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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Public Health</journal-id>
<journal-title>Frontiers in Public Health</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Public Health</abbrev-journal-title>
<issn pub-type="epub">2296-2565</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.3389/fpubh.2022.878243</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Public Health</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>The Impact of Energy Productivity and Eco-Innovation on Sustainable Environment in Emerging Seven (E-7) Countries: Does Institutional Quality Matter?</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name><surname>Safi</surname> <given-names>Adnan</given-names></name>
<uri xlink:href="http://loop.frontiersin.org/people/1619924/overview"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name><surname>Chen</surname> <given-names>Yingying</given-names></name>
<xref ref-type="corresp" rid="c001"><sup>&#x0002A;</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/1684247/overview"/>
</contrib>
<contrib contrib-type="author">
<name><surname>Zheng</surname> <given-names>Liya</given-names></name>
<uri xlink:href="http://loop.frontiersin.org/people/1812759/overview"/>
</contrib>
</contrib-group>
<aff><institution>School of Economics, Qingdao University</institution>, <addr-line>Qingdao</addr-line>, <country>China</country></aff>
<author-notes>
<fn fn-type="edited-by"><p>Edited by: Abdul Rauf, Nanjing University of Information Science and Technology, China</p></fn>
<fn fn-type="edited-by"><p>Reviewed by: Sufyan Ullah Khan, Northwest A&#x00026;F University, China; Taimoor Hassan, Nanjing University of Science and Technology, China</p></fn>
<corresp id="c001">&#x0002A;Correspondence: Yingying Chen <email>chenyingying&#x00040;qdu.edu.cn</email></corresp>
<fn fn-type="other" id="fn001"><p>This article was submitted to Environmental health and Exposome, a section of the journal Frontiers in Public Health</p></fn></author-notes>
<pub-date pub-type="epub">
<day>06</day>
<month>06</month>
<year>2022</year>
</pub-date>
<pub-date pub-type="collection">
<year>2022</year>
</pub-date>
<volume>10</volume>
<elocation-id>878243</elocation-id>
<history>
<date date-type="received">
<day>17</day>
<month>02</month>
<year>2022</year>
</date>
<date date-type="accepted">
<day>04</day>
<month>05</month>
<year>2022</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#x000A9; 2022 Safi, Chen and Zheng.</copyright-statement>
<copyright-year>2022</copyright-year>
<copyright-holder>Safi, Chen and Zheng</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>Emerging economies are showing promising growth and economic success, but the growth process has significantly increased carbon emissions in these countries and deteriorated environmental quality. Environmental degradation is an issue of serious concern as it is directly linked to human lives and health. Since the creation of the Sustainable Development Goals (SDGs), the Emerging Seven (E-7) countries have struggled to meet the SDG targets, as it&#x00027;s been a challenge for them to lower carbon emissions and improve the quality of the environment. Thus, the present study explores the key factors that significantly affect environmental quality. This study examines the effect of institutional quality, energy productivity, and eco-innovation on consumption-based carbon dioxide (CCO<sub>2</sub>) emissions for E-7 economies. The cointegration analysis results show a long-run relationship between institutional quality, energy productivity, GDP, eco-innovation exports, imports, and CCO<sub>2</sub> emissions. The results obtained using the cross-sectionally augmented autoregressive distributed lag (CS-ARDL) model show that institutional quality, energy productivity, eco-innovation, and exports adversely affect CCO<sub>2</sub> emissions and improve environmental quality in the short and long run. In contrast, imports and GDP are positively linked with CCO<sub>2</sub> emissions and contribute to environmental degradation. Policies that target institutional quality, eco-innovation, and energy productivity significantly affect CCO<sub>2</sub> emissions and help improve environmental quality.</p></abstract>
<kwd-group>
<kwd>institutional quality</kwd>
<kwd>energy productivity</kwd>
<kwd>trade</kwd>
<kwd>carbon emission</kwd>
<kwd>eco-innovation</kwd>
<kwd>E-7 countries</kwd>
<kwd>public health</kwd>
<kwd>consumption-based carbon dioxide emission</kwd>
</kwd-group>
<counts>
<fig-count count="0"/>
<table-count count="8"/>
<equation-count count="12"/>
<ref-count count="67"/>
<page-count count="11"/>
<word-count count="8972"/>
</counts>
</article-meta>
</front>
<body>
<sec sec-type="intro" id="s1">
<title>Introduction</title>
<p>Climate change is an issue of serious concern for policymakers and researchers as it has a significant impact on human lives (<xref ref-type="bibr" rid="B1">1</xref>). Countries globally are taking steps to mitigate global warming since it had a critical impact on human lives and the environment through unexpected deviations in weather, melting of the glaciers, rising sea levels, and overall temperature. The key element that has a significant impact on global warming is greenhouse gas (GHG) emissions. Carbon emissions significantly contribute to environmental deterioration, accounting for 75% of GHG emissions (<xref ref-type="bibr" rid="B2">2</xref>, <xref ref-type="bibr" rid="B3">3</xref>). For the purpose of addressing environmental deterioration, governments across the globe have proposed several accords, including the latest in 2015, the Paris Climate Accord, designed to control global warming to &#x0003C;2&#x000B0;C. Like the rest of the world, the Emerging-Seven countries have also set carbon neutrality goals, Brazil, and Mexico, have committed to achieve carbon neutrality (net-zero carbon emission) by 2050, and Turkey has set a target of 2053. Similarly, China, Russia, and Indonesia have set a target to attain carbon neutrality by 2060, whereas India has set a target of 2070 to achieve carbon neutrality. Numerous nations, including the emerging seven, are pressuring provinces, cities, and companies to accomplish net zero CO<sub>2</sub> emissions and slash 80 to 100% of GHG emissions by 2050 (<xref ref-type="bibr" rid="B4">4</xref>).</p>
<p>In the Paris accord (COP-21), one of the important elements was the nationally determined contributions (NDCs) that required countries to establish national or domestic goals for carbon emission reduction. Countries worldwide, especially the E-7 countries, have committed to carbon neutrality. The majority of nations have set a target of zero emissions and carbon neutrality by 2,050&#x02013;60; others, such as Uruguay and Norway, have set an even more challenging target to achieve net-zero carbon emission by 2030. Though, it is critical to reach the aims and objectives of net-zero carbon emissions and resolve climate change problems. Every country in the E-7 has established a goal for carbon neutrality. The E-7 nations are committed to attaining carbon neutrality by promoting zero net GHG emissions among organizations and localities. Due to its importance, numerous studies have been carried out to ascertain the key elements that can fasten the process of achieving the goal of zero carbon and identify factors that have a significant impact on environmental degradation. A substantial body of literature indicates that economic development is an essential predictor of environmental pollution (<xref ref-type="bibr" rid="B5">5</xref>&#x02013;<xref ref-type="bibr" rid="B7">7</xref>). However, a limited but rising body of studies has been carried out on the linkage between institutional quality, energy productivity, eco-innovation, and the environment.</p>
<p>Previous studies have examined several possible variables in this respect, including political and economic effects. Though the results of these studies are not conclusive, Dal B&#x000F3; and Rossi (<xref ref-type="bibr" rid="B8">8</xref>) suggested that increasing institutional quality might cut carbon emissions. The increase in resource allocation may also lower carbon emissions (<xref ref-type="bibr" rid="B9">9</xref>). However, Le et al. (<xref ref-type="bibr" rid="B11">11</xref>) noted that when a country lacks or has inadequate environmental legislation, some enterprises may regard it as the &#x0201C;pollution haven&#x0201D; and take chances to escape costly pollution control expenditures in other countries. Shah et al. (<xref ref-type="bibr" rid="B10">10</xref>) also suggested that the development process is degraded due to inadequate institutional quality that might raise risks and harm the environment. Though, a limited amount of empirical research has evaluated the influence of institutional quality and energy productivity on carbon emissions, with contradictory findings (<xref ref-type="bibr" rid="B10">10</xref>, <xref ref-type="bibr" rid="B12">12</xref>). The empirical results continue to be conflicting (see, for example, (<xref ref-type="bibr" rid="B8">8</xref>, <xref ref-type="bibr" rid="B9">9</xref>, <xref ref-type="bibr" rid="B13">13</xref>&#x02013;<xref ref-type="bibr" rid="B15">15</xref>). Furthermore, research studies on the dynamic link between energy productivity, institutional quality, and CO<sub>&#x02212;2</sub> emissions in the context of E-7 countries are limited (<xref ref-type="bibr" rid="B14">14</xref>). Institutions have been shown to influence economic growth (<xref ref-type="bibr" rid="B16">16</xref>), energy, and the environment (<xref ref-type="bibr" rid="B17">17</xref>&#x02013;<xref ref-type="bibr" rid="B19">19</xref>). It is critical to include institutions in the productivity, economic growth, and CO<sub>2</sub> emission nexus (<xref ref-type="bibr" rid="B20">20</xref>, <xref ref-type="bibr" rid="B21">21</xref>).</p>
<p>Furthermore, previous research studies focus only on the influence of territory- or production-based CO<sub>2</sub> emissions and have not taken into account the multinational manufacturing process. Previous studies have ignored the carbon emissions measure based on consumption that is adjusted for exports and imports. To put it another way, CO<sub>2</sub> emissions are calculated using two different approaches: consumption-based carbon dioxide (CCO<sub>2</sub>) emissions and territory-based CO<sub>2</sub> (TCO<sub>2</sub>) emissions. The standard metric is carbon emissions based on output, which excludes imports and exports. As a result, Peters et al. (<xref ref-type="bibr" rid="B22">22</xref>) developed a new database of CCO<sub>2</sub> emissions, which is estimated as TCO<sub>2</sub> emissions minus exports plus imports. Several research studies on both the CO<sub>2</sub> data have shown different results for lower, middle- and high-income countries (<xref ref-type="bibr" rid="B23">23</xref>, <xref ref-type="bibr" rid="B24">24</xref>).</p>
<p>Moreover, concerns have been expressed that high-income countries may reduce CO<sub>2</sub> emissions through imports and exports by moving highly intensive CO<sub>2</sub> emissions products to other countries. We estimated emission ratios based on consumption for the E-7 nations. The ratios for CCO<sub>2</sub> and TCO<sub>2</sub> are shown in <xref ref-type="table" rid="T1">Table 1</xref>. The findings of <xref ref-type="table" rid="T1">Table 1</xref> indicate that China, Russia, India, and Indonesia, among the E-7 nations, are net carbon exporters, whereas Mexico, Turkey, and Brazil are net carbon importers. This means that China, Russia, India, and Indonesia export things that contribute to their decreased CO<sub>2</sub> emissions, whereas Mexico, Turkey, and Brazil import products that increase their carbon consumption. This is because the E-7 nation&#x00027;s export and import of equipment and chemicals products decrease (increase) the country&#x00027;s CCO<sub>2</sub> emissions<xref ref-type="fn" rid="fn0001"><sup>1</sup></xref> (<xref ref-type="bibr" rid="B25">25</xref>).</p>
<table-wrap position="float" id="T1">
<label>Table 1</label>
<caption><p>Ratios and difference for consumption and territory-based emissions.</p></caption>
<table frame="hsides" rules="groups">
<thead><tr>
<th valign="top" align="left"><bold>Country name</bold></th>
<th valign="top" align="center"><bold>CCO<sub><bold>2</bold></sub>/TCO<sub><bold>2</bold></sub></bold></th>
<th valign="top" align="center"><bold>CCO<sub><bold>2</bold></sub>&#x02013;TCO<sub><bold>2</bold></sub></bold></th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">Brazil</td>
<td valign="top" align="center">1.0107206</td>
<td valign="top" align="center">5.1853943</td>
</tr>
<tr>
<td valign="top" align="left">Mexico</td>
<td valign="top" align="center">1.0396787</td>
<td valign="top" align="center">18.06601</td>
</tr>
<tr>
<td valign="top" align="left">Turkey</td>
<td valign="top" align="center">1.0336859</td>
<td valign="top" align="center">14.12912</td>
</tr>
<tr>
<td valign="top" align="left">China</td>
<td valign="top" align="center">0.870745</td>
<td valign="top" align="center">&#x02212;1330.027</td>
</tr>
<tr>
<td valign="top" align="left">Indonesia</td>
<td valign="top" align="center">0.96190721</td>
<td valign="top" align="center">&#x02212;23.422668</td>
</tr>
<tr>
<td valign="top" align="left">India</td>
<td valign="top" align="center">0.905758</td>
<td valign="top" align="center">&#x02212;245.011</td>
</tr>
<tr>
<td valign="top" align="left">Russia</td>
<td valign="top" align="center">0.83621317</td>
<td valign="top" align="center">&#x02212;277.06946</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p><italic>TCO<sub>2</sub> represents territory-based CO<sub>2</sub> emissions, and CCO<sub>2</sub> shows consumption-based CCO<sub>2</sub> emissions</italic>.</p>
</table-wrap-foot>
</table-wrap>
<p>Therefore, this research fills the gap by investigating the impact of eco-innovation, institutional quality, and energy productivity on CCO<sub>2</sub> emissions for emerging-seven countries between 1995 and 2019. The current study fills the gap by adopting the recently established CCO<sub>2</sub> emissions metric that considers fossil fuels and accounts for emissions embedded through exports and imports. Previous studies have used production or territorial-based carbon emissions and have overlooked the recently established CCO<sub>2</sub> emissions. Thus, the present study fills the gap by investigating the influence of energy productivity, institutional quality, and eco-innovation on carbon emission. Additionally, previous search studies are mainly focused on developed countries; therefore, it&#x00027;s important to conduct this analysis for E-7 countries. The primary rationale for taking the E-7 economies is that they are large developing economies globally that have made tremendous strides over the last two decades. The gap between the E-7 and G-7 nations (United States of America, Canada, France, Japan, Germany, Italy, and the United Kingdom) is narrowing, and the E-7&#x00027;s economic growth may exceed that of the G-7 by 2032. Over the next 40 years, the E-7 Countries expected annual growth rate is projected to be 3.5 percent in comparison to 1.6 percent for the G-7 economies (<xref ref-type="bibr" rid="B26">26</xref>, <xref ref-type="bibr" rid="B27">27</xref>). Additionally, the E-7 nations are big energy consumers, accounting for more than 40% of world energy consumption. As a result, it is critical to analyze the factors that contribute to CO<sub>2</sub> emissions in the E-7 countries. Moreover, in this study, to determine the link between the variables, advanced econometric approaches are employed. In this study, to have a better outline of the influence of trade on CCO<sub>2</sub> emissions, we analyzed trade by taking imports and exports as separate variables for the E-7 economies.</p>
<p>The rest of this paper is arranged as follows: the next section (section Literature Reviews) gives the literature review on institutional quality, eco-innovation, energy productivity, and carbon emission. Moreover, this part also gives the literature review for the control variables selected in this study (i.e., GDP imports and exports). The third part of this article discusses the research design, theoretical background, and analytical techniques employed in this study. Section Results explains and discusses the findings obtained using different statistical methods. The last part gives the conclusion and discusses policy implications.</p>
</sec>
<sec id="s2">
<title>Literature Reviews</title>
<p>This section of the study discusses the existing literature on the factors that significantly affect CO<sub>2</sub> emissions. Many scholars have examined the link between energy productivity, eco-innovation, institutional quality, economic development, international trade, and CO<sub>2</sub> emissions [i.e., (<xref ref-type="bibr" rid="B12">12</xref>, <xref ref-type="bibr" rid="B21">21</xref>, <xref ref-type="bibr" rid="B25">25</xref>, <xref ref-type="bibr" rid="B28">28</xref>&#x02013;<xref ref-type="bibr" rid="B40">40</xref>)]. All these studies mentioned are discussed in this section below.</p>
<p>Economic activities have grown at an incredible rate in the last few decades, raising worries about their environmental effect. Increased economic activity results in an increase in people&#x00027;s income, but at the expense of natural resource depletion and environmental damage. Numerous studies have revealed substantial evidence of a unidirectional association between economic growth and carbon dioxide emission (<xref ref-type="bibr" rid="B35">35</xref>). Chang (<xref ref-type="bibr" rid="B41">41</xref>), for example, did research on China as a growing economy and discovered that the country&#x00027;s high CO<sub>2</sub> emissions were a consequence of its economic expansion. Jardon et al. (<xref ref-type="bibr" rid="B36">36</xref>) conducted a research study taking data from 1971 to 2011 for 20 Latin American and Caribbean nations. The research revealed contradictory findings. When the cross-sectional dependency is neglected, the EKC hypothesis is verified; otherwise, it is rejected. Similarly, several studies have shown that economic growth is a key factor that enhances carbon emissions and deteriorates the environment (<xref ref-type="bibr" rid="B12">12</xref>, <xref ref-type="bibr" rid="B25">25</xref>, <xref ref-type="bibr" rid="B42">42</xref>).</p>
<p>Similarly, numerous studies have been carried out on the linkage between international trade and carbon emission. Isik et al. (<xref ref-type="bibr" rid="B37">37</xref>) argued that enhanced openness to global trade increases CO<sub>2</sub> emissions for Greece. Likewise, Acheampong et al. (<xref ref-type="bibr" rid="B38">38</xref>) examine the influence of trade, renewable energy, and foreign direct investment on carbon emissions in Sub-Saharan Africa, demonstrating that trade contributes to carbon emissions. Additionally, several research studies have evaluated the linkage between trade openness and global carbon emissions. Stretesky and Lynch (<xref ref-type="bibr" rid="B39">39</xref>) evaluated the influence of exports on carbon emissions by taking panel data of 169 countries and concluded that exports would increase CO<sub>2</sub> emissions. Acheampong et al. (<xref ref-type="bibr" rid="B38">38</xref>) and Stretesky and Lynch (<xref ref-type="bibr" rid="B39">39</xref>) employed the production-based carbon emission technique, which doesn&#x00027;t take into account international trade. In contrast to Stretesky and Lynch&#x00027;s (<xref ref-type="bibr" rid="B39">39</xref>) studies, Safi et al. (<xref ref-type="bibr" rid="B25">25</xref>) and Wahab et al. (<xref ref-type="bibr" rid="B12">12</xref>) studied the impact of international trade on carbon emission, taking CCO<sub>2</sub> emissions as a measure that accounts for imports and exports to show that exports lessen CO<sub>2</sub> emissions while imports boost CO<sub>2</sub> emissions.</p>
<p>Studies examining the influence of eco-innovation on carbon emissions have shown that it improves environmental quality. The research of Zhang et al. (<xref ref-type="bibr" rid="B43">43</xref>) illustrates the relevance and influence of eco-innovation in reducing carbon emissions by taking China as a case study. Their study results showed energy efficiency and R&#x00026;D as the main elements that minimize carbon emissions. For the period 1985&#x02013;2012, in the case of Malaysia, Ali et al. (<xref ref-type="bibr" rid="B28">28</xref>) evaluated technological innovation as a determinant of carbon emission. According to the findings of the causality test, there is a two-way association among GDP and carbon emissions. Similarly, their results show that there is a similar linkage between technological innovation and CO<sub>2</sub> emissions. On the other side, investments in sophisticated and environmentally friendly technology have been regarded as a means of decreasing CO<sub>2</sub> dioxide emissions and improving the environment. Likewise, the research study of Ahmed et al. (<xref ref-type="bibr" rid="B44">44</xref>) showed that eco-innovation substantially enhances the environment by decreasing CO<sub>2</sub> emissions by taking panel data from a sample of 24 European nations. This indicates that nations that implement clean technologies in their manufacturing processes may enhance the quality of their environment. Additionally, Mehsah et al. (<xref ref-type="bibr" rid="B45">45</xref>) studied the influence of innovation on carbon emissions in 28 OECD countries and demonstrated the validity of an inverted U-shaped association between carbon emission and innovation. This suggests that technological innovation is a key factor and enhances environmental quality in OECD nations in the long run.</p>
<p>Apart from the fact that all of the factors mentioned above have a substantial influence on carbon emissions, academics, economists, and regulators have given little consideration to the influence of energy productivity and institutional quality in the literature. Huaman and Jun (<xref ref-type="bibr" rid="B29">29</xref>) claim that increased energy production improves energy efficiency and, as a result, reduces environmental damage. Prior research has mostly focused on energy efficiency and intensity. The existing body of knowledge acknowledges that energy efficiency enhances environmental quality. In contrast, several research studies have utilized energy intensity as a proxy for a country&#x00027;s overall energy efficiency (<xref ref-type="bibr" rid="B46">46</xref>&#x02013;<xref ref-type="bibr" rid="B48">48</xref>). In their study, Hasanbeigi et al. (<xref ref-type="bibr" rid="B47">47</xref>) argued that the primary drawbacks of taking energy intensity as a proxy for a country&#x00027;s energy productivity or efficiency are that the intensity rise may not always correspond to a real increase in the efficiency. For the reason that the existing research emphasizes primarily identifying the determinants of energy productivity, little is identified about energy productivity&#x00027;s ecological effect. As a result, a scant amount of research studies are focused on the environmental effect of energy productivity, and a recent study by Ding et al. (<xref ref-type="bibr" rid="B21">21</xref>) has shown that energy productivity may help mitigate CCO<sub>2</sub> emissions taking G-7 nations as a case study. Similarly, Akram and Umar (<xref ref-type="bibr" rid="B32">32</xref>) showed that energy efficiency also decreases carbon emission and thus is one of the key factors that improve environmental quality.</p>
<p>After a thorough overview of the existing literature, it is obvious that scarce studies have studied the linkage between institutional quality and carbon emissions. Lau et al. (<xref ref-type="bibr" rid="B30">30</xref>) revealed the influence of institutional quality on the linkage between growth and carbon emissions taking Malaysia as a case study. The results suggested that unprejudiced and effective institutions are highly vital for economic advancement to minimize CO<sub>2</sub> emissions. Ibrahim and Law (<xref ref-type="bibr" rid="B31">31</xref>) observed that institutional quality improves the environment and air quality. Moreover, international trade worsens the quality of air in countries with poor institutions as compared to countries with high institutional quality where trade improves air quality. Abid (<xref ref-type="bibr" rid="B17">17</xref>) included institutional quality in the debate between growth and emissions, taking data from 1990 to 2011 for 41 EU and 58 middle east, African (MEA) economies. He revealed that institutional quality is vital in the chosen nations for improving economic development and concurrently lowering CO<sub>2</sub> emissions. Similarly, taking China as a case study, Ameer et al. (<xref ref-type="bibr" rid="B49">49</xref>) showed that institutional quality significantly decreases carbon emissions. In contrast, Azam et al. (<xref ref-type="bibr" rid="B50">50</xref>) have taken 66 developing nations as a case study to demonstrate that institutional quality enhances energy consumption and thus increases environmental degradation. Similarly, Godil et al. (<xref ref-type="bibr" rid="B33">33</xref>) study also showed that the country&#x00027;s economic growth and institutional quality enhance CO<sub>2</sub> emissions by examining data from Pakistan from 1984 to 2018. Mehmood et al. (<xref ref-type="bibr" rid="B34">34</xref>) conducted a research study to determine the influence of institutional quality on CO<sub>2</sub> emissions taking Pakistan, India, and Bangladesh as case studies from 1996 to 2016. The results were mixed and showed that In Bangladesh and India, the influence of institutional quality is negative on CO<sub>2</sub> emissions, whereas in Pakistan, it raises CO<sub>2</sub> emissions. It is clear from the above discussion that studies are inconclusive, and the studies mentioned above employed the territory-based carbon emission as a metric of environmental damage (i.e., CO<sub>2</sub> emissions).</p>
<p>Unlike the studies discussed above, i.e., by Godil et al. (<xref ref-type="bibr" rid="B33">33</xref>), Jardon et al. (<xref ref-type="bibr" rid="B36">36</xref>), Azam et al. (<xref ref-type="bibr" rid="B50">50</xref>), and Akram and Umar (<xref ref-type="bibr" rid="B32">32</xref>), the current study fills the gap in the literature discussed and adds to it in many ways. Firstly, the present analysis uses the recently established CCO<sub>2</sub> emissions metric that considers fossil fuels and accounts for emissions embedded through exports and imports. The studies discussed in the literature section [like (<xref ref-type="bibr" rid="B32">32</xref>, <xref ref-type="bibr" rid="B33">33</xref>, <xref ref-type="bibr" rid="B50">50</xref>)] have used production or territorial-based carbon emissions and have overlooked the recently established CCO<sub>2</sub> emissions. Therefore, the present study fills the gap by investigating the effect of energy productivity, institutional quality, and eco-innovation on carbon emissions. Unlike earlier research investigations of Abid (<xref ref-type="bibr" rid="B17">17</xref>) and Zhang et al. (<xref ref-type="bibr" rid="B40">40</xref>), this study employs new econometric methods to evaluate the stationarity of the data, cointegration analysis, and long- and short-run estimates. In this study, we used the cointegration technique of Westerlund (<xref ref-type="bibr" rid="B51">51</xref>), Chudik et al.&#x00027;s (<xref ref-type="bibr" rid="B52">52</xref>) CS-ARDL model to identify the link between institutional quality, energy productivity, eco-innovation, and CCO<sub>2</sub> emissions. Moreover, we also evaluated the influence of E-7 countries&#x00027; trade by analyzing imports and exports individually for a complete overview of the impact of trade on carbon emissions in E-7 nations.</p>
</sec>
<sec sec-type="methods" id="s3">
<title>Methodology</title>
<p>This empirical study investigates the influence of institutional quality, eco-innovation, and energy productivity on CCO<sub>2</sub> emissions taking economic growth, exports, and imports as control variables in the context of E-7 nations. Distinct from the prior research on CCO<sub>2</sub> emissions [see, for instance, (<xref ref-type="bibr" rid="B12">12</xref>, <xref ref-type="bibr" rid="B42">42</xref>, <xref ref-type="bibr" rid="B53">53</xref>)], this research has taken different and unexplored exploratory variables of energy productivity, institutional quality, and eco-innovation. Moreover, we have applied advanced econometric methodologies to acquire the findings. Furthermore, the sample for this study is E-7 nations, and the time span is 1995 to 2018. The rationale for picking the time span of 1995&#x02013;2018 is attributed to the data availability of the selected variables for E-7 countries. The dependent variable in this research is CCO<sub>2</sub> emissions quantified in MtCO2e (Million tons) and is taken from the Global carbon atlas database created by Peters et al. (<xref ref-type="bibr" rid="B54">54</xref>). Economic growth data measured as the gross domestic product (GDP), imports (IM), and Exports (EX) is sourced from world development indicators (<xref ref-type="bibr" rid="B55">55</xref>). The data for eco-innovation or technological innovation (EcoInov) identified as the growth in environment-related technologies to the percentage of all technologies is obtained from the OECD database. To measure institutional quality in this study, we have developed an index based on the data collected from the world bank. We have taken six indicators to calculate the institutional quality of the E-7 economies, namely, voice and accountability, corruption control, political stability and the absence of violence/terrorism, the rule of law, regulatory quality, and government effectiveness. We built an aggregate index of these six factors stated above in order to have a cumulative score for assessing the institutional quality of E-7 countries.</p>
<sec>
<title>Theoretical Rationale</title>
<p>In this study, we examined the factors that significantly impact environmental pollution in the case of E-7 countries. The economic model for this study is developed following Safi et al. (<xref ref-type="bibr" rid="B25">25</xref>, <xref ref-type="bibr" rid="B42">42</xref>, <xref ref-type="bibr" rid="B56">56</xref>) and can be given as:</p>
<disp-formula id="E1"><mml:math id="M1"><mml:mtable columnalign='left'><mml:mtr><mml:mtd><mml:mi>C</mml:mi><mml:mi>C</mml:mi><mml:mi>O</mml:mi><mml:msub><mml:mn>2</mml:mn><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mi>t</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>&#x003D1;</mml:mi><mml:mn>0</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>&#x003D1;</mml:mi><mml:mn>1</mml:mn></mml:msub><mml:mi>I</mml:mi><mml:mi>n</mml:mi><mml:mi>s</mml:mi><mml:mi>Q</mml:mi><mml:msub><mml:mi>y</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mi>t</mml:mi></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>&#x003D1;</mml:mi><mml:mn>2</mml:mn></mml:msub><mml:mtext>&#x000A0;</mml:mtext><mml:mi>E</mml:mi><mml:mi>n</mml:mi><mml:mi>P</mml:mi><mml:msub><mml:mi>d</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mi>t</mml:mi></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>&#x003D1;</mml:mi><mml:mn>3</mml:mn></mml:msub><mml:mi>G</mml:mi><mml:mi>D</mml:mi><mml:msub><mml:mi>P</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mi>t</mml:mi></mml:mrow></mml:msub></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mtext>&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;</mml:mtext><mml:mo>+</mml:mo><mml:msub><mml:mi>&#x003D1;</mml:mi><mml:mn>4</mml:mn></mml:msub><mml:mtext>&#x000A0;</mml:mtext><mml:mi>E</mml:mi><mml:mi>c</mml:mi><mml:mi>o</mml:mi><mml:mi>I</mml:mi><mml:mi>n</mml:mi><mml:mi>o</mml:mi><mml:msub><mml:mi>v</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mi>t</mml:mi></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>&#x003D1;</mml:mi><mml:mn>5</mml:mn></mml:msub><mml:mi>I</mml:mi><mml:msub><mml:mi>M</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mi>t</mml:mi></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>&#x003D1;</mml:mi><mml:mn>6</mml:mn></mml:msub><mml:mi>E</mml:mi><mml:msub><mml:mi>X</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mi>t</mml:mi></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>&#x003B5;</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mi>t</mml:mi></mml:mrow></mml:msub></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
<p>In the above model, CCO<sub>2</sub> stands for consumption-based carbon emissions, InsQy shows institutional quality, EnPd stands for energy productivity, GDP stands for economic growth, EcoInov stands for environmental-related technological innovation, IM stands for imports, EX stands for exports, &#x003D1;<sub>1</sub>, &#x003D1;<sub>2</sub>, &#x003D1;<sub>3</sub>,&#x003D1;<sub>4</sub> &#x003D1;<sub>5</sub> and &#x003D1;<sub>6</sub> gives for parameters, and &#x003B5; shows the error term. The logical reasoning for selecting the factors mentioned in the above equation Eq. (1) is in accordance with previous research with a strong theoretical motivation. Moreover, past research studies have only conducted studies based on the territory CO<sub>2</sub> emissions, ignoring CCO<sub>2</sub> emission, which is calculated as emissions within the boundaries of a country, also known as territorial-based CO<sub>2</sub> emissions plus emissions from imports minus exports (<xref ref-type="bibr" rid="B57">57</xref>). Earlier research studies have ignored institutional quality and energy productivity for the E-7 group of countries, taking the recently established consumption-based emission metric; therefore, the present study fills the research gap. Institutions are mainly based on regulations, rules, and laws, which can act as an important medium to accomplish sustainable development goals. Additionally, the failure of institutions in a country can be harmful to the environment and leads to excessive emissions. Institutions in a country can help implement rules and regulations related to the environment, which can lower carbon emissions and improve environmental quality (<xref ref-type="bibr" rid="B31">31</xref>, <xref ref-type="bibr" rid="B34">34</xref>). Similarly, countries with high institutional quality can boost their economy and keep in check high pollutant industries. Therefore, institutions play a vital role <italic>via</italic> rules, regulations, and laws implementation that ultimately affects carbon emission (<xref ref-type="bibr" rid="B17">17</xref>), thus <inline-formula><mml:math id="M3"><mml:msub><mml:mrow><mml:mi>&#x003D1;</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mfrac><mml:mrow><mml:msub><mml:mrow><mml:mi>&#x003D1;</mml:mi></mml:mrow><mml:mrow><mml:mtext>&#x000A0;</mml:mtext></mml:mrow></mml:msub><mml:mi>C</mml:mi><mml:mi>C</mml:mi><mml:msub><mml:mrow><mml:msub><mml:mrow><mml:mi>O</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mi>t</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi>&#x003D1;</mml:mi></mml:mrow><mml:mrow><mml:mtext>&#x000A0;</mml:mtext></mml:mrow></mml:msub><mml:mi>I</mml:mi><mml:mi>n</mml:mi><mml:mi>s</mml:mi><mml:mi>Q</mml:mi><mml:msub><mml:mrow><mml:mi>y</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mi>t</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mfrac><mml:mo>&#x0003C;</mml:mo><mml:mn>0</mml:mn></mml:math></inline-formula>. Based on studies (<xref ref-type="bibr" rid="B12">12</xref>, <xref ref-type="bibr" rid="B21">21</xref>), we have taken energy productivity as the independent variable. Energy productivity has the potential to mitigate environmental degradation in the following ways. To begin, energy productivity results in a decrease in the import of fossil fuels, which results in a decrease in emissions. Additionally, it reduces energy expenses, and lastly, energy productivity reduces energy usage in the production of each unit, which ultimately improves environmental quality, therefore, <inline-formula><mml:math id="M4"><mml:msub><mml:mrow><mml:mi>&#x003D1;</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mfrac><mml:mrow><mml:msub><mml:mrow><mml:mi>&#x003D1;</mml:mi></mml:mrow><mml:mrow><mml:mtext>&#x000A0;</mml:mtext></mml:mrow></mml:msub><mml:mi>C</mml:mi><mml:mi>C</mml:mi><mml:msub><mml:mrow><mml:msub><mml:mrow><mml:mi>O</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mi>t</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi>&#x003D1;</mml:mi></mml:mrow><mml:mrow><mml:mtext>&#x000A0;</mml:mtext></mml:mrow></mml:msub><mml:mi>E</mml:mi><mml:mi>n</mml:mi><mml:mi>P</mml:mi><mml:msub><mml:mrow><mml:mi>d</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mi>t</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mfrac><mml:mo>&#x0003C;</mml:mo><mml:mn>0</mml:mn></mml:math></inline-formula>. We also included economic growth as a control variable in this study based on the studies of (<xref ref-type="bibr" rid="B41">41</xref>, <xref ref-type="bibr" rid="B58">58</xref>, <xref ref-type="bibr" rid="B59">59</xref>). Increased economic activity enhances the demand and usage of energy, which is increased carbon emissions, which contributes to environmental degradation. Economic development is inextricably linked to energy consumption and is projected to have an effect on CCO<sub>2</sub> emissions <inline-formula><mml:math id="M5"><mml:msub><mml:mrow><mml:mi>&#x003D1;</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mfrac><mml:mrow><mml:msub><mml:mrow><mml:mi>&#x003D1;</mml:mi></mml:mrow><mml:mrow><mml:mtext>&#x000A0;</mml:mtext></mml:mrow></mml:msub><mml:mi>C</mml:mi><mml:mi>C</mml:mi><mml:msub><mml:mrow><mml:msub><mml:mrow><mml:mi>O</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mi>t</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi>&#x003D1;</mml:mi></mml:mrow><mml:mrow><mml:mtext>&#x000A0;</mml:mtext></mml:mrow></mml:msub><mml:mi>G</mml:mi><mml:mi>D</mml:mi><mml:msub><mml:mrow><mml:mi>P</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mi>t</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mfrac><mml:mo>&#x0003E;</mml:mo><mml:mn>0</mml:mn><mml:mo>.</mml:mo></mml:math></inline-formula> We added imports as an independent variable in accordance with the studies of Safi et al. (<xref ref-type="bibr" rid="B42">42</xref>, <xref ref-type="bibr" rid="B56">56</xref>) and Liddle (<xref ref-type="bibr" rid="B23">23</xref>). Goods produced in other nations and utilized in the E-7 are predicted to have a valuable influence on CCO<sub>2</sub> emissions <inline-formula><mml:math id="M6"><mml:msub><mml:mrow><mml:mi>&#x003D1;</mml:mi></mml:mrow><mml:mrow><mml:mn>4</mml:mn></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mfrac><mml:mrow><mml:msub><mml:mrow><mml:mi>&#x003D1;</mml:mi></mml:mrow><mml:mrow><mml:mtext>&#x000A0;</mml:mtext></mml:mrow></mml:msub><mml:mi>C</mml:mi><mml:mi>C</mml:mi><mml:msub><mml:mrow><mml:msub><mml:mrow><mml:mi>O</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mi>t</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi>&#x003D1;</mml:mi></mml:mrow><mml:mrow><mml:mtext>&#x000A0;</mml:mtext></mml:mrow></mml:msub><mml:mi>I</mml:mi><mml:msub><mml:mrow><mml:mi>M</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mi>t</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mfrac><mml:mo>&#x0003E;</mml:mo><mml:mn>0</mml:mn></mml:math></inline-formula>. Following Safi et al. (<xref ref-type="bibr" rid="B25">25</xref>) and Wahab et al. (<xref ref-type="bibr" rid="B12">12</xref>), we encompassed exports as an explanatory variable in our analyses. Exports help to decrease carbon emissions because they are associated with the use of sophisticated technology, which results in lower energy consumption, and because exported items are consumed in another nation, which also results in reduced energy consumption (<xref ref-type="bibr" rid="B60">60</xref>). Therefore, we predict that exports will have a negative effect on CCO<sub>2</sub> emissions <inline-formula><mml:math id="M7"><mml:msub><mml:mrow><mml:mi>&#x003D1;</mml:mi></mml:mrow><mml:mrow><mml:mn>5</mml:mn></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mfrac><mml:mrow><mml:msub><mml:mrow><mml:mi>&#x003D1;</mml:mi></mml:mrow><mml:mrow><mml:mtext>&#x000A0;</mml:mtext></mml:mrow></mml:msub><mml:mi>C</mml:mi><mml:mi>C</mml:mi><mml:msub><mml:mrow><mml:msub><mml:mrow><mml:mi>O</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mi>t</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi>&#x003D1;</mml:mi></mml:mrow><mml:mrow><mml:mtext>&#x000A0;</mml:mtext></mml:mrow></mml:msub><mml:mi>E</mml:mi><mml:msub><mml:mrow><mml:mi>X</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mi>t</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mfrac><mml:mo>&#x0003C;</mml:mo><mml:mn>0</mml:mn></mml:math></inline-formula>. Lastly, we have taken eco-innovation as an independent variable in this research. Eco-innovations have a detrimental effect on environmental deterioration and contribute to environmental quality improvement <italic>via</italic> a variety of routes. Eco-innovations have the potential to significantly improve business performance, cut energy consumption, and improve environmental quality. Eco-innovation minimizes carbon emissions associated with consumption <italic>via</italic> the use of environmentally friendly or innovative technology that results in fewer CO<sub>2</sub> emissions. Thus, eco-innovation is anticipated to have an adverse effect on environmental degradation <inline-formula><mml:math id="M8"><mml:msub><mml:mrow><mml:mi>&#x003D1;</mml:mi></mml:mrow><mml:mrow><mml:mn>6</mml:mn></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mfrac><mml:mrow><mml:msub><mml:mrow><mml:mi>&#x003D1;</mml:mi></mml:mrow><mml:mrow><mml:mtext>&#x000A0;</mml:mtext></mml:mrow></mml:msub><mml:mi>C</mml:mi><mml:mi>C</mml:mi><mml:msub><mml:mrow><mml:msub><mml:mrow><mml:mi>O</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mi>t</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi>&#x003D1;</mml:mi></mml:mrow><mml:mrow><mml:mtext>&#x000A0;</mml:mtext></mml:mrow></mml:msub><mml:mi>E</mml:mi><mml:mi>c</mml:mi><mml:mi>o</mml:mi><mml:mi>I</mml:mi><mml:mi>n</mml:mi><mml:mi>o</mml:mi><mml:msub><mml:mrow><mml:mi>v</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mi>t</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mfrac><mml:mo>&#x0003C;</mml:mo><mml:mn>0</mml:mn></mml:math></inline-formula>. The predicted outcomes are as follows: &#x003D1;<sub>1</sub> &#x0003C; 0, &#x003D1;<sub>2</sub> &#x0003C; 0, &#x003D1;<sub>3</sub>&#x0003E;0,&#x003D1;<sub>4</sub>&#x0003E;0 &#x003D1;<sub>5</sub> &#x0003C; 0 and &#x003D1;<sub>6</sub> &#x0003C; 0.</p>
</sec>
<sec>
<title>Analytical Framework</title>
<p>Prior to assessing the data&#x00027;s stationarity, we investigated slope heterogeneity and cross-sectional dependence. Both these tests are important in determining the accurate unit root test for this research study. Moreover, it&#x00027;s important to employ these tests and choose a unit root test that can account for cross-sectional dependence (CD) and slope heterogeneity (SH). We performed the method put forward by Pesaran and Yamagata (<xref ref-type="bibr" rid="B61">61</xref>) to test for SH and Pesaran&#x00027;s (<xref ref-type="bibr" rid="B62">62</xref>) technique to check for CD in the panel data. The slope homogeneity equation can be given as:</p>
<disp-formula id="E2"><label>(2)</label><mml:math id="M9"><mml:mrow><mml:msub><mml:munder accentunder='true'><mml:mi>&#x00394;</mml:mi><mml:mo>_</mml:mo></mml:munder><mml:mrow><mml:mi>S</mml:mi><mml:mi>H</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mrow><mml:mo>(</mml:mo><mml:mi>N</mml:mi><mml:mo>)</mml:mo></mml:mrow><mml:mfrac><mml:mn>1</mml:mn><mml:mn>2</mml:mn></mml:mfrac><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:mn>2</mml:mn><mml:mi>k</mml:mi></mml:mrow><mml:mo>)</mml:mo></mml:mrow><mml:mo>&#x02212;</mml:mo><mml:mfrac><mml:mn>1</mml:mn><mml:mn>2</mml:mn></mml:mfrac><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:mfrac><mml:mn>1</mml:mn><mml:mi>N</mml:mi></mml:mfrac><mml:mtext>&#x000A0;</mml:mtext><mml:mover accent='true'><mml:mi>S</mml:mi><mml:mo>&#x0005E;</mml:mo></mml:mover><mml:mo>&#x02212;</mml:mo><mml:mi>k</mml:mi></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:math></disp-formula>
<disp-formula id="E3"><label>(3)</label><mml:math id="M10"><mml:mrow><mml:msub><mml:munder accentunder='true'><mml:mi>&#x00394;</mml:mi><mml:mo>_</mml:mo></mml:munder><mml:mrow><mml:mi>A</mml:mi><mml:mi>d</mml:mi><mml:mi>j</mml:mi><mml:mi>S</mml:mi><mml:mi>H</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mrow><mml:mo>(</mml:mo><mml:mi>N</mml:mi><mml:mo>)</mml:mo></mml:mrow><mml:mfrac><mml:mn>1</mml:mn><mml:mn>2</mml:mn></mml:mfrac><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:mfrac><mml:mrow><mml:mn>2</mml:mn><mml:mi>k</mml:mi><mml:mo stretchy='false'>(</mml:mo><mml:mi>T</mml:mi><mml:mo>&#x02212;</mml:mo><mml:mi>k</mml:mi><mml:mo>&#x02212;</mml:mo><mml:mn>1</mml:mn></mml:mrow><mml:mrow><mml:mi>T</mml:mi><mml:mo>+</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:mfrac></mml:mrow><mml:mo>)</mml:mo></mml:mrow><mml:mo>&#x02212;</mml:mo><mml:mfrac><mml:mn>1</mml:mn><mml:mn>2</mml:mn></mml:mfrac><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:mfrac><mml:mn>1</mml:mn><mml:mi>N</mml:mi></mml:mfrac><mml:mtext>&#x000A0;</mml:mtext><mml:mover accent='true'><mml:mi>S</mml:mi><mml:mo>&#x0005E;</mml:mo></mml:mover><mml:mo>&#x02212;</mml:mo><mml:mn>2</mml:mn><mml:mi>k</mml:mi></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:math></disp-formula>
<p>Where <underline>&#x00394;</underline><sub><italic>SH</italic></sub> and <underline>&#x00394;</underline><sub><italic>AdjSH</italic></sub> give the delta tilde and adjusted delta tilde, respectively.</p>
<p>After determining the SH and CD of the panel data, for unit root analysis, we adopted Pesaran&#x00027;s (<xref ref-type="bibr" rid="B62">62</xref>) cross-sectionally augmented IPS approach to determine the data stationarity we have gathered from various sources in this research study. The test used takes SH and CD into consideration. Additionally, the unit root results also provide drift and trend analysis. In this study, as cointegration analysis, we used Westerlund&#x00027;s (<xref ref-type="bibr" rid="B51">51</xref>) method to determine the link between institutional quality (InsQy), eco-innovation (EcoInov), and energy productivity (EnPd) and CCO<sub>2</sub> emissions in the existence of imports, exports, and GDP in context of E-7 nations. The reason for selecting this technique is due to the fact that traditional data analysis approaches, such as random effects and fixed effects regression analysis, may provide inaccurate results because they cannot accurately express cross-sectional dependence in the error terms. Thus, we used the cointegration analysis technique established by Westerlund (<xref ref-type="bibr" rid="B51">51</xref>) to evaluate the linkage among the variables.</p>
<p>For our study to evaluate the short-run and long-run association between the selected variables, we used CS-ARDL (Cross-Section Augmented Auto-Regressive distrusted lag Model), the method put forward by Chudik et al. (<xref ref-type="bibr" rid="B52">52</xref>). The basic equation for CS-ARDL is as follows:</p>
<disp-formula id="E4"><label>(4)</label><mml:math id="M11"><mml:mtable class="eqnarray" columnalign="right center left"><mml:mtr><mml:mtd><mml:msub><mml:mrow><mml:mi>J</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mi>t</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mtext>&#x000A0;</mml:mtext><mml:msubsup><mml:mrow><mml:mi>&#x003A3;</mml:mi></mml:mrow><mml:mrow><mml:mi>I</mml:mi><mml:mo>=</mml:mo><mml:mn>0</mml:mn></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi>p</mml:mi></mml:mrow><mml:mrow><mml:mi>j</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:msubsup><mml:msub><mml:mrow><mml:mi>&#x003B2;</mml:mi></mml:mrow><mml:mrow><mml:mi>I</mml:mi><mml:mo>,</mml:mo><mml:mi>i</mml:mi></mml:mrow></mml:msub><mml:msub><mml:mrow><mml:mi>J</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mi>t</mml:mi><mml:mo>-</mml:mo><mml:mi>I</mml:mi></mml:mrow></mml:msub><mml:mo>&#x0002B;</mml:mo><mml:msubsup><mml:mrow><mml:mi>&#x003A3;</mml:mi></mml:mrow><mml:mrow><mml:mi>I</mml:mi><mml:mo>=</mml:mo><mml:mn>0</mml:mn></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi>p</mml:mi></mml:mrow><mml:mrow><mml:mi>X</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:msubsup><mml:msub><mml:mrow><mml:mi>&#x003B4;</mml:mi></mml:mrow><mml:mrow><mml:mi>I</mml:mi><mml:mo>,</mml:mo><mml:mi>i</mml:mi></mml:mrow></mml:msub><mml:msub><mml:mrow><mml:mi>K</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mi>t</mml:mi><mml:mo>-</mml:mo><mml:mi>I</mml:mi></mml:mrow></mml:msub><mml:mtext>&#x000A0;</mml:mtext><mml:mo>&#x0002B;</mml:mo><mml:mtext>&#x000A0;</mml:mtext><mml:msub><mml:mrow><mml:mo>&#x02208;</mml:mo></mml:mrow><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mi>t</mml:mi></mml:mrow></mml:msub></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
<p>The above equation (4) gives the baseline equation for the CS-ARDL model; however, it does not address the problems of cross-section dependency, unobservable elements, non-stationarity, and slope heterogeneity. If we run the analysis in this equation, this will lead us to false and inaccurate results; therefore, the above equation is further extended to account for the factors mentioned above (<xref ref-type="bibr" rid="B52">52</xref>).</p>
<disp-formula id="E5"><label>(5)</label><mml:math id="M12"><mml:mtable class="eqnarray" columnalign="right center left"><mml:mtr><mml:mtd><mml:msub><mml:mrow><mml:mi>J</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mtext>&#x000A0;</mml:mtext><mml:msubsup><mml:mrow><mml:mi>&#x003A3;</mml:mi></mml:mrow><mml:mrow><mml:mi>I</mml:mi><mml:mo>=</mml:mo><mml:mn>0</mml:mn></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi>p</mml:mi></mml:mrow><mml:mrow><mml:mi>j</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:msubsup><mml:msub><mml:mrow><mml:mi>&#x003B2;</mml:mi></mml:mrow><mml:mrow><mml:mi>I</mml:mi><mml:mo>,</mml:mo><mml:mi>i</mml:mi></mml:mrow></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mrow><mml:mi>J</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mi>t</mml:mi><mml:mo>-</mml:mo><mml:mi>I</mml:mi></mml:mrow></mml:msub><mml:mo>&#x0002B;</mml:mo><mml:msubsup><mml:mrow><mml:mi>&#x003A3;</mml:mi></mml:mrow><mml:mrow><mml:mi>I</mml:mi><mml:mo>=</mml:mo><mml:mn>0</mml:mn></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi>p</mml:mi></mml:mrow><mml:mrow><mml:mi>k</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:msubsup><mml:msub><mml:mrow><mml:mi>&#x003B4;</mml:mi></mml:mrow><mml:mrow><mml:mi>I</mml:mi><mml:mo>,</mml:mo><mml:mi>i</mml:mi></mml:mrow></mml:msub><mml:msub><mml:mrow><mml:mi>K</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mi>t</mml:mi><mml:mo>-</mml:mo><mml:mi>I</mml:mi></mml:mrow></mml:msub><mml:mo>&#x0002B;</mml:mo><mml:msubsup><mml:mrow><mml:mi>&#x003A3;</mml:mi></mml:mrow><mml:mrow><mml:mi>I</mml:mi><mml:mo>=</mml:mo><mml:mn>0</mml:mn></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi>p</mml:mi></mml:mrow><mml:mrow><mml:mi>M</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:msubsup><mml:msub><mml:mrow><mml:msup><mml:mrow><mml:mi>&#x003C3;</mml:mi></mml:mrow><mml:mrow><mml:mi>&#x02032;</mml:mi></mml:mrow></mml:msup></mml:mrow><mml:mrow><mml:mi>i</mml:mi></mml:mrow></mml:msub><mml:mo>,</mml:mo><mml:mi>I</mml:mi><mml:msub><mml:mrow><mml:mover accent="false" class="mml-overline"><mml:mrow><mml:mi>M</mml:mi></mml:mrow><mml:mo accent="true">&#x000AF;</mml:mo></mml:mover></mml:mrow><mml:mrow><mml:mi>t</mml:mi><mml:mo>-</mml:mo><mml:mi>I</mml:mi></mml:mrow></mml:msub><mml:mo>&#x0002B;</mml:mo><mml:msub><mml:mrow><mml:mo>&#x02208;</mml:mo></mml:mrow><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mi>t</mml:mi></mml:mrow></mml:msub></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
<p>In the above equation (5) <inline-formula><mml:math id="M13"><mml:msub><mml:mrow><mml:mover accent="false" class="mml-overline"><mml:mrow><mml:mi>M</mml:mi></mml:mrow><mml:mo accent="true">&#x000AF;</mml:mo></mml:mover></mml:mrow><mml:mrow><mml:mi>t</mml:mi><mml:mo>-</mml:mo><mml:mi>I</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mover accent="false" class="mml-overline"><mml:mrow><mml:msub><mml:mrow><mml:mi>J</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mi>t</mml:mi><mml:mo>-</mml:mo><mml:mi>I</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mo accent="true">&#x000AF;</mml:mo></mml:mover><mml:mo>,</mml:mo><mml:mover accent="false" class="mml-overline"><mml:mrow><mml:msub><mml:mrow><mml:mi>K</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mi>t</mml:mi><mml:mo>-</mml:mo><mml:mi>I</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mo accent="true">&#x000AF;</mml:mo></mml:mover></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:math></inline-formula> gives us the averages, whereas the lags are shown using <italic>p</italic><sub><italic>j</italic></sub>, <italic>p</italic><sub><italic>k</italic></sub>, <italic>p</italic><sub><italic>M</italic></sub>. The dependent variable is shown in Eq. (5) by <italic>J</italic><sub><italic>it</italic></sub> which is CCO<sub>2</sub>, the independent variables InsQy, EcoInov, EnPd, IM, EX, GDP are denoted by <italic>K</italic><sub><italic>i, t</italic></sub>, for the trend or time <inline-formula><mml:math id="M14"><mml:mover accent="false" class="mml-overline"><mml:mrow><mml:mi>M</mml:mi></mml:mrow><mml:mo accent="true">&#x000AF;</mml:mo></mml:mover></mml:math></inline-formula> shows both cross-section and dummy averages. The long-run equation of CS-ARDL is as follows:</p>
<disp-formula id="E6"><label>(6)</label><mml:math id="M15"><mml:mtable class="eqnarray" columnalign="right center left"><mml:mtr><mml:mtd><mml:msub><mml:mrow><mml:mover accent="true"><mml:mrow><mml:mi>&#x003B2;</mml:mi></mml:mrow><mml:mo>^</mml:mo></mml:mover></mml:mrow><mml:mrow><mml:mi>C</mml:mi><mml:mi>S</mml:mi><mml:mo>-</mml:mo><mml:mi>A</mml:mi><mml:mi>R</mml:mi><mml:mi>D</mml:mi><mml:mi>L</mml:mi><mml:mo>,</mml:mo><mml:mi>i</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mtext>&#x000A0;</mml:mtext><mml:mfrac><mml:mrow><mml:msubsup><mml:mrow><mml:mi>&#x003A3;</mml:mi></mml:mrow><mml:mrow><mml:mi>I</mml:mi><mml:mo>=</mml:mo><mml:mn>0</mml:mn></mml:mrow><mml:mrow><mml:mi>p</mml:mi><mml:mi>K</mml:mi></mml:mrow></mml:msubsup><mml:msub><mml:mrow><mml:mover accent="true"><mml:mrow><mml:mi>&#x003B4;</mml:mi></mml:mrow><mml:mo>^</mml:mo></mml:mover></mml:mrow><mml:mrow><mml:mi>I</mml:mi><mml:mo>,</mml:mo><mml:mi>i</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:mn>1</mml:mn><mml:mo>-</mml:mo><mml:msubsup><mml:mrow><mml:mi>&#x003A3;</mml:mi></mml:mrow><mml:mrow><mml:mi>I</mml:mi><mml:mo>=</mml:mo><mml:mn>0</mml:mn></mml:mrow><mml:mrow><mml:mi>p</mml:mi><mml:mi>J</mml:mi></mml:mrow></mml:msubsup><mml:mover accent="false"><mml:mrow><mml:msub><mml:mrow><mml:mi>&#x003B2;</mml:mi></mml:mrow><mml:mrow><mml:mi>I</mml:mi><mml:mo>,</mml:mo><mml:mi>i</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mo>^</mml:mo></mml:mover></mml:mrow></mml:mfrac></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
<p>The mean group can be given as:</p>
<disp-formula id="E7"><label>(7)</label><mml:math id="M16"><mml:mtable class="eqnarray" columnalign="right center left"><mml:mtr><mml:mtd><mml:msub><mml:mrow><mml:mover accent="true"><mml:mrow><mml:mover accent="true"><mml:mrow><mml:mi>&#x003B2;</mml:mi></mml:mrow><mml:mo>&#x00304;</mml:mo></mml:mover></mml:mrow><mml:mo>^</mml:mo></mml:mover></mml:mrow><mml:mrow><mml:mi>J</mml:mi><mml:mi>G</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mtext>&#x000A0;</mml:mtext><mml:msubsup><mml:mrow><mml:mi>&#x003A3;</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn>1</mml:mn></mml:mrow><mml:mrow><mml:mi>N</mml:mi></mml:mrow></mml:msubsup><mml:mover accent="true"><mml:mrow><mml:msub><mml:mrow><mml:mi>&#x003B2;</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mo>^</mml:mo></mml:mover></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
<p>In the same way, we derived short-run coefficients in equation (8):</p>
<disp-formula id="E8"><mml:math id="M17"><mml:mrow><mml:mi>&#x00394;</mml:mi><mml:msub><mml:mi>J</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mi>t</mml:mi></mml:mrow></mml:msub><mml:mtext>&#x000A0;</mml:mtext><mml:mo>=</mml:mo><mml:msub><mml:mi>&#x003B2;</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo stretchy='false'>[</mml:mo><mml:msub><mml:mi>J</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mi>t</mml:mi><mml:mo>&#x02212;</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:msub><mml:mo>&#x02212;</mml:mo><mml:msub><mml:mi>&#x003B8;</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:msub><mml:mi>K</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mi>t</mml:mi></mml:mrow></mml:msub><mml:mo stretchy='false'>]</mml:mo><mml:mo>&#x02212;</mml:mo><mml:msubsup><mml:mi>&#x003A3;</mml:mi><mml:mrow><mml:mi>I</mml:mi><mml:mo>=</mml:mo><mml:mn>1</mml:mn></mml:mrow><mml:mrow><mml:msub><mml:mi>p</mml:mi><mml:mrow><mml:mi>J</mml:mi><mml:mo>&#x02212;</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:msubsup><mml:msub><mml:mi>&#x003B2;</mml:mi><mml:mrow><mml:mi>I</mml:mi><mml:mo>,</mml:mo><mml:mi>i</mml:mi></mml:mrow></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi>&#x00394;</mml:mi><mml:mi>I</mml:mi></mml:msub><mml:msub><mml:mi>J</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mi>t</mml:mi><mml:mo>&#x02212;</mml:mo><mml:mi>I</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></disp-formula>
<disp-formula id="E9"><label>(8)</label><mml:math id="M18"><mml:mtable class="eqnarray" columnalign="right center left"><mml:mtr><mml:mtd><mml:mo>&#x0002B;</mml:mo><mml:msubsup><mml:mrow><mml:mi>&#x003A3;</mml:mi></mml:mrow><mml:mrow><mml:mi>I</mml:mi><mml:mo>=</mml:mo><mml:mn>0</mml:mn></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi>p</mml:mi></mml:mrow><mml:mrow><mml:mi>K</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:msubsup><mml:msub><mml:mrow><mml:mi>&#x003B4;</mml:mi></mml:mrow><mml:mrow><mml:mi>I</mml:mi><mml:mo>,</mml:mo><mml:mi>i</mml:mi></mml:mrow></mml:msub><mml:msub><mml:mrow><mml:mi>&#x00394;</mml:mi></mml:mrow><mml:mrow><mml:mi>I</mml:mi></mml:mrow></mml:msub><mml:msub><mml:mrow><mml:mi>K</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mi>t</mml:mi></mml:mrow></mml:msub><mml:mo>&#x0002B;</mml:mo><mml:msubsup><mml:mrow><mml:mi>&#x003A3;</mml:mi></mml:mrow><mml:mrow><mml:mi>I</mml:mi><mml:mo>=</mml:mo><mml:mn>0</mml:mn></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi>p</mml:mi></mml:mrow><mml:mrow><mml:mi>M</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:msubsup><mml:msub><mml:mrow><mml:msup><mml:mrow><mml:mi>&#x003C3;</mml:mi></mml:mrow><mml:mrow><mml:mi>&#x02032;</mml:mi></mml:mrow></mml:msup></mml:mrow><mml:mrow><mml:mi>i</mml:mi></mml:mrow></mml:msub><mml:mo>,</mml:mo><mml:mi>I</mml:mi><mml:msub><mml:mrow><mml:mover accent="false" class="mml-overline"><mml:mrow><mml:mi>M</mml:mi></mml:mrow><mml:mo accent="true">&#x000AF;</mml:mo></mml:mover></mml:mrow><mml:mrow><mml:mi>t</mml:mi></mml:mrow></mml:msub><mml:mo>&#x0002B;</mml:mo><mml:msub><mml:mrow><mml:mi>&#x003B5;</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mi>t</mml:mi></mml:mrow></mml:msub></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
<disp-formula id="E10"><label>(8.1)</label><mml:math id="M19"><mml:mtable class="eqnarray" columnalign="right center left"><mml:mtr><mml:mtd><mml:mover accent="true"><mml:mrow><mml:msub><mml:mrow><mml:mi>&#x003B1;</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mo>^</mml:mo></mml:mover><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mn>1</mml:mn><mml:mo>-</mml:mo><mml:msubsup><mml:mrow><mml:mi>&#x003A3;</mml:mi></mml:mrow><mml:mrow><mml:mi>I</mml:mi><mml:mo>=</mml:mo><mml:mn>1</mml:mn></mml:mrow><mml:mrow><mml:mi>p</mml:mi><mml:mi>J</mml:mi></mml:mrow></mml:msubsup><mml:mover accent="false"><mml:mrow><mml:msub><mml:mrow><mml:mi>&#x003B2;</mml:mi></mml:mrow><mml:mrow><mml:mi>I</mml:mi><mml:mo>,</mml:mo><mml:mi>i</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mo>^</mml:mo></mml:mover></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
<disp-formula id="E11"><label>(8.2)</label><mml:math id="M20"><mml:mtable class="eqnarray" columnalign="right center left"><mml:mtr><mml:mtd><mml:msub><mml:mrow><mml:mover accent="true"><mml:mrow><mml:mi>&#x003B4;</mml:mi></mml:mrow><mml:mo>^</mml:mo></mml:mover></mml:mrow><mml:mrow><mml:mi>i</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mtext>&#x000A0;</mml:mtext><mml:mfrac><mml:mrow><mml:msubsup><mml:mrow><mml:mi>&#x003A3;</mml:mi></mml:mrow><mml:mrow><mml:mi>I</mml:mi><mml:mo>=</mml:mo><mml:mn>0</mml:mn></mml:mrow><mml:mrow><mml:mi>p</mml:mi><mml:mi>K</mml:mi></mml:mrow></mml:msubsup><mml:msub><mml:mrow><mml:mover accent="true"><mml:mrow><mml:mi>&#x003D1;</mml:mi></mml:mrow><mml:mo>^</mml:mo></mml:mover></mml:mrow><mml:mrow><mml:mi>I</mml:mi><mml:mo>,</mml:mo><mml:mi>i</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:mover accent="false"><mml:mrow><mml:msub><mml:mrow><mml:mi>&#x003B1;</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mo>^</mml:mo></mml:mover></mml:mrow></mml:mfrac></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
<disp-formula id="E12"><label>(8.3)</label><mml:math id="M21"><mml:mtable class="eqnarray" columnalign="right center left"><mml:mtr><mml:mtd><mml:msub><mml:mrow><mml:mover accent="true"><mml:mrow><mml:mover accent="true"><mml:mrow><mml:mi>&#x003B4;</mml:mi></mml:mrow><mml:mo>&#x00304;</mml:mo></mml:mover></mml:mrow><mml:mo>^</mml:mo></mml:mover></mml:mrow><mml:mrow><mml:mi>J</mml:mi><mml:mi>G</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:msubsup><mml:mrow><mml:mi>&#x003A3;</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn>1</mml:mn></mml:mrow><mml:mrow><mml:mi>N</mml:mi></mml:mrow></mml:msubsup><mml:mover accent="true"><mml:mrow><mml:msub><mml:mrow><mml:mi>&#x003B4;</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mo>^</mml:mo></mml:mover></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
<p>The long- and short-run estimations of the CS-ARDL model are given in equation (8), whereas ECM (-1) gives the speed of adjustment toward the equilibrium. The ECM values that are negative indicate convergence, whereas positive values of ECM indicate divergence. In addition, the outcome must be statistically significant. Additionally, to assess robustness, this analysis followed the AMG analysis (Augmented Mean Group) provided by the study of Eberhardt and Teal (<xref ref-type="bibr" rid="B63">63</xref>). Additionally, we used the Dumitrescu&#x02013;Hurlin causality analysis to demonstrate a unidirectional relationship from institutional quality, eco-innovation, energy productivity, exports, economic growth, and imports to CCO<sub>2</sub> emissions.</p>
</sec>
</sec>
<sec sec-type="results" id="s4">
<title>Results</title>
<p>The outcomes of the econometric methodologies covered in section three are reported in this section. First, the outcomes of slope heterogeneity (SH) and cross-section dependency (CD) tests are given to determine the test to be conducted in this research study. Based on the CD and SH test results, we can decide on cointegration and unit root tests, as unit root tests and cointegration tests from the first generation can give us misleading outcomes. Thus, we first employed advanced robust econometric approaches that can cope with CD and SH&#x00027;s problems. We employed the Pesaran (<xref ref-type="bibr" rid="B64">64</xref>) CD test analysis, and the findings are given in the <xref ref-type="table" rid="T2">Table 2</xref>. The results of the CD test show that panels in our data are dependent cross-sectionally with significant results of test statistics, and the high value suggests shock in one nation impacts other countries.</p>
<table-wrap position="float" id="T2">
<label>Table 2</label>
<caption><p>CD test analysis.</p></caption>
<table frame="hsides" rules="groups">
<thead><tr>
<th valign="top" align="left"><bold>Variables</bold></th>
<th valign="top" align="left"><bold>Cd-stat</bold></th>
<th valign="top" align="left"><bold>Meanabs</bold></th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">CCO<sub>2</sub></td>
<td valign="top" align="left">13.807&#x0002A;&#x0002A;&#x0002A;</td>
<td valign="top" align="left">0.562</td>
</tr>
<tr>
<td valign="top" align="left">GDP</td>
<td valign="top" align="left">22.072&#x0002A;&#x0002A;&#x0002A;</td>
<td valign="top" align="left">0.894</td>
</tr>
<tr>
<td valign="top" align="left">IMP</td>
<td valign="top" align="left">5.529&#x0002A;&#x0002A;&#x0002A;</td>
<td valign="top" align="left">0.452</td>
</tr>
<tr>
<td valign="top" align="left">EXP</td>
<td valign="top" align="left">6.996&#x0002A;&#x0002A;&#x0002A;</td>
<td valign="top" align="left">0.396</td>
</tr>
<tr>
<td valign="top" align="left">EnPd</td>
<td valign="top" align="left">10.259&#x0002A;&#x0002A;&#x0002A;</td>
<td valign="top" align="left">0.708</td>
</tr>
<tr>
<td valign="top" align="left">EcoInov</td>
<td valign="top" align="left">2.127&#x0002A;&#x0002A;&#x0002A;</td>
<td valign="top" align="left">0.218</td>
</tr>
<tr>
<td valign="top" align="left">InsQy</td>
<td valign="top" align="left">&#x02212;2.661&#x0002A;&#x0002A;&#x0002A;</td>
<td valign="top" align="left">0.439</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p><italic>Asterisks &#x0002A;&#x0002A;&#x0002A; show a 1% level of significance</italic>.</p>
</table-wrap-foot>
</table-wrap>
<p>Similarly, model (1)-(3) gives the SH test results in <xref ref-type="table" rid="T3">Table 3</xref>. The findings of (1) to (3) are significant at a 1% significance level. Consequently, the null hypothesis of slope homogeneity is rejected. The findings of SH suggest that among the cross-sections, there are heterogeneity problems.</p>
<table-wrap position="float" id="T3">
<label>Table 3</label>
<caption><p>Slope heterogeneity test.</p></caption>
<table frame="hsides" rules="groups">
<thead><tr>
<th valign="top" align="left"><bold>Models</bold></th>
<th valign="top" align="left"><bold>Variables</bold></th>
<th valign="top" align="center"><bold>Stat</bold></th>
<th valign="top" align="center"><bold>Values</bold></th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">Model 1</td>
<td valign="top" align="left">CCO<sub>2</sub> GDP IMP EXP EcoInov</td>
<td valign="top" align="center"><inline-formula><mml:math id="M22"><mml:mover accent="false"><mml:mrow><mml:mi>&#x00394;</mml:mi></mml:mrow><mml:mo>&#x0007E;</mml:mo></mml:mover></mml:math></inline-formula></td>
<td valign="top" align="center">9.772375&#x0002A;&#x0002A;&#x0002A;</td>
</tr>
<tr>
<td/>
<td/>
<td valign="top" align="center"><inline-formula><mml:math id="M23"><mml:msub><mml:mrow><mml:mover accent="false"><mml:mrow><mml:mi>&#x00394;</mml:mi></mml:mrow><mml:mo>&#x0007E;</mml:mo></mml:mover></mml:mrow><mml:mrow><mml:mi>A</mml:mi><mml:mi>d</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msub></mml:math></inline-formula></td>
<td valign="top" align="center">11.00957&#x0002A;&#x0002A;&#x0002A;</td>
</tr>
<tr>
<td valign="top" align="left">Model 2</td>
<td valign="top" align="left">CCO<sub>2</sub> GDP IMP EXP EcoInov EnPd</td>
<td valign="top" align="center"><inline-formula><mml:math id="M24"><mml:mover accent="false"><mml:mrow><mml:mi>&#x00394;</mml:mi></mml:mrow><mml:mo>&#x0007E;</mml:mo></mml:mover></mml:math></inline-formula></td>
<td valign="top" align="center">9.765034&#x0002A;&#x0002A;&#x0002A;</td>
</tr>
<tr>
<td/>
<td/>
<td valign="top" align="center"><inline-formula><mml:math id="M25"><mml:msub><mml:mrow><mml:mover accent="false"><mml:mrow><mml:mi>&#x00394;</mml:mi></mml:mrow><mml:mo>&#x0007E;</mml:mo></mml:mover></mml:mrow><mml:mrow><mml:mi>A</mml:mi><mml:mi>d</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msub></mml:math></inline-formula></td>
<td valign="top" align="center">11.25676&#x0002A;&#x0002A;&#x0002A;</td>
</tr>
<tr>
<td valign="top" align="left">Model 3</td>
<td valign="top" align="left">CCO<sub>2</sub> GDP IMP EXP EcoInov EnPd InsQy</td>
<td valign="top" align="center"><inline-formula><mml:math id="M26"><mml:mover accent="false"><mml:mrow><mml:mi>&#x00394;</mml:mi></mml:mrow><mml:mo>&#x0007E;</mml:mo></mml:mover></mml:math></inline-formula></td>
<td valign="top" align="center">9.417859&#x0002A;&#x0002A;&#x0002A;</td>
</tr>
<tr>
<td/>
<td/>
<td valign="top" align="center"><inline-formula><mml:math id="M27"><mml:msub><mml:mrow><mml:mover accent="false"><mml:mrow><mml:mi>&#x00394;</mml:mi></mml:mrow><mml:mo>&#x0007E;</mml:mo></mml:mover></mml:mrow><mml:mrow><mml:mi>A</mml:mi><mml:mi>d</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msub></mml:math></inline-formula></td>
<td valign="top" align="center">11.12092&#x0002A;&#x0002A;&#x0002A;</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p><italic>Asterisks &#x0002A;&#x0002A;&#x0002A; show a 1% level of significance</italic>.</p>
</table-wrap-foot>
</table-wrap>
<p>We employed Pesaran&#x00027;s (<xref ref-type="bibr" rid="B62">62</xref>) cross-sectionally augmented IPS method to test the stationarity of the data. Furthermore, the test findings incorporate the intercept and trend. The results for the unit root test are given in <xref ref-type="table" rid="T4">Table 4</xref>. The panel unit root results reveal that all indicators are stationary at 1st difference with the exception of CCO<sub>2</sub> and eco-innovation (EcoInov), which were found significant at level. Following Safi et al. (<xref ref-type="bibr" rid="B25">25</xref>, <xref ref-type="bibr" rid="B56">56</xref>) and Khan et al. (<xref ref-type="bibr" rid="B65">65</xref>), for the mix order stationarity, this study used the panel cointegration analysis of Westerlund (<xref ref-type="bibr" rid="B51">51</xref>) and the CS-ARDL econometric model that not only can deal with mix-order of integration but also accounts for slope heterogeneity and cross-sectional dependency of the panels.</p>
<table-wrap position="float" id="T4">
<label>Table 4</label>
<caption><p>Unit root test.</p></caption>
<table frame="hsides" rules="groups">
<thead><tr>
<th valign="top" align="left"><bold>Variables</bold></th>
<th valign="top" align="center" colspan="2" style="border-bottom: thin solid #000000;"><bold>At level I (0)</bold></th>
<th valign="top" align="center" colspan="2" style="border-bottom: thin solid #000000;"><bold>At first difference, I (1)</bold></th>
</tr>
<tr>
<th/>
<th valign="top" align="center"><bold>Intercept</bold></th>
<th valign="top" align="center"><bold>Intercept and</bold></th>
<th valign="top" align="center"><bold>Intercept</bold></th>
<th valign="top" align="center"><bold>Intercept and</bold></th>
</tr>
<tr>
<th/>
<th/>
<th valign="top" align="center"><bold>trend</bold></th>
<th/>
<th valign="top" align="center"><bold>trend</bold></th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">CCO<sub>2</sub></td>
<td valign="top" align="center">&#x02212;3.457&#x0002A;&#x0002A;&#x0002A;</td>
<td valign="top" align="center">&#x02212;3.296&#x0002A;&#x0002A;&#x0002A;</td>
<td valign="top" align="center">&#x02212;4.368989&#x0002A;&#x0002A;&#x0002A;</td>
<td valign="top" align="center">&#x02212;4.667316&#x0002A;&#x0002A;&#x0002A;</td>
</tr>
<tr>
<td valign="top" align="left">GDP</td>
<td valign="top" align="center">&#x02212;1.373426</td>
<td valign="top" align="center">&#x02212;1.210632</td>
<td valign="top" align="center">&#x02212;2.934399&#x0002A;&#x0002A;&#x0002A;</td>
<td valign="top" align="center">&#x02212;3.295852&#x0002A;&#x0002A;&#x0002A;</td>
</tr>
<tr>
<td valign="top" align="left">IMP</td>
<td valign="top" align="center">&#x02212;1.922559</td>
<td valign="top" align="center">&#x02212;2.478043</td>
<td valign="top" align="center">&#x02212;4.542213&#x0002A;&#x0002A;&#x0002A;</td>
<td valign="top" align="center">&#x02212;4.581494&#x0002A;&#x0002A;&#x0002A;</td>
</tr>
<tr>
<td valign="top" align="left">EXP</td>
<td valign="top" align="center">&#x02212;1.573971</td>
<td valign="top" align="center">&#x02212;2.281165</td>
<td valign="top" align="center">&#x02212;4.367194&#x0002A;&#x0002A;&#x0002A;</td>
<td valign="top" align="center">&#x02212;4.498726&#x0002A;&#x0002A;&#x0002A;</td>
</tr>
<tr>
<td valign="top" align="left">EcoInov</td>
<td valign="top" align="center">&#x02212;3.965779&#x0002A;&#x0002A;&#x0002A;</td>
<td valign="top" align="center">&#x02212;4.140779&#x0002A;&#x0002A;&#x0002A;</td>
<td valign="top" align="center">&#x02212;5.844922&#x0002A;&#x0002A;&#x0002A;</td>
<td valign="top" align="center">&#x02212;5.967767&#x0002A;&#x0002A;&#x0002A;</td>
</tr>
<tr>
<td valign="top" align="left">EnPd</td>
<td valign="top" align="center">&#x02212;2.077191</td>
<td valign="top" align="center">&#x02212;1.979793</td>
<td valign="top" align="center">&#x02212;3.591024&#x0002A;&#x0002A;&#x0002A;</td>
<td valign="top" align="center">&#x02212;4.016477&#x0002A;&#x0002A;&#x0002A;</td>
</tr>
<tr>
<td valign="top" align="left">InsQy</td>
<td valign="top" align="center">&#x02212;1.049</td>
<td valign="top" align="center">&#x02212;2.256349</td>
<td valign="top" align="center">&#x02212;3.17351&#x0002A;&#x0002A;&#x0002A;</td>
<td valign="top" align="center">&#x02212;3.296686&#x0002A;&#x0002A;&#x0002A;</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p><italic>Asterisks &#x0002A;&#x0002A;&#x0002A; show a 1% level of significance</italic>.</p>
</table-wrap-foot>
</table-wrap>
<p><xref ref-type="table" rid="T5">Table 5</xref> presents the results of the Westerlund cointegration analysis performed using the approach set out by Westerlund (<xref ref-type="bibr" rid="B51">51</xref>). The findings are given in the model (1)-(3), the mean group statistics are provided by Gt and Ga, and Pt and Pa provide the entire panel statistics. The findings for the models reveal a substantial long-run association between Institutional quality, eco-innovation, energy productivity, imports, exports, GDP, and CCO<sub>2</sub> emissions at a 1 and 5% significance level.</p>
<table-wrap position="float" id="T5">
<label>Table 5</label>
<caption><p>Panel cointegration test.</p></caption>
<table frame="hsides" rules="groups">
<thead><tr>
<th/>
<th valign="top" align="center" colspan="2"><bold>(1) CCO</bold><sub><bold><bold>2</bold></bold></sub> <bold>GDP</bold></th>
<th valign="top" align="center" colspan="2"><bold>(2) CCO</bold><sub><bold><bold>2</bold></bold></sub> <bold>GDP IMP</bold></th>
<th valign="top" align="center" colspan="2"><bold>(3) CCO</bold><sub><bold><bold>2</bold></bold></sub> <bold>GDP</bold></th>
</tr>
<tr>
<th/>
<th valign="top" align="center" colspan="2"><bold>IMP EXP</bold></th>
<th valign="top" align="center" colspan="2"><bold>EXP Eco</bold></th>
<th valign="top" align="center" colspan="2"><bold>IMP EXP EcoInov</bold></th>
</tr>
<tr>
<th/>
<th valign="top" align="center" colspan="2" style="border-bottom: thin solid #000000;"><bold>EcoInov</bold></th>
<th valign="top" align="center" colspan="2" style="border-bottom: thin solid #000000;"><bold>Inov EnPd</bold></th>
<th valign="top" align="center" colspan="2" style="border-bottom: thin solid #000000;"><bold>EnPd InsQy</bold></th>
</tr>
<tr>
<th valign="top" align="left"><bold>Statistic</bold></th>
<th valign="top" align="center"><bold>Value</bold></th>
<th valign="top" align="center"><bold>Zt</bold></th>
<th valign="top" align="center"><bold>Value</bold></th>
<th valign="top" align="center"><bold>Zt</bold></th>
<th valign="top" align="center"><bold>Value</bold></th>
<th valign="top" align="center"><bold>Zt</bold></th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">Gt</td>
<td valign="top" align="center">&#x02212;7.803&#x0002A;&#x0002A;&#x0002A;</td>
<td valign="top" align="center">&#x02212;14.983</td>
<td valign="top" align="center">&#x02212;7.939&#x0002A;&#x0002A;&#x0002A;</td>
<td valign="top" align="center">&#x02212;14.929</td>
<td valign="top" align="center">&#x02212;7.051&#x0002A;&#x0002A;&#x0002A;</td>
<td valign="top" align="center">&#x02212;11.994</td>
</tr>
<tr>
<td valign="top" align="left">Ga</td>
<td valign="top" align="center">&#x02212;25.816&#x0002A;&#x0002A;&#x0002A;</td>
<td valign="top" align="center">&#x02212;5.929</td>
<td valign="top" align="center">&#x02212;25.710&#x0002A;&#x0002A;&#x0002A;</td>
<td valign="top" align="center">&#x02212;4.819</td>
<td valign="top" align="center">&#x02212;20.013&#x0002A;&#x0002A;</td>
<td valign="top" align="center">&#x02212;1.952</td>
</tr>
<tr>
<td valign="top" align="left">Pt</td>
<td valign="top" align="center">&#x02212;25.984&#x0002A;&#x0002A;&#x0002A;</td>
<td valign="top" align="center">&#x02212;17.1331</td>
<td valign="top" align="center">&#x02212;24.771&#x0002A;&#x0002A;&#x0002A;</td>
<td valign="top" align="center">&#x02212;16.196</td>
<td valign="top" align="center">&#x02212;18.568&#x0002A;&#x0002A;&#x0002A;</td>
<td valign="top" align="center">&#x02212;10.846</td>
</tr>
<tr>
<td valign="top" align="left">Pa</td>
<td valign="top" align="center">&#x02212;29.858&#x0002A;&#x0002A;&#x0002A;</td>
<td valign="top" align="center">&#x02212;8.5926</td>
<td valign="top" align="center">&#x02212;27.206&#x0002A;&#x0002A;&#x0002A;</td>
<td valign="top" align="center">&#x02212;6.379</td>
<td valign="top" align="center">&#x02212;23.674&#x0002A;&#x0002A;&#x0002A;</td>
<td valign="top" align="center">&#x02212;4.1293</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p><italic>Asterisks &#x0002A;&#x0002A;&#x0002A; and &#x0002A;&#x0002A; shows 1 and 5% level of significance</italic>.</p>
</table-wrap-foot>
</table-wrap>
<p>After verifying a long-run linkage amongst the variables, to assess the magnitude of the long and short-run connection for each factor, we employed the CS-ARDL approach. The findings in <xref ref-type="table" rid="T6">Table 6</xref> reveal that all factors such as institutional quality (InsQy), Eco-innovation (EcoInov), energy productivity (EnPd), Imports (IM), and Exports (EX) and GDP have a substantial influence on CCO<sub>2</sub> emissions. The result in model (3) reveals that in the short-run InsQy, EcoInov, EnPd, and EX have a substantial negative influence on CCO<sub>2</sub> emissions with coefficients of &#x02212;0.0061, &#x02212;0.0282, &#x02212;0.7486, and &#x02212;0.3789, respectively. This suggests an increase in institutional quality, energy productivity, exports, and eco-innovation lower CO<sub>2</sub> emissions in the E-7 group of countries. In contrast, economic growth and imports have a strong positive effect on CCO<sub>2</sub> emissions with values of 0.5412 and 0.1142, respectively, showing an increase in GDP and imports boosts E-7 economies&#x00027; CO<sub>2</sub> emissions. Model (3) also gives the long-run coefficients for InsQy, EcoInov, EnPd, EX, IM and GDP that are &#x02212;0.0041, &#x02212;0.0320, &#x02212;0.8806, &#x02212;0.3895, 0.1189, and 0.5739, respectively.</p>
<table-wrap position="float" id="T6">
<label>Table 6</label>
<caption><p>CS-ARDL.</p></caption>
<table frame="hsides" rules="groups">
<thead><tr>
<th/>
<th valign="top" align="center"><bold>(1)</bold></th>
<th valign="top" align="center"><bold>(2)</bold></th>
<th valign="top" align="center"><bold>(3)</bold></th>
</tr>
<tr>
<th valign="top" align="left"><bold>Variables</bold></th>
<th valign="top" align="center"><bold>CCO<sub><bold>2</bold></sub></bold></th>
<th valign="top" align="center"><bold>CCO<sub><bold>2</bold></sub></bold></th>
<th valign="top" align="center"><bold>CCO<sub><bold>2</bold></sub></bold></th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">&#x00394;IMP</td>
<td valign="top" align="center">0.2466&#x0002A;&#x0002A;&#x0002A;</td>
<td valign="top" align="center">0.1155&#x0002A;</td>
<td valign="top" align="center">0.1142&#x0002A;</td>
</tr>
<tr>
<td/>
<td valign="top" align="center">(0.0608)</td>
<td valign="top" align="center">(0.0677)</td>
<td valign="top" align="center">(0.0569)</td>
</tr>
<tr>
<td valign="top" align="left">&#x00394;EXP</td>
<td valign="top" align="center">&#x02212;0.3528&#x0002A;&#x0002A;&#x0002A;</td>
<td valign="top" align="center">&#x02212;0.2716&#x0002A;&#x0002A;&#x0002A;</td>
<td valign="top" align="center">&#x02212;0.3789&#x0002A;&#x0002A;&#x0002A;</td>
</tr>
<tr>
<td/>
<td valign="top" align="center">(0.0983)</td>
<td valign="top" align="center">(0.0750)</td>
<td valign="top" align="center">(0.0906)</td>
</tr>
<tr>
<td valign="top" align="left">&#x00394;GDP</td>
<td valign="top" align="center">0.5479&#x0002A;&#x0002A;&#x0002A;</td>
<td valign="top" align="center">0.4712&#x0002A;&#x0002A;&#x0002A;</td>
<td valign="top" align="center">0.5412&#x0002A;&#x0002A;&#x0002A;</td>
</tr>
<tr>
<td/>
<td valign="top" align="center">(0.1403)</td>
<td valign="top" align="center">(0.1132)</td>
<td valign="top" align="center">(0.1555)</td>
</tr>
<tr>
<td valign="top" align="left">&#x00394;EcoInov</td>
<td valign="top" align="center">&#x02212;0.0157&#x0002A;</td>
<td valign="top" align="center">&#x02212;0.0342&#x0002A;&#x0002A;&#x0002A;</td>
<td valign="top" align="center">&#x02212;0.0282&#x0002A;</td>
</tr>
<tr>
<td/>
<td valign="top" align="center">(0.0081)</td>
<td valign="top" align="center">(0.0099)</td>
<td valign="top" align="center">(0.0151)</td>
</tr>
<tr>
<td valign="top" align="left">&#x00394;InsQy</td>
<td/>
<td valign="top" align="center">&#x02212;0.0029&#x0002A;&#x0002A;</td>
<td valign="top" align="center">&#x02212;0.0061&#x0002A;&#x0002A;</td>
</tr>
<tr>
<td/>
<td/>
<td valign="top" align="center">(0.0014)</td>
<td valign="top" align="center">(0.0030)</td>
</tr>
<tr>
<td valign="top" align="left">&#x00394;EnPd</td>
<td/>
<td/>
<td valign="top" align="center">&#x02212;0.7486&#x0002A;&#x0002A;&#x0002A;</td>
</tr>
<tr>
<td/>
<td/>
<td/>
<td valign="top" align="center">(0.2697)</td>
</tr>
<tr>
<td valign="top" align="left">ECM (-1)</td>
<td valign="top" align="center">&#x02212;0.9123&#x0002A;&#x0002A;&#x0002A;</td>
<td valign="top" align="center">&#x02212;0.8383&#x0002A;&#x0002A;&#x0002A;</td>
<td valign="top" align="center">&#x02212;0.9984&#x0002A;&#x0002A;&#x0002A;</td>
</tr>
<tr>
<td/>
<td valign="top" align="center">(0.0473)</td>
<td valign="top" align="center">(0.0823)</td>
<td valign="top" align="center">(0.0819)</td>
</tr>
<tr>
<td valign="top" align="left"><bold>Long-Run</bold></td>
<td/>
<td/>
<td/>
</tr>
<tr>
<td valign="top" align="left">GDP</td>
<td valign="top" align="center">0.6438&#x0002A;&#x0002A;&#x0002A;</td>
<td valign="top" align="center">0.6105&#x0002A;&#x0002A;&#x0002A;</td>
<td valign="top" align="center">0.5739&#x0002A;&#x0002A;&#x0002A;</td>
</tr>
<tr>
<td/>
<td valign="top" align="center">(0.2080)</td>
<td valign="top" align="center">(0.1721)</td>
<td valign="top" align="center">(0.1739)</td>
</tr>
<tr>
<td valign="top" align="left">EXP</td>
<td valign="top" align="center">&#x02212;0.4043&#x0002A;&#x0002A;&#x0002A;</td>
<td valign="top" align="center">&#x02212;0.3083&#x0002A;&#x0002A;&#x0002A;</td>
<td valign="top" align="center">&#x02212;0.3895&#x0002A;&#x0002A;&#x0002A;</td>
</tr>
<tr>
<td/>
<td valign="top" align="center">(0.1176)</td>
<td valign="top" align="center">(0.0819)</td>
<td valign="top" align="center">(0.0964)</td>
</tr>
<tr>
<td valign="top" align="left">IMP</td>
<td valign="top" align="center">0.2735&#x0002A;&#x0002A;&#x0002A;</td>
<td valign="top" align="center">0.1758&#x0002A;</td>
<td valign="top" align="center">0.1189&#x0002A;&#x0002A;</td>
</tr>
<tr>
<td/>
<td valign="top" align="center">(0.0692)</td>
<td valign="top" align="center">(0.0892)</td>
<td valign="top" align="center">(0.0588)</td>
</tr>
<tr>
<td valign="top" align="left">EcoInov</td>
<td valign="top" align="center">&#x02212;0.0174&#x0002A;</td>
<td valign="top" align="center">&#x02212;0.0384&#x0002A;&#x0002A;&#x0002A;</td>
<td valign="top" align="center">&#x02212;0.0320&#x0002A;</td>
</tr>
<tr>
<td/>
<td valign="top" align="center">(0.0092)</td>
<td valign="top" align="center">(0.0109)</td>
<td valign="top" align="center">(0.0181)</td>
</tr>
<tr>
<td valign="top" align="left">InsQy</td>
<td/>
<td valign="top" align="center">&#x02212;0.0038&#x0002A;&#x0002A;</td>
<td valign="top" align="center">&#x02212;0.0041&#x0002A;&#x0002A;</td>
</tr>
<tr>
<td/>
<td/>
<td valign="top" align="center">(0.0018)</td>
<td valign="top" align="center">(0.0020)</td>
</tr>
<tr>
<td valign="top" align="left">EnPd</td>
<td/>
<td/>
<td valign="top" align="center">&#x02212;0.8806&#x0002A;&#x0002A;</td>
</tr>
<tr>
<td/>
<td/>
<td/>
<td valign="top" align="center">(0.4032)</td>
</tr>
<tr>
<td valign="top" align="left">F</td>
<td valign="top" align="center">1.5671&#x0002A;&#x0002A;</td>
<td valign="top" align="center">2.7239&#x0002A;&#x0002A;&#x0002A;</td>
<td valign="top" align="center">1.6320&#x0002A;&#x0002A;</td>
</tr>
<tr>
<td valign="top" align="left">CD-Stat</td>
<td valign="top" align="center">&#x02212;1.7289&#x0002A;</td>
<td valign="top" align="center">&#x02212;2.7497&#x0002A;&#x0002A;&#x0002A;</td>
<td valign="top" align="center">&#x02212;1.7570&#x0002A;</td>
</tr>
<tr>
<td/>
<td valign="top" align="center">[0.0838]</td>
<td valign="top" align="center">[0.0060]</td>
<td valign="top" align="center">[0.0789]</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p><italic>The standard errors are in parentheses, in the CD stat row, the brackets [] give the p-values, and Asterisks &#x0002A;, &#x0002A;&#x0002A;, &#x0002A;&#x0002A;&#x0002A; show the significance level at 10, 5 and 1 percent</italic>.</p>
</table-wrap-foot>
</table-wrap>
<p>The empirical results of institutional quality (InsQy) in <xref ref-type="table" rid="T6">Table 6</xref> indicate a negative linkage with CCO<sub>2</sub> emissions. Model (3) results show that InsQy causes a &#x02212;0.0061 percent decrease in CCO<sub>2</sub> emissions in the short term. This relationship is similar in the long term when InsQy results in an average decline of &#x02212;0.0041percent in CCO<sub>2</sub> emissions. The results revealed that the increase in institutional quality in both the short and long-run significantly reduces CCO<sub>2</sub> emission in E-7 economies. The logical reasoning for that is that institutions are mainly based on regulations, rules, and laws, which can act as an important medium to achieve the goal of sustainable development goals. Institutions in a country can help implement rules and regulations related to the environment, which can lower CO<sub>2</sub> emissions and improve environmental quality. Similarly, countries with high institutional quality can boost their economy and keep in check high pollutant industries. Therefore, institutions play a vital role <italic>via</italic> rules, regulations, and laws implementation that ultimately affects carbon emission. Thus increase in institutional quality enhances the quality of the environment, and these results are also in line with the findings of Ibrahim and Law (<xref ref-type="bibr" rid="B31">31</xref>) and Mehmood et al. (<xref ref-type="bibr" rid="B34">34</xref>). In contrast, these findings contradict the studies, i.e., (<xref ref-type="bibr" rid="B33">33</xref>) that argue that institutional quality leads to a rise in CO<sub>2</sub> emission.</p>
<p>The results also show that eco-innovation negatively affects CCO<sub>2</sub> emission both in the long and short run. Eco-innovation causes a &#x02212;0.0282 percent decrease in CCO<sub>2</sub> in the short term. This relationship is similar in the long term, where Eco-innovation results in an average decline of &#x02212;0.0320 percent in CCO<sub>2</sub>. The results revealed that an increase in the use of environment-related technological innovation leads to a decrease in energy consumption and lower carbon emissions. Eco-innovations have a detrimental effect on environmental deterioration and contribute to environmental quality improvement <italic>via</italic> a variety of routes. Eco-innovations have the potential to significantly improve business performance, cut energy consumption, and improve environmental quality. Eco-innovation minimizes carbon emissions associated with consumption <italic>via</italic> the use of environmentally friendly or innovative technology that results in fewer CO<sub>2</sub> emissions. These results are also in line with the previously published studies by Ali et al. (<xref ref-type="bibr" rid="B44">44</xref>), Zhang et al. (<xref ref-type="bibr" rid="B43">43</xref>), and Khan et al. (<xref ref-type="bibr" rid="B53">53</xref>).</p>
<p>The results in model (3) for energy productivity (EnPd) also show a significant linkage with CCO<sub>2</sub> emissions both in the long and short-run estimation. Energy productivity causes a &#x02212;0.7486 percent decrease in CCO<sub>2</sub> in the short term. This relationship is higher in the long term, where EnPd results in an average decline of &#x02212;0.8806 percent in CCO<sub>2</sub> emissions. The results revealed that an increase in the energy efficiency of E-7 nations leads to a decrease in the usage of energy that lowers CO<sub>2</sub> emissions. Energy Productivity results in a decrease in the import of fossil fuels, which results in a decrease in emissions. Second, it reduces energy expenses, and lastly, energy productivity reduces energy usage in the production of each unit, which ultimately improves environmental quality. Our findings are similar to previous studies (<xref ref-type="bibr" rid="B12">12</xref>, <xref ref-type="bibr" rid="B21">21</xref>), which conducted a similar study for G-7 economies. Our findings are also in line with the study of Amin et al. (<xref ref-type="bibr" rid="B66">66</xref>), who conducted a study on N-11 economies showing that energy productivity significantly decreases CCO<sub>2</sub> emissions.</p>
<p>The results for economic growth in the model (1) to (3) show that it positively affects carbon emission both in the long and short run. Model (3) results reveal that economic growth causes a 0.5412 percent rise in CCO<sub>2</sub> in the short term. This relationship is a little higher in the long term when economic growth results in an average rise of 0.5739 percent in CCO<sub>2</sub> emissions. Increased economic activity increases the demand and usage of energy, the outcome of which is increased carbon emissions, which contribute to environmental degradation. Economic growth is inextricably related to energy consumption and enhances CCO<sub>2</sub> emissions. Our findings are similar to (<xref ref-type="bibr" rid="B35">35</xref>, <xref ref-type="bibr" rid="B41">41</xref>, <xref ref-type="bibr" rid="B59">59</xref>).</p>
<p>Lastly, imports and exports results are given in <xref ref-type="table" rid="T6">Table 6</xref> from the model (1) to (3). Imports greatly boost the E-7 nations&#x00027; CCO<sub>2</sub> emissions. Import rises carbon emission by 0.1142 percent and 0.1189 percent, respectively, in the short and long term. The findings reveal that the E-7 nations import energy-intensive items. The point clarifies the results that commodities manufactured in other states, imported and used in the E-7 nations, affect consumption and, ultimately, carbon emission. By contrast, exports have a detrimental influence on carbon emissions, with a &#x02212;0.3789 and &#x02212;0.3895 percent decline in CCO<sub>2</sub> is caused by exports of E-7 countries. since commodities factory-made in E-7 nations and exported and consumed in other nations help lower E-7 economies&#x00027; CO<sub>2</sub> emissions and enhances the quality of the environment. These findings are similar to that of previous studies (<xref ref-type="bibr" rid="B12">12</xref>, <xref ref-type="bibr" rid="B56">56</xref>, <xref ref-type="bibr" rid="B60">60</xref>).</p>
<p>We employed the AMG analysis to test for the robustness of the CS-ARDL results. Model (1) to (3) in <xref ref-type="table" rid="T7">Table 7</xref> gives the detailed results of all the variables. The results in Model (3) show that eco-innovation, intuitional quality, energy productivity, and exports significantly decrease carbon emissions with the values of the coefficients &#x02212;0.0832, 0.005, &#x02212;0.731, and &#x02212;0.346, respectively. In contrast to this, imports and economic growth enhance CCO<sub>2</sub> emissions with coefficients of 0.173 and 0.791. These results also confirmed the results previously obtained using the CS-ARDL analysis and presented in <xref ref-type="table" rid="T6">Table 6</xref>.</p>
<table-wrap position="float" id="T7">
<label>Table 7</label>
<caption><p>AMG analysis.</p></caption>
<table frame="hsides" rules="groups">
<thead><tr>
<th/>
<th valign="top" align="left"><bold>(1)</bold></th>
<th valign="top" align="left"><bold>(2)</bold></th>
<th valign="top" align="left"><bold>(3)</bold></th>
</tr>
<tr>
<th valign="top" align="left"><bold>Variables</bold></th>
<th valign="top" align="left"><bold>CCO<sub><bold>2</bold></sub></bold></th>
<th valign="top" align="left"><bold>CCO<sub><bold>2</bold></sub></bold></th>
<th valign="top" align="left"><bold>CCO<sub><bold>2</bold></sub></bold></th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">GDP</td>
<td valign="top" align="left">0.459&#x0002A;&#x0002A;&#x0002A;</td>
<td valign="top" align="left">0.600&#x0002A;&#x0002A;&#x0002A;</td>
<td valign="top" align="left">0.791&#x0002A;&#x0002A;&#x0002A;</td>
</tr>
<tr>
<td/>
<td valign="top" align="left">(0.056)</td>
<td valign="top" align="left">(0.093)</td>
<td valign="top" align="left">(0.111)</td>
</tr>
<tr>
<td valign="top" align="left">IMP</td>
<td valign="top" align="left">0.054</td>
<td valign="top" align="left">0.215&#x0002A;&#x0002A;</td>
<td valign="top" align="left">0.173&#x0002A;&#x0002A;&#x0002A;</td>
</tr>
<tr>
<td/>
<td valign="top" align="left">(0.065)</td>
<td valign="top" align="left">(0.094)</td>
<td valign="top" align="left">(0.050)</td>
</tr>
<tr>
<td valign="top" align="left">EXP</td>
<td valign="top" align="left">&#x02212;0.261&#x0002A;&#x0002A;&#x0002A;</td>
<td valign="top" align="left">&#x02212;0.360&#x0002A;&#x0002A;&#x0002A;</td>
<td valign="top" align="left">&#x02212;0.346&#x0002A;&#x0002A;&#x0002A;</td>
</tr>
<tr>
<td/>
<td valign="top" align="left">(0.058)</td>
<td valign="top" align="left">(0.062)</td>
<td valign="top" align="left">(0.046)</td>
</tr>
<tr>
<td valign="top" align="left">EcoInov</td>
<td valign="top" align="left">&#x02212;0.0108&#x0002A;</td>
<td valign="top" align="left">&#x02212;0.027&#x0002A;&#x0002A;&#x0002A;</td>
<td valign="top" align="left">&#x02212;0.0832&#x0002A;&#x0002A;</td>
</tr>
<tr>
<td/>
<td valign="top" align="left">(0.0057)</td>
<td valign="top" align="left">(0.002)</td>
<td valign="top" align="left">(0.0390)</td>
</tr>
<tr>
<td valign="top" align="left">InsQy</td>
<td/>
<td valign="top" align="left">0.006&#x0002A;</td>
<td valign="top" align="left">0.005&#x0002A;</td>
</tr>
<tr>
<td/>
<td/>
<td valign="top" align="left">(0.003)</td>
<td valign="top" align="left">(0.002)</td>
</tr>
<tr>
<td valign="top" align="left">EnPd</td>
<td/>
<td/>
<td valign="top" align="left">&#x02212;0.731&#x0002A;&#x0002A;&#x0002A;</td>
</tr>
<tr>
<td/>
<td/>
<td/>
<td valign="top" align="left">(0.264)</td>
</tr>
<tr>
<td valign="top" align="left">constant</td>
<td valign="top" align="left">&#x02212;30.977&#x0002A;&#x0002A;&#x0002A;</td>
<td valign="top" align="left">&#x02212;31.869&#x0002A;&#x0002A;&#x0002A;</td>
<td valign="top" align="left">&#x02212;47.370&#x0002A;&#x0002A;&#x0002A;</td>
</tr>
<tr>
<td/>
<td valign="top" align="left">(1.824)</td>
<td valign="top" align="left">(0.798)</td>
<td valign="top" align="left">(5.986)</td>
</tr>
<tr>
<td valign="top" align="left">Wald-Statistics</td>
<td valign="top" align="left">87.544</td>
<td valign="top" align="left">146.362</td>
<td valign="top" align="left">126.419</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p><italic>The standard errors are in parentheses, and asterisks &#x0002A;, &#x0002A;&#x0002A;, &#x0002A;&#x0002A;&#x0002A; show the significance level at 10, 5 and 1 percent</italic>.</p>
</table-wrap-foot>
</table-wrap>
<p>The results of the Dumitrescu&#x02013;Hurlin causality test are provided in <xref ref-type="table" rid="T8">Table 8</xref>. The results demonstrate the relationship from energy productivity, institutional quality, eco-innovation, GDP, imports, and exports to CCO<sub>2</sub> emissions. The outcomes show that any policy targeting these aspects would significantly improve environmental quality. The E-7 may achieve sustainable development goals by focusing on these factors in order to decrease carbon emissions and enhance the quality of the environment.</p>
<table-wrap position="float" id="T8">
<label>Table 8</label>
<caption><p>Causality analysis.</p></caption>
<table frame="hsides" rules="groups">
<thead><tr>
<th valign="top" align="left"><bold>Direction</bold></th>
<th valign="top" align="center"><bold>W-bar</bold></th>
<th valign="top" align="center"><bold>Z-bar stat</bold></th>
<th valign="top" align="center"><bold><italic>P</italic> Value</bold></th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">GDP &#x02192; CCO<sub>2</sub></td>
<td valign="top" align="center">4.818&#x0002A;&#x0002A;&#x0002A;</td>
<td valign="top" align="center">7.142</td>
<td valign="top" align="center">0.000</td>
</tr>
<tr>
<td valign="top" align="left">IMP &#x02192; CCO<sub>2</sub></td>
<td valign="top" align="center">4.183&#x0002A;&#x0002A;&#x0002A;</td>
<td valign="top" align="center">5.955</td>
<td valign="top" align="center">0.000</td>
</tr>
<tr>
<td valign="top" align="left">EXP &#x02192; CCO<sub>2</sub></td>
<td valign="top" align="center">5.058&#x0002A;&#x0002A;&#x0002A;</td>
<td valign="top" align="center">7.592</td>
<td valign="top" align="center">0.000</td>
</tr>
<tr>
<td valign="top" align="left">EcoInov &#x02192; CCO<sub>2</sub></td>
<td valign="top" align="center">4.784&#x0002A;</td>
<td valign="top" align="center">1.927</td>
<td valign="top" align="center">0.054</td>
</tr>
<tr>
<td valign="top" align="left">EnPd &#x02192; CCO<sub>2</sub></td>
<td valign="top" align="center">10.457&#x0002A;&#x0002A;&#x0002A;</td>
<td valign="top" align="center">6.040</td>
<td valign="top" align="center">0.000</td>
</tr>
<tr>
<td valign="top" align="left">InsQy &#x02192; CCO<sub>2</sub></td>
<td valign="top" align="center">8.897&#x0002A;&#x0002A;</td>
<td valign="top" align="center">2.213</td>
<td valign="top" align="center">0.027</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p><italic>Asterisks &#x0002A;, &#x0002A;&#x0002A;, &#x0002A;&#x0002A;&#x0002A; show the significance level at 10, 5 and 1 percent</italic>.</p>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="s5">
<title>Conclusion and Policy Recommendations</title>
<p>Emerging economies are showing promising growth and economic success, but the growth process has increased these countries&#x00027; carbon emissions. Since the creation of the Sustainable Development Goals (SDGs), the E-7 nations have struggled to meet the SDG targets, as it&#x00027;s been a challenge for them to lower CO<sub>2</sub> emissions and enhance environmental quality. Several studies have been conducted to analyze the key factors that can reduce CO<sub>2</sub> emissions in developing countries. In this context, the present study extends previous studies by exploring the impact of institutional quality, energy productivity, and eco-innovation on consumption-based carbon dioxide (CCO<sub>2</sub>) emissions in the presence of control variables GDP, imports, and exports. The cointegration analysis results showed a long-run connection among institutional quality, energy productivity, GDP, eco-innovation imports and exports, and CCO<sub>2</sub>. The results of the CS-ARDL analysis showed that institutional quality, energy productivity, eco-innovation, and exports have a significant adverse influence on CCO<sub>2</sub> emissions and aid in enhancing environmental quality. In contrast to these results, imports and GDP showed that they are positively linked with CCO<sub>2</sub> emissions and contribute to environmental degradation. The results obtained using AMG analysis as a robustness check further confirm these findings. The results using the causality test analysis demonstrate that policies that target eco-innovation, institutional quality, energy productivity, exports, GDP, and imports significantly affect carbon emissions and help in enhancing the quality of the environment.</p>
<p>According to the results of our study, policymakers in the E-7 nations should prioritize improving institutions in terms of implementing laws, rules, and regulations to have better implantation of the government&#x00027;s policy in these countries. It will improve not only economic growth but also enhance environmental quality and help achieve sustainable development goals set by E-7 countries. The results of this study suggest E-7 countries should adopt eco-friendly technology that will help significantly reduce environmental degradation and improve economic development in the E-7 countries. Additionally, E-7 countries should focus on enhancing their industry efficiency and energy productivity, as an increase in energy productivity will lower the demand for energy and energy consumption, ultimately leading to low carbon emissions. This will improve environmental quality and help E-7 economies achieve sustainable development goals. According to the conclusions of this research, the E-7 nations should impose environmental levies to incentivize businesses to evade energy-intensive products in favor of clean, green energy efficient renewable alternatives. Additionally, the causality analysis results demonstrate that policies targeting institutional quality, eco-innovation, energy productivity, exports, GDP, and imports significantly affect CCO<sub>2</sub> emissions and help improve environmental quality. Institutional quality, eco-innovation, and energy productivity will greatly cut CO<sub>2</sub> emissions and help achieve the E-7 nations&#x00027; aim of sustainable development goals.</p>
</sec>
<sec sec-type="data-availability" id="s6">
<title>Data Availability Statement</title>
<p>The original contributions presented in the study are included in the article/supplementary materials, further inquiries can be directed to the corresponding author.</p>
</sec>
<sec id="s7">
<title>Author Contributions</title>
<p>AS: conceptualization, methodology, software, validation, data curation, writing, review, and original draft. YC: supervision, resources, review, and editing. LZ: methodology, validation, writing, review, and editing. All authors contributed to the article and approved the submitted version.</p>
</sec>
<sec sec-type="COI-statement" id="conf1">
<title>Conflict of Interest</title>
<p>The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec sec-type="disclaimer" id="s8">
<title>Publisher&#x00027;s Note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec> 
</body>
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<fn id="fn0001"><p><sup>1</sup>The import and export of E-7 economies in the last five years reveals that China exported 49% machines, India exported 14% chemical products, Indonesia exported 23% mineral products Russia exports comprised 28% crude oil, Brazil imports comprised 24% machinery, and 21% chemicals, Mexico imports comprised 37% machinery and 27% transportation, Turkey imports comprised 23% machines and 14% metals (<xref ref-type="bibr" rid="B67">67</xref>). According to these numbers, the majority exported items by carbon exporters and imported by carbon importers in the E-7 countries are equipment, chemicals, mineral, and transportation.</p></fn>
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