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<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">1073208</article-id>
<article-id pub-id-type="doi">10.3389/fenvs.2022.1073208</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>Can the opening of China railway express reduce urban carbon emissions? a Difference-in-differences analysis in China</article-title>
<alt-title alt-title-type="left-running-head">Qiu et al.</alt-title>
<alt-title alt-title-type="right-running-head">
<ext-link ext-link-type="uri" xlink:href="https://doi.org/10.3389/fenvs.2022.1073208">10.3389/fenvs.2022.1073208</ext-link>
</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Qiu</surname>
<given-names>Zhiping</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Liu</surname>
<given-names>Di</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Liao</surname>
<given-names>Qiumin</given-names>
</name>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2056070/overview"/>
</contrib>
</contrib-group>
<aff id="aff1">
<sup>1</sup>
<institution>School of Economics and Management</institution>, <institution>Dongguan University of Technology</institution>, <addr-line>Dongguan</addr-line>, <country>China</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>Institute of Finance and Economics/School of Urban and Regional Sciences</institution>, <institution>Shanghai University of Finance and Economics</institution>, <addr-line>Shanghai</addr-line>, <country>China</country>
</aff>
<aff id="aff3">
<sup>3</sup>
<institution>School of Economics and Management</institution>, <institution>Jiangxi University of Science and Technology</institution>, <addr-line>Ganzhou</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/209879/overview">Faik Bilgili</ext-link>, Erciyes University, T&#xfc;rkiye</p>
</fn>
<fn fn-type="edited-by">
<p>
<bold>Reviewed by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1899907/overview">Yantuan Yu</ext-link>, Guangdong University of Foreign Studies, China</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1397090/overview">Abdul Rehman</ext-link>, Henan Agricultural University, China</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Qiumin Liao, <email>liaoqiumin69@163.com</email>
</corresp>
<fn fn-type="other">
<p>This article was submitted to Environmental Economics and Management,&#xa0;a section of the journal Frontiers in Environmental Science</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>09</day>
<month>01</month>
<year>2023</year>
</pub-date>
<pub-date pub-type="collection">
<year>2022</year>
</pub-date>
<volume>10</volume>
<elocation-id>1073208</elocation-id>
<history>
<date date-type="received">
<day>18</day>
<month>10</month>
<year>2022</year>
</date>
<date date-type="accepted">
<day>21</day>
<month>12</month>
<year>2022</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2023 Qiu, Liu and Liao.</copyright-statement>
<copyright-year>2023</copyright-year>
<copyright-holder>Qiu, Liu and Liao</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>In the background of global &#x201c;carbon neutrality,&#x201d; China Railway Express (CRE) is contributing to the long-term development of low-carbon environmental protection while promoting economic growth. Based on panel data of 284 cities at the prefecture level and above in China from 2003 to 2019, we empirically investigate the impact and mechanism of CRE opening on urban carbon emissions using the multi-period DID model and mediating effect model. Under the assumption of meeting parallel trends, we find that the opening of CRE considerably lowers urban carbon emissions by .78 percentage points as compared to the control group. This finding holds after placebo testing, PSM-DID estimation, replacing key variables, excluding other policies and disturbances from the opening of the high-speed railway (HSR), and overcoming endogeneity problems. According to the findings of the mechanism tests, the influence of transportation substitution, improved industrial structure, economic agglomeration, and trade openness are crucial mechanisms for reducing carbon emissions by opening CRE. Further heterogeneity tests show that the carbon reduction effect of CRE opening is more pronounced in east-central China, larger and non-resource-based cities. Therefore, this study suggests that the Chinese government should pay attention to the positive effect of CRE on environmental protection. The government should accelerate the construction of comprehensive transportation infrastructure while rationalizing the layout of economic activities and population clustering.</p>
</abstract>
<kwd-group>
<kwd>China Railway express</kwd>
<kwd>carbon emissions</kwd>
<kwd>multi-period Difference-in-differences</kwd>
<kwd>mediating effect model</kwd>
<kwd>instrumental variable estimation</kwd>
</kwd-group>
</article-meta>
</front>
<body>
<sec id="s1">
<title>1 Introduction</title>
<p>As the second largest economy in the world, China has been committed to addressing the issue of climate change and has set a series of carbon reduction targets and actions (<xref ref-type="bibr" rid="B47">Wang et al., 2020</xref>). At the 75th session of the United Nations General Assembly, Chinese President Xi Jinping emphasized that the government will work to achieve carbon peaking by 2030 and carbon neutrality by 2060. Notably, transportation is a significant source of greenhouse gas emissions, accounting for nearly one-third of the world&#x2019;s total energy use (<xref ref-type="bibr" rid="B19">Jia et al., 2021</xref>). China Railway Express (CRE), one of the most environmentally friendly means of freight transportation, emits much fewer CO<sub>2</sub> emissions than ocean, road, and air transportation under the same conditions, according to the Eurasian Railway Alliance Index (ERAI). It has been found that carbon emissions from China&#x2019;s road, waterway, and air transport sectors have increased, while rail transport carbon emissions have decreased (<xref ref-type="bibr" rid="B25">Li et al., 2019</xref>). More importantly, <xref ref-type="bibr" rid="B26">Li et al. (2021a)</xref> found significant sectoral differences in China&#x2019;s transportation carbon emissions in 2019. The share of railroad carbon emissions in total transportation carbon emissions is only .68%, much lower than the shares of carbon emissions from roads (86.76%), waterways (6.47%), and aviation (6.09%). According to China&#x2019;s &#x201c;CRE Development Report (2021)<xref ref-type="fn" rid="fn1">
<sup>1</sup>
</xref>,&#x201d; the average carbon emissions of CRE are 1/15 of those of air transport and 1/7 of those of road transport. It has done an excellent job of setting an example when it comes to combating climate change and driving the advancement of environmentally friendly international transportation. As the initiator of the &#x201c;Belt and Road,&#x201d; China has taken the opening of CRE as a link to promote the interconnection of countries and node cities along the railway with China. With the development of CRE, it has also adapted to the green and sustainable development needs of the countries along the route, showing its strong vitality and development potential. Therefore, under the constraint of green and low-carbon development goals, the CRE operation status should not ignore the carbon emission issue (<xref ref-type="bibr" rid="B54">Yin et al., 2020</xref>). In the current context of China&#x2019;s accelerated green transformation development, can the opening of CRE reduce carbon emissions? What mechanisms influence carbon emissions? We will conduct a methodical analysis at both the theoretical and empirical levels to provide normative answers to the two concerns mentioned above.</p>
<p>The carbon emission effect of CRE can be examined in terms of both transportation infrastructure and international trade openness since it is a new method of facilitating international trade. Transportation infrastructure specifically has an impact on carbon emissions through the transportation substitution effect, industrial structure effect, and economic agglomeration effect, among other mechanisms (<xref ref-type="bibr" rid="B2">Anderson, 2014</xref>; <xref ref-type="bibr" rid="B51">Xie et al., 2017</xref>; <xref ref-type="bibr" rid="B40">Shao et al., 2019a</xref>). Similar to HSR, CRE possesses the characteristics of transportation infrastructure and has the potential to significantly lower transportation costs. In addition to influencing industrial restructuring and the physical organization of regional economies, which both have an effect on urban carbon emissions, it can also replace non-rail freight traffic. On the other hand, international trade opening significantly affects carbon emissions, but there is a large difference between the impact of exports and imports on carbon emissions (<xref ref-type="bibr" rid="B35">Salman et al., 2019</xref>). In fact, CRE has the attributes of open international trade (<xref ref-type="bibr" rid="B48">Wang and Bu, 2019</xref>; <xref ref-type="bibr" rid="B11">Fang et al., 2020</xref>), and affects urban carbon emissions in the process of participating in export and import.</p>
<p>Studies on CRE have mostly focused on two elements. The operation of CRE has been studied from the perspectives of complex network analysis and transportation engineering in the first section. From a transportation engineering perspective, <xref ref-type="bibr" rid="B20">Jiang et al. (2018)</xref> examined the hinterland patterns of CRE and the types of product transportation and found that government subsidies reduced CRE transportation costs by 60%, while IT products tended to choose CRE transportation methods. <xref ref-type="bibr" rid="B54">Yin et al. (2020)</xref> found that carbon emissions, transportation costs, and transportation time have important effects on CRE operating plans, especially freight collection mode and transportation routes, but have less effect on operating frequency. From the perspective of complex network analysis, <xref ref-type="bibr" rid="B57">Zhang et al. (2020)</xref> used the structural hole indicator to examine the importance of nodes along the CRE network. He discovered that the nodes in China&#x2019;s Guangzhou, Beihai, Quanzhou, Fuzhou, and Xiamen are quite significant. As a result, the nodes are important to multimodal transportation. <xref ref-type="bibr" rid="B59">Zhao et al. (2018)</xref> and <xref ref-type="bibr" rid="B60">Zhao et al. (2019)</xref> comprehensively evaluated the CRE network and empirically analyze the selection of consolidation centers and the optimization of routes.</p>
<p>According to some researchers, the second part of CRE opening might be seen as a sort of exogenous quasi-natural experiment. They then conducted an empirical analysis of the effects of CRE opening on economic and innovative activity using the Differences-in-Differences (DID) model. <xref ref-type="bibr" rid="B50">Wong et al. (2021)</xref> found that the opening of CRE boosted Chinese firms&#x2019; outbound investment and significantly improved the quality of urban economic growth; <xref ref-type="bibr" rid="B29">Li et al. (2022)</xref> found that CRE opening significantly increased urban total factor productivity through external effects and synergy effects, and there were significant positive spatial spillover effects; <xref ref-type="bibr" rid="B27">Li et al. (2021b)</xref> argued that CRE opening reduced factor transportation costs and attracted factor resource inflows, which in turn promoted industrial structure upgrading; <xref ref-type="bibr" rid="B11">Fang et al. (2020)</xref> confirmed the role of CRE opening in improving the openness of cities to international trade; <xref ref-type="bibr" rid="B61">Zhou and Zhang (2021)</xref> found that the opening of CRE effectively enhanced bilateral market attraction and reduced firms&#x2019; export costs, thus significantly boosting urban import and export growth. <xref ref-type="bibr" rid="B48">Wang and Bu (2019)</xref> considered CRE opening as an important manifestation of international trade activities that can increase export intensity and firm innovation level. <xref ref-type="bibr" rid="B49">Wei and Gu (2021)</xref> found that CRE opening can rationalize the flow and allocation of innovation factors, thus significantly improving urban innovation efficiency.</p>
<p>According to the above literature analysis, existing researchers have concentrated on the operational aspects of CRE and its effects on economic and innovation activities, but have not yet concentrated on its effects and mechanism on carbon emissions. We should not discount the possible effect of CRE opening on carbon emissions either, especially in light of the current state of global warming and China&#x2019;s move to a green economy. As a Chinese-led policy arrangement for international land transport of goods and foreign trade cooperation, the opening of CRE is a typical quasi-natural experiment (<xref ref-type="bibr" rid="B50">Wong et al., 2021</xref>; <xref ref-type="bibr" rid="B61">Zhou and Zhang, 2021</xref>). In consideration of this, based on the panel data of 284 cities at the prefecture level and above in China from 2003 to 2019, we use the multi-period Difference-in-differences (DID) model and the mediating effect model to systematically examine the impact of CRE opening on urban carbon emissions and the mechanism of action. This study makes an effort to assess the mechanism behind CRE opening&#x2019;s ability to reduce carbon emissions and offers support for China&#x2019;s determination to pursue the climate goal of &#x201c;peak carbon and carbon neutrality.&#x201d;</p>
<p>The marginal contributions of this paper are mainly in the following three aspects. First, in the context of the Chinese government&#x2019;s vigorous efforts in a low-carbon green economy, this paper for the first time constructs a research framework on CRE and CO2 emissions in terms of the transportation substitution effect, industrial structure effect, economic agglomeration effect, and trade opening effect, and proposes corresponding theoretical hypotheses, which enriches the research on transportation economy represented by CRE. In contrast to the existing studies that only focus on the economic and innovation effects of CRE opening, this paper focuses on the carbon emission reduction effects of CRE opening. Second, in a typical quasi-natural experiment, we treat the opening of CRE as a typical quasi-natural experiment and use the multi-period DID model and mediating effect model to accurately identify the causal relationship and transmission mechanism between CRE and carbon emissions. In addition, we conduct a series of robustness tests, such as the placebo test, PSM-DID estimation, and instrumental variables estimation, which provide reliable empirical support to test the theoretical hypotheses. Third, in terms of research depth, based on the perspectives of location conditions, scale, and resource endowment of Chinese cities, we further explore the heterogeneous effects of CRE opening on urban carbon emissions, providing reliable empirical evidence and rich policy insights for achieving high-quality development of CRE and low-carbon green economic development.</p>
<p>The next sections are organized as follows. <xref ref-type="sec" rid="s2">Section 2</xref> describes the transmission mechanism and formulates the theoretical hypotheses. <xref ref-type="sec" rid="s3">Section 3</xref> describes the research methodology and data description. <xref ref-type="sec" rid="s4">Section 4</xref> conducts the baseline empirical results and robustness analysis. <xref ref-type="sec" rid="s5">Section 5</xref> conducts the mechanism test and heterogeneity analysis. <xref ref-type="sec" rid="s5">Section 6</xref> describes the research conclusions and policy implications and discusses future research directions.</p>
</sec>
<sec id="s2">
<title>2 Policy background and mechanism analysis</title>
<sec id="s2-1">
<title>2.1 Policy background</title>
<p>China urgently needs to strengthen its economic and trade cooperation ties with European nations in light of the expanding trade protectionism and COVID-19 epidemic, which has a negative influence on the global economy. Meanwhile, the Chinese government hopes to strengthen foreign economic partnerships through connected infrastructure (e.g., cross-border land transport links), thereby achieving the goal of high-quality economic openness for inland cities. In 2011, Chongqing City, China officially opened the &#x201c;Chong (Chongqing) Xin (Xinjiang) Europe (European countries)&#x201d; international freight train, according to a fixed schedule and route car, through the territory of Xinjiang Alashankou border crossing, Kazakhstan, Russia, Belarus, Poland, finally arrived in Duisburg, Germany. In each subsequent year, more and more cities in China have opened international freight trains, such as Suzhou, Wuhan, and Changsha in 2012, Dalian, Zhengzhou, Dongguan and Chengdu in 2013, Jinhua (Yiwu) and Hefei in 2014, Yingkou, Harbin, Xuzhou, Lianyungang, Xiamen, Nanchang, Linyi, Kunming and Lanzhou in 2015.</p>
<p>China&#x2019;s National Development and Reform Commission and China Railway Corporation unified the brand of pre-operational international freight trains as CRE and jointly released the &#x201c;China-European Express Construction and Development Plan (2016&#x2013;2020)&#x201d; to integrate the resources of international freight trains and create a well-known logistics brand with international competitiveness. CRE refers to the international railroad intermodal train running between China and European countries according to the fixed number of trains, routes, schedules, and full schedules. In April 2019, &#x201c;the Joint Communique of the Roundtable Summit of the Second &#x2018;Belt and Road&#x2019; International Cooperation Summit Forum&#x201d; announced the establishment of the &#x201c;Joint Working Group on CRE Transport,&#x201d; and the guarantee mechanism related to the international operation of CRE is being continuously improved. The CRE has gradually become an important platform for the construction of &#x201c;Belt and Road&#x201d; and the realization of high-quality economic opening, and is planned to form a comprehensive cross-border transportation service system with reasonable layout, perfect facilities, stable capacity, convenient and efficient, safe and smooth by 2020.</p>
<p>CRE has operated as a new land-based commercial route and a new platform for international freight cooperation between Eurasia and the continent. CRE has increasingly come to know that two-way fully loaded commodities operate regularly to meet the development needs of China&#x2019;s international trade. By the end of 2019, there are 58 additional Chinese cities where the CRE may have been established, up from 19 in 2015. There were 21,225 CREs as of 2019, representing an average yearly growth rate of 127%. The overall cost of the trains&#x2019; transportation dropped by roughly 40%, and their running time was reduced by about 30%. (<xref ref-type="bibr" rid="B61">Zhou and Zhang, 2021</xref>). In 2020, the transportation cost of CER is about 20% of that of air transportation, and the transportation time is about 25% of that of sea transportation. Additionally, it has the traits of being very stable and less susceptible to environmental change, which gives it comparative advantages in satisfying particular logistical objectives like high value and rapid timeliness. By the end of 2021, China will have connected 180 cities in at least 23 European nations by opening 91 cities with CREs.</p>
<p>Compared with traditionally relying mainly on sea transport for foreign trade, the opening of CRE, as a new way of organizing international land transport, provides a new choice of logistics for international trade between Asia and Europe. Meanwhile, it has adjusted the city&#x2019;s cross-border trade transport mode. New global markets have been established, and the cost of shipping goods for trade between China and Europe has changed. This has changed not only the main means of transporting goods across international borders, but has also affected the modernization and upgrading of the industrial structure and industrial clustering. The openness of CRE has also sped up the progress of urban trade opening and significantly increased the level of trade facilitation and liberalization as one of the key forms of economic opening. Since CRE is a type of commercial opening and international land transportation, it has changed the city&#x2019;s economic development and could affect the city&#x2019;s low-carbon green development process.</p>
</sec>
<sec id="s2-2">
<title>2.2 Mechanism analysis</title>
<sec id="s2-2-1">
<title>2.1.1 Transportation substitution effect</title>
<p>As a typical transportation infrastructure, CRE is a cross-border land transportation channel built under the leadership of the Chinese government and has similar characteristics of a public good as HSR. CRE is a transnational cargo transport agreement, a new framework for international cargo transport cooperation built on the existing railroad network, in contrast to HSR for passenger transport (<xref ref-type="bibr" rid="B61">Zhou and Zhang, 2021</xref>). CRE has a significant transportation cost advantage, as <xref ref-type="bibr" rid="B20">Jiang et al. (2018)</xref> found that the average shipping time from a Chinese central city to a Western European port city is four times longer than that of CRE transportation. In the background of global &#x201c;carbon neutrality,&#x201d; with its unique cost advantage and railroad network, CRE replaces the freight volume originally transported across the border by road, water and air. It also integrates &#x201c;energy saving and emission reduction&#x201d; into transportation. Especially for Chinese inland cities, the opening of CRE makes up for the inherent disadvantage of location, and allows goods and commodities to be transported directly across the border. It reduces the transit process of other types and enables the gradual transformation of the local low-carbon economy.</p>
<p>Whether rail transportation is low-carbon is a topic of academic debate. For example, <xref ref-type="bibr" rid="B31">Liu et al. (2015a)</xref> compared the carbon emissions of each transportation mode in China in 2012. He found that CO<sub>2</sub> emissions from roads, waterways, and air reached 65.21%, 29.07%, and 3.61%, respectively, while CO<sub>2</sub> emissions from railroad transportation accounted for only 2.11%. Meanwhile, Li et al. (2021) also found that the share of railroad carbon emissions in total transportation carbon emissions in China in 2019 was only .68%, much lower than the share of carbon emissions from roads (86.76%), waterways (6.47%), and aviation (6.09%). In addition, <xref ref-type="bibr" rid="B25">Li et al. (2019)</xref> found that transportation carbon emissions from roads, waterways, and aviation in China have increased, while rail transportation carbon emissions have decreased, with roads being the main source of transportation carbon emissions growth in China. It can be seen that railroads play an important role in reducing overall greenhouse gas emissions. It is more environmentally friendly than other modes of transportation. (<xref ref-type="bibr" rid="B3">Baker et al., 2010</xref>). As a result, rail has emerged as the alternative for moving freight that is least harmful to the environment. It has significantly decreased direct carbon emissions thanks to the rise in freight orders from the CRE. This means that when CRE opens, the drop in non-rail freight also means a significant drop in carbon emissions. In conclusion, we believe that CRE opening reduces urban carbon emissions through the transportation substitution effect.</p>
</sec>
<sec id="s2-2-2">
<title>2.2.2 Industrial structure effect</title>
<p>As a cross-border land transportation channel and international trade cooperation mechanism, CRE compresses time and space costs, and influences industrial structure adjustment. The theory of new economic geography states that CRE encourages the development of the opening city to take advantage of the core region&#x2019;s comparative advantage by lowering the cost of factor transportation and luring in new sources of factor resources. It also encourages the improvement of the industrial structure under the influence of circular accumulation (<xref ref-type="bibr" rid="B27">Li et al., 2021b</xref>). The industrial structure has been improved and developed in the direction of services at this time, and services like transportation, wholesale and retail, and business services&#x2014;all of which are directly tied to CRE&#x2014;have developed quickly. Therefore, CRE promotes the transformation and upgrading of industrial structure with liner transportation and deepens bilateral industrial cooperation. Then it promotes international production capacity cooperation, promotes trade and investment integration, and realizes the reform goal of industrial upgrading and optimization.</p>
<p>Furthermore, industrial structure adjustment is a key factor in carbon emissions. The consumption of energy and natural resources decreases along with the proportion of the industry, which in turn lowers carbon emissions. High-energy and high-pollution businesses are gradually removed and transformed as China&#x2019;s regional economic development, green technology levels, and environmental legislation advance, and industrial restructuring aids in hastening the attainment of China&#x2019;s carbon emission intensity targets. <xref ref-type="bibr" rid="B56">Zhang et al. (2018)</xref> found that carbon emission reductions due to the restructuring of the three major industries in China accounted for 28.22% of the total national carbon emission reductions. There is a significant difference in the contribution of different industrial sectors to carbon emission reduction, with the structural transformation of agriculture and industry playing a positive role in carbon emission reduction. Combined with the region&#x2019;s industrial advantages, high-value-added and low-pollution services have been developed rapidly, gradually replacing high-pollution industries, thereby reducing pollution emissions (<xref ref-type="bibr" rid="B17">He et al., 2018</xref>). In addition, the focus of industrial restructuring is to enhance the added value of products, thereby reducing energy consumption and carbon emission intensity per unit of added value. The increase in the added value of products mainly relies on the development of the producer service industry, which can reduce the production cost of the manufacturing industry, and extend the industrial value chain. It also reduces carbon emissions in the process of promoting the transformation and upgrading of the manufacturing structure (<xref ref-type="bibr" rid="B16">Han and Xie, 2017</xref>). In conclusion, we think that the CRE&#x2019;s opening will encourage the modernization of industrial infrastructure and thus lower urban carbon emissions.</p>
</sec>
<sec id="s2-2-3">
<title>2.2.3 Economic agglomeration effect</title>
<p>According to the new economic geography, the combination of market size, cross-regional factor flows, and transportation costs determine the concentration of regional economic activities under monopolistic competition (<xref ref-type="bibr" rid="B22">Krugman, 1980</xref>; <xref ref-type="bibr" rid="B23">Krugman, 1991</xref>). Transportation infrastructure has been shown to lower transportation costs, improve the availability of goods, capital, labor, and other elements, and alter the geographic distribution of economic activities (<xref ref-type="bibr" rid="B9">Donaldson and Hornbeck, 2016</xref>; <xref ref-type="bibr" rid="B1">Ahlfeldt and Feddersen, 2018</xref>). CRE development must take into account elements like cheap cost and the city&#x2019;s need for global commodity trading as a new kind of international land transportation. It has a significant influence on where industrial and service firms choose to locate. Relying on cross-border rail networks, the opening of CRE has effectively expanded market boundaries, greatly reduced transportation costs, enhanced the accessibility of goods, and thus changed the economic quality and agglomeration of cities in time and space (<xref ref-type="bibr" rid="B50">Wong et al., 2021</xref>). In addition, CRE connects Asia-Europe transportation routes, making the economic gathering and radiation function along the routes stronger and stronger. CRE not only brings convenience and benefits to the people of each country, but also injects new vitality into the development of enterprises and industries in the countries along the routes.</p>
<p>Higher economic density leads to stronger spillover effects of sharing, matching, and learning from agglomeration economies in areas with higher levels of economic agglomeration (<xref ref-type="bibr" rid="B18">Ingstrup and Damgaard, 2013</xref>). This leads to an efficient allocation of resources, resulting in higher utilization of human capital and equipment and emission reduction effects. The massive agglomeration of production factors creates conditions for energy saving and emission reduction. On the one hand, the positive externalities and economies of scale of economic agglomeration are increasingly prominent. They are conducive to accelerating technological change and exchange, generating green technology spillover effects, and prompting enterprises to improve their energy-saving and emission-reduction performance. For example, the degree of energy-saving and emission reduction in urban areas with higher economic agglomeration is higher than that in rural areas with lower agglomeration (<xref ref-type="bibr" rid="B13">Glaeser and Kahn, 2010</xref>). On the other hand, economic agglomeration facilitates unified environmental management by government agencies and reduces the cost of government environmental regulation of enterprises. It promotes the development of agglomeration of professional environmental protection enterprises, and thus limits the growth of carbon emissions (<xref ref-type="bibr" rid="B15">Han et al., 2018</xref>; <xref ref-type="bibr" rid="B40">Shao et al., 2019a</xref>). In addition, <xref ref-type="bibr" rid="B55">Yu et al. (2020)</xref> empirically showed that urban agglomeration activities significantly reduced carbon emissions, i.e., for every 1% increase in urban population, carbon emissions would be reduced by .22%. Thus, CRE opening promotes economic agglomeration, which in turn leads to carbon reduction.</p>
</sec>
<sec id="s2-2-4">
<title>2.2.4 Trade opening effect</title>
<p>The CRE is a new international land transportation corridor that opens up new opportunities for cross-border freight collaboration on the Eurasian continent and considerably boosts the development of commodity import and export in Chinese cities (<xref ref-type="bibr" rid="B61">Zhou and Zhang, 2021</xref>). To promote trade facilitation and increase the gravitational pull of the bilateral market, CRE discovered the need for &#x201c;point-to-point&#x201d; transit between opening cities and destination nations. Compared with road, air, and sea, CRE has the advantages of low-cost and stable transportation, which attracts a large number of cross-border commodities and cargoes. CRE can reduce the uncertainty in transit and maximize trade convenience, to attract a large number of cross-border goods and sources. <xref ref-type="bibr" rid="B11">Fang et al. (2020)</xref> found that the opening of CRE would significantly reduce trade costs, unleash the effect of scale economies and external economies in related industries, and improve the competitiveness of export products and expand demand for imported products, thereby expanding the degree of trade openness.</p>
<p>The impact of international trade opening on carbon emissions is complex and two-sided (<xref ref-type="bibr" rid="B36">Shahbaz et al., 2017</xref>). On the one hand, increased exports result in higher domestic output, which uses a lot of energy, fossil fuels, and other natural resources and increases carbon emissions (<xref ref-type="bibr" rid="B6">Bosupeng, 2016</xref>). On the other side, as imports increase, the manufacturing of domestic products is replaced, which results in a decrease in the resources and energy used in production and a consequent reduction in carbon emissions. <xref ref-type="bibr" rid="B33">Long et al. (2018)</xref> found that China&#x2019;s embodied carbon emissions in exports reached 2318.73 Mt in 2014 compared to 2000, much higher than the 757 Mt of embodied carbon emissions in imports in the same period. This indicates that China was a typical net exporter of embodied carbon. Meanwhile, the expansion of imports has also brought knowledge and technology spillover, prompting domestic enterprises to transform technology and improve production efficiency, and achieve cleaner production (<xref ref-type="bibr" rid="B21">Kozul-Wright and Fortunato, 2012</xref>). In addition, <xref ref-type="bibr" rid="B52">Yang et al. (2018)</xref> argue that import activities introduce advanced technologies and equipment that contribute to the gradual improvement of labor productivity and resource use efficiency, while the import of resources and energy relieves production pressure, thus reducing carbon emissions in the long run. If the import is more open than the export, trade opening can lower carbon emissions, and <italic>vice versa</italic>, it can increase carbon emissions. As a result, we think that expanding CRE can increase trade openness, which in turn influences urban carbon emissions.</p>
<p>
<xref ref-type="fig" rid="F1">Figure 1</xref> illustrates the relationship among all the mechanisms. Based on the above mechanism analysis, we propose the following two theoretical hypotheses:</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>Mechanism diagram.</p>
</caption>
<graphic xlink:href="fenvs-10-1073208-g001.tif"/>
</fig>
<p>
<statement content-type="hypothesis" id="Hypothesis_1">
<label>Hypothesis 1:</label>
<p>The opening of CRE significantly reduces urban carbon emissions.</p>
</statement>
</p>
<p>
<statement content-type="hypothesis" id="Hypothesis_2">
<label>Hypothesis 2:</label>
<p>The opening of CRE reduces urban carbon emissions by exerting the transportation substitution effect, upgrading the industrial structure, enhancing the economic agglomeration effect, and promoting trade opening.</p>
</statement>
</p>
</sec>
</sec>
</sec>
<sec id="s3">
<title>3 Methodology and data</title>
<sec id="s3-1">
<title>3.1 Econometric model</title>
<p>Referring to <xref ref-type="bibr" rid="B28">Li et al. (2021c)</xref> and <xref ref-type="bibr" rid="B50">Wong et al. (2021)</xref>, we take the opening of CRE as a quasi-natural experiment, and empirically investigate the impact of the opening of CRE on urban carbon emissions by using the multi-period DID model. The econometric model is as follows.<disp-formula id="e1">
<mml:math id="m1">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>O</mml:mi>
<mml:mi>E</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mi>c</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:mi>&#x3b1;</mml:mi>
<mml:msub>
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>R</mml:mi>
<mml:mi>E</mml:mi>
</mml:mrow>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>&#xd7;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>P</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
<mml:mi>t</mml:mi>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:mi mathvariant="bold-italic">&#x3b2;</mml:mi>
<mml:msub>
<mml:mi mathvariant="bold-italic">Z</mml:mi>
<mml:mrow>
<mml:mi mathvariant="bold-italic">i</mml:mi>
<mml:mi mathvariant="bold-italic">t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3b3;</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3b8;</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3f5;</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
<label>(1)</label>
</disp-formula>where <inline-formula id="inf1">
<mml:math id="m2">
<mml:mrow>
<mml:mi>i</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula id="inf2">
<mml:math id="m3">
<mml:mrow>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> represent cities and years respectively. <inline-formula id="inf3">
<mml:math id="m4">
<mml:mrow>
<mml:mi>c</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> is a constant term and <inline-formula id="inf4">
<mml:math id="m5">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3f5;</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is a random error term. <inline-formula id="inf5">
<mml:math id="m6">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="bold-italic">Z</mml:mi>
<mml:mrow>
<mml:mi mathvariant="bold-italic">i</mml:mi>
<mml:mi mathvariant="bold-italic">t</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> denotes a series of control variable vectors, and <inline-formula id="inf6">
<mml:math id="m7">
<mml:mrow>
<mml:mi>&#x3b2;</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> is the corresponding coefficient vectors to be estimated. The explained variable <inline-formula id="inf7">
<mml:math id="m8">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
<mml:mi mathvariant="normal">E</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the level of carbon emissions. Explanatory variable <inline-formula id="inf8">
<mml:math id="m9">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mi mathvariant="normal">R</mml:mi>
<mml:mi mathvariant="normal">E</mml:mi>
</mml:mrow>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>&#xd7;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">P</mml:mi>
<mml:mi mathvariant="normal">o</mml:mi>
<mml:mi mathvariant="normal">s</mml:mi>
<mml:mi mathvariant="normal">t</mml:mi>
</mml:mrow>
<mml:mi mathvariant="normal">t</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> indicates whether city <inline-formula id="inf9">
<mml:math id="m10">
<mml:mrow>
<mml:mi>i</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> opened CRE in year <inline-formula id="inf10">
<mml:math id="m11">
<mml:mrow>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>. When city <inline-formula id="inf11">
<mml:math id="m12">
<mml:mrow>
<mml:mi>i</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> opened CRE in year <inline-formula id="inf12">
<mml:math id="m13">
<mml:mrow>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>, the value of <inline-formula id="inf13">
<mml:math id="m14">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mi mathvariant="normal">R</mml:mi>
<mml:mi mathvariant="normal">E</mml:mi>
</mml:mrow>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>&#xd7;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">P</mml:mi>
<mml:mi mathvariant="normal">o</mml:mi>
<mml:mi mathvariant="normal">s</mml:mi>
<mml:mi mathvariant="normal">t</mml:mi>
</mml:mrow>
<mml:mi mathvariant="normal">t</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is 1, otherwise, the value is 0. <inline-formula id="inf14">
<mml:math id="m15">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b3;</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula id="inf15">
<mml:math id="m16">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b8;</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> represent city fixed effect and time fixed effect respectively. The coefficient <inline-formula id="inf16">
<mml:math id="m17">
<mml:mrow>
<mml:mi>&#x3b1;</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> reveals the difference in the impact on carbon emissions between the opened and unopened cities after the opening of CRE. We focus on the results for the coefficient <inline-formula id="inf17">
<mml:math id="m18">
<mml:mrow>
<mml:mi>&#x3b1;</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>. When &#x3b1; is significantly negative, it indicates that cities that have opened CRE are effective in reducing carbon emissions compared to cities that have not opened.</p>
</sec>
<sec id="s3-2">
<title>3.2 Variable definition</title>
<sec id="s3-2-1">
<title>3.2.1 Explained variable</title>
<p>The explained variable <inline-formula id="inf18">
<mml:math id="m19">
<mml:mrow>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
<mml:mi mathvariant="normal">E</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi mathvariant="normal">i</mml:mi>
<mml:mi mathvariant="normal">s</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> measured by the logarithm of the total carbon emissions of each city. It should be noted that China does not currently have official statistics on carbon emissions at the city level, and the accuracy of published data such as energy consumption and CO<sub>2</sub> emission factors is low (<xref ref-type="bibr" rid="B32">Liu et al., 2015b</xref>). Meanwhile, most of the current city-level carbon emissions are obtained by the method of back calculation from socio-economic factors (<xref ref-type="bibr" rid="B42">Song et al., 2015</xref>), but the obtained measurement results have large errors due to factors such as statistical caliber and data sources. To avoid the above problems that lead to biased empirical results, we apply a top-down approach to measure the total CO<sub>2</sub> emissions of cities at the prefecture level and above (<xref ref-type="bibr" rid="B34">Meng et al., 2014</xref>).</p>
</sec>
<sec id="s3-2-2">
<title>3.2.2 Explanatory variable</title>
<p>The explanatory variable <inline-formula id="inf19">
<mml:math id="m20">
<mml:mrow>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mi mathvariant="normal">R</mml:mi>
<mml:mi mathvariant="normal">E</mml:mi>
<mml:mo>&#xd7;</mml:mo>
<mml:mi mathvariant="normal">P</mml:mi>
<mml:mi mathvariant="normal">o</mml:mi>
<mml:mi mathvariant="normal">s</mml:mi>
<mml:mi mathvariant="normal">t</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> is the interaction between the city dummy variable <inline-formula id="inf20">
<mml:math id="m21">
<mml:mrow>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mi mathvariant="normal">R</mml:mi>
<mml:mi mathvariant="normal">E</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> for whether <inline-formula id="inf21">
<mml:math id="m22">
<mml:mrow>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mi mathvariant="normal">R</mml:mi>
<mml:mi mathvariant="normal">E</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> is opened and the time dummy variable <inline-formula id="inf22">
<mml:math id="m23">
<mml:mrow>
<mml:mi mathvariant="normal">P</mml:mi>
<mml:mi mathvariant="normal">o</mml:mi>
<mml:mi mathvariant="normal">s</mml:mi>
<mml:mi mathvariant="normal">t</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> for when <inline-formula id="inf23">
<mml:math id="m24">
<mml:mrow>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mi mathvariant="normal">R</mml:mi>
<mml:mi mathvariant="normal">E</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> is opened. By sorting out the data on CRE opening, we found that 77 cities in China have opened CRE by the end of December 2019. Therefore, we consider the 77 cities as the treated group and the remaining cities as the control group. Considering the opening of some cities in the second half of the year, the initial operation of the opening is less frequent, which may not affect the city&#x2019;s carbon emissions for a short period. Therefore, we then take June of the actual opening year as the cut-off point, and take the time dummy variable <inline-formula id="inf24">
<mml:math id="m25">
<mml:mrow>
<mml:mi mathvariant="normal">P</mml:mi>
<mml:mi mathvariant="normal">o</mml:mi>
<mml:mi mathvariant="normal">s</mml:mi>
<mml:mi mathvariant="normal">t</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> to be 1 from the current year for <inline-formula id="inf25">
<mml:math id="m26">
<mml:mrow>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mi mathvariant="normal">R</mml:mi>
<mml:mi mathvariant="normal">E</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> opened before June, and <inline-formula id="inf26">
<mml:math id="m27">
<mml:mrow>
<mml:mi mathvariant="normal">P</mml:mi>
<mml:mi mathvariant="normal">o</mml:mi>
<mml:mi mathvariant="normal">s</mml:mi>
<mml:mi mathvariant="normal">t</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> to be 1 from the next year for those opened after June, and 0 for the rest of the time.</p>
</sec>
<sec id="s3-2-3">
<title>3.2.3 Control variables</title>
<p>Economic development (<inline-formula id="inf27">
<mml:math id="m28">
<mml:mrow>
<mml:mi>E</mml:mi>
<mml:mi>C</mml:mi>
<mml:mi>D</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>). Increased industrial output can be sparked by higher levels of city economic development, which could also ultimately result in higher carbon emissions (<xref ref-type="bibr" rid="B58">Zhang and Da, 2015</xref>). We use the logarithm of GDP <italic>per capita</italic> to measure economic development, and this variable is expected to increase CO<sub>2</sub> emissions.</p>
<p>Population density (<inline-formula id="inf28">
<mml:math id="m29">
<mml:mrow>
<mml:mi>P</mml:mi>
<mml:mi>P</mml:mi>
<mml:mi>D</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>). Theoretically, population density may both increase carbon emissions through scale effects (<xref ref-type="bibr" rid="B45">Verhoef and Nijkamp, 2002</xref>) and optimize environmental quality through agglomeration effects (<xref ref-type="bibr" rid="B13">Glaeser and Kahn, 2010</xref>). Therefore, we use the total population per unit of urban administrative area to express<bold>.</bold> The direction of the influence remains uncertain.</p>
<p>Human Capital (<inline-formula id="inf29">
<mml:math id="m30">
<mml:mrow>
<mml:mi>H</mml:mi>
<mml:mi>M</mml:mi>
<mml:mi>C</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>). The development of human capital supports the advancement of green technology, which enhances environmental quality. Limited by the availability of data, we use the number of urban education sector employees as a share of total urban employees to express that the expected sign is positive.</p>
<p>Energy consumption (<inline-formula id="inf30">
<mml:math id="m31">
<mml:mrow>
<mml:mi>E</mml:mi>
<mml:mi>G</mml:mi>
<mml:mi>C</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>). Fossil energy is the main source of CO<sub>2</sub> emissions. Due to limited data availability and drawing from <xref ref-type="bibr" rid="B44">Sun and Li (2021)</xref>, we use the logarithm of the total urban society-wide electricity consumption to express. The expected impact is positive.</p>
<p>Environmental regulation (<inline-formula id="inf31">
<mml:math id="m32">
<mml:mrow>
<mml:mi>E</mml:mi>
<mml:mi>M</mml:mi>
<mml:mi>R</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>). Environmental regulation is an important factor influencing the environmental quality and usually includes nationally uniform environmental regulations (<xref ref-type="bibr" rid="B39">Shao et al., 2011</xref>) and municipal environmental regulations (Bai et al., 2018). As a result, we build a new environmental regulation variable that accounts for both national and local regulations. To be specific, we use the dummy variable of China&#x2019;s energy conservation and emission reduction policy implemented in 2006 to denote the national-level environmental regulation <inline-formula id="inf32">
<mml:math id="m33">
<mml:mrow>
<mml:mi>E</mml:mi>
<mml:mi>M</mml:mi>
<mml:mi>R</mml:mi>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula>, and the average of the comprehensive utilization rate of urban general industrial solid waste, sewage treatment rate, and domestic waste treatment rate to denote the city-level environmental regulation variable <inline-formula id="inf33">
<mml:math id="m34">
<mml:mrow>
<mml:mi>E</mml:mi>
<mml:mi>M</mml:mi>
<mml:mi>R</mml:mi>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula>. Then, we use the interaction term of <inline-formula id="inf34">
<mml:math id="m35">
<mml:mrow>
<mml:mi>E</mml:mi>
<mml:mi>M</mml:mi>
<mml:mi>R</mml:mi>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula id="inf35">
<mml:math id="m36">
<mml:mrow>
<mml:mi>E</mml:mi>
<mml:mi>M</mml:mi>
<mml:mi>R</mml:mi>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula> to represent the environmental regulation with a positive expected impact.</p>
<p>Foreign investment (<inline-formula id="inf36">
<mml:math id="m37">
<mml:mrow>
<mml:mi>F</mml:mi>
<mml:mi>D</mml:mi>
<mml:mi>I</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>). FDI has more complicated effects on the environment because it is a significant indicator of economic openness. There are two hypotheses for the relationship between the two: &#x201c;pollution halo&#x201d; and &#x201c;pollution haven&#x201d; (<xref ref-type="bibr" rid="B41">Shao et al., 2019b</xref>). Hence, we use the amount of foreign investment <italic>per capita</italic> to express the expected impact is uncertain.</p>
</sec>
<sec id="s3-2-4">
<title>3.2.4 Mediator variables</title>
<p>Transportation alternatives <inline-formula id="inf37">
<mml:math id="m38">
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>T</mml:mi>
<mml:mi>P</mml:mi>
<mml:mi>S</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:math>
</inline-formula>. The establishment of CRE has improved access to international trade in the city, partially replacing the amount of freight moved <italic>via</italic> roads, waterways, and the air. Therefore, we use the logarithm of non-rail freight <italic>per capita</italic> to express the transportation substitution effect, where non-rail freight includes roads, waterways, and air.</p>
<p>Industry structure (<inline-formula id="inf38">
<mml:math id="m39">
<mml:mrow>
<mml:mi>I</mml:mi>
<mml:mi>D</mml:mi>
<mml:mi>S</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>). The opening of CRE results in low-carbon development while also changing the status of the city&#x2019;s industrial structure and maximizing output. Normally, a decrease in the share of secondary industry, which is mainly industry, can effectively reduce carbon emissions (<xref ref-type="bibr" rid="B44">Sun and Li, 2021</xref>). Hence, we use the value added of the secondary sector as a share of GDP to measure the industry structure.</p>
<p>Economic Agglomeration (<inline-formula id="inf39">
<mml:math id="m40">
<mml:mrow>
<mml:mi>E</mml:mi>
<mml:mi>C</mml:mi>
<mml:mi>A</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>). In order to assist the decrease in carbon emissions, the openness of CRE has resulted in the mobility of components like labor, capital, and commodities as well as economic agglomeration within a specific range. Following <xref ref-type="bibr" rid="B8">Combes et al. (2007)</xref>, we use an employment density indicator for the measure, which is the ratio of the total number of employees in the secondary and tertiary industries to the administrative area of the city.</p>
<p>Trade opening (<inline-formula id="inf40">
<mml:math id="m41">
<mml:mrow>
<mml:mi>T</mml:mi>
<mml:mi>O</mml:mi>
<mml:mi>P</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>). The opening of CRE promotes the growth of urban import and export and has a differential impact on carbon emissions. To facilitate the identification of such differential impacts, we use the logarithm of the ratio of import dependence degree to export dependence degree to represent the trade opening.</p>
</sec>
</sec>
<sec id="s3-3">
<title>3.3 Data description</title>
<p>We take 284 cities at the prefecture level and above in China from 2003 to 2019 as the study object. For urban carbon emission data measurement, we first calibrate two sets of satellite nighttime light data, DMSP/OLS and VIIRS, by drawing on <xref ref-type="bibr" rid="B10">Elvidge et al. (2017)</xref>, to obtain the Chinese nighttime light datasets. Then, drawing on <xref ref-type="bibr" rid="B37">Shan et al. (2018)</xref>, we calculate China&#x2019;s provincial CO<sub>2</sub> emissions. Lastly, based on the significant positive correlation between nighttime lighting data and carbon emissions (<xref ref-type="bibr" rid="B46">Wang et al., 2017</xref>), we applied the top-down method to measure the carbon emissions in Chinese cities from 2003 to 2019. Besides, the data related to the opening of CRE is obtained from the official website of China Railway Corporation<xref ref-type="fn" rid="fn2">
<sup>2</sup>
</xref>, China State Railway Container Transportation Corporation<xref ref-type="fn" rid="fn3">
<sup>3</sup>
</xref>, &#x201c;Belt and Road&#x201d;<xref ref-type="fn" rid="fn4">
<sup>4</sup>
</xref>, local railroad bureaus, and other major official websites, <italic>etc.</italic> Except for the CO<sub>2</sub> emission data and CRE data, all other data used in this study are obtained from the 2004&#x2013;2020 <italic>China City Statistical Yearbook</italic>
<xref ref-type="fn" rid="fn5">
<sup>5</sup>
</xref>, <italic>China City Construction Statistical Yearbook,</italic> and the statistical yearbooks of each province. The descriptive statistical characteristics of the variables are shown in <xref ref-type="table" rid="T1">Table 1</xref>.</p>
<table-wrap id="T1" position="float">
<label>TABLE 1</label>
<caption>
<p>Descriptive statistics of variables.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Variables</th>
<th align="left">Unit</th>
<th align="left">Obs.</th>
<th align="left">Mean</th>
<th align="left">S.D.</th>
<th align="left">Min</th>
<th align="left">Max</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">
<inline-formula id="inf41">
<mml:math id="m42">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>O</mml:mi>
<mml:mi>E</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">10<sup>6</sup> tons</td>
<td align="left">4,828</td>
<td align="left">3.959</td>
<td align="left">.430</td>
<td align="left">2.596</td>
<td align="left">5.097</td>
</tr>
<tr>
<td align="left">
<inline-formula id="inf42">
<mml:math id="m43">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>R</mml:mi>
<mml:mi>E</mml:mi>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>P</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">-</td>
<td align="left">4,828</td>
<td align="left">.045</td>
<td align="left">.208</td>
<td align="left">.000</td>
<td align="left">1.000</td>
</tr>
<tr>
<td align="left">
<inline-formula id="inf43">
<mml:math id="m44">
<mml:mrow>
<mml:mi>E</mml:mi>
<mml:mi>C</mml:mi>
<mml:mi>D</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">Yuan</td>
<td align="left">4,828</td>
<td align="left">37216.940</td>
<td align="left">30181.910</td>
<td align="left">1885.032</td>
<td align="left">215496.500</td>
</tr>
<tr>
<td align="left">
<inline-formula id="inf44">
<mml:math id="m45">
<mml:mrow>
<mml:mi>P</mml:mi>
<mml:mi>P</mml:mi>
<mml:mi>D</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">10<sup>4</sup> persons/km<sup>2</sup>
</td>
<td align="left">4,828</td>
<td align="left">.045</td>
<td align="left">.050</td>
<td align="left">.001</td>
<td align="left">.663</td>
</tr>
<tr>
<td align="left">
<inline-formula id="inf45">
<mml:math id="m46">
<mml:mrow>
<mml:mi>H</mml:mi>
<mml:mi>M</mml:mi>
<mml:mi>C</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">%</td>
<td align="left">4,828</td>
<td align="left">13.408</td>
<td align="left">5.900</td>
<td align="left">.920</td>
<td align="left">36.500</td>
</tr>
<tr>
<td align="left">
<inline-formula id="inf46">
<mml:math id="m47">
<mml:mrow>
<mml:mi>E</mml:mi>
<mml:mi>G</mml:mi>
<mml:mi>C</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">10<sup>8</sup>&#xa0;kWh</td>
<td align="left">4,828</td>
<td align="left">98.597</td>
<td align="left">160.072</td>
<td align="left">.225</td>
<td align="left">1570.000</td>
</tr>
<tr>
<td align="left">
<inline-formula id="inf47">
<mml:math id="m48">
<mml:mrow>
<mml:mi>E</mml:mi>
<mml:mi>M</mml:mi>
<mml:mi>R</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">%</td>
<td align="left">4,828</td>
<td align="left">66.598</td>
<td align="left">33.831</td>
<td align="left">.000</td>
<td align="left">100.000</td>
</tr>
<tr>
<td align="left">
<inline-formula id="inf48">
<mml:math id="m49">
<mml:mrow>
<mml:mi>F</mml:mi>
<mml:mi>D</mml:mi>
<mml:mi>I</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">yuan/persons</td>
<td align="left">4,828</td>
<td align="left">831.299</td>
<td align="left">1287.880</td>
<td align="left">.007</td>
<td align="left">13171.360</td>
</tr>
<tr>
<td align="left">
<inline-formula id="inf49">
<mml:math id="m50">
<mml:mrow>
<mml:mi>T</mml:mi>
<mml:mi>P</mml:mi>
<mml:mi>S</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">tons/persons</td>
<td align="left">4,828</td>
<td align="left">27.159</td>
<td align="left">54.123</td>
<td align="left">.535</td>
<td align="left">3053.245</td>
</tr>
<tr>
<td align="left">
<inline-formula id="inf50">
<mml:math id="m51">
<mml:mrow>
<mml:mi>I</mml:mi>
<mml:mi>D</mml:mi>
<mml:mi>S</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">%</td>
<td align="left">4,828</td>
<td align="left">47.463</td>
<td align="left">11.116</td>
<td align="left">10.680</td>
<td align="left">90.970</td>
</tr>
<tr>
<td align="left">
<inline-formula id="inf51">
<mml:math id="m52">
<mml:mrow>
<mml:mi>E</mml:mi>
<mml:mi>C</mml:mi>
<mml:mi>A</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">10<sup>3</sup> persons/km<sup>2</sup>
</td>
<td align="left">4,828</td>
<td align="left">.062</td>
<td align="left">.143</td>
<td align="left">.0004</td>
<td align="left">2.482</td>
</tr>
<tr>
<td align="left">
<inline-formula id="inf52">
<mml:math id="m53">
<mml:mrow>
<mml:mi>T</mml:mi>
<mml:mi>O</mml:mi>
<mml:mi>P</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">yuan</td>
<td align="left">4,828</td>
<td align="left">4.793</td>
<td align="left">83.180</td>
<td align="left">.000</td>
<td align="left">3417.998</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
</sec>
<sec id="s4">
<title>4 Benchmark results and analysis</title>
<sec id="s4-1">
<title>4.1 Parallel trend test</title>
<p>It should be noted that the validity of the DID estimation results exists on the prerequisite, which the treatment and control groups should satisfy the parallel trend assumption. Referring to <xref ref-type="bibr" rid="B5">Beck et al. (2010)</xref>, we empirically test the parallel trend hypothesis by the event study method. The empirical model is as follows.<disp-formula id="e2">
<mml:math id="m54">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>O</mml:mi>
<mml:mi>E</mml:mi>
</mml:mrow>
<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>c</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msubsup>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>&#x3c3;</mml:mi>
<mml:mo>&#x2265;</mml:mo>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>8</mml:mn>
</mml:mrow>
<mml:mn>8</mml:mn>
</mml:msubsup>
<mml:msub>
<mml:mi>&#x3c0;</mml:mi>
<mml:mi>&#x3c3;</mml:mi>
</mml:msub>
<mml:msubsup>
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>R</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
<mml:mi>&#x3c3;</mml:mi>
</mml:msubsup>
<mml:mo>&#x2b;</mml:mo>
<mml:mi mathvariant="bold-italic">&#x3b2;</mml:mi>
<mml:msub>
<mml:mi mathvariant="bold-italic">Z</mml:mi>
<mml:mrow>
<mml:mi mathvariant="bold-italic">i</mml:mi>
<mml:mi mathvariant="bold-italic">t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3b3;</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3b8;</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3f5;</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
<label>(2)</label>
</disp-formula>where <inline-formula id="inf53">
<mml:math id="m55">
<mml:mrow>
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mi mathvariant="normal">R</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="normal">i</mml:mi>
<mml:mi mathvariant="normal">t</mml:mi>
</mml:mrow>
<mml:mi>&#x3c3;</mml:mi>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> is a dummy variable for year of CRE opening, <inline-formula id="inf54">
<mml:math id="m56">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3c0;</mml:mi>
<mml:mi>&#x3c3;</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the estimated parameter of carbon emissions before and after the opening of CRE. The remaining signs are explained in the same way as in the model (1). The base period is the year before the year of CRE opening, thus there is no dummy variable at the -1 time point in the model. After considering the year of sample and policy, we set the time range from 8&#xa0;years before opening to 8&#xa0;years after opening (<inline-formula id="inf55">
<mml:math id="m57">
<mml:mrow>
<mml:mi>&#x3c3;</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> value). Therefore, when &#x3c3; is less than 0, the estimated coefficient of <inline-formula id="inf56">
<mml:math id="m58">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3c0;</mml:mi>
<mml:mi>&#x3c3;</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is not significant, which means that there is no significant difference between the treatment and control groups before CRE opening. And then, it is consistent with the parallel trend hypothesis, otherwise, the parallel trend hypothesis is not met.</p>
<p>From <xref ref-type="fig" rid="F2">Figure 2</xref>, the estimated coefficients of <inline-formula id="inf57">
<mml:math id="m59">
<mml:mrow>
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mi mathvariant="normal">R</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="normal">i</mml:mi>
<mml:mi mathvariant="normal">t</mml:mi>
</mml:mrow>
<mml:mi>&#x3c3;</mml:mi>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> does not pass the significance test at the 10% level before the opening of CRE, indicating that there is no significant difference in the trend of urban carbon emissions between the treatment and control groups before the opening of CRE. In terms of the dynamic impact effect, the estimated coefficients pass the significance test from the second year of the policy shock, and the carbon reduction effect of CRE opening shows a trend of increasing fluctuation from year to year. In summary, the parallel trend test for the DID estimation method holds and also indicates that the subsequent empirical results are credible.</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>Parallel trend test.</p>
</caption>
<graphic xlink:href="fenvs-10-1073208-g002.tif"/>
</fig>
</sec>
<sec id="s4-2">
<title>4.2 Analysis of benchmark regression result</title>
<p>We empirically estimate model (1), and the regression results are reported in <xref ref-type="table" rid="T2">Table 2</xref>. The column (1) does not control for city-fixed effects and time-fixed effects, and columns (2)&#x2013;(5) control for city-fixed effects and time-fixed effects. The coefficient for <inline-formula id="inf58">
<mml:math id="m60">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>R</mml:mi>
<mml:mi>E</mml:mi>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>P</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> in column (1) is significantly positive (.1290) at a 1% level and the coefficient for column (2) is significantly negative (-.014) at a 1% level. Therefore, it is necessary to use two-way fixed effects for empirical estimation. When control variables are included, the benchmark results in column (5) show that the coefficient of <inline-formula id="inf59">
<mml:math id="m61">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>R</mml:mi>
<mml:mi>E</mml:mi>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>P</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> is significantly negative (-.0078) at a 1% level. It indicates that, compared to other cities, the cities with CRE can significantly reduce carbon emissions by .78 percentage. Hence, the opening of CRE significantly reduces urban carbon emissions, thus verifying the first theoretical hypothesis.</p>
<table-wrap id="T2" position="float">
<label>TABLE 2</label>
<caption>
<p>The result of benchmark regression.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th rowspan="2" align="left"/>
<th align="left">(1)</th>
<th align="left">(2)</th>
<th align="left">(3)</th>
<th align="left">(4)</th>
<th align="left">(5)</th>
</tr>
<tr>
<th align="left">
<inline-formula id="inf60">
<mml:math id="m62">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>O</mml:mi>
<mml:mi>E</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
<th align="left">
<inline-formula id="inf61">
<mml:math id="m63">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>O</mml:mi>
<mml:mi>E</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
<th align="left">
<inline-formula id="inf62">
<mml:math id="m64">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>O</mml:mi>
<mml:mi>E</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
<th align="left">
<inline-formula id="inf63">
<mml:math id="m65">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>O</mml:mi>
<mml:mi>E</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
<th align="left">
<inline-formula id="inf64">
<mml:math id="m66">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>O</mml:mi>
<mml:mi>E</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td rowspan="2" align="left">
<inline-formula id="inf65">
<mml:math id="m67">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>R</mml:mi>
<mml:mi>E</mml:mi>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>P</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">0.1290&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;0.0138&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;0.0082&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;0.0075&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;0.0078&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left">(0.0104)</td>
<td align="left">(0.0034)</td>
<td align="left">(0.0027)</td>
<td align="left">(0.0025)</td>
<td align="left">(0.0025)</td>
</tr>
<tr>
<td rowspan="2" align="left">
<inline-formula id="inf66">
<mml:math id="m68">
<mml:mrow>
<mml:mi>E</mml:mi>
<mml:mi>C</mml:mi>
<mml:mi>D</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left"/>
<td align="left"/>
<td align="left">0.049&#x2a;&#x2a;&#x2a;</td>
<td align="left">0.042&#x2a;&#x2a;&#x2a;</td>
<td align="left">0.040&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left"/>
<td align="left"/>
<td align="left">(0.006)</td>
<td align="left">(0.006)</td>
<td align="left">(0.006)</td>
</tr>
<tr>
<td rowspan="2" align="left">
<inline-formula id="inf67">
<mml:math id="m69">
<mml:mrow>
<mml:mi>P</mml:mi>
<mml:mi>P</mml:mi>
<mml:mi>D</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left"/>
<td align="left"/>
<td align="left">&#x2212;0.249&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;0.239&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;0.233&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left"/>
<td align="left"/>
<td align="left">(0.054)</td>
<td align="left">(0.054)</td>
<td align="left">(0.053)</td>
</tr>
<tr>
<td rowspan="2" align="left">
<inline-formula id="inf68">
<mml:math id="m70">
<mml:mrow>
<mml:mi>H</mml:mi>
<mml:mi>M</mml:mi>
<mml:mi>C</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left">&#x2212;0.147&#x2a;&#x2a;&#x2a;</td>
<td align="left">-0.148&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left">(0.052)</td>
<td align="left">(0.052)</td>
</tr>
<tr>
<td rowspan="2" align="left">
<inline-formula id="inf69">
<mml:math id="m71">
<mml:mrow>
<mml:mi>E</mml:mi>
<mml:mi>G</mml:mi>
<mml:mi>C</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left">0.007&#x2a;&#x2a;&#x2a;</td>
<td align="left">0.007&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left">(0.002)</td>
<td align="left">(0.002)</td>
</tr>
<tr>
<td rowspan="2" align="left">
<inline-formula id="inf70">
<mml:math id="m72">
<mml:mrow>
<mml:mi>E</mml:mi>
<mml:mi>M</mml:mi>
<mml:mi>R</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left">&#x2212;0.002</td>
</tr>
<tr>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left">(0.006)</td>
</tr>
<tr>
<td rowspan="2" align="left">
<inline-formula id="inf71">
<mml:math id="m73">
<mml:mrow>
<mml:mi>F</mml:mi>
<mml:mi>D</mml:mi>
<mml:mi>I</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left">0.001</td>
</tr>
<tr>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left">(0.001)</td>
</tr>
<tr>
<td rowspan="2" align="left">
<inline-formula id="inf72">
<mml:math id="m74">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">1.364&#x2a;&#x2a;&#x2a;</td>
<td align="left">1.371&#x2a;&#x2a;&#x2a;</td>
<td align="left">0.878&#x2a;&#x2a;&#x2a;</td>
<td align="left">0.883&#x2a;&#x2a;&#x2a;</td>
<td align="left">0.897&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left">(0.006)</td>
<td align="left">(0.0002)</td>
<td align="left">(0.068)</td>
<td align="left">(0.058)</td>
<td align="left">(0.059)</td>
</tr>
<tr>
<td align="left">City FE</td>
<td align="left">NO</td>
<td align="left">YES</td>
<td align="left">YES</td>
<td align="left">YES</td>
<td align="left">YES</td>
</tr>
<tr>
<td align="left">Year FE</td>
<td align="left">NO</td>
<td align="left">YES</td>
<td align="left">YES</td>
<td align="left">YES</td>
<td align="left">YES</td>
</tr>
<tr>
<td align="left">Obs.</td>
<td align="left">4,828</td>
<td align="left">4,828</td>
<td align="left">4,828</td>
<td align="left">4,828</td>
<td align="left">4,828</td>
</tr>
<tr>
<td align="left">
<italic>R</italic>
<sup>2</sup>
</td>
<td align="left">0.590</td>
<td align="left">0.949</td>
<td align="left">0.955</td>
<td align="left">0.957</td>
<td align="left">0.957</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>Notes: Standard errors clustered at city level are reported in parentheses, &#x2a;, &#x2a;&#x2a;, and &#x2a;&#x2a;&#x2a; represent significance levels of 10%, 5%, and 1%, respectively.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>In terms of control variables, the estimation results are consistent with theoretical expectations. Economic development <inline-formula id="inf73">
<mml:math id="m75">
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>E</mml:mi>
<mml:mi>C</mml:mi>
<mml:mi>D</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:math>
</inline-formula> and energy consumption <inline-formula id="inf74">
<mml:math id="m76">
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>E</mml:mi>
<mml:mi>G</mml:mi>
<mml:mi>C</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:math>
</inline-formula> significantly increase carbon emissions, while population density <inline-formula id="inf75">
<mml:math id="m77">
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>P</mml:mi>
<mml:mi>P</mml:mi>
<mml:mi>D</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:math>
</inline-formula> and human capital <inline-formula id="inf76">
<mml:math id="m78">
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>H</mml:mi>
<mml:mi>M</mml:mi>
<mml:mi>C</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:math>
</inline-formula> significantly decrease carbon emissions. Generally speaking, higher levels of urban economic development and higher energy consumption will increase urban output, and contribute to higher carbon emissions. Population density optimizes environmental quality through the agglomeration effect (<xref ref-type="bibr" rid="B13">Glaeser and Kahn, 2010</xref>), while human capital accumulation helps to promote green technology upgrading, which helps to achieve carbon emission reduction. Environmental regulation <inline-formula id="inf77">
<mml:math id="m79">
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>E</mml:mi>
<mml:mi>M</mml:mi>
<mml:mi>R</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:math>
</inline-formula> and foreign investment <inline-formula id="inf78">
<mml:math id="m80">
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>F</mml:mi>
<mml:mi>D</mml:mi>
<mml:mi>I</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:math>
</inline-formula> have insignificant effects on carbon emissions. As can be seen, the Chinese government should adopt more effective governance tools and optimize environmental regulation in achieving the goal of carbon emission reduction. The government should insist on implementing a high-quality opening-up strategy and accelerate the green and low-carbon upgrading of foreign investment.</p>
</sec>
<sec id="s4-3">
<title>4.3 Robust test</title>
<sec id="s4-3-1">
<title>4.3.1 Placebo test</title>
<p>Drawing on <xref ref-type="bibr" rid="B7">Chetty et al. (2009)</xref> and <xref ref-type="bibr" rid="B24">Li et al. (2016)</xref>, we used a placebo test to ensure the robustness of the benchmark result. First, we randomly generate a list of CRE-opened cities and assign the corresponding opening years, thus forming a sample of errors. Then, based on the benchmark model (1), we empirically estimate the above false sample using the DID method, leading to a false estimation coefficient <inline-formula id="inf79">
<mml:math id="m81">
<mml:mrow>
<mml:msup>
<mml:mi>&#x3b1;</mml:mi>
<mml:mrow>
<mml:mi>f</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>l</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula> for CRE opening. Finally, we repeat the above process 3,000 times and thus obtain 3,000 false estimation coefficients <inline-formula id="inf80">
<mml:math id="m82">
<mml:mrow>
<mml:msup>
<mml:mi>&#x3b1;</mml:mi>
<mml:mrow>
<mml:mi>f</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>l</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula>. We next show the distribution of the above 3000 false coefficients <inline-formula id="inf81">
<mml:math id="m83">
<mml:mrow>
<mml:msup>
<mml:mi>&#x3b1;</mml:mi>
<mml:mrow>
<mml:mi>f</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>l</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula> and their <italic>p</italic>-values (<xref ref-type="fig" rid="F3">Figure 3</xref>), where the red dashed line is the correct coefficient <inline-formula id="inf82">
<mml:math id="m84">
<mml:mrow>
<mml:mi>&#x3b1;</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> of the benchmark estimate. Theoretically, the coefficient <inline-formula id="inf83">
<mml:math id="m85">
<mml:mrow>
<mml:msup>
<mml:mi>&#x3b1;</mml:mi>
<mml:mrow>
<mml:mi>f</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>l</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula> should be close to 0, i.e., the opening of CRE under the false sample cannot significantly reduce carbon emissions. <xref ref-type="fig" rid="F2">Figure 2</xref> shows that the false coefficients <inline-formula id="inf84">
<mml:math id="m86">
<mml:mrow>
<mml:msup>
<mml:mi>&#x3b1;</mml:mi>
<mml:mrow>
<mml:mi>f</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>l</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula> are mainly distributed around the zero value with normal distribution, and the <italic>p</italic>-values are mainly greater than .1. Although the correct coefficient <inline-formula id="inf85">
<mml:math id="m87">
<mml:mrow>
<mml:mi>&#x3b1;</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> of the benchmark regression intersects with the <inline-formula id="inf86">
<mml:math id="m88">
<mml:mrow>
<mml:msup>
<mml:mi>&#x3b1;</mml:mi>
<mml:mrow>
<mml:mi>f</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>l</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula> distribution, the percentage of overlap is only .14%, which is consistent with the expected requirements of the placebo test. Therefore, the estimated results of the benchmark are robust and are not adversely affected by other unobservable factors.</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>Placebo test.</p>
</caption>
<graphic xlink:href="fenvs-10-1073208-g003.tif"/>
</fig>
</sec>
<sec id="s4-3-2">
<title>4.3.2 PSM-DID method</title>
<p>There is another prerequisite for the DID estimation method, which is that the selection of CRE opening cities needs to be random. To exclude the interference of sample selection problem, referring to <xref ref-type="bibr" rid="B19">Jia et al. (2021)</xref> and <xref ref-type="bibr" rid="B53">Yang et al. (2019)</xref>, we apply Propensity Score Matching (PSM) method to re-screen the control group and perform DID estimation on the matched samples. First, given that cities open CRE at different times, we use the year-by-year matching method, and use control variables in model (1) as matching characteristic covariates. We then use nearest neighbor matching method to construct control groups for CRE opening cities, and estimate it by using the Logit model and estimate the corresponding propensity scores.</p>
<p>To ensure the validity of the matching results, we perform a balance test. <xref ref-type="table" rid="T3">Table 3</xref> shows that each characteristic covariates is significantly different at the 1% level before matching, while there is no significant difference after matching. Therefore, it is reasonable to believe that the matched covariates are appropriate and the results of the nearest neighbor matching method are reliable.</p>
<table-wrap id="T3" position="float">
<label>TABLE 3</label>
<caption>
<p>The result of balance test.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th rowspan="2" align="left">
<inline-formula id="inf87">
<mml:math id="m89">
<mml:mrow>
<mml:mi>V</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>b</mml:mi>
<mml:mi>l</mml:mi>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
<th align="left">
<inline-formula id="inf88">
<mml:math id="m90">
<mml:mrow>
<mml:mi>U</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>m</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>c</mml:mi>
<mml:mi>h</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>d</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
<th colspan="2" align="center">
<inline-formula id="inf89">
<mml:math id="m91">
<mml:mrow>
<mml:mi>M</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>n</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
<th rowspan="2" align="center">
<inline-formula id="inf90">
<mml:math id="m92">
<mml:mrow>
<mml:mi>b</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>s</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mo>%</mml:mo>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
<th colspan="2" align="center">
<inline-formula id="inf91">
<mml:math id="m93">
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>t</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
</tr>
<tr>
<th align="left">
<inline-formula id="inf92">
<mml:math id="m94">
<mml:mrow>
<mml:mi>M</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>c</mml:mi>
<mml:mi>h</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>d</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
<th align="center">
<inline-formula id="inf93">
<mml:math id="m95">
<mml:mrow>
<mml:mi>T</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>d</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
<th align="center">
<inline-formula id="inf94">
<mml:math id="m96">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>l</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
<th align="center">
<inline-formula id="inf95">
<mml:math id="m97">
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi>v</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>l</mml:mi>
<mml:mi>u</mml:mi>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
<th align="center">
<inline-formula id="inf96">
<mml:math id="m98">
<mml:mrow>
<mml:mi>P</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi>v</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>l</mml:mi>
<mml:mi>u</mml:mi>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td rowspan="2" align="left">
<inline-formula id="inf97">
<mml:math id="m99">
<mml:mrow>
<mml:mi>E</mml:mi>
<mml:mi>C</mml:mi>
<mml:mi>D</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">U</td>
<td align="center">11.200</td>
<td align="center">10.164</td>
<td align="center">157.8</td>
<td align="center">18.680</td>
<td align="center">0.000</td>
</tr>
<tr>
<td align="left">M</td>
<td align="center">11.191</td>
<td align="center">11.133</td>
<td align="center">8.8</td>
<td align="center">1.290</td>
<td align="center">0.199</td>
</tr>
<tr>
<td rowspan="2" align="left">
<inline-formula id="inf98">
<mml:math id="m100">
<mml:mrow>
<mml:mi>P</mml:mi>
<mml:mi>P</mml:mi>
<mml:mi>D</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">U</td>
<td align="center">0.081</td>
<td align="center">0.044</td>
<td align="center">50.5</td>
<td align="center">10.990</td>
<td align="center">0.000</td>
</tr>
<tr>
<td align="left">M</td>
<td align="center">0.081</td>
<td align="center">0.082</td>
<td align="center">&#x2212;2.3</td>
<td align="center">-0.190</td>
<td align="center">0.853</td>
</tr>
<tr>
<td rowspan="2" align="left">
<inline-formula id="inf99">
<mml:math id="m101">
<mml:mrow>
<mml:mi>H</mml:mi>
<mml:mi>M</mml:mi>
<mml:mi>C</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">U</td>
<td align="center">0.099</td>
<td align="center">0.136</td>
<td align="center">&#x2212;68.3</td>
<td align="center">-9.060</td>
<td align="center">0.000</td>
</tr>
<tr>
<td align="left">M</td>
<td align="center">0.099</td>
<td align="center">0.106</td>
<td align="center">&#x2212;11.5</td>
<td align="center">&#x2212;1.360</td>
<td align="center">0.173</td>
</tr>
<tr>
<td rowspan="2" align="left">
<inline-formula id="inf100">
<mml:math id="m102">
<mml:mrow>
<mml:mi>E</mml:mi>
<mml:mi>G</mml:mi>
<mml:mi>C</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">U</td>
<td align="center">14.907</td>
<td align="center">12.896</td>
<td align="center">195.9</td>
<td align="center">23.300</td>
<td align="center">0.000</td>
</tr>
<tr>
<td align="left">M</td>
<td align="center">14.892</td>
<td align="center">14.864</td>
<td align="center">2.7</td>
<td align="center">0.390</td>
<td align="center">0.694</td>
</tr>
<tr>
<td rowspan="2" align="left">
<inline-formula id="inf101">
<mml:math id="m103">
<mml:mrow>
<mml:mi>E</mml:mi>
<mml:mi>M</mml:mi>
<mml:mi>R</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">U</td>
<td align="center">0.905</td>
<td align="center">0.655</td>
<td align="center">100.8</td>
<td align="center">10.820</td>
<td align="center">0.000</td>
</tr>
<tr>
<td align="left">M</td>
<td align="center">0.905</td>
<td align="center">0.914</td>
<td align="center">&#x2212;3.8</td>
<td align="center">&#x2212;1.350</td>
<td align="center">0.179</td>
</tr>
<tr>
<td rowspan="2" align="left">
<inline-formula id="inf102">
<mml:math id="m104">
<mml:mrow>
<mml:mi>F</mml:mi>
<mml:mi>D</mml:mi>
<mml:mi>I</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">U</td>
<td align="center">6.729</td>
<td align="center">5.464</td>
<td align="center">67.2</td>
<td align="center">9.610</td>
<td align="center">0.000</td>
</tr>
<tr>
<td align="left">M</td>
<td align="center">6.718</td>
<td align="center">6.532</td>
<td align="center">9.9</td>
<td align="center">0.970</td>
<td align="center">0.334</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>Finally, the results in column (1) of <xref ref-type="table" rid="T4">Table 4</xref> are obtained with the support of the PSM-DID method. The estimated coefficient of the matched <inline-formula id="inf103">
<mml:math id="m105">
<mml:mrow>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mi mathvariant="normal">R</mml:mi>
<mml:mi mathvariant="normal">E</mml:mi>
<mml:mo>&#xd7;</mml:mo>
<mml:mi mathvariant="normal">P</mml:mi>
<mml:mi mathvariant="normal">o</mml:mi>
<mml:mi mathvariant="normal">s</mml:mi>
<mml:mi mathvariant="normal">t</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> is still significantly negative (&#x2212;.0076) at the 1% statistical level, which is consistent with the baseline results. Therefore, after excluding the possible self-selection problem of the sample, the opening of CRE significantly reduces urban carbon emissions.</p>
<table-wrap id="T4" position="float">
<label>TABLE 4</label>
<caption>
<p>The result of robust test.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th rowspan="4" align="left"/>
<th align="left">(1)</th>
<th align="left">(2)</th>
<th align="left">(3)</th>
<th align="left">(4)</th>
<th align="left">(5)</th>
<th align="left">(6)</th>
</tr>
<tr>
<th align="left">
<inline-formula id="inf104">
<mml:math id="m106">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>O</mml:mi>
<mml:mi>E</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
<th align="left">
<inline-formula id="inf105">
<mml:math id="m107">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>O</mml:mi>
<mml:mi>E</mml:mi>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
<th align="left">
<inline-formula id="inf106">
<mml:math id="m108">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>O</mml:mi>
<mml:mi>E</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
<th align="left">
<inline-formula id="inf107">
<mml:math id="m109">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>O</mml:mi>
<mml:mi>E</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
<th align="left">
<inline-formula id="inf108">
<mml:math id="m110">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>R</mml:mi>
<mml:mi>E</mml:mi>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>P</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
<th align="left">
<inline-formula id="inf109">
<mml:math id="m111">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>O</mml:mi>
<mml:mi>E</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
</tr>
<tr>
<th rowspan="2" align="left">
<inline-formula id="inf110">
<mml:math id="m112">
<mml:mrow>
<mml:mi>P</mml:mi>
<mml:mi>S</mml:mi>
<mml:mi>M</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>-<inline-formula id="inf111">
<mml:math id="m113">
<mml:mrow>
<mml:mi>D</mml:mi>
<mml:mi>I</mml:mi>
<mml:mi>D</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
<th colspan="2" align="center">
<inline-formula id="inf112">
<mml:math id="m114">
<mml:mrow>
<mml:mi mathvariant="normal">R</mml:mi>
<mml:mi mathvariant="normal">e</mml:mi>
<mml:mi mathvariant="normal">p</mml:mi>
<mml:mi mathvariant="normal">l</mml:mi>
<mml:mi mathvariant="normal">a</mml:mi>
<mml:mi mathvariant="normal">c</mml:mi>
<mml:mi mathvariant="normal">e</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi mathvariant="normal">k</mml:mi>
<mml:mi mathvariant="normal">e</mml:mi>
<mml:mi mathvariant="normal">y</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi mathvariant="normal">v</mml:mi>
<mml:mi mathvariant="normal">a</mml:mi>
<mml:mi mathvariant="normal">r</mml:mi>
<mml:mi mathvariant="normal">i</mml:mi>
<mml:mi mathvariant="normal">a</mml:mi>
<mml:mi mathvariant="normal">b</mml:mi>
<mml:mi mathvariant="normal">l</mml:mi>
<mml:mi mathvariant="normal">e</mml:mi>
<mml:mi mathvariant="normal">s</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
<th rowspan="2" align="left">Exclude interference</th>
<th colspan="2" align="left">
<inline-formula id="inf113">
<mml:math id="m115">
<mml:mrow>
<mml:mi>I</mml:mi>
<mml:mi>V</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>-<inline-formula id="inf114">
<mml:math id="m116">
<mml:mrow>
<mml:mi>T</mml:mi>
<mml:mi>S</mml:mi>
<mml:mi>L</mml:mi>
<mml:mi>S</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
</tr>
<tr>
<th align="left">
<inline-formula id="inf115">
<mml:math id="m117">
<mml:mrow>
<mml:mi mathvariant="normal">E</mml:mi>
<mml:mi mathvariant="normal">x</mml:mi>
<mml:mi mathvariant="normal">p</mml:mi>
<mml:mi mathvariant="normal">l</mml:mi>
<mml:mi mathvariant="normal">a</mml:mi>
<mml:mi mathvariant="normal">i</mml:mi>
<mml:mi mathvariant="normal">n</mml:mi>
<mml:mi mathvariant="normal">e</mml:mi>
<mml:mi mathvariant="normal">d</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
<th align="left">
<inline-formula id="inf116">
<mml:math id="m118">
<mml:mrow>
<mml:mi mathvariant="normal">E</mml:mi>
<mml:mi mathvariant="normal">x</mml:mi>
<mml:mi mathvariant="normal">p</mml:mi>
<mml:mi mathvariant="normal">l</mml:mi>
<mml:mi mathvariant="normal">a</mml:mi>
<mml:mi mathvariant="normal">n</mml:mi>
<mml:mi mathvariant="normal">a</mml:mi>
<mml:mi mathvariant="normal">t</mml:mi>
<mml:mi mathvariant="normal">o</mml:mi>
<mml:mi mathvariant="normal">r</mml:mi>
<mml:mi mathvariant="normal">y</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
<th align="left">First stage</th>
<th align="left">Second stage</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td rowspan="2" align="left">
<inline-formula id="inf117">
<mml:math id="m119">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>R</mml:mi>
<mml:mi>E</mml:mi>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>P</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">&#x2212;0.0076&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;0.0483&#x2a;&#x2a;</td>
<td align="left"/>
<td align="left">&#x2212;0.0067&#x2a;&#x2a;&#x2a;</td>
<td align="left"/>
<td align="left">&#x2212;0.1360&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left">(0.0025)</td>
<td align="left">(0.0205)</td>
<td align="left"/>
<td align="left">(0.0024)</td>
<td align="left"/>
<td align="left">(0.0565)</td>
</tr>
<tr>
<td rowspan="2" align="left">
<inline-formula id="inf118">
<mml:math id="m120">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>R</mml:mi>
<mml:mi>E</mml:mi>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>P</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>t</mml:mi>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left"/>
<td align="left"/>
<td align="left">&#x2212;0.0067&#x2a;&#x2a;&#x2a;</td>
<td align="left"/>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left"/>
<td align="left"/>
<td align="left">(0.0026)</td>
<td align="left"/>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td rowspan="2" align="left">
<inline-formula id="inf119">
<mml:math id="m121">
<mml:mrow>
<mml:mi>E</mml:mi>
<mml:mi>C</mml:mi>
<mml:mi>D</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">0.040&#x2a;&#x2a;&#x2a;</td>
<td align="left">0.173&#x2a;&#x2a;&#x2a;</td>
<td align="left">0.040&#x2a;&#x2a;&#x2a;</td>
<td align="left">0.040&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;0.026</td>
<td align="left">0.035&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left">(0.006)</td>
<td align="left">(0.036)</td>
<td align="left">(0.006)</td>
<td align="left">(0.006)</td>
<td align="left">(0.032)</td>
<td align="left">(0.006)</td>
</tr>
<tr>
<td rowspan="2" align="left">
<inline-formula id="inf120">
<mml:math id="m122">
<mml:mrow>
<mml:mi>P</mml:mi>
<mml:mi>P</mml:mi>
<mml:mi>D</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">&#x2212;.232&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;1.452&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;.235&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;.227&#x2a;&#x2a;&#x2a;</td>
<td align="left">2.974&#x2a;&#x2a;&#x2a;</td>
<td align="left">.106</td>
</tr>
<tr>
<td align="left">(0.052)</td>
<td align="left">(0.452)</td>
<td align="left">(0.052)</td>
<td align="left">(0.052)</td>
<td align="left">(0.777)</td>
<td align="left">(0.195)</td>
</tr>
<tr>
<td rowspan="2" align="left">
<inline-formula id="inf121">
<mml:math id="m123">
<mml:mrow>
<mml:mi>H</mml:mi>
<mml:mi>M</mml:mi>
<mml:mi>C</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">&#x2212;.148&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;.641&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;.147&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;.162&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;.249</td>
<td align="left">&#x2212;.167&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left">(0.052)</td>
<td align="left">(0.190)</td>
<td align="left">(0.052)</td>
<td align="left">(0.051)</td>
<td align="left">(0.223)</td>
<td align="left">(0.057)</td>
</tr>
<tr>
<td rowspan="2" align="left">
<inline-formula id="inf122">
<mml:math id="m124">
<mml:mrow>
<mml:mi>E</mml:mi>
<mml:mi>G</mml:mi>
<mml:mi>C</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">0.007&#x2a;&#x2a;&#x2a;</td>
<td align="left">0.066&#x2a;&#x2a;&#x2a;</td>
<td align="left">0.007&#x2a;&#x2a;&#x2a;</td>
<td align="left">0.007&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;023</td>
<td align="left">0.004</td>
</tr>
<tr>
<td align="left">(0.002)</td>
<td align="left">(0.012)</td>
<td align="left">(0.002)</td>
<td align="left">(0.002)</td>
<td align="left">(0.015)</td>
<td align="left">(0.003)</td>
</tr>
<tr>
<td rowspan="2" align="left">
<inline-formula id="inf123">
<mml:math id="m125">
<mml:mrow>
<mml:mi>E</mml:mi>
<mml:mi>M</mml:mi>
<mml:mi>R</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">&#x2212;0.002</td>
<td align="left">0.025</td>
<td align="left">&#x2212;0.002</td>
<td align="left">&#x2212;0.001</td>
<td align="left">&#x2212;0.059&#x2a;&#x2a;</td>
<td align="left">&#x2212;0.010</td>
</tr>
<tr>
<td align="left">(0.006)</td>
<td align="left">(0.043)</td>
<td align="left">(0.006)</td>
<td align="left">(0.006)</td>
<td align="left">(0.029)</td>
<td align="left">(0.008)</td>
</tr>
<tr>
<td rowspan="2" align="left">
<inline-formula id="inf124">
<mml:math id="m126">
<mml:mrow>
<mml:mi>F</mml:mi>
<mml:mi>D</mml:mi>
<mml:mi>I</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">0.001</td>
<td align="left">&#x2212;0.001</td>
<td align="left">0.002</td>
<td align="left">0.001&#x2a;</td>
<td align="left">0.004</td>
<td align="left">0.002&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left">(0.001)</td>
<td align="left">(0.006)</td>
<td align="left">(0.0007)</td>
<td align="left">(0.0007)</td>
<td align="left">(0.004)</td>
<td align="left">(0.0009)</td>
</tr>
<tr>
<td rowspan="2" align="left">
<inline-formula id="inf125">
<mml:math id="m127">
<mml:mrow>
<mml:mi>F</mml:mi>
<mml:mi>C</mml:mi>
<mml:mi>P</mml:mi>
<mml:mi>P</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left">&#x2212;0.003</td>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left">(0.005)</td>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td rowspan="2" align="left">
<inline-formula id="inf126">
<mml:math id="m128">
<mml:mrow>
<mml:mi>E</mml:mi>
<mml:mi>T</mml:mi>
<mml:mi>P</mml:mi>
<mml:mi>P</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left">&#x2212;0.012&#x2a;&#x2a;&#x2a;</td>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left">(0.003)</td>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td rowspan="2" align="left">
<inline-formula id="inf127">
<mml:math id="m129">
<mml:mrow>
<mml:mi>L</mml:mi>
<mml:mi>C</mml:mi>
<mml:mi>C</mml:mi>
<mml:mi>P</mml:mi>
<mml:mi>P</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left">0.005</td>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left">(0.004)</td>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td rowspan="2" align="left">
<inline-formula id="inf128">
<mml:math id="m130">
<mml:mrow>
<mml:mi>H</mml:mi>
<mml:mi>S</mml:mi>
<mml:mi>R</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left">&#x2212;0.008&#x2a;&#x2a;&#x2a;</td>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left">(0.003)</td>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td rowspan="2" align="left">
<inline-formula id="inf129">
<mml:math id="m131">
<mml:mrow>
<mml:mi>I</mml:mi>
<mml:mi>V</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left">&#x2212;4.71e-06&#x2a;&#x2a;&#x2a;</td>
<td align="left"/>
</tr>
<tr>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left">(1.17e-06)</td>
<td align="left"/>
</tr>
<tr>
<td align="left">Endogeneity test</td>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left">8.480&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left">First stage F-value</td>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left">16.834</td>
</tr>
<tr>
<td align="left">Kleibergen-Paap rk LM statistic</td>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left">39.319</td>
</tr>
<tr>
<td align="left">Minimum Eigenvalue Statistics</td>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left">1.089&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td rowspan="2" align="left">
<inline-formula id="inf130">
<mml:math id="m132">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
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</inline-formula>
</td>
<td align="left">0.896&#x2a;&#x2a;&#x2a;</td>
<td align="left">0.550</td>
<td align="left">0.896&#x2a;&#x2a;&#x2a;</td>
<td align="left">0.907&#x2a;&#x2a;&#x2a;</td>
<td align="left"/>
<td align="left">1.089&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left">(0.059)</td>
<td align="left">(0.393)</td>
<td align="left">(0.0591)</td>
<td align="left">(0.0598)</td>
<td align="left"/>
<td align="left">(0.073)</td>
</tr>
<tr>
<td align="left">City FE</td>
<td align="left">YES</td>
<td align="left">YES</td>
<td align="left">YES</td>
<td align="left">YES</td>
<td align="left">YES</td>
<td align="left">YES</td>
</tr>
<tr>
<td align="left">Year FE</td>
<td align="left">YES</td>
<td align="left">YES</td>
<td align="left">YES</td>
<td align="left">YES</td>
<td align="left">YES</td>
<td align="left">YES</td>
</tr>
<tr>
<td align="left">Obs.</td>
<td align="left">4814</td>
<td align="left">4,828</td>
<td align="left">4,828</td>
<td align="left">4,828</td>
<td align="left">4,828</td>
<td align="left">4,828</td>
</tr>
<tr>
<td align="left">
<italic>R</italic>
<sup>2</sup>
</td>
<td align="left">0.957</td>
<td align="left">0.949</td>
<td align="left">0.957</td>
<td align="left">0.958</td>
<td align="left"/>
<td align="left">0.920</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>Notes: Standard errors clustered at city level are reported in parentheses, &#x2a;, &#x2a;&#x2a;, and &#x2a;&#x2a;&#x2a; represent significance levels of 10%, 5%, and 1%, respectively.</p>
</fn>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="s4-3-3">
<title>4.3.3 Replace key variables</title>
<p>In this section, we change the measures of carbon emissions and CRE opening variables, and re-estimate the empirical result. For the explanatory variables, drawing on <xref ref-type="bibr" rid="B38">Shan et al. (2020)</xref> and <xref ref-type="bibr" rid="B14">Guan et al. (2021)</xref>, we use urban carbon emission data published by the China Carbon Accounting Database (Carbon Emission Accounts and Datasets, CEADs) for the measurement. For the explanatory variables, we no longer distinguish the cut-off point of the opening time, June, but assign a value of 1 to the year of opening and thereafter, and 0 to the rest of the year. At this moment, we could obtain the new CRE opening variable (<inline-formula id="inf131">
<mml:math id="m133">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>R</mml:mi>
<mml:mi>E</mml:mi>
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<mml:mi>P</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>t</mml:mi>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula>). The results in columns (2)&#x2013;(3) of <xref ref-type="table" rid="T4">Table 4</xref> indicate that the coefficients of <inline-formula id="inf132">
<mml:math id="m134">
<mml:mrow>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mi mathvariant="normal">R</mml:mi>
<mml:mi mathvariant="normal">E</mml:mi>
<mml:mo>&#xd7;</mml:mo>
<mml:mi mathvariant="normal">P</mml:mi>
<mml:mi mathvariant="normal">o</mml:mi>
<mml:mi mathvariant="normal">s</mml:mi>
<mml:mi mathvariant="normal">t</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>; <inline-formula id="inf133">
<mml:math id="m135">
<mml:mrow>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mi mathvariant="normal">R</mml:mi>
<mml:mi mathvariant="normal">E</mml:mi>
<mml:mo>&#xd7;</mml:mo>
<mml:mi mathvariant="normal">P</mml:mi>
<mml:mi mathvariant="normal">o</mml:mi>
<mml:mi mathvariant="normal">s</mml:mi>
<mml:mi mathvariant="normal">t</mml:mi>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula> are both significantly negative at the 1% statistical level (&#x2212;.0483 and &#x2212;.0067). Therefore, the benchmark results still hold after replacing key variables.</p>
</sec>
<sec id="s4-3-4">
<title>4.3.4 Exclude the interference from other policies and HSR</title>
<p>Some pilot policies on carbon emissions and the opening of HSR may also affect the baseline results (<xref ref-type="bibr" rid="B19">Jia et al., 2021</xref>; <xref ref-type="bibr" rid="B44">Sun and Li, 2021</xref>). To avoid the interference of other policies and the opening of HSR, we collect some disturbing factors, such as the Fiscal Comprehensive Pilot Policy (FCPP) for energy conservation and emission reduction, Emissions Trading Pilot Policy (ETPP), Low Carbon City Pilot Policy (LCCPP), and the opening of HSR. Then, we include the above-mentioned confounding factors into model (1) for estimation, and the results are reported in column (4) of <xref ref-type="table" rid="T4">Table 4</xref>. At this point, we find that the coefficient of <inline-formula id="inf134">
<mml:math id="m136">
<mml:mrow>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mi mathvariant="normal">R</mml:mi>
<mml:mi mathvariant="normal">E</mml:mi>
<mml:mo>&#xd7;</mml:mo>
<mml:mi mathvariant="normal">P</mml:mi>
<mml:mi mathvariant="normal">o</mml:mi>
<mml:mi mathvariant="normal">s</mml:mi>
<mml:mi mathvariant="normal">t</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> is still significantly negative (-.0067) at the 1% statistical level. This indicates that the opening of CRE still has a significant carbon reduction effect after excluding the interference from other policy and HSR.</p>
</sec>
<sec id="s4-3-5">
<title>4.3.5 Overcome endogenous problems</title>
<p>The endogeneity problem in this paper arises mainly from the non-random nature of sample selection for the opening of CRE. To further overcome the potential endogeneity problem, we construct an instrument variable and use the method of Two-stage Least Squares (TSLS) to estimate. The corresponding results are reported in columns (5)&#x2013;(6) of <xref ref-type="table" rid="T4">Table 4</xref>.</p>
<p>Specifically, referring to <xref ref-type="bibr" rid="B20">Jiang et al. (2018)</xref>, we use the shortest geographic distance from each city to China&#x2019;s three major corridor ports (Alataw Pass, Erlianhaote and Manzhouli) of the CRE as the instrumental variable (IV). In order to realize the dynamic change of the instrumental variable, following <xref ref-type="bibr" rid="B62">Nunn and Qian (2014)</xref>, we use the product of the above shortest geographic distance and the national railroad freight volume in the previous year to construct a time-varying instrumental variable. Then, in terms of the rationality of IV, on the one hand, the above three continental border crossings are closely related to the ancient Silk Road and the CRE operation channel, and the closer the distance to the crossings, the more competitive the location characteristics and operation costs are<bold>.</bold> Then, those cities are more likely to open CRE, thus satisfying the correlation requirement. On the other hand, geographical distance is a typical natural factor, not affected by economic and social factors, and can only affect the carbon emission status by influencing the CRE opening status (such as transportation distance and time cost, <italic>etc.</italic>). Meanwhile, the rail freight volume at the national level in the previous year is independent of the carbon emission of each city in the current period, so the requirement of exogeneity is satisfied.</p>
<p>As shown in columns (5)&#x2013;(6) of <xref ref-type="table" rid="T4">Table 4</xref>, the first stage results show that the estimated coefficient of IV is significantly negative at the 1% statistical level, indicating that there is a significant negative correlation between IV and the opening of CRE, which is in line with theoretical expectations. The second stage results show that the endogeneity test results strongly reject the null hypothesis that <inline-formula id="inf135">
<mml:math id="m137">
<mml:mrow>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mi mathvariant="normal">R</mml:mi>
<mml:mi mathvariant="normal">E</mml:mi>
<mml:mo>&#xd7;</mml:mo>
<mml:mi mathvariant="normal">P</mml:mi>
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</inline-formula> is an exogenous variable at the 1% significance level. Thus necessitating the use of instrumental variables estimation to overcome the endogeneity problem. The Minimum Eigenvalue Statistics of <xref ref-type="bibr" rid="B43">Stock and Yogo (2002)</xref> is 39.319, which is much higher than the threshold value (16.38) at the 10% statistical level, and strongly rejects the null hypothesis of &#x201c;weak instrumental variable&#x201d;. Meanwhile, the first-stage F value of 16.35, which is greater than 10, indicating the absence of weak instrumental variables. The Kleibergen-Paap rk LM test strongly rejects the null hypothesis of &#x201c;unidentifiable instrumental variables&#x201d; at the 1% statistical level, indicating that the selected instrumental variables satisfy the requirement of correlation and there is no requirement of weak instrumental variables. At this point, the coefficient of <inline-formula id="inf136">
<mml:math id="m138">
<mml:mrow>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mi mathvariant="normal">R</mml:mi>
<mml:mi mathvariant="normal">E</mml:mi>
<mml:mo>&#xd7;</mml:mo>
<mml:mi mathvariant="normal">P</mml:mi>
<mml:mi mathvariant="normal">o</mml:mi>
<mml:mi mathvariant="normal">s</mml:mi>
<mml:mi mathvariant="normal">t</mml:mi>
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</inline-formula> is significantly negative at the 5% statistical level (-.1360), which is larger than the benchmark coefficient in column (5) of <xref ref-type="table" rid="T2">Table 2</xref> (-.0078). This may be due to the instrumental variables address the non-randomness of transportation infrastructure construction in real situations, and thus the coefficient of the potential transportation facility variable has increased (<xref ref-type="bibr" rid="B63">Duranton and Turner, 2012</xref>). Hence, after overcoming the endogeneity problem, CRE opening still significantly reduces carbon emissions, and thus we consider the baseline results robust.</p>
</sec>
</sec>
</sec>
<sec id="s5">
<title>5 Mechanism test and heterogeneity analysis</title>
<sec id="s5-1">
<title>5.1 Mechanism test</title>
<sec id="s5-1-1">
<title>5.1.1 Mediation effect model</title>
<p>In order to confirm the mechanism, referring to <xref ref-type="bibr" rid="B4">Baron and Kenny (1986)</xref>, we construct a three-step mediating effect model for mechanism testing. The model is as follows.<disp-formula id="e3">
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<mml:mo>&#x3d;</mml:mo>
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<mml:mo>&#x2b;</mml:mo>
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<mml:mi mathvariant="bold-italic">&#x3b2;</mml:mi>
<mml:mn mathvariant="bold">1</mml:mn>
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<mml:mi mathvariant="bold-italic">Z</mml:mi>
<mml:mrow>
<mml:mi mathvariant="bold-italic">i</mml:mi>
<mml:mi mathvariant="bold-italic">t</mml:mi>
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</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3b3;</mml:mi>
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<mml:mn>1</mml:mn>
<mml:mi>i</mml:mi>
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<mml:mo>&#x2b;</mml:mo>
<mml:msub>
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<label>(3)</label>
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<mml:mn>2</mml:mn>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
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<mml:mn>2</mml:mn>
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<mml:mrow>
<mml:mn>2</mml:mn>
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<mml:mo>&#x2b;</mml:mo>
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<mml:mi>&#x3b8;</mml:mi>
<mml:mrow>
<mml:mn>2</mml:mn>
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<label>(4)</label>
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<mml:mo>&#x2b;</mml:mo>
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<mml:mn mathvariant="bold">3</mml:mn>
</mml:msub>
<mml:msub>
<mml:mi mathvariant="bold-italic">Z</mml:mi>
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<mml:mrow>
<mml:mn>3</mml:mn>
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</mml:mrow>
</mml:msub>
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<mml:mrow>
<mml:mn>3</mml:mn>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
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<mml:mrow>
<mml:mn>3</mml:mn>
<mml:mi>i</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
<label>(5)</label>
</disp-formula>where <inline-formula id="inf137">
<mml:math id="m142">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">M</mml:mi>
<mml:mi mathvariant="normal">E</mml:mi>
<mml:mi mathvariant="normal">D</mml:mi>
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<mml:mrow>
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<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> represents the mediating variables, including transport substitution <inline-formula id="inf138">
<mml:math id="m143">
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>T</mml:mi>
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<mml:mi>S</mml:mi>
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</inline-formula>, industrial structure <inline-formula id="inf139">
<mml:math id="m144">
<mml:mrow>
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</mml:mrow>
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</inline-formula>, economic agglomeration <inline-formula id="inf140">
<mml:math id="m145">
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>E</mml:mi>
<mml:mi>C</mml:mi>
<mml:mi>A</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:math>
</inline-formula> and trade opening <inline-formula id="inf141">
<mml:math id="m146">
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>T</mml:mi>
<mml:mi>O</mml:mi>
<mml:mi>P</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:math>
</inline-formula>, and <inline-formula id="inf142">
<mml:math id="m147">
<mml:mrow>
<mml:mi>&#x3c0;</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> is the estimated coefficient of the corresponding mediating variable. <inline-formula id="inf143">
<mml:math id="m148">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b1;</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the total effect of the opening of CRE on carbon emissions, <inline-formula id="inf144">
<mml:math id="m149">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b1;</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the effect of the opening of CRE on mediating variables, and <inline-formula id="inf145">
<mml:math id="m150">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b1;</mml:mi>
<mml:mn>3</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the effect of the opening of CRE on carbon emissions after controlling the mediating variable <inline-formula id="inf146">
<mml:math id="m151">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">M</mml:mi>
<mml:mi mathvariant="normal">E</mml:mi>
<mml:mi mathvariant="normal">D</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>. If <inline-formula id="inf147">
<mml:math id="m152">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b1;</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, <inline-formula id="inf148">
<mml:math id="m153">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b1;</mml:mi>
<mml:mn>3</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula id="inf149">
<mml:math id="m154">
<mml:mrow>
<mml:mi>&#x3c0;</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> pass the significance test and <inline-formula id="inf150">
<mml:math id="m155">
<mml:mrow>
<mml:mfenced open="|" close="|" separators="|">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b1;</mml:mi>
<mml:mn>3</mml:mn>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:math>
</inline-formula> is smaller than <inline-formula id="inf151">
<mml:math id="m156">
<mml:mrow>
<mml:mfenced open="|" close="|" separators="|">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b1;</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:math>
</inline-formula>, then the mediating effect holds and the mediating variable plays a partially mediating role.</p>
</sec>
<sec id="s5-1-2">
<title>5.1.2 The results of mechanism test</title>
<p>Based on the models (3)&#x2013;(5), we report the results of the mechanism tests in <xref ref-type="table" rid="T5">Tables 5</xref>; <xref ref-type="table" rid="T6">Table 6</xref>, where column (1) is the baseline estimation result. For transport substitution <inline-formula id="inf152">
<mml:math id="m157">
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>T</mml:mi>
<mml:mi>P</mml:mi>
<mml:mi>S</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:math>
</inline-formula>, the coefficient of <inline-formula id="inf153">
<mml:math id="m158">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>R</mml:mi>
<mml:mi>E</mml:mi>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>P</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> in column (2) of table (5) is -.1170 and significant at the 10% level, indicating that the opening of CRE significantly reduces the volume of non-rail freight, i.e., reduce the volume of domestic road, waterway and air freight. The coefficient of <inline-formula id="inf154">
<mml:math id="m159">
<mml:mrow>
<mml:mi>T</mml:mi>
<mml:mi>P</mml:mi>
<mml:mi>S</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> in column (3) is significantly positive (.0075) at the significant level of 1%, indicating that the increase in non-rail freight traffic significantly increases carbon emissions. Meanwhile, the coefficient of <inline-formula id="inf155">
<mml:math id="m160">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>R</mml:mi>
<mml:mi>E</mml:mi>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>P</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> is significantly negative at 1% level (&#x2212;.0076) and the absolute impact is smaller than the baseline coefficient of column (1) (&#x2212;.0078). Thus, the transport substitution plays a partially intermediary role, with the opening of CRE replacing non-rail freight traffic to reduce carbon emissions. As one of the railroad transportation ways with cost advantages and low-carbon green advantages, the opening of China CRE provides a new channel for urban cargo transportation and cross-border transactions, replacing traditional non-low-carbon transportation type of transportation (such as road transportation), which helps achieve the goal of carbon emission reduction.</p>
<table-wrap id="T5" position="float">
<label>TABLE 5</label>
<caption>
<p>The result of mechanism analysis: transportation substitution and industrial structure.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th rowspan="3" align="left"/>
<th align="left">(1)</th>
<th align="left">(2)</th>
<th align="left">(3)</th>
<th align="left">(4)</th>
<th align="left">(5)</th>
</tr>
<tr>
<th align="left">
<inline-formula id="inf156">
<mml:math id="m161">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>O</mml:mi>
<mml:mi>E</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
<th align="left">
<inline-formula id="inf157">
<mml:math id="m162">
<mml:mrow>
<mml:mi>T</mml:mi>
<mml:mi>P</mml:mi>
<mml:mi>S</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
<th align="left">
<inline-formula id="inf158">
<mml:math id="m163">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>O</mml:mi>
<mml:mi>E</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
<th align="left">
<inline-formula id="inf159">
<mml:math id="m164">
<mml:mrow>
<mml:mi>I</mml:mi>
<mml:mi>D</mml:mi>
<mml:mi>S</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
<th align="left">
<inline-formula id="inf160">
<mml:math id="m165">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>O</mml:mi>
<mml:mi>E</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
</tr>
<tr>
<th align="left">
<inline-formula id="inf161">
<mml:math id="m166">
<mml:mrow>
<mml:mi mathvariant="normal">b</mml:mi>
<mml:mi mathvariant="normal">e</mml:mi>
<mml:mi mathvariant="normal">n</mml:mi>
<mml:mi mathvariant="normal">c</mml:mi>
<mml:mi mathvariant="normal">h</mml:mi>
<mml:mi mathvariant="normal">m</mml:mi>
<mml:mi mathvariant="normal">a</mml:mi>
<mml:mi mathvariant="normal">r</mml:mi>
<mml:mi mathvariant="normal">k</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
<th colspan="2" align="left">
<inline-formula id="inf162">
<mml:math id="m167">
<mml:mrow>
<mml:mi mathvariant="normal">t</mml:mi>
<mml:mi mathvariant="normal">r</mml:mi>
<mml:mi mathvariant="normal">a</mml:mi>
<mml:mi mathvariant="normal">n</mml:mi>
<mml:mi mathvariant="normal">s</mml:mi>
<mml:mi mathvariant="normal">p</mml:mi>
<mml:mi mathvariant="normal">o</mml:mi>
<mml:mi mathvariant="normal">r</mml:mi>
<mml:mi mathvariant="normal">t</mml:mi>
<mml:mi mathvariant="normal">a</mml:mi>
<mml:mi mathvariant="normal">t</mml:mi>
<mml:mi mathvariant="normal">i</mml:mi>
<mml:mi mathvariant="normal">o</mml:mi>
<mml:mi mathvariant="normal">n</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi mathvariant="normal">s</mml:mi>
<mml:mi mathvariant="normal">u</mml:mi>
<mml:mi mathvariant="normal">b</mml:mi>
<mml:mi mathvariant="normal">s</mml:mi>
<mml:mi mathvariant="normal">t</mml:mi>
<mml:mi mathvariant="normal">i</mml:mi>
<mml:mi mathvariant="normal">t</mml:mi>
<mml:mi mathvariant="normal">u</mml:mi>
<mml:mi mathvariant="normal">t</mml:mi>
<mml:mi mathvariant="normal">i</mml:mi>
<mml:mi mathvariant="normal">o</mml:mi>
<mml:mi mathvariant="normal">n</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
<th colspan="2" align="left">
<inline-formula id="inf163">
<mml:math id="m168">
<mml:mrow>
<mml:mi mathvariant="normal">i</mml:mi>
<mml:mi mathvariant="normal">n</mml:mi>
<mml:mi mathvariant="normal">d</mml:mi>
<mml:mi mathvariant="normal">u</mml:mi>
<mml:mi mathvariant="normal">s</mml:mi>
<mml:mi mathvariant="normal">t</mml:mi>
<mml:mi mathvariant="normal">r</mml:mi>
<mml:mi mathvariant="normal">i</mml:mi>
<mml:mi mathvariant="normal">a</mml:mi>
<mml:mi mathvariant="normal">l</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi mathvariant="normal">s</mml:mi>
<mml:mi mathvariant="normal">t</mml:mi>
<mml:mi mathvariant="normal">r</mml:mi>
<mml:mi mathvariant="normal">u</mml:mi>
<mml:mi mathvariant="normal">c</mml:mi>
<mml:mi mathvariant="normal">t</mml:mi>
<mml:mi mathvariant="normal">u</mml:mi>
<mml:mi mathvariant="normal">r</mml:mi>
<mml:mi mathvariant="normal">e</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td rowspan="2" align="left">
<inline-formula id="inf164">
<mml:math id="m169">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>R</mml:mi>
<mml:mi>E</mml:mi>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>P</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">&#x2212;0.0078&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;0.1170&#x2a;</td>
<td align="left">&#x2212;0.0076&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;0.0054&#x2a;</td>
<td align="left">&#x2212;0.0074&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left">(0.0025)</td>
<td align="left">(0.061)</td>
<td align="left">(0.002)</td>
<td align="left">(0.003)</td>
<td align="left">(0.0025)</td>
</tr>
<tr>
<td rowspan="2" align="left">
<inline-formula id="inf165">
<mml:math id="m170">
<mml:mrow>
<mml:mi>T</mml:mi>
<mml:mi>P</mml:mi>
<mml:mi>S</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left"/>
<td align="left"/>
<td align="left">0.0075&#x2a;&#x2a;&#x2a;</td>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left"/>
<td align="left"/>
<td align="left">(0.002)</td>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td rowspan="2" align="left">
<inline-formula id="inf166">
<mml:math id="m171">
<mml:mrow>
<mml:mi>I</mml:mi>
<mml:mi>D</mml:mi>
<mml:mi>S</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left">0.0780&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left">(0.027)</td>
</tr>
<tr>
<td rowspan="2" align="left">
<inline-formula id="inf167">
<mml:math id="m172">
<mml:mrow>
<mml:mi>E</mml:mi>
<mml:mi>C</mml:mi>
<mml:mi>D</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">0.040&#x2a;&#x2a;&#x2a;</td>
<td align="left">0.514&#x2a;&#x2a;&#x2a;</td>
<td align="left">0.036&#x2a;&#x2a;&#x2a;</td>
<td align="left">0.148&#x2a;&#x2a;&#x2a;</td>
<td align="left">0.028&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left">(0.006)</td>
<td align="left">(0.087)</td>
<td align="left">(0.006)</td>
<td align="left">(0.007)</td>
<td align="left">(0.007)</td>
</tr>
<tr>
<td rowspan="2" align="left">
<inline-formula id="inf168">
<mml:math id="m173">
<mml:mrow>
<mml:mi>P</mml:mi>
<mml:mi>P</mml:mi>
<mml:mi>D</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">&#x2212;0.233&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;3.593&#x2a;</td>
<td align="left">&#x2212;0.208&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;0.259&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;0.213&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left">(0.053)</td>
<td align="left">(1.970)</td>
<td align="left">(0.047)</td>
<td align="left">(.078)</td>
<td align="left">(0.052)</td>
</tr>
<tr>
<td rowspan="2" align="left">
<inline-formula id="inf169">
<mml:math id="m174">
<mml:mrow>
<mml:mi>H</mml:mi>
<mml:mi>M</mml:mi>
<mml:mi>C</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">&#x2212;0.148&#x2a;&#x2a;&#x2a;</td>
<td align="left">0.010</td>
<td align="left">&#x2212;0.148&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;0.277&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;0.127&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left">(0.052)</td>
<td align="left">(0.631)</td>
<td align="left">(0.052)</td>
<td align="left">(.034)</td>
<td align="left">(.049)</td>
</tr>
<tr>
<td rowspan="2" align="left">
<inline-formula id="inf170">
<mml:math id="m175">
<mml:mrow>
<mml:mi>E</mml:mi>
<mml:mi>G</mml:mi>
<mml:mi>C</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">0.007&#x2a;&#x2a;&#x2a;</td>
<td align="left">0.058&#x2a;&#x2a;</td>
<td align="left">0.007&#x2a;&#x2a;&#x2a;</td>
<td align="left">0.003&#x2a;</td>
<td align="left">0.007&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left">(0.002)</td>
<td align="left">(0.028)</td>
<td align="left">(0.002)</td>
<td align="left">(0.002)</td>
<td align="left">(0.002)</td>
</tr>
<tr>
<td rowspan="2" align="left">
<inline-formula id="inf171">
<mml:math id="m176">
<mml:mrow>
<mml:mi>E</mml:mi>
<mml:mi>M</mml:mi>
<mml:mi>R</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">&#x2212;0.002</td>
<td align="left">&#x2212;0.044</td>
<td align="left">&#x2212;0.001</td>
<td align="left">&#x2212;0.003</td>
<td align="left">&#x2212;0.001</td>
</tr>
<tr>
<td align="left">(0.006)</td>
<td align="left">(0.097)</td>
<td align="left">(0.006)</td>
<td align="left">(0.006)</td>
<td align="left">(0.005)</td>
</tr>
<tr>
<td rowspan="2" align="left">
<inline-formula id="inf172">
<mml:math id="m177">
<mml:mrow>
<mml:mi>F</mml:mi>
<mml:mi>D</mml:mi>
<mml:mi>I</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">0.001</td>
<td align="left">0.009</td>
<td align="left">0.001</td>
<td align="left">&#x2212;.001&#x2a;</td>
<td align="left">0.001&#x2a;</td>
</tr>
<tr>
<td align="left">(0.001)</td>
<td align="left">(0.010)</td>
<td align="left">(0.001)</td>
<td align="left">(0.0007)</td>
<td align="left">(0.0007)</td>
</tr>
<tr>
<td rowspan="2" align="left">
<inline-formula id="inf173">
<mml:math id="m178">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">0.897&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;2.911&#x2a;&#x2a;&#x2a;</td>
<td align="left">0.918&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;1.019&#x2a;&#x2a;&#x2a;</td>
<td align="left">.976&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left">(0.059)</td>
<td align="left">(.949)</td>
<td align="left">(.0577)</td>
<td align="left">(.076)</td>
<td align="left">(.062)</td>
</tr>
<tr>
<td align="left">City FE</td>
<td align="left">YES</td>
<td align="left">YES</td>
<td align="left">YES</td>
<td align="left">YES</td>
<td align="left">YES</td>
</tr>
<tr>
<td align="left">Year FE</td>
<td align="left">YES</td>
<td align="left">YES</td>
<td align="left">YES</td>
<td align="left">YES</td>
<td align="left">YES</td>
</tr>
<tr>
<td align="left">Obs.</td>
<td align="left">4,828</td>
<td align="left">4,828</td>
<td align="left">4,828</td>
<td align="left">4,828</td>
<td align="left">4,828</td>
</tr>
<tr>
<td align="left">
<italic>R</italic>
<sup>2</sup>
</td>
<td align="left">0.957</td>
<td align="left">0.769</td>
<td align="left">0.957</td>
<td align="left">0.888</td>
<td align="left">0.957</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>Notes: Standard errors clustered at city level are reported in parentheses, &#x2a;, &#x2a;&#x2a;, and &#x2a;&#x2a;&#x2a; represent significance levels of 10%, 5%, and 1%, respectively.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<table-wrap id="T6" position="float">
<label>TABLE 6</label>
<caption>
<p>The result of mechanism analysis: economic agglomeration and trade opening.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th rowspan="3" align="left"/>
<th align="left">(1)</th>
<th align="left">(2)</th>
<th align="left">(3)</th>
<th align="left">(4)</th>
<th align="left">(5)</th>
</tr>
<tr>
<th align="left">
<inline-formula id="inf174">
<mml:math id="m179">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>O</mml:mi>
<mml:mi>E</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
<th align="left">
<inline-formula id="inf175">
<mml:math id="m180">
<mml:mrow>
<mml:mi>E</mml:mi>
<mml:mi>C</mml:mi>
<mml:mi>A</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
<th align="left">
<inline-formula id="inf176">
<mml:math id="m181">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>O</mml:mi>
<mml:mi>E</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
<th align="left">
<inline-formula id="inf177">
<mml:math id="m182">
<mml:mrow>
<mml:mi>T</mml:mi>
<mml:mi>O</mml:mi>
<mml:mi>P</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
<th align="left">
<inline-formula id="inf178">
<mml:math id="m183">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>O</mml:mi>
<mml:mi>E</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
</tr>
<tr>
<th align="left">
<inline-formula id="inf179">
<mml:math id="m184">
<mml:mrow>
<mml:mi mathvariant="normal">b</mml:mi>
<mml:mi mathvariant="normal">e</mml:mi>
<mml:mi mathvariant="normal">n</mml:mi>
<mml:mi mathvariant="normal">c</mml:mi>
<mml:mi mathvariant="normal">h</mml:mi>
<mml:mi mathvariant="normal">m</mml:mi>
<mml:mi mathvariant="normal">a</mml:mi>
<mml:mi mathvariant="normal">r</mml:mi>
<mml:mi mathvariant="normal">k</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
<th colspan="2" align="left">
<inline-formula id="inf180">
<mml:math id="m185">
<mml:mrow>
<mml:mi mathvariant="normal">e</mml:mi>
<mml:mi mathvariant="normal">c</mml:mi>
<mml:mi mathvariant="normal">o</mml:mi>
<mml:mi mathvariant="normal">n</mml:mi>
<mml:mi mathvariant="normal">o</mml:mi>
<mml:mi mathvariant="normal">m</mml:mi>
<mml:mi mathvariant="normal">i</mml:mi>
<mml:mi mathvariant="normal">c</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi mathvariant="normal">a</mml:mi>
<mml:mi mathvariant="normal">g</mml:mi>
<mml:mi mathvariant="normal">g</mml:mi>
<mml:mi mathvariant="normal">l</mml:mi>
<mml:mi mathvariant="normal">o</mml:mi>
<mml:mi mathvariant="normal">m</mml:mi>
<mml:mi mathvariant="normal">e</mml:mi>
<mml:mi mathvariant="normal">r</mml:mi>
<mml:mi mathvariant="normal">a</mml:mi>
<mml:mi mathvariant="normal">t</mml:mi>
<mml:mi mathvariant="normal">i</mml:mi>
<mml:mi mathvariant="normal">o</mml:mi>
<mml:mi mathvariant="normal">n</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
<th colspan="2" align="left">
<inline-formula id="inf181">
<mml:math id="m186">
<mml:mrow>
<mml:mi mathvariant="normal">t</mml:mi>
<mml:mi mathvariant="normal">r</mml:mi>
<mml:mi mathvariant="normal">a</mml:mi>
<mml:mi mathvariant="normal">d</mml:mi>
<mml:mi mathvariant="normal">e</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi mathvariant="normal">o</mml:mi>
<mml:mi mathvariant="normal">p</mml:mi>
<mml:mi mathvariant="normal">e</mml:mi>
<mml:mi mathvariant="normal">n</mml:mi>
<mml:mi mathvariant="normal">i</mml:mi>
<mml:mi mathvariant="normal">n</mml:mi>
<mml:mi mathvariant="normal">g</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td rowspan="2" align="left">
<inline-formula id="inf182">
<mml:math id="m187">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>R</mml:mi>
<mml:mi>E</mml:mi>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>P</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">&#x2212;0.0078&#x2a;&#x2a;&#x2a;</td>
<td align="left">0.0220&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;0.0066&#x2a;&#x2a;&#x2a;</td>
<td align="left">0.1250&#x2a;</td>
<td align="left">&#x2212;0.0076&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left">(0.0025)</td>
<td align="left">(0.0060)</td>
<td align="left">(0.0025)</td>
<td align="left">(0.0735)</td>
<td align="left">(0.0025)</td>
</tr>
<tr>
<td rowspan="2" align="left">
<inline-formula id="inf183">
<mml:math id="m188">
<mml:mrow>
<mml:mi>E</mml:mi>
<mml:mi>C</mml:mi>
<mml:mi>A</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left"/>
<td align="left"/>
<td align="left">&#x2212;0.0553&#x2a;&#x2a;&#x2a;</td>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left"/>
<td align="left"/>
<td align="left">(0.0153)</td>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td rowspan="2" align="left">
<inline-formula id="inf184">
<mml:math id="m189">
<mml:mrow>
<mml:mi>T</mml:mi>
<mml:mi>O</mml:mi>
<mml:mi>P</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left">&#x2212;0.0019&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left">(0.0007)</td>
</tr>
<tr>
<td rowspan="2" align="left">
<inline-formula id="inf185">
<mml:math id="m190">
<mml:mrow>
<mml:mi>E</mml:mi>
<mml:mi>C</mml:mi>
<mml:mi>D</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">0.040&#x2a;&#x2a;&#x2a;</td>
<td align="left">0.010&#x2a;&#x2a;&#x2a;</td>
<td align="left">0.040&#x2a;&#x2a;&#x2a;</td>
<td align="left">0.724&#x2a;&#x2a;&#x2a;</td>
<td align="left">0.0040&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left">(0.006)</td>
<td align="left">(0.004)</td>
<td align="left">(0.006)</td>
<td align="left">(0.172)</td>
<td align="left">(0.006)</td>
</tr>
<tr>
<td rowspan="2" align="left">
<inline-formula id="inf186">
<mml:math id="m191">
<mml:mrow>
<mml:mi>P</mml:mi>
<mml:mi>P</mml:mi>
<mml:mi>D</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">&#x2212;02.233&#x2a;&#x2a;&#x2a;</td>
<td align="left">4.517&#x2a;&#x2a;&#x2a;</td>
<td align="left">0.016</td>
<td align="left">3.135&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;0.234&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left">(0.053)</td>
<td align="left">(0.253)</td>
<td align="left">(0.077)</td>
<td align="left">(0.984)</td>
<td align="left">(0.052)</td>
</tr>
<tr>
<td rowspan="2" align="left">
<inline-formula id="inf187">
<mml:math id="m192">
<mml:mrow>
<mml:mi>H</mml:mi>
<mml:mi>M</mml:mi>
<mml:mi>C</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">&#x2212;0.148&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;0.403&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;0.170&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;1.729</td>
<td align="left">&#x2212;.148&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left">(0.052)</td>
<td align="left">(0.035)</td>
<td align="left">(0.054)</td>
<td align="left">(1.069)</td>
<td align="left">(0.052)</td>
</tr>
<tr>
<td rowspan="2" align="left">
<inline-formula id="inf188">
<mml:math id="m193">
<mml:mrow>
<mml:mi>E</mml:mi>
<mml:mi>G</mml:mi>
<mml:mi>C</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">0.007&#x2a;&#x2a;&#x2a;</td>
<td align="left">-0.004&#x2a;&#x2a;&#x2a;</td>
<td align="left">0.007&#x2a;&#x2a;&#x2a;</td>
<td align="left">0.027</td>
<td align="left">0.007&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left">(0.002)</td>
<td align="left">(0.001)</td>
<td align="left">(0.002)</td>
<td align="left">(0.056)</td>
<td align="left">(0.002)</td>
</tr>
<tr>
<td rowspan="2" align="left">
<inline-formula id="inf189">
<mml:math id="m194">
<mml:mrow>
<mml:mi>E</mml:mi>
<mml:mi>M</mml:mi>
<mml:mi>R</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">&#x2212;0.002</td>
<td align="left">&#x2212;0.003</td>
<td align="left">&#x2212;0.002</td>
<td align="left">0.078</td>
<td align="left">&#x2212;0.001</td>
</tr>
<tr>
<td align="left">(0.006)</td>
<td align="left">(0.005)</td>
<td align="left">(0.006)</td>
<td align="left">(0.200)</td>
<td align="left">(0.006)</td>
</tr>
<tr>
<td rowspan="2" align="left">
<inline-formula id="inf190">
<mml:math id="m195">
<mml:mrow>
<mml:mi>F</mml:mi>
<mml:mi>D</mml:mi>
<mml:mi>I</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">0.001</td>
<td align="left">&#x2212;0.0001</td>
<td align="left">0.001</td>
<td align="left">0.001</td>
<td align="left">.001</td>
</tr>
<tr>
<td align="left">(0.0007)</td>
<td align="left">(0.0003)</td>
<td align="left">(0.0007)</td>
<td align="left">(0.030)</td>
<td align="left">(.0007)</td>
</tr>
<tr>
<td rowspan="2" align="left">
<inline-formula id="inf191">
<mml:math id="m196">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">0.897&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;0.144&#x2a;&#x2a;&#x2a;</td>
<td align="left">0.889&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;8.635&#x2a;&#x2a;&#x2a;</td>
<td align="left">0.891&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left">(0.059)</td>
<td align="left">(0.044)</td>
<td align="left">(0.0596)</td>
<td align="left">(1.896)</td>
<td align="left">(0.058)</td>
</tr>
<tr>
<td align="left">City FE</td>
<td align="left">YES</td>
<td align="left">YES</td>
<td align="left">YES</td>
<td align="left">YES</td>
<td align="left">YES</td>
</tr>
<tr>
<td align="left">Year FE</td>
<td align="left">YES</td>
<td align="left">YES</td>
<td align="left">YES</td>
<td align="left">YES</td>
<td align="left">YES</td>
</tr>
<tr>
<td align="left">Obs.</td>
<td align="left">4,828</td>
<td align="left">4,828</td>
<td align="left">4,828</td>
<td align="left">4,828</td>
<td align="left">4,828</td>
</tr>
<tr>
<td align="left">
<italic>R</italic>
<sup>2</sup>
</td>
<td align="left">0.957</td>
<td align="left">0.939</td>
<td align="left">0.957</td>
<td align="left">0.657</td>
<td align="left">0.957</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>Notes: Standard errors clustered at city level are reported in parentheses, &#x2a;, &#x2a;&#x2a;, and &#x2a;&#x2a;&#x2a; represent significance levels of 10%, 5%, and 1%, respectively.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>For industrial structure <inline-formula id="inf192">
<mml:math id="m197">
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>I</mml:mi>
<mml:mi>D</mml:mi>
<mml:mi>S</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:math>
</inline-formula>, as shown in column (4) of <xref ref-type="table" rid="T5">Table 5</xref>, the coefficient of <inline-formula id="inf193">
<mml:math id="m198">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>R</mml:mi>
<mml:mi>E</mml:mi>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>P</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> is significantly negative (-.0054) at the 10% statistical level, indicating that the opening of CRE significantly reduces the share of output in the secondary industry, which leads to the upgrading of the industrial structure. Meanwhile, the coefficient of <inline-formula id="inf194">
<mml:math id="m199">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>R</mml:mi>
<mml:mi>E</mml:mi>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>P</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> is significantly negative at 1% level (&#x2212;.0074) and the absolute impact is smaller than the baseline coefficient of column (1) (&#x2212;.0078). Therefore, we believe that industrial structure plays a partly intermediary role, and the opening of CRE reduces urban carbon emissions by promoting industrial structure upgrading. In fact, the normal operation of CRE promotes the rapid development of urban transportation, wholesale and retail, business services and other service industries. This can accelerate the upgrading of service industrial structure, which can transform the traditional industrial structure with high energy consumption and pollution, and ultimately reduce carbon emissions.</p>
<p>For economic agglomeration <inline-formula id="inf195">
<mml:math id="m200">
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>E</mml:mi>
<mml:mi>C</mml:mi>
<mml:mi>A</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:math>
</inline-formula>, the coefficient of <inline-formula id="inf196">
<mml:math id="m201">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>R</mml:mi>
<mml:mi>E</mml:mi>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>P</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> in column (2) of <xref ref-type="table" rid="T6">Table 6</xref> is significantly positive (.022) at the 1% level, indicating that the opening of CRE significantly increases the level of urban economic agglomeration. Column (3) shows that the coefficient of ECA is significantly negative (&#x2212;.0553) at the 1% level, indicating that urban economic agglomeration significantly reduces carbon emissions. Also, the coefficient of <inline-formula id="inf197">
<mml:math id="m202">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>R</mml:mi>
<mml:mi>E</mml:mi>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>P</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> is significantly negative (&#x2212;.0066) at 1% statistical level and the absolute impact is smaller than the coefficient of column (1) (&#x2212;.0078). Therefore, the partial mediating effect of economic agglomeration holds, which means that CRE opening reduces urban carbon emissions by promoting economic agglomeration. Relying on the ever-improving railroad network, the opening of CRE changes the spatial layout of urban economy and production factors. This can create increasingly significant positive externalities and economies of scale, which is conducive to achieving green technology spillover effects and prompting enterprises to improve their ability of energy saving and emission reduction performance.</p>
<p>For trade opening <inline-formula id="inf198">
<mml:math id="m203">
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>T</mml:mi>
<mml:mi>O</mml:mi>
<mml:mi>P</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:math>
</inline-formula>, column (4) of <xref ref-type="table" rid="T6">Table 6</xref> shows that the coefficient of <inline-formula id="inf199">
<mml:math id="m204">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>R</mml:mi>
<mml:mi>E</mml:mi>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>P</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> is significantly positive (.1250) at the 10% level, indicating that the opening of CRE significantly promotes the degree of trade openness of the city. The coefficient of TOP in column (5) is significantly negative (&#x2212;.0019) at 1% level, indicating that the increase in openness of import can effectively reduce carbon emissions. Moreover, the coefficient of <inline-formula id="inf200">
<mml:math id="m205">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>R</mml:mi>
<mml:mi>E</mml:mi>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>P</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> is significantly negative at 1% statistical level (&#x2212;.0076) and the absolute impact is smaller than the coefficient of column (1) (&#x2212;.0078). Thus, the opening of CRE increases urban carbon emissions by increasing the degree of trade opening. There is no doubt that the opening of CRE provides a new platform for the growth of China&#x2019;s foreign trade and accelerates the increase in the level of trade opening. Compared to export openness, increasing import opening reduces domestic energy and resource consumption. At the same time, the import also brings spillover of foreign knowledge and technology, prompting domestic enterprises to transform technology and improve production efficiency to achieve low-carbon and clean production.</p>
<p>In summary, we find that the opening of CRE reduces urban carbon emissions through four mechanisms: exerting the transportation substitution effect, promoting industrial structure upgrading, strengthening economic agglomeration, and promoting trade opening. Therefore, the estimation results of the mediating effects model validate the second theoretical hypothesis of this paper.</p>
</sec>
</sec>
<sec id="s5-2">
<title>5.2 Heterogeneity analysis</title>
<sec id="s5-2-1">
<title>5.2.3 Regional heterogeneity</title>
<p>Referring to <xref ref-type="bibr" rid="B44">Sun and Li (2021)</xref>, we divide the provinces where the sample cities are located into three major regions, and then construct three location dummy variables for whether the cities are in the eastern region <inline-formula id="inf201">
<mml:math id="m206">
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>E</mml:mi>
<mml:mi>R</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:math>
</inline-formula>, the central region <inline-formula id="inf202">
<mml:math id="m207">
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>R</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:math>
</inline-formula>, and the western region <inline-formula id="inf203">
<mml:math id="m208">
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>W</mml:mi>
<mml:mi>R</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:math>
</inline-formula>. Then, we construct three interaction terms <inline-formula id="inf204">
<mml:math id="m209">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>R</mml:mi>
<mml:mi>E</mml:mi>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>P</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>t</mml:mi>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>E</mml:mi>
<mml:mi>R</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>, <inline-formula id="inf205">
<mml:math id="m210">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>R</mml:mi>
<mml:mi>E</mml:mi>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>P</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>t</mml:mi>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>C</mml:mi>
<mml:mi>R</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>, and <inline-formula id="inf206">
<mml:math id="m211">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>R</mml:mi>
<mml:mi>E</mml:mi>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>P</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>t</mml:mi>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>W</mml:mi>
<mml:mi>R</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>, and take them into the benchmark model (1) for estimation, respectively, and the empirical results are reported in columns (1)&#x2013;(3) of <xref ref-type="table" rid="T7">Table 7</xref>. It can be seen that the coefficient of <inline-formula id="inf207">
<mml:math id="m212">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>R</mml:mi>
<mml:mi>E</mml:mi>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>P</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>t</mml:mi>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>E</mml:mi>
<mml:mi>R</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> is significantly negative (&#x2212;.005) at the 5% level, the coefficient of <inline-formula id="inf208">
<mml:math id="m213">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>R</mml:mi>
<mml:mi>E</mml:mi>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>P</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>t</mml:mi>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>C</mml:mi>
<mml:mi>R</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> is significantly negative (&#x2212;.005) at the 10% level, while the coefficient of <inline-formula id="inf209">
<mml:math id="m214">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>R</mml:mi>
<mml:mi>E</mml:mi>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>P</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>t</mml:mi>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>W</mml:mi>
<mml:mi>R</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> does not significant. Hence, the opening of CRE significantly reduces carbon emissions in eastern and central cities, but cannot effectively reduce carbon emissions in western cities. This may be due to the relatively strict environmental regulations in the central and eastern cities compared to the western cities, and the greater number of cities opened by the CRE, which produce more significant carbon emission reduction effects through transportation substitution effect, industrial structure upgrading effect, economic agglomeration effect and trade opening effect.</p>
<table-wrap id="T7" position="float">
<label>TABLE 7</label>
<caption>
<p>The result of heterogeneity analysis.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th rowspan="3" align="left"/>
<th align="left">(1)</th>
<th align="left">(2)</th>
<th align="left">(3)</th>
<th align="left">(4)</th>
<th align="left">(5)</th>
</tr>
<tr>
<th align="left">
<inline-formula id="inf210">
<mml:math id="m215">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>O</mml:mi>
<mml:mi>E</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
<th align="left">
<inline-formula id="inf211">
<mml:math id="m216">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>O</mml:mi>
<mml:mi>E</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
<th align="left">
<inline-formula id="inf212">
<mml:math id="m217">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>O</mml:mi>
<mml:mi>E</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
<th align="left">
<inline-formula id="inf213">
<mml:math id="m218">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>O</mml:mi>
<mml:mi>E</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
<th align="left">
<inline-formula id="inf214">
<mml:math id="m219">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>O</mml:mi>
<mml:mi>E</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
</tr>
<tr>
<th colspan="3" align="left">
<inline-formula id="inf215">
<mml:math id="m220">
<mml:mrow>
<mml:mi mathvariant="normal">r</mml:mi>
<mml:mi mathvariant="normal">e</mml:mi>
<mml:mi mathvariant="normal">g</mml:mi>
<mml:mi mathvariant="normal">i</mml:mi>
<mml:mi mathvariant="normal">o</mml:mi>
<mml:mi mathvariant="normal">n</mml:mi>
<mml:mi mathvariant="normal">a</mml:mi>
<mml:mi mathvariant="normal">l</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
<th align="left">
<inline-formula id="inf216">
<mml:math id="m221">
<mml:mrow>
<mml:mi mathvariant="normal">s</mml:mi>
<mml:mi mathvariant="normal">c</mml:mi>
<mml:mi mathvariant="normal">a</mml:mi>
<mml:mi mathvariant="normal">l</mml:mi>
<mml:mi mathvariant="normal">e</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
<th align="left">
<inline-formula id="inf217">
<mml:math id="m222">
<mml:mrow>
<mml:mi mathvariant="normal">r</mml:mi>
<mml:mi mathvariant="normal">e</mml:mi>
<mml:mi mathvariant="normal">s</mml:mi>
<mml:mi mathvariant="normal">o</mml:mi>
<mml:mi mathvariant="normal">u</mml:mi>
<mml:mi mathvariant="normal">r</mml:mi>
<mml:mi mathvariant="normal">c</mml:mi>
<mml:mi mathvariant="normal">e</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td rowspan="2" align="left">
<inline-formula id="inf218">
<mml:math id="m223">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>R</mml:mi>
<mml:mi>E</mml:mi>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>P</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">&#x2212;0.006&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;0.006&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;0.006&#x2a;</td>
<td align="left">0.0004</td>
<td align="left">&#x2212;0.009&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left">(0.002)</td>
<td align="left">(0.002)</td>
<td align="left">(0.003)</td>
<td align="left">(0.003)</td>
<td align="left">(0.002)</td>
</tr>
<tr>
<td rowspan="2" align="left">
<inline-formula id="inf219">
<mml:math id="m224">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>R</mml:mi>
<mml:mi>E</mml:mi>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>P</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>t</mml:mi>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>E</mml:mi>
<mml:mi>R</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">&#x2212;0.005&#x2a;&#x2a;</td>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left">(0.002)</td>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td rowspan="2" align="left">
<inline-formula id="inf220">
<mml:math id="m225">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>R</mml:mi>
<mml:mi>E</mml:mi>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>P</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>t</mml:mi>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>C</mml:mi>
<mml:mi>R</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left"/>
<td align="left">&#x2212;0.005&#x2a;</td>
<td align="left"/>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left"/>
<td align="left">(0.003)</td>
<td align="left"/>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td rowspan="2" align="left">
<inline-formula id="inf221">
<mml:math id="m226">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>R</mml:mi>
<mml:mi>E</mml:mi>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>P</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>t</mml:mi>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>W</mml:mi>
<mml:mi>R</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left"/>
<td align="left"/>
<td align="left">&#x2212;0.011</td>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left"/>
<td align="left"/>
<td align="left">(0.007)</td>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td rowspan="2" align="left">
<inline-formula id="inf222">
<mml:math id="m227">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>R</mml:mi>
<mml:mi>E</mml:mi>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>P</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>t</mml:mi>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>C</mml:mi>
<mml:mi>C</mml:mi>
<mml:mi>L</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left">&#x2212;0.015&#x2a;&#x2a;&#x2a;</td>
<td align="left"/>
</tr>
<tr>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left">(0.004)</td>
<td align="left"/>
</tr>
<tr>
<td rowspan="2" align="left">
<inline-formula id="inf223">
<mml:math id="m228">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>R</mml:mi>
<mml:mi>E</mml:mi>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>P</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>t</mml:mi>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>R</mml:mi>
<mml:mi>B</mml:mi>
<mml:mi>C</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left">0.007&#x2a;</td>
</tr>
<tr>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left">(0.004)</td>
</tr>
<tr>
<td rowspan="2" align="left">
<inline-formula id="inf224">
<mml:math id="m229">
<mml:mrow>
<mml:mi>E</mml:mi>
<mml:mi>C</mml:mi>
<mml:mi>D</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">0.040&#x2a;&#x2a;&#x2a;</td>
<td align="left">0.040&#x2a;&#x2a;&#x2a;</td>
<td align="left">0.025&#x2a;&#x2a;&#x2a;</td>
<td align="left">0.041&#x2a;&#x2a;&#x2a;</td>
<td align="left">0.040&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left">(0.003)</td>
<td align="left">(0.003)</td>
<td align="left">(0.006)</td>
<td align="left">(0.006)</td>
<td align="left">(0.003)</td>
</tr>
<tr>
<td rowspan="2" align="left">
<inline-formula id="inf225">
<mml:math id="m230">
<mml:mrow>
<mml:mi>P</mml:mi>
<mml:mi>P</mml:mi>
<mml:mi>D</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">&#x2212;0.228&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;0.235&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;0.276&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;0.207&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;0.228&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left">(0.027)</td>
<td align="left">(0.028)</td>
<td align="left">(0.052)</td>
<td align="left">(0.053)</td>
<td align="left">(0.028)</td>
</tr>
<tr>
<td rowspan="2" align="left">
<inline-formula id="inf226">
<mml:math id="m231">
<mml:mrow>
<mml:mi>H</mml:mi>
<mml:mi>M</mml:mi>
<mml:mi>C</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">&#x2212;0.149&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;0.148&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;0.121&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;0.150&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;0.149&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left">(0.021)</td>
<td align="left">(0.021)</td>
<td align="left">(0.042)</td>
<td align="left">(0.052)</td>
<td align="left">(0.021)</td>
</tr>
<tr>
<td rowspan="2" align="left">
<inline-formula id="inf227">
<mml:math id="m232">
<mml:mrow>
<mml:mi>E</mml:mi>
<mml:mi>G</mml:mi>
<mml:mi>C</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">0.007&#x2a;&#x2a;&#x2a;</td>
<td align="left">0.007&#x2a;&#x2a;&#x2a;</td>
<td align="left">0.006&#x2a;&#x2a;&#x2a;</td>
<td align="left">0.007&#x2a;&#x2a;&#x2a;</td>
<td align="left">0.007&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left">(0.001)</td>
<td align="left">(0.001)</td>
<td align="left">(0.001)</td>
<td align="left">(0.002)</td>
<td align="left">(0.001)</td>
</tr>
<tr>
<td rowspan="2" align="left">
<inline-formula id="inf228">
<mml:math id="m233">
<mml:mrow>
<mml:mi>E</mml:mi>
<mml:mi>M</mml:mi>
<mml:mi>R</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">&#x2212;0.002</td>
<td align="left">&#x2212;0.002</td>
<td align="left">&#x2212;0.003</td>
<td align="left">&#x2212;0.002</td>
<td align="left">&#x2212;0.002</td>
</tr>
<tr>
<td align="left">(0.004)</td>
<td align="left">(0.004)</td>
<td align="left">(0.005)</td>
<td align="left">(0.006)</td>
<td align="left">(0.004)</td>
</tr>
<tr>
<td rowspan="2" align="left">
<inline-formula id="inf229">
<mml:math id="m234">
<mml:mrow>
<mml:mi>F</mml:mi>
<mml:mi>D</mml:mi>
<mml:mi>I</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">0.001&#x2a;&#x2a;</td>
<td align="left">0.001&#x2a;&#x2a;</td>
<td align="left">0.003&#x2a;&#x2a;&#x2a;</td>
<td align="left">0.001</td>
<td align="left">0.001&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left">(0.0005)</td>
<td align="left">(0.0005)</td>
<td align="left">(0.0008)</td>
<td align="left">(0.0007)</td>
<td align="left">(0.0005)</td>
</tr>
<tr>
<td rowspan="2" align="left">
<inline-formula id="inf230">
<mml:math id="m235">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">0.900&#x2a;&#x2a;&#x2a;</td>
<td align="left">0.895&#x2a;&#x2a;&#x2a;</td>
<td align="left">1.051&#x2a;&#x2a;&#x2a;</td>
<td align="left">0.894&#x2a;&#x2a;&#x2a;</td>
<td align="left">0.894&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left">(0.031)</td>
<td align="left">(0.031)</td>
<td align="left">(0.066)</td>
<td align="left">(0.060)</td>
<td align="left">(0.031)</td>
</tr>
<tr>
<td align="left">City FE</td>
<td align="left">YES</td>
<td align="left">YES</td>
<td align="left">YES</td>
<td align="left">YES</td>
<td align="left">YES</td>
</tr>
<tr>
<td align="left">Year FE</td>
<td align="left">YES</td>
<td align="left">YES</td>
<td align="left">YES</td>
<td align="left">YES</td>
<td align="left">YES</td>
</tr>
<tr>
<td align="left">Obs.</td>
<td align="left">4,828</td>
<td align="left">4,828</td>
<td align="left">4,828</td>
<td align="left">4,828</td>
<td align="left">4,828</td>
</tr>
<tr>
<td align="left">
<italic>R</italic>
<sup>2</sup>
</td>
<td align="left">0.957</td>
<td align="left">0.957</td>
<td align="left">0.957</td>
<td align="left">0.957</td>
<td align="left">0.957</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>Notes: Standard errors clustered at city level are reported in parentheses, &#x2a;, &#x2a;&#x2a;, and &#x2a;&#x2a;&#x2a; represent significance levels of 10%, 5%, and 1%, respectively.</p>
</fn>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="s5-2-2">
<title>5.2.4 Scale heterogeneity</title>
<p>Based on the 2019 China City Level, we construct the China city level <inline-formula id="inf231">
<mml:math id="m236">
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>C</mml:mi>
<mml:mi>L</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:math>
</inline-formula> as a dummy variable, which takes the value of 1 when the city belongs to Tier 1, New Tier 1 and Tier 2 cities, and 0 when it belongs to Tier 3, Tier 4 and Tier 5 cities. Then, we include an interaction term of CRE opening and <inline-formula id="inf232">
<mml:math id="m237">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>C</mml:mi>
<mml:mi>L</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> in the benchmark model (1) for estimation, and the empirical results are reported in column (5) of <xref ref-type="table" rid="T7">Table 7</xref>. The <inline-formula id="inf233">
<mml:math id="m238">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>R</mml:mi>
<mml:mi>E</mml:mi>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>P</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>t</mml:mi>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>C</mml:mi>
<mml:mi>C</mml:mi>
<mml:mi>L</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> coefficient is significantly negative (-.015) at the 10% level, indicating that the opening of the CRE effectively reduces carbon emissions in larger cities. Generally speaking, larger cities have stronger economic agglomeration effects, industrial structure upgrading effects and technological innovation advantages, which are conducive to optimizing resource allocation to alleviate congestion and achieve energy saving and emission reduction (<xref ref-type="bibr" rid="B53">Yang et al., 2019</xref>; <xref ref-type="bibr" rid="B19">Jia et al., 2021</xref>). By now, compared to smaller cities, the opening of the CRE is effective in reducing carbon emissions through the advantages of larger cities in terms of agglomeration, structure and innovation. Another point to note is that although larger cities usually have more obvious agglomeration effects, they also face more traffic congestion and environmental pollution problems. With the effect of transportation substitution and economic agglomeration, the opening of CRE can effectively optimize the agglomeration effect and alleviate the congestion effect. And CRE can optimize resource allocation and accelerate technology spillover, thus achieving energy saving and emission reduction. Therefore, the opening of CRE can be more conducive to curbing carbon emissions in larger cities.</p>
</sec>
<sec id="s5-2-3">
<title>5.2.3 Resource endowment heterogeneity</title>
<p>Based on the <italic>National List of Resource-based Cities</italic> published by the State Council of China, we construct the resource-based cities <inline-formula id="inf234">
<mml:math id="m239">
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>R</mml:mi>
<mml:mi>B</mml:mi>
<mml:mi>C</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:math>
</inline-formula> as dummy variable, we take 1 when the city is a resource-based city and 0 otherwise. Next, we include the interaction terms <inline-formula id="inf235">
<mml:math id="m240">
<mml:mrow>
<mml:mi>R</mml:mi>
<mml:mi>E</mml:mi>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>P</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>t</mml:mi>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>R</mml:mi>
<mml:mi>B</mml:mi>
<mml:mi>C</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> in the benchmark model (1) for estimation, and the empirical results are reported in column (5) of <xref ref-type="table" rid="T7">Table 7</xref>. The <inline-formula id="inf236">
<mml:math id="m241">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>R</mml:mi>
<mml:mi>E</mml:mi>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>P</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>t</mml:mi>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>R</mml:mi>
<mml:mi>B</mml:mi>
<mml:mi>C</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> coefficient is significantly positive (.007) at the 10% level, indicating that the opening of the CRE significantly contributes to carbon emissions in resource-based cities, so it effectively suppresses carbon emissions in non-resource-based cities. Resource-based cities often rely heavily on resource development and heavy industrial processes, which lead to higher CO<sub>2</sub> emissions and thus face the serious &#x201c;carbon curse&#x201d; (<xref ref-type="bibr" rid="B12">Friedrichs and Inderwildi, 2013</xref>). Therefore, compared with non-resource-based cities, resource-based cities are mainly dominated by traditional and resource-driven heavy industries, while the development of modern service industries is relatively lagging behind, resulting in the opening of CRE cannot reduce carbon emissions by industrial upgrading.</p>
</sec>
</sec>
</sec>
<sec id="s6">
<title>6 Conclusion and discussion</title>
<p>In order to verify the carbon emission effect and mechanism of CRE opening, we conduct a systematic theoretical analysis and empirical study. Based on panel data of 284 cities at the prefecture level and above in China from 2003 to 2019, we empirically examine the impact and mechanisms of CRE opening on carbon emissions by the multi-period DID model and the mediating effect model. To ensure the robustness and richness of the empirical results, a series of robustness tests and heterogeneity discussions are conducted. The main findings are as follows.</p>
<p>First, under the premise of satisfying parallel trends, the opening of CRE significantly reduces urban carbon emissions by .78 percentage when compared to the control group. This finding holds after placebo test, PSM-DID estimation, replacing key variables, excluding the interference from other policy and HSR, and overcoming endogeneity issues. Second, the results of the mediating effect model indicate that CRE opening reduces urban carbon emissions through four channels: transportation substitution effect, industrial structure upgrading, economic agglomeration effect and promoting trade opening. Third, the carbon emission effect of CRE opening has typical heterogeneous characteristics. The opening of CRE significantly suppresses carbon emissions of cities in east-central China, larger scale and non-resource-based cities, but the effect on carbon emissions of western cities is not significant.</p>
<p>Combined with the empirical results of this paper, we discuss the policy from the following three aspects. First, Chinese government should pay attention to the positive role of CRE in environmental protection. Government should take into account the cities&#x2019; own location, economic and resource advantages, reasonably lay out the CRE network. Also, government should focus on promoting the opening of CRE in western, small cities and resource-based cities, so as to fully release the carbon emission reduction effect. We find that the opening of CRE can significantly reduce the carbon emission, especially in east-central China, larger scale and non-resource-based cities. Then, Chinese government should accelerate the construction of integrated transportation infrastructure such as roads, railroads, waterways and airways. Government should promote the upgrading of industrial structure and adhere to a high level of economic opening policy to achieve an effective and balanced economic agglomeration, so as to effectively curb the growth of carbon emissions. We find that transportation substitution, industrial structure upgrading, trade opening and economic agglomeration are important transmission mechanisms for the opening of CRE to achieve carbon emission reduction. Finally, the government should also rationalize the layout of economic activities and population clusters, promote human capital accumulation, setting reasonable environmental regulations, and adhere to the development strategy of implementing energy conservation and emission reduction. We also find that economic development and energy consumption significantly increase carbon emissions, while population density, human capital and environmental regulations help to reduce carbon emissions.</p>
<p>As a typical transportation infrastructure, CRE is a cross-border land transportation led by the Chinese government and is a new mechanism for international cargo transport cooperation on the established railroad network (<xref ref-type="bibr" rid="B61">Zhou and Zhang, 2021</xref>). Meanwhile, the 2021 CRE Development Report points out that CRE has become a major approach for China to participate in global economic cooperation, build the &#x201c;Belt and Road&#x201d; initiative and promote the building of a human community with a shared future. The Chinese government will strive to reach Carbon Peaking by 2030 and Carbon Neutrality by 2060. According to the Eurasian Railway Alliance Index (ERAI), CRE has much lower CO<sub>2</sub> emissions than other types of transportation. CRE is one of the most environment-friendly types of freight transport. Therefore, while meeting the needs of economic cooperation between China and the Asian and European countries, the Chinese government always adheres to the concept of green, low-carbon, recycling and sustainable development, and accelerates the low-carbon and green development of the operation of CRE. Undoubtedly, the results of this study directly reveal that the operation of CRE in Chinese cities can effectively reduce carbon emissions, further enriching the research on the relationship between transportation and carbon emissions. We provide Chinese experience for the realization of low-carbon green economic development for the majority of developing countries.</p>
<p>Finally, this study still has certain shortcomings and still needs further in-depth study. Later studies can also combine spatial econometrics and use spatial DID models to empirically test the spatial spillover effects of CRE opening on carbon emissions. In addition, we only consider the impact of CRE opening on carbon emissions in domestic cities, without considering its impact on carbon emissions or environmental quality in the pathway countries. Therefore, subsequent studies can also further explore the impact and mechanism of CRE opening on the environmental quality of the route countries from a cross-country perspective, and compare the differences in the impact of CRE opening on the environmental quality of China and the route countries.</p>
</sec>
</body>
<back>
<sec sec-type="data-availability" id="s7">
<title>Data availability statement</title>
<p>The original contributions presented in the study are included in the article/Supplementary Material, further inquiries can be directed to the corresponding author.</p>
</sec>
<sec id="s8">
<title>Author contributions</title>
<p>ZQ: Conceptualization, Methodology, Resources, Formal Analysis, Writing (Original Draft), Funding Acquisition; DL: Conceptualization, Writing (Original Draft), Writing (Review and Editing); QL: Investigation, Supervision, Writing (Review and Editing), Funding Acquisition. All authors read and approved the manuscript.</p>
</sec>
<sec id="s9">
<title>Funding</title>
<p>This work was supported by the Postgraduate Innovation Fund Project of Shanghai University of Finance and Economics under Grant (CXJJ-2020-306) and National Social Science Foundation of China (Grant No. 21BGL182).</p>
</sec>
<sec sec-type="COI-statement" id="s10">
<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="s11">
<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>
<fn-group>
<fn id="fn1">
<label>1</label>
<p>
<ext-link ext-link-type="uri" xlink:href="https://www.ndrc.gov.cn/fzggw/jgsj/kfs/sjdt/">https://www.ndrc.gov.cn/fzggw/jgsj/kfs/sjdt/</ext-link>202208/P020220818311703111697.pdf.</p>
</fn>
<fn id="fn2">
<label>2</label>
<p>
<ext-link ext-link-type="uri" xlink:href="http://www.china-railway.com.cn/zyyw/hwys/">http://www.china-railway.com.cn/zyyw/hwys/</ext-link>.</p>
</fn>
<fn id="fn3">
<label>3</label>
<p>
<ext-link ext-link-type="uri" xlink:href="https://www.crct.com/index.php?m=content&amp;c=index&amp;a=lists&amp;catid=22#gjly">https://www.crct.com/index.php?m&#x3d;content&#x26;c&#x3d;index&#x26;a&#x3d;lists&#x26;catid&#x3d;22&#x23;gjly</ext-link>.</p>
</fn>
<fn id="fn4">
<label>4</label>
<p>China Railway Container Corporation website: <ext-link ext-link-type="uri" xlink:href="https://www.yidaiyilu.gov.cn/yw/qwfb/4802.html">https://www.yidaiyilu.gov.cn/yw/qwfb/4802.html</ext-link>.</p>
</fn>
<fn id="fn5">
<label>5</label>
<p>
<ext-link ext-link-type="uri" xlink:href="https://data.cnki.net/Yearbook/Single/N2022040095">https://data.cnki.net/Yearbook/Single/N2022040095</ext-link>.</p>
</fn>
</fn-group>
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