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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">1621251</article-id>
<article-id pub-id-type="doi">10.3389/fenvs.2025.1621251</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Environmental Science</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Spatial dependencies and long-run dynamics of the Environmental Kuznets Curve in West Africa: an analysis of growth vs. emissions</article-title>
<alt-title alt-title-type="left-running-head">Tang et al.</alt-title>
<alt-title alt-title-type="right-running-head">
<ext-link ext-link-type="uri" xlink:href="https://doi.org/10.3389/fenvs.2025.1621251">10.3389/fenvs.2025.1621251</ext-link>
</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Tang</surname>
<given-names>Decai</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1623766/overview"/>
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<role content-type="https://credit.niso.org/contributor-roles/writing-original-draft/"/>
<role content-type="https://credit.niso.org/contributor-roles/Writing - review &#x26; editing/"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Boamah</surname>
<given-names>Valentina</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
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<role content-type="https://credit.niso.org/contributor-roles/Writing - review &#x26; editing/"/>
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<contrib contrib-type="author" corresp="yes">
<name>
<surname>Ding</surname>
<given-names>Qiang</given-names>
</name>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
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<contrib contrib-type="author">
<name>
<surname>Bai</surname>
<given-names>Jiangang</given-names>
</name>
<xref ref-type="aff" rid="aff4">
<sup>4</sup>
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<aff id="aff1">
<sup>1</sup>
<institution>School of Management Science and Engineering, Nanjing University of Information Science and Technology</institution>, <addr-line>Nanjing</addr-line>, <country>China</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>School of Industry and Urban Construction, Hengxing University</institution>, <addr-line>Qingdao</addr-line>, <country>China</country>
</aff>
<aff id="aff3">
<sup>3</sup>
<institution>School of Foreign Languages, Nanjing University of Finance and Economics</institution>, <addr-line>Nanjing</addr-line>, <country>China</country>
</aff>
<aff id="aff4">
<sup>4</sup>
<institution>The Commerce Bureau of Ordos City</institution>, <addr-line>Ordos</addr-line>, <addr-line>Inner Mongolia</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/1040108/overview">Elias T. Ayuk</ext-link>, Independent Researcher, Accra, Ghana</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/3057259/overview">Ummar Faruk Saeed</ext-link>, Jiangsu University, China</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/3058026/overview">Zia Ur Rehman</ext-link>, Woman University Swabi, Pakistan</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Qiang Ding, <email>qiangding@nufe.edu.cn</email>
</corresp>
</author-notes>
<pub-date pub-type="epub">
<day>30</day>
<month>10</month>
<year>2025</year>
</pub-date>
<pub-date pub-type="collection">
<year>2025</year>
</pub-date>
<volume>13</volume>
<elocation-id>1621251</elocation-id>
<history>
<date date-type="received">
<day>30</day>
<month>04</month>
<year>2025</year>
</date>
<date date-type="accepted">
<day>17</day>
<month>10</month>
<year>2025</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2025 Tang, Boamah, Ding and Bai.</copyright-statement>
<copyright-year>2025</copyright-year>
<copyright-holder>Tang, Boamah, Ding and Bai</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>Validating the Environmental Kuznets Curve (EKC) hypothesis has been a core subject for decades. Still, its universality is contested in contemporary studies due to prior region-specific outcomes. Comprehensively estimating its applicability for West African countries, while addressing the gaps in prior studies, second-generation and non-spherical error methods, spatial approaches, and long-run estimators are applied to 3&#xa0;decades&#x2019; worth of data. The findings reveal that (1) pertaining to environmental deterioration (EAI), West African countries fall within clusters of low-low, low-high, and high-low, with the presence of spatial dependencies. Thus, three types of spatial associations are discovered: low-low clusters (LL), where low-EAI countries are neighbours to other low-EAI countries; low-high outliers (LH), where a low-EAI country is surrounded by high-EAI neighbours; and high-low outliers (HL), where a high-EAI country is bordered by low-EAI countries. (2) Per capita GDP and its quadratic form locally have an inverse relationship with environmental degradation, but in the long run, have a positive correlation. (3) FDI&#x2019;s impact supports the pollution halo hypothesis, while trade exacerbates emissions through emission-intensive goods and transportation-related emissions. (4) Industries affect environmental degradation in the long run negatively, whereas population density exhibits a similar effect locally, and its effects spill over to neighbouring countries. (5) The inverted U-shaped correlation does not hold for West African countries, insinuating that the EKC hypothesis is not universally applicable. Overall, recommendations based on the empirical outcomes are cited for policymakers, stakeholders, and future research.</p>
</abstract>
<kwd-group>
<kwd>environmental kuznets curve (EKC)</kwd>
<kwd>spatial econometrics (SDM)</kwd>
<kwd>long run analysis (FMOLS and CCR)</kwd>
<kwd>emissions (GHGs)</kwd>
<kwd>west africa</kwd>
</kwd-group>
<counts>
<page-count count="17"/>
</counts>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-at-acceptance</meta-name>
<meta-value>Environmental Economics and Management</meta-value>
</custom-meta>
</custom-meta-wrap>
</article-meta>
</front>
<body>
<sec sec-type="intro" id="s1">
<title>1 Introduction</title>
<p>The growing concern and focus on ecological sustainability have been globally stretching, stemming from the continuous rise in emissions (<xref ref-type="bibr" rid="B37">Tenaw and Beyene, 2021</xref>). Undoubtedly, the anthropogenic contribution to this, driven by the notions of survival and economic development, has been a key driver of the now-renowned predicament. Thus, from the prehistoric to the medieval, industrial, and contemporary eras, human activities such as the agricultural revolution, the Renaissance, and the industrial revolution have cohesively contributed to the current emissions problem. From 1990 to 2024, the amount of greenhouse gas (GHG) emissions stemming from agricultural practices, fossil fuel extractions, industrial practices, and the energy production substantially increased by 25%, 52%, 93%, and 104%, respectively; overall, global GHGs as of 2024, excluding land use, land use and forestry, reached 53.2&#xa0;Gt CO<sub>2eq</sub> (<xref ref-type="bibr" rid="B11">EDGAR, 2025</xref>).</p>
<p>Irrespective of the proliferation of climate accords and regulatory measures over the past decades (<xref ref-type="bibr" rid="B8">Boamah et al., 2023</xref>), GHGs have exhibited a persistent upward trajectory, raising an issue of ecological degradation, pronounced in West African countries over the past decade (<xref ref-type="bibr" rid="B20">Jiang et al., 2025</xref>). In 1994, the average amounts of the top three GHGs for West African countries were 6.099&#xa0;Mt CO<sub>2e</sub> for carbon dioxide emissions (CO<sub>2</sub>), 20.005&#xa0;Mt CO<sub>2e</sub> for methane emissions (CH<sub>4</sub>), and 2.253&#xa0;Mt CO<sub>2e</sub> for nitrous oxide (N<sub>2</sub>O). However, these amounts grew by 121.34%, 20.14%, and 134.80%, respectively, as of 2023 (see <xref ref-type="fig" rid="F1">Figure 1</xref>). This raises the critical question of what dynamics are propelling these sustained increases. <xref ref-type="bibr" rid="B18">Jacquet et al. (2025)</xref> highlighted the minor fraction that West Africa&#x2019;s GHGs account for on the global scale. Still, their growing amounts, as illustrated in <xref ref-type="fig" rid="F1">Figure 1</xref>, reveal the severity within the region and ultimately, globally. According to <xref ref-type="bibr" rid="B2">Adu and Denkyirah (2018)</xref>, economic development is a key driver of environmental deterioration in West African countries, while <xref ref-type="bibr" rid="B29">Ntiamoah et al. (2023)</xref> empirically demonstrated that agriculture has a mitigating effect.</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>West African CO<sub>2</sub>, CH<sub>4</sub>, and N<sub>2</sub>O from 1994 to 2023 Graph source: Author construct; Data source: WDI (2025).</p>
</caption>
<graphic xlink:href="fenvs-13-1621251-g001.tif">
<alt-text content-type="machine-generated">Bar chart illustrating greenhouse gas emissions from 1994 to 2023 in million tonnes of CO2 equivalent. It shows data for nitrous oxide, carbon dioxide, and methane. Methane consistently has the highest emissions, followed by carbon dioxide and nitrous oxide.</alt-text>
</graphic>
</fig>
<p>Nonetheless, ecological sustainability and economic studies have been central in assessing the connection between economic development and rising levels of environmental degradation (<xref ref-type="bibr" rid="B13">Erdogan, 2023</xref>). This is because it is posited that the environment degrades in early development phases but diminishes after economies reach a specific income level birthing the Environmental Kuznets Curve hypothesis (EKC)<xref ref-type="fn" rid="fn1">
<sup>1</sup>
</xref>, insinuating that, as a host of developing economies, the West African region&#x2019;s environmental deterioration is tied to its economic development; however, after reaching a certain threshold, this positive association will divert to an inverse correlation, resulting in ecological sustainability (<xref ref-type="bibr" rid="B19">Jian et al., 2022</xref>). Conversely, studies like (<xref ref-type="bibr" rid="B1">Abokyi et al., 2019</xref>; <xref ref-type="bibr" rid="B38">Voumik et al., 2022</xref>; <xref ref-type="bibr" rid="B28">Miao et al., 2024</xref>; <xref ref-type="bibr" rid="B43">Yue and Byrne, 2024</xref>) challenge the EKC&#x2019;s validity, finding that the evidence is highly contingent upon the development stage, region, and methodology. This underscores the need for region-specific empirical testing, especially in West Africa, to determine if an EKC turning point exists or if growth remains inextricably linked to rising emissions.</p>
<p>Against the aforementioned backdrop, this study extends the EKC works and contributes to the concept of ecological sustainability by assessing the link between environmental deterioration in West African countries and their economic advancements. It addresses three core research questions:</p>
<p>First, accounting for internal factors such as industrial advancements and population density while controlling for external and global impacts, like FDI, does the EKC hypothesis hold for West African countries? Second, considering their transboundary systems and trade, do the local implications of neighbouring West African countries spill over and spatially impact the environmental degradation of the local country? Third, whether on a full scale or across the region&#x2019;s diverse income groups, is there a long-run correlation between the economic development and ecological deterioration of West African countries? The answers to these questions furnish robust empirical evidence on the EKC&#x2019;s applicability to a developing region and yield practical guidance for policymakers who aim to integrate economic development with environmental protection.</p>
<p>Therefore, this study transcends the previous literary works (<xref ref-type="bibr" rid="B31">Ogundipe et al., 2019</xref>; <xref ref-type="bibr" rid="B35">Salari et al., 2021</xref>) insightfully by extending the single-metric-single-country assessment of environmental deterioration from 1994 to 2023, creating an index that focuses on renowned GHGs for West African countries. Notwithstanding, it accounts for spatial dependencies by employing Moran&#x2019;s I index and plots, as well as the Spatial Durbin Model (SDM), to address the spatial spillover effects that have received limited scholarly attention in most existing works related to this study&#x2019;s context. Furthermore, it categorises the sample into lower-middle and low-income groups to ascertain the interdependencies between economic growth and environmental depletion. Also, it accounts for long-run relationships by estimating cointegration using the Fully Modified Ordinary Least Squares (FMOLS) approach and robustly verifying the results with the Canonical Cointegration Regression (CCR) model. Understanding these dynamics is imperative to curb environmental degradation in West Africa.</p>
<p>This study proceeds in four subsequent sections. A review of literary works, in addition to this study&#x2019;s hypotheses, is established in <xref ref-type="sec" rid="s2">Section 2</xref>. <xref ref-type="sec" rid="s3">Section 3</xref> delineates the empirical settings and approach, followed by the analysis and discussion of the results in <xref ref-type="sec" rid="s4">Section 4</xref>. The study concludes in <xref ref-type="sec" rid="s5">Section 5</xref> with a synthesis of findings, policy recommendations, and directions for future research.</p>
</sec>
<sec id="s2">
<title>2 Literature review</title>
<p>Greenhouse gases (GHGs), as a blanket, trap heat to warm the Earth and make it inhabitable for humans, thereby introducing the greenhouse effect (<xref ref-type="bibr" rid="B7">Basheer et al., 2024</xref>). However, anthropogenic sources over the years have intensified this effect, leading to a well-documented predicament: global warming (<xref ref-type="bibr" rid="B26">Liu and Li, 2025</xref>). As the top three gases of the GHGs, CO<sub>2</sub>, CH<sub>4</sub>, and N<sub>2</sub>O have diverse lifespans and impacts on the Earth, resulting from their modes of generation and byproducts after reacting in the atmosphere. CO<sub>2</sub>, as the basis of reference for the other gases, is known for having a Global Warming Potential (GWP) of 1, lingers in the atmosphere for over 3&#xa0;decades, and has a radiative efficacy that is low per molecule but high in atmospheric concentration (<xref ref-type="bibr" rid="B27">Meinshausen et al., 2020</xref>). CH<sub>4</sub> is a shorter-lived but radiatively potent GHG compared to CO<sub>2</sub>. When evaluated over a 100-year timeframe, its GWP is 28, reflecting its strong instantaneous radiative force, which is roughly 120 times more effective per molecule than CO<sub>2</sub> at trapping energy (<xref ref-type="bibr" rid="B36">Saunois et al., 2020</xref>). N<sub>2</sub>O, on the other hand, has a stronger radiative efficacy with a GWP of 273 over a 100-year timeframe<xref ref-type="fn" rid="fn2">
<sup>2</sup>
</xref>. Consequently, the profound impact of these GHGs has cemented their status as a prioritised focus for scholarly inquiry.</p>
<p>To elaborate, <xref ref-type="bibr" rid="B22">Kircher (2025)</xref> refined the United States EPA&#x2019;s GHG estimates to more accurately reflect CH<sub>4</sub> leakage generated from natural gas infrastructure. <xref ref-type="bibr" rid="B25">Lin et al. (2025)</xref>, from a cost-benefit perspective, focused on the marginal abatement cost (MAC) of GHGs for some Chinese provinces. <xref ref-type="bibr" rid="B6">Bao et al. (2025)</xref> evaluated the environmental footprint, with a specific focus on GHG, of eastern China&#x2019;s petrochemical wastewater treatment plant (PWWTP). <xref ref-type="bibr" rid="B4">Alvi et al. (2025)</xref> introduced a framework for Organisation for Economic Co-operation and Development (OECD) countries to enhance their achievement of Sustainable Development Goals 13 (SDG 13) by assessing the impact finance has on GHG emissions. And, <xref ref-type="bibr" rid="B34">Rahman et al. (2025)</xref> examined the causality between GHGs and GDP in Middle East and North Africa (MENA) economies. Still, cross-contextual divergence is apparent in the trajectories of GHG emissions; leveraging strong institutions and technological capacity, advanced economies have demonstrated a capacity to decouple economic growth from emissions (<xref ref-type="bibr" rid="B42">Yang and Khan, 2021</xref>). In contrast, developing economies, especially those across Africa, are often characterised by an energy-intensive growth model reliant on fossil fuels, wherein industrial expansion and urbanisation directly propel GHG emissions upward (<xref ref-type="bibr" rid="B3">Alex-Oke et al., 2025</xref>). Externally, inflow of investments (<xref ref-type="bibr" rid="B8">Boamah et al., 2023</xref>) and trade (<xref ref-type="bibr" rid="B14">Espinosa Gracia et al., 2023</xref>) also reel in emission-intensive goods from other global economies. However, empirical evidence is emerging that confirms the significant mitigation potential of renewable energy and green investments (<xref ref-type="bibr" rid="B39">Wu and Ampong, 2025</xref>).</p>
<p>In West Africa, key drivers of emissions-driven environmental degradation include the dominance of extractive industries, cross-border energy trade, and external factors. This is exemplified by Nigeria (<xref ref-type="bibr" rid="B32">Oladimeji et al., 2015</xref>), Ghana (<xref ref-type="bibr" rid="B1">Abokyi et al., 2019</xref>), and C&#xf4;te d&#x2019;Ivoire (<xref ref-type="bibr" rid="B21">Keho, 2015</xref>), whose status as the region&#x2019;s largest emitters stems directly from their intensive oil, gas, and industrial operations. Conversely, Mali, a landlocked country, and others exhibit lower cumulative emissions but are susceptible to regional spillover effects. Additionally, non-regional inflows, including the import of used vehicles and the net displacement of environmental impacts from the global North through trade, contribute to the rising levels of GHGs in the region (<xref ref-type="bibr" rid="B5">Ayesu and Asaana, 2023</xref>; <xref ref-type="bibr" rid="B9">Boateng and Klopp, 2022</xref>). This heterogeneity in emission profiles, as well as global spillover, underscores the need for spatial methodologies that capture interdependencies, alongside long-term analyses capable of distinguishing between transient fluctuations and persistent structural drivers.</p>
<sec id="s2-1">
<title>2.1 GHGs vs. economic growth</title>
<p>Economic growth in developing countries often spurs environmental degradation, as rising incomes and improved living standards expand the consumption of energy and goods, thereby increasing the <italic>per capita</italic> GHG footprint (<xref ref-type="bibr" rid="B17">&#x130;nal et al., 2022</xref>). To elaborate, rising incomes enable previously unaffordable consumption, such as vehicle purchases and migration to urban centres. This behavioural shift accelerates urbanisation, often facilitated by deforestation, and increases GHG emissions through fumes from exhaust pipes, as well as heightened consumption of petroleum-based fuels for energy and transportation. However, economic development can also create pathways for GHG mitigation. As economies mature, heightened sustainability awareness often emerges, which fosters public recognition of environmentally friendly products and activities, subsequently contributing to emission reductions. These aforementioned insights reveal the centrality of GHG and economic growth in the EKC discussions.</p>
<p>The EKC postulates an inverted U-shaped relationship between income <italic>per capita</italic> and environmental degradation (Grossman and Krueger, 1991). Initially, economic expansion exacerbates pollution through industrial scale-up and fossil fuel dependence (scale effects). Upon reaching a higher income threshold, economies transition towards cleaner technologies, stringent regulation, and service-based sectors, thereby reducing emissions through composition and technique effects. <xref ref-type="fig" rid="F2">Figure 2</xref> outlines the conceptual framework of the EKC hypothesis, tracing a three-phase evolution. The pre-industrial phase is marked by rising emissions fueled by resource-intensive growth. Emissions peak during the industrial phase, where rapid economic expansion typically supersedes environmental considerations. Finally, the post-industrial phase is characterised by declining emissions, driven by the synergistic effects of technological innovation, robust regulation, and shifting consumer preferences toward sustainability.</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>Visual EKC representation Source: Author construct.</p>
</caption>
<graphic xlink:href="fenvs-13-1621251-g002.tif">
<alt-text content-type="machine-generated">Bell curve illustrating economic progression. The left shows pre-industrial economy with low income and scale effects, depicted by a bulldozer. The peak shows an industrial economy with middle income, represented by factories. The right side shows a post-industrial economy with high income, technique, and composite effects, depicted by wind turbines and solar panels.</alt-text>
</graphic>
</fig>
<p>Empirical support for the EKC is nevertheless inconclusive. Findings validating the hypothesis exist for specific contexts, including Nigeria (<xref ref-type="bibr" rid="B31">Ogundipe et al., 2019</xref>), West Africa (<xref ref-type="bibr" rid="B24">Konan and Aklobessi, 2021</xref>), and other middle-income regions (<xref ref-type="bibr" rid="B13">Erdogan, 2023</xref>; <xref ref-type="bibr" rid="B20">Jiang et al., 2025</xref>), yet these are counterbalanced by contradictory results from Ghana (<xref ref-type="bibr" rid="B1">Abokyi et al., 2019</xref>), broader African samples (<xref ref-type="bibr" rid="B16">Gyamerah and Gil-Alana, 2023</xref>; <xref ref-type="bibr" rid="B17">&#x130;nal et al., 2022</xref>), and global datasets (<xref ref-type="bibr" rid="B38">Voumik et al., 2022</xref>). These inconsistencies imply that the EKC is a contingent, rather than universal, relationship, shaped by structural determinants such as industrial structure, energy portfolio, and governance efficacy. While developed economies often transition to cleaner production post-industrialisation, many developing regions remain locked in fossil-fuel-dependent growth. This divergence necessitates a rigorous, spatially sensitive empirical assessment to determine the validity of the EKC hypothesis within the West African context.</p>
</sec>
<sec id="s2-2">
<title>2.2 Literary gaps and hypothesis development</title>
<p>A synthesis of recent empirical works on GHGs, the economic growth&#x2013;GHG nexus, and EKC is exhibited in <xref ref-type="table" rid="T1">Table 1</xref>. The outcomes, as iterated in <xref ref-type="sec" rid="s2-1">Section 2.1</xref>, reveal the inconclusiveness on the validity of the EKC hypothesis, while insightfully showing the context-specific nature. Moreover, structural factors, including foreign direct investment (FDI), Industrial activities, population, and openness to trade, are found to be significant contributors to environmental degradation. However, three key gaps were noticed. (1) Most works applied a single-metric approach to quantify environmental degradation in relation to GHG, even though it encompasses other pollutants, and those that accounted for more than one assessed them individually. (2) Prior works assessed the linear correlation between economic growth and environmental degradation, but did not address spatial spillover effects or, in a unified paradigm, estimate their long-run dynamics. (3) Despite the disparities among the various West African income groups, most of the prior studies seldom addressed the income group heterogeneity. As such, this study proposes the following hypotheses to empirically address the aforementioned gaps while contributing to the theoretical understanding of the EKC.</p>
<table-wrap id="T1" position="float">
<label>TABLE 1</label>
<caption>
<p>Comparative evidence from recent literature on EKC, GHGs, and economic growth&#x2013;GHG nexus.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">Author (Year)</th>
<th align="center">Study area</th>
<th align="center">Variable</th>
<th align="center">Method</th>
<th align="center">Key findings</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">
<xref ref-type="bibr" rid="B1">Abokyi et al. (2019)</xref>
</td>
<td align="center">Ghana</td>
<td align="center">CO<sub>2</sub>, industrial growth</td>
<td align="center">ARDL</td>
<td align="center">EKC&#x2713;<break/>&#x2191; GDP &#x2192; &#x2191; CO<sub>2</sub> then GDP &#x2191;CO<sub>2</sub> &#x2193;</td>
</tr>
<tr>
<td align="center">
<xref ref-type="bibr" rid="B31">Ogundipe et al. (2019)</xref>
</td>
<td align="center">Nigeria</td>
<td align="center">CO<sub>2</sub>, GDP, food production index</td>
<td align="center">VECM</td>
<td align="center">EKC&#x2713;<break/>&#x2191; GDP &#x2192; &#x2191; CO<sub>2</sub> then GDP &#x2191;CO<sub>2</sub> &#x2193;</td>
</tr>
<tr>
<td align="center">
<xref ref-type="bibr" rid="B24">Konan and Aklobessi (2021)</xref>
</td>
<td align="center">West Africa</td>
<td align="center">CO<sub>2</sub>, CH<sub>4</sub>, N<sub>2</sub>O, GDP, energy use</td>
<td align="center">FE, RE, Semi-parametric</td>
<td align="center">EKC&#x2713; weak environmental policies delay decoupling</td>
</tr>
<tr>
<td align="center">
<xref ref-type="bibr" rid="B35">Salari et al. (2021)</xref>
</td>
<td align="center">USA</td>
<td align="center">GDP, energy consumption</td>
<td align="center">OLS</td>
<td align="center">EKC&#x2713;<break/>An inverted U-shape exists</td>
</tr>
<tr>
<td align="center">
<xref ref-type="bibr" rid="B17">&#x130;nal et al. (2022)</xref>
</td>
<td align="center">10 African countries</td>
<td align="center">GDP, CO<sub>2</sub>, renewable energy</td>
<td align="center">AMG</td>
<td align="center">&#x2191; GDP &#x2192; &#x2191; CO<sub>2</sub>; renewables are insufficient to offset emissions</td>
</tr>
<tr>
<td align="center">
<xref ref-type="bibr" rid="B38">Voumik et al. (2022)</xref>
</td>
<td align="center">34 countries</td>
<td align="center">GDP, energy intensity, R&#x26;D</td>
<td align="center">CS-ARDL</td>
<td align="center">EKC &#x3a7;; innovation not strong enough to offset growth</td>
</tr>
<tr>
<td align="center">
<xref ref-type="bibr" rid="B13">Erdogan (2023)</xref>
</td>
<td align="center">13 African countries</td>
<td align="center">CO<sub>2</sub>, GDP, resources, population</td>
<td align="center">FMOLS, DOLS</td>
<td align="center">EKC &#x2713; natural resource rents amplify emissions</td>
</tr>
<tr>
<td align="center">
<xref ref-type="bibr" rid="B16">Gyamerah &#x26;Gil-Alana (2023)</xref>
</td>
<td align="center">West &#x26; Central Africa</td>
<td align="center">CO<sub>2</sub>, electricity consumption, GDP</td>
<td align="center">VECM</td>
<td align="center">GDP and electricity consumption &#x2191; &#x2192; CO<sub>2</sub> &#x2191;; no turning point</td>
</tr>
<tr>
<td align="center">
<xref ref-type="bibr" rid="B8">Boamah et al. (2023)</xref>
</td>
<td align="center">Africa</td>
<td align="center">FDI inflows, CO<sub>2</sub>
</td>
<td align="center">GMM</td>
<td align="center">FDI &#x2193; CO<sub>2</sub> <italic>via</italic> technology transfer: evidence of cleaner investment effects</td>
</tr>
<tr>
<td align="center">
<xref ref-type="bibr" rid="B28">Miao et al. (2024)</xref>
</td>
<td align="center">Tianjin, China</td>
<td align="center">GDP, energy intensity, population</td>
<td align="center">LMDI</td>
<td align="center">EKC &#x3a7;; GDP &#x2191; &#x2192; CO<sub>2</sub> &#x2191;, growth is fossil-intensive</td>
</tr>
<tr>
<td align="center">
<xref ref-type="bibr" rid="B43">Yue and Byrne (2024)</xref>
</td>
<td align="center">Global airline industry</td>
<td align="center">GDP, operational scale, CO<sub>2</sub>
</td>
<td align="center">LMDI</td>
<td align="center">Expansion &#x2191; CO<sub>2</sub>; no EKC.</td>
</tr>
<tr>
<td align="center">
<xref ref-type="bibr" rid="B30">Ochi and Saidi (2024)</xref>
</td>
<td align="center">33 countries</td>
<td align="center">Economic growth, GHGs</td>
<td align="center">PVAR</td>
<td align="center">GDP &#x2191;&#x2192; GHGs&#x2191;</td>
</tr>
<tr>
<td align="center">
<xref ref-type="bibr" rid="B20">Jiang et al. (2025)</xref>
</td>
<td align="center">Africa &#x26; Europe</td>
<td align="center">Environmental quality, GDP, and electricity access</td>
<td align="center">DSUR</td>
<td align="center">EKC &#x2713; in middle-income countries; EKC &#x3a7; in low-income ones</td>
</tr>
<tr>
<td align="center">
<xref ref-type="bibr" rid="B34">Rahman et al. (2025)</xref>
</td>
<td align="center">MENA countries</td>
<td align="center">GHGs, GDP, population</td>
<td align="center">FMOLS</td>
<td align="center">1% GDP &#x2191;&#x2192; 0.48% GHGs &#x2191;</td>
</tr>
<tr>
<td align="center">
<xref ref-type="bibr" rid="B3">Alex-Oke et al. (2025)</xref>
</td>
<td align="center">West Africa</td>
<td align="center">Renewable energies, CO<sub>2</sub>
</td>
<td align="center">GAM</td>
<td align="center">Economic growth &#x2191;&#x2192; CO<sub>2</sub> &#x2193;</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>CS-ARDL, cross-section autoregressive distributed-lag model; FE, fixed effects; RE, random effects; VECM, vector error correction model; FMOLS, Fully Modified Ordinary Least Squares; DOLS, Dynamic Ordinary Least Squares; DSUR, dynamic seemingly unrelated regression; GMM, Generalised Methods of Moments; LMDI, Log-Mean Divisia Index; OLS, Ordinary Least Squares; PVAR, Panel Vector Autoregressive; AMG, Augmented Mean Group; GAM, Generalised Additive Model; MENA, Middle East and North Africa.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>H<sub>1a</sub>: As a measure of economic development, <italic>per capita</italic> GDP impacts the level of the top three greenhouse gases in West Africa, i.e., the GDP effects.</p>
<p>H<sub>1b</sub>: A cointegrated interdependence exists between West African countries&#x2019; <italic>per capita</italic> GDP and their ecological degradation, i.e., long-run effects.</p>
<p>H<sub>2a</sub>: Owing to their transboundary systems encompassing cross-border trading, shared energy, and infrastructure, West African countries&#x2019; greenhouse gases are impacted by their surrounding countries&#x2019; structural activities, i.e., spatial spillover effects.</p>
<p>H<sub>2b</sub>: The non-regional inflow of investments and trade impacts the varying levels of greenhouse gases in West African countries, i.e., global effects.</p>
<p>H<sub>3</sub>: West African countries&#x2019; <italic>per capita</italic> GDP positively impacts their environmental deterioration, while the square of <italic>per capita</italic> GDP has a negative impact, i.e., an inverted U-shape exists, and the EKC is validated.</p>
</sec>
</sec>
<sec id="s3">
<title>3 Settings and methods</title>
<p>Data from the 16 West African countries (refer to <xref ref-type="fig" rid="F3">Figure 3</xref>) spanning from 1994 to 2023 are utilised for the analyses in this study. The variables&#x2019; specifications and their corresponding data, along with sources and referenced literary works, are displayed in <xref ref-type="table" rid="T2">Table 2</xref>.</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>Study area.</p>
</caption>
<graphic xlink:href="fenvs-13-1621251-g003.tif">
<alt-text content-type="machine-generated">Map highlighting West Africa with countries shaded in green, including Mauritania, Mali, Niger, Senegal, Guinea-Bissau, Guinea, Sierra Leone, Ivory Coast, Burkina Faso, Benin, Ghana, Nigeria, Togo, and Cape Verde. An inset map shows the location within the African continent. A compass rose and scale bars are included for orientation and distance measurement.</alt-text>
</graphic>
</fig>
<table-wrap id="T2" position="float">
<label>TABLE 2</label>
<caption>
<p>Variable specification.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">Variable</th>
<th align="left">Symbol</th>
<th align="center">Description (unit)</th>
<th align="center">Attribute</th>
<th align="center">References</th>
<th align="center">Source</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">EAI</td>
<td align="center">&#x3b1;</td>
<td align="center">Environmental deterioration index comprising CO<sub>2</sub>, CH<sub>4</sub>, and N<sub>2</sub>O intensity</td>
<td align="center">&#x2b;</td>
<td rowspan="2" align="center">
<xref ref-type="bibr" rid="B37">Tenaw and Beyene (2021)</xref>
</td>
<td rowspan="8" align="center">WDI (2025)</td>
</tr>
<tr>
<td align="center">GHGs</td>
<td align="center">&#x3b1;&#x2032;</td>
<td align="center">WDI total greenhouse gas emissions excluding LULUCF (Mt CO2e)</td>
<td align="center">&#x2b;</td>
</tr>
<tr>
<td align="center">GDP/c</td>
<td rowspan="2" align="center">&#x3b2;</td>
<td align="center">GDP <italic>per capita</italic> (current US$)</td>
<td align="center">&#x2b;</td>
<td align="center">
<xref ref-type="bibr" rid="B34">Rahman et al. (2025)</xref>
</td>
</tr>
<tr>
<td align="center">GDP/c<sup>2</sup>
</td>
<td align="center">Square of GDP <italic>per capita</italic> (current US$)</td>
<td align="center">-</td>
<td align="center">
<xref ref-type="bibr" rid="B31">Ogundipe et al. (2019)</xref>
</td>
</tr>
<tr>
<td align="center">Ind</td>
<td rowspan="4" align="center">&#x3b3;</td>
<td align="center">The value added by industries and construction (current US$)</td>
<td align="center">&#x2b;</td>
<td align="center">
<xref ref-type="bibr" rid="B3">Alex-Oke et al. (2025)</xref>
</td>
</tr>
<tr>
<td align="center">FDI</td>
<td align="center">Inflow of foreign direct investment (current US$)</td>
<td align="center">&#x2b;</td>
<td align="center">
<xref ref-type="bibr" rid="B8">Boamah et al. (2023)</xref>
</td>
</tr>
<tr>
<td align="center">Trd</td>
<td align="center">Sum of merchandise exports and imports (current US$) divided by the value of GDP (current US$)</td>
<td align="center">-</td>
<td align="center">
<xref ref-type="bibr" rid="B14">Espinosa Gracia et al. (2023)</xref>
</td>
</tr>
<tr>
<td align="center">Pop</td>
<td align="center">Population density (people per sq. km of land area)</td>
<td align="center">&#x2b;</td>
<td align="center">
<xref ref-type="bibr" rid="B28">Miao et al. (2024)</xref>
</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>&#x3b1;: response variable, &#x3b2;: explanatory variables, &#x3b3;: control variables, &#x3b1;&#x2019;: robustness test response variable, CO<sub>2</sub>: total carbon dioxide emissions excluding LULUCF (Mt CO2e), LULUCF: Land-Use, Land-Use Change and Forestry, WDI: world development indicators.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<sec id="s3-1">
<title>3.1 Entropy approach</title>
<p>An environmental deterioration index (EAI) comprising CO<sub>2</sub> intensity, CH<sub>4</sub> intensity, and N<sub>2</sub>O intensity is created to measure the degree of degradation in the West African region. The processes involved in the index creation are as follows.<list list-type="simple">
<list-item>
<p>
<italic>Step 1</italic>: Create CO2 intensity (<inline-formula id="inf1">
<mml:math id="m1">
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</p>
</list-item>
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<mml:mi>a</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>t</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mn>2015</mml:mn>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi>U</mml:mi>
<mml:mi>S</mml:mi>
<mml:mo>$</mml:mo>
</mml:mrow>
</mml:msub>
</mml:msub>
</mml:mfrac>
</mml:mrow>
</mml:math>
<label>(3)</label>
</disp-formula>
</p>
<p>The metrics are transformed into kg for a more readable ratio, and GDP (constant 2015 US$) is employed to adjust for inflation and facilitate comparison over time.<list list-type="simple">
<list-item>
<p>
<italic>Step 2</italic>: Data standardisation utilising <xref ref-type="disp-formula" rid="e4">Equation 4</xref>.</p>
</list-item>
</list>
<disp-formula id="equ1">
<mml:math id="m7">
<mml:mrow>
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mrow>
<mml:mi>c</mml:mi>
<mml:mi>y</mml:mi>
<mml:mi>v</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msub>
<mml:mi>i</mml:mi>
<mml:mrow>
<mml:mi>c</mml:mi>
<mml:mi>y</mml:mi>
<mml:mi>v</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:mi mathvariant="italic">min</mml:mi>
<mml:mrow>
<mml:mfenced open="{" close="}" separators="|">
<mml:mrow>
<mml:msub>
<mml:mi>i</mml:mi>
<mml:mrow>
<mml:mi>y</mml:mi>
<mml:mi>v</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#xf7;</mml:mo>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi mathvariant="italic">max</mml:mi>
<mml:mrow>
<mml:mfenced open="{" close="}" separators="|">
<mml:mrow>
<mml:msub>
<mml:mi>i</mml:mi>
<mml:mrow>
<mml:mi>y</mml:mi>
<mml:mi>v</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mi mathvariant="italic">min</mml:mi>
<mml:mrow>
<mml:mfenced open="{" close="}" separators="|">
<mml:mrow>
<mml:msub>
<mml:mi>i</mml:mi>
<mml:mrow>
<mml:mi>y</mml:mi>
<mml:mi>v</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mtext>&#xa0;</mml:mtext>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
</disp-formula>
<disp-formula id="e4">
<mml:math id="m8">
<mml:mrow>
<mml:mi>c</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:mn>3</mml:mn>
<mml:mo>,</mml:mo>
<mml:mo>&#x2026;</mml:mo>
<mml:mi>n</mml:mi>
<mml:mo>;</mml:mo>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi>y</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:mn>3</mml:mn>
<mml:mo>,</mml:mo>
<mml:mo>&#x2026;</mml:mo>
<mml:mi>f</mml:mi>
</mml:mrow>
</mml:math>
<label>(4)</label>
</disp-formula>
</p>
<p>
<italic>S</italic>
<sub>
<italic>cyv</italic>
</sub> is variable <italic>v</italic> standardised outcome for the sampled countries and their years, where indicator v corresponds to <inline-formula id="inf4">
<mml:math id="m9">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>I</mml:mi>
<mml:mi>C</mml:mi>
<mml:mi>O</mml:mi>
</mml:mrow>
<mml:msub>
<mml:mn>2</mml:mn>
<mml:mrow>
<mml:mi>c</mml:mi>
<mml:mi>y</mml:mi>
</mml:mrow>
</mml:msub>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, <inline-formula id="inf5">
<mml:math id="m10">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>I</mml:mi>
<mml:mi>C</mml:mi>
<mml:mi>H</mml:mi>
</mml:mrow>
<mml:msub>
<mml:mn>4</mml:mn>
<mml:mrow>
<mml:mi>c</mml:mi>
<mml:mi>y</mml:mi>
</mml:mrow>
</mml:msub>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, or <inline-formula id="inf6">
<mml:math id="m11">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>I</mml:mi>
<mml:mi>N</mml:mi>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:mi>O</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>c</mml:mi>
<mml:mi>y</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>; <italic>i</italic>
<sub>
<italic>cyv</italic>
</sub> represents the actual value of the variable in question for <italic>c</italic> (sampled countries) in all <italic>y</italic> (years); <italic>min</italic>{ <italic>i</italic>
<sub>
<italic>yv</italic>
</sub>} and <italic>max</italic>{ <italic>i</italic>
<sub>
<italic>yv</italic>
</sub>} denote the minimum and maximum values of each f of indicator <italic>v</italic> in 1994&#x2013;2023 within the sample.</p>
<p>The equation yields values [0,1]; however, to avoid assessment with zeros, <xref ref-type="disp-formula" rid="e5">Equation 5</xref> is applied to transform and omit calculated zeros.<disp-formula id="equ2">
<mml:math id="m12">
<mml:mrow>
<mml:msup>
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mrow>
<mml:mi>c</mml:mi>
<mml:mi>y</mml:mi>
<mml:mi>v</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2032;</mml:mo>
</mml:msup>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mrow>
<mml:mi>c</mml:mi>
<mml:mi>y</mml:mi>
<mml:mi>v</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:mi>&#x3b3;</mml:mi>
</mml:mrow>
</mml:math>
</disp-formula>
<disp-formula id="e5">
<mml:math id="m13">
<mml:mrow>
<mml:mi>&#x3b3;</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:msup>
<mml:mn>10</mml:mn>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>8</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:math>
<label>(5)</label>
</disp-formula>
<list list-type="simple">
<list-item>
<p>
<italic>Step 3</italic>: Estimate contribution <italic>C</italic>
<sub>
<italic>cyv</italic>
</sub> using <xref ref-type="disp-formula" rid="e6">Equation 6</xref>.</p>
</list-item>
</list>
<disp-formula id="e6">
<mml:math id="m14">
<mml:mrow>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mrow>
<mml:mi>c</mml:mi>
<mml:mi>y</mml:mi>
<mml:mi>v</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:msup>
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mrow>
<mml:mi>c</mml:mi>
<mml:mi>y</mml:mi>
<mml:mi>v</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2032;</mml:mo>
</mml:msup>
<mml:mo>&#xf7;</mml:mo>
<mml:mrow>
<mml:mfenced open="[" close="]" separators="|">
<mml:mrow>
<mml:mstyle displaystyle="true">
<mml:munderover>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>c</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi>n</mml:mi>
</mml:munderover>
</mml:mstyle>
<mml:mstyle displaystyle="true">
<mml:munderover>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>y</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi>f</mml:mi>
</mml:munderover>
</mml:mstyle>
<mml:msup>
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mrow>
<mml:mi>c</mml:mi>
<mml:mi>y</mml:mi>
<mml:mi>v</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2032;</mml:mo>
</mml:msup>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
<label>(6)</label>
</disp-formula>
<list list-type="simple">
<list-item>
<p>
<italic>Step 4</italic>: Estimate the value of entropy <italic>E</italic>
<sub>
<italic>v</italic>
</sub> for <italic>v</italic> with <xref ref-type="disp-formula" rid="e7">Equation 7</xref>.</p>
</list-item>
</list>
<disp-formula id="e7">
<mml:math id="m15">
<mml:mrow>
<mml:msub>
<mml:mi>E</mml:mi>
<mml:mi>v</mml:mi>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mi>ln</mml:mi>
<mml:mo>&#x2061;</mml:mo>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>n</mml:mi>
<mml:mi>f</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:mfrac>
<mml:mrow>
<mml:mstyle displaystyle="true">
<mml:munderover>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>c</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi>n</mml:mi>
</mml:munderover>
</mml:mstyle>
<mml:mrow>
<mml:mstyle displaystyle="true">
<mml:munderover>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>y</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi>f</mml:mi>
</mml:munderover>
</mml:mstyle>
<mml:mrow>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mrow>
<mml:mi>c</mml:mi>
<mml:mi>y</mml:mi>
<mml:mi>v</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2061;</mml:mo>
<mml:mi>ln</mml:mi>
<mml:mo>&#x2061;</mml:mo>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mrow>
<mml:mi>c</mml:mi>
<mml:mi>y</mml:mi>
<mml:mi>v</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:mrow>
</mml:mrow>
</mml:mrow>
</mml:math>
<label>(7)</label>
</disp-formula>
<list list-type="simple">
<list-item>
<p>
<italic>Step 5</italic>: Estimate <italic>v</italic>&#x2019;s entropy redundancy (<italic>ED</italic>
<sub>
<italic>v</italic>
</sub>) using <xref ref-type="disp-formula" rid="e8">Equation 8</xref>.</p>
</list-item>
</list>
<disp-formula id="e8">
<mml:math id="m16">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>E</mml:mi>
<mml:mi>D</mml:mi>
</mml:mrow>
<mml:mi>v</mml:mi>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>E</mml:mi>
<mml:mi>v</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
<label>(8)</label>
</disp-formula>
<list list-type="simple">
<list-item>
<p>
<italic>Step 6</italic>: Estimate the weight (<italic>W</italic>
<sub>
<italic>v</italic>
</sub>) of <italic>v</italic> applying <xref ref-type="disp-formula" rid="e9">Equation 9</xref>.</p>
</list-item>
</list>
<disp-formula id="e9">
<mml:math id="m17">
<mml:mrow>
<mml:msub>
<mml:mi>W</mml:mi>
<mml:mi>v</mml:mi>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:msub>
<mml:mrow>
<mml:mi>E</mml:mi>
<mml:mi>D</mml:mi>
</mml:mrow>
<mml:mi>v</mml:mi>
</mml:msub>
<mml:mrow>
<mml:mstyle displaystyle="true">
<mml:msubsup>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>v</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi>r</mml:mi>
</mml:msubsup>
</mml:mstyle>
<mml:msub>
<mml:mrow>
<mml:mi>E</mml:mi>
<mml:mi>D</mml:mi>
</mml:mrow>
<mml:mi>v</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
<label>(9)</label>
</disp-formula>
<list list-type="simple">
<list-item>
<p>
<italic>Step 7:</italic> Estimate the composite index (<italic>EAI</italic>
<sub>
<italic>cy</italic>
</sub>) with <xref ref-type="disp-formula" rid="e10">Equation 10</xref>.</p>
</list-item>
</list>
<disp-formula id="e10">
<mml:math id="m18">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>E</mml:mi>
<mml:mi>A</mml:mi>
<mml:mi>I</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>c</mml:mi>
<mml:mi>y</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mstyle displaystyle="true">
<mml:munderover>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>v</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi>r</mml:mi>
</mml:munderover>
</mml:mstyle>
<mml:msup>
<mml:msub>
<mml:mrow>
<mml:msub>
<mml:mi>W</mml:mi>
<mml:mi>v</mml:mi>
</mml:msub>
<mml:mi>S</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>c</mml:mi>
<mml:mi>y</mml:mi>
<mml:mi>v</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2032;</mml:mo>
</mml:msup>
</mml:mrow>
</mml:math>
<label>(10)</label>
</disp-formula>
</p>
</sec>
<sec id="s3-2">
<title>3.2 Model specification</title>
<p>Due to the context of this work, the benchmark model is specified as:</p>
<p>First, an OLS model is established.<disp-formula id="e11">
<mml:math id="m19">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b1;</mml:mi>
<mml:mrow>
<mml:mi>c</mml:mi>
<mml:mi>y</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mrow>
<mml:mfenced open="{" close="" separators="|">
<mml:mrow>
<mml:mtable columnalign="left">
<mml:mtr>
<mml:mtd>
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b4;</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
<mml:msub>
<mml:mi>X</mml:mi>
<mml:mrow>
<mml:mi>c</mml:mi>
<mml:mi>y</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3b4;</mml:mi>
<mml:mrow>
<mml:mi>n</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
<mml:msub>
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>V</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>c</mml:mi>
<mml:mi>y</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3b5;</mml:mi>
<mml:mrow>
<mml:mi>c</mml:mi>
<mml:mi>y</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>,</mml:mo>
</mml:mrow>
</mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd>
<mml:mrow>
<mml:mi>E</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>&#x3b5;</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>0</mml:mn>
<mml:mo>,</mml:mo>
</mml:mrow>
</mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd>
<mml:mrow>
<mml:mi>V</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>r</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>&#x3b5;</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#x3d;</mml:mo>
<mml:msup>
<mml:mi>&#x3c3;</mml:mi>
<mml:mn>2</mml:mn>
</mml:msup>
<mml:mi mathvariant="normal">&#x3a9;</mml:mi>
</mml:mrow>
</mml:mtd>
</mml:mtr>
</mml:mtable>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
<label>(11)</label>
</disp-formula>
</p>
<p>Second, the residuals after estimating <xref ref-type="disp-formula" rid="e11">Equation 11</xref> are obtained <italic>via</italic> <xref ref-type="disp-formula" rid="e12">Equation 12</xref>.<disp-formula id="e12">
<mml:math id="m20">
<mml:mrow>
<mml:mover accent="true">
<mml:mi>&#x3b5;</mml:mi>
<mml:mo>&#x5e;</mml:mo>
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<mml:mo>&#x3d;</mml:mo>
<mml:mrow>
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<mml:mrow>
<mml:mtable columnalign="left">
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<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>X</mml:mi>
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<mml:msub>
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<mml:mrow>
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</mml:mrow>
</mml:mtd>
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<mml:mtr>
<mml:mtd>
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<mml:mover accent="true">
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<mml:mrow>
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</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:msup>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msup>
<mml:mi>X</mml:mi>
<mml:mi>N</mml:mi>
</mml:msup>
<mml:mi>X</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msup>
<mml:msup>
<mml:mi>X</mml:mi>
<mml:mi>N</mml:mi>
</mml:msup>
<mml:msub>
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<mml:mrow>
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<mml:mi>y</mml:mi>
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</mml:mrow>
</mml:mtd>
</mml:mtr>
</mml:mtable>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
<label>(12)</label>
</disp-formula>
</p>
<p>Third, &#x3a9;, an unknown covariance matrix of errors, is estimated. <xref ref-type="disp-formula" rid="e13">Equations 13</xref>, <xref ref-type="disp-formula" rid="e14">14</xref> are applied to model the error structure for heteroskedasticity and autocorrelation, respectively.<disp-formula id="e13">
<mml:math id="m21">
<mml:mrow>
<mml:mover accent="true">
<mml:mi mathvariant="normal">&#x3a9;</mml:mi>
<mml:mo>&#x5e;</mml:mo>
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<mml:mo>&#x3d;</mml:mo>
<mml:mi>d</mml:mi>
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<mml:mi>a</mml:mi>
<mml:mi>g</mml:mi>
<mml:mrow>
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<mml:mrow>
<mml:msubsup>
<mml:mover accent="true">
<mml:mi>&#x3b5;</mml:mi>
<mml:mo>&#x5e;</mml:mo>
</mml:mover>
<mml:mn>1</mml:mn>
<mml:mn>2</mml:mn>
</mml:msubsup>
<mml:mo>,</mml:mo>
<mml:msubsup>
<mml:mover accent="true">
<mml:mi>&#x3b5;</mml:mi>
<mml:mo>&#x5e;</mml:mo>
</mml:mover>
<mml:mn>2</mml:mn>
<mml:mn>2</mml:mn>
</mml:msubsup>
<mml:mo>,</mml:mo>
<mml:mo>&#x2026;</mml:mo>
<mml:mo>,</mml:mo>
<mml:msubsup>
<mml:mover accent="true">
<mml:mi>&#x3b5;</mml:mi>
<mml:mo>&#x5e;</mml:mo>
</mml:mover>
<mml:mi>n</mml:mi>
<mml:mn>2</mml:mn>
</mml:msubsup>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
<label>(13)</label>
</disp-formula>
<disp-formula id="e14">
<mml:math id="m22">
<mml:mrow>
<mml:mover accent="true">
<mml:mi mathvariant="normal">&#x3a9;</mml:mi>
<mml:mo>&#x5e;</mml:mo>
</mml:mover>
<mml:mo>&#x3d;</mml:mo>
<mml:mrow>
<mml:mfenced open="{" close="" separators="|">
<mml:mrow>
<mml:mtable columnalign="left">
<mml:mtr>
<mml:mtd>
<mml:mrow>
<mml:mfrac>
<mml:mn>1</mml:mn>
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mo>&#x2212;</mml:mo>
<mml:msup>
<mml:mi>&#x3c1;</mml:mi>
<mml:mn>2</mml:mn>
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</mml:mrow>
</mml:mfrac>
<mml:mrow>
<mml:mfenced open="[" close="]" separators="|">
<mml:mrow>
<mml:mtable columnalign="center">
<mml:mtr>
<mml:mtd>
<mml:mn>1</mml:mn>
</mml:mtd>
<mml:mtd>
<mml:mo>&#x22ef;</mml:mo>
</mml:mtd>
<mml:mtd>
<mml:msup>
<mml:mover accent="true">
<mml:mi>&#x3c1;</mml:mi>
<mml:mo>&#x5e;</mml:mo>
</mml:mover>
<mml:mrow>
<mml:mi>N</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd>
<mml:mo>&#x22ee;</mml:mo>
</mml:mtd>
<mml:mtd>
<mml:mo>&#x22f1;</mml:mo>
</mml:mtd>
<mml:mtd>
<mml:mo>&#x22ee;</mml:mo>
</mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd>
<mml:msup>
<mml:mover accent="true">
<mml:mi>&#x3c1;</mml:mi>
<mml:mo>&#x5e;</mml:mo>
</mml:mover>
<mml:mrow>
<mml:mi>N</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mtd>
<mml:mtd>
<mml:mo>&#x22ef;</mml:mo>
</mml:mtd>
<mml:mtd>
<mml:mn>1</mml:mn>
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</mml:mtr>
</mml:mtable>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd>
<mml:mrow>
<mml:mover accent="true">
<mml:mi>&#x3c1;</mml:mi>
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<mml:mo>&#x3d;</mml:mo>
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<mml:mrow>
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<mml:mrow>
<mml:mi>y</mml:mi>
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</mml:mrow>
<mml:mi>N</mml:mi>
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</mml:mstyle>
<mml:msub>
<mml:mover accent="true">
<mml:mi>&#x3b5;</mml:mi>
<mml:mo>&#x5e;</mml:mo>
</mml:mover>
<mml:mi>y</mml:mi>
</mml:msub>
<mml:msub>
<mml:mover accent="true">
<mml:mi>&#x3b5;</mml:mi>
<mml:mo>&#x5e;</mml:mo>
</mml:mover>
<mml:mrow>
<mml:mi>y</mml:mi>
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<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:mstyle displaystyle="true">
<mml:msubsup>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>y</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi>N</mml:mi>
</mml:msubsup>
</mml:mstyle>
<mml:msubsup>
<mml:mover accent="true">
<mml:mi>&#x3b5;</mml:mi>
<mml:mo>&#x5e;</mml:mo>
</mml:mover>
<mml:mi>y</mml:mi>
<mml:mn>2</mml:mn>
</mml:msubsup>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:mtd>
</mml:mtr>
</mml:mtable>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
<label>(14)</label>
</disp-formula>
</p>
<p>Fourth, the transformed FGLS model is established in <xref ref-type="disp-formula" rid="e15">Equation 15</xref>.<disp-formula id="e15">
<mml:math id="m23">
<mml:mrow>
<mml:msub>
<mml:mover accent="true">
<mml:mi>&#x3b2;</mml:mi>
<mml:mo>&#x5e;</mml:mo>
</mml:mover>
<mml:mrow>
<mml:mi>F</mml:mi>
<mml:mi>G</mml:mi>
<mml:mi>L</mml:mi>
<mml:mi>S</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:msup>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msup>
<mml:mi>X</mml:mi>
<mml:mi>N</mml:mi>
</mml:msup>
<mml:msup>
<mml:mover accent="true">
<mml:mi mathvariant="normal">&#x3a9;</mml:mi>
<mml:mo>&#x5e;</mml:mo>
</mml:mover>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msup>
<mml:mi>X</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msup>
<mml:msup>
<mml:mi>X</mml:mi>
<mml:mi>N</mml:mi>
</mml:msup>
<mml:msup>
<mml:mover accent="true">
<mml:mi mathvariant="normal">&#x3a9;</mml:mi>
<mml:mo>&#x5e;</mml:mo>
</mml:mover>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msup>
<mml:msub>
<mml:mi>&#x3b1;</mml:mi>
<mml:mrow>
<mml:mi>c</mml:mi>
<mml:mi>y</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
<label>(15)</label>
</disp-formula>
<inline-formula id="inf7">
<mml:math id="m24">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b1;</mml:mi>
<mml:mrow>
<mml:mi>c</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>y</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is EAI; <italic>N</italic> &#x3d; 16; <italic>y</italic> &#x3d; 1994 to 2023; <italic>&#x3b4;</italic> is the coefficient; <italic>X</italic> is GDP/c and GDP/c<sup>2</sup>; <italic>CV</italic> is Ind, FDI, Trd, and Pop; <inline-formula id="inf8">
<mml:math id="m25">
<mml:mrow>
<mml:mover accent="true">
<mml:mi>&#x3c1;</mml:mi>
<mml:mo>&#x5e;</mml:mo>
</mml:mover>
</mml:mrow>
</mml:math>
</inline-formula> is the estimated autocorrelation coefficient.</p>
<sec id="s3-2-1">
<title>3.2.1 Spatial model specification</title>
<p>The analysis of spatial dependencies in EAI and its explanatory factors across West African countries is conducted using the Moran I index, formulated in <xref ref-type="disp-formula" rid="e16">Equation 16</xref>, with the applied weights equated as shown in <xref ref-type="disp-formula" rid="e17">Equation 17</xref>.<disp-formula id="e16">
<mml:math id="m26">
<mml:mrow>
<mml:mi>I</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mrow>
<mml:mfenced open="[" close="]" separators="|">
<mml:mrow>
<mml:mi>N</mml:mi>
<mml:mrow>
<mml:mstyle displaystyle="true">
<mml:munderover>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>&#x3c6;</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi>N</mml:mi>
</mml:munderover>
</mml:mstyle>
<mml:mrow>
<mml:mstyle displaystyle="true">
<mml:munderover>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>&#x3c9;</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi>N</mml:mi>
</mml:munderover>
</mml:mstyle>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>n</mml:mi>
<mml:mi>w</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>&#x3c6;</mml:mi>
<mml:mi>&#x3c9;</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msub>
<mml:mi>x</mml:mi>
<mml:mi>&#x3c6;</mml:mi>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:mover accent="true">
<mml:mi>x</mml:mi>
<mml:mo>&#xaf;</mml:mo>
</mml:mover>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msub>
<mml:mi>x</mml:mi>
<mml:mi>&#x3c9;</mml:mi>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:mover accent="true">
<mml:mi>x</mml:mi>
<mml:mo>&#xaf;</mml:mo>
</mml:mover>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:mrow>
</mml:mrow>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#xf7;</mml:mo>
<mml:mrow>
<mml:mfenced open="[" close="]" separators="|">
<mml:mrow>
<mml:mstyle displaystyle="true">
<mml:munderover>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>&#x3c6;</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi>N</mml:mi>
</mml:munderover>
</mml:mstyle>
<mml:mstyle displaystyle="true">
<mml:munderover>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>&#x3c9;</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>n</mml:mi>
<mml:mi>w</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>&#x3c6;</mml:mi>
<mml:mi>&#x3c9;</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mstyle displaystyle="true">
<mml:munderover>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>&#x3c6;</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi>N</mml:mi>
</mml:munderover>
</mml:mstyle>
<mml:msup>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msub>
<mml:mi>x</mml:mi>
<mml:mi>&#x3c6;</mml:mi>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:mover accent="true">
<mml:mi>x</mml:mi>
<mml:mo>&#xaf;</mml:mo>
</mml:mover>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msup>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
<label>(16)</label>
</disp-formula>
<disp-formula id="e17">
<mml:math id="m27">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>n</mml:mi>
<mml:mi>w</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>&#x3c6;</mml:mi>
<mml:mi>&#x3c9;</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>0.5</mml:mn>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mfenced open="{" close="" separators="|">
<mml:mrow>
<mml:mtable columnalign="center">
<mml:mtr>
<mml:mtd>
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mi>d</mml:mi>
<mml:mrow>
<mml:mi>&#x3c6;</mml:mi>
<mml:mi>&#x3c9;</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfrac>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi>&#x3c6;</mml:mi>
<mml:mo>&#x2260;</mml:mo>
<mml:mi>&#x3c9;</mml:mi>
</mml:mrow>
</mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd>
<mml:mrow>
<mml:mn>0</mml:mn>
<mml:mtext>&#x2003;</mml:mtext>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>&#x3c6;</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mi>&#x3c9;</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:mtd>
</mml:mtr>
</mml:mtable>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>0.5</mml:mn>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mfenced open="{" close="" separators="|">
<mml:mrow>
<mml:mtable columnalign="center">
<mml:mtr>
<mml:mtd>
<mml:mrow>
<mml:mrow>
<mml:mfenced open="|" close="|" separators="|">
<mml:mrow>
<mml:mfrac>
<mml:mn>1</mml:mn>
<mml:mrow>
<mml:msub>
<mml:mi>y</mml:mi>
<mml:mi>&#x3c6;</mml:mi>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>y</mml:mi>
<mml:mi>&#x3c9;</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi>&#x3c6;</mml:mi>
<mml:mo>&#x2260;</mml:mo>
<mml:mi>&#x3c9;</mml:mi>
</mml:mrow>
</mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd>
<mml:mrow>
<mml:mn>0</mml:mn>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>&#x3c6;</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mi>&#x3c9;</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:mtd>
</mml:mtr>
</mml:mtable>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
<label>(17)</label>
</disp-formula>
</p>
<p>Where N is the 16 West African countries; Referencing <xref ref-type="bibr" rid="B40">Wu et al. (2021)</xref>, <inline-formula id="inf9">
<mml:math id="m28">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>n</mml:mi>
<mml:mi>w</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>&#x3c6;</mml:mi>
<mml:mi>&#x3c9;</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the nested geographic and economic distance weight matrix, with 0.5 assigned as weights due to equal importance; <italic>y</italic>
<sub>
<italic>&#x3c6;</italic>
</sub> and <italic>y</italic>
<sub>
<italic>&#x3c9;</italic>
</sub> are the differences between the GDP of countries &#x3c6; and &#x3c9; from 1994 to 2023; Countries &#x3c6; and &#x3c9; are not near if the value is 0, and one if they are; and the independent variables and their means are <inline-formula id="inf10">
<mml:math id="m29">
<mml:mrow>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula id="inf11">
<mml:math id="m30">
<mml:mrow>
<mml:mover accent="true">
<mml:mi>x</mml:mi>
<mml:mo>&#xaf;</mml:mo>
</mml:mover>
</mml:mrow>
</mml:math>
</inline-formula>, where <inline-formula id="inf12">
<mml:math id="m31">
<mml:mrow>
<mml:mover accent="true">
<mml:mi>x</mml:mi>
<mml:mo>&#xaf;</mml:mo>
</mml:mover>
<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:msubsup>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>&#x3c6;</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi>N</mml:mi>
</mml:msubsup>
</mml:mstyle>
<mml:msub>
<mml:mi>x</mml:mi>
<mml:mi>&#x3c6;</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>.</p>
<p>According to <xref ref-type="bibr" rid="B10">Chen (2014)</xref> and <xref ref-type="bibr" rid="B44">Zhang et al. (2022)</xref>, a general spatial model is given as depicted in <xref ref-type="disp-formula" rid="e18">Equation 18</xref>.<disp-formula id="e18">
<mml:math id="m32">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b8;</mml:mi>
<mml:mrow>
<mml:mi>c</mml:mi>
<mml:mi>y</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mi>&#x3c4;</mml:mi>
<mml:msub>
<mml:mi>&#x3b8;</mml:mi>
<mml:mrow>
<mml:mi>c</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>y</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msubsup>
<mml:mrow>
<mml:mi>p</mml:mi>
<mml:mi>w</mml:mi>
</mml:mrow>
<mml:mi>c</mml:mi>
<mml:mo>&#x2032;</mml:mo>
</mml:msubsup>
<mml:msub>
<mml:mi>&#x3b8;</mml:mi>
<mml:mi>y</mml:mi>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msubsup>
<mml:mi>x</mml:mi>
<mml:mrow>
<mml:mi>c</mml:mi>
<mml:mi>y</mml:mi>
</mml:mrow>
<mml:mo>&#x2032;</mml:mo>
</mml:msubsup>
<mml:mi>&#x3b2;</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:msubsup>
<mml:mi>d</mml:mi>
<mml:mi>c</mml:mi>
<mml:mo>&#x2032;</mml:mo>
</mml:msubsup>
<mml:msub>
<mml:mi>X</mml:mi>
<mml:mi>y</mml:mi>
</mml:msub>
<mml:mi>&#x3b4;</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>u</mml:mi>
<mml:mi>c</mml:mi>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3b8;</mml:mi>
<mml:mi>y</mml:mi>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3b5;</mml:mi>
<mml:mrow>
<mml:mi>c</mml:mi>
<mml:mi>y</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
<label>(18)</label>
</disp-formula>
<disp-formula id="equ3">
<mml:math id="m33">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b5;</mml:mi>
<mml:mrow>
<mml:mi>c</mml:mi>
<mml:mi>y</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mi>&#x3bb;</mml:mi>
<mml:msubsup>
<mml:mi>m</mml:mi>
<mml:mi>c</mml:mi>
<mml:mo>&#x2032;</mml:mo>
</mml:msubsup>
<mml:msub>
<mml:mi>&#x3b5;</mml:mi>
<mml:mi>y</mml:mi>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>v</mml:mi>
<mml:mrow>
<mml:mi>c</mml:mi>
<mml:mi>y</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</disp-formula>
<inline-formula id="inf13">
<mml:math id="m34">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b8;</mml:mi>
<mml:mrow>
<mml:mi>c</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>y</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> (i.e., dynamic panel; if it is not then <inline-formula id="inf14">
<mml:math id="m35">
<mml:mrow>
<mml:mi>&#x3c4;</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>0</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula>) is <inline-formula id="inf15">
<mml:math id="m36">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b8;</mml:mi>
<mml:mrow>
<mml:mi>c</mml:mi>
<mml:mi>y</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> first lag order; the explanatory variable&#x2019;s spatial lag is <inline-formula id="inf16">
<mml:math id="m37">
<mml:mrow>
<mml:msubsup>
<mml:mi>d</mml:mi>
<mml:mi>c</mml:mi>
<mml:mo>&#x2032;</mml:mo>
</mml:msubsup>
<mml:msub>
<mml:mi>X</mml:mi>
<mml:mi>y</mml:mi>
</mml:msub>
<mml:mi>&#x3b4;</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>, the corresponding spatial weight matrix D&#x2019;s <italic>c</italic>th row is <inline-formula id="inf17">
<mml:math id="m38">
<mml:mrow>
<mml:msubsup>
<mml:mi>d</mml:mi>
<mml:mi>c</mml:mi>
<mml:mo>&#x2032;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula>; <inline-formula id="inf18">
<mml:math id="m39">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b8;</mml:mi>
<mml:mi>y</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the year effect; and the disturbance term space weight matrix M&#x2019;s row is <inline-formula id="inf19">
<mml:math id="m40">
<mml:mrow>
<mml:msubsup>
<mml:mi>m</mml:mi>
<mml:mi>c</mml:mi>
<mml:mo>&#x2032;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula>.<list list-type="simple">
<list-item>
<p>a. The Spatial Durbin Model (SDM) is feasible when <inline-formula id="inf20">
<mml:math id="m41">
<mml:mrow>
<mml:mi>&#x3bb;</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>0</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula>; see <xref ref-type="disp-formula" rid="e19">Equation 19</xref>
</p>
</list-item>
</list>
<disp-formula id="e19">
<mml:math id="m42">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">&#x3b1;</mml:mi>
<mml:mrow>
<mml:mi>&#x3c6;</mml:mi>
<mml:mi mathvariant="normal">y</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mi>&#x3c1;</mml:mi>
<mml:mstyle displaystyle="true">
<mml:munderover>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>&#x3c9;</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:mi>w</mml:mi>
<mml:mrow>
<mml:mi>&#x3c6;</mml:mi>
<mml:mi>&#x3c9;</mml:mi>
</mml:mrow>
</mml:msub>
<mml:msub>
<mml:mi>&#x3b1;</mml:mi>
<mml:mrow>
<mml:mi>&#x3c9;</mml:mi>
<mml:mi>y</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:mi>&#x3b2;</mml:mi>
<mml:msub>
<mml:mi>x</mml:mi>
<mml:mrow>
<mml:mi>&#x3c6;</mml:mi>
<mml:mi>y</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mi>&#x3d1;</mml:mi>
<mml:mstyle displaystyle="true">
<mml:munderover>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>&#x3c9;</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:mi>w</mml:mi>
<mml:mrow>
<mml:mi>&#x3c6;</mml:mi>
<mml:mi>&#x3c9;</mml:mi>
</mml:mrow>
</mml:msub>
<mml:msub>
<mml:mi>x</mml:mi>
<mml:mrow>
<mml:mi>&#x3c9;</mml:mi>
<mml:mi>y</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3bb;</mml:mi>
<mml:mi>y</mml:mi>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3bc;</mml:mi>
<mml:mi>&#x3c6;</mml:mi>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3b5;</mml:mi>
<mml:mrow>
<mml:mi>&#x3c6;</mml:mi>
<mml:mi>y</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
<label>(19)</label>
</disp-formula>
<list list-type="simple">
<list-item>
<p>b. The Spatial Autoregression Model (SAR) is feasible when <inline-formula id="inf21">
<mml:math id="m43">
<mml:mrow>
<mml:mi>&#x3bb;</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>0</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula id="inf22">
<mml:math id="m44">
<mml:mrow>
<mml:mi>&#x3b4;</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>0</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula>; see <xref ref-type="disp-formula" rid="e20">Equation 20</xref>
</p>
</list-item>
</list>
<disp-formula id="e20">
<mml:math id="m45">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">&#x3b1;</mml:mi>
<mml:mrow>
<mml:mi>&#x3c6;</mml:mi>
<mml:mi mathvariant="normal">y</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mi>&#x3c1;</mml:mi>
<mml:mstyle displaystyle="true">
<mml:munderover>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>&#x3c9;</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:mi>w</mml:mi>
<mml:mrow>
<mml:mi>&#x3c6;</mml:mi>
<mml:mi>&#x3c9;</mml:mi>
</mml:mrow>
</mml:msub>
<mml:msub>
<mml:mi>&#x3b1;</mml:mi>
<mml:mrow>
<mml:mi>&#x3c9;</mml:mi>
<mml:mi>y</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:mi>&#x3b2;</mml:mi>
<mml:msub>
<mml:mi>x</mml:mi>
<mml:mrow>
<mml:mi>&#x3c6;</mml:mi>
<mml:mi>y</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3bc;</mml:mi>
<mml:mi>&#x3c6;</mml:mi>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3b5;</mml:mi>
<mml:mrow>
<mml:mi>&#x3c6;</mml:mi>
<mml:mi>y</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
<label>(20)</label>
</disp-formula>
<list list-type="simple">
<list-item>
<p>c. The Spatial Error Model (SEM) is feasible when <inline-formula id="inf23">
<mml:math id="m46">
<mml:mrow>
<mml:mi>&#x3c4;</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mi>p</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>0</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula id="inf24">
<mml:math id="m47">
<mml:mrow>
<mml:mi>&#x3b4;</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>0</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula>; see <xref ref-type="disp-formula" rid="e21">Equation 21</xref>
</p>
</list-item>
</list>
<disp-formula id="e21">
<mml:math id="m48">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">&#x3b1;</mml:mi>
<mml:mrow>
<mml:mi>&#x3c6;</mml:mi>
<mml:mi mathvariant="normal">y</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mi>&#x3b2;</mml:mi>
<mml:msub>
<mml:mi>x</mml:mi>
<mml:mrow>
<mml:mi>&#x3c6;</mml:mi>
<mml:mi>y</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3bb;</mml:mi>
<mml:mi>y</mml:mi>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3bc;</mml:mi>
<mml:mi>&#x3c6;</mml:mi>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi mathvariant="normal">&#x39b;</mml:mi>
<mml:mrow>
<mml:mi>&#x3c6;</mml:mi>
<mml:mi>y</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
<label>(21)</label>
</disp-formula>
<disp-formula id="equ4">
<mml:math id="m49">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">&#x39b;</mml:mi>
<mml:mrow>
<mml:mi>&#x3c6;</mml:mi>
<mml:mi>y</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mi>&#x3c1;</mml:mi>
<mml:mstyle displaystyle="true">
<mml:munderover>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>&#x3c9;</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:mi>w</mml:mi>
<mml:mrow>
<mml:mi>&#x3c6;</mml:mi>
<mml:mi>&#x3c9;</mml:mi>
</mml:mrow>
</mml:msub>
<mml:msub>
<mml:mi mathvariant="normal">&#x39b;</mml:mi>
<mml:mrow>
<mml:mi>&#x3c9;</mml:mi>
<mml:mi>y</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3b5;</mml:mi>
<mml:mrow>
<mml:mi>&#x3c6;</mml:mi>
<mml:mi>y</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</disp-formula>
<inline-formula id="inf25">
<mml:math id="m50">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b1;</mml:mi>
<mml:mrow>
<mml:mi>&#x3c6;</mml:mi>
<mml:mi>y</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula id="inf26">
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<mml:mrow>
<mml:msub>
<mml:mi>&#x3b1;</mml:mi>
<mml:mrow>
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<mml:mi>y</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> are EAI for countries &#x3c6; and &#x3c9; at year&#xa0;y, with <inline-formula id="inf27">
<mml:math id="m52">
<mml:mrow>
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</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula id="inf28">
<mml:math id="m53">
<mml:mrow>
<mml:msub>
<mml:mi>x</mml:mi>
<mml:mrow>
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<mml:mi>y</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> as the explanatory and control variables, EAI&#x2019;s spatial lag terms are <inline-formula id="inf29">
<mml:math id="m54">
<mml:mrow>
<mml:mstyle displaystyle="true">
<mml:msubsup>
<mml:mo>&#x2211;</mml:mo>
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<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi>N</mml:mi>
</mml:msubsup>
</mml:mstyle>
<mml:msub>
<mml:mi>w</mml:mi>
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<mml:mi>&#x3c9;</mml:mi>
</mml:mrow>
</mml:msub>
<mml:msub>
<mml:mi>&#x3b1;</mml:mi>
<mml:mrow>
<mml:mi>&#x3c9;</mml:mi>
<mml:mi>y</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> , and the spatial autoregressive coefficient is &#x3c1;. The regression coefficients are <inline-formula id="inf30">
<mml:math id="m55">
<mml:mrow>
<mml:mi>&#x3b2;</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>, and the country-fixed, year effect, and random disturbance terms are <inline-formula id="inf31">
<mml:math id="m56">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3bc;</mml:mi>
<mml:mi>&#x3c6;</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, <inline-formula id="inf32">
<mml:math id="m57">
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<mml:msub>
<mml:mi>&#x3bb;</mml:mi>
<mml:mi>y</mml:mi>
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</mml:mrow>
</mml:math>
</inline-formula>, and <inline-formula id="inf33">
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<mml:mi>y</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>. The residuals with spatial correlation is <inline-formula id="inf34">
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<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">&#x39b;</mml:mi>
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</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> (&#x3c6;y depends on the residuals <inline-formula id="inf35">
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<mml:mi>y</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> of adjacent spatial units and a white noise process <inline-formula id="inf36">
<mml:math id="m61">
<mml:mrow>
<mml:msub>
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<mml:mrow>
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<mml:mi>y</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>).</p>
</sec>
<sec id="s3-2-2">
<title>3.2.2 Long-run model specification and study analytical framework</title>
<p>The FMOLS and CCR models are employed as long-run estimation approaches, as formulated in <xref ref-type="disp-formula" rid="e22">Equations 22</xref>, <xref ref-type="disp-formula" rid="e23">23</xref>, respectively.<disp-formula id="e22">
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<mml:mi>N</mml:mi>
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</mml:mrow>
</mml:math>
<label>(22)</label>
</disp-formula>
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</mml:munderover>
</mml:mstyle>
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</mml:mrow>
</mml:mrow>
</mml:math>
<label>(23)</label>
</disp-formula>
<disp-formula id="equ6">
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<mml:mrow>
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</mml:mrow>
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</mml:mover>
<mml:mrow>
<mml:mo>&#x394;</mml:mo>
<mml:mi>x</mml:mi>
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</mml:mrow>
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</mml:mrow>
</mml:msubsup>
<mml:mo>&#x394;</mml:mo>
<mml:msub>
<mml:mi>x</mml:mi>
<mml:mi>n</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</disp-formula>
<disp-formula id="equ7">
<mml:math id="m66">
<mml:mrow>
<mml:msubsup>
<mml:mi>x</mml:mi>
<mml:mi>n</mml:mi>
<mml:mo>&#x2a;</mml:mo>
</mml:msubsup>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mi>x</mml:mi>
<mml:mi>n</mml:mi>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mover accent="true">
<mml:mi mathvariant="normal">&#x3a9;</mml:mi>
<mml:mo>&#x5e;</mml:mo>
</mml:mover>
<mml:mrow>
<mml:mi>x</mml:mi>
<mml:mo>&#x394;</mml:mo>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:msub>
<mml:msubsup>
<mml:mover accent="true">
<mml:mi mathvariant="normal">&#x3a9;</mml:mi>
<mml:mo>&#x5e;</mml:mo>
</mml:mover>
<mml:mrow>
<mml:mo>&#x394;</mml:mo>
<mml:mi>x</mml:mi>
<mml:mo>&#x394;</mml:mo>
<mml:mi>x</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msubsup>
<mml:mo>&#x394;</mml:mo>
<mml:msub>
<mml:mi>x</mml:mi>
<mml:mi>n</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</disp-formula>
</p>
<p>Where <italic>x</italic>
<sub>
<italic>n</italic>
</sub> &#x3d; vector of regressors; <inline-formula id="inf37">
<mml:math id="m67">
<mml:mrow>
<mml:msubsup>
<mml:mover accent="true">
<mml:mo>&#x394;</mml:mo>
<mml:mo>&#x5e;</mml:mo>
</mml:mover>
<mml:mrow>
<mml:mi>&#x3b5;</mml:mi>
<mml:mi>&#x3bc;</mml:mi>
</mml:mrow>
<mml:mo>&#x2b;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> &#x3d; long-run covariance kernel-based estimator; <inline-formula id="inf38">
<mml:math id="m68">
<mml:mrow>
<mml:msubsup>
<mml:mrow>
<mml:mi>E</mml:mi>
<mml:mi>C</mml:mi>
</mml:mrow>
<mml:mi>n</mml:mi>
<mml:mo>&#x2b;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> &#x3d; endogeneity corrector; <inline-formula id="inf39">
<mml:math id="m69">
<mml:mrow>
<mml:msub>
<mml:mover accent="true">
<mml:mi mathvariant="normal">&#x3a9;</mml:mi>
<mml:mo>&#x5e;</mml:mo>
</mml:mover>
<mml:mrow>
<mml:mi>&#x3b5;</mml:mi>
<mml:mi>&#x3bc;</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> &#x3d; estimated long-run covariance between the residuals and regressor innovations; <inline-formula id="inf40">
<mml:math id="m70">
<mml:mrow>
<mml:msubsup>
<mml:mover accent="true">
<mml:mi mathvariant="normal">&#x3a9;</mml:mi>
<mml:mo>&#x5e;</mml:mo>
</mml:mover>
<mml:mrow>
<mml:mi>&#x3bc;</mml:mi>
<mml:mi>&#x3bc;</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> &#x3d; inverse of the long-run variance of regressor innovations; <inline-formula id="inf41">
<mml:math id="m71">
<mml:mrow>
<mml:mo>&#x394;</mml:mo>
<mml:msub>
<mml:mi>x</mml:mi>
<mml:mi>n</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> &#x3d; the regressors&#x2019; first difference.</p>
<p>The analytical framework for addressing the study&#x2019;s aim, while testing the proposed hypotheses, is presented in <xref ref-type="fig" rid="F4">Figure 4</xref>.</p>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>Study analytical framework.</p>
</caption>
<graphic xlink:href="fenvs-13-1621251-g004.tif">
<alt-text content-type="machine-generated">Study analytical framework illustrationwith six steps in a process. Step 1: Summary and diagnostic testing with various statistical tests. Step 2: Benchmark model analysis with FGLS model estimation. Step 3: Spatial analysis using Moran I test and scatter plot. Step 4: Robustness testing by re- estimating models with adjusted data. Step 5: Heterogeneity analysis for income groups. Step 6: Long-run analysis involving cointegration tests and applying FMOLS and CCR for robustness. Color-coded steps in a linear arrangement.</alt-text>
</graphic>
</fig>
</sec>
</sec>
</sec>
<sec sec-type="results|discussion" id="s4">
<title>4 Results and discussion</title>
<p>
<xref ref-type="table" rid="T2">Table 2</xref> provides a succinct description of the data. Furthermore, key distributional characteristics, namely, mean (x&#x304;), standard deviation (&#x3c3;), skewness (Skew.), and kurtosis (Kurt.), is estimated and visually reported in <xref ref-type="fig" rid="F5">Figure 5</xref> &#x3c3; &#x3c; x&#x304; indicates that the respective variables&#x2019; data are clustered relatively tightly around their mean values. Thus, in the case of EAI, it digresses from its mean (0.321) by 0.199, whereas for GDP/c and GDP/c<sup>2</sup>, they digress from their mean values by 0.310 and 0.304, respectively. In terms of measuring the asymmetry of the distribution to identify the data&#x2019;s lopsidedness while assessing the heaviness and peakedness of the tails, the kurtosis values &#x3c;3 reveal platykurtic distributions; thus, light tails with fewer outliers, while the skewness values of EAI (0.692), Ind (0.475), FDI (1.004), PoP (0.177), and GHGs (0.171) reveal a right-skewed distribution. In a nutshell, the &#x7c;skewness&#x7c; &#x3c; 2 and kurtosis &#x3c;4 values for the employed variables indicate a moderate or approximately normal distribution (<xref ref-type="bibr" rid="B23">Kline, 2016</xref>) with lower relative variability from their corresponding centre of distributions.</p>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption>
<p>Descriptive statistics.</p>
</caption>
<graphic xlink:href="fenvs-13-1621251-g005.tif">
<alt-text content-type="machine-generated">Three-dimensional bar chart titled &#x22;Descriptive Statistics&#x22; displaying statistical measures for variables EAI, GDP/c, Ind, FDI, GDP/c2, Trd, Pop, and GHGs. The bars vary in height and color: orange for means, yellow for standard deviation, green for skewness, and brown for kurtosis. Corresponding numerical values are provided in a table below the chart.</alt-text>
</graphic>
</fig>
<p>Proceeding from the descriptive statistics, the Pesaran cross-sectional dependence (CD), Modified Wald test for groupwise heteroscedasticity (HSCD), and Wooldridge autocorrelation (AR (1)) tests are run to estimate the error structure of the data in a regression setting to avoid spurious outcomes. The results, as reported in <xref ref-type="table" rid="T3">Table 3</xref> under the columns CD (3.254, p-value &#x3c;0.01), HSCD (4163.76, p-value &#x3c;0.01), and AR (1) (34.177, p-value &#x3c;0.01), indicate the presence of the three errors. The presence of CD also suggests that applying traditional unit root tests to assess stationarity may be inaccurate due to the violation of the assumption that the panels are independent of each other. Therefore, the Pesaran unit root test in the presence of cross-sectional dependence (PCADF) is applied (<xref ref-type="bibr" rid="B33">Pesaran, 2007</xref>), and the results are reported in <xref ref-type="table" rid="T3">Table 3</xref>.</p>
<table-wrap id="T3" position="float">
<label>TABLE 3</label>
<caption>
<p>Preliminary tests.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">Level variable</th>
<th colspan="3" align="center">I (0)</th>
<th colspan="3" align="center">I (1)</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">EAI</td>
<td align="center">&#x2212;1.958</td>
<td align="center">&#x2212;2.068&#x2a;</td>
<td align="center">&#x2212;2.142&#x2a;</td>
<td align="center">&#x2212;5.110&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2212;4.010&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2212;3.001&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="center">GDP/c</td>
<td align="center">&#x2212;2.173</td>
<td align="center">&#x2212;2.073</td>
<td align="center">&#x2212;1.859</td>
<td align="center">&#x2212;5.032&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2212;3.892&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2212;3.238&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="center">GDP/c<sup>2</sup>
</td>
<td align="center">&#x2212;2.090</td>
<td align="center">&#x2212;1.888</td>
<td align="center">&#x2212;1.696</td>
<td align="center">&#x2212;4.918&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2212;3.615&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2212;2.643&#x2a;</td>
</tr>
<tr>
<td align="center">Ind</td>
<td align="center">&#x2212;1.628</td>
<td align="center">&#x2212;1.610</td>
<td align="center">&#x2212;1.355</td>
<td align="center">&#x2212;4.784&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2212;3.535&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2212;2.739&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="center">FDI</td>
<td align="center">&#x2212;2.800&#x2a;&#x2a;</td>
<td align="center">&#x2212;2.430</td>
<td align="center">&#x2212;2.136</td>
<td align="center">&#x2212;5.433&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2212;3.918&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2212;3.311&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="center">Trde</td>
<td align="center">&#x2212;2.306&#x2a;</td>
<td align="center">&#x2212;2.345&#x2a;&#x2a;</td>
<td align="center">&#x2212;1.899</td>
<td align="center">&#x2212;5.369&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2212;4.355&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2212;3.396&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="center">Pop</td>
<td align="center">&#x2212;2.826&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2212;3.539&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2212;2.017</td>
<td align="center">&#x2212;1.965</td>
<td align="center">&#x2212;2.490&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2212;1.801</td>
</tr>
<tr>
<td align="center">Lag(s)</td>
<td align="center">0</td>
<td align="center">1</td>
<td align="center">2</td>
<td align="center">0</td>
<td align="center">1</td>
<td align="center">2</td>
</tr>
<tr>
<td align="center" style="background-color:#D3D3D3">&#xa0;</td>
<td colspan="2" align="center" style="background-color:#D3D3D3">CD</td>
<td colspan="2" align="center" style="background-color:#D3D3D3">HSCD</td>
<td colspan="2" align="center" style="background-color:#D3D3D3">AR (1)</td>
</tr>
<tr>
<td align="left"/>
<td colspan="2" align="center">3.254 (0.001)</td>
<td colspan="2" align="center">4163.76 (0.000)</td>
<td colspan="2" align="center">34.177 (0.000)</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>The critical values for the unit root tests are &#x2212;2.630 for a 10% significance level, &#x2212;2.720 for a 5% significance level, and &#x2212;2.880 for a 1% significance level. The parentheses display the probability values. &#x002A;, &#x002A;&#x002A;, and &#x002A;&#x002A;&#x002A; represent significance at the 10%, 5%, and 1% levels.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>The PCADF is conducted with three forms of lag augmentation: (1) there are no lags included, (2) a lag of one is included, and (3) a lag of two is included. Column I (0) reports on the variables at the level, while column I (1) reports on their first differences. The findings reveal that, except for Pop, which was stationary with lag 0 (&#x2212;2.826, p-value &#x3c;0.01) and lag 1 (&#x2212;3.539, p-value &#x3c;0.01), and FDI, which was stationary with lag 0 (&#x2212;2.800, p-value &#x3c;0.05), the rest of the variables were all non-stationary at I (0). However, at I (1), all but Pop were stationary; as such, Pop is integrated at level while the remaining variables are integrated of order 1.</p>
<sec id="s4-1">
<title>4.1 Benchmark regression analysis</title>
<p>Considering the CD, HSCD, and AR (1) outcomes, the FGLS (Feasible Generalised Least Squares) approach is employed to conduct the benchmark analysis. As a BLUE (Best Linear Unbiased Estimator), the FGLS addresses the issue of biased standard errors that result in incorrect inference that OLS (Ordinary Least Squares) faces. Moreover, it is an efficient estimator when the type of error structure is specified, making it a suitable benchmark regression model. <xref ref-type="table" rid="T4">Table 4</xref> reports on the results obtained after applying the FGLS approach; five models are generated, where column (a) regresses GDP and its square on EAI, and columns (b) to (e) regresses GDP and its square on EAI while gradually controlling for Ind, FDI, Trd, and Pop.</p>
<table-wrap id="T4" position="float">
<label>TABLE 4</label>
<caption>
<p>Benchmark estimates.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center"/>
<th align="center">(a)</th>
<th align="center">(b)</th>
<th align="center">(c)</th>
<th align="center">(d)</th>
<th align="center">(e)</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center" style="background-color:#D3D3D3">&#xa0;</td>
<td colspan="5" align="center" style="background-color:#D3D3D3">EAI</td>
</tr>
<tr>
<td rowspan="2" align="center">GDP/c</td>
<td align="center">&#x2212;0.099&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2212;0.099&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2212;0.101&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2212;0.085&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2212;0.071&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="center">(0.031)</td>
<td align="center">(0.031)</td>
<td align="center">(0.031)</td>
<td align="center">(0.030)</td>
<td align="center">(0.029)</td>
</tr>
<tr>
<td rowspan="2" align="center">GDP/c<sup>2</sup>
</td>
<td align="center">&#x2212;0.061&#x2a;&#x2a;</td>
<td align="center">&#x2212;0.059&#x2a;&#x2a;</td>
<td align="center">&#x2212;0.063&#x2a;&#x2a;</td>
<td align="center">&#x2212;0.056&#x2a;&#x2a;</td>
<td align="center">&#x2212;0.045&#x2a;</td>
</tr>
<tr>
<td align="center">(0.028)</td>
<td align="center">(0.029)</td>
<td align="center">(0.029)</td>
<td align="center">(0.028)</td>
<td align="center">(0.026)</td>
</tr>
<tr>
<td rowspan="2" align="center">Ind</td>
<td align="left"/>
<td align="center">0.004</td>
<td align="center">0.003</td>
<td align="center">0.004</td>
<td align="center">0.005</td>
</tr>
<tr>
<td align="left"/>
<td align="center">(0.012)</td>
<td align="center">(0.012)</td>
<td align="center">(0.012)</td>
<td align="center">(0.011)</td>
</tr>
<tr>
<td rowspan="2" align="center">FDI</td>
<td align="left"/>
<td align="left"/>
<td align="center">&#x2212;0.008</td>
<td align="center">&#x2212;0.010&#x2a;&#x2a;</td>
<td align="center">&#x2212;0.008&#x2a;</td>
</tr>
<tr>
<td align="left"/>
<td align="left"/>
<td align="center">(0.005)</td>
<td align="center">(0.005)</td>
<td align="center">(0.004)</td>
</tr>
<tr>
<td rowspan="2" align="center">Trd</td>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="center">0.0002&#x2a;&#x2a;&#x2a;</td>
<td align="center">0.0002&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="center">(0.000)</td>
<td align="center">(0.000)</td>
</tr>
<tr>
<td rowspan="2" align="center">Pop</td>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="center">&#x2212;0.206</td>
</tr>
<tr>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="center">(0.061)</td>
</tr>
<tr>
<td rowspan="2" align="center">C</td>
<td align="center">0.300&#x2a;&#x2a;&#x2a;</td>
<td align="center">0.298&#x2a;&#x2a;&#x2a;</td>
<td align="center">0.303&#x2a;&#x2a;&#x2a;</td>
<td align="center">0.285&#x2a;&#x2a;&#x2a;</td>
<td align="center">0.269&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="center">(0.036)</td>
<td align="center">(0.036)</td>
<td align="center">(0.036)</td>
<td align="center">(0.035)</td>
<td align="center">(0.034)</td>
</tr>
<tr>
<td align="center">Wald chi<sup>2</sup>
</td>
<td align="center">2904.92</td>
<td align="center">2922.19</td>
<td align="center">2920.33</td>
<td align="center">3324.21</td>
<td align="center">3767.00</td>
</tr>
<tr>
<td align="center">Prob &#x3e; chi<sup>2</sup>
</td>
<td align="center">0.000</td>
<td align="center">0.000</td>
<td align="center">0.000</td>
<td align="center">0.000</td>
<td align="center">0.000</td>
</tr>
<tr>
<td align="center">Obs</td>
<td colspan="5" align="center">480</td>
</tr>
<tr>
<td align="center">Countries</td>
<td colspan="5" align="center">16</td>
</tr>
<tr>
<td align="center">Years</td>
<td colspan="5" align="center">1994&#x2013;2023</td>
</tr>
<tr>
<td align="center">Country-effect</td>
<td colspan="5" align="center">Yes</td>
</tr>
<tr>
<td align="center">Year-effect</td>
<td colspan="5" align="center">Yes</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>Hereinafter, standard errors are in parentheses, and &#x2a;&#x2a;&#x2a;, &#x2a;&#x2a;, and &#x2a; represent significance at 1%, 5%, and 10% levels.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>The models accounted for country and year effects to control for time-invariant unobserved heterogeneity and common year shocks, revealing that GDP/c and GDP/c<sup>2</sup> have an inverse correlation with EAI. So, on average, ceteris paribus, a unit increase in <italic>per capita</italic> GDP reduces the intensity of environmental degradation by 0.085, while a unit increase in its squared term reduces it by 0.056, invalidating the EKC hypothesis. On the one hand, Ind and Trd are found to have a positive influence on EAI; however, while the coefficients for Trd are significant at the 1% level, those for Ind are statistically insignificant. On the other hand, FDI and Pop are found to have a negative impact on EAI, but only the FDI coefficient (&#x2212;0.010) in column (d) is statistically significant at the 5% level. Overall, the Prob &#x3e; chi<sup>2</sup> indicates that the models are a good fit.</p>
</sec>
<sec id="s4-2">
<title>4.2 Spatial analysis</title>
<p>The preliminary tests (<xref ref-type="table" rid="T3">Table 3</xref>) revealed no presence of homogeneity; therefore, to address spatial dependencies and avoid model misspecifications, spatial approaches are employed for further analysis to account for geographical correlations. The Moran I results (see <xref ref-type="table" rid="T5">Table 5</xref>) reveal the presence of spatial dependence from 2010 to 2023, with highly significant outcomes in the years 2011 (p-value &#x3c;0.049), 2014 (p-value &#x3c;0.048), 2015 (p-value &#x3c;0.039), 2016 (p-value &#x3c;0.037), 2017 (p-value &#x3c;0.042), and 2018 (p-value &#x3c;0.047).</p>
<table-wrap id="T5" position="float">
<label>TABLE 5</label>
<caption>
<p>West African countries&#x2019; EAI Moran I.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">Year</th>
<th colspan="2" align="center">Moran&#x2019;s I</th>
<th colspan="2" align="center">z-value</th>
<th align="center">p-value</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">2010</td>
<td colspan="2" align="center">0.075</td>
<td colspan="2" align="center">1.397</td>
<td align="center">0.081</td>
</tr>
<tr>
<td align="center">2011</td>
<td colspan="2" align="center">0.100</td>
<td colspan="2" align="center">1.657</td>
<td align="center">0.049</td>
</tr>
<tr>
<td align="center">2012</td>
<td colspan="2" align="center">0.074</td>
<td colspan="2" align="center">1.385</td>
<td align="center">0.083</td>
</tr>
<tr>
<td align="center">2013</td>
<td colspan="2" align="center">0.086</td>
<td colspan="2" align="center">1.504</td>
<td align="center">0.066</td>
</tr>
<tr>
<td align="center">2014</td>
<td colspan="2" align="center">0.101</td>
<td colspan="2" align="center">1.665</td>
<td align="center">0.048</td>
</tr>
<tr>
<td align="center">2015</td>
<td colspan="2" align="center">0.112</td>
<td colspan="2" align="center">1.762</td>
<td align="center">0.039</td>
</tr>
<tr>
<td align="center">2016</td>
<td colspan="2" align="center">0.114</td>
<td colspan="2" align="center">1.792</td>
<td align="center">0.037</td>
</tr>
<tr>
<td align="center">2017</td>
<td colspan="2" align="center">0.107</td>
<td colspan="2" align="center">1.729</td>
<td align="center">0.042</td>
</tr>
<tr>
<td align="center">2018</td>
<td colspan="2" align="center">0.102</td>
<td colspan="2" align="center">1.678</td>
<td align="center">0.047</td>
</tr>
<tr>
<td align="center">2019</td>
<td colspan="2" align="center">0.095</td>
<td colspan="2" align="center">1.607</td>
<td align="center">0.054</td>
</tr>
<tr>
<td align="center">2020</td>
<td colspan="2" align="center">0.095</td>
<td colspan="2" align="center">1.630</td>
<td align="center">0.052</td>
</tr>
<tr>
<td align="center">2021</td>
<td colspan="2" align="center">0.080</td>
<td colspan="2" align="center">1.496</td>
<td align="center">0.067</td>
</tr>
<tr>
<td align="center">2022</td>
<td colspan="2" align="center">0.085</td>
<td colspan="2" align="center">1.526</td>
<td align="center">0.064</td>
</tr>
<tr>
<td align="center">2023</td>
<td colspan="2" align="center">0.090</td>
<td colspan="2" align="center">1.605</td>
<td align="center">0.054</td>
</tr>
<tr>
<td colspan="2" align="center" style="background-color:#D3D3D3">&#xa0;</td>
<td colspan="2" align="center" style="background-color:#D3D3D3">Spatial error</td>
<td colspan="2" align="center" style="background-color:#D3D3D3">Spatial lag</td>
</tr>
<tr>
<td colspan="2" align="center">LM</td>
<td colspan="2" align="center">6.991&#x2a;&#x2a;&#x2a;</td>
<td colspan="2" align="center">1.451</td>
</tr>
<tr>
<td colspan="2" align="center">Robust LM</td>
<td colspan="2" align="center">36.452&#x2a;&#x2a;&#x2a;</td>
<td colspan="2" align="center">30.913&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td colspan="2" align="center" style="background-color:#D3D3D3">&#xa0;</td>
<td colspan="2" align="center" style="background-color:#D3D3D3">Country</td>
<td colspan="2" align="center" style="background-color:#D3D3D3">Year</td>
</tr>
<tr>
<td colspan="2" align="center">LR2</td>
<td colspan="2" align="center">27.31&#x2a;&#x2a;&#x2a;</td>
<td colspan="2" align="center">1223.28&#x2a;&#x2a;&#x2a;</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>&#x002A;, &#x002A;&#x002A;, and &#x002A;&#x002A;&#x002A; represent significance at the 10%, 5%, and 1% levels.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>Nonetheless, to visually detect spatial clusters and outliers while revealing different types of spatial correlations, the Moran I scatter plot is applied using 2010, 2015, 2020, and 2023 as selected year sections. The outcomes, as displayed in <xref ref-type="fig" rid="F6">Figure 6</xref>, show that most of the data points fall within the low-low (LL) quadrant, indicating a spatial cluster of countries with low EAI. This reveals a cold spot, meaning that countries with economies based on services or sustainable agriculture rather than heavy industry or resource extraction are bordered by countries with similar outlook. For instance, Benin and Burkina Faso or Senegal and Guinea-Bissau. The few countries that fall within the high-low (HL) and low-high (LH) quadrants indicate spatial outliers. This means that countries with high intensity in their environmental degradation are surrounded by countries with low degradation intensity, and <italic>vice versa</italic>. For instance, Nigeria with its oil industry emits high levels of GHGs than its neibouring country Benin.</p>
<fig id="F6" position="float">
<label>FIGURE 6</label>
<caption>
<p>EAI Moran plots for 2010, 2015, 2020, and 2023.</p>
</caption>
<graphic xlink:href="fenvs-13-1621251-g006.tif">
<alt-text content-type="machine-generated">Four scatter plots display the relationship between EAI (Environment Awareness Index) and spatially lagged EAI for the years 2010, 2015, 2020, and 2023. Each plot has green diamond markers representing data points and a fitted values line in orange. The horizontal and vertical lines intersect at zero, highlighting the data&#x27;s distribution. Each graph shows a slight upward trend over time.</alt-text>
</graphic>
</fig>
<p>With the presence of spatial dependence established, the LM test is estimated to find a fitting spatial regression model for the West African data. The results, as reported in the columns &#x2018;Spatial error&#x2019; and &#x2018;Spatial lag&#x2019; of <xref ref-type="table" rid="T5">Table 5</xref>, indicate that the selection of an SDM model is suitable due to the high significance level of the robust LM outcomes. Additionally, the LR tests conclude that the inclusion of a double fixed effects in the SDM model is warranted, given the highly significant outcomes of the year (1223.28, p-value &#x3c;0.01) and country (27.31, p-value &#x3c;0.01) effects. Therefore, an SDM with double fixed effects is selected for estimating the spatial correlation between EAI and GDP/c, GDP/c<sup>2</sup>, Ind, FDI, Trd, and Pop.</p>
<p>
<xref ref-type="table" rid="T6">Table 6</xref> reports on the results derived after implementing the SDM model, with the columns &#x2018;Main&#x2019; and &#x2018;Wx&#x2019; corresponding to local effects excluding spatial spillover effects and the effect of neighbouring countries&#x2019; spatially weighted values on the outcome of the local country&#x2019;s EAI, respectively. Similar to the benchmark outcome, the SDM reveals that locally, GDP/c and GDP/c<sup>2</sup> significantly lessen environmental deterioration by 0.278 and 0.202 per their unit rise with all things being constant; thus, pointing to economic development as a potential determinant of enhancing environmental sustainability through environmental degradation mitigation and invalidating the EKC hypothesis locally and spatially. Pertaining to the control variables, Industry value added has a boosting but a statistically insignificant effect overall, FDI mitigates EAI through spatial spillovers (Wx &#x3d; &#x2212;0.073&#x2a;), trade openness locally enhances EAI by 0.027, and population density has a strongly adverse effect locally by 0.197 (p-value &#x3c;0.01) and spatially spills over by 0.700 (p-value &#x3c;0.05).</p>
<table-wrap id="T6" position="float">
<label>TABLE 6</label>
<caption>
<p>SDM estimates.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">Variable</th>
<th align="center">Main</th>
<th align="center">Wx</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td rowspan="2" align="center">GDP/c</td>
<td align="center">&#x2212;0.278&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2212;0.119</td>
</tr>
<tr>
<td align="center">(0.061)</td>
<td align="center">(0.197)</td>
</tr>
<tr>
<td rowspan="2" align="center">GDP/c<sup>2</sup>
</td>
<td align="center">&#x2212;0.202&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2212;0.200</td>
</tr>
<tr>
<td align="center">(0.059)</td>
<td align="center">(0.201)</td>
</tr>
<tr>
<td rowspan="2" align="center">Ind</td>
<td align="center">0.015</td>
<td align="center">0.062</td>
</tr>
<tr>
<td align="center">(0.025)</td>
<td align="center">(0.098)</td>
</tr>
<tr>
<td rowspan="2" align="center">FDI</td>
<td align="center">&#x2212;0.001</td>
<td align="center">&#x2212;0.073&#x2a;</td>
</tr>
<tr>
<td align="center">(0.011)</td>
<td align="center">(0.038)</td>
</tr>
<tr>
<td rowspan="2" align="center">Trd</td>
<td align="center">0.027&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2212;0.018</td>
</tr>
<tr>
<td align="center">(0.009)</td>
<td align="center">(0.032)</td>
</tr>
<tr>
<td rowspan="2" align="center">Pop</td>
<td align="center">&#x2212;0.197&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2212;0.700&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="center">(0.057)</td>
<td align="center">(0.352)</td>
</tr>
<tr>
<td align="center">&#x3c1;</td>
<td colspan="2" align="center">&#x2212;0.645&#x2a;&#x2a;&#x2a; (0.105)</td>
</tr>
<tr>
<td align="center">&#x3c3;<sup>2</sup>
</td>
<td colspan="2" align="center">0.002&#x2a;&#x2a;&#x2a; (0.0001)</td>
</tr>
<tr>
<td align="center">Log-likelihood</td>
<td colspan="2" align="center">802.9178</td>
</tr>
<tr>
<td align="center">
<italic>R</italic>
<sup>2</sup>
</td>
<td colspan="2" align="center">0.039</td>
</tr>
<tr>
<td align="center">Obs</td>
<td colspan="2" align="center">480</td>
</tr>
<tr>
<td align="center">Countries</td>
<td colspan="2" align="center">16</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>&#x002A;, &#x002A;&#x002A;, and &#x002A;&#x002A;&#x002A; represent significance at the 10%, 5%, and 1% levels.</p>
</fn>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="s4-3">
<title>4.3 Robustness testing</title>
<p>The benchmark and SDM models are modified to test the robustness of their outcomes, specifically their sensitivity to model and data adjustments. The robustness tests are conducted in two-fold: (1) the years 2007&#x2013;2009 and 2020 to 2022 are excluded from the sampled years. The Great Recession of 2007&#x2013;2009, stemming from the global financial crisis, generated unprecedented economic volatility. Subsequently, the COVID-19 pandemic (2020-2022) induced lockdowns and supply chain disruptions that produced a structural break in economic activities and data. (2) The EAI is replaced by WDI (2025) total GHGs. This accounts for potential error from variable selection while testing for scale and unit sensitivity.</p>
<p>
<xref ref-type="table" rid="T7">Table 7</xref> reports on the findings of the robustness analyses; columns a and b report on the FGLS&#x2019; robust analyses, while the rest report on the SDM&#x2019;s robust analyses. It should be noted that the FGLS estimates reported in column b are assessed solely by factoring in heteroskedasticity and AR (1), as the presence of cross-sectional dependence was not found; column a follows the benchmark specified error structure. The consistency of the mitigation effect of GDP/c, GDP/c<sup>2</sup>, FDI, and Pop is maintained even with the exclusion of the 2007-2009 and 2020&#x2013;2022 data, in addition to the substitution of the response variable. Moreover, the trade openness boosting impact is realised, but spatially, it negatively spills over, although the impact is statistically not significant. Overall, the robustness tests collectively indicate that the benchmark and SDM specifications yield stable estimates that are robust to both global economic shocks and alternative model parsimony selections.</p>
<table-wrap id="T7" position="float">
<label>TABLE 7</label>
<caption>
<p>Robustness estimates.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center"/>
<th colspan="3" align="center">(1)</th>
<th colspan="3" align="center">(2)</th>
</tr>
<tr>
<th align="left"/>
<th align="center">a</th>
<th align="center">Main</th>
<th align="center">Wx</th>
<th align="center">b</th>
<th align="center">Main</th>
<th align="center">Wx</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td rowspan="2" align="center">GDP/c</td>
<td align="center">&#x2212;0.073&#x2a;</td>
<td align="center">&#x2212;0.281&#x2a;&#x2a;&#x2a;</td>
<td align="center">0.025</td>
<td align="center">&#x2212;0.642&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2212;1.317&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2212;0.061</td>
</tr>
<tr>
<td align="center">(0.039)</td>
<td align="center">(0.068)</td>
<td align="center">(0.230)</td>
<td align="center">(0.238)</td>
<td align="center">(0.272)</td>
<td align="center">(0.878)</td>
</tr>
<tr>
<td rowspan="2" align="center">GDP/c<sup>2</sup>
</td>
<td align="center">&#x2212;0.028</td>
<td align="center">&#x2212;0.182&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2212;0.079</td>
<td align="center">&#x2212;0.276&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2212;0.967&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2212;0.296</td>
</tr>
<tr>
<td align="center">(0.037)</td>
<td align="center">(0.067)</td>
<td align="center">(0.244)</td>
<td align="center">(0.232)</td>
<td align="center">(0.261)</td>
<td align="center">(0.892)</td>
</tr>
<tr>
<td rowspan="2" align="center">Ind</td>
<td align="center">&#x2212;0.000</td>
<td align="center">0.012</td>
<td align="center">&#x2212;0.017</td>
<td align="center">0.042</td>
<td align="center">&#x2212;0.047</td>
<td align="center">0.152</td>
</tr>
<tr>
<td align="center">(0.016)</td>
<td align="center">(0.028)</td>
<td align="center">(0.112)</td>
<td align="center">(0.100)</td>
<td align="center">(0.109)</td>
<td align="center">(0.434)</td>
</tr>
<tr>
<td rowspan="2" align="center">FDI</td>
<td align="center">&#x2212;0.006</td>
<td align="center">0.005</td>
<td align="center">&#x2212;0.041</td>
<td align="center">&#x2212;0.080&#x2a;&#x2a;</td>
<td align="center">&#x2212;0.126&#x2a;&#x2a;</td>
<td align="center">0.142</td>
</tr>
<tr>
<td align="center">(0.006)</td>
<td align="center">(0.014)</td>
<td align="center">(0.048)</td>
<td align="center">(0.033)</td>
<td align="center">(0.049)</td>
<td align="center">(0.170)</td>
</tr>
<tr>
<td rowspan="2" align="center">Trd</td>
<td align="center">0.016&#x2a;&#x2a;</td>
<td align="center">0.034&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2212;0.034</td>
<td align="center">0.062&#x2a;</td>
<td align="center">0.122&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2212;0.061</td>
</tr>
<tr>
<td align="center">(0.009)</td>
<td align="center">(0.011)</td>
<td align="center">(0.041)</td>
<td align="center">(0.037)</td>
<td align="center">(0.039)</td>
<td align="center">(0.143)</td>
</tr>
<tr>
<td rowspan="2" align="center">Pop</td>
<td align="center">&#x2212;0.141&#x2a;</td>
<td align="center">&#x2212;0.180&#x2a;&#x2a;</td>
<td align="center">&#x2212;1.029&#x2a;&#x2a;</td>
<td align="center">&#x2212;1.419&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2212;0.428&#x2a;</td>
<td align="center">&#x2212;0.805</td>
</tr>
<tr>
<td align="center">(0.080)</td>
<td align="center">(0.070)</td>
<td align="center">(0.425)</td>
<td align="center">(0.504)</td>
<td align="center">(0.255)</td>
<td align="center">(1.567)</td>
</tr>
<tr>
<td align="center">Wald chi<sup>2</sup>
</td>
<td align="center">2430.97</td>
<td align="left"/>
<td align="left"/>
<td align="center">220.79</td>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="center">Prob &#x3e; chi<sup>2</sup>
</td>
<td align="center">0.000</td>
<td align="left"/>
<td align="left"/>
<td align="center">0.000</td>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="center">&#x3c1;</td>
<td align="left"/>
<td colspan="2" align="center">&#x2212;0.658&#x2a;&#x2a;&#x2a; (0.118)</td>
<td align="left"/>
<td colspan="2" align="center">&#x2212;0.710&#x2a;&#x2a;&#x2a; (0.097)</td>
</tr>
<tr>
<td align="center">&#x3c3;<sup>2</sup>
</td>
<td align="left"/>
<td colspan="2" align="center">0.002&#x2a;&#x2a;&#x2a; (0.0002)</td>
<td align="left"/>
<td colspan="2" align="center">0.038&#x2a;&#x2a;&#x2a; (0.003)</td>
</tr>
<tr>
<td align="center">
<italic>R</italic>
<sup>2</sup>
</td>
<td align="left"/>
<td colspan="2" align="center">0.032</td>
<td align="left"/>
<td colspan="2" align="center">0.227</td>
</tr>
<tr>
<td align="center">Obs</td>
<td colspan="3" align="center">384</td>
<td colspan="3" align="center">480</td>
</tr>
<tr>
<td align="center">Countries</td>
<td colspan="3" align="center">16</td>
<td colspan="3" align="center">16</td>
</tr>
<tr>
<td align="center">Years</td>
<td colspan="3" align="center">1994&#x2013;2006, 2010&#x2013;2019, 2023</td>
<td colspan="3" align="center">1994&#x2013;2023</td>
</tr>
<tr>
<td align="center">Country-effect</td>
<td align="center">Yes</td>
<td align="left"/>
<td align="left"/>
<td align="center">Yes</td>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="center">Year-effect</td>
<td align="center">Yes</td>
<td align="left"/>
<td align="left"/>
<td align="center">Yes</td>
<td align="left"/>
<td align="left"/>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>&#x002A;, &#x002A;&#x002A;, and &#x002A;&#x002A;&#x002A; represent significance at the 10%, 5%, and 1% levels.</p>
</fn>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="s4-4">
<title>4.4 Heterogeneity analysis</title>
<p>West Africa&#x2019;s economic landscape, composed predominantly of lower-middle and low-income countries (WDI, 2025) (see <xref ref-type="fig" rid="F7">Figure 7</xref>), reveals significant stratification in development pathways. The low-income countries feature informal sector dominance and volatile GDP growth, coupled with limited technological development and high climate vulnerability, while the lower-middle-income countries display greater economic diversification, moderate growth stability, increased infrastructure investment, and growing climate resilience. With that, this study proceeds to assess the impact of <italic>per capita</italic> GDP and its square, the value added by industries, inflows of FDI, trade openness, and population density on the extent of environmental deterioration in the various West African countries&#x2019; income groups.</p>
<fig id="F7" position="float">
<label>FIGURE 7</label>
<caption>
<p>West African countries&#x2019; income categorisation.</p>
</caption>
<graphic xlink:href="fenvs-13-1621251-g007.tif">
<alt-text content-type="machine-generated">Map of West African countries categorized by income group: green for lower-middle income and beige for low income. Countries include Mauritania, Senegal, Mali, Niger, Burkina Faso, Cape Verde, Guinea-Bissau, Guinea, Sierra Leone, Liberia, Ivory Coast, Ghana, Togo, Benin, and Nigeria. A compass rose and scale bar are present.</alt-text>
</graphic>
</fig>
<p>The panel-corrected standard error (PCSE) model is utilised for the heterogeneity estimations. The SDM and FGLS models were initially considered, but Moran&#x2019;s I revealed no spatial dependence in the low-income group, in addition to the small sample sizes after decomposing the countries into their various income groups. As such, to maintain consistency and allow for a fair comparison, the PCSE approach is applied, and the results are reported in <xref ref-type="table" rid="T8">Table 8</xref>. It should be noted that column EAI reports on the PCSE model with EAI as the response variable, whereas the GHGs column is the robustness test with the GHGs as the response variable. The presence of cross-sectional dependence was found only in the model under column EAI for the lower-middle income group; as such, its PCSE model was modelled to factor in cross-sectional dependencies, heteroscedasticity, and AR (1), while the remaining three models were modelled to factor in all the errors, excluding cross-sectional dependencies.</p>
<table-wrap id="T8" position="float">
<label>TABLE 8</label>
<caption>
<p>PCSE estimates.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th rowspan="2" align="center"/>
<th colspan="2" align="center">Low income</th>
<th colspan="2" align="center">Lower-middle income</th>
</tr>
<tr>
<th align="center">EAI</th>
<th align="center">GHGs</th>
<th align="center">EAI</th>
<th align="center">GHGs</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td rowspan="2" align="center">GDP/c</td>
<td align="center">&#x2212;0.259&#x2a;&#x2a;</td>
<td align="center">&#x2212;0.712&#x2a;&#x2a;</td>
<td align="center">&#x2212;0.067</td>
<td align="center">&#x2212;0.038</td>
</tr>
<tr>
<td align="center">(0.117)</td>
<td align="center">(0.337)</td>
<td align="center">(0.084)</td>
<td align="center">(0.372)</td>
</tr>
<tr>
<td rowspan="2" align="center">GDP/c<sup>2</sup>
</td>
<td align="center">&#x2212;0.170</td>
<td align="center">&#x2212;0.485</td>
<td align="center">&#x2212;0.024</td>
<td align="center">0.099</td>
</tr>
<tr>
<td align="center">(0.117)</td>
<td align="center">(0.337)</td>
<td align="center">(0.072)</td>
<td align="center">(0.342)</td>
</tr>
<tr>
<td rowspan="2" align="center">Ind</td>
<td align="center">&#x2212;0.029</td>
<td align="center">&#x2212;0.203</td>
<td align="center">0.021</td>
<td align="center">&#x2212;0.043</td>
</tr>
<tr>
<td align="center">(0.049)</td>
<td align="center">(0.141)</td>
<td align="center">(0.035)</td>
<td align="center">(0.165)</td>
</tr>
<tr>
<td rowspan="2" align="center">FDI</td>
<td align="center">0.001</td>
<td align="center">&#x2212;0.067</td>
<td align="center">0.000</td>
<td align="center">&#x2212;0.121&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="center">(0.015)</td>
<td align="center">(0.045)</td>
<td align="center">(0.013)</td>
<td align="center">(0.054)</td>
</tr>
<tr>
<td rowspan="2" align="center">Trd</td>
<td align="center">0.011</td>
<td align="center">0.064</td>
<td align="center">0.006</td>
<td align="center">&#x2212;0.025</td>
</tr>
<tr>
<td align="center">(0.017)</td>
<td align="center">(0.054)</td>
<td align="center">(0.012)</td>
<td align="center">(0.057)</td>
</tr>
<tr>
<td rowspan="2" align="center">Pop</td>
<td align="center">&#x2212;1.626&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2212;2.569&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2212;0.524&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2212;0.183</td>
</tr>
<tr>
<td align="center">(0.381)</td>
<td align="center">(0.642)</td>
<td align="center">(0.114)</td>
<td align="center">(0.569)</td>
</tr>
<tr>
<td align="center">Wald chi<sup>2</sup>
</td>
<td align="center">76.88</td>
<td align="center">137.74</td>
<td align="center">70.28</td>
<td align="center">75.09</td>
</tr>
<tr>
<td align="center">Prob &#x3e; chi<sup>2</sup>
</td>
<td align="center">0.000</td>
<td align="center">0.000</td>
<td align="center">0.000</td>
<td align="center">0.000</td>
</tr>
<tr>
<td align="center">
<italic>R</italic>
<sup>2</sup>
</td>
<td align="center">0.460</td>
<td align="center">0.447</td>
<td align="center">0.586</td>
<td align="center">0.304</td>
</tr>
<tr>
<td align="center">Obs</td>
<td colspan="4" align="center">240</td>
</tr>
<tr>
<td align="center">Countries</td>
<td colspan="4" align="center">8</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>&#x002A;, &#x002A;&#x002A;, and &#x002A;&#x002A;&#x002A; represent significance at the 10%, 5%, and 1% levels.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>The PCSE models revealed an inverse correlation between <italic>per capita</italic> GDP and environmental degradation in both income groups, as discovered in the full sample; however, the EAI model and GHGs model for the low-income group had significant outcomes at the 5% level. Insinuating that, with all things being equal, a unit rise in GDP/c of the low-income West African countries will mitigate environmental degradation or GHGs by 0.259 or 0.712, respectively. The EKC hypothesis is invalidated in both income groups, as the GDP/c and GDP/c<sup>2</sup> coefficients do not conform to the underlying concept of the hypothesis. Nevertheless, the coefficients of population density are found to impact EAI negatively, and the same outcome is discovered for the GHGs model.</p>
</sec>
<sec id="s4-5">
<title>4.5 Long-run analysis</title>
<p>The second-generation unit root test (<xref ref-type="table" rid="T3">Table 3</xref>) indicated that all but Pop are integrated of order 1. As such, the Kao cointegration test is conducted to determine if a long-run equilibrium exists within the data, excluding Pop, thereby corroborating the estimation of a long-run analysis. According to the results (see <xref ref-type="table" rid="T9">Table 9</xref>), a conintegration exists within both the full sample and the low-income group. Based on this, the FMOLS approach is used, with the CCR implemented as a robust testing approach to assess the long-run estimates of GDP/c, GDP/c<sup>2</sup>, FDI, Ind, and Trd&#x2019;s impact on EAI within the full sample and low-income groups.</p>
<table-wrap id="T9" position="float">
<label>TABLE 9</label>
<caption>
<p>Cointegration test.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th rowspan="2" align="center"/>
<th colspan="2" align="center">Full</th>
<th colspan="2" align="center">Low income</th>
<th colspan="2" align="center">Lower-middle income</th>
</tr>
<tr>
<th align="center">Stats</th>
<th align="center">p-value</th>
<th align="center">Stats</th>
<th align="center">p-value</th>
<th align="center">Stats</th>
<th align="center">p-value</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">Modified DF t</td>
<td align="center">&#x2212;2.657</td>
<td align="center">0.004</td>
<td align="center">&#x2212;3.700</td>
<td align="center">0.000</td>
<td align="center">0.569</td>
<td align="center">0.284</td>
</tr>
<tr>
<td align="center">DF t</td>
<td align="center">&#x2212;4.151</td>
<td align="center">0.001</td>
<td align="center">&#x2212;3.837</td>
<td align="center">0.000</td>
<td align="center">&#x2212;0.196</td>
<td align="center">0.422</td>
</tr>
<tr>
<td align="center">Augmented DF t</td>
<td align="center">&#x2212;4.127</td>
<td align="center">0.000</td>
<td align="center">&#x2212;3.304</td>
<td align="center">0.000</td>
<td align="center">&#x2212;1.514</td>
<td align="center">0.065</td>
</tr>
<tr>
<td align="center">Unadjusted modified DF t</td>
<td align="center">&#x2212;3.614</td>
<td align="center">0.000</td>
<td align="center">&#x2212;4.308</td>
<td align="center">0.000</td>
<td align="center">&#x2212;0.024</td>
<td align="center">0.490</td>
</tr>
<tr>
<td align="center">Unadjusted DF t</td>
<td align="center">&#x2212;4.539</td>
<td align="center">0.000</td>
<td align="center">&#x2212;4.012</td>
<td align="center">0.000</td>
<td align="center">&#x2212;0.676</td>
<td align="center">0.249</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>DF: Dickey&#x2013;Fuller.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>
<xref ref-type="table" rid="T10">Table 10</xref> reports the findings of the FMOLS and CCR models for the total West African countries and those specifically categorised within the low-income group. For the full sample, GDP/c and GDP/c<sup>2</sup> are found to exacerbate environmental degradation in West African countries, whereas FDI, Ind, and Trd have an adverse effect, as indicated in the FMOLS column. The CCR outcomes reveal similar findings to the FMOLS, but only the estimates for FDI (&#x2212;0.01), Ind (&#x2212;0.07), and Trd (&#x2212;0.01) are statistically significant at the 1% level. For the low-income countries, similar outcomes as the full sample are realised for the explanatory and control variables pertaining to their effect on EAI. However, the significantly positive impact that GDP/c (0.15) and GDP/c<sup>2</sup> (0.12) have on EAI, as shown in the FMOLS column, is corroborated by the findings of the CCR. Furthermore, the value added by industries is found to significantly mitigate EAI in the long run. Thus, on average, ceteris paribus, a unit rise in Ind will result in a decline in the value of EAI by either 0.10 or 0.11.</p>
<table-wrap id="T10" position="float">
<label>TABLE 10</label>
<caption>
<p>Low-income and lower-middle-income long-run estimates.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th rowspan="2" align="center">Variable</th>
<th colspan="4" align="center">Full</th>
<th colspan="4" align="center">Low income</th>
</tr>
<tr>
<th align="left">FMOLS</th>
<th align="left">t-stat</th>
<th align="left">CCR</th>
<th align="left">t-stat</th>
<th align="left">FMOLS</th>
<th align="left">t-stat</th>
<th align="left">CCR</th>
<th align="left">t-stat</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">GDP/c</td>
<td align="center">0.07&#x2a;&#x2a;&#x2a;</td>
<td align="center">4.47</td>
<td align="center">0.07</td>
<td align="center">0.91</td>
<td align="center">0.15&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2212;6.86</td>
<td align="center">0.15&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2212;6.41</td>
</tr>
<tr>
<td align="center">GDP/c<sup>2</sup>
</td>
<td align="center">0.06&#x2a;&#x2a;&#x2a;</td>
<td align="center">3.17</td>
<td align="center">0.05</td>
<td align="center">1.02</td>
<td align="center">0.12&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2212;3.60</td>
<td align="center">0.11&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2212;3.08</td>
</tr>
<tr>
<td align="center">FDI</td>
<td align="center">&#x2212;0.01&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2212;6.26</td>
<td align="center">&#x2212;0.01&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2212;4.62</td>
<td align="center">&#x2212;0.02</td>
<td align="center">&#x2212;0.91</td>
<td align="center">&#x2212;0.01</td>
<td align="center">&#x2212;0.59</td>
</tr>
<tr>
<td align="center">Ind</td>
<td align="center">&#x2212;0.07&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2212;13.79</td>
<td align="center">&#x2212;0.07&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2212;10.22</td>
<td align="center">&#x2212;0.10&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2212;8.72</td>
<td align="center">&#x2212;0.11&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2212;6.23</td>
</tr>
<tr>
<td align="center">Trd</td>
<td align="center">&#x2212;0.02&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2212;3.06</td>
<td align="center">&#x2212;0.01&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2212;2.88</td>
<td align="center">&#x2212;0.06&#x2a;&#x2a;&#x2a;</td>
<td align="center">2.60</td>
<td align="center">&#x2212;0.06</td>
<td align="center">1.43</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>&#x002A;, &#x002A;&#x002A;, and &#x002A;&#x002A;&#x002A; represent significance at the 10%, 5%, and 1% levels.</p>
</fn>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="s4-6">
<title>4.6 Discussion</title>
<p>This study spatially examines the correlation between environmental degradation and the role of population and economic development, coupled with the inflow of foreign investments, openness to trade, and the value industries add in West African countries. Synthesising the outcomes, this study contributes to the body of literature by empirically revealing that:<list list-type="simple">
<list-item>
<p>a. Spatial spillover effects: The presence of spatial dependencies exists, validating H<sub>2a</sub>. The Moran outcomes (<xref ref-type="table" rid="T5">Table 5</xref>; <xref ref-type="fig" rid="F6">Figure 6</xref>) and the autoregressive coefficients in <xref ref-type="table" rid="T6">Tables 6</xref> and <xref ref-type="table" rid="T7">7</xref> confirmed that the ecological sustainability of countries in West Africa is influenced by their neighbouring countries, as they are either clustered with countries sharing similar environmental traits (Burkina Faso and Niger) or surrounded by high emitters (Togo and Ghana). This corroborates with <xref ref-type="bibr" rid="B19">Jian et al.&#x2019;s (2022)</xref> argument that the ecological predicaments of developing economies are aggravated by cross-border interdependencies.</p>
</list-item>
<list-item>
<p>b. GDP effects: The dynamics of economic growth and environmental degradation are quite complex. It is found that <italic>per capita</italic> GDP and its square locally enhance the ecological sustainability of West African countries by mitigating environmental pollution, corroborating the findings of <xref ref-type="bibr" rid="B3">Alex-Oke et al. (2025)</xref>. However, a contrasting effect is realised in the long run, with the effects being more pronounced in low-income countries, substantiating the findings of <xref ref-type="bibr" rid="B28">Miao et al. (2024)</xref> and challenging the premise of income-driven decoupling. Nonetheless, these outcomes validate this study&#x2019;s hypotheses H<sub>1a</sub> and H<sub>1b</sub>. A growth in GDP funds renewable and green practices&#x2013;such as C&#xf4;te d&#x2019;Ivoire&#x2019;s climate-smart cocoa initiatives and Nigeria&#x2019;s cement plant carbon capture and storage trials&#x2013;i.e., clean energy, establishment of eco-friendly infrastructure, and reduction in GHG emissions. Still, oil and gas extraction, mineral mining, agricultural frontiers, and massive energy trade are the economic strongholds of West African countries (<xref ref-type="bibr" rid="B17">&#x130;nal et al., 2022</xref>). Countries like Nigeria reinvest oil revenues in fossil infrastructure, while agriculturally based, low-emitting countries like Burkina Faso have been diversifying their economic structure by introducing and increasing industrial processes. With these actions, high emissions get locked in for decades, resulting in a rise in GDP in tandem with GHG emissions in the long run.</p>
</list-item>
<list-item>
<p>c. External global effects: The inflow of foreign investments into West African countries is found to impact their environmental degradation adversely (<xref ref-type="table" rid="T4">Tables 4</xref>, <xref ref-type="table" rid="T7">7</xref>, and <xref ref-type="table" rid="T10">10</xref>), supporting the findings of <xref ref-type="bibr" rid="B8">Boamah et al. (2023)</xref> and the &#x201c;pollution halo&#x201d; hypothesis, which suggests that globalisation promotes green practices. Most investors contribute to the sustainability of their host country to ensure long-term returns through cleaner technology transfers and manufacturing processes. For instance, Senegal&#x2019;s wind farm reduces emissions along the country&#x2019;s coastal energy corridors; FDI into Lagos&#x2019; Blue Line Rail and Accra&#x2019;s electric buses lowers transport-related CO<sub>2</sub>; and FDI into Liberia&#x2019;s carbon credits conserves and protects the cross-border forests. Conversely, openness to trade is found to exacerbate environmental deterioration (<xref ref-type="table" rid="T4">Tables 4</xref>, <xref ref-type="table" rid="T6">6</xref>&#x2013;<xref ref-type="table" rid="T8">8</xref>), repudiating the findings of <xref ref-type="bibr" rid="B14">Espinosa Gracia et al. (2023)</xref>. Through the importation of used vehicles, West African countries introduce emission-intensive products, resulting in a rise in their emissions due to heavy fumes from exhaust pipes. Also, heavy reliance on imported products from the global North necessitates the movement of ships and vessels, which contributes to transportation-related emissions (<xref ref-type="bibr" rid="B5">Ayesu and Asaana, 2023</xref>). These insights validate H<sub>2b</sub>.</p>
</list-item>
<list-item>
<p>d. Local structural effects: Unlike <xref ref-type="bibr" rid="B8">Boamah et al. (2023)</xref> and <xref ref-type="bibr" rid="B3">Alex-Oke et al. (2025)</xref>, the value added by industries is found to affect environmental degradation in the long run negatively, whereas population density exhibits a similar effect locally, and its effects spill over to neighbouring countries, substantiating the findings of <xref ref-type="bibr" rid="B13">Erdogan (2023)</xref>. Using agricultural waste, some palm oil mills in Ghana utilise palm kernel shells as boiler fuel, while others treat their organic wastewater from the processing stage to capture CH<sub>4</sub> and use it to generate energy. The continuous application of these processes, in conjunction with new green industrial processes, helps mitigate the impact of industrial value added on ecological degradation. Population density, on the other hand, can mitigate GHGs through agglomeration effects and more efficient infrastructure, coined as &#x201c;demand-side pressure reduction&#x201d; by <xref ref-type="bibr" rid="B13">Erdogan (2023)</xref>, and these effects inherently spill over into neighbouring areas. To elaborate, population density reduces the per-unit cost of centralised infrastructure, such as electrical grids and waste management, thereby displacing the use of decentralised, high-emission sources like diesel generators and charcoal, with benefits often extending to surrounding areas.</p>
</list-item>
<list-item>
<p>e. EKC hypothesis validity: The EKC hypothesis and this study&#x2019;s H<sub>3</sub> are invalidated. For the EKC to hold, the coefficient for GDP/c must be positive, and its square must be negative. However, <xref ref-type="table" rid="T10">Table 10</xref> shows that both are positive and significant in the long run, rejecting the inverted U-shape hypothesis. This outcome challenges the EKC validation in middle-income contexts, such as Nigeria (<xref ref-type="bibr" rid="B31">Ogundipe et al., 2019</xref>), but aligns with broader African studies and global evidence that question the EKC&#x2019;s universality (<xref ref-type="bibr" rid="B16">Gyamerah and Gil-Alana, 2023</xref>; <xref ref-type="bibr" rid="B38">Voumik et al., 2022</xref>).</p>
</list-item>
</list>
</p>
<p>Overall, the discussion depicts that the EKC is not validated in West Africa for this study, where, in the long run, economic growth intensifies emissions, and globalisation&#x2019;s mitigating effect is limited. This necessitates a policy shift towards stronger regional governance, targeted green FDI, and industrial transformation to avoid locking the region into an unsustainable, emission-intensive development trajectory.</p>
</sec>
</sec>
<sec id="s5">
<title>5 Conclusion and recommendations</title>
<p>Applying data from 1994 to 2023 for West African countries, this study comprehensively estimates the validity of the EKC hypothesis in the region. Through second generation (PCADF) and non-spherical error methods (FGLS and PCSE), spatial approaches (SDM), and long-run estimators (FMOLS and CCR), the findings of the study reveal (1) the presence of spatial dependencies in the environmental degradation of countries within the region. Thus, three types of spatial associations are discovered: low-low clusters (LL), where low-EAI countries are neighbours to other low-EAI countries; low-high outliers (LH), where a low-EAI country is surrounded by high-EAI neighbours; and high-low outliers (HL), where a high-EAI country is bordered by low-EAI countries. (2) Per capita GDP and its quadratic form locally have an inverse relationship with environmental degradation, but in the long run, have a positive correlation. (3) FDI is found to boost environmental sustainability through cleaner technology transfers and manufacturing processes, supporting the pollution halo hypothesis; however, trade through the importation of emission-intensive goods and transportation-related emissions exacerbates environmental degradation. (4) Industries affect environmental degradation in the long run negatively, whereas population density exhibits a similar effect locally, and its effects spill over to neighbouring countries. (5) The inverted U-shaped correlation does not hold for West African countries, insinuating that the EKC hypothesis is not universally applicable.</p>
<sec id="s5-1">
<title>5.1 Policy recommendations</title>
<p>Based on the above conclusions, this study yields contextually grounded policy insights for West Africa as follows:<list list-type="simple">
<list-item>
<p>&#x27a2; The presence of spatial dependence insightfully shows that addressing ecological deterioration in the region demands spatially coordinated policies. By leveraging West Africa&#x2019;s diverse geography and economies of scale through regionally integrated initiatives like the ECOWAS-led WAPP (West African Power Pool) and the African Union&#x2019;s GGWSSI (Great Green Wall for the Sahara and Sahel Initiative), complemented by cross-border green infrastructure projects, countries in the region can effectively and efficiently create a pathway to decouple economic growth from emissions, rather than country-specific actions.</p>
</list-item>
<list-item>
<p>&#x27a2; The mixed impacts of FDI and trade reveal the complex pressure globalisation exerts on the region. ECOWAS as a bloc should negotiate for the reduction of tariffs on imported EGS (Environmental Goods and Services) to make the green transition cheaper and faster. Also, develop and implement green FDI screening and incentive guidelines at the regional level and offer tax breaks, fast-tracked permits, and other incentives only to foreign investments that transfer advanced, low-emission technologies and adhere to environmental longevity standards.</p>
</list-item>
<list-item>
<p>&#x27a2; As local structures, the value industries add and the density of population in the region mitigate their impact on ecological degradation through agglomeration effects and more efficient infrastructure. Therefore, policymakers should foster the development of industrial symbiosis parks. In these purpose-built hubs, the waste output of one facility serves as the raw material for another, creating a circular economy. A foundational element of this strategy is the implementation of modern, centralised waste management systems in densely populated cities. These systems are essential for capturing landfill CH<sub>4</sub> for energy generation and for supplying industries with standardised, reliable streams of recyclable materials.</p>
</list-item>
</list>
</p>
<p>The recommended measures offer a viable pathway to align the region&#x2019;s development with the SDGs (Sustainable Development Goals), facilitating a transition away from emission-intensive trajectories.</p>
</sec>
<sec id="s5-2">
<title>5.2 Limitations and future research direction</title>
<p>This study achieved its aim, but it remains limited nonetheless. Some variables&#x2019; data had to be interpolated to fill in missing spots, which may have affected the precision, suggesting that sector-specific or primary data could enhance precision in future works. Core EKC drivers are captured, but significant factors such as renewable energy adoption and urbanisation patterns were not accounted for. Methodologically, the SDM, FGLS, PCSE, FMOLS, and CCR provided robust outcomes, but they assume linearity; future studies could explore dynamic or nonlinear models to uncover more complex pathways. The exclusive focus on West Africa limits the generalisability of the findings. A comparative analysis across other African regions is essential to determine if the rejection of the EKC hypothesis is a unique feature of West Africa or a broader continental phenomenon.</p>
</sec>
</sec>
</body>
<back>
<sec sec-type="data-availability" id="s6">
<title>Data availability statement</title>
<p>The raw data supporting the conclusions of this article will be made available by the authors, without undue reservation.</p>
</sec>
<sec sec-type="author-contributions" id="s7">
<title>Author contributions</title>
<p>DT: Conceptualization, Formal Analysis, Project administration, Supervision, Validation, Writing &#x2013; original draft, Writing &#x2013; review and editing. VB: Conceptualization, Data curation, Formal Analysis, Investigation, Methodology, Resources, Software, Validation, Writing &#x2013; original draft, Writing &#x2013; review and editing. QD: Formal Analysis, Investigation, Validation, Visualization, Writing &#x2013; original draft. JB: Formal Analysis, Investigation, Visualization, Writing &#x2013; review and editing.</p>
</sec>
<sec sec-type="funding-information" id="s8">
<title>Funding</title>
<p>The author(s) declare that no financial support was received for the research and/or publication of this article.</p>
</sec>
<sec sec-type="COI-statement" id="s9">
<title>Conflict of interest</title>
<p>The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec sec-type="ai-statement" id="s10">
<title>Generative AI statement</title>
<p>The author(s) declare that no Generative AI was used in the creation of this manuscript.</p>
<p>Any alternative text (alt text) provided alongside figures in this article has been generated by Frontiers with the support of artificial intelligence and reasonable efforts have been made to ensure accuracy, including review by the authors wherever possible. If you identify any issues, please contact us.</p>
</sec>
<sec sec-type="disclaimer" id="s11">
<title>Publisher&#x2019;s note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
<fn-group>
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<p>EPA (2025). Understanding global warming potentials. United States Environmental Protection Agency. Available online at: <ext-link ext-link-type="uri" xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="https://www.epa.gov/ghgemissions/understanding-global-warming-potentials">https://www.epa.gov/ghgemissions/understanding-global-warming-potentials</ext-link>.</p>
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