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<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Energy Res.</journal-id>
<journal-title>Frontiers in Energy Research</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Energy Res.</abbrev-journal-title>
<issn pub-type="epub">2296-598X</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="publisher-id">848800</article-id>
<article-id pub-id-type="doi">10.3389/fenrg.2022.848800</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Energy Research</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Evaluation of the Effects of Urbanization on Carbon Emissions: The Transformative Role of Government Effectiveness</article-title>
<alt-title alt-title-type="left-running-head">Chen et&#x20;al.</alt-title>
<alt-title alt-title-type="right-running-head">Urbanization and Carbon Emissions</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Chen</surname>
<given-names>Fuzhong</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1419116/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Liu</surname>
<given-names>Aiwen</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1623621/overview"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Lu</surname>
<given-names>Xiuli</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1623828/overview"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Zhe</surname>
<given-names>Ru</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1624633/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Tong</surname>
<given-names>Jiachen</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1623638/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Akram</surname>
<given-names>Rabia</given-names>
</name>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1611402/overview"/>
</contrib>
</contrib-group>
<aff id="aff1">
<sup>1</sup>
<institution>School of International Trade and Economics</institution>, <institution>University of International Business and Economics</institution>, <addr-line>Beijing</addr-line>, <country>China</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>School of Economics</institution>, <institution>Minzu University of China</institution>, <addr-line>Beijing</addr-line>, <country>China</country>
</aff>
<aff id="aff3">
<sup>3</sup>
<institution>School of Business</institution>, <institution>Guilin University of Electronic Technology</institution>, <addr-line>Guilin</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/1308445/overview">Minda Ma</ext-link>, Tsinghua University, China</p>
</fn>
<fn fn-type="edited-by">
<p>
<bold>Reviewed by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1624153/overview">Muhammad Tufail</ext-link>, Xi&#x2019;an Jiaotong University, China</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1630564/overview">Salman Wahab</ext-link>, Qingdao University, China</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Fuzhong Chen, <email>uibesitechen@126.com</email>; Xiuli Lu, <email>lqq2346@163.com</email>; Ru Zhe, <email>zheru2001@hotmail.com</email>
</corresp>
<fn fn-type="other">
<p>This article was submitted to Sustainable Energy Systems and Policies, a section of the journal Frontiers in Energy Research</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>17</day>
<month>02</month>
<year>2022</year>
</pub-date>
<pub-date pub-type="collection">
<year>2022</year>
</pub-date>
<volume>10</volume>
<elocation-id>848800</elocation-id>
<history>
<date date-type="received">
<day>05</day>
<month>01</month>
<year>2022</year>
</date>
<date date-type="accepted">
<day>25</day>
<month>01</month>
<year>2022</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2022 Chen, Liu, Lu, Zhe, Tong and Akram.</copyright-statement>
<copyright-year>2022</copyright-year>
<copyright-holder>Chen, Liu, Lu, Zhe, Tong and Akram</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&#x20;terms.</p>
</license>
</permissions>
<abstract>
<p>With the rapid economic growth and urbanization, the environment is continuously degrading, and the problem of global warming caused by increasing carbon emissions has been highly highlighted. Utilizing panel data of the Organization for Economic Cooperation and Development (OECD) countries from 1996 to 2018, this study aims to evaluate the effects of urbanization on carbon emissions and explore the transformative role of government effectiveness. To produce more accurate estimates, the approach of the feasible generalized least squares is employed, and the heteroskedastic and correlated errors are considered due to the significant differences among the OECD countries. The results suggest an inverted U-shaped nexus between urbanization and carbon emissions, and for most OECD countries, the enhancement of urbanization is positive to increase carbon emissions. Besides, urbanization positively contributes to government effectiveness. As a transformator, government effectiveness negatively contributes to the effects of urbanization on increasing carbon emissions. That is, with the advancement of government effectiveness, the positive role of urbanization in emitting more carbon dioxide will be transformed to help the OECD countries mitigate carbon emissions. Hence, the findings are informative for policymakers to take effective measures to accelerate the process of urbanization and formulate active measures to improve government effectiveness, thereby decreasing carbon emissions and further mitigating global warming.</p>
</abstract>
<kwd-group>
<kwd>carbon emissions</kwd>
<kwd>urbanization</kwd>
<kwd>government effectiveness</kwd>
<kwd>transformative role</kwd>
<kwd>nonlinear associations</kwd>
<kwd>feasible generalized least squares</kwd>
</kwd-group>
</article-meta>
</front>
<body>
<sec id="s1">
<title>Introduction</title>
<p>In recent decades, the global climate has deteriorated, and global warming has been highly highlighted (<xref ref-type="bibr" rid="B76">Zhou et&#x20;al., 2013</xref>). With the rapid development of economic globalization and foreign trade, remarkable achievements have been made. However, economic growth comes with a large amount of energy consumption and carbon emissions, resulting in severe environmental pollution problems. Environmental degradation is prominent with the continuous increase of carbon emissions, global warming, and other climate problems. The long-run economic growth helps improve the environmental quality and reduce environmental degradation, while population growth worsens the environmental degradation (<xref ref-type="bibr" rid="B1">Adem et&#x20;al., 2020</xref>). As global surface temperatures increase, so does the likelihood of extreme weather. Warming winters coupled with cooling springs of the past decade are positively related to global warming (<xref ref-type="bibr" rid="B60">Shao, 2016</xref>). In addition, urbanization is closely associated with carbon emissions. Also, cities are the main body of greenhouse gas emissions and an important field for decreasing carbon emissions. Urbanization provides market demand pulling forces for economic development that accompanies energy consumption and carbon emissions. The urbanization and adjustment of industrial structure in urban development are the main driving factors of energy consumption and carbon emissions. This study, therefore, aims to examine the associations between urbanization and carbon emissions, which is greatly significant for deepening green development and realizing low-carbon transition.</p>
<p>With the advancement of global economic integration, urbanization has also been accelerating, affecting carbon emissions. In the recent decade, many previous studies focused on the relationships between urbanization and carbon emissions. However, the extant literature has not reached a consistent conclusion. Firstly, some prior studies claim that urbanization undoubtedly increases carbon emissions. For instance, <xref ref-type="bibr" rid="B24">Glaeser and Kahn (2004)</xref> argued that urbanization is vital to bring about a rapid expansion of the size of urban areas, helping reduce urban population density and increase the daily travel distance of urban residents. Thus, private cars are more likely to be frequently used, which is positive to increase carbon emissions. Besides, utilizing data from more than 80 countries over the past 2&#xa0;decades, <xref ref-type="bibr" rid="B57">Sadorsky (2014)</xref> employed the Stochastic Impacts by Regression on Population, Affluence, and Technology (STIRPAT) model to analyze the impact of population factors on pollution. The result reveals that the higher the urbanization level, the more carbon emissions increase. Simultaneously, some previous studies also provide evidence to support that urbanization plays a pivotal role in decreasing carbon emissions. Using data from 45 major cities, <xref ref-type="bibr" rid="B10">Chen et&#x20;al. (2008)</xref> suggested that low population density makes the use of infrastructure and public transportation inefficient, so increasing urbanization will help reduce per capita carbon emissions. By dividing more than 8,000 Austrian households into urban, semi-urban, and rural area groups, <xref ref-type="bibr" rid="B52">Mu&#xf1;oz et&#x20;al. (2020)</xref> indicated that residents in urban areas have the lowest carbon footprint. Also, <xref ref-type="bibr" rid="B71">Zhang et&#x20;al. (2020)</xref> claimed that urbanization has an economy of scale effect, which has become the main factor driving the development of non-fossil energy, which positively contributes to mitigating carbon emissions. To the best of our knowledge, only a few previous studies have explored the nonlinear associations between urbanization and emissions of carbon dioxide. For instance, utilizing data from 88 developing countries within 30&#xa0;years, <xref ref-type="bibr" rid="B50">Mart&#xed;nez-Zarzoso and Maruotti (2011)</xref> suggested an inverted U-shaped relationship between urban population density and carbon emissions. Unlike most prior studies, this study not only assumes that the associations between urbanization and carbon emissions are nonlinear but also further calculates the critical values of urbanization.</p>
<p>A large number of previous studies have addressed the direct effects of urbanization on carbon emissions. For instance, <xref ref-type="bibr" rid="B4">Ali et&#x20;al. (2017)</xref> suggested that urbanization enhances environmental quality by reducing carbon emissions but is not an obstacle when initiating policies employed to prevent environmental degradation. Utilizing panel data of China&#x2019;s 30 provinces from 2000 to 2016, <xref ref-type="bibr" rid="B62">Sun and Huang (2020)</xref> evaluated the carbon emission efficiency, and the results show that there is an inverted U-shaped association between urbanization and carbon emission efficiency. Nevertheless, investigating the indirect impacts of urbanization on carbon emissions, especially the indirect effects resulting from government policy intervention, helps formulate effective measures to mitigate environmental degradation. For instance, voluntary corporate climate governance efforts are essential, but not sufficient for meaningful decarbonization. Deep decarbonization will require governments to re-integrate direct carbon reduction prescriptions alongside indirect enabling climate policies (<xref ref-type="bibr" rid="B45">Lister, 2018</xref>). Therefore, it is necessary to strengthen government intervention in the carbon emission market. Unlike prior studies, this study further explores the transformative role of government effectiveness in the process of urbanization on carbon emissions.</p>
<p>Utilizing panel data of the Organization for Economic Cooperation and Development (OECD) countries from 1996 to 2018, this study aims to evaluate the impacts of urbanization on carbon emissions. The OECD is an intergovernmental international economic organization composed of 36 countries, which aims to jointly address the economic, social, and governance challenges and seize opportunities brought by globalization. As major developed and developing countries are included, this study selects the OECD countries as the sample, which is highly representative. The purpose of this study is to investigate the impacts of urbanization on carbon emissions, and the transformative role of government effectiveness is also examined. The remainder of this study is organized as follows. <italic>Literature review and hypotheses</italic> reviews related literature and puts forward research hypotheses. <italic>Methodology</italic> specifies the econometric models and statistically describes the data. <italic>Empirical analysis</italic> presents the empirical results and performs the robustness check. <italic>Further discussions</italic> verifies the indirect effects of urbanization on carbon emissions <italic>via</italic> the transformative role of government effectiveness. <italic>Conclusion and implications</italic> outline the empirical results and highlight policy recommendations.</p>
</sec>
<sec id="s2">
<title>Literature Review and Hypotheses</title>
<sec id="s2-1">
<title>Previous Research on Urbanization and Carbon Emissions</title>
<p>Urbanization is considered to be a process during which most of the working population changes from farmers to a non-rural population, increasing the urban population. Urbanization is becoming the most important human social change globally, especially in developing countries (<xref ref-type="bibr" rid="B25">Gu, 2019</xref>). Urbanization is the inevitable result of social and economic development and the performance of social progress. The level of urbanization in a country or region reflects its degree of socio-economic development. Since a city often plays the role of an economic center, it drives the economic development of neighboring areas, and simultaneously, the improvement of the regional economic level will in turn promote the development of the city. China&#x2019;s urbanization has been a notable global event (<xref ref-type="bibr" rid="B11">Chen et&#x20;al., 2016</xref>). Specially, China has witnessed a rapid improvement in its urbanization level recently (<xref ref-type="bibr" rid="B71">Zhang et&#x20;al., 2020</xref>). Since the reform and opening up, especially with establishing the socialist market economic system, China&#x2019;s national economy has achieved rapid growth, and the process of urbanization began to accelerate. The rapid development of urbanization has injected new vitality into China&#x2019;s politics, economy, and culture, but at the same time, China&#x2019;s urbanization lags behind industrialization. In addition, with the acceleration of urbanization, environmental problems have also been highlighted. There is burgeoning literature dealing with the associations between urbanization and carbon emissions, which is informative and significant to the development of low-carbon cities (<xref ref-type="bibr" rid="B67">Xu et&#x20;al., 2018</xref>). Yet the extant literature in related fields has diverged, and no unanimous conclusions have been reached. Several studies have documented that urbanization is positive to promote carbon emissions, while there are also prior studies that conclude that urbanization can reduce carbon emissions.</p>
<p>Firstly, previous research recognizes the critical role of urbanization in increasing carbon emissions. Prior studies usually divide urbanization into several dimensions, such as economic, land, and population urbanization, to discuss their effects on carbon emissions (<xref ref-type="bibr" rid="B74">Zhang and Xu, 2017</xref>; <xref ref-type="bibr" rid="B13">Chen et&#x20;al., 2020</xref>; <xref ref-type="bibr" rid="B33">Ji et&#x20;al., 2020</xref>). The impacts of urbanization on carbon emissions vary with different subsystems of urbanization. For instance, <xref ref-type="bibr" rid="B77">Zhou et&#x20;al. (2019)</xref> suggested a Kuznets curve relationship between economic urbanization and carbon emissions, and they also claimed that energy consumption related to land urbanization greatly contributes to the increase in carbon emissions. Besides, urban expansion is more significant than economic growth in promoting carbon emissions (<xref ref-type="bibr" rid="B72">Zhang et&#x20;al., 2021</xref>). Population and gross regional domestic product (GRDP) are positively correlated with carbon emissions, and the entire built-up and urban road areas are positively correlated with carbon emissions (<xref ref-type="bibr" rid="B55">Pu et&#x20;al., 2020</xref>; <xref ref-type="bibr" rid="B73">Zhang et&#x20;al., 2022</xref>). Using the heterogeneous panel cointegration test, there is a long-run equilibrium cointegration relationship between urbanization and carbon emissions. Moreover, empirical results indicate that in the long term, urbanization Granger causes carbon emissions (<xref ref-type="bibr" rid="B63">Wang et&#x20;al., 2016</xref>). A unidirectional causal relation is found running from urbanization to direct and indirect household carbon emissions, with the direct and indirect carbon emissions of households increasing 2.9 and 1.1% for every increase of 1% in urbanization (<xref ref-type="bibr" rid="B40">Li et&#x20;al., 2015</xref>). Utilizing the approaches of the mean group (MG), pooled mean group (PMG), and dynamic fixed effect (DFE) estimation, <xref ref-type="bibr" rid="B61">Sheng and Guo (2016)</xref> indicated that rapid urbanization increases carbon emissions both in the short and long&#x20;run.</p>
<p>However, the second vast strand of literature has documented the mitigating effects of urbanization on carbon emissions. The level of urbanization is negatively associated with the carbon emissions of cities. In other words, the higher the level of urbanization, the fewer carbon emissions. While energy use is one of the main driving forces of ascending carbon emissions, urbanization contributes to reducing carbon emissions (<xref ref-type="bibr" rid="B48">Ma et&#x20;al., 2019b</xref>; <xref ref-type="bibr" rid="B8">Balsalobre-Lorente et&#x20;al., 2021</xref>). Using panel data of China&#x2019;s 30&#x20;provincial-level regions from 2001 to 2014, <xref ref-type="bibr" rid="B69">Yao et&#x20;al. (2018)</xref> employed the threshold regression and mediating effect model to investigate the impacts of the urbanization process on carbon emissions. The results show that urbanization can present an abatement effect on carbon emissions. <xref ref-type="bibr" rid="B65">Wang et&#x20;al. (2021)</xref> claimed that urbanization decreases carbon emissions, but the impact is weak in the OECD countries since developed economies have achieved the decoupling of urbanization and carbon emissions. To be more specific, <xref ref-type="bibr" rid="B47">Ma et&#x20;al. (2019a)</xref> argued that at the scale of urban agglomeration, some regions in China have decoupled from economic development. Also, the indirect effects of population and land urbanization on regional carbon emissions are statistically negative (<xref ref-type="bibr" rid="B62">Sun and Huang, 2020</xref>; <xref ref-type="bibr" rid="B16">Chen et&#x20;al., 2022</xref>). Additionally, previous studies also investigate the impacts of urbanization on carbon emissions specific to urban industrial sectors. For instance, using panel data of China&#x2019;s 30 provinces from 2000 to 2015, <xref ref-type="bibr" rid="B30">Huo et&#x20;al. (2020)</xref> examined the effects of urbanization on carbon emissions from the perspectives of the population, economy, and space, revealing that urban population and building floor space contribute negatively to carbon emissions in the urban building sector.</p>
<p>Moreover, there is still little literature focusing on the nonlinear impacts of urbanization on carbon emissions. <xref ref-type="bibr" rid="B2">Ahmed et&#x20;al. (2019)</xref> analyzed the nonlinear relationship between urbanization and carbon emissions from 1971 to 2014 in Indonesia, and the results unveil an inverted U-shaped nexus between urbanization and carbon emissions. Before reaching the critical value, carbon emissions will increase with the growth of urbanization. After reaching the critical value, the increase in urbanization will reduce carbon emissions. For developing countries, urbanization means more energy consumption, which will increase carbon emissions. With the advancement of urbanization for developed countries, the awareness of environmentally friendly development will increase, and the government will be required to improve effectiveness to mitigate carbon emissions. Thus, this study proposes the following hypothesis:</p>
<p>
<statement>
<p>Hypothesis 1 (H1). Given economic resources and other control variables, urbanization nonlinearly contributes to carbon emissions.</p>
</statement>
</p>
</sec>
<sec id="s2-2">
<title>Prior Studies on Other Factors Affecting Carbon Emissions</title>
<p>A large and growing body of literature has explored the influence channels of urbanization on carbon emissions. First of all, in the process of urbanization, as the overall economic scale increases, carbon emissions will rise. But when economic growth changes from extensive to low-carbon type, the efficiency of energy use will be improved and carbon emissions tend to decrease (<xref ref-type="bibr" rid="B62">Sun and Huang, 2020</xref>). Specifically, when external shocks like the economic effects of the financial crisis, the flow trend of carbon emissions are likely to reverse (<xref ref-type="bibr" rid="B51">Mi et&#x20;al., 2017</xref>). Furthermore, with economic development, various industrial structures have different effects on carbon emissions. The transition from agriculture to industry and services, and the co-evolution of population migration from rural to urban areas, have brought about an increase in energy consumption in three ways (<xref ref-type="bibr" rid="B35">Jones, 1991</xref>). The first is the mechanization of agricultural operations and the reduction in labor intensity; the second is to separate food consumers from food producers in space, making transportation demand inevitable; and the third is that modern manufacturing sectors use more energy than traditional agriculture sectors. Results from earlier studies have indicated that the tertiary industry&#x2019;s carbon emission efficiency is greater than that of the primary and secondary industries, and the industry, construction, and transportation are the main sectors that will increase energy consumption and carbon emissions (<xref ref-type="bibr" rid="B46">Ma et&#x20;al., 2016</xref>). Besides, with the progress of industrialization, both technological development and management factors have played vital roles in carbon emissions (<xref ref-type="bibr" rid="B18">Cui and Li, 2015</xref>). If the carbon emission efficiency is decomposed into technical efficiency, industrial efficiency, and management efficiency, the management efficiency is the main cause of low carbon emissions in developed regions and industries, and the advancement of technology is the leading factor that promotes the improvement of carbon emission efficiency (<xref ref-type="bibr" rid="B64">Wang et&#x20;al., 2019</xref>).</p>
<p>In the process of urbanization, the size of the population also influences carbon emissions. Through elastic models such as the STIRPAT framework, <xref ref-type="bibr" rid="B53">O&#x2019;Neill et&#x20;al. (2012)</xref> argued that population growth will have an indirect impact on carbon emissions by affecting population indicators such as population density, age structure, and family size. Specifically, prior studies have suggested that <italic>via</italic> city-level and national-level data, population density affects the level of energy consumption in transportation and electricity consumption in buildings, which in turn affects the level of carbon emissions (<xref ref-type="bibr" rid="B39">Lafrance and Lafrance, 1999</xref>; <xref ref-type="bibr" rid="B49">Marcotullio et&#x20;al., 2012</xref>; <xref ref-type="bibr" rid="B44">Liddle, 2014</xref>; <xref ref-type="bibr" rid="B68">Yang et&#x20;al., 2020</xref>; <xref ref-type="bibr" rid="B42">Li et&#x20;al., 2022</xref>). In addition, utilizing micro-family-level and cross-country data, several studies have documented that energy consumption activities in transportation and housing vary with age structure and family size (<xref ref-type="bibr" rid="B43">Liddle, 2011</xref>; <xref ref-type="bibr" rid="B54">Okada, 2012</xref>).</p>
<p>Additionally, the scale of import, export, and cross-border investment will have a certain impact on carbon emissions. As an important driving factor of the national economy, foreign trade can reduce energy demand and emissions from energy consumption, and it is also one of the driving forces for improving carbon emission efficiency (<xref ref-type="bibr" rid="B58">Sbia et&#x20;al., 2014</xref>; <xref ref-type="bibr" rid="B68">Yang et&#x20;al., 2020</xref>). Besides, <xref ref-type="bibr" rid="B14">Chen et&#x20;al. (2021a)</xref> suggested that the increased trade openness of countries along the &#x201c;Belt and Road&#x201d; positive contributes to carbon emissions, and the degree of impact varies with the level of carbon emissions. Moreover, trade openness has a positive indirect impact on carbon emissions through economic effects, but a negative indirect impact through energy substitution and technological effects (<xref ref-type="bibr" rid="B14">Chen et&#x20;al., 2021a</xref>). Also, cross-border investment increases domestic production, thereby indirectly increasing carbon emissions (<xref ref-type="bibr" rid="B75">Zhang, 2011</xref>).</p>
</sec>
<sec id="s2-3">
<title>The Role of Government Effectiveness in the Effects of Urbanization on Carbon Emissions</title>
<p>Government effectiveness is defined to capture perceptions of the quality of public services, the quality of the civil service and the degree of its independence from political pressures, the quality of policy formulation and implementation, and the credibility of a government&#x2019;s commitment to such policies (<xref ref-type="bibr" rid="B36">Kaufmann et&#x20;al., 2011</xref>). With the rapid development of the modern economy, urbanization can also influence government effectiveness, which in turn plays a pivotal role in carbon emissions. On the one hand, urbanization promotes the soundness of the system, the advancement of technology, and the improvement of the quality of the population, which are the basis for improving government effectiveness. In particular, a government&#x2019;s use of technology to build smart cities can greatly improve government effectiveness. On the other hand, with the development of urbanization, the migration of population from rural to urban, economic and social construction, and the emergence of innovations will put forward higher requirements on the governance level of the economic system, social mechanisms, relevant laws, regulations, and urban construction, which requires a government to improve its effectiveness. In addition, in the process of urbanization, individuals have gradually met their basic living needs and improved their living standards, and then pursue a higher level of welfare satisfaction, which also requires an improvement in the level of government services. There are few studies on the associations between urbanization and government effectiveness. This study assumes that with the promotion of urbanization, government effectiveness will continuously improve, such as the level of formulating laws and regulations, the supervision of the market, the level of law enforcement, the implementation of policies, and government services. Therefore, the hypothesis is put forward as follows:</p>
<p>
<statement>
<p>Hypothesis 2 (H2). Urbanization is positively associated with government effectiveness; that is, as the level of urbanization rises, government effectiveness will be further improved.</p>
<p>Government effectiveness is considered an important factor in achieving sustainability of environmental policies, rational uses of natural resources, and environmental protections. Prior research has exhibited that with the increase in economic welfare in the process of urbanization, government governance and imports help mitigate carbon emissions (<xref ref-type="bibr" rid="B56">Ronaghi et&#x20;al., 2020</xref>). While imports may only transfer emissions from importing countries to exporting countries, improving government effectiveness is a key factor in decreasing pollution emissions. Therefore, a government has played a vital role in affecting the effects of urbanization on carbon emissions. Government effectiveness is considered to affect all areas of a country, such as economic development, the rule of law, regulatory quality, environmental protection, energy use, and the like (<xref ref-type="bibr" rid="B23">Gholipour and Farzanegan, 2018</xref>; <xref ref-type="bibr" rid="B15">Chen et&#x20;al., 2021b</xref>). By improving government effectiveness, such as adopting appropriate and sustainable policies, formulating compliance measures, implementing reasonable laws, and increasing illegal costs, governments tend to effectively adopt environmental protection and sustainable policies (<xref ref-type="bibr" rid="B32">Jayachandran, 2015</xref>). Hence, government effectiveness may, directly and indirectly, affect carbon emissions. Government effectiveness is a pivotal moderator in seeking a balance between urbanization development and carbon emissions.</p>
<p>Firstly, the effectiveness of government regulation affects carbon emissions and thereby plays a crucial role in environmental quality (<xref ref-type="bibr" rid="B20">Esty and Porter, 2005</xref>). Reasonable government regulation is the foundation of the market economy, and it plays a vital role in promoting the effective operation of the market (<xref ref-type="bibr" rid="B66">Wu, 2007</xref>). The effectiveness of governance, such as issuing government permits and licenses, taxation policies, market systems, laws, and regulations, helps control carbon emissions. To be more specific, prior studies have revealed that there are significant differences in the number of control measures that affect the level of carbon emissions in various countries, and all governance is affected by national decisions (<xref ref-type="bibr" rid="B26">Halkos and Tzeremes, 2013</xref>). Simultaneously, governments can formulate a reasonable index system on carbon emissions to guide the market economic activities. If there are clear rules, control measures for carbon emissions will be implemented more easily, which will benefit companies that comply with carbon emission regulations. Yet if there are loopholes in the rules, it may benefit companies that violate carbon emission regulations. Improving government effectiveness helps eliminate market failures, and proper governance specific to market activities is positive to promote the enhancement of carbon emission efficiency (<xref ref-type="bibr" rid="B31">Jalilian et&#x20;al., 2007</xref>).</p>
<p>Secondly, in the process of urbanization, a government&#x2019;s effective guidance to enterprises and individuals is also pivotal to alleviate carbon emissions. Governments with higher effectiveness usually pay more attention to environmentally friendly development, guiding enterprises to strengthen technological innovation in environmental protection, using more clean energy, and adopting technologies that minimize environmental damage for industrial production (<xref ref-type="bibr" rid="B34">Jingchao and Kotani, 2012</xref>; <xref ref-type="bibr" rid="B59">Sereenonchai et&#x20;al., 2017</xref>). Moreover, it can also use various measures to encourage individuals in cities to adopt a low-carbon and environmentally-friendly lifestyle, such as using more public transportation (<xref ref-type="bibr" rid="B27">Haustein and Hunecke, 2007</xref>; <xref ref-type="bibr" rid="B17">Ciotlaus et&#x20;al., 2017</xref>).</p>
<p>Thirdly, government fiscal expenditures also have an impact on carbon emissions. Previous studies have documented that industrialization, international trade, and technical levels are positive to improve carbon efficiency, while fiscal expenditure and energy consumption affect how close efficiency is to the optimal level (<xref ref-type="bibr" rid="B70">Zeng et&#x20;al., 2019</xref>). Government intervention has a positive impact on changes in carbon emission efficiency. Taking China as an example, <xref ref-type="bibr" rid="B62">Sun and Huang (2020)</xref> showed that governments guide the formulation and implementation of emission reduction plans, and fiscal expenditures in environmental upgrading have greatly encouraged the development and application of cleaner production technologies. The results also suggest that the intervention of China&#x2019;s government is effective and powerful, and government fiscal expenditure on environmental protection is the main impetus for the construction of a green economy.</p>
<p>Additionally, in addition to formulating and implementing policies, countries with higher government effectiveness can allocate more resources to promote society to reduce carbon emissions. A more effective government will have lower bureaucracy, more efficient public services, greater financial integrity, and stronger allocation capabilities of public resources (<xref ref-type="bibr" rid="B28">Heinrich, 1999</xref>; <xref ref-type="bibr" rid="B19">De Koker and Jentzsch, 2013</xref>). It also can gain the confidence of corporate producers and enforce laws and regulations related to carbon dioxide emissions with greater efforts (<xref ref-type="bibr" rid="B21">Gani, 2012</xref>). Moreover, government effectiveness can also affect participation in environmental protection. Previous research has claimed that there is a positive relationship between public participation in decision-making and judicial justice in environmental affairs (<xref ref-type="bibr" rid="B22">Gera, 2016</xref>). Meanwhile, governments can also create better conditions for non-governmental organizations concerning environmental protection (<xref ref-type="bibr" rid="B41">Li et&#x20;al., 2018</xref>). If national governance lacks coherence, it weakens the negotiation and interaction between civil society groups.</p>
<p>In light of the aforementioned discussions, the enhancement of government effectiveness negatively contributes to the effects of urbanization on carbon emissions. Therefore, government effectiveness plays a transformative role and positively changes the original pattern of urbanization affecting carbon emissions. Thus, this study hypothesizes as follows:</p>
</statement>
</p>
<p>
<statement>
<p>Hypothesis 3 (H3). The impacts of urbanization on carbon emissions are transformed by government effectiveness; that is, with the advancement of government effectiveness, the positive role of urbanization in emitting more carbon dioxide will transform to decrease carbon emissions.</p>
</statement>
</p>
</sec>
</sec>
<sec sec-type="methods" id="s3">
<title>Methodology</title>
<sec id="s3-1">
<title>The Conceptual Framework</title>
<p>Based on the aforementioned discussions in prior studies, the associations between urbanization and carbon emissions are assumed to be nonlinear. Therefore, there is a critical value specific to urbanization, below and above of which changes the impact of urbanization on carbon emissions. Furthermore, urbanization also has an indirect impact on carbon emissions through government effectiveness. On the one hand, with the advancement of urbanization, government effectiveness has been substantially enhanced. On the other hand, more effective governments help mitigate carbon emissions during the process of urbanization. Government effectiveness is considered to be a transformator in the channel of urbanization affecting carbon emissions. The conceptual framework of this study is displayed in <xref ref-type="fig" rid="F1">Figure&#x20;1</xref>.</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>The conceptual framework.</p>
</caption>
<graphic xlink:href="fenrg-10-848800-g001.tif"/>
</fig>
</sec>
<sec id="s3-2">
<title>Econometric Specifications</title>
<p>The purpose of this study is to evaluate the effects of urbanization on carbon emissions. Following the approach of <xref ref-type="bibr" rid="B9">Chen and Jiang (2021)</xref>, this study specifies the baseline model as follows:<disp-formula id="e1">
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<p>In <xref ref-type="disp-formula" rid="e1">Eq. 1</xref>, <italic>i</italic> and <italic>t</italic> denote the country and year, respectively. <italic>lncarbem</italic> stands for the dependent variable of carbon emissions. The independent variable of urbanization is represented by <italic>rurbpop</italic>, which is measured by the proportion of the urban population in total population. Meanwhile, <inline-formula id="inf1">
<mml:math id="m2">
<mml:mrow>
<mml:mi>&#x3b1;</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>&#x3b2;</mml:mi>
<mml:mo>,</mml:mo>
<mml:mtext>and</mml:mtext>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi>&#x3b3;</mml:mi>
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</inline-formula> are the coefficients of the constant term, urbanization (<italic>rurbpop</italic>), and control variables, respectively. <italic>N</italic> is the number of the control variables, and <inline-formula id="inf2">
<mml:math id="m3">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b5;</mml:mi>
<mml:mrow>
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</inline-formula> is the disturbance term. Besides, all country dummies <inline-formula id="inf3">
<mml:math id="m4">
<mml:mrow>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mi>&#x3bc;</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula> and year dummies <inline-formula id="inf4">
<mml:math id="m5">
<mml:mrow>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mi>&#x3c9;</mml:mi>
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</inline-formula> are included to produce more accurate estimates. Following the specification of <xref ref-type="bibr" rid="B5">Ali et&#x20;al. (2021)</xref> and <xref ref-type="bibr" rid="B29">Huang et&#x20;al. (2022)</xref>, the variables such as the exports of goods and services (<italic>lnexport</italic>), real GDP (<italic>lnrgdp</italic>), imports of goods and services (<italic>lnimport</italic>), gross savings (<italic>lngrosav</italic>), high-technology exports (<italic>lnhtexpt</italic>), the labor force (<italic>lnlabfor</italic>), and arable land (<italic>arland</italic>) are incorporated as control variables. Except for the variables of <italic>rurbpop</italic> and <italic>arland</italic>, this study takes all other variables in the natural logarithm&#x20;forms.</p>
<p>To capture the nonlinear effects of urbanization on carbon emissions, this study also includes the squared term of urbanization (<italic>rurbpop</italic>2) into the econometric estimates, which is specified as follows:<disp-formula id="e2">
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<mml:mrow>
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<p>In addition to an evaluation of the nonlinear effects of urbanization on carbon emissions, this study also addresses the transformative role of government effectiveness (<italic>ge</italic>). In this study, the variable of government effectiveness works as a transformator which is moderated with the variable of urbanization and thereby together affect carbon emissions. The interactive terms of <italic>ge</italic> specific to <italic>rurbpop</italic> and <italic>rurbpop</italic>2 are included and are represented by <italic>tsfm</italic>1 (<italic>rurbpop</italic>
<sub>
<italic>it</italic>
</sub>
<italic>&#xd7;ge</italic>
<sub>
<italic>it</italic>
</sub>) and <italic>tsfm</italic>2 (<italic>rurbpop</italic>2<sub>
<italic>it</italic>
</sub>
<italic>&#xd7;ge</italic>
<sub>
<italic>it</italic>
</sub>), respectively. Therefore, this study specifies the transformative role regressions as follows:<disp-formula id="e3">
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<mml:msub>
<mml:mi>&#x3c9;</mml:mi>
<mml:mi>t</mml:mi>
</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:math>
<label>(4)</label>
</disp-formula>
</p>
<p>In <xref ref-type="disp-formula" rid="e3">Eq. 3</xref>, <inline-formula id="inf5">
<mml:math id="m9">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3c1;</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mtext>and</mml:mtext>
<mml:mtext>&#x2009;</mml:mtext>
<mml:msub>
<mml:mi>&#x3c1;</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> are the coefficients of the variables urbanization (<italic>rurbpop</italic>) and its squared term (<italic>rurbpop</italic>2), respectively. In this study, the associations between urbanization and carbon emissions are assumed to be nonlinear as well. In <xref ref-type="disp-formula" rid="e4">Eq. 4</xref>, <inline-formula id="inf6">
<mml:math id="m10">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3c6;</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula id="inf7">
<mml:math id="m11">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3c6;</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> denote the coefficients of the interactive terms of <italic>tsfm</italic>1 and <italic>tsfm</italic>2.</p>
</sec>
<sec id="s3-3">
<title>Data Source and Description</title>
<p>The panel data utilized in this study comes from the World Development Indicators (WDI) and Worldwide Governance Indicators (WGI), and these two datasets are supported and provided by the World Bank. In detail, the data of government effectiveness are from WGI, and that of other variables are from WDI. This study selects the OECD countries as the research samples. Since the main developed and developing countries are incorporated, the samples are of high representativeness. <xref ref-type="fig" rid="F2">Figure&#x20;2</xref> displays the changing trends of urbanization and carbon emissions in the OECD countries since 1996. According to <xref ref-type="fig" rid="F2">Figure&#x20;2</xref>, with the development of the economy and society, the average urbanization level of the OECD countries is continuously increasing. Carbon emissions increased slowly but began to decrease after 2007, indicating an inverted U-shape. Thus, the rough change trends of urbanization and carbon emissions are consistent with H1; that is, the associations between them are nonlinear.</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>The changes between urbanization and carbon emissions of the OECD countries from 1996 to&#x20;2018.</p>
</caption>
<graphic xlink:href="fenrg-10-848800-g002.tif"/>
</fig>
<p>In this study, all 36 OECD member countries are included as samples. Due to the data availability, the research data is from 1996 to 2018, since most variables before 1996 and in 2019 and 2020 have a large number of missing values. As for the variable of regulatory quality, the data in 1997, 1999, and 2001 are missing. Following the method of <xref ref-type="bibr" rid="B29">Huang et&#x20;al. (2022)</xref>, this study imputed the missing values in 1997, 1999, and 2001 using the mean of the data in 1996 and 1998, the mean of the data in 1998 and 2000, and the mean of the data in 2000 and 2002, respectively. Additionally, other missing values of related variables are filled in with the mean values of the data of two consecutive years. Therefore, the sample size is 828, and the panel data used in this study are balanced with 36 countries (N) and 23&#xa0;years&#x20;(T).</p>
<p>
<xref ref-type="table" rid="T1">Table&#x20;1</xref> reports the results of descriptive statistics. For the dependent variable of carbon emissions, the mean, minimum and maximum values are 11.467, 7.528, and 15.569, respectively. Meanwhile, the standard deviations of carbon emissions specific to overall and between the OECD countries are 1.593 and 1.610, which reveals that the differences of carbon emissions between the OECD countries are even larger than that of all the sampling countries. With regard to the independent variable of urbanization, the mean value is 0.761, as well as the minimum and maximum values are 0.506 and 0.980, respectively. Additionally, the standard deviation is 0.112, which means that the differences in urbanization among the OECD countries are insignificant. However, to produce more accurate estimates, the heteroscedasticity of the dependent variable needs to be considered.</p>
<table-wrap id="T1" position="float">
<label>TABLE 1</label>
<caption>
<p>Statistical description of panel&#x20;data.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th colspan="2" align="left">Variables</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 rowspan="3" align="left">
<italic>lncarbem</italic>
</td>
<td align="left">Overall</td>
<td rowspan="3" align="char" char=".">11.467</td>
<td align="char" char=".">1.593</td>
<td align="char" char=".">7.528</td>
<td align="char" char=".">15.569</td>
</tr>
<tr>
<td align="left">Between</td>
<td align="char" char=".">1.610</td>
<td align="char" char=".">7.671</td>
<td align="char" char=".">15.497</td>
</tr>
<tr>
<td align="left">Within</td>
<td align="char" char=".">0.116</td>
<td align="char" char=".">11.102</td>
<td align="char" char=".">11.909</td>
</tr>
<tr>
<td rowspan="3" align="left">
<italic>rurbpop</italic>
</td>
<td align="left">Overall</td>
<td rowspan="3" align="char" char=".">0.761</td>
<td align="char" char=".">0.112</td>
<td align="char" char=".">0.506</td>
<td align="char" char=".">0.980</td>
</tr>
<tr>
<td align="left">Between</td>
<td align="char" char=".">0.112</td>
<td align="char" char=".">0.522</td>
<td align="char" char=".">0.975</td>
</tr>
<tr>
<td align="left">Within</td>
<td align="char" char=".">0.020</td>
<td align="char" char=".">0.661</td>
<td align="char" char=".">0.839</td>
</tr>
<tr>
<td rowspan="3" align="left">
<italic>rurbpop2</italic>
</td>
<td align="left">Overall</td>
<td rowspan="3" align="char" char=".">0.591</td>
<td align="char" char=".">0.167</td>
<td align="char" char=".">0.257</td>
<td align="char" char=".">0.960</td>
</tr>
<tr>
<td align="left">Between</td>
<td align="char" char=".">0.166</td>
<td align="char" char=".">0.272</td>
<td align="char" char=".">0.950</td>
</tr>
<tr>
<td align="left">Within</td>
<td align="char" char=".">0.031</td>
<td align="char" char=".">0.431</td>
<td align="char" char=".">0.725</td>
</tr>
<tr>
<td rowspan="3" align="left">
<italic>lnexport</italic>
</td>
<td align="left">Overall</td>
<td rowspan="3" align="char" char=".">25.528</td>
<td align="char" char=".">1.458</td>
<td align="char" char=".">21.575</td>
<td align="char" char=".">28.563</td>
</tr>
<tr>
<td align="left">Between</td>
<td align="char" char=".">1.382</td>
<td align="char" char=".">22.436</td>
<td align="char" char=".">28.044</td>
</tr>
<tr>
<td align="left">Within</td>
<td align="char" char=".">0.517</td>
<td align="char" char=".">24.156</td>
<td align="char" char=".">26.558</td>
</tr>
<tr>
<td rowspan="3" align="left">
<italic>lnrgdp</italic>
</td>
<td align="left">Overall</td>
<td rowspan="3" align="char" char=".">22.004</td>
<td align="char" char=".">1.602</td>
<td align="char" char=".">18.565</td>
<td align="char" char=".">25.999</td>
</tr>
<tr>
<td align="left">Between</td>
<td align="char" char=".">1.599</td>
<td align="char" char=".">19.105</td>
<td align="char" char=".">25.770</td>
</tr>
<tr>
<td align="left">Within</td>
<td align="char" char=".">0.280</td>
<td align="char" char=".">21.144</td>
<td align="char" char=".">24.225</td>
</tr>
<tr>
<td rowspan="3" align="left">
<italic>lnimport</italic>
</td>
<td align="left">Overall</td>
<td rowspan="3" align="char" char=".">25.513</td>
<td align="char" char=".">1.434</td>
<td align="char" char=".">21.687</td>
<td align="char" char=".">28.769</td>
</tr>
<tr>
<td align="left">Between</td>
<td align="char" char=".">1.364</td>
<td align="char" char=".">22.449</td>
<td align="char" char=".">28.305</td>
</tr>
<tr>
<td align="left">Within</td>
<td align="char" char=".">0.496</td>
<td align="char" char=".">24.201</td>
<td align="char" char=".">26.422</td>
</tr>
<tr>
<td rowspan="3" align="left">
<italic>lngrosav</italic>
</td>
<td align="left">Overall</td>
<td rowspan="3" align="char" char=".">24.956</td>
<td align="char" char=".">1.721</td>
<td align="char" char=".">19.456</td>
<td align="char" char=".">29.030</td>
</tr>
<tr>
<td align="left">Between</td>
<td align="char" char=".">1.690</td>
<td align="char" char=".">21.282</td>
<td align="char" char=".">28.539</td>
</tr>
<tr>
<td align="left">Within</td>
<td align="char" char=".">0.426</td>
<td align="char" char=".">23.131</td>
<td align="char" char=".">26.110</td>
</tr>
<tr>
<td rowspan="3" align="left">
<italic>lnhtexpt</italic>
</td>
<td align="left">Overall</td>
<td rowspan="3" align="char" char=".">23.068</td>
<td align="char" char=".">1.810</td>
<td align="char" char=".">18.369</td>
<td align="char" char=".">26.232</td>
</tr>
<tr>
<td align="left">Between</td>
<td align="char" char=".">1.824</td>
<td align="char" char=".">19.087</td>
<td align="char" char=".">25.994</td>
</tr>
<tr>
<td align="left">Within</td>
<td align="char" char=".">0.191</td>
<td align="char" char=".">21.833</td>
<td align="char" char=".">24.449</td>
</tr>
<tr>
<td rowspan="3" align="left">
<italic>lnlabfor</italic>
</td>
<td align="left">Overall</td>
<td rowspan="3" align="char" char=".">15.608</td>
<td align="char" char=".">1.504</td>
<td align="char" char=".">11.943</td>
<td align="char" char=".">18.925</td>
</tr>
<tr>
<td align="left">Between</td>
<td align="char" char=".">1.522</td>
<td align="char" char=".">12.111</td>
<td align="char" char=".">18.848</td>
</tr>
<tr>
<td align="left">Within</td>
<td align="char" char=".">0.083</td>
<td align="char" char=".">15.333</td>
<td align="char" char=".">15.915</td>
</tr>
<tr>
<td rowspan="3" align="left">
<italic>arland</italic>
</td>
<td align="left">Overall</td>
<td rowspan="3" align="char" char=".">0.298</td>
<td align="char" char=".">0.280</td>
<td align="char" char=".">0.027</td>
<td align="char" char=".">1.419</td>
</tr>
<tr>
<td align="left">Between</td>
<td align="char" char=".">0.279</td>
<td align="char" char=".">0.033</td>
<td align="char" char=".">1.232</td>
</tr>
<tr>
<td align="left">Within</td>
<td align="char" char=".">0.051</td>
<td align="char" char=".">0.065</td>
<td align="char" char=".">0.530</td>
</tr>
<tr>
<td rowspan="3" align="left">
<italic>ge</italic>
</td>
<td align="left">Overall</td>
<td rowspan="3" align="char" char=".">1.303</td>
<td align="char" char=".">0.575</td>
<td align="char" char=".">&#x2212;0.265</td>
<td align="char" char=".">2.354</td>
</tr>
<tr>
<td align="left">Between</td>
<td align="char" char=".">0.556</td>
<td align="char" char=".">0.123</td>
<td align="char" char=".">2.080</td>
</tr>
<tr>
<td align="left">Within</td>
<td align="char" char=".">0.171</td>
<td align="char" char=".">0.717</td>
<td align="char" char=".">1.872</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>Notes: The number of observations is 828. In addition, the N and T of the panel data are 36 and 23, respectively.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>As for the control variables, the average exports and imports of goods and services are 25.528 and 25.513, respectively. Due to high standard deviations of 1.458 and 1.434, there are also large differences in import and export trade among the OECD member countries. Concerning the deflated GDP, the mean value is 22.004 with minimum and maximum values of 18.565 and 25.999, indicating the huge gap in economic size among the OECD countries. Besides, the mean values of the gross savings, high-technology exports, and labor force are 24.956, 23.068, and 15.608 with standard deviations of 1.721, 1.824, and 1.504, respectively. Also, the mean value of arable land is 0.298 with a standard deviation of 0.280. For the transformator variable, the average government effectiveness is 1.303, and the standard deviation is as high as 0.575. Hence, regardless of the control variables and transformator variable of the OECD countries, the results of statistical description suggest significant differences among the sampling countries, which indicates that the heteroscedasticity needs to be taken into account as&#x20;well.</p>
</sec>
</sec>
<sec id="s4">
<title>Empirical Analysis</title>
<sec id="s4-1">
<title>Results of Baseline Estimations</title>
<p>Utilizing the panel data from 1996 to 2018 for the OECD countries, this study seeks to evaluate the effects of urbanization on carbon emissions as well as the transformative role of government effectiveness. Firstly, this study verifies whether to use the regressions of the pooled ordinary least squares (POLS), random-effect (RE), or fixed-effect (FE). As for the POLS and FE regressions, this study utilizes the F test specific to all the intercept terms, and the results show that F (35, 784) &#x3d; 255.940, rejecting the null hypothesis of the POLS regression at a significance of 1%. Furthermore, with regard to the FE and RE regressions, this study employs the Hausman test. The results suggest that <italic>Chi</italic>
<sup>2</sup> (8) &#x3d; 76.220, which means that the null hypothesis of the RE regression is rejected. Thus, compared with the POLS and RE regressions, the approach of the FE regression is more adequate in this study. Secondly, for the serial correlation of the panel data used in this study, the Wooldridge test is conducted. The results exhibit that F (1, 35) &#x3d; 61.436 and the null hypothesis of no first-order autocorrelation is statistically rejected at a significance of 1%. In addition to the heteroscedasticity, this study specifies the heteroskedastic and correlated errors in all estimations. Simultaneously, the approach of the feasible generalized least squares (FGLS) is employed to produce more accurate results in all estimates as&#x20;well.</p>
<p>
<xref ref-type="table" rid="T2">Table&#x20;2</xref> presents the results of baseline estimations. In Columns (1) to (3), only control variables are incorporated. The country dummies are included in all estimations since there are substantial differences among the OECD countries. Except for that in Column (1), year dummies are added in other estimates to eliminate the estimation bias. In Columns (1) and (2), the approach of FE regression is utilized. To produce more robust and accurate estimation results, the FGLS regression is subsequently employed to conduct empirical analysis. In light of the estimation results, the exports of goods and services (<italic>lnexport</italic>) are statistically negative to carbon emissions at a significance of 1%. The results are coherent with <xref ref-type="bibr" rid="B38">Khan et&#x20;al. (2021)</xref>, in which exports are positive to boost carbon emissions. Meanwhile, the imports of goods and services (<italic>lnimport</italic>) significantly and positively contribute to the OECD countries&#x2019; carbon emissions, which is in line with the results of <xref ref-type="bibr" rid="B37">Khan et&#x20;al. (2020)</xref>. As for the economic size, the results show a significantly negative association between real GDP (<italic>lnrgdp</italic>) and carbon emissions, which is endorsed by <xref ref-type="bibr" rid="B29">Huang et&#x20;al. (2022)</xref> and <xref ref-type="bibr" rid="B6">Aller et&#x20;al. (2021)</xref>. As assumed in the EKC hypothesis, a country with a greater economic size tends to be more environmentally friendly and thereby be more likely to improve production technologies and further positively contribute to mitigating carbon emissions. Besides, gross savings (<italic>lngrosav</italic>), the labor force (<italic>lnlabfor</italic>), and arable land (<italic>arland</italic>) are all positively associated with carbon emissions. The greater a country&#x2019;s gross savings, labor force, and arable land, the more products it can provide, which in turn causes the emission of more carbon. The results are aligned with <xref ref-type="bibr" rid="B12">Chen et&#x20;al. (2019)</xref>. Additionally, high-technology exports (lnhtexpt) are found to be positive to enhance carbon emissions, as verified by <xref ref-type="bibr" rid="B3">Aldakhil et&#x20;al. (2019)</xref> and <xref ref-type="bibr" rid="B7">Anser et&#x20;al. (2021)</xref>.</p>
<table-wrap id="T2" position="float">
<label>TABLE 2</label>
<caption>
<p>Results of baseline estimations.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Variables</th>
<th align="center">(1)</th>
<th align="center">(2)</th>
<th align="center">(3)</th>
<th align="center">(4)</th>
<th align="center">(5)</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td rowspan="2" align="left">
<italic>rurbpop</italic>
</td>
<td align="center">&#x2014;</td>
<td align="center">&#x2014;</td>
<td align="center">&#x2014;</td>
<td align="center">0.373<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="center">1.694<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
</tr>
<tr>
<td align="center">&#x2014;</td>
<td align="center">&#x2014;</td>
<td align="center">&#x2014;</td>
<td align="center">(0.058)</td>
<td align="center">(0.282)</td>
</tr>
<tr>
<td rowspan="2" align="left">
<italic>rurbpop</italic>2</td>
<td align="center">&#x2014;</td>
<td align="center">&#x2014;</td>
<td align="center">&#x2014;</td>
<td align="center">&#x2014;</td>
<td align="center">-0.868<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
</tr>
<tr>
<td align="center">&#x2014;</td>
<td align="center">&#x2014;</td>
<td align="center">&#x2014;</td>
<td align="center">&#x2014;</td>
<td align="center">(0.184)</td>
</tr>
<tr>
<td rowspan="2" align="left">
<italic>lnexport</italic>
</td>
<td align="center">&#x2212;0.318<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="center">
<sup>&#x2212;</sup>0.103<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="center">&#x2212;0.113<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="center">&#x2212;0.103<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="center">&#x2212;0.110<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
</tr>
<tr>
<td align="center">(0.045)</td>
<td align="center">(0.037)</td>
<td align="center">(0.008)</td>
<td align="center">(0.008)</td>
<td align="center">(0.008)</td>
</tr>
<tr>
<td rowspan="2" align="left">
<italic>lnrgdp</italic>
</td>
<td align="center">&#x2212;0.082<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="center">
<sup>&#x2212;</sup>0.078<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="center">&#x2212;0.073<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="center">&#x2212;0.061<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="center">&#x2212;0.056<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
</tr>
<tr>
<td align="center">(0.018)</td>
<td align="center">(0.016)</td>
<td align="center">(0.004)</td>
<td align="center">(0.006)</td>
<td align="center">(0.006)</td>
</tr>
<tr>
<td rowspan="2" align="left">
<italic>lnimport</italic>
</td>
<td align="center">0.252<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="center">0.199<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="center">0.202<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="center">0.193<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="center">0.201<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
</tr>
<tr>
<td align="center">(0.049)</td>
<td align="center">(0.040)</td>
<td align="center">(0.007)</td>
<td align="center">(0.007)</td>
<td align="center">(0.007)</td>
</tr>
<tr>
<td rowspan="2" align="left">
<italic>lngrosav</italic>
</td>
<td align="center">0.089<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="center">0.076<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="center">0.075<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="center">0.076<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="center">0.073<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
</tr>
<tr>
<td align="center">(0.018)</td>
<td align="center">(0.014)</td>
<td align="center">(0.003)</td>
<td align="center">(0.003)</td>
<td align="center">(0.003)</td>
</tr>
<tr>
<td rowspan="2" align="left">
<italic>lnhtexpt</italic>
</td>
<td align="center">0.048<sup>&#x2a;&#x2a;</sup>
</td>
<td align="center">0.083<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="center">0.082<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="center">0.082<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="center">0.081<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
</tr>
<tr>
<td align="center">(0.020)</td>
<td align="center">(0.017)</td>
<td align="center">(0.004)</td>
<td align="center">(0.004)</td>
<td align="center">(0.003)</td>
</tr>
<tr>
<td rowspan="2" align="left">
<italic>lnlabfor</italic>
</td>
<td align="center">0.500<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="center">1.071<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="center">1.063<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="center">1.062<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="center">1.067<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
</tr>
<tr>
<td align="center">(0.059)</td>
<td align="center">(0.055)</td>
<td align="center">(0.011)</td>
<td align="center">(0.011)</td>
<td align="center">(0.013)</td>
</tr>
<tr>
<td rowspan="2" align="left">
<italic>arland</italic>
</td>
<td align="center">0.096</td>
<td align="center">&#x2212;0.001</td>
<td align="center">&#x2212;0.004</td>
<td align="center">&#x2212;0.006</td>
<td align="center">0.009</td>
</tr>
<tr>
<td align="center">(0.082)</td>
<td align="center">(0.067)</td>
<td align="center">(0.010)</td>
<td align="center">(0.011)</td>
<td align="center">(0.011)</td>
</tr>
<tr>
<td rowspan="2" align="left">Constant</td>
<td align="center">3.812<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="center">&#x2212;10.032<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="center">&#x2212;9.048<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="center">&#x2212;10.875<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="center">&#x2212;11.480<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
</tr>
<tr>
<td align="center">(0.954)</td>
<td align="center">(1.086)</td>
<td align="center">(0.185)</td>
<td align="center">(0.243)</td>
<td align="center">(0.316)</td>
</tr>
<tr>
<td align="left">Country dummies</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
</tr>
<tr>
<td align="left">Year dummies</td>
<td align="center">No</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
</tr>
<tr>
<td align="left">
<italic>N</italic>
</td>
<td align="center">828</td>
<td align="center">828</td>
<td align="center">828</td>
<td align="center">828</td>
<td align="center">828</td>
</tr>
<tr>
<td align="left">adj. <italic>R</italic>
<sup>2</sup>
</td>
<td align="center">0.146</td>
<td align="center">0.472</td>
<td align="center">&#x2014;</td>
<td align="center">&#x2014;</td>
<td align="center">&#x2014;</td>
</tr>
<tr>
<td align="left">Prob. &#x3e; <italic>Chi</italic>
<sup>2</sup>
</td>
<td align="center">&#x2014;</td>
<td align="center">&#x2014;</td>
<td align="center">0.000</td>
<td align="center">0.000</td>
<td align="center">0.000</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>Notes: In Columns (1) and (2), the data in parentheses are standard errors, and these in Columns (3) to (5) are heteroskedastic and correlated errors. Moreover, <sup>&#x2a;</sup>, <sup>&#x2a;&#x2a;</sup> and <sup>&#x2a;&#x2a;&#x2a;</sup> denote 10%, 5% and 1% significance level, respectively.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>In Column (4), the independent variable of urbanization is entered. In Column (5), both the variable of urbanization and its squared term are added. In terms of the results presented in Column (4), urbanization appears to be positive to increase carbon emissions. Nevertheless, the coefficient of the squared term of urbanization in Column (5) is statistically negative at a significance of 1%. The results suggest that the estimation in Column (4) ignores the nonlinear effects, which also validates the adequacy of the nonlinear econometric specification. Simultaneously, the results are as hypothesized in H1. To be more specific, the critical value that transforms the effects of urbanization on carbon emissions can be calculated in light of the estimated coefficients. In Column (5), the coefficients of urbanization and its squared term are 1.694 and -0.868, so the critical value equals 0.976. In terms of the results of the descriptive statistics in <xref ref-type="table" rid="T1">Table&#x20;1</xref>, the mean value of urbanization is 0.761. Thus, without considering the impacts of other factors, urbanization tends to increase carbon emissions.</p>
<p>
<xref ref-type="fig" rid="F3">Figure&#x20;3</xref> displays the nonlinear effects of urbanization on carbon emissions. The results suggest an inverted U-shaped relationship with a critical value of 0.976. According to the definition of urbanization, it ranges from 0 to 1. The critical level of urbanization is too high for most OECD countries to reach. Furthermore, the average level of urbanization equals 0.761, which means that most of the OECD countries&#x2019; urbanization levels are lower than the critical level. Thus, with the advancement of urbanization, the OECD countries are more likely to emit higher volumes of carbon dioxide.</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>The nonlinear associations between urbanization and carbon emissions.</p>
</caption>
<graphic xlink:href="fenrg-10-848800-g003.tif"/>
</fig>
</sec>
<sec id="s4-2">
<title>Robustness Check</title>
<p>To produce more robust estimates, this study conducts a systematic check of robustness. Firstly, an alternative regression method of weighted least squares (WLS) is utilized. The second is to re-estimate the baseline model with samples of higher and lower than average GDP per capita, respectively. Because the approach of FGLS regression is only available to balanced panel data, this study employs the method of least squares dummy variable (LSDV) to perform re-estimations. Additionally, this study also replaces the dependent variable with an alternative measure of carbon emissions, that is per capita carbon emissions.</p>
<p>The results of the robustness check are reported in <xref ref-type="table" rid="T3">Table&#x20;3</xref>. In Column (1), the results of WLS regression remain unchanged. In detail, the coefficients of urbanization and its squared term are statistically significant. Moreover, the critical value is equal to 0.830, which reveals that with the improvement of urbanization, the OECD countries still emit more volume of carbon dioxide. In Columns (2) and (3), the coefficients specific to urbanization and its squared term are statistically significant as well. Especially, the critical value and mean values of urbanization for the OECD countries with a higher GDP per capita are 0.745 and 0.805, and that for the lower GDP per capita countries are 0.621 and 0.704. The results suggest that for higher GDP per capita countries, the enhancement of urbanization is positive to decrease carbon emissions but is the opposite in countries with a lower GDP per capita. The results are still expected as in H1. In Column (4), after replacing the measurement of the dependent variable, the coefficients of urbanization and its squared term are 1.949 and &#x2212;1.083, both of which are at a significance of 1%. Furthermore, the critical value is 0.900, and hence, the results are still aligned with that presented in Column (4) of <xref ref-type="table" rid="T2">Table&#x20;2</xref> and Column (1) of <xref ref-type="table" rid="T3">Table&#x20;3</xref>. Thus, the results of the robustness check remain unchanged and still endorse&#x20;H1.</p>
<table-wrap id="T3" position="float">
<label>TABLE 3</label>
<caption>
<p>Results of robustness&#x20;check.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Variables</th>
<th align="center">(1)</th>
<th align="center">(2)</th>
<th align="center">(3)</th>
<th align="center">(4)</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td rowspan="2" align="left">
<italic>rurbpop</italic>
</td>
<td align="center">2.577<sup>&#x2a;&#x2a;</sup>
</td>
<td align="center">&#x2212;11.962<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="center">3.669<sup>&#x2a;</sup>
</td>
<td align="center">1.949<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
</tr>
<tr>
<td align="center">(1.306)</td>
<td align="center">(2.351)</td>
<td align="center">(2.021)</td>
<td align="center">(0.223)</td>
</tr>
<tr>
<td rowspan="2" align="left">
<italic>rurbpop</italic>2</td>
<td align="center">-1.553<sup>&#x2a;</sup>
</td>
<td align="center">8.025<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="center">&#x2212;2.953<sup>&#x2a;</sup>
</td>
<td align="center">&#x2212;1.083<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
</tr>
<tr>
<td align="center">(0.856)</td>
<td align="center">(1.430)</td>
<td align="center">(1.606)</td>
<td align="center">(0.142)</td>
</tr>
<tr>
<td rowspan="2" align="left">
<italic>lnexport</italic>
</td>
<td align="center">&#x2212;0.006</td>
<td align="center">&#x2212;0.108<sup>&#x2a;&#x2a;</sup>
</td>
<td align="center">&#x2212;0.215<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="center">&#x2212;0.077<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
</tr>
<tr>
<td align="center">(0.035)</td>
<td align="center">(0.053)</td>
<td align="center">(0.066)</td>
<td align="center">(0.009)</td>
</tr>
<tr>
<td rowspan="2" align="left">
<italic>lnrgdp</italic>
</td>
<td align="center">&#x2212;0.023</td>
<td align="center">0.066<sup>&#x2a;</sup>
</td>
<td align="center">&#x2212;0.067<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="center">&#x2212;0.040<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
</tr>
<tr>
<td align="center">(0.018)</td>
<td align="center">(0.040)</td>
<td align="center">(0.020)</td>
<td align="center">(0.005)</td>
</tr>
<tr>
<td rowspan="2" align="left">
<italic>lnimport</italic>
</td>
<td align="center">&#x2212;0.001</td>
<td align="center">0.061</td>
<td align="center">0.268<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="center">0.187<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
</tr>
<tr>
<td align="center">(0.035)</td>
<td align="center">(0.052)</td>
<td align="center">(0.067)</td>
<td align="center">(0.009)</td>
</tr>
<tr>
<td rowspan="2" align="left">
<italic>lngrosav</italic>
</td>
<td align="center">0.091<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="center">0.064<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="center">0.064<sup>&#x2a;&#x2a;</sup>
</td>
<td align="center">0.083<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
</tr>
<tr>
<td align="center">(0.008)</td>
<td align="center">(0.018)</td>
<td align="center">(0.027)</td>
<td align="center">(0.003)</td>
</tr>
<tr>
<td rowspan="2" align="left">
<italic>lnhtexpt</italic>
</td>
<td align="center">0.100<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="center">0.055<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="center">0.087<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="center">0.085<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
</tr>
<tr>
<td align="center">(0.013)</td>
<td align="center">(0.021)</td>
<td align="center">(0.033)</td>
<td align="center">(0.004)</td>
</tr>
<tr>
<td rowspan="2" align="left">
<italic>lnlabfor</italic>
</td>
<td align="center">0.865<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="center">0.716<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="center">1.299<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="center">0.385<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
</tr>
<tr>
<td align="center">(0.053)</td>
<td align="center">(0.125)</td>
<td align="center">(0.095)</td>
<td align="center">(0.015)</td>
</tr>
<tr>
<td rowspan="2" align="left">
<italic>arland</italic>
</td>
<td align="center">0.180<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="center">&#x2212;0.307<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="center">0.121</td>
<td align="center">0.099<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
</tr>
<tr>
<td align="center">(0.067)</td>
<td align="center">(0.092)</td>
<td align="center">(0.115)</td>
<td align="center">(0.011)</td>
</tr>
<tr>
<td rowspan="2" align="left">Constant</td>
<td align="center">&#x2212;7.253<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="center">3.115</td>
<td align="center">&#x2212;12.048<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="center">&#x2212;10.606<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
</tr>
<tr>
<td align="center">(1.242)</td>
<td align="center">(2.469)</td>
<td align="center">(1.980)</td>
<td align="center">(0.327)</td>
</tr>
<tr>
<td align="left">Country dummies</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
</tr>
<tr>
<td align="left">Year dummies</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
</tr>
<tr>
<td align="left">
<italic>N</italic>
</td>
<td align="center">828</td>
<td align="center">467</td>
<td align="center">361</td>
<td align="center">828</td>
</tr>
<tr>
<td align="left">adj. <italic>R</italic>
<sup>2</sup>
</td>
<td align="center">0.998</td>
<td align="center">0.998</td>
<td align="center">0.997</td>
<td align="center">&#x2014;</td>
</tr>
<tr>
<td align="left">Prob. &#x3e; <italic>Chi</italic>
<sup>2</sup>
</td>
<td align="center">&#x2014;</td>
<td align="center">&#x2014;</td>
<td align="center">&#x2014;</td>
<td align="center">0.000</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>Notes: In Columns (1), the data in parentheses are standard errors, and these in Columns (2) and (3) are robust standard errors. Besides, in Column (4), the data in parentheses are heteroskedastic and correlated errors. Moreover, <sup>&#x2a;</sup>, <sup>&#x2a;&#x2a;</sup> and <sup>&#x2a;&#x2a;&#x2a;</sup> denote 10%, 5% and 1% significance level, respectively.</p>
</fn>
</table-wrap-foot>
</table-wrap>
</sec>
</sec>
<sec id="s5">
<title>Further DISCUSSIONS</title>
<p>To address the influence channels of urbanization on carbon emissions, this study investigates the transformative role of government effectiveness. In <xref ref-type="table" rid="T4">Table&#x20;4</xref>, Column (1) again displays the baseline estimation results. Similarly, this study firstly evaluates the nonlinear associations between urbanization and government effectiveness, and the results are shown in Column (2) of <xref ref-type="table" rid="T4">Table&#x20;4</xref>. In terms of the estimation results, the coefficients of urbanization and its squared term are statistically significant, and both of them are at a significance of 1%. Furthermore, the critical value is 0.649, which is less than the mean value of urbanization. Therefore, with the enhancement of urbanization, the government effectiveness of the OECD countries will be improved. Thus, the results are aligned with&#x20;H2.</p>
<table-wrap id="T4" position="float">
<label>TABLE 4</label>
<caption>
<p>Results of the transformative role of government effectiveness.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Variables</th>
<th align="center">(1)</th>
<th align="center">(2)</th>
<th align="center">(3)</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td rowspan="2" align="left">
<italic>rurbpop</italic>
</td>
<td align="center">1.694<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="center">&#x2212;1.717<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="center">&#x2014;</td>
</tr>
<tr>
<td align="center">(0.282)</td>
<td align="center">(0.527)</td>
<td align="center">&#x2014;</td>
</tr>
<tr>
<td rowspan="2" align="left">
<italic>rurbpop</italic>2</td>
<td align="center">&#x2212;0.868<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="center">1.323<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="center">&#x2014;</td>
</tr>
<tr>
<td align="center">(0.184)</td>
<td align="center">(0.343)</td>
<td align="center">&#x2014;</td>
</tr>
<tr>
<td rowspan="2" align="left">
<italic>tsfm</italic>1</td>
<td align="center">&#x2014;</td>
<td align="center">&#x2014;</td>
<td align="center">0.570<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
</tr>
<tr>
<td align="center">&#x2014;</td>
<td align="center">&#x2014;</td>
<td align="center">(0.018)</td>
</tr>
<tr>
<td rowspan="2" align="left">
<italic>tsfm</italic>2</td>
<td align="center">&#x2014;</td>
<td align="center">&#x2014;</td>
<td align="center">&#x2212;0.387<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
</tr>
<tr>
<td align="center">&#x2014;</td>
<td align="center">&#x2014;</td>
<td align="center">(0.021)</td>
</tr>
<tr>
<td rowspan="2" align="left">
<italic>lnexport</italic>
</td>
<td align="center">&#x2212;0.110<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="center">&#x2212;0.102<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="center">&#x2212;0.084<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
</tr>
<tr>
<td align="center">(0.008)</td>
<td align="center">(0.017)</td>
<td align="center">(0.007)</td>
</tr>
<tr>
<td rowspan="2" align="left">
<italic>lnrgdp</italic>
</td>
<td align="center">&#x2212;0.056<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="center">0.032<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="center">&#x2212;0.079<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
</tr>
<tr>
<td align="center">(0.006)</td>
<td align="center">(0.007)</td>
<td align="center">(0.004)</td>
</tr>
<tr>
<td rowspan="2" align="left">
<italic>lnimport</italic>
</td>
<td align="center">0.201<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="center">0.289<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="center">0.138<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
</tr>
<tr>
<td align="center">(0.007)</td>
<td align="center">(0.017)</td>
<td align="center">(0.007)</td>
</tr>
<tr>
<td rowspan="2" align="left">
<italic>lngrosav</italic>
</td>
<td align="center">0.073<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="center">0.057<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="center">0.063<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
</tr>
<tr>
<td align="center">(0.003)</td>
<td align="center">(0.005)</td>
<td align="center">(0.003)</td>
</tr>
<tr>
<td rowspan="2" align="left">
<italic>lnhtexpt</italic>
</td>
<td align="center">0.081<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="center">0.070<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="center">0.072<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
</tr>
<tr>
<td align="center">(0.003)</td>
<td align="center">(0.007)</td>
<td align="center">(0.004)</td>
</tr>
<tr>
<td rowspan="2" align="left">
<italic>lnlabfor</italic>
</td>
<td align="center">1.067<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="center">&#x2212;0.686<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="center">1.230<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
</tr>
<tr>
<td align="center">(0.013)</td>
<td align="center">(0.029)</td>
<td align="center">(0.011)</td>
</tr>
<tr>
<td rowspan="2" align="left">
<italic>arland</italic>
</td>
<td align="center">0.009</td>
<td align="center">0.001</td>
<td align="center">0.012</td>
</tr>
<tr>
<td align="center">(0.011)</td>
<td align="center">(0.037)</td>
<td align="center">(0.015)</td>
</tr>
<tr>
<td rowspan="2" align="left">Constant</td>
<td align="center">&#x2212;11.480<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="center">4.869<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="center">&#x2212;11.413<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
</tr>
<tr>
<td align="center">(0.316)</td>
<td align="center">(0.520)</td>
<td align="center">(0.145)</td>
</tr>
<tr>
<td align="left">Country dummies</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
</tr>
<tr>
<td align="left">Year dummies</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
</tr>
<tr>
<td align="left">
<italic>N</italic>
</td>
<td align="center">828</td>
<td align="center">828</td>
<td align="center">828</td>
</tr>
<tr>
<td align="left">Prob. &#x3e; <italic>Chi</italic>
<sup>2</sup>
</td>
<td align="center">0.000</td>
<td align="center">0.000</td>
<td align="center">0.000</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>Notes: The data in parentheses are heteroskedastic and correlated errors. Moreover, <sup>&#x2a;</sup>, <sup>&#x2a;&#x2a;</sup> and <sup>&#x2a;&#x2a;&#x2a;</sup> denote 10%, 5% and 1% significance level, respectively.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>Secondly, this study incorporates the interactive terms of urbanization and its squared term specific to government effectiveness and performs a re-estimation. Column (3) of <xref ref-type="table" rid="T4">Table&#x20;4</xref> presents the estimation results. Due to multicollinearity, in addition to the variable of government effectiveness, the variables of urbanization and its squared term are excluded. The coefficients of the interactive terms (<italic>tsfm</italic>1 and <italic>tsfm</italic>2) are 0.570 and &#x2212;0.387, and both of them are at a significance of 1%. Moreover, the critical value can be calculated, which is 0.736. Simultaneously, the mean value of transformators (<italic>rurbpop&#xd7;ge</italic>) is 1.021, which is greater than the critical value of transfomators. Under the consideration of government effectiveness, although nonlinear associations of urbanization on carbon emissions remain unchanged, the positive effects of urbanization on emitting more carbon dioxide are transformed by relatively decreasing the critical value of urbanization. Therefore, the improvement of government effectiveness negatively contributes to the effects of urbanization on increasing carbon emissions. The results imply that government effectiveness plays a transformative role, which is as expected in&#x20;H3.</p>
<p>
<xref ref-type="fig" rid="F4">Figure&#x20;4</xref> describes the nonlinear associations between urbanization and carbon emissions under the transformative role of government effectiveness, indicating an inverted U-shaped nexus with a critical value of 0.736. Compared with <xref ref-type="fig" rid="F3">Figure&#x20;3</xref>, the critical value of the new U-shaped curve becomes smaller, which is changed from 0.976 to 0.736. To be more specific, transformators range from &#x2212;0.169 to 2.031, while the range of urbanization is from 0 to 1. Furthermore, the mean values of urbanization and transformators are 0.761 and 1.021, respectively. Therefore, it is unlikely to reduce carbon emissions by increasing urbanization. Nevertheless, government effectiveness has become a feasible and accessible path that will play a pivotal role in reducing carbon emissions in the process of urbanization.</p>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>The transformative role of government effectiveness.</p>
</caption>
<graphic xlink:href="fenrg-10-848800-g004.tif"/>
</fig>
</sec>
<sec id="s6">
<title>Conclusion and Implications</title>
<sec id="s6-1">
<title>Conclusion</title>
<p>With the development of economic globalization, although significant economic achievements have been made, the environment is continuously degrading, and global warming has become increasingly severe. With the rapid economic growth, urbanization is also accelerating, which has increased carbon emissions and thereby has played a vital role in causing global warming. Utilizing panel data of the OECD countries from 1996 to 2018, this study evaluates the nonlinear effects of urbanization on carbon emissions. Simultaneously, the transformative role of government effectiveness in changing the affecting pattern of urbanization on carbon emissions has also been addressed in detail. To produce more accurate estimates, this study conducts regressions by utilizing the approach of the FGLS and takes the heteroskedastic and correlated errors into account. The results suggest that urbanization is nonlinearly associated with carbon emissions, indicating an inverted U-shaped curve. Compared with the critical value, the average urbanization level of the OECD countries is on the left side of the inverted U-shaped curve. Therefore, for most OECD countries, the enhancement of urbanization tends to increase carbon emissions. Besides, the results also show that urbanization positively contributes to government effectiveness, which implies that the effectiveness of the OECD countries&#x2019; governments will increase as the level of urbanization rises. Furthermore, this study verifies the transformative role of government effectiveness, and the results reveal that government effectiveness negatively contributes to the effects of urbanization on increasing carbon emissions. Thus, the positive role of urbanization in emitting more carbon dioxide will be transformed to help the OECD countries mitigate carbon emissions with the advancement of government effectiveness.</p>
</sec>
<sec id="s6-2">
<title>Policy Implications</title>
<p>The empirical findings in this study provide a new understanding of the nonlinear associations between urbanization and carbon emissions as well as the transformative role of government effectiveness, which is also informative for policymakers to take effective measures to reduce carbon emissions and further mitigate global warming. Firstly, regardless of developed or developing countries are encouraged to accelerate the process of urbanization. The results of baseline estimation suggest that the mean value of most OECD countries is on the left side of the inverted U-shaped curve, and the increase in the level of urbanization will cause these countries to produce more carbon dioxide. Nevertheless, the results also indicate that urbanization is conducive to improving government effectiveness, which has been verified as a pivotal transformator in this study. Secondly, countries are recommended to formulate active measures to improve the effectiveness of government. The results exhibit that government effectiveness has played a transformative role in changing the impacts of urbanization on carbon emissions. In addition to the improvement of urbanization, the advancement of government effectiveness together helps eliminate carbon emissions, which is positive to ease global warming and prevent environmental degradation.</p>
</sec>
</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://www.worldbank.org">https://www.worldbank.org</ext-link>.</p>
</sec>
<sec id="s8">
<title>Author Contributions</title>
<p>FC contributed to conceptualization. FC and RZ contributed to data curation and writing. AL and XL contributed to formal analysis. FC and RZ contributed to funding acquisition. JT contributed to methodology. XL and RA contributed to proofreading and editing. All authors contributed to the article and approved the submitted version.</p>
</sec>
<sec sec-type="COI-statement" id="s9">
<title>Conflict of Interest</title>
<p>The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec sec-type="disclaimer" id="s10">
<title>Publisher&#x2019;s Note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
<ack>
<p>The authors acknowledge the Program for Young Excellent Talents in UIBE (Grant Nos. 18YQ07), the Key Research Project Foundation of Beijing Finance Society, and the Postgraduate Innovative Research Fund in&#x20;UIBE.</p>
</ack>
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