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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">1075138</article-id>
<article-id pub-id-type="doi">10.3389/fenvs.2022.1075138</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>Evaluating the impact of free trade zone construction on urban air pollution in China&#x2014;Empirical evidence from a spatial differences-in-differences approach</article-title>
<alt-title alt-title-type="left-running-head">Lou et al.</alt-title>
<alt-title alt-title-type="right-running-head">
<ext-link ext-link-type="uri" xlink:href="https://doi.org/10.3389/fenvs.2022.1075138">10.3389/fenvs.2022.1075138</ext-link>
</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Lou</surname>
<given-names>Bailu</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="fn" rid="fn1">
<sup>&#x2020;</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1926492/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Xie</surname>
<given-names>Baiwei</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="fn" rid="fn1">
<sup>&#x2020;</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1927389/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Liu</surname>
<given-names>Peng</given-names>
</name>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
<xref ref-type="fn" rid="fn1">
<sup>&#x2020;</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2023633/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Zhu</surname>
<given-names>Mingzi</given-names>
</name>
<xref ref-type="aff" rid="aff4">
<sup>4</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2154313/overview"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Xu</surname>
<given-names>Wangzi</given-names>
</name>
<xref ref-type="aff" rid="aff5">
<sup>5</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1459858/overview"/>
</contrib>
</contrib-group>
<aff id="aff1">
<sup>1</sup>
<institution>Queen&#x2019;s Management School</institution>, <institution>Queen&#x2019;s University Belfast</institution>, <addr-line>Belfast</addr-line>, <country>United Kingdom</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>School of Business</institution>, <institution>Gachon University</institution>, <addr-line>Seongnam</addr-line>, <country>South Korea</country>
</aff>
<aff id="aff3">
<sup>3</sup>
<institution>Program of Environmental Science</institution>, <institution>Beijing Normal University-Hong Kong Baptist University United International College</institution>, <addr-line>Zhuhai</addr-line>, <country>China</country>
</aff>
<aff id="aff4">
<sup>4</sup>
<institution>School of Big Data and Statistics</institution>, <institution>Anhui University</institution>, <addr-line>Hefei</addr-line>, <addr-line>Anhui</addr-line>, <country>China</country>
</aff>
<aff id="aff5">
<sup>5</sup>
<institution>School of Public Health</institution>, <institution>Xiamen University</institution>, <addr-line>Xiamen</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/1229319/overview">Lin Zhang</ext-link>, City University of Hong Kong, 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/1022682/overview">Luigi Aldieri</ext-link>, University of Salerno, Italy</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1851332/overview">Chenyang Yu</ext-link>, Guangzhou University, China</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Wangzi Xu, <email>xuwangzi1016@163.com</email>
</corresp>
<fn fn-type="equal" id="fn1">
<label>
<sup>&#x2020;</sup>
</label>
<p>These authors have contributed equally to this work and share first authorship</p>
</fn>
<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>11</day>
<month>01</month>
<year>2023</year>
</pub-date>
<pub-date pub-type="collection">
<year>2022</year>
</pub-date>
<volume>10</volume>
<elocation-id>1075138</elocation-id>
<history>
<date date-type="received">
<day>20</day>
<month>10</month>
<year>2022</year>
</date>
<date date-type="accepted">
<day>28</day>
<month>12</month>
<year>2022</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2023 Lou, Xie, Liu, Zhu and Xu.</copyright-statement>
<copyright-year>2023</copyright-year>
<copyright-holder>Lou, Xie, Liu, Zhu and Xu</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/">
<p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</p>
</license>
</permissions>
<abstract>
<p>The construction of China&#x2019;s Free Trade Zone (FTZ) is an important strategy for China&#x2019;s thorough deepening of opening up and achievement of long-term high-quality development. Based on the panel data of 283 prefecture-level and above cities in China from 2008&#x2013;2019, this paper adopts the methods of Spatial Differences-in-Differences (SDID), Spatial Differences-in-Differences-in-Differences (SDDD), and spatial intermediary effect test to empirically examine the impact and the spatial spillover of China&#x2019;s free trade zone on the environmental pollution of the pilot areas and its influencing mechanism. According to the findings of the study, the establishment of pilot free trade zones may suppress urban PM2.5 emissions by around 2.9 percent, and FTZs can also greatly enhance the air quality of neighboring cities. Further examination of the influencing mechanism reveals that the establishment of a FTZ inhibits PM2.5 pollution and has a significant positive spillover on PM2.5 reduction in surrounding cities by the following means: attracting more foreign direct investment; improving the industrial structure through increasing the proportion of tertiary industry; prompting the local government to strengthen environmental regulation as part of the FTZ&#x2019;s supporting policies; increasing the investment in science and technology innovation, developing scientific and technological level to achieve green production. The empirical results of this paper are still robust after a series of robustness tests when the explained variable is replaced by the traditional air pollution indicator industrial nitrogen oxide emissions, another sort of spatial matrix is introduced, the propensity score matching SDID (PSM-SDID) and placebo tests as well as winsorize method are carried out. Furthermore, the inhibitory effect of FTZs on air pollution is modified by changes in city size, geographic location and city type, according to heterogeneity analysis. Finally, this paper proposes feasible policy recommendations.</p>
</abstract>
<kwd-group>
<kwd>spatial differences-in-differences</kwd>
<kwd>spatial spillover</kwd>
<kwd>intermediary effect test</kwd>
<kwd>free trade zone</kwd>
<kwd>spatial differences-in-differences-in-differences</kwd>
<kwd>urban PM2.5 emission</kwd>
</kwd-group>
</article-meta>
</front>
<body>
<sec id="s1">
<title>1 Introduction</title>
<p>China&#x2019;s economy has grown miraculously during the decades of reform and opening up. Yet, environmental pollution caused by conventional enormous economic expansion in the early years of the opening up has become an incredibly significant issue. The most visible type of environmental contamination is air pollution. The average annual PM2.5 pollution level in Chinese cities across the country was greater than 30&#xa0;&#x3bc;g/m3, until 2019, there were still more than 100 cities with severe pollution ( &#x3e;35&#xa0;&#x3bc;g/m3). Air pollution not only seriously impedes the high-quality economic development, but also has a substantial adverse impact on the physical and mental health of Chinese residents (<xref ref-type="bibr" rid="B21">Ingole et al., 2022</xref>). If air pollution is not controlled, PM2.5 pollution might cost China 2.0% of GDP, 210 billion Yuan in health spending, and one trillion Yuan in Value of Statistical Lives (VSL) by 2030. (<xref ref-type="bibr" rid="B47">Xie et al., 2019</xref>). When pollution levels reach a particular level, the government will refuse bribes and impose tighter environmental rules (<xref ref-type="bibr" rid="B41">Pommeret et al., 106048</xref>). In light of this backdrop, the Chinese government has launched a series of policy initiatives to reduce pollution and improve urban population health (<xref ref-type="bibr" rid="B49">Xu et al., 2022</xref>). One of them is the Free Trade Zone policy examined in this research. Although FTZs are established to attract investment to drive regional trade liberalization and economic development, China&#x2019;s FTZs are not just about expanding openness to the outside world and attracting foreign investment. FTZs attract advanced industries and technologies in large numbers through preferential tariff policies to achieve industrial transformation and upgrading, and foreign high-tech enterprises bring industrial structure optimization to reduce energy use and thus pollution; and FTZs bring market liberalization, and make the mismatch of environmental resource factor allocation continue to be optimized, thereby reducing environmental pollution. So, will China&#x2019;s FTZ affect China&#x2019;s environmental quality in the process of promoting trade and investment liberalization to achieve high-quality economic development, and will FTZ reverse the traditional development model and improve China&#x2019;s environmental quality? Based on these doubts, this paper investigates the impact of FTZ establishment on urban air pollution to provide a reference for decision making to promote China&#x2019;s green economic development.</p>
<p>China&#x2019;s Pilot Free Trade Zone refers to a multi-functional special economic zone formed outside the country&#x2019;s customs, with preferential taxation and special customs supervision policies as the primary method of achieving trade liberalization and facilitation. The benefits of the pilot free trade zone include no customs involvement in the import, production, and re-export of commodities, unfettered entry and exit for foreign ships, and tax-free import of foreign goods. But at the same time, it will also bring about problems such as distortion of commodity flow and tax avoidance. Under the background of stagnant WTO multilateral negotiations, the surging trend of anti-globalization and trade protectionism, the regional trade liberalization led by free trade areas has developed rapidly (<xref ref-type="bibr" rid="B58">Zheng et al., 2014</xref>). In China, after the establishment of the China (Shanghai) Pilot Free Trade Zone in 2013, 21 FTZs have been established till 2021. The specific establishment time and locations are given in <xref ref-type="table" rid="T1">Table 1</xref>.</p>
<table-wrap id="T1" position="float">
<label>TABLE 1</label>
<caption>
<p>Summary of FTZs.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">Implement time</th>
<th align="center">China pilot free trade zone (provincial administrative units)</th>
<th align="center">Cities included</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">27 9 2013</td>
<td align="center">China (Shanghai) Pilot Free Trade Zone</td>
<td align="center">Shanghai</td>
</tr>
<tr>
<td align="center">20.42015.</td>
<td align="center">China (Guangdong, Tianjin, Fujian) Pilot Free Trade Zone</td>
<td align="center">Guangzhou, Shenzhen, Zhuhai, Fuzhou, Xiamen, Tianjin</td>
</tr>
<tr>
<td align="center">31.3 2017</td>
<td align="center">China (Liaoning, Zhejiang, Henan, Hubei, Chongqing, Sichuan, Shaanxi) Pilot Free Trade Zone</td>
<td align="center">Dalian, Shenyang, Yingkou, Zhoushan, Ningbo, Hangzhou, Jinhua, Zhenzhou, Kaifen-g, Luoyang, Wuhan, Xiangyang, Yichang, Chongqing, Chengdu, Luzhou, Xian</td>
</tr>
<tr>
<td align="center">16.10.2018</td>
<td align="center">China (Hainan) Pilot Free Trade Zone</td>
<td align="center">Hainan island</td>
</tr>
<tr>
<td align="center">2.8 2019</td>
<td align="center">China (Shandong, Jiangsu, Guangxi, Hebei, Heilongjiang, Yunnan) Pilot Free Trade Zone</td>
<td align="center">Qingdao, Yantai, Nanjing, Suzhou, Lianyungang, Nanning, Qinzhou Port, Chongzuo, Baoding, Shijiazhuang, Tangshan, Langfang, Harbi-n, Heihe, Suifenhe, Kunming, Honghe, Dehong</td>
</tr>
<tr>
<td align="center">21.9 2020</td>
<td align="center">China (Beijing, Hunan, Anhui) Pilot Free Trade Zone</td>
<td align="center">Beijing, Changsha, Yueyang, Chenzhou, Hefei, Bengbu</td>
</tr>
</tbody>
</table>
</table-wrap>
<table-wrap id="T2" position="float">
<label>TABLE 2</label>
<caption>
<p>Descriptive statistics.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">Variables</th>
<th align="center">Units</th>
<th align="center">Observation</th>
<th align="center">Mean</th>
<th align="center">Std</th>
<th align="center">Min</th>
<th align="center">Max</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">PM2.5</td>
<td align="center">&#x3bc;g/m<sup>3</sup>
</td>
<td align="center">3,396</td>
<td align="center">3.750</td>
<td align="center">.335</td>
<td align="center">2.591</td>
<td align="center">4.690</td>
</tr>
<tr>
<td align="center">NOX</td>
<td align="center">Ton</td>
<td align="center">3,396</td>
<td align="center">10.193</td>
<td align="center">1.256</td>
<td align="center">.693</td>
<td align="center">13.349</td>
</tr>
<tr>
<td align="center">FTZ</td>
<td align="center">Dummy</td>
<td align="center">3,396</td>
<td align="center">.026</td>
<td align="center">.159</td>
<td align="center">0</td>
<td align="center">1</td>
</tr>
<tr>
<td align="center">PGDP</td>
<td align="center">Yuan/Person</td>
<td align="center">3,396</td>
<td align="center">10.458</td>
<td align="center">.794</td>
<td align="center">7.537</td>
<td align="center">13.185</td>
</tr>
<tr>
<td align="center">IDS</td>
<td align="center">Ratio</td>
<td align="center">3,396</td>
<td align="center">1.356</td>
<td align="center">.931</td>
<td align="center">.193</td>
<td align="center">37.592</td>
</tr>
<tr>
<td align="center">PD</td>
<td align="center">10<sup>3</sup>person/km<sup>2</sup>
</td>
<td align="center">3,396</td>
<td align="center">.437</td>
<td align="center">.363</td>
<td align="center">.005</td>
<td align="center">7.787</td>
</tr>
<tr>
<td align="center">FDI</td>
<td align="center">Dollars</td>
<td align="center">3,396</td>
<td align="center">9.853</td>
<td align="center">1.978</td>
<td align="center">1.099</td>
<td align="center">16.830</td>
</tr>
<tr>
<td align="center">SAE</td>
<td align="center">Yuan</td>
<td align="center">3,396</td>
<td align="center">12.980</td>
<td align="center">.886</td>
<td align="center">9.350</td>
<td align="center">16.569</td>
</tr>
<tr>
<td align="center">GI</td>
<td align="center">Ratio</td>
<td align="center">3,396</td>
<td align="center">.223</td>
<td align="center">.231</td>
<td align="center">.012</td>
<td align="center">6.041</td>
</tr>
<tr>
<td align="center">ER</td>
<td align="center">%</td>
<td align="center">3,396</td>
<td align="center">79.633</td>
<td align="center">22.846</td>
<td align="center">.240</td>
<td align="center">100.000</td>
</tr>
<tr>
<td align="center">RT</td>
<td align="center">Person</td>
<td align="center">3,396</td>
<td align="center">8.454</td>
<td align="center">1.026</td>
<td align="center">2.197</td>
<td align="center">12.566</td>
</tr>
<tr>
<td align="center">INT</td>
<td align="center">Housholds</td>
<td align="center">3,396</td>
<td align="center">3.894</td>
<td align="center">1.064</td>
<td align="center">-3.744</td>
<td align="center">8.551</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>The role of trade openness policies on the environment has been controversial, <xref ref-type="bibr" rid="B39">Managi et al. (2009</xref>) revealed that the opening of trade leads to the increase of CO<sub>2</sub> and SO<sub>2</sub> emissions in less developed countries, <xref ref-type="bibr" rid="B36">Lin (2017</xref>) also concluded that trade openness in China was detrimental to the environment. This is because the open countries adopt loose environmental investment standards to attract more foreign companies and pollution intensive goods, and this theory is so-called the pollution haven hypothesis (<xref ref-type="bibr" rid="B11">Cole, 2004</xref>). However, Frankel et al. (2005) (<xref ref-type="bibr" rid="B22">Jeffrey and Rose, 2005</xref>); <xref ref-type="bibr" rid="B1">Antweiler et al. (2001</xref>) believed that trade openness was good for the environment. As the largest developing country in the world, is FTZ, the new trade openness policy in China, good or harmful for the environment? The answers to the above questions might not only help promote China to form a higher level of opening-up pattern, but also provide decision-making reference for promoting high-quality green development of China&#x2019;s economy.</p>
</sec>
<sec id="s2">
<title>2 Literature review and hypothesis development</title>
<p>At present, there are few literature on the construction of China&#x2019;s free trade zones, and most of the existing literature discuss the impact of FTZs on economic development. Eaton (1985) (<xref ref-type="bibr" rid="B15">Eaton, 1985</xref>) believed that the foreign trade zone has significantly promoted the development of regional trade and innovation, <xref ref-type="bibr" rid="B7">Chen et al., (2018)</xref> (<xref ref-type="bibr" rid="B7">Chen et al., 2018</xref>)also believed that FTZ is of great significance to China&#x2019;s opening up and sustainable economic development. <xref ref-type="bibr" rid="B38">Liu et al,. (2021)</xref> used super SBM and other models to get the results of the promotion of Free Trade Zone on port efficiency. (<xref ref-type="bibr" rid="B33">Li et al., 2021</xref>) used the panel data of Chinese port listed companies from 2010 to 2016, and adopted DID to study the impact of free trade zone policies on the performance of port listed companies, then concluded that free trade zones can promote the continuous growth of port listed companies&#x2019; development performance. Apart from the economic and development effects of FTZs, Ana and Dana (2006) (<xref ref-type="bibr" rid="B35">Liberato and Fennell, 2007</xref>) also used logistic regression to empirically prove the favorable impact of free trade zones on social security. <xref ref-type="bibr" rid="B23">Ji et al., (2015)</xref> (<xref ref-type="bibr" rid="B23">Ji et al., 2015</xref>) also found the boosting effect of the China Free Trade Zone on Hong Kong&#x2019;s tourism industry. <xref ref-type="bibr" rid="B9">Cheng et al., (2022)</xref> (<xref ref-type="bibr" rid="B9">CHENG et al., 2022</xref>) used provincial data from 2009 to 2017 to find that implementing free trade zone policies significantly narrowed China&#x2019;s income gap. In terms of the environmental effect of the FTZs, <xref ref-type="bibr" rid="B26">Jiang et al., (2021)</xref> (<xref ref-type="bibr" rid="B26">Jiang et al., 2021</xref>) used the synthetic control method to empirically prove that the establishment of Shanghai Free Trade Zone has an increasing effect on the development of green total factor productivity. Aloise and Macke(2017) (<xref ref-type="bibr" rid="B40">PedroAloise and Macke, 2017</xref>) proved the beneficial effect of the establishment of Manaus Free Trade Zone in Brazil on local green and sustainable development. However, <xref ref-type="bibr" rid="B61">Zhuo et al., (2021)</xref> (<xref ref-type="bibr" rid="B61">Zhuo et al., 143856</xref>) estimated the environmental welfare utility of the Guangdong Free Trade Zone and concluded that the Guangdong Free Trade Zone did not improve the environment. Spacial spillover is the specific property of air pollution, many articles regarding adopt spacial models to conduct the empirical research. <xref ref-type="bibr" rid="B18">Ge et al., (2022)</xref> (<xref ref-type="bibr" rid="B18">Ge et al., 2022</xref>) used the spatial Durbin model to study the impact of economic growth targets on CO<sub>2</sub> emissions. <xref ref-type="bibr" rid="B19">Han et al., (2022)</xref> (<xref ref-type="bibr" rid="B19">Han et al., 2022</xref>) used panel data from 282 prefecture level cities in China, and adopted spatial Durbin and STIRPAT models to study the impact of industrial agglomeration on nitrogen dioxide emissions. Thus, when it comes to air pollution, it is more proper using spatial models, and consider the spatial spillover effect like most scholars do (<xref ref-type="bibr" rid="B25">Jiang et al., 2022</xref>) instead of ordinary panel models.</p>
<p>First of all, the primary role of free trade zones is to attract foreign direct investment, the pilot free trade zone can significantly attract foreign-invested enterprises to enter the free trade zone (<xref ref-type="bibr" rid="B42">Qi et al., 2021</xref>), and the effect of foreign direct investment on air pollution reduction has been widely proven (<xref ref-type="bibr" rid="B45">Wang et al., 2022</xref>), foreign capital brings advanced technology and resources, promotes industrial transformation and technological upgrading, and thus reduces regional air pollution (<xref ref-type="bibr" rid="B10">Cheng et al., 2020</xref>). In addition the free trade area also has a significant knowledge spillover effect, which can drive the rise of regional education and science level (<xref ref-type="bibr" rid="B32">Li et al., 2020</xref>). Businessmen from all over the country and the world will be more willing to trade on the free trade zone (<xref ref-type="bibr" rid="B20">Hazari and Sgro, 1996</xref>), thus bringing business prosperity and leading the industrial structure tending to be the third industries, which inhibits the air pollution (<xref ref-type="bibr" rid="B59">Zhu et al., 2019</xref>). Cleaner production technologies brought about by foreign investment and preferential policies can significantly improve regional air quality (<xref ref-type="bibr" rid="B60">Zhu et al., 119515</xref>). At the same time, when implementing the FTZ policy, the government will introduce a series of supporting environmental regulations to better attract foreign investment, and environmental regulations can significantly curb pollution emissions (<xref ref-type="bibr" rid="B12">Cole et al., 2005</xref>)and also have spillover effects on air pollution in surrounding cities (<xref ref-type="bibr" rid="B44">Tong et al., 110998</xref>). In addition, the free trade zone policy can not only promote the regional innovation of the policy pilot, but also promote the innovation of the surrounding cities, this is because the preferential policies of the free trade zone attract a large number of enterprises to enter, which will intensify the competition among enterprises, and the competitive effect will drive the improvement of regional innovation ability, and drive the innovation improvement of surrounding areas through population flow and inter-city trade (<xref ref-type="bibr" rid="B37">Lin et al., 2021</xref>).</p>
<p>Based on the analysis above, we can propose the following assumption:</p>
<p>
<statement content-type="hypothesis" id="Hypothesis_1">
<label>Hypothesis 1</label>
<p>FTZ can reduce air pollution emissions.</p>
<p>This paper also intends to investigate the mechanism of FTZ on air pollution. In 2015, the Chinese government declared the FTZ policy, coupled with specific measures, and later in 2019, policies addressing the revolution and supporting measures for FTZ were issued. In the government documents, the central government urges the government of the free trade zone to further strengthen environmental protection legislation and law enforcement, restrict the introduction of goods that cause environmental pollution, and strengthen environmental regulation on foreign enterprises (<xref ref-type="bibr" rid="B3">Central Government of the People, 2015</xref>). At the same time, the free trade zone will further promote investment liberalization and facilitation, and attract more foreign direct investment by improving the tracking service of foreign investment projects, providing investment protection mechanisms, and supporting the establishment of foreign investment financial institutions in the pilot free trade zone. In addition, for science and education, FTZ promotes the innovation driven development strategy, supports enterprises to jointly build industrial innovation platforms with financial institutions, universities and scientific research institutes, and encourages famous foreign universities to cooperate in running schools in China. FTZ is also committed to optimizing the trade structure, restricting the crude oil use qualification of enterprises in the free trade zone, promoting the use of natural gas, updating the industrial structure, and introducing more foreign enterprises in the primary and tertiary industries (<xref ref-type="bibr" rid="B4">Central Government of the People, 2019</xref>).</p>
<p>According to the background above, the following assumption is given.</p>
</statement>
</p>
<p>
<statement content-type="hypothesis" id="Hypothesis_2">
<label>Hypothesis 2</label>
<p>FTZ can reduce air pollution through industrial upgrading, attracting foreign investment, promoting technological development, and strengthening environmental regulations.</p>
<p>According to <xref ref-type="statement" rid="Hypothesis_2">Hypothesis 2</xref>, the mechanism flow chart are presented in <xref ref-type="fig" rid="F1">Figure 1</xref>.</p>
<p>The specific contributions of this article compared with the existing literature are as follows: 1) This paper studies the spatial spillover impact of the free trade zone on urban air pollution in China, and through spatial models and robustness check, the reduction effect with spatial spillover of FTZ policy on air pollution is found. 2) This article also investigates the influencing paths of free trade zone on air pollution, it is revealed that through industrial upgrading, attracting foreign investment, promoting technological development, and strengthening environmental regulations, FTZ policy can help the city to inhibit air pollution. 3) In addition, this paper also explores the heterogeneity of FTZs&#x2019; effects on air pollution, and the conclusion is drawn that the pilot cities of various sizes, types, and locations have different policy effects.</p>
</statement>
</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>Mechanism flow chart.</p>
</caption>
<graphic xlink:href="fenvs-10-1075138-g001.tif"/>
</fig>
</sec>
<sec sec-type="materials|methods" id="s3">
<title>3 Materials and methods</title>
<sec id="s3-1">
<title>3.1 Variables selection</title>
<sec id="s3-1-1">
<title>3.1.1 Explanatory variables</title>
<p>The core explanatory variable of this article is the variable FTZ, which represents the implementation of free trade zone policies. To describe FTZ, we may use two dummy indicators: event dummy variable &#x201c;Treat&#x201d; and time dummy variable &#x201c;Post&#x201d;. We separated 283 cities into treatment groups and control groups according to whether the cities were pilot cities in the free trade zone. Treatment group includes 24 cities while control group contains 259 cities. The variable &#x201c;Treat&#x201d; for pilot city is 1, otherwise it is 0; the time dummy variable &#x201c;Post&#x201d; is assigned a value of 1 in the year in which the policy is implemented as well as in the subsequent years, otherwise it was 0. The interaction term Treat &#xd7; Post is FTZ, which represents whether the city is affected by the FTZ pilot or not in a certain year.</p>
<p>
<xref ref-type="fig" rid="F2">Figure 2</xref> adopts a map to illustrate the spatial distribution of the pilot and non-pilot cities of the FTZ policy.</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>Spatial distribution of FTZs.</p>
</caption>
<graphic xlink:href="fenvs-10-1075138-g002.tif"/>
</fig>
</sec>
<sec id="s3-1-2">
<title>3.1.2 Explained variables</title>
<p>At present, the main indicators to measure air pollution are particulate matters (PM2.5 and PM10), sulfur dioxide (SO<sub>2</sub>), carbon monoxide (CO), nitrogen oxides (NOx), ozone (<xref ref-type="bibr" rid="B27">Kampa and Elias, 2008</xref>), but the most commonly used for research is PM2.5 (<xref ref-type="bibr" rid="B55">Zeng et al., 105816</xref>). Hence, this paper uses PM2.5 concentrations as an indicator of air pollution for benchmark regression, and based on data availability, we further selects NOx with the least missing data in 283 cities as the explained variable for robustness check.</p>
</sec>
<sec id="s3-1-3">
<title>3.1.3 Control variables</title>
<p>The control variables used in this paper are as follows: economic scale (PGDP, Yuan/person) i.e.,GDP <italic>per capita</italic>, the use of fossil fuels in economic activities, especially in industrial production, will bring more air pollution emissions, so the economic scale is closely related to air pollution (<xref ref-type="bibr" rid="B29">Kukla-Gryz, 2009</xref>); government intervention (GI), i.e., the shares of urban finance expenditure in regional GDP (<xref ref-type="bibr" rid="B53">Yu et al., 2022a</xref>), the government can intervene in the emission of air pollutants through fiscal expenditure, policy intervention and market regulation, hence GI is also a crucial aspect in air pollution (<xref ref-type="bibr" rid="B46">Wang et al., 143738</xref>); population density (PD, 103person/km2) i.e.City population divided by city land area urban population agglomeration leads to industrial agglomeration, the use of public transport and urban clean energy, so population density has a significant impact on air pollution (<xref ref-type="bibr" rid="B6">Chen et al., 139456</xref>); Road traffic (RT) i.e., road passenger traffic each day, automobile exhaust emissions from urban traffic are an important source of air pollution, so the flow of road traffic is an vital factor affecting air pollution (<xref ref-type="bibr" rid="B56">Zeng et al., 2021</xref>); Internet development (INT) i.e., Number of households connected to the Internet (10 thousand households), take logarithm, digital economy brought by the use of the internet has changed the mode of production, promoted the development of green economy and reduced environmental pollution (<xref ref-type="bibr" rid="B34">Li and Wang, 2022</xref>); Science and education (SAE) i.e., Scientific and educational investment from government finance, the development of green technology and low-carbon education are beneficial to reducing air pollution.</p>
</sec>
<sec id="s3-1-4">
<title>3.1.4 Mediating variables</title>
<p>Based on the previous literature review, this paper uses the following four mediating variables to investigate the mechanism of FTZs: industrial structure (IDS): i.e., The ratio of the added value of the secondary industry to the added value of the tertiary industry; Science expenditure (SE) i.e., Government investment in science and technology; foreign direct investment (FDI) i.e., The actual amount of foreign direct investment, take logarithm (Dollars); environmental regulation (ER), i.e., Comprehensive utilization rate of industrial solid waste.</p>
</sec>
<sec id="s3-1-5">
<title>3.1.5 Spatial weight matrix</title>
<p>Spatial weight matrix is the most crucial element of spatial models, this paper utilizes a spatial inverse geographic distance weight matrix to conduct spatial regression. By obtaining the latitude and longitude of 283 prefecture level and above cities covered by the sample, using the software Matlab to compute the distance between cities. Then solving <xref ref-type="disp-formula" rid="e1">formula (1)</xref>&#x3001;(2), we obtain matrix W, which is a 283 &#xd7; 283 spatial weight matrix.<disp-formula id="e1">
<mml:math id="m1">
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<label>(1)</label>
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<label>(2)</label>
</disp-formula>Where dij denotes the distance between cities i and j as measured by their latitudes and longitudes.</p>
</sec>
</sec>
<sec id="s3-2">
<title>3.2 Data sources and summary statistics</title>
<p>After removing cities with missing data, this study employed the 2008&#x2013;2019 balanced panel data of 283 prefecture-level and above cities as the empirical dataset, with missing values imputed using the interpolation approach based on trends. The data in this study mainly come from the China City Statistical Yearbook 2009&#x2013;2020, PM2.5 data are from NOAA (National Oceanic and Atmospheric Administration) weather station data, we use the inverse distance weighted interpolation method to divide into grid data, and then match to city level data. The descriptive statistics of all variables in this paper are presented in <xref ref-type="table" rid="T1">Table 1</xref>.</p>
</sec>
<sec id="s3-3">
<title>3.3 Econometrics models</title>
<p>Since there are various types of spatial autocorrelation, spatial models are also divided into various types. Referring to Chenyang <xref ref-type="bibr" rid="B51">Yu et al. (2022b</xref>), this paper uses three of major spatial econometric models to evaluate the effect of FTZ construction on air pollution and its spillover effects, the models are as follows:</p>
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</disp-formula>Where <inline-formula id="inf1">
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</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> can be PM2.5 or NOx. <inline-formula id="inf3">
<mml:math id="m8">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">X</mml:mi>
<mml:mrow>
<mml:mi mathvariant="normal">i</mml:mi>
<mml:mi mathvariant="normal">t</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> represents for a series of control variables, in the benchmark regression, <inline-formula id="inf4">
<mml:math id="m9">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">X</mml:mi>
<mml:mrow>
<mml:mi mathvariant="normal">i</mml:mi>
<mml:mi mathvariant="normal">t</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> includes Industrial structure&#x3001;Population density&#x3001;Government intervention&#x3001;Road traffic, Science and Education and GDP <italic>per capita</italic>. W is the spatial matrix, <italic>&#x3c1;</italic> represents the spatial autoregressive coefficient of APEit, <inline-formula id="inf5">
<mml:math id="m10">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3bc;</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the fixed effects of cities, <inline-formula id="inf6">
<mml:math id="m11">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b4;</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> means the year fixed effects, <inline-formula id="inf7">
<mml:math id="m12">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b5;</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the random error term, &#x3bb;represents the autocorrelation coefficient of random error term.</p>
<p>Our key coefficients of interest in the three main spatial regression models discussed above are <inline-formula id="inf8">
<mml:math id="m13">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b2;</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula id="inf9">
<mml:math id="m14">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b2;</mml:mi>
<mml:mn>3</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>. If <inline-formula id="inf10">
<mml:math id="m15">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b2;</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is considerably negative, we may presume that FTZ strategies reduce air pollution; otherwise, there is no evidence suggesting FTZ policies reduce air pollution. If the coefficient <inline-formula id="inf11">
<mml:math id="m16">
<mml:mrow>
<mml:mi>&#x3c1;</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> is considerably positive, it implies that there is a geographical spillover impact of air pollution (PM2.5), and if <inline-formula id="inf12">
<mml:math id="m17">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b2;</mml:mi>
<mml:mn>3</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is profoundly negative, it signifies that FTZ policies can also diminish air pollution in the surrounding areas.</p>
<p>After conducting a spatial Hausman test (<xref ref-type="bibr" rid="B28">Kelley Pace and LeSage, 2008</xref>), two-way fixed effects (city effects and year effects) are controlled in the models. Besides, in the benchmark regression we also report the information criterion (Akaike information criterion, AIC and Bayesian information criterion, BIC) and the log-likelihood to explore which model is better, the model is better when the results have a higher absolute value of log-likelihood and a lower value of AIC/BIC (<xref ref-type="bibr" rid="B13">De XiaoLi and Cheng, 2020</xref>).</p>
</sec>
</sec>
<sec id="s4">
<title>4 Regression results</title>
<sec id="s4-1">
<title>4.1 Spatial correlation test</title>
<p>Before performing spatial econometric regression, we need to test the spatial correlation of the explained variables, this paper utilizes Global Moran&#x2019;s I and Geary&#x2019;s C to conduct the spatial association test, the expression of the two indexes are as follows (<xref ref-type="bibr" rid="B30">L Ping et al., 2004</xref>):<disp-formula id="e6">
<mml:math id="m18">
<mml:mrow>
<mml:mi>M</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>a</mml:mi>
<mml:msup>
<mml:mi>n</mml:mi>
<mml:mo>&#x2032;</mml:mo>
</mml:msup>
<mml:mi>s</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi>I</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi>n</mml:mi>
<mml:mrow>
<mml:munderover>
<mml:mstyle displaystyle="true">
<mml:mo>&#x2211;</mml:mo>
</mml:mstyle>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi>n</mml:mi>
</mml:munderover>
<mml:mrow>
<mml:munderover>
<mml:mstyle displaystyle="true">
<mml:mo>&#x2211;</mml:mo>
</mml:mstyle>
<mml:mrow>
<mml:mi>j</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi>n</mml:mi>
</mml:munderover>
<mml:msub>
<mml:mi>w</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mrow>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msub>
<mml:mi>y</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:mover accent="true">
<mml:mi>y</mml:mi>
<mml:mo>&#xaf;</mml:mo>
</mml:mover>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msub>
<mml:mi>y</mml:mi>
<mml:mi>j</mml:mi>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:mover accent="true">
<mml:mi>y</mml:mi>
<mml:mo>&#xaf;</mml:mo>
</mml:mover>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
<mml:mrow>
<mml:mrow>
<mml:munderover>
<mml:mstyle displaystyle="true">
<mml:mo>&#x2211;</mml:mo>
</mml:mstyle>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi>n</mml:mi>
</mml:munderover>
<mml:mrow>
<mml:munderover>
<mml:mstyle displaystyle="true">
<mml:mo>&#x2211;</mml:mo>
</mml:mstyle>
<mml:mrow>
<mml:mi>j</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi>n</mml:mi>
</mml:munderover>
<mml:msub>
<mml:mi>w</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mrow>
<mml:mrow>
<mml:munderover>
<mml:mstyle displaystyle="true">
<mml:mo>&#x2211;</mml:mo>
</mml:mstyle>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi>n</mml:mi>
</mml:munderover>
<mml:msup>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msub>
<mml:mi>y</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:mover accent="true">
<mml:mi>y</mml:mi>
<mml:mo>&#xaf;</mml:mo>
</mml:mover>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msup>
</mml:mrow>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
<label>(6)</label>
</disp-formula>
<disp-formula id="e7">
<mml:math id="m19">
<mml:mrow>
<mml:mi>G</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>r</mml:mi>
<mml:msup>
<mml:mi>y</mml:mi>
<mml:mo>&#x2032;</mml:mo>
</mml:msup>
<mml:mi>s</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi>C</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>n</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mrow>
<mml:munderover>
<mml:mstyle displaystyle="true">
<mml:mo>&#x2211;</mml:mo>
</mml:mstyle>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi>n</mml:mi>
</mml:munderover>
<mml:mrow>
<mml:munderover>
<mml:mstyle displaystyle="true">
<mml:mo>&#x2211;</mml:mo>
</mml:mstyle>
<mml:mrow>
<mml:mi>j</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi>n</mml:mi>
</mml:munderover>
<mml:msub>
<mml:mi>w</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mrow>
<mml:msup>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msub>
<mml:mi>y</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>y</mml:mi>
<mml:mi>j</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msup>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
<mml:mrow>
<mml:munderover>
<mml:mstyle displaystyle="true">
<mml:mo>&#x2211;</mml:mo>
</mml:mstyle>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi>n</mml:mi>
</mml:munderover>
<mml:mrow>
<mml:munderover>
<mml:mstyle displaystyle="true">
<mml:mo>&#x2211;</mml:mo>
</mml:mstyle>
<mml:mrow>
<mml:mi>j</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi>n</mml:mi>
</mml:munderover>
<mml:msub>
<mml:mi>w</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mrow>
<mml:mrow>
<mml:munderover>
<mml:mstyle displaystyle="true">
<mml:mo>&#x2211;</mml:mo>
</mml:mstyle>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi>n</mml:mi>
</mml:munderover>
<mml:msup>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msub>
<mml:mi>y</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:mover accent="true">
<mml:mi>y</mml:mi>
<mml:mo>&#xaf;</mml:mo>
</mml:mover>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msup>
</mml:mrow>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
<label>(7)</label>
</disp-formula>
</p>
<p>
<xref ref-type="table" rid="T3">Table 3</xref> shows the Moran&#x2019;s I index and Geary&#x2019;s C index of urban PM2.5 emissions of the sample from 2008&#x2013;2019. If the values of these two indices are between 0 and 1, then there is a positive spatial correlation of PM2.5 emissions spills over to surrounding cities. The Moran&#x2019;s I index is a number that varies from &#x2212;1 to 1, a larger value of Moran&#x2019;s I index indicates a stronger positive spatial correlation of PM2.5 pollution. Geary&#x2019;s C-index ranges from 0&#x2013;2, the smaller the value of Geary&#x2019;s C index, the greater the positive spatial correlation.</p>
<table-wrap id="T3" position="float">
<label>TABLE 3</label>
<caption>
<p>Spatial correlation test.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Year</th>
<th align="left">2008</th>
<th align="left">2009</th>
<th align="left">2010</th>
<th align="left">2011</th>
<th align="left">2012</th>
<th align="left">2013</th>
<th align="left">2014</th>
<th align="left">2015</th>
<th align="left">2016</th>
<th align="left">2017</th>
<th align="left">2018</th>
<th align="left">2019</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">Moran&#x2019;s I</td>
<td align="left">.176&#x2a;&#x2a;&#x2a; (34.82)</td>
<td align="left">.196&#x2a;&#x2a;&#x2a; (38.68)</td>
<td align="left">.204&#x2a;&#x2a;&#x2a; (40.11)</td>
<td align="left">.184&#x2a;&#x2a;&#x2a; (36.38)</td>
<td align="left">.186&#x2a;&#x2a;&#x2a; (36.73)</td>
<td align="left">.198&#x2a;&#x2a;&#x2a; (39.08)</td>
<td align="left">.187&#x2a;&#x2a;&#x2a; (36.82)</td>
<td align="left">.223&#x2a;&#x2a;&#x2a; (43.90)</td>
<td align="left">.220&#x2a;&#x2a;&#x2a; (43.20)</td>
<td align="left">.197&#x2a;&#x2a;&#x2a; (38.86)</td>
<td align="left">.212 &#x2a;&#x2a;&#x2a; (41.73)</td>
<td align="left">.218 &#x2a;&#x2a;&#x2a; (42.79)</td>
</tr>
<tr>
<td align="left">Geary&#x2019;s C</td>
<td align="left">.797&#x2a;&#x2a;&#x2a; (&#x2212;23.97)</td>
<td align="left">.768&#x2a;&#x2a;&#x2a; (&#x2212;24.29)</td>
<td align="left">.768&#x2a;&#x2a;&#x2a; (&#x2212;25.81)</td>
<td align="left">.784&#x2a;&#x2a;&#x2a; (&#x2212;23.27)</td>
<td align="left">.789&#x2a;&#x2a;&#x2a; (&#x2212;23.54)</td>
<td align="left">.789&#x2a;&#x2a;&#x2a; (&#x2212;23.92)</td>
<td align="left">.797&#x2a;&#x2a;&#x2a; (&#x2212;22.34)</td>
<td align="left">.774&#x2a;&#x2a;&#x2a; (&#x2212;26.33)</td>
<td align="left">.772&#x2a;&#x2a;&#x2a; (&#x2212;26.28)</td>
<td align="left">.792&#x2a;&#x2a;&#x2a; (&#x2212;23.52)</td>
<td align="left">.783&#x2a;&#x2a;&#x2a; (&#x2212;24.77)</td>
<td align="left">.779&#x2a;&#x2a;&#x2a; (&#x2212;25.67)</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>The results illustrate that the Moran&#x2019;s I index and Geary&#x2019;s C index values of PM2.5 are in the range of [0, 1], and the results are all significant. The results implies that there is a significant positive spatial correlation of PM2.5 in Chinese cities. Therefore, when studying the impact of FTZ policies on air pollution, we should consider the spatial characteristics of PM2.5 pollution and adopt spatial models instead of non-spatial models for estimation, otherwise, the results of estimation would be biased. In <xref ref-type="fig" rid="F3">Figure 3</xref> below, we demonstrate the scatter plots of Moran&#x2019;s I Index of PM2.5 emissions in China&#x2019;s cities in chosen years, and the results demonstrated that in the sample time span, most cities are located in the first and third quadrants, indicating that there is a spatial effect of high-high aggregation and low-low aggregation in the air pollution between cities, that is, the phenomenon of pollution clusters exists.</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>Scatter plots of Moran&#x2019;s I Index of PM2.5 emissions in China&#x2019;s cities with W in chosen years: 2008, 2012, 2016, 2019.</p>
</caption>
<graphic xlink:href="fenvs-10-1075138-g003.tif"/>
</fig>
</sec>
<sec id="s4-2">
<title>4.2 Benchmark regression</title>
<p>
<xref ref-type="table" rid="T4">Table 4</xref> presents the results of the baseline regression, no matter which model is used, the coefficient of FTZ is significantly negative above the 5% significant level, which preliminarily indicates that the establishment of FTZ reduces air pollution emissions. Meanwhile, the spatial autocorrelation or autoregressive coefficients of all models are significantly positive, showing that the policy effect has spatial spillovers to surrounding cities. From the perspective of AIC, BIC and log-likelihood, the optimal model should be SDM-DID, as the AIC and BIC value of SDM-DID model are the smallest and its log-likelihood is largest at the same time. From the results of SDM-DID, after introducing the control variables, the coefficient of FTZ on air pollution reached -.029, and it is significant at the 1% level, indicating that the establishment of FTZ reduced air pollution by 2.9%. The spatial spillover coefficient of WFTZ is -.929 and significant at the 1% level, indicating that the establishment of FTZ also has a significant inhibitory effect on air pollution in surrounding cities.</p>
<table-wrap id="T4" position="float">
<label>TABLE 4</label>
<caption>
<p>Benchmark regression results.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">Variables</th>
<th align="center">SDM-DID (1)</th>
<th align="center">SDM-DID (2)</th>
<th align="center">SAR-DID (3)</th>
<th align="center">SAR-DID (4)</th>
<th align="center">SEM-DID (5)</th>
<th align="center">SEM-DID (6)</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">FTZ</td>
<td align="center">&#x2212;.023&#x2a;&#x2a; (&#x2212;1.99)</td>
<td align="center">&#x2212;.029&#x2a;&#x2a;&#x2a; (&#x2212;2.71)</td>
<td align="center">&#x2212;.030&#x2a;&#x2a;&#x2a; (&#x2212;2.87)</td>
<td align="center">&#x2212;.027&#x2a;&#x2a;&#x2a; (&#x2212;2.63)</td>
<td align="center">&#x2212;.025&#x2a;&#x2a;&#x2a; (&#x2212;2.38)</td>
<td align="center">&#x2212;.023&#x2a;&#x2a; (&#x2212;2.21)</td>
</tr>
<tr>
<td align="center">PGDP</td>
<td align="center"/>
<td align="center">.022&#x2a;&#x2a; (2.09)</td>
<td align="center"/>
<td align="center">.008 (0.36)</td>
<td align="center"/>
<td align="center">.010 (0.94)</td>
</tr>
<tr>
<td align="center">INT</td>
<td align="center"/>
<td align="center">&#x2212;.004 (&#x2212;0.99)</td>
<td align="center"/>
<td align="center">&#x2212;.010&#x2a;&#x2a; (&#x2212;2.32)</td>
<td align="center"/>
<td align="center">&#x2212;.008&#x2a; (&#x2212;1.83)</td>
</tr>
<tr>
<td align="center">PD</td>
<td align="center"/>
<td align="center">.009&#x2a;&#x2a; (2.24)</td>
<td align="center"/>
<td align="center">.006 (1.49)</td>
<td align="center"/>
<td align="center">.006 (1.50)</td>
</tr>
<tr>
<td align="center">SAE</td>
<td align="center"/>
<td align="center">&#x2212;.008 (&#x2212;0.74)</td>
<td align="center"/>
<td align="center">&#x2212;.056&#x2a;&#x2a;&#x2a; (&#x2212;4.75)</td>
<td align="center"/>
<td align="center">&#x2212;.047&#x2a;&#x2a;&#x2a; (&#x2212;3.56)</td>
</tr>
<tr>
<td align="center">RT</td>
<td align="center"/>
<td align="center">&#x2212;.001 (&#x2212;0.35)</td>
<td align="center"/>
<td align="center">&#x2212;.003 (&#x2212;0.88)</td>
<td align="center"/>
<td align="center">&#x2212;.001 (&#x2212;0.51)</td>
</tr>
<tr>
<td align="center">GI</td>
<td align="center"/>
<td align="center">.026&#x2a;&#x2a;&#x2a; (3.13)</td>
<td align="center"/>
<td align="center">.025&#x2a;&#x2a;&#x2a; (3.20)</td>
<td align="center"/>
<td align="center">.025&#x2a;&#x2a;&#x2a; (2.94)</td>
</tr>
<tr>
<td align="center">WFTZ</td>
<td align="center"/>
<td align="center">&#x2212;.929&#x2a;&#x2a;&#x2a; (&#x2212;6.15)</td>
<td align="center"/>
<td align="center"/>
<td align="center"/>
<td align="center"/>
</tr>
<tr>
<td align="center">WlnPGDP</td>
<td align="center"/>
<td align="center">.236&#x2a;&#x2a;&#x2a; (3.14)</td>
<td align="center"/>
<td align="center"/>
<td align="center"/>
<td align="center"/>
</tr>
<tr>
<td align="center">WINT</td>
<td align="center"/>
<td align="center">&#x2212;.187&#x2a;&#x2a;&#x2a; (&#x2212;4.06)</td>
<td align="center"/>
<td align="center"/>
<td align="center"/>
<td align="center"/>
</tr>
<tr>
<td align="center">WPD</td>
<td align="center"/>
<td align="center">.409&#x2a;&#x2a;&#x2a; (2.92)</td>
<td align="center"/>
<td align="center"/>
<td align="center"/>
<td align="center"/>
</tr>
<tr>
<td align="center">WSAE</td>
<td align="center"/>
<td align="center">&#x2212;.371&#x2a;&#x2a;&#x2a; (&#x2212;5.42)</td>
<td align="center"/>
<td align="center"/>
<td align="center"/>
<td align="center"/>
</tr>
<tr>
<td align="center">WRT</td>
<td align="center"/>
<td align="center">&#x2212;.147&#x2a;&#x2a;&#x2a; (&#x2212;5.08)</td>
<td align="center"/>
<td align="center"/>
<td align="center"/>
<td align="center"/>
</tr>
<tr>
<td align="center">WGI</td>
<td align="center"/>
<td align="center">.365&#x2a;&#x2a;&#x2a; (4.09)</td>
<td align="center"/>
<td align="center"/>
<td align="center"/>
<td align="center"/>
</tr>
<tr>
<td align="center">&#x3c1;</td>
<td align="center">.981&#x2a;&#x2a;&#x2a; (1182.47)</td>
<td align="center">.978&#x2a;&#x2a;&#x2a;(953.59)</td>
<td align="center">.982&#x2a;&#x2a;&#x2a; (1296.07)</td>
<td align="center">.981&#x2a;&#x2a;&#x2a; (1232.13)</td>
<td align="center"/>
<td align="center"/>
</tr>
<tr>
<td align="center">&#x3bb;</td>
<td align="center"/>
<td align="center"/>
<td align="center"/>
<td align="center"/>
<td align="center">.982&#x2a;&#x2a;&#x2a; (1178.29)</td>
<td align="center">.981&#x2a;&#x2a;&#x2a; (1098.07)</td>
</tr>
<tr>
<td align="center">Control Variables</td>
<td align="center">No</td>
<td align="center">Yes</td>
<td align="center">No</td>
<td align="center">Yes</td>
<td align="center">No</td>
<td align="center">Yes</td>
</tr>
<tr>
<td align="center">City FE</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
</tr>
<tr>
<td align="center">Year FE</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
</tr>
<tr>
<td align="center">AIC</td>
<td align="center">&#x2212;9929.297</td>
<td align="center">&#x2212;10180.31</td>
<td align="center">&#x2212;9840.154</td>
<td align="center">&#x2212;9920.833</td>
<td align="center">&#x2212;9835.177</td>
<td align="center">&#x2212;9875.477</td>
</tr>
<tr>
<td align="center">BIC</td>
<td align="center">&#x2212;9904.775</td>
<td align="center">&#x2212;10082.22</td>
<td align="center">&#x2212;9821.763</td>
<td align="center">&#x2212;9865.66</td>
<td align="center">&#x2212;9816.786</td>
<td align="center">&#x2212;9820.304</td>
</tr>
<tr>
<td align="center">Log Lik.</td>
<td align="center">4968.6484</td>
<td align="center">5106.1525</td>
<td align="center">4923.0772</td>
<td align="center">4969.4166</td>
<td align="center">4920.5886</td>
<td align="center">4946.7385</td>
</tr>
<tr>
<td align="center">N</td>
<td align="center">3396</td>
<td align="center">3396</td>
<td align="center">3396</td>
<td align="center">3396</td>
<td align="center">3396</td>
<td align="center">3396</td>
</tr>
<tr>
<td align="center">Within-R<sup>2</sup>
</td>
<td align="center">.664</td>
<td align="center">.437</td>
<td align="center">.665</td>
<td align="center">.719</td>
<td align="center">.063</td>
<td align="center">.430</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn id="Tfn1">
<label>
<sup>a</sup>
</label>
<p>Notes:&#x2a;, &#x2a;&#x2a;, and &#x2a;&#x2a;&#x2a; represent the significance levels at 1%, 5%, and 10%, respectively; z-values are in parentheses;&#x3c1;, represents the spatial autoregressive coefficient of PM2.5; &#x3bb;, represents the autocorrelation coefficient of error term.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>Since SDM-DID is the best model, <xref ref-type="table" rid="T5">Table 5</xref> reports the detailed direct, indirect, and total effects results of SDM-DID model.</p>
<table-wrap id="T5" position="float">
<label>TABLE 5</label>
<caption>
<p>Direct, indirect, and total effects of SDM-DID in column (2) in <xref ref-type="table" rid="T4">Table 4</xref>.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Sample</th>
<th align="left">FTZ</th>
<th align="left">PGDP</th>
<th align="left">SAE</th>
<th align="left">GI</th>
<th align="left">INT</th>
<th align="left">PD</th>
<th align="left">RT</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td rowspan="2" align="left">Direct effect</td>
<td align="left">&#x2212;.18&#x2a;&#x2a;&#x2a;</td>
<td align="left">0.06&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;0.07&#x2a;&#x2a;&#x2a;</td>
<td align="left">0.09&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;0.034&#x2a;&#x2a;&#x2a;</td>
<td align="left">0.08&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;0.03&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left">(&#x2212;6.94)</td>
<td align="left">(5.04)</td>
<td align="left">(&#x2212;5.52)</td>
<td align="left">(5.95)</td>
<td align="left">(&#x2212;4.30)</td>
<td align="left">(3.11)</td>
<td align="left">(&#x2212;4.42)</td>
</tr>
<tr>
<td rowspan="2" align="left">Indirect effect</td>
<td align="left">&#x2212;43.14&#x2a;&#x2a;&#x2a;</td>
<td align="left">11.54&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;17.24&#x2a;&#x2a;&#x2a;</td>
<td align="left">17.64&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;8.49&#x2a;&#x2a;&#x2a;</td>
<td align="left">19.46&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;6.77&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left">(&#x2212;6.35)</td>
<td align="left">(3.60)</td>
<td align="left">(&#x2212;6.33)</td>
<td align="left">(4.34)</td>
<td align="left">(&#x2212;4.02)</td>
<td align="left">(2.81)</td>
<td align="left">(&#x2212;5.18)</td>
</tr>
<tr>
<td rowspan="2" align="left">Total effect</td>
<td align="left">&#x2212;43.42&#x2a;&#x2a;&#x2a;</td>
<td align="left">11.60&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;17.31&#x2a;&#x2a;&#x2a;</td>
<td align="left">17.73&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;8.53&#x2a;&#x2a;&#x2a;</td>
<td align="left">19.54&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;6.80&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left">(&#x2212;6.36)</td>
<td align="left">(3.6)</td>
<td align="left">(&#x2212;6.34)</td>
<td align="left">(4.34)</td>
<td align="left">(&#x2212;4.02)</td>
<td align="left">(2.81)</td>
<td align="left">(&#x2212;5.18)</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn id="Tfn2">
<label>
<sup>a</sup>
</label>
<p>Notes:&#x2a;, &#x2a;&#x2a;, and &#x2a;&#x2a;&#x2a; represent the significance levels at 1%, 5%, and 10%, respectively; z-values are in parentheses.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>The direct effect of FTZ is &#x2212;.18 and is statistically significant at the 1% level. This shows that setting up a free trade zone can reduce local air pollution by 18%. Therefore, <xref ref-type="statement" rid="Hypothesis_1">Hypothesis 1</xref> of this paper has been verified, that is, the construction of free trade zones reduces air pollution emissions. In addition, the indirect effect of FTZ reaches -43.14 and is significant at the level of 1%, indicating that the establishment of the free trade zone had a significant effect on the improvement of air pollution in surrounding areas. This conclusion might be due to the fact that air pollution has a spatial effect, air pollution can spread between cities through natural factors such as atmospheric flow and economic channels like industrial transfer, and the improvement of air pollution can also be transmitted to the surrounding areas. Factors of production enter the free trade zone, and the preferential policies of the free trade zone and advanced technologies with spillover effects (<xref ref-type="bibr" rid="B16">Elena and Galeotti, 2011</xref>) can drive the greening and efficiency of production, energy saving and hence emission reduction in surrounding cities. The total effect of FTZ on air pollution is -43.42, indicating that each additional free trade zone reduces the overall PM2.5 emission by about 4,342%, that is, the PM2.5 emission of the 283 cities in the sample is reduced by an average of 15.3%. It can also be seen from <xref ref-type="table" rid="T5">Table 5</xref> that the direct and indirect effects of PGDP, PD and GI are significantly positive at the 1% level, indicating that economic development, population aggregation and government intervention will all lead to aggravation of environmental pollution, and the impact has Spatial spillover effect, which is consistent with previous studies (<xref ref-type="bibr" rid="B6">Chen et al., 139456</xref>; <xref ref-type="bibr" rid="B5">Chen and Chen, 2021</xref>). The direct and indirect effects of SAE and INT were significantly negative, indicating that investment in science and education and the popularization of the Internet can significantly reduce air pollution in local and surrounding areas.</p>
</sec>
<sec id="s4-3">
<title>4.3 Robustness check</title>
<p>A set of robustness tests are developed in this section to verify that the regression findings obtained beforehand are resilient and trustworthy.</p>
<sec id="s4-3-1">
<title>4.3.1 Parallel trend test</title>
<p>The DID model has an important premise, that is, the parallel trend test. The parallel trend assumes that the trends of the treatment group and the control group are consistent before the policy is implemented. In order to prove whether this premise holds, this paper uses the following model to conduct the parallel trend test:<disp-formula id="e8">
<mml:math id="m20">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>A</mml:mi>
<mml:mi>P</mml:mi>
<mml:mi>E</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mi>&#x3b1;</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:mrow>
<mml:munderover>
<mml:mstyle displaystyle="true">
<mml:mo>&#x2211;</mml:mo>
</mml:mstyle>
<mml:mrow>
<mml:mi>j</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>M</mml:mi>
</mml:mrow>
<mml:mi>N</mml:mi>
</mml:munderover>
<mml:msub>
<mml:mi>&#x3b2;</mml:mi>
<mml:mi>j</mml:mi>
</mml:msub>
</mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>P</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>l</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi>t</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:mi>&#x3b3;</mml:mi>
<mml:msub>
<mml:mi>X</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msup>
<mml:mi>&#x3b8;</mml:mi>
<mml:mo>&#x2032;</mml:mo>
</mml:msup>
<mml:mi>W</mml:mi>
<mml:msub>
<mml:mi>X</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msup>
<mml:mi>&#x3c1;</mml:mi>
<mml:mo>&#x2032;</mml:mo>
</mml:msup>
<mml:msub>
<mml:mrow>
<mml:mi>A</mml:mi>
<mml:mi>P</mml:mi>
<mml:mi>E</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mi>W</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:msubsup>
<mml:mi>&#x3bc;</mml:mi>
<mml:mi>i</mml:mi>
<mml:mo>&#x2032;</mml:mo>
</mml:msubsup>
<mml:mo>&#x2b;</mml:mo>
<mml:msubsup>
<mml:mi>&#x3b4;</mml:mi>
<mml:mi>t</mml:mi>
<mml:mo>&#x2032;</mml:mo>
</mml:msubsup>
<mml:mo>&#x2b;</mml:mo>
<mml:msubsup>
<mml:mi>&#x3b5;</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
<mml:mo>&#x2032;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
<label>(8)</label>
</disp-formula>
</p>
<p>We delete the year before the implementation of the policy as the base period, and the results are plotted with time relative to policy implementation as the x-axis and the regression coefficient of policy dynamic effect as the y-axis. The results are given in <xref ref-type="fig" rid="F4">Figure 4</xref>.</p>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>Parallel trend test results.</p>
</caption>
<graphic xlink:href="fenvs-10-1075138-g004.tif"/>
</fig>
<p>As is illustrated in <xref ref-type="fig" rid="F4">Figure 4</xref>, in the all five years before policy implementation, the coefficient is positive and not significant, while from the current period to 3&#xa0;years after the implementation of the policy, the coefficients are all significantly negative. Hence, the parallel trend test is passed, and the SDID methods can be applied to evaluate the policy effect.</p>
</sec>
<sec id="s4-3-2">
<title>4.3.2 Replace the explained variable</title>
<p>In this section, NOx, which is another frequently used index describing air pollution, is adopted as the explained variable to conduct the regression. The results are in <xref ref-type="table" rid="T6">Table 6</xref> below.</p>
<table-wrap id="T6" position="float">
<label>TABLE 6</label>
<caption>
<p>Results with NOX as the response variable.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">Variables</th>
<th align="center">SDM-DID (1)</th>
<th align="center">SDM-DID (2)</th>
<th align="center">SAR-DID (3)</th>
<th align="center">SAR-DID (4)</th>
<th align="center">SEM-DID (5)</th>
<th align="center">SEM-DID (6)</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">FTZ</td>
<td align="center">&#x2212;.257&#x2a;&#x2a; (&#x2212;2.40)</td>
<td align="center">&#x2212;.249&#x2a;&#x2a; (&#x2212;2.17)</td>
<td align="center">&#x2212;.255&#x2a;&#x2a; (&#x2212;2.37)</td>
<td align="center">&#x2212;.246&#x2a;&#x2a; (&#x2212;2.16)</td>
<td align="center">&#x2212;.256&#x2a;&#x2a; (&#x2212;2.38)</td>
<td align="center">&#x2212;.247&#x2a;&#x2a; (&#x2212;2.18)</td>
</tr>
<tr>
<td align="center">&#x3c1;</td>
<td align="center">.465&#x2a;&#x2a;&#x2a; (2.66)</td>
<td align="center">.392&#x2a;&#x2a; (2.14)</td>
<td align="center">.465&#x2a;&#x2a;&#x2a; (2.66)</td>
<td align="center">.449&#x2a;&#x2a;&#x2a; (2.52)</td>
<td align="center"/>
<td align="center"/>
</tr>
<tr>
<td align="center">&#x3bb;</td>
<td align="center"/>
<td align="center"/>
<td align="center"/>
<td align="center"/>
<td align="center">.464&#x2a;&#x2a;&#x2a; (2.76)</td>
<td align="center">.458&#x2a;&#x2a;&#x2a; (2.71)</td>
</tr>
<tr>
<td align="center">Control Variables</td>
<td align="center">No</td>
<td align="center">Yes</td>
<td align="center">No</td>
<td align="center">Yes</td>
<td align="center">No</td>
<td align="center">Yes</td>
</tr>
<tr>
<td align="center">City FE</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
</tr>
<tr>
<td align="center">Year FE</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
</tr>
<tr>
<td align="center">AIC</td>
<td align="center">6198.398</td>
<td align="center">6187.945</td>
<td align="center">6196.469</td>
<td align="center">6185.895</td>
<td align="center">6196.412</td>
<td align="center">6185.242</td>
</tr>
<tr>
<td align="center">BIC</td>
<td align="center">6222.919</td>
<td align="center">6286.031</td>
<td align="center">6214.86</td>
<td align="center">6241.068</td>
<td align="center">6214.803</td>
<td align="center">6240.415</td>
</tr>
<tr>
<td align="center">Log Lik.</td>
<td align="center">&#x2212;3095.1990</td>
<td align="center">&#x2212;3077.9725</td>
<td align="center">&#x2212;3095.2347</td>
<td align="center">&#x2212;3083.9473</td>
<td align="center">&#x2212;3095.2061</td>
<td align="center">&#x2212;3083.6209</td>
</tr>
<tr>
<td align="center">N</td>
<td align="center">3396</td>
<td align="center">3396</td>
<td align="center">3396</td>
<td align="center">3396</td>
<td align="center">3396</td>
<td align="center">3396</td>
</tr>
<tr>
<td align="center">Within-R<sup>2</sup>
</td>
<td align="center">.0004</td>
<td align="center">.4450</td>
<td align="center">.1203</td>
<td align="center">.2261</td>
<td align="center">.0469</td>
<td align="center">.1970</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn id="Tfn3">
<label>
<sup>a</sup>
</label>
<p>Notes:&#x2a;, &#x2a;&#x2a;, and &#x2a;&#x2a;&#x2a; represent the significance levels at 1%, 5%, and 10%, respectively; z-values are in parentheses; &#x3c1;, represents the spatial autoregressive coefficient of NOX; &#x3bb;, represents the autocorrelation coefficient of error term.</p>
</fn>
<fn>
<p>Control variables are the same as benchmark regression, including PGDP, SAE, PD, GI, INT.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>As can be seen from <xref ref-type="table" rid="T6">Table 6</xref>, no matter which spatial model is used, FTZ policy significantly reduces urban NOx emissions at the 5% significant level.</p>
</sec>
<sec id="s4-3-3">
<title>4.3.3 PSM-SDID</title>
<p>The FTZ policy studied in this paper is a quasi-natural experiment, the SDID approach utilized to assess policy impacts will obviously have self-selection bias. At this time, the PSM-SDID method can be used to match each treatment group sample to a specific control group sample, making the experimental group and the control group cities as similar as possible in all aspects to eliminate selection bias, thereby increasing the credibility of the policy effect estimate (<xref ref-type="bibr" rid="B24">Jia et al., 105271</xref>). The balance test and matching results are in <xref ref-type="table" rid="T7">Table 7</xref>.</p>
<table-wrap id="T7" position="float">
<label>TABLE 7</label>
<caption>
<p>Balance test and matching results.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th rowspan="2" align="left">Variables</th>
<th rowspan="2" align="center">Type</th>
<th colspan="2" align="center">Mean</th>
<th colspan="2" align="center">Bias Reduction</th>
<th colspan="2" align="center">t-test</th>
</tr>
<tr>
<th align="left">Treated</th>
<th align="left">Control</th>
<th align="left">Bias(%)</th>
<th align="left">&#x7c;bias&#x7c;(%)</th>
<th align="left">t-value</th>
<th align="left">P&#x3e;&#x7c;t&#x7c;</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td rowspan="2" align="left">PGDP</td>
<td align="left">Unmatched</td>
<td align="left">11.281</td>
<td align="left">10.382</td>
<td rowspan="2" colspan="2" align="left">118.5 2.2 98.2</td>
<td align="left">19.37</td>
<td align="left">0.000</td>
</tr>
<tr>
<td align="left">Matched</td>
<td align="left">11.207</td>
<td align="left">11.191</td>
<td align="left">0.25</td>
<td align="left">0.804</td>
</tr>
<tr>
<td rowspan="2" align="left">PD</td>
<td align="left">Unmatched</td>
<td align="left">0.776</td>
<td align="left">0.406</td>
<td rowspan="2" colspan="2" align="left">89.4 9.2 89.7</td>
<td align="left">17.29</td>
<td align="left">0.000</td>
</tr>
<tr>
<td align="left">Matched</td>
<td align="left">0.689</td>
<td align="left">0.651</td>
<td align="left">1.25</td>
<td align="left">0.213</td>
</tr>
<tr>
<td rowspan="2" align="left">INT</td>
<td align="left">Unmatched</td>
<td align="left">5.119</td>
<td align="left">3.781</td>
<td rowspan="2" colspan="2" align="left">132.8 11.0 91.7</td>
<td align="left">21.81</td>
<td align="left">0.000</td>
</tr>
<tr>
<td align="left">Matched</td>
<td align="left">5.023</td>
<td align="left">4.914</td>
<td align="left">1.32</td>
<td align="left">0.189</td>
</tr>
<tr>
<td rowspan="2" align="left">GI</td>
<td align="left">Unmatched</td>
<td align="left">0.154</td>
<td align="left">0.230</td>
<td rowspan="2" colspan="2" align="left">&#x2212;43.5 &#x2212;2.1 95.1</td>
<td rowspan="2" align="left">&#x2212;5.37 &#x2212;0.45</td>
<td align="left">0.000</td>
</tr>
<tr>
<td align="left">Matched</td>
<td align="left">0.151</td>
<td align="left">0.154</td>
<td align="left">0.653</td>
</tr>
<tr>
<td rowspan="2" align="left">SAE</td>
<td align="left">Unmatched</td>
<td align="left">14.006</td>
<td align="left">12.884</td>
<td rowspan="2" colspan="2" align="left">120.1 7.2 94.0</td>
<td align="left">21.96</td>
<td align="left">0.000</td>
</tr>
<tr>
<td align="left">Matched</td>
<td align="left">13.886</td>
<td align="left">13.819</td>
<td align="left">0.81</td>
<td align="left">0.418</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>As is shown in <xref ref-type="table" rid="T7">Table 7</xref>, before matching, the control group is significantly different from the treated group, but after PSM, the biases of each matching variable in the control group and the treated group are all within 11%. The <italic>t</italic>-test results show that both the variables are significantly different before matching since the t values are all .000 before matching, while the t values after matching are all exceeded .1, that is, the hypothesis that the two groups of variables are the same cannot be rejected after matching. Besides, the Pseudo R<sup>2</sup> is close to 0 and the <italic>p</italic>-value is insignificant after matching, so the PSM is successful.</p>
<p>Using the data after matching, we conduct PSM-SDID and the results are shown in <xref ref-type="table" rid="T8">Table 8</xref>.</p>
<table-wrap id="T8" position="float">
<label>TABLE 8</label>
<caption>
<p>Results of PSM-SDID.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">Variables</th>
<th align="center">PSM-SDM-DID (1)</th>
<th align="center">PSM-SAR-DID (2)</th>
<th align="center">PSM-SEM-DID (3)</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td rowspan="2" align="center">FTZ</td>
<td align="center">&#x2212;0.027&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2212;0.027&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2212;0.023&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="center">(&#x2212;2.49)</td>
<td align="center">(&#x2212;2.55)</td>
<td align="center">(&#x2212;221)</td>
</tr>
<tr>
<td rowspan="2" align="center">WFTZ</td>
<td align="center">&#x2212;0.863&#x2a;&#x2a;&#x2a;</td>
<td rowspan="2" align="center"/>
<td rowspan="2" align="center"/>
</tr>
<tr>
<td align="center">(&#x2212;5.45)</td>
</tr>
<tr>
<td rowspan="2" align="center">&#x3c1;</td>
<td align="center">0.979&#x2a;&#x2a;&#x2a;</td>
<td align="center">0.981&#x2a;&#x2a;&#x2a;</td>
<td rowspan="2" align="center"/>
</tr>
<tr>
<td align="center">(1021.53)</td>
<td align="center">(1256.70)</td>
</tr>
<tr>
<td rowspan="2" align="center">&#x3bb;</td>
<td rowspan="2" align="center"/>
<td rowspan="2" align="center"/>
<td align="center">0.981&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="center">(1094.04)</td>
</tr>
<tr>
<td align="center">Control Variables</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
</tr>
<tr>
<td align="center">City FE</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
</tr>
<tr>
<td align="center">Year FE</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
</tr>
<tr>
<td align="center">AIC</td>
<td align="center">&#x2212;10135.89</td>
<td align="center">&#x2212;9919.769</td>
<td align="center">&#x2212;9876.847</td>
</tr>
<tr>
<td align="center">BIC</td>
<td align="center">&#x2212;10050.07</td>
<td align="center">&#x2212;9852.335</td>
<td align="center">&#x2212;9827.804</td>
</tr>
<tr>
<td align="center">Log Lik.</td>
<td align="center">5081.9472</td>
<td align="center">4970.8846</td>
<td align="center">4946.4237</td>
</tr>
<tr>
<td align="center">N</td>
<td align="center">3396</td>
<td align="center">3396</td>
<td align="center">3396</td>
</tr>
<tr>
<td align="center">Within-R<sup>2</sup>
</td>
<td align="center">0.5450</td>
<td align="center">0.6695</td>
<td align="center">0.4419</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn id="Tfn4">
<label>
<sup>a</sup>
</label>
<p>Notes:&#x2a;, &#x2a;&#x2a;, and &#x2a;&#x2a;&#x2a; represent the significance levels at 1%, 5%, and 10%, respectively; z-values are in parentheses; &#x3c1;, represents the spatial autoregressive coefficient of PM2.5; &#x3bb;, represents the autocorrelation coefficient of error term.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>As we can see from <xref ref-type="table" rid="T8">Table 8</xref>, the coefficients of FTZ are still significantly negative in all models, and the absolute value of the coefficient just slightly increase or decrease compared to the results in benchmark regression, hence the PSM-SDID robustness check is passed.</p>
</sec>
<sec id="s4-3-4">
<title>4.3.4 Placebo test</title>
<p>In this part, we designed a placebo test to further confirm the effectiveness of the benchmark regression results. Since FTZ is a 0&#x2013;1 variable, which is likely to produce accidental effects, we conducted a placebo trial, specifically, we denote each city a random FTZ value (0 or 1) to conduct a wrong estimation, then repeating the process for 500 times and producing 500 wrong coefficients through regression. <xref ref-type="fig" rid="F5">Figure 5</xref> shows the distribution of coefficients estimated of the fake FTZ of the regression results randomly sampled 500 times by bootstrap method, the results include the placebo test of total, direct and indirect effects.</p>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption>
<p>Placebo test results (total, direct, indirect effects).</p>
</caption>
<graphic xlink:href="fenvs-10-1075138-g005.tif"/>
</fig>
<p>In <xref ref-type="fig" rid="F5">Figure 5</xref>, the value represented by the solid line perpendicular to the coordinate axis is 0, and the sampling result obeys a normal distribution centered at 0, so the sampling results are all credible. The dotted line represents the actual influence coefficient of FTZ on PM2.5 of &#x2212;49.70, &#x2212;.027, and &#x2212;49.67. Only a few coefficients obtained by sampling fall near the dotted line, thus, the placebo test is passed.</p>
</sec>
<sec id="s4-3-5">
<title>4.3.5 Adjacency spatial matrix</title>
<p>Instead of using the inverse distance matrix, in this part, we use the adjacency spatial matrix to conduct the benchmark regression as a supplement. The adjacency matrix is a 0&#x2013;1 matrix representing the adjacency relationship of cities. If two cities are neighboring, the value takes 1, and if they are not adjacent, it takes 0.</p>
<p>
<xref ref-type="table" rid="T9">Table 9</xref> illustrates the results of regression results with the adjacency matrix, the coefficients of FTZ are all significantly negative, verifying the robustness of the benchmark regression again.</p>
<table-wrap id="T9" position="float">
<label>TABLE 9</label>
<caption>
<p>Results with adjacency spatial matrix.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">Variables</th>
<th align="center">SDM-DID (1)</th>
<th align="center">SAR-DID (2)</th>
<th align="center">SEM-DID (3)</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td rowspan="2" align="center">FTZ</td>
<td align="center">&#x2212;0.043&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2212;0.027&#x2a;&#x2a;</td>
<td align="center">&#x2212;0.30&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="center">(&#x2212;3.67)</td>
<td align="center">(&#x2212;1.98)</td>
<td align="center">(&#x2212;2.24)</td>
</tr>
<tr>
<td rowspan="2" align="center">&#x3c1;</td>
<td align="center">0.546&#x2a;&#x2a;&#x2a;</td>
<td align="center">2.30&#x2a;&#x2a;&#x2a;</td>
<td rowspan="2" align="center"/>
</tr>
<tr>
<td align="center">(35.3)</td>
<td align="center">(18.94)</td>
</tr>
<tr>
<td rowspan="2" align="center">&#x3bb;</td>
<td rowspan="2" align="center"/>
<td rowspan="2" align="center"/>
<td align="center">1.958&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="center">(23.38)</td>
</tr>
<tr>
<td align="center">Control Variables</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
</tr>
<tr>
<td align="center">City FE</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
</tr>
<tr>
<td align="center">Year FE</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
</tr>
<tr>
<td align="center">AIC</td>
<td align="center">&#x2212;6508.061</td>
<td align="center">&#x2212;9228.086</td>
<td align="center">&#x2212;9323.009</td>
</tr>
<tr>
<td align="center">BIC</td>
<td align="center">&#x2212;6409.975</td>
<td align="center">&#x2212;9166.782</td>
<td align="center">&#x2212;9261.706</td>
</tr>
<tr>
<td align="center">Log Lik.</td>
<td align="center">3270.0304</td>
<td align="center">4624.0429</td>
<td align="center">4671.5046</td>
</tr>
<tr>
<td align="center">N</td>
<td align="center">3396</td>
<td align="center">3396</td>
<td align="center">3396</td>
</tr>
<tr>
<td align="center">Within-R<sup>2</sup>
</td>
<td align="center">0.7491</td>
<td align="center">0.0767</td>
<td align="center">0.3810</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn id="Tfn5">
<label>
<sup>a</sup>
</label>
<p>Notes:&#x2a;, &#x2a;&#x2a;, and &#x2a;&#x2a;&#x2a; represent the significance levels at 1%, 5%, and 10%, respectively; z-values are in parentheses.</p>
</fn>
</table-wrap-foot>
</table-wrap>
</sec>
</sec>
<sec id="s4-4">
<title>4.4 Mechanism analysis</title>
<p>Based on the theoretical analysis above, this paper conjectures that pilot free trade zones can reduce air pollution through mechanisms such as attracting foreign direct investment, upgrading industrial structures, and strengthening environmental regulations. All the four variables have distinct spatial spillover properties, which means that FTZ may have spatial effects on these variables, the change of ER, IDS, SE, FDI in FTZ will possibly lead to a change in the surrounding areas, because the enhancement of environmental regulation may cause the imitation of the surrounding governments or may lead to the escape of some companies in the local area (<xref ref-type="bibr" rid="B14">Deng et al., 2021</xref>); the upgrading of the industrial structure in FTZ may cause the secondary industry to flow to the surrounding areas, or the preferential policies of FTZ may drive the industries in the surrounding areas to transfer to the tertiary industry (<xref ref-type="bibr" rid="B8">Chen et al., 2022</xref>); the development of science and technology may attract more corporations from neighboring cities as the adcanced technology can save their costs (<xref ref-type="bibr" rid="B54">Yuan and Yuan, 20221020</xref>); FDI attracted by FTZ also can bring benefits to adjacent cities (<xref ref-type="bibr" rid="B43">Tanaka and Hashiguchi, 2015</xref>). Thus, in this part, this paper establishes the following two-stage mediating effect models based on the SDM-DID model to conduct empirical research on the influencing mechanism.</p>
<p>In the first stage, we investigate the effects of FTZ on the mediating variables with the following formula:<disp-formula id="e9">
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<label>(9)</label>
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<p>In the second stage, we explore the effects of the mediating variables on air pollution level based on the following formula:<disp-formula id="e10">
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</mml:msub>
<mml:msub>
<mml:mi>M</mml:mi>
<mml:mrow>
<mml:mi>k</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:mi>&#x3c9;</mml:mi>
<mml:mi>W</mml:mi>
<mml:msub>
<mml:mi>M</mml:mi>
<mml:mrow>
<mml:mi>k</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:mi>&#x3b3;</mml:mi>
<mml:msub>
<mml:mi>X</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3b8;</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:mi>W</mml:mi>
<mml:msub>
<mml:mi>X</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3bc;</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3b4;</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3b5;</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
<label>(10)</label>
</disp-formula>Where Mi represents the mediating variables, <inline-formula id="inf14">
<mml:math id="m24">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b1;</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> represents the constant term, and represents the fixed effect of control. <inline-formula id="inf15">
<mml:math id="m25">
<mml:mrow>
<mml:msub>
<mml:mi>X</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> contains a series of control variables, which are the same as the control variables in the benchmark regression. Other variables are consistent with the baseline regression. The results are shown in <xref ref-type="table" rid="T10">Table 10</xref>.</p>
<table-wrap id="T10" position="float">
<label>TABLE 10</label>
<caption>
<p>Mechanism research results.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">Variables</th>
<th align="center">IDS (1)</th>
<th align="center">APE (2)</th>
<th align="center">FDI (3)</th>
<th align="center">APE (4)</th>
<th align="center">ER (5)</th>
<th align="center">APE (6)</th>
<th align="center">SE (7)</th>
<th align="center">APE (8)</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td rowspan="2" align="center">FTZ</td>
<td align="center">&#x2212;0.26&#x2a;&#x2a;&#x2a;</td>
<td rowspan="2" align="center">&#x2212;0.028&#x2a;&#x2a;</td>
<td align="center">0.30&#x2a;&#x2a;&#x2a;</td>
<td rowspan="2" align="center">&#x2212;0.030&#x2a;&#x2a;&#x2a;</td>
<td rowspan="2" align="center">7.80&#x2a;&#x2a;&#x2a;</td>
<td rowspan="2" align="center">&#x2212;0.027&#x2a;&#x2a;&#x2a;</td>
<td align="center">0.21&#x2a;&#x2a;&#x2a;</td>
<td rowspan="2" align="center">&#x2212;0.024&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="center">(&#x2212;5.37)</td>
<td align="center">(3.12)</td>
<td align="center">(2.56)</td>
</tr>
<tr>
<td rowspan="2" align="center">IDS</td>
<td rowspan="2" align="center"/>
<td align="center">0.06&#x2a;</td>
<td rowspan="2" align="center"/>
<td rowspan="2" align="center"/>
<td rowspan="2" align="center"/>
<td rowspan="2" align="center"/>
<td rowspan="2" align="center"/>
<td rowspan="2" align="center"/>
</tr>
<tr>
<td align="center">(1.73)</td>
</tr>
<tr>
<td rowspan="2" align="center">FDI</td>
<td rowspan="2" align="center"/>
<td rowspan="2" align="center"/>
<td rowspan="2" align="center"/>
<td align="center">&#x2212;0.002&#x2a;&#x2a;</td>
<td rowspan="2" align="center"/>
<td rowspan="2" align="center"/>
<td rowspan="2" align="center"/>
<td rowspan="2" align="center"/>
</tr>
<tr>
<td align="center">(&#x2212;1.85)</td>
</tr>
<tr>
<td rowspan="2" align="center">ER</td>
<td rowspan="2" align="center"/>
<td rowspan="2" align="center"/>
<td rowspan="2" align="center"/>
<td rowspan="2" align="center"/>
<td rowspan="2" align="center"/>
<td align="center">&#x2212;0.09&#x2a;</td>
<td rowspan="2" align="center"/>
<td rowspan="2" align="center"/>
</tr>
<tr>
<td align="center">(&#x2212;1.67)</td>
</tr>
<tr>
<td rowspan="2" align="center">SE</td>
<td rowspan="2" align="center"/>
<td rowspan="2" align="center"/>
<td rowspan="2" align="center"/>
<td rowspan="2" align="center"/>
<td rowspan="2" align="center"/>
<td rowspan="2" align="center"/>
<td rowspan="2" align="center"/>
<td align="center">&#x2212;0.01&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="center">(&#x2212;4.85)</td>
</tr>
<tr>
<td align="center">Control Variables</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
</tr>
<tr>
<td align="center">City FE</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
</tr>
<tr>
<td align="center">Year FE</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
</tr>
<tr>
<td align="center">Log Lik.</td>
<td align="center">&#x2212;4030.365</td>
<td align="center">4936.851</td>
<td align="center">&#x2212;3962.778</td>
<td align="center">4044.4196</td>
<td align="center">&#x2212;0.001</td>
<td align="center">4049.548</td>
<td align="center">&#x2212;1980.797</td>
<td align="center">4029.305</td>
</tr>
<tr>
<td align="center">N</td>
<td align="center">3396</td>
<td align="center">3396</td>
<td align="center">3396</td>
<td align="center">3396</td>
<td align="center">3396</td>
<td align="center">3396</td>
<td align="center">3396</td>
<td align="center">3396</td>
</tr>
<tr>
<td align="center">Within-R<sup>2</sup>
</td>
<td align="center">0.0847</td>
<td align="center">0.6894</td>
<td align="center">0.0132</td>
<td align="center">0.0659</td>
<td align="center">0.0334</td>
<td align="center">0.0434</td>
<td align="center">0.4198</td>
<td align="center">0.6720</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn id="Tfn6">
<label>
<sup>a</sup>
</label>
<p>Notes:&#x2a;, &#x2a;&#x2a;, and &#x2a;&#x2a;&#x2a; represent the significance levels at 1%, 5%, and 10%, respectively.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>It can be seen in <xref ref-type="table" rid="T10">Table 10</xref> that the coefficients of all variables are significant at the 10% level and above, indicating that all the mediating variables pass the mediating effect test. Specifically, from the sign of the coefficient we can see that FTZ can significantly reduce air pollution by reducing the ratio of the secondary industry to the tertiary industry and promoting industrial upgrading. Meanwhile, since foreign direct investment, environmental regulation, and scientific research investment have a positive impact on controlling air pollution, FTZ also reduces air pollution by increasing foreign investment, scientific and technological investment, and strengthening environmental regulation.</p>
</sec>
<sec id="s4-5">
<title>4.5 Heterogeneity analysis</title>
<p>China has a vast territory, and there are great regional differences in various regions, such as differences in energy endowments, economic development, and geographical conditions. However, the previous empirical results based on the overall sample did not consider regional differences in city location, size and city type, thus we perform heterogeneity tests in this section. First of all, as the eastern region carried out reform and opening up earlier than the central and western regions, the opening degree and economic development level of the eastern region are generally better than that of the central and western regions, and the pollution control efficiency of eastern regions might be better (<xref ref-type="bibr" rid="B57">Zhang et al., 141478</xref>). From the perspective of city size, the expansion of cities produces agglomeration effects, but large cities have more urban diseases, such as traffic congestion and environmental pollution, thus the air pollution reduction effect should vary by different size of each city. As for city type, provincial capitals, municipalities directly under the central government and sub-provincial cities are regarded as central cities, which are different from other cities in many aspects like economic scale and political characteristics, which may result in different policy impact. Therefore, the impact of FTZs may differ depending on their location, type, and scale. Thus, this paper adopts Spatial Differences-in-Differences-in-Differences (SDDD) for further heterogeneity analysis (<xref ref-type="bibr" rid="B2">Cai et al., 2016</xref>).</p>
<p>According to the criterion of the National Bureau of Statistics in China (<xref ref-type="bibr" rid="B17">Feng et al., 2021</xref>), we divided the 283 cities in 30 provinces into two parts:eastern&#x3001;western and central areas.1 The SDDD model is expressed as model (11):<disp-formula id="e11">
<mml:math id="m26">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>A</mml:mi>
<mml:mi>P</mml:mi>
<mml:mi>E</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mi>&#x3b2;</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3b2;</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
<mml:msub>
<mml:mrow>
<mml:mi>F</mml:mi>
<mml:mi>T</mml:mi>
<mml:mi>Z</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3b2;</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:msub>
<mml:mi>X</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:mi>W</mml:mi>
<mml:mi>&#x3b8;</mml:mi>
<mml:msub>
<mml:mi>X</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:mi>&#x3c1;</mml:mi>
<mml:msub>
<mml:mrow>
<mml:mi>A</mml:mi>
<mml:mi>P</mml:mi>
<mml:mi>E</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mi>W</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3b2;</mml:mi>
<mml:mn>3</mml:mn>
</mml:msub>
<mml:mi>W</mml:mi>
<mml:msub>
<mml:mrow>
<mml:mi>F</mml:mi>
<mml:mi>T</mml:mi>
<mml:mi>Z</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3b2;</mml:mi>
<mml:mn>4</mml:mn>
</mml:msub>
<mml:msub>
<mml:mrow>
<mml:mi>F</mml:mi>
<mml:mi>T</mml:mi>
<mml:mi>Z</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#xd7;</mml:mo>
<mml:msub>
<mml:mi>H</mml:mi>
<mml:mrow>
<mml:mi>I</mml:mi>
<mml:mi>T</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3b2;</mml:mi>
<mml:mn>5</mml:mn>
</mml:msub>
<mml:mi>W</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>F</mml:mi>
<mml:mi>T</mml:mi>
<mml:mi>Z</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#xd7;</mml:mo>
<mml:msub>
<mml:mi>H</mml:mi>
<mml:mrow>
<mml:mi>I</mml:mi>
<mml:mi>T</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3bc;</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3b4;</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3b5;</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
<label>(11)</label>
</disp-formula>Where H are variables describing heterogeneity including EAST (dummy variable, 1 if city is in eastern China, otherwise is 0), SIZE (city size represented by the logarithm of city population) and CAPITAL (dummy variable, 1 if it is a Provincial capital city 2, otherwise is 0), the other variables are the same as that in the benchmark regression. <xref ref-type="table" rid="T11">Table 11</xref> shows the results of the direct and indirect effects of the heterogeneity analysis.</p>
<table-wrap id="T11" position="float">
<label>TABLE 11</label>
<caption>
<p>Direct and indirect effects of the heterogeneity analysis.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">Direct effects</th>
<th align="center">(1)</th>
<th align="center">(2)</th>
<th align="center">(3)</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td rowspan="2" align="center">FTZ</td>
<td align="center">&#x2212;0.25&#x2a;&#x2a;&#x2a;</td>
<td align="center">0.71&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2212;0.04&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="center">(&#x2212;6.16)</td>
<td align="center">(3.45)</td>
<td align="center">(&#x2212;2.20)</td>
</tr>
<tr>
<td rowspan="2" align="center">FTZ&#xd7;EAST</td>
<td align="center">0.081&#x2a;&#x2a;</td>
<td rowspan="2" align="center"/>
<td rowspan="2" align="center"/>
</tr>
<tr>
<td align="center">(2.21)</td>
</tr>
<tr>
<td rowspan="2" align="center">FTZ&#xd7;SIZE</td>
<td rowspan="2" align="center"/>
<td align="center">&#x2212;0.15&#x2a;&#x2a;&#x2a;</td>
<td rowspan="2" align="center"/>
</tr>
<tr>
<td align="center">(&#x2212;4.24)</td>
</tr>
<tr>
<td rowspan="2" align="center">FTZ&#xd7;CAPITAL</td>
<td rowspan="2" align="center"/>
<td rowspan="2" align="center"/>
<td align="center">&#x2212;0.004&#x2a;</td>
</tr>
<tr>
<td align="center">(&#x2212;2.0)</td>
</tr>
<tr>
<td colspan="4" align="center">Indirect effects</td>
</tr>
<tr>
<td rowspan="2" align="center">FTZ</td>
<td align="center">&#x2212;59.29&#x2a;&#x2a;&#x2a;</td>
<td align="center">152.55&#x2a;&#x2a;&#x2a;</td>
<td align="center">2.42&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="center">(&#x2212;5.95)</td>
<td align="center">(3.06)</td>
<td align="center">(6.45)</td>
</tr>
<tr>
<td rowspan="2" align="center">FTZ &#xd7; EAST</td>
<td align="center">20.05&#x2a;&#x2a;</td>
<td rowspan="2" align="center"/>
<td rowspan="2" align="center"/>
</tr>
<tr>
<td align="center">(2.26)</td>
</tr>
<tr>
<td rowspan="2" align="center">FTZ &#xd7; SIZE</td>
<td rowspan="2" align="center"/>
<td align="center">&#x2212;32.55&#x2a;&#x2a;&#x2a;</td>
<td rowspan="2" align="center"/>
</tr>
<tr>
<td align="center">(&#x2212;3.86)</td>
</tr>
<tr>
<td rowspan="2" align="center">FTZ &#xd7; CENTRAL</td>
<td rowspan="2" align="center"/>
<td rowspan="2" align="center"/>
<td align="center">&#x2212;6.07&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="center">(&#x2212;9.12)</td>
</tr>
<tr>
<td align="center">Control Variables</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
</tr>
<tr>
<td align="center">City FE</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
</tr>
<tr>
<td align="center">Year FE</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
</tr>
<tr>
<td align="center">Log Lik.</td>
<td align="center">5110.6289</td>
<td align="center">5118.5262</td>
<td align="center">5325.7949</td>
</tr>
<tr>
<td align="center">N</td>
<td align="center">3396</td>
<td align="center">3396</td>
<td align="center">3396</td>
</tr>
<tr>
<td align="center">Within-R<sup>2</sup>
</td>
<td align="center">0.4256</td>
<td align="center">0.4331</td>
<td align="center">0.7489</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn id="Tfn7">
<label>
<sup>a</sup>
</label>
<p>Notes:&#x2a;, &#x2a;&#x2a;, and &#x2a;&#x2a;&#x2a; represent the significance levels at 1%, 5%, and 10%, respectively; z-values are in parentheses.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>The results reveal that the heterogeneity in city location, city size and city type exist. From the perspective of the coefficients, the signs of the coefficients of the direct effect and the indirect effect remain the same. In column 1), the coefficients of FTZ are both significantly negative at the 1% level, while the coefficients of FTZ&#xd7;EAST are significantly positive at the 5% level. It means that the air pollution reduction effect of FTZ on cities in the eastern region is weaker than that in the central and western regions. That&#x2019;s because the proportion of the tertiary industry in the eastern cities is higher than that in the central and western cities. At the same time, the eastern coastal areas have abundant rainfall and pleasant climate, so the air pollution is generally low, hence the pollution reduction effect is not obvious. In column 2), the coefficient of FTZ is significantly positive at the 1% level and the coefficient of FTZ&#xd7;SIZE is significantly negative at the 1% level, indicating that the effect of the FTZ policy on reducing air pollution only exists when the scale of the city reaches a certain level. The trade volume of the free trade zone in large cities is higher, attracting more foreign capital and technological innovation, and the emission reduction effect will be shown. As for column 3), the coefficients of FTZ&#xd7;CAPITAL in both direct effects and indirect effects are significantly negative, which means that FTZ in central cities have more air pollution reduction effects on both provincial capital city itself and neighboring cities. Provincial capital cities are typically more developed, with a massive economy, comprehensive systems, and strong government enforcement, which leads to more efficient execution of FTZ regulations and attracting more foreign investors, causing a greater decrease in emission levels.</p>
</sec>
</sec>
<sec sec-type="discussion" id="s5">
<title>5 Discussion</title>
<p>The statistical evidence above imply that the two assumptions of this research are validated. Nowadays, governments all around the world are concerned about environmental changes; the Chinese government is not excepted, and has introduced several environmental laws, such as carbon emission trading, to limit pollution emissions. (<xref ref-type="bibr" rid="B48">Xu and Lin, 2022</xref>). At the same time, China&#x2019;s president has announced plans for carbon peaking in 2030 and carbon neutrality in 2060, demonstrating China&#x2019;s willingness to inhibit pollution emissions (<xref ref-type="bibr" rid="B50">Xu, 2021</xref>). The original intention of the free trade zone policy is to promote the trade and exchanges between China and other countries under the background of economic globalization, so as to achieve the purpose of promoting the high-speed growth of the bilateral economy. When promoting economic growth, if the free trade zone can reduce environmental pollution at the same time, it will be of great significance for the green development of Chinese cities (<xref ref-type="bibr" rid="B1">Antweiler et al., 2001</xref>). The empirical results of this paper prove that the implementation of the free trade zone policy not only significantly improves the air quality in the region, but also significantly suppresses the air pollution in the surrounding cities, which illustrates the necessity of the implementation of the FTZ policy, and shows that implementing the FTZ policy is worthwhile for the Chinese government, and FTZ should continue to be promoted in China (<xref ref-type="bibr" rid="B31">Li and Liu, 20201191</xref>). Moreover, the emission reduction spillover effects of FTZs derived in this paper may also indicate that the establishment of FTZs will lead to a trend of regional integration of FTZs with surrounding cities, and regional integration can improve energy use efficiency and reduce emissions (<xref ref-type="bibr" rid="B52">Yu et al., 104285</xref>).</p>
<p>In addition, this paper also explores the mechanism of the action of FTZ policy, and provides a reference for further realizing the effect of FTZ in reducing air pollution. The original intention of FTZ is to attract foreign capital to promote regional economic growth, and while economic growth, capital flow can also drive industrial structural changes and technological development (<xref ref-type="bibr" rid="B26">Jiang et al., 2021</xref>). As a result of integration, more business possibilities are drawn. As a result, there is no dispute that FTZs can assist to reduce air pollution. Finally, the heterogeneity test discovered that the FTZ policy&#x2019;s emission reduction effect is more useful for large cities, as well as central and western cities, which may be due to the fact that eastern regions and small cities are less polluted and difficult to further reduce, or that large cities are more polluted. The function of industrial agglomeration in central and western cities, as well as the agglomeration problem. The heterogeneity analysis findings can also be utilized to inform future policy formulation.</p>
</sec>
<sec id="s6">
<title>6 Conclusions and policy recommendations</title>
<p>Based on the above results, this paper draws the following conclusions: 1) The establishment of free trade zones can inhibit the promotion of air pollution in cities and surrounding cities. 2) The establishment of the free trade zone improves air quality by attracting foreign investment, upgrading the industrial structure, prompting the local government to increase environmental regulation and scientific and technological investment. 3) The air pollution reduction effect of free trade zones is more effective for central and western cities and cities with large population.</p>
<p>According to the results, the following recommendations can be drawn: 1) The government should continue to implement the free trade zone policy and establish free trade zones in most cities across the country in the future. 2) Relax policies to attract foreign investment, strengthen local environmental regulations in free trade zones, increase the proportion of investment in science and technology, and use free trade zones to drive the overall upgrading of the industrial structure. 3) Optimize the spatial layout of the free trade zone area. Under the premise of meeting the conditions for FTZ establishment, the FTZ policy can be tilted to central and western cities and large cities with large populations when appointing the next batch of free trade zones. 4) For cities with strong radiation capability, more subzones can be set up around FTZ to play the role of network nodes and spatial spillover to drive regional green economic development in a wider scope. 5) In the process of FTZ construction, local government should develop the supporting industrial infrastructure, absorbing domestic and foreign high-tech enterprises to join and accelerate the transformation of the industrial structure in the FTZ area. 6) At the same time, based on the spillover effect of FTZ, the cities around FTZ should actively absorb the emission reduction effect generated by FTZ construction, promote industrial structure transformation as well as green innovation development, and realize the unity of economic development and environmental protection.</p>
<p>Despite the extensive work done in this paper, there are still some shortcomings exist in this paper: 1) PM10, SO<sub>2</sub>, CO and other major air pollutants were not included as explained variables; 2) SAC-DID model was not applied in this study; 3) This paper did not introduce the economic distance matrix as a supplement to the inverse distance matrix and adjacency matrix; 4) Apart from the spatial effects, this paper did not study the local effects of FTZ on air pollution by DID. In future research, the green effects of FTZs can be studied in the following aspects: 1) Exploring the relationship between FTZ and regional green development; 2) Studying the relationship between FTZ and carbon emissions; 3) Using Data from listed companies in the FTZ and import and export data of customs to study specific paths of reducing environmental pollution in the FTZ.</p>
</sec>
</body>
<back>
<sec sec-type="data-availability" id="s7">
<title>Data availability statement</title>
<p>The original contributions presented in the study are included in the article/supplementary material, further inquiries can be directed to the corresponding author.</p>
</sec>
<sec id="s8">
<title>Author contributions</title>
<p>BL conducted research, make tables and graphs and revised the paper. BX helped perform empirical research, wrote the original paper and proofreading the paper. PL helped making figures and tables, writing codes and colleted data, as well as revising the paper. MZ helped collect data, doing literature review and revise the paper. WX conceived the concepts, conducted the empirical reseach, and wrote the original manuscript. All authors reviewed and approved the final version of this paper. BL, BX, and PL share the first authorship.</p>
</sec>
<sec sec-type="COI-statement" id="s9">
<title>Conflict of interest</title>
<p>The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec sec-type="disclaimer" id="s10">
<title>Publisher&#x2019;s note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
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