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<journal-id journal-id-type="publisher-id">Front. Public Health</journal-id>
<journal-title>Frontiers in Public Health</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Public Health</abbrev-journal-title>
<issn pub-type="epub">2296-2565</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
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<article-meta>
<article-id pub-id-type="doi">10.3389/fpubh.2023.1301627</article-id>
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<subj-group subj-group-type="heading">
<subject>Public Health</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Effects of information and communication technology on total-factor carbon emission efficiency and the health co-benefits</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name><surname>Linghu</surname> <given-names>Jingying</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
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</contrib>
<contrib contrib-type="author">
<name><surname>Wojewodzki</surname> <given-names>Michal</given-names></name>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
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<contrib contrib-type="author" corresp="yes">
<name><surname>Cheong</surname> <given-names>Tsun Se</given-names></name>
<xref ref-type="aff" rid="aff3"><sup>3</sup></xref>
<xref ref-type="corresp" rid="c001"><sup>&#x0002A;</sup></xref>
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<aff id="aff1"><sup>1</sup><institution>Business School, Beijing Normal University</institution>, <addr-line>Beijing</addr-line>, <country>China</country></aff>
<aff id="aff2"><sup>2</sup><institution>College of Business, University of Doha for Science and Technology</institution>, <addr-line>Doha</addr-line>, <country>Qatar</country></aff>
<aff id="aff3"><sup>3</sup><institution>School of Business, The Hang Seng University of Hong Kong, Hong Kong</institution>, <addr-line>Hong Kong SAR</addr-line>, <country>China</country></aff>
<author-notes>
<fn fn-type="edited-by"><p>Edited by: Hai Fang, Peking University, China</p></fn>
<fn fn-type="edited-by"><p>Reviewed by: Marian Rizov, University of Lincoln, United Kingdom</p>
<p>Wei Lang, Sun Yat-sen University, China</p></fn>
<corresp id="c001">&#x0002A;Correspondence: Tsun Se Cheong <email>jamescheong&#x00040;hsu.edu.hk</email></corresp>
</author-notes>
<pub-date pub-type="epub">
<day>05</day>
<month>01</month>
<year>2024</year>
</pub-date>
<pub-date pub-type="collection">
<year>2023</year>
</pub-date>
<volume>11</volume>
<elocation-id>1301627</elocation-id>
<history>
<date date-type="received">
<day>25</day>
<month>09</month>
<year>2023</year>
</date>
<date date-type="accepted">
<day>11</day>
<month>12</month>
<year>2023</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#x000A9; 2024 Linghu, Wojewodzki and Cheong.</copyright-statement>
<copyright-year>2024</copyright-year>
<copyright-holder>Linghu, Wojewodzki and Cheong</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>Information and communication technology (ICT) has great potential to propel economic development toward a low-carbon direction. This study aims to investigate the effect of ICT development on total-factor carbon emission efficiency (TFCEE), as well as its public health co-benefits. We use dynamic (threshold) models and a panel of 30 Chinese provinces from 2008 to 2019. The results suggest that ICT significantly and positively impacts the TFCEE. Specifically, for every 10 per cent increase in the internet development index, the TFCEE increases by 0.11 per cent. Moreover, we find that ICT development indirectly improves the TFCEE by promoting green innovation and energy structure optimization. Furthermore, when green innovation (energy structure represented by the share of coal) switches from below to above (above to below) its threshold value, the promotion effect of ICT development on the TFCEE increases. Additionally, the results show that improving the TFCEE can lead to co-benefits in strengthening China&#x00027;s public health. This study delivers novel insights on promoting the TFCEE through the ICT channel and highlights its positive health-related externalities. Furthermore, we offer policy recommendations to Chinese decision-makers, which can apply to other emerging economies battling similar issues.</p></abstract>
<kwd-group>
<kwd>information and communication technology development</kwd>
<kwd>total-factor carbon emission efficiency</kwd>
<kwd>health</kwd>
<kwd>dynamic threshold model</kwd>
<kwd>moderating effect</kwd>
</kwd-group>
<counts>
<fig-count count="2"/>
<table-count count="9"/>
<equation-count count="5"/>
<ref-count count="61"/>
<page-count count="12"/>
<word-count count="8301"/>
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<custom-meta-wrap>
<custom-meta>
<meta-name>section-at-acceptance</meta-name>
<meta-value>Health Economics</meta-value>
</custom-meta>
</custom-meta-wrap>
</article-meta>
</front>
<body>
<sec id="s1">
<title>1 Introduction</title>
<p>While China&#x00027;s economy has grown significantly during the past four decades, its carbon emissions have increased dramatically. Consequently, China is the world&#x00027;s leading greenhouse gas emitter (<xref ref-type="bibr" rid="B1">1</xref>). Ample empirical evidence indicates that carbon emissions are among the significant factors threatening public health (<xref ref-type="bibr" rid="B2">2</xref>&#x02013;<xref ref-type="bibr" rid="B4">4</xref>). Thus, low-carbon transition has massive potential to bring public health co-benefits by directly reducing carbon dioxide inhalation, mitigating climate change, and reducing air pollutants that share emission sources with CO<sub>2</sub> (<xref ref-type="bibr" rid="B2">2</xref>, <xref ref-type="bibr" rid="B5">5</xref>&#x02013;<xref ref-type="bibr" rid="B7">7</xref>). Against the above backdrop, Chinese policymakers pledged to peak total CO<sub>2</sub> emissions by 2030 and to achieve carbon neutrality by 2060 (<xref ref-type="bibr" rid="B8">8</xref>) to maintain a balance between sustainability and carbon emissions. It is estimated that under the conditions of achieving the 1.5 C temperature goal and reaching the peak earlier than 2030, Chinese policymakers could prevent 118,000 (614,000) deaths by 2030 (2050) (<xref ref-type="bibr" rid="B9">9</xref>).</p>
<p>Notwithstanding, as an emerging economy, China needs to promote prolonged economic expansion. Thus, in the face of conflicting goals of carbon emissions reduction and continued economic growth, the key to resolving this dilemma is to improve the total-factor carbon emission efficiency (hereafter TFCEE) (<xref ref-type="bibr" rid="B10">10</xref>). TFCEE takes the GDP (carbon emissions) as the desired (undesired) output while considering the factor inputs of capital, labor and energy. As such, the TFCEE can effectively measure whether and to what extent regional development models meet the requirements of low-carbon transformation (<xref ref-type="bibr" rid="B11">11</xref>). Given the above backdrop, how to effectively improve the TFCEE has become a topical research question in recent environmental studies (<xref ref-type="bibr" rid="B10">10</xref>, <xref ref-type="bibr" rid="B12">12</xref>).</p>
<p>Since the 21<sup>st</sup> century, the integration of information and communication technology (hereafter ICT) with various sectors of the economy has shown an unstoppable trend. Countries worldwide endeavor to develop and harness ICT, with internet technology being an essential part of it. China&#x00027;s public internet access started in 1994, while in August 2013, the State Council issued the Broadband China policy vigorously promoting ICT infrastructure construction. The recent 50<sup>th</sup> Statistical Report released by the China Internet Network Information Center (<xref ref-type="bibr" rid="B13">13</xref>) shows that, between 2008 and 2022, internet penetration in China has more than tripled from 22.6 to 75.6 per cent (see <xref ref-type="fig" rid="F1">Figure 1</xref>).</p>
<fig id="F1" position="float">
<label>Figure 1</label>
<caption><p>China&#x00027;s internet penetration growth in percentage terms from 2008 to 2022. Source: CNNIC, 2008-2022.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fpubh-11-1301627-g0001.tif"/>
</fig>
<p>Many studies investigate the effect of ICT or internet development on variables related to energy or carbon emissions, but the results remain inconclusive. Some scholars argue that ICT-related factors reduce carbon intensity (<xref ref-type="bibr" rid="B14">14</xref>). Others find that internet development increases enterprise energy efficiency (<xref ref-type="bibr" rid="B15">15</xref>) and improves the TFCEE (<xref ref-type="bibr" rid="B11">11</xref>, <xref ref-type="bibr" rid="B16">16</xref>). On the contrary (<xref ref-type="bibr" rid="B17">17</xref>, <xref ref-type="bibr" rid="B18">18</xref>), document that demand for ICT products increases carbon emissions and energy intensity. Overall, the existing literature has four important shortcomings. First, current studies ignore the suspected path dependence of TFCEE and use static regression models, which may yield estimation bias (<xref ref-type="bibr" rid="B11">11</xref>, <xref ref-type="bibr" rid="B16">16</xref>). Second, the mediation and threshold effects between ICT development and TFCEE have not received adequate attention. Third, while limited studies show a positive (negative) association between ICT (carbon emissions) and public health in China (<xref ref-type="bibr" rid="B2">2</xref>, <xref ref-type="bibr" rid="B9">9</xref>, <xref ref-type="bibr" rid="B19">19</xref>), the health co-benefits from improving TFCEE remain unexplored.</p>
<p>Given the pivotal role of ICT in propelling China&#x00027;s economic development toward a low-carbon direction and the above-listed gaps in empirical research, our study has four main objectives. First, to investigate the relationship between ICT and TFCEE using a dynamic model. Second, to unveil how ICT impacts TFCEE through the mediation effect of green innovation and energy structure optimization and the threshold effect of ICT at different values of the two mediator variables. Finally, the study directly examines whether and how TFCEE improvement affects public health across 30 Chinese provinces.</p>
<p>Accordingly, the contributions of this study are as follows. We are the first to employ the dynamic model to identify the role of ICT in promoting TFCEE. Specifically, we use the two-step system generalized method of moments (hereafter 2SGMM), which accounts for the suspected path dependence (autoregressive process) of the TFCEE variable and mitigates the endogeneity problem. Moreover, we document nascent empirical evidence of the significantly beneficial effect of ICT on the TFCEE via its positive influence on green innovation and energy structure optimization. Additionally, we are the first to quantify the significantly different impact of ICT on the TFCEE concerning threshold levels of green innovation and energy structure. Finally, we deliver a novel contribution by documenting positive public health-related externalities associated with policies that improve the TFCEE through ICT development.</p>
<p>The remainder of this article is as follows: Section 2 presents a literature review. Section 3 develops the hypotheses, while Section 4 offers data and research methods. In Section 5, we outline and discuss the empirical results. We conclude the study and provide policy suggestions in Section 6.</p>
</sec>
<sec id="s2">
<title>2 Literature review</title>
<sec>
<title>2.1 TFCEE measurements</title>
<p>One can measure carbon emission efficiency by single-factor indicators, which usually reflect the interaction between carbon emissions and GDP. For example, CO<sub>2</sub> emissions intensity is the ratio of carbon emissions to GDP (<xref ref-type="bibr" rid="B1">1</xref>). However, single-factor indicators do not consider all the key inputs in the production process, as well as the substitution effect among inputs. Thus, single-factor indicators are not capable of fully measuring CO<sub>2</sub> emission efficiency (<xref ref-type="bibr" rid="B10">10</xref>). Because of this limitation, some studies add capital and labor inputs into the analysis of carbon emission efficiency and propose the TFCEE as an alternative superior indicator (<xref ref-type="bibr" rid="B20">20</xref>).</p>
<p>Using TFCEE, we can estimate more accurately whether the development pattern meets the sustainable requirement of economic growth and carbon abatement. Data envelopment analysis methods are widely used to calculate the TFCEE (<xref ref-type="bibr" rid="B10">10</xref>). For instance, the directional distance function (hereafter DDF) captures the production process, including the undesired output of carbon emissions (<xref ref-type="bibr" rid="B21">21</xref>). However, the original DDF model is limited to increasing (reducing) desired (undesired) outputs (and/or inputs) with the same ratio, thereby leading to an overestimation of efficiency when non-zero slacks exist (<xref ref-type="bibr" rid="B22">22</xref>). Therefore, scholars propose the non-radial directional distance function (hereafter NDDF) based on slack variables to solve such an acute problem (<xref ref-type="bibr" rid="B23">23</xref>).</p>
</sec>
<sec>
<title>2.2 ICT development and TFCEE nexus</title>
<p>Scholars examining the multifaceted effects of ICT/internet advancements on energy usage or carbon emissions deliver conflicting evidence. On the one hand, some researchers find that ICT/internet development reduces carbon emissions (<xref ref-type="bibr" rid="B24">24</xref>), CO<sub>2</sub> per capita (<xref ref-type="bibr" rid="B25">25</xref>), carbon intensity (<xref ref-type="bibr" rid="B14">14</xref>), and energy consumption (<xref ref-type="bibr" rid="B26">26</xref>) while improving energy efficiency (<xref ref-type="bibr" rid="B27">27</xref>). On the other hand, others argue that the ICT/internet threatens the sustainability of resources and the environment by increasing CO<sub>2</sub> emissions (<xref ref-type="bibr" rid="B17">17</xref>) and energy intensity (<xref ref-type="bibr" rid="B18">18</xref>). Moreover (<xref ref-type="bibr" rid="B28">28</xref>), point out that the impact of ICT on carbon emissions per capita is uncertain by documenting a positive (negative) relationship in the short (long) term. It is worth noting that the studies mentioned above use static models. However, the present value of the TFCEE is significantly influenced by its earlier values, which gives rise to a robust cumulative circularity (<xref ref-type="bibr" rid="B12">12</xref>, <xref ref-type="bibr" rid="B29">29</xref>).</p>
<p>Two recent studies exploring the ICT and TFCEE nexus in China use static models and reveal a positive relationship (<xref ref-type="bibr" rid="B11">11</xref>, <xref ref-type="bibr" rid="B16">16</xref>). Notwithstanding, some research suggests that there may be a threshold effect concerning the relationship between ICT progress and the environment or energy (<xref ref-type="bibr" rid="B30">30</xref>, <xref ref-type="bibr" rid="B31">31</xref>). However, to our knowledge, no studies have investigated the threshold effects in the context of ICT effects on the TFCEE.<xref ref-type="fn" rid="fn0001"><sup>1</sup></xref> Instead, researchers primarily use simple multivariate linear models, neglecting the jumping character or structural breaks in the relationship between ICT development and the TFCEE caused by changes in other economic variables (<xref ref-type="bibr" rid="B11">11</xref>, <xref ref-type="bibr" rid="B16">16</xref>).</p>
<p>Moreover, the relationship between the environment and health has long been one of the research hotspots (<xref ref-type="bibr" rid="B9">9</xref>, <xref ref-type="bibr" rid="B32">32</xref>, <xref ref-type="bibr" rid="B33">33</xref>). Studies examining China (1), the United States (2), and OECD countries (3) document the adverse effects of carbon dioxide on residents&#x00027; health. However, there is a considerable lack of research on the impact of TFCEE on health. Additionally, pregnant women are an environmentally sensitive group (<xref ref-type="bibr" rid="B34">34</xref>), and health literature has found a strong correlation between air pollution and maternal complications and mortality risk factors (<xref ref-type="bibr" rid="B35">35</xref>). However, the maternal group is often overlooked in environmentally related studies.</p>
</sec>
<sec>
<title>2.3 Research gaps</title>
<p>Summing up, the following deficiencies are found in the relevant empirical literature: (1) Existing research has not considered that the TFCEE is usually path-dependent (autoregressive process) and has used static models for estimation. (2) Few studies focus on the mediation and threshold effects between ICT development and the TFCEE. (3) Health benefits of the TFCEE improvement remain under-explored. Our study attempts to fill the above research gaps.</p>
</sec>
</sec>
<sec id="s3">
<title>3 Hypotheses development</title>
<sec>
<title>3.1 The direct effect of ICT development on the TFCEE</title>
<p>ICT relies on electricity, and thus, its development may also decrease the TFCEE. With the operation of technologies, e.g., 5G, cloud computing, and data centers, there is a need for a growing number of energy-intensive infrastructures (<xref ref-type="bibr" rid="B17">17</xref>). Furthermore, applying ICT in various fields may create more demand for ICT-related products and services, exerting pressure on energy demand and increasing carbon emissions (<xref ref-type="bibr" rid="B24">24</xref>).</p>
<p>Notwithstanding, ICT advancement directly improves the TFCEE in two ways. First, ICT promotes the low-carbon transition of people&#x00027;s work and lifestyles. For instance, paperless transmission, e-commerce, remote offices, and the sharing economy are gaining ground along with the development of ICT. These approaches achieve more effective utilization of resources and reduce emissions of CO<sub>2</sub> caused by logistics, transportation, and the functioning of building space (<xref ref-type="bibr" rid="B36">36</xref>), thereby directly improving the TFCEE. Second, ICT improvement substantially boosts the level of informatization in other industries. Regarding production, ICT plays a fundamental role in the practical implementation of an energy management system (EMS) (<xref ref-type="bibr" rid="B37">37</xref>). The EMS, in turn, automatically controls, adapts, and optimizes the energy networks and orderly configures and schedules the multiple energy systems, thereby increasing the efficiency of the energy system.</p>
<p>Summing up, most studies suggest a generally beneficial influence of ICT development on the TFCEE. In other words, extant empirical evidence indicates that the positive impact of ICT tends to outweigh its adverse side effects on the TFCEE (<xref ref-type="bibr" rid="B24">24</xref>). Accordingly, we propose hypothesis 1, stated below.</p>
<p><bold>Hypothesis 1</bold>. ICT development positively affects the TFCEE.</p>
</sec>
<sec>
<title>3.2 The mediation effect of green innovation</title>
<p>ICT development is conducive to green innovation via the generation, acquisition, processing, and exchange of information (<xref ref-type="bibr" rid="B38">38</xref>). Specifically, ICT expansion drives the growth of information related to environmentally sound technologies while improving search efficiency and decreasing the acquisition cost. Moreover, ICT advances dramatically enhance the ability of individuals and organizations to process information and transform enterprises from experience- to data-driven (<xref ref-type="bibr" rid="B39">39</xref>). ICT also forms innovation clusters by linking various innovative entities (e.g., firms, universities, R&#x00026;D institutions, and non-governmental organizations) together, thus facilitating communication, complementarity, and knowledge spillover among innovators (<xref ref-type="bibr" rid="B38">38</xref>). The mechanisms mentioned above increase the utilization of relevant information resources and the success rate of green innovation, thus promoting green innovation.</p>
<p>Green innovation, in turn, can significantly improve the TFCEE through the following mechanisms. First, some green technological advances (e.g., capturing and storing CO<sub>2</sub>) directly contribute to energy savings and carbon reduction (<xref ref-type="bibr" rid="B10">10</xref>). Likewise, air quality management and energy storage technologies enable the same output with less energy input and fewer emissions, leading to a higher TFCEE. Second, environmental innovations can help renovate and upgrade pollution treatment equipment (<xref ref-type="bibr" rid="B40">40</xref>). As such, assuming it is effectively adopted, green technology innovation optimizes production processes and promotes the low-carbon transformation of energy-intensive enterprises, thereby improving the TFCEE (<xref ref-type="bibr" rid="B41">41</xref>). Given the above backdrop, we propose a second hypothesis as follows.</p>
<p><bold>Hypothesis 2</bold>. ICT development significantly increases the TFCEE by promoting green innovation.</p>
</sec>
<sec>
<title>3.3 The mediation effect of energy structure optimization</title>
<p>ICT has motivated the so-called energy internet development (<xref ref-type="bibr" rid="B42">42</xref>), which uses cyberspace to identify, collect, analyse, transmit, and manage energy information. Furthermore, the energy internet integrates internet technology, multi-energy networks and technologies for renewable energy generation, enhancing system resilience and energy utilization efficiency and promoting renewable energy penetration (<xref ref-type="bibr" rid="B43">43</xref>). Additionally, the energy internet can overcome barriers to extraction, transmission, and control of large-scale clean energy projects and promote the transformation of economic development from traditional fossil fuels to a clean and efficient energy source (<xref ref-type="bibr" rid="B42">42</xref>). This process, in turn, drives the sustainable utilization of energy resources and promotes energy structure optimization. Moreover, with the growing popularity of the energy internet, clean energy usage is continuously expanding (e.g., electric vehicles), which further optimizes the energy structure.</p>
<p>Summing up, energy structure optimization increases the proportion of clean energy sources. Therefore, energy structure optimization can achieve the same economic output with fewer carbon emissions, improving the TFCEE (<xref ref-type="bibr" rid="B44">44</xref>). Given the above, we put forth hypothesis 3.</p>
<p><bold>Hypothesis 3</bold>. ICT development significantly increases the TFCEE by promoting energy structure optimization.</p>
</sec>
</sec>
<sec id="s4">
<title>4 Dataset, variables, and models</title>
<sec>
<title>4.1 Benchmark regression model</title>
<p>The relationship between ICT development and the TFCEE can be represented by the basic model as follows.</p>
<disp-formula id="E1"><label>(1)</label><mml:math id="M1"><mml:mtable class="eqnarray" columnalign="left"><mml:mtr><mml:mtd><mml:mi>T</mml:mi><mml:mi>F</mml:mi><mml:mi>C</mml:mi><mml:mi>E</mml:mi><mml:msub><mml:mrow><mml:mi>E</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mi>t</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mrow><mml:mi>&#x003B1;</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msub><mml:mo>&#x0002B;</mml:mo><mml:msub><mml:mrow><mml:mi>&#x003B1;</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow></mml:msub><mml:mi>I</mml:mi><mml:mi>C</mml:mi><mml:msub><mml:mrow><mml:mi>T</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mi>t</mml:mi></mml:mrow></mml:msub><mml:mo>&#x0002B;</mml:mo><mml:mi>&#x003B2;</mml:mi><mml:mtext>&#x000A0;</mml:mtext><mml:mi>C</mml:mi><mml:mi>o</mml:mi><mml:mi>n</mml:mi><mml:mi>t</mml:mi><mml:mi>r</mml:mi><mml:mi>o</mml:mi><mml:msub><mml:mrow><mml:mi>l</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mi>t</mml:mi></mml:mrow></mml:msub><mml:mo>&#x0002B;</mml:mo><mml:msub><mml:mrow><mml:mi>&#x003BC;</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi></mml:mrow></mml:msub><mml:mo>&#x0002B;</mml:mo><mml:msub><mml:mrow><mml:mi>&#x003B4;</mml:mi></mml:mrow><mml:mrow><mml:mi>t</mml:mi></mml:mrow></mml:msub><mml:mo>&#x0002B;</mml:mo><mml:msub><mml:mrow><mml:mi>&#x003B5;</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mi>t</mml:mi></mml:mrow></mml:msub></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
<p>Where <italic>TFCEE</italic><sub><italic>i, t</italic></sub> is the total-factor carbon emission efficiency in Chinese province <italic>i</italic> and year <italic>t</italic>. The <italic>ICT</italic> term represents ICT development, while the <italic>Control</italic> term represents a vector of five control variables, including provincial population (<italic>POP</italic>), science and technology expenditure intensity (<italic>TECH</italic>), economic development (<italic>GDP</italic>), degree of economic openness (<italic>OPEN</italic>) and industrial structure (<italic>IND</italic>). &#x003BC;<sub><italic>i</italic></sub> and &#x003B4;<sub><italic>t</italic></sub> are the province and time-fixed effects, respectively. &#x003B5;<sub><italic>i, t</italic></sub> is a random error term with zero mean, constant variance and is not serially correlated.</p>
<p>Given that the outcome variable <italic>TFCEE</italic> may be path-dependent (autoregressive process) (<xref ref-type="bibr" rid="B12">12</xref>, <xref ref-type="bibr" rid="B29">29</xref>), we introduce a first lag of the dependent variable (<italic>TFCEE</italic><sub><italic>i, t</italic>&#x02212;1</sub>) into the right-hand side of Equation (1). However, dynamic models tend to suffer from endogeneity issues. In contrast, the OLS and the Fixed Effects (FE) estimators would yield biased results (<xref ref-type="bibr" rid="B45">45</xref>). Therefore, we use 2SGMM<xref ref-type="fn" rid="fn0002"><sup>2</sup></xref> (<xref ref-type="bibr" rid="B46">46</xref>) to estimate the dynamic model [see Equation (2)], which tests hypothesis 1.</p>
<disp-formula id="E2"><label>(2)</label><mml:math id="M2"><mml:mtable columnalign='left'><mml:mtr><mml:mtd><mml:mi>T</mml:mi><mml:mi>F</mml:mi><mml:mi>C</mml:mi><mml:mi>E</mml:mi><mml:msub><mml:mi>E</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mi>t</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>&#x003B1;</mml:mi><mml:mn>0</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>&#x003B1;</mml:mi><mml:mn>1</mml:mn></mml:msub><mml:mi>T</mml:mi><mml:mi>F</mml:mi><mml:mi>C</mml:mi><mml:mi>E</mml:mi><mml:msub><mml:mi>E</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mi>t</mml:mi><mml:mo>&#x02212;</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>&#x003B1;</mml:mi><mml:mn>2</mml:mn></mml:msub><mml:mi>I</mml:mi><mml:mi>C</mml:mi><mml:msub><mml:mi>T</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mi>t</mml:mi></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:mi>&#x003B2;</mml:mi><mml:mtext>&#x000A0;</mml:mtext><mml:mi>C</mml:mi><mml:mi>o</mml:mi><mml:mi>n</mml:mi><mml:mi>t</mml:mi><mml:mi>r</mml:mi><mml:mi>o</mml:mi><mml:msub><mml:mi>l</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mi>t</mml:mi></mml:mrow></mml:msub></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mtext>&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;</mml:mtext><mml:mo>+</mml:mo><mml:msub><mml:mi>&#x003BC;</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>&#x003B4;</mml:mi><mml:mi>t</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>&#x003B5;</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mi>t</mml:mi></mml:mrow></mml:msub></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
</sec>
<sec>
<title>4.2 Mediation effects</title>
<p>Besides its direct effect, ICT development may also have two indirect effects on TFCEE, generally referred to as the mediation effects. To empirically examine such effects, Equation (3) is constructed as follows (<xref ref-type="bibr" rid="B47">47</xref>) to test hypotheses 2 and 3.</p>
<disp-formula id="E3"><label>(3)</label><mml:math id="M3"><mml:mtable columnalign='left'><mml:mtr><mml:mtd><mml:mi>M</mml:mi><mml:mi>E</mml:mi><mml:msub><mml:mi>D</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mi>t</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mo>&#x003BB;</mml:mo><mml:mn>0</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mo>&#x003BB;</mml:mo><mml:mn>1</mml:mn></mml:msub><mml:mi>M</mml:mi><mml:mi>E</mml:mi><mml:msub><mml:mi>D</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mi>t</mml:mi><mml:mo>&#x02212;</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mo>&#x003BB;</mml:mo><mml:mn>2</mml:mn></mml:msub><mml:mi>I</mml:mi><mml:mi>C</mml:mi><mml:msub><mml:mi>T</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mi>t</mml:mi></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:mi>&#x003B8;</mml:mi><mml:mtext>&#x000A0;</mml:mtext><mml:mi>C</mml:mi><mml:mi>o</mml:mi><mml:mi>n</mml:mi><mml:mi>t</mml:mi><mml:mi>r</mml:mi><mml:mi>o</mml:mi><mml:msub><mml:mi>l</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mi>t</mml:mi></mml:mrow></mml:msub></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mtext>&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;</mml:mtext><mml:mo>+</mml:mo><mml:msub><mml:mi>&#x003BC;</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>&#x003B4;</mml:mi><mml:mi>t</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>&#x003B5;</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mi>t</mml:mi></mml:mrow></mml:msub></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
<p>Where <italic>MED</italic> represents two mediator variables: green innovation (<italic>GINNO</italic>) and energy structure (<italic>ENER</italic>). If the coefficient of &#x003BB;<sub>1</sub>is significant, a mediation effect exists, and vice versa (<xref ref-type="bibr" rid="B47">47</xref>).</p>
</sec>
<sec>
<title>4.3 Dynamic threshold model</title>
<p>With changes in green innovation (<italic>GINNO</italic>) and energy structure (<italic>ENER</italic>), the impact mechanism between ICT development and the TFCEE may have a structural change&#x02014;that is, there may be a threshold effect (<xref ref-type="bibr" rid="B30">30</xref>). To examine this issue, we construct a dynamic threshold model (<xref ref-type="bibr" rid="B30">30</xref>) and present it below in Equation (4).</p>
<disp-formula id="E4"><label>(4)</label><mml:math id="M4"><mml:mtable columnalign='left'><mml:mtr><mml:mtd><mml:mi>T</mml:mi><mml:mi>F</mml:mi><mml:mi>C</mml:mi><mml:mi>E</mml:mi><mml:msub><mml:mi>E</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mi>t</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>&#x003B1;</mml:mi><mml:mn>0</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>&#x003B1;</mml:mi><mml:mn>1</mml:mn></mml:msub><mml:mi>T</mml:mi><mml:mi>F</mml:mi><mml:mi>C</mml:mi><mml:mi>E</mml:mi><mml:msub><mml:mi>E</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mi>t</mml:mi><mml:mo>&#x02212;</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>&#x003B1;</mml:mi><mml:mn>2</mml:mn></mml:msub><mml:mi>I</mml:mi><mml:mi>C</mml:mi><mml:msub><mml:mi>T</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mi>t</mml:mi></mml:mrow></mml:msub><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:msub><mml:mi>q</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mi>t</mml:mi></mml:mrow></mml:msub><mml:mo>&#x02264;</mml:mo><mml:mi>T</mml:mi></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mtext>&#x000A0;&#x000A0;</mml:mtext><mml:mo>+</mml:mo><mml:mtext>&#x000A0;</mml:mtext><mml:msub><mml:mi>&#x003B1;</mml:mi><mml:mn>3</mml:mn></mml:msub><mml:mi>I</mml:mi><mml:mi>C</mml:mi><mml:msub><mml:mi>T</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mi>t</mml:mi></mml:mrow></mml:msub><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:msub><mml:mi>q</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mi>t</mml:mi></mml:mrow></mml:msub><mml:mo>&#x0003E;</mml:mo><mml:mi>T</mml:mi></mml:mrow><mml:mo>)</mml:mo></mml:mrow><mml:mo>+</mml:mo><mml:mi>&#x003B2;</mml:mi><mml:mtext>&#x000A0;</mml:mtext><mml:mi>C</mml:mi><mml:mi>o</mml:mi><mml:mi>n</mml:mi><mml:mi>t</mml:mi><mml:mi>r</mml:mi><mml:mi>o</mml:mi><mml:msub><mml:mi>l</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mi>t</mml:mi></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>&#x003BC;</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>&#x003B4;</mml:mi><mml:mi>t</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>&#x003B5;</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mi>t</mml:mi></mml:mrow></mml:msub></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
<p>Where <italic>q</italic><sub><italic>i, t</italic></sub> is the threshold variable, including green innovation (<italic>GINNO</italic>) and energy structure (<italic>ENER</italic>). <italic>T</italic> represents the threshold value to be estimated. &#x003B1;<sub>2</sub>(&#x003B1;<sub>3</sub>) represents the effect of ICT development on the TFCEE when the threshold variable is below (above) the threshold value.</p>
</sec>
<sec>
<title>4.4 Data and variables</title>
<p>In line with prior studies (<xref ref-type="bibr" rid="B23">23</xref>, <xref ref-type="bibr" rid="B48">48</xref>), we use the NDDF to estimate the <italic>TFCEE</italic> variable. We use a sample of 30 Chinese provinces (<italic>n</italic> = 1, 2, &#x02026;, 30). Each province includes inputs of capital stock (<italic>K</italic>), calculated by the perpetual inventory method; labor (<italic>L</italic>), measured by the total number of employees; and energy (<italic>E</italic>), expressed as the total energy consumption. Desired output GDP (<italic>Y</italic>) is proxied by provincial real GDP. In contrast, the undesired output of carbon emissions (<italic>C</italic>) is calculated according to the 2006 Intergovernmental Panel on Climate Change guidelines for national greenhouse gas inventories. Assuming that the optimal solution of each input and output obtained through the NDDF linear programming is <inline-formula><mml:math id="M5"><mml:msubsup><mml:mrow><mml:mi>&#x003B2;</mml:mi></mml:mrow><mml:mrow><mml:mi>K</mml:mi></mml:mrow><mml:mrow><mml:mo>&#x0002A;</mml:mo></mml:mrow></mml:msubsup><mml:mo>,</mml:mo><mml:msubsup><mml:mrow><mml:mi>&#x003B2;</mml:mi></mml:mrow><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mo>&#x0002A;</mml:mo></mml:mrow></mml:msubsup><mml:mo>,</mml:mo><mml:msubsup><mml:mrow><mml:mi>&#x003B2;</mml:mi></mml:mrow><mml:mrow><mml:mi>E</mml:mi></mml:mrow><mml:mrow><mml:mo>&#x0002A;</mml:mo></mml:mrow></mml:msubsup><mml:mo>,</mml:mo><mml:msubsup><mml:mrow><mml:mi>&#x003B2;</mml:mi></mml:mrow><mml:mrow><mml:mi>Y</mml:mi></mml:mrow><mml:mrow><mml:mo>&#x0002A;</mml:mo></mml:mrow></mml:msubsup><mml:mo>,</mml:mo><mml:msubsup><mml:mrow><mml:mi>&#x003B2;</mml:mi></mml:mrow><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mo>&#x0002A;</mml:mo></mml:mrow></mml:msubsup></mml:math></inline-formula>. The dependent variable <italic>TFCEE</italic> can be formulated in Equation (6) (<xref ref-type="bibr" rid="B48">48</xref>).</p>
<disp-formula id="E5"><label>(5)</label><mml:math id="M6"><mml:mtable columnalign='left'><mml:mtr><mml:mtd><mml:mi>T</mml:mi><mml:mi>F</mml:mi><mml:mi>C</mml:mi><mml:mi>E</mml:mi><mml:mi>E</mml:mi><mml:mo>=</mml:mo><mml:mfrac><mml:mrow><mml:mfrac><mml:mn>1</mml:mn><mml:mn>4</mml:mn></mml:mfrac><mml:mrow><mml:mo>[</mml:mo><mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:mn>1</mml:mn><mml:mo>&#x02212;</mml:mo><mml:msubsup><mml:mi>&#x003B2;</mml:mi><mml:mi>K</mml:mi><mml:mo>&#x02217;</mml:mo></mml:msubsup></mml:mrow><mml:mo>)</mml:mo></mml:mrow><mml:mo>+</mml:mo><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:mn>1</mml:mn><mml:mo>&#x02212;</mml:mo><mml:msubsup><mml:mi>&#x003B2;</mml:mi><mml:mi>L</mml:mi><mml:mo>&#x02217;</mml:mo></mml:msubsup></mml:mrow><mml:mo>)</mml:mo></mml:mrow><mml:mo>+</mml:mo><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:mn>1</mml:mn><mml:mo>&#x02212;</mml:mo><mml:msubsup><mml:mi>&#x003B2;</mml:mi><mml:mi>E</mml:mi><mml:mo>&#x02217;</mml:mo></mml:msubsup></mml:mrow><mml:mo>)</mml:mo></mml:mrow><mml:mo>+</mml:mo><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:mn>1</mml:mn><mml:mo>&#x02212;</mml:mo><mml:msubsup><mml:mi>&#x003B2;</mml:mi><mml:mi>C</mml:mi><mml:mo>&#x02217;</mml:mo></mml:msubsup></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:mrow><mml:mo>]</mml:mo></mml:mrow></mml:mrow><mml:mrow><mml:mn>1</mml:mn><mml:mo>+</mml:mo><mml:msubsup><mml:mi>&#x003B2;</mml:mi><mml:mi>Y</mml:mi><mml:mo>&#x02217;</mml:mo></mml:msubsup></mml:mrow></mml:mfrac></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mtext>&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;</mml:mtext><mml:mo>=</mml:mo><mml:mfrac><mml:mrow><mml:mn>1</mml:mn><mml:mo>&#x02212;</mml:mo><mml:mfrac><mml:mn>1</mml:mn><mml:mn>4</mml:mn></mml:mfrac><mml:mrow><mml:mo>[</mml:mo><mml:mrow><mml:msubsup><mml:mi>&#x003B2;</mml:mi><mml:mi>K</mml:mi><mml:mo>&#x02217;</mml:mo></mml:msubsup><mml:mo>+</mml:mo><mml:msubsup><mml:mi>&#x003B2;</mml:mi><mml:mi>L</mml:mi><mml:mo>&#x02217;</mml:mo></mml:msubsup><mml:mo>+</mml:mo><mml:msubsup><mml:mi>&#x003B2;</mml:mi><mml:mi>E</mml:mi><mml:mo>&#x02217;</mml:mo></mml:msubsup><mml:mo>+</mml:mo><mml:msubsup><mml:mi>&#x003B2;</mml:mi><mml:mi>C</mml:mi><mml:mo>&#x02217;</mml:mo></mml:msubsup></mml:mrow><mml:mo>]</mml:mo></mml:mrow></mml:mrow><mml:mrow><mml:mn>1</mml:mn><mml:mo>+</mml:mo><mml:msubsup><mml:mi>&#x003B2;</mml:mi><mml:mi>Y</mml:mi><mml:mo>&#x02217;</mml:mo></mml:msubsup></mml:mrow></mml:mfrac></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
<p><italic>TFCEE</italic> ranges from 0 to 1, such that a higher value of the <italic>TFCEE</italic> indicates higher production efficiency of the province. Consequently, if provincial <italic>TFCEE</italic> were equal to 1 (0), it would mean that the corresponding province was fully efficient (inefficient).</p>
<p>We construct a comprehensive index to measure ICT advancement, in line with recent studies (<xref ref-type="bibr" rid="B49">49</xref>), as shown in <xref ref-type="table" rid="T1">Table 1</xref>. Additionally, we employ the entropy method to evaluate the ICT development index (<italic>ICT</italic> variable), which ranges from 0 to 1.</p>
<table-wrap position="float" id="T1">
<label>Table 1</label>
<caption><p>ICT development evaluation.</p></caption>
<table frame="box" rules="all">
<thead>
<tr style="background-color:#919498;color:#ffffff">
<th valign="top" align="left"><bold>Variable</bold></th>
<th valign="top" align="left"><bold>Dimension</bold></th>
<th valign="top" align="left"><bold>Indicators</bold></th>
<th valign="top" align="center"><bold>Unit</bold></th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">ICT development index</td>
<td valign="top" align="left">ICT basic resources</td>
<td valign="top" align="left">Netizen penetration rate</td>
<td valign="top" align="center">%</td>
</tr>
 <tr>
<td/>
<td/>
<td valign="top" align="left">Mobile phone ownership per 100 people</td>
<td valign="top" align="center">&#x02014;</td>
</tr>
 <tr>
<td/>
<td/>
<td valign="top" align="left">IPv4 proportion<sup>a</sup></td>
<td valign="top" align="center">%</td>
</tr>
 <tr>
<td/>
<td valign="top" align="left">ICT information resources</td>
<td valign="top" align="left">Number of domain names per 10,000 people</td>
<td valign="top" align="center">&#x02014;</td>
</tr>
 <tr>
<td/>
<td/>
<td valign="top" align="left">The average size of a webpage in kilobytes</td>
<td valign="top" align="center">KB</td>
</tr>
 <tr>
<td/>
<td/>
<td valign="top" align="left">The average number of websites per company</td>
<td valign="top" align="center">&#x02014;</td>
</tr>
 <tr>
<td/>
<td valign="top" align="left">ICT applications</td>
<td valign="top" align="left">The proportion of employment in ICT-related industries</td>
<td valign="top" align="center">%</td>
</tr>
 <tr>
<td/>
<td/>
<td valign="top" align="left">The ratio of e-commerce transactions to GDP</td>
<td valign="top" align="center">%</td>
</tr>
 <tr>
<td/>
<td/>
<td valign="top" align="left">Express service delivery (after placing an order online) volume per person</td>
<td valign="top" align="center">&#x02014;</td>
</tr></tbody>
</table>
<table-wrap-foot>
<p><sup>a</sup>IPv4 is the fourth version of the Internet Protocol (IP), and its proportion can reflect the ICT infrastructure construction level (<xref ref-type="bibr" rid="B43">43</xref>).</p>
</table-wrap-foot>
</table-wrap>
<p>Descriptions of all the variables are presented in <xref ref-type="table" rid="T2">Table 2</xref>. All variables are at the provincial level. The selection and measurement of the variables align with the prior research (<xref ref-type="bibr" rid="B6">6</xref>, <xref ref-type="bibr" rid="B11">11</xref>, <xref ref-type="bibr" rid="B16">16</xref>, <xref ref-type="bibr" rid="B50">50</xref>, <xref ref-type="bibr" rid="B51">51</xref>).</p>
<table-wrap position="float" id="T2">
<label>Table 2</label>
<caption><p>Variable descriptions.</p></caption>
<table frame="box" rules="all">
<thead>
<tr style="background-color:#919498;color:#ffffff">
<th valign="top" align="left"><bold>Variable type</bold></th>
<th valign="top" align="left"><bold>Variable</bold></th>
<th valign="top" align="left"><bold>Symbol</bold></th>
<th valign="top" align="left"><bold>Variable measurement</bold></th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">Dependent variable</td>
<td valign="top" align="left">Total-factor carbon emission efficiency</td>
<td valign="top" align="left"><italic>TFCEE</italic></td>
<td valign="top" align="left">As described in Section 4.4</td>
</tr>
<tr>
<td valign="top" align="left">Explanatory variable</td>
<td valign="top" align="left">Information and communication technology development</td>
<td valign="top" align="left"><italic>ICT</italic></td>
<td valign="top" align="left">As described in Section 4.4</td>
</tr>
<tr>
<td valign="top" align="left">Control variable</td>
<td valign="top" align="left">Economic development</td>
<td valign="top" align="left"><italic>GDP</italic></td>
<td valign="top" align="left">Natural logarithm of the per capita GDP</td>
</tr>
 <tr>
<td/>
<td valign="top" align="left">Population</td>
<td valign="top" align="left"><italic>POP</italic></td>
<td valign="top" align="left">Natural logarithm of the population</td>
</tr>
 <tr>
<td/>
<td valign="top" align="left">Economic openness</td>
<td valign="top" align="left"><italic>OPEN</italic></td>
<td valign="top" align="left">The ratio of the total value of imports and exports to GDP</td>
</tr>
 <tr>
<td/>
<td valign="top" align="left">Industrial structure</td>
<td valign="top" align="left"><italic>IND</italic></td>
<td valign="top" align="left">The ratio of secondary industries added value to GDP</td>
</tr>
 <tr>
<td/>
<td valign="top" align="left">Urbanization level</td>
<td valign="top" align="left"><italic>URBAN</italic></td>
<td valign="top" align="left">Urban population as a percentage of the total population</td>
</tr>
 <tr>
<td/>
<td valign="top" align="left">Government financial autonomy</td>
<td valign="top" align="left"><italic>GOVAU</italic></td>
<td valign="top" align="left">The ratio of government general budget expenditure to GDP</td>
</tr>
<tr>
<td valign="top" align="left">Mediator variable</td>
<td valign="top" align="left">Green innovation</td>
<td valign="top" align="left"><italic>GINNO</italic></td>
<td valign="top" align="left">Number of green patent applications per capita</td>
</tr>
 <tr>
<td/>
<td valign="top" align="left">Energy structure</td>
<td valign="top" align="left"><italic>ENER</italic></td>
<td valign="top" align="left">Share of coal in total energy consumption</td>
</tr>
<tr>
<td valign="top" align="left">Public health measures</td>
<td valign="top" align="left">Inpatients</td>
<td valign="top" align="left"><italic>INP</italic></td>
<td valign="top" align="left">The ratio of inpatients to the total population</td>
</tr>
 <tr>
<td/>
<td valign="top" align="left">Mortality</td>
<td valign="top" align="left"><italic>MOR</italic></td>
<td valign="top" align="left">Resident mortality (per 1,000 persons)</td>
</tr>
 <tr>
<td/>
<td valign="top" align="left">Maternal Mortality</td>
<td valign="top" align="left"><italic>MMOR</italic></td>
<td valign="top" align="left">Maternal mortality (per 1,000 live births)</td>
</tr></tbody>
</table>
</table-wrap>
<p>The sample ranges from 2008 to 2019. Due to limited data availability in Hong Kong, Macao, Taiwan, and Tibet, this study focuses on the other 30 provincial administrative regions as the sample. We obtained data from the National Bureau of Statistics, the China Statistical Yearbook, the Statistical Report on China&#x00027;s internet development, and the Chinese Research Data Services Platform. All the data are adjusted for inflation with 2008 as a base period to ensure comparability.</p>
<p><xref ref-type="table" rid="T3">Table 3</xref> presents descriptive statistics for variables. We can observe that the dependent variable <italic>TFCEE</italic> has the minimum (maximum) value of 0.177 (<xref ref-type="bibr" rid="B1">1</xref>), with a mean and standard deviation of 0.430 and 0.157, respectively. The leading explanatory variable, <italic>ICT</italic>, has a minimum (maximum) value of 0.018 (0.773), with a mean and standard deviation of 0.116 and 0.117. This result suggests substantial cross-provincial variability in the <italic>TFCEE</italic> and <italic>ICT</italic> during the sample period.</p>
<table-wrap position="float" id="T3">
<label>Table 3</label>
<caption><p>Descriptive statistics.</p></caption>
<table frame="box" rules="all">
<thead>
<tr style="background-color:#919498;color:#ffffff">
<th valign="top" align="left"><bold>Variable type</bold></th>
<th valign="top" align="center"><bold>Variable</bold></th>
<th valign="top" align="center"><bold>Observations</bold></th>
<th valign="top" align="center"><bold>Mean</bold></th>
<th valign="top" align="center"><bold>Std. Dev</bold>.</th>
<th valign="top" align="center"><bold>Min</bold></th>
<th valign="top" align="center"><bold>Max</bold></th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">Dependent variable</td>
<td valign="top" align="center"><italic>TFCEE</italic></td>
<td valign="top" align="center">360</td>
<td valign="top" align="center">0.4399</td>
<td valign="top" align="center">0.1571</td>
<td valign="top" align="center">0.1766</td>
<td valign="top" align="center">1.000</td>
</tr>
<tr>
<td valign="top" align="left">Explanatory variable</td>
<td valign="top" align="center"><italic>ICT</italic></td>
<td valign="top" align="center">360</td>
<td valign="top" align="center">0.1162</td>
<td valign="top" align="center">0.1167</td>
<td valign="top" align="center">0.0183</td>
<td valign="top" align="center">0.7728</td>
</tr>
<tr>
<td valign="top" align="left">Control variable</td>
<td valign="top" align="center"><italic>GDP</italic></td>
<td valign="top" align="center">360</td>
<td valign="top" align="center">10.5173</td>
<td valign="top" align="center">0.5008</td>
<td valign="top" align="center">9.0812</td>
<td valign="top" align="center">11.7410</td>
</tr>
 <tr>
<td/>
<td valign="top" align="center"><italic>POP</italic></td>
<td valign="top" align="center">360</td>
<td valign="top" align="center">8.1924</td>
<td valign="top" align="center">0.7395</td>
<td valign="top" align="center">6.3172</td>
<td valign="top" align="center">9.3519</td>
</tr>
 <tr>
<td/>
<td valign="top" align="center"><italic>OPEN</italic></td>
<td valign="top" align="center">360</td>
<td valign="top" align="center">0.2711</td>
<td valign="top" align="center">0.2967</td>
<td valign="top" align="center">0.0114</td>
<td valign="top" align="center">1.5914</td>
</tr>
 <tr>
<td/>
<td valign="top" align="center"><italic>IND</italic></td>
<td valign="top" align="center">360</td>
<td valign="top" align="center">0.4507</td>
<td valign="top" align="center">0.0864</td>
<td valign="top" align="center">0.1620</td>
<td valign="top" align="center">0.6150</td>
</tr>
 <tr>
<td/>
<td valign="top" align="center"><italic>URBAN</italic></td>
<td valign="top" align="center">360</td>
<td valign="top" align="center">0.5639</td>
<td valign="top" align="center">0.1319</td>
<td valign="top" align="center">0.2911</td>
<td valign="top" align="center">0.8960</td>
</tr>
 <tr>
<td/>
<td valign="top" align="center"><italic>GOVAU</italic></td>
<td valign="top" align="center">360</td>
<td valign="top" align="center">0.2758</td>
<td valign="top" align="center">0.1266</td>
<td valign="top" align="center">0.0870</td>
<td valign="top" align="center">0.7724</td>
</tr>
<tr>
<td valign="top" align="left">Mediator variable</td>
<td valign="top" align="center"><italic>GINNO</italic></td>
<td valign="top" align="center">360</td>
<td valign="top" align="center">1.3900</td>
<td valign="top" align="center">2.1483</td>
<td valign="top" align="center">0.0548</td>
<td valign="top" align="center">16.0956</td>
</tr>
 <tr>
<td/>
<td valign="top" align="center"><italic>ENER</italic></td>
<td valign="top" align="center">360</td>
<td valign="top" align="center">0.4145</td>
<td valign="top" align="center">0.1520</td>
<td valign="top" align="center">0.0121</td>
<td valign="top" align="center">0.7241</td>
</tr>
<tr>
<td valign="top" align="left">Public health measures</td>
<td valign="top" align="center"><italic>INP</italic></td>
<td valign="top" align="center">360</td>
<td valign="top" align="center">0.1058</td>
<td valign="top" align="center">0.0340</td>
<td valign="top" align="center">0.0391</td>
<td valign="top" align="center">0.1922</td>
</tr>
 <tr>
<td/>
<td valign="top" align="center"><italic>MOR</italic></td>
<td valign="top" align="center">360</td>
<td valign="top" align="center">6.0423</td>
<td valign="top" align="center">0.7632</td>
<td valign="top" align="center">4.2100</td>
<td valign="top" align="center">7.5700</td>
</tr>
 <tr>
<td/>
<td valign="top" align="center"><italic>MMOR</italic></td>
<td valign="top" align="center">360</td>
<td valign="top" align="center">0.1624</td>
<td valign="top" align="center">0.1004</td>
<td valign="top" align="center">0.0110</td>
<td valign="top" align="center">0.6204</td>
</tr></tbody>
</table>
</table-wrap>
<p><xref ref-type="fig" rid="F2">Figure 2</xref> illustrates the trends of <italic>TFCEE</italic> (<xref ref-type="fig" rid="F2">Figure 2A</xref>) and <italic>ICT</italic> (<xref ref-type="fig" rid="F2">Figure 2B</xref>) in China from 2008 to 2019. We can observe that <italic>TFCEE</italic> and <italic>ICT</italic> follow a gradually increasing path over time.</p>
<fig id="F2" position="float">
<label>Figure 2</label>
<caption><p>Trends of TFCEE <bold>(A)</bold> and ICT <bold>(B)</bold> in China from 2008 to 2019. Source: Authors&#x00027; calculation.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fpubh-11-1301627-g0002.tif"/>
</fig></sec>
</sec>
<sec id="s5">
<title>5 Results and discussions</title>
<sec>
<title>5.1 Benchmark regression results</title>
<p><xref ref-type="table" rid="T4">Table 4</xref> shows the estimated results of the dynamic panel regressions corresponding to the benchmark model in Equation (2). Columns (1) and (2) display the estimation results using the OLS and the FE methods. Column (3) shows the output from the 2SGMM estimation technique. The coefficient on the <italic>LTFCEE</italic> in column (3) is 0.9755 and larger (smaller) than the estimated coefficient from the FE (OLS) method. The results based on the 2SGMM model also pass the m1, m2, and Hansen tests. Due to the above, we can assume that our 2SGMM model is correctly specified. Furthermore, the coefficient on the <italic>LTFCEE</italic> term in column (3) is positive (within the range of zero to one) and statistically significant. This finding indicates that Chinese provincial-level <italic>TFCEE</italic> is path-dependent, in line with the recent study (<xref ref-type="bibr" rid="B12">12</xref>, <xref ref-type="bibr" rid="B29">29</xref>). Such evidence could mean that because of the difficulty of changing the provincial-level production mode in the short term, the TFCEE changes slowly and exhibits path dependence.</p>
<table-wrap position="float" id="T4">
<label>Table 4</label>
<caption><p>Benchmark regression results.</p></caption>
<table frame="box" rules="all">
<thead>
<tr style="background-color:#919498;color:#ffffff">
<th valign="top" align="left"><bold>Method of estimation</bold></th>
<th valign="top" align="center"><bold>OLS</bold></th>
<th valign="top" align="center"><bold>FE</bold></th>
<th valign="top" align="center"><bold>2SGMM</bold></th>
</tr>
</thead>
<tbody>
<tr style="background-color:#919498;color:#ffffff">
<td valign="top" align="left"><bold>Variables</bold></td>
<td valign="top" align="center"><bold>(1)</bold></td>
<td valign="top" align="center"><bold>(2)</bold></td>
<td valign="top" align="center"><bold>(3)</bold></td>
</tr>
<tr>
<td valign="top" align="left"><italic>TFCEE</italic></td>
<td valign="top" align="center">0.9926<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">0.9075<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">0.9755<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
</tr>
 <tr>
<td/>
<td valign="top" align="center">(0.0161)</td>
<td valign="top" align="center">(0.0280)</td>
<td valign="top" align="center">(0.0107)</td>
</tr>
<tr>
<td valign="top" align="left"><italic>ICT</italic></td>
<td valign="top" align="center">0.0299<sup>&#x0002A;</sup></td>
<td valign="top" align="center">0.0794<sup>&#x0002A;</sup></td>
<td valign="top" align="center">0.0404<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
</tr>
 <tr>
<td/>
<td valign="top" align="center">(0.0162)</td>
<td valign="top" align="center">(0.0443)</td>
<td valign="top" align="center">(0.0097)</td>
</tr>
<tr>
<td valign="top" align="left"><italic>GDP</italic></td>
<td valign="top" align="center">&#x02212;0.0037</td>
<td valign="top" align="center">&#x02212;0.0094</td>
<td valign="top" align="center">&#x02212;0.0023</td>
</tr>
 <tr>
<td/>
<td valign="top" align="center">(0.0062)</td>
<td valign="top" align="center">(0.0313)</td>
<td valign="top" align="center">(0.0066)</td>
</tr>
<tr>
<td valign="top" align="left"><italic>POP</italic></td>
<td valign="top" align="center">0.0041</td>
<td valign="top" align="center">&#x02212;0.0302</td>
<td valign="top" align="center">0.0054<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
</tr>
 <tr>
<td/>
<td valign="top" align="center">(0.0026)</td>
<td valign="top" align="center">(0.0218)</td>
<td valign="top" align="center">(0.0018)</td>
</tr>
<tr>
<td valign="top" align="left"><italic>OPEN</italic></td>
<td valign="top" align="center">0.0107<sup>&#x0002A;</sup></td>
<td valign="top" align="center">0.0729</td>
<td valign="top" align="center">0.0121<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
</tr>
 <tr>
<td/>
<td valign="top" align="center">(0.0056)</td>
<td valign="top" align="center">(0.0714)</td>
<td valign="top" align="center">(0.0032)</td>
</tr>
<tr>
<td valign="top" align="left"><italic>IND</italic></td>
<td valign="top" align="center">&#x02212;0.0109</td>
<td valign="top" align="center">0.0227</td>
<td valign="top" align="center">&#x02212;0.0174</td>
</tr>
 <tr>
<td/>
<td valign="top" align="center">(0.0143)</td>
<td valign="top" align="center">(0.0320)</td>
<td valign="top" align="center">(0.0111)</td>
</tr>
<tr>
<td valign="top" align="left"><italic>URBAN</italic></td>
<td valign="top" align="center">0.0292</td>
<td valign="top" align="center">&#x02212;0.1574</td>
<td valign="top" align="center">0.0281</td>
</tr>
 <tr>
<td/>
<td valign="top" align="center">(0.0223)</td>
<td valign="top" align="center">(0.1542)</td>
<td valign="top" align="center">(0.0217)</td>
</tr>
<tr>
<td valign="top" align="left"><italic>GOVAU</italic></td>
<td valign="top" align="center">&#x02212;0.0137</td>
<td valign="top" align="center">&#x02212;0.0653<sup>&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">&#x02212;0.0141</td>
</tr>
 <tr>
<td/>
<td valign="top" align="center">(0.0158)</td>
<td valign="top" align="center">(0.0258)</td>
<td valign="top" align="center">(0.0114)</td>
</tr>
<tr>
<td valign="top" align="left">Adj R<sup>2</sup></td>
<td valign="top" align="center">0.9918</td>
<td valign="top" align="center">0.9695</td>
<td/>
</tr>
<tr>
<td valign="top" align="left">m1 (Z-statistic)</td>
<td/>
<td/>
<td valign="top" align="center">&#x02212;1.66<sup>&#x0002A;</sup></td>
</tr>
<tr>
<td valign="top" align="left">m2 (Z-statistic)</td>
<td/>
<td/>
<td valign="top" align="center">0.89</td>
</tr>
<tr>
<td valign="top" align="left">Hansen test (<italic>p</italic>-value)</td>
<td/>
<td/>
<td valign="top" align="center">0.18</td>
</tr>
<tr>
<td valign="top" align="left">N</td>
<td valign="top" align="center">330</td>
<td valign="top" align="center">330</td>
<td valign="top" align="center">330</td>
</tr></tbody>
</table>
<table-wrap-foot>
<p>The dependent variable is the TFCEE. <sup>&#x0002A;</sup>, <sup>&#x0002A;&#x0002A;</sup>, and <sup>&#x0002A;&#x0002A;&#x0002A;</sup> are the 10%, 5%, and 1% statistical significance levels of the estimated coefficients, respectively.</p>
</table-wrap-foot>
</table-wrap>
<p>Column (3) also shows that the <italic>ICT</italic> variable coefficient is statistically significant and positive. Specifically, the coefficient informs us that, on average, for every 10 per cent increase in the ICT development index, we expect the <italic>TFCEE</italic> to increase by 0.11 per cent, ceteris paribus.<xref ref-type="fn" rid="fn0003"><sup>3</sup></xref> Therefore, <xref ref-type="table" rid="T4">Table 4</xref> implies that ICT development significantly promotes TFCEE improvement, which supports hypothesis 1. This finding supports the conclusions of Hao et al. (<xref ref-type="bibr" rid="B30">30</xref>) and Wu et al. (<xref ref-type="bibr" rid="B31">31</xref>) about the role of ICT development in driving low-carbon development. The estimated results can be associated with ICT accelerating the intelligent and exemplary management of the whole production process, improving the efficiency of resource allocation, reducing inefficient energy consumption and carbon emissions, and thus improving the TFCEE. China has entered a phase where the pace of economic growth has slowed down. In contrast, the task of carbon emission reduction is urgent due to the associated environmental and health damage, as well as policy commitments, thereby causing the TFCEE improvement to encounter bottlenecks. As such, our findings could inspire strategic planning development in China and across other emerging economies with similar goals and problems.</p>
</sec>
<sec>
<title>5.2 The mediation effects of green innovation and energy structure</title>
<p>Environmental innovations promote continuous production process improvement, e.g., by avoiding high carbon emissions at source and fostering the development of end-of-pipe treatment technologies (carbon-storing and reusing) (<xref ref-type="bibr" rid="B41">41</xref>). Therefore, green innovation significantly reduces energy saving and carbon reduction costs, thus driving the TFCEE improvement.</p>
<p>Column (1) in <xref ref-type="table" rid="T5">Table 5</xref> shows the estimated results from 2SGMM regression models testing for indirect ICT effects in the TFCEE using green innovation as a mediator variable from equation (3). The coefficient on the <italic>ICT</italic> variable is significant and carries a positive sign, meaning that ICT progress increases green innovation. This aligns with Tang et al. (<xref ref-type="bibr" rid="B38">38</xref>), who adopt China&#x00027;s broadband policy as a quasi-natural experiment. Columns (2) and (3) further distinguish between high-quality innovation represented by green inventions (<italic>GINV</italic>) and low-quality innovation represented by green utility models (<italic>GUTI</italic>), respectively. Estimated coefficients indicate that ICT advancement has a significantly stronger (statistically and economically) effect on promoting high-quality rather than low-quality green innovation. Such results can be associated with the ICT promoting digital ecology, thereby increasing research and development (<xref ref-type="bibr" rid="B38">38</xref>). This comparative advantage, in turn, makes it more likely for enterprises to receive long-term external financial support when conducting quality green innovation research characterized by higher difficulty levels, greater failure rates, and more extended periods (<xref ref-type="bibr" rid="B53">53</xref>). Such incentives motivate Chinese enterprises and significantly increase high-quality green innovation.</p>
<table-wrap position="float" id="T5">
<label>Table 5</label>
<caption><p>Mediation effect verification results.</p></caption>
<table frame="box" rules="all">
<thead>
<tr style="background-color:#919498;color:#ffffff">
<th valign="top" align="left"><bold>Variables</bold></th>
<th valign="top" align="center"><bold><italic>GINNO</italic></bold></th>
<th valign="top" align="center"><bold><italic>GINV</italic></bold></th>
<th valign="top" align="center"><bold><italic>GUTI</italic></bold></th>
<th valign="top" align="center"><bold><italic>ENER</italic></bold></th>
</tr>
</thead>
<tbody>
<tr style="background-color:#919498;color:#ffffff">
<td/>
<td valign="top" align="center"><bold>(1)</bold></td>
<td valign="top" align="center"><bold>(2)</bold></td>
<td valign="top" align="center"><bold>(3)</bold></td>
<td valign="top" align="center"><bold>(4)</bold></td>
</tr>
<tr>
<td valign="top" align="left"><italic>Lagged dep. Var</italic>.</td>
<td valign="top" align="center">0.9427<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">0.9790<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">0.9889<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">0.8687<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
</tr>
 <tr>
<td/>
<td valign="top" align="center">(0.0321)</td>
<td valign="top" align="center">(0.0172)</td>
<td valign="top" align="center">(0.0839)</td>
<td valign="top" align="center">(0.0711)</td>
</tr>
<tr>
<td valign="top" align="left"><italic>ICT</italic></td>
<td valign="top" align="center">2.8247<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">1.7897<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">0.7415<sup>&#x0002A;</sup></td>
<td valign="top" align="center">&#x02212;0.0778<sup>&#x0002A;&#x0002A;</sup></td>
</tr>
 <tr>
<td/>
<td valign="top" align="center">(0.6099)</td>
<td valign="top" align="center">(0.4265)</td>
<td valign="top" align="center">(0.4127)</td>
<td valign="top" align="center">(0.0316)</td>
</tr>
<tr>
<td valign="top" align="left">Controls</td>
<td valign="top" align="center">Yes</td>
<td valign="top" align="center">Yes</td>
<td valign="top" align="center">Yes</td>
<td valign="top" align="center">Yes</td>
</tr>
<tr>
<td valign="top" align="left">m1 (Z-statistic)</td>
<td valign="top" align="center">&#x02212;2.39<sup>&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">&#x02212;2.26<sup>&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">&#x02212;1.83<sup>&#x0002A;</sup></td>
<td valign="top" align="center">&#x02212;2.98<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
</tr>
<tr>
<td valign="top" align="left">m2 (Z-statistic)</td>
<td valign="top" align="center">&#x02212;0.42</td>
<td valign="top" align="center">&#x02212;0.69</td>
<td valign="top" align="center">0.03</td>
<td valign="top" align="center">0.64</td>
</tr>
<tr>
<td valign="top" align="left">Hansen test</td>
<td valign="top" align="center">0.85</td>
<td valign="top" align="center">0.94</td>
<td valign="top" align="center">0.80</td>
<td valign="top" align="center">0.29</td>
</tr>
<tr>
<td valign="top" align="left">N</td>
<td valign="top" align="center">330</td>
<td valign="top" align="center">330</td>
<td valign="top" align="center">330</td>
<td valign="top" align="center">330</td>
</tr></tbody>
</table>
<table-wrap-foot>
<p>The dependent variables in columns (1) to (4) are overall green innovation, green inventions, green utility models, and energy structure, respectively. <sup>&#x0002A;</sup>, <sup>&#x0002A;&#x0002A;</sup>, and <sup>&#x0002A;&#x0002A;&#x0002A;</sup> are the 10%, 5%, and 1% statistical significance levels of the estimated coefficients, respectively. We use the same set of control variables as in Equation (2). However, for this study&#x00027;s brevity, these coefficients are not presented but are available upon request.</p>
</table-wrap-foot>
</table-wrap>
<p>Because ICT affects green innovation, which, in turn, affects the TFCEE, we can assume that ICT development indirectly affects the TFCEE, which supports hypothesis 2. ICT is deeply integrated into enterprises&#x00027; production and operation activities, promoting their forward-looking technology research and significantly enhancing green innovation capabilities (<xref ref-type="bibr" rid="B54">54</xref>). At the same time, ICT development can enable firms to obtain knowledge and information at a lower marginal cost, break through barriers between industries, and further promote green innovation via the knowledge spillover effects (<xref ref-type="bibr" rid="B38">38</xref>). Green innovation, in turn, effectively increases energy efficiency and improves production processes (<xref ref-type="bibr" rid="B41">41</xref>), enhancing the TFCEE.</p>
<p>The optimization of the energy structure implies an increase (decrease) in the proportion of renewable energy (fossil fuels) in energy consumption. This can reduce carbon emissions, driving the TFCEE&#x00027;s improvement. The testing results for indirect ICT effects in the TFCEE using energy structure as a mediator variable from equation (3) are displayed in column (4) in <xref ref-type="table" rid="T5">Table 5</xref>. We can observe that the estimated coefficient on the <italic>ICT</italic> variable is negative and significant, which means that ICT development reduces coal&#x00027;s share in total energy consumption, i.e., optimizes the energy structure. This corroborates Xu et al. (<xref ref-type="bibr" rid="B55">55</xref>), who found that improving digitalization improves energy composition in a global study of 109 countries.</p>
<p>Again, because the ICT affects energy structure, which, in turn, promotes an improvement in the TFCEE, we can assume that the former indirectly affects TFCEE, in line with hypothesis 3. Specifically, ICT changes energy production and consumption patterns through knowledgeable information-based systems while accelerating energy transformation (<xref ref-type="bibr" rid="B27">27</xref>). Additionally, the ICT provides technological support for renewable energy development (<xref ref-type="bibr" rid="B43">43</xref>), promoting global <italic>energy internet</italic> construction (<xref ref-type="bibr" rid="B42">42</xref>). This helps reduce the use of traditional high-carbon energy sources, fosters the growth of clean energy sources and optimizes the energy structure. Increasing the proportion of clean and renewable energy helps cut carbon emissions, improving the TFCEE.</p>
</sec>
<sec>
<title>5.3 Dynamic threshold model results</title>
<p>In this section, we test whether the threshold effect exists in the ICT-TFCEE nexus. The threshold variables include green innovation (<italic>GINNO</italic>) and energy structure (<italic>ENER</italic>). In the first step, we conduct 1,000 repetitions of bootstrap self-sampling. <xref ref-type="table" rid="T6">Table 6</xref> displays the self-sampling test results of the threshold value and a corresponding confidence interval. The Wald statistics and <italic>p</italic>-values all pass the significance test, informing that our model is suitable for further analysis.</p>
<table-wrap position="float" id="T6">
<label>Table 6</label>
<caption><p>Test of the threshold effect.</p></caption>
<table frame="box" rules="all">
<thead>
<tr style="background-color:#919498;color:#ffffff">
<th valign="top" align="left"><bold>Threshold variables</bold></th>
<th valign="top" align="center"><bold>Dynamic threshold model</bold></th>
<th valign="top" align="center"><bold>Threshold value</bold></th>
<th valign="top" align="center"><bold>Wald statistics</bold></th>
<th valign="top" align="center"><bold><italic>p</italic>-Value</bold></th>
<th valign="top" align="center"><bold>BS</bold></th>
<th valign="top" align="center"><bold>95% confidence interval</bold></th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left"><italic>GINNO</italic></td>
<td valign="top" align="center">2SGMM</td>
<td valign="top" align="center">0.8480</td>
<td valign="top" align="center">607.8981</td>
<td valign="top" align="center">0.000</td>
<td valign="top" align="center">1,000</td>
<td valign="top" align="center">(0.0910, 6.0144)</td>
</tr>
<tr>
<td valign="top" align="left"><italic>ENER</italic></td>
<td valign="top" align="center">2SGMM</td>
<td valign="top" align="center">0.4769</td>
<td valign="top" align="center">542.3234</td>
<td valign="top" align="center">0.000</td>
<td valign="top" align="center">1,000</td>
<td valign="top" align="center">(0.1242, 0.6421)</td>
</tr></tbody>
</table>
</table-wrap>
<p>Having estimated the threshold values for <italic>GINNO</italic> and <italic>ENER</italic> variables in <xref ref-type="table" rid="T6">Table 6</xref>, we run 2SGMM dynamic threshold panel regressions corresponding to Equation (4). The estimated results appear in <xref ref-type="table" rid="T7">Table 7</xref>, where <italic>q</italic><sub><italic>it</italic></sub> &#x02264; C (<italic>q</italic><sub><italic>it</italic></sub> &#x0003E; C) indicates that the threshold variable is below or equal to (above) the threshold value. Column (1) shows the results with green innovation (<italic>GINNO</italic>) as the threshold variable. We can observe that when green innovation exceeds the threshold value, the estimated coefficient on <italic>ICT</italic> changes from 0.1064 to 0.1737 and remains statistically significant. For instance, at <italic>q</italic><sub><italic>it</italic></sub> &#x02264; C (<italic>q</italic><sub><italic>it</italic></sub> &#x0003E; C), for every 10 per cent increase in <italic>ICT</italic>, we would expect the TFCEE to increase on average by 0.29 (0.47) per cent, holding all else constant. This result can be associated with the evidence that at the early stage of green innovation development, enterprises&#x00027; research costs are high, and green patent application in production is still being explored. Because of that, the potential for TFCEE improvement through ICT development is somewhat limited. However, once the green innovation development exceeds a certain threshold, key technical challenges to improve the TFCEE no longer hold (<xref ref-type="bibr" rid="B38">38</xref>). This, in turn, decreases carbon emissions reduction costs and provides new impetus for ICT development to promote the TFCEE.</p>
<table-wrap position="float" id="T7">
<label>Table 7</label>
<caption><p>Dynamic threshold panel regression results.</p></caption>
<table frame="box" rules="all">
<thead>
<tr style="background-color:#919498;color:#ffffff">
<th valign="top" align="left"><bold>Variables</bold></th>
<th valign="top" align="center"><bold><italic>GINNO</italic></bold></th>
<th valign="top" align="center"><bold><italic>ENER</italic></bold></th>
</tr>
</thead>
<tbody>
<tr style="background-color:#919498;color:#ffffff">
<td/>
<td valign="top" align="center"><bold>(1)</bold></td>
<td valign="top" align="center"><bold>(2)</bold></td>
</tr>
<tr>
<td valign="top" align="left"><italic>Lagged dep. Var</italic>.</td>
<td valign="top" align="center">0.8351<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">0.8864<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
</tr>
 <tr>
<td/>
<td valign="top" align="center">(0.0449)</td>
<td valign="top" align="center">(0.0143)</td>
</tr>
<tr>
<td valign="top" align="left"><italic>ICT(q<sub><italic>it</italic></sub> &#x02264; C)</italic></td>
<td valign="top" align="center">0.1064<sup>&#x0002A;</sup></td>
<td valign="top" align="center">0.1434<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
</tr>
 <tr>
<td/>
<td valign="top" align="center">(0.0577)</td>
<td valign="top" align="center">(0.0168)</td>
</tr>
<tr>
<td valign="top" align="left"><italic>ICT(q<sub><italic>it</italic></sub>&#x0003E;C)</italic></td>
<td valign="top" align="center">0.1737<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">0.0932<sup>&#x0002A;&#x0002A;</sup></td>
</tr>
 <tr>
<td/>
<td valign="top" align="center">(0.0552)</td>
<td valign="top" align="center">(0.0370)</td>
</tr>
<tr>
<td valign="top" align="left">Controls</td>
<td valign="top" align="center">Yes</td>
<td valign="top" align="center">Yes</td>
</tr>
<tr>
<td valign="top" align="left">m1 (Z-statistic)</td>
<td valign="top" align="center">&#x02212;1.67<sup>&#x0002A;</sup></td>
<td valign="top" align="center">&#x02212;1.65<sup>&#x0002A;</sup></td>
</tr>
<tr>
<td valign="top" align="left">m2 (Z-statistic)</td>
<td valign="top" align="center">0.82</td>
<td valign="top" align="center">0.84</td>
</tr>
<tr>
<td valign="top" align="left">Hansen test</td>
<td valign="top" align="center">0.70</td>
<td valign="top" align="center">0.99</td>
</tr>
<tr>
<td valign="top" align="left">N</td>
<td valign="top" align="center">330</td>
<td valign="top" align="center">330</td>
</tr></tbody>
</table>
<table-wrap-foot>
<p>The dependent variable is the TFCEE. <sup>&#x0002A;</sup>, <sup>&#x0002A;&#x0002A;</sup>, and <sup>&#x0002A;&#x0002A;&#x0002A;</sup> are the 10%, 5%, and 1% statistical significance levels of the estimated coefficients, respectively. We use the same set of control variables as in Equation (2). However, for this study&#x00027;s brevity, these coefficients are not presented but are available upon request.</p>
</table-wrap-foot>
</table-wrap>
<p>Column (2) of <xref ref-type="table" rid="T7">Table 7</xref> displays estimated results with the energy structure (<italic>ENER</italic>) as the threshold term. Since <italic>ENER</italic> is represented by the share of coal in total energy consumption, a decrease in <italic>ENER</italic> implies optimization of the energy structure. We can observe that as <italic>ENER</italic> changes from above to below its threshold value, the coefficient on the <italic>ICT</italic> increases from 0.0932 to 0.1434 and remains statistically significant. The fossil fuel-based energy structure is associated with substantial carbon emissions, which impedes the TFCEE improvement. For instance, some underdeveloped regions in northwest China are highly dependent on fossil fuels, which will weaken their capacity to improve the TFCEE (<xref ref-type="bibr" rid="B56">56</xref>). As the cost of renewable energy decreases and the proportion of fossil fuels falls below a certain threshold, a cleaner energy structure can strengthen the relationship between ICT and TFCEE (<xref ref-type="bibr" rid="B44">44</xref>).</p>
</sec>
<sec>
<title>5.4 The health co-benefits of the TFCEE improvement</title>
<p>Excessive inhalation of carbon dioxide harms the respiratory system and reduces higher-level cognitive abilities (<xref ref-type="bibr" rid="B7">7</xref>), directly leading to adverse health effects. CO<sub>2</sub> can also indirectly have negative effects on health. For example, carbon dioxide decreases the content of essential nutrients for humans in crops (<xref ref-type="bibr" rid="B57">57</xref>); global warming exacerbates air pollution, increases the frequency of extreme weather events, and damages ecosystems (<xref ref-type="bibr" rid="B6">6</xref>). Increasing the TFCEE leads to lower carbon emissions for the same output, potentially decreasing adverse health effects on Chinese residents. However, whether the improvement in TFCEE directly influences public health in China has not been empirically tested.</p>
<p>Columns (1&#x02013;3) of <xref ref-type="table" rid="T8">Table 8</xref> display the output from 2SGMM regression models testing for the impact of TFCEE on the three indicators of public health: the ratio of inpatients to total population (<italic>INP</italic>), the mortality rate per 1,000 persons (<italic>MOR</italic>), and maternal mortality rate per 1,000 births (<italic>MMOR</italic>).<xref ref-type="fn" rid="fn0004"><sup>4</sup></xref> Higher values of these indicators indicate lower levels of public health and vice versa. We can observe that the coefficients of the <italic>TFCEE</italic> variable in all columns are significantly negative, indicating that TFCEE improves health levels. Accordingly, our analysis offers nascent robust empirical evidence supporting the health co-benefits of ICT driving TFCEE improvement.</p>
<table-wrap position="float" id="T8">
<label>Table 8</label>
<caption><p>Health co-benefits examination.</p></caption>
<table frame="box" rules="all">
<thead>
<tr style="background-color:#919498;color:#ffffff">
<th valign="top" align="left"><bold>Variables</bold></th>
<th valign="top" align="center"><bold><italic>INP</italic></bold></th>
<th valign="top" align="center"><bold><italic>MOR</italic></bold></th>
<th valign="top" align="center"><bold><italic>MMOR</italic></bold></th>
</tr>
</thead>
<tbody>
<tr style="background-color:#919498;color:#ffffff">
<td/>
<td valign="top" align="center"><bold>(1)</bold></td>
<td valign="top" align="center"><bold>(2)</bold></td>
<td valign="top" align="center"><bold>(3)</bold></td>
</tr>
<tr>
<td valign="top" align="left"><italic>Lagged dep. Var</italic>.</td>
<td valign="top" align="center">0.8956<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">0.7685<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">0.8617<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
</tr>
 <tr>
<td/>
<td valign="top" align="center">(0.0866)</td>
<td valign="top" align="center">(0.1053)</td>
<td valign="top" align="center">(0.1880)</td>
</tr>
<tr>
<td valign="top" align="left"><italic>TFCEE</italic></td>
<td valign="top" align="center">&#x02212;0.0108<sup>&#x0002A;</sup></td>
<td valign="top" align="center">&#x02212;2.4048<sup>&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">&#x02212;0.2343<sup>&#x0002A;&#x0002A;</sup></td>
</tr>
 <tr>
<td/>
<td valign="top" align="center">(0.0058)</td>
<td valign="top" align="center">(1.0470)</td>
<td valign="top" align="center">(0.1111)</td>
</tr>
<tr>
<td valign="top" align="left">Controls</td>
<td valign="top" align="center">YES</td>
<td valign="top" align="center">YES</td>
<td valign="top" align="center">YES</td>
</tr>
<tr>
<td valign="top" align="left">m1 (Z-statistic)</td>
<td valign="top" align="center">&#x02212;2.26<sup>&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">&#x02212;2.66<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">&#x02212;1.80<sup>&#x0002A;</sup></td>
</tr>
<tr>
<td valign="top" align="left">m2 (Z-statistic)</td>
<td valign="top" align="center">1.32</td>
<td valign="top" align="center">0.53</td>
<td valign="top" align="center">&#x02212;1.56</td>
</tr>
<tr>
<td valign="top" align="left">Hansen test</td>
<td valign="top" align="center">0.34</td>
<td valign="top" align="center">0.65</td>
<td valign="top" align="center">0.76</td>
</tr>
<tr>
<td valign="top" align="left">N</td>
<td valign="top" align="center">330</td>
<td valign="top" align="center">330</td>
<td valign="top" align="center">330</td>
</tr></tbody>
</table>
<table-wrap-foot>
<p>The dependent variables in columns (1) to (3) are inpatients, mortality, and maternal mortality rate, respectively. <sup>&#x0002A;</sup>, <sup>&#x0002A;&#x0002A;</sup>, and <sup>&#x0002A;&#x0002A;&#x0002A;</sup> are the 10%, 5%, and 1% statistical significance levels of the estimated coefficients, respectively.</p>
</table-wrap-foot>
</table-wrap>
</sec>
<sec>
<title>5.5 Robustness test</title>
<p>To confirm the reliability of the estimated results presented in <xref ref-type="table" rid="T4">Table 4</xref> and the associated research findings, we test their robustness concerning the following four aspects. First, we recalculate the TFCEE using the slack-based measure model (<xref ref-type="bibr" rid="B58">58</xref>). Second, we replace the core explanatory variable (<italic>ICT</italic>). Specifically, we adopt the principal component analysis (PCA) to recalculate the new ICT development index (<italic>ICT_PCA</italic>). Third, this study re-estimates the benchmark model using the difference GMM estimator. Finally, we rerun the benchmark model after shortening the sample period by 1 year, from 2008&#x02013;2019 to 2009&#x02013;2019, to account for the potential impact of the 2008 great financial crisis.</p>
<p>Results corresponding to the four robustness procedures are shown in <xref ref-type="table" rid="T9">Table 9</xref>. The coefficients on the <italic>TFCEE</italic> remain statistically significant, carry positive signs, and range from 0.6740 to 0.9512 in columns (1) and (2), respectively. Furthermore, the estimated coefficients on the ICT development variable in all four columns remain statistically significant and positive. Overall, <xref ref-type="table" rid="T9">Table 9</xref> confirms that the results and research conclusions from Section 5.1 are robust and further corroborate hypothesis 1.</p>
<table-wrap position="float" id="T9">
<label>Table 9</label>
<caption><p>Robustness tests.</p></caption>
<table frame="box" rules="all">
<thead>
<tr style="background-color:#919498;color:#ffffff">
<th valign="top" align="left"><bold>Variables</bold></th>
<th valign="top" align="center"><bold>Alternative dependent variable</bold></th>
<th valign="top" align="center"><bold>Alternative explanatory variable</bold></th>
<th valign="top" align="center"><bold>Difference GMM</bold></th>
<th valign="top" align="center"><bold>Shorter period of analysis</bold></th>
</tr>
</thead>
<tbody>
<tr style="background-color:#919498;color:#ffffff">
<td/>
<td valign="top" align="center"><bold>(1)</bold></td>
<td valign="top" align="center"><bold>(2)</bold></td>
<td valign="top" align="center"><bold>(3)</bold></td>
<td valign="top" align="center"><bold>(4)</bold></td>
</tr>
<tr>
<td valign="top" align="left"><italic>LTFCEE</italic></td>
<td valign="top" align="center">0.6740<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">0.9512<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">0.7936<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">0.9329<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
</tr>
 <tr>
<td/>
<td valign="top" align="center">(0.0483)</td>
<td valign="top" align="center">(0.0127)</td>
<td valign="top" align="center">(0.0257)</td>
<td valign="top" align="center">(0.0286)</td>
</tr>
<tr>
<td valign="top" align="left"><italic>ICT</italic></td>
<td valign="top" align="center">0.2797<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td/>
<td valign="top" align="center">0.0513<sup>&#x0002A;</sup></td>
<td valign="top" align="center">0.0780<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
</tr>
 <tr>
<td/>
<td valign="top" align="center">(0.0887)</td>
<td/>
<td valign="top" align="center">(0.0255)</td>
<td valign="top" align="center">(0.0235)</td>
</tr>
<tr>
<td valign="top" align="left"><italic>ICT_PCA</italic></td>
<td/>
<td valign="top" align="center">0.0063<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td/>
<td/>
</tr>
 <tr>
<td/>
<td/>
<td valign="top" align="center">(0.0012)</td>
<td/>
<td/>
</tr>
<tr>
<td valign="top" align="left">Controls</td>
<td valign="top" align="center">Yes</td>
<td valign="top" align="center">Yes</td>
<td valign="top" align="center">Yes</td>
<td valign="top" align="center">Yes</td>
</tr>
<tr>
<td valign="top" align="left">m1 (Z-statistic)</td>
<td valign="top" align="center">&#x02212;2.43<sup>&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">&#x02212;1.66<sup>&#x0002A;</sup></td>
<td valign="top" align="center">&#x02212;1.84<sup>&#x0002A;</sup></td>
<td valign="top" align="center">&#x02212;1.66<sup>&#x0002A;</sup></td>
</tr>
<tr>
<td valign="top" align="left">m2 (Z-statistic)</td>
<td valign="top" align="center">&#x02212;0.20</td>
<td valign="top" align="center">0.89</td>
<td valign="top" align="center">0.96</td>
<td valign="top" align="center">0.84</td>
</tr>
<tr>
<td valign="top" align="left">Hansen test</td>
<td valign="top" align="center">0.42</td>
<td valign="top" align="center">0.18</td>
<td valign="top" align="center">0.87</td>
<td valign="top" align="center">0.24</td>
</tr>
<tr>
<td valign="top" align="left">N</td>
<td valign="top" align="center">330</td>
<td valign="top" align="center">330</td>
<td valign="top" align="center">300</td>
<td valign="top" align="center">300</td>
</tr></tbody>
</table>
<table-wrap-foot>
<p>The dependent variable is the TFCEE. <sup>&#x0002A;</sup>, <sup>&#x0002A;&#x0002A;</sup>, and <sup>&#x0002A;&#x0002A;&#x0002A;</sup> are the 10%, 5%, and 1% statistical significance levels of the estimated coefficients, respectively.</p>
</table-wrap-foot>
</table-wrap></sec>
</sec>
<sec id="s6">
<title>6 Conclusions and policy implications</title>
<p>Considering the ICT&#x00027;s rapid advancements and the urgency of meeting goals for carbon peaking and net zero, the study takes data from 30 Chinese provinces during the 2008&#x02013;2019 period. We use the 2SGMM dynamic models to empirically test the impact of ICT development on the TFCEE and the mediation, threshold, and moderating effects, as well as the health co-benefits. This study delivers several significant findings. First, ICT development significantly increases the TFCEE. Second, ICT can indirectly improve TFCEE through green innovation and energy structure optimization. Moreover, when green innovation (energy structure) switches from below to above (above to below) its threshold value, the promotional effect of ICT development on the TFCEE increases substantially in magnitude. Third, TFCEE improvement has significant public health-related co-benefits by significantly reducing the inpatient and mortality ratios.</p>
<p>Three policy implications can be derived from our findings. First, from the perspective of TFCEE improvement, the results suggest policies promoting the cross-industry application of ICT. Primarily, policymakers should focus on the digital and intelligent transformation of energy- and environment-related fields to realize the normalization of ICT applications, decoupling economic growth from carbon emissions and creating new impetus for the promotion of TFCEE. Second, concerning the mediating effects of ICT development on the TFCEE, Chinese decision-makers should foster favorable conditions for realizing the positive ICT effect on green innovation. For instance, they could consider upgrading the intellectual property protection system for green innovation. Moreover, the development of the energy internet should be regarded as an essential direction for energy structure optimization. It is also vital to promote intelligent upgrading of the energy system. Third, from the public health co-benefits perspective, the significant role of TFCEE in decreasing the inpatient and mortality ratios should be emphasized to enhance the motivation of relevant stakeholders in the field of public health toward improving the TFCEE.</p>
<p>Our examination of the ICT-TFCEE nexus is at the provincial level due to the availability of ICT development data. With continuous data enrichment, future research could be conducted at different spatial units, e.g., prefectural and enterprise levels. Moreover, once more data is available, it would be interesting to see whether the recent exogeneous macroeconomic shock of the COVID-19 pandemic and related policies (e.g., lockdowns) affect the documented results and findings. Finally, we advocate further research on the long-run convergence-divergence path in public health across the cities and provinces with different levels of ICT and the TFCEE by applying the distribution dynamics approach (<xref ref-type="bibr" rid="B59">59</xref>&#x02013;<xref ref-type="bibr" rid="B61">61</xref>).</p>
</sec>
<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 sec-type="author-contributions" id="s8">
<title>Author contributions</title>
<p>JL: Conceptualization, Data curation, Software, Visualization, Methodology, Writing &#x02014; original draft, Writing &#x02014; review &#x00026; editing. MW: Conceptualization, Data curation, Supervision, Methodology, Writing &#x02014; original draft, Writing &#x02014; review &#x00026; editing, Project administration. TC: Conceptualization, Supervision, Validation, Writing &#x02014; review &#x00026; editing, Project administration.</p>
</sec>
</body>
<back>
<sec sec-type="funding-information" id="s9">
<title>Funding</title>
<p>The author(s) declare that no financial support was received for the research, authorship, and/or publication of this article.</p>
</sec>
<sec sec-type="COI-statement" id="conf1">
<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&#x00027;s note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
<fn-group>
<fn id="fn0001"><p><sup>1</sup>Hao et al. (<xref ref-type="bibr" rid="B30">30</xref>) and Wu et al. (<xref ref-type="bibr" rid="B31">31</xref>) examine the threshold effects of ICT/internet development on electricity intensity or green total factor energy efficiency in China.</p></fn>
<fn id="fn0002"><p><sup>2</sup>2SGMM is a highly efficient estimation method in tackling the issue of endogeneity (<xref ref-type="bibr" rid="B1">1</xref>).</p></fn>
<fn id="fn0003"><p><sup>3</sup>Because the sample&#x00027;s mean values (see <xref ref-type="table" rid="T3">Table 3</xref>) of <italic>TFCEE</italic> (0.430) and <italic>ICT</italic> (0.116) and the coefficient on <italic>ICT</italic> (0.0404) in column (3) of <xref ref-type="table" rid="T4">Table 4</xref>, the average effect on the <italic>TFCCE</italic> associated with a 10 per cent increase in <italic>ICT</italic> variable is equal to 0.116<sup>&#x0002A;</sup>0.1<sup>&#x0002A;</sup>0.0404/0.430, or 0.11 per cent (<xref ref-type="bibr" rid="B52">52</xref>).</p></fn>
<fn id="fn0004"><p><sup>4</sup>All three variables are at the provincial level and obtained from the China Health Statistical Yearbook.</p></fn>
</fn-group>
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