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<journal-meta>
<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>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="publisher-id">1347977</article-id>
<article-id pub-id-type="doi">10.3389/fenvs.2024.1347977</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>The symmetric and asymmetric effect of financial development on ecological footprint in South Africa: ARDL and NARDL approach</article-title>
<alt-title alt-title-type="left-running-head">Khoza and Biyase</alt-title>
<alt-title alt-title-type="right-running-head">
<ext-link ext-link-type="uri" xlink:href="https://doi.org/10.3389/fenvs.2024.1347977">10.3389/fenvs.2024.1347977</ext-link>
</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Khoza</surname>
<given-names>Sibusiso</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2593443/overview"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-original-draft/"/>
<role content-type="https://credit.niso.org/contributor-roles/conceptualization/"/>
<role content-type="https://credit.niso.org/contributor-roles/formal-analysis/"/>
<role content-type="https://credit.niso.org/contributor-roles/methodology/"/>
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<contrib contrib-type="author" corresp="yes">
<name>
<surname>Biyase</surname>
<given-names>Mduduzi</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2573873/overview"/>
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<aff id="aff1">
<sup>1</sup>
<institution>School of Economics</institution>, <institution>University of Johannesburg</institution>, <addr-line>Johannesburg</addr-line>, <country>South Africa</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>Department of Media Management</institution>, <institution>University of Religions and Denominations</institution>, <addr-line>Qom</addr-line>, <country>Iran</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/1140511/overview">Zhen Liu</ext-link>, Nanjing Normal University, China</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/1702661/overview">C&#xfc;neyt Dumrul</ext-link>, Erciyes University, T&#xfc;rkiye</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1255915/overview">Abdul Majeed</ext-link>, Huanggang Normal University, China</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Mduduzi Biyase, <email>mbiyase@uj.ac.za</email>
</corresp>
</author-notes>
<pub-date pub-type="epub">
<day>24</day>
<month>04</month>
<year>2024</year>
</pub-date>
<pub-date pub-type="collection">
<year>2024</year>
</pub-date>
<volume>12</volume>
<elocation-id>1347977</elocation-id>
<history>
<date date-type="received">
<day>01</day>
<month>12</month>
<year>2023</year>
</date>
<date date-type="accepted">
<day>15</day>
<month>03</month>
<year>2024</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2024 Khoza and Biyase.</copyright-statement>
<copyright-year>2024</copyright-year>
<copyright-holder>Khoza and Biyase</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>
<bold>Introduction:</bold> The literature on the finance&#x2013;emission nexus offers conflicting conclusions. This study resolves this inconsistency by investigating the symmetric and asymmetric effect of financial development on ecological footprint in South Africa, using the Environmental Kuznets Curve framework as a guide. Given the coexistence of ecological deficits and world-class financial development systems in South Africa, it is essential to explore and evaluate potential solutions to mitigating these deficits. Our empirical analysis contributes to the body of literature on the impact of financial development and ecological footprint by using a comprehensive measure of financial development and disaggregates it into its sub-indices to provide a nuanced analysis.</p>
<p>
<bold>Method:</bold> This study employs the linear auto regressive distribution lag and nonlinear auto regressive distribution lag techniques to explore the complex interactions of financial development and ecological footprint.</p>
<p>
<bold>Results and Discussion:</bold> The findings of this research indicate that financial markets and institutions seem to have varying effects on the ecological footprint. Financial market indices promote environmental quality, while financial institutions exacerbate environmental quality. These results call for policymakers to craft a watertight process that will encourage both financial markets and institutions to allocate capital to projects that are pro-environmental.</p>
</abstract>
<kwd-group>
<kwd>financial development</kwd>
<kwd>ecological footprint</kwd>
<kwd>asymmetric</kwd>
<kwd>financial markets</kwd>
<kwd>NARDL</kwd>
</kwd-group>
<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 id="s1">
<title>1 Introduction</title>
<p>The current challenge faced by the global community is the imperative of ensuring the continuity of sustainable development (SD) for both current and subsequent generations. Addressing environmental degeneration has transitioned from low priority into a pressing necessity for global survival <xref ref-type="bibr" rid="B39">Khan et al., (2021)</xref>. Efforts to prioritise environmental deterioration suggest that global leaders are beginning to recognise and appreciate the interconnectedness between human activities and the planet and the unintended consequences. <xref ref-type="bibr" rid="B64">Shabhaz et al. (2013)</xref> argue that the view of environmental degeneration, being a problem of advanced and not emerging nations, remains invalid with respect to consequences. A momentous global rise in economic activities has led to a high demand for natural resources (land, fossil fuels, forests, fish, etc). The situation is so critical that the global footprint network has projected that 80% of global land has reached ecological deficit. Many developing countries are in a similar situation. For example, South Africa ranks 17th out of 185 countries with the highest EF (<xref ref-type="bibr" rid="B29">Global Footprint Network, 2023</xref>). <xref ref-type="bibr" rid="B20">Bowa et al., (2019)</xref> observe that South Africa ranks first of 15 economies with the highest environmental emissions within the Southern African Development Community (SADC) region.</p>
<p>Several human-related factors that contribute to environmental degradation have been investigated, with a special focus on variables such as energy-consumption patterns. More recently, <xref ref-type="bibr" rid="B2">Adams and Klobodu (2018)</xref>, <xref ref-type="bibr" rid="B12">Baloch et al. (2019)</xref>, <xref ref-type="bibr" rid="B30">Godil et al. (2020)</xref>, <xref ref-type="bibr" rid="B74">Tsaurai (2019)</xref> and <xref ref-type="bibr" rid="B37">Ju et al. (2023</xref>) have considered financial development (FD) among the crucial factors that are likely to influence environmental degeneration. As more and more countries better financially develop, they are likely to engage in unsustainable practices like the overutilisation of natural resources and environmental pollution. South Africa has taken the drastic step since the 1990s of reorganising the financial sector through a series of supervisory changes and revamps to elevate its financial infrastructure to a higher calibre (<xref ref-type="bibr" rid="B14">Bank of International Settlements BIS, 2012</xref>). Furthermore, <xref ref-type="bibr" rid="B64">Shabhaz et al. (2013)</xref> and <xref ref-type="bibr" rid="B35">Ilesanmi and Tewari (2019)</xref> posit that the financial systems of South Africa are advanced, with highly respected banking regulations rated among the top-ten nations with such sophisticated systems. South Africa clearly presents an interesting place for research, given the international dialogue concerning environmental issues and financial development.</p>
<p>While recent studies have shed more light on the relationship between FD and environmental quality, the findings remain inconclusive, with some studies demonstrating that FD increases environmental quality, whereas others claim that increased FD worsens environmental degradation. Contributing to the inconclusive findings is the fact that many prevailing studies assume a linear relationship between FD and environmental quality. For example, several studies assessing the financial development and ecological footprint nexus in South Africa assume a linear association (<xref ref-type="bibr" rid="B64">Shabhaz et al., 2013</xref>; <xref ref-type="bibr" rid="B17">Bekun et al., 2019</xref>; <xref ref-type="bibr" rid="B48">Nathaniel et al., 2019</xref>; <xref ref-type="bibr" rid="B4">Adebayo et al., 2021</xref>). Second, many of these studies rely on conventional measures of financial development (including domestic credit to GDP) and environmental quality (CO<sub>2</sub>, which only accounts for air pollution).</p>
<p>The contribution of this study is threefold. First, it uses a multi-facet measure of environmental quality, frequently referred to as &#x201c;ecological footprint&#x201d;, which considers numerous environmental indices for environment quality as a CO<sub>2</sub> proxy. Second, this study also uses a comprehensive measure of FD which offers a more nuanced analysis of financial development by allowing for factors like depth, access, and efficiency across financial institutions and markets, thereby giving specific insights into the different impacts of financial markets and financial institutions on environmental quality in South Africa. Third, this study examines the intricate dynamics that might exist beyond a simple linear relationship by employing ARDL for the linear effects and NARDL for the non-linear effects of FD to produce robust policy suggestions.</p>
<p>The structure of this research is as follows. <xref ref-type="sec" rid="s2">Section 2</xref> provides the literature review. <xref ref-type="sec" rid="s3">Section 3</xref> focuses on the technique, modelling, and data to be used. Empirical results and interpretations are explained in <xref ref-type="sec" rid="s4">Section 4</xref>. <xref ref-type="sec" rid="s5">Section 5</xref> concludes by drawing the implications of the results, recommendations for the policymakers, and the deficiencies of this research.</p>
</sec>
<sec id="s2">
<title>2 Literature</title>
<sec id="s2-1">
<title>2.1 Theoretical literature</title>
<p>The connection between FD and EF is multidimensional, with economists far from reaching a consensus as to whether FD exacerbates or improves EF (<xref ref-type="bibr" rid="B11">Awosusi et al., 2022</xref>). The view taken by some economists is that FD can reduce EF (<xref ref-type="bibr" rid="B78">UNEP, 2011</xref>; <xref ref-type="bibr" rid="B44">Majeed and Mazhar, 2019</xref>; <xref ref-type="bibr" rid="B85">Zaidi et al., 2019</xref>; <xref ref-type="bibr" rid="B49">Odhiambo, 2020</xref>; United Nations Environment Programme; <xref ref-type="bibr" rid="B87">Zhao and Yang, 2020</xref>; <xref ref-type="bibr" rid="B7">Akinsola et al., 2021</xref>; <xref ref-type="bibr" rid="B33">Hussain et al., 2022</xref>; <xref ref-type="bibr" rid="B1">Acar et al., 2023</xref>). This view is derived from many theories in this field, such as the Green Growth Theory, which suggests that FD supports and facilitates the expansion of green industries, thus implying that FD lessens EF in diverse sectors of the economy <xref ref-type="bibr" rid="B78">UNEP (2011)</xref>. The view is also partly underpinned by the ecological modernisation theory; although it is not directly related to the connection between FD and EF, it does point to a certain degree of complementary harmony between FD and environmental protection. A view held by other economists is that FD intensifies EF due to increased economic activity (<xref ref-type="bibr" rid="B2">Adams and Klobodu, 2018</xref>; <xref ref-type="bibr" rid="B48">Nathaniel et al., 2019</xref>; <xref ref-type="bibr" rid="B74">Tsaurai, 2019</xref>; <xref ref-type="bibr" rid="B39">Khan et al., 2021</xref>; <xref ref-type="bibr" rid="B84">Yang et al., 2021</xref>; <xref ref-type="bibr" rid="B22">Dada et al., 2022a</xref>; <xref ref-type="bibr" rid="B34">Hussain et al., 2023</xref>). This view is partly premised on a consumerism theory whereby improvement in economic activities can induce consumer behaviour, which in turn exacerbates EF (<xref ref-type="bibr" rid="B54">Pepper et al., 2009</xref>). Another theory that sheds some light on this view is the pollution refuge hypothesis which highlights the close links between FD and EF. According to this theory, economies that lack environmental regulations tend to have a higher EF because local industries do not bother about regulations and the unintended consequences of the production process, thus stimulating higher EF (<xref ref-type="bibr" rid="B21">Cil, 2022</xref>). Last but not least, a well-known hypothesis that underpins the finance&#x2013;emission nexus is the environmental Kuznets curve (EKC). The upward sloping portion of the EKC characteristically points to a positive relationship between economic development and environmental degradation. It is in this upward sloping part of the EKC that the financial sector appears to intensify/worsen environmental degradation by enabling more production in various sectors of the economy. The downward-sloping portion of the EKC is due to the financial sector embracing and using green and modern technologies.</p>
<p>There is an extensive recent literature that has empirically investigated the connection between FD and EF (see <xref ref-type="table" rid="T1">Table 1</xref>). Nevertheless, the findings have far from converged, which may be characterised by factors such as methodology, sample size, control variables, proxies, and countries. Thus, the empirical studies on this subject are in three distinct categories: 1) exploring the worsening effect of FD; 2) emphasising the mitigating effect; 3) analyzing nonlinear effects. These are explained below.</p>
<table-wrap id="T1" position="float">
<label>TABLE 1</label>
<caption>
<p>Summary of empirical literature. </p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">No.</th>
<th align="left">Author/title</th>
<th align="left">Region</th>
<th align="left">Period</th>
<th align="left">Technique</th>
<th align="left">Results</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td rowspan="2" align="center">1</td>
<td align="left">
<xref ref-type="bibr" rid="B76">Uddin et al. (2023)</xref>
</td>
<td rowspan="2" align="left">Developed and developing countries</td>
<td rowspan="2" align="left">2002&#x2013;2018</td>
<td rowspan="2" align="left">Panel ARDL</td>
<td rowspan="2" align="left">FD increases EF in developed and developing countries</td>
</tr>
<tr>
<td align="left">Heterogeneous role of energy utilization, financial development, and economic development in ecological footprint: How far away are developing economies from developed ones</td>
</tr>
<tr>
<td rowspan="2" align="center">2</td>
<td align="left">
<xref ref-type="bibr" rid="B53">Ozturk et al. (2023)</xref>
</td>
<td rowspan="2" align="left">South Asia countries</td>
<td rowspan="2" align="left">1971&#x2013;2018</td>
<td rowspan="2" align="left">Second-generation panel-time series</td>
<td rowspan="2" align="left">FD reduces EF.</td>
</tr>
<tr>
<td align="left">An empirical investigation of financial development and ecological footprint in South Asia: Bridging the EKC and pollution haven</td>
</tr>
<tr>
<td rowspan="2" align="center">3</td>
<td align="left">
<xref ref-type="bibr" rid="B13">Balsalobre-Lorente et al. (2023)</xref>
</td>
<td rowspan="2" align="left">APEC countries</td>
<td rowspan="2" align="left">1994&#x2013;2018</td>
<td rowspan="2" align="left">FMOLS</td>
<td rowspan="2" align="left">FD inverted U-shaped EF</td>
</tr>
<tr>
<td align="left">Exploring the linkage between financial development and ecological footprint in APEC countries: A novel view under corruption perception and environmental policy stringency</td>
</tr>
<tr>
<td rowspan="2" align="center">4</td>
<td align="left">
<xref ref-type="bibr" rid="B52">Omoke et al. (2020)</xref>
</td>
<td rowspan="2" align="left">Nigeria</td>
<td rowspan="2" align="left">1971&#x2013;2014</td>
<td rowspan="2" align="left">NARDL</td>
<td rowspan="2" align="left">FD reduces EF</td>
</tr>
<tr>
<td align="left">The impact of financial development on carbon, non-carbon, and total ecological footprint in Nigeria: new evidence from asymmetric dynamic analysis</td>
</tr>
<tr>
<td rowspan="2" align="center">5</td>
<td align="left">
<xref ref-type="bibr" rid="B61">Saud et al. (2019)</xref>
</td>
<td rowspan="2" align="left">49 One-Belt-One-Road Initiative countries</td>
<td rowspan="2" align="left">1990&#x2013;2014</td>
<td rowspan="2" align="left">PMG, ARDL</td>
<td rowspan="2" align="left">FD increases EF</td>
</tr>
<tr>
<td align="left">The role of financial development and globalization in the environment: Accounting ecological footprint indicators for selected one-belt-one-road initiative countries</td>
</tr>
<tr>
<td rowspan="2" align="center">6</td>
<td align="left">
<xref ref-type="bibr" rid="B73">Sun et al. (2023)</xref>
</td>
<td rowspan="2" align="left">South Asian countries</td>
<td rowspan="2" align="left">2000&#x2013;2018</td>
<td rowspan="2" align="left">CS-ARDL</td>
<td rowspan="2" align="left">FD inverts U-shaped EF</td>
</tr>
<tr>
<td align="left">The non-linearity between financial development and carbon footprints: the environmental roles of technological innovation, renewable energy, and foreign direct investment</td>
</tr>
<tr>
<td rowspan="2" align="center">7</td>
<td align="left">
<xref ref-type="bibr" rid="B27">Gill et al. (2022)</xref>
</td>
<td rowspan="2" align="left">Pakistan</td>
<td rowspan="2" align="left">1980&#x2013;2018</td>
<td rowspan="2" align="left">NARDL</td>
<td rowspan="2" align="left">FD increases EF</td>
</tr>
<tr>
<td align="left">The asymmetric impact of financial development on ecological footprint in Pakistan</td>
</tr>
<tr>
<td rowspan="2" align="center">8</td>
<td align="left">
<xref ref-type="bibr" rid="B1">Acar et al. (2023)</xref>
</td>
<td rowspan="2" align="left">Azerbaijan</td>
<td rowspan="2" align="left">1996&#x2013;2017</td>
<td rowspan="2" align="left">ARDL</td>
<td rowspan="2" align="left">FD reduces EF</td>
</tr>
<tr>
<td align="left">The effect of financial development and economic growth on the ecological footprint in Azerbaijan: an ARDL bound test approach with structural breaks</td>
</tr>
<tr>
<td rowspan="2" align="center">9</td>
<td align="left">
<xref ref-type="bibr" rid="B22">Dada et al. (2022a)</xref>
</td>
<td rowspan="2" align="left">South Africa</td>
<td rowspan="2" align="left">1980&#x2013;2017</td>
<td rowspan="2" align="left">ARDL NARDL</td>
<td rowspan="2" align="left">FD reduces EF.</td>
</tr>
<tr>
<td align="left">Does financial development has (a)symmetric effect on environmental quality: insights from South Africa</td>
</tr>
<tr>
<td rowspan="2" align="center">10</td>
<td align="left">
<xref ref-type="bibr" rid="B47">Muhammad et al. (2023)</xref>
</td>
<td rowspan="2" align="left">China, United States, India, Japan, Brazil, Indonesia, Mexico, Korea, Turkey, United Kingdom</td>
<td rowspan="2" align="left">1992&#x2013;2017</td>
<td rowspan="2" align="left">CCE estimator</td>
<td rowspan="2" align="left">FD increases EF</td>
</tr>
<tr>
<td align="left">The effect of financial development and economic growth on ecological footprint: evidence from top 10 emitter countries</td>
</tr>
<tr>
<td rowspan="2" align="center">11</td>
<td align="left">
<xref ref-type="bibr" rid="B58">Raza et al. (2022)</xref>
</td>
<td rowspan="2" align="left">Pakistan</td>
<td rowspan="2" align="left">1960&#x2013;2019</td>
<td rowspan="2" align="left">QARDL</td>
<td rowspan="2" align="left">FD reduces EF</td>
</tr>
<tr>
<td align="left">Asymmetric role of non-renewable energy consumption, ICT, and financial development on ecological footprints: evidence from the QARDL approach</td>
</tr>
<tr>
<td rowspan="2" align="center">12</td>
<td align="left">
<xref ref-type="bibr" rid="B86">Zhang et al. (2022)</xref>
</td>
<td rowspan="2" align="left">European Union</td>
<td rowspan="2" align="left">1980&#x2013;2019</td>
<td rowspan="2" align="left">CS-ARDL</td>
<td rowspan="2" align="left">FD increases EF</td>
</tr>
<tr>
<td align="left">How do renewable energy consumption, financial development, and technical efficiency change cause ecological sustainability in European Union countries?</td>
</tr>
<tr>
<td rowspan="2" align="center">13</td>
<td align="left">
<xref ref-type="bibr" rid="B79">Usman et al. (2023)</xref>
</td>
<td rowspan="2" align="left">Next 11 countries</td>
<td rowspan="2" align="left">1995&#x2013;2019</td>
<td rowspan="2" align="left">DCCE, AMG</td>
<td rowspan="2" align="left">FD reduces EF</td>
</tr>
<tr>
<td align="left">Disaggregated financial development and ecological sustainability: the critical role of urbanization, energy utilization, and economic growth in next 11 economies</td>
</tr>
<tr>
<td rowspan="2" align="center">14</td>
<td align="left">
<xref ref-type="bibr" rid="B23">Dada et al. (2022b)</xref>
</td>
<td rowspan="2" align="left">African countries</td>
<td rowspan="2" align="left">1991&#x2013;2017</td>
<td rowspan="2" align="left">Mean group estimator</td>
<td rowspan="2" align="left">FD increases EF</td>
</tr>
<tr>
<td align="left">On the shadow economy&#x2013;environmental sustainability nexus in Africa: the (ir)relevance of financial development</td>
</tr>
<tr>
<td rowspan="2" align="center">15</td>
<td align="left">
<xref ref-type="bibr" rid="B83">Xu et al. (2022)</xref>
</td>
<td rowspan="2" align="left">European countries</td>
<td rowspan="2" align="left">2000&#x2013;2020</td>
<td rowspan="2" align="left">FGLS, GMMRE.</td>
<td rowspan="2" align="left">FD increases EF</td>
</tr>
<tr>
<td align="left">The impact of financial development on environmental sustainability: A European perspective</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="s2-2">
<title>2.2 FD worsens EF</title>
<p>The first set of studies suggests a positive correlation between FD and EF (<xref ref-type="bibr" rid="B2">Adams and Klobodu, 2018</xref>; <xref ref-type="bibr" rid="B12">Baloch et al., 2019</xref>; <xref ref-type="bibr" rid="B74">Tsaurai, 2019</xref>; <xref ref-type="bibr" rid="B30">Godil et al., 2020</xref>; <xref ref-type="bibr" rid="B24">Dada et al., 2022c</xref>; <xref ref-type="bibr" rid="B37">Ju et al., 2023</xref>). <xref ref-type="bibr" rid="B74">Tsaurai (2019)</xref> assessed the influence of FD on CO<sub>2</sub> in West African nations employing the panel data method from 2003 to 2014. One of the conclusions centres on the pooled ordinary least squares (OLS) method whereby the local credit supplied by the financial sector led to the rise of CO<sub>2</sub>. The impact of natural resources, FD, and economic success on the EF of Malaysia from 1980 to 2019 was evaluated by <xref ref-type="bibr" rid="B39">Khan et al., 2021</xref>. That study adopted a dynamic simulated auto-regressive distribution lag method to find that FD, economic prosperity, and natural resources are behind the rise in EF. Reaching a similar conclusion, <xref ref-type="bibr" rid="B24">Dada et al. (2022c)</xref> examined the link between FD and EF in Malaysia between 1981 and 2017, utilising ARDL, fully modified OLS (FMOLS), dynamic OLS (DOLS), and canonical cointegration regression (CCR). They found that FD leads to a long-term deterioration of EF. Cross-country research by <xref ref-type="bibr" rid="B2">Adams and Klobodu (2018)</xref> examined 26 African countries for 1985 to 2011, utilizing the chow test, cross-country regression, and generalized method of moments (GMM) to discover that FD propels environmental degradation.</p>
</sec>
<sec id="s2-3">
<title>2.3 FD improves EF</title>
<p>The second collection of studies drew on claims that FD promotes EF (<xref ref-type="bibr" rid="B64">Shahbaz et al., 2013</xref>; <xref ref-type="bibr" rid="B44">Majeed and Mazhar, 2019</xref>; <xref ref-type="bibr" rid="B85">Zaidi et al., 2019</xref>; <xref ref-type="bibr" rid="B49">Odhiambo, 2020</xref>; <xref ref-type="bibr" rid="B87">Zhao and Yang, 2020</xref>; <xref ref-type="bibr" rid="B3">Adebayo et al., 2021</xref>; <xref ref-type="bibr" rid="B7">Akinsola et al., 2021</xref>; <xref ref-type="bibr" rid="B40">Kihombo et al., 2021</xref>; <xref ref-type="bibr" rid="B33">Hussain et al., 2022</xref>; <xref ref-type="bibr" rid="B1">Acar et al., 2023</xref>; <xref ref-type="bibr" rid="B80">Wang et al., 2023</xref>). <xref ref-type="bibr" rid="B64">Shahbaz et al. (2013)</xref> explored the effect of FD, economic prosperity, coal utilization, and trade liberalization on environmental performance in South Africa by employing ADRL bound test time sequence data for 1965&#x2013;2008. They revealed that an upsurge of economic prosperity led to a rise in energy discharge, while FD lessened it. <xref ref-type="bibr" rid="B31">Habiba and Xinbang (2022)</xref> evaluated the stimulus of FD on CO<sub>2</sub> for advanced and emerging economies by considering a multivariate measure of FD, FM, and FI indices for 2000&#x2013;2018. Their study employed two-stage GMM and panel data regression to reveal that FM indices reduce EF for both advanced and emerging economies, whereas FI exacerbates EF. <xref ref-type="bibr" rid="B9">Arogundade, Hassan &#x26; Bila (2022)</xref> explored the influence of the dispersion proceeds on the EF of 22 African nations using fixed effects, fixed effects instrumental variables, method of moments quantile regression, and the heterogenous Granger causality test. Some of their findings confirmed that FD has a remarkable influence in reducing the environmental deterioration impact of dispersion proceeds.</p>
<p>
<xref ref-type="bibr" rid="B44">Majeed and Mazhar (2019)</xref> assessed the effect of FD on the environment by utilizing an inclusive measure of EF for 131 nations for 1971&#x2013;2017. A panel data method was employed, including DK standard errors and GMM. They discovered that FD proxies (local lending toward private sector, local lending to private sector by banks, and local lending supplied by financial sectors) play a critical function in enhancing environmental quality. Furthermore, their analysis revealed that local lending to the private sector is more robust when likened to former proxies of FD. Lastly, <xref ref-type="bibr" rid="B80">Wang et al. (2023)</xref> assessed the impact of clean energies, advanced technology industries, and the financial boom on the EFs of developed and emerging economies for 1990&#x2013;2020. They used the GMM and panel quantile regression; their results suggest that FD improves EF in both types of economy.</p>
</sec>
<sec id="s2-4">
<title>2.4 Nonlinear influence of FD on EF</title>
<p>The last group of studies produced mixed results when assessing the connection between FD and EF (<xref ref-type="bibr" rid="B10">Ashraf et al., 2022</xref>; <xref ref-type="bibr" rid="B26">Destek and Sarkodie, 2019</xref>; <xref ref-type="bibr" rid="B61">Saud et al., 2019</xref>. <xref ref-type="bibr" rid="B61">Saud et al. (2019)</xref> explored the influence of FD and globalization on the EF of 49 designated BRI nations for 1990&#x2013;2014 using pooled means group long-term panel estimations. They found that EF increased because FD increased energy utilization, economic prosperity, and commerce in 30 nations. Inversely, FD decreased EF in 14 nations. <xref ref-type="bibr" rid="B26">Destek and Sarkodie (2019)</xref> examined the environmental Kuznet curve for EF in 11 newly industrialised economies over 1977&#x2013;2013 using the heterogeneous panel causality technique and the augmented mean group. The findings confirmed that FD reduced EF only in China, Malaysia, and Singapore.</p>
<p>Although many of the above studies (<xref ref-type="bibr" rid="B64">Shahbaz et al., 2013</xref>; <xref ref-type="bibr" rid="B2">Adams and Klobodu, 2018</xref>; <xref ref-type="bibr" rid="B12">Baloch et al., 2019</xref>; <xref ref-type="bibr" rid="B26">Destek and Sarkodie, 2019</xref>; <xref ref-type="bibr" rid="B44">Majeed and Mazhar, 2019</xref>; <xref ref-type="bibr" rid="B48">Nathaniel et al., 2019</xref>; <xref ref-type="bibr" rid="B61">Saud et al., 2019</xref>; <xref ref-type="bibr" rid="B74">Tsaurai, 2019</xref>; <xref ref-type="bibr" rid="B85">Zaidi et al., 2019</xref>; <xref ref-type="bibr" rid="B49">Odhiambo, 2020</xref>; <xref ref-type="bibr" rid="B65">Shahbaz et al., 2020</xref>; <xref ref-type="bibr" rid="B87">Zhao and Yang, 2020</xref>; <xref ref-type="bibr" rid="B4">Adebayo et al., 2021</xref>; <xref ref-type="bibr" rid="B7">Akinsola et al., 2021</xref>; <xref ref-type="bibr" rid="B39">Khan et al., 2021</xref>; <xref ref-type="bibr" rid="B40">Kihombo et al., 2021</xref>; <xref ref-type="bibr" rid="B84">Yang et al., 2021</xref>; <xref ref-type="bibr" rid="B23">Dada et al., 2022b</xref>; <xref ref-type="bibr" rid="B33">Hussain et al., 2022</xref>; <xref ref-type="bibr" rid="B1">Acar et al., 2023</xref>; <xref ref-type="bibr" rid="B34">Hussain et al., 2023</xref>; <xref ref-type="bibr" rid="B80">Wang et al., 2023</xref>) analyzed the linear relationship between FD and the EF, very few studied the asymmetric nexus between these variables (<xref ref-type="bibr" rid="B27">Gill et al., 2022</xref>; <xref ref-type="bibr" rid="B30">Godil et al., 2020</xref>; <xref ref-type="bibr" rid="B38">Karasoy, 2019</xref>; <xref ref-type="bibr" rid="B41">Lahiani, 2019</xref>; <xref ref-type="bibr" rid="B43">Ling et al., 2021</xref>; <xref ref-type="bibr" rid="B46">Mensah and Abdul-Mumuni, 2022</xref>; <xref ref-type="bibr" rid="B52">Omoke et al., 2020</xref>; <xref ref-type="bibr" rid="B66">Shahbaz et al., 2016</xref>). The NARDL methodology eases the assumption of linearity and advocates for asymmetry among the measured variables (<xref ref-type="bibr" rid="B69">Shin et al., 2011</xref>). Other related empirical studies that have employed NARDL include the work of <xref ref-type="bibr" rid="B52">Omoke et al. (2020)</xref> in Nigeria, <xref ref-type="bibr" rid="B41">Lahiani, (2019)</xref> in China, <xref ref-type="bibr" rid="B38">Karasoy (2019)</xref> in Turkey, <xref ref-type="bibr" rid="B27">Gill et al. (2022)</xref> in Pakistan, and <xref ref-type="bibr" rid="B46">Mensah and Abdul-Mumuni (2022)</xref> in sub-Saharan Africa.</p>
<p>What emerges from the above literature review is that the findings on the finance&#x2013;emission nexus have not yet converged, posing great difficulties in formulating a consistent environmental management policy for all countries. Part of the reason why these findings have not yet converged is that they assume a linear association between FD and emissions and use different sets of proxies and techniques for environmental quality and FD, thereby validating the need for a more nuanced account of the effect of FD on environmental quality. While this study is not the first to evaluate the asymmetrical influence of FD on environmental quality in emerging economies, the limitation of existing investigations (<xref ref-type="bibr" rid="B41">Lahiani, 2019</xref>; <xref ref-type="bibr" rid="B74">Tsaurai, 2019</xref>; <xref ref-type="bibr" rid="B31">Habiba and Xinbang, 2022</xref>; <xref ref-type="bibr" rid="B33">Hussain et al., 2022</xref>; <xref ref-type="bibr" rid="B45">Manigandan et al., 2022</xref>; <xref ref-type="bibr" rid="B82">Wu et al., 2022</xref>; <xref ref-type="bibr" rid="B34">Hussain et al., 2023</xref>; <xref ref-type="bibr" rid="B51">Ofori et al., 2023</xref>; <xref ref-type="bibr" rid="B56">Qalati et al., 2023</xref>; <xref ref-type="bibr" rid="B57">Raihan, 2023</xref>) is that they rely heavily on CO<sub>2</sub> emissions, which only account for air pollution but not problems for water, soil, and other aspects of the environment. Moreover, some of these studies also rely on traditional measures of FD, thereby ignoring multifaceted measures of FD which allow for aspects like depth, access, and efficiency across financial institutions and markets.</p>
<p>Considering this gap, this study advances the literature by examining a comprehensive measure of FD and disaggregates it into its sub-indices to provide a nuanced analysis, helping the reader to appreciate how components of FD affect EF. Second, this study used ARDL for the linear effects and NARDL for non-linear effects of FD to produce robust policy suggestions. In bridging these gaps, this empirical work aims to add to the present body of knowledge by raising the following questions: 1) Is the FD-EF nexus asymmetric in South Africa? 2) Does the disaggregated FD (FM and FI) have the same impact on EF?</p>
</sec>
</sec>
<sec sec-type="methods" id="s3">
<title>3 Methodology</title>
<p>This section covers the technique that was employed to establish both the short- and long-term influence of FD on EF in South Africa. It contains data and variables, model specification, and estimation methods.</p>
<sec id="s3-1">
<title>3.1 Data and variables</title>
<p>This research utilized 38-year time-series dataset for 1980&#x2013;2018. The rationale for using this timeframe is that 1980 marks the beginning of numerous variables for South Africa while 2018 was chosen as the end of the period due to the unavailability of data for some variables. EF presented as the dependent variable denoting &#x201c;ecological footprint&#x201d; (constant <italic>per capita</italic>) and assessed by means of a consumer-based method and measured in global hectares (gha) <italic>per capita</italic> (See <xref ref-type="table" rid="T2">Table 2</xref>). The core explanatory variables were financial market, financial institution development indices, and overall financial development (FM, FI, and FD) established by the <xref ref-type="bibr" rid="B36">International Monetary Fund (2019)</xref>. The justification for this index is that it accounts for the complex multifaceted nature of financial development which traditional measures do not consider. The other control variables were chosen because they have been commonly used as covariates in preceding studies. We controlled for gross domestic product per capita&#x2014;GDP divided by population (constant 2010 US$)&#x2014;and ENUSE&#x2014;energy use <italic>per capita</italic> (measured in kg of oil equivalent <italic>per capita</italic>) &#x2014;following <xref ref-type="bibr" rid="B4">Adebayo et al. (2021)</xref>, <xref ref-type="bibr" rid="B9">Arogundade et al. (2022)</xref>, <xref ref-type="bibr" rid="B48">Nathaniel et al. (2019)</xref>, <xref ref-type="bibr" rid="B52">Omoke et al. (2020)</xref>, and <xref ref-type="bibr" rid="B64">Shabhaz et al. (2013)</xref>. To obtain dependable results, all proxies were converted into natural logarithms in order to reduce variability and make data move closer to normal distribution. The EF variable is obtained from global footprint network (GFN), financial development from the International Monetary Fund (IMF), and gross domestic product <italic>per capita</italic> and energy use from the World Development Indicators.</p>
<table-wrap id="T2" position="float">
<label>TABLE 2</label>
<caption>
<p>Summary of variables.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">Variable</th>
<th align="center">Measurement</th>
<th align="center">Source</th>
<th align="center">Expected sign</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">Ecological footprint</td>
<td align="left">Global hectare per person (gha)</td>
<td align="left">Global Footprint Network</td>
<td align="left">Dependent variable</td>
</tr>
<tr>
<td rowspan="3" align="left">Financial development</td>
<td align="left">FD Index</td>
<td rowspan="3" align="left">International Monetary Fund</td>
<td rowspan="3" align="left">Ambiguous</td>
</tr>
<tr>
<td align="left">FM Index</td>
</tr>
<tr>
<td align="left">FI Index</td>
</tr>
<tr>
<td align="left">Gross domestic product <italic>per capita</italic>
</td>
<td align="left">GDP <italic>per capita</italic>
</td>
<td align="left">World Development Indicators</td>
<td align="left">Ambiguous</td>
</tr>
<tr>
<td align="left">Energy use</td>
<td align="left">Kg oil equivalent <italic>per capita</italic>
</td>
<td align="left">World Development Indicators</td>
<td align="left">Positive</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>The main intent of this research was to assess the asymmetric effect of FD on EF in South Africa. Several studies have used FD as the proxy for evaluating its influence on EF (<xref ref-type="bibr" rid="B64">Shabhaz et al., 2013</xref>; <xref ref-type="bibr" rid="B48">Nathaniel et al., 2019</xref>; <xref ref-type="bibr" rid="B40">Kihombo et al., 2021</xref>; <xref ref-type="bibr" rid="B27">Gill et al., 2022</xref>; <xref ref-type="bibr" rid="B82">Wu et al., 2022</xref>). The relationship between FD, FM, FI, GDP, ENUSE, and EF is presented in the following functional form.</p>
</sec>
<sec id="s3-2">
<title>3.2 Model specifications</title>
<p>Equation <xref ref-type="disp-formula" rid="e1">1</xref> regresses EF on the aggregated measure of FD, which combines FM and FI. Eqs <xref ref-type="disp-formula" rid="e1a">1a</xref> and <xref ref-type="disp-formula" rid="e1b">1b</xref> regress EF on the unbundled measure of FD (FM and FI).<disp-formula id="e1">
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<p>In this case, EF depicts the ecological footprint in time <italic>t</italic>, FD represents financial development in that time, GDPPC denotes GDP <italic>per capita</italic>, and ENEUSE shows energy use. <inline-formula id="inf1">
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<label>(2)</label>
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<p>Equation <xref ref-type="disp-formula" rid="e2">2</xref> has the advantage of providing a combination of short- and long-term estimates in the same equation. In addition, ARDL estimates can be utilized even if the integration order is I (1), I (0), or a mix of both. The coefficients along with <inline-formula id="inf6">
<mml:math id="m10">
<mml:mrow>
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</inline-formula> demonstrate the short-term estimates, <inline-formula id="inf7">
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<mml:mo>,</mml:mo>
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<mml:mtext>&#x2009;</mml:mtext>
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<mml:mtext>&#x2009;</mml:mtext>
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</inline-formula> symbolize long-term estimates, and <inline-formula id="inf8">
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</inline-formula> represents a residual term. On the long-term estimation, the primary step is to assess the level of cointegration among variables. This study investigated the joint significance of lagged level variables by adopting the F-statistics test as recommended by <xref ref-type="bibr" rid="B55">Pesaran et al. (2001)</xref>. When the calculated bound test value exceeds the critical values, it indicates that the variables are integrated, confirming the long-term relationship. Inversely, when the bound test F statistic is lower than the critical values, it suggests that there is no long-term relationship between variables. This study also applied the double unit root tests of augmented Dickey&#x2013;Fuller (ADF) and Ng Perron to determine stationarity. Ng Perron was adopted to further augment the ADF, which assumes a constant or linear trend, whereas Ng Perron permits a more flexible modelling approach to detect mobility in time-series data.</p>
<p>Furthermore, the research assessed the non-linear influence of FD on the EF to determine whether positive and negative shocks have the same impact. The study employed the non-linear ARDL econometric structure recommended by <xref ref-type="bibr" rid="B70">Shin et al. (2014)</xref>. This methodology assesses the asymmetric effect which shows a combination of positive and negative shocks of the respective variable(s). The NARDL methodology has been extensively used in environmental economics (<xref ref-type="bibr" rid="B52">Omoke et al., 2020</xref>; <xref ref-type="bibr" rid="B25">Das and McFarlane, 2021</xref>; <xref ref-type="bibr" rid="B43">Ling et al., 2021</xref>; <xref ref-type="bibr" rid="B24">Dada et al., 2022c</xref>; <xref ref-type="bibr" rid="B18">Biyase and Naidoo, 2023</xref>). Moreover, a nonlinear auto regressive distributed lag model was chosen over other econometric methods since the former can capture the multifaceted, nonlinear relationships which are regularly detected in time-series data, thereby yielding a true picture of real-world dynamics compared to simple linear models. It can also cope with various econometric problems such as asymmetries and structural breaks, allowing the robust analysis of economic data.</p>
<p>In this study, FD was the core explanatory variable disaggregated into a positive and negative shock. The functional form is as follows:<disp-formula id="e3">
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<label>(3)</label>
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<label>(4)</label>
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<p>Eqs <xref ref-type="disp-formula" rid="e3">3</xref>, <xref ref-type="disp-formula" rid="e4">4</xref> demonstrate variables in partial sum, while Eq. <xref ref-type="disp-formula" rid="e5">5</xref> considers NARDL. To signify the NARDL equation, two partial variables are replaced in Eq. <xref ref-type="disp-formula" rid="e2">2</xref>, resulting in Eq. <xref ref-type="disp-formula" rid="e5">5</xref> below.<disp-formula id="e5">
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</mml:math>
<label>(5)</label>
</disp-formula>
</p>
<p>The study conducted diagnostic tests which ascertained the validity of the coefficients used, and furthermore determined whether the models are favourable for interpretation. The Breusch&#x2013;Godfrey test was used to detect autocorrelation in the regression models. A normality test was conducted using Jarque&#x2013;Bera. The BDS test was carried out to validate the non-linearity attributes of all variables. Furthermore, CUSUM and CUSUMSQ tests were performed to determine the stability of coefficient stability. Lastly, for robustness, this paper also adopted the fully modified ordinary least squares (FMOLS), dynamic OLS (DOLS), and canonical cointegrating regression (CCR).</p>
</sec>
</sec>
<sec id="s4">
<title>4 Empirical analysis</title>
<sec id="s4-1">
<title>4.1 Data and descriptive statistics</title>
<p>The descriptive statistics given in <xref ref-type="table" rid="T3">Table 3</xref> above show that most of the proxies used in this study&#x2014;EF, FI, and FD index&#x2014;were relatively stable, which is shown by the values of the standard deviations, which are close to 0. However, GDP demonstrates a higher variability since the standard deviations are distant from 0.</p>
<table-wrap id="T3" position="float">
<label>TABLE 3</label>
<caption>
<p>Definition of variables and descriptive statistics.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Variables</th>
<th align="left">Definition</th>
<th align="left">Mean</th>
<th align="left">Maximum</th>
<th align="left">Minimum</th>
<th align="left">Std. Dev</th>
<th align="left">Source</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">EF</td>
<td align="left">EF</td>
<td align="left">1.230864</td>
<td align="left">1.405326</td>
<td align="left">1.098079</td>
<td align="left">0.069961</td>
<td align="left">GFN</td>
</tr>
<tr>
<td align="left">FD</td>
<td align="left">FD Index</td>
<td align="left">&#x2212;0.87673</td>
<td align="left">&#x2212;0.51283</td>
<td align="left">&#x2212;1.20806</td>
<td align="left">0.243469</td>
<td align="left">IMF</td>
</tr>
<tr>
<td align="left">FM</td>
<td align="left">FM Index</td>
<td align="left">&#x2212;1.36102</td>
<td align="left">&#x2212;0.73375</td>
<td align="left">&#x2212;2.18756</td>
<td align="left">0.507547</td>
<td align="left">IMF</td>
</tr>
<tr>
<td align="left">FI</td>
<td align="left">FI Index</td>
<td align="left">&#x2212;0.59938</td>
<td align="left">&#x2212;0.30149</td>
<td align="left">&#x2212;0.7745</td>
<td align="left">0.145817</td>
<td align="left">IMF</td>
</tr>
<tr>
<td align="left">GDPPC</td>
<td align="left">GDP <italic>per capita</italic>
</td>
<td align="left">25.82125</td>
<td align="left">26.85057</td>
<td align="left">24.8022</td>
<td align="left">0.600593</td>
<td align="left">WDI</td>
</tr>
<tr>
<td align="left">ENEUSE</td>
<td align="left">Energy-use</td>
<td align="left">7.816803</td>
<td align="left">7.97394</td>
<td align="left">7.659773</td>
<td align="left">0.074515</td>
<td align="left">WDI</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="s4-2">
<title>4.2 Unit roots tests</title>
<p>The research performed some pre-estimation tests which were necessary to make the estimations possible and the results dependable. The ADF and Phillips Parron tests were employed to check for stationarity. The null hypothesis for the tests was that there is a unit, meaning that the series is non-stationary against the alternative hypothesis that the variable is stationary. As a rule of thumb, a null hypothesis is rejected when the test statistic is above the critical values at 10%, 5%, and 1%. <xref ref-type="table" rid="T4">Table 4</xref> summaries the test results conducted.</p>
<table-wrap id="T4" position="float">
<label>TABLE 4</label>
<caption>
<p>Unit root tests.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left"/>
<th colspan="2" align="left">Augmented Dickey&#x2013;Fuller</th>
<th colspan="4" align="center">Phillips&#x2013;Perron</th>
</tr>
<tr>
<th align="center">Variables</th>
<th align="center">Level</th>
<th align="center">1st diff</th>
<th align="center">Order</th>
<th align="center">Level</th>
<th align="center">1st diff</th>
<th align="center">Order</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">LEF</td>
<td align="left">&#x2212;2.12</td>
<td align="left">&#x2212;5.57&#x2a;&#x2a;&#x2a;</td>
<td align="left">I (1)</td>
<td align="left">&#x2212;2.28</td>
<td align="left">&#x2212;5.81&#x2a;&#x2a;&#x2a;</td>
<td align="left">I (1)</td>
</tr>
<tr>
<td align="left">LFD</td>
<td align="left">0.2</td>
<td align="left">&#x2212;5.7&#x2a;&#x2a;&#x2a;</td>
<td align="left">I (1)</td>
<td align="left">0.11</td>
<td align="left">&#x2212;5.7&#x2a;&#x2a;&#x2a;</td>
<td align="left">I (1)</td>
</tr>
<tr>
<td align="left">LFM</td>
<td align="left">&#x2212;0.47</td>
<td align="left">&#x2212;5.49&#x2a;&#x2a;&#x2a;</td>
<td align="left">I (1)</td>
<td align="left">&#x2212;0.52</td>
<td align="left">&#x2212;5.49&#x2a;&#x2a;&#x2a;</td>
<td align="left">I (1)</td>
</tr>
<tr>
<td align="left">LFI</td>
<td align="left">0.06</td>
<td align="left">&#x2212;6.7&#x2a;&#x2a;&#x2a;</td>
<td align="left">I (1)</td>
<td align="left">0.15</td>
<td align="left">&#x2212;6.79&#x2a;&#x2a;&#x2a;</td>
<td align="left">I (1)</td>
</tr>
<tr>
<td align="left">LGDPPC</td>
<td align="left">&#x2212;4.26&#x2a;&#x2a;&#x2a;</td>
<td align="left"/>
<td align="left">I (0)</td>
<td align="left">&#x2212;4.25&#x2a;&#x2a;&#x2a;</td>
<td align="left"/>
<td align="left">I (0)</td>
</tr>
<tr>
<td align="left">LENEUSE</td>
<td align="left">&#x2212;1.78</td>
<td align="left">&#x2212;5.35&#x2a;&#x2a;&#x2a;</td>
<td align="left">I (1)</td>
<td align="left">&#x2212;1.98</td>
<td align="left">&#x2212;5.35&#x2a;&#x2a;&#x2a;</td>
<td align="left">I (1)</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>Critical values 1% &#x3d; &#x2212;3.62, 5% &#x3d; &#x2212;2.94, 10% &#x3d; &#x2212;2.6.</p>
</fn>
<fn>
<p>Note (s) &#x2a;&#x2a;&#x2a;, &#x2a;&#x2a;, and &#x2a; denote 1, 5, and 10%, respectively.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>The outcomes of both tests are in harmony, ascertaining that the series in the study are both I (0) and I (1) variables. Moreover, the null hypothesis of the unit root was not rejected because all variables except GDPCC are stationary at level, and stationary variables become stationary after the first difference. The results of the unit root test validate the adoption of the ARDL model, as no variable is beyond I (1).</p>
</sec>
<sec id="s4-3">
<title>4.3 ARDL and NARDL bound test for cointegration</title>
<p>
<xref ref-type="table" rid="T5">Table 5</xref> depicts the F-statistics and findings of the diagnostic tests of the model specifications for assessing the impact of FD, GDP, and energy use on EF. Three specifications concerning linear ARDL bounds tests were undertaken in this study. The outcomes for all models reveal that the F-statistics for the models are significantly larger than the upper bound. Consequently, these findings point to the rejection of the null hypothesis and acceptance of the alternative, according to which there is a long-term correlation between EF, FD, FM, FI, GDP <italic>per capita</italic>, and energy use in South Africa.</p>
<table-wrap id="T5" position="float">
<label>TABLE 5</label>
<caption>
<p>FD index&#x2013;Results of ARDL cointegration test.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Specification</th>
<th align="left">Results</th>
<th align="left">Period</th>
<th align="left">Optimal lag</th>
<th align="left">F-statistic</th>
</tr>
<tr>
<th align="left">
<inline-formula id="inf9">
<mml:math id="m16">
<mml:mrow>
<mml:mi>I</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>E</mml:mi>
<mml:mi>F</mml:mi>
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<mml:mrow>
<mml:mfenced open="{" close="}" separators="|">
<mml:mrow>
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<mml:mi>n</mml:mi>
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<mml:mi>E</mml:mi>
<mml:mi>U</mml:mi>
<mml:mi>S</mml:mi>
<mml:mi>E</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
<th align="left"/>
<th align="left">1980&#x2013;2018</th>
<th align="left">ARDL (3,5,5,5)</th>
<th align="right">7.32&#x2a;&#x2a;&#x2a;</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td colspan="2" align="left">Diagnostic tests</td>
<td rowspan="7" align="left"/>
<td rowspan="7" align="left"/>
<td rowspan="10" align="left"/>
</tr>
<tr>
<td align="left">Durbin&#x2013;Watson stat</td>
<td align="right">2.19</td>
</tr>
<tr>
<td align="left">Jarque&#x2013;Bera normality test</td>
<td align="right">0.07</td>
</tr>
<tr>
<td align="left">BG serial correlation LM test (F-statistic)</td>
<td align="right">0.64</td>
</tr>
<tr>
<td align="left">BG serial correlation LM test (R-squared)</td>
<td align="right">0.32</td>
</tr>
<tr>
<td align="left">Heteroskedasticity test: ARCH</td>
<td align="right">0.50</td>
</tr>
<tr>
<td align="left">Ramsey RESET test</td>
<td align="right">0.08</td>
</tr>
<tr>
<td align="left">Critical value bounds</td>
<td align="right">1%</td>
<td align="right">5%</td>
<td align="right">10%</td>
</tr>
<tr>
<td align="left">I0 Bound</td>
<td align="right">4.29</td>
<td align="right">3.23</td>
<td align="right">2.72</td>
</tr>
<tr>
<td align="left">I1 Bound</td>
<td align="right">5.61</td>
<td align="right">4.35</td>
<td align="right">3.77</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>
<xref ref-type="table" rid="T5">Table 5</xref> also exhibits outcomes of the diagnostic tests, demonstrating that the model has successfully passed all the tests: Durbin&#x2013;Watson stat, Jarque&#x2013;Bera normality test, BG serial correlation LM test (F-statistic), BG serial correlation LM test (R-squared), heteroskedasticity test: (ARCH), and Ramsey RESET test.</p>
<p>The non-linear ARDL F-statistics (<xref ref-type="table" rid="T6">Table 6</xref>) were also found to be higher than the upper bounds at all levels (1%, 5%, and 10%), indicating that there is a long-term relationship between EF, FD, FM, FI, and GDP <italic>per capita</italic>, including energy use in South Africa. To ascertain the linearity of the parameters, the study utilized the BDS test initiated by Broock et al. (1996) to capture non-linearity. The results for the BDS test are shown in <xref ref-type="table" rid="T7">Table 7</xref> in the appendix, demonstrating that the variables have nonlinearities. These results allow us to employ non-linear ARDL to examine the relationship between financial development and ecological footprint.</p>
<table-wrap id="T6" position="float">
<label>TABLE 6</label>
<caption>
<p>FD index&#x2013;Results of non-linear ARDL cointegration test.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th rowspan="2" align="left">Specification</th>
<th rowspan="2" align="left">Results</th>
<th align="left">Period</th>
<th align="left">Optimal lag</th>
<th align="left">F-statistic</th>
</tr>
<tr>
<th align="left">1980&#x2013;2018</th>
<th align="left">ARDL (1,5,5,5,4,4)</th>
<th align="left">7.370&#x2a;</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">Diagnostic tests</td>
<td align="left"/>
<td rowspan="7" align="left"/>
<td rowspan="7" align="left"/>
<td rowspan="10" align="left"/>
</tr>
<tr>
<td align="left">Durbin&#x2013;Watson stat</td>
<td align="left">2.08</td>
</tr>
<tr>
<td align="left">Jarque&#x2013;Bera normality test</td>
<td align="left">0.50</td>
</tr>
<tr>
<td align="left">BG serial correlation LM test (F-statistic)</td>
<td align="left">0.79</td>
</tr>
<tr>
<td align="left">BG serial correlation LM test (R-squared)</td>
<td align="left">0.46</td>
</tr>
<tr>
<td align="left">Heteroskedasticity test: ARCH</td>
<td align="left">0.62</td>
</tr>
<tr>
<td align="left">Ramsey RESET test</td>
<td align="left">0.26</td>
</tr>
<tr>
<td align="left">Critical value bounds</td>
<td align="left">1%</td>
<td align="left">5%</td>
<td align="left">10%</td>
</tr>
<tr>
<td align="left">I0 Bound</td>
<td align="left">3.74</td>
<td align="left">2.86</td>
<td align="left">2.45</td>
</tr>
<tr>
<td align="left">I1 Bound</td>
<td align="left">5.06</td>
<td align="left">4.01</td>
<td align="left">3.52</td>
</tr>
</tbody>
</table>
</table-wrap>
<table-wrap id="T7" position="float">
<label>TABLE 7</label>
<caption>
<p>BDS statistics test&#x2013;asymmetry (FD, FM, and FI).</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Variables</th>
<th align="left">Dim 2</th>
<th align="left">Dim 3</th>
<th align="left">Dim 4</th>
<th align="left">Dim 5</th>
<th align="left">Dim 6</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">LFD</td>
<td align="left">0.179536&#x2a;&#x2a;&#x2a;</td>
<td align="left">0.295806&#x2a;&#x2a;&#x2a;</td>
<td align="left">0.368224&#x2a;&#x2a;&#x2a;</td>
<td align="left">0.412687&#x2a;&#x2a;&#x2a;</td>
<td align="left">0.44711&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left">LFM</td>
<td align="left">0.153965&#x2a;&#x2a;&#x2a;</td>
<td align="left">0.249066&#x2a;&#x2a;&#x2a;</td>
<td align="left">0.31044&#x2a;&#x2a;&#x2a;</td>
<td align="left">0.345179&#x2a;&#x2a;&#x2a;</td>
<td align="left">0.369091&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left">LFI</td>
<td align="left">0.167391&#x2a;&#x2a;&#x2a;</td>
<td align="left">0.275583&#x2a;&#x2a;&#x2a;</td>
<td align="left">0.340312&#x2a;&#x2a;&#x2a;</td>
<td align="left">0.374987&#x2a;&#x2a;&#x2a;</td>
<td align="left">0.391429&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left">LGDPPC</td>
<td align="left">0.171267&#x2a;&#x2a;&#x2a;</td>
<td align="left">0.281327&#x2a;&#x2a;&#x2a;</td>
<td align="left">0.349574&#x2a;&#x2a;&#x2a;</td>
<td align="left">0.389089&#x2a;&#x2a;&#x2a;</td>
<td align="left">0.413347&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left">LENEUSE</td>
<td align="left">0.098878&#x2a;&#x2a;&#x2a;</td>
<td align="left">0.170031&#x2a;&#x2a;&#x2a;</td>
<td align="left">0.203428&#x2a;&#x2a;&#x2a;</td>
<td align="left">0.19418&#x2a;&#x2a;&#x2a;</td>
<td align="left">0.170286&#x2a;&#x2a;&#x2a;</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>Note: &#x2a;&#x2a;&#x2a;, &#x2a;&#x2a;, and &#x2a; denote significance at 1%, 5%, and 10%, respectively.</p>
</fn>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="s4-4">
<title>4.4 ADRL and NARDL long and short run results</title>
<sec id="s4-4-1">
<title>4.4.1 NARDL long and short run results</title>
<p>The cointegration examination confirmed that the series under study do in fact have a long-term correlation, which then leads to the goal of the analysis: presenting the empirical results on the effect of FD, economic growth, and energy-use on EF. Three estimated ARDL models are shown in <xref ref-type="table" rid="T8">Table 8</xref> (Models 1&#x2013;3). Model 1 shows the estimates of the influence of the FD index on EF, accounting for control variables. Model 2 is the regression of EF on the FM index and the other control variables, while Model 3 expresses EF as the dependent variable, and the FI index as the independent variable of interest and the other variables&#x2014;gross domestic product <italic>per capita</italic> and energy-use as regressors.</p>
<table-wrap id="T8" position="float">
<label>TABLE 8</label>
<caption>
<p>ADRL long- and short-run results.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th colspan="7" align="left">Panel A long-run results</th>
</tr>
<tr>
<th align="left"/>
<th colspan="2" align="center">Model 1(FD)</th>
<th colspan="2" align="center">Model 2 (FM)</th>
<th colspan="2" align="center">Model 3 (FI)</th>
</tr>
<tr>
<th align="left">Variable</th>
<th align="left">Coefficient</th>
<th align="left">Std. Error</th>
<th align="left">Coefficient</th>
<th align="left">Std. Error</th>
<th align="left">Coefficient</th>
<th align="left">Std. Error</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">LFD</td>
<td align="left">&#x2212;0.127928</td>
<td align="left">0.061625</td>
<td align="left">&#x2212;0.057830</td>
<td align="left">0.021078</td>
<td align="left">0.361406</td>
<td align="left">0.079505</td>
</tr>
<tr>
<td align="left">LGDPPC</td>
<td align="left">0.020545</td>
<td align="left">0.023694</td>
<td align="left">0.014650</td>
<td align="left">0.017556</td>
<td align="left">&#x2212;0.062911</td>
<td align="left">0.025250</td>
</tr>
<tr>
<td align="left">LENUSE</td>
<td align="left">0.828875</td>
<td align="left">0.125558</td>
<td align="left">0.758981</td>
<td align="left">0.107556</td>
<td align="left">0.392112</td>
<td align="left">0.085500</td>
</tr>
<tr>
<td colspan="7" align="left">Panel B Short-run results</td>
</tr>
<tr>
<td align="left">D (LEF (-1))</td>
<td align="left">0.109595</td>
<td align="left">0.235426</td>
<td rowspan="8" colspan="4" align="left"/>
</tr>
<tr>
<td align="left">D (LEF (-2))</td>
<td align="left">0.560502</td>
<td align="left">0.214915</td>
</tr>
<tr>
<td align="left">D (LFD)</td>
<td align="left">&#x2212;0.146162</td>
<td align="left">0.087711</td>
</tr>
<tr>
<td align="left">D (LGDPPC)</td>
<td align="left">0.023473</td>
<td align="left">0.028736</td>
</tr>
<tr>
<td align="left">D (LENUSE)</td>
<td align="left">0.825806</td>
<td align="left">0.215743</td>
</tr>
<tr>
<td align="left">D (LENUSE(-1))</td>
<td align="left">0.077205</td>
<td align="left">0.301206</td>
</tr>
<tr>
<td align="left">D (LENUSE(-2))</td>
<td align="left">&#x2212;0.335206</td>
<td align="left">0.212551</td>
</tr>
<tr>
<td align="left">CointEq (-1)</td>
<td align="left">&#x2212;1.142537</td>
<td align="left">0.296881</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>Model 1 of <xref ref-type="table" rid="T8">Table 8</xref> shows that the slope coefficient of the FD index is negative (LFD &#x3d; &#x2212;0.12) and statistically significant at 5% level; thus, holding other variables constant, FD will promote environmental quality. This result supports the ecological modernization theory, which suggests that the transition to a contemporary way of life results in an awareness of environmental protection and the adoption of efficient and clean energy use. As FD advances in different forms, one of which lends incentive for projects that are environmentally friendly, EF will improve. This outcome is also backed by the empirical literature of <xref ref-type="bibr" rid="B44">Majeed and Mazhar (2019)</xref> and <xref ref-type="bibr" rid="B33">Hussain et al. (2022)</xref>, who discovered that FD helps improve environmental quality by reducing EF. Furthermore, their findings affirm the role of green finance in managing environmental pollution. When controlling for the GDP <italic>per capita</italic> coefficient, the study found it to be positive and statistically insignificant in the long run, which is coherent with <xref ref-type="bibr" rid="B15">Baz et al. (2020)</xref> who found a neutral effect for GDP on environmental quality. The energy-use coefficient was found to be positive and statistically at 1% level, which was expected. This result implies that a unit rise in energy use is associated with degrading environmental quality by 0.82%. This outcome confirms <xref ref-type="bibr" rid="B19">Boutabba (2014)</xref>, who discovered that energy use has a positive long-term connection with CO<sub>2</sub> in India. However, this does not support <xref ref-type="bibr" rid="B48">Nathaniel et al. (2019)</xref>, who found that energy use has a negative relationship with FD in South Africa. The findings in Panel B indicate that ECT of 1.14 is negative and significant, showing that 114% of the long-term disequilibrium is recovered in a year.</p>
<p>Model 2 of <xref ref-type="table" rid="T8">Table 8</xref> shows that the slope coefficient of FM is negative (LFM &#x3d; &#x2212;0.05) and statistically significant at 5% level. This suggests that, by holding other variables constant, FM will promote environmental quality. GDP again yields an insignificant positive impact on EF. Like Model 1 of <xref ref-type="table" rid="T8">Table 8</xref>, the energy-use coefficient depicts a positive sign and is statistically significant at 1% level, suggesting that a unit increase in energy use is linked with deteriorating environmental quality by 0.75%, aligning with many other studies in this field (<xref ref-type="bibr" rid="B44">Majeed and Mazhar, 2019;</xref> <xref ref-type="bibr" rid="B59">Rjoub et al., 2021)</xref> that established that energy use has a positive relationship with EF. Model 3 of <xref ref-type="table" rid="T8">Table 8</xref> depicts that the slope coefficient of FI is positive (LFI &#x3d; &#x2212;0.36) and statistically supported at a 5% level. This suggests that, by holding other variables constant, FM will deteriorate environmental quality. At a 1% level, GDP has a negative considerable influence on EF. These findings confirmed the conclusions of other studies, such as <xref ref-type="bibr" rid="B26">Destek and Sarkodie, (2019)</xref>, that found evidence to suggest that real GDP contributes to reducing the EF in Turkey, South Korea, India, Thailand, and China, thus improving environmental quality. Lastly, the energy-use coefficient is positive at 0.40% and statistically significant in the long-term, backing up <xref ref-type="bibr" rid="B52">Omoke et al. (2020)</xref>.</p>
</sec>
<sec id="s4-4-2">
<title>4.4.2 NARDL long- and short-term results</title>
<p>We now proceed to consider whether financial development has a nonlinear effect on ecological footprint, employing the non-linear ARDL model. <xref ref-type="table" rid="T9">Table 9</xref> demonstrates NARDL and long- and short-term estimates of the effect of FD on EF. Like the ARDL estimates, we present three estimated NARDL models in <xref ref-type="table" rid="T9">Table 9</xref> (Models 1&#x2013;3). Model 1 shows the estimates of the influence of the FD index on EF, accounting for control variables. Model 2 is the regression of EF on the FM index and the other control variables, while Model 3 expresses EF as the dependent variable, and the FI index as the independent variable of interest and the other variables&#x2014;gross domestic product <italic>per capita</italic>, and energy-use&#x2014;as regressors. Model 1 shows that the long-term asymmetric impact of FD rising LFD_POS on EF is &#x2212;0.802,825 and significant at 10% level, consistent with <xref ref-type="bibr" rid="B50">Odugbesan and Adebayo (2020)</xref> and <xref ref-type="bibr" rid="B46">Mensah and Abdul-Mumuni (2022)</xref> for Ghana. The potential explanation for this is that FD facilitates the availability of credit and encourages the consumption of environmentally friendly goods, thus creating more sustainability for current and future generations. It was also found that the decreasing LFD_NEG on EF is &#x2212;5.473893, entering the model significantly at a 10% level. This discovery is also compatible with <xref ref-type="bibr" rid="B46">Mensah and Abdul-Mumuni (2022)</xref> for Ghana. The explanation is that a reduction in FD can lead to a reduction in production scale, ultimately resulting in decreased carbon emissions (<xref ref-type="bibr" rid="B46">Mensah and Abdul-Mumuni, 2022</xref>). These results support previous similar findings for nearby nations such as Nigeria, signifying a rather wider applicability of the association between FD and EF in the Southern African Development Community. More importantly, they point to the significance of endorsing environmentally friendly business practices and regulating undertakings that are not environment friendly. The potential limitation in the analysis is that the study overlooked other related aspects that affect the association between FD and EF, including institutional variables, government policies, and technological innovation.</p>
<table-wrap id="T9" position="float">
<label>TABLE 9</label>
<caption>
<p>NARDL long- and short-run results (FD index).</p>
</caption>
<table>
<thead valign="top">
<tr>
<th colspan="7" align="left">Panel A long-run results</th>
</tr>
<tr>
<th align="left"/>
<th colspan="2" align="center">Model 1(FD)</th>
<th colspan="2" align="center">Model 2 (FM)</th>
<th colspan="2" align="center">Model 3 (FI)</th>
</tr>
<tr>
<th align="left">Variable</th>
<th align="left">Coefficient</th>
<th align="left">Std. Error</th>
<th align="left">Coefficient</th>
<th align="left">Std. Error</th>
<th align="left">Coefficient</th>
<th align="left">Std. Error</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">LFD_POS</td>
<td align="center">&#x2212;0.80283</td>
<td align="center">0.192298</td>
<td align="center">&#x2212;0.155795</td>
<td align="center">0.059823</td>
<td align="center">0.888540</td>
<td align="center">0.340029</td>
</tr>
<tr>
<td align="left">LFD_NEG</td>
<td align="center">&#x2212;5.47389</td>
<td align="center">0.76714</td>
<td align="center">&#x2212;1.922694</td>
<td align="center">0.830294</td>
<td align="center">1.635094</td>
<td align="center">0.639688</td>
</tr>
<tr>
<td align="left">LGDPPC</td>
<td align="center">&#x2212;0.619</td>
<td align="center">0.087236</td>
<td align="center">&#x2212;0.900528</td>
<td align="center">0.406905</td>
<td align="center">&#x2212;0.169373</td>
<td align="center">0.052340</td>
</tr>
<tr>
<td align="left">LENEUSE</td>
<td align="center">1.506616</td>
<td align="center">0.10904</td>
<td align="center">1.085216</td>
<td align="center">0.259261</td>
<td align="center">0.355515</td>
<td align="center">0.319209</td>
</tr>
<tr>
<td colspan="7" align="left">Panel B short-term results</td>
</tr>
<tr>
<td align="left">D (LFD_POS(-1))</td>
<td align="right">0.890638</td>
<td align="right">0.487185</td>
<td rowspan="18" colspan="4" align="left"/>
</tr>
<tr>
<td align="left">D (LFD_POS(-2))</td>
<td align="right">&#x2212;0.54907</td>
<td align="right">0.55926</td>
</tr>
<tr>
<td align="left">D (LFD_POS(-3))</td>
<td align="right">0.092159</td>
<td align="right">0.512245</td>
</tr>
<tr>
<td align="left">D (LFD_POS(-4))</td>
<td align="right">1.15115</td>
<td align="right">0.658638</td>
</tr>
<tr>
<td align="left">D (LFD_NEG)</td>
<td align="right">&#x2212;2.35377</td>
<td align="right">0.843602</td>
</tr>
<tr>
<td align="left">D (LFD_NEG (-1))</td>
<td align="right">2.414618</td>
<td align="right">0.85837</td>
</tr>
<tr>
<td align="left">D (LFD_NEG (-2))</td>
<td align="right">2.000665</td>
<td align="right">0.449247</td>
</tr>
<tr>
<td align="left">D (LFD_NEG (-3))</td>
<td align="right">2.038099</td>
<td align="right">0.666841</td>
</tr>
<tr>
<td align="left">D (LFD_NEG (-4))</td>
<td align="right">1.09809</td>
<td align="right">0.601185</td>
</tr>
<tr>
<td align="left">D (LGDPPC)</td>
<td align="right">&#x2212;0.42758</td>
<td align="right">0.166858</td>
</tr>
<tr>
<td align="left">D (LGDPPC(-1))</td>
<td align="right">0.503497</td>
<td align="right">0.196922</td>
</tr>
<tr>
<td align="left">D (LGDPPC(-2))</td>
<td align="right">0.342449</td>
<td align="right">0.220118</td>
</tr>
<tr>
<td align="left">D (LGDPPC(-3))</td>
<td align="right">&#x2212;0.28636</td>
<td align="right">0.150359</td>
</tr>
<tr>
<td align="left">D (LENEUSE)</td>
<td align="right">0.239841</td>
<td align="right">0.246352</td>
</tr>
<tr>
<td align="left">D (LENEUSE(-1))</td>
<td align="right">&#x2212;1.50811</td>
<td align="right">0.452188</td>
</tr>
<tr>
<td align="left">D (LENEUSE(-2))</td>
<td align="right">&#x2212;0.98471</td>
<td align="right">0.485981</td>
</tr>
<tr>
<td align="left">D (LENEUSE(-3))</td>
<td align="right">&#x2212;0.39218</td>
<td align="right">0.389554</td>
</tr>
<tr>
<td align="left">ECM(-1)</td>
<td align="right">&#x2212;2.25886</td>
<td align="right">0.399238</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>As for the control variables, it was found that the GDP <italic>per capita</italic> coefficient is negative and statistically significant at a 1% level. The energy-use coefficient was positive and statistically significant at 1%, suggesting that a unit rise in energy use is linked with degrading environmental quality by 1.5%. This is consistent with <xref ref-type="bibr" rid="B68">Sheraz et al., (2021)</xref> and <xref ref-type="bibr" rid="B60">Saqib et al. (2023)</xref>, who revealed that energy use discourages environmental quality. Panel B reflects that the ECM coefficient is &#x2212;2.26 and statistically supported at 5%, suggesting that the system modifies to balance at a speed of 226%.</p>
<p>Model 2 of <xref ref-type="table" rid="T9">Table 9</xref> presents the influence of FM on EF and shows that the coefficients of a positive and negative shock of FM are negative and statistically supported at a 5% level of significance. There is difference in the magnitude of influence: a negative shock possesses a greater negative impact of a &#x2212;1.92% coefficient compared to a positive shock of &#x2212;0.15%. A one-unit rise in GDP <italic>per capita</italic> will promote environmental quality by &#x2212;0.90%, suggesting that GDP <italic>per capita</italic> has a negative relationship with environmental quality, agreeing with <xref ref-type="bibr" rid="B9">Arogundade et al. (2022)</xref>. In addition, the energy-use coefficient depicts a positive and statistically supported outcome at a 1% level, which recommends that a unit rise in energy use is associated with degrading environmental quality by 1.08%; the finding is compatible with <xref ref-type="bibr" rid="B12">Baloch et al. (2019)</xref> and <xref ref-type="bibr" rid="B50">Odugbesan and Adebayo (2020)</xref>.</p>
<p>Model 3 of <xref ref-type="table" rid="T9">Table 9</xref> reports the impact of FI on EF and demonstrates that the findings of both the positive and negative shock of FI are statistically significant and positive at a 5% level. Both shocks hold an identical positive influence on environmental quality; this suggests that both shocks will dampen environmental quality in the long run. This finding is coherent with <xref ref-type="bibr" rid="B31">Habiba and Xinbang (2022)</xref>, who examined the influence of comprehensive FD, FI, and FM, including their indices on CO<sub>2</sub> emissions for advanced and emerging nations. FI was found to have a positive relationship with CO<sub>2</sub> emissions in emerging nations. This could be explained by the fact that financial institutions tend to make more capital available for production activities instead of technical advances in developing economies (Chang 2015; Acheampong 2019). In contrast to <xref ref-type="bibr" rid="B75">Uche and Effiom&#x2019;s (2021)</xref>, a one-unit rise in GDP <italic>per capita</italic> has a negative coefficient of 0.16%. Lastly, the energy use coefficient is positive and statistically insignificant.</p>
</sec>
<sec id="s4-4-3">
<title>4.4.3 Robustness checks</title>
<p>As a robustness check of the ARDL estimates, the dynamic DOLS, FMOLS, and CCR were adopted (<xref ref-type="table" rid="T10">Table 10</xref>). Reassuringly, the results for all three models and the coefficient signs are similar for all estimated variables&#x2014;FD index, FM, and FI&#x2014;except for the control variable of GDP <italic>per capita</italic>, where the coefficient is positive and statistically significant for FD and FM across all tests. This implies that GDP <italic>per capita</italic> exacerbates environmental quality in South Africa. Lastly, the energy-use results are consistent across all models; in the same way, the coefficient slope is negatively and positively statistically significant, suggesting that energy-use has a detrimental effect on environmental quality.</p>
<table-wrap id="T10" position="float">
<label>TABLE 10</label>
<caption>
<p>FMOLS, DOLS, and CCR.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left"/>
<th colspan="2" align="left">FMOLS</th>
<th colspan="2" align="left">DOLS</th>
<th colspan="2" align="left">CCR</th>
</tr>
<tr>
<th align="left">Variables</th>
<th align="left">Coefficient</th>
<th align="left">T- Stat</th>
<th align="left">Coefficient</th>
<th align="left">T- Stat</th>
<th align="left">Coefficient</th>
<th align="left">T- Stat</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">LFD</td>
<td align="left">&#x2212;0.14401</td>
<td align="left">&#x2212;5.327039</td>
<td align="left">&#x2212;0.328999</td>
<td align="left">&#x2212;3.649755</td>
<td align="left">&#x2212;0.146341</td>
<td align="left">&#x2212;5.193631</td>
</tr>
<tr>
<td align="left">LGDPPC</td>
<td align="left">0.021754</td>
<td align="left">2.092514</td>
<td align="left">0.098668</td>
<td align="left">2.629837</td>
<td align="left">0.023167</td>
<td align="left">2.142041</td>
</tr>
<tr>
<td align="left">LENUSE</td>
<td align="left">0.773702</td>
<td align="left">15.41829</td>
<td align="left">0.710177</td>
<td align="left">4.918105</td>
<td align="left">0.768574</td>
<td align="left">16.05762</td>
</tr>
<tr>
<td align="left">LFM</td>
<td align="left">&#x2212;0.094601</td>
<td align="left">&#x2212;4.174822</td>
<td align="left">&#x2212;0.129308</td>
<td align="left">&#x2212;3.925552</td>
<td align="left">&#x2212;0.08168</td>
<td align="left">&#x2212;4.830407</td>
</tr>
<tr>
<td align="left">LGDPPC</td>
<td align="left">0.043839</td>
<td align="left">2.255502</td>
<td align="left">0.069278</td>
<td align="left">2.332083</td>
<td align="left">0.033107</td>
<td align="left">2.295947</td>
</tr>
<tr>
<td align="left">LENUSE</td>
<td align="left">0.636713</td>
<td align="left">6.029582</td>
<td align="left">0.558782</td>
<td align="left">4.176186</td>
<td align="left">0.639244</td>
<td align="left">7.344247</td>
</tr>
<tr>
<td align="left">LFI</td>
<td align="left">0.392821</td>
<td align="left">4.506088</td>
<td align="left">0.328533</td>
<td align="left">3.585905</td>
<td align="left">0.302041</td>
<td align="left">3.514811</td>
</tr>
<tr>
<td align="left">LGDPPC</td>
<td align="left">&#x2212;0.081465</td>
<td align="left">&#x2212;4.602505</td>
<td align="left">&#x2212;0.074658</td>
<td align="left">&#x2212;2.710072</td>
<td align="left">&#x2212;0.04946</td>
<td align="left">&#x2212;2.128112</td>
</tr>
<tr>
<td align="left">LENUSE</td>
<td align="left">0.356019</td>
<td align="left">3.894843</td>
<td align="left">0.427791</td>
<td align="left">4.480605</td>
<td align="left">0.343832</td>
<td align="left">4.230638</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>The cumulative sums (CUSUM) of recursive and cumulative squares plots of the ARDL and NARDL regression show that the models are stable since they are all within the 95% confidence interval in <xref ref-type="fig" rid="F1">Figures 1</xref>, <xref ref-type="fig" rid="F2">2</xref>.</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>ARDL Cusum tests.</p>
</caption>
<graphic xlink:href="fenvs-12-1347977-g001.tif"/>
</fig>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>NARDL Cusum tests.</p>
</caption>
<graphic xlink:href="fenvs-12-1347977-g002.tif"/>
</fig>
</sec>
<sec id="s4-4-4">
<title>4.4.4 Dynamic multiplier graph</title>
<p>The dynamic multiplier indicates that asymmetry is trending around the mean of all three models in <xref ref-type="fig" rid="F3">Figure 3</xref>. The variation of FD is more stable, suggesting that the negative shock responds more to environmental degradation than the positive shock. This trend is consistent with the results for both long-term positive and negative shocks, in which the negative shock coefficient is higher than the positive.</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>Multiplier graph.</p>
</caption>
<graphic xlink:href="fenvs-12-1347977-g003.tif"/>
</fig>
</sec>
</sec>
</sec>
<sec id="s5">
<title>5 Conclusion and policy implications</title>
<p>This study was envisioned to evaluate the symmetric and asymmetric impact of FD on EF. The latest measure of FD and its sub-indices (FM and FI) was adopted, which differentiates this study from previous studies that relied on the overall or traditional measures of FD. Environmental quality is measured using the comprehensive EF, in contrast to most earlier literature which only employed one ecological indicator, such as CO<sub>2</sub>. Lastly, this study controlled annually for GDP and energy use over 1980&#x2013;2018. In the methodology, ARDL and the NARDL were utilized to discover whether a symmetric and asymmetric association exists between these two variables.</p>
<p>According to the study findings, the long-run symmetric model&#x2019;s practical findings show that FD and FM generally enhance environmental quality. In contrast, FI degrades environmental quality. The possible justification for this is that FD facilitates the availability of credit and encourages the consumption and production of environmentally friendly goods, thus creating a more sustainable future for current and future generations.</p>
<p>The asymmetric results suggest that both positive and negative shocks reduce EF. This may be due to a reduction of FD instigating a reduction in the production and consumption scale, ultimately resulting in decreased carbon emissions (<xref ref-type="bibr" rid="B46">Mensah and Abdul-Mumuni, 2022</xref>). As for the control variables, the GDP <italic>per capita</italic> coefficient was negative and statistically significant at a 1% level of significance. Finally, the energy-use coefficient was positive and statistically significant at 1%, suggesting that a unit rise in energy use is linked with degrading environmental quality. FM on the EF showed that the coefficients of positive and negative shocks are negative and statistically supported. This outcome proposes that FM supports environmental quality. A one-unit rise in GDP <italic>per capita</italic> will promote environmental quality by &#x2212;0.90%. In addition, the energy-use coefficient outcome suggests that a unit rise in energy use is associated with degrading environmental quality. FI on the EF indicated that the positive and negative shock outcome is statistically supported and positive at a 5% level. This implies that both shocks will have a long-term negative impact on environmental quality. A unit rise in GDP <italic>per capita</italic> will promote environmental quality.</p>
<p>These findings possess significant policy implications, as FM and FI project contrasting relationships with EF, which measures environmental quality. FI positive and negative shocks deteriorate environmental quality, whereas FM positive and negative shocks favor environmental quality. This could be due to the corporate social investment (CSI) reports of firms or companies, environment standards, and information of business day-to-day operations being available to FI (banks and insurance companies) but are not required for FM (investors and portfolio managers). This demonstrates an information imbalance between FI and FM. A consistent process of disseminating information about firms&#x2019; or companies&#x2019; environmental impact prior to deciding on an investment may alert FM to a deleterious effect on environmental quality. Another discovery from the results is that FI have been allocating more funding to projects that do not promote environmental quality, although they have environmental impact reports of firms or companies. This could be attributed to relaxed or no punitive measures for violating environmental quality.</p>
<p>The study makes theoretical contributions by advancing our understanding of the relationship between financial development and environmental sustainability, exploring asymmetric effects and suggesting avenues for future research and policy interventions. Practical policy implications emanating from the results are the following. 1) FD is an important variable for reducing ecological damage in South Africa. 2) A uniform approach should be adopted by FI and FM for vetting the environmental impact of firms prior to investing or allocating capital. 3) Government should introduce regulations for FD to allocate a percentage of yield toward the research and development of clean energy solutions. This research contains some shortcomings that may be addressed in forthcoming studies. A potential limitation in the analysis is that the study overlooked other related aspects that affect the association between FD and EF, including institutional variables, government policies, and technological innovation. Thus, future research may consider incorporating the interactive term(s) such as institutional and social variables in analyzing the association between FD and the EF.</p>
</sec>
</body>
<back>
<sec sec-type="data-availability" id="s6">
<title>Data availability statement</title>
<p>The data used for this article will be made available by the authors, without undue reservation.</p>
</sec>
<sec id="s7">
<title>Author contributions</title>
<p>MB: conceptualization, supervision, validation, writing&#x2013;review and editing, data curation, formal analysis, methodology, software, and visualization. SK: writing&#x2013;original draft, conceptualization, formal analysis, methodology, project administration, resources, and software.</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, authorship, and/or publication of this article.</p>
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<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>
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<sec sec-type="disclaimer" id="s10">
<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>
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