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<journal-id journal-id-type="publisher-id">Front. Environ. Sci.</journal-id>
<journal-title>Frontiers in Environmental Science</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Environ. Sci.</abbrev-journal-title>
<issn pub-type="epub">2296-665X</issn>
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<publisher-name>Frontiers Media S.A.</publisher-name>
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<article-id pub-id-type="publisher-id">1607166</article-id>
<article-id pub-id-type="doi">10.3389/fenvs.2025.1607166</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Environmental Science</subject>
<subj-group>
<subject>Original Research</subject>
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<title-group>
<article-title>Eco-literate societies: the interplay of education, environmental policy stringency, and digital innovation in BRICS nations</article-title>
<alt-title alt-title-type="left-running-head">Zhang and Xiao</alt-title>
<alt-title alt-title-type="right-running-head">
<ext-link ext-link-type="uri" xlink:href="https://doi.org/10.3389/fenvs.2025.1607166">10.3389/fenvs.2025.1607166</ext-link>
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<contrib contrib-type="author" corresp="yes">
<name>
<surname>Zhang</surname>
<given-names>Xiaojuan</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
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<contrib contrib-type="author" corresp="yes">
<name>
<surname>Xiao</surname>
<given-names>Lingshan</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
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<aff id="aff1">
<sup>1</sup>
<institution>School of Marxism</institution>, <institution>Shanxi Vocational University of Engineering Science and Technology</institution>, <country>China</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>School of Law</institution>, <institution>Tianjin University of Commerce</institution>, <addr-line>Tianjin</addr-line>, <country>China</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>
<bold>Edited by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/2618110/overview">Esther Oreofeoluwa Esho</ext-link>, The Australian New Zealand Society for Ecological Economics (ANZSEE), Australia</p>
</fn>
<fn fn-type="edited-by">
<p>
<bold>Reviewed by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/2043235/overview">Sandra Nelly Leyva-Hern&#xe1;ndez</ext-link>, Tecnol&#xf3;gico Nacional de M&#xe9;xico, Mexico</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/3032393/overview">Sheryl Hayes Hursh</ext-link>, University of Wisconsin-Madison, United States</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/3050980/overview">Ivana Petkovski</ext-link>, Serbian Academy of Sciences and Arts, Serbia</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Lingshan Xiao, <email>lingshanxiao87@gmail.com</email>
</corresp>
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<pub-date pub-type="epub">
<day>02</day>
<month>07</month>
<year>2025</year>
</pub-date>
<pub-date pub-type="collection">
<year>2025</year>
</pub-date>
<volume>13</volume>
<elocation-id>1607166</elocation-id>
<history>
<date date-type="received">
<day>08</day>
<month>04</month>
<year>2025</year>
</date>
<date date-type="accepted">
<day>09</day>
<month>06</month>
<year>2025</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2025 Zhang and Xiao.</copyright-statement>
<copyright-year>2025</copyright-year>
<copyright-holder>Zhang and Xiao</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/">
<p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</p>
</license>
</permissions>
<abstract>
<p>As emerging global economic powers, BRICS nations face a critical challenge in balancing rapid development with environmental sustainability. While industrial expansion, digital transformation, and urbanization have accelerated economic growth, these trends have also intensified ecological pressures, necessitating comprehensive policy solutions. Recognizing this urgency, the present study examines the determinants of environmental sustainability in BRICS nations from 1990 to 2023, focusing on economic growth (E.G.,), urbanization (URB), education (EDU), digital innovation (DI), and environmental policy stringency (EPS). By addressing the complex interactions among these variables, the study aims to provide empirical insights into how socioeconomic and technological advancements shape environmental outcomes. To achieve this, the study employs the Method of Moments Quantile Regression (MMQR) to capture heterogeneous effects across different sustainability levels, Feasible Generalized Least Squares (FGLS) for robustness validation, and Granger causality analysis to establish directional relationships. The findings reveal a nonlinear role of education, where in the linear model, EDU exacerbates environmental degradation due to its early association with industrial expansion. However, in the nonlinear model incorporating EDU<sup>2</sup>, education exhibits an inverted U-shaped effect, initially straining the environment but later fostering sustainability as higher attainment levels promote ecological awareness and technological innovation. Urbanization consistently enhances sustainability across models, while digital innovation imposes environmental burdens, highlighting the need for green technological policies. Economic growth presents mixed effects, suggesting that regulatory interventions are required to steer economic expansion toward sustainable pathways. The study&#x2019;s novelty lies in its empirical approach, uncovering threshold effects of education and asymmetries in digital innovation&#x2019;s environmental impact, providing deeper insights into sustainability dynamics within emerging economies. The policy implications are profound&#x2014;governments must integrate sustainability into education reforms, urban development strategies, and digital regulatory frameworks to ensure long-term ecological resilience. By aligning sustainability policies with SDG commitments and COP climate agreements, BRICS nations can effectively transition toward a green economic model, balancing development with environmental stewardship.</p>
</abstract>
<kwd-group>
<kwd>sustainable environment</kwd>
<kwd>digital innovation</kwd>
<kwd>urbanization</kwd>
<kwd>education</kwd>
<kwd>environment policy stringency</kwd>
</kwd-group>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-at-acceptance</meta-name>
<meta-value>Environmental Policy and Governance</meta-value>
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</front>
<body>
<sec id="s1">
<title>1 Introduction</title>
<p>Environmental sustainability has emerged as a critical challenge for BRICS nations&#x2014;Brazil, Russia, India, China, and South Africa&#x2014;as they experience rapid economic growth, urbanization, and digital transformation (<xref ref-type="bibr" rid="B28">Farooq et al., 2023</xref>; <xref ref-type="bibr" rid="B102">Zhao et al., 2024</xref>). These developmental shifts, while driving industrial progress, have also intensified environmental pressures, particularly in the form of rising carbon emissions and ecological degradation (<xref ref-type="bibr" rid="B13">Caglar et al., 2023</xref>; <xref ref-type="bibr" rid="B24">Esmaeil et al., 2020</xref>; <xref ref-type="bibr" rid="B46">Kongbuamai et al., 2020</xref>; <xref ref-type="bibr" rid="B85">Tariq et al., 2024</xref>). Countries like China and India face increasing health and environmental risks linked to air pollution and fossil fuel dependency, highlighting the urgency of aligning economic development with sustainability goals (<xref ref-type="bibr" rid="B20">Dinc&#x103; et al., 2022</xref>; <xref ref-type="bibr" rid="B25">Eyuboglu et al., 2024</xref>; <xref ref-type="bibr" rid="B59">Ma et al., 2025</xref>; <xref ref-type="bibr" rid="B76">Sajith Kumar et al., 2022</xref>).</p>
<p>Ecological sustainability, as used in this study, refers to the capacity of natural systems to maintain their essential functions, diversity, and productivity over time while supporting human development needs (<xref ref-type="bibr" rid="B12">Caglar et al., 2024</xref>). To operationalize this concept, we utilize biocapacity as a proxy indicator of environmental sustainability. Biocapacity measures the biological productivity of ecosystems&#x2014;specifically their ability to regenerate resources and absorb waste, including carbon emissions. It comprises several land-use components: cropland, grazing land, forest land, fishing grounds, and built-up land. These components collectively reflect the ecological pressure exerted by human activities and the regenerative capacity of the environment. Environmental sustainability demands a balance between resource consumption and regeneration, and its attainment requires not just technological innovation but also institutional commitment and societal behavioral change (<xref ref-type="bibr" rid="B11">Buhari et al., 2020</xref>; <xref ref-type="bibr" rid="B29">Gao and Fan, 2023</xref>). Closely linked is the concept of resilience, which denotes the ability of ecosystems and social systems to absorb disturbances, adapt, and reorganize without compromising long-term functionality or the continued provision of ecosystem services (<xref ref-type="bibr" rid="B30">Gayen et al., 2024</xref>; <xref ref-type="bibr" rid="B58">Luo et al., 2024</xref>). In the context of BRICS, resilience encompasses the adaptability of environmental policies, urban systems, and human capital to shifting socio-economic and ecological conditions.</p>
<p>The global urgency of these challenges is articulated in the United Nations Sustainable Development Goals (UNSDGs)&#x2014;a blueprint for achieving a better and more sustainable future by 2030. Several goals are directly pertinent to this study: SDG 4 (Quality Education), SDG 9 (Industry, Innovation, and Infrastructure), SDG 11 (Sustainable Cities and Communities), and SDG 13 (Climate Action). These goals underscore the need to integrate environmental objectives into education, technology, governance, and economic development (<xref ref-type="bibr" rid="B2">Akrofi et al., 2022</xref>). Moreover, SDGs 14 (Life Below Water) and 15 (Life on Land) are foundational to the entire SDG framework, acting as multipliers of co-benefits across the goals. Conservation of biodiversity under these goals supports the achievement of other SDGs by enhancing ecosystem services, promoting resilience, and sustaining livelihoods. This interdependence highlights the necessity of incorporating biodiversity considerations into strategies aimed at achieving the broader SDG agenda (<xref ref-type="bibr" rid="B67">Obrecht et al., 2021</xref>).</p>
<p>In this context, education (EDU), digital innovation (DI), and urbanization (URB) represent three pivotal forces shaping environmental outcomes in emerging economies. EDU is frequently cited as a driver of sustainable behavior and policy innovation (<xref ref-type="bibr" rid="B51">Li et al., 2023</xref>). However, its influence is not monolithic. For this study, we adopt the standard classification where primary and secondary education represent lower educational levels, while tertiary education (such as university or vocational degrees) constitutes higher education. Tertiary education is often linked to ecological responsibility and technological advancement, while lower education levels have been historically associated with industrial expansion and increased environmental strain (<xref ref-type="bibr" rid="B37">Haseeb et al., 2023</xref>; <xref ref-type="bibr" rid="B45">Kalayc&#x131; Alas and Korut&#xfc;rk, 2024</xref>; <xref ref-type="bibr" rid="B52">Li et al., 2025</xref>), suggesting a nonlinear relationship between educational attainment and environmental outcomes.</p>
<p>Building on this, digital innovation (DI) also plays a complex role. Emerging technologies such as AI and IoT can facilitate sustainability goals through smarter systems and efficiencies but may simultaneously lead to greater emissions and electronic waste if deployed without robust regulatory oversight (<xref ref-type="bibr" rid="B1">Adebayo et al., 2022</xref>; <xref ref-type="bibr" rid="B19">Dilanchiev and Taktakishvili, 2021</xref>; <xref ref-type="bibr" rid="B39">Hu et al., 2024</xref>; <xref ref-type="bibr" rid="B56">Lisha et al., 2023</xref>; <xref ref-type="bibr" rid="B74">Ramzan, 2021</xref>). Thus, understanding the governance of digital transformation becomes critical, especially in contexts where institutional capacity may be uneven (<xref ref-type="bibr" rid="B50">Li and Jianxing, 2024</xref>; <xref ref-type="bibr" rid="B81">Sinha et al., 2020a</xref>; <xref ref-type="bibr" rid="B82">2020b</xref>; <xref ref-type="bibr" rid="B90">Waris et al., 2023</xref>).</p>
<p>Urbanization (URB), the third focal parameter, continues to reshape socio-environmental systems. While structured urban development can promote sustainability through efficient infrastructure and land use, unregulated expansion frequently contributes to habitat loss and pollution (<xref ref-type="bibr" rid="B66">Mehmood et al., 2023</xref>; <xref ref-type="bibr" rid="B95">Yang et al., 2024</xref>). The interplay between URB and environmental policy stringency (EPS) is also crucial, as the real-world impact of such policies depends heavily on their design and enforcement, which vary across national contexts (OECD, 2022).</p>
<p>Given these complexities, this study investigates how EDU, DI, URB, EPS, and economic growth (E.G.,) influence the sustainable environment (SE) in BRICS nations from 1990 to 2023. In doing so, it seeks to fill critical gaps in the literature by:<list list-type="simple">
<list-item>
<p>&#x2022; Examining the nonlinear effects of education on sustainability,</p>
</list-item>
<list-item>
<p>&#x2022; Evaluating the environmental consequences of digital innovation, and</p>
</list-item>
<list-item>
<p>&#x2022; Assessing how urbanization and policy stringency interact with sustainability outcomes in different national contexts.</p>
</list-item>
</list>
</p>
<p>A key methodological contribution of this study lies in its use of a multi-analytical approach to explore the environmental impacts of education, digital innovation, and urbanization across BRICS nations. Specifically, we employ Method of Moments Quantile Regression (MMQR) to capture variations in these relationships across different levels of sustainability performance&#x2014;an advancement over conventional mean-based models that often overlook such distributional nuances. Additionally, Feasible Generalized Least Squares (FGLS) is applied to enhance robustness against heteroscedasticity, and Granger causality analysis is used to examine potential directional influences among variables. Together, these methods provide a more differentiated and context-sensitive understanding of sustainability dynamics in emerging economies.</p>
<p>By integrating education, technology, urbanization, and policy into a unified analytical framework, this research advances a comprehensive model of sustainability planning tailored to emerging economies. Its alignment with SDG commitments and COP climate agreements ensures relevance for both national policymakers and international development agendas.</p>
<p>This study formulates the following hypotheses to guide empirical investigation:</p>
<p>
<statement content-type="h1" id="H1">
<label>H1</label>
<p>Higher levels of educational attainment&#x2014;particularly tertiary education&#x2014;will have a positive and significant effect on environmental sustainability across BRICS nations, reflecting the role of education in promoting environmental awareness and policy engagement.</p>
</statement>
</p>
<p>
<statement content-type="h2" id="H2">
<label>H2</label>
<p>Increased digital innovation is expected to exert a positive influence on sustainability outcomes by enhancing efficiency and supporting green technologies, although its benefits may be offset if not managed with appropriate environmental safeguards.</p>
</statement>
</p>
<p>
<statement content-type="h3" id="H3">
<label>H3</label>
<p>Urbanization, when accompanied by structured infrastructure and planning, will have a positive and significant impact on environmental sustainability through resource optimization and reduced <italic>per capita</italic> emissions.</p>
</statement>
</p>
<p>
<statement content-type="h4" id="H4">
<label>H4</label>
<p>Both economic growth and environmental policy stringency are hypothesized to have a positive and significant association with sustainability performance, indicating the importance of institutional and economic drivers in shaping environmental outcomes.</p>
<p>These hypotheses are framed to reflect testable, directional expectations based on existing literature and are intended to inform empirical analysis and policy discussions on sustainability in emerging economies.</p>
<p>The subsequent sections are detailed as follows. <xref ref-type="sec" rid="s2">Section 2</xref> highlights the importance of leveraging digital innovation and education in urban settings to foster environmentally sustainable communities. <xref ref-type="sec" rid="s3">Section 3</xref> elaborates on the empirical methods used to examine the relationships between environmental policies, urbanization, education, urban population, and environmental health. <xref ref-type="sec" rid="s4">Section 4</xref> presents the key findings and discussions. Finally, the concluding section offers policy recommendations and final reflections.</p>
</statement>
</p>
</sec>
<sec id="s2">
<title>2 Literature review</title>
<p>This section presents a review of the literature exploring the connections between education, ecological policies, urbanization, digital innovations, and environmental sustainability.</p>
<sec id="s2-1">
<title>2.1 Education-environment link</title>
<p>Accurately assessing how environmental awareness influences non-renewable energy use in developing countries remains challenging due to data limitations (<xref ref-type="bibr" rid="B53">Li M. et al., 2021</xref>). While education plays a crucial role in promoting sustainable practices, its direct impact on environmental quality remains debated (<xref ref-type="bibr" rid="B93">Wu et al., 2023</xref>). Research examining China&#x2019;s low-carbon economy suggests that environmental education enhances public awareness, yet its effect on emissions reduction is conditional on policy enforcement and economic incentives.</p>
<p>Educational attainment has been linked to household energy efficiency and industrial pollution reduction, although these effects vary across sectors and regions <xref ref-type="bibr" rid="B100">Zhang G. et al. (2025)</xref> and <xref ref-type="bibr" rid="B101">Zhang et al.&#x27;s, (2025b)</xref> study focuses on air pollution and green innovation in industrial enterprises, finding that education fosters technological innovation rather than directly reducing household energy use. Similarly, <xref ref-type="bibr" rid="B10">Boujedra and Jebli, (2025)</xref> argue that digital transformation, driven by human capital development, improves environmental sustainability, but caution that education alone is insufficient for driving comprehensive emissions reductions.</p>
<p>
<xref ref-type="bibr" rid="B17">Cordero et al. (2020)</xref> investigate the lifetime impact of education on individual carbon footprints rather than specific pollutants like CO<sub>2</sub>, SO<sub>2</sub>, and NO<sub>2</sub>. Their findings suggest that education influences consumption patterns and long-term environmental behavior, but structural barriers limit its effectiveness in large-scale emissions mitigation. <xref ref-type="bibr" rid="B75">Sahu et al. (2024)</xref> examine higher education institutions&#x2019; role in campus sustainability efforts, highlighting how universities integrate sustainability into research and operations rather than directly affecting national energy conservation trends.</p>
<p>
<xref ref-type="bibr" rid="B69">Osuntuyi and Lean, (2023)</xref> explore the moderating effect of education on economic growth, energy use, and environmental degradation in African economies. Their results indicate that higher educational attainment supports energy efficiency and sustainable development, reinforcing the necessity of educational reforms in climate policy.</p>
<p>However, linking education directly to pro-environmental behavior (PEB) is complex. <xref ref-type="bibr" rid="B33">Gkargkavouzi et al. (2018)</xref> emphasize that educational attainment alone does not consistently predict environmentally responsible actions, as PEB is shaped by environmental identity, cultural norms, and socio-economic context. For instance, individuals with strong environmental identities often engage in sustainable behavior irrespective of their formal education level (<xref ref-type="bibr" rid="B47">K&#x159;epelkov&#xe1; et al., 2020</xref>). Income also mediates access to sustainable lifestyle choices, such as electric vehicle adoption and energy-efficient appliances, suggesting that PEB is highly dependent on structural conditions rather than solely on education (<xref ref-type="bibr" rid="B48">Larson et al., 2015</xref>).</p>
<p>PEB spans multiple domains&#x2014;public, private, and civic engagement&#x2014;requiring nuanced measurement approaches (<xref ref-type="bibr" rid="B48">Larson et al., 2015</xref>; <xref ref-type="bibr" rid="B63">Markle, 2013</xref>). Recent studies advocate for multi-dimensional assessments of environmental behavior, incorporating factors such as intent, locality, and collective action (<xref ref-type="bibr" rid="B64">Markowitz et al., 2012</xref>). While environmental education may encourage recycling and energy conservation, higher-impact actions like home retrofitting or EV adoption remain contingent on economic affordability.</p>
<p>This understanding underscores that while education plays a vital role in fostering environmental consciousness, its influence is mediated by identity alignment, financial access, and behavioral context. Effective sustainability policies must incorporate these social and economic intersections to maximize education&#x2019;s environmental impact.</p>
</sec>
<sec id="s2-2">
<title>2.2 The ecological policies&#x2013;environmental sustainability nexus</title>
<p>Environmental degradation is widely recognized as a negative externality, where market mechanisms fail to regulate pollution effectively. This necessitates government intervention through stringent environmental policies to mitigate ecological harm (<xref ref-type="bibr" rid="B16">Chen et al., 2020</xref>). Environmental economics provides a theoretical foundation for understanding how policy instruments&#x2014;such as carbon pricing, subsidies for green technology, and regulatory frameworks&#x2014;can correct market failures and promote sustainability (<xref ref-type="bibr" rid="B6">Baloch and Wang, 2019</xref>).</p>
<p>Governments employ various policy tools to enhance environmental sustainability (<xref ref-type="bibr" rid="B55">Li X. et al., 2021</xref>; <xref ref-type="bibr" rid="B54">Li et al., 2022</xref>; <xref ref-type="bibr" rid="B53">Li M. et al., 2021</xref>). Command-and-control regulations, such as emission limits and pollution permits, have been instrumental in reducing industrial emissions (<xref ref-type="bibr" rid="B100">Zhang G. et al., 2025</xref>). Additionally, market-based instruments, including carbon taxes and tradable emission allowances, incentivize firms to adopt cleaner technologies. Empirical studies highlight the effectiveness of these policies in reducing ecological footprints across G20 nations (<xref ref-type="bibr" rid="B103">Zhao et al., 2025</xref>).</p>
<p>Recent research underscores the role of institutional quality and technological innovation in shaping environmental policy outcomes (<xref ref-type="bibr" rid="B21">Dong and Yu, 2024</xref>). Strong governance structures and investment in green innovation significantly enhance policy effectiveness, ensuring long-term sustainability (<xref ref-type="bibr" rid="B44">Jie et al., 2024</xref>). Khan (2024) examines provincial environmental laws in Pakistan, demonstrating how constitutional amendments have empowered federal and provincial governments to enact targeted environmental protection measures.</p>
<p>Moreover, government-initiated environmental programs addressing CO<sub>2</sub> emissions and renewable energy adoption have proven effective in mitigating climate change impacts (<xref ref-type="bibr" rid="B70">Ouyang et al., 2020</xref>). Studies on low-carbon city transformations reveal that integrated policy approaches&#x2014;combining regulatory, economic, and technological strategies&#x2014;yield substantial environmental benefits (<xref ref-type="bibr" rid="B14">Cai et al., 2024</xref>; <xref ref-type="bibr" rid="B94">Xu et al., 2023</xref>).</p>
</sec>
<sec id="s2-3">
<title>2.3 The urbanization&#x2013;environmental health connection</title>
<p>The relationship between urbanization and environmental health has been widely studied, with researchers emphasizing both its challenges and potential solutions. <xref ref-type="bibr" rid="B43">Jiang et al. (2025)</xref> examined the Urban Vulnerability-Adaptation-Settlements (VAS) nexus, demonstrating that rapid urbanization exacerbates environmental stressors, including air pollution and resource depletion. Their study highlights the importance of smart governance and green infrastructure in mitigating these adverse effects. Similarly, <xref ref-type="bibr" rid="B42">James (2024)</xref> assessed the environmental consequences of urbanization, identifying key concerns such as habitat loss, excessive resource consumption, and increased greenhouse gas emissions. His findings suggest that equitable development policies and conservation efforts are essential in counteracting urbanization-induced environmental degradation.</p>
<p>Expanding on these perspectives, <xref ref-type="bibr" rid="B72">Qian (2024)</xref> conducted an empirical analysis of urban expansion in China, India, and Indonesia, revealing that urbanization significantly accelerates carbon emissions. However, the study also found that institutional quality and renewable energy adoption can moderate these effects, suggesting that policy interventions play a crucial role in shaping sustainable urban growth. These findings align with broader research on urbanization and environmental health, such as <xref ref-type="bibr" rid="B83">Sun et al. (2023)</xref>, who identified an inverted U-shaped relationship between urbanization and environmental pollution, indicating that while urbanization initially worsens environmental conditions, advanced urban planning and technological innovations can eventually lead to improvements. Additionally, <xref ref-type="bibr" rid="B77">Salgado et al. (2020)</xref> conducted a systematic review of environmental determinants in urban settings, concluding that socioeconomic factors, air quality, and access to green spaces significantly influence public health outcomes.</p>
<p>Despite these shared concerns, methodological approaches vary across studies. <xref ref-type="bibr" rid="B43">Jiang et al. (2025)</xref> employed a conceptual framework focusing on governance and infrastructure, while <xref ref-type="bibr" rid="B42">James (2024)</xref> utilized a policy analysis approach to assess urbanization&#x2019;s environmental consequences. <xref ref-type="bibr" rid="B72">Qian (2024)</xref>, in contrast, applied econometric modeling to quantify the impact of urban expansion on carbon emissions. <xref ref-type="bibr" rid="B83">Sun et al. (2023)</xref> adopted a system GMM method to analyze urbanization&#x2019;s dual effects on environmental pollution and public health, whereas <xref ref-type="bibr" rid="B77">Salgado et al. (2020)</xref> conducted a systematic literature review to synthesize findings across multiple urban health studies. These methodological differences highlight the complexity of the urbanization&#x2013;environmental health nexus, demonstrating that while urbanization presents significant sustainability challenges, targeted policy interventions and technological advancements can mitigate its negative effects.</p>
</sec>
<sec id="s2-4">
<title>2.4 Digital innovation-environmental health relationship</title>
<p>The relationship between digital innovation and environmental equitability follows a dynamic trajectory, initially contributing to increased emissions before facilitating sustainability improvements (<xref ref-type="bibr" rid="B57">Luo et al., 2023</xref>). Studies examining this link often reference the Environmental Kuznets Curve (EKC) framework, which suggests that technological advancements may first exacerbate environmental degradation before leading to long-term ecological benefits.</p>
<p>
<xref ref-type="bibr" rid="B61">Malmodin and Lund&#xe9;n, (2018)</xref> highlight that early-stage technological advancements, particularly in the ICT sector, tend to increase carbon emissions due to heightened energy consumption and infrastructure expansion. Similarly, <xref ref-type="bibr" rid="B32">Gillingham et al. (2016)</xref> emphasize the rebound effect, wherein efficiency gains in digital technologies can lead to increased overall energy use, offsetting initial sustainability benefits. These findings align with <xref ref-type="bibr" rid="B5">Avom et al. (2020)</xref>, who report that ICT adoption in Sub-Saharan Africa has contributed to higher CO<sub>2</sub> emissions, reinforcing the notion that digital transformation can initially strain environmental resources.</p>
<p>An increasingly relevant concern is the rapidly growing energy demand associated with artificial intelligence (AI) systems. As AI models and data centers expand in scale, so too does the need for energy-intensive computing and cooling infrastructure (<xref ref-type="bibr" rid="B98">Yu et al., 2024</xref>). Recent estimates suggest that AI training and deployment could consume as much energy as small nations, particularly if reliant on fossil fuels (<xref ref-type="bibr" rid="B8">Berthelot et al., 2024</xref>). The environmental and human health consequences of this trend are closely tied to the type of energy used&#x2014;renewable sources may mitigate carbon footprints, while nonrenewable energy exacerbates both emissions and localized air quality degradation (<xref ref-type="bibr" rid="B73">Ragazzi et al., 2017</xref>).</p>
<p>However, as digital innovation matures, its role in promoting sustainability becomes more evident. <xref ref-type="bibr" rid="B18">Danish (2019)</xref> finds that while technology use initially diminishes sustainability in low-income countries, it enhances environmental outcomes in high- and middle-income nations over time. <xref ref-type="bibr" rid="B26">Faisal et al. (2020)</xref> further support this trend, demonstrating that technological adoption initially increases carbon emissions in China, Brazil, India, and South Africa but leads to reductions in the long term as efficiency improvements and regulatory frameworks take effect. <xref ref-type="bibr" rid="B34">Godil et al. (2020)</xref> confirm this pattern in Pakistan, where digital innovation has contributed to lower environmental pollution through enhanced energy efficiency and smart infrastructure.</p>
<p>This evolving impact of digital innovation cannot be viewed in isolation. Its environmental outcomes are shaped by interconnected factors such as education, which informs responsible tech use, and urbanization, which amplifies energy demand (<xref ref-type="bibr" rid="B80">Singh et al., 2025</xref>). Weaving these interdependencies&#x2014;between human capital, infrastructure growth, and institutional regulation&#x2014;is essential to understand how digital innovation can either exacerbate or alleviate sustainability challenges (<xref ref-type="bibr" rid="B99">Zeng and Punjwani, 2025</xref>).</p>
</sec>
</sec>
<sec id="s3">
<title>3 Empirical data and methodology</title>
<sec id="s3-1">
<title>3.1 Data statistics</title>
<p>The study employs panel data spanning from 1990 to 2023, selected based on the availability and consistency of data across key indicators. The dataset focuses on five BRICS nations&#x2014;Brazil, Russia, India, China, and South Africa&#x2014;due to the availability of reliable data on environmental policy stringency; other BRICS-Plus nations were excluded due to data limitations in this variable. <xref ref-type="table" rid="T1">Table 1</xref> presents an overview of the variables, their acronyms, proxy measures, classifications, and sources. The dependent variable, Sustainable Environment (SE), is proxied by Biocapacity (global hectares <italic>per capita</italic>) sourced from the Global Footprint Network (<xref ref-type="bibr" rid="B31">GFN, 2025</xref>). Control variables include Economic Growth (E.G.,), measured by GDP <italic>per capita</italic> growth, and Urbanization (URB) via urban population figures&#x2014;both obtained from the World Development Indicators (<xref ref-type="bibr" rid="B91">WDI, 2025</xref>). The core independent variables are: Education (EDU), synthesized using Principal Component Analysis (PCA) from gross enrollment rates at primary, secondary, and tertiary levels; Digital Innovation (DI), also PCA-computed from mobile subscriptions, broadband subscriptions, and internet usage rates; and Environmental Policy Stringency (EPS), drawn from the <xref ref-type="bibr" rid="B68">OECD (2025)</xref>. Any missing values were handled using established statistical imputation techniques to ensure robustness and minimize bias in the analysis.</p>
<table-wrap id="T1" position="float">
<label>TABLE 1</label>
<caption>
<p>Data source and variables.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Variables</th>
<th align="left">Acronym</th>
<th align="left">Proxy and measurement</th>
<th align="left">Type of variable</th>
<th align="left">Source of data</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">Sustainable Environment</td>
<td align="left">SE</td>
<td align="left">Biocapacity (gha per person)</td>
<td align="left">Dependent</td>
<td align="left">
<xref ref-type="bibr" rid="B31">GFN (2025)</xref>
</td>
</tr>
<tr>
<td align="left">Economic growth</td>
<td align="left">E.G.,</td>
<td align="left">GDP <italic>per capita</italic> growth (annual %)</td>
<td align="left">Control</td>
<td align="left">
<xref ref-type="bibr" rid="B91">WDI (2025)</xref>
</td>
</tr>
<tr>
<td align="left">Urbanization</td>
<td align="left">URB</td>
<td align="left">Urban population</td>
<td align="left">Control</td>
<td align="left">
<xref ref-type="bibr" rid="B91">WDI (2025)</xref>
</td>
</tr>
<tr>
<td align="left">Education</td>
<td align="left">EDU</td>
<td align="left">PCA of School enrollment secondary (SES), tertiary (SET), and primary (SEP) (% gross)</td>
<td align="left">Independent</td>
<td align="left">
<xref ref-type="bibr" rid="B91">WDI (2025)</xref>
</td>
</tr>
<tr>
<td align="left">Digital innovation</td>
<td align="left">DI</td>
<td align="left">PCA of internet penetration and connectivity proxies (Mobile cellular subscriptions (per 100 people), Fixed broadband subscriptions (per 100 people), and Individuals using the Internet (% of the population))</td>
<td align="left">Independent</td>
<td align="left">
<xref ref-type="bibr" rid="B91">WDI (2025)</xref>
</td>
</tr>
<tr>
<td align="left">Environmental Policy Stringency</td>
<td align="left">EPS</td>
<td align="left">Environmental policy stringency index</td>
<td align="left">Independent</td>
<td align="left">
<xref ref-type="bibr" rid="B68">OECD (2025)</xref>
</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>The descriptive statistics presented in <xref ref-type="table" rid="T2">Table 2</xref> offer a preliminary insight into the distribution and variability of the key variables analyzed in this study. The mean value of sustainable environment (SE) stands at 3.889, indicating moderate biocapacity levels across the BRICS nations, with a substantial range (0.326&#x2013;12.639), reflecting environmental heterogeneity (see <xref ref-type="fig" rid="F1">Figure 1</xref>). Economic growth (E.G.,) displays a notable spread (&#x2212;14.614 to 13.636), capturing both contractionary and expansionary phases, which is typical for emerging economies. Urbanization (URB) has a relatively high average of 58.33%, suggesting ongoing urban transition, with standard deviation reflecting diverse development stages across countries.</p>
<table-wrap id="T2" position="float">
<label>TABLE 2</label>
<caption>
<p>Results of descriptive statistics.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left"/>
<th align="left">SE</th>
<th align="left">EG</th>
<th align="left">URB</th>
<th align="left">EDU</th>
<th align="left">DI</th>
<th align="left">EPS</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">Mean</td>
<td align="left">3.889</td>
<td align="left">3.021</td>
<td align="left">58.329</td>
<td align="left">&#x2212;8.09e-10</td>
<td align="left">8.86e-10</td>
<td align="left">0.840</td>
</tr>
<tr>
<td align="left">Median</td>
<td align="left">1.394</td>
<td align="left">3.048</td>
<td align="left">61.952</td>
<td align="left">&#x2212;4.97e-08</td>
<td align="left">&#x2212;0.531</td>
<td align="left">0.694</td>
</tr>
<tr>
<td align="left">Maximum</td>
<td align="left">12.639</td>
<td align="left">13.636</td>
<td align="left">87.788</td>
<td align="left">1.894</td>
<td align="left">2.329</td>
<td align="left">3.139</td>
</tr>
<tr>
<td align="left">Minimum</td>
<td align="left">0.326</td>
<td align="left">&#x2212;14.614</td>
<td align="left">25.547</td>
<td align="left">&#x2212;2.544</td>
<td align="left">&#x2212;0.890</td>
<td align="left">0</td>
</tr>
<tr>
<td align="left">Std. Dev</td>
<td align="left">3.889</td>
<td align="left">4.673</td>
<td align="left">20.045</td>
<td align="left">1.000</td>
<td align="left">1.000</td>
<td align="left">0.725</td>
</tr>
<tr>
<td align="left">J-B stats</td>
<td align="left">50.130&#x2a;&#x2a;&#x2a;</td>
<td align="left">13.120&#x2a;&#x2a;&#x2a;</td>
<td align="left">---</td>
<td align="left">8.300&#x2a;&#x2a;</td>
<td align="left">21.690&#x2a;&#x2a;&#x2a;</td>
<td align="left">35.810&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left">Skew</td>
<td align="left">0.001&#x2a;&#x2a;&#x2a;</td>
<td align="left">0.002&#x2a;&#x2a;&#x2a;</td>
<td align="left">0.096&#x2a;&#x2a;&#x2a;</td>
<td align="left">0.003&#x2a;&#x2a;</td>
<td align="left">0.000&#x2a;&#x2a;&#x2a;</td>
<td align="left">0.000&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left">Kurtosis</td>
<td align="left">0.000&#x2a;&#x2a;&#x2a;</td>
<td align="left">0.019&#x2a;&#x2a;&#x2a;</td>
<td align="left">0.000&#x2a;&#x2a;&#x2a;</td>
<td align="left">0.493&#x2a;&#x2a;</td>
<td align="left">0.001&#x2a;&#x2a;&#x2a;</td>
<td align="left">0.002&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left">Observations</td>
<td align="left">170</td>
<td align="left">170</td>
<td align="left">170</td>
<td align="left">170</td>
<td align="left">170</td>
<td align="left">170</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>Note: The significance at 1% and 5% is denoted by &#x2a;&#x2a;&#x2a; and &#x2a;&#x2a;, respectively.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>Temporal variations in a sustainable environment in BRICS during the study span.</p>
</caption>
<graphic xlink:href="fenvs-13-1607166-g001.tif">
<alt-text content-type="machine-generated">Bar chart showing global hectare (gha) per person from 1990 to 2022 for five countries: Brazil (orange), Russia (blue), India (gray), China (yellow), and South Africa (dark blue). Brazil consistently has the highest gha per person.</alt-text>
</graphic>
</fig>
<p>The PCA-transformed variables&#x2014;education (EDU) and digital innovation (DI)&#x2014;have standardized means near zero and unit standard deviations, consistent with the dimensionality reduction method used. Environmental policy stringency (EPS) shows a mean of 0.840 but a wide dispersion (0&#x2013;3.139), highlighting differing regulatory intensities among the countries. The Jarque-Bera (J-B) statistics, along with significant skewness and kurtosis values (mostly at 1% significance), confirm the non-normal distribution of most variables, justifying the use of robust estimation techniques like MMQR and FGLS in the analysis.</p>
<p>The correlation matrix in <xref ref-type="table" rid="T3">Table 3</xref> reveals several statistically significant associations among the study variables. Notably, SE is strongly and positively correlated with URB (0.822) and moderately with EDU (0.414), suggesting that higher urbanization and educational levels are associated with improved environmental sustainability across BRICS nations. However, SE shows a significant negative correlation with, E.G., (&#x2212;0.350) and EPS (&#x2212;0.363), implying that rapid economic growth and stringent policies might initially strain environmental capacity, possibly due to industrial expansion or short-term compliance costs (<xref ref-type="bibr" rid="B79">Shao et al., 2019</xref>; <xref ref-type="bibr" rid="B88">Ullah et al., 2023</xref>). The positive but weaker correlation between SE and DI (0.183) suggests a modest role of digital innovation in enhancing environmental outcomes. Additionally, EDU is highly correlated with URB (0.735) and DI (0.618), reflecting interconnected development dynamics where education supports urban digital transformation. Interestingly, EPS is positively linked to DI (0.361) but negatively to URB (&#x2212;0.245) and, E.G., (0.176), indicating that countries with more stringent policies tend to emphasize digital tools while potentially restraining uncontrolled urban and economic expansion. Overall, while multicollinearity does not appear severe, the significant correlations highlight intricate interdependencies that justify the study&#x2019;s multivariate approach.</p>
<table-wrap id="T3" position="float">
<label>TABLE 3</label>
<caption>
<p>Correlation analysis.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left"/>
<th align="left">SE</th>
<th align="left">EG</th>
<th align="left">URB</th>
<th align="left">EDU</th>
<th align="left">DI</th>
<th align="left">EPS</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">SE</td>
<td align="left">1.000</td>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left">EG</td>
<td align="left">&#x2212;0.350&#x2a;&#x2a;&#x2a;</td>
<td align="left">1.000</td>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left">URB</td>
<td align="left">0.822&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;0.437&#x2a;&#x2a;&#x2a;</td>
<td align="left">1.000</td>
<td align="left"/>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left">EDU</td>
<td align="left">0.414&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;0.435&#x2a;&#x2a;&#x2a;</td>
<td align="left">0.735&#x2a;&#x2a;&#x2a;</td>
<td align="left">1.000</td>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left">DI</td>
<td align="left">0.183&#x2a;&#x2a;</td>
<td align="left">&#x2212;0.125</td>
<td align="left">0.479&#x2a;&#x2a;&#x2a;</td>
<td align="left">0.618&#x2a;&#x2a;&#x2a;</td>
<td align="left">1.000</td>
<td align="left"/>
</tr>
<tr>
<td align="left">EPS</td>
<td align="left">&#x2212;0.363&#x2a;&#x2a;&#x2a;</td>
<td align="left">0.176&#x2a;&#x2a;</td>
<td align="left">&#x2212;0.245&#x2a;&#x2a;&#x2a;</td>
<td align="left">0.028</td>
<td align="left">0.361&#x2a;&#x2a;&#x2a;</td>
<td align="left">1.000</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>Note: The significance at 1% and 5% is denoted by &#x2a;&#x2a;&#x2a; and &#x2a;&#x2a;, respectively.</p>
</fn>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="s3-2">
<title>3.2 Estimation methodology</title>
<p>The empirical investigation is grounded in two primary models aimed at examining the determinants of environmental sustainability (SE) across BRICS nations. Model (1) specifies a direct linear relationship where SE is a function of economic growth (E.G.,), urbanization (URB), education (EDU), digital innovation (DI), and environmental policy stringency (EPS). This specification is rooted in the Environmental Kuznets Curve (EKC) hypothesis, which posits a nonlinear association between, E.G., and SE, suggesting that after a certain level of income, economic progress leads to environmental improvements (<xref ref-type="bibr" rid="B36">Grossman and Krueger, 1995</xref>). Additionally, Human Capital Theory (<xref ref-type="bibr" rid="B7">Becker, 2009</xref>) underpins the role of education, asserting that greater investment in education fosters environmentally responsible behavior and supports green innovation.</p>
<p>Model (2) introduces a nonlinear specification for education, by incorporating the square of the education variable (EDU<sup>2</sup>) to capture potential diminishing or threshold effects. This transformation allows the model to test for a U-shaped or inverted U-shaped relationship between education and sustainability. This is particularly insightful as it explores whether the effect of education on biocapacity may be initially limited or even negative (due to urban-industrial expansion with basic education), but eventually becomes positive as higher educational attainment promotes environmental awareness and innovation. This dynamic reflects the Threshold Hypothesis in education-environment literature and aligns with the Diffusion of Innovations Theory (Rogers, 2003), which highlights how knowledge diffusion through education accelerates the adoption of environmentally sustainable practices and technologies.</p>
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<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
<label>(3)</label>
</disp-formula>
<disp-formula id="e4">
<mml:math id="m4">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>S</mml:mi>
<mml:mi>E</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mi>&#x3b2;</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3b2;</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
<mml:msub>
<mml:mrow>
<mml:mi>E</mml:mi>
<mml:mi>G</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3b2;</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:msub>
<mml:mrow>
<mml:mi>U</mml:mi>
<mml:mi>R</mml:mi>
<mml:mi>B</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3b2;</mml:mi>
<mml:mn>3</mml:mn>
</mml:msub>
<mml:msub>
<mml:mrow>
<mml:mi>E</mml:mi>
<mml:mi>D</mml:mi>
<mml:mi>U</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3b2;</mml:mi>
<mml:mn>4</mml:mn>
</mml:msub>
<mml:msubsup>
<mml:mrow>
<mml:mi>E</mml:mi>
<mml:mi>D</mml:mi>
<mml:mi>U</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>i</mml:mi>
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<mml:mi>t</mml:mi>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msubsup>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b2;</mml:mi>
<mml:mn>5</mml:mn>
</mml:msub>
<mml:mi>D</mml:mi>
<mml:mi>I</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b2;</mml:mi>
<mml:mn>6</mml:mn>
</mml:msub>
<mml:mi>E</mml:mi>
<mml:mi>P</mml:mi>
<mml:mi>S</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3b5;</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
<label>(4)</label>
</disp-formula>
</p>
<p>In above equations <inline-formula id="inf1">
<mml:math id="m5">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>S</mml:mi>
<mml:mi>E</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, <inline-formula id="inf2">
<mml:math id="m6">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>E</mml:mi>
<mml:mi>G</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, <inline-formula id="inf3">
<mml:math id="m7">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>E</mml:mi>
<mml:mi>D</mml:mi>
<mml:mi>U</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, <inline-formula id="inf4">
<mml:math id="m8">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>U</mml:mi>
<mml:mi>R</mml:mi>
<mml:mi>B</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, <inline-formula id="inf5">
<mml:math id="m9">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>D</mml:mi>
<mml:mi>I</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, and <inline-formula id="inf6">
<mml:math id="m10">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>E</mml:mi>
<mml:mi>P</mml:mi>
<mml:mi>S</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> stand for sustainable environment, economic growth, education, urbanization, digital innovation, and environmental policy stringency, respectively. The log-linear transformations in <xref ref-type="disp-formula" rid="e3">Equations 3</xref>, <xref ref-type="disp-formula" rid="e4">4</xref> enhance interpretability and address issues of heteroskedasticity, making the coefficients elasticities that reflect percentage changes in sustainable environment outcomes relative to the predictors. Overall, the model structure provides a robust framework to capture both linear and nonlinear dynamics of how educational, economic, technological, and policy factors collectively shape SE in emerging economies. The elasticity coefficients <inline-formula id="inf7">
<mml:math id="m11">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b2;</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> to <inline-formula id="inf8">
<mml:math id="m12">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b2;</mml:mi>
<mml:mn>6</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> reveal the strength and direction of the relationship, while <inline-formula id="inf9">
<mml:math id="m13">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b2;</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> identifies the constant&#x2019;s deviation (intercept). In the scenario where t &#x3d; 1, &#x2026; , T and i &#x3d; 1, &#x2026; , N represent the time frame and selected country, respectively; <inline-formula id="inf10">
<mml:math id="m14">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b5;</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> denotes the terms utilized in error correction. In the foregoing equation, the letter &#x2018;i&#x27; represents the cross-section in our case, which encompasses five BRICS nations. The letter &#x2018;t&#x27; represents the operator for the time series, covering the years 1990&#x2013;2023.</p>
<p>Before establishing the integration order of each element, we must commence our econometric analysis by assessing the degree of cross-sectional dependency (CD) of the highlighted variables. Consequently, the CD test developed by <xref ref-type="bibr" rid="B71">Pesaran (2007)</xref> can be employed to estimate the cross-sectional dependence on residuals.</p>
<p>The equation for the CD assessment is shown below in <xref ref-type="disp-formula" rid="e5">Equations 5</xref>&#x2013;<xref ref-type="disp-formula" rid="e9">9</xref>:<disp-formula id="e5">
<mml:math id="m15">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b4;</mml:mi>
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>D</mml:mi>
<mml:mi>P</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msup>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>T</mml:mi>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>N</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>N</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:mfrac>
</mml:msup>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:mfrac>
<mml:msub>
<mml:mover accent="true">
<mml:mi mathvariant="italic">PR</mml:mi>
<mml:mo>&#x5e;</mml:mo>
</mml:mover>
<mml:mi>N</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
<label>(5)</label>
</disp-formula>
</p>
<p>Using the slope homogeneity analysis, the consistency of the slope coefficients in the cointegration equation was determined. Formerly invented by <xref ref-type="bibr" rid="B84">Swamy (1970)</xref>, <xref ref-type="bibr" rid="B38">Hashem Pesaran and Yamagata (2008)</xref> developed and employed the test to generate two statistics. The test was created by, but subsequently utilized to get two statistics:<disp-formula id="e6">
<mml:math id="m16">
<mml:mrow>
<mml:msub>
<mml:mover accent="true">
<mml:mo>&#x394;</mml:mo>
<mml:mo>&#x5e;</mml:mo>
</mml:mover>
<mml:mrow>
<mml:mi>S</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>H</mml:mi>
<mml:mi>T</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:msqrt>
<mml:mi>N</mml:mi>
</mml:msqrt>
<mml:mo>&#xd7;</mml:mo>
<mml:msqrt>
<mml:mrow>
<mml:mn>2</mml:mn>
<mml:mi>k</mml:mi>
</mml:mrow>
</mml:msqrt>
<mml:mo>&#xd7;</mml:mo>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mi>N</mml:mi>
</mml:mrow>
</mml:mfrac>
<mml:mover accent="true">
<mml:mi>S</mml:mi>
<mml:mo>&#x5e;</mml:mo>
</mml:mover>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>k</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
<label>(6)</label>
</disp-formula>
<disp-formula id="e7">
<mml:math id="m17">
<mml:mrow>
<mml:msub>
<mml:mover accent="true">
<mml:mover accent="true">
<mml:mo>&#x394;</mml:mo>
<mml:mo>&#x5e;</mml:mo>
</mml:mover>
<mml:mo>&#x5e;</mml:mo>
</mml:mover>
<mml:mrow>
<mml:mtext>adj</mml:mtext>
<mml:mo>.</mml:mo>
<mml:mtext>&#x2002;</mml:mtext>
<mml:mi mathvariant="normal">S</mml:mi>
<mml:mo>&#x2010;</mml:mo>
<mml:mtext>HT</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:msqrt>
<mml:mi mathvariant="normal">N</mml:mi>
</mml:msqrt>
<mml:mo>&#xd7;</mml:mo>
<mml:msqrt>
<mml:mfrac>
<mml:mrow>
<mml:mi mathvariant="normal">T</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
<mml:mi mathvariant="normal">k</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi mathvariant="normal">T</mml:mi>
<mml:mo>&#x2010;</mml:mo>
<mml:mi mathvariant="normal">k</mml:mi>
<mml:mo>&#x2010;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:mfrac>
</mml:msqrt>
<mml:mo>&#xd7;</mml:mo>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="normal">N</mml:mi>
</mml:mrow>
</mml:mfrac>
<mml:mover accent="true">
<mml:mi mathvariant="normal">S</mml:mi>
<mml:mo>&#x5e;</mml:mo>
</mml:mover>
<mml:mo>&#x2010;</mml:mo>
<mml:mn>2</mml:mn>
<mml:mi mathvariant="normal">k</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
<label>&#x2009;(7)</label>
</disp-formula>
</p>
<p>
<xref ref-type="bibr" rid="B71">Pesaran&#x2019;s (2007)</xref> second-generation panel unit root is the next test, the enhanced cross-sectional IPS (CIPS) evaluation, which is based on the traditional Cross-sectional Augmented Dickey-Fuller (CADF) statistic regression. <xref ref-type="bibr" rid="B92">Westerlund&#x2019;s (2007)</xref> cointegration methodologies might then be used to confirm long-term cointegration.</p>
<p>Here, is Pesaran&#x2019;s CADF test:<disp-formula id="e8">
<mml:math id="m18">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mo>&#x394;</mml:mo>
<mml:mtext>CS</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mi mathvariant="normal">&#x3c6;</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">&#x3c6;</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mtext>CS</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>t</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>l</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:mi mathvariant="normal">&#x3f1;</mml:mi>
<mml:msub>
<mml:mover accent="true">
<mml:mtext>CS</mml:mtext>
<mml:mo>&#xaf;</mml:mo>
</mml:mover>
<mml:mrow>
<mml:mi mathvariant="normal">t</mml:mi>
<mml:mo>&#x2010;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:mstyle displaystyle="true">
<mml:munderover>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi mathvariant="normal">l</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>0</mml:mn>
</mml:mrow>
<mml:mi mathvariant="normal">p</mml:mi>
</mml:munderover>
</mml:mstyle>
<mml:msub>
<mml:mi mathvariant="normal">&#x3c8;</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>l</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x394;</mml:mo>
<mml:msub>
<mml:mover accent="true">
<mml:mtext>CS</mml:mtext>
<mml:mo>&#xaf;</mml:mo>
</mml:mover>
<mml:mrow>
<mml:mi mathvariant="normal">t</mml:mi>
<mml:mo>&#x2010;</mml:mo>
<mml:mi mathvariant="normal">l</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:mstyle displaystyle="true">
<mml:munderover>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi mathvariant="normal">l</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi mathvariant="normal">p</mml:mi>
</mml:munderover>
</mml:mstyle>
<mml:msub>
<mml:mi>&#x3c5;</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>l</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x394;</mml:mo>
<mml:msub>
<mml:mover accent="true">
<mml:mtext>CS</mml:mtext>
<mml:mo>&#xaf;</mml:mo>
</mml:mover>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>t</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>l</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi mathvariant="normal">&#x3bc;</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
<label>(8)</label>
</disp-formula>
</p>
<p>
<xref ref-type="disp-formula" rid="e9">Equation 9</xref>, on the other hand, parades the cross-sectional Parallel to Im, Pesaran, and Shin (<xref ref-type="bibr" rid="B41">Im et al., 2003</xref>) scrutiny as follows:<disp-formula id="e9">
<mml:math id="m19">
<mml:mrow>
<mml:msub>
<mml:mover accent="true">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>I</mml:mi>
<mml:mi>P</mml:mi>
<mml:mi>S</mml:mi>
</mml:mrow>
<mml:mo>&#x5e;</mml:mo>
</mml:mover>
<mml:mrow>
<mml:mi>U</mml:mi>
<mml:mi>R</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mi>N</mml:mi>
</mml:mrow>
</mml:mfrac>
<mml:mstyle displaystyle="true">
<mml:munderover>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi>N</mml:mi>
</mml:munderover>
</mml:mstyle>
<mml:msub>
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>A</mml:mi>
<mml:mi>D</mml:mi>
<mml:mi>F</mml:mi>
</mml:mrow>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
<label>(9)</label>
</disp-formula>where N is the number of elucidations.</p>
<p>
<xref ref-type="bibr" rid="B92">Westerlund&#x2019;s (2007)</xref> cointegration procedure is as follows in <xref ref-type="disp-formula" rid="e10">Equations 10</xref>&#x2013;<xref ref-type="disp-formula" rid="e12">12</xref>:<disp-formula id="e10">
<mml:math id="m20">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mo>&#x2206;</mml:mo>
<mml:mi mathvariant="normal">y</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:msup>
<mml:msub>
<mml:mi mathvariant="normal">&#x3a8;</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>&#x2032;</mml:mo>
</mml:msup>
<mml:msub>
<mml:mi mathvariant="normal">d</mml:mi>
<mml:mi mathvariant="normal">t</mml:mi>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi mathvariant="normal">&#x3d5;</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:msub>
<mml:mi mathvariant="normal">y</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>t</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>l</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msup>
<mml:msub>
<mml:mi mathvariant="normal">&#x3bb;</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>&#x2032;</mml:mo>
</mml:msup>
<mml:msub>
<mml:mi mathvariant="normal">x</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>t</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>l</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:mstyle displaystyle="true">
<mml:munderover>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi mathvariant="normal">j</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mtext>pi</mml:mtext>
</mml:munderover>
</mml:mstyle>
<mml:msub>
<mml:mi mathvariant="normal">w</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x394;</mml:mo>
<mml:msub>
<mml:mi>y</mml:mi>
<mml:mrow>
<mml:mi mathvariant="normal">i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi mathvariant="normal">t</mml:mi>
<mml:mo>&#x2010;</mml:mo>
<mml:mi mathvariant="normal">j</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:mstyle displaystyle="true">
<mml:munderover>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi mathvariant="normal">j</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>0</mml:mn>
</mml:mrow>
<mml:mtext>pi</mml:mtext>
</mml:munderover>
</mml:mstyle>
<mml:msub>
<mml:mi mathvariant="normal">&#x3b3;</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x394;</mml:mo>
<mml:msub>
<mml:mi>x</mml:mi>
<mml:mrow>
<mml:mi mathvariant="normal">i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi mathvariant="normal">t</mml:mi>
<mml:mo>&#x2010;</mml:mo>
<mml:mi mathvariant="normal">j</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi mathvariant="normal">e</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
<label>(10)</label>
</disp-formula>
</p>
<p>The evaluation of <xref ref-type="disp-formula" rid="e10">Equation 10</xref> will have rendered the subsequent four distinct tests obsolete:</p>
<p>Mean Group Tests:<disp-formula id="e11">
<mml:math id="m21">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">G</mml:mi>
<mml:mi mathvariant="normal">t</mml:mi>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:msup>
<mml:mi mathvariant="normal">N</mml:mi>
<mml:mrow>
<mml:mo>&#x2010;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msup>
<mml:mrow>
<mml:mstyle displaystyle="true">
<mml:munderover>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi mathvariant="normal">i</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi mathvariant="normal">N</mml:mi>
</mml:munderover>
</mml:mstyle>
<mml:mfrac>
<mml:msub>
<mml:mover accent="true">
<mml:mi mathvariant="normal">&#xd8;</mml:mi>
<mml:mo>&#x5e;</mml:mo>
</mml:mover>
<mml:mi mathvariant="normal">i</mml:mi>
</mml:msub>
<mml:mrow>
<mml:mtext>SE</mml:mtext>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msub>
<mml:mover accent="true">
<mml:mi mathvariant="normal">&#xd8;</mml:mi>
<mml:mo>&#x5e;</mml:mo>
</mml:mover>
<mml:mi mathvariant="normal">i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
<mml:mtext>&#x2009;&#x2009;&#x2009;and&#x2009;&#x2009;</mml:mtext>
<mml:msub>
<mml:mi mathvariant="normal">G</mml:mi>
<mml:mi mathvariant="normal">a</mml:mi>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:msup>
<mml:mi mathvariant="normal">N</mml:mi>
<mml:mrow>
<mml:mo>&#x2010;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msup>
<mml:mrow>
<mml:mstyle displaystyle="true">
<mml:munderover>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi mathvariant="normal">i</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi mathvariant="normal">N</mml:mi>
</mml:munderover>
</mml:mstyle>
<mml:mfrac>
<mml:mrow>
<mml:mi mathvariant="normal">T</mml:mi>
<mml:msub>
<mml:mover accent="true">
<mml:mi mathvariant="normal">&#xd8;</mml:mi>
<mml:mo>&#x5e;</mml:mo>
</mml:mover>
<mml:mi mathvariant="normal">i</mml:mi>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mover accent="true">
<mml:mi mathvariant="normal">&#xd8;</mml:mi>
<mml:mo>&#x5e;</mml:mo>
</mml:mover>
<mml:mi mathvariant="normal">i</mml:mi>
</mml:msub>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:mrow>
</mml:math>
<label>(11)</label>
</disp-formula>
</p>
<p>Panel-based tests:<disp-formula id="e12">
<mml:math id="m22">
<mml:mrow>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:msub>
<mml:mover accent="true">
<mml:mi>&#xd8;</mml:mi>
<mml:mo>&#x5e;</mml:mo>
</mml:mover>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mrow>
<mml:mi>S</mml:mi>
<mml:mi>E</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msub>
<mml:mover accent="true">
<mml:mi>&#xd8;</mml:mi>
<mml:mo>&#x5e;</mml:mo>
</mml:mover>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:mfrac>
<mml:mtext>&#x2009;&#x2009;and&#x2009;&#x2009;</mml:mtext>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mi>a</mml:mi>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mi>T</mml:mi>
<mml:msub>
<mml:mover accent="true">
<mml:mi>&#xd8;</mml:mi>
<mml:mo>&#x5e;</mml:mo>
</mml:mover>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
<label>(12)</label>
</disp-formula>
<inline-formula id="inf11">
<mml:math id="m23">
<mml:mrow>
<mml:msub>
<mml:mover accent="true">
<mml:mi>&#xd8;</mml:mi>
<mml:mo>&#x5e;</mml:mo>
</mml:mover>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula id="inf12">
<mml:math id="m24">
<mml:mrow>
<mml:mi>S</mml:mi>
<mml:mi>E</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msub>
<mml:mover accent="true">
<mml:mi>&#xd8;</mml:mi>
<mml:mo>&#x5e;</mml:mo>
</mml:mover>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula> are the semiparametric kernel and the standard error estimator of <inline-formula id="inf13">
<mml:math id="m25">
<mml:mrow>
<mml:msub>
<mml:mover accent="true">
<mml:mi>&#xd8;</mml:mi>
<mml:mo>&#x5e;</mml:mo>
</mml:mover>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, respectively.</p>
<p>We model the influence of independent factors on the distribution of SE using the panel MMQR approach developed by <xref ref-type="bibr" rid="B60">Machado et al. (2019)</xref> in <xref ref-type="disp-formula" rid="e13">Equations 13</xref>&#x2013;<xref ref-type="disp-formula" rid="e16">16</xref>.<disp-formula id="e13">
<mml:math id="m26">
<mml:mrow>
<mml:msub>
<mml:mi>Y</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mi>&#x3b1;</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:mover accent="true">
<mml:msub>
<mml:mi>X</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#xb4;</mml:mo>
</mml:mover>
<mml:mi>&#x3c8;</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b4;</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:mover accent="true">
<mml:msub>
<mml:mi>Z</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#xb4;</mml:mo>
</mml:mover>
<mml:mi>&#x3d1;</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:msub>
<mml:mi>U</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
<label>(13)</label>
</disp-formula>
</p>
<p>The unidentified factors are indicated by <inline-formula id="inf14">
<mml:math id="m27">
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>&#x3b1;</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>&#x3c8;</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>&#x3b4;</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>&#x3d1;</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:math>
</inline-formula>, <inline-formula id="inf15">
<mml:math id="m28">
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b1;</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>,</mml:mo>
<mml:msub>
<mml:mi>&#x3b4;</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:math>
</inline-formula>, <inline-formula id="inf16">
<mml:math id="m29">
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
<mml:mo>,</mml:mo>
<mml:mo>&#x2026;</mml:mo>
<mml:mo>.</mml:mo>
<mml:mo>,</mml:mo>
<mml:mi>n</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> denotes the nation-specific, fixed effects and <inline-formula id="inf17">
<mml:math id="m30">
<mml:mrow>
<mml:mover accent="true">
<mml:mi>Z</mml:mi>
<mml:mo>&#xb4;</mml:mo>
</mml:mover>
</mml:mrow>
</mml:math>
</inline-formula> which portrays the k-vector.<disp-formula id="e14">
<mml:math id="m31">
<mml:mrow>
<mml:msub>
<mml:mi>Z</mml:mi>
<mml:mi>l</mml:mi>
</mml:msub>
<mml:msub>
<mml:mrow>
<mml:mo>&#x3d;</mml:mo>
<mml:mi>Z</mml:mi>
</mml:mrow>
<mml:mi>l</mml:mi>
</mml:msub>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msub>
<mml:mi>X</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>,</mml:mo>
<mml:mi>l</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
<mml:mo>,</mml:mo>
<mml:mn>2</mml:mn>
<mml:mo>,</mml:mo>
<mml:mo>&#x2026;</mml:mo>
<mml:mo>.</mml:mo>
<mml:mo>,</mml:mo>
<mml:mi>k</mml:mi>
</mml:mrow>
</mml:math>
<label>(14)</label>
</disp-formula>
<disp-formula id="e15">
<mml:math id="m32">
<mml:mrow>
<mml:msub>
<mml:mi>Q</mml:mi>
<mml:mi>y</mml:mi>
</mml:msub>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi mathvariant="normal">&#x3c4;</mml:mi>
<mml:mo>&#x7c;</mml:mo>
<mml:msub>
<mml:mi>X</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#x3d;</mml:mo>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b1;</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3b4;</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi mathvariant="normal">&#x3c4;</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#x2b;</mml:mo>
<mml:mover accent="true">
<mml:msub>
<mml:mi>X</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#xb4;</mml:mo>
</mml:mover>
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</p>
<p>The check function is exemplified by <inline-formula id="inf19">
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<p>As a robustness check following the MMQR estimation, the present study employs the Feasible Generalized Least Squares (FGLS) technique to examine the stability and direction of the associations among education (EDU), economic growth (E.G.,), digital innovation (DI), urbanization (URB), and sustainable environment (SE). FGLS is widely recognized across disciplines for its ability to address issues of heteroskedasticity and autocorrelation, providing efficient and reliable parameter estimates when the error structure is non-spherical, thus reinforcing the credibility of the primary findings.</p>
<p>This study adopts the Granger causality test approach suggested by <xref ref-type="bibr" rid="B22">Dumitrescu and Hurlin (2012)</xref> to provide insight into the directional connections between economic variables. This strategy is exemplified as:<disp-formula id="e17">
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</p>
<p>The factors <inline-formula id="inf20">
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</sec>
</sec>
<sec sec-type="results|discussion" id="s4">
<title>4 Results and discussions</title>
<p>The results of the cross-section dependence (CD) test in <xref ref-type="table" rid="T4">Table 4</xref> reveal that most variables&#x2014;EG, URB, EDU, DI, and EPS&#x2014;exhibit significant cross-sectional dependence, indicating that developments in one BRICS country tend to influence others. This finding aligns with the expectation of strong regional interconnectedness, particularly in areas such as economic growth, technological advancement, and policy responses to global environmental challenges. However, in contrast, SE (proxied by biocapacity) does not exhibit significant cross-sectional dependence (p-value &#x3d; 0.276), suggesting that biocapacity is shaped largely by country-specific conditions. This apparent isolation may stem from substantial heterogeneity in natural resource endowments, geographic and ecological systems, and the structure of land use and conservation policies across BRICS nations. Unlike policy- or technology-driven variables, biocapacity is deeply rooted in physical and biological characteristics that are not easily transferrable or influenced by external shocks. Moreover, national-level ecological strategies and varying commitments to biodiversity and land preservation may further reinforce this divergence. While this outcome may appear to challenge assumptions of regional environmental interdependence, it underscores the need to differentiate between shared policy challenges and localized ecological capacities. The CD results thus provide important justification for the use of robust estimation techniques like MMQR and FGLS, which can accommodate both interdependent and independent cross-sectional structures.</p>
<table-wrap id="T4" position="float">
<label>TABLE 4</label>
<caption>
<p>Cross-section dependence (CD).</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Variables</th>
<th align="left">Value</th>
<th align="left">P-value</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">SE<sub>i,t</sub>
</td>
<td align="left">&#x2212;1.090</td>
<td align="left">0.276</td>
</tr>
<tr>
<td align="left">EG<sub>i,t</sub>
</td>
<td align="left">7.390&#x2a;&#x2a;&#x2a;</td>
<td align="left">0.000</td>
</tr>
<tr>
<td align="left">URB<sub>i,t</sub>
</td>
<td align="left">17.140&#x2a;&#x2a;&#x2a;</td>
<td align="left">0.000</td>
</tr>
<tr>
<td align="left">EDU<sub>i,t</sub>
</td>
<td align="left">9.840&#x2a;&#x2a;&#x2a;</td>
<td align="left">0.000</td>
</tr>
<tr>
<td align="left">DI<sub>i,t</sub>
</td>
<td align="left">17.360&#x2a;&#x2a;&#x2a;</td>
<td align="left">0.000</td>
</tr>
<tr>
<td align="left">EPS<sub>i,t</sub>
</td>
<td align="left">11.980&#x2a;&#x2a;&#x2a;</td>
<td align="left">0.000</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>Note: The significance at 1% is specified by &#x2a;&#x2a;&#x2a;.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>The slope heterogeneity test results in <xref ref-type="table" rid="T5">Table 5</xref> reveal key differences between the two model specifications. For the linear (SE &#x3d; f (E.G., URB, EDU, DI, EPS)) and nonlinear (SE &#x3d; f (E.G., URB, EDU, EDU<sup>2</sup>, DI, EPS)) models, both the standard and adjusted test statistics are highly significant at the 1% level, confirming the presence of slope heterogeneity across countries. This suggests that the impact of explanatory variables on SE differs substantially among BRICS nations, reinforcing the need for estimation techniques like MMQR that account for such variation.</p>
<table-wrap id="T5" position="float">
<label>TABLE 5</label>
<caption>
<p>Slope heterogeneity test (S-HT).</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Test</th>
<th align="left">Value</th>
<th align="left">P-value</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td colspan="3" align="left">Model: SE &#x3d; f (E.G., URB, EDU, DI, EPS)</td>
</tr>
<tr>
<td align="left">
<inline-formula id="inf21">
<mml:math id="m38">
<mml:mrow>
<mml:msub>
<mml:mover accent="true">
<mml:mo>&#x394;</mml:mo>
<mml:mo>&#x5e;</mml:mo>
</mml:mover>
<mml:mrow>
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<mml:mo>&#x2212;</mml:mo>
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</mml:math>
</inline-formula>
</td>
<td align="left">3.246&#x2a;&#x2a;&#x2a;</td>
<td align="left">0.001</td>
</tr>
<tr>
<td align="left">
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<td align="left">3.642&#x2a;&#x2a;&#x2a;</td>
<td align="left">0.000</td>
</tr>
<tr>
<td colspan="3" align="left">Model: SE &#x3d; f (E.G., URB, EDU, EDU<sup>2</sup>, DI, EPS)</td>
</tr>
<tr>
<td align="left">
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<td align="left">6.207&#x2a;&#x2a;&#x2a;</td>
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<tr>
<td align="left">
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<mml:mi mathvariant="bold-italic">a</mml:mi>
<mml:mi mathvariant="bold-italic">d</mml:mi>
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<td align="left">7.098&#x2a;&#x2a;&#x2a;</td>
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</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>Note: The significance at 1% is denoted by &#x2a;&#x2a;&#x2a;.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>To achieve trustworthy and effective estimates, it is essential to eliminate time-dependent elements from the data to assess its stationarity before implementing any robustness or regression analyses (<xref ref-type="bibr" rid="B40">Hu et al., 2022</xref>). The unit root diagnostics in <xref ref-type="table" rid="T6">Table 6</xref>, conducted through CADF and CIPS tests, reveal a mixed integration order among the variables, with critical implications for model specification. E.G., and EDU are found to be stationary at the level under both tests, indicating I (0) behavior, while DI and EPS achieve stationarity only after first differencing, confirming they are I (1). However, SE and URB remain non-stationary even after first differencing in both CADF and CIPS tests, suggesting potential issues with their integration properties. This persistent non-stationarity could reflect structural shifts, measurement inconsistencies, or long-term trends not captured by standard differencing. Therefore, the application of robust estimation methods like MMQR and FGLS is particularly appropriate, as these techniques can accommodate non-stationary panels and provide consistent estimates in the presence of unit root and slope heterogeneity.</p>
<table-wrap id="T6" position="float">
<label>TABLE 6</label>
<caption>
<p>Unit root tests.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Variables</th>
<th align="left">Level (I (0))</th>
<th align="left">1st difference (I (1))</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td colspan="3" align="left">Cross-Sectionally Augmented Dickey-Fuller (CADF)</td>
</tr>
<tr>
<td align="left">SE<sub>i,t</sub>
</td>
<td align="left">0.037</td>
<td align="left">0.383</td>
</tr>
<tr>
<td align="left">EG<sub>i,t</sub>
</td>
<td align="left">&#x2212;3.158&#x2a;&#x2a;</td>
<td align="left">&#x2212;4.956&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left">URB<sub>i,t</sub>
</td>
<td align="left">&#x2212;0.332</td>
<td align="left">&#x2212;0.884</td>
</tr>
<tr>
<td align="left">EDU<sub>i,t</sub>
</td>
<td align="left">&#x2212;2.887&#x2a;</td>
<td align="left">&#x2212;3.647&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left">DI<sub>i,t</sub>
</td>
<td align="left">&#x2212;0.969</td>
<td align="left">&#x2212;3.199&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left">EPS<sub>i,t</sub>
</td>
<td align="left">&#x2212;2.635</td>
<td align="left">&#x2212;4.533&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td colspan="3" align="left">Cross-Sectionally Augmented IPS (CIPS)</td>
</tr>
<tr>
<td align="left">SE<sub>i,t</sub>
</td>
<td align="left">&#x2212;0.015</td>
<td align="left">&#x2212;0.484</td>
</tr>
<tr>
<td align="left">EG<sub>i,t</sub>
</td>
<td align="left">&#x2212;4.192&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;6.227&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left">URB<sub>i,t</sub>
</td>
<td align="left">0.683</td>
<td align="left">&#x2212;0.584</td>
</tr>
<tr>
<td align="left">EDU<sub>i,t</sub>
</td>
<td align="left">&#x2212;3.303&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;4.739&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left">DI<sub>i,t</sub>
</td>
<td align="left">&#x2212;0.498</td>
<td align="left">&#x2212;3.199&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left">EPS<sub>i,t</sub>
</td>
<td align="left">&#x2212;2.287</td>
<td align="left">&#x2212;5.160&#x2a;&#x2a;&#x2a;</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>Note: &#x2a;&#x2a;&#x2a;, &#x2a;&#x2a;, and &#x2a; show the significance at 1%, 5%, and 10%, respectively.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>The results of <xref ref-type="bibr" rid="B92">Westerlund&#x2019;s (2007)</xref> cointegration test in <xref ref-type="table" rid="T7">Table 7</xref> provide mixed but insightful evidence regarding the long-run equilibrium relationships among the variables in both model specifications. For the linear model, the Gt and Pt statistics are highly significant at the 1% level, indicating strong evidence of cointegration based on group-mean and panel-based t-statistics. However, the Ga and Pa statistics are not significant, suggesting that when averaging across units, cointegration is not uniformly present&#x2014;highlighting potential heterogeneity across BRICS nations.</p>
<table-wrap id="T7" position="float">
<label>TABLE 7</label>
<caption>
<p>Cointegration test.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Statistic</th>
<th align="left">Value</th>
<th align="left">Z-value</th>
<th align="left">P-value</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td colspan="4" align="left">Model: SE &#x3d; f (E.G., URB, EDU, DI, EPS)</td>
</tr>
<tr>
<td align="left">Gt</td>
<td align="left">&#x2212;6.020&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;7.916</td>
<td align="left">0.000</td>
</tr>
<tr>
<td align="left">Ga</td>
<td align="left">&#x2212;7.220</td>
<td align="left">2.104</td>
<td align="left">0.982</td>
</tr>
<tr>
<td align="left">Pt</td>
<td align="left">&#x2212;27.188&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;20.244</td>
<td align="left">0.000</td>
</tr>
<tr>
<td align="left">Pa</td>
<td align="left">&#x2212;5.135</td>
<td align="left">1.658</td>
<td align="left">0.951</td>
</tr>
<tr>
<td colspan="4" align="left">Model: SE &#x3d; f (E.G., URB, EDU, EDU<sup>2</sup>, DI, EPS)</td>
</tr>
<tr>
<td align="left">Gt</td>
<td align="left">&#x2212;7.712&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;11.345</td>
<td align="left">0.000</td>
</tr>
<tr>
<td align="left">Ga</td>
<td align="left">&#x2212;6.396</td>
<td align="left">2.683</td>
<td align="left">0.996</td>
</tr>
<tr>
<td align="left">Pt</td>
<td align="left">&#x2212;37.513&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;29.495</td>
<td align="left">0.000</td>
</tr>
<tr>
<td align="left">Pa</td>
<td align="left">&#x2212;2.000</td>
<td align="left">2.811</td>
<td align="left">0.998</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>Note: &#x2a;&#x2a;&#x2a; Show the significance at 1%.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>In the nonlinear model, a similar pattern emerges. The Gt (&#x2212;7.712) and Pt (&#x2212;37.513) statistics remain highly significant, reinforcing the presence of cointegration based on t-statistics, even when education is modeled nonlinearly. Yet again, the Ga and Pa statistics are not significant, suggesting that cointegration is not consistent across all cross-sectional units when using average-based approaches.</p>
<p>Overall, these results confirm that long-run relationships exist among the variables in both models, particularly when considering individual panel dynamics (Gt and Pt), but also highlight the importance of accounting for cross-sectional heterogeneity, justifying the use of distribution-sensitive techniques such as MMQR.</p>
<p>The Variance Inflation Factor (VIF) results presented in <xref ref-type="table" rid="T8">Table 8</xref> indicate that multicollinearity is not a concern in the model. All VIF values fall well below the conventional threshold of 10, with the highest being 2.950 for EDU and a mean VIF of 2.180. The corresponding 1/VIF values, ranging from 0.339 to 0.741, further confirm acceptable levels of correlation among the explanatory variables. These results affirm the independence of predictors&#x2014;EG, URB, EDU, DI, and EPS&#x2014;ensuring that the estimated coefficients are not distorted by linear dependencies. This diagnostic supports the validity and reliability of the subsequent regression analyses, particularly the robustness of the Method of Moments Quantile Regression (MMQR) results.</p>
<table-wrap id="T8" position="float">
<label>TABLE 8</label>
<caption>
<p>Multicollinearity check.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Variable</th>
<th align="left">VIF</th>
<th align="left">1/VIF</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">EG<sub>i,t</sub>
</td>
<td align="left">1.350</td>
<td align="left">0.741</td>
</tr>
<tr>
<td align="left">URB<sub>i,t</sub>
</td>
<td align="left">2.840</td>
<td align="left">0.352</td>
</tr>
<tr>
<td align="left">EDU<sub>i,t</sub>
</td>
<td align="left">2.950</td>
<td align="left">0.339</td>
</tr>
<tr>
<td align="left">DI<sub>i,t</sub>
</td>
<td align="left">2.210</td>
<td align="left">0.452</td>
</tr>
<tr>
<td align="left">EPS<sub>i,t</sub>
</td>
<td align="left">1.570</td>
<td align="left">0.636</td>
</tr>
<tr>
<td align="left">Mean</td>
<td align="left">2.180</td>
<td align="left">-</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>Building on the stable multicollinearity profile, the MMQR estimates reported in <xref ref-type="table" rid="T9">Table 9</xref> provide nuanced insights into how the effects of the independent variables on SE differ across its conditional distribution, capturing the heterogeneity among BRICS nations. In the linear model, URB consistently shows a strong positive and significant effect across all quantiles, indicating that urbanization&#x2014;when accompanied by adequate infrastructure and governance&#x2014;can support sustainability outcomes. This finding aligns with <xref ref-type="bibr" rid="B9">Bibri et al. (2020)</xref>, who found that compact urban design and public service access can enhance ecological performance in emerging economies.</p>
<table-wrap id="T9" position="float">
<label>TABLE 9</label>
<caption>
<p>Results of MMQR.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th rowspan="2" align="left">Variables</th>
<th rowspan="2" align="left">Location</th>
<th rowspan="2" align="left">Scale</th>
<th colspan="4" align="left">Quantiles</th>
</tr>
<tr>
<th align="left">Q<sub>0.25</sub>
</th>
<th align="left">Q<sub>0.50</sub>
</th>
<th align="left">Q<sub>0.75</sub>
</th>
<th align="left">Q<sub>0.90</sub>
</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td colspan="7" align="left">Model: SE &#x3d; f (E.G., URB, EDU, DI, EPS)</td>
</tr>
<tr>
<td align="left">EG<sub>i,t</sub>
</td>
<td align="left">&#x2212;0.013</td>
<td align="left">&#x2212;0.046&#x2a;</td>
<td align="left">0.021</td>
<td align="left">&#x2212;0.016</td>
<td align="left">&#x2212;0.049</td>
<td align="left">&#x2212;0.074</td>
</tr>
<tr>
<td align="left">URB<sub>i,t</sub>
</td>
<td align="left">0.216&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;0.003</td>
<td align="left">0.219&#x2a;&#x2a;&#x2a;</td>
<td align="left">0.216&#x2a;&#x2a;&#x2a;</td>
<td align="left">0.214&#x2a;&#x2a;&#x2a;</td>
<td align="left">0.212&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left">EDU<sub>i,t</sub>
</td>
<td align="left">&#x2212;1.250&#x2a;&#x2a;&#x2a;</td>
<td align="left">0.288&#x2a;</td>
<td align="left">&#x2212;1.463&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;1.233&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;1.025&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;0.869&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left">DI<sub>i,t</sub>
</td>
<td align="left">&#x2212;0.568&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;0.007</td>
<td align="left">&#x2212;0.562&#x2a;&#x2a;</td>
<td align="left">&#x2212;0.568&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;0.573&#x2a;&#x2a;</td>
<td align="left">&#x2212;0.577&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left">EPS<sub>i,t</sub>
</td>
<td align="left">&#x2212;0.132</td>
<td align="left">0.099</td>
<td align="left">&#x2212;0.205</td>
<td align="left">&#x2212;0.126</td>
<td align="left">&#x2212;0.054</td>
<td align="left">&#x2212;0.001</td>
</tr>
<tr>
<td align="left">Constant</td>
<td align="left">&#x2212;8.580&#x2a;&#x2a;&#x2a;</td>
<td align="left">1.679&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;9.826&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;8.483&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;7.266&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;6.360&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td colspan="7" align="left">Model: SE &#x3d; f (E.G., URB, EDU, EDU<sup>2</sup>, DI, EPS)</td>
</tr>
<tr>
<td align="left">EG<sub>i,t</sub>
</td>
<td align="left">&#x2212;0.011</td>
<td align="left">&#x2212;0.072&#x2a;&#x2a;&#x2a;</td>
<td align="left">0.056</td>
<td align="left">&#x2212;0.018</td>
<td align="left">&#x2212;0.072&#x2a;</td>
<td align="left">&#x2212;0.104&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left">URB<sub>i,t</sub>
</td>
<td align="left">0.218&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;0.021&#x2a;&#x2a;&#x2a;</td>
<td align="left">0.237&#x2a;&#x2a;&#x2a;</td>
<td align="left">0.216&#x2a;&#x2a;&#x2a;</td>
<td align="left">0.200&#x2a;&#x2a;&#x2a;</td>
<td align="left">0.190&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left">EDU<sub>i,t</sub>
</td>
<td align="left">&#x2212;1.229&#x2a;&#x2a;&#x2a;</td>
<td align="left">0.002</td>
<td align="left">&#x2212;1.230&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;1.228&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;1.226&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;1.225&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left">EDU<sup>2</sup>
<sub>i,t</sub>
</td>
<td align="left">0.031</td>
<td align="left">&#x2212;0.432&#x2a;&#x2a;&#x2a;</td>
<td align="left">0.436&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;0.006</td>
<td align="left">&#x2212;0.338&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;0.528&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left">DI<sub>i,t</sub>
</td>
<td align="left">&#x2212;0.599&#x2a;&#x2a;</td>
<td align="left">0.432&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;1.004&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;0.562&#x2a;&#x2a;</td>
<td align="left">&#x2212;0.232</td>
<td align="left">&#x2212;0.042</td>
</tr>
<tr>
<td align="left">EPS<sub>i,t</sub>
</td>
<td align="left">&#x2212;0.102</td>
<td align="left">&#x2212;0.301&#x2a;</td>
<td align="left">0.179</td>
<td align="left">&#x2212;0.127</td>
<td align="left">&#x2212;0.358</td>
<td align="left">&#x2212;0.491</td>
</tr>
<tr>
<td align="left">Constant</td>
<td align="left">&#x2212;8.715&#x2a;&#x2a;&#x2a;</td>
<td align="left">3.579&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;12.062&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;8.405&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;5.661&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;4.085&#x2a;&#x2a;&#x2a;</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>Note: The significance level is indicated as &#x2a;&#x2a;&#x2a;&#x3c;1%, &#x2a;&#x2a;&#x3c;5%, and &#x2a;&#x3c;10%.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>In contrast, EDU displays a significant negative effect across all quantiles, a finding that may initially seem counterintuitive. This result, however, echoes the paradox reported by <xref ref-type="bibr" rid="B15">Chen et al. (2024)</xref>, who observed that educational expansion in the absence of environmental content may not yield eco-conscious behavior. <xref ref-type="bibr" rid="B87">Torroba Diaz et al. (2023)</xref> found that environmental literacy positively affects students&#x2019; sustainability actions, but general education alone does not foster eco-conscious behavior unless specific environmental education programs are implemented. In many BRICS countries, education systems have prioritized economic competitiveness and human capital development, often at the expense of ecological literacy. As a result, increased educational attainment or expanded enrollment&#x2014;particularly at the secondary and tertiary levels&#x2014;has not always translated into environmentally conscious behavior or policy engagement. While this interpretation remains partly speculative, it is worth noting the case of India, where expanding access to formal education has occurred alongside rising emissions. This trend is largely attributable to the nation&#x2019;s reliance on coal and other fossil fuels for energy production. Nonetheless, studies have highlighted curriculum gaps in sustainability education that may limit the environmental impact of educational progress (<xref ref-type="bibr" rid="B89">UNESCO, 2025</xref>). Such patterns illustrate the complex and potentially nonlinear relationship between education and environmental outcomes proposed in H1.</p>
<p>DI also shows a consistently negative and significant effect on SE, particularly in lower quantiles, suggesting that digital infrastructure expansion may initially strain environmental resources. This is consistent with findings by <xref ref-type="bibr" rid="B4">Alsanie (2025)</xref>, who reported that digitalization often increases electricity consumption and e-waste before efficiency benefits materialize. These results lend support to H2, highlighting the complex and potentially adverse impact of digital innovation on sustainability in its early stages of adoption. In contrast, E.G., and EPS demonstrate mostly negative or insignificant effects, indicating that economic expansion and environmental policy stringency may have context-specific or delayed impacts. Similar results are found in <xref ref-type="bibr" rid="B23">Efayena and Olele (2024)</xref>, which emphasizes that policy effectiveness depends on enforcement capacity and institutional quality. These findings offer empirical grounding for H4, which proposes that the effects of economic growth and policy stringency on sustainability are limited and highly contingent on broader policy integration.</p>
<p>The nonlinear model deepens these insights by incorporating EDU<sup>2</sup>, which reveals a significant U-shaped relationship between education and sustainability. While EDU remains negative, EDU<sup>2</sup> turns positive and significant at the median and upper quantiles. This confirms H1 by demonstrating a threshold effect, where education begins to foster sustainability only after surpassing a certain level of depth and quality. This finding supports the &#x201c;threshold hypothesis,&#x201d; where education only begins to promote sustainability after reaching a critical level of environmental integration and awareness. This is reinforced by <xref ref-type="bibr" rid="B62">Maneejuk and Yamaka (2021)</xref>, who found similar nonlinearity in the role of education in East Asian economies. The case of China is illustrative here&#x2014;where the national curriculum has increasingly integrated green competencies in recent years, resulting in measurable environmental improvements (<xref ref-type="bibr" rid="B96">Yang et al., 2022</xref>).</p>
<p>Moreover, DI in the nonlinear model shows diminishing negative effects, becoming insignificant at higher quantiles, suggesting that digital innovation may transition from a source of environmental burden to neutrality or benefit as supporting infrastructure and regulatory frameworks mature. This further supports H2, illustrating that the environmental effects of digital innovation evolve with a country&#x2019;s technological maturity and policy environment. URB retains its strong positive influence across all quantiles in both models, reinforcing H3 and highlighting the importance of guided urban development as a stable contributor to ecological improvement. This echoes the findings of <xref ref-type="bibr" rid="B35">Goel et al. (2024)</xref>, who argue that the environmental impact of digital tools evolves with a country&#x2019;s digital maturity and policy safeguards. URB retains its strong positive influence across all quantiles in both models, highlighting the crucial role of managed urban development.</p>
<p>Overall, these results justify the use of the MMQR framework by revealing the non-uniform nature of relationships across different sustainability levels (see <xref ref-type="fig" rid="F2">Figure 2</xref>). The nonlinear model, by capturing threshold effects of education and evolving digital impacts, provides a more refined and realistic understanding of the dynamics at play&#x2014;offering valuable insights for policy design tailored to the specific sustainability profile of each BRICS nation.</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>Graphical representation of MMQR results.</p>
</caption>
<graphic xlink:href="fenvs-13-1607166-g002.tif">
<alt-text content-type="machine-generated">Two sets of line graphs labeled Model 1 and Model 2, each with five graphs showing data trends for variables EG, URB, EDU, DI, and EPS. Shaded areas indicate variability, with horizontal axes labeled as quantiles.</alt-text>
</graphic>
</fig>
<p>The results from the Feasible Generalized Least Squares (FGLS) estimation, presented in <xref ref-type="table" rid="T10">Table 10</xref>, serve as a robustness check to validate the findings from the MMQR models. Overall, the FGLS outcomes largely corroborate the MMQR results, confirming the direction and significance of key relationships, while providing additional support for the stability of the core findings.</p>
<table-wrap id="T10" position="float">
<label>TABLE 10</label>
<caption>
<p>An analysis of FGLS panel regression to check robustness.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Variables</th>
<th align="left">Coefficients</th>
<th align="left">Standard error</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td colspan="3" align="left">Model: SE &#x3d; f (E.G., URB, EDU, DI, EPS)</td>
</tr>
<tr>
<td align="left">EG<sub>i,t</sub>
</td>
<td align="left">&#x2212;0.013</td>
<td align="left">0.035</td>
</tr>
<tr>
<td align="left">URB<sub>i,t</sub>
</td>
<td align="left">0.216&#x2a;&#x2a;&#x2a;</td>
<td align="left">0.012</td>
</tr>
<tr>
<td align="left">EDU<sub>i,t</sub>
</td>
<td align="left">&#x2212;1.250&#x2a;&#x2a;&#x2a;</td>
<td align="left">0.245</td>
</tr>
<tr>
<td align="left">DI<sub>i,t</sub>
</td>
<td align="left">&#x2212;0.568&#x2a;&#x2a;&#x2a;</td>
<td align="left">0.212</td>
</tr>
<tr>
<td align="left">EPS<sub>i,t</sub>
</td>
<td align="left">&#x2212;0.132</td>
<td align="left">0.247</td>
</tr>
<tr>
<td align="left">Constant</td>
<td align="left">&#x2212;8.580&#x2a;&#x2a;</td>
<td align="left">0.846</td>
</tr>
<tr>
<td align="left">Wald test</td>
<td align="left">572.750&#x2a;&#x2a;&#x2a;</td>
<td align="left">-</td>
</tr>
<tr>
<td colspan="3" align="left">Model: SE &#x3d; f (E.G., URB, EDU, EDU<sup>2</sup>, DI, EPS)</td>
</tr>
<tr>
<td align="left">EG<sub>i,t</sub>
</td>
<td align="left">&#x2212;0.011</td>
<td align="left">0.036</td>
</tr>
<tr>
<td align="left">URB<sub>i,t</sub>
</td>
<td align="left">0.218&#x2a;&#x2a;&#x2a;</td>
<td align="left">0.013</td>
</tr>
<tr>
<td align="left">EDU<sub>i,t</sub>
</td>
<td align="left">&#x2212;1.228&#x2a;&#x2a;&#x2a;</td>
<td align="left">0.261</td>
</tr>
<tr>
<td align="left">EDU<sup>2</sup>
<sub>i,t</sub>
</td>
<td align="left">0.031</td>
<td align="left">0.128</td>
</tr>
<tr>
<td align="left">DI<sub>i,t</sub>
</td>
<td align="left">&#x2212;0.600&#x2a;&#x2a;</td>
<td align="left">0.249</td>
</tr>
<tr>
<td align="left">EPS<sub>i,t</sub>
</td>
<td align="left">&#x2212;0.102</td>
<td align="left">0.273</td>
</tr>
<tr>
<td align="left">Constant</td>
<td align="left">&#x2212;8.715&#x2a;&#x2a;&#x2a;</td>
<td align="left">1.005</td>
</tr>
<tr>
<td align="left">Wald test</td>
<td align="left">573.000&#x2a;&#x2a;&#x2a;</td>
<td align="left">-</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>Note: The significance level is indicated as &#x2a;&#x2a;&#x2a;&#x3c;1% and &#x2a;&#x2a;&#x3c;5%.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>In both the linear and nonlinear specifications, URB maintains a positive and highly significant association with SE, reinforcing the conclusion that urbanization, when well-managed, contributes positively to environmental sustainability across BRICS countries. This consistency across models highlights urban planning and infrastructure development as a pivotal policy lever.</p>
<p>EDU remains strongly negative and significant in both models, consistent with the MMQR findings at lower quantiles. This reinforces the interpretation that mere enrollment&#x2014;without emphasis on environmental curricula or eco-literacy&#x2014;may not foster sustainability and could even align with increased consumption or industrial activity. However, in the nonlinear model, while EDU<sup>2</sup> is positive, it is not statistically significant, suggesting that the curvilinear (U-shaped) pattern observed in MMQR is more visible at distributional extremes and not uniform across the panel.</p>
<p>DI also continues to show a significant negative effect, aligning with MMQR findings at lower quantiles. This underlines that digital innovation, in its current form within BRICS, may exacerbate environmental pressures unless paired with green technology initiatives. The influence of, E.G., and EPS remains insignificant, confirming their limited direct impact on SE across the panel, which echoes the MMQR&#x2019;s weaker and less consistent results for these variables.</p>
<p>The significant Wald test values in both models confirm the joint significance of the explanatory variables and the reliability of the estimates.</p>
<p>The Granger causality test results in <xref ref-type="table" rid="T11">Table 11</xref> provide important insights into the directional relationships between SE and its predictors, revealing asymmetries in how different variables influence sustainability outcomes across BRICS nations. The bidirectional causality observed between DI and SE suggests a complex interplay between technological advancements and environmental sustainability. The statistically significant result for SE &#x2192; DI (F &#x3d; 7.221, <inline-formula id="inf25">
<mml:math id="m42">
<mml:mrow>
<mml:mi>p</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>0.003</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula>) indicates that environmental conditions strongly dictate the trajectory of digital adoption, possibly through policy interventions aimed at mitigating the ecological impacts of digital expansion. Conversely, the weaker significance of DI &#x2192; SE (F &#x3d; 2.634, <inline-formula id="inf26">
<mml:math id="m43">
<mml:mrow>
<mml:mi>p</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>0.090</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula>) implies that digital innovation exerts a marginal influence on environmental sustainability (<xref ref-type="bibr" rid="B27">Fang et al., 2023</xref>; <xref ref-type="bibr" rid="B65">McAleer, 2021</xref>; <xref ref-type="bibr" rid="B86">Tiwari et al., 2021</xref>; <xref ref-type="bibr" rid="B97">Y&#x131;ld&#x131;z et al., 2023</xref>), aligning with previous findings that excessive reliance on digitalization without robust green technology frameworks contributes to ecological strain rather than sustainability improvements.</p>
<table-wrap id="T11" position="float">
<label>TABLE 11</label>
<caption>
<p>Granger-causality analysis.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Causality</th>
<th align="left">F-Stat</th>
<th align="left">P-value</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">
<inline-formula id="inf27">
<mml:math id="m44">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>D</mml:mi>
<mml:mi>I</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2192;</mml:mo>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi>S</mml:mi>
<mml:mi>E</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">2.634&#x2a;</td>
<td align="left">0.090</td>
</tr>
<tr>
<td align="left">
<inline-formula id="inf28">
<mml:math id="m45">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>S</mml:mi>
<mml:mi>E</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2192;</mml:mo>
<mml:mtext>&#x2009;</mml:mtext>
<mml:msub>
<mml:mrow>
<mml:mi>D</mml:mi>
<mml:mi>I</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">7.221&#x2a;&#x2a;&#x2a;</td>
<td align="left">0.003</td>
</tr>
<tr>
<td align="left">
<inline-formula id="inf29">
<mml:math id="m46">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>E</mml:mi>
<mml:mi>D</mml:mi>
<mml:mi>U</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2192;</mml:mo>
<mml:mtext>&#x2009;</mml:mtext>
<mml:msub>
<mml:mrow>
<mml:mi>S</mml:mi>
<mml:mi>E</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">0.759&#x2a;&#x2a;</td>
<td align="left">0.047</td>
</tr>
<tr>
<td align="left">
<inline-formula id="inf30">
<mml:math id="m47">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>S</mml:mi>
<mml:mi>E</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2192;</mml:mo>
<mml:mtext>&#x2009;</mml:mtext>
<mml:msub>
<mml:mrow>
<mml:mi>E</mml:mi>
<mml:mi>D</mml:mi>
<mml:mi>U</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">0.420</td>
<td align="left">0.661</td>
</tr>
<tr>
<td align="left">
<inline-formula id="inf31">
<mml:math id="m48">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>E</mml:mi>
<mml:mi>P</mml:mi>
<mml:mi>S</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2192;</mml:mo>
<mml:mtext>&#x2009;</mml:mtext>
<mml:msub>
<mml:mrow>
<mml:mi>S</mml:mi>
<mml:mi>E</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">0.235</td>
<td align="left">0.792</td>
</tr>
<tr>
<td align="left">
<inline-formula id="inf32">
<mml:math id="m49">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>S</mml:mi>
<mml:mi>E</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2192;</mml:mo>
<mml:mtext>&#x2009;</mml:mtext>
<mml:msub>
<mml:mrow>
<mml:mi>E</mml:mi>
<mml:mi>P</mml:mi>
<mml:mi>S</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">1.424</td>
<td align="left">0.258</td>
</tr>
<tr>
<td align="left">
<inline-formula id="inf33">
<mml:math id="m50">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>E</mml:mi>
<mml:mi>G</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2192;</mml:mo>
<mml:mtext>&#x2009;</mml:mtext>
<mml:msub>
<mml:mrow>
<mml:mi>S</mml:mi>
<mml:mi>E</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">0.883&#x2a;</td>
<td align="left">0.083</td>
</tr>
<tr>
<td align="left">
<inline-formula id="inf34">
<mml:math id="m51">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>S</mml:mi>
<mml:mi>E</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2192;</mml:mo>
<mml:mtext>&#x2009;</mml:mtext>
<mml:msub>
<mml:mrow>
<mml:mi>E</mml:mi>
<mml:mi>G</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">0.287</td>
<td align="left">0.753</td>
</tr>
<tr>
<td align="left">
<inline-formula id="inf35">
<mml:math id="m52">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>U</mml:mi>
<mml:mi>R</mml:mi>
<mml:mi>B</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> &#x2192;<inline-formula id="inf36">
<mml:math id="m53">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>S</mml:mi>
<mml:mi>E</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">1.010&#x2a;</td>
<td align="left">0.065</td>
</tr>
<tr>
<td align="left">
<inline-formula id="inf37">
<mml:math id="m54">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>S</mml:mi>
<mml:mi>E</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> &#x2192; <inline-formula id="inf38">
<mml:math id="m55">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>U</mml:mi>
<mml:mi>R</mml:mi>
<mml:mi>B</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">1.547&#x2a;&#x2a;</td>
<td align="left">0.038</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>Note: The significance level is indicated as &#x2a;&#x2a;&#x2a;&#x3c;1%, &#x2a;&#x2a;&#x3c;5%, and &#x2a;&#x3c;10%.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>EDU exhibits a unidirectional causality towards SE (F &#x3d; 0.759, <inline-formula id="inf39">
<mml:math id="m56">
<mml:mrow>
<mml:mi>p</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>0.047</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula>), suggesting that educational expansion drives environmental outcomes but not <italic>vice versa</italic>. This supports the earlier MMQR and FGLS results, where education was found to degrade the environment at lower quantiles, yet contribute positively when modeled nonlinearly. The absence of causality in the opposite direction (SE &#x2192; EDU, F &#x3d; 0.420, <inline-formula id="inf40">
<mml:math id="m57">
<mml:mrow>
<mml:mi>p</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>0.661</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula>) further reinforces that environmental sustainability does not significantly alter educational structures, implying that any improvements in environmental consciousness through education must be proactively implemented rather than naturally evolving in response to environmental changes.</p>
<p>EPS fails to Granger-cause SE (F &#x3d; 0.235, <inline-formula id="inf41">
<mml:math id="m58">
<mml:mrow>
<mml:mi>p</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>0.792</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula>), nor is it influenced by SE (F &#x3d; 1.424, <inline-formula id="inf42">
<mml:math id="m59">
<mml:mrow>
<mml:mi>p</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>0.258</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula>), suggesting that regulatory frameworks alone do not substantially dictate sustainability outcomes. This finding resonates with MMQR results, where EPS displayed inconsistent significance across quantiles. The lack of causal directionality implies that without robust enforcement and systemic policy integration, environmental regulation on its own does not lead to measurable improvements in sustainability, reinforcing the need for complementary mechanisms such as technological innovations, educational reforms, and urban infrastructural development.</p>
<p>E.G., demonstrates a weak but significant causality towards SE (F &#x3d; 0.883, <inline-formula id="inf43">
<mml:math id="m60">
<mml:mrow>
<mml:mi>p</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>0.083</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula>), supporting the observation that economic expansion plays a role in influencing environmental outcomes, although not strongly. The lack of causality in the reverse direction (SE &#x2192; E.G., F &#x3d; 0.287, <inline-formula id="inf44">
<mml:math id="m61">
<mml:mrow>
<mml:mi>p</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>0.753</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula>) suggests that sustainability conditions do not substantially alter economic growth trajectories, which is consistent with MMQR results indicating mixed effects of, E.G., on SE across quantiles. This highlights that while economic progress can sometimes align with environmental improvements, it is not an inherent driver and proactive policy measures are necessary to balance growth with ecological concerns.</p>
<p>URB presents bidirectional causality with SE, reinforcing the earlier MMQR and FGLS findings that structured urban expansion contributes positively to sustainability. The causality of URB &#x2192; SE (F &#x3d; 1.010, <inline-formula id="inf45">
<mml:math id="m62">
<mml:mrow>
<mml:mi>p</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>0.065</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula>) indicates that increasing urban development fosters environmental improvements, likely through better infrastructure, green urban planning, and technological innovation. Meanwhile, SE &#x2192; URB (F &#x3d; 1.547, <inline-formula id="inf46">
<mml:math id="m63">
<mml:mrow>
<mml:mi>p</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>0.038</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula>) suggests that sustainability conditions also influence urbanization strategies, possibly encouraging environmentally conscious urban policies in regions experiencing ecological strain. This bidirectional relationship underscores the interdependent nature of urbanization and sustainability, highlighting the importance of sustainable urban policies in shaping long-term environmental outcomes.</p>
<p>Overall, these findings reinforce key conclusions from MMQR and FGLS while providing deeper insight into the directional influences among variables. The unidirectional causality from education to sustainability validates the threshold-dependent impact of education found in nonlinear models, while the bidirectional causality between urbanization and sustainability affirms its role as a stabilizing factor in environmental outcomes. The weak causality from economic growth and the insignificance of environmental policy stringency signal that growth-oriented policies alone do not guarantee sustainability improvements, necessitating a broader focus on regulatory enforcement, infrastructure, and technological integration. Additionally, the asymmetric relationship between digital innovation and sustainability highlights the need for green digital transformation strategies, ensuring that technological advancements complement rather than counteract sustainability efforts. These causality findings offer valuable policy implications, emphasizing the need for targeted interventions that prioritize education, urban infrastructure, and technological sustainability while balancing economic growth with environmental considerations.</p>
</sec>
<sec id="s5">
<title>5 Conclusion and recommendations</title>
<p>This study investigates the determinants of environmental sustainability (SE) across BRICS nations from 1990 to 2023, focusing on economic growth (EG), urbanization (URB), education (EDU), digital innovation (DI), and environmental policy stringency (EPS). Using a multi-method econometric approach&#x2014;including Method of Moments Quantile Regression (MMQR), Feasible Generalized Least Squares (FGLS), and Granger causality analysis&#x2014;we examined how these factors influence SE across varying levels of sustainability performance.</p>
<p>The MMQR results reveal that the influence of these variables is not uniform across the distribution of SE outcomes, indicating the presence of substantial heterogeneity among BRICS nations. Urbanization consistently exhibits a positive and statistically significant effect across most quantiles, suggesting that when managed effectively, it can contribute constructively to environmental outcomes. Education shows a more complex relationship: while associated with negative effects at lower quantiles, a U-shaped pattern emerges, indicating potential benefits at higher educational thresholds&#x2014;highlighting the importance of both educational quality and curriculum content. Digital innovation also exhibits a generally negative relationship with SE at lower quantiles, suggesting that its benefits are conditional on policy context and technological maturity. Economic growth and environmental policy stringency yield mixed and weaker results, implying that these variables alone may be insufficient drivers of sustainability in this context.</p>
<p>Granger causality analysis further underscores the directional dynamics among variables. Education is found to Granger-cause SE, reinforcing its role as a key input to sustainability transitions. Urbanization and SE show bidirectional causality, suggesting feedback loops between urban development and environmental conditions. Digital innovation and SE exhibit asymmetric causality&#x2014;where SE influences DI more than the reverse&#x2014;highlighting that environmental priorities may drive technological change, rather than technology inherently producing sustainable outcomes. The weak or insignificant causality between SE and both economic growth and policy stringency supports the interpretation that deeper structural reforms are needed beyond economic expansion or regulation alone.</p>
<p>Taken together, these findings contribute to a more nuanced understanding of sustainability determinants in emerging economies. The patterns identified offer valuable empirical insights into how education, urbanization, digital innovation, and institutional variables interact within the BRICS context. As these insights are shaped by differences in governance structures, development trajectories, and policy environments, their relevance is most applicable to countries with similar socio-economic and institutional conditions. Broader generalizations may require further investigation in additional regional or global contexts.</p>
<sec id="s5-1">
<title>5.1 Policy implications</title>
<p>The results offer several policy-relevant insights, aligned with the United Nations Sustainable Development Goals (SDGs), particularly SDGs 4, 9, 11, and 13. Given the nonlinear impact of education, policy efforts should prioritize not just access but the quality and content of curricula, with an emphasis on environmental literacy and sustainability competencies. Investments in environmental education and green academic research are essential for embedding sustainability into long-term human capital development.</p>
<p>Urbanization&#x2019;s consistent association with improved SE outcomes underscores the need for sustainable urban planning. Policymakers should invest in green infrastructure, enforce land-use regulation, and promote smart cities powered by clean energy. These actions can optimize the environmental potential of urban expansion while mitigating ecological risks.</p>
<p>Digital innovation presents both opportunities and risks. Policies must address energy demands&#x2014;particularly from AI systems and data centers&#x2014;by mandating efficiency standards and supporting the development of green technologies. Incentives for e-waste management and digital sustainability frameworks are critical, especially in countries at lower sustainability levels.</p>
<p>The limited impact of economic growth and policy stringency suggests that traditional levers may be insufficient. A shift toward green economic models that integrate equity, innovation, and environmental resilience is needed. Tax incentives, circular economy policies, and green procurement can help decouple growth from environmental harm.</p>
<p>Finally, the directional relationships observed suggest that sequencing and integration of policy domains are essential. For example, urban planning should be co-developed with environmental strategy, and digital transformation must include sustainability-by-design principles. Education policy reform is also key to achieving the threshold effects needed to realize sustainability benefits.</p>
</sec>
<sec id="s5-2">
<title>5.2 Study limitations and future directions</title>
<p>While the study offers meaningful insights, several limitations merit acknowledgment. The variable selection focused primarily on five drivers, excluding others such as renewable energy, institutional quality, and social equity indicators. Future research should incorporate broader determinants&#x2014;including green finance, governance metrics, and resilience frameworks&#x2014;to offer a more holistic perspective.</p>
<p>The proxy indicators used may not fully capture the depth of each construct. For example, enrollment-based measures of education do not reflect environmental content or learning outcomes, while broadband subscriptions may overlook the ecological efficiency of digital infrastructure. Future studies should employ more granular, content-sensitive indicators such as sustainability education indices or green technology adoption rates.</p>
<p>The use of GDP <italic>per capita</italic> as a proxy for economic growth presents limitations in addressing income inequality and access disparities. More inclusive indices like the Human Development Index or Gini-adjusted measures could enhance the socioeconomic realism of sustainability models.</p>
<p>Geographically, the analysis is confined to the five BRICS nations. Expanding the scope to include BRICS-Plus countries or comparable emerging economies would improve external validity and reveal diverse policy dynamics across regions.</p>
<p>Finally, while MMQR, FGLS, and Granger causality offer methodological depth, future studies could benefit from advanced econometric tools such as instrumental variables, spatial models, or machine learning for greater robustness and predictive accuracy.</p>
<p>In sum, this study highlights the complex and context-specific nature of sustainability transitions in emerging economies. It presents policy-relevant insights that contribute to a deeper understanding of how structural, technological, and educational factors shape environmental outcomes. These findings lay the groundwork for future research aimed at developing more integrated and adaptive sustainability models.</p>
</sec>
</sec>
</body>
<back>
<sec sec-type="data-availability" id="s6">
<title>Data availability statement</title>
<p>Publicly available datasets were analyzed in this study. This data can be found here: <ext-link ext-link-type="uri" xlink:href="https://data.worldbank.org/country">https://data.worldbank.org/country</ext-link>.</p>
</sec>
<sec sec-type="author-contributions" id="s7">
<title>Author contributions</title>
<p>XZ: Data curation, Methodology, Supervision, Formal Analysis, Validation, Investigation, Funding acquisition, Resources, Writing &#x2013; original draft, Writing &#x2013; review and editing. LX: Conceptualization, Validation, Project administration, Supervision, Data curation, Writing &#x2013; review and editing, Methodology, Investigation, Writing &#x2013; original draft, Funding acquisition, Resources, Software, Formal Analysis.</p>
</sec>
<sec sec-type="funding-information" id="s8">
<title>Funding</title>
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<ref-list>
<title>References</title>
<ref id="B1">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Adebayo</surname>
<given-names>T. S.</given-names>
</name>
<name>
<surname>Onifade</surname>
<given-names>S. T.</given-names>
</name>
<name>
<surname>Alola</surname>
<given-names>A. A.</given-names>
</name>
<name>
<surname>Muoneke</surname>
<given-names>O. B.</given-names>
</name>
</person-group> (<year>2022</year>). <article-title>Does it take international integration of natural resources to ascend the ladder of environmental quality in the newly industrialized countries?</article-title> <source>Resour. Policy</source> <volume>76</volume>, <fpage>102616</fpage>. <pub-id pub-id-type="doi">10.1016/J.RESOURPOL.2022.102616</pub-id>
</citation>
</ref>
<ref id="B2">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Akrofi</surname>
<given-names>M. M.</given-names>
</name>
<name>
<surname>Okitasari</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Kandpal</surname>
<given-names>R.</given-names>
</name>
</person-group> (<year>2022</year>). <article-title>Recent trends on the linkages between energy, SDGs and the Paris Agreement: a review of policy-based studies</article-title>. <source>Discov. Sustain</source> <volume>3</volume>, <fpage>32</fpage>. <pub-id pub-id-type="doi">10.1007/S43621-022-00100-Y</pub-id>
</citation>
</ref>
<ref id="B4">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Alsanie</surname>
<given-names>G.</given-names>
</name>
</person-group> (<year>2025</year>). <article-title>Investigating the impact of digitalization on resource use, energy use, and waste reduction towards sustainability: considering environmental awareness as a moderator</article-title>. <source>Sustain</source> <volume>17</volume>, <fpage>4073</fpage>&#x2013;<lpage>17</lpage>. <pub-id pub-id-type="doi">10.3390/SU17094073</pub-id>
</citation>
</ref>
<ref id="B5">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Avom</surname>
<given-names>D.</given-names>
</name>
<name>
<surname>Nkengfack</surname>
<given-names>H.</given-names>
</name>
<name>
<surname>Fotio</surname>
<given-names>H.</given-names>
</name>
<name>
<surname>Totouom</surname>
<given-names>A.</given-names>
</name>
</person-group> (<year>2020</year>). <article-title>ICT and environmental quality in Sub-Saharan Africa: effects and transmission channels</article-title>. <source>A TotouomTechnological forecast. Soc. Chang. 2020&#x22C5;Elsevier</source> <volume>155</volume>, <fpage>120028</fpage>. <pub-id pub-id-type="doi">10.1016/j.techfore.2020.120028</pub-id>
</citation>
</ref>
<ref id="B6">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Baloch</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Wang</surname>
<given-names>B.</given-names>
</name>
</person-group> (<year>2019</year>). <article-title>Analyzing the role of governance in CO2 emissions mitigation: the BRICS experience</article-title>. <source>Struct. Chang. Econ. Dyn.</source> <volume>51</volume>, <fpage>119</fpage>&#x2013;<lpage>125</lpage>. <pub-id pub-id-type="doi">10.1016/j.strueco.2019.08.007</pub-id>
</citation>
</ref>
<ref id="B7">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Becker</surname>
<given-names>G.</given-names>
</name>
</person-group> (<year>2009</year>). <article-title>Human capital: a theoretical and empirical analysis, with special reference to education</article-title>.</citation>
</ref>
<ref id="B8">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Berthelot</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Caron</surname>
<given-names>E.</given-names>
</name>
<name>
<surname>Jay</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Lef&#xe8;vre</surname>
<given-names>L.</given-names>
</name>
</person-group> (<year>2024</year>). <article-title>Estimating the environmental impact of Generative-AI services using an LCA-based methodology</article-title>. <source>Procedia CIRP</source> <volume>122</volume>, <fpage>707</fpage>&#x2013;<lpage>712</lpage>. <pub-id pub-id-type="doi">10.1016/J.PROCIR.2024.01.098</pub-id>
</citation>
</ref>
<ref id="B9">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Bibri</surname>
<given-names>S. E.</given-names>
</name>
<name>
<surname>Krogstie</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>K&#xe4;rrholm</surname>
<given-names>M.</given-names>
</name>
</person-group> (<year>2020</year>). <article-title>Compact city planning and development: emerging practices and strategies for achieving the goals of sustainability</article-title>. <source>Dev. Built Environ.</source> <volume>4</volume>, <fpage>100021</fpage>. <pub-id pub-id-type="doi">10.1016/J.DIBE.2020.100021</pub-id>
</citation>
</ref>
<ref id="B10">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Boujedra</surname>
<given-names>F.</given-names>
</name>
<name>
<surname>Jebli</surname>
<given-names>M. B.</given-names>
</name>
</person-group> (<year>2025</year>). <article-title>Unraveling the interaction effect between the educated labor force and patent applications on environmental quality in OECD countries: investigation of N-shaped EKC hypothesis</article-title>. <source>Clim. Change</source> <volume>178</volume>, <fpage>4</fpage>&#x2013;<lpage>25</lpage>. <pub-id pub-id-type="doi">10.1007/s10584-024-03841-z</pub-id>
</citation>
</ref>
<ref id="B11">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Buhari</surname>
<given-names>D. O. &#x11e;. A. N.</given-names>
</name>
<name>
<surname>Lorente</surname>
<given-names>D. B.</given-names>
</name>
<name>
<surname>Ali Nasir</surname>
<given-names>M.</given-names>
</name>
</person-group> (<year>2020</year>). <article-title>European commitment to COP21 and the role of energy consumption, FDI, trade and economic complexity in sustaining economic growth</article-title>. <source>J. Environ. Manage.</source> <volume>273</volume>, <fpage>111146</fpage>. <pub-id pub-id-type="doi">10.1016/J.JENVMAN.2020.111146</pub-id>
</citation>
</ref>
<ref id="B12">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Caglar</surname>
<given-names>A. E.</given-names>
</name>
<name>
<surname>Avci</surname>
<given-names>S. B.</given-names>
</name>
<name>
<surname>Da&#x15f;tan</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Destek</surname>
<given-names>M. A.</given-names>
</name>
</person-group> (<year>2024</year>). <article-title>Investigation of the effect of natural resource dependence on environmental sustainability under the novel load capacity curve hypothesis</article-title>. <source>Int. J. Sustain. Dev. World Ecol.</source> <volume>31</volume>, <fpage>431</fpage>&#x2013;<lpage>446</lpage>. <pub-id pub-id-type="doi">10.1080/13504509.2023.2296495</pub-id>
</citation>
</ref>
<ref id="B13">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Caglar</surname>
<given-names>A. E.</given-names>
</name>
<name>
<surname>Da&#x15f;tan</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Mehmood</surname>
<given-names>U.</given-names>
</name>
<name>
<surname>Avci</surname>
<given-names>S. B.</given-names>
</name>
</person-group> (<year>2023</year>). <article-title>Assessing the connection between competitive industrial performance on load capacity factor within the LCC framework: implications for sustainable policy in BRICS economies</article-title>. <source>Environ. Sci. Pollut. Res.</source> <volume>31</volume>, <fpage>67197</fpage>&#x2013;<lpage>67214</lpage>. <pub-id pub-id-type="doi">10.1007/s11356-023-29178-1</pub-id>
</citation>
</ref>
<ref id="B14">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Cai</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>Wang</surname>
<given-names>X.</given-names>
</name>
<name>
<surname>Cheng Vong</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Zhao</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Zhang</surname>
<given-names>T.</given-names>
</name>
</person-group> (<year>2024</year>). <article-title>Low-carbon urban development hot topics and frontier evolution: a bibliometric study from a global perspective</article-title>. <source>Front. Built Environ.</source> <volume>10</volume>, <fpage>1464529</fpage>. <pub-id pub-id-type="doi">10.3389/fbuil.2024.1464529</pub-id>
</citation>
</ref>
<ref id="B15">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Chen</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Shahbaz</surname>
<given-names>P.</given-names>
</name>
<name>
<surname>Haq</surname>
<given-names>S. ul</given-names>
</name>
</person-group> (<year>2024</year>). <article-title>Transforming students&#x2019; green behavior through environmental education: the impact of institutional practices and policies</article-title>. <source>Front. Psychol.</source> <volume>15</volume>, <fpage>1499781</fpage>. <pub-id pub-id-type="doi">10.3389/fpsyg.2024.1499781</pub-id>
</citation>
</ref>
<ref id="B16">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Chen</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Fan</surname>
<given-names>X.</given-names>
</name>
<name>
<surname>Zhou</surname>
<given-names>Q.</given-names>
</name>
</person-group> (<year>2020</year>). <article-title>An inverted-U impact of environmental regulations on carbon emissions in China&#x2019;s iron and steel industry: mechanisms of synergy and innovation effects</article-title>. <source>Sustainability</source> <volume>12</volume>, <fpage>1038</fpage>. <pub-id pub-id-type="doi">10.3390/su12031038</pub-id>
</citation>
</ref>
<ref id="B17">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Cordero</surname>
<given-names>E. C.</given-names>
</name>
<name>
<surname>Centeno</surname>
<given-names>D.</given-names>
</name>
<name>
<surname>Todd</surname>
<given-names>A. M.</given-names>
</name>
</person-group> (<year>2020</year>). <article-title>The role of climate change education on individual lifetime carbon emissions</article-title>. <source>PLoS One</source> <volume>15</volume>, <fpage>e0206266</fpage>. <pub-id pub-id-type="doi">10.1371/JOURNAL.PONE.0206266</pub-id>
</citation>
</ref>
<ref id="B18">
<citation citation-type="journal">
<collab>Danish</collab> (<year>2019</year>). <article-title>Effects of information and communication technology and real income on CO2 emissions: the experience of countries along Belt and Road</article-title>. <source>Telemat. Inf.</source> <volume>45</volume>, <fpage>101300</fpage>. <pub-id pub-id-type="doi">10.1016/j.tele.2019.101300</pub-id>
</citation>
</ref>
<ref id="B19">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Dilanchiev</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Taktakishvili</surname>
<given-names>T.</given-names>
</name>
</person-group> (<year>2021</year>). <article-title>Macroeconomic determinants of household consumptions in Georgia</article-title>. <source>World Sci. Dilanchiev, T Tak. Financ. Econ. 2021&#x22C5;World Sci.</source> <volume>16</volume>. <pub-id pub-id-type="doi">10.1142/S2010495221500202</pub-id>
</citation>
</ref>
<ref id="B20">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Dinc&#x103;</surname>
<given-names>G.</given-names>
</name>
<name>
<surname>B&#x103;rbu&#x21b;&#x103;</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Negri</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Dinc&#x103;</surname>
<given-names>D.</given-names>
</name>
<name>
<surname>Model</surname>
<given-names>L. S.</given-names>
</name>
</person-group> (<year>2022</year>). <article-title>The impact of governance quality and educational level on environmental performance</article-title>. <source>Front. Environ. Sci.</source> <volume>10</volume>. <pub-id pub-id-type="doi">10.3389/fenvs.2022.950683</pub-id>
</citation>
</ref>
<ref id="B21">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Dong</surname>
<given-names>X.</given-names>
</name>
<name>
<surname>Yu</surname>
<given-names>M.</given-names>
</name>
</person-group> (<year>2024</year>). <article-title>Green bond issuance and green innovation: evidence from China&#x2019;s energy industry</article-title>. <source>Int. Rev. Financ. Anal.</source> <volume>94</volume>, <fpage>103281</fpage>. <pub-id pub-id-type="doi">10.1016/J.IRFA.2024.103281</pub-id>
</citation>
</ref>
<ref id="B22">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Dumitrescu</surname>
<given-names>E. I.</given-names>
</name>
<name>
<surname>Hurlin</surname>
<given-names>C.</given-names>
</name>
</person-group> (<year>2012</year>). <article-title>Testing for Granger non-causality in heterogeneous panels</article-title>. <source>Econ. Model.</source> <volume>29</volume>, <fpage>1450</fpage>&#x2013;<lpage>1460</lpage>. <pub-id pub-id-type="doi">10.1016/J.ECONMOD.2012.02.014</pub-id>
</citation>
</ref>
<ref id="B23">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Efayena</surname>
<given-names>O. O.</given-names>
</name>
<name>
<surname>Olele</surname>
<given-names>E. H.</given-names>
</name>
</person-group> (<year>2024</year>). <article-title>Moderating the effect of institutional quality on the fiscal policy and economic growth nexus: what evidence exists in sub-saharan Africa?</article-title> <source>J. Knowl. Econ.</source> <volume>15</volume>, <fpage>20436</fpage>&#x2013;<lpage>20458</lpage>. <pub-id pub-id-type="doi">10.1007/s13132-024-01978-x</pub-id>
</citation>
</ref>
<ref id="B24">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Esmaeil</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Rjoub</surname>
<given-names>H.</given-names>
</name>
<name>
<surname>Wong</surname>
<given-names>W.</given-names>
</name>
</person-group> (<year>2020</year>). <article-title>Do oil price shocks and other factors create bigger impacts on islamic banks than conventional banks? mdpi</article-title>. <source>2020&#x22C5;mdpi.Com.</source> <volume>13</volume>, <fpage>3106</fpage>. <pub-id pub-id-type="doi">10.3390/en13123106</pub-id>
</citation>
</ref>
<ref id="B25">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Eyuboglu</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Uzar</surname>
<given-names>U.</given-names>
</name>
<name>
<surname>Alola</surname>
<given-names>A. A.</given-names>
</name>
</person-group> (<year>2024</year>). <article-title>New emerging market economies and the roles of energy use, financial development and socioeconomic aspects</article-title>. <source>J. Soc. Econ. Dev</source>. <pub-id pub-id-type="doi">10.1007/S40847-024-00385-X</pub-id>
</citation>
</ref>
<ref id="B26">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Faisal</surname>
<given-names>F.</given-names>
</name>
<name>
<surname>Tursoy</surname>
<given-names>T.</given-names>
</name>
<name>
<surname>Pervaiz</surname>
<given-names>R.</given-names>
</name>
</person-group> (<year>2020</year>). <article-title>Does ICT lessen CO2 emissions for fast-emerging economies? An application of the heterogeneous panel estimations</article-title>. <source>Environ. Sci. Pollut. Res.</source> <volume>27</volume>, <fpage>10778</fpage>&#x2013;<lpage>10789</lpage>. <pub-id pub-id-type="doi">10.1007/S11356-019-07582-W</pub-id>
</citation>
</ref>
<ref id="B27">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Fang</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Zhu</surname>
<given-names>J.</given-names>
</name>
</person-group> (<year>2023</year>). <article-title>The impact of open banking on traditional lending in the BRICS</article-title>. <source>J. ZhuFinance Res. Lett. 2023&#x22C5;Elsevier</source> <volume>58</volume>, <fpage>104300</fpage>. <pub-id pub-id-type="doi">10.1016/j.frl.2023.104300</pub-id>
</citation>
</ref>
<ref id="B28">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Farooq</surname>
<given-names>U.</given-names>
</name>
<name>
<surname>Ashfaq</surname>
<given-names>K.</given-names>
</name>
<name>
<surname>Rustamovna</surname>
<given-names>R. D.</given-names>
</name>
<name>
<surname>Al-Naimi</surname>
<given-names>A. A.</given-names>
</name>
</person-group> (<year>2023</year>). <article-title>Impact of air pollution on corporate investment: new empirical evidence from BRICS</article-title>. <source>Borsa Istanb. Rev.</source> <volume>23</volume>, <fpage>876</fpage>&#x2013;<lpage>886</lpage>. <pub-id pub-id-type="doi">10.1016/J.BIR.2023.03.004</pub-id>
</citation>
</ref>
<ref id="B29">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Gao</surname>
<given-names>X.</given-names>
</name>
<name>
<surname>Fan</surname>
<given-names>M.</given-names>
</name>
</person-group> (<year>2023</year>). <article-title>The role of quality institutions and technological innovations in environmental sustainability: panel data analysis of BRI countries</article-title>. <source>PLoS One</source> <volume>18</volume>, <fpage>e0287543</fpage>. <pub-id pub-id-type="doi">10.1371/JOURNAL.PONE.0287543</pub-id>
</citation>
</ref>
<ref id="B30">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Gayen</surname>
<given-names>D.</given-names>
</name>
<name>
<surname>Chatterjee</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>Roy</surname>
<given-names>S.</given-names>
</name>
</person-group> (<year>2024</year>). <article-title>A review on environmental impacts of renewable energy for sustainable development</article-title>. <source>Int. J. Environ. Sci. Technol.</source> <volume>21</volume>, <fpage>5285</fpage>&#x2013;<lpage>5310</lpage>. <pub-id pub-id-type="doi">10.1007/s13762-023-05380-z</pub-id>
</citation>
</ref>
<ref id="B31">
<citation citation-type="web">
<collab>GFN</collab> (<year>2025</year>). <article-title>Global footprint network</article-title>. <comment>Available online at: <ext-link ext-link-type="uri" xlink:href="http://data.footprintnetwork.org">http://data.footprintnetwork.org</ext-link>.</comment>
</citation>
</ref>
<ref id="B32">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Gillingham</surname>
<given-names>K.</given-names>
</name>
<name>
<surname>Rapson</surname>
<given-names>D.</given-names>
</name>
<name>
<surname>Wagner</surname>
<given-names>G.</given-names>
</name>
</person-group> (<year>2016</year>). <article-title>The rebound effect and energy efficiency policy</article-title>. <source>Rev. Environ. Econ. Policy</source> <volume>10</volume>, <fpage>68</fpage>&#x2013;<lpage>88</lpage>. <pub-id pub-id-type="doi">10.1093/REEP/REV017</pub-id>
</citation>
</ref>
<ref id="B33">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Gkargkavouzi</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Paraskevopoulos</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Matsiori</surname>
<given-names>S.</given-names>
</name>
</person-group> (<year>2018</year>). <article-title>Who cares about the environment? Taylor Fr. Gkargkavouzi, S paraskevopoulos, S MatsioriJournal hum</article-title>. <source>Behav. Soc. Environ. 2018&#x22C5;Taylor Fr.</source> <volume>28</volume>, <fpage>746</fpage>&#x2013;<lpage>757</lpage>. <pub-id pub-id-type="doi">10.1080/10911359.2018.1458679</pub-id>
</citation>
</ref>
<ref id="B34">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Godil</surname>
<given-names>D. I.</given-names>
</name>
<name>
<surname>Sharif</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Agha</surname>
<given-names>H.</given-names>
</name>
<name>
<surname>Jermsittiparsert</surname>
<given-names>K.</given-names>
</name>
</person-group> (<year>2020</year>). <article-title>The dynamic nonlinear influence of ICT, financial development, and institutional quality on CO2 emission in Pakistan: new insights from QARDL approach</article-title>. <source>Environ. Sci. Pollut. Res.</source> <volume>27</volume>, <fpage>24190</fpage>&#x2013;<lpage>24200</lpage>. <pub-id pub-id-type="doi">10.1007/S11356-020-08619-1</pub-id>
</citation>
</ref>
<ref id="B35">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Goel</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Masurkar</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Pathade</surname>
<given-names>G. R.</given-names>
</name>
</person-group> (<year>2024</year>). <article-title>An overview of digital transformation and environmental sustainability: threats, opportunities, and solutions</article-title>. <source>Sustain</source> <volume>16</volume>, <fpage>11079</fpage>. <pub-id pub-id-type="doi">10.3390/SU162411079</pub-id>
</citation>
</ref>
<ref id="B36">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Grossman</surname>
<given-names>G. M.</given-names>
</name>
<name>
<surname>Krueger</surname>
<given-names>A. B.</given-names>
</name>
</person-group> (<year>1995</year>). <article-title>Economic growth and the environment</article-title>. <source>Q. J. Econ.</source> <volume>110</volume>, <fpage>353</fpage>&#x2013;<lpage>377</lpage>. <pub-id pub-id-type="doi">10.2307/2118443</pub-id>
</citation>
</ref>
<ref id="B37">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Haseeb</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Xia</surname>
<given-names>E.</given-names>
</name>
<name>
<surname>Saud</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Usman</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Quddoos</surname>
<given-names>M. U.</given-names>
</name>
</person-group> (<year>2023</year>). <article-title>Unveiling the liaison between human capital, trade openness, and environmental sustainability for BRICS economies: robust panel-data estimation</article-title>. <source>Nat. Resour. Forum</source> <volume>47</volume>, <fpage>229</fpage>&#x2013;<lpage>256</lpage>. <pub-id pub-id-type="doi">10.1111/1477-8947.12277</pub-id>
</citation>
</ref>
<ref id="B38">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Hashem Pesaran</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Yamagata</surname>
<given-names>T.</given-names>
</name>
</person-group> (<year>2008</year>). <article-title>Testing slope homogeneity in large panels</article-title>. <source>J. Econom.</source> <volume>142</volume>, <fpage>50</fpage>&#x2013;<lpage>93</lpage>. <pub-id pub-id-type="doi">10.1016/j.jeconom.2007.05.010</pub-id>
</citation>
</ref>
<ref id="B39">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Hu</surname>
<given-names>F.</given-names>
</name>
<name>
<surname>Qiu</surname>
<given-names>L.</given-names>
</name>
<name>
<surname>Wei</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Zhou</surname>
<given-names>H.</given-names>
</name>
<name>
<surname>Bathuure</surname>
<given-names>I. A.</given-names>
</name>
<name>
<surname>Hu</surname>
<given-names>H.</given-names>
</name>
</person-group> (<year>2024</year>). <article-title>The spatiotemporal evolution of global innovation networks and the changing position of China: a social network analysis based on cooperative patents</article-title>. <source>R. D. Manag.</source> <volume>54</volume>, <fpage>574</fpage>&#x2013;<lpage>589</lpage>. <pub-id pub-id-type="doi">10.1111/RADM.12662</pub-id>
</citation>
</ref>
<ref id="B40">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Hu</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Xu</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Tong</surname>
<given-names>L.</given-names>
</name>
<name>
<surname>Razi</surname>
<given-names>U.</given-names>
</name>
</person-group> (<year>2022</year>). <article-title>The dynamic role of film and drama industry, green innovation towards the sustainable environment in China: fresh insight from NARDL approach</article-title>. <source>Econ. Res. Istra&#x17e;ivanja</source> <volume>35</volume>, <fpage>5292</fpage>&#x2013;<lpage>5309</lpage>. <pub-id pub-id-type="doi">10.1080/1331677X.2022.2026239</pub-id>
</citation>
</ref>
<ref id="B41">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Im</surname>
<given-names>K.</given-names>
</name>
<name>
<surname>Pesaran</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Shin</surname>
<given-names>Y.</given-names>
</name>
</person-group> (<year>2003</year>). <article-title>Testing for unit roots in heterogeneous panels</article-title>. <source>J. Econom.</source> <volume>115</volume>, <fpage>53</fpage>&#x2013;<lpage>74</lpage>. <pub-id pub-id-type="doi">10.1016/S0304-4076(03)00092-7</pub-id>
</citation>
</ref>
<ref id="B42">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>James</surname>
<given-names>N.</given-names>
</name>
</person-group> (<year>2024</year>). <article-title>Urbanization and its impact on environmental sustainability</article-title>. <source>J. Appl. Geogr. Stud.</source> <volume>3</volume>, <fpage>54</fpage>&#x2013;<lpage>66</lpage>. <pub-id pub-id-type="doi">10.47941/JAGS.1624</pub-id>
</citation>
</ref>
<ref id="B43">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Jiang</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Cai</surname>
<given-names>D.</given-names>
</name>
<name>
<surname>Yang</surname>
<given-names>Q.</given-names>
</name>
<name>
<surname>Huang</surname>
<given-names>M.</given-names>
</name>
</person-group> (<year>2025</year>). <article-title>Scientometric insights into urban sustainability: exploring the vulnerability-adaptation-settlements nexus for climate resilience</article-title>. <source>Front. Environ. Sci.</source> <volume>13</volume>, <fpage>1596271</fpage>. <pub-id pub-id-type="doi">10.3389/FENVS.2025.1596271</pub-id>
</citation>
</ref>
<ref id="B44">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Jie</surname>
<given-names>L.</given-names>
</name>
<name>
<surname>Cifuentes-Faura</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Zhao</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Hafeez</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Salha</surname>
<given-names>O. B.</given-names>
</name>
</person-group> (<year>2024</year>). <article-title>Environmental innovation and human capital: an environmental regulation choice for a carbon-neutral economy</article-title>. <source>Air Qual. Atmos. heal.</source> <volume>18</volume>, <fpage>263</fpage>&#x2013;<lpage>271</lpage>. <pub-id pub-id-type="doi">10.1007/S11869-024-01638-8</pub-id>
</citation>
</ref>
<ref id="B45">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Kalayc&#x131; Alas</surname>
<given-names>D.</given-names>
</name>
<name>
<surname>Korut&#xfc;rk</surname>
<given-names>K.</given-names>
</name>
</person-group> (<year>2024</year>). <article-title>Exploring the impact of values education on sustainable environmental awareness and behavior among eighth-grade students</article-title>. <source>Sustain</source> <volume>16</volume>, <fpage>9302</fpage>. <pub-id pub-id-type="doi">10.3390/SU16219302</pub-id>
</citation>
</ref>
<ref id="B46">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Kongbuamai</surname>
<given-names>N.</given-names>
</name>
<name>
<surname>Bui</surname>
<given-names>Q.</given-names>
</name>
<name>
<surname>Yousaf</surname>
<given-names>H. M. A. U.</given-names>
</name>
<name>
<surname>Liu</surname>
<given-names>Y.</given-names>
</name>
</person-group> (<year>2020</year>). <article-title>The impact of tourism and natural resources on the ecological footprint: a case study of ASEAN countries</article-title>. <source>Environ. Sci. Pollut. Res.</source> <volume>27</volume>, <fpage>19251</fpage>&#x2013;<lpage>19264</lpage>. <pub-id pub-id-type="doi">10.1007/S11356-020-08582-X</pub-id>
</citation>
</ref>
<ref id="B47">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>K&#x159;epelkov&#xe1;</surname>
<given-names>&#x160;. D.</given-names>
</name>
<name>
<surname>Krajhanzl</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Kroufek</surname>
<given-names>R.</given-names>
</name>
</person-group> (<year>2020</year>). <article-title>The influence of interaction with nature in childhood on future pro-environmental behavior</article-title>. <source>ceeol.com&#x160;D K&#x159;epelkov&#xe1;, J. Kraj. R. KroufekJournal Balt. Sci. Educ. 2020&#x22C5;ceeol.com</source> <volume>19</volume>, <fpage>536</fpage>&#x2013;<lpage>550</lpage>. <pub-id pub-id-type="doi">10.33225/JBSE/20.19.536</pub-id>
</citation>
</ref>
<ref id="B48">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Larson</surname>
<given-names>L. R.</given-names>
</name>
<name>
<surname>Stedman</surname>
<given-names>R. C.</given-names>
</name>
<name>
<surname>Cooper</surname>
<given-names>C. B.</given-names>
</name>
<name>
<surname>Decker</surname>
<given-names>D. J.</given-names>
</name>
</person-group> (<year>2015</year>). <article-title>Understanding the multi-dimensional structure of pro-environmental behavior</article-title>. <source>DJ DeckerJournal Environ. Psychol. 2015&#x22C5;Elsevier</source> <volume>43</volume>, <fpage>112</fpage>&#x2013;<lpage>124</lpage>. <pub-id pub-id-type="doi">10.1016/J.JENVP.2015.06.004</pub-id>
</citation>
</ref>
<ref id="B49">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Li</surname>
<given-names>B.</given-names>
</name>
<name>
<surname>Li</surname>
<given-names>G.</given-names>
</name>
<name>
<surname>Luo</surname>
<given-names>J.</given-names>
</name>
</person-group> (<year>2021</year>). <article-title>Latent but not absent: the &#x2018;long tail&#x2019; nature of rural special education and its dynamic correction mechanism</article-title>. <source>J. LuoPLoS One, 2021&#x22C5;journals.plos.org</source> <volume>16</volume>, <fpage>e0242023</fpage>. <pub-id pub-id-type="doi">10.1371/journal.pone.0242023</pub-id>
</citation>
</ref>
<ref id="B50">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Li</surname>
<given-names>D.</given-names>
</name>
<name>
<surname>Jianxing</surname>
<given-names>W.</given-names>
</name>
</person-group> (<year>2024</year>). <article-title>The effect of gamified learning monitoring systems on students&#x2019; learning behavior and achievement: an empirical study</article-title>. <source>ElsevierD Li, W JianxingEntertainment Comput. 2024&#x22C5;Elsevier</source> <volume>52</volume>, <fpage>100907</fpage>. <pub-id pub-id-type="doi">10.1016/J.ENTCOM.2024.100907</pub-id>
</citation>
</ref>
<ref id="B51">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Li</surname>
<given-names>D.</given-names>
</name>
<name>
<surname>Ortegas</surname>
<given-names>K. D.</given-names>
</name>
<name>
<surname>White</surname>
<given-names>M.</given-names>
</name>
</person-group> (<year>2023</year>). <article-title>Exploring the computational effects of advanced deep neural networks on logical and activity learning for enhanced thinking skills</article-title>. <source>mdpi.comD Li, KD Ortegas, M. WhiteSystems</source> <volume>11</volume>, <fpage>319</fpage>. <pub-id pub-id-type="doi">10.3390/SYSTEMS11070319</pub-id>
</citation>
</ref>
<ref id="B52">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Li</surname>
<given-names>D.</given-names>
</name>
<name>
<surname>Tang</surname>
<given-names>N.</given-names>
</name>
<name>
<surname>Chandler</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Nanni</surname>
<given-names>E.</given-names>
</name>
</person-group> (<year>2025</year>). <article-title>An optimal approach for predicting cognitive performance in education based on deep learning</article-title>. <source>E NanniComputers Hum. Behav. 2025&#x22C5;Elsevier</source> <volume>167</volume>, <fpage>108607</fpage>. <pub-id pub-id-type="doi">10.1016/J.CHB.2025.108607</pub-id>
</citation>
</ref>
<ref id="B53">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Li</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Du</surname>
<given-names>W.</given-names>
</name>
<name>
<surname>Tang</surname>
<given-names>S.</given-names>
</name>
</person-group> (<year>2021a</year>). <article-title>Assessing the impact of environmental regulation and environmental co-governance on pollution transfer: micro-evidence from China</article-title>. <source>Environ. Impact Assess. Rev.</source> <volume>86</volume>, <fpage>106467</fpage>. <pub-id pub-id-type="doi">10.1016/j.eiar.2020.106467</pub-id>
</citation>
</ref>
<ref id="B54">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Li</surname>
<given-names>X.</given-names>
</name>
<name>
<surname>Li</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Jia</surname>
<given-names>T.</given-names>
</name>
<name>
<surname>Zhou</surname>
<given-names>L.</given-names>
</name>
<name>
<surname>Hijazi</surname>
<given-names>I.</given-names>
</name>
</person-group> (<year>2022</year>). <article-title>The six dimensions of built environment on urban vitality: fusion evidence from multi-source data</article-title>. <source>Cities</source> <volume>121</volume>, <fpage>103482</fpage>. <pub-id pub-id-type="doi">10.1016/j.cities.2021.103482</pub-id>
</citation>
</ref>
<ref id="B55">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Li</surname>
<given-names>X.</given-names>
</name>
<name>
<surname>Younas</surname>
<given-names>M. Z.</given-names>
</name>
<name>
<surname>Andlib</surname>
<given-names>Z.</given-names>
</name>
<name>
<surname>Ullah</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Sohail</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Hafeez</surname>
<given-names>M.</given-names>
</name>
</person-group> (<year>2021b</year>). <article-title>Examining the asymmetric effects of Pakistan&#x2019;s fiscal decentralization on economic growth and environmental quality</article-title>. <source>Environ. Sci. Pollut. Res.</source> <volume>28</volume>, <fpage>5666</fpage>&#x2013;<lpage>5681</lpage>. <pub-id pub-id-type="doi">10.1007/S11356-020-10876-Z</pub-id>
</citation>
</ref>
<ref id="B56">
<citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname>Lisha</surname>
<given-names>L.</given-names>
</name>
<name>
<surname>Mousa</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Arnone</surname>
<given-names>G.</given-names>
</name>
<name>
<surname>Muda</surname>
<given-names>I.</given-names>
</name>
<name>
<surname>Huerta-Soto</surname>
<given-names>R.</given-names>
</name>
</person-group> (<year>2023</year>). <source>Natural resources, green innovation, fintech, and sustainability: a fresh insight from BRICS</source>. <publisher-name>United States: Z ShimingResources Policy</publisher-name>.</citation>
</ref>
<ref id="B57">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Luo</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Wang</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Li</surname>
<given-names>G.</given-names>
</name>
</person-group> (<year>2023</year>). <article-title>The innovation effect of administrative hierarchy on intercity connection: the machine learning of twin cities</article-title>. <source>ElsevierJ Luo, Y Wang, G. LiJournal Innov. Knowl. 2023&#x22C5;Elsevier</source> <volume>8</volume>, <fpage>100293</fpage>. <pub-id pub-id-type="doi">10.1016/J.JIK.2022.100293</pub-id>
</citation>
</ref>
<ref id="B58">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Luo</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Yuan</surname>
<given-names>H.</given-names>
</name>
<name>
<surname>Wang</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Bond</surname>
<given-names>M. H.</given-names>
</name>
</person-group> (<year>2024</year>). <article-title>Culturomics: taking the cross-scale, interdisciplinary science of culture into the next decade</article-title>. <source>Neurosci. Biobehav. Rev.</source> <volume>167</volume>, <fpage>105942</fpage>. <pub-id pub-id-type="doi">10.1016/J.NEUBIOREV.2024.105942</pub-id>
</citation>
</ref>
<ref id="B59">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Ma</surname>
<given-names>Q.</given-names>
</name>
<name>
<surname>Zhang</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Hu</surname>
<given-names>F.</given-names>
</name>
<name>
<surname>Zhou</surname>
<given-names>H.</given-names>
</name>
<name>
<surname>Hu</surname>
<given-names>H.</given-names>
</name>
</person-group> (<year>2025</year>). <article-title>Nip it in the bud: the impact of China&#x2019;s large-scale free physical examination program on health care expenditures for elderly people</article-title>. <source>H. HuHumanities Soc. Sci. Commun. 2025&#x22C5;nature.com</source> <volume>12</volume>, <fpage>27</fpage>. <pub-id pub-id-type="doi">10.1057/S41599-024-04295-5</pub-id>
</citation>
</ref>
<ref id="B60">
<citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname>Machado</surname>
<given-names>J. A.</given-names>
</name>
<name>
<surname>Santos Silva</surname>
<given-names>J. M.</given-names>
</name>
</person-group> (<year>2019</year>). &#x201c;<article-title>Quantiles via moments</article-title>,&#x201d; in <source>JMCS SilvaJournal econom. 2019&#x22C5;Elsevier</source>.</citation>
</ref>
<ref id="B61">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Malmodin</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Lund&#xe9;n</surname>
<given-names>D.</given-names>
</name>
</person-group> (<year>2018</year>). <article-title>The energy and carbon footprint of the global ICT and E&#x26;M sectors 2010&#x2013;2015</article-title>. <source>Sustain</source>. <volume>10</volume>, <lpage>3027</lpage>. <pub-id pub-id-type="doi">10.3390/SU10093027</pub-id>
</citation>
</ref>
<ref id="B62">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Maneejuk</surname>
<given-names>P.</given-names>
</name>
<name>
<surname>Yamaka</surname>
<given-names>W.</given-names>
</name>
</person-group> (<year>2021</year>). <article-title>The impact of higher education on economic growth in ASEAN-5 countries</article-title>. <source>Sustain</source> <volume>13</volume>, <fpage>520</fpage>. <pub-id pub-id-type="doi">10.3390/SU13020520</pub-id>
</citation>
</ref>
<ref id="B63">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Markle</surname>
<given-names>G.</given-names>
</name>
</person-group> (<year>2013</year>). <article-title>Pro-environmental behavior: does it matter how it&#x2019;s measured? Development and validation of the pro-environmental behavior scale (PEBS)</article-title>. <source>SpringerGL MarkleHuman Ecol. 2013&#x22C5;Springer</source> <volume>41</volume>, <fpage>905</fpage>&#x2013;<lpage>914</lpage>. <pub-id pub-id-type="doi">10.1007/S10745-013-9614-8</pub-id>
</citation>
</ref>
<ref id="B64">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Markowitz</surname>
<given-names>E. M.</given-names>
</name>
<name>
<surname>Goldberg</surname>
<given-names>L. R.</given-names>
</name>
<name>
<surname>Ashton</surname>
<given-names>M. C.</given-names>
</name>
<name>
<surname>Lee</surname>
<given-names>K.</given-names>
</name>
</person-group> (<year>2012</year>). <article-title>Profiling the &#x201c;pro&#x2010;environmental individual&#x201d;: a personality perspective</article-title>. <source>K. LeeJournal Personal. 2012&#x22C5;Wiley Online Libr.</source> <volume>80</volume>, <fpage>81</fpage>&#x2013;<lpage>111</lpage>. <pub-id pub-id-type="doi">10.1111/J.1467-6494.2011.00721.X</pub-id>
</citation>
</ref>
<ref id="B65">
<citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname>McAleer</surname>
<given-names>M.</given-names>
</name>
</person-group> (<year>2021</year>). &#x201c;<article-title>Critical analysis of some recent medical research in Science on COVID-19. drive</article-title>,&#x201d; in <source>google</source>. <publisher-name>com</publisher-name>.</citation>
</ref>
<ref id="B66">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Mehmood</surname>
<given-names>U.</given-names>
</name>
<name>
<surname>Aslam</surname>
<given-names>M. U.</given-names>
</name>
<name>
<surname>Javed</surname>
<given-names>M. A.</given-names>
</name>
</person-group> (<year>2023</year>). <article-title>Associating economic growth and ecological footprints through human capital and biocapacity in South asia</article-title>. <source>World</source> <volume>4</volume>, <fpage>598</fpage>&#x2013;<lpage>611</lpage>. <pub-id pub-id-type="doi">10.3390/WORLD4030037</pub-id>
</citation>
</ref>
<ref id="B67">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Obrecht</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Pham-Truffert</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Spehn</surname>
<given-names>E.</given-names>
</name>
<name>
<surname>Payne</surname>
<given-names>D.</given-names>
</name>
<name>
<surname>Altermatt</surname>
<given-names>F.</given-names>
</name>
<name>
<surname>Fischer</surname>
<given-names>M.</given-names>
</name>
<etal/>
</person-group> (<year>2021</year>). <article-title>Achieving the SDGs with biodiversity. Swiss acad</article-title>. <source>Arts Sci</source>. <pub-id pub-id-type="doi">10.5281/ZENODO.4457298</pub-id>
</citation>
</ref>
<ref id="B68">
<citation citation-type="web">
<collab>OECD</collab> (<year>2025</year>). <article-title>OECD data explorer</article-title>. <comment>Available online at: <ext-link ext-link-type="uri" xlink:href="https://data-explorer.oecd.org/">https://data-explorer.oecd.org/</ext-link>.</comment>
</citation>
</ref>
<ref id="B69">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Osuntuyi</surname>
<given-names>B. V.</given-names>
</name>
<name>
<surname>Lean</surname>
<given-names>H. H.</given-names>
</name>
</person-group> (<year>2023</year>). <article-title>Environmental degradation, economic growth, and energy consumption: the role of education</article-title>. <source>Sustain. Dev.</source> <volume>31</volume>, <fpage>1166</fpage>&#x2013;<lpage>1177</lpage>. <pub-id pub-id-type="doi">10.1002/SD.2480</pub-id>
</citation>
</ref>
<ref id="B70">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Ouyang</surname>
<given-names>X.</given-names>
</name>
<name>
<surname>Fang</surname>
<given-names>X.</given-names>
</name>
<name>
<surname>Cao</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Sun</surname>
<given-names>C.</given-names>
</name>
</person-group> (<year>2020</year>). <article-title>Factors behind CO2 emission reduction in Chinese heavy industries: do environmental regulations matter?</article-title> <source>Energy Policy</source> <volume>145</volume>, <fpage>111765</fpage>. <pub-id pub-id-type="doi">10.1016/j.enpol.2020.111765</pub-id>
</citation>
</ref>
<ref id="B71">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Pesaran</surname>
<given-names>M. H.</given-names>
</name>
</person-group> (<year>2007</year>). <article-title>A simple panel unit root test in the presence of cross-section dependence</article-title>. <source>J. Appl. Econom.</source> <volume>22</volume>, <fpage>265</fpage>&#x2013;<lpage>312</lpage>. <pub-id pub-id-type="doi">10.1002/jae.951</pub-id>
</citation>
</ref>
<ref id="B72">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Qian</surname>
<given-names>L. H.</given-names>
</name>
</person-group> (<year>2024</year>). <article-title>An empirical study on the relationship between urbanization, transportation infrastructure, industrialization and environmental degradation in China, India and Indonesia</article-title>. <source>Environ. Dev. Sustain.</source>, <fpage>1</fpage>&#x2013;<lpage>27</lpage>. <pub-id pub-id-type="doi">10.1007/s10668-024-05773-1</pub-id>
</citation>
</ref>
<ref id="B73">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Ragazzi</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Ionescu</surname>
<given-names>G.</given-names>
</name>
<name>
<surname>Cioranu</surname>
<given-names>S. I.</given-names>
</name>
</person-group> (<year>2017</year>). <article-title>Assessment of environmental impact from renewable and non-renewable energy sources</article-title>. <source>Int. J. Energy Prod. Manag.</source> <volume>2</volume>, <fpage>8</fpage>&#x2013;<lpage>16</lpage>. <pub-id pub-id-type="doi">10.2495/EQ-V2-N1-8-16</pub-id>
</citation>
</ref>
<ref id="B74">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Ramzan</surname>
<given-names>M.</given-names>
</name>
</person-group> (<year>2021</year>). <article-title>Symmetric Impact Of Exchange Rate Volatility On Foreign Direct Investment In Pakistan: Do The Global Financial Crises And Political Regimes Matter?</article-title> <source>Ann. Financ. Econ.</source> <volume>16</volume>. <pub-id pub-id-type="doi">10.1142/S2010495222500075</pub-id>
</citation>
</ref>
<ref id="B75">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Sahu</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Prusty</surname>
<given-names>T.</given-names>
</name>
<name>
<surname>Alahdal</surname>
<given-names>W. M.</given-names>
</name>
<name>
<surname>Ariff</surname>
<given-names>A. M.</given-names>
</name>
<name>
<surname>Almaqtari</surname>
<given-names>F. A.</given-names>
</name>
<name>
<surname>Hashim</surname>
<given-names>H. A.</given-names>
</name>
</person-group> (<year>2024</year>). <article-title>The role of education in moderating the impact of development on environmental sustainability in OECD countries</article-title>. <source>Discov. Sustain.</source> <volume>51</volume> (<issue>5</issue>), <fpage>237</fpage>&#x2013;<lpage>24</lpage>. <pub-id pub-id-type="doi">10.1007/S43621-024-00450-9</pub-id>
</citation>
</ref>
<ref id="B76">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Sajith Kumar</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Sasidharan</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Bagepally</surname>
<given-names>B. S.</given-names>
</name>
</person-group> (<year>2022</year>). <article-title>Air pollution and cardiovascular disease burden: changing patterns and implications for public health in India</article-title>. <source>Hear. Lung Circ.</source> <volume>32</volume>, <fpage>90</fpage>&#x2013;<lpage>94</lpage>. <pub-id pub-id-type="doi">10.1016/J.HLC.2022.10.012</pub-id>
</citation>
</ref>
<ref id="B77">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Salgado</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Madureira</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Mendes</surname>
<given-names>A. S.</given-names>
</name>
<name>
<surname>Torres</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Teixeira</surname>
<given-names>J. P.</given-names>
</name>
<name>
<surname>Oliveira</surname>
<given-names>M. D.</given-names>
</name>
</person-group> (<year>2020</year>). <article-title>Environmental determinants of population health in urban settings. A systematic review</article-title>. <source>BMC Public Health</source> <volume>20</volume>, <fpage>853</fpage>&#x2013;<lpage>11</lpage>. <pub-id pub-id-type="doi">10.1186/s12889-020-08905-0</pub-id>
</citation>
</ref>
<ref id="B79">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Shao</surname>
<given-names>Q.</given-names>
</name>
<name>
<surname>Wang</surname>
<given-names>X.</given-names>
</name>
<name>
<surname>Zhou</surname>
<given-names>Q.</given-names>
</name>
<name>
<surname>Balogh</surname>
<given-names>L.</given-names>
</name>
</person-group> (<year>2019</year>). <article-title>Pollution haven hypothesis revisited: a comparison of the BRICS and MINT countries based on VECM approach</article-title>. <source>J. Clean. Prod.</source> <volume>227</volume>, <fpage>724</fpage>&#x2013;<lpage>738</lpage>. <pub-id pub-id-type="doi">10.1016/J.JCLEPRO.2019.04.206</pub-id>
</citation>
</ref>
<ref id="B80">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Singh</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Lakhera</surname>
<given-names>G.</given-names>
</name>
<name>
<surname>Ojha</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Mishra</surname>
<given-names>A. kumar</given-names>
</name>
<name>
<surname>Nain</surname>
<given-names>A.</given-names>
</name>
</person-group> (<year>2025</year>). <article-title>Balancing innovation with responsibility: ethical dimensions of AI in revolutionizing E-learning</article-title>. <fpage>467</fpage>, <lpage>500</lpage>. <pub-id pub-id-type="doi">10.4018/979-8-3693-4147-6.CH020</pub-id>
</citation>
</ref>
<ref id="B81">
<citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname>Sinha</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Sengupta</surname>
<given-names>T.</given-names>
</name>
<name>
<surname>Saha</surname>
<given-names>T.</given-names>
</name>
</person-group> (<year>2020a</year>). <source>Technology policy and environmental quality at crossroads: designing SDG policies for select Asia Pacific countries</source>. <publisher-name>Elsevier</publisher-name>.</citation>
</ref>
<ref id="B82">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Sinha</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Shah</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Sengupta</surname>
<given-names>T.</given-names>
</name>
<name>
<surname>Jiao</surname>
<given-names>Z.</given-names>
</name>
</person-group> (<year>2020b</year>). <article-title>Analyzing technology-emissions association in Top-10 polluted MENA countries: how to ascertain sustainable development by quantile modeling approach</article-title>. <source>Z JiaoJournal Environ. Manag. 2020&#x22C5;Elsevier</source> <volume>267</volume>, <fpage>110602</fpage>. <pub-id pub-id-type="doi">10.1016/j.jenvman.2020.110602</pub-id>
</citation>
</ref>
<ref id="B83">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Sun</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Wang</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Zhu</surname>
<given-names>Z.</given-names>
</name>
</person-group> (<year>2023</year>). <article-title>Urbanization and residents&#x2019; health: from the perspective of environmental pollution</article-title>. <source>Environ. Sci. Pollut. Res.</source> <volume>30</volume>, <fpage>67820</fpage>&#x2013;<lpage>67838</lpage>. <pub-id pub-id-type="doi">10.1007/s11356-023-26979-2</pub-id>
</citation>
</ref>
<ref id="B84">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Swamy</surname>
<given-names>P.</given-names>
</name>
</person-group> (<year>1970</year>). <article-title>Efficient inference in a random coefficient regression model</article-title>. <source>JSTORPAVB SwamyEconometrica J. Econom. Soc. 1970&#x22C5;JSTOR</source> <volume>38</volume>, <fpage>311</fpage>&#x2013;<lpage>323</lpage>. <pub-id pub-id-type="doi">10.2307/1913012</pub-id>
</citation>
</ref>
<ref id="B85">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Tariq</surname>
<given-names>N.</given-names>
</name>
<name>
<surname>Ali</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Usman</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Tariq</surname>
<given-names>S. N.</given-names>
</name>
<name>
<surname>Ali</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>UsmanEnvironment</surname>
<given-names>M.</given-names>
</name>
</person-group> (<year>2024</year>). <article-title>Impact of human capital and natural resources on environmental quality in South Asia</article-title>. <source>Dev. Sustain</source>. <pub-id pub-id-type="doi">10.1007/s10668-024-04930-w</pub-id>
</citation>
</ref>
<ref id="B86">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Tiwari</surname>
<given-names>A. K.</given-names>
</name>
<name>
<surname>Boachie</surname>
<given-names>M. K.</given-names>
</name>
<name>
<surname>Gupta</surname>
<given-names>R.</given-names>
</name>
</person-group> (<year>2021</year>). <article-title>Network analysis of economic and financial uncertainties in advanced economies: evidence from graph-theory</article-title>.</citation>
</ref>
<ref id="B87">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Torroba Diaz</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Bajo-Sanjuan</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Callej&#xf3;n Gil</surname>
<given-names>&#xc1;. M.</given-names>
</name>
<name>
<surname>Rosales-P&#xe9;rez</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>L&#xf3;pez Marfil</surname>
<given-names>L.</given-names>
</name>
</person-group> (<year>2023</year>). <article-title>Environmental behavior of university students</article-title>. <source>Int. J. Sustain. High. Educ.</source> <volume>24</volume>, <fpage>1489</fpage>&#x2013;<lpage>1506</lpage>. <pub-id pub-id-type="doi">10.1108/IJSHE-07-2022-0226/FULL/PDF</pub-id>
</citation>
</ref>
<ref id="B88">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Ullah</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Raza</surname>
<given-names>K.</given-names>
</name>
<name>
<surname>Mehmood</surname>
<given-names>U.</given-names>
</name>
</person-group> (<year>2023</year>). <article-title>The impact of economic growth, tourism, natural resources, technological innovation on carbon dioxide emission: evidence from BRICS countries</article-title>. <source>Environ. Sci. Pollut. Res.</source> <volume>30</volume>, <fpage>78825</fpage>&#x2013;<lpage>78838</lpage>. <pub-id pub-id-type="doi">10.1007/s11356-023-27903-4</pub-id>
</citation>
</ref>
<ref id="B89">
<citation citation-type="web">
<collab>UNESCO</collab> (<year>2025</year>). <article-title>Education transforms lives &#x7c; UNESCO</article-title>. <comment>Available online at: <ext-link ext-link-type="uri" xlink:href="https://www.unesco.org/en/education">https://www.unesco.org/en/education</ext-link>.</comment>
</citation>
</ref>
<ref id="B90">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Waris</surname>
<given-names>U.</given-names>
</name>
<name>
<surname>Mehmood</surname>
<given-names>U.</given-names>
</name>
<name>
<surname>Tariq</surname>
<given-names>S.</given-names>
</name>
</person-group> (<year>2023</year>). <article-title>Analyzing the impacts of renewable energy, patents, and trade on carbon emissions&#x2014;evidence from the novel method of MMQR</article-title>. <source>Environ. Sci. Pollut. Res.</source> <volume>30</volume>, <fpage>122625</fpage>&#x2013;<lpage>122641</lpage>. <pub-id pub-id-type="doi">10.1007/S11356-023-30991-X</pub-id>
</citation>
</ref>
<ref id="B91">
<citation citation-type="web">
<collab>WDI</collab> (<year>2025</year>). <article-title>World Bank (world development indicators)</article-title>. <comment>Available online at: <ext-link ext-link-type="uri" xlink:href="https://databank.worldbank.org/indicator/NY.GDP.PCAP.CD/%201ff4a498/%20Popular-Indicators">https://databank.worldbank.org/indicator/NY.GDP.PCAP.CD/%201ff4a498/%20Popular-Indicators</ext-link>.</comment>
</citation>
</ref>
<ref id="B92">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Westerlund</surname>
<given-names>J.</given-names>
</name>
</person-group> (<year>2007</year>). <article-title>Testing for error correction in panel data</article-title>. <source>Oxf. Bull. Econ. Stat.</source> <volume>69</volume>, <fpage>709</fpage>&#x2013;<lpage>748</lpage>. <pub-id pub-id-type="doi">10.1111/j.1468-0084.2007.00477.x</pub-id>
</citation>
</ref>
<ref id="B93">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Wu</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Wan</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Yu</surname>
<given-names>W.</given-names>
</name>
</person-group> (<year>2023</year>). <article-title>Impact of environmental education on environmental quality under the background of low-carbon economy</article-title>. <source>Front. Public Heal.</source> <volume>11</volume>, <fpage>1128791</fpage>. <pub-id pub-id-type="doi">10.3389/fpubh.2023.1128791</pub-id>
</citation>
</ref>
<ref id="B94">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Xu</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Wang</surname>
<given-names>W.</given-names>
</name>
<name>
<surname>Zhu</surname>
<given-names>Y.</given-names>
</name>
</person-group> (<year>2023</year>). <article-title>Does smart city pilot policy reduce CO2 emissions from industrial firms? Insights from China</article-title>. <source>J. Innov. Knowl.</source> <volume>8</volume>, <fpage>100367</fpage>. <pub-id pub-id-type="doi">10.1016/J.JIK.2023.100367</pub-id>
</citation>
</ref>
<ref id="B95">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Yang</surname>
<given-names>F.</given-names>
</name>
<name>
<surname>Ibrahim</surname>
<given-names>R. L.</given-names>
</name>
<name>
<surname>Ajide</surname>
<given-names>K. B.</given-names>
</name>
<name>
<surname>Al-Faryan</surname>
<given-names>M. A. S.</given-names>
</name>
</person-group> (<year>2024</year>). <article-title>Examining the ecological effects of energy transition, environmental technology, and structural change in BRICS economies: implications for sustainable development</article-title>. <source>Energy Sources, Part B Econ. Plan. Policy</source> <volume>19</volume>. <pub-id pub-id-type="doi">10.1080/15567249.2024.2419956</pub-id>
</citation>
</ref>
<ref id="B96">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Yang</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Wang</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Li</surname>
<given-names>G.</given-names>
</name>
</person-group> (<year>2022</year>). <article-title>Higher education for sustainable development in China: policies, curriculum, research, and outreach activities, and campus practices</article-title>. <source>Sustain. Dev. Goals Ser. Part</source> <volume>F2739</volume>, <fpage>121</fpage>&#x2013;<lpage>132</lpage>. <pub-id pub-id-type="doi">10.1007/978-3-031-07191-1_8</pub-id>
</citation>
</ref>
<ref id="B97">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Y&#x131;ld&#x131;z</surname>
<given-names>B.</given-names>
</name>
<name>
<surname>Alola</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Wong</surname>
<given-names>W.</given-names>
</name>
</person-group> (<year>2023</year>). <article-title>Socioeconomic development aspects of democratic governance across selected countries</article-title>. <source>AA Alola, WK WongDemocracy Secur. 2023&#x22C5;Taylor Fr.</source>, <fpage>1</fpage>&#x2013;<lpage>16</lpage>. <pub-id pub-id-type="doi">10.1080/17419166.2023.2178422</pub-id>
</citation>
</ref>
<ref id="B98">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Yu</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Wang</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Liu</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Yu</surname>
<given-names>P.</given-names>
</name>
<name>
<surname>Wang</surname>
<given-names>D.</given-names>
</name>
<name>
<surname>Zheng</surname>
<given-names>P.</given-names>
</name>
<etal/>
</person-group> (<year>2024</year>). <article-title>Revisit the environmental impact of artificial intelligence: the overlooked carbon emission source?</article-title> <source>Front. Environ. Sci. Eng.</source> <volume>18</volume>, <fpage>158</fpage>&#x2013;<lpage>5</lpage>. <pub-id pub-id-type="doi">10.1007/s11783-024-1918-y</pub-id>
</citation>
</ref>
<ref id="B99">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Zeng</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Punjwani</surname>
<given-names>A.</given-names>
</name>
</person-group> (<year>2025</year>). <article-title>Evaluating the interactive and transformative role of innovation, education, human capital and natural resources policies in protecting and sustaining environmental sustainability</article-title>. <source>Sustain</source> <volume>17</volume>, <fpage>3130</fpage>. <pub-id pub-id-type="doi">10.3390/SU17073130</pub-id>
</citation>
</ref>
<ref id="B100">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Zhang</surname>
<given-names>G.</given-names>
</name>
<name>
<surname>Abbas</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Manzoor</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Khan</surname>
<given-names>A.</given-names>
</name>
</person-group> (<year>2025a</year>). <article-title>Efficacy of green energy development and education in driving the ecological balance of developing Asian countries</article-title>. <source>Environ. Dev. Sustain.</source> <volume>2025</volume>, <fpage>1</fpage>&#x2013;<lpage>26</lpage>. <pub-id pub-id-type="doi">10.1007/S10668-025-06100-Y</pub-id>
</citation>
</ref>
<ref id="B101">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Zhang</surname>
<given-names>W.</given-names>
</name>
<name>
<surname>Zhang</surname>
<given-names>F.</given-names>
</name>
<name>
<surname>Cheng</surname>
<given-names>Z.</given-names>
</name>
</person-group> (<year>2025b</year>). <article-title>Green entrepreneurial orientation and green human capital: unlocking the potential of green supply chain integration through corporate environmental strategy</article-title>. <source>Soc. Sci. Commun.</source> <volume>12</volume>, <fpage>655</fpage>. <pub-id pub-id-type="doi">10.1057/S41599-025-04980-Z</pub-id>
</citation>
</ref>
<ref id="B102">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Zhao</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Zhang</surname>
<given-names>L.</given-names>
</name>
<name>
<surname>Peng</surname>
<given-names>L.</given-names>
</name>
<name>
<surname>Zhou</surname>
<given-names>H.</given-names>
</name>
<name>
<surname>Hu</surname>
<given-names>F.</given-names>
</name>
</person-group> (<year>2024</year>). <article-title>Enterprise pollution reduction through digital transformation? Evidence from Chinese manufacturing enterprises</article-title>. <source>Technol. Soc.</source> <volume>77</volume>, <fpage>102520</fpage>. <pub-id pub-id-type="doi">10.1016/J.TECHSOC.2024.102520</pub-id>
</citation>
</ref>
<ref id="B103">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Zhao</surname>
<given-names>X.</given-names>
</name>
<name>
<surname>Wence</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Haiyuan</surname>
<given-names>Z.</given-names>
</name>
</person-group> (<year>2025</year>). <article-title>Sustainability in action: policy, innovation, and Globalization&#x2019;s influence on ecological footprint sub-components in G20 nation</article-title>. <source>Front. Environ. Sci.</source> <volume>13</volume>, <fpage>1520629</fpage>. <pub-id pub-id-type="doi">10.3389/FENVS.2025.1520629</pub-id>
</citation>
</ref>
</ref-list>
</back>
</article>