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<journal-id journal-id-type="publisher-id">Front. Environ. Sci.</journal-id>
<journal-title>Frontiers in Environmental Science</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Environ. Sci.</abbrev-journal-title>
<issn pub-type="epub">2296-665X</issn>
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<article-id pub-id-type="publisher-id">1594858</article-id>
<article-id pub-id-type="doi">10.3389/fenvs.2025.1594858</article-id>
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<subj-group subj-group-type="heading">
<subject>Environmental Science</subject>
<subj-group>
<subject>Original Research</subject>
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<title-group>
<article-title>Toward sustainable development: the nexus between financial development, renewable energy, and carbon emissions in China</article-title>
<alt-title alt-title-type="left-running-head">Sun et al.</alt-title>
<alt-title alt-title-type="right-running-head">
<ext-link ext-link-type="uri" xlink:href="https://doi.org/10.3389/fenvs.2025.1594858">10.3389/fenvs.2025.1594858</ext-link>
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<contrib contrib-type="author">
<name>
<surname>Sun</surname>
<given-names>Yang</given-names>
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<xref ref-type="aff" rid="aff1">
<sup>1</sup>
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<contrib contrib-type="author">
<name>
<surname>Zhao</surname>
<given-names>Feng</given-names>
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<xref ref-type="aff" rid="aff2">
<sup>2</sup>
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<contrib contrib-type="author" corresp="yes">
<name>
<surname>Gao</surname>
<given-names>Liya</given-names>
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<xref ref-type="aff" rid="aff3">
<sup>3</sup>
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<xref ref-type="corresp" rid="c001">&#x2a;</xref>
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<aff id="aff1">
<sup>1</sup>
<institution>School of Business Suzhou University</institution>, <addr-line>Suzhou</addr-line>, <addr-line>Anhui</addr-line>, <country>China</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>School of Management Suzhou University</institution>, <addr-line>Suzhou</addr-line>, <addr-line>Anhui</addr-line>, <country>China</country>
</aff>
<aff id="aff3">
<sup>3</sup>
<institution>Department of International Commerce and Area Studies</institution>, <institution>Gangneung-Wonju National University</institution>, <addr-line>Gangneung</addr-line>, <country>Republic of Korea</country>
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<author-notes>
<fn fn-type="edited-by">
<p>
<bold>Edited by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/2006540/overview">Jinyu Chen</ext-link>, Central South University, China</p>
</fn>
<fn fn-type="edited-by">
<p>
<bold>Reviewed by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1458965/overview">Mohamed R. Abonazel</ext-link>, Cairo University, Egypt</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1792114/overview">Peipei Tian</ext-link>, Shandong University, China</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Liya Gao, <email>szxysxy517@ahszu.edu.cn</email>
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<pub-date pub-type="epub">
<day>17</day>
<month>09</month>
<year>2025</year>
</pub-date>
<pub-date pub-type="collection">
<year>2025</year>
</pub-date>
<volume>13</volume>
<elocation-id>1594858</elocation-id>
<history>
<date date-type="received">
<day>17</day>
<month>03</month>
<year>2025</year>
</date>
<date date-type="accepted">
<day>18</day>
<month>07</month>
<year>2025</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2025 Sun, Zhao and Gao.</copyright-statement>
<copyright-year>2025</copyright-year>
<copyright-holder>Sun, Zhao and Gao</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>
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<abstract>
<p>The accelerating emissions of greenhouse gases&#x2014;particularly carbon dioxide (CO<sub>2</sub>)&#x2014;pose serious challenges to global environmental sustainability, with China being a major contributor due to its rapid economic and financial expansion. This study investigates the nexus between financial development (FD), renewable energy consumption, and CO<sub>2</sub> emissions in China over the period 1996&#x2013;2022. Using advanced time-series econometric methods, including dynamic ordinary least squares (DOLS), fully modified ordinary least squares (FMOLS), canonical cointegration regression (CCR), and Granger causality analysis, this study aims to uncover the long-run relationships and causal directions among economic growth, financial development, renewable energy use, human capital, agricultural productivity, and carbon emissions (CEs). The findings reveal five key results: (1) economic growth is positively associated with CO<sub>2</sub> emissions, confirming an environmental trade-off; (2) financial development also significantly increases emissions, indicating potential ecological risks from financial sector expansion; (3) renewable energy consumption significantly reduces CO<sub>2</sub> emissions, confirming its role in promoting environmental quality; (4) human capital and agricultural productivity both contribute to emission reduction; and (5) causality tests show unidirectional and bidirectional relationships among variables, highlighting the interdependence of energy, finance, and environmental dynamics. The study concludes that China can reduce carbon emissions without compromising economic growth by accelerating renewable energy adoption, investing in green technologies, and promoting sustainable agricultural practices through targeted environmental and economic policies.</p>
</abstract>
<kwd-group>
<kwd>climate change</kwd>
<kwd>carbon dioxide emissions</kwd>
<kwd>economic growth</kwd>
<kwd>renewable energy</kwd>
<kwd>China</kwd>
</kwd-group>
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<page-count count="18"/>
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<meta-name>section-at-acceptance</meta-name>
<meta-value>Environmental Economics and Management</meta-value>
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<body>
<sec id="s1">
<title>1 Introduction</title>
<p>China, as the world&#x2019;s largest developing economy and a leading emitter of greenhouse gases, faces a critical challenge in balancing economic growth and environmental sustainability. The country&#x2019;s rapid industrialization, urbanization, and financial sector expansion have significantly intensified carbon dioxide (CO<sub>2</sub>) emissions, aggravating the already pressing global climate crisis. Despite national and international commitments to climate mitigation, China&#x2019;s economic model remains heavily reliant on fossil fuel consumption, which exacerbates environmental degradation and jeopardizes its long-term ecological security. Although financial development (FD) is considered vital for mobilizing investments and stimulating economic progress, its environmental implications remain ambiguous&#x2014;while it can support green innovation and clean energy, it may also promote energy-intensive industries and increase emissions through credit expansion and consumerism. Similarly, although renewable energy is widely recognized for its potential to decarbonize energy systems, its actual impact on CO<sub>2</sub> emissions in China remains debated due to technological, regional, and institutional constraints. Compounding these are structural factors such as human capital limitations and decreasing agricultural productivity, which influence environmental outcomes but remain underexplored in the empirical literature. These complex and sometimes conflicting dynamics highlight a critical gap in understanding the integrated role of financial development, renewable energy, and sectoral productivity in shaping China&#x2019;s environmental trajectory. Therefore, a comprehensive empirical investigation is needed to disentangle these interrelationships and provide clear, evidence-based insights to support the country&#x2019;s transition toward a low-carbon and sustainable development path.</p>
<p>China&#x2019;s unparalleled economic ascent has been powered largely by rapid industrialization, urban expansion, and a finance-driven growth model that together have pushed national energy demand to record levels (<xref ref-type="bibr" rid="B47">Tian et al., 2024a</xref>). Much of this demand is still met by coal-dominated power generation, which explains why the country is responsible for nearly one-third of global energy-related CO<sub>2</sub> emissions (<xref ref-type="bibr" rid="B38">Ma et al., 2024</xref>). Although Beijing has pledged to peak emissions before 2030 and achieve carbon neutrality by 2060, the pathway to these targets remains uncertain because the drivers of emissions are intertwined with the very engines of growth&#x2014;credit allocation, capital accumulation, and aggressive infrastructure spending (<xref ref-type="bibr" rid="B48">Tian et al., 2025</xref>). Financial institutions facilitate investment across the economy, but easier credit can just as easily underwrite coal-fired plants and energy-intensive manufacturing as it can support low-carbon technologies. At the same time, decarbonization requires huge upfront capital&#x2014;an arena where a deep, liquid financial system could, in principle, be transformative if it channels funds toward green projects (<xref ref-type="bibr" rid="B16">Dong and Yu, 2024</xref>). This duality makes China an ideal laboratory for examining whether the maturation of its financial sector ultimately amplifies or attenuates environmental pressure.</p>
<p>Parallel to financial deepening is the country&#x2019;s accelerating build-out of renewable energy. China already leads the world in solar and wind capacity additions, and its 14th Five-Year Plan calls for non-fossil sources to supply approximately 25% of primary energy by 2030 (<xref ref-type="bibr" rid="B60">Xu et al., 2025</xref>). Yet evidence on the decarbonization effects of renewables remains mixed. Some regional studies show that larger shares of wind and solar displace coal and reduce CO<sub>2</sub> emissions (<xref ref-type="bibr" rid="B33">Liu et al., 2025</xref>), while others note rebound effects and curtailment that diminish the net benefits (<xref ref-type="bibr" rid="B49">Tian et al., 2024b</xref>). The environmental payoff from renewables may thus depend on complementary factors such as grid flexibility, technological innovation, and&#x2014;importantly&#x2014;how financial resources are steered toward mature, scalable clean-energy projects. Understanding whether renewable energy consumption genuinely offsets the carbon footprint of economic activity, therefore, requires situating it within the broader financial and structural context.</p>
<p>Human capital and agricultural productivity add further complexity. A more educated workforce can accelerate the diffusion of green technologies and improve energy efficiency through skill-biased technological changes (<xref ref-type="bibr" rid="B58">Xia et al., 2025</xref>). Meanwhile, modernizing agriculture can act as both a sink and a source of emissions: mechanization increases energy use, yet climate-smart practices, higher yields, and biomass sequestration can reduce net CO<sub>2</sub> emissions. These multifaceted interactions suggest that carbon outcomes hinge not only on headline economic growth but also on how labor quality and sectoral transformation evolve alongside finance and energy systems.</p>
<p>Against this backdrop, the study poses a central question: How do financial development, renewable energy uptake, human capital accumulation, and agricultural value added jointly shape China&#x2019;s carbon trajectory? By applying a suite of long-run cointegration and causality tests to national-level time-series data, the analysis offers a holistic lens on the economic&#x2013;energy&#x2013;environment nexus. The insights are germane not only to China&#x2019;s own carbon-neutrality ambitions but also to other emerging economies grappling with the twin imperatives of sustaining growth and safeguarding the climate.</p>
<p>This study contributes to the literature by offering a comprehensive long-term analysis of the nexus between financial development, renewable energy consumption, and CO<sub>2</sub> emissions in China using annual time-series data from 1996 to 2022. Using a robust econometric approach&#x2014;including dynamic ordinary least squares (DOLS) as the primary estimation technique, supported by fully modified ordinary least squares (FMOLS), canonical cointegration regression (CCR), and pairwise Granger causality tests&#x2014;the study accounts for integration properties, structural dynamics, and directionality among variables. By incorporating additional factors such as human capital and agricultural value-added into the model, this study broadens the scope of environmental impact assessment beyond conventional variables. The China-specific focus enriches the literature with country-level empirical evidence that bridges the theoretical gap between financial growth and environmental sustainability. Furthermore, the causal insights derived from this study provide actionable implications for policymakers aiming to design low-carbon, finance-aligned development strategies in emerging economies.</p>
<p>The remainder of this study is structured into six sections. <xref ref-type="sec" rid="s1">Section 1</xref> introduces the study. <xref ref-type="sec" rid="s2">Section 2</xref> focuses on international commerce and environmental contamination, which are the primary subjects of the literature review and form the bulk of our research. In <xref ref-type="sec" rid="s3">Section 3</xref>, we discuss the study&#x2019;s methodology and data. <xref ref-type="sec" rid="s4">Section 4</xref> presents the results of the empirical investigation. The results are detailed in <xref ref-type="sec" rid="s5">Section 5</xref>. Finally, <xref ref-type="sec" rid="s6">Section 6</xref> concludes the study by summarizing the findings, discussing its limitations, and offering directions for future research.</p>
</sec>
<sec id="s2">
<title>2 Literature reviews</title>
<p>An expanding body of the literature has begun to explore the complex relationship between financial development and CO<sub>2</sub> emissions, reflecting the growing recognition of finance as a pivotal driver of environmental outcomes. Although empirical findings remain mixed, the diversity of results can largely be attributed to differences in methodological frameworks, sample selection, and regional heterogeneity. On one hand, several studies argue that financial development contributes positively to environmental quality by facilitating investment in cleaner technologies and enhancing the efficiency of resource allocation. For instance, a study examining 26 African countries over the period 1985&#x2013;2011 found that advancements in both political institutions and financial systems were associated with a significant reduction in CO<sub>2</sub> emissions. In 24 MENA nations, financial progress was associated with a moderate decrease in carbon emissions (CEs) (CO<sub>2</sub>). Although some researchers have concluded that financial development reduces carbon emissions, others have reached the opposite conclusion. Using the top 10 carbon-emitting nations as their case study, <xref ref-type="bibr" rid="B17">Fatima et al. (2021)</xref> discovered that economic growth greatly increased carbon emissions. Using data from 13 G20 member nations as a representative sample, <xref ref-type="bibr" rid="B29">Li et al. (2023)</xref> determined that economic growth was associated with higher carbon emissions. The impact of economic growth on greenhouse gas emissions differs between research samples and financial development indicators, according to some researchers who have conducted more in-depth studies. In China&#x2019;s industrialized areas, financial development was shown to be adversely associated with carbon emissions, but in the undeveloped regions, the opposite was true. <xref ref-type="bibr" rid="B28">Li H. et al. (2021)</xref> showed that financial development had varied impacts on carbon emission reduction across 30 Chinese provinces and found that stock markets in developed countries drastically reduced carbon emissions, while those in developing markets dramatically increased them. Following the 2008 financial crisis, <xref ref-type="bibr" rid="B22">Islam et al. (2021)</xref> focused on how financial development affected CO<sub>2</sub> emissions. Overall, they demonstrated that FD decreased carbon emissions. According to the results of the study, which examined financial growth in the banking industry, the association had a positive impact on the relationship between GDP, population growth, and greenhouse gas emissions in G-7 nations but a negative impact in the N-11 countries. From a methodological standpoint, researchers use a wide variety of models and techniques. <xref ref-type="bibr" rid="B44">Shafique et al. (2020)</xref> used the autoregressive distributed lag (ARDL)bounds testing approach on French time-series data. Reducing CO<sub>2</sub> emissions was one of the outcomes of financial development, particularly financial stability. Additionally, the study&#x2019;s findings provided credence to the environmental Kuznets curve (EKC) (pollution havens and environment) theory. <xref ref-type="bibr" rid="B7">Ben Lahouel et al. (2022)</xref> validated the EKC curve using time-series data from Turkey and the ARDL bounds testing approach. According to the findings, the EKC theory is correct. The results demonstrated that CO<sub>2</sub> emissions increased as the banking industry expanded. Time-series ARDL results demonstrated that carbon emissions decrease in tandem with economic progress. Using data up to 2016, <xref ref-type="bibr" rid="B31">Li et al. (2022)</xref> investigated the possibility of an EKC for China using the ARDL approach. They proved the existence of the EKC and demonstrated that CEs decreased through increased trade in goods and services. CO<sub>2</sub> emissions in Ghana increased as a result of economic growth, according to <xref ref-type="bibr" rid="B64">Ye et al. (2020)</xref> and <xref ref-type="bibr" rid="B5">Amin et al. (2022)</xref>, who demonstrated that larger financial transactions increased CO<sub>2</sub> emissions. To investigate how changes in financial development affect CO<sub>2</sub> emissions, <xref ref-type="bibr" rid="B24">Kuang et al. (2022)</xref> used panel ARDL. Findings from the Americas and Asia demonstrated that financial development contributed to lower CO<sub>2</sub> emissions by promoting the creation of eco-friendly technologies. According to panel ARDL results, CO<sub>2</sub> emissions in developed nations decreased as a result of international trade, , whereas emissions in developing nations increased due to foreign direct investment.</p>
<p>The impact of increasing incomes on greenhouse gas emissions differs across countries, according to earlier scholarly work (<xref ref-type="bibr" rid="B23">Kocak and Alnour, 2022</xref>; <xref ref-type="bibr" rid="B69">Zhang et al., 2022</xref>; <xref ref-type="bibr" rid="B10">Carroll and Stevens, 2021</xref>). It is difficult for policymakers to predict whether FD has a beneficial or negative impact on the release of carbon dioxide (<xref ref-type="bibr" rid="B2">Akram et al., 2020</xref>). The sample size, econometric method, and proxy use all play a role in shaping these conclusions (<xref ref-type="bibr" rid="B30">Li J. et al., 2021</xref>). There are two schools of thought in the literature regarding how economic growth affects carbon emissions (<xref ref-type="bibr" rid="B41">Ozturk et al., 2021</xref>). According to one theory, the growth of the FD industry is worsening the environmental conditions due to the CO<sub>2</sub> it generates&#x2014;particularly on a weekly basis, including Sundays. Increasing activity in the financial industry and the use of fossil fuels both contribute to environmental degradation, according to these studies (<xref ref-type="bibr" rid="B19">Hu et al., 2022</xref>); Sunday (<xref ref-type="bibr" rid="B72">Zhou et al., 2022</xref>). From a global perspective, it has been shown that in developing and emerging economies, carbon emissions might substantially increase as a result of financial growth. Despite this, industrialized nations&#x2019; carbon emissions were unaffected by financial development. Another empirical study found that the use of renewable energy sources is correlated with environmental degradation and total energy consumption. Sunday <xref ref-type="bibr" rid="B61">Xu et al. (2022)</xref> found that economic growth in MINT nations has both positive and negative impacts on emissions. Greenhouse gas emissions and GDP growth are both boosted by financial development. Furthermore, it is shown that a person&#x2019;s level of financial development greatly influences their energy intensity and long-term carbon emissions, leading to an overall increase. However, according to the second theory, FD helps the ecosystem become more sustainable (<xref ref-type="bibr" rid="B41">Ozturk et al., 2021</xref>; <xref ref-type="bibr" rid="B35">Liu et al., 2021</xref>; <xref ref-type="bibr" rid="B4">Alola et al., 2023</xref>). The second school of thought is that we may improve the economy and the environment at the same time by enhancing the financial sector (<xref ref-type="bibr" rid="B36">Lu et al., 2021</xref>). One of the most important ways to reduce carbon emissions for companies is to invest in greener technologies. More eco-friendly technology research and development is made feasible by FD, which helps guarantee the planet&#x2019;s long-term survival (<xref ref-type="bibr" rid="B43">Saqib et al., 2023</xref>). In addition, a well-developed financial system is a sign of a financially stable economy. FD helps support environmental sustainability by promoting environmentally friendly business practices, such as the adoption of greener technologies in energy-intensive industries. In simple terms, a robust and healthy financial sector promotes investment in environmentally friendly technologies that help reduce CO<sub>2</sub> emissions. <xref ref-type="bibr" rid="B40">Malik et al. (2020)</xref> emphasized that renewable energy, environmental technology, and financial development all hold promise as effective means of reducing carbon emissions.</p>
<sec id="s2-1">
<title>2.1 Renewable energy and CO<sub>2</sub> emissions</title>
<p>The Kyoto Protocol and the Agreement on Climate Change are only two of many programs that have advocated for energy production through sustainable resources&#x2014;such as wind, solar, and hydro biofuels&#x2014;to generate electricity, heat homes, and power vehicles. All of this is aimed at mitigating the impact of climate change. The Sustainable Development Goals (SDGs), along with broader environmental, social, and governance objectives, can only be achieved by reducing carbon emissions while simultaneously increasing the economic impact of green energy&#x2014;reflecting the historical linkage between environmental progress and economic development. Many studies have found a positive correlation between reduced fossil fuel consumption, increasing energy prices, and the use of alternative energy sources. Using panel data from GCC nations, the research team examined the relationship between natural gas use and financial development. The study discovered a favorable correlation between the energy usage in GCC nations and economic development. Their examination of panel data led them to the same conclusion: renewable energy, rather than nuclear power, helps lower carbon emissions and, in the long run, boosts economic development.</p>
<p>Worldwide, severe weather events have been more common since the 1990s, when humans began spewing vast amounts of emissions of combustion byproducts into the air, including carbon dioxide. Therefore, there has been heated discussion and no agreement among scholars worldwide regarding the impact of the fast expansion of renewable energy sources on ecological sustainability (<xref ref-type="bibr" rid="B25">Latif et al., 2021</xref>; <xref ref-type="bibr" rid="B3">Aljundi et al., 2024</xref>; <xref ref-type="bibr" rid="B39">Makhdum et al., 2022</xref>). In addressing climate change, renewable energy sources are considered the most effective option for lowering CO<sub>2</sub> levels in the atmosphere and ensuring long-term ecological sustainability (<xref ref-type="bibr" rid="B21">Ikram et al., 2020</xref>; <xref ref-type="bibr" rid="B73">X. Zhou et al., 2020</xref>). Nevertheless, the features of the implemented technology, important nations or areas, the scientific process, and financial factors cause the empirical findings to be inconsistent. One example is that using renewable energy sources considerably reduces CO<sub>2</sub> emissions, as shown by S. <xref ref-type="bibr" rid="B34">Liu et al. (2022)</xref>, who examined the variables impacting this use in 64 countries from 1990 to 2011. By investigating the functional use of green power sources for reducing carbon emissions in the E7 nations, <xref ref-type="bibr" rid="B46">Tawiah et al. (2021)</xref> and <xref ref-type="bibr" rid="B42">Sadiq et al. (2022)</xref> came to a favorable conclusion. This aligns with the findings of <xref ref-type="bibr" rid="B8">Caglar et al. (2022)</xref> regarding China and the BRICS nations; however, the researchers discovered that unexpectedly low levels of renewable energy cause pollution emissions to increase over time. The correlation between renewable energy use and CO<sub>2</sub> emissions in OECD nations from 1970 to 2015 was investigated using the Silva and Machado quantile regression method within a panel data framework. They found a positive correlation between the amount of carbon emissions and the use of renewable energy sources <italic>per capita</italic> over the long run and also noted that the reverse is also true for these nations. In addition, renewable energy sources greatly reduce carbon dioxide emissions, and the two ideas are interdependent. A further discovery was the existence of a feedback causal relationship between CO<sub>2</sub> emissions and the use of green power sources. For example, when examining the use of renewable energy sources and carbon emissions in West African nations from 1990 to 2018, the authors used the CCEMG and DCCEMG estimation methods to assess the relationship. According to their findings, renewable energy sources and carbon dioxide emissions in West African nations are inversely related. From 1997 to 2017, researchers in the United States examined the 10 most populous states using an NARDL estimating approach to determine the unequal effect of green power&#x2019;s impact on carbon dioxide emissions.</p>
</sec>
</sec>
<sec id="s3">
<title>3 Data and methodology</title>
<sec id="s3-1">
<title>3.1 Model specification</title>
<p>We use the following empirical model to examine the effect of monetary growth and renewable energy use on CO<sub>2</sub> emissions in China, based on previous research of <xref ref-type="bibr" rid="B63">Yang et al. (2020)</xref>, <xref ref-type="bibr" rid="B18">Goczek et al. (2021)</xref>, and <xref ref-type="bibr" rid="B54">Wang and Li (2021)</xref>:<disp-formula id="e1">
<mml:math id="m1">
<mml:mrow>
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</mml:msub>
<mml:mo>&#x3d;</mml:mo>
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<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
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<mml:mtext>GDP</mml:mtext>
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<mml:mi mathvariant="normal">t</mml:mi>
</mml:msub>
<mml:mo>,</mml:mo>
<mml:msub>
<mml:mtext>HUC</mml:mtext>
<mml:mi mathvariant="normal">t</mml:mi>
</mml:msub>
<mml:mo>,</mml:mo>
<mml:msub>
<mml:mtext>AVA</mml:mtext>
<mml:mi mathvariant="normal">t</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>.</mml:mo>
</mml:mrow>
</mml:math>
<label>(1)</label>
</disp-formula>
</p>
<p>In <xref ref-type="disp-formula" rid="e1">Equation 1</xref>, CO<sub>2</sub> represents carbon dioxide emissions, FD stands for financial development, GDP refers to gross domestic product, REC indicates the use of renewable energy, HUC denotes human capital, and AVA represents agricultural production in China. In this study, the econometric model based on time-series linear data is presented in <xref ref-type="disp-formula" rid="e2">Equation 2</xref>:<disp-formula id="e2">
<mml:math id="m2">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>O</mml:mi>
<mml:mn>2</mml:mn>
</mml:mrow>
<mml:mi>t</mml:mi>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mi>&#x3b2;</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3b2;</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
<mml:msub>
<mml:mrow>
<mml:mi>G</mml:mi>
<mml:mi>D</mml:mi>
<mml:mi>P</mml:mi>
</mml:mrow>
<mml:mi>t</mml:mi>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3b2;</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:msub>
<mml:mrow>
<mml:mi>F</mml:mi>
<mml:mi>D</mml:mi>
</mml:mrow>
<mml:mi>t</mml:mi>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3b2;</mml:mi>
<mml:mn>3</mml:mn>
</mml:msub>
<mml:msub>
<mml:mrow>
<mml:mi>R</mml:mi>
<mml:mi>E</mml:mi>
<mml:mi>C</mml:mi>
</mml:mrow>
<mml:mi>t</mml:mi>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3b2;</mml:mi>
<mml:mn>4</mml:mn>
</mml:msub>
<mml:msub>
<mml:mrow>
<mml:mi>H</mml:mi>
<mml:mi>U</mml:mi>
<mml:mi>C</mml:mi>
</mml:mrow>
<mml:mi>t</mml:mi>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3b2;</mml:mi>
<mml:mn>5</mml:mn>
</mml:msub>
<mml:msub>
<mml:mrow>
<mml:mi>A</mml:mi>
<mml:mi>V</mml:mi>
<mml:mi>A</mml:mi>
</mml:mrow>
<mml:mi>t</mml:mi>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3bc;</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
<mml:mo>.</mml:mo>
</mml:mrow>
</mml:math>
<label>(2)</label>
</disp-formula>
</p>
<p>The time period from 1996 to 2022 is represented by the interval t. &#x3b2;<sub>0</sub> represents the function&#x2019;s intercept. The variables and the following equations reflect the growth of GDP, expansion of the financial sector, consumption of renewable energy, human capital, and agricultural productivity in the following sequence: &#x3b2;<sub>1</sub>, &#x3b2;<sub>2</sub>, &#x3b2;<sub>3</sub>, &#x3b2;<sub>4</sub>, and &#x3b2;<sub>5</sub>. Finally, the fluctuating mistake component is represented by &#xb5;.</p>
<p>In addition, the research variables&#x2019; data are converted to natural logarithms to intentionally decrease the problem of heteroskedasticity. The direct elasticities provided by log-linear variables are particularly helpful for interpretation (<xref ref-type="bibr" rid="B26">Le et al., 2020</xref>). Therefore, using a panel specification, the converted log-non-linear models enhanced a CO<sub>2</sub> emission function that is not linear with several variables, as expressed in <xref ref-type="disp-formula" rid="e3">Equation 3</xref>:<disp-formula id="e3">
<mml:math id="m3">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>L</mml:mi>
<mml:mi>C</mml:mi>
<mml:mi>O</mml:mi>
<mml:mn>2</mml:mn>
</mml:mrow>
<mml:mi>t</mml:mi>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mi>&#x3b2;</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3b2;</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
<mml:msub>
<mml:mrow>
<mml:mi>L</mml:mi>
<mml:mi>G</mml:mi>
<mml:mi>D</mml:mi>
<mml:mi>P</mml:mi>
</mml:mrow>
<mml:mi>t</mml:mi>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3b2;</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:msub>
<mml:mrow>
<mml:mi>L</mml:mi>
<mml:mi>F</mml:mi>
<mml:mi>D</mml:mi>
</mml:mrow>
<mml:mi>t</mml:mi>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3b2;</mml:mi>
<mml:mn>3</mml:mn>
</mml:msub>
<mml:msub>
<mml:mrow>
<mml:mi>L</mml:mi>
<mml:mi>R</mml:mi>
<mml:mi>E</mml:mi>
<mml:mi>C</mml:mi>
</mml:mrow>
<mml:mi>t</mml:mi>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3b2;</mml:mi>
<mml:mn>4</mml:mn>
</mml:msub>
<mml:msub>
<mml:mrow>
<mml:mi>L</mml:mi>
<mml:mi>H</mml:mi>
<mml:mi>U</mml:mi>
<mml:mi>C</mml:mi>
</mml:mrow>
<mml:mi>t</mml:mi>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3b2;</mml:mi>
<mml:mn>5</mml:mn>
</mml:msub>
<mml:msub>
<mml:mrow>
<mml:mi>L</mml:mi>
<mml:mi>A</mml:mi>
<mml:mi>V</mml:mi>
<mml:mi>A</mml:mi>
</mml:mrow>
<mml:mi>t</mml:mi>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3bc;</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>.</mml:mo>
</mml:mrow>
</mml:math>
<label>(3)</label>
</disp-formula>
</p>
</sec>
<sec id="s3-2">
<title>3.2 Estimation strategy</title>
<sec id="s3-2-1">
<title>3.2.1 Unit root test</title>
<p>Before conducting any time-series regression analysis, it is essential to verify the stationarity properties of the variables (<xref ref-type="table" rid="T1">Table 1</xref>) to avoid the pitfalls of spurious regression. Stationarity ensures that the statistical properties of a series, such as mean, variance, and autocorrelation, are constant over time, which is a prerequisite for reliable inference in most econometric models. Consequently, testing for unit roots is a crucial first step in identifying the order of integration for each variable in the dataset. In line with best practices in empirical econometrics and acknowledging the variation in test performance across different sample sizes (<xref ref-type="bibr" rid="B51">Ullah et al., 2024</xref>), we use a trio of widely used unit root tests to robustly determine the integration order: the augmented Dickey&#x2013;Fuller (ADF) test, the Phillips&#x2013;Perron (PP) test, and the Dickey&#x2013;Fuller generalized least squares (DF-GLS) test. Each of these tests examines the null hypothesis of a unit root (i.e., non-stationarity) against the alternative of stationarity, albeit with differing sensitivities to serial correlation and heteroskedasticity in the data. The implementation of these tests allows for a comprehensive validation of the data&#x2019;s time-series properties. Only once the stationarity&#x2014;or lack thereof&#x2014;of each series is confirmed can cointegration and long-run estimations proceed with methodological rigor. These tests reveal whether the series are stationary at levels or require differencing, thereby justifying our subsequent application of the DOLS approach. DOLS is particularly effective in the presence of integrated variables of order one, I(1), and provides consistent long-run parameter estimates while addressing potential endogeneity and serial correlation. In summary, the unit root testing process serves as a foundational diagnostic step to confirm the appropriateness of the chosen econometric framework and ensure the validity and robustness of the empirical findings presented in the subsequent analysis.</p>
<table-wrap id="T1" position="float">
<label>TABLE 1</label>
<caption>
<p>Variable&#x2019;s description.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Variable</th>
<th align="left">Description</th>
<th align="left">Logarithmic form</th>
<th align="left">Measurement unit</th>
<th align="left">Source</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">CO<sub>2</sub>
</td>
<td align="left">Carbon emission</td>
<td align="left">LCO<sub>2</sub>
</td>
<td align="left">Kilotons</td>
<td align="left">Chinese Statistical yearbook (CYS)</td>
</tr>
<tr>
<td align="left">GDP</td>
<td align="left">Economic growth</td>
<td align="left">LGDP</td>
<td align="left">% of annual GDP</td>
<td align="left">Chinese Statistical Yearbook (CYS)</td>
</tr>
<tr>
<td align="left">FD</td>
<td align="left">Financial development</td>
<td align="left">LFD</td>
<td align="left">Domestic credit to private sector (% of GDP)</td>
<td align="left">Chinese Statistical Yearbook (CYS)</td>
</tr>
<tr>
<td align="left">REC</td>
<td align="left">Renewable energy consumption</td>
<td align="left">LREC</td>
<td align="left">Percentage of total final energy use</td>
<td align="left">Chinese Statistical Yearbook (CYS)</td>
</tr>
<tr>
<td align="left">HUC</td>
<td align="left">Human capital</td>
<td align="left">LHUC</td>
<td align="left">Number of college students divided by the total population</td>
<td align="left">Chinese Statistical Yearbook (CYS)</td>
</tr>
<tr>
<td align="left">AVA</td>
<td align="left">Agricultural productivity</td>
<td align="left">LAVA</td>
<td align="left">Agricultural value added (% of GDP)</td>
<td align="left">Chinese Statistical Yearbook (CYS)</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="s3-2-2">
<title>3.2.2 Cointegration test</title>
<p>To rigorously examine the existence of a long-run equilibrium relationship among the variables under investigation, it is essential to conduct a cointegration analysis. This is particularly relevant in the context of macroeconomic time series, where variables are often non-stationary at levels but may exhibit a stable long-term relationship when combined linearly. Establishing such cointegration ensures that despite short-term deviations, the variables tend to move together over time, maintaining a form of equilibrium association.</p>
<p>Recognizing potential cross-sectional dependence and heterogeneous dynamics in the dataset, the study adopts panel-based cointegration techniques that allow for individual-specific effects. As a first step, the long-run relationship is estimated through the following general model shown in <xref ref-type="disp-formula" rid="e4">Equation 4</xref>:<disp-formula id="e4">
<mml:math id="m4">
<mml:mrow>
<mml:msub>
<mml:mi>Y</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mi>&#x3b1;</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3b4;</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mi>t</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:mstyle displaystyle="true">
<mml:munder>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>j</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:munder>
</mml:mstyle>
<mml:mtext>&#x2009;</mml:mtext>
<mml:msub>
<mml:mi>&#x3bb;</mml:mi>
<mml:mrow>
<mml:mi>j</mml:mi>
<mml:mi>i</mml:mi>
</mml:mrow>
</mml:msub>
<mml:msub>
<mml:mi>X</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:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3b5;</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:mrow>
</mml:math>
<label>(4)</label>
</disp-formula>
</p>
<p>Here, <inline-formula id="inf1">
<mml:math id="m5">
<mml:mrow>
<mml:msub>
<mml:mi>Y</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:math>
</inline-formula> represents the dependent variable for entity <italic>i</italic> at time <italic>t</italic>, while <inline-formula id="inf2">
<mml:math id="m6">
<mml:mrow>
<mml:msub>
<mml:mi>X</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:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula> represents the explanatory variables, <inline-formula id="inf3">
<mml:math id="m7">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b1;</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> denotes individual fixed effects, and <inline-formula id="inf4">
<mml:math id="m8">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b4;</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> represents individual deterministic trends. The residual term <inline-formula id="inf5">
<mml:math id="m9">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b5;</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:math>
</inline-formula> reflects deviations from the long-run path and serves as the basis for testing cointegration. To determine whether cointegration exists, we test the null hypothesis of no cointegration by applying unit root tests to the residuals. In particular, we assess the autoregressive process, as shown in <xref ref-type="disp-formula" rid="e5">Equation 5</xref>:<disp-formula id="e5">
<mml:math id="m10">
<mml:mrow>
<mml:msub>
<mml:mi>e</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
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<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mi>&#x3c1;</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<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>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>w</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
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<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>.</mml:mo>
</mml:mrow>
</mml:math>
<label>(5)</label>
</disp-formula>
</p>
<p>A value of <inline-formula id="inf6">
<mml:math id="m11">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3c1;</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> suggests that the residual series contains a unit root, implying no cointegration among the variables. Rejecting this null hypothesis supports the presence of cointegration. In line with <xref ref-type="bibr" rid="B67">Yu et al. (2024)</xref>, we compute both asymptotic and finite-sample statistics to strengthen inference.</p>
<p>Recognizing heterogeneity in both short-run dynamics and long-run slope coefficients <inline-formula id="inf7">
<mml:math id="m12">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3bb;</mml:mi>
<mml:mrow>
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<mml:mi>i</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, the Pedroni cointegration test is applied using two sets of statistics. The first group&#x2014;within-dimension or panel statistics&#x2014;includes the panel v-statistic, panel rho-statistic, panel PP-statistic, and panel ADF-statistic. These statistics pool the autoregressive coefficients across individual units for joint testing. The second group&#x2014;between-dimension or group statistics&#x2014;comprises the group rho-statistic, group PP-statistic, and group ADF-statistic, which average the statistics across individual cross-sections to test for cointegration heterogeneity.</p>
<p>All seven statistics follow asymptotic normal distributions under the null hypothesis. These tests require regularity conditions, particularly the convergence of stochastic processes to Brownian motion in the limit, to ensure validity.</p>
<p>Additionally, the Kao cointegration test is applied to verify homogeneous cointegration relationships across the panel using a pooled regression with individual fixed effects. The estimated residual <inline-formula id="inf8">
<mml:math id="m13">
<mml:mrow>
<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:mrow>
</mml:math>
</inline-formula> from the regression is presented in <xref ref-type="disp-formula" rid="e6">Equation 6</xref>:<disp-formula id="e6">
<mml:math id="m14">
<mml:mrow>
<mml:msub>
<mml:mi>Y</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mi>&#x3b1;</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:mi>&#x3b2;</mml:mi>
<mml:msub>
<mml:mi>X</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
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<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>,</mml:mo>
</mml:mrow>
</mml:math>
<label>(6)</label>
</disp-formula>which is used in the following ADF equation (<xref ref-type="disp-formula" rid="e7">Equation 7</xref>):<disp-formula id="e7">
<mml:math id="m15">
<mml:mrow>
<mml:msub>
<mml:mi>e</mml:mi>
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<mml:mi>i</mml:mi>
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</mml:msub>
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<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>t</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:mstyle displaystyle="true">
<mml:munder>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>j</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:munder>
</mml:mstyle>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi>p</mml:mi>
<mml:msub>
<mml:mi>&#x3d5;</mml:mi>
<mml:mi>j</mml:mi>
</mml:msub>
<mml:mo>&#x394;</mml:mo>
<mml:msub>
<mml:mover accent="true">
<mml:mi>e</mml:mi>
<mml:mo>&#x5e;</mml:mo>
</mml:mover>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>t</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3bd;</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:math>
<label>(7)</label>
</disp-formula>
</p>
<p>Here, <inline-formula id="inf9">
<mml:math id="m16">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3bd;</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:math>
</inline-formula> denotes a white noise error term, and the lag terms <inline-formula id="inf10">
<mml:math id="m17">
<mml:mrow>
<mml:mo>&#x394;</mml:mo>
<mml:msub>
<mml:mover accent="true">
<mml:mi>e</mml:mi>
<mml:mo>&#x5e;</mml:mo>
</mml:mover>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>t</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> account for autocorrelation. Under the null hypothesis of no cointegration, <inline-formula id="inf11">
<mml:math id="m18">
<mml:mrow>
<mml:mi>&#x3bb;</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>0</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula>. Rejecting the null hypothesis suggests that the residuals are stationary and that a long-run equilibrium relationship exists among the modeled variables.</p>
</sec>
<sec id="s3-2-3">
<title>3.2.3 Long-run estimation of the DOLS test</title>
<p>This study used the differential ordinal least square (DOLS) method, the upgraded version of ordinary least squares (OLS), to examine numerical data collected annually. To address endogeneity and accurately estimate standard errors, the DOLS approach includes independent indicators along with lead and lag terms of their first differences and uses a covariance matrix robust to autocorrelation. One reliable way to assess statistical significance is using the DOLS estimators. It is possible to include different elements into the integrated framework by evaluating the endogenous indicator on external level indicators, lead indicators, and lags; this is an effective way to cope with different orders of integration. In contrast, a key advantage of the DOLS prediction is that it permits different components integrated of different orders to be included within the same framework, known as the integrated framework. By integrating time-series data of all explanatory variables, this approximation addresses problems related to indigeneity, bias in small samples, and autocorrelation. By substituting the values into <xref ref-type="disp-formula" rid="e8">Equation 8</xref>, we can obtain the DOLS estimate. From 1996 to 2022, China&#x2019;s long-term coefficient values are estimated using <xref ref-type="disp-formula" rid="e8">Equation 8</xref>:<disp-formula id="e8">
<mml:math id="m19">
<mml:mrow>
<mml:mtable class="aligned">
<mml:mtr>
<mml:mtd columnalign="right">
<mml:mrow>
<mml:mo>&#x394;</mml:mo>
<mml:mtext>LCO</mml:mtext>
<mml:msub>
<mml:mn>2</mml:mn>
<mml:mi mathvariant="normal">t</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mtd>
<mml:mtd columnalign="left">
<mml:mrow>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mi>&#x3c4;</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3c4;</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
<mml:mtext>LCO</mml:mtext>
<mml:msub>
<mml:mn>2</mml:mn>
<mml:mrow>
<mml:mi mathvariant="normal">t</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3c4;</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:mtext>LGD</mml:mtext>
<mml:msub>
<mml:mi mathvariant="normal">P</mml:mi>
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3c4;</mml:mi>
<mml:mn>3</mml:mn>
</mml:msub>
<mml:mi mathvariant="normal">L</mml:mi>
<mml:msub>
<mml:mrow>
<mml:mi>F</mml:mi>
<mml:mi>D</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3c4;</mml:mi>
<mml:mn>4</mml:mn>
</mml:msub>
<mml:mi mathvariant="normal">L</mml:mi>
<mml:msub>
<mml:mtext>REC</mml:mtext>
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd columnalign="right"/>
<mml:mtd columnalign="left">
<mml:mrow>
<mml:mspace width="1em"/>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3c4;</mml:mi>
<mml:mn>5</mml:mn>
</mml:msub>
<mml:mi mathvariant="normal">L</mml:mi>
<mml:msub>
<mml:mtext>HUC</mml:mtext>
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3c4;</mml:mi>
<mml:mn>6</mml:mn>
</mml:msub>
<mml:mi mathvariant="normal">L</mml:mi>
<mml:msub>
<mml:mtext>AVA</mml:mtext>
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:mstyle displaystyle="true">
<mml:munderover>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi mathvariant="normal">q</mml:mi>
</mml:munderover>
</mml:mstyle>
<mml:msub>
<mml:mi>&#x3b3;</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
<mml:mo>&#x394;</mml:mo>
<mml:mtext>LCO</mml:mtext>
<mml:msub>
<mml:mn>2</mml:mn>
<mml:mrow>
<mml:mi mathvariant="normal">t</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mi mathvariant="normal">i</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd columnalign="right"/>
<mml:mtd columnalign="left">
<mml:mrow>
<mml:mspace width="1em"/>
<mml:mo>&#x2b;</mml:mo>
<mml:mstyle displaystyle="true">
<mml:munderover>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi mathvariant="normal">q</mml:mi>
</mml:munderover>
</mml:mstyle>
<mml:msub>
<mml:mi>&#x3b3;</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:mo>&#x394;</mml:mo>
<mml:mtext>LGD</mml:mtext>
<mml:msub>
<mml:mi mathvariant="normal">P</mml:mi>
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>i</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:mstyle displaystyle="true">
<mml:munderover>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi mathvariant="normal">q</mml:mi>
</mml:munderover>
</mml:mstyle>
<mml:msub>
<mml:mi>&#x3b3;</mml:mi>
<mml:mn>3</mml:mn>
</mml:msub>
<mml:mo>&#x394;</mml:mo>
<mml:mi mathvariant="normal">L</mml:mi>
<mml:msub>
<mml:mtext>FD</mml:mtext>
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>i</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:mstyle displaystyle="true">
<mml:munderover>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi mathvariant="normal">q</mml:mi>
</mml:munderover>
</mml:mstyle>
<mml:msub>
<mml:mi>&#x3b3;</mml:mi>
<mml:mn>4</mml:mn>
</mml:msub>
<mml:mo>&#x394;</mml:mo>
<mml:mi mathvariant="normal">L</mml:mi>
<mml:msub>
<mml:mtext>REC</mml:mtext>
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>i</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd columnalign="right"/>
<mml:mtd columnalign="left">
<mml:mrow>
<mml:mspace width="1em"/>
<mml:mo>&#x2b;</mml:mo>
<mml:mstyle displaystyle="true">
<mml:munderover>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi mathvariant="normal">q</mml:mi>
</mml:munderover>
</mml:mstyle>
<mml:msub>
<mml:mi>&#x3b3;</mml:mi>
<mml:mn>5</mml:mn>
</mml:msub>
<mml:mo>&#x394;</mml:mo>
<mml:mi mathvariant="normal">L</mml:mi>
<mml:msub>
<mml:mtext>HUC</mml:mtext>
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>i</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:mstyle displaystyle="true">
<mml:munderover>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi mathvariant="normal">q</mml:mi>
</mml:munderover>
</mml:mstyle>
<mml:msub>
<mml:mi>&#x3b3;</mml:mi>
<mml:mn>6</mml:mn>
</mml:msub>
<mml:mo>&#x394;</mml:mo>
<mml:mi mathvariant="normal">L</mml:mi>
<mml:msub>
<mml:mtext>AVA</mml:mtext>
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>i</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3b5;</mml:mi>
<mml:mi mathvariant="normal">t</mml:mi>
</mml:msub>
<mml:mo>.</mml:mo>
</mml:mrow>
</mml:mtd>
</mml:mtr>
</mml:mtable>
</mml:mrow>
</mml:math>
<label>(8)</label>
</disp-formula>
</p>
</sec>
<sec id="s3-2-4">
<title>3.2.4 Tests for robustness using FMOLS and CCR</title>
<p>Two supplementary approaches, including the CCR, were used in this study to validate the FMOLS and DOLS findings. The FMOLS study was developed to address integration and its effects on the explanatory variables&#x2019; autocorrelation and indigeneity components. The FMOLS methodology modifies the least squares method. <xref ref-type="bibr" rid="B6">Bekun (2022)</xref>, who is also credited with applying the CCR method, reduced issues related to integrated methods, unit roots, and robust regression analyses by modifying numerical data using the networked mechanism&#x2019;s stationary component. This type of data transformation has no effect on the co-integrating relationship that the integration model predicted. The CCR adjustment separates explanatory variables with zero frequency components from the error term in co-integrating models. This results in a chi-square test and an effective estimate that are close to one another. Asymptotic cohesiveness is attained by FMOLS and CCR methods through examination of the correlation effect. <xref ref-type="disp-formula" rid="e9">Equation 9</xref> shows that, to assess flexibility over longer time periods, CCR and FMOLS coefficients are used.</p>
</sec>
<sec id="s3-2-5">
<title>3.2.5 Pairwise Granger causality test</title>
<p>The current study&#x2019;s overarching goal is to identify the variables&#x2019; interrelated causal effects. To establish a causal relationship between the variables, this study takes advantage of the Granger causality between linear pairs test. This research uses Granger causality, a &#x201c;statistical idea of causation constructed from prediction&#x201d;; it is preferred over other approaches for assessing time series because it offers several advantages. The strength of this study lies in its capacity to evaluate several delays simultaneously while ignoring lags of higher orders. An argument is put forward that if X and Y are two time series and Y &#x201c;Granger-causes&#x201d; X, then Y can help predict the future values of X. For each t &#x3d; 1, 2,&#x2026;, T, there are corresponding data series for X<sub>t</sub> and Y<sub>t</sub>, representing their corresponding values at time t. Equations may be used to apply an autoregressive model with two variables to model X<sub>t</sub> and Y<sub>t</sub> (<xref ref-type="disp-formula" rid="e9">Equations 9</xref>,<xref ref-type="disp-formula" rid="e10">10</xref>):<disp-formula id="e9">
<mml:math id="m20">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">X</mml:mi>
<mml:mi mathvariant="normal">t</mml:mi>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mrow>
<mml:mstyle displaystyle="true">
<mml:munderover>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>l</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi mathvariant="normal">p</mml:mi>
</mml:munderover>
</mml:mstyle>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">a</mml:mi>
<mml:mrow>
<mml:mn>11</mml:mn>
<mml:mo>,</mml:mo>
<mml:mi mathvariant="normal">l</mml:mi>
</mml:mrow>
</mml:msub>
<mml:msub>
<mml:mi mathvariant="normal">X</mml:mi>
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>l</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi mathvariant="normal">a</mml:mi>
<mml:mrow>
<mml:mn>12</mml:mn>
<mml:mo>,</mml:mo>
<mml:mi mathvariant="normal">l</mml:mi>
</mml:mrow>
</mml:msub>
<mml:msub>
<mml:mi mathvariant="normal">Y</mml:mi>
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>l</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3b5;</mml:mi>
<mml:mi mathvariant="normal">t</mml:mi>
</mml:msub>
<mml:mo>,</mml:mo>
</mml:mrow>
</mml:math>
<label>(9)</label>
</disp-formula>
<disp-formula id="e10">
<mml:math id="m21">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">Y</mml:mi>
<mml:mi mathvariant="normal">t</mml:mi>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mrow>
<mml:mstyle displaystyle="true">
<mml:munderover>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>l</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi mathvariant="normal">p</mml:mi>
</mml:munderover>
</mml:mstyle>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">a</mml:mi>
<mml:mrow>
<mml:mn>21</mml:mn>
<mml:mo>,</mml:mo>
<mml:mi mathvariant="normal">l</mml:mi>
</mml:mrow>
</mml:msub>
<mml:msub>
<mml:mi mathvariant="normal">X</mml:mi>
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>l</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi mathvariant="normal">a</mml:mi>
<mml:mrow>
<mml:mn>22</mml:mn>
<mml:mo>,</mml:mo>
<mml:mi mathvariant="normal">l</mml:mi>
</mml:mrow>
</mml:msub>
<mml:msub>
<mml:mi mathvariant="normal">Y</mml:mi>
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>l</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3be;</mml:mi>
<mml:mi mathvariant="normal">t</mml:mi>
</mml:msub>
<mml:mo>.</mml:mo>
</mml:mrow>
</mml:math>
<label>(10)</label>
</disp-formula>
</p>
<p>The model&#x2019;s coefficients and the residuals are represented as &#x3b5;<sub>t</sub> and &#x3be;<sub>t</sub>, respectively, and defined within the context where the model&#x2019;s order is p.</p>
<p>According to Granger causality, coefficient estimates from X to Y can be derived using the conventional least squares technique, and causality can be ascertained using F tests.</p>
</sec>
</sec>
<sec id="s3-3">
<title>3.3 Data sources</title>
<p>The primary aim of this study is to empirically investigate the long-run and causal relationships between financial development, renewable energy consumption, economic growth, human capital, agricultural productivity, and CO<sub>2</sub> emissions in China, with the overarching goal of identifying pathways toward sustainable development and emission mitigation. To achieve this, the study utilizes annual time-series data spanning from 1996 to 2022, focusing exclusively on the Chinese context. The data were sourced from reputable and consistent statistical databases to ensure accuracy and reliability. In particular, data on CO<sub>2</sub> emissions (measured in kilotons), economic growth (GDP, measured as annual percentage growth), financial development (proxied by domestic credit to the private sector as a percentage of GDP), renewable energy consumption (as a percentage of total final energy use), human capital (measured by the ratio of college students to total population), and agricultural value-added (as a percentage of GDP) were all retrieved from the Chinese Statistical Yearbook and the World Development Indicators (WDI) published by the World Bank. All variables were converted into natural logarithmic form to correct for heteroskedasticity and facilitate elasticity-based interpretation of the coefficients. This data framework allows for an in-depth examination of the dynamic interrelationships among economic, environmental, and structural variables influencing China&#x2019;s carbon emissions profile.</p>
</sec>
</sec>
<sec sec-type="results|discussion" id="s4">
<title>4 Results and discussion</title>
<sec id="s4-1">
<title>4.1 Summary statistics</title>
<p>
<xref ref-type="table" rid="T2">Table 2</xref> presents the descriptive statistics for the logged variables used in the regression model. Average CO<sub>2</sub> emissions (LCO<sub>2</sub>) are 12.85, with a relatively tight dispersion (&#x3c3; &#x3d; 0.08), indicating modest year-to-year variation in the sample. Logged GDP (LGDP) shows a broader range&#x2014;from 22.83 to 32.72&#x2014;with a standard deviation of 0.57, reflecting China&#x2019;s rapid economic expansion over the study period. Financial development (LFD) varies between 2.16 and 9.41 (&#x3c3; &#x3d; 0.29), while renewable energy consumption (LREC) remains lower in magnitude (mean &#x3d; 1.76) and less volatile (&#x3c3; &#x3d; 0.06). Human capital accumulation (LHUC) averages 14.84 and exhibits moderate variability (&#x3c3; &#x3d; 0.53), whereas agricultural value-added (LAVA) displays the widest spread (minimum &#x3d; 0.44, maximum &#x3d; 5.43, and &#x3c3; &#x3d; 0.91). Skewness values hover near 0, and kurtosis values are below three, indicating that all series are approximately symmetric and platykurtic. Jarque&#x2013;Bera probabilities exceed 0.05 for each variable, so the null hypothesis of normality cannot be rejected. Collectively, these summary statistics confirm well-behaved distributions, providing a solid foundation for subsequent econometric analysis.</p>
<table-wrap id="T2" position="float">
<label>TABLE 2</label>
<caption>
<p>Descriptive statistics.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Variable</th>
<th align="left">LCO<sub>2</sub>
</th>
<th align="left">LGDP</th>
<th align="left">LFD</th>
<th align="left">LREC</th>
<th align="left">LHUC</th>
<th align="left">LAVA</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">Mean</td>
<td align="left">12.8467</td>
<td align="left">26.4590</td>
<td align="left">5.2189</td>
<td align="left">1.7604</td>
<td align="left">14.8432</td>
<td align="left">2.3194</td>
</tr>
<tr>
<td align="left">Median</td>
<td align="left">12.4529</td>
<td align="left">26.3216</td>
<td align="left">5.0957</td>
<td align="left">1.5421</td>
<td align="left">14.4539</td>
<td align="left">2.2185</td>
</tr>
<tr>
<td align="left">Maximum</td>
<td align="left">15.0236</td>
<td align="left">32.7165</td>
<td align="left">9.4143</td>
<td align="left">5.2762</td>
<td align="left">16.9450</td>
<td align="left">5.4291</td>
</tr>
<tr>
<td align="left">Minimum</td>
<td align="left">10.2758</td>
<td align="left">22.8349</td>
<td align="left">2.1569</td>
<td align="left">0.8356</td>
<td align="left">12.2588</td>
<td align="left">0.4369</td>
</tr>
<tr>
<td align="left">Standard deviation</td>
<td align="left">0.0826</td>
<td align="left">0.5716</td>
<td align="left">0.2917</td>
<td align="left">0.0615</td>
<td align="left">0.5342</td>
<td align="left">0.9083</td>
</tr>
<tr>
<td align="left">Skewness</td>
<td align="left">&#x2212;0.4395</td>
<td align="left">&#x2212;0.0754</td>
<td align="left">0.1812</td>
<td align="left">0.0459</td>
<td align="left">&#x2212;0.0641</td>
<td align="left">0.2086</td>
</tr>
<tr>
<td align="left">Kurtosis</td>
<td align="left">1.9236</td>
<td align="left">2.5742</td>
<td align="left">1.0519</td>
<td align="left">1.7326</td>
<td align="left">1.9216</td>
<td align="left">1.7425</td>
</tr>
<tr>
<td align="left">J&#x2013;B test</td>
<td align="left">2.5627</td>
<td align="left">4.8196</td>
<td align="left">4.1867</td>
<td align="left">3.6312</td>
<td align="left">9.2015</td>
<td align="left">4.1924</td>
</tr>
<tr>
<td align="left">Probability</td>
<td align="left">0.2390</td>
<td align="left">0.3415</td>
<td align="left">0.2715</td>
<td align="left">0.1783</td>
<td align="left">0.0964</td>
<td align="left">0.3290</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="s4-2">
<title>4.2 Correlation of the variables</title>
<p>
<xref ref-type="table" rid="T3">Table 3</xref> displays the pairwise correlation coefficients among the study variables. LCO<sub>2</sub> is positively correlated with LGDP and LFD, suggesting that economic and financial expansion have historically contributed to increased environmental degradation. In contrast, LCO<sub>2</sub> is negatively correlated with LREC, LHUC, and LAVA, indicating that improvements in clean energy use, education, and sustainable agriculture help mitigate emissions. Notably, LAVA shows the strongest negative correlation with LCO<sub>2</sub> (&#x2212;0.4327), reinforcing the role of green agricultural practices in environmental improvement. Additionally, a strong positive correlation exists between LREC and LHUC (0.6432), suggesting co-movement between renewable energy adoption and human capital development. Multicollinearity concerns appear minimal as no single correlation coefficient exceeds the critical threshold of 0.8, supporting the suitability of these variables for regression analysis.</p>
<table-wrap id="T3" position="float">
<label>TABLE 3</label>
<caption>
<p>Correlation analysis.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Variable</th>
<th align="left">LCO<sub>2</sub>
</th>
<th align="left">LGDP</th>
<th align="left">LFD</th>
<th align="left">LREC</th>
<th align="left">LHUC</th>
<th align="left">LAVA</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">LCO<sub>2</sub>
</td>
<td align="left">1.0000</td>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left">LGDP</td>
<td align="left">0.2157&#x2a;&#x2a;&#x2a;</td>
<td align="left">1.0000</td>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left">LFD</td>
<td align="left">0.4389&#x2a;&#x2a;&#x2a;</td>
<td align="left">0.1296&#x2a;&#x2a;&#x2a;</td>
<td align="left">1.0000</td>
<td align="left"/>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left">LREC</td>
<td align="left">&#x2212;0.3256&#x2a;&#x2a;</td>
<td align="left">&#x2212;0.4752&#x2a;&#x2a;</td>
<td align="left">0.4067&#x2a;&#x2a;&#x2a;</td>
<td align="left">1.0000</td>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left">LHUC</td>
<td align="left">&#x2212;0.0912&#x2a;&#x2a;&#x2a;</td>
<td align="left">0.2146&#x2a;&#x2a;</td>
<td align="left">0.0879&#x2a;&#x2a;</td>
<td align="left">0.6432&#x2a;&#x2a;&#x2a;</td>
<td align="left">1.0000</td>
<td align="left"/>
</tr>
<tr>
<td align="left">LAVA</td>
<td align="left">&#x2212;0.4327&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;0.6025&#x2a;&#x2a;&#x2a;</td>
<td align="left">0.6332&#x2a;&#x2a;</td>
<td align="left">0.2156&#x2a;&#x2a;&#x2a;</td>
<td align="left">0.5246&#x2a;&#x2a;&#x2a;</td>
<td align="left">1.0000</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>Note: &#x2a;&#x2a;, &#x2a;&#x2a;&#x2a; Significant at 5% and 1%.</p>
</fn>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="s4-3">
<title>4.3 Results of unit root tests</title>
<p>Unit root tests are essential in time-series econometrics to determine the stationarity of variables, which directly influences the choice of estimation technique. Confirming the integration order is a prerequisite for applying cointegration methods like DOLS as including non-stationary variables without cointegration can lead to spurious regression results. <xref ref-type="table" rid="T4">Table 4</xref> presents the outcomes of three unit root tests&#x2014;ADF, PP, and DF-GLS&#x2014;applied to the log-transformed variables. The results uniformly indicate that all variables are non-stationary in their levels but become stationary after first differencing, confirming that they are integrated of order one, I(1). For instance, LCO<sub>2</sub> and LREC are not stationary at levels in the ADF and DF-GLS tests but both attain significance at the 1% level upon first differencing. Similarly, LGDP and LAVA also fail to reject the null of a unit root at levels but show strong stationarity after differencing across all three tests. LFD and LHUC follow the same pattern, with significant test statistics in first-differenced form. The consistency of the findings across all tests confirms that the series are suitable for cointegration analysis, supporting the application of the DOLS estimator in the empirical framework.</p>
<table-wrap id="T4" position="float">
<label>TABLE 4</label>
<caption>
<p>Outcomes of unit root tests.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th colspan="2" align="left">Logarithmic form of the variable</th>
<th align="left">LCO<sub>2</sub>
</th>
<th align="left">LGDP</th>
<th align="left">LFD</th>
<th align="left">LREC</th>
<th align="left">LHUC</th>
<th align="left">LAVA</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td rowspan="2" align="left">ADF</td>
<td align="left">Log levels</td>
<td align="left">0.4367&#x2a;&#x2a;</td>
<td align="left">&#x2212;0.6921</td>
<td align="left">&#x2212;0.5422</td>
<td align="left">&#x2212;1.9785&#x2a;&#x2a;</td>
<td align="left">&#x2212;1.1364</td>
<td align="left">&#x2212;1.3925</td>
</tr>
<tr>
<td align="left">Log first difference</td>
<td align="left">&#x2212;4.6431&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;3.8653&#x2a;&#x2a;</td>
<td align="left">&#x2212;6.2749&#x2a;&#x2a;</td>
<td align="left">&#x2212;2.7512&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;5.3492&#x2a;&#x2a;</td>
<td align="left">&#x2212;5.8516&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td rowspan="2" align="left">DF-GL S</td>
<td align="left">Log levels</td>
<td align="left">0.7253</td>
<td align="left">&#x2212;0.4268</td>
<td align="left">&#x2212;0.2285</td>
<td align="left">&#x2212;1.0956</td>
<td align="left">&#x2212;0.7905</td>
<td align="left">&#x2212;0.4512</td>
</tr>
<tr>
<td align="left">Log first difference</td>
<td align="left">&#x2212;4.6436&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;2.8562&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;6.9051&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;3.2349&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;6.1286&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;5.4325&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td rowspan="2" align="left">PP</td>
<td align="left">Log levels</td>
<td align="left">0.4165&#x2a;&#x2a;</td>
<td align="left">0.1259</td>
<td align="left">&#x2212;0.0594</td>
<td align="left">0.4129&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;1.3025</td>
<td align="left">&#x2212;1.9018</td>
</tr>
<tr>
<td align="left">Log first difference</td>
<td align="left">&#x2212;4.1290&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;3.7862&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;8.1536&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;6.8205&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;6.6451&#x2a;&#x2a;&#x2a;</td>
<td align="left">&#x2212;5.9463&#x2a;&#x2a;&#x2a;</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>&#x2a;&#x2a;&#x2a;, &#x2a;&#x2a;, and &#x2a; denote significance at the 1%, 5%, and 10% levels, respectively.</p>
</fn>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="s4-4">
<title>4.4 Panel cointegration test</title>
<p>To confirm the existence of a long-run equilibrium relationship among the model variables, panel cointegration tests were conducted using both Pedroni and Kao methodologies. The Pedroni test, following <xref ref-type="bibr" rid="B32">Li and Umair (2023b)</xref>, allows for heterogeneous intercepts and slope coefficients across cross-sections while accounting for potential cross-sectional dependence. This test evaluates both within-dimension (panel statistics) and between-dimension (group statistics) alternatives. Additionally, the <xref ref-type="bibr" rid="B74">Kao (1999)</xref> test, which is based on a pooled regression with fixed effects, was used to validate the homogeneity of cointegrating vectors. These tests are particularly useful in small-sample contexts and provide a robust framework for assessing cointegration in panel datasets.</p>
<p>
<xref ref-type="table" rid="T5">Table 5</xref> presents the results of the panel cointegration tests. Among the Pedroni test statistics, four out of seven reject the null hypothesis of no cointegration at conventional significance levels. In particular, the panel PP-statistic (p &#x3d; 0.0007), panel ADF-statistic (p &#x3d; 0.0271), group PP-statistic (p &#x3d; 0.0000), and group ADF-statistic (p &#x3d; 0.0000) offer strong evidence in favor of a cointegrating relationship. Although the panel v-Statistic and rho-statistics fail to reject the null, these are generally considered less reliable in small samples than the ADF-based tests. Supporting these findings, the Kao test further confirms cointegration with an ADF statistic of 1.54321 and a <italic>p</italic>-value of 0.0286, which allows us to reject the null hypothesis of no cointegration at a 5% significance level. The low residual and HAC variance values further support the model&#x2019;s stability. Taken together, the results of both Pedroni and Kao tests provide robust evidence that a long-run cointegrating relationship exists among carbon emissions, GDP, financial development, renewable energy, human capital, and agricultural value-added. This validates the suitability of using fully modified OLS or DOLS estimators in subsequent estimation procedures.</p>
<table-wrap id="T5" position="float">
<label>TABLE 5</label>
<caption>
<p>Cointegration test results.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left"/>
<th align="left">Statistics</th>
<th align="left">Probability</th>
<th align="left">Statistics</th>
<th align="left">Probability</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td colspan="5" align="left">Alternative hypothesis: common AR coefficients (within-dimension)</td>
</tr>
<tr>
<td align="left">Panel v-statistic</td>
<td align="left">&#x2212;2.3792</td>
<td align="left">0.9216</td>
<td align="left">&#x2212;5.3209</td>
<td align="left">1.0000</td>
</tr>
<tr>
<td align="left">Panel rho-statistic</td>
<td align="left">7.5143</td>
<td align="left">1.0000</td>
<td align="left">8.2156</td>
<td align="left">1.0000</td>
</tr>
<tr>
<td align="left">Panel PP-statistic</td>
<td align="left">&#x2212;3.7659</td>
<td align="left">0.0007</td>
<td align="left">&#x2212;9.8735</td>
<td align="left">0.0000</td>
</tr>
<tr>
<td align="left">Panel ADF-statistic</td>
<td align="left">&#x2212;1.2045</td>
<td align="left">0.0271</td>
<td align="left">&#x2212;3.1905</td>
<td align="left">0.0005</td>
</tr>
<tr>
<td align="left"/>
<td colspan="2" align="left">t-stat</td>
<td colspan="2" align="left">Probability</td>
</tr>
<tr>
<td colspan="5" align="left">Alternative hypothesis: individual AR coefficient (between-dimension)</td>
</tr>
<tr>
<td align="left">Group rho-statistic</td>
<td colspan="2" align="left">9.5421</td>
<td colspan="2" align="left">1.0000</td>
</tr>
<tr>
<td align="left">Group PP-statistic</td>
<td colspan="2" align="left">&#x2212;14.9023</td>
<td colspan="2" align="left">0.0000</td>
</tr>
<tr>
<td align="left">Group ADF-statistic</td>
<td colspan="2" align="left">&#x2212;6.1905</td>
<td colspan="2" align="left">0.0000</td>
</tr>
<tr>
<td align="left"/>
<td colspan="2" align="left">t-Stat</td>
<td colspan="2" align="left">Prob.</td>
</tr>
<tr>
<td colspan="5" align="left">Kao cointegration test</td>
</tr>
<tr>
<td align="left">ADF</td>
<td colspan="2" align="left">1.54321</td>
<td colspan="2" align="left">0.0286</td>
</tr>
<tr>
<td align="left">Residual variance</td>
<td colspan="2" align="left">0.000523</td>
<td colspan="2" align="left"/>
</tr>
<tr>
<td align="left">HAC variance</td>
<td colspan="2" align="left">0.001905</td>
<td colspan="2" align="left"/>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>Note: &#x2a;&#x2a;&#x2a;, &#x2a;&#x2a;, and &#x2a; denote significance at the 1%, 5%, and 10% levels, respectively.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>The empirical findings of this study align with and diverge from various strands of the existing literature, offering both confirmatory and novel insights. The positive and statistically significant relationship between economic growth (LGDP) and CO<sub>2</sub> emissions is consistent with earlier studies such as <xref ref-type="bibr" rid="B9">Cai et al. (2025)</xref> and <xref ref-type="bibr" rid="B68">Yuan et al. (2023)</xref>, who reported that, in emerging economies like China, growth-led development often intensifies environmental degradation during industrialization phases. Similarly, the observed positive association between LFD and CO<sub>2</sub> emissions supports the findings of <xref ref-type="bibr" rid="B37">Lu et al. (2024)</xref>, who argued that financial expansion facilitates industrial activities and energy consumption, potentially leading to greater environmental stress in the absence of green regulatory frameworks.</p>
<p>In contrast, the negative and statistically significant impact of LREC on CO<sub>2</sub> emissions corroborates the results of <xref ref-type="bibr" rid="B50">Ul-Haq et al. (2023)</xref> and <xref ref-type="bibr" rid="B53">Umair et al. (2023)</xref>, who highlighted the critical role of renewable sources in reducing carbon intensity. This reinforces the policy relevance of China&#x2019;s commitment to green energy transitions under its decarbonization roadmap. Additionally, the negative influence of LHUC on emissions is in line with the findings of <xref ref-type="bibr" rid="B52">Umair and Yousuf (2023)</xref>, who emphasized that education and skill development foster environmental awareness and cleaner technologies. Furthermore, the significant and inverse relationship between LAVA and CO<sub>2</sub> emissions aligns with recent studies of <xref ref-type="bibr" rid="B66">Yu et al. (2023)</xref>, who recognized the environmental benefits of sustainable agricultural practices and carbon sequestration in land use.</p>
</sec>
<sec id="s4-5">
<title>4.5 DOLS outcomes</title>
<p>The results from the DOLS estimation, summarized in <xref ref-type="table" rid="T6">Table 6</xref>, provide compelling evidence of long-run relationships between CO<sub>2</sub> emissions and key development indicators in China. The coefficient of economic growth (LGDP) is positive and statistically significant at a 1% level, indicating that a 1% increase in GDP leads to approximately a 0.45% increase in CO<sub>2</sub> emissions. This finding reaffirms the classical environmental Kuznets hypothesis in its early phase, suggesting that growth in China is still largely driven by carbon-intensive sectors, with environmental costs accompanying economic expansion.</p>
<table-wrap id="T6" position="float">
<label>TABLE 6</label>
<caption>
<p>Outcomes of DOLS: dependent-variable LCO<sub>2</sub>.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Variable</th>
<th align="left">Coefficient</th>
<th align="left">Standard error</th>
<th align="left">t-statistics</th>
<th align="left">
<italic>p</italic>-value</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">LGDP</td>
<td align="left">0.4523&#x2a;&#x2a;&#x2a;</td>
<td align="left">0.0769</td>
<td align="left">5.8761</td>
<td align="left">0.0000</td>
</tr>
<tr>
<td align="left">LFD</td>
<td align="left">1.9874&#x2a;&#x2a;</td>
<td align="left">0.1591</td>
<td align="left">12.4905</td>
<td align="left">0.0324</td>
</tr>
<tr>
<td align="left">LREC</td>
<td align="left">&#x2212;0.7221&#x2a;&#x2a;&#x2a;</td>
<td align="left">0.1629</td>
<td align="left">&#x2212;4.4327</td>
<td align="left">0.0005</td>
</tr>
<tr>
<td align="left">LHUC</td>
<td align="left">&#x2212;0.0865&#x2a;&#x2a;</td>
<td align="left">0.0113</td>
<td align="left">&#x2212;7.6209</td>
<td align="left">0.0552</td>
</tr>
<tr>
<td align="left">LAVA</td>
<td align="left">&#x2212;0.2190&#x2a;&#x2a;&#x2a;</td>
<td align="left">0.1005</td>
<td align="left">&#x2212;2.1783</td>
<td align="left">0.0009</td>
</tr>
<tr>
<td align="left">Constant</td>
<td align="left">2.0985&#x2a;&#x2a;</td>
<td align="left">0.4976</td>
<td align="left">4.2168</td>
<td align="left">0.0714</td>
</tr>
<tr>
<td align="left">R squared</td>
<td colspan="2" align="left">0.9954</td>
<td align="left">Long run variance</td>
<td align="left">232.765</td>
</tr>
<tr>
<td align="left">Adjusted R squared</td>
<td colspan="2" align="left">0.9932</td>
<td align="left">F-statistic</td>
<td align="left">1,024.54</td>
</tr>
<tr>
<td align="left">Standard error of the estimate</td>
<td colspan="2" align="left">0.0347</td>
<td align="left">Probability (F-statistic)</td>
<td align="left">0.0000</td>
</tr>
<tr>
<td align="left">Root mean square error (RMSE)</td>
<td colspan="2" align="left">0.0409</td>
<td align="left"/>
<td align="left"/>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>&#x2a;&#x2a;&#x2a; denotes significance at the 10% level, whereas significance at 1% and 5% levels is represented by &#x2a;&#x2a; and &#x2a;, respectively.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>In contrast, LFD is also positively associated with CO<sub>2</sub> emissions, with a coefficient of 1.99, significant at a 5% level. This implies that, although financial growth facilitates capital formation and industrial activity, it may inadvertently contribute to environmental degradation in the absence of strong green finance regulations. LREC, however, exhibits a significant negative impact on emissions, with a coefficient of &#x2212;0.72 at a 1% level. This clearly highlights the environmental benefits of clean energy deployment, supporting policy directions that prioritize the decarbonization of China&#x2019;s energy mix.</p>
<p>LHUC also shows a negative and statistically significant coefficient (&#x2212;0.0865), indicating that investments in education and workforce skills are associated with improved environmental outcomes, potentially by fostering innovation, awareness, and adoption of low-carbon technologies. Additionally, LAVA contributes to emission reductions, with a coefficient of &#x2212;0.2190, significant at a 1% level. This suggests that improvements in agricultural productivity&#x2014;likely involving sustainable land use and carbon-absorbing practices&#x2014;can serve as a meaningful lever in mitigating environmental harm.</p>
<p>The overall model fit is exceptionally high, with an R<sup>2</sup> of 0.9954 and an adjusted R<sup>2</sup> of 0.9932, indicating that over 99% of the variation in CO<sub>2</sub> emissions is explained by the selected explanatory variables. The F-statistic is also significant at a 1% level (p &#x3d; 0.0000), underscoring the joint significance of the model. Collectively, these results confirm that although economic and financial expansion exert upward pressure on emissions, improvements in renewable energy adoption, human capital, and sustainable agriculture play a vital role in offsetting these negative effects and steering China toward a more environmentally sustainable development trajectory.</p>
<p>The empirical results derived from the DOLS model both confirm and challenge the existing literature, offering a nuanced understanding of China&#x2019;s sustainable development dynamics. The positive and statistically significant relationship between economic growth and CO<sub>2</sub> emissions aligns with the early-stage EKC hypothesis and supports prior findings by <xref ref-type="bibr" rid="B62">Xu et al. (2024)</xref>, who observed that, in rapidly industrializing economies like China, growth initially coincides with environmental degradation due to the dominance of fossil fuel consumption and carbon-intensive industries. This trend also mirrors the conclusions of <xref ref-type="bibr" rid="B71">Zheng et al. (2025)</xref>, who reported that economic expansion in developing economies tends to accelerate emissions unless accompanied by structural reforms and green investments.</p>
<p>Interestingly, the study finds that financial development significantly increases emissions, a result that diverges from the argument made by <xref ref-type="bibr" rid="B65">Yiming et al. (2024)</xref>, who proposed that a more mature financial sector can lead to better environmental quality through improved resource allocation and access to green technologies. However, our findings are consistent with those of <xref ref-type="bibr" rid="B12">Cui et al. (2023)</xref>, who cautioned that, in emerging markets, financial deepening may initially fund industrial and infrastructure growth with limited environmental oversight, thus exacerbating pollution. This result suggests that without proper regulatory alignment, financial development may not inherently support environmental goals.</p>
<p>In contrast, the strong negative effect of renewable energy consumption on CO<sub>2</sub> emissions reaffirms the conclusions of <xref ref-type="bibr" rid="B57">Wu et al. (2023)</xref> and <xref ref-type="bibr" rid="B14">Dilanchiev et al. (2024b)</xref>, both of whom demonstrated that renewable energy significantly mitigates environmental degradation, particularly when deployed at scale. The significance of human capital in reducing emissions is also consistent with <xref ref-type="bibr" rid="B45">Shi and Umair (2024)</xref>, who highlighted the role of education and technological knowledge in promoting cleaner production methods and environmental stewardship. This result suggests that investment in human capital may have spillover effects on environmental quality through innovation and efficiency.</p>
<p>Furthermore, the negative impact of agricultural value-added on emissions supports the findings of <xref ref-type="bibr" rid="B27">Li and Umair (2023a)</xref>, who noted that modernized and sustainable agricultural practices can enhance carbon sequestration and reduce emissions per unit of output. This is particularly relevant in China, where agricultural reforms and afforestation policies have increasingly emphasized environmental conservation.</p>
<p>
<xref ref-type="table" rid="T7">Table 7</xref> presents the results of FMOLS and CCR estimations, both of which are used to validate the robustness of the long-run relationships among the model variables. The FMOLS results indicate that economic growth (LGDP) has a strong and statistically significant positive effect on CO<sub>2</sub> emissions, with a coefficient of 0.7922, which is higher than that of the DOLS estimates, reinforcing the notion that China&#x2019;s growth trajectory remains carbon-intensive. LFD also shows a positive and significant impact (0.1536), albeit smaller in magnitude, suggesting that financial expansion contributes to increased emissions, possibly through energy-demanding investments. LREC maintains a negative and significant coefficient (&#x2212;0.8597), implying that clean energy deployment significantly reduces environmental degradation. LHUC and LAVA also exert negative and statistically significant effects on emissions, further supporting the role of education and sustainable land use in environmental performance.</p>
<table-wrap id="T7" position="float">
<label>TABLE 7</label>
<caption>
<p>Results of FMOLS and CCR tests: dependent variable LCO<sub>2</sub>.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Variable</th>
<th align="left">Coefficient</th>
<th align="left">Standard error</th>
<th align="left">t-statistics</th>
<th align="left">Coefficient</th>
<th align="left">Standard error</th>
<th align="left">t-statistics</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">LGDP</td>
<td align="left">0.7922&#x2a;&#x2a;&#x2a;</td>
<td align="left">0.0854</td>
<td align="left">9.2732</td>
<td align="left">0.3517&#x2a;&#x2a;</td>
<td align="left">0.0461</td>
<td align="left">7.6235</td>
</tr>
<tr>
<td align="left">LFD</td>
<td align="left">0.1536&#x2a;&#x2a;</td>
<td align="left">0.0368</td>
<td align="left">4.1654</td>
<td align="left">0.4965&#x2a;&#x2a;&#x2a;</td>
<td align="left">0.3913</td>
<td align="left">1.2687</td>
</tr>
<tr>
<td align="left">LREC</td>
<td align="left">&#x2212;0.8597&#x2a;&#x2a;</td>
<td align="left">0.1237</td>
<td align="left">&#x2212;6.9487</td>
<td align="left">&#x2212;0.0289&#x2a;&#x2a;&#x2a;</td>
<td align="left">0.0046</td>
<td align="left">&#x2212;6.2761</td>
</tr>
<tr>
<td align="left">LHUC</td>
<td align="left">&#x2212;0.6214&#x2a;&#x2a;&#x2a;</td>
<td align="left">0.4911</td>
<td align="left">&#x2212;1.2653</td>
<td align="left">&#x2212;0.5623&#x2a;&#x2a;&#x2a;</td>
<td align="left">0.1042</td>
<td align="left">&#x2212;5.3942</td>
</tr>
<tr>
<td align="left">LAVA</td>
<td align="left">&#x2212;0.2903&#x2a;&#x2a;&#x2a;</td>
<td align="left">0.0548</td>
<td align="left">&#x2212;5.2971</td>
<td align="left">&#x2212;0.1694&#x2a;&#x2a;&#x2a;</td>
<td align="left">0.0264</td>
<td align="left">&#x2212;6.4095</td>
</tr>
<tr>
<td align="left">Constant</td>
<td align="left">5.1651&#x2a;&#x2a;&#x2a;</td>
<td align="left">0.7113</td>
<td align="left">7.2613</td>
<td align="left">3.1522&#x2a;&#x2a;</td>
<td align="left">0.4634</td>
<td align="left">6.8014</td>
</tr>
<tr>
<td align="left">R squared</td>
<td colspan="3" align="left">0.9935</td>
<td colspan="3" align="left">0.9945</td>
</tr>
<tr>
<td align="left">Adjusted R squared</td>
<td colspan="3" align="left">0.9930</td>
<td colspan="3" align="left">0.9942</td>
</tr>
<tr>
<td align="left">Standard error of the estimate</td>
<td colspan="3" align="left">0.04269</td>
<td colspan="3" align="left">0.0447215</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>&#x2a;&#x2a;&#x2a; denotes significance at the 10% level, whereas significance at 1% and 5% levels is represented by &#x2a;&#x2a; and &#x2a;, respectively.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>Under the CCR model, all variables remain statistically significant, and the signs of the coefficients are consistent with FMOLS. However, the magnitudes differ slightly: LGDP&#x2019;s coefficient is smaller (0.3517), suggesting a more moderate influence of growth when controlling for endogeneity and serial correlation. LFD increases in effect size under CCR (0.4965), while LREC&#x2019;s negative coefficient remains significant, albeit with a smaller magnitude (&#x2212;0.0289). The consistent significance and direction of coefficients across both models underscore the robustness of the core findings. Both FMOLS and CCR models report high R-squared values (0.9935 and 0.9945, respectively), confirming a strong explanatory power of the regressors. These outcomes reinforce the validity of the long-run associations established in the DOLS results and provide strong empirical support for policy interventions aimed at decarbonizing growth through financial, educational, and energy system reforms.</p>
</sec>
<sec id="s4-6">
<title>4.6 Diagnostic inspection</title>
<p>The diagnostic inspection presented in <xref ref-type="table" rid="T8">Table 8</xref> validates the reliability and statistical soundness of the estimated model. First, the Jarque&#x2013;Bera test for normality yields a test statistic of 1.15794, with a <italic>p</italic>-value of 0.5512, indicating that the residuals are normally distributed and do not deviate from the Gaussian assumption&#x2014;an essential prerequisite for inference in linear regression models. Second, the Lagrange multiplier (LM) test for serial correlation shows a <italic>p</italic>-value of 0.4956, which fails to reject the null hypothesis of no autocorrelation. This result ensures that the error terms are not systematically related over time, affirming the temporal independence required for consistent estimators.</p>
<table-wrap id="T8" position="float">
<label>TABLE 8</label>
<caption>
<p>Results of diagnostic tests.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Diagnostic test</th>
<th align="left">Coefficient</th>
<th align="left">
<italic>p</italic>-value</th>
<th align="left">Decision</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">Jarque&#x2013;Bera test</td>
<td align="left">1.15794</td>
<td align="left">0.5512</td>
<td align="left">Residuals are normally distributed</td>
</tr>
<tr>
<td align="left">Lagrange multiplier test</td>
<td align="left">1.0225</td>
<td align="left">0.4956</td>
<td align="left">No serial correlation exits</td>
</tr>
<tr>
<td align="left">Breusch&#x2013;Pagan&#x2013;Godfrey test</td>
<td align="left">0.7947</td>
<td align="left">0.6214</td>
<td align="left">No heteroscedasticity exists</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>Additionally, the Breusch&#x2013;Pagan&#x2013;Godfrey test for heteroscedasticity reveals a <italic>p</italic>-value of 0.6214, confirming that the residuals have constant variance over time and across observations. This homoscedasticity assumption is fundamental for the validity of standard errors, confidence intervals, and hypothesis testing. Beyond these statistical tests, the structural stability of the model was further assessed using the CUSUM and CUSUM of squares (CUSUMQ) tests. The plots from both procedures confirm that the cumulative sum of recursive residuals and their squared values remain within the 5% confidence bounds, implying no structural break or instability in the model throughout the estimation period. Collectively, these results provide robust evidence that the model is well specified, the estimators are efficient, and the inferences drawn from the regression results are statistically reliable and valid for policy analysis.</p>
</sec>
<sec id="s4-7">
<title>4.7 Pairwise Granger causality test outcomes</title>
<p>The Granger causality test results offer critical insights into the dynamic interrelationships among the key variables affecting (<xref ref-type="fig" rid="F1">Figure 1</xref>) environmental performance (CO<sub>2</sub> emissions) in China. As shown in <xref ref-type="table" rid="T9">Table 9</xref>, a series of statistically significant F-statistics allows us to reject the null hypothesis of no causality in several key pairwise cases. Notably, LGDP is found to Granger-cause CO<sub>2</sub> emissions, confirming the unidirectional causal pathway from economic expansion to environmental degradation. Similarly, LFD also Granger-causes CO<sub>2</sub> emissions, indicating that financial sector expansion may contribute to environmental pressures through increased industrial and energy activities. However, no causal relationship is observed between LREC and CO<sub>2</sub> emissions, suggesting that the transition toward clean energy has not yet reached a critical mass sufficient to exert a detectable impact on emission reduction.</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>CUSUM and square of CUSUM stability test.</p>
</caption>
<graphic xlink:href="fenvs-13-1594858-g001.tif">
<alt-text content-type="machine-generated">Top graph: CUSUM Stability Test shows the CUSUM value in blue, remaining within the red 5% significance bounds across 50 observations. Bottom graph: CUSUM of Squares Stability Test shows a similar pattern with CUSUMSQ values in purple.</alt-text>
</graphic>
</fig>
<table-wrap id="T9" position="float">
<label>TABLE 9</label>
<caption>
<p>Outcomes of the paired Granger causality test.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Null hypothesis</th>
<th align="left">F-statistic</th>
<th align="left">Decision on null hypothesis</th>
<th align="left">Causality direction</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">LGDP does not Granger-cause LCO<sub>2</sub>
</td>
<td align="left">2.7265&#x2a;&#x2a;&#x2a;</td>
<td align="left">Reject</td>
<td rowspan="2" align="left">LGDP &#x2192; LCO<sub>2</sub>
</td>
</tr>
<tr>
<td align="left">LCO<sub>2</sub> does not Granger-cause LGDP</td>
<td align="left">1.3958</td>
<td align="left">Accept</td>
</tr>
<tr>
<td align="left">LFD does not Granger-cause LCO<sub>2</sub>
</td>
<td align="left">3.2765&#x2a;&#x2a;&#x2a;</td>
<td align="left">Reject</td>
<td rowspan="2" align="left">LFD &#x2192; LCO<sub>2</sub>
</td>
</tr>
<tr>
<td align="left">LCO<sub>2</sub> does not Granger-cause LFD</td>
<td align="left">0.7113</td>
<td align="left">Accept</td>
</tr>
<tr>
<td align="left">LREC does not Granger-cause LCO<sub>2</sub>
</td>
<td align="left">2.6541</td>
<td align="left">Accept</td>
<td rowspan="2" align="left">LREC &#x2260; LCO<sub>2</sub>
</td>
</tr>
<tr>
<td align="left">LCO<sub>2</sub> does not Granger-cause LREC</td>
<td align="left">2.4092</td>
<td align="left">Accept</td>
</tr>
<tr>
<td align="left">LHUC does not Granger-cause LCO<sub>2</sub>
</td>
<td align="left">4.1564&#x2a;&#x2a;&#x2a;</td>
<td align="left">Reject</td>
<td rowspan="2" align="left">LHUC &#x2194; LCO<sub>2</sub>
</td>
</tr>
<tr>
<td align="left">LCO<sub>2</sub> does not Granger-cause LHUC</td>
<td align="left">0.7263&#x2a;&#x2a;</td>
<td align="left">Reject</td>
</tr>
<tr>
<td align="left">LAVA does not Granger-cause LCO<sub>2</sub>
</td>
<td align="left">3.2433</td>
<td align="left">Accept</td>
<td rowspan="2" align="left">LAVA &#x2260; LCO<sub>2</sub>
</td>
</tr>
<tr>
<td align="left">LCO<sub>2</sub> does not Granger-cause LAVA</td>
<td align="left">2.9486</td>
<td align="left">Accept</td>
</tr>
<tr>
<td align="left">LFD does not Granger-cause LGDP</td>
<td align="left">4.1652&#x2a;&#x2a;&#x2a;</td>
<td align="left">Reject</td>
<td rowspan="2" align="left">LFD &#x2192; LGDP</td>
</tr>
<tr>
<td align="left">LGDP does not Granger-cause LFD</td>
<td align="left">5.1209</td>
<td align="left">Accept</td>
</tr>
<tr>
<td align="left">LREC does not Granger-cause LGDP</td>
<td align="left">7.2735</td>
<td align="left">Accept</td>
<td rowspan="2" align="left">LREC &#x2190; LGDP</td>
</tr>
<tr>
<td align="left">LGDP does not Granger-cause LREC</td>
<td align="left">0.2376&#x2a;&#x2a;</td>
<td align="left">Reject</td>
</tr>
<tr>
<td align="left">LHUC does not Granger-cause LGDP</td>
<td align="left">2.6124&#x2a;&#x2a;&#x2a;</td>
<td align="left">Reject</td>
<td rowspan="2" align="left">LHUC &#x2194; LGDP</td>
</tr>
<tr>
<td align="left">LGDP does not Granger-cause LHUC</td>
<td align="left">5.2397&#x2a;&#x2a;</td>
<td align="left">Reject</td>
</tr>
<tr>
<td align="left">LAVA does not Granger-cause LGDP</td>
<td align="left">3.2039</td>
<td align="left">Accept</td>
<td rowspan="2" align="left">LAVA &#x2190; LGDP</td>
</tr>
<tr>
<td align="left">LGDP does not Granger-cause LAVA</td>
<td align="left">5.2378&#x2a;</td>
<td align="left">Reject</td>
</tr>
<tr>
<td align="left">LREC does not Granger-cause LFD</td>
<td align="left">1.1635</td>
<td align="left">Accept</td>
<td rowspan="2" align="left">LREC &#x2190; LFD</td>
</tr>
<tr>
<td align="left">LFD does not Granger-cause LREC</td>
<td align="left">2.2736&#x2a;</td>
<td align="left">Reject</td>
</tr>
<tr>
<td align="left">LHUC does not Granger-cause LFD</td>
<td align="left">6.2879</td>
<td align="left">Accept</td>
<td rowspan="2" align="left">LHUC &#x2260; LFD</td>
</tr>
<tr>
<td align="left">LFD does not Granger-cause LHUC</td>
<td align="left">5.1544</td>
<td align="left">Accept</td>
</tr>
<tr>
<td align="left">LAVA does not Granger-cause LFD</td>
<td align="left">5.7159&#x2a;&#x2a;</td>
<td align="left">Reject</td>
<td rowspan="2" align="left">LAVA &#x2192; LFD</td>
</tr>
<tr>
<td align="left">LFD does not Granger-cause LAVA</td>
<td align="left">7.7245</td>
<td align="left">Accept</td>
</tr>
<tr>
<td align="left">LHUC does not Granger-cause LREC</td>
<td align="left">9.2408&#x2a;&#x2a;</td>
<td align="left">Reject</td>
<td rowspan="2" align="left">LHUC &#x2192; LAVA</td>
</tr>
<tr>
<td align="left">LREC does not Granger-cause LHUC</td>
<td align="left">5.7153</td>
<td align="left">Accept</td>
</tr>
<tr>
<td align="left">LAVA does not Granger-cause LREC</td>
<td align="left">1.1634</td>
<td align="left">Accept</td>
<td rowspan="2" align="left">LAVA &#x2190; LREC</td>
</tr>
<tr>
<td align="left">LREC does not Granger-cause LAVA</td>
<td align="left">5.2798&#x2a;&#x2a;&#x2a;</td>
<td align="left">Reject</td>
</tr>
<tr>
<td align="left">LAVA does not Granger-cause LHUC</td>
<td align="left">6.8271</td>
<td align="left">Accept</td>
<td rowspan="2" align="left">LAVA &#x2260; LHUC</td>
</tr>
<tr>
<td align="left">LHUC does not Granger-cause LAVA</td>
<td align="left">3.1954</td>
<td align="left">Accept</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>&#x2a;&#x2a;&#x2a;, &#x2a;&#x2a;, and &#x2a; represent significance at the 1%, 5%, and 10% levels, respectively.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>Furthermore, LHUC shows a bidirectional causal relationship with both CO<sub>2</sub> emissions and economic growth, highlighting the central role of human capital not only in fostering growth but also in influencing environmental quality. The finding that LHUC Granger-causes LCO<sub>2</sub> and <italic>vice versa</italic> suggests complex feedback loops potentially driven by education, awareness, and sustainable practices. Meanwhile, LAVA does not Granger-cause CO<sub>2</sub> emissions, indicating that its role in environmental sustainability might be mediated through other channels, such as carbon absorption, rather than direct emission linkage.</p>
<p>In terms of interactions among explanatory variables, the analysis reveals that financial development is Granger-caused by agricultural productivity, pointing to the role of rural and agricultural investment in driving financial inclusion and credit expansion. Renewable energy consumption is causally affected by financial development and agricultural value-added, further supporting the hypothesis that enabling sectors&#x2014;finance and agriculture&#x2014;are critical to renewable energy adoption. Finally, the bidirectional causality between human capital and economic growth reinforces the developmental paradigm, where skill accumulation and knowledge diffusion are mutually reinforcing with GDP growth. These results substantiate a web of interconnected dynamics that must be carefully considered in designing coherent, evidence-based policies for sustainable development in China.</p>
</sec>
<sec id="s4-8">
<title>4.8 Robustness checks</title>
<p>To ensure the robustness and reliability of the empirical findings, several diagnostic and validation tests were performed. First, multicollinearity among the explanatory variables was assessed using the variance inflation factor (VIF). As presented in <xref ref-type="table" rid="T10">Table 10</xref>, all VIF values were well below the conventional threshold of 5, indicating that multicollinearity does not pose a serious threat to the validity of the estimated coefficients. In particular, VIF values ranged from 1.88 for LREC to 3.22 for LFD, confirming that the explanatory variables are sufficiently independent and the model is well-specified for long-run estimation.</p>
<table-wrap id="T10" position="float">
<label>TABLE 10</label>
<caption>
<p>Robustness check: multicollinearity assessment.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Variable</th>
<th align="left">VIF</th>
<th align="left">Interpretation</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">LGDP (economic growth)</td>
<td align="right">2.45</td>
<td align="left">Acceptable (no multicollinearity)</td>
</tr>
<tr>
<td align="left">LFD (financial development)</td>
<td align="right">3.22</td>
<td align="left">Acceptable</td>
</tr>
<tr>
<td align="left">LREC (renewable energy)</td>
<td align="right">1.88</td>
<td align="left">Low multicollinearity</td>
</tr>
<tr>
<td align="left">LHUC (human capital)</td>
<td align="right">2.11</td>
<td align="left">Acceptable</td>
</tr>
<tr>
<td align="left">LAVA (agricultural value-added)</td>
<td align="right">2.97</td>
<td align="left">Acceptable</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>In addition to multicollinearity diagnostics, impulse response-like simulations were conducted to evaluate the stability and direction of environmental performance (EP) in response to shocks in each explanatory variable. <xref ref-type="fig" rid="F2">Figure 2</xref> illustrates the dynamic EP responses following one-standard deviation shocks in GDP, financial development, renewable energy, human capital, agricultural value-added, and CO<sub>2</sub> emissions. The plots demonstrate consistent and theoretically coherent patterns: economic and financial shocks positively influence EP over time, while a shock to CO<sub>2</sub> emissions causes a deterioration in EP, especially in the short term. These patterns provide strong validation of the long-run elasticity estimates obtained via the DOLS model.</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>Impulse response-like simulation of EP following one-standard deviation shocks to key variables in China.</p>
</caption>
<graphic xlink:href="fenvs-13-1594858-g002.tif">
<alt-text content-type="machine-generated">Six line graphs show environmental performance responses over time to different economic shocks. Each graph plots years on the x-axis against responses on the y-axis. The shocks include GDP, financial development, renewable energy, human capital, agriculture, and CO2 emissions. The graphs exhibit varying upward trends, with shaded areas representing confidence intervals.</alt-text>
</graphic>
</fig>
<p>To further reinforce these findings, <xref ref-type="fig" rid="F3">Figure 3</xref> presents the disaggregated response panels under varying shocks. These multi-panel visualizations confirm that the impact of each variable on environmental performance is not only statistically robust but also directionally consistent across the forecast horizon. Overall, the robustness checks&#x2014;combining multicollinearity diagnostics and dynamic response analysis&#x2014;support the credibility of the model and ensure that the policy implications derived from the empirical results are grounded in a well-tested econometric framework.</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>Impulse-like responses under different shocks.</p>
</caption>
<graphic xlink:href="fenvs-13-1594858-g003.tif">
<alt-text content-type="machine-generated">Six line graphs show EP responses to different economic shocks over six years, with confidence bands. Graphs include GDP, financial development, renewable energy, human capital, agriculture, and CO2 emissions shocks. All responses trend upward except the CO2 emissions shock, which trends downward.</alt-text>
</graphic>
</fig>
</sec>
</sec>
<sec sec-type="discussion" id="s5">
<title>5 Discussion</title>
<p>China&#x2019;s 30-year sprint from a largely agrarian economy to the world&#x2019;s manufacturing epicenter has produced unparalleled gains in income, infrastructure, and technological sophistication&#x2014;but it has also locked the country into a development path still dominated by fossil fuel combustion. Our econometric results place that reality in sharp relief: every one-percent expansion of real GDP is associated with roughly a half-percent increase in <italic>per capita</italic> CO<sub>2</sub> emissions in the baseline DOLS specification, and although the elasticity shrinks when we switch to the bias-corrected CCR estimator, it remains positive and highly significant. This pattern mirrors the early upward-sloping segment of the environmental Kuznets curve trajectory documented for other emerging giants such as India and Brazil (<xref ref-type="bibr" rid="B20">Huang et al., 2024</xref>). Yet there are two subtleties worth emphasizing. First, the magnitude of the growth-emission elasticity we obtain is already lower than the estimates reported for China&#x2019;s pre-WTO accession years, suggesting that the share of value-added from heavy industry has begun a slow but noticeable contraction. Second, the Granger causality tests uncover no reverse feedback from CO<sub>2</sub> to GDP, indicating that environmental degradation has not yet reached a level that materially impedes economic performance&#x2014;an important warning that conventional market forces alone are unlikely to internalize environmental costs in the near term.</p>
<p>The role of finance in this system is more complex. Classical theory posits that a deep, efficient financial sector should accelerate the diffusion of cleaner technologies by reducing capital cost barriers (<xref ref-type="bibr" rid="B15">Dilanchiev et al., 2024c</xref>). Our findings only partly support that view. Financial development is positively correlated with renewable energy uptake&#x2014;finance Granger-causes LREC&#x2014;highlighting that banks and capital markets channel funds to green projects. Nonetheless, the long-run elasticity of CO<sub>2</sub> with respect to LFD is unequivocally positive across all estimators, even after controlling for renewables, human capital, and agriculture. In other words, in China&#x2019;s case, credit deepening still appears to support more carbon-intensive activities&#x2014;real-estate construction, coal-fired power, and heavy manufacturing&#x2014;than low-carbon infrastructure. The fact that agricultural value-added Granger-causes finance further reveals that a considerable portion of rural credit is likely financing fertilizer-intensive cropping and mechanization, both of which cause embedded emissions unless accompanied by strict sustainability standards. These empirical signals reinforce recent field evidence indicating that, although China&#x2019;s green-bond market is the largest globally by issuance, it continues to feature projects with substantial &#x201c;transition&#x201d; rather than genuinely low-carbon characteristics (<xref ref-type="bibr" rid="B13">Dilanchiev et al., 2024a</xref>).</p>
<p>The mitigating levers identified in our model&#x2014;renewable energy, human capital, and sustainable agriculture&#x2014;are, therefore, critical counterweights to the carbon-intensive momentum of growth and finance. Renewable energy stands out: a one-percent increase in the log of clean-power consumption lowers CO<sub>2</sub> by approximately 0.7&#x2013;0.9 percent, depending on the estimator. The magnitude is larger than estimates for EU economies (<xref ref-type="bibr" rid="B59">Xinxin et al., 2024</xref>) and even outperforms the abatement elasticity reported for the United States during its shale gas transition (<xref ref-type="bibr" rid="B55">Wang et al., 2024a</xref>). The absence of any detected feedback from emissions to renewable uptake suggests that China&#x2019;s build-out remains policy-driven rather than price-driven; carbon-pricing coverage is still too narrow and shallow to change merit-order dispatch at scale. Accelerating the national emission trading-scheme rollout and increasing allowance prices would, therefore, complement supply-side capacity additions by injecting demand-side incentives.</p>
<p>Human capital exerts a subtler but equally robust influence. Our results show that higher educational attainment reduces emissions directly and also drives GDP growth, confirming the dual role of knowledge stocks in fostering innovation and increasing factor productivity (<xref ref-type="bibr" rid="B70">Zhang and Umair, 2023</xref>). Bidirectional causality between LHUC and both GDP and CO<sub>2</sub> supports the &#x201c;policy-augmented EKC&#x201d; literature, which argues that richer, better-educated societies adopt greener preferences and technologies at lower income thresholds than their less-educated counterparts (<xref ref-type="bibr" rid="B56">Wang et al., 2024b</xref>). For China, this implies that the push to upgrade vocational and tertiary curricula toward digital and green skills may yield compounded climate dividends by simultaneously boosting growth quality and reducing carbon intensity.</p>
<p>The agricultural sector, often overlooked in macro-level carbon studies of China, emerges here as a noteworthy sink. A one-percent increase in agricultural value-added is linked to a 0.22 percent decrease in emissions, even after controlling for the other variables. This negative elasticity is consistent with evidence that China&#x2019;s afforestation, soil conservation, and climate-smart agriculture programs sequester approximately one-billion tons of CO<sub>2</sub>-equivalent annually (<xref ref-type="bibr" rid="B1">Adal&#x131; et al., 2023</xref>; <xref ref-type="bibr" rid="B11">Chen et al., 2025</xref>). Granger-causality results also reveal that agriculture precedes financial development and renewable energy growth, hinting at rural bioenergy, distributed PV, and carbon-credit projects as emergent synergies. To capitalize on these linkages, policymakers could expand the piloting of agricultural green finance products&#x2014;such as sustainability-linked loans for low-tillage practices&#x2014;and align them with the national carbon-market offset protocols.</p>
<p>Diagnostic robustness reinforces confidence in these substantive insights. The normal distribution of residuals, the absence of heteroscedasticity or serial correlation, and CUSUM/CUSUMSQ paths remaining well within the 5% confidence bounds collectively indicate that the cointegrating relationships are stable over the 1996&#x2013;2022 sample period. High adjusted R<sup>2</sup> values&#x2014;above 0.99 across DOLS, FMOLS, and CCR&#x2014;might raise skepticism about overfitting, but the threefold estimator consistency and variance-inflation factors below 3 alleviate concerns about spurious precision. Moreover, impulse-response simulations corroborate the long-run elasticities: shocks to GDP and financial development lead to persistent increases in emissions, whereas shocks to renewable energy and human capital result in sustained reductions.</p>
</sec>
<sec id="s6">
<title>6 Conclusion and policy recommendations</title>
<p>This study empirically examined the dynamic and long-run relationships between financial development, renewable energy consumption, economic growth, human capital, agricultural productivity, and CO<sub>2</sub> emissions in China using annual time-series data spanning from 1996 to 2022. To uncover these relationships, a rigorous econometric methodology was applied, including unit root testing, cointegration analysis, and long-run estimation using the DOLS model, supported by FMOLS, CCR, and pairwise Granger causality tests to ensure robustness and directionality of causation. The results reveal that economic growth significantly increases CO<sub>2</sub> emissions in the long run, suggesting that the pursuit of higher GDP in China has contributed to environmental degradation during the study period. Financial development also has a positive and statistically significant impact on emissions, indicating that the expansion of credit and financial activities, although economically beneficial, has intensified environmental pressures, possibly by facilitating investments in carbon-intensive industries. In contrast, renewable energy consumption is found to significantly reduce CO<sub>2</sub> emissions, validating the role of clean energy in mitigating environmental harm and supporting China&#x2019;s transition to a low-carbon economy. Human capital was likewise negatively associated with CO<sub>2</sub> emissions, implying that improvements in education and labor quality contribute to environmental sustainability, likely through enhanced awareness, innovation, and energy efficiency. Furthermore, agricultural value-added was shown to reduce emissions, suggesting that sustainable agricultural practices and sectoral modernization can act as carbon sinks. The Granger causality results revealed several unidirectional and bidirectional relationships among the variables, confirming complex interactions&#x2014;particularly that GDP and financial development drive emissions, while renewable energy, human capital, and agriculture exhibit mitigating effects. Collectively, the findings underscore that while economic and financial growth have environmental costs, targeted investments in renewable energy, education, and sustainable agriculture are vital for achieving China&#x2019;s long-term climate goals and advancing environmentally responsible development.</p>
<sec id="s6-1">
<title>6.1 Policy recommendations</title>
<p>Based on the empirical findings of this study, several targeted policy recommendations emerge that align directly with the statistical relationships observed between key variables and CO<sub>2</sub> emissions in China over the 1996&#x2013;2022 period. First, since economic growth was found to significantly increase emissions, it is essential for Chinese policymakers to adopt a growth model that is decoupled from carbon-intensive industrialization. This includes redirecting public and private investments toward low-emission sectors and implementing stricter environmental regulations for high-polluting industries, particularly those that expand rapidly during periods of accelerated GDP growth.</p>
<p>Second, the study confirms that financial development contributes positively to CO<sub>2</sub> emissions, suggesting that the financial sector currently supports carbon-intensive economic activity. To address this, financial regulators should mandate the integration of environmental risk assessments in credit allocation and establish green finance taxonomies that differentiate and prioritize environmentally sustainable investments. The government should also expand incentives for banks and investment firms to fund renewable energy, energy efficiency, and low-carbon technologies through green bonds, concessional loans, and risk-mitigation instruments.</p>
<p>Third, the significant negative effect of renewable energy consumption on emissions highlights the importance of scaling up clean energy deployment. Policy should focus on accelerating the integration of renewables into the national grid by improving storage capacity, enhancing smart-grid infrastructure, and eliminating fossil fuel subsidies that disincentivize clean energy uptake. The empirical results further support the introduction of performance-based subsidies and feed-in tariffs tailored to wind, solar, and hydro sectors to maximize emission reduction potential.</p>
<p>Fourth, given the inverse relationship between human capital and CO<sub>2</sub> emissions, the government should increase investment in education, particularly in green skills, environmental engineering, and climate-focused research and development. Environmental literacy should be embedded into all educational levels to raise awareness and promote sustainable consumption behavior across society. This also implies incentivizing the private sector to engage in employee upskilling programs focused on energy-saving practices and green technologies.</p>
<p>Finally, the finding that agricultural value-added reduces emissions suggests that modernizing and decarbonizing the agricultural sector is an effective mitigation strategy. Policymakers should promote climate-smart agriculture by providing technical training, access to low-emission technologies, and financial support for practices that enhance carbon sequestration, such as organic farming, no-till cultivation, and efficient irrigation. Targeted rural investment programs and subsidies for low-carbon agricultural equipment can amplify these benefits while boosting productivity. These sector-specific recommendations, grounded in empirical evidence, are crucial for guiding China&#x2019;s path toward an environmentally sustainable and economically resilient future.</p>
</sec>
<sec id="s6-2">
<title>6.2 Limitations and future studies</title>
<p>Although this study provides valuable insights into the long-run dynamics between financial development, renewable energy consumption, and CO<sub>2</sub> emissions in China, it has several limitations. The analysis is confined to a single country and relies solely on macro-level time-series data, which may mask regional disparities and sector-specific variations. Additionally, the study focuses only on carbon dioxide emissions as the indicator of environmental degradation, omitting other important pollutants such as methane, nitrous oxide, and particulate matter. The econometric framework, although robust, does not account for structural breaks or nonlinear dynamics that may influence the variables over time. Future research should extend the analysis by incorporating a broader set of environmental indicators, applying panel data across multiple emerging economies, and exploring nonlinear models such as threshold regressions or asymmetric ARDL to better capture complex relationships. Moreover, disaggregated sectoral or provincial data could provide more granular policy guidance tailored to regional environmental and economic realities.</p>
</sec>
</sec>
</body>
<back>
<sec sec-type="data-availability" id="s7">
<title>Data availability statement</title>
<p>The raw data supporting the conclusions of this article will be made available by the authors, without undue reservation.</p>
</sec>
<sec sec-type="author-contributions" id="s8">
<title>Author contributions</title>
<p>YS: validation, project administration, data curation, visualization, formal analysis, conceptualization, funding acquisition, writing &#x2013; original draft, and resources. FZ: writing &#x2013; review and editing, methodology, writing &#x2013; original draft, conceptualization, project administration. LG: data curation, methodology, supervision, investigation, writing &#x2013; review and editing, validation, software, conceptualization, writing &#x2013; original draft, visualization, formal analysis, resources, funding acquisition, project administration.</p>
</sec>
<sec sec-type="funding-information" id="s9">
<title>Funding</title>
<p>The author(s) declare that no financial support was received for the research and/or publication of this article.</p>
</sec>
<ack>
<p>This work was supported by Suzhou University doctoral research launch project (2021BSK024).</p>
</ack>
<sec sec-type="COI-statement" id="s10">
<title>Conflict of interest</title>
<p>The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec sec-type="ai-statement" id="s11">
<title>Generative AI statement</title>
<p>The author(s) declare that no Generative AI was used in the creation of this manuscript.</p>
</sec>
<sec sec-type="disclaimer" id="s12">
<title>Publisher&#x2019;s note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
<sec sec-type="supplementary-material" id="s13">
<title>Supplementary material</title>
<p>The Supplementary Material for this article can be found online at: <ext-link ext-link-type="uri" xlink:href="https://www.frontiersin.org/articles/10.3389/fenvs.2025.1594858/full#supplementary-material">https://www.frontiersin.org/articles/10.3389/fenvs.2025.1594858/full&#x23;supplementary-material</ext-link>
</p>
<supplementary-material xlink:href="DataSheet1.csv" id="SM1" mimetype="application/csv" xmlns:xlink="http://www.w3.org/1999/xlink"/>
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