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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Environ. Sci.</journal-id>
<journal-title>Frontiers in Environmental Science</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Environ. Sci.</abbrev-journal-title>
<issn pub-type="epub">2296-665X</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="publisher-id">1113383</article-id>
<article-id pub-id-type="doi">10.3389/fenvs.2022.1113383</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>Is environmental tax legislation effective for pollution abatement in emerging economies? Evidence from China</article-title>
<alt-title alt-title-type="left-running-head">Tang and Yang</alt-title>
<alt-title alt-title-type="right-running-head">
<ext-link ext-link-type="uri" xlink:href="https://doi.org/10.3389/fenvs.2022.1113383">10.3389/fenvs.2022.1113383</ext-link>
</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Tang</surname>
<given-names>Wenliang</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Yang</surname>
<given-names>Xue</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<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/2122479/overview"/>
</contrib>
</contrib-group>
<aff id="aff1">
<sup>1</sup>
<institution>Economics and Management School</institution>, <institution>Wuhan University</institution>, <addr-line>Wuhan</addr-line>, <country>China</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>School of Finance and Public Administration</institution>, <institution>Hubei University of Economics</institution>, <addr-line>Wuhan</addr-line>, <country>China</country>
</aff>
<aff id="aff3">
<sup>3</sup>
<institution>Center for Local Taxation Research of Hubei Province</institution>, <institution>Hubei University of Economics</institution>, <addr-line>Wuhan</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/368329/overview">Rita Yi Man Li</ext-link>, Hong Kong Shue Yan University, Hong Kong, SAR China</p>
</fn>
<fn fn-type="edited-by">
<p>
<bold>Reviewed by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1022179/overview">Elkhan Richard Sadik-Zada</ext-link>, Ruhr University Bochum, Germany</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1735498/overview">Elchin Suleymanov</ext-link>, Baku Enginering University, Azerbaijan</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Xue Yang, <email>474373759@qq.com</email>
</corresp>
<fn fn-type="other">
<p>This article was submitted to Environmental Economics and Management, a section of the journal Frontiers in Environmental Science</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>06</day>
<month>01</month>
<year>2023</year>
</pub-date>
<pub-date pub-type="collection">
<year>2022</year>
</pub-date>
<volume>10</volume>
<elocation-id>1113383</elocation-id>
<history>
<date date-type="received">
<day>01</day>
<month>12</month>
<year>2022</year>
</date>
<date date-type="accepted">
<day>23</day>
<month>12</month>
<year>2022</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2023 Tang and Yang.</copyright-statement>
<copyright-year>2023</copyright-year>
<copyright-holder>Tang and Yang</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/">
<p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</p>
</license>
</permissions>
<abstract>
<p>This study estimates the effect of environmental tax legislation on air pollution, using the implementation of China&#x2019;s Environmental Protection Tax Law (EPTL) as a quasi-natural experiment. For cities which have been authorized to raise tax rates by the EPTL, the air quality index (AQI) is 2.36 lower after the reform. The effect is reinforced in cities with stricter tax enforcement, lower fiscal stress, as well as higher initial pollution levels. Heterogeneity analyses show that the reform is more effective in cities with lower levels of marketization and legalization, as well as in developed cities. In addition, the impact of the reform is more significant in cities with higher levels of public participation in environmental governance, higher tax competition levels, and higher share of secondary industry. A series of robustness tests corroborates the results. This paper provides evidence that environmental tax legislation is efficacious in pollution abatement for developing economies.</p>
</abstract>
<kwd-group>
<kwd>environmental tax</kwd>
<kwd>environmental regulation</kwd>
<kwd>air pollution</kwd>
<kwd>pollution abatement</kwd>
<kwd>emerging economies</kwd>
</kwd-group>
</article-meta>
</front>
<body>
<sec id="s1">
<title>1 Introduction</title>
<p>Air pollution menaces residents&#x2019; survival in multiple ways, including cardiovascular and respiratory diseases, losses in labor productivity, food security, and is even responsible for shortened lives (e.g., <xref ref-type="bibr" rid="B73">Seaton et al., 1995</xref>; <xref ref-type="bibr" rid="B22">Chen et al., 2013</xref>; <xref ref-type="bibr" rid="B76">Tai et al., 2014</xref>; <xref ref-type="bibr" rid="B44">Guan et al., 2016</xref>; <xref ref-type="bibr" rid="B19">Chang et al., 2019</xref>; <xref ref-type="bibr" rid="B74">Sinha and Kumar, 2019</xref>). If environmental tax legislation is efficacious in ameliorating air quality in developing economies, the countries would be able to enhance residents&#x2019; wellbeing using the laws. However, whether and to what extent environmental tax legislation is feasible in improving urban air quality for developing economies remains largely underexplored.</p>
<p>China provides a compelling setting to investigate the effectiveness of environmental taxes in developing economies. China&#x2019; rapid economic growth is accompanied by a variety of environmental issues. More than 300 large and medium-sized cities across China (approximately 70 percent) do not meet air quality standards set by the World Health Organization (<xref ref-type="bibr" rid="B60">Liao and Shi, 2018</xref>). In the last 4&#xa0;decades, however, there has been no legislation for environmental taxes in China. The implementation of the Environmental Protection Tax Law (EPTL) in China thus provides a suitable opportunity for investigation.</p>
<p>The environmental tax reform affects air pollutant emissions in two ways. First, environmental taxes can incentivize firms to apply cleaner technologies and engage more in technological innovation, and further reduce pollutant emissions (<xref ref-type="bibr" rid="B35">Ekins, et al., 2011</xref>; <xref ref-type="bibr" rid="B3">Aghion et al., 2016</xref>; <xref ref-type="bibr" rid="B55">Leslie, 2018</xref>; <xref ref-type="bibr" rid="B23">Chen and Ma, 2021</xref>; <xref ref-type="bibr" rid="B25">Cheng et al., 2022</xref>). Second, environmental taxes can lead to increased costs for emissions, and contribute to lower output levels and fewer emissions. Air quality can thus be improved (<xref ref-type="bibr" rid="B40">Gray and Shadbegian, 2003</xref>; <xref ref-type="bibr" rid="B64">Pal and Saha, 2015</xref>).</p>
<p>We use the environmental tax reform, namely, the implementation of the EPTL in China as a quasi-natural experiment and use detailed data on prefecture-level cities over 2015-2021 to test the impact of the EPTL on air pollution. On 1 January 2018, the EPTL was officially implemented in China. From then on, emission charges are replaced by environmental taxes. Prior to the implementation of the EPTL, China applied the emission charging system for the discharge of pollutants. After the reform, charges on emissions were raised in 14 provinces, and remained unchanged for other provinces.</p>
<p>To test whether the implementation of the EPTL can help reduce air pollution, we obtain data on air pollution from the Ministry of Ecology and Environment of China (MEE), and investigate the effectiveness of the reform. Considering that air pollution is affected by meteorological factors, we also control for a series of weather variables. Weather data is obtained from the National Oceanic and Atmospheric Administration (NOAA). We match data on air pollution and weather at the prefecture-level cities, and obtain 826,916 observations for 336 cities over 2015-2021. In addition to weather variables, we also include city and date fixed effects in the model.</p>
<p>We find that the reform can reduce air pollution in regions with higher tax rates than emission charges. We further find that tax enforcement can vary the relationship between environmental taxes and air pollution. The implementation of the EPTL can improve air quality more significantly in cities with stricter tax enforcement. However, the reform is less effective in cities with greater fiscal stress and lower initial air pollution levels. In addition, the effect is more significant in regions with higher economic development, less tax competition, weaker environmental regulation, lower levels of marketization, higher levels of public participation, and a higher proportion of secondary industries.</p>
<p>This paper is instructive in the following ways. First, this paper provides experiences for policymakers regarding improving environmental quality in developing economies. This paper validates the effectiveness of the environmental tax reform on air pollution in China, and shows that similar laws can be enforced in countries beset by pollution, and further help them reduce the multiple negative effects of air pollution. In developing countries, pollution levels are often several times higher than that of developed ones, and have already been one of the major threats to residents&#x2019; health (<xref ref-type="bibr" rid="B41">Greenstone and Hanna, 2014</xref>; <xref ref-type="bibr" rid="B33">Ebenstein et al., 2015</xref>). Referring to China&#x2019;s successful experience with the environmental tax reform, developing countries can implement similar policies to reduce the impediment of environmental degradation to economic development.</p>
<p>Second, this paper contributes to literature on the effect of environmental taxes on emission reduction. A number of factors can vary the effect of environmental taxes, ignoring such factors can be disadvantageous for maximizing policy effectiveness. Therefore, this paper explores the heterogeneous effect of environmental taxes, and discovers factors that vary the effect of this policy. Future policy implementation can refer to the results, and determine which cities are the priority targets.</p>
<p>Third, this paper is informative to pollution governance in China. Local governments are authorized to raise tax rates in accordance with the EPTL, and 14 provinces have raised the tax rates according to local circumstances. The results in this paper show that air pollution levels become lower after the reform in these provinces. Higher tax rates have therefore improved the local environment. Other provinces, especially those with serious air pollution, may adjust the tax rates accordingly.</p>
</sec>
<sec id="s2">
<title>2 Background, literature and hypothesis</title>
<sec id="s2-1">
<title>2.1 Institutional background</title>
<p>China&#x2019;s economic development has brought about a number of environmental issues, and the Chinese government has been trying to cope with environmental pollution through multiple policy tools. In 1979, the central government of China implemented the Environmental Protection Law, and a pilot system for emission charging was also proposed in some places to control the emission of industrial pollutants. In 1982, the central government further implemented the Tentative Provisions on Pollution Charge, and clarified the standards and methods for the collection of emission charges. However, the policy did not achieve the expected targets of emission reduction due to the low standard of emission charges. Along with the continuous development of industry, increased pollution issues emerged. China&#x2019;s pollution problems have therefore not been effectively addressed (<xref ref-type="bibr" rid="B50">Jiang et al., 2014</xref>). After that, in 2003, the central government published the Administrative Regulations on Levy and Use of Emission Discharge Fee, as a further step to reduce pollution levels across the country.</p>
<p>Emission charges have always been a means for the Chinese government in emission reduction (<xref ref-type="bibr" rid="B79">Wang and Jin, 2007</xref>). However, the effect of emission charges on environmental improvement is weak because of lenient enforcement (<xref ref-type="bibr" rid="B50">Jiang et al., 2014</xref>; <xref ref-type="bibr" rid="B62">Maung et al., 2016</xref>). In order to solve the increasingly serious environmental problems, the Chinese government implemented the Environmental Protection Tax Law in 2018, which involves taxes on air pollutants, water pollutants, solid wastes and industrial noise. In contrast with the emission charging system, which is only an administrative rule, the EPTL has a stronger effect on pollution behaviors (<xref ref-type="bibr" rid="B62">Maung et al., 2016</xref>).</p>
<p>The EPTL sets minimum tax rates nationally, and provinces are authorized to levy environmental protection taxes within ten times of the prescribed minimum value. The EPTL is developed based on the previous emission charging system, and a number of provinces still charge the same amount of cash to polluters as before. In other words, the amount of money paid by polluters in these provinces for discharging pollutants remains unchanged after the reform. In contrast, 14 provinces have raised the charges for emission after the reform, including Beijing, Tianjin, Hebei, Jiangsu, Shandong, Henan, Sichuan, Chongqing, Hunan, Hainan, Guizhou, Guangdong, Guangxi and Shanxi.</p>
</sec>
<sec id="s2-2">
<title>2.2 Related literature</title>
<p>This paper is related to two strands of literature. The first is the effect of environmental taxes. Environmental taxes can increase tax burden for polluting firms, which in turn influences both the environment and the economy (<xref ref-type="bibr" rid="B68">Pearce, 1991</xref>; <xref ref-type="bibr" rid="B10">Bonnet et al., 2018</xref>; <xref ref-type="bibr" rid="B59">Li et al., 2022</xref>). A growing body of literature indicates that environmental taxes are among the most effective ways to reduce pollution and improve environmental quality (<xref ref-type="bibr" rid="B8">Baumol et al., 1988</xref>; <xref ref-type="bibr" rid="B13">Bovenberg and Mooij, 1997</xref>; <xref ref-type="bibr" rid="B67">Patuelli et al., 2005</xref>; <xref ref-type="bibr" rid="B35">Ekins et al., 2011</xref>; <xref ref-type="bibr" rid="B34">Ekins et al., 2012</xref>; <xref ref-type="bibr" rid="B10">Bonnet et al., 2018</xref>; <xref ref-type="bibr" rid="B59">Li et al., 2022</xref>). For instance, <xref ref-type="bibr" rid="B4">Agnolucci (2009)</xref> investigates environmental tax reform in Germany and Britain, and finds that environmental taxes can reduce both energy consumption and carbon dioxide emissions in a significant way. Also, <xref ref-type="bibr" rid="B16">Bruvoll and Larsen (2004)</xref>, <xref ref-type="bibr" rid="B45">Guo et al. (2014)</xref>, <xref ref-type="bibr" rid="B78">Wang et al. (2018)</xref>, <xref ref-type="bibr" rid="B84">Zhai et al. (2021)</xref> find that carbon taxes can reduce emissions of carbon dioxide and air pollutants at the same time.</p>
<p>Environmental taxes improve environmental quality primarily by forcing producers to reduce emissions, rather than lowering consumers&#x2019; consumption (<xref ref-type="bibr" rid="B66">Pang, 2018</xref>; <xref ref-type="bibr" rid="B77">van der Ploeg et al., 2022</xref>). This is because for producers, the supply elasticity is relatively higher, and producers can adjust their output to achieve emission reduction targets. While for consumers, the demand elasticity is relatively lower, which makes it difficult for consumers to change their demand significantly in a short time (<xref ref-type="bibr" rid="B77">van der Ploeg et al., 2022</xref>). For producers, environmental taxes increase the marginal cost of energy consumption, and thus lead to lower output levels as well as reduced emissions (<xref ref-type="bibr" rid="B40">Gray and Shadbegian, 2003</xref>; <xref ref-type="bibr" rid="B64">Pal and Saha, 2015</xref>). In addition, if environmental taxes paid by firms are higher than employing clean technologies, firms are more willing to pay for cleaner technologies and emission-related technological innovations (<xref ref-type="bibr" rid="B28">Cremer and Gahvari, 2004</xref>; <xref ref-type="bibr" rid="B15">Br&#xe9;card, 2011</xref>; <xref ref-type="bibr" rid="B35">Ekins, et al., 2011</xref>; <xref ref-type="bibr" rid="B54">Lanoie et al., 2011</xref>; <xref ref-type="bibr" rid="B33">Ebenstein et al., 2015</xref>; <xref ref-type="bibr" rid="B3">Aghion et al., 2016</xref>; <xref ref-type="bibr" rid="B55">Leslie, 2018</xref>; <xref ref-type="bibr" rid="B23">Chen and Ma, 2021</xref>; <xref ref-type="bibr" rid="B25">Cheng et al., 2022</xref>).</p>
<p>Environmental taxes are widely regarded as an effective means for environmental governance (<xref ref-type="bibr" rid="B67">Patuelli et al., 2005</xref>; <xref ref-type="bibr" rid="B35">Ekins et al., 2011</xref>; <xref ref-type="bibr" rid="B34">Ekins et al., 2012</xref>; <xref ref-type="bibr" rid="B55">Leslie, 2018</xref>; <xref ref-type="bibr" rid="B59">Li et al., 2022</xref>), and that factors including industrial structure, the use of environmental tax revenues and trade liberalization can reduce the effectiveness of environmental taxes for pollution abatement (<xref ref-type="bibr" rid="B11">Bosquet, 2000</xref>; <xref ref-type="bibr" rid="B83">Yates, 2012</xref>; <xref ref-type="bibr" rid="B32">Duan et al., 2021</xref>; <xref ref-type="bibr" rid="B47">He et al., 2021</xref>; <xref ref-type="bibr" rid="B86">Zhang et al., 2022</xref>). For example, <xref ref-type="bibr" rid="B36">Fredriksson (2001)</xref> finds that environmental lobbyists can influence the effectiveness of environmental taxes. This is because, when politicians are able to influence the provision of related subsidies to firms, lobbyists may finance campaigns in exchange for the subsidies, which are greater than their lobbying costs. As a result, emission costs for lobbyist-associated polluters are reduced, and their emissions will further increase (<xref ref-type="bibr" rid="B36">Fredriksson, 2001</xref>). In addition, environmental benefits of environmental taxes may decline due to inflation, entry of new polluters, and government&#x2019;s implementation of other alternative policies (<xref ref-type="bibr" rid="B26">Clinch et al., 2006</xref>; <xref ref-type="bibr" rid="B18">Cao et al., 2021</xref>).</p>
<p>In terms of economic effects, environmental taxes have impacts on economic growth, tax distortion, income distribution, and fiscal sustainability (<xref ref-type="bibr" rid="B11">Bosquet, 2000</xref>; <xref ref-type="bibr" rid="B35">Ekins et al., 2011</xref>; <xref ref-type="bibr" rid="B51">Karydas and Zhang, 2019</xref>; <xref ref-type="bibr" rid="B27">Costantini and Sforna, 2020</xref>; <xref ref-type="bibr" rid="B75">Spinesi, 2022</xref>; <xref ref-type="bibr" rid="B86">Zhang et al., 2022</xref>). Controversy remains over the economic impacts of environmental taxes. For instance, <xref ref-type="bibr" rid="B35">Ekins et al. (2011)</xref>, <xref ref-type="bibr" rid="B6">Aubert and Chiroleu-Assouline (2019)</xref> argue that environmental taxes can reduce tax distortions through redistribution, and contribute to higher social welfare. While <xref ref-type="bibr" rid="B12">Bovenberg and De Mooij (1994)</xref>, and <xref ref-type="bibr" rid="B10">Bonnet et al. (2018)</xref> propose that, when tax distortions already exist, environmental taxes will exacerbate distortions. This is because environmental taxes can contribute to increased production costs and lower wages for workers, and lead to higher tax distortions (<xref ref-type="bibr" rid="B14">Bovenberg and Goulder, 2002</xref>). <xref ref-type="bibr" rid="B51">Karydas and Zhang (2019)</xref> explores the influence of environmental taxes on economic growth and technological innovation and find that the impacts may vary due to related external factors. <xref ref-type="bibr" rid="B63">Oueslati (2014)</xref> also argues that the type of taxes vary the associated economic and welfare effects.</p>
<p>Previous studies focused on the environmental and economic effects of environmental taxes. However, the extent of environmental taxes on air pollution and the characteristics of the effects are relatively underexplored. In addition, most of the existing studies investigate the impact of environmental taxes through model derivation, no one has yet analyzed environmental taxes&#x2019; contribution to emission reduction using micro data from developing economies.</p>
<p>Another strand of literature is the influence of government related factors on pollution in three aspects. The first is environmental policies (e.g., <xref ref-type="bibr" rid="B70">Sadik-Zada and Sadik-Zada, 2020</xref>). For example, in the United States, the Clean Air Act has reduced pollution in hundreds of counties and has improved air quality in the long-term (<xref ref-type="bibr" rid="B43">Greenstone, 2002</xref>; <xref ref-type="bibr" rid="B49">Isen et al., 2017</xref>). And in China, the Environmental Protection Law has been proved to be effective in air pollution reduction (<xref ref-type="bibr" rid="B57">Li et al., 2016</xref>; <xref ref-type="bibr" rid="B39">Geng et al., 2021</xref>).</p>
<p>The second is local governments&#x2019; fiscal stress. Previous studies find that fiscal stress is closely associated with environmental quality (<xref ref-type="bibr" rid="B80">Wen and Zhang, 2022</xref>). Fiscal stress contributes to laxer environmental regulations, which is beneficial for local governments to attract investment, and contribute to environmental degradation (<xref ref-type="bibr" rid="B21">Chen 2017</xref>; <xref ref-type="bibr" rid="B7">Bai et al., 2019</xref>; <xref ref-type="bibr" rid="B80">Wen and Zhang, 2022</xref>). In addition, fiscal stress can distort the structure of government spending, governments may reduce expenditures on environmental conservation even though faced with severe pollution, environmental degradation can thus be accelerated (<xref ref-type="bibr" rid="B48">Hettige et al., 2000</xref>; <xref ref-type="bibr" rid="B61">L&#xf3;pez et al., 2011</xref>). For instance, <xref ref-type="bibr" rid="B52">Kong and Zhu (2022)</xref> find that the abolition of agricultural taxes caused increases in local fiscal stress, and led to a 4 percent increase in emissions.</p>
<p>The third is tax competition. Tax competition is the phenomenon that local governments compete with each other for tax sources. <xref ref-type="bibr" rid="B28">Cremer and Gahvari (2004)</xref> find that tax competition causes an increase in pollution emission. Tax competition can contribute to laxer environmental standards, and result in environmental degradation (<xref ref-type="bibr" rid="B81">Wilson, 1999</xref>; <xref ref-type="bibr" rid="B7">Bai et al., 2019</xref>). In general, local governments engage in tax competition by reducing tax rates and providing tax incentives, which lead to losses in tax revenues. Local governments are therefore motivated to provide fewer environment-related public goods. Environmental degradation can thus be accelerated. In conclusion, a large body of literature has focused on government-related factors that can affect pollution, little attention has been paid to the influence of the environmental tax reform on pollution in China.</p>
</sec>
<sec id="s2-3">
<title>2.3 Hypothesis development</title>
<p>The environmental tax reform increases the cost of emitting, and forces firms to reduce emissions by reducing production and applying cleaner technologies. Before the reform in 2018, China had been charging for emissions based on an administrative rule known as the &#x201c;emission charging system&#x201d;. Due to local governments&#x2019; various considerations of tax revenues, employment and economic development, the regulation had not been strictly enforced. For instance, a number of polluting firms with large contribution to government revenue are exempted from the charges, the effectiveness of the regulation on air pollution is therefore limited (<xref ref-type="bibr" rid="B82">Wu and Tal, 2018</xref>). After the EPTL reform, China taxes emissions according to the law. The emission charging system is only an administrative rule, while the EPTL is a law and is therefore of greater mandatory character (<xref ref-type="bibr" rid="B78">Wang et al., 2018</xref>). The EPTL contributes to higher regulatory pressures for firms and increased cost of emissions, and further forces polluting firms to participate in environmental management (<xref ref-type="bibr" rid="B1">Acemoglu et al., 2012</xref>).</p>
<p>In addition, on the basis of the emission charging system, 14 provinces have raised the charges according to the EPTL, which contribute to enhanced emission reduction effect of the EPTL in these provinces<xref ref-type="fn" rid="fn1">
<sup>1</sup>
</xref>. Local governments are authorized by the EPTL to adjust tax rates upward, and 14 provinces have raised tax rates. For other provinces, charges for emission remains unchanged as it was in the emission charging system. Existing studies show that higher charges increase the cost of emissions for firms remarkably (<xref ref-type="bibr" rid="B35">Ekins, et al., 2011</xref>; <xref ref-type="bibr" rid="B64">Pal and Saha, 2015</xref>; <xref ref-type="bibr" rid="B55">Leslie, 2018</xref>; <xref ref-type="bibr" rid="B25">Cheng et al., 2022</xref>). Higher tax rates can thus force firms to find ways for emission reduction, which in turn contribute to improved air quality (<xref ref-type="bibr" rid="B40">Gray and Shadbegian, 2003</xref>; <xref ref-type="bibr" rid="B35">Ekins, et al., 2011</xref>; <xref ref-type="bibr" rid="B64">Pal and Saha, 2015</xref>; <xref ref-type="bibr" rid="B25">Cheng et al., 2022</xref>). In additon, previous studies show that firms are less likely to invest in regions with higher tax rates (<xref ref-type="bibr" rid="B31">Dean et al., 2009</xref>). Therefore, we propose the following hypothesis.</p>
<p>
<statement content-type="h1" id="H1">
<label>H1</label>
<p>The reform can mitigate air pollution.</p>
<p>In regions with stricter tax enforcement, tax avoidance activities are more likely to be detected by tax authorities. The consequences of tax avoidance activities are also more severe for firms in these regions. Tax avoidance may not only fail to create interests for firms, but can also bring them losses in reputation. In regions with stricter tax enforcement, the benefit-cost ratio of tax avoidance becomes lower, which further discourages firms&#x2019; tax avoidance activities. Therefore, we propose the following hypothesis.</p>
</statement>
</p>
<p>
<statement content-type="h2" id="H2">
<label>H2</label>
<p>Stricter tax enforcement can enhance the effect of the reform on emission reduction.</p>
<p>Fiscal stress contributes to laxer environmental regulation and declines in governments&#x2019; investment in the environment, and further leads to air pollution. Local governments are inclined to support industries that contribute more tax revenues facing higher fiscal stress (for instance, manufacturing and construction industry), and are more likely to relax environmental regulation for economic development (<xref ref-type="bibr" rid="B46">Han and Kung, 2015</xref>; <xref ref-type="bibr" rid="B7">Bai et al., 2019</xref>; <xref ref-type="bibr" rid="B80">Wen and Zhang, 2022</xref>). Laxer environmental regulations can make local firms emit more pollutants, and can attract new polluters as well (<xref ref-type="bibr" rid="B31">Dean et al., 2009</xref>). In addition, economic performance is particularly important for the promotion of local officials (<xref ref-type="bibr" rid="B56">Li and Zhou, 2005</xref>; <xref ref-type="bibr" rid="B20">Chen et al., 2021</xref>). The need for economic growth can distort the structure of local government expenditures (<xref ref-type="bibr" rid="B7">Bai et al., 2019</xref>). Facing higher fiscal stress, governments are inclined to reduce investment in environmental protection, which can adversely affect pollution abatement (<xref ref-type="bibr" rid="B7">Bai et al., 2019</xref>). Accordingly, we propose the following hypothesis.</p>
</statement>
</p>
<p>
<statement content-type="h3" id="H3">
<label>H3</label>
<p>The reform is less effective in regions with higher levels of fiscal stress.</p>
<p>Initial pollution levels can also vary the effect of the reform. This is because regions with clean air have less potential to improve air quality (<xref ref-type="bibr" rid="B38">Gendron-Carrier et al., 2018</xref>). If the air pollution level does not reach a certain level of severity, the reform ought to be less effective. In addition, local governments will trade-off between economic development and the environment (<xref ref-type="bibr" rid="B65">Pang et al., 2019</xref>). For less polluted cities, the governments are not willing to sacrifice economic development for environmental improvement, leading to weaker effects of environmental regulations. While for heavily polluted cities, local governments are more inclined to improve air quality to avoid punishment from the central government. Therefore, we propose the following hypothesis.</p>
</statement>
</p>
<p>
<statement content-type="h4" id="H4">
<label>H4</label>
<p>The reform is more influential in regions with higher initial pollution levels.</p>
</statement>
</p>
</sec>
</sec>
<sec id="s3">
<title>3 Research design and data</title>
<sec id="s3-1">
<title>3.1 Research design</title>
<p>As we discussed earlier, building on the emission charging system, 14 provinces have raised the charges according to the EPTL, which can further contribute to enhanced effectiveness of the EPTL in the provinces. Also, the appliance of exogenous policy shocks in this paper can reduce the problem of endogeneity bias (<xref ref-type="bibr" rid="B37">Friedrich, 2022</xref>). The environmental tax reform is implemented by the central government. Firms are thus almost impossible to influence the environmental tax reform. This addresses the reverse causality problem in the inferences of the paper. Hence, using environmental tax reform as a quasi-natural experiment and employing the difference-in-difference (DID) method can reduce endogeneity bias and increase the reliability of the results in this paper. To test the effect of the reform on air pollution, we adopt the difference-in-differences (DID) method and employ the following model:<disp-formula id="e1">
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<mml:mi>W</mml:mi>
<mml:mrow>
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<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
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<mml:msub>
<mml:mi>&#x3b8;</mml:mi>
<mml:mrow>
<mml:mi>j</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3b5;</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>j</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
<label>(1)</label>
</disp-formula>
</p>
<p>In Eq. <xref ref-type="disp-formula" rid="e1">1</xref>, <italic>AQI</italic>
<sub>
<italic>jt</italic>
</sub> is air quality index for city <italic>j</italic> in date <italic>t</italic>. <italic>Treat</italic>
<sub>
<italic>i</italic>
</sub> is an indicator for cities in the 14 provinces that have raised the tax rates<xref ref-type="fn" rid="fn2">
<sup>2</sup>
</xref>. <italic>Post</italic>
<sub>
<italic>t</italic>
</sub> is an indicator variable which equals one for years of 2018&#x2013;2021, and zero otherwise. This is because the EPTL came into effect in January 2018. <italic>W</italic>
<sub>
<italic>jt</italic>
</sub> is a series of weather controls, including <italic>Wind speed</italic>, <italic>Wind direction</italic>, <italic>Temperature</italic>, <italic>Precipitation</italic>, <italic>Dew point</italic>, and <italic>Sea-level pressure</italic>, as well as the corresponding quadratic terms (<xref ref-type="bibr" rid="B87">Zhang et al., 2018</xref>). Weather variables are included because the existing studies show that meteorological factors can influence the aggregation and dissipation of air pollutants (<xref ref-type="bibr" rid="B72">Seaman, 2000</xref>; <xref ref-type="bibr" rid="B5">Arain et al., 2007</xref>; <xref ref-type="bibr" rid="B42">Greenstone et al., 2022</xref>). Following <xref ref-type="bibr" rid="B2">Agarwal et al. (2019)</xref> and <xref ref-type="bibr" rid="B58">Li et al. (2020)</xref>, we introduce weather variables in the model. The definitions are presented in <xref ref-type="table" rid="TA1">Table A1</xref> <italic>&#x3b8;</italic>
<sub>
<italic>it</italic>
</sub> is a set of fixed effects, including city and date fixed effects. We include city and date fixed effects to control for both ctiy- and time-level unobservables. We cluster standard errors at the city level. All continuous variables are winsorized at the .5 and 99.5 percent.</p>
</sec>
<sec id="s3-2">
<title>3.2 Data</title>
<p>Data on air pollution comes from the Ministry of Ecology and Environment of China (CMEE). We obtain hourly data on <italic>AQI</italic>, <italic>PM</italic>
<sub>
<italic>2.5</italic>
</sub>, and <italic>PM</italic>
<sub>
<italic>10</italic>
</sub> from the CMEE, and convert the data into daily mean values at the city level.</p>
<p>Data on meteorological factors comes from the National Oceanic and Atmospheric Administration (NOAA). Original data on weather are at three-hour intervals. Dew point is used to control for relative humidity (<xref ref-type="bibr" rid="B87">Zhang et al., 2018</xref>). We combine the data into daily mean levels. Quadratic terms of weather variables are constructed using daily mean values. An inverse-distance weighting method using weather stations within 200&#xa0;km is applied to compute city level weighted weather data (<xref ref-type="bibr" rid="B87">Zhang et al., 2018</xref>). Distances are measured in great-circle distance for higher accuracy (<xref ref-type="bibr" rid="B71">Sager 2019</xref>). We convert Greenwich Mean Time (GMT) used in the NOAA data to Beijing time, and then match weather variables with pollution data. Descriptive statistics 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.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left"/>
<th align="left">Mean</th>
<th align="left">Std. Dev</th>
<th align="left">p50</th>
<th align="left">Min</th>
<th align="left">Max</th>
<th align="left">N</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">AQI</td>
<td align="left">66.13</td>
<td align="left">42.11</td>
<td align="left">55.54</td>
<td align="left">15.79</td>
<td align="left">291.9</td>
<td align="left">826,916</td>
</tr>
<tr>
<td align="left">Precipitation (mm)</td>
<td align="left">4.002</td>
<td align="left">8.566</td>
<td align="left">.600</td>
<td align="left">0</td>
<td align="left">67.98</td>
<td align="left">826,916</td>
</tr>
<tr>
<td align="left">Temperature (&#xb0;C)</td>
<td align="left">14.50</td>
<td align="left">10.94</td>
<td align="left">16.27</td>
<td align="left">&#x2212;19.18</td>
<td align="left">31.44</td>
<td align="left">826,916</td>
</tr>
<tr>
<td align="left">Wind speed (m/s)</td>
<td align="left">2.417</td>
<td align="left">.945</td>
<td align="left">2.223</td>
<td align="left">.900</td>
<td align="left">6.365</td>
<td align="left">826,916</td>
</tr>
<tr>
<td align="left">Wind direction (degree)</td>
<td align="left">185.4</td>
<td align="left">50.38</td>
<td align="left">185.7</td>
<td align="left">61.64</td>
<td align="left">315.9</td>
<td align="left">826,916</td>
</tr>
<tr>
<td align="left">Dew point (&#xb0;C)</td>
<td align="left">7.541</td>
<td align="left">12.65</td>
<td align="left">9.386</td>
<td align="left">&#x2212;26.73</td>
<td align="left">26.25</td>
<td align="left">826,916</td>
</tr>
<tr>
<td align="left">Sea-level Pressure (hPa)</td>
<td align="left">1,020</td>
<td align="left">10.02</td>
<td align="left">1,020</td>
<td align="left">995.6</td>
<td align="left">1,040</td>
<td align="left">826,916</td>
</tr>
<tr>
<td align="left">TE</td>
<td align="left">&#x2212;.008</td>
<td align="left">.110</td>
<td align="left">-.004</td>
<td align="left">&#x2212;1.675</td>
<td align="left">.133</td>
<td align="left">595,921</td>
</tr>
<tr>
<td align="left">FS</td>
<td align="left">1.428</td>
<td align="left">2.462</td>
<td align="left">.894</td>
<td align="left">&#x2212;.351</td>
<td align="left">34.95</td>
<td align="left">709,595</td>
</tr>
<tr>
<td align="left">FS1</td>
<td align="left">.044</td>
<td align="left">.081</td>
<td align="left">.029</td>
<td align="left">&#x2212;.026</td>
<td align="left">1.231</td>
<td align="left">709,595</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>Notes: Definitions are shown in <xref ref-type="table" rid="TA1">Table A1</xref>.</p>
</fn>
</table-wrap-foot>
</table-wrap>
</sec>
</sec>
<sec id="s4">
<title>4 Empirical results</title>
<sec id="s4-1">
<title>4.1 Main results</title>
<p>
<xref ref-type="table" rid="T2">Table 2</xref> reports the results from estimating Eq. <xref ref-type="disp-formula" rid="e1">1</xref>. In column 1, we exclude control variables and fixed effects. The coefficient of <italic>Treat &#xd7; Post</italic> is significantly negative at the 1% level. In column 2, fixed effects are introduced. The coefficient of <italic>Treat &#xd7; Post</italic> is negative and significant at the 1% level, and declines from &#x2212;4.523 to &#x2212;2.634. In column 3, we exclude the quadratic terms of each weather variable. The coefficient of <italic>Treat &#xd7; Post</italic> remains significant. Compared with column 3, the coefficient of <italic>Treat &#xd7; Post</italic> in column 4 is only slightly disturbed. In <xref ref-type="table" rid="T2">Table 2</xref>, all the coefficients of <italic>Treat &#xd7; Post</italic> are negative and statistically significant. This indicates that, to some extent, the reform is exogenous.</p>
<table-wrap id="T2" position="float">
<label>TABLE 2</label>
<caption>
<p>The effect of environmental tax reform on air pollution.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th rowspan="2" align="left"/>
<th colspan="4" align="left">AQI</th>
</tr>
<tr>
<th align="left">(1)</th>
<th align="left">(2)</th>
<th align="left">(3)</th>
<th align="left">(4)</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td rowspan="2" align="left">Treat &#xd7; Post</td>
<td align="left">&#x2212;4.523&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;2.634&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;2.477&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;2.361&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left">(.105)</td>
<td align="left">(.754)</td>
<td align="left">(.768)</td>
<td align="left">(.775)</td>
</tr>
<tr>
<td align="left">Linear terms of weather variables</td>
<td align="left">N</td>
<td align="left">N</td>
<td align="left">Y</td>
<td align="left">Y</td>
</tr>
<tr>
<td align="left">Quadratic terms of weather variables</td>
<td align="left">N</td>
<td align="left">N</td>
<td align="left">N</td>
<td align="left">Y</td>
</tr>
<tr>
<td align="left">City FE</td>
<td align="left">N</td>
<td align="left">Y</td>
<td align="left">Y</td>
<td align="left">Y</td>
</tr>
<tr>
<td align="left">Date FE</td>
<td align="left">N</td>
<td align="left">Y</td>
<td align="left">Y</td>
<td align="left">Y</td>
</tr>
<tr>
<td align="left">N</td>
<td align="left">826,916</td>
<td align="left">826,916</td>
<td align="left">826,916</td>
<td align="left">826,916</td>
</tr>
<tr>
<td align="left">R-squared</td>
<td align="left">.002</td>
<td align="left">.485</td>
<td align="left">.494</td>
<td align="left">.508</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>Notes: Dependent variable is air quality index (<italic>AQI</italic>). <italic>Treat</italic>
<sub>
<italic>i</italic>
</sub> is an indicator for cities in the 14 provinces that have raised tax rates. <italic>Post</italic>
<sub>
<italic>t</italic>
</sub> is an indicator variable which equals one for years of 2018&#x2013;2021, and zero otherwise. Standard errors are clustered at the city level. &#x2a;&#x2a;&#x2a;<italic>p</italic> &#x3c; .01.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>In column 4, the coefficient of <italic>Treat &#xd7; Post</italic> indicates that in provinces which have raised tax rates, AQI is 2.361 lower than other provinces after the reform. Air quality in the provinces with higher tax rates is significantly improved. Hypothesis 1 is thus confirmed. Firms in regions with higher tax rates may have higher emission costs. The firms are therefore more inclined to reduce production and apply cleaner technologies.</p>
</sec>
<sec id="s4-2">
<title>4.2 The role of tax enforcement and tax competition</title>
<p>Stricter enforcement of emission-related policies can make it increasingly harder for firms to avoid paying environmental taxes. To test the impact of tax enforcement on the causality between the reform and air pollution, we estimate Eq. <xref ref-type="disp-formula" rid="e1">1</xref> after introducing the interactions between <italic>TE</italic> and <italic>Treat &#xd7; Post</italic>. <italic>TE</italic> refers to tax enforcement, defined as current tax burden minus the expected tax burden. We use the data from 2016 to calculate <italic>TE</italic>. The expected tax burden is calculated using the residual of Eq. <xref ref-type="disp-formula" rid="e2">2</xref>.</p>
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<mml:mi>&#x3b1;</mml:mi>
<mml:mn>3</mml:mn>
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<mml:mi>I</mml:mi>
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<mml:mi>D</mml:mi>
<mml:mn>2</mml:mn>
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<mml:mi>j</mml:mi>
<mml:mi>t</mml:mi>
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<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3c3;</mml:mi>
<mml:mrow>
<mml:mi>j</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
<label>(2)</label>
</disp-formula>
<p>In Eq. <xref ref-type="disp-formula" rid="e2">2</xref>, <italic>T</italic>
<sub>
<italic>jt</italic>
</sub> is tax revenue for the city j in year t. <italic>GDP</italic>
<sub>
<italic>jt</italic>
</sub> is gross domestic product of city j in year&#xa0;t. <italic>IND1</italic> and <italic>IND2</italic> are the proportion of first and secondary industry in GDP, respectively. Eq. <xref ref-type="disp-formula" rid="e3">3</xref> is used to measure the extent of tax enforcement. A higher value of <italic>TE</italic> indicates stricter tax enforcement.<disp-formula id="e3">
<mml:math id="m3">
<mml:mrow>
<mml:mi>T</mml:mi>
<mml:mi>E</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac bevelled="true">
<mml:mrow>
<mml:msub>
<mml:mi>T</mml:mi>
<mml:mrow>
<mml:mi>j</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>G</mml:mi>
<mml:mi>D</mml:mi>
<mml:mi>P</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>j</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfrac>
<mml:mo>&#x2212;</mml:mo>
<mml:mfrac bevelled="true">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>P</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>T</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>j</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>G</mml:mi>
<mml:mi>D</mml:mi>
<mml:mi>P</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>j</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
<label>(3)</label>
</disp-formula>
</p>
<p>The results are presented in <xref ref-type="table" rid="T3">Table 3</xref>. Introducing <italic>TE</italic> in the model changes the number of observations available for regression, we therefore drop observations for which <italic>TE</italic> is missing. The result in column 1 shows that although the sample size is reduced, the effect of the reform on air pollution remains significantly negative. In column 2, the coefficient of <italic>Treat &#xd7; Post &#xd7; TE</italic> is negative and significant. This suggests that stricter tax enforcement contributes to enhanced effect of the reform on emission reduction. The result is consistent with Hypothesis 2.</p>
<table-wrap id="T3" position="float">
<label>TABLE 3</label>
<caption>
<p>The role of tax enforcement.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th rowspan="2" align="left"/>
<th colspan="2" align="left">AQI</th>
</tr>
<tr>
<th align="left">(1)</th>
<th align="left">(2)</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">Treat &#xd7; Post</td>
<td align="left">&#x2212;1.611&#x2a;&#x2a;</td>
<td align="left">&#x2212;1.432&#x2a;</td>
</tr>
<tr>
<td align="left"/>
<td align="left">(.812)</td>
<td align="left">(.804)</td>
</tr>
<tr>
<td align="left">Treat &#xd7; Post &#xd7; TE</td>
<td align="left"/>
<td align="left">&#x2212;7.715&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left"/>
<td align="left"/>
<td align="left">(3.307)</td>
</tr>
<tr>
<td align="left">Post &#xd7; TE</td>
<td align="left"/>
<td align="left">.213&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left"/>
<td align="left"/>
<td align="left">(.055)</td>
</tr>
<tr>
<td align="left">Weather</td>
<td align="left">Y</td>
<td align="left">Y</td>
</tr>
<tr>
<td align="left">City FE</td>
<td align="left">Y</td>
<td align="left">Y</td>
</tr>
<tr>
<td align="left">Date FE</td>
<td align="left">Y</td>
<td align="left">Y</td>
</tr>
<tr>
<td align="left">N</td>
<td align="left">595,921</td>
<td align="left">595,921</td>
</tr>
<tr>
<td align="left">
<italic>R</italic>
<sup>2</sup>
</td>
<td align="left">.522</td>
<td align="left">.522</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>Notes: Column 1 repeats the baseline regression using reduced sample. <italic>TE</italic>, is defined using Eq. <xref ref-type="disp-formula" rid="e2">2</xref> and Eq. <xref ref-type="disp-formula" rid="e3">3</xref>. &#x2a;<italic>p</italic> &#x3c; .10, &#x2a;&#x2a;<italic>p</italic> &#x3c; .05, &#x2a;&#x2a;&#x2a;<italic>p</italic> &#x3c; .01.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>The findings in <xref ref-type="table" rid="T3">Table 3</xref> show that tax enforcement can vary the effectiveness of the EPTL. And as we discussed in <xref ref-type="sec" rid="s2">Section 2</xref>, during the implementation of the emission charging system, lax enforcement of the policy had contributed to weakened efficiency. Similarly, after the reform, if local governments&#x2019; do not enforce the law effectively, the implementation of the EPTL may not achieve its primary target, namely, reducing environmental pollution.</p>
<p>Tax competition is the phenomenon that local governments compete with each other for tax sources. Tax competition among local governments can lead to serious air pollution in multiple ways<xref ref-type="fn" rid="fn3">
<sup>3</sup>
</xref>. Tax competition can contribute to laxer environmental regulations and inefficiency of environment-related policies, and result in environmental pollution. In order to attract investment and labor, local governments may lower tax rates to engage in tax competition (<xref ref-type="bibr" rid="B28">Cremer and Gahvari, 2004</xref>; <xref ref-type="bibr" rid="B9">Bierbrauer et al., 2013</xref>). To maximize profits, firms may migrate from high-tax-rate regions to lower ones, which causes increased pollution in the latter. In China, local governments are not authorized to adjust tax rates without the approval of the central government, but are authorized to offer tax incentives, which further results in lower effective tax rate. This further helps local governments to attract more investment. Therefore, we can predict that the reform is more effective in regions with a lower level of tax competition.</p>
<p>According to <xref ref-type="bibr" rid="B7">Bai et al. (2019)</xref>, tax competition is defined as income from value added tax divided by GDP. We then creat two subsamples according to the median value of tax competition. Column 1 and 2 of <xref ref-type="table" rid="T4">Table 4</xref> displays the results for subsamples in which tax competition is above and below the median value, respectively. As predicted, the reform improves air quality in regions with lower tax competition.</p>
<table-wrap id="T4" position="float">
<label>TABLE 4</label>
<caption>
<p>The effect of tax competition.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th rowspan="2" align="left"/>
<th align="left">High</th>
<th align="left">Low</th>
</tr>
<tr>
<th align="left">(1)</th>
<th align="left">(2)</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">Treat &#xd7; Post</td>
<td align="left">&#x2212;1.936</td>
<td align="left">&#x2212;2.353&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left"/>
<td align="left">(1.220)</td>
<td align="left">(1.168)</td>
</tr>
<tr>
<td align="left">Weather</td>
<td align="left">Y</td>
<td align="left">Y</td>
</tr>
<tr>
<td align="left">City FE</td>
<td align="left">Y</td>
<td align="left">Y</td>
</tr>
<tr>
<td align="left">Date FE</td>
<td align="left">Y</td>
<td align="left">Y</td>
</tr>
<tr>
<td align="left">N</td>
<td align="left">326,500</td>
<td align="left">330,357</td>
</tr>
<tr>
<td align="left">
<italic>R</italic>
<sup>2</sup>
</td>
<td align="left">.536</td>
<td align="left">.509</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>Notes: Dependent variable is air quality index (<italic>AQI</italic>). &#x2a;&#x2a;<italic>p</italic> &#x3c; .05.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>The results show that a higher level of tax competition restricts the effectiveness of the reform. Existing studies also show that tax competition between governments has a negative impact on pollution for both local and surrounding regions (<xref ref-type="bibr" rid="B81">Wilson, 1999</xref>; <xref ref-type="bibr" rid="B28">Cremer and Gahvari, 2004</xref>; <xref ref-type="bibr" rid="B7">Bai et al., 2019</xref>). If local governments are overly involved in tax competition, the reform would be less effective.</p>
</sec>
<sec id="s4-3">
<title>4.3 The effect of fiscal stress</title>
<p>Fiscal stress can lead local governments to apply laxer environmental regulations so as to attract investment. Also, fiscal stress is responsible for reduced expenditures on environment-related public goods. Hence, local governments&#x2019; fiscal stress may undermine the effectiveness of the reform. To investigate whether fiscal stress matters for the causality between the reform and air pollution, we apply interactions between <italic>FS</italic>, <italic>FS1</italic> and <italic>Treat &#xd7; Post</italic> in the model. The definitions of <italic>FS</italic> and <italic>FS1</italic> are presented in <xref ref-type="table" rid="TA1">Table A1</xref>. We use the data from 2016 to calculate <italic>FS</italic> and <italic>FS1</italic>.</p>
<p>The results are presented in <xref ref-type="table" rid="T5">Table 5</xref>. Introducing <italic>FS</italic> and <italic>FS1</italic> in the model also changes the number of observations available for regression, hence, we drop observations for which data on <italic>FS</italic> or <italic>FS1</italic> is missing. Column 1 shows the baseline results, the coefficient of <italic>Treat &#xd7; Post</italic> remains negative and significant. Column 2 and 3 report the results after introducing the interactions. The coefficients of <italic>Treat &#xd7; Post &#xd7; FS</italic> and <italic>Treat &#xd7; Post &#xd7; FS1</italic> are positive and significant. The findings show that the effectiveness of the reform can be reduced by local governments&#x2019; fiscal stress.</p>
<table-wrap id="T5" position="float">
<label>TABLE 5</label>
<caption>
<p>The effect of fiscal stress.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th rowspan="2" align="left"/>
<th colspan="3" align="left">AQI</th>
</tr>
<tr>
<th align="left">(1)</th>
<th align="left">(2)</th>
<th align="left">(3)</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">Treat &#xd7; Post</td>
<td align="left">&#x2212;2.296&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;3.549&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;1.091</td>
</tr>
<tr>
<td align="left"/>
<td align="left">(.787)</td>
<td align="left">(1.081)</td>
<td align="left">(.759)</td>
</tr>
<tr>
<td align="left">Treat &#xd7; Post &#xd7; FS</td>
<td align="left"/>
<td align="left">1.312&#x2a;&#x2a;</td>
<td align="left"/>
</tr>
<tr>
<td align="left"/>
<td align="left"/>
<td align="left">(.662)</td>
<td align="left"/>
</tr>
<tr>
<td align="left">Post &#xd7; FS</td>
<td align="left"/>
<td align="left">.190</td>
<td align="left"/>
</tr>
<tr>
<td align="left"/>
<td align="left"/>
<td align="left">(.126)</td>
<td align="left"/>
</tr>
<tr>
<td align="left">Treat &#xd7; Post &#xd7; FS1</td>
<td align="left"/>
<td align="left"/>
<td align="left">8.551&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left">(1.644)</td>
</tr>
<tr>
<td align="left">Post &#xd7; FS1</td>
<td align="left"/>
<td align="left"/>
<td align="left">.289</td>
</tr>
<tr>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left">(.204)</td>
</tr>
<tr>
<td align="left">Weather</td>
<td align="left">Y</td>
<td align="left">Y</td>
<td align="left">Y</td>
</tr>
<tr>
<td align="left">City FE</td>
<td align="left">Y</td>
<td align="left">Y</td>
<td align="left">Y</td>
</tr>
<tr>
<td align="left">Date FE</td>
<td align="left">Y</td>
<td align="left">Y</td>
<td align="left">Y</td>
</tr>
<tr>
<td align="left">N</td>
<td align="left">709,595</td>
<td align="left">709,595</td>
<td align="left">709,595</td>
</tr>
<tr>
<td align="left">
<italic>R</italic>
<sup>2</sup>
</td>
<td align="left">.519</td>
<td align="left">.519</td>
<td align="left">.520</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>Notes: Column 1 repeats the baseline regression using reduced sample. <italic>FS</italic>, and <italic>FS1</italic> are measures for fiscal stress, defined in <xref ref-type="table" rid="TA1">Table A1</xref>. &#x2a;&#x2a;<italic>p</italic> &#x3c; .05, &#x2a;&#x2a;&#x2a;<italic>p</italic> &#x3c; .01.</p>
</fn>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="s4-4">
<title>4.4 The role of initial pollution levels</title>
<p>Initial pollution levels can vary the influence of the reform on air pollution. To examine the role of initial pollution levels, we induce the interaction between <italic>Treat &#xd7; Post</italic> and <italic>Initial</italic>. <italic>Initial</italic> is the annual average AQI in 2017, the year before the reform. Annual mean values of AQI are calculated using daily data. Cities with daily data less than 100 days are excluded.</p>
<p>
<xref ref-type="table" rid="T6">Table 6</xref> displays the results. Due to missing values of <italic>Initial</italic> for a few cities, the sample size is smaller than the baseline regression. Hence, we re-estimate Eq. <xref ref-type="disp-formula" rid="e1">1</xref> using the reduced sample. In column 1, the coefficient of <italic>Treat &#xd7; Post</italic> is negative and significant, indicating that the result is not influenced by the reduction in sample size. In column 2, the coefficient of <italic>Treat &#xd7; Post &#xd7; Initial</italic> is significantly negative. The result shows that the reform is particularly significant in heavily polluted regions. Regions with higher initial pollution levels have greater potential for environmental improvement.</p>
<table-wrap id="T6" position="float">
<label>TABLE 6</label>
<caption>
<p>The role of initial pollution levels.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th rowspan="2" align="left"/>
<th colspan="2" align="left">AQI</th>
</tr>
<tr>
<th align="left">(1)</th>
<th align="left">(2)</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">Treat &#xd7; Post</td>
<td align="left">&#x2212;2.362&#x2a;&#x2a;&#x2a;</td>
<td align="left">10.862&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left"/>
<td align="left">(.133)</td>
<td align="left">(2.964)</td>
</tr>
<tr>
<td align="left">Treat &#xd7; Post &#xd7; Initial</td>
<td align="left"/>
<td align="left">&#x2212;.172&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left"/>
<td align="left"/>
<td align="left">(.044)</td>
</tr>
<tr>
<td align="left">Post &#xd7; Initial</td>
<td align="left"/>
<td align="left">&#x2212;.072&#x2a;</td>
</tr>
<tr>
<td align="left"/>
<td align="left"/>
<td align="left">(.037)</td>
</tr>
<tr>
<td align="left">Weather</td>
<td align="left">Y</td>
<td align="left">Y</td>
</tr>
<tr>
<td align="left">City FE</td>
<td align="left">Y</td>
<td align="left">Y</td>
</tr>
<tr>
<td align="left">Date FE</td>
<td align="left">Y</td>
<td align="left">Y</td>
</tr>
<tr>
<td align="left">N</td>
<td align="left">820,317</td>
<td align="left">820,317</td>
</tr>
<tr>
<td align="left">
<italic>R</italic>
<sup>2</sup>
</td>
<td align="left">.506</td>
<td align="left">.508</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>Notes: Column 1 repeats the baseline regression using reduced sample. <italic>Initial</italic> is the annual average AQI in 2017, the year before the reform. &#x2a;<italic>p</italic> &#x3c; .10, &#x2a;&#x2a;<italic>p</italic> &#x3c; .05, &#x2a;&#x2a;&#x2a;<italic>p</italic> &#x3c; .01.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>Results in <xref ref-type="table" rid="T6">Table 6</xref> indicate that initial pollution levels are able to vary the causality between the reform and air pollution. Regions with higher initial pollution levels are more sensitive to the reform. <xref ref-type="bibr" rid="B38">Gendron-Carrier et al. (2018)</xref> investigate the expansion of subway system on air pollution and find that, in cities with higher pollution levels, subway systems contribute to improvement of air quality. While the effect is weaker in less polluted cities. To some extent, our result is consistent with <xref ref-type="bibr" rid="B38">Gendron-Carrier et al. (2018)</xref>.</p>
</sec>
<sec id="s4-5">
<title>4.5 Heterogeneity analysis</title>
<sec id="s4-5-1">
<title>4.5.1 Economic development and industrial development</title>
<p>The influence of the reform may differ across developed and under-developed regions. For regions with different levels of economic development, the importance of environmental governance also varies. In general, developed regions are faced with more environmental issues, and stricter emission reduction targets (<xref ref-type="bibr" rid="B39">Geng et al., 2021</xref>). Hence, local governments in developed regions are more motivated to improve air quality. In addition, governments in developed regions are faced with less fiscal stress because of sufficient fiscal revenues (<xref ref-type="bibr" rid="B62">Maung et al., 2016</xref>; <xref ref-type="bibr" rid="B29">Dang et al., 2019</xref>), and are therefore unlikely to attract investment using laxer environmental regulations (<xref ref-type="bibr" rid="B62">Maung et al., 2016</xref>). Furthermore, local governments in rich regions are able to invest more in environmental protection. Therefore, we can predict that the causality between the reform and air pollution is more significant in developed regions.</p>
<p>We then divide the sample into rich and poor regions using two methods. First, we split the sample into three parts according to the geographical regions they belong to. This is because eastern China is more developed while central and western China are relatively underdeveloped. Second, we employ city-level GDP as a measure for economic development, and divide the sample into two subsamples in which the GDP is above or below the median value.</p>
<p>In column 1 of <xref ref-type="table" rid="T7">Table 7</xref>, the coefficient of <italic>Treat &#xd7; Post</italic> is statistically significant for cities in estern China. While in column 2 and 3, the coefficients are insignificant. Similarly, in column 4, The coefficient of <italic>Treat &#xd7; Post</italic> is also significant for developed regions. We compare the results in column 1 and 4 and find that, classifying the level of economic development either by geographic region or by GDP yields consistent results, i.e., for developed regions, the effect of environmental taxes on pollution abatement is more significant.</p>
<table-wrap id="T7" position="float">
<label>TABLE 7</label>
<caption>
<p>The effect of geographical location and economic development.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th rowspan="3" align="left"/>
<th align="left">Geographical location</th>
<th colspan="4" align="left">GDP</th>
</tr>
<tr>
<th align="left">East</th>
<th align="left">Central</th>
<th align="left">West</th>
<th align="left">High</th>
<th align="left">Low</th>
</tr>
<tr>
<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>
</thead>
<tbody valign="top">
<tr>
<td align="left">Treat &#xd7; Post</td>
<td align="left">&#x2212;3.525&#x2a;&#x2a;</td>
<td align="left">.304</td>
<td align="left">&#x2212;1.601</td>
<td align="left">-2.965&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;.237</td>
</tr>
<tr>
<td align="left"/>
<td align="left">(1.532)</td>
<td align="left">(1.110)</td>
<td align="left">(1.235)</td>
<td align="left">(1.087)</td>
<td align="left">(1.101)</td>
</tr>
<tr>
<td align="left">Weather</td>
<td align="left">Y</td>
<td align="left">Y</td>
<td align="left">Y</td>
<td align="left">Y</td>
<td align="left">Y</td>
</tr>
<tr>
<td align="left">City FE</td>
<td align="left">Y</td>
<td align="left">Y</td>
<td align="left">Y</td>
<td align="left">Y</td>
<td align="left">Y</td>
</tr>
<tr>
<td align="left">Date FE</td>
<td align="left">Y</td>
<td align="left">Y</td>
<td align="left">Y</td>
<td align="left">Y</td>
<td align="left">Y</td>
</tr>
<tr>
<td align="left">N</td>
<td align="left">216,353</td>
<td align="left">205,928</td>
<td align="left">314,244</td>
<td align="left">354,826</td>
<td align="left">354,769</td>
</tr>
<tr>
<td align="left">
<italic>R</italic>
<sup>2</sup>
</td>
<td align="left">.627</td>
<td align="left">.619</td>
<td align="left">.498</td>
<td align="left">.559</td>
<td align="left">.484</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>Notes: Dependent variable is air quality index (<italic>AQI</italic>). &#x2a;&#x2a;<italic>p</italic> &#x3c; .05, &#x2a;&#x2a;&#x2a;<italic>p</italic> &#x3c; .01.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>We are not asserting that the reform is effective only in developed regions. What the results here show is that for develop regions, the causality between the reform and the improvement of air quality is clear. Previous studies suggest that environmental taxes are effective in environmental improvement (<xref ref-type="bibr" rid="B13">Bovenberg and De Mooij, 1997</xref>; <xref ref-type="bibr" rid="B10">Bonnet et al., 2018</xref>; <xref ref-type="bibr" rid="B59">Li et al., 2022</xref>). Findings in <xref ref-type="table" rid="T7">Table 7</xref> show that when evaluating the effectiveness of environmental taxes, the degree of economic development ought to be taken into account.</p>
<p>Industrial development can also influence the relationship between the reform and air pollution. Industrial development can lead to increases in pollution and lower air quality (<xref ref-type="bibr" rid="B89">Zhao et al., 2021</xref>). According to the Corporate Citizenship Report, industrial firms create 70% of the total pollution in China. Hence, air pollution ought to be more serious in regions with higher development of industry. As we discussed earlier, the reform is influential in regions with higher initial pollution levels. Based on this, we can reasonably predict a significant effect of the reform on air pollution in industrially developed regions. We employ the proportion of secondary industry in GDP as a proxy for industrial development. In column 1 of <xref ref-type="table" rid="T8">Table 8</xref>, the coefficient of <italic>Treat &#xd7; Post</italic> is significantly negative, while the coefficient is insignificant in column 2.</p>
<table-wrap id="T8" position="float">
<label>TABLE 8</label>
<caption>
<p>The proportion of secondary industry in GDP.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th rowspan="2" align="left"/>
<th align="left">High</th>
<th align="left">Low</th>
</tr>
<tr>
<th align="left">(1)</th>
<th align="left">(2)</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">Treat &#xd7; Post</td>
<td align="left">&#x2212;3.481&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;.716</td>
</tr>
<tr>
<td align="left"/>
<td align="left">(1.166)</td>
<td align="left">(.994)</td>
</tr>
<tr>
<td align="left">Weather</td>
<td align="left">Y</td>
<td align="left">Y</td>
</tr>
<tr>
<td align="left">City FE</td>
<td align="left">Y</td>
<td align="left">Y</td>
</tr>
<tr>
<td align="left">Date FE</td>
<td align="left">Y</td>
<td align="left">Y</td>
</tr>
<tr>
<td align="left">N</td>
<td align="left">356,612</td>
<td align="left">352,983</td>
</tr>
<tr>
<td align="left">
<italic>R</italic>
<sup>2</sup>
</td>
<td align="left">.549</td>
<td align="left">.493</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>Notes: Dependent variable is air quality index (<italic>AQI</italic>). &#x2a;&#x2a;&#x2a;<italic>p</italic> &#x3c; .01.</p>
</fn>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="s4-5-2">
<title>4.5.2 Environmental regulation</title>
<p>The effect of the reform may exhibit heterogeneity in cities with different environmental regulation levels. Firms are unlikely to reduce emissions if environmental regulation is weak (<xref ref-type="bibr" rid="B64">Pal and Saha, 2015</xref>). Also, polluting firms are inclined to choose regions with laxer environmental regulation (<xref ref-type="bibr" rid="B31">Dean et al., 2009</xref>). Strict environmental regulation can contribute to higher costs for emissions, and can thus reduce emissions. Polluting firms are also less likely to invest in regions with stricter regulation. Hence, regions with strict environmental regulation exhibit lower levels of pollution. As we discussed earlier, the reform has less potential to improve air quality in less polluted regions. We can predict that in regions with weaker environmental regulation, the effect of the reform can be more significant.</p>
<p>In China, the frequency of certain keywords in the Report on the Work of the Government reflects the focus of government administration. Following <xref ref-type="bibr" rid="B24">Chen et al. (2018)</xref>, we calculate the proportion of environment-related words (e.g., environment, ecology, emission reduction) in the Report on the Work of the Government to measure the level of environmental regulation. A lower value of the proportion indicates laxer environmental regulation. To test the influence of environmental regulation on the relationship between the reform and air pollution, we construct subsamples according to the median value.</p>
<p>Column 1 and 2 of <xref ref-type="table" rid="T9">Table 9</xref> displays the results for the regions with stricter and laxer environmental regulation, respectively. The results show that the reform has a greater impact on air pollution in regions with weaker environmental regulation. The results in <xref ref-type="table" rid="T9">Table 9</xref> confirm that the importance that local governments attach to the environment varies the effectiveness of the reform. We fail to find the effect of the reform on air pollution in regions with stricter regulation. This seems to contradict our previous conclusions. As we discussed earlier, fiscal stress can lead to laxer environmental regulation, and further reduce the impact of the reform. Therefore, the reform has weaker effects on air pollution in regions with higher fiscal stress. However, laxer environmental regulation does not necessarily equal higher fiscal stress, because environmental regulation is affected by complex factors including local policies, environmental awareness of the governments, and the cost of pollution emissions. Local fiscal stress is just one of the reasons.</p>
<table-wrap id="T9" position="float">
<label>TABLE 9</label>
<caption>
<p>The effect of environmental regulation.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th rowspan="2" align="left"/>
<th align="left">High</th>
<th align="left">Low</th>
</tr>
<tr>
<th align="left">(1)</th>
<th align="left">(2)</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">Treat &#xd7; Post</td>
<td align="left">&#x2212;1.738</td>
<td align="left">&#x2212;2.665&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left"/>
<td align="left">(1.102)</td>
<td align="left">(1.062)</td>
</tr>
<tr>
<td align="left">Weather</td>
<td align="left">Y</td>
<td align="left">Y</td>
</tr>
<tr>
<td align="left">City FE</td>
<td align="left">Y</td>
<td align="left">Y</td>
</tr>
<tr>
<td align="left">Date FE</td>
<td align="left">Y</td>
<td align="left">Y</td>
</tr>
<tr>
<td align="left">N</td>
<td align="left">397,322</td>
<td align="left">398,445</td>
</tr>
<tr>
<td align="left">
<italic>R</italic>
<sup>2</sup>
</td>
<td align="left">.508</td>
<td align="left">.512</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>Notes: Dependent variable is air quality index (<italic>AQI</italic>). &#x2a;&#x2a;<italic>p</italic> &#x3c; .05.</p>
</fn>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="s4-5-3">
<title>4.5.3 The level of marketization and legalization</title>
<p>The effect of the reform on air pollution may differ across cities with different levels of marketization and legalization. Both the level of marketization and legalization are influential on government actions, including environmental governance and emissions information disclosure (<xref ref-type="bibr" rid="B52">Kong and Zhu, 2022</xref>). Following <xref ref-type="bibr" rid="B52">Kong and Zhu (2022)</xref>, we apply the NERI index to test the influence of marketization and legalization. We use the score for product market and factor market to measure marketization. Similarly, the level of legalization is measured using the index of intermediary organizations and law development.</p>
<p>Column 1 and 3 of <xref ref-type="table" rid="T10">Table 10</xref> report the relationship between the reform and air pollution in regions with higher levels of marketization. The coefficients on <italic>Treat &#xd7; Post</italic> are insignificant. Column 2 and 4 present the results for those below the median value. Column 5 and 6 displays the results for regions with different levels of legalization. In column 5, the coefficient is insignificant. While the coefficient is significantly negative in column 6. The results in <xref ref-type="table" rid="T10">Table 10</xref> show that the reform on air pollution is more significant in regions with lower levels of marketization and legalization. In the future enforcement of the EPTL, regions with lower levels of marketization and legalization ought to be given extra attention.</p>
<table-wrap id="T10" position="float">
<label>TABLE 10</label>
<caption>
<p>The level of marketization and legalization.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th rowspan="3" align="left"/>
<th colspan="2" align="left">Product market</th>
<th colspan="2" align="left">Factor market</th>
<th colspan="2" align="left">Legalization</th>
</tr>
<tr>
<th align="left">High</th>
<th align="left">Low</th>
<th align="left">High</th>
<th align="left">Low</th>
<th align="left">High</th>
<th align="left">Low</th>
</tr>
<tr>
<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>
</thead>
<tbody valign="top">
<tr>
<td align="left">Treat &#xd7; Post</td>
<td align="left">.323</td>
<td align="left">&#x2212;5.673&#x2a;&#x2a;&#x2a;</td>
<td align="left">.452</td>
<td align="left">&#x2212;4.570&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;.979</td>
<td align="left">&#x2212;3.068&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left"/>
<td align="left">(.853)</td>
<td align="left">(1.516)</td>
<td align="left">(.988)</td>
<td align="left">(1.186)</td>
<td align="left">(.887)</td>
<td align="left">(1.291)</td>
</tr>
<tr>
<td align="left">Weather</td>
<td align="left">Y</td>
<td align="left">Y</td>
<td align="left">Y</td>
<td align="left">Y</td>
<td align="left">Y</td>
<td align="left">Y</td>
</tr>
<tr>
<td align="left">City FE</td>
<td align="left">Y</td>
<td align="left">Y</td>
<td align="left">Y</td>
<td align="left">Y</td>
<td align="left">Y</td>
<td align="left">Y</td>
</tr>
<tr>
<td align="left">Date FE</td>
<td align="left">Y</td>
<td align="left">Y</td>
<td align="left">Y</td>
<td align="left">Y</td>
<td align="left">Y</td>
<td align="left">Y</td>
</tr>
<tr>
<td align="left">N</td>
<td align="left">474,637</td>
<td align="left">352,279</td>
<td align="left">381,672</td>
<td align="left">445,244</td>
<td align="left">389,224</td>
<td align="left">437,692</td>
</tr>
<tr>
<td align="left">
<italic>R</italic>
<sup>2</sup>
</td>
<td align="left">.570</td>
<td align="left">.501</td>
<td align="left">.549</td>
<td align="left">.497</td>
<td align="left">.566</td>
<td align="left">.501</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>Notes: Dependent variable is air quality index (<italic>AQI</italic>). Scores for product market and factor market are used to measure marketization according to the NERI index. Legalization is measured using the index of intermediary organizations and law development. &#x2a;&#x2a;<italic>p</italic> &#x3c; .05, &#x2a;&#x2a;&#x2a;<italic>p</italic> &#x3c; .01.</p>
</fn>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="s4-5-4">
<title>4.5.4 Public participation</title>
<p>Public participation can incentivize governments to improve the local environment, and make them pay more attention to pollution control as well. For example, when residents&#x2019; complaints on environment issues increase, the government will be more committed to environmental management and green investments (<xref ref-type="bibr" rid="B30">Dasgupta et al., 2001</xref>; <xref ref-type="bibr" rid="B60">Liao and Shi, 2018</xref>). However, <xref ref-type="bibr" rid="B85">Zhang et al. (2019)</xref> argue that citizen complaints are unlikely to affect pollution. Therefore, we employ the number of reports about environmental problems as a measure for public participation (<xref ref-type="bibr" rid="B60">Liao and Shi, 2018</xref>). Data on the number of environment related reports is obtained from the CMEE.</p>
<p>Column 1 of <xref ref-type="table" rid="T11">Table 11</xref> reports the result for provinces in which the number of reports is above the median value. The coefficient of <italic>Treat &#xd7; Post</italic> is negative and significant. The coefficient is insignificant in column 2.</p>
<table-wrap id="T11" position="float">
<label>TABLE 11</label>
<caption>
<p>The effect of public participation.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th rowspan="2" align="left"/>
<th align="left">High</th>
<th align="left">Low</th>
</tr>
<tr>
<th align="left">(1)</th>
<th align="left">(2)</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">Treat &#xd7; Post</td>
<td align="left">&#x2212;3.656&#x2a;&#x2a;&#x2a;</td>
<td align="left">.658</td>
</tr>
<tr>
<td align="left"/>
<td align="left">(.956)</td>
<td align="left">(1.117)</td>
</tr>
<tr>
<td align="left">Weather</td>
<td align="left">Y</td>
<td align="left">Y</td>
</tr>
<tr>
<td align="left">City FE</td>
<td align="left">Y</td>
<td align="left">Y</td>
</tr>
<tr>
<td align="left">Date FE</td>
<td align="left">Y</td>
<td align="left">Y</td>
</tr>
<tr>
<td align="left">N</td>
<td align="left">424,435</td>
<td align="left">402,481</td>
</tr>
<tr>
<td align="left">
<italic>R</italic>
<sup>2</sup>
</td>
<td align="left">.561</td>
<td align="left">.483</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>Notes: Dependent variable is air quality index (<italic>AQI</italic>). &#x2a;&#x2a;&#x2a;<italic>p</italic> &#x3c; .01.</p>
</fn>
</table-wrap-foot>
</table-wrap>
</sec>
</sec>
<sec id="s4-6">
<title>4.6 Robustness tests</title>
<sec id="s4-6-1">
<title>4.6.1 Parallel trend test</title>
<p>The DID method requires that treatment group and control group have similar trends before the reform. We employ the following model for parallel trend test to confirm the robustness of the results.<disp-formula id="e4">
<mml:math id="m4">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>A</mml:mi>
<mml:mi>Q</mml:mi>
<mml:mi>I</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>j</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mi>&#x3b2;</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:mrow>
<mml:munderover>
<mml:mstyle displaystyle="true">
<mml:mo>&#x2211;</mml:mo>
</mml:mstyle>
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>2015</mml:mn>
</mml:mrow>
<mml:mn>2021</mml:mn>
</mml:munderover>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b2;</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
<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:mrow>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>&#xd7;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>Y</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>r</mml:mi>
</mml:mrow>
<mml:mi>t</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mrow>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3b2;</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:msub>
<mml:mi>W</mml:mi>
<mml:mrow>
<mml:mi>j</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3b8;</mml:mi>
<mml:mrow>
<mml:mi>j</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3b5;</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>j</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
<label>(4)</label>
</disp-formula>
</p>
<p>
<italic>Year</italic>
<sub>
<italic>t</italic>
</sub> is an indicator variable equal to one if observations belong to year&#xa0;t, and zero otherwise. The results presented in <xref ref-type="fig" rid="F1">Figure 1</xref> indicate that both the treatment and control groups was in the same trend before the reform. In addition, <xref ref-type="fig" rid="F1">Figure 1</xref> displays that air pollution in the treatment group decreases significantly in the third and fourth years after the reform. This indicates a lagged effect of the reform. For polluting firms, both adjusting output levels and adopting clean technologies are relatively time-consuming.</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>Parallel trend test.</p>
</caption>
<graphic xlink:href="fenvs-10-1113383-g001.tif"/>
</fig>
</sec>
<sec id="s4-6-2">
<title>4.6.2 Additional robustness tests</title>
<p>Following <xref ref-type="bibr" rid="B17">Cai et al. (2016)</xref>, we randomly assign 14 provinces as the treatment group and apply Eq. <xref ref-type="disp-formula" rid="e1">1</xref> for estimation. We conduct the estimation for 500 times. The distribution of the coefficients and the corresponding <italic>p</italic>-values are shown in <xref ref-type="fig" rid="F2">Figure 2</xref>. The coefficients center around zero and most of the associated <italic>p</italic>-values are above .1.</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>Kernel density of 500 estimates. Notes: <italic>X</italic>-axis shows the coefficients of <italic>Treat</italic> &#xd7; <italic>Post</italic>. The curve presents the kernel density distribution of estimates. The dots are the corresponding <italic>p</italic>-values. The red line is the coefficient of <italic>Treat</italic> &#xd7; <italic>Post</italic> in column 4 of <xref ref-type="table" rid="T2">Table 2</xref>.</p>
</caption>
<graphic xlink:href="fenvs-10-1113383-g002.tif"/>
</fig>
<p>Following <xref ref-type="bibr" rid="B53">La Ferrara et al. (2012)</xref> and <xref ref-type="bibr" rid="B69">Polyakov et al. (2022)</xref>, we also conduct placebo tests as follows. We drop observations for 2018 and after, and use three indicators for placebo tests. The indicators are <italic>Post_6_months</italic>, <italic>Post_1_year</italic> and <italic>Post_2_years</italic>. <italic>Post_2_years</italic> equals one for 2016 and 2017. <italic>Post_6_months</italic> and <italic>Post_1_year</italic> are defined similarly. <xref ref-type="table" rid="T12">Table 12</xref> shows that our results are not replicable in the placebo tests.</p>
<table-wrap id="T12" position="float">
<label>TABLE 12</label>
<caption>
<p>Placebo tests.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th rowspan="2" align="left"/>
<th colspan="3" align="left">AQI</th>
</tr>
<tr>
<th align="left">(1)</th>
<th align="left">(2)</th>
<th align="left">(3)</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">Treat &#x00D7; Post_6_months</td>
<td align="left">&#x2212;.300</td>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left"/>
<td align="left">(.982)</td>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left">Treat &#x00D7; Post_1_year</td>
<td align="left"/>
<td align="left">&#x2212;.400</td>
<td align="left"/>
</tr>
<tr>
<td align="left"/>
<td align="left"/>
<td align="left">(.827)</td>
<td align="left"/>
</tr>
<tr>
<td align="left">Treat &#x00D7; Post_2_years</td>
<td align="left"/>
<td align="left"/>
<td align="left">.444</td>
</tr>
<tr>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left">(.859)</td>
</tr>
<tr>
<td align="left">Weather</td>
<td align="left">Y</td>
<td align="left">Y</td>
<td align="left">Y</td>
</tr>
<tr>
<td align="left">City FE</td>
<td align="left">Y</td>
<td align="left">Y</td>
<td align="left">Y</td>
</tr>
<tr>
<td align="left">Date FE</td>
<td align="left">Y</td>
<td align="left">Y</td>
<td align="left">Y</td>
</tr>
<tr>
<td align="left">Observations</td>
<td align="left">351,361</td>
<td align="left">351,361</td>
<td align="left">351,361</td>
</tr>
<tr>
<td align="left">R-squared</td>
<td align="left">.504</td>
<td align="left">.504</td>
<td align="left">.504</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>Notes: Observations for 2018 and after are dropped from the sample. <italic>Treat_2_years</italic> equals one for 2016 and 2017. <italic>Treat_6_months</italic> and <italic>Treat_1_year</italic> are defined similarly.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>Environmental quality is subject to stricter monitoring for Beijing, Shanghai, Tianjin and Chongqing, which are under direct jurisdiction of China&#x2019;s central government. In addition, vice-provincial cities receive more attention from the central government because of their developed economy and population size. Vice-provincial cities thus have stronger incentive to reduce emissions, even without the reform. To address the concern that the results are driven by these cities, we remove the cities and use Eq. <xref ref-type="disp-formula" rid="e1">1</xref> for estimation. The results are reported in column 1 and 2 of <xref ref-type="table" rid="T13">Table 13</xref>.</p>
<table-wrap id="T13" position="float">
<label>TABLE 13</label>
<caption>
<p>Additional robustness tests.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th rowspan="2" align="left"/>
<th colspan="2" align="left">Reduced sample</th>
<th colspan="3" align="left">Contemporaneous policies</th>
<th align="left">PM<sub>2.5</sub>
</th>
<th align="left">PM<sub>10</sub>
</th>
</tr>
<tr>
<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>
<th align="left">(7)</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">Treat &#xd7; Post</td>
<td align="left">&#x2212;2.217&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;2.391&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;2.627&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;1.808&#x2a;&#x2a;</td>
<td align="left">&#x2212;2.787&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;2.125&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;4.360&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left"/>
<td align="left">(.779)</td>
<td align="left">(.795)</td>
<td align="left">(.784)</td>
<td align="left">(.839)</td>
<td align="left">(.781)</td>
<td align="left">(0.693)</td>
<td align="left">(1.123)</td>
</tr>
<tr>
<td align="left">Weather</td>
<td align="left">Y</td>
<td align="left">Y</td>
<td align="left">Y</td>
<td align="left">Y</td>
<td align="left">Y</td>
<td align="left">Y</td>
<td align="left">Y</td>
</tr>
<tr>
<td align="left">City FE</td>
<td align="left">Y</td>
<td align="left">Y</td>
<td align="left">Y</td>
<td align="left">Y</td>
<td align="left">Y</td>
<td align="left">Y</td>
<td align="left">Y</td>
</tr>
<tr>
<td align="left">Date FE</td>
<td align="left">Y</td>
<td align="left">Y</td>
<td align="left">Y</td>
<td align="left">Y</td>
<td align="left">Y</td>
<td align="left">Y</td>
<td align="left">Y</td>
</tr>
<tr>
<td align="left">N</td>
<td align="left">816,877</td>
<td align="left">781,723</td>
<td align="left">809,001</td>
<td align="left">678,762</td>
<td align="left">784,248</td>
<td align="left">826,873</td>
<td align="left">826,703</td>
</tr>
<tr>
<td align="left">
<italic>R</italic>
<sup>2</sup>
</td>
<td align="left">.509</td>
<td align="left">.508</td>
<td align="left">.508</td>
<td align="left">.513</td>
<td align="left">.507</td>
<td align="left">.514</td>
<td align="left">.515</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>Notes: Dependent variable is air quality index (<italic>AQI</italic>). In column 1, Beijing, Shanghai, Tianjin and Chongqing are excluded. In column 2, observations for vice-provincial cities are dropped. In column 3 to 5 cities involved in the Central Environmental Inspection, the emission trading system and the carbon emission trading system are excluded in sequence. &#x2a;&#x2a;<italic>p</italic> &#x3c; .05, &#x2a;&#x2a;&#x2a;<italic>p</italic> &#x3c; .01.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>Another concern is that our results could rely on contemporaneous policies. We consider other policies that may affect air pollution. Therefore, we exclude cities involved in the Central Environmental Inspection, the emission trading system and the carbon emission trading system. Results are presented in column 3 to 5 in <xref ref-type="table" rid="T13">Table 13</xref>. The coefficients remain significant.</p>
<p>Finally, we apply alternative independent variables. We replace <italic>AQI</italic> by <italic>PM</italic>
<sub>
<italic>2.5</italic>
</sub> and <italic>PM</italic>
<sub>
<italic>10</italic>
</sub>, and estimate Eq. <xref ref-type="disp-formula" rid="e1">1</xref>. <italic>PM</italic>
<sub>
<italic>2.5</italic>
</sub> and <italic>PM</italic>
<sub>
<italic>10</italic>
</sub> are measures of particulate matter. Column 6 and 7 of <xref ref-type="table" rid="T13">Table 13</xref> report the results. The coefficients of <italic>Treat &#xd7; Post</italic> are all negative and significant.</p>
</sec>
</sec>
</sec>
<sec id="s5">
<title>5 Conclusion and discussion</title>
<p>This paper investigates whether the environmental tax reform in China can reduce air pollution, using detailed data on air pollution and weather variables. We find evidence that the reform has a significant effect on air quality improvement. We further find that, due to the effect of tax enforcement on emission costs, the reform is more effective in regions with stricter tax enforcement. In addition, we also find that the effect of the reform is more significant in cities with lower fiscal stress and higher initial pollution levels. We also find that the reform exhibits a number of heterogeneous features. A series of robustness checks also confirm our results.</p>
<p>Our results show that, on the whole, the reform is beneficial for improving air quality, and that a number of factors can vary the effectiveness. A growing body of research has shown that environmental pollution can not only result in severe health problems, such as cardiovascular and respiratory diseases, but can also cause loss of labor productivity, cognitive decline, and mental health impairment (e.g., <xref ref-type="bibr" rid="B73">Seaton et al., 1995</xref>; <xref ref-type="bibr" rid="B44">Guan et al., 2016</xref>; <xref ref-type="bibr" rid="B88">Zhang et al., 2017</xref>; <xref ref-type="bibr" rid="B87">Zhang et al., 2018</xref>). In other words, environmental pollution can reduce social welfare. This study shows that the environmental tax reform is able to improve environmental quality and can thus enhance social welfare.</p>
<p>Existing studies also suggest that numerous factors can vary the effectiveness of environmental taxes, for instance, industrial structure (<xref ref-type="bibr" rid="B47">He et al., 2021</xref>; <xref ref-type="bibr" rid="B86">Zhang et al., 2022</xref>) and trade liberalization (<xref ref-type="bibr" rid="B32">Duan et al., 2021</xref>). This paper also finds that the effectiveness of the environmental tax reform can be affected by external factors. Our findings are consistent with the existing literature. Building on the existing literature, this paper contributes to literature regarding factors that influence the effectiveness of environmental taxes. We find that the level of economic development, tax competition, and environmental regulation all affect the effectiveness of environmental taxes. Hence, in the implementation of the EPTL, factors mentioned in this study ought to be taken into account, so as to determine the priorities of the EPTL. This paper contributes to literature on environmental taxes, and is beneficial for a more accurate assessment of China&#x2019;s environmental tax reform as well.</p>
<p>The findings are also instructive for policymakers. First, the findings of this paper suggest that when implementing environmental taxes, policymakers ought to take local tax enforcement and local fiscal stress into consideration, so that the taxes can be implemented effectively. Second, cooperation between environmental and taxation authorities ought to be strengthened. Our results show that environmental regulation can also vary the effectiveness of environmental taxes. Therefore, cooperation from environmental authorities is needed to enhance the effectiveness of environmental taxes. Third, we find that both economic development and tax competition can affect the effectiveness of the reform. Therefore, for future studies on environmental taxes, regional heterogeneity should be considered. This can contribute to a more accurate assessment of the effects of environmental taxes. Fourth, for provinces that have raised the tax rates, air quality improved after the reform. Therefore, for the rest of the provinces, applying higher tax rates can also be beneficial for pollution abatement.</p>
<p>Although our analysis focuses on air pollution in China, the findings can be generalized to countries faced with serious pollution issues, such as India and Bangladesh. This paper can thus provide lessons for these countries regarding pollution abatement. Also, this paper provides evidence that the reform can improve air quality. However, due to data limitations, how the reform influences water pollution, solid waste emissions and industrial noise pollution remains to be studied. In addition, existing studies suggest that environmental taxes can increase the emission costs, and induce firms to introduce cleaner production technologies and participate in R&#x26;D activities. This may further influence firms&#x2019; business decisions, such as compensation allocation and human resource policies. Future studies can start with firm behaviors, and explore the effects of environmental taxes.</p>
</sec>
</body>
<back>
<sec sec-type="data-availability" id="s6">
<title>Data availability statement</title>
<p>The raw data supporting the conclusion of this article will be made available by the authors, without undue reservation.</p>
</sec>
<sec id="s7">
<title>Author contributions</title>
<p>WT: methodology, software, data curation, investigation, and writing&#x2013;original draft. XY: conceptualization, investigation, supervision, writing&#x2013;review, and editing.</p>
</sec>
<sec id="s8">
<title>Funding</title>
<p>This work was supported by the Hubei Provincial Department of Education (21Q214).</p>
</sec>
<sec sec-type="COI-statement" id="s9">
<title>Conflict of interest</title>
<p>The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec sec-type="disclaimer" id="s10">
<title>Publisher&#x2019;s note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
<fn-group>
<fn id="fn1">
<label>1</label>
<p>The provinces are Beijing, Tianjin, Hebei, Jiangsu, Shandong, Henan, Sichuan, Chongqing, Hunan, Hainan, Guizhou, Guangdong, Guangxi and Shanxi.</p>
</fn>
<fn id="fn2">
<label>2</label>
<p>The provinces are Beijing, Tianjin, Hebei, Jiangsu, Shandong, Henan, Sichuan, Chongqing, Hunan, Hainan, Guizhou, Guangdong, Guangxi and Shanxi.</p>
</fn>
<fn id="fn3">
<label>3</label>
<p>Tax competition is the phenomenon that local governments compete with each other for tax sources.</p>
</fn>
</fn-group>
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<app-group>
<app id="app1">
<title>Appendix</title>
<table-wrap id="TA1" position="float">
<label>TABLE A1</label>
<caption>
<p>Variable definitions.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left"/>
<th align="left">Definition</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">Dependent variable</td>
<td align="left"/>
</tr>
<tr>
<td align="left">&#x2003;AQI</td>
<td align="left">Air quality index</td>
</tr>
<tr>
<td align="left">Independent variables</td>
<td align="left"/>
</tr>
<tr>
<td align="left">&#x2003;Treat</td>
<td align="left">A variable equal to one for provinces have raised tax rates</td>
</tr>
<tr>
<td align="left">&#x2003;Post</td>
<td align="left">A variable equal to one for years in 2018&#x2013;2021</td>
</tr>
<tr>
<td align="left">&#x2003;TE</td>
<td align="left">Expected tax burden minus actual tax burden</td>
</tr>
<tr>
<td align="left">&#x2003;FS</td>
<td align="left">(Fiscal expenditure - Fiscal revenue)/Fiscal revenue</td>
</tr>
<tr>
<td align="left">&#x2003;FS1</td>
<td align="left">(Fiscal expenditure - Fiscal revenue)/GDP</td>
</tr>
<tr>
<td align="left">&#x2003;Initial</td>
<td align="left">The average AQI for city i in 2017</td>
</tr>
<tr>
<td align="left">Weather controls</td>
<td align="left"/>
</tr>
<tr>
<td align="left">&#x2003;Precipitation</td>
<td align="left">Daily mean precipitation (mm)</td>
</tr>
<tr>
<td align="left">&#x2003;Temperature</td>
<td align="left">Daily mean temperature (&#xb0;C)</td>
</tr>
<tr>
<td align="left">&#x2003;Wind speed</td>
<td align="left">Mean wind speed (m/s)</td>
</tr>
<tr>
<td align="left">&#x2003;Wind direction</td>
<td align="left">Mean wind direction (degree), measured in clockwise angular degrees</td>
</tr>
<tr>
<td align="left">&#x2003;Dew point</td>
<td align="left">Mean dew point (&#xb0;C)</td>
</tr>
<tr>
<td align="left">&#x2003;Sea-level pressure</td>
<td align="left">Mean sea-level pressure (hPa)</td>
</tr>
</tbody>
</table>
</table-wrap>
</app>
</app-group>
</back>
</article>