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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">862714</article-id>
<article-id pub-id-type="doi">10.3389/fenvs.2022.862714</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>Optimized Variables for Environmental Dynamics: China&#x2019;s Renewable Energy Policy</article-title>
<alt-title alt-title-type="left-running-head">Wang et al.</alt-title>
<alt-title alt-title-type="right-running-head">Environmental Dynamics and Renewable Energy Policy</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Wang</surname>
<given-names>Yujing</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1462083/overview"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>You</surname>
<given-names>Yanqun</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Teng</surname>
<given-names>Yu</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1162132/overview"/>
</contrib>
</contrib-group>
<aff id="aff1">
<sup>1</sup>
<institution>School of Economics</institution>, <institution>Tianjin University of Commerce</institution>, <addr-line>Tianjin</addr-line>, <country>China</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>Business School</institution>, <institution>University of Portsmouth</institution>, <addr-line>Portsmouth</addr-line>, <country>United Kingdom</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/1104675">Ehsan Elahi</ext-link>, Shandong University of Technology, China</p>
</fn>
<fn fn-type="edited-by">
<p>
<bold>Reviewed by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1065232">Festus Victor Bekun</ext-link>, Geli&#x15f;im &#xdc;niversitesi, Turkey</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1428477">Salih Katircioglu</ext-link>, Eastern Mediterranean University, Turkey</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1059782">Andrew Adewale Alola</ext-link>, Istanbul University, Turkey</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Yujing Wang, <email>wyj714ivy@126.com</email>; Yanqun You, <email>youyanqun112233@163.com</email>, Yu Teng, <email>yu.teng@myport.ac.uk</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>14</day>
<month>04</month>
<year>2022</year>
</pub-date>
<pub-date pub-type="collection">
<year>2022</year>
</pub-date>
<volume>10</volume>
<elocation-id>862714</elocation-id>
<history>
<date date-type="received">
<day>26</day>
<month>01</month>
<year>2022</year>
</date>
<date date-type="accepted">
<day>08</day>
<month>03</month>
<year>2022</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2022 Wang, You and Teng.</copyright-statement>
<copyright-year>2022</copyright-year>
<copyright-holder>Wang, You and Teng</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>The purpose of this study is to determine the impacts of foreign direct investment (FDI), renewable energy (RE), energy consumption index (ECI), Globalization (GLO), and green technology innovation (GTI) on environmental pollution using a time series data from 1980 to 2019, using DARDL assessor to look at how markers with high levels of petroleum derivatives distorted the explanatory variable in China. The results showed that GTI contaminated environmental sustainability (ES). The polluted safe house notion claimed that FDI has a negative impact on the country&#x2019;s inherent character. Finally, people are waking up to the importance of ES. Single-headed causalities from GTI to carbon emissions were detected in the middle of the other causes and fossil fuel byproducts need to change into green energy resources to reduce environmental pollution. Finally, the research proved that FDI is a major source of environmental pollution in China. According to the findings of the DARDL research, foreign direct investment and urbanization, green technological innovations, and China&#x2019;s environmental pollution policy direction are all congruent with each other.</p>
</abstract>
<kwd-group>
<kwd>CO2 emissions</kwd>
<kwd>renewable energy</kwd>
<kwd>international trade</kwd>
<kwd>dynamic model</kwd>
<kwd>longrun estimators</kwd>
</kwd-group>
</article-meta>
</front>
<body>
<sec id="s1">
<title>1 Introduction</title>
<p>Governments across the world are always concerned about environmental issues, which are related to financial activities and the increased usage of energy (<xref ref-type="bibr" rid="B41">Mardani et al., 2018</xref>; <xref ref-type="bibr" rid="B60">Sun et al., 2021</xref>). CO<sub>2</sub> emissions and sulfur dioxide (SO<sub>2</sub>) are the greatest threat to human civilization and financial development, and increased energy consumption contributes to higher CO<sub>2</sub> emissions over the long and short term (<xref ref-type="bibr" rid="B40">Mahmood et al., 2020</xref>). CO<sub>2</sub> emissions, financial development, and energy consumption are the primary causes of climate change; studies on state-run administrations (<xref ref-type="bibr" rid="B41">Mardani et al., 2018</xref>; <xref ref-type="bibr" rid="B23">Elahi et al., 2021</xref>; <xref ref-type="bibr" rid="B24">Elahi et al., 2022a</xref>; <xref ref-type="bibr" rid="B25">Elahi et al., 2022b</xref>) that were adjusted for urbanization, FDI, and energy consumption strategies also have a significant impact on CO<sub>2</sub> emissions, and the connection is positive to the use of energy. However, there may be a few levels of causation among the elements that have been connected for a long time (Li et al., 2020). <xref ref-type="bibr" rid="B20">Dumitrescu and Hurlin. (2012)</xref> board causality test is robust in the face of cross-sectional correlations and slant variability, and has argued that energy finance is the driving force of financial development. He et al. (2021) has confirmed that energy use and financial development may all predict the frequency of fossil fuel byproduct usage and CO<sub>2</sub> emissions as an intermediate of environmental degradation. CO<sub>2</sub> emissions are affected by the global storage network that contributes to the generation of emissions (<xref ref-type="bibr" rid="B59">Shahbaz et al., 2013</xref>). The investment policies of the government of the examined countries, especially those that are tailored toward renewable energy, should cover more sectors of the economy. <xref ref-type="bibr" rid="B59">Shahbaz et al. (2013)</xref> showed that energy utilization and financial development produce CO<sub>2</sub> emissions in oil-rich economies. <xref ref-type="bibr" rid="B63">Xu et al. (2018)</xref> used ARDL model with a vector error correction model (VECM) and found a substantial positive association and bidirectional causation between Saudi Arabia&#x2019;s currency turn of events and CO<sub>2</sub> emissions. The purpose of this study is to determine the impacts of green technology innovation, globalization, foreign direct investment, and energy consumption on environmental sustainability in China, as these issues are major causes to increase or decrease environmental pollution. The research gives a road map to future researchers to collect more information about the problems of air, water, and soil pollution and climate change in China.</p>
<p>Including the presentation, this work is divided into five sections that are all connected in the following way. <xref ref-type="sec" rid="s2">Section 2</xref> provides a brief review of the literature review. <xref ref-type="sec" rid="s3">Section 3</xref> provides methods, data collection techniques, and econometrical equations. <xref ref-type="sec" rid="s4">Section 4</xref> explains the results and discusses the relationship between CO<sub>2</sub> emissions, energy consumptions, and GDP, as well as the unit root and board cointegration tests. The conclusions and recommendations are described along with future research directions in <xref ref-type="sec" rid="s5">Section 5</xref>.</p>
</sec>
<sec id="s2">
<title>2 Literature Review</title>
<p>According to Inglesi (2018), sustainable and non-sustainable power sources were evaluated in the analysis of fossil fuel waste in Sub-Saharan African states. Over the same period, global energy consumption is forecast to rise by 80%, while ozone-depleting chemical transmissions are expected to increase by 50%. According to <xref ref-type="bibr" rid="B26">Erdogan et al. (2020)</xref>, a country&#x2019;s financial development consumes a great deal of energy and leads to greater natural corruption. According to <xref ref-type="bibr" rid="B41">Mardani et al. (2018)</xref>, countries&#x2019; use of energy and financial development foreshadowed their emissions of carbon dioxide into the atmosphere; the G20 countries&#x2019; share of global CO<sub>2</sub> emissions in 2017 was 91%, which is consistent with previous estimates. Natural Kuznets bend (EKC) between financial development and CO<sub>2</sub> emissions was permitted (<xref ref-type="bibr" rid="B62">Xu et al., 2020</xref>). The main policy implication is that energy conservation strategies will be detrimental to China&#x2019;s economy both in the short run and long run and that energy consumption contributes significantly to environmental degradation through a negative impact on ecological footprint. According to <xref ref-type="bibr" rid="B61">Waheed et al. (2019)</xref>, fossil fuel byproducts were not connected to financial development in developed nations. In developed countries, increased use of energy was seen as a major culprit in the production of large levels of fossil fuel waste. <xref ref-type="bibr" rid="B13">Awodumi and Adewuyi. (2020)</xref> found an unbalanced influence of non-sustainable power utilization on financial growth and fossil fuel byproduct per capita. The Chinese government should switch production activities and energy sources available for consumption from non-renewable production/consumption technologies to renewable and energy-saving technologies (<xref ref-type="bibr" rid="B58">Seyi et al., 2020</xref>). As predicted by <xref ref-type="bibr" rid="B48">O&#x27;Ryan et al. (2020)</xref>, the transmission of emissions in Chile may differ if non-sustainable electricity is taken into account. <xref ref-type="bibr" rid="B51">Pata (2018)</xref> found that the use of sustainable electricity in the country had no impact on carbon emissions. Using biomass as a source of energy, <xref ref-type="bibr" rid="B3">Adewuyi and Awodumi. (2017a)</xref> examined the positive connections between financial developments and the use of fossil fuel wastes. Economic growth exerts a positive and statistically significant impact on the ecological footprint. The peaked pressure on the country&#x2019;s ecological composite is largely attributed to economic expansion. According to <xref ref-type="bibr" rid="B55">Samour et al. (2019)</xref>, improvements in the Turkish financial sector led to an increase in energy consumption, which in turn resulted in high CO<sub>2</sub> emissions in the country. A new variable, financial development, was included in the model by <xref ref-type="bibr" rid="B47">Nkengfack and Kaffo, 2019</xref> to account for its effect on CO2 emissions, and G20 economies together account for almost three-quarters of global oil consumption. Energy use was identified as a significant contributor to CO<sub>2</sub> emissions. According to <xref ref-type="bibr" rid="B17">Cole and Neumayer, 2004</xref> increased demand for private and non-private energy also increases pollution. <xref ref-type="bibr" rid="B5">Ahmed et al., 2019</xref> discovered that the influence of urbanization on CO<sub>2</sub> emissions was incorporated, and FDI inflows are connected to soiled technologies that increase the rate of CO<sub>2</sub> emissions in developed countries. <xref ref-type="bibr" rid="B19">Dou and Han, 2019</xref>; <xref ref-type="bibr" rid="B35">Jun et al., 2018</xref> discovered that the CO<sub>2</sub> emissions are also reduced by FDI inflows, which are connected to energy-efficient developments. <xref ref-type="bibr" rid="B43">Mert et al. (2019)</xref> demonstrated that CO<sub>2</sub> emissions were influenced by an unknown direct venture, and that economic growth in G20 countries was cited as a major driver of CO<sub>2</sub> emissions. According to <xref ref-type="bibr" rid="B38">Karasoy, (2019)</xref>, nations that are heavily reliant on the use of dirty energy have higher CO<sub>2</sub> emissions and any effort to reduce CO<sub>2</sub> emissions will slow down the countries&#x2019; economic growth. Similarly, a two-sided relationship between energy use and CO2 emissions was discovered (<xref ref-type="bibr" rid="B16">Chen et al., 2019</xref>). The fossil-fuel-based energy also contributes to harming the environment. Furthermore, the bloc shows that the institutional level is still not sufficient to spur the creation of a clean environment (<xref ref-type="bibr" rid="B28">Festus et al., 2021a</xref>). This demonstrates that the use of energy often increases the radiation of CO<sub>2</sub> in the countries connected to environmentally hostile developments that flood the nations&#x2019; emission rates. Zhang (2011) described that earth-wide warming, the liquefying of Antarctica, and the increasing ocean levels decreased water accessibility. Strict environmental guidelines and regulations are necessary to control the unhealthy and undue economic activities that are suspected to impact negatively on the environment. Emission targets are worth implementing in industrial areas to reduce emissions from urban areas (<xref ref-type="bibr" rid="B29">Festus et al., 2021b</xref>). An increase in disease and the termination of wild and sea-going animals are some of the complicated challenges for China (Wang et al., 2021). Fossil fuel byproducts have been criticized due to the carbon leakage difficulties in exchange development (Su, 2014). According to Brizga, (2017) a general rise in salary is often assumed to lead to an increase in consumption, which is widely thought to be the primary driver of asset usage and environmental degradation. Various scholars have examined the possibility of mechanical development as a means of preventing emissions (Lee, 2015). Capacity innovation and carbon capture are elements of mechanical development, which can handle CO<sub>2</sub> emissions (Huaman, 2014). When it comes to pollution management, one strategy that has gained widespread recognition is the use of limitless sources of energy (Chiu, 2009; Gessinger, 1997). Petroleum product energy has been shown and demonstrated to increase fossil fuel byproducts. Some researchers have focused on the task of extending utilizations of fossil fuel byproducts&#x2019; incitement (<xref ref-type="bibr" rid="B1">Adebayo and Kirikkaleli, 2021</xref>). An inverted U-shaped pattern between energy use and economic growth in the long run showed that at a higher level of economic development there is less intensification of energy consumption (<xref ref-type="bibr" rid="B27">Festus et al., 2019</xref>). In addition, the consumers of labor and products get emissions in the form of payments (Afionis et al., 2017). According to the findings of Hasanov et al. (2018), imports and commodities have both increased and decreased over time. According to Sheau, (2014), CO<sub>2</sub> emissions were increased in six regions when imports and consumption, the study found that both energy and financial advancements reduce fossil fuel by products. Mensah et al. (2018) further demonstrated that mechanical advances and sustainable power regulate fossil fuel byproducts. The focus of <xref ref-type="bibr" rid="B59">Shahbaz et al. (2013)</xref> was on France&#x2019;s financial and energy advancements. OECD countries were examined in terms of energy development by lvarez et al. (2017), who found that development in energy development regulates CO<sub>2</sub> emissions. According to Bhattacharya et al. (2020), the likelihood of joining a low-fossil-fuel byproducts force club rises with increases in absolute component usefulness, environmentally green technology innovation, and urbanization. As Khan et al. (2020) reported, goods derived from fossil fuel byproducts have negative long- and short-term environmental impacts. Khan et al. (2020b) found that imports and payments improve utilization-based byproducts of fossil fuels over the long term, whereas trade, natural development, and environmentally beneficial power consumption reduce CO<sub>2</sub> emissions of utilization. Knight and Schor (2014) found that financial development has a favorable influence on emissions based on use and an increase in sustainable electricity helps alleviate environmental degradation. <xref ref-type="bibr" rid="B44">Moghadam and Dehbashi. (2018)</xref> used the ARDL model to examine the issue, and the results demonstrate that increasing the value of the Iranian energy consumption increases the country&#x2019;s CO<sub>2</sub> emissions. Analysis of positive and negative shocks in financial development in China using the NARDL approach by <xref ref-type="bibr" rid="B4">Ahmad et al. (2018)</xref> found that positive shocks had a greater influence on CO<sub>2</sub> emissions over the long term than negative shocks from financial events. NARDL results reveal that the short-term and long-term unequal effect of financial improvement on CO<sub>2</sub> emissions is insignificant (<xref ref-type="bibr" rid="B37">Karasoy and Akc&#xb8;ay, 2019</xref>). The findings of <xref ref-type="bibr" rid="B32">Ibrahiem (2020)</xref> suggest that financial improvement boosts CO<sub>2</sub> emissions in the economy, as a result of the increased demand for money. <xref ref-type="bibr" rid="B49">Ozturk et al. (2016)</xref> using the ARDL and NARDL models, showed that transport energy utilizations and CO2 emissions have a positive relationship. ARDL simulations are used by <xref ref-type="bibr" rid="B56">Sarkodie et al. (2020)</xref> to study the environmental impact of fossil fuel waste and EF in China, while the usage of petroleum derivatives are studied as a source of energy that affects both of these natural indicators. Nonlinear ARDL was used by <xref ref-type="bibr" rid="B15">Baz et al. (2020)</xref> to investigate the relationship between energy use, financial development, and climate change.</p>
</sec>
<sec id="s3">
<title>3 Research Methodology</title>
<sec id="s3-1">
<title>3.1 Data Collection Procedure</title>
<p>Data on 525 firms&#x2019; measurable information connected with foreign direct investment (FDI), renewal energy (RE), energy consumption index (ECI), Globalization (GLO) Globalization, and green technology innovation (GTI) was gathered from Shanghai Stock exchange, China Factual Yearbook, China Securities exchange, and Bookkeeping Exploration (CSMAR) Data sets from 1980 to 2019. The data collected from these websites is time series data, which is more suitable for analysis. The information connected with natural supportable (NS), Fossil fuel byproducts (CO<sub>2</sub>), Green Technology innovation (GTI), and energy sources is gathered from China Measurable Yearbook on Climate, China Factual Yearbook on Science and Innovation, and China Energy Measurable Yearbook.</p>
</sec>
<sec id="s3-2">
<title>3.2 Econometric Descriptions</title>
<p>China&#x2019;s carbon-serious exercises are a significant contributor to this scourge. As far as anyone is concerned, there has been no review that explicitly inspected the connection between financial development (FD) and ecological sustainability (ES) in China, despite the various investigations on ES in the country. Along these lines, an examination concerning the connection among FA and ES was considered significant to concoct proposals for working on natural quality in the country. Here is a capacity that was introduced to accomplish that objective:<disp-formula id="e1">
<mml:math id="m1">
<mml:mrow>
<mml:mi>C</mml:mi>
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</mml:math>
<label>(1)</label>
</disp-formula>
</p>
<p>The equation in a linear form is:<disp-formula id="e2">
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</mml:mrow>
</mml:math>
<label>(2)</label>
</disp-formula>
</p>
<p>In <xref ref-type="disp-formula" rid="e2">Condition 2</xref>, &#x3b2;1, &#x3b2;2, &#x3b2;3, &#x3b2;4, and &#x3b2;5 are the boundaries of FDI, GLO, ECI, GTI, and ES individually, while t represents the concentration on the country. Additionally, a0 is the steady term, while &#x3bc;<sub>t</sub> addresses the stochastic blunder term; normal logarithm was taken on the two sides of <xref ref-type="disp-formula" rid="e2">Condition 2</xref> bringing about the following particular:<disp-formula id="e3">
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<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mi mathvariant="normal">&#x3b1;</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3b2;</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
<mml:mi mathvariant="italic">ln</mml:mi>
<mml:mi mathvariant="normal">F</mml:mi>
<mml:mi mathvariant="normal">D</mml:mi>
<mml:msub>
<mml:mi mathvariant="normal">I</mml:mi>
<mml:mi mathvariant="normal">t</mml:mi>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3b2;</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:mi mathvariant="italic">ln</mml:mi>
<mml:mi mathvariant="normal">G</mml:mi>
<mml:mi mathvariant="normal">L</mml:mi>
<mml:msub>
<mml:mi mathvariant="normal">O</mml:mi>
<mml:mi mathvariant="normal">t</mml:mi>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3b2;</mml:mi>
<mml:mn>3</mml:mn>
</mml:msub>
<mml:mi mathvariant="italic">ln</mml:mi>
<mml:mi mathvariant="normal">E</mml:mi>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:msub>
<mml:mi mathvariant="normal">I</mml:mi>
<mml:mi mathvariant="normal">t</mml:mi>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3b2;</mml:mi>
<mml:mn>4</mml:mn>
</mml:msub>
<mml:mi mathvariant="italic">ln</mml:mi>
<mml:mi mathvariant="normal">G</mml:mi>
<mml:mi mathvariant="normal">T</mml:mi>
<mml:msub>
<mml:mi mathvariant="normal">I</mml:mi>
<mml:mi mathvariant="normal">t</mml:mi>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3b2;</mml:mi>
<mml:mn>5</mml:mn>
</mml:msub>
<mml:mi mathvariant="italic">ln</mml:mi>
<mml:mi mathvariant="normal">E</mml:mi>
<mml:msub>
<mml:mi mathvariant="normal">S</mml:mi>
<mml:mi mathvariant="normal">t</mml:mi>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3bc;</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
<label>(3)</label>
</disp-formula>where <italic>lnCO</italic>
<sub>2</sub>, <italic>ln</italic>FDI, <italic>ln</italic>GLO, <italic>ln</italic>ECI, <italic>ln</italic>GTI, and <italic>ln</italic>ES are the log conversions of the output and the input variables correspondingly.</p>
</sec>
<sec id="s3-3">
<title>3.3 Econometric Metaphors</title>
<p>ARDL bound test followed by the Johansen test were directed to evaluate the co-joining credits of the series. The reconciliation request of the series was done by means of the DF-GLS, PP, ADF, and the KPSS unit root tests. Following the example of <xref ref-type="bibr" rid="B52">Pesaran. (2006)</xref>, the model produced for the bound test was indicated as; &#x3a6;<disp-formula id="e4">
<mml:math id="m4">
<mml:mrow>
<mml:mi mathvariant="normal">&#x394;</mml:mi>
<mml:msub>
<mml:mrow>
<mml:mtext>LNCO</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
<mml:mtext>t</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:msub>
<mml:mrow>
<mml:mo>&#x3d;</mml:mo>
<mml:mtext>&#x3a6;</mml:mtext>
</mml:mrow>
<mml:mn>0</mml:mn>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mtext>&#x3a6;</mml:mtext>
<mml:mn>1</mml:mn>
</mml:msub>
<mml:msub>
<mml:mrow>
<mml:mtext>CO</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
<mml:mtext>t</mml:mtext>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mtext>&#x3a6;</mml:mtext>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:msub>
<mml:mrow>
<mml:mtext>LNFDI</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mtext>t</mml:mtext>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mtext>&#x3a6;</mml:mtext>
<mml:mn>3</mml:mn>
</mml:msub>
<mml:msub>
<mml:mrow>
<mml:mtext>LNGLO</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mtext>t</mml:mtext>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mtext>&#x3a6;</mml:mtext>
<mml:mn>4</mml:mn>
</mml:msub>
<mml:msub>
<mml:mrow>
<mml:mtext>LNECI</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mtext>t</mml:mtext>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mtext>&#x3a6;</mml:mtext>
<mml:mn>5</mml:mn>
</mml:msub>
<mml:msub>
<mml:mrow>
<mml:mtext>LNGTI</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mtext>t</mml:mtext>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mtext>&#x3a6;</mml:mtext>
<mml:mn>6</mml:mn>
</mml:msub>
<mml:msub>
<mml:mrow>
<mml:mtext>LNES</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mtext>t</mml:mtext>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:munderover>
<mml:mstyle displaystyle="true">
<mml:mo>&#x2211;</mml:mo>
</mml:mstyle>
<mml:mrow>
<mml:mtext>i</mml:mtext>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mtext>q</mml:mtext>
</mml:munderover>
<mml:msub>
<mml:mtext>&#x3b2;</mml:mtext>
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mtext>i</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mi mathvariant="normal">&#x394;</mml:mi>
<mml:mtext>C</mml:mtext>
<mml:msub>
<mml:mn>0</mml:mn>
<mml:mrow>
<mml:mn>2</mml:mn>
<mml:mtext>t</mml:mtext>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:munderover>
<mml:mstyle displaystyle="true">
<mml:mo>&#x2211;</mml:mo>
</mml:mstyle>
<mml:mrow>
<mml:mtext>i</mml:mtext>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mtext>p</mml:mtext>
</mml:munderover>
<mml:msub>
<mml:mtext>&#x3b2;</mml:mtext>
<mml:mrow>
<mml:mn>2</mml:mn>
<mml:mtext>i</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mi mathvariant="normal">&#x394;</mml:mi>
<mml:msub>
<mml:mrow>
<mml:mtext>FDI</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mtext>t</mml:mtext>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:munderover>
<mml:mstyle displaystyle="true">
<mml:mo>&#x2211;</mml:mo>
</mml:mstyle>
<mml:mrow>
<mml:mtext>i</mml:mtext>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mtext>p</mml:mtext>
</mml:munderover>
<mml:msub>
<mml:mtext>&#x3b2;</mml:mtext>
<mml:mrow>
<mml:mn>3</mml:mn>
<mml:mtext>i</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mi mathvariant="normal">&#x394;</mml:mi>
<mml:msub>
<mml:mrow>
<mml:mtext>GLO</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mtext>t</mml:mtext>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:munderover>
<mml:mstyle displaystyle="true">
<mml:mo>&#x2211;</mml:mo>
</mml:mstyle>
<mml:mrow>
<mml:mtext>i</mml:mtext>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mtext>q</mml:mtext>
</mml:munderover>
<mml:msub>
<mml:mtext>&#x3b2;</mml:mtext>
<mml:mrow>
<mml:mn>4</mml:mn>
<mml:mtext>i</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mi mathvariant="normal">&#x394;</mml:mi>
<mml:msub>
<mml:mrow>
<mml:mtext>FD</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mtext>t</mml:mtext>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:munderover>
<mml:mstyle displaystyle="true">
<mml:mo>&#x2211;</mml:mo>
</mml:mstyle>
<mml:mrow>
<mml:mtext>i</mml:mtext>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mtext>q</mml:mtext>
</mml:munderover>
<mml:msub>
<mml:mtext>&#x3b2;</mml:mtext>
<mml:mrow>
<mml:mn>5</mml:mn>
<mml:mtext>i</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mi mathvariant="normal">&#x394;</mml:mi>
<mml:msub>
<mml:mrow>
<mml:mtext>GI</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mtext>t</mml:mtext>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:munderover>
<mml:mstyle displaystyle="true">
<mml:mo>&#x2211;</mml:mo>
</mml:mstyle>
<mml:mrow>
<mml:mtext>i</mml:mtext>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mtext>q</mml:mtext>
</mml:munderover>
<mml:msub>
<mml:mtext>&#x3b2;</mml:mtext>
<mml:mrow>
<mml:mn>6</mml:mn>
<mml:mtext>i</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mi mathvariant="normal">&#x394;</mml:mi>
<mml:msub>
<mml:mrow>
<mml:mtext>ES</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mtext>t</mml:mtext>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mtext>&#x3bc;</mml:mtext>
<mml:mtext>t</mml:mtext>
</mml:msub>
</mml:mrow>
</mml:math>
<label>(4)</label>
</disp-formula>where &#x3a6;<sub>0</sub> is the catch and &#x2206; means the change administrator. Additionally, t&#x2212;1 represents the slacks chose in light of the AIC, while the boundaries to be assessed are addressed by &#x3a6; and &#x3b2;. Under the bond test, the invalid and the elective speculation are communicated as:<disp-formula id="e5">
<mml:math id="m5">
<mml:mrow>
<mml:msub>
<mml:mi>H</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
<mml:mo>:</mml:mo>
<mml:msub>
<mml:mi mathvariant="normal">&#x3a6;</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
<mml:mi>i</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi mathvariant="normal">&#x3a6;</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:mi>i</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi mathvariant="normal">&#x3a6;</mml:mi>
<mml:mn>3</mml:mn>
</mml:msub>
<mml:mi>i</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi mathvariant="normal">&#x3a6;</mml:mi>
<mml:mn>4</mml:mn>
</mml:msub>
<mml:mi>i</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi mathvariant="normal">&#x3a6;</mml:mi>
<mml:mn>5</mml:mn>
</mml:msub>
<mml:mi>i</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi mathvariant="normal">&#x3a6;</mml:mi>
<mml:mn>6</mml:mn>
</mml:msub>
<mml:mi>i</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>0</mml:mn>
</mml:mrow>
</mml:math>
<label>(5)</label>
</disp-formula>
<disp-formula id="e6">
<mml:math id="m6">
<mml:mrow>
<mml:msub>
<mml:mi>H</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
<mml:mo>:</mml:mo>
<mml:msub>
<mml:mi mathvariant="normal">&#x3a6;</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
<mml:mi>i</mml:mi>
<mml:mo>&#x2260;</mml:mo>
<mml:msub>
<mml:mi mathvariant="normal">&#x3a6;</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:mi>i</mml:mi>
<mml:mo>&#x2260;</mml:mo>
<mml:msub>
<mml:mi mathvariant="normal">&#x3a6;</mml:mi>
<mml:mn>3</mml:mn>
</mml:msub>
<mml:mi>i</mml:mi>
<mml:mo>&#x2260;</mml:mo>
<mml:msub>
<mml:mi mathvariant="normal">&#x3a6;</mml:mi>
<mml:mn>4</mml:mn>
</mml:msub>
<mml:mi>i</mml:mi>
<mml:mo>&#x2260;</mml:mo>
<mml:msub>
<mml:mi mathvariant="normal">&#x3a6;</mml:mi>
<mml:mn>5</mml:mn>
</mml:msub>
<mml:mi>i</mml:mi>
<mml:mo>&#x2260;</mml:mo>
<mml:msub>
<mml:mi mathvariant="normal">&#x3a6;</mml:mi>
<mml:mn>6</mml:mn>
</mml:msub>
<mml:mi>i</mml:mi>
<mml:mo>&#x2260;</mml:mo>
<mml:mn>0</mml:mn>
<mml:mo>,</mml:mo>
<mml:mi mathvariant="normal">f</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>r</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi>i</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1,2,3,4,5,6</mml:mn>
</mml:mrow>
</mml:math>
<label>(6)</label>
</disp-formula>
</p>
<p>If the processed F-test exists in the lower and the upper limits, the choice becomes uncertain. To survey the energy of the bound test, the Johansen co-incorporation test was likewise directed. This test is comprised of two tests: most extreme Eigenvalue test and follow test. The theory of the follow test is expressed as:<disp-formula id="e7">
<mml:math id="m7">
<mml:mrow>
<mml:msub>
<mml:mi>H</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
<mml:mo>:</mml:mo>
<mml:mi>K</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mi>K</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
<label>(7)</label>
</disp-formula>
<disp-formula id="e8">
<mml:math id="m8">
<mml:mrow>
<mml:msub>
<mml:mi>H</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
<mml:mo>:</mml:mo>
<mml:mi>K</mml:mi>
<mml:mi mathvariant="normal">&#x3e;</mml:mi>
<mml:msub>
<mml:mi>K</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
<label>(8)</label>
</disp-formula>where K<sub>0</sub> is set to zero to inspect on the off chance that the invalid speculation will not be approved, and in the event that it is not approved, at that point, Co-joining exists in the midst of the series. The most extreme Eigenvalue test speculation then again are expressed as:<disp-formula id="e9">
<mml:math id="m9">
<mml:mrow>
<mml:msub>
<mml:mi>H</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
<mml:mo>:</mml:mo>
<mml:mi>K</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mi>K</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
<label>(9)</label>
</disp-formula>
<disp-formula id="e10">
<mml:math id="m10">
<mml:mrow>
<mml:msub>
<mml:mi>H</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
<mml:mo>:</mml:mo>
<mml:mi>K</mml:mi>
<mml:mi mathvariant="normal">&#x3e;</mml:mi>
<mml:msub>
<mml:mi>K</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:math>
<label>(10)</label>
</disp-formula>
</p>
<p>In the above the opportunity for the series to be fixed is presetned if K &#x3d; K<sub>0</sub> and the invalid theory is not approved. Contrastingly, there are M plausible direct mixes, if K<sub>0</sub> &#x3d; m-1 and the invalid theory is dismissed. The ARDL model formed to investigate the long-term alliance in the midst of the series was communicated as:<disp-formula id="e11">
<mml:math id="m11">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mtext>LN</mml:mtext>
<mml:mi>CO</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
<mml:mtext>t</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:msub>
<mml:mrow>
<mml:mo>&#x3d;</mml:mo>
<mml:mtext>&#x3b1;</mml:mtext>
</mml:mrow>
<mml:mn>0</mml:mn>
</mml:msub>
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</disp-formula>where &#x3c3; symbolizes the long-run variance and t&#x2212;1 are the lags chosen via the AIC. For the short-run ARDL model, the ensuing specification was developed.<disp-formula id="e12">
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</disp-formula>Where the short-run variance is denoted by &#x3c3;and IRS<sub>t&#x2212;1</sub> is the error correction term with &#x3a6; being its coefficient. The DARDL technique uses up to 5000 simulations (Amin and Dogan, 2021) as:<disp-formula id="e13">
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</disp-formula>where the distinction administrator is signified by &#x394; and &#x3b1;0 is the block. Additionally, &#x3b8;&#x2032;s and &#x2032;s are the long-run and the short-run coefficients to be assessed individually. &#x3bc; is the lingering term at time t. The VECM of Granger (1987) creates dependable outcomes in time series examination, and was taken on to uncover the causations in the midst of the series. In investigating the causal associations in the midst of the series, the accompanying powerful blunder adjustment models were used:<disp-formula id="e15">
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<label>(16)</label>
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<p>The boundary of the IRS estimates the change speed from the disequilibrium to the balance affiliation and generally falls inside the scope of&#x2014;1 to 0. The instability is changed at the time the mistake amendment coefficient becomes negative and huge.<disp-formula id="e17">
<mml:math id="m17">
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<label>(17)</label>
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<p>Additionally, sequential relationships in the blunder terms were surveyed through the Breusch-Godfrey LM test, while the Ramsey RESET test was performed to check for model precision. As indicated by Qin et al. (2021), relapse assessors do not remark on causal relationships in the midst of series.<disp-formula id="e18">
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<mml:mi mathvariant="normal">&#x394;</mml:mi>
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<mml:mtext>t</mml:mtext>
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<p>In accordance with Khan et al. (2020), the Curve and the Breusch-Agnostic Godfrey tests were performed to evaluate heteroscedasticity in the remaining terms, while the Jarque-Bera test was used to check for lingering ordinariness.<disp-formula id="e19">
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<mml:mi mathvariant="normal">&#x394;</mml:mi>
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<label>(19)</label>
</disp-formula>
</p>
<p>The ARDL technique came out with the DARDL method to improve upon the situation, as well as to estimate the long and the short-run connections amidst series.<disp-formula id="e20">
<mml:math id="m20">
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<label>(20)</label>
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<p>In the situations above &#x3bb; is the steady term, while the assessed boundaries are typified by &#x3a6;. Additionally. IRSt&#x2212;1 is the mistake amendment term, while &#x3a6; is the blunder rectification coefficient which estimates the speed of change towards the balance. &#x3a6; shows how irregularities from the drawn-out harmony are amended. Additionally, &#x2206; means the distinction administrator, while q is the ideal slacks chosen through the AIC. &#x3bc; is the lingering term which is sequentially uncorrelated around a mean of nothing, while t is the review time frame.</p>
</sec>
</sec>
<sec sec-type="results|discussion" id="s4">
<title>4 Results and Discussions</title>
<p>
<xref ref-type="table" rid="T1">Table 1</xref> shows the distinct insights for the factors. EC had the best normal worth in the table, while CO<sub>2</sub> emissions had the most reduced. Information estimations for CO<sub>2</sub> emissions, FDI, ECI, and GTI were all near their mean qualities, while FDI and ES information estimations were far off from their mean qualities, because of significant standard deviations in these informational collections. LnCO2 fixations were additionally observed to be one-sided. This means that a major piece of the variable&#x2019;s information was on the left, while the tails of its dispersion were longer on the right side.</p>
<table-wrap id="T1" position="float">
<label>TABLE 1</label>
<caption>
<p>Descriptive statistics.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Statistic</th>
<th align="center">Mean</th>
<th align="center">Median</th>
<th align="center">Maximum</th>
<th align="center">Minimum</th>
<th align="center">SD</th>
<th align="center">Skewness</th>
<th align="center">Kurtosis</th>
<th align="center">VIF</th>
<th align="center">Tolerance (4/VIF)</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">lnCO4</td>
<td align="char" char=".">&#x2212;1.433</td>
<td align="char" char=".">&#x2212;1.984</td>
<td align="char" char=".">&#x2212;0.374</td>
<td align="char" char=".">&#x2212;1.774</td>
<td align="char" char=".">0.58</td>
<td align="char" char=".">0.434</td>
<td align="char" char=".">2.473</td>
<td align="center">&#x2014;</td>
<td align="center">&#x2014;</td>
</tr>
<tr>
<td align="left">lnFDI</td>
<td align="char" char=".">0.477</td>
<td align="char" char=".">0.647</td>
<td align="char" char=".">0.377</td>
<td align="char" char=".">0.404</td>
<td align="char" char=".">0.72</td>
<td align="char" char=".">&#x2212;0.044</td>
<td align="char" char=".">2.437</td>
<td align="char" char=".">1.74</td>
<td align="char" char=".">0.433</td>
</tr>
<tr>
<td align="left">lnGLO</td>
<td align="char" char=".">0.342</td>
<td align="char" char=".">0.473</td>
<td align="char" char=".">1.447</td>
<td align="char" char=".">&#x2212;1.074</td>
<td align="char" char=".">1.332</td>
<td align="char" char=".">&#x2212;0.447</td>
<td align="char" char=".">1.407</td>
<td align="char" char=".">3.277</td>
<td align="char" char=".">0.433</td>
</tr>
<tr>
<td align="left">lnGTI</td>
<td align="char" char=".">1.343</td>
<td align="char" char=".">1.564</td>
<td align="char" char=".">1.043</td>
<td align="char" char=".">2.737</td>
<td align="char" char=".">0.474</td>
<td align="char" char=".">&#x2212;0.433</td>
<td align="char" char=".">3.474</td>
<td align="char" char=".">2.437</td>
<td align="char" char=".">0.454</td>
</tr>
<tr>
<td align="left">lnECI</td>
<td align="char" char=".">0.747</td>
<td align="char" char=".">0.674</td>
<td align="char" char=".">1.234</td>
<td align="char" char=".">0.347</td>
<td align="char" char=".">0.447</td>
<td align="char" char=".">&#x2212;0.343</td>
<td align="char" char=".">1.707</td>
<td align="char" char=".">1.344</td>
<td align="char" char=".">0.747</td>
</tr>
<tr>
<td align="left">lnRE</td>
<td align="char" char=".">1.477</td>
<td align="char" char=".">1.267</td>
<td align="char" char=".">2.044</td>
<td align="char" char=".">0.022</td>
<td align="char" char=".">1.703</td>
<td align="char" char=".">&#x2212;4.443</td>
<td align="char" char=".">4.443</td>
<td align="char" char=".">1.544</td>
<td align="char" char=".">0.764</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>This implies that their information was bound to be found on the right half of the dispersion and they had a more drawn-out left tail than different factors. Extra information showed that the dataset of ES had bigger tails than the ordinary conveyance, though the dataset of different factors had lighter tails than the typical dispersion, due to their kurtosis values being not exact; the connection examination is shown in <xref ref-type="table" rid="T2">Table 2</xref> as follows.</p>
<table-wrap id="T2" position="float">
<label>TABLE 2</label>
<caption>
<p>Correlational analysis.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Variable</th>
<th align="center">lnCO7</th>
<th align="center">lnFDI</th>
<th align="center">lnGLO</th>
<th align="center">lnGTI</th>
<th align="center">lnECI</th>
<th align="center">lnRE</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">lnCO7</td>
<td align="center">1</td>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td rowspan="2" align="left">lnFDI</td>
<td align="center">0.807</td>
<td align="center">1</td>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="center">(0.000)&#x2a;&#x2a;&#x2a;</td>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td rowspan="2" align="left">lnGLO</td>
<td align="center">0.671</td>
<td align="center">0.757</td>
<td align="center">1</td>
<td align="left"/>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="center">(0.005)&#x2a;&#x2a;</td>
<td align="center">(0.037)&#x2a;&#x2a;</td>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td rowspan="2" align="left">lnGTI</td>
<td align="center">0.793</td>
<td align="center">0.174</td>
<td align="center">0.145</td>
<td align="center">1</td>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="center">(0.077)&#x2a;&#x2a;</td>
<td align="center">-0.154</td>
<td align="center">-0.457</td>
<td align="left"/>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td rowspan="2" align="left">lnECI</td>
<td align="center">0.615</td>
<td align="center">0.587</td>
<td align="center">0.394</td>
<td align="center">0.097</td>
<td align="center">1</td>
<td align="left"/>
</tr>
<tr>
<td align="center">(0.000)&#x2a;&#x2a;&#x2a;</td>
<td align="center">(0.036)&#x2a;&#x2a;</td>
<td align="center">(0.077)&#x2a;</td>
<td align="center">-0.937</td>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td rowspan="2" align="left">lnRE</td>
<td align="center">0.567</td>
<td align="center">0.514</td>
<td align="center">0.673</td>
<td align="center">0.513</td>
<td align="center">0.377</td>
<td align="char" char=".">1</td>
</tr>
<tr>
<td align="center">(0.077)&#x2a;&#x2a;</td>
<td align="center">(0.007)&#x2a;&#x2a;&#x2a;</td>
<td align="center">(0.077)&#x2a;&#x2a;</td>
<td align="center">(0.067)&#x2a;</td>
<td align="center">(0.017)&#x2a;&#x2a;</td>
<td align="left"/>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>Values in parenthesis ( ) represent probabilities while &#x2a;&#x2a;&#x2a;, &#x2a;&#x2a;, &#x2a; denote significance at the 1%, 5% and the 10% levels respectively.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>Government projects upheld by green cash are huge scope hypotheses with more dangers and more convoluted system collaboration, making it hard to achieve unprecedented profits from green innovation advancement. Positive outer conditions and low venture benefit increment speculation hazard in advancing green development of substance area. The public authority&#x2019;s job should decrease the cost of consistency for organizations. The objective of regular methodology ought to be to stay aware of the activities of the collecting business by further making systems for biological information revelation and normal administration, as per one viewpoint. <xref ref-type="table" rid="T3">Table 3</xref> shows the principal component&#x2019;s analysis.</p>
<table-wrap id="T3" position="float">
<label>TABLE 3</label>
<caption>
<p>Shows the results of principal component&#x2019;s analysis on green technology innovation.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Component</th>
<th align="center">Eigenvalue</th>
<th colspan="2" align="center">Difference</th>
<th align="center">Proportion</th>
<th align="center">Cumulative</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">Comp 1</td>
<td align="char" char=".">3.576</td>
<td colspan="2" align="center">3.063</td>
<td align="center">0.543</td>
<td align="char" char=".">0.536</td>
</tr>
<tr>
<td align="left">Comp 2</td>
<td align="char" char=".">3.629</td>
<td colspan="2" align="center">0.459</td>
<td align="center">0.369</td>
<td align="char" char=".">0.908</td>
</tr>
<tr>
<td align="left">Comp 3</td>
<td align="char" char=".">0.834</td>
<td colspan="2" align="center">0.596</td>
<td align="center">0.363</td>
<td align="char" char=".">0.653</td>
</tr>
<tr>
<td align="left">Comp 4</td>
<td align="char" char=".">0.353</td>
<td colspan="2" align="center">0.333</td>
<td align="center">0.039</td>
<td align="char" char=".">0.504</td>
</tr>
<tr>
<td align="left">Comp 5</td>
<td align="char" char=".">0.042</td>
<td colspan="2" align="center">-</td>
<td align="center">0.003</td>
<td align="char" char=".">0.045</td>
</tr>
<tr>
<td colspan="6" align="left">Eigenvectors (loadings)</td>
</tr>
<tr>
<td colspan="3" align="left">&#x2003;Variable</td>
<td align="center">Comp 1</td>
<td colspan="2" align="center">Comp 2</td>
</tr>
<tr>
<td colspan="3" align="left">&#x2003;CO2 emissions Industries</td>
<td align="center">&#x2212;0.503m</td>
<td colspan="2" align="center">&#x2212;0.36</td>
</tr>
<tr>
<td colspan="3" align="left">&#x2003;Green Technology Innovation</td>
<td align="center">0.363</td>
<td colspan="2" align="center">&#x2212;0.533n</td>
</tr>
<tr>
<td colspan="3" align="left">&#x2003;Economic complexity</td>
<td align="center">0.565m</td>
<td colspan="2" align="center">0.333</td>
</tr>
<tr>
<td colspan="3" align="left">&#x2003;Foreign Direct Investments</td>
<td align="center">&#x2212;0.059</td>
<td colspan="2" align="center">0.695n</td>
</tr>
<tr>
<td colspan="3" align="left">&#x2003;Foreign Direct Investments</td>
<td align="center">0.593m</td>
<td colspan="2" align="center">0.35</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>Notes: m denotes significant loadings under component 1 and n denotes significant loadings under component 2.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<sec id="s4-1">
<title>4.1 Unit Root and Cointegration Tests Results</title>
<p>Numerous measurable tests and models in time series investigation depend on fixed information. To find out about the series&#x2019; fixed characteristics, the DF-GLS, PP, KPSS, and ADF unit root tests were utilized. The DARDL assessor might be utilized on the grounds that, as displayed in <xref ref-type="table" rid="T4">Table 4</xref>, all series are fixed at request I (1). A change in time did not adjust the type of the disseminations of the factors after their first separation. This disclosure is in concurrence with the examinations of <xref ref-type="bibr" rid="B60">Sun et al. (2021)</xref>, which showed that the series have a co-reconciliation relationship assuming they have a coordinated request of I (1), as shown in <xref ref-type="table" rid="T4">Table 4</xref> the unit root tests results.</p>
<table-wrap id="T4" position="float">
<label>TABLE 4</label>
<caption>
<p>Unit root tests results.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th rowspan="2" align="left">Variable</th>
<th colspan="2" align="center">DF-GLS</th>
<th colspan="2" align="center">PP</th>
<th colspan="2" align="center">KPSS</th>
<th colspan="2" align="center">ADF</th>
</tr>
<tr>
<th align="center">Level</th>
<th align="center">1st Diff.</th>
<th align="center">Level</th>
<th align="center">1st Diff..</th>
<th align="center">Level</th>
<th align="center">1st Diff.</th>
<th align="center">Level</th>
<th align="center">1st Diff.</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">lnCO1</td>
<td align="char" char=".">&#x2212;1.173</td>
<td align="char" char=".">&#x2212;1.678&#x2a;&#x2a;</td>
<td align="char" char=".">&#x2212;1.41 4</td>
<td align="char" char=".">&#x2212;6.731&#x2a;&#x2a;&#x2a;</td>
<td align="char" char=".">0.738</td>
<td align="char" char=".">0.736&#x2a;&#x2a;</td>
<td align="char" char=".">&#x2212;1.514</td>
<td align="char" char=".">&#x2212;1.516&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left">lnFDI</td>
<td align="char" char=".">&#x2212;4.159</td>
<td align="char" char=".">&#x2212;4.854&#x2a;&#x2a;&#x2a;</td>
<td align="char" char=".">&#x2212;4.736</td>
<td align="char" char=".">&#x2212;7.454&#x2a;&#x2a;&#x2a;</td>
<td align="char" char=".">0.164</td>
<td align="char" char=".">0.591&#x2a;&#x2a;&#x2a;</td>
<td align="char" char=".">&#x2212;0.738</td>
<td align="char" char=".">&#x2212;1.151&#x2a;</td>
</tr>
<tr>
<td align="left">lnGLO</td>
<td align="char" char=".">&#x2212;1.674</td>
<td align="char" char=".">&#x2212;4.514&#x2a;&#x2a;&#x2a;</td>
<td align="char" char=".">&#x2212;4.118</td>
<td align="char" char=".">&#x2212;6.737&#x2a;&#x2a;&#x2a;</td>
<td align="char" char=".">0.164</td>
<td align="char" char=".">0.734&#x2a;&#x2a;</td>
<td align="char" char=".">&#x2212;1.464</td>
<td align="char" char=".">&#x2212;4.671&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left">lnGTI</td>
<td align="char" char=".">&#x2212;4.596</td>
<td align="char" char=".">&#x2212;4.167&#x2a;&#x2a;&#x2a;</td>
<td align="char" char=".">&#x2212;1.646</td>
<td align="char" char=".">&#x2212;1.676&#x2a;&#x2a;</td>
<td align="char" char=".">0.473</td>
<td align="char" char=".">0.591&#x2a;&#x2a;&#x2a;</td>
<td align="char" char=".">&#x2212;1.546</td>
<td align="char" char=".">&#x2212;1.006&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left">lnECI</td>
<td align="char" char=".">&#x2212;1.646</td>
<td align="char" char=".">&#x2212;1.151&#x2a;&#x2a;&#x2a;</td>
<td align="char" char=".">&#x2212;4.864</td>
<td align="char" char=".">&#x2212;8.011&#x2a;&#x2a;&#x2a;</td>
<td align="char" char=".">0.596</td>
<td align="char" char=".">0.737&#x2a;</td>
<td align="char" char=".">&#x2212;4.116</td>
<td align="char" char=".">&#x2212;4.101&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left">lnRE</td>
<td align="char" char=".">&#x2212;0.173</td>
<td align="char" char=".">&#x2212;1.591&#x2a;&#x2a;</td>
<td align="char" char=".">&#x2212;4.676</td>
<td align="char" char=".">&#x2212;6.167&#x2a;&#x2a;&#x2a;</td>
<td align="char" char=".">0.731</td>
<td align="char" char=".">0.671&#x2a;&#x2a;&#x2a;</td>
<td align="char" char=".">&#x2212;1.111</td>
<td align="char" char=".">&#x2212;4.516&#x2a;&#x2a;&#x2a;</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>DF-GLS indicates Dickey-Fuller Generalized Least Squares test of Elliott, Rothenberg. Also, &#x2a;&#x2a;&#x2a;, &#x2a;&#x2a;, &#x2a; denote significance at the 1%, 5% and the 10% levels respectively.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>Subsequently, the tests in <xref ref-type="table" rid="T5">Table 5</xref> were utilized to inspect the co-combination attributes of the series in the second phase of the investigation. It was found that the F-test and <italic>t</italic>-test estimations were fundamentally higher than the upper limits, affirmed by huge rough p-values. This shows that the series had a drawn-out co-incorporation relationship.</p>
<table-wrap id="T5" position="float">
<label>TABLE 5</label>
<caption>
<p>Cointegration tests results.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th colspan="10" align="left">ARDL Bounds Test Results</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td colspan="2" align="left">Statistic</td>
<td colspan="2" align="center">10.00%</td>
<td colspan="2" align="center">5.00%</td>
<td colspan="2" align="center">1.00%</td>
<td colspan="2" align="center">P-Value</td>
</tr>
<tr>
<td colspan="3" align="left">I (0)</td>
<td align="center">I (1)</td>
<td align="center">I (0)</td>
<td align="center">I (1)</td>
<td align="center">I (0)</td>
<td align="center">I (1)</td>
<td align="center">I (0)</td>
<td align="center">I (1)</td>
</tr>
<tr>
<td align="left">F-statistic</td>
<td align="char" char=".">7.115</td>
<td align="char" char=".">1.467</td>
<td align="left">5.735</td>
<td align="left">3.173</td>
<td align="left">3.146</td>
<td align="left">3.527</td>
<td align="left">7.333</td>
<td align="left">0.005</td>
<td align="left">0.007</td>
</tr>
<tr>
<td align="left">t-statistic</td>
<td align="char" char=".">&#x2212;7.331</td>
<td align="char" char=".">&#x2212;5.465</td>
<td align="left">&#x2212;3.357</td>
<td align="left">&#x2212;5.152</td>
<td align="left">&#x2212;3.515</td>
<td align="left">&#x2212;5.355</td>
<td align="left">&#x2212;3.527</td>
<td align="left">0.003</td>
<td align="left">0.005</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>Gauges from the Johansen test were additionally contrasted with the limits test to guarantee that the outcomes were precise. To build up this drawn-out connection between factors, all the co-joining conditions were demonstrated to be measurably huge. The subsequent stage was to examine the indicators&#x2019; boundaries are matched between the aftereffects of <xref ref-type="bibr" rid="B45">Musah et al. (2020a)</xref>. <xref ref-type="table" rid="T6">Table 6</xref> shows the Johansen co-integration test results.</p>
<table-wrap id="T6" position="float">
<label>TABLE 6</label>
<caption>
<p>Johansen co-integration test results.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">No. of CE(s)</th>
<th align="center">Trace Stat</th>
<th align="center">Prob</th>
<th align="center">Max. Eigen stat</th>
<th align="center">Prob</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">None</td>
<td align="char" char=".">165.035</td>
<td align="char" char=".">0.000&#x2a;&#x2a;&#x2a;</td>
<td align="char" char=".">62.57</td>
<td align="center">0.000&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left">At most 1</td>
<td align="char" char=".">69.562</td>
<td align="char" char=".">0.001&#x2a;&#x2a;&#x2a;</td>
<td align="char" char=".">36.657</td>
<td align="center">0.002&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left">At most 3</td>
<td align="char" char=".">53.723</td>
<td align="char" char=".">0.0001&#x2a;&#x2a;&#x2a;</td>
<td align="char" char=".">31.526</td>
<td align="center">0.0001&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left">At most 3</td>
<td align="char" char=".">31.521</td>
<td align="char" char=".">0.0001&#x2a;&#x2a;&#x2a;</td>
<td align="char" char=".">13.372</td>
<td align="center">0.001&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left">At most 5</td>
<td align="char" char=".">4.571</td>
<td align="char" char=".">0.001&#x2a;&#x2a;</td>
<td align="char" char=".">7.5271</td>
<td align="center">0.00&#x2013;2&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left">At most 5</td>
<td align="char" char=".">0.633</td>
<td align="char" char=".">0.0027&#x2a;</td>
<td align="char" char=".">0.7291</td>
<td align="center">0.003&#x2a;&#x2a;</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>The ARDL bound test was supported by the Kripfganz and Schneider (2017) critical value bounds and approximate p-values. &#x2a;&#x2a;&#x2a;, &#x2a;&#x2a;, &#x2a; denote significance at the 1%, 5% and the 10% levels respectively.</p>
</fn>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="s4-2">
<title>4.2 Dynamic ARDL Recreations Results</title>
<p>To appraise the versatility of regressors, the co-incorporation of the series should be affirmed. As a third stage, the analysts utilized the DARDL assessor to inspect the minor impacts of the indicators on the rule variable. <xref ref-type="table" rid="T7">Table 7</xref> shows that FDI developing fossil fuel byproducts in China impacted ES. To put it another way, a one percent increment in FDI affected the long haul and transient ES individually. It is conceivable that open financial administrations helped modernie and assemble movement, which thus prompted an expansion in emissions. Financial development might prompt an increment in emissions of carbon dioxide, as indicated by Zhao et al. (2021). Studies recommend that financial incorporation allowed individuals to acquire minimal expense financing for contaminating family hardware, which ultimately debased the country&#x2019;s natural quality. Organizations had the option to get minimal expense offices to buy energy-concentrated hardware and apparatus, which brought about more emissions on account of financial comprehensiveness. Financial comprehensiveness might have prompted an ascent in the country&#x2019;s gross fixed capital development, bringing about an expansion in energy utilization and an increase in the country&#x2019;s emissions. These outcomes vary from past exploration which tracked down an altered U-formed connection among FA and carbon emissions in 103 nations. Contingent upon the phase of FA, its effect on the radiation of carbon differs (Renzhi, 2020). Moreover, FDI added to China&#x2019;s natural harm for each 1% expansion in FDI; the country&#x2019;s current circumstance was deteriorated by 1.167 and 0.937% in both the long-term and the present. To get away from the expenses of thorough ecological limitations, environmentally unfriendly organizations move their exercises towards low natural guidelines (Guoyan et al., 2021). Along these lines, China&#x2019;s ecological guidelines were deficient, which tempted high-contaminating firms to settle in China. Apparently FDI inflows supported financial action in the country, which thus prompted an expansion in the utilization of contaminating energy sources and, subsequently, emissions. FDI is fundamental to China&#x2019;s financial endurance, but more natural laws are expected to keep the import of harmful associations from different nations. Approaching unfamiliar direct speculation (FDI) into the country ought to be considered alongside new environmentally friendly innovation and assembling strategies. As described by Gyamfi et al. (2021), the corona hypothesis is upheld by the review&#x2019;s discoveries that FDI inflows are connected to green innovation, administrative abilities, and high assembling norms that increment ES in the host countries. Accordingly, vacillations in FDI can prompt decreases in emissions in the nations that get it, which is eventually positive for the climate (<xref ref-type="bibr" rid="B43">Mert et al., 2020</xref>).</p>
<table-wrap id="T7" position="float">
<label>TABLE 7</label>
<caption>
<p>DARDL and ARDL estimation results.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th colspan="1" align="center">Variable</th>
<th colspan="5" align="center">DARDL</th>
<th colspan="3" align="center">ARDL</th>
</tr>
<tr>
<td align="left"/>
<td align="center">Coeff.</td>
<td align="center">SE</td>
<td align="center">t-Statistic</td>
<td align="center">Prob.</td>
<td align="center">Coeff.</td>
<td align="center">SE</td>
<td align="center">t-Statistic</td>
<td align="center">Prob.</td>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">
<italic>ln</italic>FDI<sub>t&#x2212;1</sub>
</td>
<td align="center">6.164</td>
<td align="center">1.6116</td>
<td align="center">3.11</td>
<td align="center">0.006&#x2a;&#x2a;&#x2a;</td>
<td align="center">3.164</td>
<td align="center">1.5241</td>
<td align="center">1.14</td>
<td align="center">0.016&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left">&#x2206;<italic>lnFDI</italic>
<sub>t</sub>
</td>
<td align="center">4.641</td>
<td align="center">1.6052</td>
<td align="center">1.14</td>
<td align="center">0.001&#x2a;&#x2a;&#x2a;</td>
<td align="center">1.041</td>
<td align="center">0.7539</td>
<td align="center">1.06</td>
<td align="center">0.039&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left">
<italic>ln</italic>GLO<sub>t&#x2212;1</sub>
</td>
<td align="center">1.154</td>
<td align="center">0.4152</td>
<td align="center">2.61</td>
<td align="center">0.006&#x2a;&#x2a;&#x2a;</td>
<td align="center">0.752</td>
<td align="center">0.1754</td>
<td align="center">4.16</td>
<td align="center">0.061&#x2a;</td>
</tr>
<tr>
<td align="left">&#x2206;<italic>ln</italic>GLO<sub>t</sub>
</td>
<td align="center">0.752</td>
<td align="center">0.4541</td>
<td align="center">1.01</td>
<td align="center">0.014&#x2a;&#x2a;</td>
<td align="center">0.016</td>
<td align="center">0.0064</td>
<td align="center">1.54</td>
<td align="center">0.006&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left">
<italic>ln</italic>GTI<sub>t&#x2212;1</sub>
</td>
<td align="center">6.111</td>
<td align="center">1.6454</td>
<td align="center">4.17</td>
<td align="center">0.001&#x2a;&#x2a;&#x2a;</td>
<td align="center">4.176</td>
<td align="center">1.606</td>
<td align="center">1.77</td>
<td align="center">0.052&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left">
<italic>ln</italic>&#x2206;GTI<sub>t</sub>
</td>
<td align="center">1.471</td>
<td align="center">0.539</td>
<td align="center">1.76</td>
<td align="center">0.006&#x2a;&#x2a;&#x2a;</td>
<td align="center">1.011</td>
<td align="center">0.4154</td>
<td align="center">4.06</td>
<td align="center">0.017&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left">
<italic>ln</italic>ECI<sub>t&#x2212;1</sub>
</td>
<td align="center">4.411</td>
<td align="center">1.416</td>
<td align="center">2.11</td>
<td align="center">0.004&#x2a;&#x2a;&#x2a;</td>
<td align="center">4.111</td>
<td align="center">1.0611</td>
<td align="center">1.74</td>
<td align="center">0.016&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left">&#x2206;<italic>ln</italic>ECI<sub>t</sub>
</td>
<td align="center">1.641</td>
<td align="center">1.1152</td>
<td align="center">1.16</td>
<td align="center">0.016&#x2a;&#x2a;</td>
<td align="center">1.714</td>
<td align="center">0.6064</td>
<td align="center">1.61</td>
<td align="center">0.054&#x2a;</td>
</tr>
<tr>
<td align="left">
<italic>ln</italic>ES<sub>t&#x2212;1</sub>
</td>
<td align="center">4.152</td>
<td align="center">1.6476</td>
<td align="center">2.04</td>
<td align="center">0.004&#x2a;&#x2a;&#x2a;</td>
<td align="center">1.552</td>
<td align="center">1.4754</td>
<td align="center">1.76</td>
<td align="center">0.054&#x2a;</td>
</tr>
<tr>
<td align="left">&#x2206;<italic>ln</italic>ES<sub>t</sub>
</td>
<td align="center">1.141</td>
<td align="center">0.5239</td>
<td align="center">3.11</td>
<td align="center">0.006&#x2a;&#x2a;&#x2a;</td>
<td align="center">0.747</td>
<td align="center">0.454</td>
<td align="center">1.06</td>
<td align="center">0.016&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left">Constant</td>
<td align="center">6.116</td>
<td align="center">1.1606</td>
<td align="center">4.67</td>
<td align="center">0.001&#x2a;&#x2a;&#x2a;</td>
<td align="center">4.396</td>
<td align="center">1.1761</td>
<td align="center">4.61</td>
<td align="center">0.006&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left">ECT<sub>t&#x2212;1</sub>
</td>
<td align="center">-0.552</td>
<td align="center">0.111</td>
<td align="center">-4.16</td>
<td align="center">0.007&#x2a;&#x2a;&#x2a;</td>
<td align="center">-0.616</td>
<td align="center">0.3976</td>
<td align="center">-1.39</td>
<td align="center">0.006&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left">R2</td>
<td align="left"/>
<td align="left"/>
<td align="center">0.676</td>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="center">0.611</td>
<td align="left"/>
</tr>
<tr>
<td align="left">Adjusted R2</td>
<td colspan="3" align="center">0.641</td>
<td colspan="5" align="center">0.676</td>
</tr>
<tr>
<td align="left">F-statistic</td>
<td colspan="3" align="center">152.539</td>
<td colspan="5" align="center">116.114</td>
</tr>
<tr>
<td align="left">&#xa0;</td>
<td colspan="3" align="center">(0.001)&#x2a;&#x2a;&#x2a;</td>
<td colspan="5" align="center">(0.006)&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left">Simulations</td>
<td colspan="3" align="center">6000</td>
<td colspan="5" align="center">-</td>
</tr>
<tr>
<td colspan="9" align="left">Diagnostic tests</td>
</tr>
<tr>
<td align="left">&#x2003;B-G LM test</td>
<td colspan="3" align="center">1.139 (0.541)</td>
<td colspan="5" align="center">1.154 (0.416)</td>
</tr>
<tr>
<td align="left">&#x2003;B-P-G test</td>
<td colspan="3" align="center">0.639 (0.524)</td>
<td colspan="5" align="center">0.116 (0.161)</td>
</tr>
<tr>
<td align="left">&#x2003;ARCH test</td>
<td colspan="3" align="center">1.611 (0.616)</td>
<td colspan="5" align="center">0.616 (0.541)</td>
</tr>
<tr>
<td align="left">&#x2003;RESET test</td>
<td colspan="3" align="center">0.741 (0.539)</td>
<td colspan="5" align="center">0.414 (0.414)</td>
</tr>
<tr>
<td align="left">&#x2003;J-B test</td>
<td colspan="3" align="center">1.752 (0.539)</td>
<td colspan="5" align="center">1.652 (0.616)</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>lnCO<sub>2</sub> is the response variable, Also, &#x2a;&#x2a;&#x2a;, &#x2a;&#x2a;, &#x2a; denote significance at the 1%, 5% and the 10% levels respectively.</p>
</fn>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="s4-3">
<title>4.3 DARDL and ARDL Estimation Results</title>
<p>FD was antagonistic to China&#x2019;s nature. A 5% increment in FDI affects the country&#x2019;s current circumstance of 5.221% in the long haul and 1.491% in the short-term that shows that China&#x2019;s receptiveness to exchange with its partners has brought about a debilitation of exchange-related natural guidelines. Accordingly, more carbon-serious products were imported, which prompted expanded emissions the nation over. China&#x2019;s economy developed its expanded business with different nations, bringing about an increment in ozone harming substance emissions, because of the scale of impact exploratory investigations of the information. In China, GTI likewise affected ES. At the point when all else is equivalent, a 1% increment in GTI lessens the country&#x2019;s current circumstance by 5.532% over the long haul and by 3.721% in the short-term. Human exercises are generally at fault for developing contamination levels across all economies, hence this disclosure does not shock anyone. China&#x2019;s GTI rate was expected to climb, which would prompt an increase in contamination in the climate. Expanded interest for petroleum products has likewise added to natural tainting in the country because of the developing pace of hereditarily adjusted creatures. The long and short-term impacts of a 1% increment in ES were 4.257 and 2.252%, separately, when any remaining elements stayed consistent. As indicated by these discoveries, the country&#x2019;s modern and business action was controlled via fossil fuel byproducts using unclean energy. China&#x2019;s expanding natural worries require the utilization of environmentally friendly power sources that have been considered positive for human wellbeing and the climate. As well as supporting the country&#x2019;s financial development, a shift to clean energy utilization may likewise help the nation&#x2019;s change to a more reasonable economy (<xref ref-type="bibr" rid="B18">Danish et al., 2018</xref>). Subsequently, sustainable power will not just assist the country with handling environmental change, however it will likewise Slacked blunder revision (IRS<sub>t-1</sub>) was additionally negative and significant, as anticipated. The IRS<sub>t-1</sub> score of - 0.886 demonstrates that any disparity was recuperated at a pace of 88.6%. In their exploration, Murshed et al. (2021) tracked down equal R discoveries; the Breusch Godfrey LM-test found no sequential connection in the model&#x2019;s mistake terms considering the disclosures and Curve and Breusch-Agnostic Godfrey-tests observed that the residuals were homoscedastic. Moreover, the Ramsey RESET-test demonstrated that the model was all around indicated and changed <italic>R</italic>
<sup>2</sup> demonstrates that 84.1% of the variety in ES can be attributed to the indicators, while the critical F-estimation mirrors the model&#x2019;s capacity to clarify the information precisely and productively. An upgraded form of the ARDL assessor, DARDL, has been created in <xref ref-type="table" rid="T7">Table 7</xref>.</p>
<p>Thus, assessments of the ARDL approach were additionally analyzed. In both the long and short-term, FDI contrarily affected ES. Likewise, GLO, ECI, GTI, and ES adversely affect the country&#x2019;s ecological wellbeing. As seen by the <italic>R</italic>
<sup>2</sup> estimation, the IRS<sub>t-1</sub> was genuinely irrelevant at the 1% level while the relapses represented a significant part of the change factor. Moreover, the F-measurement estimation utilizing this method demonstrated that the model had an exceptionally high prescient potential. To sum up, the versatility of the indicators under the two assessors fluctuated as far as weight and importance, however they were comparable as far as sign. Along these lines, the discoveries are solid and might be utilized to settle on approach decisions. <xref ref-type="table" rid="T8">Table 8</xref> shows the analytic tests used to confirm the model&#x2019;s legitimacy.</p>
<table-wrap id="T8" position="float">
<label>TABLE 8</label>
<caption>
<p>Pairwise Granger causality tests results.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Variable</th>
<th align="center">lnCO2</th>
<th align="center">lnFDI</th>
<th align="center">lnGLO</th>
<th align="center">lnGTI</th>
<th align="center">lnECI</th>
<th align="center">lnRE</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td rowspan="2" align="left">lnCO2</td>
<td align="center">-</td>
<td align="center">4.526</td>
<td align="center">4.374</td>
<td align="center">4.344</td>
<td align="center">4.717</td>
<td align="center">-0.673</td>
</tr>
<tr>
<td align="left"/>
<td align="center">-0.345</td>
<td align="center">(0.004)&#x2a;&#x2a;&#x2a;</td>
<td align="center">(0.034)&#x2a;&#x2a;</td>
<td align="center">(0.004)&#x2a;&#x2a;&#x2a;</td>
<td align="center">(0.003)&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td rowspan="2" align="left">lnFDI</td>
<td align="center">6.726</td>
<td align="center">-</td>
<td align="center">6.716</td>
<td align="center">5.054</td>
<td align="center">0.653</td>
<td align="center">-0.713</td>
</tr>
<tr>
<td align="center">(0.004)&#x2a;&#x2a;&#x2a;</td>
<td align="left"/>
<td align="center">-0.433</td>
<td align="center">(0.067)&#x2a;</td>
<td align="center">-0.826</td>
<td align="center">(0.005)&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td rowspan="2" align="left">lnGLO</td>
<td align="center">4.652</td>
<td align="center">0.363</td>
<td align="center">-</td>
<td align="center">0.374</td>
<td align="center">0.674</td>
<td align="center">-0.535</td>
</tr>
<tr>
<td align="center">(0.036)&#x2a;&#x2a;</td>
<td align="center">(0.044)&#x2a;&#x2a;</td>
<td align="left"/>
<td align="center">-0.505</td>
<td align="center">-0.717</td>
<td align="center">(0.045)&#x2a;&#x2a;</td>
</tr>
<tr>
<td rowspan="2" align="left">lnGTI</td>
<td align="center">6.354</td>
<td align="center">3.345</td>
<td align="center">3.463</td>
<td align="center">3.633</td>
<td align="center">3.57</td>
<td align="center">-0.533</td>
</tr>
<tr>
<td align="center">(0.003)&#x2a;&#x2a;&#x2a;</td>
<td align="center">-0.367</td>
<td align="center">(0.047)&#x2a;&#x2a;</td>
<td align="center">-0.305</td>
<td align="center">-0.682</td>
<td align="center">(0.005)&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td rowspan="2" align="left">lnECI</td>
<td align="center">4.345</td>
<td align="center">0.344</td>
<td align="center">3.033</td>
<td align="center">-</td>
<td align="center">3.337</td>
<td align="center">-0.573</td>
</tr>
<tr>
<td align="center">(0.034)&#x2a;&#x2a;</td>
<td align="center">(0.071)&#x2a;</td>
<td align="center">-0.453</td>
<td align="left"/>
<td align="center">(0.044)&#x2a;&#x2a;</td>
<td align="center">(0.004)&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td rowspan="2" align="left">lnRE</td>
<td align="center">7.446</td>
<td align="center">3.344</td>
<td align="center">4.346</td>
<td align="center">0.757</td>
<td align="center">0.544</td>
<td align="center">-0.646</td>
</tr>
<tr>
<td align="center">(0.003)&#x2a;&#x2a;&#x2a;</td>
<td align="center">-0.434</td>
<td align="center">-0.347</td>
<td align="center">-0.382</td>
<td align="center">-0.634</td>
<td align="center">(0.004)&#x2a;&#x2a;&#x2a;</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>lnCO<sub>2</sub> is the response variable, while values in parenthesis represent probabilities. Finally, &#x2a;&#x2a;&#x2a;, &#x2a;&#x2a;, &#x2a; denote significance at the 1%, 5% and the 10% levels respectively.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>According to Qin et al. (2021), evaluation does not provide detailed information on the causal relationship in a series of events. For this reason, the VECM technique was used to investigate how the various sections are related to one another in light of Chontanawat (2020). <xref ref-type="table" rid="T8">Table 8&#x2019;</xref>s negative and massive IRSs caused a lengthy causal chain in the middle of the series. One-way causality between the data and the results showed that FDI had a single direction link with routine pollution. Proponents of this theory argue that shopper premium was sustained by cash in the economy, leading to an increase in usage-based emissions.</p>
</sec>
<sec id="s4-4">
<title>4.4 Discussions</title>
<p>When businesses gained access to income, they used high-polluting energy that degraded the country&#x2019;s natural quality, which was a direct result of financial fusing. It was shown that GLO and normal corruption had a two-way relation. Because of this link, which suggests that the series were brought together to such a degree that a flood in one variable kicked off an expansion in the other, FDI inflows in China did not move ES forward. As a result of this, scientists were not involved in drawing GLO pairings that were safe for the environment. Even more damaging was the fact that ECI contaminated our national resources. It appears that China and its trading partners sold carbon-concentrated items that harmed China&#x2019;s ecological management, as this idea suggests (ES). The findings of <xref ref-type="bibr" rid="B46">Musah et al., 2020b</xref> are in conflict with the disclosure above. It was also affected GTI and fossil fuel byproducts. GTI-produced human activity is clearly connected to the poisoning of the environment. The link between EC and the byproducts of fossil fuels was finally discovered. This result is a direct result of the expansion of dirty energy sources in this country. As a result, it would be a wise decision for China to switch to environmentally friendly sources of power. Regression results can be represented visually in the DARDL assessor, which includes this feature. This suggests that if energy usage increases, the natural quality of the country will deteriorate; however, if energy use is directed, the biological quality of the country would improve.</p>
</sec>
</sec>
<sec id="s5">
<title>5. Conclusion and Policy Recommendations</title>
<p>The study examined the role of globalization, energy consumption, foreign direct investment, and urbanization impacts on environmental sustainability using a multivariate approach for the case of China using time series data from 1980 to 2019 collected from different Chinese databases. The study applied the principal components analysis, unit root and co-integration tests, Johansen co-integration test, and Dynamic ARDL recreations of the analysis results. The DARDL model is very suitable for the analysis of time data used for the research. The results shows that FDI has a negative impact on the country&#x2019;s inherent character. Fossil fuel byproducts and FDI, GI, and ES have a strong correlation with each other, and cause a major part of CO<sub>2</sub> emissions in the environmental pollution of China. Green technology innovations have a positive contribution to decreasing CO2 emissions as well as other factors of environmental pollution in China. Foreign direct investment also has a positive significant impact on the CO2 emissions and the study results are supported by Renzhi and Baek (2020) who stated that a money-related business will eventually emerge when other money-related businesses are drawn to the growing need for financial organizations to help in reducing environmental pollutions. As described by <xref ref-type="bibr" rid="B50">Park and Hong. (2013)</xref>, economic growth was shown to be connected to the consumption of non-renewable energy sources that emitted carbon dioxide. Urbanization is also a big factor causing environmental pollution, especially soil and water pollution in big cities, and also CO<sub>2</sub> emissions increases due to increases in transportation facilities. In addition, green technology innovations and the growth of clean businesses in the country should be supported and encouraged to help to improve environmental sustainability. As a result, GTI to ES is acceptable to the country. It is also important to remember that China&#x2019;s financial stability is heavily dependent on asset-based ventures and new plan upgrades should help to reduce the country&#x2019;s energy use. Furthermore, implementing energy conservation measures to reduce the country&#x2019;s rising emissions levels is a good idea. In addition, creative activity in the country should not be limited to financial gains alone, but should also take into account environmental quality. To counteract some of the benefits of increased financial development on CO<sub>2</sub> emissions, it is possible that this connection may need to be supported in the future.</p>
<sec id="s5-1">
<title>5.1 Limitations and Future Recommendations</title>
<p>This is a perfect time to adopt mechanical advancements that are connected to a reduction in environmental pollution. The lack of simple admission to information is a significant obstacle in this request and the data for some of the variables did not go back far enough. Finally, the dataset&#x2019;s missing data may be filled up with the help of the data addition and extrapolation technique. As a result, further research into the validity of this inquiry may be undertaken in the future.</p>
</sec>
</sec>
</body>
<back>
<sec id="s6">
<title>Data Availability Statement</title>
<p>The original contributions presented in the study are included in the article/Supplementary Material, further inquiries can be directed to the corresponding authors.</p>
</sec>
<sec id="s7">
<title>Ethics Statement</title>
<p>Ethical review and approval was not required for the study on human participants in accordance with the local legislation and institutional requirements. Written informed consent for participation was not required for this study in accordance with the national legislation and the institutional requirements.</p>
</sec>
<sec id="s8">
<title>Author Contributions</title>
<p>YW: conceptualizing, writing, drafting-Original draft. YY: data collection and empirical estimations. YT: conceptualizing, review and editing.</p>
</sec>
<sec sec-type="COI-statement" id="s9">
<title>Conflict of Interest</title>
<p>The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec sec-type="disclaimer" id="s10">
<title>Publisher&#x2019;s Note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors, and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
<ack>
<p>Philosophy and Social Science Fund of Tianjin City, Grant/Award Number: TJYJ21-003.</p>
</ack>
<sec id="s11">
<title>Abbreviations</title>
<p>AMG, augmented mean group; ARDL, autoregressive distributed lag; CO<sub>2</sub>, carbon emissions metric tons per capita; ECI, economic complexity index; GLO, globalization index based on economic, social, and political dimensions of a country; ES, environmental sustainability; GTI, green technology innovation; FDI, foreign direct investments; DARDL, dynamic autoregressive distributed lag; PHH, pollution haven hypothesis; RE, renewable energy per capita consumption; VECM, vector error correction model.</p>
</sec>
<ref-list>
<title>References</title>
<ref id="B1">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Adebayo</surname>
<given-names>T. S.</given-names>
</name>
<name>
<surname>Kirikkaleli</surname>
<given-names>D.</given-names>
</name>
</person-group> (<year>2021</year>). <article-title>Impact of Renewable Energy Consumption, Globalization, and Technological Innovation on Environmental Degradation in Japan: Application of Wavelet Tools</article-title>. <source>Environ. Dev. Sustain.</source> <volume>4</volume> (<issue>2</issue>), <fpage>1</fpage>&#x2013;<lpage>26</lpage>. <pub-id pub-id-type="doi">10.1007/s10668-021-01322-2</pub-id> </citation>
</ref>
<ref id="B3">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Adewuyi</surname>
<given-names>A. O.</given-names>
</name>
<name>
<surname>Awodumi</surname>
<given-names>O. B.</given-names>
</name>
</person-group> (<year>2017</year>). <article-title>Renewable and Non-renewable Energy Growth Emissions Linkages: Review of Emerging Trends with Policy Implications</article-title>. <source>Renew. Sustain. Energ. Rev.</source> <volume>69</volume>, <fpage>275</fpage>&#x2013;<lpage>291</lpage>. <pub-id pub-id-type="doi">10.1016/j.rser.2016.11.178</pub-id> </citation>
</ref>
<ref id="B4">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Ahmad</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Khan</surname>
<given-names>Z.</given-names>
</name>
<name>
<surname>Rahman</surname>
<given-names>Z.</given-names>
</name>
</person-group> (<year>2018</year>). <article-title>Does Financial Development Asymmetrically Affect CO2 Emissions in China? an Application of the Nonlinear Autoregressive Distributed Lag (NARDL) Model</article-title>. <source>Carbon Manag.</source> <volume>9</volume> (<issue>6</issue>), <fpage>631</fpage>&#x2013;<lpage>644</lpage>. <pub-id pub-id-type="doi">10.1080/17583004.2018.1529998</pub-id> </citation>
</ref>
<ref id="B5">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Ahmed</surname>
<given-names>Z.</given-names>
</name>
<name>
<surname>Wang</surname>
<given-names>Z.</given-names>
</name>
<name>
<surname>Ali</surname>
<given-names>S.</given-names>
</name>
</person-group> (<year>2019</year>). <article-title>Investigating the Non-linear Relationship between Urbanization and CO2 Emissions: an Empirical Analysis</article-title>. <source>Air Qual. Atmosphere Health</source> <volume>12</volume> (<issue>8</issue>), <fpage>945</fpage>&#x2013;<lpage>953</lpage>. <pub-id pub-id-type="doi">10.1007/s11869-019-00711-x</pub-id> </citation>
</ref>
<ref id="B13">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Awodumi</surname>
<given-names>O. B.</given-names>
</name>
<name>
<surname>Adewuyi</surname>
<given-names>A. O.</given-names>
</name>
</person-group> (<year>2020</year>). <article-title>The Role of Non-renewable Energy Consumption in Economic Growth and Carbon Emission: Evidence from Oil Producing Economies in Africa</article-title>. <source>Energ. Strategy Rev.</source> <volume>27</volume>, <fpage>100434</fpage>. <pub-id pub-id-type="doi">10.1016/j.esr.2019.100434</pub-id> </citation>
</ref>
<ref id="B15">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Baz</surname>
<given-names>K.</given-names>
</name>
<name>
<surname>Xu</surname>
<given-names>D.</given-names>
</name>
<name>
<surname>Ali</surname>
<given-names>H.</given-names>
</name>
<name>
<surname>Ali</surname>
<given-names>I.</given-names>
</name>
<name>
<surname>Khan</surname>
<given-names>I.</given-names>
</name>
<name>
<surname>Khan</surname>
<given-names>M. M.</given-names>
</name>
<etal/>
</person-group> (<year>2020</year>). <article-title>Asymmetric Impact of Energy Consumption and Economic Growth on Ecological Footprint: Using Asymmetric and Nonlinear Approach</article-title>. <source>Sci. Total Environ.</source> <volume>718</volume>, <fpage>137364</fpage>. <pub-id pub-id-type="doi">10.1016/j.scitotenv.2020.137364</pub-id> </citation>
</ref>
<ref id="B16">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Chen</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Wang</surname>
<given-names>Z.</given-names>
</name>
<name>
<surname>Zhong</surname>
<given-names>Z.</given-names>
</name>
</person-group> (<year>2019</year>). <article-title>CO2 Emissions, Economic Growth, Renewable and Non-renewable Energy Production and Foreign Trade in China</article-title>. <source>Renew. Energ.</source> <volume>131</volume>, <fpage>208</fpage>&#x2013;<lpage>216</lpage>. <pub-id pub-id-type="doi">10.1016/j.renene.2018.07.047</pub-id> </citation>
</ref>
<ref id="B17">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Cole</surname>
<given-names>M. A.</given-names>
</name>
<name>
<surname>Neumayer</surname>
<given-names>E.</given-names>
</name>
</person-group> (<year>2004</year>). <article-title>Examining the Impact of Demographic Factors on Air Pollution</article-title>. <source>Popul. Environ.</source> <volume>26</volume> (<issue>1</issue>), <fpage>5</fpage>&#x2013;<lpage>21</lpage>. <pub-id pub-id-type="doi">10.1023/b:poen.0000039950.85422.eb</pub-id> </citation>
</ref>
<ref id="B18">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Danish</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Shah</surname>
<given-names>B.</given-names>
</name>
<name>
<surname>Muhammad Awais</surname>
<given-names>L.</given-names>
</name>
</person-group> (<year>2018</year>). <article-title>The Nexus between Energy Consumption and Financial Development: Estimating the Role of Globalization in Next-11 Countries</article-title>. <source>Environ. Sci. Pollut. Res. Int.</source> <volume>25</volume> (<issue>19</issue>), <fpage>18651</fpage>&#x2013;<lpage>18661</lpage>. <pub-id pub-id-type="doi">10.1007/s11356-018-2069-0</pub-id> </citation>
</ref>
<ref id="B19">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Dou</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Han</surname>
<given-names>X.</given-names>
</name>
</person-group> (<year>2019</year>). <article-title>How Does the Industry Mobility Affect Pollution Industry Transfer in China: Empirical Test on Pollution haven Hypothesis and porter Hypothesis</article-title>. <source>J. Clean. Prod.</source> <volume>217</volume>, <fpage>105</fpage>&#x2013;<lpage>115</lpage>. <pub-id pub-id-type="doi">10.1016/j.jclepro.2019.01.147</pub-id> </citation>
</ref>
<ref id="B20">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Dumitrescu</surname>
<given-names>E. I.</given-names>
</name>
<name>
<surname>Hurlin</surname>
<given-names>C.</given-names>
</name>
</person-group> (<year>2012</year>). <article-title>Testing for granger Non-causality in Heterogeneous Panels</article-title>. <source>Econ. Model.</source> <volume>29</volume> (<issue>4</issue>), <fpage>1450</fpage>&#x2013;<lpage>1460</lpage>. <pub-id pub-id-type="doi">10.1016/j.econmod.2012.02.014</pub-id> </citation>
</ref>
<ref id="B23">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Elahi</surname>
<given-names>E.</given-names>
</name>
<name>
<surname>Khalid</surname>
<given-names>Z.</given-names>
</name>
<name>
<surname>Tauni</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Zhang</surname>
<given-names>H.</given-names>
</name>
<name>
<surname>Xing</surname>
<given-names>L.</given-names>
</name>
</person-group> (<year>2021</year>). <article-title>Extreme Weather Events Risk to Crop-Production and the Adaptation of Innovative Management Strategies to Mitigate the Risk: A Retrospective Survey of Rural Punjab</article-title>. <source>Pakistan. Technovation.</source> <pub-id pub-id-type="doi">10.1016/j.technovation.2021.102255</pub-id> </citation>
</ref>
<ref id="B24">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Elahi</surname>
<given-names>E.</given-names>
</name>
<name>
<surname>Khalid</surname>
<given-names>Z.</given-names>
</name>
<name>
<surname>Zhang</surname>
<given-names>X.</given-names>
</name>
</person-group> (<year>2022a</year>). <article-title>Understanding Farmers&#x2019; Intention and Willingness to Install Renewable Energy Technology: A Solution to Reduce the Environmental Emissions of Agriculture</article-title>. <source>Appl. Energ.</source> <volume>309</volume>, <fpage>1</fpage>. <comment>March</comment>. <pub-id pub-id-type="doi">10.1016/j.apenergy.2021.118459</pub-id> </citation>
</ref>
<ref id="B25">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Elahi</surname>
<given-names>E.</given-names>
</name>
<name>
<surname>Zhang</surname>
<given-names>X.</given-names>
</name>
<name>
<surname>Khalid</surname>
<given-names>Z.</given-names>
</name>
<name>
<surname>Xu</surname>
<given-names>H.</given-names>
</name>
</person-group> (<year>2022b</year>). <article-title>Application of an Artificial Neural Network to Optimise Energy Inputs: An Energy-And Cost-Saving Strategy for Commercial Poultry Farms</article-title>. <source>Energy</source> <volume>123169</volume>. <pub-id pub-id-type="doi">10.1016/j.energy.2022.123169</pub-id> </citation>
</ref>
<ref id="B26">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Erdogan</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Y&#x131;ld&#x131;r&#x131;m</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Y&#x131;ld&#x131;r&#x131;mal</surname>
<given-names>D. C&#xb8;et.</given-names>
</name>
</person-group> (<year>2020</year>). <article-title>The Effects of Innovation on Sectoral Carbon Emissions: Evidence from G20 Countries</article-title>. <source>J. Environ. Manage.</source> <volume>267</volume>, <fpage>110637</fpage>. </citation>
</ref>
<ref id="B27">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Festus</surname>
<given-names>V. B.</given-names>
</name>
<name>
<surname>Emir</surname>
<given-names>F.</given-names>
</name>
<name>
<surname>Samuel</surname>
<given-names>A.</given-names>
</name>
</person-group> (<year>2019</year>). <article-title>Another Look at the Relationship between Energy Consumption, Carbon Dioxide Emissions, and Economic Growth in South Africa</article-title>. <source>Sci. Total Environ.</source> <volume>655</volume>, <fpage>759</fpage>&#x2013;<lpage>765</lpage>. <pub-id pub-id-type="doi">10.1016/j.scitotenv.2018.11.271</pub-id> </citation>
</ref>
<ref id="B28">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Festus</surname>
<given-names>V. B.</given-names>
</name>
<name>
<surname>Gyamfi</surname>
<given-names>B.</given-names>
</name>
<name>
<surname>Agboola</surname>
<given-names>M.</given-names>
</name>
</person-group> (<year>2021a</year>). <article-title>Beyond the Environmental Kuznets Curve in E7 Economies: Accounting for the Combined Impacts of Institutional Quality and Renewables</article-title>. <source>J. Clean. Prod.</source> <volume>314</volume>, <fpage>127924</fpage>. <pub-id pub-id-type="doi">10.1016/j.jclepro.2021.127924</pub-id> </citation>
</ref>
<ref id="B29">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Festus</surname>
<given-names>V. B.</given-names>
</name>
<name>
<surname>Gyamfi</surname>
<given-names>B.</given-names>
</name>
<name>
<surname>Ruth</surname>
<given-names>O.</given-names>
</name>
<name>
<surname>Edmund</surname>
<given-names>N.</given-names>
</name>
</person-group> (<year>2021b</year>). <article-title>Tourism-induced Emission in Sub-saharan Africa: A Panel Study for Oil-Producing and Non-oil-producing Countries</article-title>. <source>Environ. Sci. Pollut. Res.</source> <pub-id pub-id-type="doi">10.1007/s11356-021-18262-z</pub-id> </citation>
</ref>
<ref id="B32">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Ibrahiem</surname>
<given-names>D. M.</given-names>
</name>
</person-group> (<year>2020</year>). <article-title>Do technological Innovations and Financial Development Improve Environmental Quality in Egypt?</article-title> <source>Environ. Sci. Pollut. Res.</source> <volume>27</volume>, <fpage>10869</fpage>&#x2013;<lpage>10881</lpage>. <pub-id pub-id-type="doi">10.1007/s11356-019-07585-7</pub-id> </citation>
</ref>
<ref id="B35">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Jun</surname>
<given-names>W.</given-names>
</name>
<name>
<surname>Zakaria</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Shahzad</surname>
<given-names>S. J. H.</given-names>
</name>
</person-group> (<year>2018</year>). <article-title>Effect of FDI on Pollution in China: New Insights Based on Wavelet Approach</article-title>. <source>Sustainability</source> <volume>10</volume> (<issue>11</issue>), <fpage>3859</fpage>. <pub-id pub-id-type="doi">10.3390/su10113859</pub-id> </citation>
</ref>
<ref id="B37">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Karasoy</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Akc&#xb8;ay</surname>
<given-names>S.</given-names>
</name>
</person-group> (<year>2019</year>). <article-title>Effects of Renewable Energy Consumption and Trade on Environmental Pollution: The Turkish Case</article-title>. <source>Manag. Environ. Qual. Int. J.</source> <volume>30</volume> (<issue>2</issue>), <fpage>437</fpage>&#x2013;<lpage>455</lpage>. <pub-id pub-id-type="doi">10.1108/meq-04-2018-0081</pub-id> </citation>
</ref>
<ref id="B38">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Karasoy</surname>
<given-names>A.</given-names>
</name>
</person-group> (<year>2019</year>). <article-title>Drivers of Carbon Emissions in Turkey: Considering Asymmetric Impacts</article-title>. <source>Environ. Sci. Pollut. Res. Int.</source> <volume>26</volume> (<issue>9</issue>), <fpage>9219</fpage>&#x2013;<lpage>9231</lpage>. <pub-id pub-id-type="doi">10.1007/s11356-019-04354-4</pub-id> </citation>
</ref>
<ref id="B40">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Mahmood</surname>
<given-names>H.</given-names>
</name>
<name>
<surname>Alkhateeb</surname>
<given-names>T.</given-names>
</name>
<name>
<surname>Al-Qahtani</surname>
<given-names>M.</given-names>
</name>
<etal/>
</person-group> (<year>2020</year>). <article-title>Energy Consumption, Economic Growth and Pollution in Saudi Arabia</article-title>. <source>Manag. Sci. Lett.</source> <volume>10</volume> (<issue>5</issue>), <fpage>979</fpage>&#x2013;<lpage>984</lpage>. <pub-id pub-id-type="doi">10.5267/j.msl.2019.11.013</pub-id> </citation>
</ref>
<ref id="B41">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Mardani</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Streimikiene</surname>
<given-names>D.</given-names>
</name>
<name>
<surname>Nilashi</surname>
<given-names>M.</given-names>
</name>
</person-group> (<year>2018</year>). <article-title>Energy Consumption, Economic Growth, and CO2 Emissions in G20 Countries: Application of Adaptive Neuro-Fuzzy Inference System</article-title>. <source>Energies</source> <volume>11</volume> (<issue>10</issue>). <pub-id pub-id-type="doi">10.3390/en11102771</pub-id> </citation>
</ref>
<ref id="B43">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Mert</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>B&#x20ac;olu&#xa8;</surname>
<given-names>k. G.</given-names>
</name>
<name>
<surname>C&#xb8; a_glar</surname>
<given-names>A. E.</given-names>
</name>
</person-group> (<year>2019</year>). <article-title>Interrelationships Among Foreign Direct Investments, Renewable Energy, and CO2 Emissions for Different European Country Groups: A Panel ARDL Approach</article-title>. <source>Environ. Sci. Pollut. Res. Int.</source> <volume>26</volume> (<issue>21</issue>), <fpage>21495</fpage>&#x2013;<lpage>21510</lpage>. <pub-id pub-id-type="doi">10.1007/s11356-019-05415-4</pub-id> </citation>
</ref>
<ref id="B44">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Moghadam</surname>
<given-names>H.</given-names>
</name>
<name>
<surname>Dehbashi</surname>
<given-names>V.</given-names>
</name>
</person-group> (<year>2018</year>). <source>The impact of financial development and trade on environmental quality in IranEmpirical Economics</source>. <source>Springer</source> <volume>54</volume> (<issue>4</issue>), <fpage>1777</fpage>&#x2013;<lpage>1799</lpage>. <pub-id pub-id-type="doi">10.1007/s00181-017-1266-x</pub-id> </citation>
</ref>
<ref id="B45">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Musah</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Kong</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Mensah</surname>
<given-names>I. A.</given-names>
</name>
</person-group> (<year>2020a</year>). <article-title>The Link between Carbon Emissions, Renewable Energy Consumption, and Economic Growth: A Heterogeneous Panel Evidence from West Africa</article-title>. <source>Environ. Sci. Pollut. Res. Int.</source> <volume>27</volume> (<issue>23</issue>), <fpage>28867</fpage>&#x2013;<lpage>28889</lpage>. <pub-id pub-id-type="doi">10.1007/s11356-020-08488-8</pub-id> </citation>
</ref>
<ref id="B46">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Musah</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Kong</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Xuan</surname>
<given-names>V. V.</given-names>
</name>
</person-group> (<year>2020b</year>). <article-title>Predictors of Carbon Emissions: An Empirical Evidence from NAFTA Countries</article-title>. <source>Environ. Sci. Pollut. Res</source>, <fpage>1</fpage> &#x2013;<lpage>19</lpage>. <pub-id pub-id-type="doi">10.1007/s11356-020-11197-x</pub-id> </citation>
</ref>
<ref id="B47">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Nkengfack</surname>
<given-names>H.</given-names>
</name>
<name>
<surname>Kaffo</surname>
<given-names>F. H.</given-names>
</name>
</person-group> (<year>2019</year>). <article-title>Energy Consumption, Economic Growth and Carbon Emissions: Evidence from the Top Three Emitters in Africa</article-title>. <source>Mod. Economy</source> <volume>10</volume> (<issue>01</issue>), <fpage>52</fpage>&#x2013;<lpage>71</lpage>. <pub-id pub-id-type="doi">10.4236/me.2019.101004</pub-id> </citation>
</ref>
<ref id="B48">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>O&#x2019;Ryan</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>Nasirov</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Alvarez-Espinosa</surname>
<given-names>A.</given-names>
</name>
</person-group> (<year>2020</year>). <article-title>Renewable Energy Expansion in the Chilean Power Market: A Dynamic General Equilibrium Modeling Approach to Determine CO2 Emission Baselines</article-title>. <source>J. Clean. Prod.</source> <volume>247</volume>, <fpage>119645</fpage>. <pub-id pub-id-type="doi">10.1016/j.jclepro.2019.119645</pub-id> </citation>
</ref>
<ref id="B49">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Ozturk</surname>
<given-names>I.</given-names>
</name>
<name>
<surname>Al-Mulali</surname>
<given-names>U.</given-names>
</name>
<name>
<surname>Saboori</surname>
<given-names>B.</given-names>
</name>
</person-group> (<year>2016</year>). <article-title>Investigating the Environmental Kuznets Curve Hypothesis: the Role of Tourism and Ecological Footprint</article-title>. <source>Environ. Sci. Pollut. Res.</source> <volume>23</volume> (<issue>2</issue>), <fpage>1916</fpage>&#x2013;<lpage>1928</lpage>. <pub-id pub-id-type="doi">10.1007/s11356-015-5447-x</pub-id> </citation>
</ref>
<ref id="B50">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Park</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Hong</surname>
<given-names>T.</given-names>
</name>
</person-group> (<year>2013</year>). <article-title>Analysis of South Korea&#x2019;s Economic Growth, Carbon Dioxide Emission, and Energy Consumption Using the Markov Switching Model</article-title>. <source>Renew. Sustain. Energ. Rev.</source> <volume>18</volume>, <fpage>543</fpage>&#x2013;<lpage>551</lpage>. <pub-id pub-id-type="doi">10.1016/j.rser.2012.11.003</pub-id> </citation>
</ref>
<ref id="B51">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Pata</surname>
<given-names>U. K.</given-names>
</name>
</person-group> (<year>2018</year>). <article-title>Renewable Energy Consumption, Urbanization, Financial Development, Income and CO2 Emissions in Turkey: Testing EKC Hypothesis with Structural Breaks</article-title>. <source>J. Clean. Prod.</source> <volume>187</volume>, <fpage>770</fpage>&#x2013;<lpage>779</lpage>. <pub-id pub-id-type="doi">10.1016/j.jclepro.2018.03.236</pub-id> </citation>
</ref>
<ref id="B52">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Pesaran</surname>
<given-names>M. H.</given-names>
</name>
</person-group> (<year>2006</year>). <article-title>Estimation and Inference in Large Heterogenous Panels with Multifactor Error Structure</article-title>. <source>Econometrica</source> <volume>74</volume> (<issue>4</issue>), <fpage>967</fpage>&#x2013;<lpage>1012</lpage>. <pub-id pub-id-type="doi">10.1111/j.1468-0262.2006.00692.x</pub-id> </citation>
</ref>
<ref id="B55">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Samour</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Isiksal</surname>
<given-names>A. Z.</given-names>
</name>
<name>
<surname>Resatoglu</surname>
<given-names>N. G.</given-names>
</name>
</person-group> (<year>2019</year>). <article-title>Testing the Impact of Banking Sector Development on Turkey&#x2019;s CO2 Emissions</article-title>. <source>Appl. Ecol. Environ. Res.</source> <volume>17</volume> (<issue>3</issue>), <fpage>6497</fpage>&#x2013;<lpage>6513</lpage>. <pub-id pub-id-type="doi">10.15666/aeer/1703_64976513</pub-id> </citation>
</ref>
<ref id="B56">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Sarkodie</surname>
<given-names>S. A.</given-names>
</name>
<name>
<surname>Adams</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Owusu</surname>
<given-names>P. A.</given-names>
</name>
<name>
<surname>Leirvik</surname>
<given-names>T.</given-names>
</name>
<name>
<surname>Ozturk</surname>
<given-names>I.</given-names>
</name>
</person-group> (<year>2020</year>). <article-title>Mitigating Degradation and Emissions in China: the Role of Environmental Sustainability, Human Capital and Renewable Energy</article-title>. <source>Sci. Total Environ.</source> <volume>719</volume> (<issue>137530</issue>), <fpage>2</fpage>&#x2013;<lpage>14</lpage>. <pub-id pub-id-type="doi">10.1016/j.scitotenv.2020.137530</pub-id> </citation>
</ref>
<ref id="B58">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Seyi</surname>
<given-names>S. A.</given-names>
</name>
<name>
<surname>Alola</surname>
<given-names>A. A.</given-names>
</name>
<name>
<surname>Etokakpan</surname>
<given-names>M.</given-names>
</name>
</person-group> (<year>2020</year>). <article-title>Does Electricity Consumption and Globalization Increase Pollutant Emissions? Implications for Environmental Sustainability Target for China</article-title>. <source>Environ. Sci. Pollut. Res.</source> (<issue>27</issue>), <fpage>25450</fpage>&#x2013;<lpage>25460</lpage>. <pub-id pub-id-type="doi">10.1007/s11356-020-08784-3</pub-id> </citation>
</ref>
<ref id="B59">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Shahbaz</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Hye</surname>
<given-names>Q. M. A.</given-names>
</name>
<name>
<surname>Tiwari</surname>
<given-names>A. K.</given-names>
</name>
<etal/>
</person-group> (<year>2013</year>). <article-title>Economic Growth, Energy Consumption, Financial Development, International Trade and CO2 Emissions in Indonesia</article-title>. <source>Renew. Sustain. Energ. Rev.</source> <volume>25</volume>, <fpage>109</fpage>&#x2013;<lpage>121</lpage>. <pub-id pub-id-type="doi">10.1016/j.rser.2013.04.009</pub-id> </citation>
</ref>
<ref id="B60">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Sun</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Duru</surname>
<given-names>O. A.</given-names>
</name>
<name>
<surname>Razzaq</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Dinca</surname>
<given-names>M. S.</given-names>
</name>
</person-group> (<year>2021</year>). <article-title>The Asymmetric Effect Ecoinnovation and Tourism towards Carbon Neutrality Target in Turkey</article-title>. <source>J. Environ. Manag.</source> <volume>299</volume>, <fpage>113653</fpage>. <pub-id pub-id-type="doi">10.1016/j.jenvman.2021.113653</pub-id> </citation>
</ref>
<ref id="B61">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Waheed</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>Sarwar</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Chen</surname>
<given-names>W.</given-names>
</name>
</person-group> (<year>2019</year>). <article-title>The Survey of Economic Growth, Energy Consumption and Carbon Emission</article-title>. <source>Energy Rep.</source> <volume>5</volume>, <fpage>1103</fpage>&#x2013;<lpage>1115</lpage>. <pub-id pub-id-type="doi">10.1016/j.egyr.2019.07.006</pub-id> </citation>
</ref>
<ref id="B62">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Xu</surname>
<given-names>B.</given-names>
</name>
<name>
<surname>Zhong</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>Qiao</surname>
<given-names>H.</given-names>
</name>
</person-group> (<year>2020</year>). <article-title>The Impact of Biofuel Consumption on CO2 Emissions: A Panel Data Analysis for Seven Selected G20 Countries</article-title>. <source>Energ. Environ.</source> <volume>31</volume> (<issue>8</issue>), <fpage>15426</fpage>. <pub-id pub-id-type="doi">10.1177/0958305X20915426</pub-id> </citation>
</ref>
<ref id="B63">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Xu</surname>
<given-names>Z.</given-names>
</name>
<name>
<surname>Baloch</surname>
<given-names>M. A.</given-names>
</name>
<name>
<surname>Meng</surname>
<given-names>F.</given-names>
</name>
<etal/>
</person-group> (<year>2018</year>). <article-title>Nexus between Financial Development and CO2 Emissions in Saudi Arabia: Analyzing the Role of Globalization</article-title>. <source>Environ. Sci. Pollut. Res.</source> <volume>25</volume> (<issue>28</issue>), <fpage>28378</fpage>&#x2013;<lpage>28390</lpage>. <pub-id pub-id-type="doi">10.1007/s11356-018-2876-3</pub-id> </citation>
</ref>
</ref-list>
</back>
</article>