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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Environ. Sci.</journal-id>
<journal-title>Frontiers in Environmental Science</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Environ. Sci.</abbrev-journal-title>
<issn pub-type="epub">2296-665X</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="publisher-id">1085372</article-id>
<article-id pub-id-type="doi">10.3389/fenvs.2022.1085372</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Environmental Science</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>RETRACTED: An empirical investigation of the impact of renewable and non-renewable energy consumption and economic growth on climate change, evidence from emerging Asian countries</article-title>
<alt-title alt-title-type="left-running-head">Zhao et al.</alt-title>
<alt-title alt-title-type="right-running-head">
<ext-link ext-link-type="uri" xlink:href="https://doi.org/10.3389/fenvs.2022.1085372">10.3389/fenvs.2022.1085372</ext-link>
</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Zhao</surname>
<given-names>Jingyun</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Zhang</surname>
<given-names>Taiming</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Ali</surname>
<given-names>Arshad</given-names>
</name>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Chen</surname>
<given-names>Jian</given-names>
</name>
<xref ref-type="aff" rid="aff4">
<sup>4</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Ji</surname>
<given-names>Houqi</given-names>
</name>
<xref ref-type="aff" rid="aff5">
<sup>5</sup>
</xref>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Wang</surname>
<given-names>Tiantian</given-names>
</name>
<xref ref-type="aff" rid="aff6">
<sup>6</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
</contrib>
</contrib-group>
<aff id="aff1">
<sup>1</sup>
<institution>Southwest University</institution>, <addr-line>Pune</addr-line>, <country>India</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>Finance Department</institution>, <institution>Business School, the University of Edinburgh</institution>, <addr-line>Edinburgh</addr-line>, <country>Scotland</country>
</aff>
<aff id="aff3">
<sup>3</sup>
<institution>Department of Economics and Finance</institution>, <institution>Greenwich University</institution>, <addr-line>Karachi</addr-line>, <country>Pakistan</country>
</aff>
<aff id="aff4">
<sup>4</sup>
<institution>Faculty of Social and Historical Sciences</institution>, <institution>University College London</institution>, <addr-line>London</addr-line>, <country>United Kingdom</country>
</aff>
<aff id="aff5">
<sup>5</sup>
<institution>School of Public Administration</institution>, <institution>Nanyang Technological University</institution>, <addr-line>Singapore</addr-line>, <country>Singapore</country>
</aff>
<aff id="aff6">
<sup>6</sup>
<institution>Business School of Jishou University</institution>, <addr-line>Jishou</addr-line>, <country>China</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>
<bold>Edited by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1485004/overview">Dervis Kirikkaleli</ext-link>, European University of Lefka, T&#xfc;rkiye</p>
</fn>
<fn fn-type="edited-by">
<p>
<bold>Reviewed by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/2096890/overview">James Karma Sowah Jr</ext-link>, European University of Lefka, T&#xfc;rkiye</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1465993/overview">Ugur Korkut Pata</ext-link>, Osmaniye Korkut Ata University, T&#xfc;rkiye</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1273783/overview">Mehmet Akif Destek</ext-link>, University of Gaziantep, T&#xfc;rkiye</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Tiantian Wang, <email>tiantianwang91@outlook.com</email>
</corresp>
<fn fn-type="other">
<p>This article was submitted to Environmental Economics and Management, a section of the journal Frontiers in Environmental Science</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>24</day>
<month>01</month>
<year>2023</year>
</pub-date>
<pub-date pub-type="collection">
<year>2022</year>
</pub-date>
<volume>10</volume>
<elocation-id>1085372</elocation-id>
<history>
<date date-type="received">
<day>31</day>
<month>10</month>
<year>2022</year>
</date>
<date date-type="accepted">
<day>14</day>
<month>12</month>
<year>2022</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2023 Zhao, Zhang, Ali, Chen, Ji and Wang.</copyright-statement>
<copyright-year>2023</copyright-year>
<copyright-holder>Zhao, Zhang, Ali, Chen, Ji and Wang</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>One of the greatest challenges facing humanity in the current millennium is the need to mitigate climate change, and one of the most viable options to overcome this challenge is to invest in renewable energy. The study dynamically examines the impact of renewable and non-renewable energy consumption and economic growth on climate change, using Augmented Mean Group (AMG) technique in emerging Asian countries during the period 1975&#x2013;2020. The estimated results show that the consumption of renewable energy sources significantly mitigates climate change, while the consumption of non-renewable energy sources significantly contributes to climate change. Furthermore, economic growth, investment in transport infrastructure, and urbanization significantly accelerate climate change in specific emerging Asian countries. The results further demonstrate the validity of the inverted U-shaped EKC hypothesis in emerging Asian economies. Country-specific analysis results using AMG estimates shows that renewable energy consumption reduces climate change for all specific emerging Asian countries. However, the consumption of non-renewable energy sources and investments in transport infrastructure have significant incremental impacts on climate change in all countries. Urbanization contributes significantly to climate change, with the exception of Japan, which does not have any significant impact on climate change. The significant progressive effect of GDP and the significant adverse impact of GDP<sup>2</sup> on climate change confirm the validity of the inverted U-shaped EKC hypothesis in India, China, Japan, and South Korea. Moreover, the Dumitrescu and Hurlin causality test confirmed a pairwise causal relationship between non-renewable energy consumption and GDP, supporting the feedback hypothesis. According to the empirical analysis of this study, the best strategy for climate change mitigation in specific emerging countries in Asia is to transition from non-renewable energy to renewable energy.</p>
</abstract>
<kwd-group>
<kwd>renewable energy consumption</kwd>
<kwd>non-renewable energy consumption</kwd>
<kwd>GDP</kwd>
<kwd>climate change</kwd>
<kwd>emerging Asian countries</kwd>
</kwd-group>
</article-meta>
</front>
<body>
<sec id="s1">
<title>1 Introduction</title>
<p>Energy is critical to achieving the Sustainable Development Goals as it is a key engine of global economic and human development (<xref ref-type="bibr" rid="B81">Nundy et al., 2021</xref>). It is well known that both renewable and non-renewable energy sources are the main determinants of socio-economic development on the basis of promoting a wide range of economic production activities to increase productivity and improve living standards (<xref ref-type="bibr" rid="B21">Brini, 2021</xref>; <xref ref-type="bibr" rid="B67">Mahalik et al., 2021</xref>). Over the past 3&#xa0;decades, human urbanization and industrialization have largely relied on the growing consumption of non-renewable energy sources (coal, oil, and natural gas) (<xref ref-type="bibr" rid="B52">Islam et al., 2022</xref>). In many countries, however, higher expansion of energy use for human development and economic growth has undoubtedly contributed to environmental degradation (<xref ref-type="bibr" rid="B37">Do&#x11f;analp et al., 2021</xref>). It is a very clear fact that the heavy use of non-renewable fossil fuels releases greenhouse gas (GHG) and carbon dioxide (CO2) emissions and is therefore a major contributor to environmental damage (<xref ref-type="bibr" rid="B59">Ku&#x15f;kaya &#x26; Bilgili, 2020</xref>).</p>
<p>Long-term significant changes in the global climate system pattern and related aspects such as precipitation and temperature are considered climate change. According to the latest report by Intergovernmental Panel on Climate Change (IPCC), climate change is a direct warning to sustainable development and human survival, as claimed by many policymakers, researchers and stakeholders across the globe. Climate change poses a serious and growing threat to our wellbeing and a healthy planet. Over the next 2&#xa0;decades, the world faces 1.5&#xb0;C (2.7&#xb0;F) of global warming, an inevitable multiple climate hazard (<xref ref-type="bibr" rid="B50">IPCC, 2022</xref>). Unsafe carbon emissions from 2010&#x2013;2019 have never been seen in human history, a new flagship UN report on climate change says, proving the world is on the &#x201c;fast track&#x201d; of catastrophe that scientists believe is limit global warming to 1.5&#xb0; &#x201c;now or never&#x201d;(UN, 2022).</p>
<p>Greenhouse gases have been the most important driver of observed climate change caused by human activity since the mid-20th century. To avoid environmental catastrophe, greenhouse gas emissions must be reduced by 50%&#x2013;85% from 2000 levels by 2050, according to a new report from the United States. Environmental Protection Agency. To achieve this goal, many reports estimate that carbon dioxide emissions per person per year must be reduced to 0.8&#x2013;2.5&#xa0;tons of carbon dioxide equivalent (<xref ref-type="bibr" rid="B40">EPA, 2022</xref>).</p>
<p>More than 60 countries in the Asia-Pacific region have more than 4 billion people and account for more than half of global greenhouse gas emissions. From small Pacific island nations to the densely populated cities of Southeast Asia and the mountainous regions of Central Asia, how can such diverse places cope with climate change and rapidly advance the much-needed renewable energy transition (<xref ref-type="bibr" rid="B13">Asian development Bank, 2022</xref>)? Fossil fuels are the main source of energy production in South Asia, accounting for 63% of regional energy production GHG emissions. Limiting emissions in South Asia based on the transition to low-carbon energy sources is a priority and even more critical. However, this transition needs to happen as energy demand increases in South Asia, which has grown by 50% since 2000. Power demand in the region is expected to double within this decade (<xref ref-type="bibr" rid="B127">World Bank, 2021</xref>). The leading cause of greenhouse gas emissions is coal, a fossil fuel that contributes to global warming. Coal still produces 50% of Asia&#x2019;s primary energy and 30% of G20 member countries, and global greenhouse gas emissions are set to halve by 2030 until coal is phased out. The world is unlikely to stay below a 1.5-degree rise in global average temperature. Asia is experiencing unprecedented heatwaves, droughts and floods, with global warming already exceeding 1&#xb0;C (<xref ref-type="bibr" rid="B114">UN, 2022</xref>).</p>
<p>Faced with these threats, many countries such as the United States, the European Union, and China, as well as many countries, including developed and developing countries in the world, have formulated a series of policies aimed at reducing emissions. Thus, as part of the global response to climate change, policies to strengthen renewable energy are being introduced. South Asian countries have pushed electrification as they have made recent strides in bringing electricity to the hardest-to-reach populations (<xref ref-type="bibr" rid="B127">World Bank, 2021</xref>). However, it remains critical to consolidate development gains from improving the reliability and availability of renewable, affordable energy. Beside, by 2050, two-thirds of the world&#x2019;s energy supply could be met by renewable energy. Thus, the implementation and development of renewable energy technologies is the leeway for the transition to a low-carbon economy in the future (<xref ref-type="bibr" rid="B106">Slabe-Erker et al., 2022</xref>).</p>
<p>With the growing threat of climate change and global warming, the link between energy consumption and environmental pollutants has drawn attention. The literature describes mixed results across countries due to different energy use patterns and modelling techniques (<xref ref-type="bibr" rid="B103">Shen et al., 2020</xref>). The study of the growth-energy relationship has been extensively explored (<xref ref-type="bibr" rid="B84">Ozturk et al., 2022</xref>). In addition, many studies have focused on the relationship between growth and pollution, showing that pollution levels increase with economic growth until a threshold level is reached, after which economic growth begins to decline, known as the Environmental Kuznets Curve (EKC) (<xref ref-type="bibr" rid="B24">Cheikh et al.,, 2021</xref>; <xref ref-type="bibr" rid="B20">Boukhelkhal, 2022</xref>). However, as some other studies have explored, the environmental Kuznets curve may not hold for all pollutants and for all countries (<xref ref-type="bibr" rid="B123">Wang et al., 2022a</xref>; <xref ref-type="bibr" rid="B20">Boukhelkhal, 2022</xref>).</p>
<p>More recently, some existing research has focused on the link between economic growth, energy use, and pollution emissions (<xref ref-type="bibr" rid="B25">Chen F et al., 2022</xref>; <xref ref-type="bibr" rid="B131">You et al., 2022</xref>). Research on the differential impact of renewable and non-renewable energy consumption on climate change and growth is lacking, with most early studies looking at the link between total energy consumption, climate change and economic growth. This disaggregation opens avenues for understanding the relative potential of the two energy sources for the climate change process. This study is an attempt to fill the gap in the case of selected Asian emerging countries, China, India, Bangladesh, South Korea and Japan. Asian countries were chosen because these regions are considered the most vulnerable to climate change in the world. Furthermore, these regions were chosen because only a limited number of studies have been conducted on selected Asian countries. Also, these countries are urbanizing faster than others and are expected to do so in the coming decades (<xref ref-type="bibr" rid="B11">Anwar et a., 2022</xref>). Unfortunately, urban growth is often manifested in sprawl and increasing reliance on transportation (<xref ref-type="bibr" rid="B94">Rao et al., 2021</xref>). Although rapid urbanization in Asia has resulted in increased energy use, such high energy use intensity has adversely affected air quality and climate conditions. Increased urbanization leads to increased energy consumption by shifting production from less energy-intensive to more energy-intensive sources. In addition, urbanization due to increased mobility and transportation requires more energy (<xref ref-type="bibr" rid="B31">Destek, 2021</xref>; <xref ref-type="bibr" rid="B16">Awan et al., 2022</xref>; <xref ref-type="bibr" rid="B118">Virag et al., 2022</xref>). Thus, it can be asserted that the combined effects of increased urbanization and the resulting energy consumption are exacerbating climate change. <xref ref-type="fig" rid="F1">Figure 1</xref>.</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>Renewable and non-renewable energy consumption, economic growth and carbon emission in Emerging Asian countries. Note: Renewable and non-renewable energy consumption are shown as a percentage of total energy, GDP growth rate is displayed as an annual percentage, and climate change as annual average temperature.</p>
</caption>
<graphic xlink:href="fenvs-10-1085372-g001.tif"/>
</fig>
<p>Given the important scenarios for climate change and renewable energy use, it is decisive to vigorously maintain the network between renewable energy use, non-renewable energy use, economic growth and climate change. Therefore, the strategic contributions of the current study are highlighted as: 1) Most of the earliest research looked at the link between total energy consumption and climate change, but few identified the disaggregated impact of renewable and non-renewable energy consumption on climate change. The openness provided by this disaggregation allows for an understanding of the relative potential of the two energy sources in the climate change process. 2) The link between energy consumption, economic growth, and climate change has been extensively explored in different countries through various econometric techniques (<xref ref-type="bibr" rid="B65">Lu, 2018</xref>; <xref ref-type="bibr" rid="B80">Norouzi et al., 2020</xref>; <xref ref-type="bibr" rid="B97">Saint Akadiri et al., 2020</xref>; <xref ref-type="bibr" rid="B78">Nathaniel et al., 2021</xref>). A limited number of studies have tested urbanization as the main cause of increased energy consumption contributing to climate change (<xref ref-type="bibr" rid="B93">Raihan et al., 2022</xref>; <xref ref-type="bibr" rid="B88">Pata (2018)</xref>. 3) This will be the only study to focus on specific Asia&#x2019;s emerging countries, with the latest data providing key insights for regional policymakers. 4) Also, this will be the first study to test the validity of the EKC for the specific emerging Asian country using climate indicators such as average precipitation and average temperature.</p>
</sec>
<sec id="s2">
<title>2 Literature review</title>
<p>The existing energy literature on the correlation between energy consumption, environmental degradation (pollution) and economic growth fascinates environmental policymakers and economists. Hence, many studies have chosen different empirical methods and countries to explore this relationship. Three main aspects emerged in the literature, with the first part of the study examining the dynamic relationship between energy or electricity consumption and economic growth (<xref ref-type="bibr" rid="B29">Churchill &#x26; Ivanovski, 2020</xref>; <xref ref-type="bibr" rid="B122">Wang et al., 2022b</xref>; <xref ref-type="bibr" rid="B55">Khan A. A et al., 2022</xref>; <xref ref-type="bibr" rid="B60">Le, 2022</xref>; <xref ref-type="bibr" rid="B121">Wang G et al., 2022</xref>). The studies were conducted in the context of individual and country panels, and variable relationships were described as four hypotheses; growth, feedback, conservation, and neutrality (<xref ref-type="bibr" rid="B14">Aslan et al., 2022</xref>; <xref ref-type="bibr" rid="B44">Gyimah et al., 2022</xref>; <xref ref-type="bibr" rid="B124">Wang W et al., 2022</xref>). First, the growth hypothesis proposes that energy consumption contributes to economic growth, so energy is reflected as a progressive input to economic growth. Second, the feedback hypothesis assumes a pairwise causal relationship between energy use and economic growth, that is, energy consumption stimulates economic growth, and economic growth promotes higher energy consumption. Third, the proposition of a one-way link from economic growth to energy consumption is known as the conservation hypothesis, which means that a decline in energy use may not have a significant effect on economic growth. Finally, the neutrality or absence of a causal relationship between energy consumption and economic growth reflects the neutrality hypothesis.</p>
<p>The relationship between energy consumption and economic growth began with the first pioneering work for the United States by <xref ref-type="bibr" rid="B58">Kraft and Kaft (1978)</xref>, and was later given greater attention by <xref ref-type="bibr" rid="B2">Abosedra and Baghestani (1989)</xref> and <xref ref-type="bibr" rid="B48">Hwang and Gum (1991)</xref>. Empirical analysis of the existing high-level literature on the relationship between energy and growth across countries has yielded mixed results. The study found that energy consumption contributes to economic growth, supporting the growth hypothesis are <xref ref-type="bibr" rid="B5">Ahmed et al. (2022)</xref> for G7 countries, using second-generation econometric techniques, <xref ref-type="bibr" rid="B123">Wang et al. (2022a)</xref> used a threshold model for OECD countries, <xref ref-type="bibr" rid="B72">Miao et al. (2022)</xref> using moment quantile regression (MMQR) techniques for newly industrialized countries and <xref ref-type="bibr" rid="B84">Ozturk et al. (2022)</xref> employed FMOLS and DOLS techniques for Saudi Arabia. Feedback hypothesis supported by many studies, e.g., <xref ref-type="bibr" rid="B44">Gyimah et al. (2022)</xref> for Ghana, <xref ref-type="bibr" rid="B101">Shahbaz et al. (2022)</xref> for China, <xref ref-type="bibr" rid="B99">Shabani et al. (2022)</xref> for ECO member countries, <xref ref-type="bibr" rid="B82">Okumus, Guzel and Destek (2021)</xref> for <xref ref-type="bibr" rid="B56">Khan I et al. (2022)</xref> for South Asian countries, <xref ref-type="bibr" rid="B32">Destek (2015)</xref> for T&#xfc;rkiye. Studies that highlight support for conservative assumptions include <xref ref-type="bibr" rid="B120">Wang and Lee (2022)</xref> for China, <xref ref-type="bibr" rid="B116">Usman et al. (2022)</xref> For eight Arctic countries, <xref ref-type="bibr" rid="B130">Xue et al. (2022)</xref> for French and <xref ref-type="bibr" rid="B4">Acheampong et al. (2022)</xref> for the European Union. However, studies exposed to the neutrality hypothesis are <xref ref-type="bibr" rid="B10">Amin and Song (2022)</xref> for South and East Asian countries, <xref ref-type="bibr" rid="B129">Xu et al. (2022)</xref> for China, <xref ref-type="bibr" rid="B47">Hossein et al. (2022)</xref> for India, <xref ref-type="bibr" rid="B57">Khan M. B et al. (2022)</xref> for G-7 economies, <xref ref-type="bibr" rid="B30">Destek and Aslan (2017)</xref> for Colombia and Thailand.</p>
<p>Similarly, many studies have explored the link between renewable energy consumption and economic growth. <xref ref-type="bibr" rid="B28">Chica-Olmo et al. (2020)</xref> investigated the spatial dependence between economic growth and renewable energy consumption using a spatial Durbin model for 26 European countries over the period 1991&#x2013;2015. The results of the analysis show that renewable energy has a significant positive impact on economic growth. <xref ref-type="bibr" rid="B5">Ahmed et al. (2022)</xref> using second-generation econometric techniques covering the period 1985 to 2017 to explore the impact of renewable energy on economic growth in G-7 countries. The results show that renewable energy contributes to economic growth in selected G7 countries. Similarly, <xref ref-type="bibr" rid="B124">Wang W et al. (2022)</xref> sought to explore the significant contribution of renewable energy to economic prosperity in selected Asian countries, using Augmented Mean Group (AMG) estimates. <xref ref-type="bibr" rid="B107">Steve et al. (2022)</xref> used the Common Correlation Effects Mean Group Estimate (CCEMG) for the period 1990 to 2018 to derive the stimulating effect of increased renewable energy consumption on economic growth in Sub Saharan African countries. Dumitrescu-Hurlin Granger causality test results verify that the growth hypothesis is supported in East and West Africa, while the feedback hypothesis is only supported in Central Africa.</p>
<p>In addition to examining the relationship between energy and growth, the second part focuses on the link between economic growth and the environment. The purpose of exploring the link between growth and the environment is to test the validity of the Environmental Kuznets Curve (EKC), the inverted U-shape, or the U-shape hypothesis. The EKC hypothesis states that environmental pollution begins to increase with economic growth until it reaches a certain threshold, and then declines beyond that threshold as the economy grows. The pioneering work of <xref ref-type="bibr" rid="B53">Kao (1999)</xref> was the first to test the EKC hypothesis on the relationship between economic growth and carbon emissions, and many other studies followed. However, many of the findings of these studies are controversial; <xref ref-type="bibr" rid="B18">Balsalobre-Lorente et al. (2022)</xref> used dynamic ordinary least squares (DOLS) estimator to test the validity of the EKC for PIIGS countries over the period 1990&#x2013;2019. The results of the analysis confirmed the effectiveness of inverted U-shaped and N-shaped EKC in PIIGS countries. Likewise, <xref ref-type="bibr" rid="B110">Thio et al. (2022)</xref> used the STIRPAT model combined with panel quantile regression to examine the validity of the EKC for the world&#x2019;s top ten economies. The findings support the effectiveness of the EKC for the top 10 economies. <xref ref-type="bibr" rid="B121">Wang G et al. (2022)</xref> used the VECM model for the period 1995&#x2013;2017 to support the validity of the inverted U-shaped EKC hypothesis based on the link between CO2 emissions and industrial output in China. <xref ref-type="bibr" rid="B89">Pata and Samour, (2022)</xref> found no inverted U-shaped relationship between CO2 emissions and income by examining the validity of the French EKC assumption for the period 1977&#x2013;2017. <xref ref-type="bibr" rid="B62">Liu et al. (2022)</xref> support the EKC hypothesis that there is an inverted U-shaped relationship between travel and tourism and the Ecological Footprint in Pakistan during the period 1980&#x2013;2017. Similarly, <xref ref-type="bibr" rid="B128">Xia et al. (2022)</xref> show that higher GDP stimulates carbon emissions, while the squared coefficient of the GDP result is negative, supporting the validity of the EKC hypothesis for 67 developed and developing countries over the period 1971&#x2013;2018. <xref ref-type="bibr" rid="B83">Onifade (2022)</xref> used quantile regression (QR) methods and dynamic ordinary least squares (DOLS) to test the EKC hypothesis for African oil-producing economies over the period 1995&#x2013;2016. The results of the analysis did not confirm the validity of the EKC assumptions for selected economies. <xref ref-type="bibr" rid="B63">Lu et al. (2022)</xref> applied dynamic ordinary least squares (DOLS) and fully modified ordinary least squares (FMOLS) to examine the validity of EKC China, Japan, and South Korea over the period 1995&#x2013;2020. The results show that GDP significantly promotes environmental degradation and GDP2 significantly reduces environmental degradation, thus validating the inverted U-shaped EKC hypothesis in selected Asian countries. Likewise, <xref ref-type="bibr" rid="B51">Isik et al. (2020)</xref> validated the legitimacy of the French EKC assumption among the G7 countries, and <xref ref-type="bibr" rid="B87">Pata and Hizarci (2022)</xref> confirmed the validity of the German and Swedish EKC assumptions. <xref ref-type="bibr" rid="B34">Destik and Sinha (2020)</xref> also validated the U-shaped EKC assumption for OECD countries.</p>
<p>Finally, the third dimension is the energy-growth-environment nexus, which is based on the aggregation of research from the above two strands. <xref ref-type="bibr" rid="B7">Ali A et al. (2022)</xref> used the <xref ref-type="bibr" rid="B38">Dumitrescu and Hurlin (2012)</xref> panel causality test to explore the links between energy consumption, carbon emissions, and economic growth in PIMC countries from 1980 to 2020. The analysis results show that there is a two-way causal relationship between carbon dioxide and economic growth, while a one-way causality is running from energy consumption to economic growth. <xref ref-type="bibr" rid="B73">Mughal et al. (2022)</xref> explores the link between energy use, carbon emissions, and economic growth in selected South Asian economies, identifying bidirectional causality between economic growth and energy use and unidirectional causality from GDP growth to carbon emissions. <xref ref-type="bibr" rid="B76">Musah et al. (2022)</xref> empirically found two-way causality between energy consumption and carbon dioxide emissions, between economic growth and carbon dioxide emissions, and one-way causality from economic growth to energy consumption in North Africa. <xref ref-type="bibr" rid="B56">Khan I et al. (2022)</xref> used a fully modified ordinary least squares (FMOLS) technique to reveal the causal relationship between energy use, carbon emissions, and economic growth in South Asian countries over the period 1972&#x2013;2017. The findings suggest that there is a bidirectional causal relationship between economic growth and energy use, while a unidirectional causal relationship exists from GDP growth to carbon emissions. <xref ref-type="bibr" rid="B95">Sadiq et al. (2022)</xref> attempted to use the method of <xref ref-type="bibr" rid="B38">Dumitrescu-Hurlin (2012)</xref> to explore the causal relationship between energy use, economic growth and carbon emissions in South Asian countries. Empirical results show that GDP Granger causes CO2 emissions and supports a feedback effect between economic growth (GDP) and energy use.</p>
<p>Recently, a new study on the relationship between renewable energy use, economic growth and environmental damage has become a priority. In this regard, the research initiated by <xref ref-type="bibr" rid="B122">Wang et al. (2022b)</xref> applied the Augmented Mean Group (AMG) estimator for panel data analysis and found that renewable energy significantly reduces carbon emissions and promotes economic prosperity. <xref ref-type="bibr" rid="B124">Wang W et al. (2022)</xref> used a threshold panel regression model for 120 countries and data from the past 20&#xa0;years to reveal that global renewable energy can stimulate economic growth and improve environmental quality; <xref ref-type="bibr" rid="B8">Ali U et al. (2022)</xref> applied an Augmented Average Group (AMG) approach over the period 1980&#x2013;2020 and found that renewable energy consumption stimulated economic growth and reduced carbon emissions in PIMC countries.</p>
<p>In addition to this, the latest literature fully proves that renewable energy can reduce environmental pollution and climate change. Regarding this, little research has focused on the links between renewable and non-renewable energy consumption, economic growth, and climate change. <xref ref-type="bibr" rid="B21">Brini (2021)</xref> applied the Granger causality test to annual data for the period 1980&#x2013;2014, revealing a two-way causality between non-renewable energy consumption and climate change, supporting the feedback hypothesis, while one-way causality from climate change to renewable energy. <xref ref-type="bibr" rid="B25">Chen F et al. (2022)</xref> used Granger causality tests to assess bidirectional causality between renewable energy cosumption, non-renewable energy consumption, and carbon emissions in China over the period 1980&#x2013;2014. The results show a bidirectional causal relationship from CO2 emissions and non-renewable energy to renewable energy. A summary of the literature on the impact of renewable and non-renewable energy consumption and economic growth on climate change is presented in <xref ref-type="table" rid="T1">Table 1</xref>.</p>
<table-wrap id="T1" position="float">
<label>TABLE 1</label>
<caption>
<p>Summary literature of the impact of renewable and non-renewable energy consumption and economic growth on climate change.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Authored</th>
<th align="left">Countries</th>
<th align="left">Method</th>
<th align="left">Time period</th>
<th align="left">Findings</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td rowspan="2" align="left">
<xref ref-type="bibr" rid="B7">Ali A et al. (2022)</xref>
</td>
<td rowspan="2" align="left">PIMC countries</td>
<td rowspan="2" align="left">AMG estimation</td>
<td rowspan="2" align="left">1980&#x2013;2020</td>
<td align="left">Renewable energy consumption reduces</td>
</tr>
<tr>
<td align="left">CO2 emissions, while non-renewable energy use stimulates CO2 emissions</td>
</tr>
<tr>
<td align="left">
<xref ref-type="bibr" rid="B123">Wang et al. (2022a)</xref>
</td>
<td align="left">120 countries</td>
<td align="left">Panel regression model</td>
<td align="left">2000&#x2013;2020</td>
<td align="left">Renewable energy use can improve the environmental quality</td>
</tr>
<tr>
<td rowspan="2" align="left">
<xref ref-type="bibr" rid="B21">Brini (2021)</xref>
</td>
<td rowspan="2" align="left">16 African countries</td>
<td rowspan="2" align="left">ARDL-PMG</td>
<td rowspan="2" align="left">1980&#x2013;2014</td>
<td align="left">Non-renewable energy consumption and economic growth have detrimental effects, while renewable energy</td>
</tr>
<tr>
<td align="left">consumption has beneficial effects on climate change</td>
</tr>
<tr>
<td rowspan="2" align="left">
<xref ref-type="bibr" rid="B3">Acaro&#x11f;lu and G&#xfc;ll&#xfc; (2022)</xref>
</td>
<td rowspan="2" align="left">Turkey</td>
<td rowspan="2" align="left">ARDL</td>
<td rowspan="2" align="left">1980&#x2013;2019</td>
<td align="left">Renewable energy use lowers temperatures, non-renewable energy and economic growth raises</td>
</tr>
<tr>
<td align="left">temperatures</td>
</tr>
<tr>
<td rowspan="2" align="left">
<xref ref-type="bibr" rid="B9">Alola, Bekun and Sarkodie (2019)</xref>
</td>
<td rowspan="2" align="left">16-EU countries</td>
<td rowspan="2" align="left">PMG-ARDL</td>
<td rowspan="2" align="left">1997&#x2013;2014</td>
<td align="left">Consumption of non-renewable energy reduces environmental quality, while consumption of renewable</td>
</tr>
<tr>
<td align="left">energy increases environmental sustainability</td>
</tr>
<tr>
<td rowspan="2" align="left">
<xref ref-type="bibr" rid="B19">Bhat (2018)</xref>
</td>
<td rowspan="2" align="left">BRICS</td>
<td rowspan="2" align="left">Pooled Mean Group</td>
<td rowspan="2" align="left">1992&#x2013;2016</td>
<td align="left">Non-renewable energy consumption and economic growth have detrimental effects, while renewable</td>
</tr>
<tr>
<td align="left">energy consumption has beneficial effects on climate change</td>
</tr>
<tr>
<td rowspan="3" align="left">
<xref ref-type="bibr" rid="B27">Chen, Wang and Zhong (2019)</xref>
</td>
<td rowspan="3" align="left">China</td>
<td rowspan="3" align="left">ARDL</td>
<td rowspan="3" align="left">1980&#x2013;2014</td>
<td align="left">non-renewable energy and GDP increases CO2&#xa0;emission</td>
</tr>
<tr>
<td align="left">whereas renewable energy and foreign trade have a</td>
</tr>
<tr>
<td align="left">negatively impact on CO2 emissions</td>
</tr>
<tr>
<td align="left">
<xref ref-type="bibr" rid="B1">Abbas et al. (2020)</xref>
</td>
<td align="left">24 emerging economies</td>
<td align="left">ARDL</td>
<td align="left">1995&#x2013;2014</td>
<td align="left">Renewable energy consumption reduces CO2 emissions, while non-renewable energy use stimulates CO2 emissions</td>
</tr>
<tr>
<td rowspan="2" align="left">
<xref ref-type="bibr" rid="B10">Amin and Song (2022)</xref>
</td>
<td rowspan="2" align="left">South Asian countries</td>
<td rowspan="2" align="left">CS-ARDL approach</td>
<td rowspan="2" align="left">2000&#x2013;2018</td>
<td align="left">Non-renewable energy consumption and economic growth increase long-term CO2 emissions</td>
</tr>
<tr>
<td align="left">but renewable energy consumption reduces CO2 emissions</td>
</tr>
<tr>
<td rowspan="3" align="left">
<xref ref-type="bibr" rid="B117">Usman, Makhdum and Kousar (2021)</xref>
</td>
<td rowspan="3" align="left">15 highest emitting countries</td>
<td rowspan="3" align="left">AMG estimation</td>
<td rowspan="3" align="left">1990&#x2013;2017</td>
<td align="left">Renewable energy has made a significant contribution to overcoming environmental degradation</td>
</tr>
<tr>
<td align="left">while economic growth and the use of non-renewable</td>
</tr>
<tr>
<td align="left">energy are more responsible for environmental damage</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>The literature on the links between energy consumption, economic growth and environmental degradation is extensive, but also somewhat flawed. Undoubtedly, many studies have used total energy consumption, rather than considering separate renewable and non-renewable energy consumption. Lack of sample studies and disappointment with separate renewable and non-renewable energy consumption is relatively due to the unavailability of renewable energy data for a large number of Asian countries. Besides, the literature shows the use of carbon emissions as a proxy for climate change and environmental degradation, excluding other important factors such as average precipitation and average temperature. Also, we could not find any studies that tested urbanization as the main cause of increased energy consumption contributing to climate change.</p>
</sec>
<sec id="s3">
<title>3 Model development, data sources and method techniques</title>
<p>This study follows the STIRPAT (Stochastic Impacts by Regression on Population, Affluence, and Technology) model proposed by <xref ref-type="bibr" rid="B35">Dietz and Rosa (1997)</xref> to reveal the impact of renewable and non-renewable energy consumption and economic growth on climate change. The exponential form of the basic STIRPAT model can be expressed as follows:<disp-formula id="e1">
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<p>I demonstrate the effect of the environment, with P for county population, A denotes affluence (GDP), T indicates technology (energy efficiency), and &#x3bc; is the model error term reflecting a stochastic process. The above model is transformed into a log-linear form for empirical analysis as follows:<disp-formula id="e2">
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<p>Several researchers have extended the STIRPAT model by adding new explanatory factors (<xref ref-type="bibr" rid="B43">Ghazali &#x26; Ali, 2019</xref>; <xref ref-type="bibr" rid="B85">Pan &#x26; Zhang, 2020</xref>; <xref ref-type="bibr" rid="B108">Su et al., 2020</xref>; <xref ref-type="bibr" rid="B64">Lu et al., 2021</xref>; <xref ref-type="bibr" rid="B115">Usman &#x26; Hammar, 2021</xref>; <xref ref-type="bibr" rid="B98">Schneider, 2022</xref>; <xref ref-type="bibr" rid="B110">Thio et al., 2022</xref>).</p>
<p>The extended form of the improved STIRPAT model in our study is expressed in the following form, which is based on the impact of renewable and non-renewable energy consumption, and economic growth on climate change.<disp-formula id="e3">
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<mml:mrow>
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<mml:mrow>
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<p>In the above equations, CC indicates climate change, NREC and REC stand for non-renewable energy consumption and renewable energy consumption, respectively, as indicators to measure technology, GDP is used for affluence, URB reflects urbanization used to measure population impacts, TIN denotes transport infrastructure investment as additional control variable. Studies (<xref ref-type="bibr" rid="B86">Pan et al., 2019</xref>; <xref ref-type="bibr" rid="B36">Dogan and Inglesi-Lotz, 2020</xref>; <xref ref-type="bibr" rid="B96">Sahu et al., 2022</xref>) used energy intensity as a proxy for technology, followed in this study, assuming that better green technologies could improve energy effective use, reducing the consumption of fossil fuels and stimulating more reliance on renewable energy. Converting the above model for empirical analysis into log-linear form is as follows:<disp-formula id="e5">
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<label>(6)</label>
</disp-formula>where &#x3b2;<sub>0</sub> and &#x3b2;<sub>1-6</sub> are the intercept and coefficients of the variables respectively, i represents the country, t indicates the time period, and &#x3bc; is the random error term of the model.</p>
<p>Annual variable data for the period 1975&#x2013;2020 comes from various sources, such as renewable and non-renewable energy consumption, GDP and urbanization data from the World Bank, World Development Indicators (WDI) database. Transportation infrastructure investment data taken from the OECD database, and climate change data sourced from the latest statistics of National Oceanic and Atmospheric Administration (NOAA). The explanatory variables include renewable and non-renewable energy consumption can be measured in kg of oil equivalent (Mtoe). Non-renewable energy consumption data in kilograms of oil equivalent (Mtoe) exists in the World Bank database, but renewable energy consumption data only exists as a percentage of total energy use. Thus, measuring the renewable energy consumption (REC) for a specific year and country using the data of two variables, total energy consumption in kg of oil equivalent (Mtoe) and renewable energy consumption as a percentage of total energy consumption. Renewable energy consumption in kilograms of oil equivalent (Mtoe) can be calculated by multiplying the renewable energy consumption as a percentage of total energy consumption by the total energy consumption in kilograms of oil equivalent (Mtoe) (Mtoe) and then divide by 100. That is, <disp-formula id="equ1">
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<mml:mtext>&#x2009;</mml:mtext>
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<mml:mi mathvariant="normal">t</mml:mi>
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<mml:mtext>&#x2009;</mml:mtext>
<mml:mi mathvariant="normal">c</mml:mi>
<mml:mi mathvariant="normal">o</mml:mi>
<mml:mi mathvariant="normal">n</mml:mi>
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<mml:mi mathvariant="normal">m</mml:mi>
<mml:mi mathvariant="normal">p</mml:mi>
<mml:mi mathvariant="normal">t</mml:mi>
<mml:mi mathvariant="normal">i</mml:mi>
<mml:mi mathvariant="normal">o</mml:mi>
<mml:mi mathvariant="normal">n</mml:mi>
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<p>GDP and transport infrastructure investment are other explanatory factors, measured in constant 2015 dollars. Urbanization is a control variable that can be measured as a percentage of the total population. The dependent variable is the climate change used in the model, as measured by mean annual temperature (TEMP). <xref ref-type="table" rid="TA1">Table A1</xref> below clearly highlights the full details of variable interpretation, measurement, and data sources.</p>
<sec id="s3-1">
<title>3.1 Cross sectional dependence test</title>
<p>It is crucial to determine the cross-sectional dependence of panel data before moving on to testing variable unit root properties, followed by variable cointegration and elasticity. Panel data estimates with cross-sectional correlations can lead to biased, erroneous, and misleading conclusions (<xref ref-type="bibr" rid="B15">Awad &#x26; Warsame, 2022</xref>; <xref ref-type="bibr" rid="B20">Boukhelkhal, 2022</xref>). Many past studies have used Breush and Pegan&#x2019;s (1980) cross-sectional dependence test, but this test educates many econometric issues. Therefore, this study uses the more robust cross-sectional correlation (CD) test and Langrage multiplier (LM) test proposed by <xref ref-type="bibr" rid="B46">Hashmi (2021)</xref> to overcome the shortcomings of the Breush and Pegan tests. The respective expressions for CD and LM tests are highlighted in the following equations.<disp-formula id="e7">
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<mml:munderover>
<mml:mstyle displaystyle="true">
<mml:mo>&#x2211;</mml:mo>
</mml:mstyle>
<mml:mrow>
<mml:mi mathvariant="bold-italic">j</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mi mathvariant="bold-italic">i</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:mn mathvariant="bold">1</mml:mn>
</mml:mrow>
<mml:mi mathvariant="bold-italic">&#x3ba;</mml:mi>
</mml:munderover>
<mml:msub>
<mml:mover accent="true">
<mml:mi mathvariant="bold-italic">&#x422;</mml:mi>
<mml:mo>&#x5e;</mml:mo>
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<mml:mrow>
<mml:mi mathvariant="bold-italic">i</mml:mi>
<mml:mi mathvariant="bold-italic">j</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mo>:</mml:mo>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi mathvariant="bold">&#x3ba;</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mn mathvariant="bold">0,1</mml:mn>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
<label>(7)</label>
</disp-formula>
<disp-formula id="e8">
<mml:math id="m9">
<mml:mrow>
<mml:mi mathvariant="bold">L</mml:mi>
<mml:mi mathvariant="bold">M</mml:mi>
<mml:mo>&#x2a;</mml:mo>
<mml:mo>&#x3d;</mml:mo>
<mml:msqrt>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:mn mathvariant="bold">2</mml:mn>
<mml:mi mathvariant="bold-italic">&#x3c1;</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi mathvariant="bold-italic">&#x3ba;</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi mathvariant="bold-italic">&#x3ba;</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mn mathvariant="bold">1</mml:mn>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:msqrt>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:munderover>
<mml:mstyle displaystyle="true">
<mml:mo>&#x2211;</mml:mo>
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<mml:mrow>
<mml:mi mathvariant="bold-italic">i</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn mathvariant="bold">1</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="bold-italic">&#x3ba;</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mn mathvariant="bold">1</mml:mn>
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<mml:mrow>
<mml:munderover>
<mml:mstyle displaystyle="true">
<mml:mo>&#x2211;</mml:mo>
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<mml:mo>&#x3d;</mml:mo>
<mml:mi mathvariant="bold-italic">i</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:mn mathvariant="bold">1</mml:mn>
</mml:mrow>
<mml:mi mathvariant="bold-italic">&#x3ba;</mml:mi>
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<mml:msub>
<mml:mover accent="true">
<mml:mi mathvariant="bold-italic">&#x422;</mml:mi>
<mml:mo>&#x5e;</mml:mo>
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<mml:mrow>
<mml:mi mathvariant="bold-italic">i</mml:mi>
<mml:mi mathvariant="bold-italic">j</mml:mi>
</mml:mrow>
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</mml:mfenced>
</mml:mrow>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mfrac>
<mml:mrow>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi mathvariant="bold-italic">&#x3c1;</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mi mathvariant="bold-italic">n</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:msubsup>
<mml:mover accent="true">
<mml:mi mathvariant="bold-italic">&#x3c1;</mml:mi>
<mml:mo>&#x5e;</mml:mo>
</mml:mover>
<mml:mrow>
<mml:mi mathvariant="bold-italic">i</mml:mi>
<mml:mi mathvariant="bold-italic">j</mml:mi>
</mml:mrow>
<mml:mn mathvariant="bold">2</mml:mn>
</mml:msubsup>
<mml:mo>&#x2212;</mml:mo>
<mml:mi mathvariant="bold-italic">E</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi mathvariant="bold-italic">&#x3c1;</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mi mathvariant="bold-italic">n</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:msubsup>
<mml:mover accent="true">
<mml:mi mathvariant="bold-italic">&#x3c1;</mml:mi>
<mml:mo>&#x5e;</mml:mo>
</mml:mover>
<mml:mrow>
<mml:mi mathvariant="bold-italic">i</mml:mi>
<mml:mi mathvariant="bold-italic">j</mml:mi>
</mml:mrow>
<mml:mn mathvariant="bold">2</mml:mn>
</mml:msubsup>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="bold-italic">V</mml:mi>
<mml:mi mathvariant="bold-italic">a</mml:mi>
<mml:mi mathvariant="bold-italic">r</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi mathvariant="bold-italic">&#x3c1;</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mi mathvariant="bold-italic">n</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:msubsup>
<mml:mover accent="true">
<mml:mi mathvariant="bold-italic">&#x3c1;</mml:mi>
<mml:mo>&#x5e;</mml:mo>
</mml:mover>
<mml:mrow>
<mml:mi mathvariant="bold-italic">i</mml:mi>
<mml:mi mathvariant="bold-italic">j</mml:mi>
</mml:mrow>
<mml:mn mathvariant="bold">2</mml:mn>
</mml:msubsup>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
<label>(8)</label>
</disp-formula>
</p>
<p>The results of the cross-sectional correlation test are clearly highlighted in <xref ref-type="table" rid="T2">Table 2</xref>, indicating that all coefficients are highly significant at the 1% significance level. Thus, the cross-sectional dependence of the selected sample data has been confirmed in both models.</p>
<table-wrap id="T2" position="float">
<label>TABLE 2</label>
<caption>
<p>Results of cross-sectional dependency test.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left"/>
<th colspan="2" align="left">Model-1</th>
<th colspan="2" align="left">Model-2</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">Test</td>
<td align="left">Statistics</td>
<td align="left">Probability</td>
<td align="left">Statistics</td>
<td align="left">Probability</td>
</tr>
<tr>
<td align="left">Breusch-Pagan LM</td>
<td align="left">866.79&#x2a;&#x2a;&#x2a;</td>
<td align="left">0.000</td>
<td align="left">944.64&#x2a;&#x2a;&#x2a;</td>
<td align="left">0.002</td>
</tr>
<tr>
<td align="left">Pesaran scaled LM</td>
<td align="left">77.81&#x2a;&#x2a;&#x2a;</td>
<td align="left">0.001</td>
<td align="left">84.33&#x2a;&#x2a;&#x2a;</td>
<td align="left">0.004</td>
</tr>
<tr>
<td align="left">Bias-corrected scaled LM</td>
<td align="left">76.47&#x2a;&#x2a;&#x2a;</td>
<td align="left">0.005</td>
<td align="left">87.13&#x2a;&#x2a;&#x2a;</td>
<td align="left">0.001</td>
</tr>
<tr>
<td align="left">Pesaran CD</td>
<td align="left">6.31&#x2a;&#x2a;&#x2a;</td>
<td align="left">0.007</td>
<td align="left">0.994&#x2a;&#x2a;</td>
<td align="left">0.003</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>
<bold>Note:</bold> &#x2a;, &#x2a;&#x2a;, &#x2a;&#x2a;&#x2a; represent statistical significance levels of 10%, 5%, and 1%, respectively.</p>
</fn>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="s3-2">
<title>3.2 Panel unit root test</title>
<p>First-generation panel unit root tests are invalid due to cross-sectional dependencies of selected sample data. Thus, this study uses the second-generation unit root test, which accounts for the cross-sectional dependence proposed by <xref ref-type="bibr" rid="B92">Pesaran (2007)</xref>.</p>
<p>The basic equation for each variable e<sub>it</sub> has the following expression:<disp-formula id="e9">
<mml:math id="m10">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">e</mml:mi>
<mml:mrow>
<mml:mi mathvariant="normal">i</mml:mi>
<mml:mi mathvariant="normal">t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi mathvariant="normal">e</mml:mi>
<mml:mi mathvariant="normal">i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">&#x3b5;</mml:mi>
<mml:mi mathvariant="normal">i</mml:mi>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi mathvariant="normal">&#x3b5;</mml:mi>
<mml:mi mathvariant="normal">i</mml:mi>
</mml:msub>
<mml:msub>
<mml:mi mathvariant="normal">e</mml:mi>
<mml:mi mathvariant="normal">i</mml:mi>
</mml:msub>
<mml:msub>
<mml:mo>,</mml:mo>
<mml:mrow>
<mml:mi mathvariant="normal">t</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi mathvariant="normal">&#x3b5;</mml:mi>
<mml:mrow>
<mml:mi mathvariant="normal">i</mml:mi>
<mml:mi mathvariant="normal">t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>,</mml:mo>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi mathvariant="normal">i</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
<mml:mo>,</mml:mo>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mo>&#x2026;</mml:mo>
<mml:mo>&#x2026;</mml:mo>
<mml:mo>,</mml:mo>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi mathvariant="normal">M</mml:mi>
<mml:mo>;</mml:mo>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi mathvariant="normal">t</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
<mml:mo>,</mml:mo>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mo>&#x2026;</mml:mo>
<mml:mo>&#x2026;</mml:mo>
<mml:mo>,</mml:mo>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi mathvariant="normal">K</mml:mi>
</mml:mrow>
</mml:math>
<label>(9)</label>
</disp-formula>
</p>
<p>Where &#x3b5;it is the error term, which can be expressed as the undetected common factor ft function.<disp-formula id="e10">
<mml:math id="m11">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">&#x3b5;</mml:mi>
<mml:mrow>
<mml:mi mathvariant="normal">i</mml:mi>
<mml:mi mathvariant="normal">t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mi mathvariant="normal">&#x3ba;</mml:mi>
<mml:mi mathvariant="normal">i</mml:mi>
</mml:msub>
<mml:msub>
<mml:mi mathvariant="normal">f</mml:mi>
<mml:mi mathvariant="normal">t</mml:mi>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi mathvariant="normal">&#x3bc;</mml:mi>
<mml:mrow>
<mml:mi mathvariant="normal">i</mml:mi>
<mml:mi mathvariant="normal">t</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
<label>(10)</label>
</disp-formula>
</p>
<p>As &#x3b5;<sub>it</sub> represents a country-specific factor, thus, we obtain Eq. <xref ref-type="disp-formula" rid="e11">11</xref> below from Eq. <xref ref-type="disp-formula" rid="e9">9</xref>.<disp-formula id="e11">
<mml:math id="m12">
<mml:mrow>
<mml:mo>&#x394;</mml:mo>
<mml:msub>
<mml:mi mathvariant="normal">e</mml:mi>
<mml:mrow>
<mml:mi mathvariant="normal">i</mml:mi>
<mml:mi mathvariant="normal">t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mi mathvariant="normal">&#x3b2;</mml:mi>
<mml:mi mathvariant="normal">i</mml:mi>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi mathvariant="normal">&#x3b1;</mml:mi>
<mml:mi mathvariant="normal">i</mml:mi>
</mml:msub>
<mml:msub>
<mml:mi mathvariant="normal">e</mml:mi>
<mml:mrow>
<mml:mi mathvariant="normal">i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi mathvariant="normal">t</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi mathvariant="normal">&#x3ba;</mml:mi>
<mml:mi mathvariant="normal">i</mml:mi>
</mml:msub>
<mml:msub>
<mml:mi mathvariant="normal">f</mml:mi>
<mml:mi mathvariant="normal">t</mml:mi>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi mathvariant="normal">&#x3bc;</mml:mi>
<mml:mrow>
<mml:mi mathvariant="normal">i</mml:mi>
<mml:mi mathvariant="normal">t</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
<label>(11)</label>
</disp-formula>
</p>
<p>Thus, the cross-sectional augmented Dicky-Fuller (CADF) panel unit root test<disp-formula id="e12">
<mml:math id="m13">
<mml:mrow>
<mml:mo>&#x394;</mml:mo>
<mml:msub>
<mml:mi mathvariant="normal">e</mml:mi>
<mml:mrow>
<mml:mi mathvariant="normal">i</mml:mi>
<mml:mi mathvariant="normal">t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mi mathvariant="normal">&#x3b2;</mml:mi>
<mml:mi mathvariant="normal">i</mml:mi>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi mathvariant="normal">&#x3b1;</mml:mi>
<mml:mi mathvariant="normal">i</mml:mi>
</mml:msub>
<mml:msub>
<mml:mi mathvariant="normal">e</mml:mi>
<mml:mrow>
<mml:mi mathvariant="normal">i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi mathvariant="normal">t</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi mathvariant="normal">d</mml:mi>
<mml:mi mathvariant="normal">i</mml:mi>
</mml:msub>
<mml:mo>&#x394;</mml:mo>
<mml:msub>
<mml:mover accent="true">
<mml:mi>e</mml:mi>
<mml:mo>&#xaf;</mml:mo>
</mml:mover>
<mml:mi>t</mml:mi>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi mathvariant="normal">&#x3bc;</mml:mi>
<mml:mrow>
<mml:mi mathvariant="normal">i</mml:mi>
<mml:mi mathvariant="normal">t</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
<label>(12)</label>
</disp-formula>
</p>
<p>The null hypothesis of no stationarity associated with each series in Eq. <xref ref-type="disp-formula" rid="e12">12</xref> determines the integration order based on the OLS estimator &#x3b1;i. The following Eq. <xref ref-type="disp-formula" rid="e13">13</xref> represents the CADF t statistical mathematical expression.<disp-formula id="e13">
<mml:math id="m14">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="bold-italic">t</mml:mi>
<mml:mi mathvariant="bold-italic">t</mml:mi>
</mml:msub>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi mathvariant="bold-italic">K</mml:mi>
<mml:mo>,</mml:mo>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi mathvariant="bold-italic">&#x422;</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mo>&#x394;</mml:mo>
<mml:msub>
<mml:mi mathvariant="bold-italic">y</mml:mi>
<mml:mi mathvariant="bold-italic">i</mml:mi>
</mml:msub>
<mml:mtext>&#x2009;</mml:mtext>
<mml:msub>
<mml:mover accent="true">
<mml:mi mathvariant="bold-italic">M</mml:mi>
<mml:mo>&#xaf;</mml:mo>
</mml:mover>
<mml:mi mathvariant="bold-italic">w</mml:mi>
</mml:msub>
<mml:mtext>&#x2009;</mml:mtext>
<mml:msub>
<mml:mi mathvariant="bold-italic">z</mml:mi>
<mml:mrow>
<mml:mi mathvariant="bold-italic">i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mo>&#x2212;</mml:mo>
<mml:mn mathvariant="bold">1</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mover accent="true">
<mml:mi mathvariant="bold">&#x3c3;</mml:mi>
<mml:mo>&#x5e;</mml:mo>
</mml:mover>
<mml:mi mathvariant="bold-italic">i</mml:mi>
</mml:msub>
<mml:msup>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="bold-italic">y</mml:mi>
<mml:mi mathvariant="bold-italic">i</mml:mi>
</mml:msub>
<mml:msub>
<mml:mover accent="true">
<mml:mi mathvariant="bold-italic">M</mml:mi>
<mml:mo>&#xaf;</mml:mo>
</mml:mover>
<mml:mi mathvariant="bold-italic">w</mml:mi>
</mml:msub>
<mml:msub>
<mml:mi mathvariant="bold-italic">z</mml:mi>
<mml:mrow>
<mml:mi mathvariant="bold-italic">i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mo>&#x2212;</mml:mo>
<mml:mn mathvariant="bold">1</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mrow>
<mml:mn mathvariant="bold">1</mml:mn>
<mml:mo>/</mml:mo>
<mml:mn mathvariant="bold">2</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
<label>(13)</label>
</disp-formula>
</p>
<p>The following specific CIPS tests are derived from the generalized Eq. <xref ref-type="disp-formula" rid="e13">13</xref> above, but require critical values and simulations.<disp-formula id="e14">
<mml:math id="m15">
<mml:mrow>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mi mathvariant="normal">I</mml:mi>
<mml:mi mathvariant="normal">P</mml:mi>
<mml:mi mathvariant="normal">S</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi mathvariant="normal">K</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi mathvariant="normal">T</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#x3d;</mml:mo>
<mml:mover accent="true">
<mml:mi>t</mml:mi>
<mml:mo>&#xaf;</mml:mo>
</mml:mover>
<mml:mo>&#x3d;</mml:mo>
<mml:msup>
<mml:mi>k</mml:mi>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msup>
<mml:msubsup>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi>k</mml:mi>
</mml:msubsup>
<mml:msub>
<mml:mi>t</mml:mi>
<mml:mi mathvariant="normal">i</mml:mi>
</mml:msub>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi mathvariant="normal">K</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi mathvariant="normal">T</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
<label>(14)</label>
</disp-formula>
</p>
<p>The panel unit root test results shown in <xref ref-type="table" rid="T3">Table 3</xref> obviously display that the entire variables at the first derivative transform to a stationary state, which allows us to use panel long term cointegration and long term elasticity estimates.</p>
<table-wrap id="T3" position="float">
<label>TABLE 3</label>
<caption>
<p>Results of the panel unit root tests.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Variables</th>
<th colspan="2" align="left">LCC</th>
<th colspan="2" align="left">IPS</th>
<th colspan="2" align="left">ADF-Fisher</th>
<th colspan="2" align="left">PP-Fisher</th>
<th colspan="2" align="left">CADF</th>
<th colspan="2" align="left">CIPS</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left"/>
<td align="left">C</td>
<td align="left">C &#x2b; T</td>
<td align="left">C</td>
<td align="left">C &#x2b; T</td>
<td align="left">C</td>
<td align="left">C &#x2b; T</td>
<td align="left">C</td>
<td align="left">C &#x2b; T</td>
<td align="left">C</td>
<td align="left">C &#x2b; T</td>
<td align="left">C</td>
<td align="left">C &#x2b; T</td>
</tr>
<tr>
<td align="left">InCC</td>
<td align="left">&#x2212;1.97&#x2a;&#x2a;</td>
<td align="left">&#x2212;3.46</td>
<td align="left">0.52</td>
<td align="left">&#x2212;0.47&#x2a;</td>
<td align="left">31.72</td>
<td align="left">24.31</td>
<td align="left">312.83</td>
<td align="left">21.32</td>
<td align="left">0.12</td>
<td align="left">0.48</td>
<td align="left">&#x2212;1.72</td>
<td align="left">&#x2212;0.42</td>
</tr>
<tr>
<td align="left">InREC</td>
<td align="left">1.69</td>
<td align="left">4.37</td>
<td align="left">0.58</td>
<td align="left">2.38</td>
<td align="left">24.73</td>
<td align="left">63.24</td>
<td align="left">173.69</td>
<td align="left">31.52</td>
<td align="left">0.92</td>
<td align="left">0.82</td>
<td align="left">&#x2212;1.35</td>
<td align="left">&#x2212;1.92</td>
</tr>
<tr>
<td align="left">InGDP</td>
<td align="left">1.59</td>
<td align="left">6.37</td>
<td align="left">1.58</td>
<td align="left">3.48</td>
<td align="left">17.92</td>
<td align="left">52.14</td>
<td align="left">39.93</td>
<td align="left">41.42</td>
<td align="left">1.62</td>
<td align="left">1.36</td>
<td align="left">&#x2212;1.47</td>
<td align="left">&#x2212;2.71</td>
</tr>
<tr>
<td align="left">InURB</td>
<td align="left">7.39&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;1.58</td>
<td align="left">&#x2212;2.82</td>
<td align="left">4.82</td>
<td align="left">19.28</td>
<td align="left">26.72</td>
<td align="left">79.48</td>
<td align="left">51.73</td>
<td align="left">2.47</td>
<td align="left">2.83</td>
<td align="left">&#x2212;1.98</td>
<td align="left">&#x2212;1.62</td>
</tr>
<tr>
<td align="left">InTIN</td>
<td align="left">&#x2212;6.94</td>
<td align="left">&#x2212;1.38</td>
<td align="left">&#x2212;4.43</td>
<td align="left">&#x2212;5.48</td>
<td align="left">29.73</td>
<td align="left">17.92</td>
<td align="left">79.72</td>
<td align="left">32.42</td>
<td align="left">&#x2212;6.72</td>
<td align="left">&#x2212;3.82</td>
<td align="left">&#x2212;0.95</td>
<td align="left">&#x2212;0.73</td>
</tr>
<tr>
<td align="left">InNREC</td>
<td align="left">&#x2212;6.71</td>
<td align="left">&#x2212;4.19</td>
<td align="left">&#x2212;3.59</td>
<td align="left">&#x2212;0.91</td>
<td align="left">47.82</td>
<td align="left">5.32</td>
<td align="left">96.72</td>
<td align="left">52.62</td>
<td align="left">&#x2212;5.23</td>
<td align="left">2.51</td>
<td align="left">&#x2212;1.85</td>
<td align="left">&#x2212;1.82</td>
</tr>
<tr>
<td align="left">&#x2206;InCC</td>
<td align="left">&#x2212;3.95&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;3.47&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;2.26&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;2.95&#x2a;&#x2a;&#x2a;</td>
<td align="left">16.72&#x2a;&#x2a;</td>
<td align="left">134.32&#x2a;&#x2a;</td>
<td align="left">85.52&#x2a;&#x2a;&#x2a;</td>
<td align="left">52.92&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;0.62&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;1.72&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;1.39&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;1.72&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left">&#x2206;InREC</td>
<td align="left">&#x2212;5.57&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;4.48&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;3.47&#x2a;&#x2a;&#x2a;</td>
<td align="left">-0.39&#x2a;&#x2a;&#x2a;</td>
<td align="left">27.69&#x2a;&#x2a;&#x2a;</td>
<td align="left">213.21&#x2a;&#x2a;</td>
<td align="left">62.63&#x2a;&#x2a;&#x2a;</td>
<td align="left">82.31&#x2a;&#x2a;</td>
<td align="left">&#x2212;1.72&#x2a;&#x2a;</td>
<td align="left">&#x2212;1.82&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;1.94&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;0.81&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left">&#x2206;InGDP</td>
<td align="left">&#x2212;3.73&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;0.49&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;5.73&#x2a;&#x2a;</td>
<td align="left">&#x2212;1.62&#x2a;&#x2a;&#x2a;</td>
<td align="left">13.62&#x2a;&#x2a;&#x2a;</td>
<td align="left">21.34&#x2a;&#x2a;&#x2a;</td>
<td align="left">27.61&#x2a;&#x2a;</td>
<td align="left">92.72&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;2.71&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;2.61&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;0.82&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;1.85&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left">&#x2206;InURB</td>
<td align="left">&#x2212;6.58&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;7.69&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;3.49&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;1.39&#x2a;&#x2a;&#x2a;</td>
<td align="left">19.72&#x2a;&#x2a;&#x2a;</td>
<td align="left">49.32&#x2a;&#x2a;&#x2a;</td>
<td align="left">72.73&#x2a;&#x2a;</td>
<td align="left">24.62&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;2.11&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;3.12&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;0.62&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;1.62&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left">&#x2206;InTIN</td>
<td align="left">&#x2212;6.47&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;-2.71&#x2a;&#x2a;</td>
<td align="left">&#x2212;2.38&#x2a;&#x2a;</td>
<td align="left">&#x2212;0.72&#x2a;&#x2a;&#x2a;</td>
<td align="left">33.82&#x2a;&#x2a;&#x2a;</td>
<td align="left">93.21&#x2a;&#x2a;&#x2a;</td>
<td align="left">29.41&#x2a;&#x2a;&#x2a;</td>
<td align="left">95.73&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;4.12&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;1.67&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;0.12&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;1.25&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left">&#x2206;InNREC</td>
<td align="left">&#x2212;7.54&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;3.29&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;3.39&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;1.52&#x2a;&#x2a;&#x2a;</td>
<td align="left">21.92&#x2a;&#x2a;&#x2a;</td>
<td align="left">83.25&#x2a;&#x2a;&#x2a;</td>
<td align="left">28.73&#x2a;&#x2a;&#x2a;</td>
<td align="left">62.82&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;0.92&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;1.95&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;2.27&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;2.51&#x2a;&#x2a;&#x2a;</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>
<bold>Note:</bold> &#x2a;, &#x2a;&#x2a;, &#x2a;&#x2a;&#x2a; represent statistical significance levels of 10%, 5%, and 1%, respectively, C stands for constant and C &#x2b; T denotes constant and trend.</p>
</fn>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="s3-3">
<title>3.3 Panel cointegration test</title>
<p>After careful examination of cross-sectional correlations and unit root issues, the next step is to apply the state-of-the-art techniques of <xref ref-type="bibr" rid="B126">Westerlund (2007)</xref> to determine cointegration relationships between series. The Westernlund cointegration test is an error-correcting test that addresses cross-sectional dependence problems. The technique stands out based on structure rather than residual dynamics, and thus is not affected by unobserved co-factors (<xref ref-type="bibr" rid="B49">Ibrahim et al., 2022</xref>; <xref ref-type="bibr" rid="B132">Zhang C et al., 2022</xref>). Below is the expression for the econometric model of the <xref ref-type="bibr" rid="B126">Westerlund (2007)</xref> cointegration test.<disp-formula id="e15">
<mml:math id="m16">
<mml:mrow>
<mml:mo>&#x394;</mml:mo>
<mml:msub>
<mml:mi mathvariant="normal">Z</mml:mi>
<mml:mrow>
<mml:mi mathvariant="normal">i</mml:mi>
<mml:mi mathvariant="normal">t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mi>&#x3b4;</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:msub>
<mml:mi>d</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3b2;</mml:mi>
<mml:mi mathvariant="normal">i</mml:mi>
</mml:msub>
<mml:msub>
<mml:mi mathvariant="normal">z</mml:mi>
<mml:mrow>
<mml:mi mathvariant="normal">i</mml:mi>
<mml:mi mathvariant="normal">t</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3bb;</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:msub>
<mml:mi mathvariant="normal">y</mml:mi>
<mml:mrow>
<mml:mi mathvariant="normal">i</mml:mi>
<mml:mi mathvariant="normal">t</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:mrow>
<mml:munderover>
<mml:mstyle displaystyle="true">
<mml:mo>&#x2211;</mml:mo>
</mml:mstyle>
<mml:mrow>
<mml:mi>j</mml:mi>
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<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mi>K</mml:mi>
<mml:mi>i</mml:mi>
</mml:mrow>
</mml:munderover>
<mml:msub>
<mml:mi>&#x3b2;</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>j</mml:mi>
</mml:mrow>
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</mml:mrow>
<mml:mo>&#x394;</mml:mo>
<mml:msub>
<mml:mi>v</mml:mi>
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<mml:mi>i</mml:mi>
<mml:mi>t</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:mrow>
<mml:munderover>
<mml:mstyle displaystyle="true">
<mml:mo>&#x2211;</mml:mo>
</mml:mstyle>
<mml:mrow>
<mml:mi>j</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mi>K</mml:mi>
<mml:mi>i</mml:mi>
</mml:mrow>
</mml:munderover>
<mml:msub>
<mml:mi>&#x3bb;</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mo>&#x394;</mml:mo>
<mml:msub>
<mml:mi>x</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>t</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>j</mml:mi>
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<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi mathvariant="normal">&#x3b5;</mml:mi>
<mml:mrow>
<mml:mi mathvariant="normal">i</mml:mi>
<mml:mi mathvariant="normal">t</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
<label>(15)</label>
</disp-formula>
</p>
<p>&#x3b2;i is the adjustment speed in the above Eq. <xref ref-type="disp-formula" rid="e15">15</xref>, which establishes the adjustment for the long-term fluctuation after the short-term imbalance. <xref ref-type="bibr" rid="B126">Westerlund (2007)</xref> proposed four tests to determine cointegration, the first two of which are highlighted below, called the group mean statistics.<disp-formula id="e16">
<mml:math id="m17">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">G</mml:mi>
<mml:mi mathvariant="normal">t</mml:mi>
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<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mn>1</mml:mn>
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<mml:mrow>
<mml:mi>N</mml:mi>
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</mml:mfrac>
<mml:mrow>
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<mml:mstyle displaystyle="true">
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<mml:mn>1</mml:mn>
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<mml:mi>N</mml:mi>
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<mml:mfrac>
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<mml:mrow>
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<mml:mi>E</mml:mi>
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<mml:mi>&#x3b2;</mml:mi>
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</mml:mover>
<mml:mi>i</mml:mi>
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<label>(16)</label>
</disp-formula>
<disp-formula id="e17">
<mml:math id="m18">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">G</mml:mi>
<mml:mi>&#x3b2;</mml:mi>
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<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mi>N</mml:mi>
</mml:mrow>
</mml:mfrac>
<mml:mrow>
<mml:munderover>
<mml:mstyle displaystyle="true">
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</mml:mstyle>
<mml:mrow>
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<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi>N</mml:mi>
</mml:munderover>
<mml:mfrac>
<mml:mrow>
<mml:mi>&#x422;</mml:mi>
<mml:msub>
<mml:mover accent="true">
<mml:mi>&#x3b2;</mml:mi>
<mml:mo>&#x5e;</mml:mo>
</mml:mover>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mover accent="true">
<mml:mi>&#x3b2;</mml:mi>
<mml:mo>&#x5e;</mml:mo>
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<mml:mi>i</mml:mi>
</mml:msub>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mn>1</mml:mn>
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<label>(17)</label>
</disp-formula>
</p>
<p>If the two tests are determined to be statistically significant, the null hypothesis that there is no cointegration relationship between the variables in the entire panel can be rejected. Statistics from the other two panels determine to explore cointegration in at least one country.<disp-formula id="e18">
<mml:math id="m19">
<mml:mrow>
<mml:msub>
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<mml:mover accent="true">
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<mml:mi>i</mml:mi>
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<label>(18)</label>
</disp-formula>
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<mml:math id="m20">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">P</mml:mi>
<mml:mi>&#x3b2;</mml:mi>
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<mml:mo>&#x3d;</mml:mo>
<mml:mi>&#x422;</mml:mi>
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<mml:mover accent="true">
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</mml:msub>
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<label>(19)</label>
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</sec>
<sec id="s3-4">
<title>3.4 Panel long-term variable elasticity estimation</title>
<p>Panel Fully Modified Ordinary Least Squares (FMOLS) may be the best options for determining long-term variable elasticity after establishing long-term panel cointegration, but FMOLS strategies ignore cross-sectional dependence issues (<xref ref-type="bibr" rid="B79">Nketiah et al., 2022</xref>; <xref ref-type="bibr" rid="B101">Shahbaz et al., 2022</xref>). Econometric models subject to cross-sectional dependencies and country-specific heterogeneity may produce biased or misleading inferences (<xref ref-type="bibr" rid="B69">Maza &#x26; Guti&#xe9;rrez-Portilla, 2022</xref>). Thus, to overcome these problems, <xref ref-type="bibr" rid="B39">Eberhardt and Bond (2009)</xref> and <xref ref-type="bibr" rid="B109">Teal &#x26; Eberhardt (2010)</xref> introduced the Augmented Mean Group (AMG) method, which can produce more robust results than traditional methods.</p>
<p>The main benefits of the AMG estimator can support the achievement of more fully policy-oriented goals and provide country-specific results. The two-stage process of AMG estimation in functional form is shown in Eqs <xref ref-type="disp-formula" rid="e20">20</xref>, <xref ref-type="disp-formula" rid="e21">21</xref> as follows:<disp-formula id="e20">
<mml:math id="m21">
<mml:mrow>
<mml:mo>&#x394;</mml:mo>
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<mml:mi mathvariant="normal">Z</mml:mi>
<mml:mrow>
<mml:mi mathvariant="normal">i</mml:mi>
<mml:mi mathvariant="normal">t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mi mathvariant="normal">&#x3b2;</mml:mi>
<mml:mi mathvariant="normal">i</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi mathvariant="normal">&#x3c1;</mml:mi>
<mml:mi mathvariant="normal">i</mml:mi>
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<mml:mo>&#x394;</mml:mo>
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<mml:mi mathvariant="normal">x</mml:mi>
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</mml:mrow>
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<mml:mo>&#x2b;</mml:mo>
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<mml:mi mathvariant="normal">g</mml:mi>
<mml:mi mathvariant="normal">t</mml:mi>
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<mml:mo>&#x2b;</mml:mo>
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<mml:mi>&#x422;</mml:mi>
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<mml:mtext>&#x2009;</mml:mtext>
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<mml:mi mathvariant="normal">&#x3b1;</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>&#x394;</mml:mo>
<mml:msub>
<mml:mi mathvariant="normal">h</mml:mi>
<mml:mi mathvariant="normal">t</mml:mi>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
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<mml:mi mathvariant="normal">&#x3b5;</mml:mi>
<mml:mrow>
<mml:mi mathvariant="normal">i</mml:mi>
<mml:mi mathvariant="normal">t</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
<label>(20)</label>
</disp-formula>
<disp-formula id="e21">
<mml:math id="m22">
<mml:mrow>
<mml:msub>
<mml:mover accent="true">
<mml:mi>&#x3b2;</mml:mi>
<mml:mo>&#x5e;</mml:mo>
</mml:mover>
<mml:mrow>
<mml:mi>A</mml:mi>
<mml:mi>M</mml:mi>
<mml:mi>G</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:msup>
<mml:mi mathvariant="normal">N</mml:mi>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msup>
<mml:mtext>&#x2009;</mml:mtext>
<mml:msubsup>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>2</mml:mn>
</mml:mrow>
<mml:mi>&#x422;</mml:mi>
</mml:msubsup>
<mml:mtext>&#x2009;</mml:mtext>
<mml:msub>
<mml:mover accent="true">
<mml:mi>&#x3b2;</mml:mi>
<mml:mo>&#x5e;</mml:mo>
</mml:mover>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
<label>(21)</label>
</disp-formula>where &#x3b2;i is the intercept, Z<sub>it</sub> and X<sub>it</sub> represent observed factors and &#x3c1;i is the cross sectional coefficient estimator. gt shows the unobserved factors with heterogeneous dynamics, <inline-formula id="inf1">
<mml:math id="m23">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b1;</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> represents the dummy coefficient of time. Moreover, <inline-formula id="inf2">
<mml:math id="m24">
<mml:mrow>
<mml:msub>
<mml:mover accent="true">
<mml:mi>&#x3b2;</mml:mi>
<mml:mo>&#x5e;</mml:mo>
</mml:mover>
<mml:mrow>
<mml:mi>A</mml:mi>
<mml:mi>M</mml:mi>
<mml:mi>G</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
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</inline-formula> is the augmented mean Group (AMG) estimator and &#x3b5;<sub>it</sub> display the error term.</p>
</sec>
<sec id="s3-5">
<title>3.5 Country-specific analysis by augmented mean groups (AMGs) estimation method</title>
<p>Following <xref ref-type="bibr" rid="B22">Cergibozan (2022)</xref>, this study also uses Augmented Average Groups (AMGs) to reveal the impact of FDI and institutional quality on economic growth and climate change in individual countries. AMG is a panel autoregressive distributed lag (ARDL) model that allows for cross-sectional correlation and sample heterogeneity, outperforming first-generation panel estimation techniques (<xref ref-type="bibr" rid="B105">Sim and Sek, 2022</xref>; <xref ref-type="bibr" rid="B125">Wei and Huang, 2022</xref>). This approach incorporates common dynamic effects (CDEs) into a two-stage estimation process to account for cross-sectional dependencies (<xref ref-type="bibr" rid="B46">Hashmi et al., 2021</xref>; <xref ref-type="bibr" rid="B70">Maza, 2022</xref>). Moreover, this technique does not have the prerequisites for non-stationary series and cointegration of variables (<xref ref-type="bibr" rid="B102">Shan et al., 2021</xref>). Thus, AMG method based on these salient features are best suited to examine the national-level impacts of FDI and institutional quality on economic growth and climate change in the form of first-order differences.</p>
</sec>
<sec id="s3-6">
<title>3.6 Granger estimation of causality</title>
<p>Careful scrutiny of causal relationships between correlated variables is even more critical for policy guidance and formulation. Thus, this study determined to use the more robust Granger causality test of <xref ref-type="bibr" rid="B38">Dumitrescu and Hurlin (2012)</xref> to reveal one-way or two-way causality between variables. Compared to traditional VECM, this approach is more efficient and effective because it also works with small samples, while addressing econometric issues of sample heterogeneity and cross-sectional dependence (<xref ref-type="bibr" rid="B17">Azam et al., 2021</xref>; <xref ref-type="bibr" rid="B45">Hashemizadeh et al., 2021</xref>; <xref ref-type="bibr" rid="B46">Hashmi et al., 2021</xref>). Following <xref ref-type="bibr" rid="B15">Awad and Warsame (2022)</xref> and <xref ref-type="bibr" rid="B26">Chen S et al. (2022)</xref>, this study uses the Heterogeneous Dumitrescu and Hurlin (DH) causality approach with the reverse causality problem as an additional robustness measure. The Dumitrescu and Hurlin (DH) model can be expressed as follows:<disp-formula id="e22">
<mml:math id="m25">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">Z</mml:mi>
<mml:mrow>
<mml:mi mathvariant="normal">i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi mathvariant="normal">t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
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</mml:msub>
<mml:mo>&#x2b;</mml:mo>
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<mml:mstyle displaystyle="true">
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<mml:mi>&#x3c1;</mml:mi>
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<mml:mi mathvariant="normal">z</mml:mi>
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<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mtext>&#x2002;</mml:mtext>
<mml:mi>t</mml:mi>
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<mml:mo>&#x2b;</mml:mo>
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<mml:mstyle displaystyle="true">
<mml:mo>&#x2211;</mml:mo>
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<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>&#x3d;</mml:mo>
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</mml:mrow>
<mml:mi>K</mml:mi>
</mml:munderover>
<mml:mrow>
<mml:msubsup>
<mml:mi>&#x3b1;</mml:mi>
<mml:mi>i</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>K</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:msubsup>
<mml:msub>
<mml:mi>y</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mtext>&#x2002;</mml:mtext>
<mml:mi>t</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>n</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mrow>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi mathvariant="normal">&#x3b5;</mml:mi>
<mml:mrow>
<mml:mi mathvariant="normal">i</mml:mi>
<mml:mi mathvariant="normal">t</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
<label>(22)</label>
</disp-formula>where &#x3c1; and y are variables pair-wise combinations, n represent the maximum lag length, i is cross section and t indicate time. <inline-formula id="inf3">
<mml:math id="m26">
<mml:mrow>
<mml:msubsup>
<mml:mi>&#x3c1;</mml:mi>
<mml:mi>i</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>K</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula id="inf4">
<mml:math id="m27">
<mml:mrow>
<mml:msubsup>
<mml:mi>&#x3b1;</mml:mi>
<mml:mi>i</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>K</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> represent the sample country coefficients in the regression. The null and alternative hypotheses of the Dumitrescu and Hurlin (DH) causality method can be expressed as follows:<disp-formula id="equ2">
<mml:math id="m28">
<mml:mrow>
<mml:mi mathvariant="normal">N</mml:mi>
<mml:mi mathvariant="normal">u</mml:mi>
<mml:mi mathvariant="normal">l</mml:mi>
<mml:mi mathvariant="normal">l</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi mathvariant="normal">h</mml:mi>
<mml:mi mathvariant="normal">y</mml:mi>
<mml:mi mathvariant="normal">p</mml:mi>
<mml:mi mathvariant="normal">o</mml:mi>
<mml:mi mathvariant="normal">t</mml:mi>
<mml:mi mathvariant="normal">h</mml:mi>
<mml:mi mathvariant="normal">e</mml:mi>
<mml:mi mathvariant="normal">s</mml:mi>
<mml:mi mathvariant="normal">i</mml:mi>
<mml:mi mathvariant="normal">s</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mo>&#x2192;</mml:mo>
<mml:mtext>&#x2009;</mml:mtext>
<mml:msub>
<mml:mi mathvariant="normal">H</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mi mathvariant="normal">&#x3b1;</mml:mi>
<mml:mi mathvariant="normal">i</mml:mi>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>0</mml:mn>
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</mml:math>
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<disp-formula id="equ3">
<mml:math id="m29">
<mml:mrow>
<mml:mi mathvariant="normal">A</mml:mi>
<mml:mi mathvariant="normal">l</mml:mi>
<mml:mi mathvariant="normal">t</mml:mi>
<mml:mi mathvariant="normal">e</mml:mi>
<mml:mi mathvariant="normal">r</mml:mi>
<mml:mi mathvariant="normal">n</mml:mi>
<mml:mi mathvariant="normal">a</mml:mi>
<mml:mi mathvariant="normal">t</mml:mi>
<mml:mi mathvariant="normal">i</mml:mi>
<mml:mi mathvariant="normal">v</mml:mi>
<mml:mi mathvariant="normal">e</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi mathvariant="normal">h</mml:mi>
<mml:mi mathvariant="normal">y</mml:mi>
<mml:mi mathvariant="normal">p</mml:mi>
<mml:mi mathvariant="normal">o</mml:mi>
<mml:mi mathvariant="normal">t</mml:mi>
<mml:mi mathvariant="normal">h</mml:mi>
<mml:mi mathvariant="normal">e</mml:mi>
<mml:mi mathvariant="normal">s</mml:mi>
<mml:mi mathvariant="normal">i</mml:mi>
<mml:mi mathvariant="normal">s</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mo>&#x2192;</mml:mo>
<mml:mtext>&#x2009;</mml:mtext>
<mml:msub>
<mml:mi mathvariant="normal">H</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mi mathvariant="normal">&#x3b1;</mml:mi>
<mml:mi mathvariant="normal">i</mml:mi>
</mml:msub>
<mml:mo>&#x2260;</mml:mo>
<mml:mn>0</mml:mn>
<mml:mo>,</mml:mo>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi mathvariant="normal">w</mml:mi>
<mml:mi mathvariant="normal">h</mml:mi>
<mml:mi mathvariant="normal">e</mml:mi>
<mml:mi mathvariant="normal">r</mml:mi>
<mml:mi mathvariant="normal">e</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mo>&#x2200;</mml:mo>
<mml:mi mathvariant="normal">i</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
<mml:mo>,</mml:mo>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mn>2</mml:mn>
<mml:mo>&#x2026;</mml:mo>
<mml:mo>&#x2026;</mml:mo>
<mml:mi mathvariant="normal">N</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi mathvariant="normal">a</mml:mi>
<mml:mi mathvariant="normal">n</mml:mi>
<mml:mi mathvariant="normal">d</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mo>&#x2200;</mml:mo>
<mml:mi mathvariant="normal">i</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mi mathvariant="normal">N</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>1</mml:mn>
<mml:mo>,</mml:mo>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi mathvariant="normal">N</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>2</mml:mn>
<mml:mo>.</mml:mo>
<mml:mo>.</mml:mo>
<mml:mo>&#x2026;</mml:mo>
<mml:mi mathvariant="normal">N</mml:mi>
</mml:mrow>
</mml:math>
</disp-formula>
</p>
</sec>
</sec>
<sec id="s4">
<title>4 Analysis results and interpretation</title>
<p>
<xref ref-type="table" rid="T4">Table 4</xref> below highlights summary statistics for each variable for the period 1975&#x2013;2020. Descriptive statistics comprise the average, minimum and maximum values, and standard deviation of the panel variable data. The annual average temperature of selected emerging economies in Asia is 17.25&#xb0;C, and the fluctuation range is 18.64&#xb0;C-38.72&#xb0;C. Average GDP is highlighted at $1,195.14 billion, with its standard deviation fluctuating widely over the period. The average usage of renewable and non-renewable energy are 3.54 and 17.38&#xa0;million tons of oil equivalent (Mtoe), respectively. The average urbanization rate and investment in transportation infrastructure, stood out at 39.21% and 26.38 billion United States dollars, respectively. The average urbanization rate reflects that 39% of the population lives in urban areas, while the average amount allocated to investment in transport infrastructure in selected emerging Asian countries is US$26.38 billion. Model multicollinearity issues for each variable have been tested with correlation coefficients and variance inflation factors (VIFs), as shown in <xref ref-type="table" rid="T4">Table 4</xref>. The VIF test obviously shows that the statistic for each variable is less than 5, confirming that the model does not suffer from multicollinearity issues.</p>
<table-wrap id="T4" position="float">
<label>TABLE 4</label>
<caption>
<p>Panel descriptive statistics and correlation analysis.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Variables</th>
<th align="left">Average</th>
<th align="left">SD</th>
<th align="left">Max</th>
<th align="left">Min</th>
<th align="left">lnCC</th>
<th align="left">lnREC</th>
<th align="left">lnGDP</th>
<th align="left">lnURB</th>
<th align="left">lnNREC</th>
<th align="left">lnTIN</th>
<th align="left">VIF</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">InCC</td>
<td align="left">17.25</td>
<td align="left">5.218</td>
<td align="left">38.72</td>
<td align="left">18.64</td>
<td align="left">1</td>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left">InREC</td>
<td align="left">3.54</td>
<td align="left">0.441</td>
<td align="left">7.18</td>
<td align="left">1.38</td>
<td align="left">&#x2212;0.688</td>
<td align="left">1</td>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left">4.34</td>
</tr>
<tr>
<td align="left">InGDP</td>
<td align="left">1195.14</td>
<td align="left">697.32</td>
<td align="left">1728.31</td>
<td align="left">354.32</td>
<td align="left">0.917</td>
<td align="left">&#x2212;0.816</td>
<td align="left">1</td>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left">4.95</td>
</tr>
<tr>
<td align="left">InURB</td>
<td align="left">39.21</td>
<td align="left">9.32</td>
<td align="left">45.25</td>
<td align="left">15.32</td>
<td align="left">0.879</td>
<td align="left">&#x2212;0.728</td>
<td align="left">0.216</td>
<td align="left">1</td>
<td align="left"/>
<td align="left"/>
<td align="left">4.69</td>
</tr>
<tr>
<td align="left">InNREC</td>
<td align="left">17.38</td>
<td align="left">2.21</td>
<td align="left">25.36</td>
<td align="left">9.253</td>
<td align="left">&#x2212;0.118</td>
<td align="left">&#x2212;0.907</td>
<td align="left">0.416</td>
<td align="left">0.828</td>
<td align="left">1</td>
<td align="left"/>
<td align="left">2.51</td>
</tr>
<tr>
<td align="left">InTIN</td>
<td align="left">26.38</td>
<td align="left">7.915</td>
<td align="left">36.26</td>
<td align="left">18.26</td>
<td align="left">&#x2212;0.318</td>
<td align="left">&#x2212;0.316</td>
<td align="left">0.591</td>
<td align="left">0.672</td>
<td align="left">&#x2212;0.904</td>
<td align="left">1</td>
<td align="left">2.94</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>
<bold>Note:</bold> SD, is the standard deviation, Max and Min are the maximum and minimum values, respectively and VIF, stands for the variance inflation factor.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>The results for the panel unit root in <xref ref-type="table" rid="T2">Table 2</xref> above obviously allow the use of the cointegration test since all variables have the integral property of I(1). The current study uses the <xref ref-type="bibr" rid="B126">Westerlund (2007)</xref> test and the <xref ref-type="bibr" rid="B90">Pedroni (1999)</xref> panel cointegration test benchmark to reveal cointegration relationships among the proposed model variables. The panel cointegration test results of the climate change-based model are shown in <xref ref-type="table" rid="T5">Table 5</xref>. The Westerlund and pedroni panel test of the specified model rejects the null hypothesis based on no cointegration because both the group and panel statistics are significant at the 1% level, reflecting that the variables in the model are cointegrated.</p>
<table-wrap id="T5" position="float">
<label>TABLE 5</label>
<caption>
<p>Panel cointegration test results from <xref ref-type="bibr" rid="B126">Westerlund (2007)</xref> and <xref ref-type="bibr" rid="B90">Pedroni (1999)</xref>.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th colspan="3" align="left">Westerlund test</th>
<th colspan="3" align="left">Pedroni test</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td colspan="6" align="left">CC-model</td>
</tr>
<tr>
<td align="left"/>
<td align="left">Statistics</td>
<td align="left">
<italic>p</italic>-value</td>
<td align="left"/>
<td align="left">Statistics</td>
<td align="left">
<italic>p</italic>-value</td>
</tr>
<tr>
<td align="left">Gt</td>
<td align="left">&#x2212;5.467&#x2a;&#x2a;&#x2a;</td>
<td align="left">0.003</td>
<td align="left">Panel v-Statistic</td>
<td align="left">&#x2212;2.815</td>
<td align="left">0.813</td>
</tr>
<tr>
<td align="left">Ga</td>
<td align="left">&#x2212;9.795</td>
<td align="left">0.503</td>
<td align="left">Panel rho-Statistic</td>
<td align="left">0.538</td>
<td align="left">0.615</td>
</tr>
<tr>
<td align="left">Pt</td>
<td align="left">&#x2212;6.739&#x2a;&#x2a;&#x2a;</td>
<td align="left">0.000</td>
<td align="left">Panel PP-Statistic</td>
<td align="left">&#x2212;3.886&#x2a;&#x2a;&#x2a;</td>
<td align="left">0.004</td>
</tr>
<tr>
<td align="left">Pa</td>
<td align="left">&#x2212;9.139</td>
<td align="left">0.427</td>
<td align="left">Panel ADF-Statistic</td>
<td align="left">&#x2212;4.393&#x2a;&#x2a;&#x2a;</td>
<td align="left">0.000</td>
</tr>
<tr>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left">Group rho-Statistic</td>
<td align="left">0.118</td>
<td align="left">0.881</td>
</tr>
<tr>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left">Group PP-Statistic</td>
<td align="left">&#x2212;2.255&#x2a;&#x2a;&#x2a;</td>
<td align="left">0.000</td>
</tr>
<tr>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left">Group ADF-Statistic</td>
<td align="left">&#x2212;3.711&#x2a;&#x2a;&#x2a;</td>
<td align="left">0.000</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>
<bold>Note:</bold> &#x2a;, &#x2a;&#x2a;, &#x2a;&#x2a;&#x2a; represent statistical significance levels of 10%, 5%, and 1%, respectively.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>The results of the long-term estimated parameters in the proposed model of Eqs <xref ref-type="disp-formula" rid="e3">3</xref>, <xref ref-type="disp-formula" rid="e4">4</xref> are reported in <xref ref-type="table" rid="T6">Table 6</xref>. From the analysis results in the table, it can be seen that, in the selected emerging Asian economies, the contribution of renewable energy consumption to the mitigation of climate change as measured by the annual average temperature is significant. AMG&#x2019;s estimates of variable resilience based on climate change models suggest that for every 1% increase in renewable energy consumption, there is a significant 0.817% reduction in climate change. This finding is congruent with the latest studies by <xref ref-type="bibr" rid="B8">Ali U et al. (2022)</xref>, <xref ref-type="bibr" rid="B66">Luderer et al. (2022)</xref>, <xref ref-type="bibr" rid="B133">Zhang D et al. (2022)</xref>, <xref ref-type="bibr" rid="B93">Raihan et al. (2022)</xref>, <xref ref-type="bibr" rid="B23">Chandio et al. (2022)</xref>, <xref ref-type="bibr" rid="B3">Acaro&#x11f;lu and G&#xfc;ll&#xfc; (2022)</xref>. There is no doubt that the use of fossil fuels is a major source of carbon dioxide emissions, which can be reduced through renewable energy consumption. Carbon dioxide emissions are a major source of global warming because it accelerates heating and evaporation, leading to increased drought duration and intensity. The <xref ref-type="bibr" rid="B12">Asian Development Bank (2021)</xref> focuses on Sustainable Development Goal 7, which sets the goal of universal access to sustainable, reliable, rational and modern energy services in Asian economies by 2030. Renewable energy supports the transition to low carbon emissions and climate change, while non-renewable resources rely on fossil fuels with harmful climate, health and environmental consequences.</p>
<table-wrap id="T6" position="float">
<label>TABLE 6</label>
<caption>
<p>Long-term coefficient estimation results using panel MG, AMG and CCEMG estimators. lnCC<sub>it&#x3d;</sub>f (lnNREC<sub>it,</sub> lnREC<sub>it,</sub> lnGDP<sub>it,</sub> lnTIN<sub>it,</sub> lnURBit).</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left"/>
<th colspan="2" align="left">MG</th>
<th colspan="2" align="left">AMG</th>
<th colspan="2" align="left">CCEMG</th>
</tr>
<tr>
<th align="left">Variables</th>
<td align="left">Coeff</td>
<td align="left">
<italic>p</italic>-value</td>
<th align="left">Coeff</th>
<th align="left">
<italic>p</italic>-value</th>
<th align="left">Coeff</th>
<th align="left">
<italic>p</italic>-value</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">InREC<sub>it</sub>
</td>
<td align="left">&#x2212;0.591&#x2a;&#x2a;&#x2a;</td>
<td align="left">(0.000)</td>
<td align="left">0.817&#x2a;&#x2a;&#x2a;</td>
<td align="left">(0.001)</td>
<td align="left">&#x2212;0.216&#x2a;&#x2a;&#x2a;</td>
<td align="left">(0.000)</td>
</tr>
<tr>
<td align="left">InNREC<sub>it</sub>
</td>
<td align="left">0.792&#x2a;&#x2a;&#x2a;</td>
<td align="left">(0.002)</td>
<td align="left">0.682&#x2a;&#x2a;&#x2a;</td>
<td align="left">(0.003)</td>
<td align="left">0.681&#x2a;&#x2a;&#x2a;</td>
<td align="left">(0.002)</td>
</tr>
<tr>
<td align="left">InGDP,<sub>it</sub>
</td>
<td align="left">&#x2212;0.429&#x2a;&#x2a;&#x2a;</td>
<td align="left">(0.003)</td>
<td align="left">0.601&#x2a;&#x2a;&#x2a;</td>
<td align="left">(0.005)</td>
<td align="left">0.318&#x2a;&#x2a;&#x2a;</td>
<td align="left">(0.000)</td>
</tr>
<tr>
<td align="left">InTIN<sub>it</sub>
</td>
<td align="left">0.882&#x2a;&#x2a;</td>
<td align="left">(0.029)</td>
<td align="left">0.605&#x2a;</td>
<td align="left">(0.051)</td>
<td align="left">0.117&#x2a;</td>
<td align="left">(0.062)</td>
</tr>
<tr>
<td align="left">lnURB<sub>it</sub>
</td>
<td align="left">0.318&#x2a;&#x2a;</td>
<td align="left">(0.048)</td>
<td align="left">0.985&#x2a;&#x2a;&#x2a;</td>
<td align="left">(0.002)</td>
<td align="left">0.723&#x2a;</td>
<td align="left">(0.053)</td>
</tr>
<tr>
<td colspan="7" align="left">lnCC<sub>it</sub> &#x3d; f (lnGDP<sub>it</sub>, lnGDP2<sub>it</sub>, lnNREC<sub>it</sub>, lnREC<sub>it</sub>, lnURB<sub>it</sub>)</td>
</tr>
</tbody>
</table>
<table>
<thead>
<tr>
<td align="left"/>
<td colspan="2" align="left">MG</td>
<td colspan="2" align="left">AMG</td>
<td colspan="2" align="left">CCEMG</td>
</tr>
<tr>
<th align="left">Variables</th>
<th align="left">Coeff</th>
<th align="left">
<italic>p</italic>-value</th>
<th align="left">Coeff</th>
<th align="left">
<italic>p</italic>-value</th>
<th align="left">Coeff</th>
<th align="left">
<italic>p</italic>-value</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">InGDP<sub>it</sub>
</td>
<td align="left">0.647&#x2a;&#x2a;&#x2a;</td>
<td align="left">(0.003)</td>
<td align="left">0.628&#x2a;&#x2a;&#x2a;</td>
<td align="left">(0.000)</td>
<td align="left">0.318&#x2a;&#x2a;</td>
<td align="left">(0.032)</td>
</tr>
<tr>
<td align="left">InGDP2<sub>it</sub>
</td>
<td align="left">&#x2212;0.659&#x2a;&#x2a;&#x2a;</td>
<td align="left">(0.000)</td>
<td align="left">&#x2212;0.717&#x2a;&#x2a;</td>
<td align="left">(&#x2212;0.031)</td>
<td align="left">&#x2212;0.413&#x2a;&#x2a;&#x2a;</td>
<td align="left">(0.000)</td>
</tr>
<tr>
<td align="left">InNREC<sub>it</sub>
</td>
<td align="left">0.848&#x2a;&#x2a;&#x2a;</td>
<td align="left">(0.002)</td>
<td align="left">0.736&#x2a;&#x2a;&#x2a;</td>
<td align="left">(0.003)</td>
<td align="left">0.328&#x2a;&#x2a;&#x2a;</td>
<td align="left">(0.002)</td>
</tr>
<tr>
<td align="left">InREC<sub>it</sub>
</td>
<td align="left">&#x2212;0.284&#x2a;</td>
<td align="left">(&#x2212;0.064)</td>
<td align="left">&#x2212;0.821&#x2a;</td>
<td align="left">(&#x2212;0.051)</td>
<td align="left">&#x2212;0.812&#x2a;&#x2a;&#x2a;</td>
<td align="left">(-0.000)</td>
</tr>
<tr>
<td align="left">lnURB<sub>it</sub>
</td>
<td align="left">0.246&#x2a;&#x2a;</td>
<td align="left">(0.042)</td>
<td align="left">0.325&#x2a;&#x2a;</td>
<td align="left">(0.023)</td>
<td align="left">0.425&#x2a;&#x2a;</td>
<td align="left">(0.031)</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>
<bold>Note:</bold> &#x2a;, &#x2a;&#x2a;, &#x2a;&#x2a;&#x2a; represent statistical significance levels of 10%, 5%, and 1%, respectively.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>The results of the research analysis also show that the consumption of non-renewable energy has a significant positive impact on the average temperature. A 1% increase in non-renewable energy consumption can significantly stimulate climate change by 0.682. This finding is very consistent with the recent studies by <xref ref-type="bibr" rid="B8">Ali U et al. (2022)</xref>, <xref ref-type="bibr" rid="B61">Lei et al. (2022)</xref>, <xref ref-type="bibr" rid="B8">Ali U et al. (2022)</xref>, <xref ref-type="bibr" rid="B119">Vo and Vo (2022)</xref>, <xref ref-type="bibr" rid="B111">Udeagha and Ngepah (2022)</xref>, <xref ref-type="bibr" rid="B74">Mujtaba et al. (2022)</xref>, <xref ref-type="bibr" rid="B77">Nakhli et al. (2022)</xref>, <xref ref-type="bibr" rid="B54">Karaaslan and &#xc7;amkaya (2022)</xref>. Findings from emerging Asian countries indicate that the role of fossil fuels in energy consumption in these countries has risen significantly. The study revealed that the use of non-renewable energy sources in selected Asian countries is a major cause of environmental damage and climate change. It is undeniable that the main sources of fossil fuels are coal, oil and natural gas, resulting in massive carbon emissions. However, the growing reliance on oil and gas and the use of old biomass fuels impose enormous environmental constraints and may contribute to climate change.</p>
<p>The results also show that every 1% increase in GDP can significantly contribute 0.601% to climate change. This finding is consistent with <xref ref-type="bibr" rid="B104">Shobande (2022)</xref>, <xref ref-type="bibr" rid="B112">Ullah et al. (2022)</xref>, <xref ref-type="bibr" rid="B71">Menegaki et al. (2022)</xref>, <xref ref-type="bibr" rid="B41">Fitzgerald (2022)</xref>, <xref ref-type="bibr" rid="B6">Alestra et al. (2022)</xref>, <xref ref-type="bibr" rid="B33">Destek and Okumus (2017)</xref>, <xref ref-type="bibr" rid="B3">Acaro&#x11f;lu and G&#xfc;ll&#xfc; (2022)</xref>. The link between economic growth and climate change in emerging Asian countries suggests that the growth process in these countries is heavily polluting, leading to environmental degradation. This deforestation is the result of a confluence of many aspects; chiefly increased urbanization, steady growth in economic activity and rapid population growth. Likewise, for every 1% increase in transport infrastructure and urbanization, climate change increases significantly by 0.605% and 0.985%, respectively.</p>
<p>For every 1% increase in transport infrastructure and urbanization, climate change increases significantly by 0.605% and 0.685%, respectively. Urbanization enlarges energy demand in sectors such as housing, commercial floor space, transport, and goods and services, which in turn leads to increased energy consumption. Urbanization, which fast-tracks energy consumption, is also accelerating climate change, mainly in developing Asia, which is not yet in the same position as advanced economies to achieve low climate change through the adoption of new energy technologies.</p>
<p>Long-term variable elasticity coefficients based on the second model of climate change show that a 1% increase in GDP can stimulate climate change by 0.628%, while a 1% increase in GDP<sup>2</sup> can significantly reduce climate change by 0.717%, validating the inverted U-shaped EKC hypothesis in emerging Asian economies. <xref ref-type="bibr" rid="B68">Massagony and Budiono (2022)</xref> validated the EKC hypothesis for Indonesia; <xref ref-type="bibr" rid="B75">Murshed et al. (2022)</xref> validated the EKC for Bangladesh, India, Nepal, and Sri Lanka; <xref ref-type="bibr" rid="B42">Frodyma et al. (2022)</xref> updated the EKC hypothesis for EU countries, support to the validity of the EKC hypothesis 67 developed and developing countries.</p>
<p>
<xref ref-type="table" rid="T7">Table 7</xref> below reports country estimates of AMG strategies to see whether renewable and non-renewable energy consumption and GDP in selected emerging Asian countries (India, China, Bangladesh, Japan, and South Korea) show a heterogeneous climate change. The results of the analysis show that renewable energy consumption reduces climate change in selected emerging Asian countries. GDP contributes significantly to climate change in all countries. However, GDP<sup>2</sup> has significant adverse effects on climate change in India, China, Japan, and South Korea, validating the inverted U-shaped EKC hypothesis for all countries except Bangladesh. Likewise, both non-renewable energy consumption and investment in transport infrastructure have had significant progressive impacts on climate change in all countries. Urbanization contributes significantly to climate change, with the exception of Japan, which does not have any significant impact on climate change.</p>
<table-wrap id="T7" position="float">
<label>TABLE 7</label>
<caption>
<p>Country-specific analysis results using AMG estimates.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Country</th>
<th align="left">lnREC</th>
<th align="left">lnNREC</th>
<th align="left">lnGDP</th>
<th align="left">lnGDP<sup>2</sup>
</th>
<th align="left">lnTI</th>
<th align="left">lnURB</th>
<th align="left">
<italic>R</italic>
<sup>2</sup> adjusted <italic>R</italic>
<sup>2</sup>
</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">India</td>
<td align="left">&#x2212;0.898&#x2a;&#x2a;&#x2a; (&#x2212;0.001)</td>
<td align="left">0.618&#x2a;&#x2a;&#x2a; (0.002)</td>
<td align="left">0.606&#x2a;&#x2a;&#x2a; (0.001)</td>
<td align="left">&#x2212;0.391&#x2a;&#x2a;&#x2a; (-0.002)</td>
<td align="left">0.396&#x2a;&#x2a;&#x2a; (0.000)</td>
<td align="left">0.107&#x2a;&#x2a;&#x2a; (0.000)</td>
<td align="left">0.87 0.89</td>
</tr>
<tr>
<td align="left">China</td>
<td align="left">&#x2212;0.397&#x2a;&#x2a;&#x2a; (&#x2212;0.000)</td>
<td align="left">0.309&#x2a;&#x2a; (0.018)</td>
<td align="left">1.318&#x2a;&#x2a;&#x2a; (0.006)</td>
<td align="left">&#x2212;0.191&#x2a;&#x2a;&#x2a; (&#x2212;0.002)</td>
<td align="left">0.418&#x2a;&#x2a;&#x2a; (0.003)</td>
<td align="left">0.306&#x2a;&#x2a; (0.021)</td>
<td align="left">0.94 0.92</td>
</tr>
<tr>
<td align="left">Bangladesh</td>
<td align="left">&#x2212;0.292&#x2a; (&#x2212;0.072)</td>
<td align="left">0.818&#x2a;&#x2a;&#x2a; (0.002)</td>
<td align="left">0.692&#x2a;&#x2a;&#x2a; (0.007)</td>
<td align="left">0.519&#x2a; (0.062)</td>
<td align="left">0.297&#x2a; (0.062)</td>
<td align="left">0.283&#x2a;&#x2a;&#x2a; (0.000)</td>
<td align="left">0.97 0.95</td>
</tr>
<tr>
<td align="left">Japan</td>
<td align="left">&#x2212;0.508&#x2a;&#x2a;&#x2a; (&#x2212;0.001)</td>
<td align="left">0.918&#x2a;&#x2a; (0.028)</td>
<td align="left">0.518&#x2a;&#x2a;&#x2a; (0.005)</td>
<td align="left">&#x2212;0.783 (&#x2212;0.042)&#x2a;&#x2a;</td>
<td align="left">0.286&#x2a;&#x2a;&#x2a; (0.008)</td>
<td align="left">0.293 (0.254)</td>
<td align="left">0.99 0.97</td>
</tr>
<tr>
<td rowspan="2" align="left">South Korea</td>
<td align="left">&#x2212;0.318&#x2a;&#x2a;&#x2a;</td>
<td align="left">0.727&#x2a;&#x2a;</td>
<td align="left">0.513&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;0.408&#x2a;&#x2a;</td>
<td align="left">0.385&#x2a;&#x2a;&#x2a;</td>
<td align="left">0.278&#x2a;</td>
<td rowspan="2" align="left">0.99 0.97</td>
</tr>
<tr>
<td align="left">(&#x2212;0.006)</td>
<td align="left">(0.022)</td>
<td align="left">(0.001)</td>
<td align="left">(&#x2212;0.032)</td>
<td align="left">(0.002)</td>
<td align="left">(0.051)</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>
<bold>Note:</bold> &#x2a;, &#x2a;&#x2a;, &#x2a;&#x2a;&#x2a; represent statistical significance levels of 10%, 5%, and 1%, respectively.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>The next step is to use the <xref ref-type="bibr" rid="B38">Dumitrescu and Hurlin (2012)</xref> causality test, which takes into account panel heterogeneity, to examine pairwise causality between the variables of interest in the proposed model. The results of the pairwise causality between the variables reported in <xref ref-type="table" rid="T8">Table 8</xref> reflect a pairwise causal relationship between GDP and annual mean temperature. In addition, there are also bidirectional causal relationships between non-renewable energy consumption and annual average temperature, and between non-renewable energy consumption and GDP, supporting the feedback hypothesis. This result proposes that the growth process in selected emerging Asian countries is pollution-intensive. The results also show unidirectional causality from renewable energy consumption to annual average temperature, transport infrastructure to annual average temperature, GDP to non-renewable energy consumption, transport infrastructure to GDP, and GDP to urbanization.</p>
<table-wrap id="T8" position="float">
<label>TABLE 8</label>
<caption>
<p>Results of pairwise causal relationships between variables of interest in the proposed model using Dumitrescu and Hurlin causality test.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Direction of causality</th>
<th align="left">W-Stat</th>
<th align="left">Zbar-Stat</th>
<th align="left">Probability</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">lnREC &#x2192; lnCC</td>
<td align="left">2.992&#x2a;&#x2a;&#x2a;</td>
<td align="left">2.673&#x2a;&#x2a;&#x2a;</td>
<td align="left">0.00</td>
</tr>
<tr>
<td align="left">lnCC &#x2192; lnREC</td>
<td align="left">2.876</td>
<td align="left">2.682</td>
<td align="left">0.12</td>
</tr>
<tr>
<td align="left">lnNREC &#x2192; lnCC</td>
<td align="left">2.836&#x2a;&#x2a;</td>
<td align="left">1.869&#x2a;&#x2a;</td>
<td align="left">0.01</td>
</tr>
<tr>
<td align="left">lnCC &#x2192; lnNREC</td>
<td align="left">1.328&#x2a;&#x2a;&#x2a;</td>
<td align="left">2.471&#x2a;&#x2a;&#x2a;</td>
<td align="left">0.00</td>
</tr>
<tr>
<td align="left">lnGDP &#x2192; lnCC</td>
<td align="left">2.521&#x2a;&#x2a;&#x2a;</td>
<td align="left">1.507&#x2a;&#x2a;&#x2a;</td>
<td align="left">0.00</td>
</tr>
<tr>
<td align="left">lnCC &#x2192; lnGDP</td>
<td align="left">1.018&#x2a;&#x2a;&#x2a;</td>
<td align="left">4.508&#x2a;&#x2a;</td>
<td align="left">0.03</td>
</tr>
<tr>
<td align="left">lnTI &#x2192; lnCC</td>
<td align="left">2.616&#x2a;&#x2a;&#x2a;</td>
<td align="left">1.618&#x2a;&#x2a;&#x2a;</td>
<td align="left">0.01</td>
</tr>
<tr>
<td align="left">lnCC &#x2192; lnTI</td>
<td align="left">3.317</td>
<td align="left">1.439</td>
<td align="left">0.23</td>
</tr>
<tr>
<td align="left">lnURB &#x2192; lnCC</td>
<td align="left">1.831&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;1.681&#x2a;&#x2a;&#x2a;</td>
<td align="left">0.00</td>
</tr>
<tr>
<td align="left">lnCC &#x2192; lnURB</td>
<td align="left">3.018</td>
<td align="left">2.482</td>
<td align="left">0.42</td>
</tr>
<tr>
<td align="left">lnREC &#x2192; lnGDP</td>
<td align="left">1.816</td>
<td align="left">2.119</td>
<td align="left">0.37</td>
</tr>
<tr>
<td align="left">lnGDP &#x2192; lnREC</td>
<td align="left">2.827</td>
<td align="left">1.793</td>
<td align="left">0.28</td>
</tr>
<tr>
<td align="left">lnNREC &#x2192; lnGDP</td>
<td align="left">1.831&#x2a;&#x2a;</td>
<td align="left">1.881&#x2a;&#x2a;</td>
<td align="left">0.02</td>
</tr>
<tr>
<td align="left">lnGDP &#x2192; lnNREC</td>
<td align="left">2.271&#x2a;&#x2a;&#x2a;</td>
<td align="left">2.107&#x2a;&#x2a;&#x2a;</td>
<td align="left">0.00</td>
</tr>
<tr>
<td align="left">lnTI &#x2192; lnGDP</td>
<td align="left">1.092&#x2a;&#x2a;</td>
<td align="left">3.163&#x2a;&#x2a;</td>
<td align="left">0.02</td>
</tr>
<tr>
<td align="left">lnGDP &#x2192; lnTI</td>
<td align="left">2.732</td>
<td align="left">1.882</td>
<td align="left">0.72</td>
</tr>
<tr>
<td align="left">lnURB &#x2192; lnGDP</td>
<td align="left">3.782</td>
<td align="left">1.893</td>
<td align="left">0.53</td>
</tr>
<tr>
<td align="left">lnGDP &#x2192; lnURB</td>
<td align="left">1.032&#x2a;&#x2a;&#x2a;</td>
<td align="left">1.819&#x2a;&#x2a;&#x2a;</td>
<td align="left">0.00</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>
<bold>Note:</bold> &#x2a;, &#x2a;&#x2a;, &#x2a;&#x2a;&#x2a; represent statistical significance levels of 10%, 5%, and 1%, respectively.</p>
</fn>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="s5">
<title>5 Concluding remarks and policy implications</title>
<p>The current study aims to examine the effects of renewable and non-renewable energy consumption and economic growth on climate change in five emerging Asian countries during the period 1975&#x2013;2020. First, the panel second-generation unit root test results clearly show that the entire variables in the models transform into a stationary state at the first derivative, which allows us to use panel long term cointegration and long term elasticity estimates. Second, the Pedroni cointegration test and the Westerlund cointegration test confirmed long-term cointegration among variables. The long-term estimated parameters of the Augmented Average Group (AMG) method show that renewable energy consumption significantly reduces the mean annual temperature, while non-renewable energy consumption, transport infrastructure investment, GDP, and urbanization contribute significantly to climate change. Long-term variable elasticity coefficients results based on the second model of climate change show that an increase in GDP can stimulate climate change, while an increase in GDP<sup>2</sup> can significantly reduce climate change, thus validating the inverted U-shaped EKC hypothesis for emerging Asian economies.</p>
<p>Results of country-specific analyzes using AMG estimates show that renewable energy consumption reduces climate change, while non-renewable energy consumption, transport infrastructure investment, and GDP contribute to climate change in selected emerging Asian countries. However, GDP<sup>2</sup> has significant adverse effects on climate change in India, China, Japan, and South Korea, validating the inverted U-shaped EKC hypothesis for all countries except Bangladesh. Urbanization contributes significantly to climate change, with the exception of Japan, which does not have any significant impact on climate change.</p>
<p>Finally, the results of the <xref ref-type="bibr" rid="B38">Dumitrescu and Hurlin (2012)</xref> causality tests report pairwise causality between GDP and mean annual temperature, non-renewable energy consumption and mean annual temperature, and non-renewable energy consumption and GDP, supporting the feedback hypothesis. The results also show unidirectional causality from renewable energy consumption to annual average temperature, transport infrastructure to annual average temperature, GDP to non-renewable energy consumption, transport infrastructure to GDP, and GDP to urbanization.</p>
<p>Specific and important policy implications emerge from the above results. Reducing energy use and pollutant emissions can mitigate climate change, and this will likely be combined with urbanization if governments in these countries take the following steps. 1) Encourage renewable energy expansion plans and promote renewable energy production and distribution infrastructure. 2) Promote the construction of industrial bases with high energy efficiency and emission reduction. 3) Establish a free trade system for clean technology transfer from developed countries. 4) Stimulate urbanization through low-carbon urban infrastructure and transport systems to reduce climate change and promote sustainable growth in these emerging Asian economies.</p>
<p>The model used in this study can be extended to a wider scope by increasing the sample size and the number of Asian emerging economies for future research. Furthermore, the validity of the N-shaped EKC hypothesis could also be tested in future studies on the proposed emerging Asian countries. This study tested urbanization as the main driver of energy use and carbon emissions leading to climate change, and likewise, another study would need to test transport infrastructure investment as the main driver of energy consumption and thus climate change.</p>
</sec>
</body>
<back>
<sec sec-type="data-availability" id="s6">
<title>Data availability statement</title>
<p>The datasets presented in this study can be found in online repositories. The names of the repository/repositories and accession number(s) can be found below: <ext-link ext-link-type="uri" xlink:href="https://databank.worldbank.org/source/world-development-indicators">https://databank.worldbank.org/source/world-development-indicators</ext-link>.</p>
</sec>
<sec id="s7">
<title>Author contributions</title>
<p>J.Z. (Zhao), T.Z. (Zhang), J.C. (Chen), H.J. (Ji) and T.W. (Wang) conceptualized and revised the study, software data curation, analysis and final approval for publication.</p>
</sec>
<ack>
<p>We are grateful for the list of new authors who collaborated during the course of this study.</p>
</ack>
<sec sec-type="COI-statement" id="s8">
<title>Conflict of interest</title>
<p>The author declares 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="s9">
<title>Publisher&#x2019;s note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
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<title>Appendix:</title>
<table-wrap id="TA1" position="float">
<label>TABLE A1</label>
<caption>
<p>Variable data sources, measurements and descriptions.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Variables</th>
<th align="left">Description</th>
<th align="left">Measurment</th>
<th align="left">Sources</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">CC</td>
<td align="left">Climate Change</td>
<td align="left">Average annual temperature</td>
<td align="left">National Oceanic and Atmospheric Administration (NOAA)</td>
</tr>
<tr>
<td align="left">GDP</td>
<td align="left">Gross Donestic Product</td>
<td align="left">Constant 2015 US$</td>
<td align="left">WDI, World Bank</td>
</tr>
<tr>
<td align="left">TIN</td>
<td align="left">Transport infrastructure investment</td>
<td align="left">Constant 2015 US$</td>
<td align="left">OECD database</td>
</tr>
<tr>
<td align="left">URB</td>
<td align="left">Urbanization</td>
<td align="left">Percentage of total population</td>
<td align="left">WDI, World Bank</td>
</tr>
<tr>
<td align="left">REC</td>
<td align="left">Renewable energy consumption</td>
<td align="left">Million tons of oil equivalent (Mtoe)</td>
<td align="left">WDI, World Bank</td>
</tr>
<tr>
<td align="left">NREC</td>
<td align="left">Non-renewable energy consumption</td>
<td align="left">Million tons of oil equivalent (Mtoe)</td>
<td align="left">WDI, World Bank</td>
</tr>
</tbody>
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