;2.01</td>
<td valign="top" align="center">&#x02212;0.042</td>
</tr>
<tr>
<td valign="top" align="left">0.85</td>
<td valign="top" align="center">4.932</td>
<td valign="top" align="center">0.003</td>
<td valign="top" align="center">5.64</td>
<td valign="top" align="center">0.64</td>
<td valign="top" align="center">&#x02212;2.88</td>
<td valign="top" align="center">&#x02212;0.029</td>
<td valign="top" align="center">&#x02212;2.68</td>
<td valign="top" align="center">&#x02212;0.037</td>
<td valign="top" align="center">&#x02212;2.09</td>
<td valign="top" align="center">&#x02212;0.042</td>
</tr>
<tr>
<td valign="top" align="left">0.9</td>
<td valign="top" align="center">4.962</td>
<td valign="top" align="center">0.001</td>
<td valign="top" align="center">5.26</td>
<td valign="top" align="center">0.31</td>
<td valign="top" align="center">&#x02212;2.55</td>
<td valign="top" align="center">&#x02212;0.029</td>
<td valign="top" align="center">&#x02212;2.13</td>
<td valign="top" align="center">&#x02212;0.028</td>
<td valign="top" align="center">&#x02212;2.13</td>
<td valign="top" align="center">&#x02212;0.047</td>
</tr>
<tr>
<td valign="top" align="left">0.95</td>
<td valign="top" align="center">5.079</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">5.09</td>
<td valign="top" align="center">0.07</td>
<td valign="top" align="center">&#x02212;2.54</td>
<td valign="top" align="center">&#x02212;0.031</td>
<td valign="top" align="center">&#x02212;1.65</td>
<td valign="top" align="center">&#x02212;0.022</td>
<td valign="top" align="center">&#x02212;1.7</td>
<td valign="top" align="center">&#x02212;0.036</td>
</tr></tbody>
</table>
</table-wrap></sec>
<sec>
<label>4.3</label>
<title>Bound test</title>
<p>The research then moved on to examine the variables&#x00027; long-term interdependence through a unique QC test (<xref ref-type="bibr" rid="B81">Xiao, 2009</xref>). The coefficients represent the uniform norm and the critical values &#x003B2; and &#x003B3;, while the significance levels of 1%, 5%, and 10% are denoted by CV1, CV2, and CV10, respectively. The test was reliably performed for over 19 quantiles, from 0.95 to 0.05. <xref ref-type="table" rid="T6">Table 6</xref> indicates that, at a significance level of 1%, both the &#x003B2; and &#x003B3; coefficients surpass all critical levels. As a result, the results show cointegration between a subset of the variables, exhibiting a steady, asymmetric, prolonged connection between these variables.</p>
<table-wrap position="float" id="T6">
<label>Table 6</label>
<caption><p>Quantile cointegration.</p></caption>
<table frame="box" rules="all">
<thead>
<tr>
<th valign="top" align="left"><bold>Model</bold></th>
<th valign="top" align="center"><bold>Coefficient</bold></th>
<th valign="top" align="center"><bold>Supt&#x003C4;|Vn(&#x003C4;)|</bold></th>
<th valign="top" align="center"><bold>CV1</bold></th>
<th valign="top" align="center"><bold>CV5</bold></th>
<th valign="top" align="center"><bold>CV10</bold></th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left" rowspan="2">LC-EPU</td>
<td valign="top" align="center">&#x003B2;</td>
<td valign="top" align="center">25.497</td>
<td valign="top" align="center">17.976</td>
<td valign="top" align="center">12.804</td>
<td valign="top" align="center">9.266</td>
</tr>
 <tr>
<td valign="top" align="center">&#x003B1;</td>
<td valign="top" align="center">30.921</td>
<td valign="top" align="center">22.647</td>
<td valign="top" align="center">13.927</td>
<td valign="top" align="center">11.885</td>
</tr>
<tr>
<td valign="top" align="left" rowspan="2">LC-PRI</td>
<td valign="top" align="center">&#x003B2;</td>
<td valign="top" align="center">21.015</td>
<td valign="top" align="center">18.137</td>
<td valign="top" align="center">16.001</td>
<td valign="top" align="center">10.075</td>
</tr>
 <tr>
<td valign="top" align="center">&#x003B1;</td>
<td valign="top" align="center">32.25</td>
<td valign="top" align="center">25.316</td>
<td valign="top" align="center">21.613</td>
<td valign="top" align="center">18.639</td>
</tr>
<tr>
<td valign="top" align="left" rowspan="2">LC-GOV</td>
<td valign="top" align="center">&#x003B2;</td>
<td valign="top" align="center">39.821</td>
<td valign="top" align="center">25.798</td>
<td valign="top" align="center">21.669</td>
<td valign="top" align="center">19.639</td>
</tr>
 <tr>
<td valign="top" align="center">&#x003B1;</td>
<td valign="top" align="center">56.971</td>
<td valign="top" align="center">43.813</td>
<td valign="top" align="center">38.001</td>
<td valign="top" align="center">27.562</td>
</tr>
<tr>
<td valign="top" align="left" rowspan="2">LC-EI</td>
<td valign="top" align="center">&#x003B2;</td>
<td valign="top" align="center">20.39</td>
<td valign="top" align="center">14.305</td>
<td valign="top" align="center">11.071</td>
<td valign="top" align="center">7.899</td>
</tr>
 <tr>
<td valign="top" align="center">&#x003B1;</td>
<td valign="top" align="center">31.938</td>
<td valign="top" align="center">26.894</td>
<td valign="top" align="center">17.375</td>
<td valign="top" align="center">13.715</td>
</tr></tbody>
</table>
</table-wrap></sec>
<sec>
<label>4.4</label>
<title>BDS test of nonlinearity</title>
<p>As the subsequent measure, <xref ref-type="table" rid="T7">Table 7</xref> displays the results of the nonlinearity test. The results demonstrate that every variable has a multidimensional non-linear structure. Reflecting on these aspects, using a nonlinear approach for further empirical analysis may be the most suitable choice. Hence, the research utilizes the innovative QQR technique.</p>
<table-wrap position="float" id="T7">
<label>Table 7</label>
<caption><p>BDS test results.</p></caption>
<table frame="box" rules="all">
<thead>
<tr>
<th valign="top" align="center"><bold>Variables</bold></th>
<th valign="top" align="center" colspan="5"><bold>Dimensions</bold></th>
<th valign="top" align="center"><bold>Decision</bold></th>
</tr>
<tr>
<th/>
<th valign="top" align="center"><bold>2</bold></th>
<th valign="top" align="center"><bold>3</bold></th>
<th valign="top" align="center"><bold>4</bold></th>
<th valign="top" align="center"><bold>5</bold></th>
<th valign="top" align="center"><bold>6</bold></th>
<th/>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">LC</td>
<td valign="top" align="center">0.0000</td>
<td valign="top" align="center">0.0000</td>
<td valign="top" align="center">0.0000</td>
<td valign="top" align="center">0.0000</td>
<td valign="top" align="center">0.0000</td>
<td valign="top" align="center">Non-linear</td>
</tr>
<tr>
<td valign="top" align="left">EPU</td>
<td valign="top" align="center">0.0000</td>
<td valign="top" align="center">0.0000</td>
<td valign="top" align="center">0.0000</td>
<td valign="top" align="center">0.0000</td>
<td valign="top" align="center">0.0000</td>
<td valign="top" align="center">Non-linear</td>
</tr>
<tr>
<td valign="top" align="left">PSI</td>
<td valign="top" align="center">0.0000</td>
<td valign="top" align="center">0.0000</td>
<td valign="top" align="center">0.0000</td>
<td valign="top" align="center">0.0000</td>
<td valign="top" align="center">0.0000</td>
<td valign="top" align="center">Non-linear</td>
</tr>
<tr>
<td valign="top" align="left">GOV</td>
<td valign="top" align="center">0.0000</td>
<td valign="top" align="center">0.0000</td>
<td valign="top" align="center">0.0000</td>
<td valign="top" align="center">0.0000</td>
<td valign="top" align="center">0.0000</td>
<td valign="top" align="center">Non-linear</td>
</tr>
<tr>
<td valign="top" align="left">EI</td>
<td valign="top" align="center">0.0000</td>
<td valign="top" align="center">0.0000</td>
<td valign="top" align="center">0.0000</td>
<td valign="top" align="center">0.0000</td>
<td valign="top" align="center">0.0000</td>
<td valign="top" align="center">Non-linear</td>
</tr></tbody>
</table>
<table-wrap-foot>
<p>Values show the probability values.</p>
</table-wrap-foot>
</table-wrap></sec>
<sec>
<label>4.5</label>
<title>Quantile-on-quantile regression results</title>
<p>The core aim of this inquiry is to examine the interrelationships among EPU, PRI, GOV, and LC. Following the confirmation of cointegration among the variables, the study explores how these factors influence environmental sustainability in Canada using QQR, which allows for a detailed understanding of the relationships across the entire distribution of LC. <xref ref-type="fig" rid="F7">Figures 7</xref>&#x02013;<xref ref-type="fig" rid="F9">9</xref> present the estimated regression coefficient &#x003B2;1(&#x003B8;, &#x003C4;), representing the impact of the &#x003C4;-th quantile of EPU, PRI, and GOV on the &#x003B8;-th quantile of LC.</p>
<fig position="float" id="F7">
<label>Figure 7</label>
<caption><p>QQR estimates for the impact of EPU on LC.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fsuep-04-1663065-g0007.tif">
<alt-text content-type="machine-generated">Three-dimensional surface plot displaying data on axes labeled LC and EPU, with a color gradient bar ranging from blue to red indicating values from -0.15 to 0.4.</alt-text>
</graphic>
</fig>
<fig position="float" id="F8">
<label>Figure 8</label>
<caption><p>QQR estimates for the impact of PRI on LC.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fsuep-04-1663065-g0008.tif">
<alt-text content-type="machine-generated">3D surface plot with axes labeled LC and PRI, displaying multicolored peaks and valleys. The color gradient on the right ranges from red to blue, representing values from 0.6 to -0.6.</alt-text>
</graphic>
</fig>
<fig position="float" id="F9">
<label>Figure 9</label>
<caption><p>QQR estimates for the impact of GOV on LC.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fsuep-04-1663065-g0009.tif">
<alt-text content-type="machine-generated">Three-dimensional surface plot with X-axis labeled &#x0201C;LC,&#x0201D; Y-axis labeled &#x0201C;GOV,&#x0201D; and Z-axis showing values from -0.3 to 0.4. The surface is colored from blue to red, indicating varying data values.</alt-text>
</graphic>
</fig>
<p><xref ref-type="fig" rid="F7">Figure 7</xref> depicts the influence of EPU on LC in Canada, revealing notable heterogeneity across quantiles. At lower LC quantiles, where environmental sustainability is relatively weak, rising EPU negatively affects LC, reflecting increased investment uncertainty that discourages long-term commitments to renewable energy projects and green infrastructure. In such conditions, firms and policymakers may prioritize short-term stability, relying on conventional energy sources and thereby hindering sustainability progress. Conversely, at medium and higher quantiles, the effect of EPU becomes positive and increases in magnitude, suggesting that in more sustainable scenarios, uncertainty can stimulate adaptive policy responses and strategic investment in cleaner energy alternatives. Businesses anticipating long-term uncertainty hedge risks by diversifying into sustainable energy portfolios, while Canada&#x00027;s commitment to global environmental agreements and market-based green policies further supports sustainability efforts. These results are consistent with previous studies that have documented the nuanced positive effects of policy uncertainty under certain economic and institutional conditions (<xref ref-type="bibr" rid="B13">Aslan et al., 2024</xref>; <xref ref-type="bibr" rid="B55">Pata et al., 2023b</xref>; <xref ref-type="bibr" rid="B76">Villanthenkodath and Pal, 2024</xref>).</p>
<p><xref ref-type="fig" rid="F8">Figure 8</xref> illustrates the relationship between PRI and LC. At lower quantiles, higher political risk negatively affects sustainability due to heightened uncertainty, inconsistent policies, and reduced investor confidence, which can delay or reduce investment in green energy projects. Interestingly, at medium and higher LC quantiles, PRI exhibits a positive effect. While this may appear counterintuitive, it can be explained by Canada&#x00027;s strong institutional framework and adaptive mechanisms: moderate political risk can trigger proactive government and business responses, leading to resilient strategies that promote sustainability. The presence of environmental innovation further strengthens this effect, mitigating the potential negative impacts of political instability and allowing firms to implement adaptive technologies and practices. This observation aligns with evidence suggesting that robust institutions and innovation capacity can transform political risks into opportunities for sustainable investment (<xref ref-type="bibr" rid="B36">Kartal et al., 2024</xref>, <xref ref-type="bibr" rid="B35">2022</xref>; <xref ref-type="bibr" rid="B62">Simionescu et al., 2023</xref>).</p>
<p>The effect of GOV on LC is shown in <xref ref-type="fig" rid="F9">Figure 9</xref>. At lower quantiles, weak governance can impede environmental policies, resulting in inefficient resource allocation and regulatory shortcomings that negatively affect LC. As quantiles increase, the impact of governance becomes positive and more pronounced, indicating that economies with stronger institutional frameworks and governance mechanisms are better positioned to implement effective sustainability policies. The increasing magnitude of the coefficient at higher quantiles suggests that well-functioning governance enhances regulatory enforcement, encourages green investment, and supports sustainable infrastructure, ultimately fostering long-term improvements in environmental sustainability (<xref ref-type="bibr" rid="B84">Yadav et al., 2024</xref>; <xref ref-type="bibr" rid="B90">Yi et al., 2023</xref>; <xref ref-type="bibr" rid="B96">Zhang S. et al., 2024</xref>).</p>
<p>By examining the moderating role of environmental innovation, we further elucidated how varying levels of innovation intensity influence the relationships between EPU, PRI, GOV, and LC across the sustainability distribution. <xref ref-type="fig" rid="F10">Figure 10</xref> shows that the interaction term EPU &#x000D7; EI negatively affects LC at lower quantiles, suggesting that the benefits of innovation may be constrained under conditions of economic uncertainty, reduced investor confidence, and delayed policy implementation. However, at higher quantiles, this interaction becomes positive, highlighting that when innovation reaches a critical threshold or when economic conditions are stable, it can mitigate uncertainty and drive sustainable outcomes. Similarly, <xref ref-type="fig" rid="F11">Figure 11</xref> illustrates that PRI &#x000D7; EI positively influences LC across most quantiles, with the effect strengthening at higher levels. This indicates that strong environmental innovation can offset the adverse effects of political risk, enabling adaptive strategies that enhance resilience and sustainability. <xref ref-type="fig" rid="F12">Figure 12</xref> demonstrates that GOV &#x000D7; EI negatively affects LC at lower and medium quantiles but becomes strongly positive at higher quantiles, reflecting that the benefits of innovation are fully realized only when governance structures are robust and effectively implemented. These findings emphasize that environmental innovation amplifies the positive impacts of governance and policy while mitigating risks associated with economic and political uncertainty, thereby supporting more resilient and sustainable environmental outcomes.</p>
<fig position="float" id="F10">
<label>Figure 10</label>
<caption><p>QQR estimates for the impact of EPU&#x0002A;EI on LC.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fsuep-04-1663065-g0010.tif">
<alt-text content-type="machine-generated">Three-dimensional surface plot with axes labeled &#x0201C;LC&#x0201D; and &#x0201C;EPU*EI&#x0201D;. The surface transitions from blue to red, indicating a gradient from lower to higher values. A color bar on the right displays values from negative six to positive two, using a rainbow color scale.</alt-text>
</graphic>
</fig>
<fig position="float" id="F11">
<label>Figure 11</label>
<caption><p>QQR estimates for the impact of PRI&#x0002A;EI on LC.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fsuep-04-1663065-g0011.tif">
<alt-text content-type="machine-generated">Three-dimensional surface plot depicting the relationship between variables labeled LC and PRI*EI. The plot features intersecting planes in various colors, representing different values from negative twenty to forty on the vertical axis, with a color gradient on the side ranging from blue to red, indicating values from negative twenty to thirty-five.</alt-text>
</graphic>
</fig>
<fig position="float" id="F12">
<label>Figure 12</label>
<caption><p>QQR estimates for the impact of GOV&#x0002A;EI on LC.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fsuep-04-1663065-g0012.tif">
<alt-text content-type="machine-generated">Three-dimensional surface plot showing a complex landscape with peaks and valleys in a grid pattern. The x-axis is labeled &#x0201C;LC,&#x0201D; the y-axis &#x0201C;GOV*EI,&#x0201D; and the color gradient bar on the right ranges from blue to red, indicating values from negative 2.5 to positive 2.5.</alt-text>
</graphic>
</fig>
<p>Finally, the Wavelet Coherence (WTC) analysis (<xref ref-type="fig" rid="F13">Figures 13A</xref>&#x02013;<xref ref-type="fig" rid="F13">C</xref>) confirms the dynamic linkages between LC and EPU, PRI, and GOV over time. Warmer colors indicate stronger interdependence, whereas cooler colors denote weaker association. The results show a strong positive correlation between EPU and LC over multiple periods (<xref ref-type="fig" rid="F13">Figure 13A</xref>), a negative correlation between PRI and LC (<xref ref-type="fig" rid="F13">Figure 13B</xref>), and a positive correlation between GOV and LC at medium and high frequencies (<xref ref-type="fig" rid="F13">Figure 13C</xref>). These findings corroborate the QQR results and highlight the critical role of governance, institutional quality, and environmental innovation in shaping sustainable outcomes in Canada under varying conditions of policy and political uncertainty. More over, <xref ref-type="fig" rid="F14">Figure 14</xref> represents the graphical summary of the key results.</p>
<fig position="float" id="F13">
<label>Figure 13</label>
<caption><p><bold>(A)</bold> Wavelet coherence impact of EPU on LC. <bold>(B)</bold> Wavelet coherence impact of PRI on LC. <bold>(C)</bold> Wavelet coherence impact of GOV on LC.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fsuep-04-1663065-g0013.tif">
<alt-text content-type="machine-generated">Three wavelet coherence plots analyze relationships between different indices and a variable over time. A. Shows coherence between EPU and LC, highlighting strong correlations in red around 1995 and 2010. B. Displays coherence between PRI and LC, with significant correlations in red around 2000 and 2015. C. Illustrates coherence between GOV and LC, showing strong correlations in red before 2000. Each plot uses color gradients from blue (low) to red (high) to represent coherence levels. The x-axis indicates time from 1995 to 2020, and the y-axis shows the period scale.</alt-text>
</graphic>
</fig>
<fig position="float" id="F14">
<label>Figure 14</label>
<caption><p>Graphical summary of EPU, PRI, GOV, EI, and LC relationships across quantiles in Canada.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fsuep-04-1663065-g0014.tif">
<alt-text content-type="machine-generated">Flowchart illustrating the relationship between environmental innovations, economic policy uncertainty (EPU), policy-related impact (PRI), and governance. EPU improves environmental sustainability, while PRI degrades it. Governance improves the environment. Environmental innovations are moderated by EPU, PRI, and governance, collectively enhancing environmental sustainability, which influences the load capacity factor.</alt-text>
</graphic>
</fig>
</sec></sec>
<sec id="s5">
<label>5</label>
<title>Conclusions and policy directions</title>
<sec>
<label>5.1</label>
<title>Conclusion</title>
<p>This study employs the innovative Quantile-on-Quantile Regression (QQR) approach to investigate the nonlinear effects of Economic Policy Uncertainty (EPU), Political Risk Index (PRI), and Governance (GOV) on environmental sustainability, proxied by the Load Capacity Factor (LC), in Canada from 1990 to 2022. The findings reveal that the relationships among these institutional and policy variables and sustainability are highly heterogeneous across the distribution of LC, with environmental innovation (EI) playing a critical moderating role. Specifically, while EPU can have both positive and negative effects depending on the sustainability context, PRI generally constrains sustainability at lower quantiles but may foster adaptive responses at higher quantiles when supported by strong EI. Effective governance consistently enhances sustainability, particularly when coupled with innovation. These outcomes are corroborated by Wavelet Coherence (WTC) analysis, which confirms the temporal and frequency-dependent linkages among EPU, PRI, GOV, and LC. Collectively, these findings provide a nuanced understanding of how policy, institutional, and innovation mechanisms interact to shape environmental outcomes in Canada, offering both theoretical and practical contributions to sustainability research.</p></sec>
<sec>
<label>5.2</label>
<title>Implication</title>
<p>The empirical evidence underscores the importance of tailored and actionable policy interventions. First, to mitigate the destabilizing effects of political risk and maximize the adaptive potential of policy uncertainty, Canadian policymakers should implement transparent decision-making procedures, strengthen risk management frameworks, and promote policy predictability, particularly in sectors critical to clean energy investment. Second, fostering a robust ecosystem for environmental innovation is essential. This includes targeted financial incentives, tax breaks, and research grants for green technology development, as well as establishing knowledge-sharing platforms for best practices in sustainable business operations. Third, the synergistic relationship between governance and EI highlights the need for institutional reforms that enhance regulatory efficiency, ensure accountability, and integrate technological solutions into environmental monitoring and enforcement. By adopting these measures, Canada can leverage innovation and governance to transform potential policy or political risks into opportunities for long-term environmental sustainability.</p></sec>
<sec>
<label>5.3</label>
<title>Limitations and future research directions</title>
<p>While this study provides novel insights, certain limitations should be acknowledged. First, the analysis focuses exclusively on Canada, limiting the generalizability of the findings to other national contexts with different institutional or policy frameworks. Second, the study employs LC as a proxy for environmental sustainability, which, while comprehensive, may not capture all dimensions of environmental performance, such as biodiversity or ecosystem services. Future research could extend this work by incorporating multi-dimensional sustainability indicators, analyzing cross-country comparisons, and exploring the dynamic effects of other institutional or market variables, including climate finance and international policy commitments. Additionally, investigating the causal mechanisms through which environmental innovation interacts with governance and policy uncertainty could provide deeper theoretical understanding and inform more precise policy interventions.</p></sec></sec>
</body>
<back>
<sec sec-type="data-availability" id="s6">
<title>Data availability statement</title>
<p>The original contributions presented in the study are included in the article/supplementary material, further inquiries can be directed to the corresponding author.</p>
</sec>
<sec sec-type="author-contributions" id="s7">
<title>Author contributions</title>
<p>SU: Conceptualization, Data curation, Methodology, Software, Writing &#x02013; original draft, Writing &#x02013; review &#x00026; editing. BL: Conceptualization, Formal analysis, Methodology, Project administration, Writing &#x02013; original draft, Writing &#x02013; review &#x00026; editing.</p>
</sec>
<sec sec-type="COI-statement" id="conf1">
<title>Conflict of interest</title>
<p>The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec sec-type="ai-statement" id="s9">
<title>Generative AI statement</title>
<p>The author(s) declare that no Gen AI was used in the creation of this manuscript.</p>
<p>Any alternative text (alt text) provided alongside figures in this article has been generated by Frontiers with the support of artificial intelligence and reasonable efforts have been made to ensure accuracy, including review by the authors wherever possible. If you identify any issues, please contact us.</p></sec>
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<title>Publisher&#x00027;s note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
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<mixed-citation publication-type="journal"><person-group person-group-type="author"><name><surname>Zhang</surname> <given-names>W.</given-names></name> <name><surname>Wen</surname> <given-names>L.</given-names></name></person-group> (<year>2023</year>). <article-title>Research on the analysis of the coupling coordination degree of Shaanxi&#x00027;s atmospheric ecological governance and urban clean governance based on environmental sustainability</article-title>. <source>Ecol. Indic.</source> <volume>155</volume>:<fpage>111068</fpage>. doi: <pub-id pub-id-type="doi">10.1016/J.ECOLIND.2023.111068</pub-id></mixed-citation>
</ref>
</ref-list>
<fn-group>
<fn fn-type="custom" custom-type="edited-by" id="fn0001">
<p>Edited by: <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/3245210/overview">Otavio Oliveira</ext-link>, S&#x000E3;o Paulo State University, Brazil</p>
</fn>
<fn fn-type="custom" custom-type="reviewed-by" id="fn0002">
<p>Reviewed by: <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1828288/overview">Ridwan Ibrahim</ext-link>, University of Lagos, Nigeria</p>
<p><ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/3165372/overview">Imran Ur Rahman</ext-link>, Leshan Normal University, China</p>
</fn>
</fn-group>
<app-group>
<app id="A1">
<title>Appendix</title>
<table-wrap position="float" id="TA1">
<label>Table A1</label>
<caption><p>Principal components analysis by Horn&#x00027;s parallel.</p></caption>
<table frame="box" rules="all">
<thead>
<tr>
<th valign="top" align="left"><bold>Components</bold></th>
<th valign="top" align="center"><bold>Adjusted EV</bold></th>
<th valign="top" align="center"><bold>Unadjusted EV</bold></th>
<th valign="top" align="center"><bold>Bias estimated</bold></th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left" colspan="4"><bold>Governance indicators</bold></td>
</tr>
<tr>
<td valign="top" align="left">1</td>
<td valign="top" align="center">5.357</td>
<td valign="top" align="center">5.926</td>
<td valign="top" align="center">0.569</td>
</tr></tbody>
</table>
<table-wrap-foot>
<p>Criterion: retain adjusted components &#x0003E; 1.</p>
</table-wrap-foot>
</table-wrap>
<table-wrap position="float" id="TA2">
<label>Table A2</label>
<caption><p>Bartlett and KMO tests.</p></caption>
<table frame="box" rules="all">
<thead>
<tr>
<th valign="top" align="left"><bold>Decision criterion</bold></th>
<th valign="top" align="center"><bold>Governance indicators</bold></th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left" colspan="2"><bold>Bartlett test of sphericity</bold></td>
</tr>
<tr>
<td valign="top" align="left">Chi-squared</td>
<td valign="top" align="center">632.89</td>
</tr>
<tr>
<td valign="top" align="left">Probability value</td>
<td valign="top" align="center">0</td>
</tr>
<tr>
<td valign="top" align="left">Degrees of freedom</td>
<td valign="top" align="center">15</td>
</tr>
<tr>
<td valign="top" align="left" colspan="2"><bold>Sampling adequacy test (Kaiser&#x02013;Meyer&#x02013;Olkin)</bold></td>
</tr>
<tr>
<td valign="top" align="left">KMO value</td>
<td valign="top" align="center">0.838</td>
</tr></tbody>
</table>
<table-wrap-foot>
<p>Decision criterion for sampling adequacy of KMO &#x0003E; 0.5, Bartlett sphericity&#x00027;s <italic>p</italic> &#x0003C; 0.05.</p>
</table-wrap-foot>
</table-wrap>
<table-wrap position="float" id="TA3">
<label>Table A3</label>
<caption><p>Principal components.</p></caption>
<table frame="box" rules="all">
<thead>
<tr>
<th valign="top" align="left"><bold>Variables</bold></th>
<th valign="top" align="center"><bold>C-1</bold></th>
<th valign="top" align="center"><bold>C-2</bold></th>
<th valign="top" align="center"><bold>C-3</bold></th>
<th valign="top" align="center"><bold>C-4</bold></th>
<th valign="top" align="center"><bold>C-5</bold></th>
<th valign="top" align="center"><bold>C-6</bold></th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left" colspan="7"><bold>Governance indicators</bold></td>
</tr>
<tr>
<td valign="top" align="left">Political stability</td>
<td valign="top" align="center">0.405</td>
<td valign="top" align="center">0.868</td>
<td valign="top" align="center">0.181</td>
<td valign="top" align="center">0.182</td>
<td valign="top" align="center">&#x02013;0.111</td>
<td valign="top" align="center">0.060</td>
</tr>
<tr>
<td valign="top" align="left">Rule of law</td>
<td valign="top" align="center">0.408</td>
<td valign="top" align="center">&#x02013;0.033</td>
<td valign="top" align="center">&#x02013;0.775</td>
<td valign="top" align="center">&#x02013;0.014</td>
<td valign="top" align="center">0.180</td>
<td valign="top" align="center">0.446</td>
</tr>
<tr>
<td valign="top" align="left">Regulatory quality</td>
<td valign="top" align="center">0.410</td>
<td valign="top" align="center">&#x02013;0.053</td>
<td valign="top" align="center">&#x02013;0.286</td>
<td valign="top" align="center">&#x02013;0.260</td>
<td valign="top" align="center">&#x02013;0.233</td>
<td valign="top" align="center">&#x02013;0.791</td>
</tr>
<tr>
<td valign="top" align="left">Control of corruption</td>
<td valign="top" align="center">0.409</td>
<td valign="top" align="center">&#x02013;0.092</td>
<td valign="top" align="center">0.417</td>
<td valign="top" align="center">&#x02013;0.610</td>
<td valign="top" align="center">0.515</td>
<td valign="top" align="center">0.116</td>
</tr>
<tr>
<td valign="top" align="left">Government effectiveness</td>
<td valign="top" align="center">0.409</td>
<td valign="top" align="center">&#x02013;0.358</td>
<td valign="top" align="center">0.270</td>
<td valign="top" align="center">&#x02013;0.020</td>
<td valign="top" align="center">&#x02013;0.711</td>
<td valign="top" align="center">0.354</td>
</tr>
<tr>
<td valign="top" align="left">Voice and accountability</td>
<td valign="top" align="center">0.408</td>
<td valign="top" align="center">&#x02013;0.324</td>
<td valign="top" align="center">0.195</td>
<td valign="top" align="center">0.726</td>
<td valign="top" align="center">0.361</td>
<td valign="top" align="center">&#x02013;0.182</td>
</tr></tbody>
</table>
<table-wrap-foot>
<p>C-1 to C-6 are principal components of the factors.</p>
</table-wrap-foot>
</table-wrap>
<fig position="float" id="FA1">
<label>Figure A1</label>
<caption><p>Scree plot of governance indicators.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fsuep-04-1663065-g0015.tif">
<alt-text content-type="machine-generated">Scree plot showing eigenvalues for six components with three lines: observed (dashed), adjusted (solid), and random (dotted). The observed line sharply declines from 6 to below 1 by the second component.</alt-text>
</graphic>
</fig>
</app>
</app-group>
</back>
</article>