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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">769608</article-id>
<article-id pub-id-type="doi">10.3389/fenvs.2021.769608</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Environmental Science</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>RETRACTED: Assessing the Role of Environmental Expenditures and Green Transport in Emissions Released by Transport: An Application of ARDL Approach</article-title>
<alt-title alt-title-type="left-running-head">Hussain et al.</alt-title>
<alt-title alt-title-type="right-running-head">Green Transport</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Hussain</surname>
<given-names>Zahid</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1496716/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Miao</surname>
<given-names>Cuifen</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Zhang</surname>
<given-names>Weitu</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Khan</surname>
<given-names>Muhammad Kaleem</given-names>
</name>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1450971/overview"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Xia</surname>
<given-names>Zhiqing</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
</contrib>
</contrib-group>
<aff id="aff1">
<sup>1</sup>
<institution>School of Finance, Qilu University of Technology (Shandong Academy of Sciences)</institution>, <addr-line>Jinan</addr-line>, <country>China</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>National Institute of International Strategy, Chinese Academy of Social Sciences</institution>, <addr-line>Beijing</addr-line>, <country>China</country>
</aff>
<aff id="aff3">
<sup>3</sup>
<institution>School of Economics and Management, East China Jiao tong University</institution>, <addr-line>Nanchang</addr-line>, <country>China</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>
<bold>Edited by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1170919/overview">Umer Shahzad</ext-link>, Anhui University of Finance and Economics, 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/1482794/overview">Diogo Ferraz</ext-link>, Universidade Federal de Ouro Preto, Brazil</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1470602/overview">Tuhin Sengupta</ext-link>, Indian Institute of Management Ranchi, India</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1485090/overview">Rida Waheed</ext-link>, Jeddah University, Saudi Arabia</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Zhiqing Xia, <email>xiazhiqing@hotmail.com</email>
</corresp>
<fn fn-type="other">
<p>This article was submitted to Environmental Economics and Management, a section of the journal Frontiers in Environmental Science</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>12</day>
<month>11</month>
<year>2021</year>
</pub-date>
<pub-date pub-type="eretracted">
<day>07</day>
<month>08</month>
<year>2025</year>
</pub-date>
<pub-date pub-type="collection">
<year>2021</year>
</pub-date>
<volume>9</volume>
<elocation-id>769608</elocation-id>
<history>
<date date-type="received">
<day>02</day>
<month>09</month>
<year>2021</year>
</date>
<date date-type="accepted">
<day>08</day>
<month>10</month>
<year>2021</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2021 Hussain, Miao, Zhang, Khan and Xia.</copyright-statement>
<copyright-year>2021</copyright-year>
<copyright-holder>Hussain, Miao, Zhang, Khan and Xia</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>This study investigates the effects of transport and environmental factors on transport carbon dioxide emissions (TCO<sub>2</sub>). It employs cross-sectional autoregressive distributed lags for the estimation in the short and long runs and examines the panel time-series data from 2000 to 2020 in the OECD countries. This method allows heterogeneity in the dependencies and slope parameters across the countries. The results demonstrate that road and railway traffic movements increase the amount of TCO<sub>2</sub> in the short and long runs. In addition, transport energy consumption is the driving factor in releasing TCO<sub>2</sub> in the long run. Moreover, the joint effect of locomotives and transport energy consumption significantly reduces TCO<sub>2</sub> in the short run. By contrast, the findings support the argument that environmental expenditures and green transport mitigate TCO<sub>2</sub> in the long run. The findings also show an inverted u-shaped relationship between TCO<sub>2</sub> and transport energy consumption. With the empirical findings as a basis, we suggest that the OECD countries should reduce traffic movements and enhance the environmental expenditures so that they may produce green transport vehicles to combat environmental issues.</p>
</abstract>
<kwd-group>
<kwd>traffic</kwd>
<kwd>transport energy consumption</kwd>
<kwd>environmental expenditures</kwd>
<kwd>green transport</kwd>
<kwd>OECD</kwd>
</kwd-group>
</article-meta>
</front>
<body>
<sec id="s1">
<title>Introduction</title>
<p>The transport sector has gained great attention owing to concern over environment quality. Environment quality is deteriorating because of carbon dioxide (CO<sub>2</sub>) emissions, the most critical challenge for countries (<xref ref-type="bibr" rid="B2">Ahmad et al., 2021</xref>). The transport sector is a major contributor to CO<sub>2</sub> emissions, accounting for approximately 23% (<xref ref-type="bibr" rid="B53">Seum et al., 2020</xref>; <xref ref-type="bibr" rid="B5">Churchill et al., 2021</xref>; <xref ref-type="bibr" rid="B57">Sohail et al., 2021</xref>). Globally, CO<sub>2</sub> emissions from the transport sector will increase to nearly 60% by 2050 in the absence of effective mitigation measures (<xref ref-type="bibr" rid="B27">ITF, 2019</xref>). IEA (2019) also reports that approximately one-third of global CO<sub>2</sub> emissions are from the transport sector. Several economic activities such as wide-range development of transport infrastructure, traffic movement of vehicles, population growth, and economic growth have enhanced demand for transport vehicles, which indicate critical threats to sustainable development.</p>
<p>The transport energy consumption in the OECD countries is projected to reach an average rate of 1.2% from 2012 to 2040. Nevertheless, the patterns of transport energy consumption in the OECD countries are well established with vehicle efficiency improvements (<xref ref-type="bibr" rid="B12">Conti et al., 2016</xref>). Energy is the most important factor for economic development, particularly in the transport sector (movement of passengers and freights), and the prime reason for environment deterioration. The association between transport, energy use, environment and economic development has been considered a debatable topic in the current century (<xref ref-type="bibr" rid="B36">Mehmood 2021</xref>; <xref ref-type="bibr" rid="B17">Habib et al., 2021</xref>; <xref ref-type="bibr" rid="B59">Tan et al., 2021</xref>).</p>
<p>Traffic movements are also creating challenges for the transport sector and the environment. The passenger- and freight-intensive movements resulted in trillion trips per annum, which increase the demand for locomotives (vehicles). These movements and locomotives substantially contribute to CO<sub>2</sub> emissions (<xref ref-type="bibr" rid="B18">Hadavi et al., 2020</xref>). <xref ref-type="bibr" rid="B64">Verlinghieri. (2020)</xref> argues that traffic movements indirectly affect CO<sub>2</sub> emissions through the usage of road and railway locomotives. Likewise, <xref ref-type="bibr" rid="B22">Heinold. (2020)</xref> asserts that road and railway locomotives produce a substantial amount of CO<sub>2</sub> emissions through energy consumption.</p>
<p>Considerable literature examines the different scenarios of transport modes with regard to CO<sub>2</sub> emissions. We seek to answer the following questions: What is the effect of traffic movements and transport energy consumption on CO<sub>2</sub> emissions? Do green transport and environmental expenditures affect CO<sub>2</sub> emissions?</p>
<p>This study concentrates on the OECD countries for a number of several reasons. First, the OECD countries are high-income economies that significantly contribute to the global economy, with approximately 42.8% of GDP at purchasing power parity. Second, the OECD countries are responsible for producing CO<sub>2</sub> emissions, and their transport energy consumption increases at an average rate of 1.4% per annum (from 104 quadrillion Btu to 155 quadrillion Btu) from 2012 to 2040. Furthermore, 55% of global transport energy consumption is by the OECD countries, whereas non-OECD countries account for around 45% (IEA, 2019). Third, the OECD countries are knowledge-based economies <xref ref-type="bibr" rid="B40">OECD. (2018)</xref>. Billion trips of passengers and freights are made per year, which lead to traffic movements. Usually, traffic movements for international economic activities are toward the OECD countries. Fourth, the OECD countries are serious in controlling the emissions and improving environment quality. They are spending a larger amount of GDP for mitigating CO2 emissions (<xref ref-type="bibr" rid="B48">Petrovi&#x107; and Lobanov, 2020</xref>). Fifth, the OECD countries are shifting their transport resources from carbon transport to green transport (e.g. electric vehicles). Therefore, regardless of the determinants of CO<sub>2</sub> emissions, whether and how transport energy consumption and green transport affect the association between CO<sub>2</sub> emissions and traffic movements, locomotives and environmental government budget remains a gap in the literature. Acknowledging the influence of traffic movements and green transport on CO<sub>2</sub> emissions in OECD countries is imperative to identify policy implications for sustainable transport policies (<xref ref-type="bibr" rid="B37">Rafique et al., 2022</xref>; <xref ref-type="bibr" rid="B55">Shahzad et al., 2021</xref>; <xref ref-type="bibr" rid="B39">OECD</xref>).</p>
<p>This study motivates by making numerous contributions to the literature. First, this study does not only investigate the linear effect of transport energy consumption on transport CO<sub>2</sub> emissions (TCO<sub>2</sub>) but also analyzes the nonlinear effect. Second, this study examines the joint effect of transport energy consumption and locomotives on TCO<sub>2.</sub> Third, this study provides insights into the relationship between traffic movements and TCO<sub>2</sub>. Fourth, we explore the effect of environmental research and development expenditures (ERDE) on TCO<sub>2</sub> and the joint effect of ERDE and environmental taxes on TCO<sub>2.</sub> In addition, this study examines whether green transport significantly affects TCO<sub>2.</sub> Fifth, this study makes methodological contribution by applying the cross-sectional autoregressive distributed lags (CS-ARDL) model to examine the relationship between traffic movements, transport energy consumption, ERDE, and green transport on TCO<sub>2</sub>. In the presence of cross-dependency, heterogeneity, endogeneity problem, nonstationarity, and misspecification bias, the CS-ARDL is a robust method (<xref ref-type="bibr" rid="B72">Zeqiraj et al., 2020</xref>). For robustness check, we use a common correlated effects mean group (CCEMG) approach.</p>
<p>The structure of this article is described as follows. Previous studies are presented in <xref ref-type="sec" rid="s2">section 2</xref>. <xref ref-type="sec" rid="s3">Section 3</xref> provides the theoretical framework, data source, and methodology. The empirical results and discussions are given in <xref ref-type="sec" rid="s4">section 4</xref>. Last, <xref ref-type="sec" rid="s5">section 5</xref> summarizes the conclusions and policy implications.</p>
</sec>
<sec id="s2">
<title>Literature Review</title>
<p>Several decades take into account the attention on climate change and accelerating the degradation of environmental quality, which are the most critical challenges and big threat for the world. Under such circumstances, the governments need to acknowledge the importance of environmental issues and put into practice to counteract them. Therefore, the reasons behind those human activities are being executed e.g., economic growth, trade, energy use, urbanization, and so on. These activities cause environmental issues pertaining to global warming and climate change. For instance, enormous productivity of greenhouse gases (especially CO<sub>2</sub> emissions) is increasing the global temperature, pollution, and degrading the natural resources. Consequently, environment quality is being drastically deteriorated over the time period (<xref ref-type="bibr" rid="B54">Shahzad et al., 2020</xref>; <xref ref-type="bibr" rid="B49">Polloni-Silva et al., 2021</xref>; <xref ref-type="bibr" rid="B49">Polloni-Silva et al., 2021</xref>). Thus, we move to debate on association between transport sector and environment as follows.</p>
<p>Transportation has a significant effect on CO<sub>2</sub> emissions around the world. Transport and the environment can be studied in different ways. Generally, the growth of the transport sector has resulted in environment quality costs. Studies show that the environmental effects from the transport sector vary depending on transportation methods and regulations.</p>
<p>Recently, substantial research on the association between environment and transport has gained much attention. <xref ref-type="bibr" rid="B5">Churchill et al. (2021)</xref> research the effect of transport infrastructure on CO<sub>2</sub> emissions using parametric and nonparametric approaches for a panel of OECD countries. Their findings confirm that a 1% increase in transport infrastructure is associated with a 0.4% increase in CO<sub>2</sub> emissions. Furthermore, nonparametric estimation suggests a time-varying relationship between transport infrastructure and CO<sub>2</sub> emissions, which is positive throughout World War II and up until now. From a critique perspective, transport infrastructure (e.g., construction of road, railway, and airport) is not the only one responsible for CO<sub>2</sub> emissions. Traffic activities also play a significant role in the emissions. Thus, this study includes traffic activities (e.g. movement and locomotives) in analyzing the effect on emissions released by the transport sector.</p>
<p>Subsequently, <xref ref-type="bibr" rid="B3">&#xc1;ngel et al. (2021)</xref> focus on the relationship between road transport and CO<sub>2</sub> emissions in 22 European countries. Their results unveil that the transport sector is releasing CO<sub>2</sub> emissions that account for approximately 27% of the total emissions. Furthermore, road TCO<sub>2</sub> are almost entirely determined by (fossil) fuel consumption. Hence, energy use is the main determinant in CO<sub>2</sub> emissions, particularly the transport sector. Another explanation by <xref ref-type="bibr" rid="B42">Pani et al. (2021)</xref> also reports that freight transport upsurges the greenhouse emissions in the largest countries. The reason is that truck vehicles for forwarding the shipments stimulate the energy demand. Consequently, CO<sub>2</sub> emissions are released and deteriorate the environment quality. Similarly, <xref ref-type="bibr" rid="B7">Cardenete and L&#xf3;pez-Cabaco. (2021)</xref> document that transport of cargo is the most effective factor and that more than 30% of all modes of transport contribute to CO<sub>2</sub> emissions in Spain. Likewise, <xref ref-type="bibr" rid="B4">Arvin et al. (2021)</xref> analyze the correlation between and energy consumption in Germany. The fuel (e.g. gasoline and diesel) used in the transport vehicles upsurges CO<sub>2</sub> emissions through traffic locomotives.</p>
<p>Another evidence documented by <xref ref-type="bibr" rid="B63">Umar et al. (2021)</xref> highlights the effects of biomass energy consumption and fossil fuel energy consumption on CO<sub>2</sub> emissions in the transport sector in the United States. They find that fossil fuel energy has a positive and significant effect on CO<sub>2</sub> emissions released by the transport sector. Biomass energy consumption is negatively associated with CO<sub>2</sub> emissions though. Furthermore, they note an inverted U-shaped relationship between energy consumption and CO<sub>2</sub> emissions.</p>
<p>By contrast, <xref ref-type="bibr" rid="B24">Hussain et al. (2020)</xref> document that climate change potential (CO<sub>2</sub> emissions) has a negative association with transport infrastructure. Nonetheless, development infrastructure is also a driving factor of CO<sub>2</sub> emissions. Interestingly, extreme climate change potential reduces transport activities through critical infrastructure. Transport emissions are also investigated by Ahmed et al. (2020). Their results confirm that energy consumption in economic growth and the road sector increases emissions.</p>
<p>In support of mitigating CO<sub>2</sub> emissions, <xref ref-type="bibr" rid="B57">Sohail et al. (2021)</xref> emphasize the association between green transport and environment. They find that green transport is the better strategy to reduce CO<sub>2</sub> emissions. Electric vehicles reduce the demand for fossil energy consumption whilst increasing electricity demand. However, electricity shortage issues occur in the market. In this situation, resources are shifted from fossil energy to electric vehicles. Consequently, CO<sub>2</sub> emissions by the transport sector tend to decrease.</p>
<p>Another study supports green transport aimed at reducing the CO<sub>2</sub> emissions. <xref ref-type="bibr" rid="B41">Oryani et al. (2021)</xref> argue that renewable electric vehicles are supported to reduce CO<sub>2</sub> emissions per capita. A substantial reduction in CO<sub>2</sub> emissions is possible by shifting internal combustible engine vehicles to alternative fuel vehicles.</p>
<p>Moreover, some studies provide evidence for reducing CO<sub>2</sub> emissions through environmental tax channels. For instance, <xref ref-type="bibr" rid="B6">Bergantino et al. (2021)</xref> analyze the effect of taxes on CO<sub>2</sub> emissions to improve environment quality. They argue that taxes on cars decrease CO<sub>2</sub> emissions because demand for and supply of cars decline simultaneously in the market. Consequently, an increase in sharing of cars reduces CO<sub>2</sub> emissions. <xref ref-type="bibr" rid="B29">Khastar et al. (2020)</xref> also point out that an adequate environmental tax level poses a mitigating effect on CO<sub>2</sub> emissions in the European Union countries. Furthermore, <xref ref-type="bibr" rid="B62">Rea&#xf1;os (2020)</xref> argue that carbon tax has a significant effect on CO<sub>2</sub> emissions. To reduce CO<sub>2</sub> emissions, carbon taxes need to be imposed (at least 30 Euros per tonne of CO<sub>2</sub> emissions) on vehicle owners. Price elasticities suggest that additional carbon taxes may stimulate vehicle owners toward intense energy consumption.</p>
<p>
<xref ref-type="bibr" rid="B34">Mariano et al. (2016)</xref> evaluated the efficiency analysis on the transport logistics performance. They used a nonparametric approach e.g., slacks-based measure of the data envelopment analysis (DEA) with CO<sub>2</sub> emissions (treated as an input) and seven outputs e.g., GDP and six LPI components (treated as an output). Furthermore, window analysis and Malmquist index are also employed to evaluate the efficiency levels over the time. In addition, the DEA technique is based on mathematical foundation and has no specific assumption for analysis. It does not estimate the short-run and long-run relationships between the variables. In contrast, this study focuses on econometric approaches that have specific assumptions for analysis, and examines the short-run and long-run relationships between the variables e.g., transport carbon emissions, traffic, environmental expenditures, and green transport, used in this model.</p>
<p>Extant literature also considers the effect of environmental R&#x26;D on CO<sub>2</sub> emissions released from the transport sector. Substantial research proves that R&#x26;D supports the reduction of CO2 emissions and improvement of environment quality. In this context, <xref ref-type="bibr" rid="B48">Petrovi&#x107; and Lobanov et al. (2020)</xref> report that the average effect of R&#x26;D is negatively associated with CO<sub>2</sub> emissions in the OECD countries. On average, a 0.15% decrease in CO<sub>2</sub> emissions is due to a 1% increase in R&#x26;D expenditures. Their results confirm that a higher level of R&#x26;D expenditures can reduce CO<sub>2</sub> emissions, but it does not apply to 40% of countries owing to scarce resources. <xref ref-type="bibr" rid="B66">Wang and Zhang. (2020)</xref> also find that a 1% increase in R&#x26;D expenditures reduces CO<sub>2</sub> emissions by 0.8122% in the BRICS countries.</p>
<p>The research on the association between traffic movements and locomotives must be considered in panoramic aspects. Besides, the joint effect of transport energy consumption and traffic locomotives remains unexplored. The nonlinear effect of transport energy consumption is ignored in the previous literature as well. In addition, the nexus between TCO<sub>2</sub> and traffic, transport energy consumption, ERDE, and green transport frequently neglects the potential heterogeneity and cross-sectional dependence. Consequently, a substantial gap exists in the prevailing literature. Therefore, the wide indicators of traffic, environmental expenditures, and green transport should be explored with different methods.</p>
</sec>
<sec sec-type="methods" id="s3">
<title>Methodology</title>
<sec id="s3-1">
<title>Theoretical Framework</title>
<p>After reviewing the literature, we develop the theoretical framework to investigate the relationship between the concerned variables. <xref ref-type="fig" rid="F1">Figure 1</xref> illuminates that traffic is intensely associated with CO<sub>2</sub> emissions. Traffic affects CO<sub>2</sub> emissions through movements and locomotives. Specifically, road and railway movements (e.g., passengers and freight) are indirectly associated with CO<sub>2</sub> emissions. Therefore, road and railway movements happen through locomotives (which require energy and transport-related resources). Consequently, CO<sub>2</sub> emissions are released. In addition, transport energy consumption is investigated in this analysis. Transport energy consumption directly influences CO<sub>2</sub> emissions.</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>Theoretical framework.</p>
</caption>
<graphic xlink:href="fenvs-09-769608-g001.tif"/>
</fig>
<p>The empirical model can be estimated as follows:<disp-formula id="e1">
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<mml:mtext>&#x3b5;</mml:mtext>
<mml:mrow>
<mml:mtext>it</mml:mtext>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
<label>(1)</label>
</disp-formula>
</p>
<p>
<xref ref-type="disp-formula" rid="e1">Eq. 1</xref> indicates that TCO<sub>2</sub> is a function of road movement, railway movement, road locomotive, railway locomotive, transport energy consumption, interaction of locomotive and transport energy consumption, and square of transport energy consumption. In addition, cross-sections are denoted by &#x201c;<italic>i</italic>&#x201d; (e.g. 35 OECD countries), whereas &#x201c;<italic>t</italic>&#x201d; represents the period from 2000 to 2020. The term &#x201c;<inline-formula id="inf1">
<mml:math id="m2">
<mml:mrow>
<mml:msup>
<mml:mi>&#x3b2;</mml:mi>
<mml:mo>&#x27;</mml:mo>
</mml:msup>
<mml:mi>s</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>&#x201d; indicates the intercept and parameters, whereas the error term is denoted by <inline-formula id="inf2">
<mml:math id="m3">
<mml:mrow>
<mml:mo>&#x2018;</mml:mo>
<mml:mi>&#x3b5;</mml:mi>
<mml:mo>&#x2019;</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula>. TCO<sub>2</sub> represents the TCO<sub>2</sub> measured in tons per year. ROADMOV indicates road movement that is defined as passenger and freight traveled distance per year. Likewise, RAILMOV represents the railway movement of the passengers and freight traveled distance per year. ROADLOCO indicates that locomotive (i.e. truck per year). RAILLOCO also represents the locomotive related to railway (i.e. freight coaches). ECT shows that transport energy consumption is in terms of tons. Specifically, it is the total energy (i.e. fuel, petrol, and diesel) consumed by the road and railway vehicles and locomotives in terms of tons per year. The quadratic term of transport energy consumption is used to examine whether CO<sub>2</sub> emissions reduce once transport energy consumption achieves a threshold level. The joint effect of locomotive and transport energy consumption is denoted by the interaction term (LOCO&#x2a;ECT).</p>
<p>The previous argument shows that road movement is expected to have a positive effect on TCO<sub>2</sub> <inline-formula id="inf3">
<mml:math id="m4">
<mml:mrow>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b2;</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mo>&#x2202;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mtext>TCO</mml:mtext>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2202;</mml:mo>
<mml:mtext>ROADMOV</mml:mtext>
</mml:mrow>
</mml:mfrac>
<mml:mo>&#x3e;</mml:mo>
<mml:mn>0</mml:mn>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula>. Likewise, railway movement plays a crucial role in releasing TCO<sub>2</sub>. A larger volume of freight (million kilogram) is moved to different locations. Hence, railway movement is predicted to have a positive effect on TCO<sub>2</sub> <inline-formula id="inf4">
<mml:math id="m5">
<mml:mrow>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b2;</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mo>&#x2202;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mtext>TCO</mml:mtext>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2202;</mml:mo>
<mml:mtext>ROAILMOV</mml:mtext>
</mml:mrow>
</mml:mfrac>
<mml:mo>&#x3e;</mml:mo>
<mml:mn>0</mml:mn>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula>. The road locomotives (e.g., traction engine and diesel engine) extensively move due to a larger amount of passengers and freights. Thus, it is also predicted to have a positive effect on TCO<sub>2</sub> <inline-formula id="inf5">
<mml:math id="m6">
<mml:mrow>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b2;</mml:mi>
<mml:mn>3</mml:mn>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mo>&#x2202;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mtext>TCO</mml:mtext>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2202;</mml:mo>
<mml:mtext>ROADLOCO</mml:mtext>
</mml:mrow>
</mml:mfrac>
<mml:mo>&#x3e;</mml:mo>
<mml:mn>0</mml:mn>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula>. The rail locomotives (e.g., steam engine and diesel engine) substantially contribute to CO<sub>2</sub> emissions released by the transport sector (<xref ref-type="bibr" rid="B11">Cipek et al., 2021</xref>). Therefore, rail locomotive is anticipated to have a negative effect on TCO<sub>2</sub> <inline-formula id="inf6">
<mml:math id="m7">
<mml:mrow>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b2;</mml:mi>
<mml:mn>4</mml:mn>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mo>&#x2202;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mtext>TCO</mml:mtext>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2202;</mml:mo>
<mml:mtext>RAILLOCO</mml:mtext>
</mml:mrow>
</mml:mfrac>
<mml:mo>&#x3e;</mml:mo>
<mml:mn>0</mml:mn>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula>. <xref ref-type="bibr" rid="B35">Mehmood. (2021)</xref> argues that energy consumption in the transport sector is a crucial factor in releasing CO<sub>2</sub> emissions, and it is also anticipated to have a positive effect on CO<sub>2</sub> emissions <inline-formula id="inf7">
<mml:math id="m8">
<mml:mrow>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b2;</mml:mi>
<mml:mn>5</mml:mn>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mo>&#x2202;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mtext>TCO</mml:mtext>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2202;</mml:mo>
<mml:mtext>ECT</mml:mtext>
</mml:mrow>
</mml:mfrac>
<mml:mo>&#x3e;</mml:mo>
<mml:mn>0</mml:mn>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula>.<disp-formula id="e2">
<mml:math id="m9">
<mml:mrow>
<mml:mtext>TCO</mml:mtext>
<mml:msub>
<mml:mn>2</mml:mn>
<mml:mrow>
<mml:mtext>it</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mtext>&#x3b2;</mml:mtext>
<mml:mn>0</mml:mn>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mtext>&#x3b2;</mml:mtext>
<mml:mn>1</mml:mn>
</mml:msub>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mtext>ROADMOV</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mtext>it</mml:mtext>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mtext>&#x3b2;</mml:mtext>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mtext>RAILMOV</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mtext>it</mml:mtext>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mtext>&#x3b2;</mml:mtext>
<mml:mn>3</mml:mn>
</mml:msub>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mtext>ROADLOCO</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mtext>it</mml:mtext>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mtext>&#x3b2;</mml:mtext>
<mml:mn>4</mml:mn>
</mml:msub>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mtext>RAILLOCO</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mtext>it</mml:mtext>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mtext>&#x3b2;</mml:mtext>
<mml:mn>5</mml:mn>
</mml:msub>
<mml:mtext>&#xa0;</mml:mtext>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mtext>ECT</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mtext>it</mml:mtext>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mtext>&#x3b2;</mml:mtext>
<mml:mn>6</mml:mn>
</mml:msub>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mtext>LOCO&#x2a;ECT</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mtext>it</mml:mtext>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mtext>&#x3b5;</mml:mtext>
<mml:mrow>
<mml:mtext>it</mml:mtext>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
<label>(2)</label>
</disp-formula>
</p>
<p>This study also investigates the joint effect of locomotive and transport energy consumption on TCO<sub>2</sub>. Thus, we add the interaction term in the empirical model (<xref ref-type="disp-formula" rid="e1">Eq. 1</xref>) to examine the effect of locomotive on the association between TCO<sub>2</sub> and transport energy consumption. Hence, <inline-formula id="inf8">
<mml:math id="m10">
<mml:mrow>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b2;</mml:mi>
<mml:mn>6</mml:mn>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mo>&#x2202;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mtext>TCO</mml:mtext>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2202;</mml:mo>
<mml:mtext>LOCO</mml:mtext>
<mml:mo>&#x2217;</mml:mo>
<mml:mtext>ECT</mml:mtext>
</mml:mrow>
</mml:mfrac>
<mml:mo>&#x3c;</mml:mo>
<mml:mn>0</mml:mn>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula>.</p>
<p>Subsequently, we include the quadratic term of transport energy consumption in <xref ref-type="disp-formula" rid="e3">Eq. 3</xref> to estimate the U-shaped or inverted U-shaped between TCO<sub>2</sub> and ECT.<disp-formula id="e3">
<mml:math id="m11">
<mml:mrow>
<mml:mtext>TCO</mml:mtext>
<mml:msub>
<mml:mn>2</mml:mn>
<mml:mrow>
<mml:mtext>it</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mtext>&#x3b2;</mml:mtext>
<mml:mn>0</mml:mn>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mtext>&#x3b2;</mml:mtext>
<mml:mn>1</mml:mn>
</mml:msub>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mtext>ROADMOV</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mtext>it</mml:mtext>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mtext>&#x3b2;</mml:mtext>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mtext>RAILMOV</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mtext>it</mml:mtext>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mtext>&#x3b2;</mml:mtext>
<mml:mn>3</mml:mn>
</mml:msub>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mtext>ROADLOCO</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mtext>it</mml:mtext>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mtext>&#x3b2;</mml:mtext>
<mml:mn>4</mml:mn>
</mml:msub>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mtext>RAILLOCO</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mtext>it</mml:mtext>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mtext>&#x3b2;</mml:mtext>
<mml:mn>5</mml:mn>
</mml:msub>
<mml:mtext>&#xa0;</mml:mtext>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mtext>ECT</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mtext>it</mml:mtext>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mtext>&#x3b2;</mml:mtext>
<mml:mn>6</mml:mn>
</mml:msub>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mtext>LOCO&#x2a;TEC</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mtext>it</mml:mtext>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mtext>&#x3b2;</mml:mtext>
<mml:mn>7</mml:mn>
</mml:msub>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:msubsup>
<mml:mrow>
<mml:mtext>ECT</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mtext>it</mml:mtext>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msubsup>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mtext>&#x3b5;</mml:mtext>
<mml:mrow>
<mml:mtext>it</mml:mtext>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
<label>(3)</label>
</disp-formula>
</p>
<p>Furthermore, it is supposed to have a positive effect on TCO<sub>2</sub> <inline-formula id="inf9">
<mml:math id="m12">
<mml:mrow>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b2;</mml:mi>
<mml:mn>7</mml:mn>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mo>&#x2202;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mtext>TCO</mml:mtext>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2202;</mml:mo>
<mml:msup>
<mml:mrow>
<mml:mtext>ECT</mml:mtext>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msup>
</mml:mrow>
</mml:mfrac>
<mml:mo>&#x3e;</mml:mo>
<mml:mn>0</mml:mn>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula>.</p>
<p>Interestingly, we add environmental government budget, ERDE, and green transport factors to analyze their effect on TCO<sub>2</sub>.<disp-formula id="e4">
<mml:math id="m13">
<mml:mrow>
<mml:mtext>TCO</mml:mtext>
<mml:msub>
<mml:mn>2</mml:mn>
<mml:mrow>
<mml:mtext>it</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mtext>&#x3b2;</mml:mtext>
<mml:mn>0</mml:mn>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mtext>&#x3b2;</mml:mtext>
<mml:mn>1</mml:mn>
</mml:msub>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mtext>ROADMOV</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mtext>it</mml:mtext>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
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<mml:mrow>
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<mml:mrow>
<mml:msub>
<mml:mrow>
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<mml:mrow>
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<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mtext>EGB</mml:mtext>
</mml:mrow>
<mml:mrow>
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</mml:msub>
</mml:mrow>
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</mml:mrow>
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<mml:mrow>
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</mml:mrow>
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</mml:mrow>
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<mml:mrow>
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<mml:mrow>
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</mml:mrow>
<mml:mrow>
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</mml:msub>
</mml:mrow>
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<mml:mrow>
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</mml:msub>
</mml:mrow>
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</mml:mrow>
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<mml:mtext>&#x3b2;</mml:mtext>
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<mml:mrow>
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<mml:mrow>
<mml:msub>
<mml:mrow>
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</mml:math>
<label>(4)</label>
</disp-formula>
</p>
<p>
<xref ref-type="disp-formula" rid="e4">Eq. 4</xref> shows that TCO<sub>2</sub> is also a function of environmental government budget (EGB), ERDE, environmental taxes (ETAX), road electric (ROE), and railway electric (RAE). Environmental government budget is another important factor to protect environment quality. <xref ref-type="bibr" rid="B24">Hussain et al. (2020)</xref> argue that the governments allocate the national fund for different environmental projects that enable the government bodies to control the greenhouse emissions released from several sectors, particularly the transport sector and related industries. Thus, environmental government budget is anticipated to have a negative effect on transport energy consumption <inline-formula id="inf10">
<mml:math id="m14">
<mml:mrow>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b2;</mml:mi>
<mml:mn>5</mml:mn>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mo>&#x2202;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mtext>TCO</mml:mtext>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2202;</mml:mo>
<mml:mtext>EGB</mml:mtext>
</mml:mrow>
</mml:mfrac>
<mml:mo>&#x3c;</mml:mo>
<mml:mn>0</mml:mn>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula>. Likewise, ERDE is an important factor to control TCO<sub>2</sub>. <xref ref-type="bibr" rid="B65">Wang et al. (2021)</xref> and <xref ref-type="bibr" rid="B9">Chishti et al. (2021)</xref> argue that ERDE can reduce TCO<sub>2</sub> through advancement in technology. ERDE is expected to have a negative effect on TCO<sub>2</sub> <inline-formula id="inf11">
<mml:math id="m15">
<mml:mrow>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b2;</mml:mi>
<mml:mn>6</mml:mn>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mo>&#x2202;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mtext>TCO</mml:mtext>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2202;</mml:mo>
<mml:mtext>ERDE</mml:mtext>
</mml:mrow>
</mml:mfrac>
<mml:mo>&#x3c;</mml:mo>
<mml:mn>0</mml:mn>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula>. ETAX is a significant factor as well. <xref ref-type="bibr" rid="B31">Li et al. (2021)</xref> argue that environmental taxes discourage the production entities or companies in releasing a certain amount of CO<sub>2</sub> emissions. Thus, ETAX is predicted to have a negative effect on TCO<sub>2</sub> <inline-formula id="inf12">
<mml:math id="m16">
<mml:mrow>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b2;</mml:mi>
<mml:mn>7</mml:mn>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mo>&#x2202;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mtext>TCO</mml:mtext>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2202;</mml:mo>
<mml:mtext>ETAX</mml:mtext>
</mml:mrow>
</mml:mfrac>
<mml:mo>&#x3c;</mml:mo>
<mml:mn>0</mml:mn>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula>. In addition, road electric vehicles have a significant effect on TCO<sub>2</sub>. <xref ref-type="bibr" rid="B23">Hu et al. (2021)</xref> argue that road electric vehicles play a crucial role in reducing TCO<sub>2</sub>. These vehicles are considered a green transport strategy to protect the environment. Thus, it is anticipated to have a negative effect on TCO<sub>2</sub> <inline-formula id="inf13">
<mml:math id="m17">
<mml:mrow>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b2;</mml:mi>
<mml:mn>8</mml:mn>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mo>&#x2202;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mtext>TCO</mml:mtext>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2202;</mml:mo>
<mml:mtext>ROEV</mml:mtext>
</mml:mrow>
</mml:mfrac>
<mml:mo>&#x3c;</mml:mo>
<mml:mn>0</mml:mn>
</mml:mrow>
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</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula>. Railway electric vehicles also effect TCO<sub>2</sub> as an alternative approach. <xref ref-type="bibr" rid="B28">Kejun et al. (2021)</xref> debate that railway electric vehicles impede TCO<sub>2</sub> pathways. These vehicles are regarded as an important transport measure to control CO<sub>2</sub> emissions released by the transport sector. RAE is expected to have a negative effect on TCO<sub>2</sub> <inline-formula id="inf14">
<mml:math id="m18">
<mml:mrow>
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<mml:mo>(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b2;</mml:mi>
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<mml:mfrac>
<mml:mrow>
<mml:mo>&#x2202;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mtext>TCO</mml:mtext>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2202;</mml:mo>
<mml:mtext>RAEV</mml:mtext>
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</mml:math>
</inline-formula>.<disp-formula id="e5">
<mml:math id="m19">
<mml:mrow>
<mml:mtext>TCO</mml:mtext>
<mml:msub>
<mml:mn>2</mml:mn>
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</mml:mrow>
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<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mtext>ROADMOV</mml:mtext>
</mml:mrow>
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<mml:mrow>
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<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mtext>RAILMOV</mml:mtext>
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<mml:mrow>
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<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mtext>EGB</mml:mtext>
</mml:mrow>
<mml:mrow>
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</mml:mrow>
</mml:msub>
</mml:mrow>
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<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mrow>
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</mml:mrow>
<mml:mrow>
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</mml:mrow>
</mml:msub>
</mml:mrow>
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<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mtext>ETAX</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mtext>it</mml:mtext>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mtext>&#x3b2;</mml:mtext>
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</mml:msub>
<mml:mrow>
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<mml:mrow>
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<mml:mrow>
<mml:mtext>ROEV</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mtext>it</mml:mtext>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mtext>&#x3b2;</mml:mtext>
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</mml:msub>
<mml:mrow>
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<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mtext>RAEV</mml:mtext>
</mml:mrow>
<mml:mrow>
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</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
<mml:mo>&#x2b;</mml:mo>
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<mml:mtext>&#x3b2;</mml:mtext>
<mml:mrow>
<mml:mn>10</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:msubsup>
<mml:mrow>
<mml:mtext>ERDE</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mtext>it</mml:mtext>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msubsup>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mtext>&#x3b2;</mml:mtext>
<mml:mrow>
<mml:mn>11</mml:mn>
<mml:mtext>&#xa0;</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mtext>&#xa0;</mml:mtext>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:msubsup>
<mml:mrow>
<mml:mtext>ROEV</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mtext>it</mml:mtext>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msubsup>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mtext>&#x3b5;</mml:mtext>
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<mml:mtext>it&#xa0;</mml:mtext>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
<label>(5)</label>
</disp-formula>
</p>
<p>We extend the empirical model (<xref ref-type="disp-formula" rid="e4">Eq. 4</xref>) to analyze the nonlinear effect of ERDE and ROE, specifically whether the nexus between TCO<sub>2,</sub> ERDE and ROE is U-shaped or inverted U-shaped. The coefficients of square of ERDE and ROE are predicted to have a negative effect on TCO<sub>2</sub> <inline-formula id="inf15">
<mml:math id="m20">
<mml:mrow>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b2;</mml:mi>
<mml:mrow>
<mml:mn>10</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mo>&#x2202;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mtext>TCO</mml:mtext>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2202;</mml:mo>
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</mml:math>
</inline-formula>, <inline-formula id="inf16">
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<mml:mfrac>
<mml:mrow>
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</mml:mrow>
<mml:mrow>
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</inline-formula>.</p>
<p>We also include the interaction term (EGB&#x2a;ETAX) in the empirical model (<xref ref-type="disp-formula" rid="e6">Eq. 6</xref>) to analyze the joint effect of EGB and ETAX on TCO<sub>2</sub>. Environmental government budget is interacted with environmental taxes to estimate the joint effect on TCO<sub>2</sub> emissions. More precisely, EGB may mitigate the effect on TCO<sub>2</sub> emissions through the environmental taxes. <xref ref-type="bibr" rid="B71">Yuelan et al. (2021)</xref> also support that environmental government budget has a significant impact on emissions. The reason is that environmental taxes are also main sources of government budget related to environment (<xref ref-type="bibr" rid="B37">Mirovi&#x107; et al., 2021</xref>; <xref ref-type="bibr" rid="B37">Rafique et al., 2022</xref>).<disp-formula id="e6">
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<label>(6)</label>
</disp-formula>
</p>
<p>To analyze the joint effect of EGB and ETAX, we predict that the coefficient of the interaction term has a negative effect on TCO<sub>2</sub> <inline-formula id="inf17">
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</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula>.</p>
</sec>
<sec id="s3-2">
<title>Data and Source</title>
<p>This study uses balanced panel data set from 2000 to 2020 for 35 OECD countries, namely, Australia, Austria, Belgium, Canada, Chile, Czech Republic, Denmark, Estonia, Finland, France, Germany, Greece, Hungary, Iceland, Ireland, Italy, Japan, Korea, Latvia, Lithuania, Luxembourg, Mexico, The Netherlands, New Zealand, Norway, Poland, Portugal, Slovak Republic, Slovenia, Spain, Sweden, Switzerland, Turkey, the United Kingdom, and the United States. We employ 11 variables in the empirical models. <xref ref-type="table" rid="T1">Table 1</xref> reveals the operational variables and data sources.</p>
<table-wrap id="T1" position="float">
<label>TABLE 1</label>
<caption>
<p>Variables and data sources.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Variable</th>
<th align="center">Code</th>
<th align="center">Measurement</th>
<th align="center">Source</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">Transport-carbon emission</td>
<td align="left">TCO<sub>2</sub>
</td>
<td align="left">Million ton</td>
<td align="left">OECD</td>
</tr>
<tr>
<td align="left">Road Movement</td>
<td align="left">ROADMOV</td>
<td align="left">Passenger and freight Kilo meter (million)</td>
<td align="left">OECD</td>
</tr>
<tr>
<td align="left">Rail Movement</td>
<td align="left">RAILMOV</td>
<td align="left">IV-07 (1000)</td>
<td align="left">OECD</td>
</tr>
<tr>
<td align="left">Road Locomotive</td>
<td align="left">ROADLOCO</td>
<td align="left">Number at (31.12) total traction engine (million)</td>
<td align="left">OECD</td>
</tr>
<tr>
<td align="left">Rail Locomotive</td>
<td align="left">RAILLOCO</td>
<td align="left">Number at (31.2) total steam engine, diesel (million)</td>
<td align="left">OECD</td>
</tr>
<tr>
<td align="left">Transport-energy consumption</td>
<td align="left">ECT</td>
<td align="left">Percentage of total energy consumption</td>
<td align="left">OECD</td>
</tr>
<tr>
<td align="left">Road-electric vehicle</td>
<td align="left">ROEV</td>
<td align="left">Million</td>
<td align="left">OECD</td>
</tr>
<tr>
<td align="left">Rail-electric vehicle</td>
<td align="left">RAEV</td>
<td align="left">million</td>
<td align="left">OECD</td>
</tr>
<tr>
<td align="left">Environmental government budget</td>
<td align="left">EGB</td>
<td align="left">Share of percentage of total EGB</td>
<td align="left">WDI</td>
</tr>
<tr>
<td align="left">Environmental R&#x26;D expenditures</td>
<td align="left">ERDE</td>
<td align="left">Percentage of GDP</td>
<td align="left">WDI</td>
</tr>
<tr>
<td align="left">Environmental Tax</td>
<td align="left">ETAX</td>
<td align="left">Percentage of GDP</td>
<td align="left">WDI</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>Source: author&#x2019;s calculation.</p>
</fn>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="s3-3">
<title>Cross-Sectional Dependence Test</title>
<p>We employ a cross-sectional dependence (CD) test on the variables. The reason is that countries are interconnected through multiple aspects such as economic, cultural, political, and social. As a result, dependency may exist. We follow <xref ref-type="bibr" rid="B47">Pesaran&#x2019;s (2004)</xref> CD and scaled LM test. The equation of CD test is given as<disp-formula id="e7">
<mml:math id="m24">
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</sec>
<sec id="s3-4">
<title>Unit Root Test</title>
<p>This study employs cross-sectionally augmented ADF and cross-sectionally augmented IPS test (<xref ref-type="bibr" rid="B45">Pesaran, 2007</xref>) to examine the stationarity characteristics. These also can be known as CADF and CIPS, respectively. Furthermore, arguments by <xref ref-type="bibr" rid="B45">Pesaran. (2007)</xref>, <xref ref-type="bibr" rid="B38">Moon and Perron. (2004)</xref>, and Bai and Ng (2004) draw a picture. That is, CIPS approach is a second-generation panel unit root test, and it is an efficient method for CD and heterogeneity. The estimated equation is as follows:<disp-formula id="e8">
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<mml:mi>&#x394;</mml:mi>
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<mml:mrow>
<mml:mover accent="true">
<mml:mrow>
<mml:mtext>CSA</mml:mtext>
</mml:mrow>
<mml:mo stretchy="true">&#xaf;</mml:mo>
</mml:mover>
</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:msubsup>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mtext>i</mml:mtext>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>0</mml:mn>
</mml:mrow>
<mml:mtext>&#x3c1;</mml:mtext>
</mml:msubsup>
<mml:msub>
<mml:mo>&#x2205;</mml:mo>
<mml:mrow>
<mml:mtext>i&#x3b9;</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mi>&#x394;</mml:mi>
<mml:msub>
<mml:mrow>
<mml:mtext>CA</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mtext>i</mml:mtext>
<mml:mo>,</mml:mo>
<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:mrow>
<mml:mtext>it</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mtext>&#xa0;</mml:mtext>
</mml:mrow>
</mml:math>
<label>(8)</label>
</disp-formula>where cross-section averages are denoted by <inline-formula id="inf19">
<mml:math id="m27">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mover accent="true">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>S</mml:mi>
<mml:mi>A</mml:mi>
</mml:mrow>
<mml:mo stretchy="true">&#xaf;</mml:mo>
</mml:mover>
</mml:mrow>
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>&#xa0;</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula id="inf20">
<mml:math id="m28">
<mml:mrow>
<mml:mi>&#x394;</mml:mi>
<mml:msub>
<mml:mrow>
<mml:mover accent="true">
<mml:mrow>
<mml:mtext>CSA</mml:mtext>
</mml:mrow>
<mml:mo stretchy="true">&#xaf;</mml:mo>
</mml:mover>
</mml:mrow>
<mml:mrow>
<mml:mtext>t</mml:mtext>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>. Therefore, the test statistics of CIPS is given as<disp-formula id="e9">
<mml:math id="m29">
<mml:mrow>
<mml:mrow>
<mml:mover accent="true">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>I</mml:mi>
<mml:mi>P</mml:mi>
<mml:mi>S</mml:mi>
</mml:mrow>
<mml:mo stretchy="true">&#x2dc;</mml:mo>
</mml:mover>
</mml:mrow>
<mml:mo>&#x3d;</mml:mo>
<mml:mo>&#xa0;</mml:mo>
<mml:mn>1</mml:mn>
<mml:mo>/</mml:mo>
<mml:mi>N</mml:mi>
<mml:munderover>
<mml:mstyle displaystyle="true">
<mml:mo>&#x2211;</mml:mo>
</mml:mstyle>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi>n</mml:mi>
</mml:munderover>
<mml:mi>C</mml:mi>
<mml:mi>D</mml:mi>
<mml:msub>
<mml:mi>F</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>&#xa0;</mml:mo>
</mml:mrow>
</mml:math>
<label>(9)</label>
</disp-formula>
</p>
<p>In <xref ref-type="disp-formula" rid="e9">Eq. 9</xref>, CDF represents the cross-sectional ADF.</p>
</sec>
<sec id="s3-5">
<title>Cointegration Test</title>
<p>To investigate the long-run association between the model parameters, we employ the ECM-based cointegration method (<xref ref-type="bibr" rid="B67">Westerlund, 2007</xref>). This method is more appropriate than conventional methods such as Pedroni and Kao. The reason is that the Westerlund cointegration method provides unbiased results in the presence of cross-dependency and heterogeneity. The test statistics can be stated as<disp-formula id="e10">
<mml:math id="m30">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b1;</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mi>L</mml:mi>
<mml:mo>)</mml:mo>
</mml:mrow>
<mml:mi>&#x394;</mml:mi>
<mml:msub>
<mml:mi>&#x3b3;</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mi>&#x3b4;</mml:mi>
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mi>i</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3b4;</mml:mi>
<mml:mrow>
<mml:mn>2</mml:mn>
<mml:mi>i</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3b1;</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b3;</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>t</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msubsup>
<mml:mi>&#x3b2;</mml:mi>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
</mml:msubsup>
<mml:msub>
<mml:mi>x</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>t</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3bb;</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mi>L</mml:mi>
<mml:mo>)</mml:mo>
</mml:mrow>
<mml:mo>&#x2019;</mml:mo>
<mml:msub>
<mml:mi>v</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3b5;</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
<mml:mo>,</mml:mo>
<mml:mo>&#xa0;</mml:mo>
</mml:mrow>
</mml:math>
<label>(10)</label>
</disp-formula>where <inline-formula id="inf21">
<mml:math id="m31">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b4;</mml:mi>
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mi>i</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mi>&#x3b1;</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mn>1</mml:mn>
<mml:mo>)</mml:mo>
</mml:mrow>
<mml:msub>
<mml:mi>&#x3d5;</mml:mi>
<mml:mrow>
<mml:mn>2</mml:mn>
<mml:mi>i</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>&#x3b1;</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:msub>
<mml:mi>&#x3d5;</mml:mi>
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mi>i</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3b1;</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:msub>
<mml:mi>&#x3d5;</mml:mi>
<mml:mrow>
<mml:mn>2</mml:mn>
<mml:mi>i</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> , but <inline-formula id="inf22">
<mml:math id="m32">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b4;</mml:mi>
<mml:mrow>
<mml:mn>2</mml:mn>
<mml:mi>i</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>&#x3b1;</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>&#xa0;</mml:mo>
</mml:mrow>
</mml:msub>
<mml:msub>
<mml:mi>&#x3d5;</mml:mi>
<mml:mrow>
<mml:mn>2</mml:mn>
<mml:mi>i</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>. <inline-formula id="inf23">
<mml:math id="m33">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b1;</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> represents the error correction term. The test statistics is described as<disp-formula id="e10_1">
<mml:math id="m34">
<mml:mrow>
<mml:msub>
<mml:mi>G</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
<mml:mo>/</mml:mo>
<mml:mi>N</mml:mi>
<mml:msubsup>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mtext>i</mml:mtext>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi>N</mml:mi>
</mml:msubsup>
<mml:mfrac bevelled="true">
<mml:mrow>
<mml:msubsup>
<mml:mi>&#x3b1;</mml:mi>
<mml:mi>i</mml:mi>
<mml:mo>&#x2019;</mml:mo>
</mml:msubsup>
</mml:mrow>
<mml:mrow>
<mml:mi>S</mml:mi>
<mml:mi>E</mml:mi>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:msubsup>
<mml:mi>&#x3b1;</mml:mi>
<mml:mi>i</mml:mi>
<mml:mo>&#x2019;</mml:mo>
</mml:msubsup>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
<label>(10.1)</label>
</disp-formula>
<disp-formula id="e10_2">
<mml:math id="m35">
<mml:mrow>
<mml:msub>
<mml:mi>G</mml:mi>
<mml:mi>&#x3b1;</mml:mi>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
<mml:mo>/</mml:mo>
<mml:mi>N</mml:mi>
<mml:msubsup>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mtext>i</mml:mtext>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi>N</mml:mi>
</mml:msubsup>
<mml:mfrac bevelled="true">
<mml:mrow>
<mml:msubsup>
<mml:mi>T</mml:mi>
<mml:mi>i</mml:mi>
<mml:mo>&#x2019;</mml:mo>
</mml:msubsup>
</mml:mrow>
<mml:mrow>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:msubsup>
<mml:mi>&#x3b1;</mml:mi>
<mml:mi>i</mml:mi>
<mml:mo>&#x2019;</mml:mo>
</mml:msubsup>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
<label>(10.2)</label>
</disp-formula>
<disp-formula id="e10_3">
<mml:math id="m36">
<mml:mrow>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mo>&#xa0;</mml:mo>
<mml:mfrac bevelled="true">
<mml:mrow>
<mml:msup>
<mml:mi>&#x3b1;</mml:mi>
<mml:mo>&#x2019;</mml:mo>
</mml:msup>
</mml:mrow>
<mml:mrow>
<mml:mi>S</mml:mi>
<mml:mi>E</mml:mi>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:msup>
<mml:mi>&#x3b1;</mml:mi>
<mml:mo>&#x2019;</mml:mo>
</mml:msup>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
<label>(10.3)</label>
</disp-formula>
<disp-formula id="e10_4">
<mml:math id="m37">
<mml:mrow>
<mml:msup>
<mml:mi>&#x3b1;</mml:mi>
<mml:mo>&#x2019;</mml:mo>
</mml:msup>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mi>&#x3b1;</mml:mi>
</mml:msub>
<mml:mo>/</mml:mo>
<mml:mi>T</mml:mi>
</mml:mrow>
</mml:math>
<label>(10.4)</label>
</disp-formula>
</p>
<p>The error correction parameters (<inline-formula id="inf24">
<mml:math id="m38">
<mml:mrow>
<mml:msup>
<mml:mi>&#x3b1;</mml:mi>
<mml:mo>&#x2019;</mml:mo>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula>) in <xref ref-type="disp-formula" rid="e10">Eq. 10</xref> are computed by replacing the value of <inline-formula id="inf25">
<mml:math id="m39">
<mml:mrow>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mi>&#x3b1;</mml:mi>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mi>T</mml:mi>
<mml:mrow>
<mml:mi>&#x3b1;</mml:mi>
<mml:mo>&#x2019;</mml:mo>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> (<xref ref-type="disp-formula" rid="e10_4">Eq. 10.4</xref>). Hence, the error correction parameter is specified as <inline-formula id="inf26">
<mml:math id="m40">
<mml:mrow>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:msup>
<mml:mi>&#x3b1;</mml:mi>
<mml:mo>&#x2019;</mml:mo>
</mml:msup>
<mml:mo>)</mml:mo>
</mml:mrow>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mi>&#x3b1;</mml:mi>
</mml:msub>
<mml:mo>/</mml:mo>
<mml:mi>T</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> that indicates the ratio of error to be corrected each year in the short run for the disequilibrium case.</p>
</sec>
<sec id="s3-6">
<title>Cross-Sectionally Augmented Autoregressive Distributed Lags</title>
<p>We analyze the short- and long-run relationship among the variables (used in the current empirical models) by employing the CS-ARDL model suggested by <xref ref-type="bibr" rid="B10">Chudik and Pesaran. (2015)</xref>. The framework of this model includes long-run parameters, short-run ones with error correction and cross-sectional mean. It overcomes the issues such as cross-sectional dependence, heterogeneity, and non-stationarity as robust and produces reliable outcomes (<xref ref-type="bibr" rid="B72">Zeqiraj et al., 2020</xref>; <xref ref-type="bibr" rid="B2">Ahmad et al., 2021</xref>). The model for CS-ARDL is proposed as follows:<disp-formula id="e11">
<mml:math id="m41">
<mml:mrow>
<mml:mtext>&#x394;TCO</mml:mtext>
<mml:msub>
<mml:mn>2</mml:mn>
<mml:mrow>
<mml:mtext>i</mml:mtext>
<mml:mo>,</mml:mo>
<mml:mtext>t</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mi>&#x3d1;</mml:mi>
<mml:mtext>i</mml:mtext>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msubsup>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mtext>j</mml:mtext>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mtext>&#x3c1;</mml:mtext>
</mml:msubsup>
<mml:msub>
<mml:mi>&#x3d1;</mml:mi>
<mml:mrow>
<mml:mtext>it</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mtext>&#x394;TCO</mml:mtext>
<mml:msub>
<mml:mn>2</mml:mn>
<mml:mrow>
<mml:mtext>i</mml:mtext>
<mml:mo>,</mml:mo>
<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:msubsup>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mtext>j</mml:mtext>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mtext>&#x3c1;</mml:mtext>
</mml:msubsup>
<mml:mi>&#x3d1;</mml:mi>
<mml:msub>
<mml:mtext>&#x2019;</mml:mtext>
<mml:mrow>
<mml:mtext>ij</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:msub>
<mml:mrow>
<mml:mtext>AV</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mtext>i</mml:mtext>
<mml:mo>,</mml:mo>
<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:msubsup>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mtext>j</mml:mtext>
<mml:mo>&#x3d;</mml:mo>
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<mml:mrow>
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</mml:mrow>
</mml:msub>
<mml:mo>,</mml:mo>
</mml:mrow>
</mml:math>
<label>(11)</label>
</disp-formula>where <inline-formula id="inf27">
<mml:math id="m42">
<mml:mrow>
<mml:mtext>&#x394;TCO</mml:mtext>
<mml:msub>
<mml:mn>2</mml:mn>
<mml:mrow>
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<mml:mtext>t</mml:mtext>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the dependent variable, <inline-formula id="inf28">
<mml:math id="m43">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mtext>AV</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mtext>i</mml:mtext>
<mml:mo>,</mml:mo>
<mml:mtext>t</mml:mtext>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula id="inf29">
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<mml:mrow>
<mml:mover accent="true">
<mml:mrow>
<mml:mo>&#xa0;</mml:mo>
<mml:msub>
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</mml:math>
</inline-formula> are the independent variables and the averages for cross-sections, respectively.</p>
</sec>
<sec id="s3-7">
<title>Robustness and Causality Tests</title>
<p>After estimation on CS-ARDL, we check the robustness by using the CCEMG of <xref ref-type="bibr" rid="B46">Pesaran. (2006)</xref>. This test allows parameters to be heterogeneous in the long run. CS-ARDL is criticized due to imposition of homogeneity restriction in the long run, but economies are diverse with regard to economic and social structures. Subsequently, despite the reliable outcomes obtained by the CS-ARDL and CCEMG, the direction of association between observed variables is not analyzed (which is important for policy implications). We then apply the Dumitrescu and Hurlin (D&#x26;H, 2012) method to investigate the casual relationship among the variables (used in the current models). This method provides two statistics that are test average ( <inline-formula id="inf30">
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</inline-formula> ) and standard normal distribution (<inline-formula id="inf31">
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<mml:mo>&#xaf;</mml:mo>
</mml:mover>
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</mml:math>
</inline-formula> ). The model can be described as<disp-formula id="e12">
<mml:math id="m47">
<mml:mrow>
<mml:msub>
<mml:mi>Z</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>t</mml:mi>
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</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mo>&#xa0;</mml:mo>
<mml:msub>
<mml:mi>&#x3b1;</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:munderover>
<mml:mstyle displaystyle="true">
<mml:mo>&#x2211;</mml:mo>
</mml:mstyle>
<mml:mrow>
<mml:mi>j</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi>&#x3c1;</mml:mi>
</mml:munderover>
<mml:msubsup>
<mml:mi>&#x3b2;</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>j</mml:mi>
</mml:msubsup>
<mml:msub>
<mml:mi>Z</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>t</mml:mi>
<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:mi>j</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi>&#x3c1;</mml:mi>
</mml:munderover>
<mml:msubsup>
<mml:mi>&#x3b3;</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>j</mml:mi>
</mml:msubsup>
<mml:msub>
<mml:mi>T</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>t</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#xa0;</mml:mo>
<mml:mo>,</mml:mo>
</mml:mrow>
</mml:math>
<label>(12)</label>
</disp-formula>where <inline-formula id="inf32">
<mml:math id="m48">
<mml:mrow>
<mml:msup>
<mml:mi>&#x3b2;</mml:mi>
<mml:mi>j</mml:mi>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula> (j) and j indicate the autoregressive parameters and lag length, respectively.</p>
</sec>
</sec>
<sec sec-type="results|discussion" id="s4">
<title>Empirical Results and Discussions</title>
<sec id="s4-1">
<title>Descriptive Statistics</title>
<p>
<xref ref-type="table" rid="T2">Table 2</xref> reveals the descriptive statistics. The mean values and standard deviations of road movement (ROAD-MOV), rail movement (RAIL-MOV), rail locomotive (RAIL-LOCO), road locomotive (ROAD-LOCO), and transport energy consumption (ECT) are very high, indicating high heterogeneity in the variables across the OECD countries. Moreover, the standard deviations of EGB and TCO<sub>2</sub> are higher (11.39 and 72.99, respectively), implying that observations follow a skewed distribution across the sample countries. However, the mean value and standard deviation of environmental tax (ETAX) are smaller, indicating that observations vary within a narrow range over the period.</p>
<table-wrap id="T2" position="float">
<label>TABLE 2</label>
<caption>
<p>Descriptive statistics.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Variable</th>
<th align="center">Obs</th>
<th align="center">Mean</th>
<th align="center">Std.Dev</th>
<th align="center">Min</th>
<th align="center">Max</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">TCO<sub>2</sub>
</td>
<td align="char" char=".">735</td>
<td align="char" char=".">92.65</td>
<td align="char" char=".">72.998</td>
<td align="char" char=".">11.2</td>
<td align="center">861</td>
</tr>
<tr>
<td align="left">ROAD-MOV</td>
<td align="char" char=".">735</td>
<td align="char" char=".">84581.4</td>
<td align="char" char=".">548000</td>
<td align="char" char=".">1</td>
<td align="center">5210000</td>
</tr>
<tr>
<td align="left">RAIL&#x2014;MOV</td>
<td align="char" char=".">735</td>
<td align="char" char=".">59434.79</td>
<td align="char" char=".">182000</td>
<td align="char" char=".">1</td>
<td align="center">1140000</td>
</tr>
<tr>
<td align="left">RAIL-LOCO</td>
<td align="char" char=".">735</td>
<td align="char" char=".">59434.79</td>
<td align="char" char=".">182000</td>
<td align="char" char=".">1</td>
<td align="center">1140000</td>
</tr>
<tr>
<td align="left">ROAD-LOCO</td>
<td align="char" char=".">735</td>
<td align="char" char=".">666000</td>
<td align="char" char=".">2950000</td>
<td align="char" char=".">1</td>
<td align="center">2.26e&#x2b;07</td>
</tr>
<tr>
<td align="left">ECT</td>
<td align="char" char=".">735</td>
<td align="char" char=".">253.327</td>
<td align="char" char=".">1759.159</td>
<td align="char" char=".">1</td>
<td align="center">27615</td>
</tr>
<tr>
<td align="left">EGB</td>
<td align="char" char=".">735</td>
<td align="char" char=".">25.695</td>
<td align="char" char=".">11.399</td>
<td align="char" char=".">1</td>
<td align="center">58.94</td>
</tr>
<tr>
<td align="left">ERDE</td>
<td align="char" char=".">735</td>
<td align="char" char=".">2.49</td>
<td align="char" char=".">2.094</td>
<td align="char" char=".">0.05</td>
<td align="center">17.66</td>
</tr>
<tr>
<td align="left">ETAX</td>
<td align="char" char=".">735</td>
<td align="char" char=".">0.104</td>
<td align="char" char=".">0.119</td>
<td align="char" char=".">0.01</td>
<td align="center">1</td>
</tr>
<tr>
<td align="left">ROAD-ELECT</td>
<td align="char" char=".">735</td>
<td align="char" char=".">20.32</td>
<td align="char" char=".">0.123</td>
<td align="char" char=".">0.60</td>
<td align="center">652143</td>
</tr>
<tr>
<td align="left">RAIL-ELECT</td>
<td align="char" char=".">735</td>
<td align="char" char=".">10.23</td>
<td align="char" char=".">0.432</td>
<td align="char" char=".">0.30</td>
<td align="center">32154</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>Source: author&#x2019;s calculations.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>We investigate the cross-dependency on the observed variables. To analyze the models, detecting the presence of CD is important. <xref ref-type="bibr" rid="B47">Pesaran. (2004)</xref> explains that ordinary econometric methods often cannot overcome the bias in the panels because of presence of CD. <xref ref-type="table" rid="T3">Table 3</xref> reports the estimate of Pesaran&#x2019;s CD and scaled LM test. The results reveal that CD is supported by the value of absolute mean (ranging from 0.696 to 107.619). Therefore, the outcomes of Pesaran&#x2019;s CD and Pesaran scaled LM test are highly significant for the entire observed variable, indicating that variables have CD. It is worth noticing because with globalization, emerging economies are interconnected. Consequently, the outcomes of the CD test are significantly projected in the model. Some possible changes in the observed variables of emerging economies may affect those of the other economies.</p>
<table-wrap id="T3" position="float">
<label>TABLE 3</label>
<caption>
<p>Cross-Sectional Dependence.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left"/>
<th colspan="2" align="center">Pesaran CD</th>
<th align="center">Pesaran Scaled LM</th>
</tr>
<tr>
<td align="left">Variable</td>
<td align="center">CD-test</td>
<td align="center">abs (corr)</td>
<td align="center">CD-test</td>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">TCO<sub>2</sub>
</td>
<td align="center">101.153&#x2a;&#x2a;&#x2a;</td>
<td align="center">0.90</td>
<td align="center">132.333&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left">ROAD-MOV</td>
<td align="center">22.129&#x2a;&#x2a;&#x2a;</td>
<td align="center">0.20</td>
<td align="center">231.433&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left">RAIL&#x2014;MOV</td>
<td align="center">44.54&#x2a;&#x2a;&#x2a;</td>
<td align="center">0.40</td>
<td align="center">154.298&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left">RAIL-LOCO</td>
<td align="center">28.464&#x2a;&#x2a;&#x2a;</td>
<td align="center">0.26</td>
<td align="center">120.938&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left">ROAD-LOCO</td>
<td align="center">17.447&#x2a;&#x2a;&#x2a;</td>
<td align="center">0.16</td>
<td align="center">121.433&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left">ECT</td>
<td align="center">107.619 &#x2a;&#x2a;&#x2a;</td>
<td align="center">0.96</td>
<td align="center">201.432&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left">EGB</td>
<td align="center">9.149&#x2a;&#x2a;&#x2a;</td>
<td align="center">0.30</td>
<td align="center">103.322&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left">ERDE</td>
<td align="center">4.186&#x2a;&#x2a;&#x2a;</td>
<td align="center">0.08</td>
<td align="center">98.322&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left">ETAX</td>
<td align="center">54.142&#x2a;&#x2a;&#x2a;</td>
<td align="center">0.55</td>
<td align="center">123.543&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left">ECT2</td>
<td align="center">100.157&#x2a;&#x2a;&#x2a;</td>
<td align="center">0.90</td>
<td align="center">190.432&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left">EGB2</td>
<td align="center">5.315&#x2a;&#x2a;&#x2a;</td>
<td align="center">0.28</td>
<td align="center">134.329&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left">ERDE2</td>
<td align="center">3.953&#x2a;&#x2a;&#x2a;</td>
<td align="center">0.08</td>
<td align="center">102.433&#x2a;&#x2a;&#x2a;</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>Source: author&#x2019;s calculations.</p>
</fn>
<fn>
<p>Note: <xref ref-type="table" rid="T2">Table 2</xref> reveals the estimate of cross-dependency (CD) test of Pesaran.</p>
</fn>
<fn>
<p>CD and Pesaran Scaled LM of observed variables of 35 OECD countries.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>To investigate the order of integration, we employ a second-generation panel unit root test (CIPS and CADF) by <xref ref-type="bibr" rid="B45">Pesaran. (2007)</xref>, which shows that cross-sectionally unbiased is a primary feature of CIPS. Investigation on the order of integration is a unique factor in the estimation technique. The outcomes of the CIPS and CADF are summarized in <xref ref-type="table" rid="T4">Table 4</xref>. The findings exhibit that all variables are stationary at 1 and follow a mixed order of integration. The presence of CD and mixed order of integration require the usage of CS-ARDL framework. Subsequently, we employ a Westerlund cointegration approach to investigate the long-run relationship in the models. The outcomes are given in <xref ref-type="table" rid="T5">Table 5</xref>, which shows that a long-run relationship exists in the models. Furthermore, error correction (EC) can be calculated by <inline-formula id="inf33">
<mml:math id="m49">
<mml:mrow>
<mml:mi>P</mml:mi>
<mml:mi>&#x3b1;</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> value in the models. Hence, the parameter of EC is <inline-formula id="inf34">
<mml:math id="m50">
<mml:mrow>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:msup>
<mml:mi>&#x3b1;</mml:mi>
<mml:mo>&#x27;</mml:mo>
</mml:msup>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mi>P</mml:mi>
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</mml:mrow>
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</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula> &#x3d; <inline-formula id="inf35">
<mml:math id="m51">
<mml:mrow>
<mml:mrow>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>3.966</mml:mn>
</mml:mrow>
<mml:mo>/</mml:mo>
<mml:mrow>
<mml:mn>18</mml:mn>
</mml:mrow>
</mml:mrow>
<mml:mo>&#x3d;</mml:mo>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>0.220</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula> for model 1, <inline-formula id="inf36">
<mml:math id="m52">
<mml:mrow>
<mml:mrow>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>5.893</mml:mn>
</mml:mrow>
<mml:mo>/</mml:mo>
<mml:mrow>
<mml:mn>18</mml:mn>
</mml:mrow>
</mml:mrow>
<mml:mo>&#x3d;</mml:mo>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>0.327</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula> for model 2, and <inline-formula id="inf37">
<mml:math id="m53">
<mml:mrow>
<mml:mrow>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>3.854</mml:mn>
</mml:mrow>
<mml:mo>/</mml:mo>
<mml:mrow>
<mml:mn>18</mml:mn>
</mml:mrow>
</mml:mrow>
<mml:mo>&#x3d;</mml:mo>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>0.214</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula> for model 3. The errors around 25.37% between TCO<sub>2</sub> and its determinants are corrected each year, so disequilibrium in the short run becomes stable in the long run.</p>
<table-wrap id="T4" position="float">
<label>TABLE 4</label>
<caption>
<p>Panel Unit Root.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left"/>
<th colspan="2" align="center">Cross-sectionally Augmented IPS (CIPS)</th>
<th colspan="2" align="center">Cross-sectionally Augmented Dicky-Fuller (CADF)</th>
</tr>
<tr>
<td align="left">Variable</td>
<td align="center">Level</td>
<td align="center">First-difference</td>
<td align="center">Level</td>
<td align="center">Firs-difference</td>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">TCO<sub>2</sub>
</td>
<td align="center">&#x2212;2.498</td>
<td align="center">&#x2212;1.232&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2212;4.479&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2212;11.086&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left">ROAD-MOV</td>
<td align="center">&#x2212;0.871</td>
<td align="center">&#x2212;0.432&#x2a;</td>
<td align="center">10.961</td>
<td align="center">9.678&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left">RAIL&#x2014;MOV</td>
<td align="center">&#x2212;1.698</td>
<td align="center">&#x2212;1.327&#x2a;&#x2a;&#x2a;</td>
<td align="center">2.823</td>
<td align="center">&#x2212;0.799&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left">RAIL-LOCO</td>
<td align="center">&#x2212;0.190 &#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2212;</td>
<td align="center">12.269</td>
<td align="center">6.966&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left">ROAD-LOCO</td>
<td align="center">&#x2212;0.252&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2212;</td>
<td align="center">13.296</td>
<td align="center">12.567&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left">ECT</td>
<td align="center">&#x2212;2.617</td>
<td align="center">&#x2212;1.432&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2212;1.404</td>
<td align="center">&#x2212;9.930&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left">EGB</td>
<td align="center">&#x2212;2.614&#x2a;</td>
<td align="center">&#x2212;1.232&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2212;1.576 &#x2a;</td>
<td align="center">&#x2212;9.157&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left">ERDE</td>
<td align="center">&#x2212;0.530 &#x2a;</td>
<td align="center">&#x2212;0.432&#x2a;</td>
<td align="center">14.714</td>
<td align="center">7.925&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left">ETAX</td>
<td align="center">&#x2212;1.754</td>
<td align="center">&#x2212;1.422&#x2a;</td>
<td align="center">3.558</td>
<td align="center">&#x2212;4.340&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left">ECT2</td>
<td align="center">&#x2212;2.610</td>
<td align="center">0.323&#x2a;</td>
<td align="center">&#x2212;1.609&#x2a;</td>
<td align="center">&#x2212;10.079&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left">EGB2</td>
<td align="center">&#x2212;2.869&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2212;</td>
<td align="center">&#x2212;2.222 &#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2212;9.548&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left">ERDE2</td>
<td align="center">&#x2212;0.516&#x2a;</td>
<td align="center">&#x2212;0.431&#x2a;</td>
<td align="center">14.714</td>
<td align="center">7.925&#x2a;&#x2a;</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>Source: author&#x2019;s calculations.</p>
</fn>
<fn>
<p>Note: CIPS, CADF.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<table-wrap id="T5" position="float">
<label>TABLE 5</label>
<caption>
<p>Cointegration Test.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Variable</th>
<th align="center">Model 1</th>
<th align="center">Model 2</th>
<th align="center">Model 3</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">Gt</td>
<td align="center">&#x2212;2.557&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2212;1.540</td>
<td align="center">&#x2212;1.635&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left"/>
<td align="center">(&#x2212;5.133)</td>
<td align="center">(1.566)</td>
<td align="center">(0.938)</td>
</tr>
<tr>
<td align="left">Ga</td>
<td align="center">&#x2212;2.636&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2212;3.354</td>
<td align="center">&#x2212;3.983&#x2a;</td>
</tr>
<tr>
<td align="left"/>
<td align="center">(4.897)</td>
<td align="center">(4.117)</td>
<td align="center">(3.433)</td>
</tr>
<tr>
<td align="left">Pt</td>
<td align="center">&#x2212;17.093&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2212;16.099&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2212;9.259&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left"/>
<td align="center">(&#x2212;8.578)</td>
<td align="center">(&#x2212;7.578)</td>
<td align="center">(&#x2212;0.699)</td>
</tr>
<tr>
<td align="left">Pa</td>
<td align="center">&#x2212;3.966&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2212;5.893&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2212;3.854&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left"/>
<td align="center">(0.352)</td>
<td align="center">(&#x2212;2.216)</td>
<td align="center">(0.501)</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>Source: author&#x2019;s calculations.</p>
</fn>
<fn>
<p>Note: Westerlund cointegration test.</p>
</fn>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="s4-2">
<title>Role of Traffic and Transport Energy Consumption</title>
<p>After evaluation of cointegration, we employ a CS-ARDL method to gauge the dynamic effect of traffic and transport energy consumption in the short and long runs. <xref ref-type="table" rid="T6">Table 6</xref> displays the estimation using CS-ARDL. The magnitude of each coefficient indicates a significant relationship between explanatory variables and TCO<sub>2</sub> in the short and long runs. A 29.5% increase in TCO<sub>2</sub> is due to a 1% increase in road movement in the short run, whereas a 4.3% augmentation in TCO<sub>2</sub> is affected by a similar rise in rail movement in the short run. Conversely, road and rail movement variables have relatively less influence on TCO<sub>2</sub> in the long run. <xref ref-type="bibr" rid="B43">Payus et al. (2019)</xref>, <xref ref-type="bibr" rid="B8">Chen et al. (2018)</xref>, and <xref ref-type="bibr" rid="B16">Grote et al. (2018)</xref> argue that movement of passengers upsurges the use of road vehicles. Consequently, CO<sub>2</sub> emissions released in the environment are due to traffic activities.</p>
<table-wrap id="T6" position="float">
<label>TABLE 6</label>
<caption>
<p>The role of traffic and transport energy consumption.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th colspan="1" align="left">Variable</th>
<th colspan="3" align="center">Short-run</th>
<th colspan="3" align="center">Long-run</th>
</tr>
<tr>
<td align="left"/>
<td align="center">Model 1</td>
<td align="center">Model 2</td>
<td align="center">Model 3</td>
<td align="center">Model 1</td>
<td align="center">Model 2</td>
<td align="center">Model 3</td>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">ROAD-MOV</td>
<td align="center">0.183&#x2a;&#x2a;&#x2a;</td>
<td align="center">0.295&#x2a;&#x2a;&#x2a;</td>
<td align="center">0.254&#x2a;&#x2a;&#x2a;</td>
<td align="center">0.091&#x2a;&#x2a;&#x2a;</td>
<td align="center">0.181&#x2a;&#x2a;&#x2a;</td>
<td align="center">0.127&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left"/>
<td align="center">(0.232)</td>
<td align="center">(0.028)</td>
<td align="center">(0.034)</td>
<td align="center">(0.023)</td>
<td align="center">(0.24)</td>
<td align="center">(0.032)</td>
</tr>
<tr>
<td align="left">RAIL-MOV</td>
<td align="center">0.110&#x2a;&#x2a;&#x2a;</td>
<td align="center">0.043&#x2a;&#x2a;&#x2a;</td>
<td align="center">0.098&#x2a;&#x2a;&#x2a;</td>
<td align="center">0.543&#x2a;&#x2a;</td>
<td align="center">0.087&#x2a;&#x2a;&#x2a;</td>
<td align="center">0.432&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left"/>
<td align="center">(0.034)</td>
<td align="center">(0.057)</td>
<td align="center">(0.032)</td>
<td align="center">(0.432)</td>
<td align="center">(1.216)</td>
<td align="center">(0.321)</td>
</tr>
<tr>
<td align="left">ECT</td>
<td align="center">0.403&#x2a;&#x2a;&#x2a;</td>
<td align="center">0.314&#x2a;&#x2a;&#x2a;</td>
<td align="center">0.323&#x2a;&#x2a;&#x2a;</td>
<td align="center">0.220&#x2a;&#x2a;&#x2a;</td>
<td align="center">12.6&#x2a;&#x2a;&#x2a;</td>
<td align="center">0.201&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left"/>
<td align="center">(0.332)</td>
<td align="center">(0.847)</td>
<td align="center">(0.023)</td>
<td align="center">(0.329)</td>
<td align="center">(0.498)</td>
<td align="center">(0.232)</td>
</tr>
<tr>
<td align="left">ROAD-LOCO</td>
<td align="center">0.782&#x2a;&#x2a;&#x2a;</td>
<td align="center">0.890&#x2a;&#x2a;&#x2a;</td>
<td align="center">0.891&#x2a;&#x2a;&#x2a;</td>
<td align="center">0.792&#x2a;&#x2a;</td>
<td align="center">9.576&#x2a;&#x2a;&#x2a;</td>
<td align="center">0.702&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left"/>
<td align="center">(0.143)</td>
<td align="center">(0.096)</td>
<td align="center">(0.213)</td>
<td align="center">(0.321)</td>
<td align="center">(9.221)</td>
<td align="center">(0.485)</td>
</tr>
<tr>
<td align="left">RAIL-LOCO</td>
<td align="center">0.348&#x2a;&#x2a;&#x2a;</td>
<td align="center">0.085&#x2a;&#x2a;&#x2a;</td>
<td align="center">0.232&#x2a;&#x2a;&#x2a;</td>
<td align="center">0.038&#x2a;&#x2a;&#x2a;</td>
<td align="center">1.431&#x2a;&#x2a;&#x2a;</td>
<td align="center">0.243&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left"/>
<td align="center">(0.432)</td>
<td align="center">(0.078)</td>
<td align="center">(0.043)</td>
<td align="center">(0.043)</td>
<td align="center">(1.048)</td>
<td align="center">(0.093)</td>
</tr>
<tr>
<td align="left">ECT&#x2a;LOCOMOTIVE</td>
<td align="center">&#x2014;</td>
<td align="center">0.015&#x2a;</td>
<td align="center">0.002&#x2a;</td>
<td align="center">&#x2014;</td>
<td align="center">0.0613&#x2a;</td>
<td align="center">0.006&#x2a;</td>
</tr>
<tr>
<td align="left"/>
<td align="center">&#x2014;</td>
<td align="center">(0.470)</td>
<td align="center">(0.123)</td>
<td align="center">&#x2014;</td>
<td align="center">(1.123)</td>
<td align="center">(0.083)</td>
</tr>
<tr>
<td align="left">ECT<sup>2</sup>
</td>
<td align="center">&#x2014;</td>
<td align="center">&#x2014;</td>
<td align="center">&#x2212;0.432&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2014;</td>
<td align="center">&#x2014;</td>
<td align="center">&#x2212;0.543&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left"/>
<td align="center">&#x2014;</td>
<td align="center">&#x2014;</td>
<td align="center">(0.432)</td>
<td align="center">&#x2014;</td>
<td align="center">&#x2014;</td>
<td align="center">(0.093)</td>
</tr>
<tr>
<td align="left">SR Error Correction</td>
<td align="center">&#x2212;0.325&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2212;0.234&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2212;0.308&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2014;</td>
<td align="center">&#x2014;</td>
<td align="center">&#x2014;</td>
</tr>
<tr>
<td align="left"/>
<td align="center">(0.065)</td>
<td align="center">(0.098)</td>
<td align="center">(0.088)</td>
<td align="center">&#x2014;</td>
<td align="center">&#x2014;</td>
<td align="center">&#x2014;</td>
</tr>
<tr>
<td align="left">Observations</td>
<td align="center">630</td>
<td align="center">630</td>
<td align="center">630</td>
<td align="center">630</td>
<td align="center">630</td>
<td align="center">630</td>
</tr>
<tr>
<td align="left">R-squared</td>
<td align="center">0.499</td>
<td align="center">0.639</td>
<td align="center">0.604</td>
<td align="center">0.575</td>
<td align="center">0.475</td>
<td align="center">0.363</td>
</tr>
<tr>
<td align="left">Number of groups</td>
<td align="center">35</td>
<td align="center">35</td>
<td align="center">35</td>
<td align="center">35</td>
<td align="center">35</td>
<td align="center">35</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>Note: &#x2a;, &#x2a;&#x2a;, and &#x2a;&#x2a;&#x2a; denote 10, 5 and 1% significance level. The standard errors are in parentheses.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>Besides, the positive and significant coefficient of ECT indicates an increase in TCO<sub>2</sub>. Numerous studies (e.g., <xref ref-type="bibr" rid="B1">Adams et al., 2020</xref>; <xref ref-type="bibr" rid="B15">Figliozzi 2020</xref>; <xref ref-type="bibr" rid="B44">Peng et al., 2020</xref>) find that the use of energy is the most influencing factor of TCO<sub>2</sub>, and a positive relationship exists between energy consumption and CO<sub>2</sub> emissions in the transport sector. A higher volume of economic activities particularly in the transport sector enhance energy consumption, which then increases CO<sub>2</sub> emissions.</p>
<p>The effect of road and rail locomotive is positive and significant with respect to TCO<sub>2</sub>, which implies that extensive use of locomotive is causing TCO<sub>2</sub>. Entities buy more fossil fuel vehicles (e.g., truck, bus, car, and motorcycle), so TCO<sub>2</sub> increase. Several other studies (e.g., <xref ref-type="bibr" rid="B52">Rietmann et al., 2020</xref>; <xref ref-type="bibr" rid="B4">Arvin et al., 2021</xref>; <xref ref-type="bibr" rid="B31">Li et al., 2021</xref>; Xu et al., 2020; <xref ref-type="bibr" rid="B69">Yan et al., 2021</xref>) endorse this finding, arguing that locomotives are the main driving factors of CO<sub>2</sub> emissions in the transport sector. The demand for trip/traveling within a specific time stimulates the use of fuel vehicles by individuals/consumers. Therefore, road and rail locomotive augments TCO<sub>2</sub>. The coefficient of ECT square indicates that a 1% increase in ECT<sup>2</sup> decreases TCO<sub>2</sub> by 43.2 and 54.3% in the short and long runs, respectively. An inverted U-shaped relationship occurs, indicating that a particular amount of energy consumption in the transport sector can reduce TCO<sub>2</sub> by adopting environmental strategies (e.g. efficient energy use, electric vehicles, and sustainable locomotive production and consumption patterns). Furthermore, the outcome reflects that OECD countries&#x2019; environmental strategies are in the right direction as their economies are progressively adopting alternative uses of transport vehicles to protect their environment (<xref ref-type="bibr" rid="B32">Lin, (2020)</xref>; <xref ref-type="bibr" rid="B21">He et al., 2021</xref>; <xref ref-type="bibr" rid="B52">Rietmann et al., 2020</xref>; <xref ref-type="bibr" rid="B32">Lin, (2020)</xref>; <xref ref-type="bibr" rid="B56">Sharma and Chandel. 2020</xref>; <xref ref-type="bibr" rid="B20">Harvey 2020</xref>). Subsequently, the coefficient of interaction term (ECT&#x2a;LOCOM) indicates that a joint effect of transport energy consumption and locomotives increases TCO<sub>2</sub>, implying that locomotives increase TCO<sub>2</sub> through ECT.</p>
</sec>
<sec id="s4-3">
<title>Role of Environmental Expenditures and Green Transport</title>
<p>After assessing the effect of traffic and transport energy consumption on TCO<sub>2</sub>, we can move forward to investigate the role of environmental expenditure and green transport to resolve the issue of CO<sub>2</sub> emissions released by the transport sector. The coefficients of environmental government budget (EGB) are negative and significant in <xref ref-type="table" rid="T7">Table 7</xref>, which indicate that a 1% increase in EGB reduces TCO<sub>2</sub> by approximately 146% (model 1), 13.2% (model 2), and 2.1% (model) in the short run. On average, 28.6, 1.7, and 22.1% decreases in TCO<sub>2</sub> in all the cases are due to EGB in the long run.</p>
<table-wrap id="T7" position="float">
<label>TABLE 7</label>
<caption>
<p>The role of environmental expenditures and green transport.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th colspan="1" align="left">Variable</th>
<th colspan="3" align="center">Short-run</th>
<th colspan="3" align="center">Long-run</th>
</tr>
<tr>
<td align="left"/>
<td align="center">Model 1</td>
<td align="center">Model 2</td>
<td align="center">Model 3</td>
<td align="center">Model 1</td>
<td align="center">Model 2</td>
<td align="center">Model 3</td>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">ROAD-MOV</td>
<td align="center">0.021&#x2a;&#x2a;&#x2a;</td>
<td align="center">0.021&#x2a;&#x2a;</td>
<td align="center">&#x2212;0.048</td>
<td align="center">0.032&#x2a;&#x2a;</td>
<td align="center">0.048&#x2a;</td>
<td align="center">0.043&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left"/>
<td align="center">(0.032)</td>
<td align="center">(0.032)</td>
<td align="center">(0.094)</td>
<td align="center">(0.038)</td>
<td align="center">(0.032)</td>
<td align="center">(0.052)</td>
</tr>
<tr>
<td align="left">RAIL-MOV</td>
<td align="center">0.023&#x2a;&#x2a;&#x2a;</td>
<td align="center">0.039&#x2a;&#x2a;&#x2a;</td>
<td align="center">0.321&#x2a;</td>
<td align="center">0.021&#x2a;&#x2a;&#x2a;</td>
<td align="center">0.003&#x2a;&#x2a;</td>
<td align="center">0.031&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left"/>
<td align="center">(0.032)</td>
<td align="center">(0.003)</td>
<td align="center">(0.054)</td>
<td align="center">(0.043)</td>
<td align="center">(0.085)</td>
<td align="center">(0.076)</td>
</tr>
<tr>
<td align="left">ROAD-LOCO</td>
<td align="center">&#x2212;0.383</td>
<td align="center">0.038&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2212;0.003&#x2a;&#x2a;</td>
<td align="center">0.048&#x2a;&#x2a;</td>
<td align="center">&#x2212;0.039</td>
<td align="center">0.010&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left"/>
<td align="center">(0.438)</td>
<td align="center">(0.083)</td>
<td align="center">(0.084)</td>
<td align="center">(0.043)</td>
<td align="center">(0.998)</td>
<td align="center">(0.076)</td>
</tr>
<tr>
<td align="left">RAIL-LOCO</td>
<td align="center">0.002&#x2a;&#x2a;&#x2a;</td>
<td align="center">0.004&#x2a;</td>
<td align="center">&#x2212;0.033</td>
<td align="center">0.323&#x2a;&#x2a;&#x2a;</td>
<td align="center">0.021&#x2a;</td>
<td align="center">0.001&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left"/>
<td align="center">(0.053)</td>
<td align="center">(0.021)</td>
<td align="center">(0.098)</td>
<td align="center">(0.048)</td>
<td align="center">(0.443)</td>
<td align="center">(0.028)</td>
</tr>
<tr>
<td align="left">EGB</td>
<td align="center">&#x2212;0.021&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2212;0.132&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2212;1.461&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2212;0.221&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2212;0.017&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2212;0.286&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left"/>
<td align="center">(0.212)</td>
<td align="center">(0.021)</td>
<td align="center">(0.691)</td>
<td align="center">(0.021)</td>
<td align="center">(0.012)</td>
<td align="center">(0.211)</td>
</tr>
<tr>
<td align="left">ERDE</td>
<td align="center">&#x2212;0.217&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2212;0.321&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2212;0.031&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2212;0.028&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2212;0.018&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2212;0.581&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left"/>
<td align="center">(0.021)</td>
<td align="center">(0.032)</td>
<td align="center">(0.031)</td>
<td align="center">(0.032)</td>
<td align="center">(0.028)</td>
<td align="center">(3.178)</td>
</tr>
<tr>
<td align="left">ETAX</td>
<td align="center">&#x2212;0.021&#x2a;&#x2a;</td>
<td align="center">&#x2212;0.028&#x2a;&#x2a;</td>
<td align="center">&#x2212;0.55&#x2a;&#x2a;</td>
<td align="center">&#x2212;0.021&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2212;0.038&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2212;0.468&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left"/>
<td align="center">(0.081)</td>
<td align="center">(0.212)</td>
<td align="center">(0.11)</td>
<td align="center">(0.028)</td>
<td align="center">(0.321)</td>
<td align="center">(0.791)</td>
</tr>
<tr>
<td align="left">RAIL-ELECTRIC</td>
<td align="center">&#x2212;0.432&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2212;0.124&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2212;0.103&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2212;0.765&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2212;0.543&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2212;0.155&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left"/>
<td align="center">(0.023)</td>
<td align="center">(0.082)</td>
<td align="center">(0.089)</td>
<td align="center">(0.033)</td>
<td align="center">(0.032)</td>
<td align="center">(0.005)</td>
</tr>
<tr>
<td align="left">ROAD-ELECTRIC</td>
<td align="center">&#x2212;0.472&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2212;0.328&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2212;0.276&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2212;0.573&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2212;0.382&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2212;0.335&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left"/>
<td align="center">(0.032)</td>
<td align="center">(0.024)</td>
<td align="center">(0.231)</td>
<td align="center">(0.076)</td>
<td align="center">(0.063)</td>
<td align="center">(0.155)</td>
</tr>
<tr>
<td align="left">ERDE<sup>2</sup>
</td>
<td align="center">&#x2014;</td>
<td align="center">&#x2212;0.128&#x2a;&#x2a;</td>
<td align="center">&#x2212;0.323&#x2a;&#x2a;</td>
<td align="center">&#x2014;</td>
<td align="center">&#x2212;0.053&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2212;0.281&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left"/>
<td align="center">&#x2014;</td>
<td align="center">(0.022)</td>
<td align="center">(0.082)</td>
<td align="center">&#x2014;</td>
<td align="center">(0.032)</td>
<td align="center">(0.321)</td>
</tr>
<tr>
<td align="left">ROAD-ELECT-SQU</td>
<td align="center">&#x2014;</td>
<td align="center">&#x2212;0.543&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2212;0.707&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2014;</td>
<td align="center">&#x2212;0.654&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2212;0.179&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left"/>
<td align="center">&#x2014;</td>
<td align="center">(0.032)</td>
<td align="center">(0.887)</td>
<td align="center">&#x2014;</td>
<td align="center">(0.203)</td>
<td align="center">(0.318)</td>
</tr>
<tr>
<td align="left">EGB&#x2a;ETAX</td>
<td align="center">&#x2014;</td>
<td align="center">&#x2014;</td>
<td align="center">&#x2212;0.007&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2014;</td>
<td align="center">&#x2014;</td>
<td align="center">&#x2212;0.004&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left"/>
<td align="center">&#x2014;</td>
<td align="center">&#x2014;</td>
<td align="center">(0.841)</td>
<td align="center">&#x2014;</td>
<td align="center">&#x2014;</td>
<td align="center">(0.045)</td>
</tr>
<tr>
<td align="left">SR Error Correction</td>
<td align="center">&#x2212;0.398&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2212;0.403&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2212;0.432&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2014;</td>
<td align="center">&#x2014;</td>
<td align="center">&#x2014;</td>
</tr>
<tr>
<td align="left"/>
<td align="center">(0.083)</td>
<td align="center">(0.032)</td>
<td align="center">(0.093)</td>
<td align="center">&#x2014;</td>
<td align="center">&#x2014;</td>
<td align="center">&#x2014;</td>
</tr>
<tr>
<td align="left">Observations</td>
<td align="center">630</td>
<td align="center">630</td>
<td align="center">630</td>
<td align="center">630</td>
<td align="center">630</td>
<td align="center">630</td>
</tr>
<tr>
<td align="left">R-squared</td>
<td align="center">0.513</td>
<td align="center">0.404</td>
<td align="center">0.287</td>
<td align="center">0.482</td>
<td align="center">0.288</td>
<td align="center">0.295</td>
</tr>
<tr>
<td align="left">Number of groups</td>
<td align="center">35</td>
<td align="center">35</td>
<td align="center">35</td>
<td align="center">35</td>
<td align="center">35</td>
<td align="center">35</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>Note: &#x2a;, &#x2a;&#x2a;, and &#x2a;&#x2a;&#x2a; denote 10, 5 and 1% significance level. The standard errors are in parentheses.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>The results reveal that the current environmental policies of the OECD countries are in the right direction for protecting the environment, particularly regarding the release of TCO<sub>2</sub>. Some related studies (e.g. <xref ref-type="bibr" rid="B14">Fan et al., 2020</xref>; <xref ref-type="bibr" rid="B70">Yang et al., 2020</xref>) argue that the government budget related to the environment has a remarkable effect on CO<sub>2</sub> emissions. It is considered a driving force to tackle environmental issues. Lack of funding can impede the identification of environmental issues though. Thus, the government budget supports the relevant departments or entities to tackle the problems. However, OECD countries can also constrain the governmental budget related to the environment.</p>
<p>ERDE is another important factor to mitigate CO<sub>2</sub> emissions. The coefficient of ERDE is negative and significant. On average, a 1% upsurge in ERDE reduces TCO<sub>2</sub> by approximately 3.1% (model 1), 32.1% (model 2), and 21.7% (model 3) in the short run. In the long run, a 58.1% decrease in TCO<sub>2</sub> is due to ERDE. These outcomes partially coincide with related studies by <xref ref-type="bibr" rid="B65">Wang et al. (2021)</xref> and <xref ref-type="bibr" rid="B9">Chishti et al. (2021)</xref> who explain the remarkable effect of ERDE on TCO<sub>2</sub> because the former drives invention of new technology for tackling the environmental issues.</p>
<p>Additionally, the coefficient of ERDE square explains that a 1% increase in ERDE square decreases TCO2 by approximately 32.3% (model 1), 12.8% (model 2), and 43.2% (model 3) in the short run. The negative relationship between ERDE square and TCO<sub>2</sub> is also apparent in the long run in OECD countries. This indicates that TCO<sub>2</sub> can be reduced with technological innovation and environmental economic policies after reaching a specific level of R&#x26;D. It also shows that OECD countries are giving greater attention on environment by adopting the alternative approaches, such as green transportation through green financing (<xref ref-type="bibr" rid="B30">Kong et al., 2021</xref>; <xref ref-type="bibr" rid="B58">Song et al., 2021</xref>).</p>
<p>Subsequently, our investigation focuses on the effect of environmental taxes on TCO<sub>2</sub>. The coefficients of ETAX are negative and significant in all cases, which shows that 55% (model 1), 2.8% (model 2), and 2.1% (model 3) decrease in TCO<sub>2</sub> is due to environmental taxes in the short run. A slight change in the coefficients of ETAX is noted, and the negative correlation among the variables is validated in the long run. This finding is also consistent with those of other studies, for instance, <xref ref-type="bibr" rid="B19">Hao et al. (2021)</xref>, <xref ref-type="bibr" rid="B33">Ma et al. (2021)</xref>, and <xref ref-type="bibr" rid="B73">Zhai et al. (2021)</xref> who document that environmental taxes have a remarkable effect on CO<sub>2</sub> emissions. The reason is that taxes are sources of government bodies which are used for mega projects, including sustainable development, agriculture and industrial growth, and infrastructure (<xref ref-type="bibr" rid="B4">Arvin et al., 2021</xref>).</p>
<p>Now our concentration moves to the effect of green transport. Electric vehicles are used as a proxy to analyze the effect on TCO<sub>2</sub>. The coefficients of railway electric vehicles are negative and significant for TCO<sub>2</sub> in all the cases. A 1% increase in railway electric vehicles decreases TCO2 by approximately 43.2 and 76.5% in the short and long runs, respectively (see <xref ref-type="table" rid="T6">Table 6</xref>). On the contrary, the coefficients of road vehicles also validate the negative relationship with TCO2. On average, in the short run, 27.6% decrease in TCO2 for model 1, 32.8% for model 2, and 47.2% for model 3 are due to road vehicles. Furthermore, a 1% increase in road vehicles decreases TCO<sub>2</sub> by approximately 33.3% (model 1), 38.2% (model 2), and 57.3% (model 3) in the long run (see <xref ref-type="table" rid="T6">Table 6</xref>).</p>
<p>An inverted U-shaped relationship between TCO<sub>2</sub> and road vehicles shows that after reaching a specific level of road vehicles, TCO<sub>2</sub> can be reduced with better transport and environmental policies. OECD countries are progressively shifting their resources from diesel to electric vehicles. Our findings are consistent with those of related studies by <xref ref-type="bibr" rid="B68">Xu et al. (2021)</xref> and <xref ref-type="bibr" rid="B74">Zhang and Hanaoka (2021)</xref> who conclude that electric vehicles have a remarkable effect on TCO<sub>2</sub> as an alternative transport strategy.</p>
<p>The interaction term of EGB and ETAX is negative and significant. The joint effect of EGB and ETAX reduces TCO<sub>2</sub>, implying that governments simultaneously allocate the budget and impose taxes related to environment to reduce CO<sub>2</sub> emissions.</p>
</sec>
<sec id="s4-4">
<title>Endogeneity and Robustness Check</title>
<p>Endogeneity is the concept of econometric that explains about the correlation between explanatory variables and error terms. Distinguish between endogenous and exogenous variables created in simultaneous equations models where a separate variable is determined by the model that is predetermined. Usually, endogeneity problem arises due to correlation between the explanatory variables and errors term from unobserved or omitted variables is confound both independent variable and dependent variable.</p>
<p>Thus, we attempt endogeneity and robustness of the modeling techniques to present the potential reverse causality problem. We use the best strategy, namely, CCEMG, to estimate the correlation of unobserved variables with explanatory variables and error term. This model can correlate with unobserved variables, such as investment in transport, total energy consumption, freight and passenger volume, and CO<sub>2</sub> emission release from other sectors. <xref ref-type="table" rid="T8">Table 8</xref> reports the estimate, which indicates that the outcomes are significant. The results portray that the outcomes produced by CS-ARDL are valid, indicating consistent findings. In addition, <xref ref-type="table" rid="T8">Table 8</xref> (model 1) shows that traffic factors (road movements, rail movements, road locomotives, rail locomotives, and transport energy consumption) are statistically significant at 1% level. It indicates that the relationship is consistent with the main approach. On the other hand, model 2 also reveals that there is no drawback in findings with the CS-ARDL estimation. Likewise, the coefficients of green transport in model 3 also indicate that there is no robust effect in the model. Generally, unobserved or omitted variables are not correlated with explanatory and dependent variable (<xref ref-type="bibr" rid="B24">Hussain et al., 2020</xref>; <xref ref-type="bibr" rid="B36">Mehmood et al., 2021</xref>; <xref ref-type="bibr" rid="B26">Isik et al., 2021</xref>).</p>
<table-wrap id="T8" position="float">
<label>TABLE 8</label>
<caption>
<p>Robustness Check.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left"/>
<th align="left">Model 1</th>
<th align="left">Model 2</th>
<th align="left">Model 3</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">ROAD-MOV</td>
<td align="center">0.0295&#x2a;&#x2a;&#x2a;</td>
<td align="center">0.040&#x2a;&#x2a;&#x2a;</td>
<td align="center">3.245&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left"/>
<td align="center">(0.002)</td>
<td align="center">(0.009)</td>
<td align="center">(0.026)</td>
</tr>
<tr>
<td align="left">RAIL-MOV</td>
<td align="center">0.0438&#x2a;&#x2a;</td>
<td align="center">0.012&#x2a;&#x2a;&#x2a;</td>
<td align="center">0.009&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left"/>
<td align="center">(0.057)</td>
<td align="center">(0.002)</td>
<td align="center">(0.002)</td>
</tr>
<tr>
<td align="left">ROAD-LOCO</td>
<td align="center">0.085&#x2a;&#x2a;&#x2a;</td>
<td align="center">0.096&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2212;0.112</td>
</tr>
<tr>
<td align="left"/>
<td align="center">(0.000)</td>
<td align="center">(0.000)</td>
<td align="center">(0.091)</td>
</tr>
<tr>
<td align="left">RAIL-LOCO</td>
<td align="center">0.089&#x2a;&#x2a;&#x2a;</td>
<td align="center">2.210</td>
<td align="center">3.041&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left"/>
<td align="center">(0.009)</td>
<td align="center">(0.505)</td>
<td align="center">(0.000)</td>
</tr>
<tr>
<td align="left">ECT</td>
<td align="center">0.0382&#x2a;&#x2a;</td>
<td align="center">0.124&#x2a;&#x2a;&#x2a;</td>
<td align="center">0.132&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left"/>
<td align="center">(0.012)</td>
<td align="center">(0.132)</td>
<td align="center">(0.023)</td>
</tr>
<tr>
<td align="left">EGB</td>
<td align="center">&#x2014;</td>
<td align="center">0.425&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2014;</td>
</tr>
<tr>
<td align="left"/>
<td align="center">&#x2014;</td>
<td align="center">(0.127)</td>
<td align="center">&#x2014;</td>
</tr>
<tr>
<td align="left">ERDE</td>
<td align="center">&#x2014;</td>
<td align="center">&#x2212;2.1705&#x2a;</td>
<td align="center">&#x2014;</td>
</tr>
<tr>
<td align="left"/>
<td align="center">&#x2014;</td>
<td align="center">(0.470)</td>
<td align="center">&#x2014;</td>
</tr>
<tr>
<td align="left">ETAX</td>
<td align="center">&#x2014;</td>
<td align="center">0.314&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2014;</td>
</tr>
<tr>
<td align="left"/>
<td align="center">&#x2014;</td>
<td align="center">(0.847)</td>
<td align="center">&#x2014;</td>
</tr>
<tr>
<td align="left">RAIL-ELECTRIC</td>
<td align="center">&#x2014;</td>
<td align="center">&#x2014;</td>
<td align="center">0.546&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left"/>
<td align="center">&#x2014;</td>
<td align="center">&#x2014;</td>
<td align="center">(0.127)</td>
</tr>
<tr>
<td align="left">ROAD-ELECTRIC</td>
<td align="center">&#x2014;</td>
<td align="center">&#x2014;</td>
<td align="center">0.031&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left"/>
<td align="center">&#x2014;</td>
<td align="center">&#x2014;</td>
<td align="center">(0.082)</td>
</tr>
<tr>
<td align="left">ROAD-ELECT-SQU</td>
<td align="center">&#x2014;</td>
<td align="center">&#x2014;</td>
<td align="center">&#x2212;0.001&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left"/>
<td align="center">&#x2014;</td>
<td align="center">&#x2014;</td>
<td align="center">(0.142)</td>
</tr>
<tr>
<td align="left">EGB&#x2a;ETAX</td>
<td align="center">&#x2014;</td>
<td align="center">-0.002&#x2a;&#x2a;</td>
<td align="center">&#x2014;</td>
</tr>
<tr>
<td align="left"/>
<td align="center">&#x2014;</td>
<td align="center">(0.032)</td>
<td align="center">&#x2014;</td>
</tr>
<tr>
<td align="left">Observations</td>
<td align="center">630</td>
<td align="center">630</td>
<td align="center">630</td>
</tr>
<tr>
<td align="left">R-squared</td>
<td align="center">0.639</td>
<td align="center">0.316</td>
<td align="center">0.355</td>
</tr>
<tr>
<td align="left">Number of groups</td>
<td align="center">35</td>
<td align="center">35</td>
<td align="center">35</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>Note: &#x2a;, &#x2a;&#x2a;, and &#x2a;&#x2a;&#x2a; denote 10, 5 and 1% significance level. The standard errors are in parentheses.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>We then carry out the D&#x26;H panel causality test to estimate the causal association (<xref ref-type="bibr" rid="B13">Dumitrescu and Hurlin, 2012</xref>). The outcomes are given in <xref ref-type="table" rid="T9">Table 9</xref>. Road movement and TCO<sub>2</sub> and environmental taxes and TCO<sub>2</sub> have bidirectional causality. Therefore, any policy shock in road movement and environmental taxes can substantially affect TCO<sub>2</sub> and vice versa. For instance, an increase in CO<sub>2</sub> emissions requires higher amount of environmental taxes (that are source of environmental revenue) (<xref ref-type="bibr" rid="B60">Tao et al., 2021</xref>). Conversely, one-way causality to TCO<sub>2</sub> cannot be reversed among variables such as transport energy consumption, environmental government budget, and road locomotive. <xref ref-type="bibr" rid="B61">Tao and Wu. (2021)</xref> also support that any policy change in transport energy consumption cannot affect TCO<sub>2</sub> emissions indicating that the transport energy consumption independently does work in its own mechanism without being affected by external factors.</p>
<table-wrap id="T9" position="float">
<label>TABLE 9</label>
<caption>
<p>Panel Causality Test Results.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Null Hypothesis</th>
<th align="left">W-statistics</th>
<th align="left">Zbar-statistics</th>
<th align="left">Prob</th>
<th align="center">Conclusion</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">TCO<sub>2</sub> <inline-formula id="inf38">
<mml:math id="m54">
<mml:mi mathvariant="normal">&#x21ae;</mml:mi>
</mml:math>
</inline-formula> ROADMOV</td>
<td align="char" char=".">1.323&#x2a;&#x2a;&#x2a;</td>
<td align="char" char=".">0.343</td>
<td align="char" char=".">0.000</td>
<td align="left"/>
</tr>
<tr>
<td align="left">ROADMOV <inline-formula id="inf39">
<mml:math id="m55">
<mml:mi mathvariant="normal">&#x21ae;</mml:mi>
</mml:math>
</inline-formula> TCO<sub>2</sub>
</td>
<td align="char" char=".">1.237&#x2a;&#x2a;&#x2a;</td>
<td align="char" char=".">0.432</td>
<td align="char" char=".">0.000</td>
<td align="left">ROADMOV <inline-formula id="inf40">
<mml:math id="m56">
<mml:mo>&#x2192;</mml:mo>
</mml:math>
</inline-formula> TCO<sub>2</sub>
</td>
</tr>
<tr>
<td align="left">TCO<sub>2</sub> <inline-formula id="inf41">
<mml:math id="m57">
<mml:mi mathvariant="normal">&#x21ae;</mml:mi>
</mml:math>
</inline-formula> RAILMOV</td>
<td align="char" char=".">1.543</td>
<td align="char" char=".">0.733</td>
<td align="char" char=".">0.234</td>
<td align="left"/>
</tr>
<tr>
<td align="left">RAILMOV <inline-formula id="inf42">
<mml:math id="m58">
<mml:mi mathvariant="normal">&#x21ae;</mml:mi>
</mml:math>
</inline-formula> TCO<sub>2</sub>
</td>
<td align="char" char=".">1.454&#x2a;&#x2a;&#x2a;</td>
<td align="char" char=".">0.873</td>
<td align="char" char=".">0.000</td>
<td align="left">RAILMOV <inline-formula id="inf43">
<mml:math id="m59">
<mml:mo>&#x2192;</mml:mo>
</mml:math>
</inline-formula> TCO<sub>2</sub>
</td>
</tr>
<tr>
<td align="left">TCO<sub>2</sub> <inline-formula id="inf44">
<mml:math id="m60">
<mml:mi mathvariant="normal">&#x21ae;</mml:mi>
</mml:math>
</inline-formula> ECT</td>
<td align="char" char=".">2.1230</td>
<td align="char" char=".">0.3638</td>
<td align="char" char=".">0.7160</td>
<td align="left"/>
</tr>
<tr>
<td align="left">ECT <inline-formula id="inf45">
<mml:math id="m61">
<mml:mi mathvariant="normal">&#x21ae;</mml:mi>
</mml:math>
</inline-formula> TCO<sub>2</sub>
</td>
<td align="char" char=".">1.4327&#x2a;&#x2a;&#x2a;</td>
<td align="char" char=".">-1.6781</td>
<td align="char" char=".">0.0033</td>
<td align="left">ECT <inline-formula id="inf46">
<mml:math id="m62">
<mml:mo>&#x2192;</mml:mo>
</mml:math>
</inline-formula> TCO<sub>2</sub>
</td>
</tr>
<tr>
<td align="left">TCO<sub>2</sub> <inline-formula id="inf47">
<mml:math id="m63">
<mml:mi mathvariant="normal">&#x21ae;</mml:mi>
</mml:math>
</inline-formula> ROLOC</td>
<td align="char" char=".">1.554</td>
<td align="char" char=".">0.432</td>
<td align="char" char=".">0.432</td>
<td align="left"/>
</tr>
<tr>
<td align="left">ROLOC <inline-formula id="inf48">
<mml:math id="m64">
<mml:mi mathvariant="normal">&#x21ae;</mml:mi>
</mml:math>
</inline-formula> TCO<sub>2</sub>
</td>
<td align="char" char=".">1.654&#x2a;&#x2a;&#x2a;</td>
<td align="char" char=".">0.232</td>
<td align="char" char=".">0.000</td>
<td align="left">ROLOC <inline-formula id="inf49">
<mml:math id="m65">
<mml:mo>&#x2192;</mml:mo>
</mml:math>
</inline-formula> TCO<sub>2</sub>
</td>
</tr>
<tr>
<td align="left">TCO<sub>2</sub> <inline-formula id="inf50">
<mml:math id="m66">
<mml:mi mathvariant="normal">&#x21ae;</mml:mi>
</mml:math>
</inline-formula> EGB</td>
<td align="char" char=".">2.006</td>
<td align="char" char=".">0.0177</td>
<td align="char" char=".">0.9859</td>
<td align="left"/>
</tr>
<tr>
<td align="left">EGB <inline-formula id="inf51">
<mml:math id="m67">
<mml:mi mathvariant="normal">&#x21ae;</mml:mi>
</mml:math>
</inline-formula> TCO<sub>2</sub>
</td>
<td align="char" char=".">3.3591&#x2a;&#x2a;&#x2a;</td>
<td align="char" char=".">4.0204</td>
<td align="char" char=".">0.0001</td>
<td align="left">EGB <inline-formula id="inf52">
<mml:math id="m68">
<mml:mo>&#x2192;</mml:mo>
</mml:math>
</inline-formula> TCO<sub>2</sub>
</td>
</tr>
<tr>
<td align="left">TCO<sub>2</sub> <inline-formula id="inf53">
<mml:math id="m69">
<mml:mi mathvariant="normal">&#x21ae;</mml:mi>
</mml:math>
</inline-formula> ERDE</td>
<td align="char" char=".">1.343</td>
<td align="char" char=".">0.393</td>
<td align="char" char=".">0.0898</td>
<td align="left"/>
</tr>
<tr>
<td align="left">ERDE <inline-formula id="inf54">
<mml:math id="m70">
<mml:mi mathvariant="normal">&#x21ae;</mml:mi>
</mml:math>
</inline-formula> TCO<sub>2</sub>
</td>
<td align="char" char=".">1.543&#x2a;&#x2a;&#x2a;</td>
<td align="char" char=".">0.493</td>
<td align="char" char=".">0.000</td>
<td align="left"/>
</tr>
<tr>
<td align="left">TCO<sub>2</sub> <inline-formula id="inf55">
<mml:math id="m71">
<mml:mi mathvariant="normal">&#x21ae;</mml:mi>
</mml:math>
</inline-formula> ETAX</td>
<td align="char" char=".">3.4939&#x2a;&#x2a;&#x2a;</td>
<td align="char" char=".">4.4189</td>
<td align="char" char=".">0.0000</td>
<td align="left">ETAX <inline-formula id="inf56">
<mml:math id="m72">
<mml:mo>&#x2194;</mml:mo>
</mml:math>
</inline-formula> TCO<sub>2</sub>
</td>
</tr>
<tr>
<td align="left">ETAX <inline-formula id="inf57">
<mml:math id="m73">
<mml:mi mathvariant="normal">&#x21ae;</mml:mi>
</mml:math>
</inline-formula> TCO<sub>2</sub>
</td>
<td align="char" char=".">6.9714&#x2a;&#x2a;&#x2a;</td>
<td align="char" char=".">14.7057</td>
<td align="char" char=".">0.0000</td>
<td align="left"/>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>Source: author&#x2019;s calculations.</p>
</fn>
<fn>
<p>Note: &#x201c;<inline-formula id="inf58">
<mml:math id="m74">
<mml:mo>&#x2192;</mml:mo>
</mml:math>
</inline-formula>&#x201d;indicates one-way causality, while &#x201c;<inline-formula id="inf59">
<mml:math id="m75">
<mml:mo>&#x2194;</mml:mo>
</mml:math>
</inline-formula>&#x201d; two-way causality between the variables.</p>
</fn>
</table-wrap-foot>
</table-wrap>
</sec>
</sec>
<sec sec-type="conclusion" id="s5">
<title>Conclusion</title>
<p>We investigate the role of traffic and transport energy consumption in the release of TCO2 and examine the effect of environmental expenditures and green transport of OECD countries from 2000 to 2020. We employ the second-generation empirical tools by <xref ref-type="bibr" rid="B47">Pesaran. (2004)</xref> and Pesaran and Yamagata (2008) to check the CD and heterogeneity, respectively. We also employ the unit root tests of CIPS and CADF by <xref ref-type="bibr" rid="B45">Pesaran. (2007)</xref>. To examine the long-run equilibrium association among the variables, we adopt the <xref ref-type="bibr" rid="B67">Westerlund. (2007)</xref> cointegration technique.</p>
<p>We find a CD issue presence in the dataset, and the model is suffering from slope heterogeneity. Consequently, the long-run relationship persists between the variables suggested by the cointegration technique. The findings from the CS-ARDL test show that traffic movement (i.e. road and railway) escalates TCO2. Extensive use of road and railway locomotives augments CO2 emissions. The findings further reveal that transport energy consumption has a remarkable effect on CO2 emissions, which means that energy consumption in the transport sector is a driving factor of CO2 emissions. The joint effect of traffic locomotives (road and railway) and transport energy consumption substantially effects TCO2 as well.</p>
<p>Additionally, environmental government budget greatly diminishes TCO2 through the R&#x26;D channel, which stimulates the innovations related to environmental mitigation. R&#x26;D expenditures generate innovations or new technology. On the contrary, road and railway vehicles (green transport) substantially degrade TCO2. More precisely, electric vehicles are a better alternative strategy to mitigate TCO2 in OECD countries.</p>
<p>Lastly, the causality results (D&#x26;H) portray that any policy that targets road movement and environmental taxes significantly changes TCO2 and vice versa. Any policy related to transport energy consumption, road locomotives, and environmental government budget remarkably change TCO2. On the contrary, any supporting policy to TCO2 does not affect road locomotives and environmental government budget.</p>
</sec>
<sec id="s6">
<title>Policy Implications</title>
<p>After concluding the findings, this study recommends the following policy implications for transport experts/economists, urban planners, and transport modelers. First, the results reveal that policymakers in OECD countries should take radical steps to moderate the traffic movement, particularly road movements, to curb the deterioration of the environment. The movement of vehicles on the road must be controlled by transport institutes. The movement strategy can reduce CO2 emissions approximately 18.3 and 11% for road and rail movement respectively (ref. <xref ref-type="table" rid="T6">Table 6</xref>). Second, government bodies or transport experts/policymakers should reduce 78.3 and 19.3% road and rail locomotives to improve better environment. Third, the governments of the OECD countries should increase their budget by 12.1% on average related to the environment to control CO2 emissions (ref. <xref ref-type="table" rid="T7">Table 7</xref>). A better expenditure strategy related to the environment can be devised to preserve nonrenewable resources. Fourth, green transport (railway and road electric vehicles) should be produced around 59.85 and 52.25% by the OECD countries respectively (ref. <xref ref-type="table" rid="T7">Table7</xref>). Fifth, the policy related to environmental taxes and R&#x26;D expenditures must be planned for the long run to achieve desirable consequences. Sixth, urban planners must design the transport infrastructure at city level, where traffic movements could be to avoid the releasing of CO2 emissions. Seventh, transport modelers can formulate a policy by considering the demand for and supply of products of green transport e.g., electric vehicles. Transport experts (producers) should reduce the production of rail and road locomotives, as these consume a greater amount of energy during movements. Furthermore, they should control traffic movements within the urban areas that cause the transport carbon emissions.</p>
<p>The limitations of this study are as follows: This study is limited to OECD countries. Only road and railway traffic movements, energy use, green transport, and environmental expenditures are considered to estimate the effect on TCO2. More specifically, transport sector has other factors such as transport household expenditure, transport infrastructure stock, transport logistics performance. It can be reasoned that these factors have been entrenched in/by traffic that directly or indirectly cause environmental degradation. In addition, the current study focuses on the OECD countries and it would be appropriate to enlarge the investigation to other countries e.g., BRICS, OBOR, or emerging economies and non-OECD as well. This research can be extended in the future by including environmental technology, agglomeration of population, and institutional quality. In particular, investigating the effects of green financing, green transportation, and green technology including emerging economies can provide policy makers/practitioners with more specific insights.</p>
</sec>
</body>
<back>
<sec id="s7">
<title>Data Availability Statement</title>
<p>Publicly available datasets were analyzed in this study. This data can be found here: <ext-link ext-link-type="uri" xlink:href="https://stats.oecd.org">https://stats.oecd.org</ext-link>.</p>
</sec>
<sec id="s8">
<title>Author Contributions</title>
<p>ZH conceived, carried out the literature review, and drafted the manuscript. MK, XZ, CM and WZ conceived, designed, and coordinated the study, and contributed to and finalized the draft. All authors read and approved the final manuscript.</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>
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