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<journal-id journal-id-type="publisher-id">Front. Sustain. Food Syst.</journal-id>
<journal-title>Frontiers in Sustainable Food Systems</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Sustain. Food Syst.</abbrev-journal-title>
<issn pub-type="epub">2571-581X</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
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<article-meta>
<article-id pub-id-type="doi">10.3389/fsufs.2024.1492262</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Sustainable Food Systems</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Unveiling the environmental impact of corn production in China: evidence from panel ARDL approach</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name><surname>Zhang</surname> <given-names>Ying</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
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<contrib contrib-type="author" corresp="yes">
<name><surname>Ahmad</surname> <given-names>Muhammad Irshad</given-names></name>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
<xref ref-type="aff" rid="aff3"><sup>3</sup></xref>
<xref ref-type="corresp" rid="c001"><sup>&#x0002A;</sup></xref>
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<contrib contrib-type="author">
<name><surname>Shen</surname> <given-names>Qiong</given-names></name>
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<contrib contrib-type="author">
<name><surname>Boota</surname> <given-names>Muhammad Waseem</given-names></name>
<xref ref-type="aff" rid="aff4"><sup>4</sup></xref>
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<contrib contrib-type="author">
<name><surname>Zhao</surname> <given-names>Cuiping</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
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<contrib contrib-type="author">
<name><surname>Ma</surname> <given-names>Hengyun</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
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<aff id="aff1"><sup>1</sup><institution>College of Economics and Management, Henan Agricultural University</institution>, <addr-line>Zhengzhou</addr-line>, <country>China</country></aff>
<aff id="aff2"><sup>2</sup><institution>School of Politics and Public Administration, Zhengzhou University</institution>, <addr-line>Zhengzhou</addr-line>, <country>China</country></aff>
<aff id="aff3"><sup>3</sup><institution>Business School, Zhengzhou University</institution>, <addr-line>Zhengzhou</addr-line>, <country>China</country></aff>
<aff id="aff4"><sup>4</sup><institution>College of Geography and Environmental Science, Henan University</institution>, <addr-line>Kaifeng</addr-line>, <country>China</country></aff>
<author-notes>
<fn fn-type="edited-by"><p>Edited by: Rajiv Kumar Srivastava, Texas A and M University, United States</p></fn>
<fn fn-type="edited-by"><p>Reviewed by: Omid Karami, Purdue University, United States</p>
<p>Muhammad Tamoor, Chinese Academy of Sciences (CAS), China</p></fn>
<corresp id="c001">&#x0002A;Correspondence: Muhammad Irshad Ahmad <email>miahmad&#x00040;zzu.edu.cn</email></corresp>
</author-notes>
<pub-date pub-type="epub">
<day>10</day>
<month>01</month>
<year>2025</year>
</pub-date>
<pub-date pub-type="collection">
<year>2024</year>
</pub-date>
<volume>8</volume>
<elocation-id>1492262</elocation-id>
<history>
<date date-type="received">
<day>06</day>
<month>09</month>
<year>2024</year>
</date>
<date date-type="accepted">
<day>13</day>
<month>12</month>
<year>2024</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#x000A9; 2025 Zhang, Ahmad, Shen, Boota, Zhao and Ma.</copyright-statement>
<copyright-year>2025</copyright-year>
<copyright-holder>Zhang, Ahmad, Shen, Boota, Zhao and Ma</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/"><p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</p></license>
</permissions>
<abstract>
<p>Understanding the cycle of carbon emissions resulting from agricultural practices is critical for evaluating their effect on environmental quality. This study investigates the influence of corn production on environmental quality across six major corn producing provinces in China: Hebei, Heilongjiang, Henan, Hubei, Shandong, and Sichuan, using panel datasets spanning from 1990 to 2022. Utilizing a robust methodological framework and advanced econometric techniques such as the Panel Mean Group Autoregressive Distributed Lag model (PMG-ARDL), Panel Quantile Regressions (PQR), Panel Least Square regression (PLSR), this study offers a comprehensive analysis of both short-term and long-term impacts of several agricultural inputs, agricultural GDP, and temperature on environmental quality. The findings reveal significant long-term contributions to carbon emissions from the use of agricultural water, agricultural credit, and fertilizers use, indicating the environmental costs associated with intensive agricultural practices. The study shows carbon emissions have a long-term negative relationship with corn production. The results from the PMG-ARDL model are consistent with those obtained from the PQR, and PLSQR analyses, demonstrating strong positive correlations between agricultural loans, fertilizer use, agricultural water usage, and carbon emissions. The Dumitrescu and Hurlin results show unidirectional causation of carbon emissions from pesticide use, temperature, and agricultural GDP, and bidirectional causal relationship between carbon emissions, corn production, fertilizer use, agricultural water usage, and agricultural credit. The study underscores the critical need for policies that balance agricultural productivity with environmental quality, suggesting directions for future research to explore diverse agricultural systems and incorporate more dynamic modeling approaches to better understand and mitigate the environmental impacts of agriculture.</p></abstract>
<kwd-group>
<kwd>agricultural credit</kwd>
<kwd>agricultural input</kwd>
<kwd>carbon emissions</kwd>
<kwd>climate change</kwd>
<kwd>corn production</kwd>
</kwd-group>
<counts>
<fig-count count="9"/>
<table-count count="14"/>
<equation-count count="18"/>
<ref-count count="89"/>
<page-count count="18"/>
<word-count count="10794"/>
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<custom-meta-wrap>
<custom-meta>
<meta-name>section-at-acceptance</meta-name>
<meta-value>Agricultural and Food Economics</meta-value>
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</front>
<body>
<sec id="s1">
<title>1 Introduction</title>
<p>Agricultural production systems play a critical role in the global economy, providing food for billions of people. However, these systems also contribute significantly to greenhouse gas (GHG) emissions, accounting 34% of worldwide emissions (Crippa et al., <xref ref-type="bibr" rid="B11">2021</xref>). The shift from traditional to modern farming practices has increased reliance on fossil fuels due to advancements in land use and the adoption modern irrigation equipment (Khan et al., <xref ref-type="bibr" rid="B35">2021</xref>; Dagar et al., <xref ref-type="bibr" rid="B12">2020</xref>). As a result, agriculture now contributes about 30% of global GHG emissions (Fox et al., <xref ref-type="bibr" rid="B23">2019</xref>; Maraseni et al., <xref ref-type="bibr" rid="B45">2018</xref>), leading to a worldwide temperature increase of 1.1&#x000B0;C over the past decade (Ahmad et al., <xref ref-type="bibr" rid="B1">2024</xref>; Nathaniel, <xref ref-type="bibr" rid="B48">2021</xref>). The rapid growth of global GDP, increasing by 8.1% annually from 1961 to 2013, has also significantly increased CO<sub>2</sub> emissions, with human activities responsible for 50% of this increase in recent decades (Shuai et al., <xref ref-type="bibr" rid="B66">2018</xref>; Picano et al., <xref ref-type="bibr" rid="B55">2022</xref>). It is crucial to address these challenges, as one of the sustainable development goals is to reduce CO<sub>2</sub> emissions and ensure a healthier living environment for both current and future populations by 2030 (Murshed and Alam, <xref ref-type="bibr" rid="B47">2021</xref>; Rehman et al., <xref ref-type="bibr" rid="B58">2019</xref>).</p>
<p>China plays a crucial role in global agriculture, accounting for a quarter of the world&#x00027;s grain output and providing sustenance for a fifth of the global population (World Bank, <xref ref-type="bibr" rid="B77">2020</xref>; FAOSTAT, <xref ref-type="bibr" rid="B20">2020</xref>). China has experienced an annual growth rate of 4.6% in agricultural GDP since 1970 (Li et al., <xref ref-type="bibr" rid="B39">2023</xref>; Yang et al., <xref ref-type="bibr" rid="B79">2022</xref>). With the global population projected to reach 9.8 billion by 2050, the demand for food is expected to increase significantly (FAO, <xref ref-type="bibr" rid="B17">2016</xref>). Maize, a staple grain and cash crop, is the world&#x00027;s second-largest cultivated crop (FAO, <xref ref-type="bibr" rid="B18">2019</xref>). China is a major producer of maize, cultivating it across 43.4 million hectares in 2021, which accounts for 21.1% of the global maize cultivated area and contributes 23% of the world&#x00027;s maize production (FAOSTAT, <xref ref-type="bibr" rid="B21">2023</xref>; FAO, <xref ref-type="bibr" rid="B19">2021</xref>). Over the past two decades, China&#x00027;s maize production has seen a substantial increase, rising from 106 million tons to 273 million tons, representing a remarkable growth of 157.2% (NBSC, <xref ref-type="bibr" rid="B49">2022</xref>). Maize production has been identified as a significant source of CO<sub>2</sub> emissions due to the extensive fertilizer use and irrigation demands (Ullah et al., <xref ref-type="bibr" rid="B71">2021</xref>; Rehman et al., <xref ref-type="bibr" rid="B59">2020</xref>). The carbon emissions from maize production are particularly more carbon intensive than those wheat and rice production in China (Wang et al., <xref ref-type="bibr" rid="B75">2020</xref>).</p>
<p>Advanced agricultural technologies have increased grain output in China, but they have also led to higher CO<sub>2</sub> emissions, particularly in maize production (Chandio et al., <xref ref-type="bibr" rid="B6">2023</xref>). This is mainly due to the adoption of modern agricultural technologies in the country. Approximately 55% of the country&#x00027;s agricultural output comes from progressive agricultural methods that optimize the use of pesticides, water, fossil fuels, and fertilizers (Ullah et al., <xref ref-type="bibr" rid="B71">2021</xref>). Between 1993 and 2007, more than 49% of greenhouse gas (GHG) emissions in China were sourced from agricultural activities, a significant increase compared to the global average of 16.7% (FAOSTAT, <xref ref-type="bibr" rid="B20">2020</xref>).</p>
<p>China also uses over 65% of its freshwater resources for agriculture and has a water usage efficiency of only 32%, a stark contrast to the global agricultural water consumption rate of 70% (Li et al., <xref ref-type="bibr" rid="B40">2021</xref>; FAO, <xref ref-type="bibr" rid="B17">2016</xref>). Fossil fuel-reliant irrigation plays a role in CO<sub>2</sub> emissions in China&#x00027;s maize-producing regions (Li and Yin, <xref ref-type="bibr" rid="B38">2024</xref>), and inefficient water management contributes to both water wastage and carbon emissions (Anser et al., <xref ref-type="bibr" rid="B4">2020</xref>). Similarly, nitrogen fertilizers are a major source of agricultural CO<sub>2</sub> emissions (Shao, <xref ref-type="bibr" rid="B62">2024</xref>). The excessive use of fertilizer, with limited regulation, contributes to higher CO<sub>2</sub> emissions (Rehman et al., <xref ref-type="bibr" rid="B58">2019</xref>). In fact, the use of chemical fertilizers has increased, with China producing 70.37 million tons of fertilizers, of which 59.12 million tons were used in agriculture in 2013 (Sharma et al., <xref ref-type="bibr" rid="B63">2021</xref>; Tewatia and Chanda, <xref ref-type="bibr" rid="B69">2017</xref>).</p>
<p>Moreover, the environmental impact of maize production in China is notably high, with CO<sub>2</sub> emissions reaching 621 kg CO<sub>2</sub>-eq per metric ton, surpassing emissions reported in other major maize-producing countries such as Germany (420 kg CO<sub>2</sub>-eq Mg<sup>&#x02212;1</sup>) and the USA (231 kg CO<sub>2</sub>-eq Mg<sup>&#x02212;1</sup>) (Chen et al., <xref ref-type="bibr" rid="B8">2014</xref>; Forte et al., <xref ref-type="bibr" rid="B22">2017</xref>; Grassini and Cassman, <xref ref-type="bibr" rid="B27">2012</xref>). <xref ref-type="fig" rid="F1">Figure 1</xref> illustrates the trends in corn production and carbon emissions from 1990 to 2022 in China&#x00027;s major corn producing regions. The spatial distribution and temporal trends of annual corn production and carbon emissions are analyzed over three time periods: 1990&#x02013;2000, 2001&#x02013;2010, and 2011&#x02013;2022. In each period, corn production shows an upward trend across most regions. By the 2011&#x02013;2022 period, Shandong, Henan, and Sichuan stand out as regions with the highest emissions, indicating a direct relationship between rising corn production and increased carbon output. This highlights the environmental impact of agricultural growth in China, suggesting that while corn production has significantly increased to meet food demands, it has also contributed to higher carbon emissions. The per capita carbon emissions from Chinese agricultural sector have climbed significantly from 3 metric tons to 7.20 metric tons over the last 20 years (Banerjee and Murshed, <xref ref-type="bibr" rid="B5">2020</xref>; Xu and Lin, <xref ref-type="bibr" rid="B78">2017</xref>).</p>
<fig id="F1" position="float">
<label>Figure 1</label>
<caption><p>Trends of corn production and carbon emissions in China over the last three decades (source: authors calculation).</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fsufs-08-1492262-g0001.tif"/>
</fig>
<p>The growing use of agricultural inputs to enhance productivity has had a negative impact on the quality of the environment (Aiello et al., <xref ref-type="bibr" rid="B2">2018</xref>; World Bank, <xref ref-type="bibr" rid="B77">2020</xref>). Forecasts indicated that by 2023, worldwide CO<sub>2</sub> emissions would reach to total 36.8 billion tons, with China expected to lead with emissions of 11.0 Gt, outpacing the United States, the European Union, India, and Brazil over the past 30 years (Zhu and Huo, <xref ref-type="bibr" rid="B88">2022</xref>; Global Carbon Emissions, <xref ref-type="bibr" rid="B26">2023</xref>; Mele and Magazzino, <xref ref-type="bibr" rid="B46">2020</xref>). Specifically, China&#x00027;s farming industry accounted for 7% of its overall carbon emissions (Environmental Protection Agency [EPA], <xref ref-type="bibr" rid="B16">2022</xref>).</p>
<p>Given these trends, the Intergovernmental Panel on Climate Change (IPCC) emphasized the necessity of cutting carbon emissions to cap global temperature rises at 1.5&#x000B0;C (IPCC, <xref ref-type="bibr" rid="B33">2018</xref>). Similarly, the Food and Agriculture Organization (FAO) has advised an 80% to 88% reduction in emissions from agriculture by altering farming methods and switching to renewable energy sources (Reynolds and Wenzlau, <xref ref-type="bibr" rid="B60">2012</xref>). As the principal global contributor of greenhouse gases, China has committed to significant emission reductions by 2030 and aims for carbon neutrality by 2060, a goal announced during the 75th United Nations General Assembly (Zhu and Huo, <xref ref-type="bibr" rid="B88">2022</xref>). Supporting this goal, China&#x00027;s Ministry of Agriculture and Rural Affairs has published guidelines promoting sustainable agricultural practices from 2018 to 2030 (Shen et al., <xref ref-type="bibr" rid="B64">2020</xref>). This initiative has led to a reduction in chemical fertilizer use from 70.37 million tons to 52.51 million tons over the last 10 years (Li et al., <xref ref-type="bibr" rid="B40">2021</xref>). Although China&#x00027;s carbon emissions increased steadily from 1996 to 2016, they have since fallen by 49.6%, from 0.127 kg per yuan to 0.064 kg per yuan in 2016 (Huang et al., <xref ref-type="bibr" rid="B29">2019</xref>). Further emission reductions in agriculture are being pursued through the introduction of intermittent irrigation in agricultural fields (Dong et al., <xref ref-type="bibr" rid="B14">2018</xref>), the utilization of slow-release fertilizers (Hillier et al., <xref ref-type="bibr" rid="B28">2009</xref>), and the adoption of straw return techniques to improve soil fertility and lower carbon outputs (Zhang J. et al., <xref ref-type="bibr" rid="B87">2019</xref>; Zhang C. et al., <xref ref-type="bibr" rid="B85">2019</xref>).</p>
<p>Previous studies have explored the relationship between agricultural practices and carbon emissions. Crippa et al. (<xref ref-type="bibr" rid="B11">2021</xref>) and Qin et al. (<xref ref-type="bibr" rid="B57">2024</xref>) found that high-input agricultural systems contribute significantly to global CO<sub>2</sub> emissions due to intensive use of energy, fertilizers, and irrigation. Zhang et al. (<xref ref-type="bibr" rid="B86">2022</xref>) and Li et al. (<xref ref-type="bibr" rid="B40">2021</xref>), revealed that agricultural intensification in major crop-producing areas has markedly increased CO<sub>2</sub> emissions over the past three decades. Additionally, research on maize production, a significant source of CO<sub>2</sub> emissions in China, has highlighted the extensive use of fertilizers and irrigation as major contributors (Ullah et al., <xref ref-type="bibr" rid="B71">2021</xref>; Rehman et al., <xref ref-type="bibr" rid="B59">2020</xref>). Wang et al. (<xref ref-type="bibr" rid="B75">2020</xref>), further highlighted the carbon intensity of maize production relative to other crops. The role of agricultural credit in CO<sub>2</sub> emissions has also been analyzed, showing that financial resources can promote high-input farming practices that, while productive, increase emissions (Koondhar et al., <xref ref-type="bibr" rid="B36">2021a</xref>; Onyeneke et al., <xref ref-type="bibr" rid="B50">2024</xref>). However, a notable gap exists in understanding the specific environmental impacts of maize production in China, particularly the combined effects of agricultural credit, water usage, climate change, and agricultural GDP. Previous studies tend to focus on broad agricultural practices or individual inputs, without isolating the contributions of specific staple crops like maize. Moreover, limited attention has been paid to the nuanced interactions between climate change and CO<sub>2</sub> emissions in the context of China&#x00027;s maize production. Climate change exacerbate emissions as farmers adopt high-input practices to increase yields. Demirhan (<xref ref-type="bibr" rid="B13">2020</xref>) and Chandio et al. (<xref ref-type="bibr" rid="B6">2023</xref>) noted that temperature increases and climate change correlate with higher CO<sub>2</sub> emissions due to increased fertilizer and irrigation use. The relationship between agricultural GDP and CO<sub>2</sub> emissions is found complex. For example, Huang et al. (<xref ref-type="bibr" rid="B29">2019</xref>) found that higher agricultural GDP correlates with increased emissions in China&#x00027;s maize sector, while Wang and Zhang (<xref ref-type="bibr" rid="B74">2021</xref>) investigated that rising GDP could support sustainable practices, underlining the need for policies to balance economic growth and environmental health. Fox et al. (<xref ref-type="bibr" rid="B23">2019</xref>) and Maraseni et al. (<xref ref-type="bibr" rid="B45">2018</xref>) discussed the overall contribution of agriculture to GHG emissions but did not disaggregate the data to consider the impact of specific crops. This leaves a critical gap in our understanding of how staple crops like maize, which is heavily cultivated in China, contribute to CO<sub>2</sub> emissions.</p>
<p>Furthermore, studies that do focus on maize production often overlook the complex interactions between different agricultural inputs and CO<sub>2</sub> emissions. For instance, Zhang et al. (<xref ref-type="bibr" rid="B86">2022</xref>) examined the environmental impact of maize production in China but did not fully explored how variables like agricultural credit, temperature changes, and regional agricultural GDP might influence environmental quality in context of carbon emissions. This is a significant gap, as these factors can have substantial effects on both the scale and intensity of agricultural activities, thereby affecting environmental outcomes. This study focuses on the environmental impacts of maize production, particularly the use of fertilizers, pesticides, and water, which contribute to increased carbon emissions. Although previous research has focused on how agricultural inputs affect productivity, however, there still remains a lack of analysis concerning their effects on carbon emissions. Koondhar et al. (<xref ref-type="bibr" rid="B37">2021b</xref>) explored the effects of fertilizer use on cereal crop yields and carbon emissions; however, this study differs by concentrating on maize production and considering multiple influencing factors, including the use of pesticides and fertilizers, consumption of agricultural water, availability of agricultural credit, impacts of climate change, and the effect of agricultural GDP on carbon emissions. In fact, previous studies have explored the impact of irrigated land on agricultural productivity and the connection between water energy use, management practices, and carbon emissions. However, the link between agricultural water use and carbon emissions have not been extensively studied, and this study aims to address this gap. Additionally, this research examines the relationship among climate change, particularly temperature fluctuations, and carbon emissions, which has been underexplored in previous literature.</p>
<p>This study seeks to address these gaps by examining the environmental impacts of maize production in China by focusing on a comprehensive set of variables, including fertilizer use, agricultural water consumption, pesticide usage, agricultural credit, temperature, and agricultural GDP. By exploring these variables collectively, this study aims to contribute new insights into sustainable agricultural practices and provide targeted recommendations for balancing productivity with environmental protection.</p>
<p>The remainder of this paper is organized as follows: Section 2 introduces the Research Methods; Section 3 represents the results; Section 4 discusses findings; and Section 5 concludes with suggestions and policy measures.</p></sec>
<sec id="s2">
<title>2 Methodology</title>
<sec>
<title>2.1 Conceptual framework</title>
<p>The environmental impact of agriculture is influenced by several factors, including the use of fertilizers, pesticides, irrigation, and credit availability, which can drive both direct and indirect carbon emissions (Shao, <xref ref-type="bibr" rid="B62">2024</xref>). This study is anchored in the theory that modern agricultural practices, while boosting productivity, can lead to significant environmental externalities, particularly in the form of greenhouse gas (GHG) emissions. Drawing on resource-based theory, this study examines how agricultural inputs such as fertilizers, pesticides, water, and credit impact CO<sub>2</sub> emissions. The theory posits that efficient resource use can mitigate environmental degradation, while overuse or inefficient practices tend to amplify carbon emissions (Rehman et al., <xref ref-type="bibr" rid="B58">2019</xref>).</p>
<p>Furthermore, climate change impact suggests that temperature fluctuations directly and indirectly influence crop yields and agricultural practices, which, in turn, affect CO<sub>2</sub> emissions (Demirhan, <xref ref-type="bibr" rid="B13">2020</xref>). This study also considers the sustainability and development theory to evaluate the balance between agricultural growth and environmental sustainability, exploring whether economic gains can coexist with reduced carbon emissions.</p>
<p><xref ref-type="fig" rid="F2">Figure 2</xref> represents a cyclic process where agricultural practices designed to enhance productivity simultaneously drive carbon emissions. This cyclic process illustrates the complex association between agricultural practices, carbon emissions, and the environmental impact on maize production. The consumption of fossil fuels has increased across those producing fertilizers and pesticides. These industrial activities emit significant levels of carbon dioxide (CO<sub>2</sub>) in the environment. The emissions cycle connects to climate change and contribute to erratic climate patterns, including extreme temperatures, floods, droughts, and crop diseases.</p>
<fig id="F2" position="float">
<label>Figure 2</label>
<caption><p>Theoretical framework of the study.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fsufs-08-1492262-g0002.tif"/>
</fig>
<p>Furthermore, agricultural support systems, government and institutional funding, promote modern agricultural practices through financial assistance to farmers. This support encourages farmers to increase the use of fertilizers, pesticides, and water, all of which are essential for high-yield farming. As a result, the excessive use of agricultural inputs can reduce soil fertility, contaminate groundwater, and further increase carbon emissions.</p>
<p>Modern agriculture involves advanced machinery and technologies that enhance maize productivity, as well as agricultural GDP. However, this productivity boost comes at an environmental cost, as the adoption of modern agricultural technology also leads to higher CO<sub>2</sub> emissions. These emissions contribute to climate change, which in turn impacts crop yields. The red arrows represent the flow of carbon emissions through various processes, while the black arrows indicate the cycling of resources and environmental impact, emphasizing the interconnectedness between agricultural productivity, carbon emissions, and environmental sustainability.</p></sec>
<sec>
<title>2.2 The data</title>
<p>The study analyzes panel data from six major corn-producing provinces in China: Hubei, Sichuan, Henan, Heilongjiang, Hebei and Shandong as shown in <xref ref-type="fig" rid="F3">Figure 3</xref>. The main goal is to evaluate the impact of maize productivity along with various influencing factors including pesticides use, fertilizers use, agricultural water usage, agricultural credit, climate Change, and agricultural gross domestic product (AGDP), all impact CO<sub>2</sub> emissions. The data used in this study was derived from the China Agricultural Statistical Yearbook (CASY) for the years 1990 to 2022.<xref ref-type="fn" rid="fn0001"><sup>1</sup></xref> Temperature records were obtained from models processed by Cubic Data Academy, which utilized baseline data from the National Oceanic and Atmospheric Administration&#x00027;s National Centers for Environmental Information (NCEI) (<ext-link ext-link-type="uri" xlink:href="https://www.ncei.noaa.gov/data/global-summary-of-the-day/archive/">https://www.ncei.noaa.gov/data/global-summary-of-the-day/archive/</ext-link>) which offers highly accurate daily meteorological data from observation stations. These data are further processed by Cubic Data Academy to produce national temperature datasets, widely recognized for their reliability in climate studies. To address missing data within the panel datasets, we applied a meticulous mean imputation method, selected for its appropriateness given the nature and pattern of the missing data. The integrity of our results was validated through sensitivity analysis, which explored how different imputation methods and assumptions about missing data might affect our findings, detailed in <xref ref-type="table" rid="T1">Table 1</xref>. CO<sub>2</sub> emissions were estimated based on historical terminal energy consumption data, as the primary emissions are generally linked to fossil fuel combustion (IPCC, <xref ref-type="bibr" rid="B32">2007</xref>). Following methodologies from Li and Yin (<xref ref-type="bibr" rid="B38">2024</xref>) and Jiehua and Zhang (<xref ref-type="bibr" rid="B34">2020</xref>), our calculation for total CO<sub>2</sub> emissions included nine energy sources, arranged in the following order: diesel, natural gas, coal, electricity, gasoline, kerosene, coke, crude oil, and fuel oil, as used in the following equation.</p>
<disp-formula id="E1"><label>(1)</label><mml:math id="M1"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mstyle displaystyle='true'><mml:mo>&#x02211;</mml:mo><mml:mrow><mml:msub><mml:mi>E</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mstyle><mml:mo>&#x000D7;</mml:mo><mml:msub><mml:mi>&#x003B7;</mml:mi><mml:mi>j</mml:mi></mml:msub><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn>6</mml:mn><mml:mo>;</mml:mo><mml:mi>j</mml:mi><mml:mo>=</mml:mo><mml:mn>1</mml:mn><mml:mo>,</mml:mo><mml:mn>2</mml:mn><mml:mo>,</mml:mo><mml:mo>&#x02026;</mml:mo><mml:mn>9</mml:mn></mml:mrow><mml:mo>)</mml:mo></mml:mrow><mml:mo>&#x000A0;</mml:mo></mml:mrow></mml:math></disp-formula>
<fig id="F3" position="float">
<label>Figure 3</label>
<caption><p>Map of study provinces in China.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fsufs-08-1492262-g0003.tif"/>
</fig>
<table-wrap position="float" id="T1">
<label>Table 1</label>
<caption><p>Variables and data sources.</p></caption>
<table frame="box" rules="all">
<thead>
<tr style="background-color:#919498;color:#ffffff">
<th valign="top" align="left"><bold>Variables</bold></th>
<th valign="top" align="left"><bold>Definition/Unit</bold></th>
<th valign="top" align="left"><bold>Short form</bold></th>
<th valign="top" align="left"><bold>Code</bold></th>
<th valign="top" align="left"><bold>Sources</bold></th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">Carbon emission</td>
<td valign="top" align="left">Thousand tons</td>
<td valign="top" align="left">Y</td>
<td valign="top" align="left">CE</td>
<td valign="top" align="left">CASY</td>
</tr> <tr>
<td valign="top" align="left">Corn production</td>
<td valign="top" align="left">Ten thousand tons</td>
<td valign="top" align="left">X<sub>1</sub></td>
<td valign="top" align="left">CP</td>
<td valign="top" align="left">CASY</td>
</tr> <tr>
<td valign="top" align="left">Pesticide use</td>
<td valign="top" align="left">Tons</td>
<td valign="top" align="left">X<sub>2</sub></td>
<td valign="top" align="left">PU</td>
<td valign="top" align="left">CASY</td>
</tr> <tr>
<td valign="top" align="left">Fertilizer use</td>
<td valign="top" align="left">Ten thousand tons</td>
<td valign="top" align="left">X<sub>3</sub></td>
<td valign="top" align="left">FU</td>
<td valign="top" align="left">CASY</td>
</tr> <tr>
<td valign="top" align="left">Agricultural water use</td>
<td valign="top" align="left">Hundred million cubic meters</td>
<td valign="top" align="left">X<sub>4</sub></td>
<td valign="top" align="left">AW</td>
<td valign="top" align="left">CASY</td>
</tr> <tr>
<td valign="top" align="left">Agricultural loans</td>
<td valign="top" align="left">Ten thousand Yuan</td>
<td valign="top" align="left">X<sub>5</sub></td>
<td valign="top" align="left">AC</td>
<td valign="top" align="left">CASY</td>
</tr> <tr>
<td valign="top" align="left">Temperature</td>
<td valign="top" align="left">Average annual temperature (&#x000B0;C)</td>
<td valign="top" align="left">X<sub>6</sub></td>
<td valign="top" align="left">TM</td>
<td valign="top" align="left">NCEI</td>
</tr> <tr>
<td valign="top" align="left">Agricultural GDP</td>
<td valign="top" align="left">Hundred million Yuan</td>
<td valign="top" align="left">X<sub>7</sub></td>
<td valign="top" align="left">AGDP</td>
<td valign="top" align="left">CASY</td>
</tr></tbody>
</table>
<table-wrap-foot>
<p>CASY, China Agricultural Statistical Yearbook; NCEI, National Centers for Environmental Information.</p>
</table-wrap-foot>
</table-wrap>
<p><italic>C</italic><sub><italic>it</italic></sub> signifies the total carbon emissions of province <italic>i</italic> in year <italic>t</italic>; <italic>E</italic><sub><italic>ijt</italic></sub> denotes the usage of the <italic>j</italic>th type of energy in province <italic>i</italic> in year <italic>t</italic>; &#x003B7;<sub><italic>j</italic></sub> signifies the carbon emission coefficient of the <italic>j</italic>th type of energy; <italic>i</italic> represents the province <italic>i</italic>; <italic>j</italic> represents the <italic>j</italic>th energy source. Since the original data on energy consumption is presented in physical quantities, necessitating conversion into standard statistical units to compute carbon emissions accurately. The conversion factors for these emissions are derived from the &#x0201C;2006 IPCC Guidelines for National Greenhouse Gas Inventories.&#x0201D; These factors take into account the average lower heating values and established carbon emission factors for each energy type. The calculated carbon emission coefficients for the nine energy types&#x02014;coal, gasoline, diesel, natural gas, kerosene, fuel oil, crude oil, electricity, and coke&#x02014;are 1.9003 kg-CO<sub>2</sub>/kg, 2.8604 kg-CO<sub>2</sub>/kg, 3.0202 kg-CO<sub>2</sub>/kg, 2.9251 kg-CO<sub>2</sub>/kg, 3.0179 kg-CO<sub>2</sub>/kg, 3.0959 kg-CO<sub>2</sub>/kg, 3.175 kg-CO<sub>2</sub>/kg, 2.1622 kg-CO<sub>2</sub>/m<sup>3</sup>, and 0.801 kg-CO<sub>2</sub>/kWh, respectively. The econometric approaches used in the empirical analysis are outlined in <xref ref-type="fig" rid="F4">Figure 4</xref>.</p>
<fig id="F4" position="float">
<label>Figure 4</label>
<caption><p>The methodological framework of the study.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fsufs-08-1492262-g0004.tif"/>
</fig></sec></sec>
<sec id="s3">
<title>3 Model specification and econometric approaches</title>
<p>To investigate the relationship between CO<sub>2</sub> emissions and maize crop production (CP), we incorporated key factors including the pesticides use (PU), fertilizers use (FU), agricultural water use (AW), agricultural credit (AC), temperature (TM), and agricultural gross domestic product (AGDP). To analyze how these variables interact, the proposed model can be described as follows:</p>
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<p>The comprehensive and logarithmic form of equations are given as:</p>
<disp-formula id="E3"><label>(3)</label><mml:math id="M4"><mml:mtable class="eqnarray" columnalign="left"><mml:mtr><mml:mtd><mml:mi>C</mml:mi><mml:msub><mml:mrow><mml:mi>E</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mtext>&#x000A0;</mml:mtext><mml:mi>f</mml:mi><mml:mtext>&#x000A0;</mml:mtext><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi>C</mml:mi><mml:msubsup><mml:mrow><mml:mi>P</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi><mml:mi>t</mml:mi></mml:mrow><mml:mrow><mml:mi>&#x003B1;</mml:mi><mml:mn>1</mml:mn></mml:mrow></mml:msubsup><mml:mo>,</mml:mo><mml:mtext>&#x000A0;</mml:mtext><mml:mi>P</mml:mi><mml:msubsup><mml:mrow><mml:mi>U</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi><mml:mi>t</mml:mi></mml:mrow><mml:mrow><mml:mi>&#x003B1;</mml:mi><mml:mn>2</mml:mn></mml:mrow></mml:msubsup><mml:mo>,</mml:mo><mml:mtext>&#x000A0;</mml:mtext><mml:mi>F</mml:mi><mml:msubsup><mml:mrow><mml:mi>U</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi><mml:mi>t</mml:mi></mml:mrow><mml:mrow><mml:mi>&#x003B1;</mml:mi><mml:mn>3</mml:mn></mml:mrow></mml:msubsup><mml:mo>,</mml:mo><mml:mtext>&#x000A0;</mml:mtext><mml:mi>A</mml:mi><mml:msubsup><mml:mrow><mml:mi>W</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi><mml:mi>t</mml:mi></mml:mrow><mml:mrow><mml:mi>&#x003B1;</mml:mi><mml:mn>4</mml:mn></mml:mrow></mml:msubsup><mml:mo>,</mml:mo><mml:mi>A</mml:mi><mml:msubsup><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi><mml:mi>t</mml:mi></mml:mrow><mml:mrow><mml:mi>&#x003B1;</mml:mi><mml:mn>5</mml:mn></mml:mrow></mml:msubsup><mml:mo>,</mml:mo><mml:mi>T</mml:mi><mml:msubsup><mml:mrow><mml:mi>M</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi><mml:mi>t</mml:mi></mml:mrow><mml:mrow><mml:mi>&#x003B1;</mml:mi><mml:mn>6</mml:mn></mml:mrow></mml:msubsup><mml:mo>,</mml:mo><mml:mtext>&#x000A0;</mml:mtext><mml:mi>A</mml:mi><mml:mi>G</mml:mi><mml:mi>D</mml:mi><mml:msubsup><mml:mrow><mml:mi>P</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi><mml:mi>t</mml:mi></mml:mrow><mml:mrow><mml:mi>&#x003B1;</mml:mi><mml:mn>7</mml:mn></mml:mrow></mml:msubsup></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
<disp-formula id="E4"><label>(4)</label><mml:math id="M5"><mml:mtable class="eqnarray" columnalign="right"><mml:mtr><mml:mtd><mml:mi>L</mml:mi><mml:mi>C</mml:mi><mml:msub><mml:mrow><mml:mi>E</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mtext>&#x000A0;</mml:mtext><mml:msub><mml:mrow><mml:mi>&#x003B1;</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msub><mml:mo>&#x0002B;</mml:mo><mml:mtext>&#x000A0;</mml:mtext><mml:msub><mml:mrow><mml:mi>&#x003B1;</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow></mml:msub><mml:mi>L</mml:mi><mml:mi>C</mml:mi><mml:msub><mml:mrow><mml:mi>P</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:msub><mml:mo>&#x0002B;</mml:mo><mml:msub><mml:mrow><mml:mi>&#x003B1;</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub><mml:mi>L</mml:mi><mml:mi>P</mml:mi><mml:msub><mml:mrow><mml:mi>U</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:msub><mml:mo>&#x0002B;</mml:mo><mml:msub><mml:mrow><mml:mi>&#x003B1;</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msub><mml:mi>L</mml:mi><mml:mi>F</mml:mi><mml:msub><mml:mrow><mml:mi>U</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:msub><mml:mo>&#x0002B;</mml:mo><mml:msub><mml:mrow><mml:mi>&#x003B1;</mml:mi></mml:mrow><mml:mrow><mml:mn>4</mml:mn></mml:mrow></mml:msub><mml:mi>L</mml:mi><mml:mi>A</mml:mi><mml:msub><mml:mrow><mml:mi>W</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:msub></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mo>&#x0002B;</mml:mo><mml:msub><mml:mrow><mml:mi>&#x003B1;</mml:mi></mml:mrow><mml:mrow><mml:mn>5</mml:mn></mml:mrow></mml:msub><mml:mi>L</mml:mi><mml:mi>A</mml:mi><mml:msub><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:msub><mml:mo>&#x0002B;</mml:mo><mml:msub><mml:mrow><mml:mi>&#x003B1;</mml:mi></mml:mrow><mml:mrow><mml:mn>6</mml:mn></mml:mrow></mml:msub><mml:mi>L</mml:mi><mml:mi>T</mml:mi><mml:msub><mml:mrow><mml:mi>M</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:msub><mml:mo>&#x0002B;</mml:mo><mml:msub><mml:mrow><mml:mi>&#x003B1;</mml:mi></mml:mrow><mml:mrow><mml:mn>7</mml:mn></mml:mrow></mml:msub><mml:mi>L</mml:mi><mml:mi>A</mml:mi><mml:mi>G</mml:mi><mml:msub><mml:mrow><mml:mi>D</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:msub><mml:mo>&#x0002B;</mml:mo><mml:msub><mml:mrow><mml:mi>&#x003B5;</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:msub><mml:mtext>&#x000A0;</mml:mtext></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
<p>where <italic>LCE</italic> is logarithm of CO<sub>2</sub> emissions; <italic>LCP</italic> represents the natural log of corn production; <italic>LPU</italic> is the natural log of pesticide usage; <italic>LFU</italic> stands for the natural log of fertilizer application; <italic>LAW</italic> indicates the natural log of agricultural water consumption; <italic>LAC</italic> represents the natural log of agricultural credit; <italic>LTM</italic> denotes the natural log of temperature; and <italic>LAGD</italic> corresponds to the natural log of agricultural gross domestic product (AGDP) for each region; <italic>t</italic> specifies the time variable in the panel, while <italic>i</italic> refers to the entity&#x00027;s dimension.</p>
<p>We employed panel unit root tests to ensure stationarity, Cross-Sectional Dependence (CSD), and slope homogeneity using the Cross-sectionally Augmented Im, Pesaran, and Shin (CIPS) approach (Pesaran, <xref ref-type="bibr" rid="B53">2015</xref>, <xref ref-type="bibr" rid="B52">2006</xref>), as outlined in the following equations:</p>
<disp-formula id="E5"><label>(5)</label><mml:math id="M7"><mml:mtable class="eqnarray" columnalign="left"><mml:mtr><mml:mtd><mml:mi>C</mml:mi><mml:mi>D</mml:mi><mml:mo>=</mml:mo><mml:msqrt><mml:mrow><mml:mfrac><mml:mrow><mml:mn>2</mml:mn><mml:mi>T</mml:mi></mml:mrow><mml:mrow><mml:mi>N</mml:mi><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi>N</mml:mi><mml:mo>-</mml:mo><mml:mn>1</mml:mn></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:mfrac></mml:mrow></mml:msqrt><mml:mtext>&#x000A0;</mml:mtext><mml:mrow><mml:mo stretchy="true">(</mml:mo><mml:mrow><mml:mstyle displaystyle="true"><mml:munderover accentunder="false" accent="false"><mml:mrow><mml:mo>&#x02211;</mml:mo></mml:mrow><mml:mrow><mml:mi>m</mml:mi><mml:mo>=</mml:mo><mml:mn>1</mml:mn></mml:mrow><mml:mrow><mml:mi>N</mml:mi><mml:mo>-</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:munderover></mml:mstyle><mml:mtext>&#x000A0;</mml:mtext><mml:mstyle displaystyle="true"><mml:munderover accentunder="false" accent="false"><mml:mrow><mml:mo>&#x02211;</mml:mo></mml:mrow><mml:mrow><mml:mi>k</mml:mi><mml:mo>=</mml:mo><mml:mi>m</mml:mi><mml:mo>&#x0002B;</mml:mo><mml:mn>1</mml:mn></mml:mrow><mml:mrow><mml:mi>N</mml:mi></mml:mrow></mml:munderover></mml:mstyle><mml:mtext>&#x000A0;</mml:mtext><mml:msub><mml:mrow><mml:mi>&#x003BC;</mml:mi></mml:mrow><mml:mrow><mml:mi>m</mml:mi><mml:mi>k</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mo stretchy="true">)</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
<disp-formula id="E6"><label>(6)</label><mml:math id="M8"><mml:mrow><mml:mover accent='true'><mml:mtext>&#x00394;</mml:mtext><mml:mo>&#x02323;</mml:mo></mml:mover><mml:mo>=</mml:mo><mml:msqrt><mml:mi>N</mml:mi></mml:msqrt><mml:mtext>&#x000A0;</mml:mtext><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:msup><mml:mi>N</mml:mi><mml:mrow><mml:mo>&#x02212;</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:msup><mml:mi>S</mml:mi><mml:mover accent='true'><mml:mi>W</mml:mi><mml:mo>&#x002DC;</mml:mo></mml:mover><mml:mo>&#x02212;</mml:mo><mml:mfrac><mml:mi>n</mml:mi><mml:mrow><mml:mn>2</mml:mn><mml:mi>n</mml:mi></mml:mrow></mml:mfrac></mml:mrow><mml:mo>)</mml:mo></mml:mrow><mml:mo>~</mml:mo><mml:mtext>&#x000A0;</mml:mtext><mml:msup><mml:mi>X</mml:mi><mml:mn>2</mml:mn></mml:msup></mml:mrow></mml:math></disp-formula>
<disp-formula id="E7"><label>(7)</label><mml:math id="M9"><mml:mrow><mml:msub><mml:mover accent='true'><mml:mtext>&#x00394;</mml:mtext><mml:mo>&#x02323;</mml:mo></mml:mover><mml:mrow><mml:mi>a</mml:mi><mml:mi>d</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:msqrt><mml:mi>N</mml:mi></mml:msqrt><mml:mtext>&#x000A0;</mml:mtext><mml:mo stretchy='false'>(</mml:mo><mml:msup><mml:mi>N</mml:mi><mml:mrow><mml:mo>&#x02212;</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:msup><mml:mi>S</mml:mi><mml:mover accent='true'><mml:mi>W</mml:mi><mml:mo>&#x002DC;</mml:mo></mml:mover><mml:mo>&#x02212;</mml:mo><mml:mfrac><mml:mi>n</mml:mi><mml:mrow><mml:mi>v</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:mi>T</mml:mi><mml:mo>,</mml:mo><mml:mi>n</mml:mi></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:mfrac><mml:mo stretchy='false'>)</mml:mo><mml:mo stretchy='false'>)</mml:mo><mml:mo>~</mml:mo><mml:mtext>&#x000A0;</mml:mtext><mml:mi>N</mml:mi><mml:mo stretchy='false'>(</mml:mo><mml:mn>0</mml:mn><mml:mo>,</mml:mo><mml:mn>1</mml:mn><mml:mo stretchy='false'>)</mml:mo><mml:mo>&#x000A0;</mml:mo></mml:mrow></mml:math></disp-formula>
<p>Where <italic>N</italic> represents the total number of observations in the dataset, <italic>n</italic> denotes an independent variable; <italic>v</italic>(<italic>T, n</italic>) is a complex term, and <italic>SW</italic> refers to Swami&#x00027;s statistical measure.</p>
<p>Second-generation unit root tests (Im et al., <xref ref-type="bibr" rid="B31">2003</xref>) and cross-sectional dependence test (Pesaran and Yamagata, <xref ref-type="bibr" rid="B54">2008</xref>) by using the following equation:</p>
<disp-formula id="E8"><label>(8)</label><mml:math id="M10"><mml:mtable columnalign='right'><mml:mtr><mml:mtd><mml:mtext>&#x00394;</mml:mtext><mml:msub><mml:mi>M</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>&#x003B2;</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>&#x003B2;</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:msub><mml:mi>Z</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>t</mml:mi><mml:mo>&#x02212;</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>&#x003B2;</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mtext>&#x000A0;</mml:mtext><mml:mover accent='true'><mml:mrow><mml:msub><mml:mi>M</mml:mi><mml:mrow><mml:mi>t</mml:mi><mml:mo>&#x02212;</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:msub></mml:mrow><mml:mo stretchy='true'>&#x000AF;</mml:mo></mml:mover><mml:mo>+</mml:mo><mml:mstyle displaystyle='true'><mml:munderover><mml:mo>&#x02211;</mml:mo><mml:mrow><mml:mi>m</mml:mi><mml:mo>=</mml:mo><mml:mn>0</mml:mn></mml:mrow><mml:mi>v</mml:mi></mml:munderover><mml:mrow><mml:msub><mml:mi>&#x003B2;</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>m</mml:mi></mml:mrow></mml:msub><mml:mover accent='true'><mml:mrow><mml:msub><mml:mi>M</mml:mi><mml:mrow><mml:mi>t</mml:mi><mml:mo>&#x02212;</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:msub></mml:mrow><mml:mo stretchy='true'>&#x000AF;</mml:mo></mml:mover><mml:mtext>&#x000A0;</mml:mtext></mml:mrow></mml:mstyle></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mo>+</mml:mo><mml:mstyle displaystyle='true'><mml:munderover><mml:mo>&#x02211;</mml:mo><mml:mrow><mml:mi>m</mml:mi><mml:mo>=</mml:mo><mml:mn>0</mml:mn></mml:mrow><mml:mi>v</mml:mi></mml:munderover><mml:mtext>&#x000A0;</mml:mtext></mml:mstyle><mml:msub><mml:mi>&#x003B2;</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>m</mml:mi></mml:mrow></mml:msub><mml:msub><mml:mi>Z</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>t</mml:mi><mml:mo>&#x02212;</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>&#x003B5;</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:msub></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
<p>Where <inline-formula><mml:math id="M12"><mml:mrow><mml:mover accent='true'><mml:mrow><mml:msub><mml:mi>M</mml:mi><mml:mrow><mml:mi>t</mml:mi><mml:mo>&#x02212;</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:msub></mml:mrow><mml:mo stretchy='true'>&#x000AF;</mml:mo></mml:mover></mml:mrow></mml:math></inline-formula> denotes the cross-sectional averages. The CIPS (Cross-sectionally Augmented Dickey-Fuller) results are derived using the following equation:</p>
<disp-formula id="E9"><label>(9)</label><mml:math id="M13"><mml:mtable class="eqnarray" columnalign="left"><mml:mtr><mml:mtd><mml:mover accent="false"><mml:mrow><mml:mi>C</mml:mi><mml:mi>I</mml:mi><mml:mi>P</mml:mi><mml:mi>S</mml:mi></mml:mrow><mml:mo>^</mml:mo></mml:mover><mml:mo>=</mml:mo><mml:mfrac><mml:mrow><mml:mi>I</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:mfrac><mml:mtext>&#x000A0;</mml:mtext><mml:mstyle displaystyle="true"><mml:munderover accentunder="false" accent="false"><mml:mrow><mml:mo>&#x02211;</mml:mo></mml:mrow><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn>1</mml:mn></mml:mrow><mml:mrow><mml:mi>n</mml:mi></mml:mrow></mml:munderover></mml:mstyle><mml:mtext>&#x000A0;</mml:mtext><mml:mi>C</mml:mi><mml:mi>A</mml:mi><mml:mi>D</mml:mi><mml:msub><mml:mrow><mml:mi>F</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi></mml:mrow></mml:msub></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
<p>We also utilized second-generation panel co-integration tests (Persyn and Westerlund, <xref ref-type="bibr" rid="B51">2008</xref>) by using the following equation:</p>
<disp-formula id="E10"><label>(10)</label><mml:math id="M14"><mml:mtable class="eqnarray" columnalign="right"><mml:mtr><mml:mtd><mml:mtext>&#x00394;</mml:mtext><mml:msub><mml:mrow><mml:mi>X</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mrow><mml:mi>&#x003BE;</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi></mml:mrow></mml:msub><mml:msub><mml:mrow><mml:mi>&#x003B3;</mml:mi></mml:mrow><mml:mrow><mml:mi>t</mml:mi></mml:mrow></mml:msub><mml:mo>&#x0002B;</mml:mo><mml:msub><mml:mrow><mml:mi>&#x003C6;</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi></mml:mrow></mml:msub><mml:msub><mml:mrow><mml:mi>X</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi><mml:mi>t</mml:mi><mml:mo>-</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:msub><mml:mo>&#x0002B;</mml:mo><mml:msub><mml:mrow><mml:mi>&#x003BE;</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi></mml:mrow></mml:msub><mml:msub><mml:mrow><mml:mi>Y</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi><mml:mi>t</mml:mi><mml:mo>-</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:msub><mml:mo>&#x0002B;</mml:mo><mml:mstyle displaystyle="true"><mml:munderover accentunder="false" accent="false"><mml:mrow><mml:mo>&#x02211;</mml:mo></mml:mrow><mml:mrow><mml:mi>m</mml:mi><mml:mo>=</mml:mo><mml:mn>0</mml:mn></mml:mrow><mml:mrow><mml:mi>v</mml:mi><mml:mi>i</mml:mi></mml:mrow></mml:munderover></mml:mstyle><mml:msub><mml:mrow><mml:mi>&#x003C6;</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi><mml:mi>m</mml:mi></mml:mrow></mml:msub><mml:msub><mml:mrow><mml:mi>X</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi><mml:mi>t</mml:mi><mml:mo>-</mml:mo><mml:mi>m</mml:mi></mml:mrow></mml:msub></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mo>&#x0002B;</mml:mo><mml:mstyle displaystyle="true"><mml:munderover accentunder="false" accent="false"><mml:mrow><mml:mo>&#x02211;</mml:mo></mml:mrow><mml:mrow><mml:mi>m</mml:mi><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mi>r</mml:mi><mml:mi>i</mml:mi></mml:mrow><mml:mrow><mml:mi>v</mml:mi></mml:mrow></mml:munderover></mml:mstyle><mml:mtext>&#x000A0;</mml:mtext><mml:msub><mml:mrow><mml:mi>&#x003C6;</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi><mml:mi>m</mml:mi></mml:mrow></mml:msub><mml:msub><mml:mrow><mml:mi>Y</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi><mml:mi>t</mml:mi><mml:mo>-</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:msub><mml:mo>&#x0002B;</mml:mo><mml:msub><mml:mrow><mml:mi>&#x003B5;</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:msub></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
<p>The PMG-ARDL (Panel Mean Group Autoregressive Distributed Lag) was employed, proposed by Shin et al. (<xref ref-type="bibr" rid="B65">2014</xref>) for analyzing the short-term and long-term outcomes (Shin et al., <xref ref-type="bibr" rid="B65">2014</xref>; Ma et al., <xref ref-type="bibr" rid="B42">2024a</xref>; Tiwari et al., <xref ref-type="bibr" rid="B70">2023</xref>; Wang et al., <xref ref-type="bibr" rid="B73">2023</xref>; Ye et al., <xref ref-type="bibr" rid="B81">2023</xref>). The mathematical formulation of the model is given as:</p>
<disp-formula id="E11"><label>(11)</label><mml:math id="M16"><mml:mrow><mml:msub><mml:mi>X</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mstyle displaystyle='true'><mml:munderover><mml:mo>&#x02211;</mml:mo><mml:mrow><mml:mi>l</mml:mi><mml:mo>=</mml:mo><mml:mn>1</mml:mn></mml:mrow><mml:mi>r</mml:mi></mml:munderover><mml:mrow><mml:msub><mml:mi>&#x003C0;</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>l</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mstyle><mml:msub><mml:mrow><mml:mo stretchy='false'>(</mml:mo><mml:msub><mml:mi>X</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo stretchy='false'>)</mml:mo></mml:mrow><mml:mrow><mml:mi>t</mml:mi><mml:mo>&#x02212;</mml:mo><mml:mi>l</mml:mi></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:mstyle displaystyle='true'><mml:munderover><mml:mo>&#x02211;</mml:mo><mml:mrow><mml:mi>l</mml:mi><mml:mo>=</mml:mo><mml:mn>0</mml:mn></mml:mrow><mml:mi>r</mml:mi></mml:munderover><mml:mtext>&#x000A0;</mml:mtext></mml:mstyle><mml:msub><mml:mi>&#x003BE;</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>l</mml:mi></mml:mrow></mml:msub><mml:msub><mml:mrow><mml:mo stretchy='false'>(</mml:mo><mml:msub><mml:mi>Z</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo stretchy='false'>)</mml:mo></mml:mrow><mml:mrow><mml:mi>t</mml:mi><mml:mo>&#x02212;</mml:mo><mml:mi>l</mml:mi></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>&#x003B5;</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></disp-formula>
<p>Where <italic>X</italic><sub><italic>it</italic></sub> is dependent variable at time <italic>t</italic> for panel unit <italic>i</italic>; and <italic>X</italic><sub><italic>i</italic></sub> represents a vector of independent variables. <sub>(<italic>X</italic><sub><italic>i</italic></sub>)<italic>t</italic>&#x02212;<italic>l</italic></sub> Shows dependent variable&#x00027;s lagged values (<italic>X</italic><sub><italic>i</italic></sub>) at time <italic>t</italic> &#x02212; 1; <sub>(<italic>Z</italic><sub><italic>i</italic></sub>)<italic>t</italic>&#x02212;<italic>l</italic></sub> is independent variable (<italic>Z</italic><sub><italic>i</italic></sub>) lagged values at time <italic>t</italic> &#x02212; 1; &#x003C0;<sub><italic>il</italic></sub> <italic>and &#x003BE;</italic><sub><italic>il</italic></sub> are dependent and independent variables lagged values coefficients, respectively; the error terms is shown by &#x003B5;<sub><italic>it</italic></sub>. Following equation is employed to estimate the long and short run impact.</p>
<disp-formula id="E12"><label>(12)</label><mml:math id="M17"><mml:mrow><mml:mtext>&#x00394;</mml:mtext><mml:msub><mml:mi>X</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>&#x003BB;</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo stretchy='false'>(</mml:mo><mml:msub><mml:mi>X</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mi>t</mml:mi><mml:mo>&#x02212;</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:msub><mml:mo>&#x02212;</mml:mo><mml:msub><mml:mi>&#x003BE;</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:msub><mml:mi>Z</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mtext>&#x000A0;</mml:mtext><mml:mi>t</mml:mi><mml:mo>&#x02212;</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:msub><mml:mo stretchy='false'>)</mml:mo><mml:mstyle displaystyle='true'><mml:munderover><mml:mo>&#x02211;</mml:mo><mml:mrow><mml:mi>l</mml:mi><mml:mo>=</mml:mo><mml:mn>1</mml:mn></mml:mrow><mml:mrow><mml:mi>r</mml:mi><mml:mo>&#x02212;</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:munderover><mml:mrow><mml:msub><mml:mi>&#x003C0;</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>l</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mstyle><mml:mtext>&#x00394;</mml:mtext><mml:msub><mml:mrow><mml:mo stretchy='false'>(</mml:mo><mml:msub><mml:mi>X</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo stretchy='false'>)</mml:mo></mml:mrow><mml:mrow><mml:mi>t</mml:mi><mml:mo>&#x02212;</mml:mo><mml:mi>l</mml:mi></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:mstyle displaystyle='true'><mml:munderover><mml:mo>&#x02211;</mml:mo><mml:mrow><mml:mi>l</mml:mi><mml:mo>=</mml:mo><mml:mn>0</mml:mn></mml:mrow><mml:mrow><mml:mi>r</mml:mi><mml:mo>&#x02212;</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:munderover><mml:mtext>&#x000A0;</mml:mtext></mml:mstyle><mml:msub><mml:mi>&#x003BE;</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>l</mml:mi></mml:mrow></mml:msub><mml:mtext>&#x00394;</mml:mtext><mml:msub><mml:mrow><mml:mo stretchy='false'>(</mml:mo><mml:msub><mml:mi>Z</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo stretchy='false'>)</mml:mo></mml:mrow><mml:mrow><mml:mi>t</mml:mi><mml:mo>&#x02212;</mml:mo><mml:mi>l</mml:mi></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>&#x003B5;</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></disp-formula>
<p>Finally, we used the Dumitrescu and Hurlin (<xref ref-type="bibr" rid="B15">2012</xref>) panel causality test to investigate the relationships among the variables by using following model:</p>
<disp-formula id="E13"><label>(13)</label><mml:math id="M19"><mml:mtable class="eqnarray" columnalign="left"><mml:mtr><mml:mtd><mml:msub><mml:mrow><mml:mi>Y</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mrow><mml:mi>&#x003B1;</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi></mml:mrow></mml:msub><mml:mo>&#x0002B;</mml:mo><mml:mstyle displaystyle="true"><mml:munderover accentunder="false" accent="false"><mml:mrow><mml:mo>&#x02211;</mml:mo></mml:mrow><mml:mrow><mml:mi>s</mml:mi><mml:mo>=</mml:mo><mml:mn>1</mml:mn></mml:mrow><mml:mrow><mml:mi>n</mml:mi></mml:mrow></mml:munderover></mml:mstyle><mml:msubsup><mml:mrow><mml:mtext>&#x003BB;</mml:mtext></mml:mrow><mml:mrow><mml:mi>i</mml:mi></mml:mrow><mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi>s</mml:mi></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:msubsup><mml:msub><mml:mrow><mml:mi>Y</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mi>t</mml:mi><mml:mo>-</mml:mo><mml:mi>s</mml:mi></mml:mrow></mml:msub><mml:mo>&#x0002B;</mml:mo><mml:mstyle displaystyle="true"><mml:munderover accentunder="false" accent="false"><mml:mrow><mml:mo>&#x02211;</mml:mo></mml:mrow><mml:mrow><mml:mi>s</mml:mi><mml:mo>=</mml:mo><mml:mn>1</mml:mn></mml:mrow><mml:mrow><mml:mi>n</mml:mi></mml:mrow></mml:munderover></mml:mstyle><mml:mtext>&#x000A0;</mml:mtext><mml:msubsup><mml:mrow><mml:mi>&#x003B3;</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi></mml:mrow><mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi>s</mml:mi></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:msubsup><mml:msub><mml:mrow><mml:mi>X</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mtext>&#x000A0;</mml:mtext><mml:mi>t</mml:mi><mml:mo>-</mml:mo><mml:mi>s</mml:mi></mml:mrow></mml:msub><mml:mo>&#x0002B;</mml:mo><mml:msub><mml:mrow><mml:mi>&#x003B5;</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mi>t</mml:mi></mml:mrow></mml:msub></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
<p>Where <italic>sn</italic> denotes the lag length for the variables, <inline-formula><mml:math id="M20"><mml:msubsup><mml:mrow><mml:mtext>&#x003BB;</mml:mtext></mml:mrow><mml:mrow><mml:mi>i</mml:mi></mml:mrow><mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi>s</mml:mi></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:msubsup></mml:math></inline-formula> represents the autoregressive constraint, and <inline-formula><mml:math id="M21"><mml:msubsup><mml:mrow><mml:mi>&#x003B3;</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi></mml:mrow><mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi>s</mml:mi></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:msubsup></mml:math></inline-formula> is the slope constant.</p>
<p>In this study, all regression analyses and simulations were conducted using Stata 17. This software is particularly well-suited for implementing the various econometric techniques.</p></sec>
<sec id="s4">
<title>4 Results and discussion</title>
<sec>
<title>4.1 Descriptive summary</title>
<p><xref ref-type="table" rid="T2">Table 2</xref> presents a wide range between the minimum and maximum values of variables, suggesting the presence of outliers&#x02014;data points that significantly differ from the overall trend when displayed in their logarithmic forms. Low standard deviation values suggest that the data points are closely grouped around their means, indicating that the dataset is stable and shows little variation from the average. Many of the variables display negative skewness, which points to an asymmetry that leans to the left, with a higher concentration of values toward the upper end of the scale. Kurtosis measures how the tails of a distribution compare to those of a normal distribution, where positive kurtosis indicates heavier tails and a sharper peak. Higher kurtosis values reflect more pronounced peaks and heavier tails, while lower values suggest a flatter distribution with lighter tails. The results of the Jarque-Bera (JB) test reveal that the data distribution is asymmetrical and deviates from the classic bell shape of a normal distribution, indicating variations in skewness and kurtosis. <xref ref-type="fig" rid="F5">Figure 5</xref> displays the logarithmic transformations of the variables examined across the provinces from 1990 to 2022. <xref ref-type="table" rid="T3">Table 3</xref> presents the results of the correlation analysis, demonstrating strong positive relationships between CO<sub>2</sub> emissions and the various independent variables examined in the study.</p>
<table-wrap position="float" id="T2">
<label>Table 2</label>
<caption><p>Descriptive statistics.</p></caption>
<table frame="box" rules="all">
<thead>
<tr style="background-color:#919498;color:#ffffff">
<th valign="top" align="left"><bold>Variable</bold></th>
<th valign="top" align="center"><bold>LCE</bold></th>
<th valign="top" align="center"><bold>LCP</bold></th>
<th valign="top" align="center"><bold>LPU</bold></th>
<th valign="top" align="center"><bold>LFU</bold></th>
<th valign="top" align="center"><bold>LAW</bold></th>
<th valign="top" align="center"><bold>LAC</bold></th>
<th valign="top" align="center"><bold>LTM</bold></th>
<th valign="top" align="center"><bold>LAGDP</bold></th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">Mean</td>
<td valign="top" align="center">10.459</td>
<td valign="top" align="center">6.574</td>
<td valign="top" align="center">11.230</td>
<td valign="top" align="center">5.652</td>
<td valign="top" align="center">4.962</td>
<td valign="top" align="center">15.376</td>
<td valign="top" align="center">2.164</td>
<td valign="top" align="center">7.270</td>
</tr> <tr>
<td valign="top" align="left">Std. Dev.</td>
<td valign="top" align="center">0.619</td>
<td valign="top" align="center">0.979</td>
<td valign="top" align="center">0.563</td>
<td valign="top" align="center">0.45</td>
<td valign="top" align="center">0.245</td>
<td valign="top" align="center">1.394</td>
<td valign="top" align="center">0.706</td>
<td valign="top" align="center">0.918</td>
</tr> <tr>
<td valign="top" align="left">Min</td>
<td valign="top" align="center">9.409</td>
<td valign="top" align="center">4.757</td>
<td valign="top" align="center">8.798</td>
<td valign="top" align="center">4.337</td>
<td valign="top" align="center">4.447</td>
<td valign="top" align="center">12.458</td>
<td valign="top" align="center">0.247</td>
<td valign="top" align="center">5.165</td>
</tr> <tr>
<td valign="top" align="left">Max</td>
<td valign="top" align="center">11.935</td>
<td valign="top" align="center">8.331</td>
<td valign="top" align="center">12.2</td>
<td valign="top" align="center">6.574</td>
<td valign="top" align="center">5.757</td>
<td valign="top" align="center">18.137</td>
<td valign="top" align="center">2.784</td>
<td valign="top" align="center">8.846</td>
</tr> <tr>
<td valign="top" align="left">Skewness</td>
<td valign="top" align="center">0.594</td>
<td valign="top" align="center">&#x02212;0.223</td>
<td valign="top" align="center">&#x02212;1.254</td>
<td valign="top" align="center">&#x02212;0.183</td>
<td valign="top" align="center">1.428</td>
<td valign="top" align="center">&#x02212;0.162</td>
<td valign="top" align="center">&#x02212;1.295</td>
<td valign="top" align="center">&#x02212;0.264</td>
</tr> <tr>
<td valign="top" align="left">Kurtosis</td>
<td valign="top" align="center">2.550</td>
<td valign="top" align="center">1.886</td>
<td valign="top" align="center">5.739</td>
<td valign="top" align="center">3.201</td>
<td valign="top" align="center">5.751</td>
<td valign="top" align="center">2.201</td>
<td valign="top" align="center">3.489</td>
<td valign="top" align="center">2.001</td>
</tr> <tr>
<td valign="top" align="left">Probability</td>
<td valign="top" align="center">0.000</td>
<td valign="top" align="center">0.000</td>
<td valign="top" align="center">0.000</td>
<td valign="top" align="center">0.401</td>
<td valign="top" align="center">0.000</td>
<td valign="top" align="center">0.002</td>
<td valign="top" align="center">0.000</td>
<td valign="top" align="center">0.000</td>
</tr> <tr>
<td valign="top" align="left">Jarque-Bera</td>
<td valign="top" align="center">36.620</td>
<td valign="top" align="center">11.880</td>
<td valign="top" align="center">113.80</td>
<td valign="top" align="center">1.447</td>
<td valign="top" align="center">129.80</td>
<td valign="top" align="center">6.141</td>
<td valign="top" align="center">57.370</td>
<td valign="top" align="center">10.460</td>
</tr></tbody>
</table>
</table-wrap>
<fig id="F5" position="float">
<label>Figure 5</label>
<caption><p>The variable trends over the period 1990&#x02013;2022 (source: authors calculation).</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fsufs-08-1492262-g0005.tif"/>
</fig>
<table-wrap position="float" id="T3">
<label>Table 3</label>
<caption><p>Correlation analysis.</p></caption>
<table frame="box" rules="all">
<thead>
<tr style="background-color:#919498;color:#ffffff">
<th valign="top" align="left"><bold>Variables</bold></th>
<th valign="top" align="center"><bold>LCE</bold></th>
<th valign="top" align="center"><bold>LCP</bold></th>
<th valign="top" align="center"><bold>LPU</bold></th>
<th valign="top" align="center"><bold>LFU</bold></th>
<th valign="top" align="center"><bold>LAW</bold></th>
<th valign="top" align="center"><bold>LAC</bold></th>
<th valign="top" align="center"><bold>LTM</bold></th>
<th valign="top" align="center"><bold>LAGDP</bold></th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">LCE</td>
<td valign="top" align="center">1</td>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
</tr> <tr>
<td valign="top" align="left">LCP</td>
<td valign="top" align="center">0.282</td>
<td valign="top" align="center">1</td>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
</tr> <tr>
<td valign="top" align="left">LPU</td>
<td valign="top" align="center">0.463</td>
<td valign="top" align="center">0.065</td>
<td valign="top" align="center">1</td>
<td/>
<td/>
<td/>
<td/>
<td/>
</tr> <tr>
<td valign="top" align="left">LFU</td>
<td valign="top" align="center">0.621</td>
<td valign="top" align="center">0.279</td>
<td valign="top" align="center">0.810</td>
<td valign="top" align="center">1</td>
<td/>
<td/>
<td/>
<td/>
</tr> <tr>
<td valign="top" align="left">LAW</td>
<td valign="top" align="center">0.116</td>
<td valign="top" align="center">0.292</td>
<td valign="top" align="center">0.112</td>
<td valign="top" align="center">&#x02212;0.145</td>
<td valign="top" align="center">1</td>
<td/>
<td/>
<td/>
</tr> <tr>
<td valign="top" align="left">LAC</td>
<td valign="top" align="center">0.827</td>
<td valign="top" align="center">0.448</td>
<td valign="top" align="center">0.488</td>
<td valign="top" align="center">0.684</td>
<td valign="top" align="center">0.086</td>
<td valign="top" align="center">1</td>
<td/>
<td/>
</tr> <tr>
<td valign="top" align="left">LTM</td>
<td valign="top" align="center">0.276</td>
<td valign="top" align="center">&#x02212;0.298</td>
<td valign="top" align="center">0.623</td>
<td valign="top" align="center">0.695</td>
<td valign="top" align="center">&#x02212;0.529</td>
<td valign="top" align="center">0.263</td>
<td valign="top" align="center">1</td>
<td/>
</tr> <tr>
<td valign="top" align="left">LAGDP</td>
<td valign="top" align="center">0.746</td>
<td valign="top" align="center">0.415</td>
<td valign="top" align="center">0.525</td>
<td valign="top" align="center">0.670</td>
<td valign="top" align="center">0.263</td>
<td valign="top" align="center">0.904</td>
<td valign="top" align="center">0.245</td>
<td valign="top" align="center">1</td>
</tr></tbody>
</table>
</table-wrap>
<p>The results in <xref ref-type="table" rid="T4">Table 4</xref> confirm the presence of cross-sectional dependence (CSD), indicating that standard shocks affect the variables across the specified provincial group. <xref ref-type="table" rid="T5">Table 5</xref> presents the findings of second-generation unit root tests, including the CIPS and CADF test statistics for both level and first difference specifications. According to the results of the CIPS test, variables such as carbon emissions, fertilizer use, agricultural water usage, agricultural credit, and temperature are stationary at the level, whereas corn production, pesticide use, and agricultural GDP reach stationarity at the first difference. The CADF test results show that all variables except for LTM are stationary at the first difference. <xref ref-type="table" rid="T6">Table 6</xref> displays Kao cointegration results, which shows a significant long-term relationship among the variables in our model. Co-integration tests are essential for investigating long-term relationships among variables (Gengenbach et al., <xref ref-type="bibr" rid="B24">2006</xref>).</p>
<table-wrap position="float" id="T4">
<label>Table 4</label>
<caption><p>Cross-sectional dependence (CSD) and slope homogeneity outcomes.</p></caption>
<table frame="box" rules="all">
<thead>
<tr style="background-color:#919498;color:#ffffff">
<th valign="top" align="left"><bold>Variables</bold></th>
<th valign="top" align="center"><bold>Pesaran-scaled LM</bold></th>
<th valign="top" align="center"><bold>Pesaran CD</bold></th>
<th valign="top" align="center"><bold>Friedman approach</bold></th>
<th valign="top" align="center"><bold>Frees approach</bold></th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">LCE</td>
<td valign="top" align="center">10.459<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">19.250<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">158.644<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">3.758<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
</tr> <tr>
<td valign="top" align="left">LCP</td>
<td valign="top" align="center">6.574<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">19.018<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">168.588<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">4.251<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
</tr> <tr>
<td valign="top" align="left">LPU</td>
<td valign="top" align="center">11.230<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">15.397<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">144.900<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">2.939<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
</tr> <tr>
<td valign="top" align="left">LFU</td>
<td valign="top" align="center">5.651<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">17.561<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">153.088<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">3.365<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
</tr> <tr>
<td valign="top" align="left">LAW</td>
<td valign="top" align="center">4.962<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">2.796<sup>&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">48.998<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">2.046<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
</tr> <tr>
<td valign="top" align="left">LAC</td>
<td valign="top" align="center">15.375<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">21.234<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">188.880<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">5.582<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
</tr> <tr>
<td valign="top" align="left">LTM</td>
<td valign="top" align="center">2.164<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">14.394<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">136.513<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">2.651<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
</tr> <tr>
<td valign="top" align="left">LAGDP</td>
<td valign="top" align="center">7.269<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">21.930<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">188.303<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">5.539<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
</tr></tbody>
</table>
<table-wrap-foot>
<p><sup>&#x0002A;&#x0002A;</sup>, <sup>&#x0002A;&#x0002A;&#x0002A;</sup>describes 5% and 10% significance level.</p>
</table-wrap-foot>
</table-wrap>
<table-wrap position="float" id="T5">
<label>Table 5</label>
<caption><p>Second generation unit root testing.</p></caption>
<table frame="box" rules="all">
<thead>
<tr style="background-color:#919498;color:#ffffff">
<th valign="top" align="left"><bold>Variables</bold></th>
<th valign="top" align="center"><bold>CIPS</bold></th>
<th valign="top" align="center"><bold>CADF</bold></th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">LCE</td>
<td valign="top" align="center">&#x02212;1.869 (a)<sup>&#x0002A;</sup></td>
<td valign="top" align="center">&#x02212;3.028 (b)<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
</tr> <tr>
<td valign="top" align="left">LCP</td>
<td valign="top" align="center">&#x02212;6.077 (b)<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">&#x02212;4.341 (b)<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
</tr> <tr>
<td valign="top" align="left">LPU</td>
<td valign="top" align="center">&#x02212;4.171 (b)<sup>&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">&#x02212;3.625 (b)<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
</tr> <tr>
<td valign="top" align="left">LFU</td>
<td valign="top" align="center">&#x02212;1.967 (a)<sup>&#x0002A;</sup></td>
<td valign="top" align="center">&#x02212;2.849 (b)<sup>&#x0002A;&#x0002A;</sup></td>
</tr> <tr>
<td valign="top" align="left">LAW</td>
<td valign="top" align="center">&#x02212;1.987 (a)<sup>&#x0002A;</sup></td>
<td valign="top" align="center">&#x02212;4.148 (b)<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
</tr> <tr>
<td valign="top" align="left">LAC</td>
<td valign="top" align="center">&#x02212;1.999 (a)<sup>&#x0002A;</sup></td>
<td valign="top" align="center">&#x02212;3.792 (b)<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
</tr> <tr>
<td valign="top" align="left">LTM</td>
<td valign="top" align="center">&#x02212;4.869 (a)<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">&#x02212;3.555 (a)<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
</tr> <tr>
<td valign="top" align="left">LAGDP</td>
<td valign="top" align="center">&#x02212;5.525 (b)<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">&#x02212;3.758 (b)<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
</tr></tbody>
</table>
<table-wrap-foot>
<p><sup>&#x0002A;</sup>, <sup>&#x0002A;&#x0002A;</sup>, <sup>&#x0002A;&#x0002A;&#x0002A;</sup>describes 1%, 5%, and 10% significance level: (a) indicates the stationary level at level I(0), and (b) denotes the stationary level at first difference I(1).</p>
</table-wrap-foot>
</table-wrap>
<table-wrap position="float" id="T6">
<label>Table 6</label>
<caption><p>Cointegration tests.</p></caption>
<table frame="box" rules="all">
<thead>
<tr style="background-color:#919498;color:#ffffff">
<th valign="top" align="left"><bold>Kao test</bold></th>
<th valign="top" align="center"><bold>Statistics</bold></th>
<th valign="top" align="center"><bold>p-value</bold></th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">Modified Dickey&#x02013;Fuller t</td>
<td valign="top" align="center">&#x02212;10.230<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">0.000</td>
</tr> <tr>
<td valign="top" align="left">Dickey&#x02013;Fuller t</td>
<td valign="top" align="center">&#x02212;7.262<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">0.000</td>
</tr> <tr>
<td valign="top" align="left">Augmented Dickey&#x02013;Fuller t</td>
<td valign="top" align="center">&#x02212;2.344<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">0.009</td>
</tr> <tr>
<td valign="top" align="left">Unadjusted modified Dickey&#x02013;Fuller t</td>
<td valign="top" align="center">&#x02212;14.134<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">0.000</td>
</tr> <tr>
<td valign="top" align="left">Unadjusted Dickey&#x02013;Fuller t</td>
<td valign="top" align="center">&#x02212;7.766<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">0.000</td>
</tr></tbody>
</table>
<table-wrap-foot>
<p><sup>&#x0002A;&#x0002A;&#x0002A;</sup>describes 10% significance level.</p>
</table-wrap-foot>
</table-wrap>
<p>Before conducting the multiple regression analysis, the several diagnostic tests were employed to ensure the validity of results. Multicollinearity was assessed using the Variance Inflation Factor (VIF), with all values found to be below 10 as shown in <xref ref-type="table" rid="T7">Table 7</xref>, indicating no econometric issues (Wooldridge, <xref ref-type="bibr" rid="B76">2009</xref>). Additionally, the Breusch-Pagan/Cook-Weisberg test was conducted to check for heteroskedasticity, which can lead to an underestimation of the intercept and an overestimation of the slope coefficients (Street, <xref ref-type="bibr" rid="B68">2003</xref>). The results showed no evidence of heteroskedasticity, as the <italic>p-</italic>value was &#x0003E;0.05, confirming that the variance of the residuals was constant (<xref ref-type="table" rid="T8">Table 8</xref>). The Wooldridge test was employed to test for autocorrelation, and the results indicated its presence in the panel data, as the <italic>p</italic>-value (0.0006) was below 0.05, leading to the rejection of the null hypothesis (<xref ref-type="table" rid="T9">Table 9</xref>). To address this issue, the PMG-ARDL model and dynamic panel models were used, ensuring the autocorrelation was accounted for and reliable results were obtained.</p>
<table-wrap position="float" id="T7">
<label>Table 7</label>
<caption><p>Multicollinearity analysis test Variance Inflation Factor.</p></caption>
<table frame="box" rules="all">
<thead>
<tr style="background-color:#919498;color:#ffffff">
<th valign="top" align="left"><bold>Variable</bold></th>
<th valign="top" align="center"><bold>VIF</bold></th>
<th valign="top" align="center"><bold>1/VIF</bold></th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">LFU</td>
<td valign="top" align="center">9.46</td>
<td valign="top" align="center">0.106</td>
</tr> <tr>
<td valign="top" align="left">LAGDP</td>
<td valign="top" align="center">8.37</td>
<td valign="top" align="center">0.120</td>
</tr> <tr>
<td valign="top" align="left">LAC</td>
<td valign="top" align="center">7.42</td>
<td valign="top" align="center">0.135</td>
</tr> <tr>
<td valign="top" align="left">LTM</td>
<td valign="top" align="center">6.34</td>
<td valign="top" align="center">0.158</td>
</tr> <tr>
<td valign="top" align="left">LPU</td>
<td valign="top" align="center">5.36</td>
<td valign="top" align="center">0.187</td>
</tr> <tr>
<td valign="top" align="left">LAW</td>
<td valign="top" align="center">3.61</td>
<td valign="top" align="center">0.277</td>
</tr> <tr>
<td valign="top" align="left">LCP</td>
<td valign="top" align="center">2.4</td>
<td valign="top" align="center">0.416</td>
</tr> <tr>
<td valign="top" align="left">Mean VIF</td>
<td valign="top" align="center">6.14</td>
<td/>
</tr></tbody>
</table>
</table-wrap>
<table-wrap position="float" id="T8">
<label>Table 8</label>
<caption><p>Breusch-Pagan/Cook-Weisberg test for heteroscedasticity.</p></caption>
<table frame="box" rules="all">
<thead>
<tr style="background-color:#919498;color:#ffffff">
<th valign="top" align="left"><bold>H<sub>0</sub></bold></th>
<th valign="top" align="center"><bold>Constant variance</bold></th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">Variables</td>
<td valign="top" align="center">Fitted values of LCE</td>
</tr> <tr>
<td valign="top" align="left">&#x003C7;<sup>2</sup>(1)</td>
<td valign="top" align="center">1.07</td>
</tr> <tr>
<td valign="top" align="left"><italic>Probability</italic>&#x0003E; &#x003C7;<sup>2</sup></td>
<td valign="top" align="center">0.3008</td>
</tr></tbody>
</table>
</table-wrap>
<table-wrap position="float" id="T9">
<label>Table 9</label>
<caption><p>Wooldridge test for autocorrelation.</p></caption>
<table frame="box" rules="all">
<thead>
<tr style="background-color:#919498;color:#ffffff">
<th valign="top" align="left"><bold>H<sub>0</sub></bold></th>
<th valign="top" align="center"><bold>No autocorrelation</bold></th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">Degrees of freedom (1, 5)</td>
<td valign="top" align="center">60.976</td>
</tr> <tr>
<td valign="top" align="left">Probability</td>
<td valign="top" align="center">0.0006</td>
</tr></tbody>
</table>
</table-wrap></sec>
<sec>
<title>4.2 Discussion</title>
<p><xref ref-type="table" rid="T10">Table 10</xref> presents the PMG-ARDL results, which show that the use of fertilizers, agricultural water, and agricultural credit significantly contribute the increase in CO<sub>2</sub> emissions over the long term. Specifically, a one-unit increase in fertilizer use, agricultural water consumption, and agricultural credit corresponds to increases in CO<sub>2</sub> emissions of 1.49, 1.23, and 0.47 units, respectively, in the long run. It is important to note that the effects of fertilizer and agricultural water usage are more substantial compared to other variables in the model. In contrast, corn production, pesticide use, temperature, and agricultural GDP show a negative relationship with CO<sub>2</sub> emissions in the long term. Additionally, agricultural water use and agricultural credit positively impact CO<sub>2</sub> emissions significantly, while corn productivity also correlates positively with CO<sub>2</sub> emissions. In the short term, increases in corn production, fertilizer use, and agricultural GDP each contribute to significant environmental degradation, resulting in respective increases in CO<sub>2</sub> emissions of 10%, 17%, and 10%, respectively. Furthermore, the Error Correction Term (ECT) is notably negative, which indicates strong support for the model&#x00027;s validity. This suggests that the model adjusts quickly toward equilibrium, with an adjustment speed of 15%. This rapid adjustment underscores the model&#x00027;s effectiveness in reflecting short-term deviations from long-term equilibrium.</p>
<table-wrap position="float" id="T10">
<label>Table 10</label>
<caption><p>PMG-ARDL results.</p></caption>
<table frame="box" rules="all">
<thead>
<tr style="background-color:#919498;color:#ffffff">
<th valign="top" align="left"><bold>Variables</bold></th>
<th valign="top" align="center"><bold>Coefficient</bold></th>
<th valign="top" align="center"><bold>Std. err</bold>.</th>
<th valign="top" align="center"><bold><italic>z</italic>-statistics</bold></th>
<th valign="top" align="center"><bold><italic>p</italic>-value</bold></th>
</tr>
</thead>
<tbody>
<tr style="background-color:#dee1e1">
<td valign="top" align="left" colspan="5"><italic><bold>Long run effects</bold></italic></td>
</tr> <tr>
<td valign="top" align="left">LCP</td>
<td valign="top" align="center">&#x02212;0.712<sup>&#x0002A;</sup></td>
<td valign="top" align="center">0.307</td>
<td valign="top" align="center">&#x02212;2.320</td>
<td valign="top" align="center">0.020</td>
</tr> <tr>
<td valign="top" align="left">LPU</td>
<td valign="top" align="center">&#x02212;0.410<sup>&#x0002A;</sup></td>
<td valign="top" align="center">0.234</td>
<td valign="top" align="center">&#x02212;1.750</td>
<td valign="top" align="center">0.079</td>
</tr> <tr>
<td valign="top" align="left">LFU</td>
<td valign="top" align="center">1.493<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">0.377</td>
<td valign="top" align="center">3.960</td>
<td valign="top" align="center">0.000</td>
</tr> <tr>
<td valign="top" align="left">LAW</td>
<td valign="top" align="center">1.239<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">0.300</td>
<td valign="top" align="center">4.130</td>
<td valign="top" align="center">0.000</td>
</tr> <tr>
<td valign="top" align="left">LAC</td>
<td valign="top" align="center">0.474<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">0.059</td>
<td valign="top" align="center">8.030</td>
<td valign="top" align="center">0.000</td>
</tr> <tr>
<td valign="top" align="left">LTM</td>
<td valign="top" align="center">&#x02212;3.218<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">0.788</td>
<td valign="top" align="center">&#x02212;4.090</td>
<td valign="top" align="center">0.000</td>
</tr> <tr>
<td valign="top" align="left">LAGDP</td>
<td valign="top" align="center">&#x02212;0.191</td>
<td valign="top" align="center">0.139</td>
<td valign="top" align="center">&#x02212;1.380</td>
<td valign="top" align="center">0.168</td>
</tr> <tr style="background-color:#dee1e1">
<td valign="top" align="left" colspan="5"><italic><bold>Short run effects</bold></italic></td>
</tr> <tr>
<td valign="top" align="left">LCP</td>
<td valign="top" align="center">0.101</td>
<td valign="top" align="center">0.067</td>
<td valign="top" align="center">1.510</td>
<td valign="top" align="center">0.131</td>
</tr> <tr>
<td valign="top" align="left">LPU</td>
<td valign="top" align="center">&#x02212;0.032</td>
<td valign="top" align="center">0.250</td>
<td valign="top" align="center">&#x02212;0.130</td>
<td valign="top" align="center">0.898</td>
</tr> <tr>
<td valign="top" align="left">LFU</td>
<td valign="top" align="center">0.171</td>
<td valign="top" align="center">0.456</td>
<td valign="top" align="center">0.370</td>
<td valign="top" align="center">0.708</td>
</tr> <tr>
<td valign="top" align="left">LAW</td>
<td valign="top" align="center">&#x02212;0.113</td>
<td valign="top" align="center">0.101</td>
<td valign="top" align="center">&#x02212;1.120</td>
<td valign="top" align="center">0.262</td>
</tr> <tr>
<td valign="top" align="left">LAC</td>
<td valign="top" align="center">&#x02212;0.035</td>
<td valign="top" align="center">0.053</td>
<td valign="top" align="center">&#x02212;0.650</td>
<td valign="top" align="center">0.513</td>
</tr> <tr>
<td valign="top" align="left">LTM</td>
<td valign="top" align="center">0.073</td>
<td valign="top" align="center">0.119</td>
<td valign="top" align="center">0.610</td>
<td valign="top" align="center">0.541</td>
</tr> <tr>
<td valign="top" align="left">LAGDP</td>
<td valign="top" align="center">0.101</td>
<td valign="top" align="center">0.094</td>
<td valign="top" align="center">1.080</td>
<td valign="top" align="center">0.282</td>
</tr> <tr>
<td valign="top" align="left">ECT</td>
<td valign="top" align="center">&#x02212;0.146<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">0.042</td>
<td valign="top" align="center">&#x02212;3.510</td>
<td valign="top" align="center">0.000</td>
</tr> <tr>
<td valign="top" align="left">Constant</td>
<td valign="top" align="center">1.076<sup>&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">0.322</td>
<td valign="top" align="center">3.340</td>
<td valign="top" align="center">0.001</td>
</tr></tbody>
</table>
<table-wrap-foot>
<p><sup>&#x0002A;</sup>, <sup>&#x0002A;&#x0002A;</sup>, <sup>&#x0002A;&#x0002A;&#x0002A;</sup>describes 1%, 5%, and 10% significance level.</p>
</table-wrap-foot>
</table-wrap>
<p>The findings from <xref ref-type="table" rid="T11">Table 11</xref> display the PMG-ARDL short-term analysis results across provinces (the long-term results remain same as shown in <xref ref-type="table" rid="T10">Table 10</xref>). In the short term, corn production notably increases CO<sub>2</sub> emissions in Henan and Sichuan provinces, which are major corn-producing regions with high pesticide use and agricultural water consumption, both contributing to increased emissions. In contrast, in Heilongjiang province, corn production has a negative impact on CO<sub>2</sub> emissions. This difference may be attributed to factors such as urbanization in Northeast China, which has led to a shift of rural laborers to non-agricultural sectors. This shift has promoted increased mechanization in agriculture, enhancing agricultural efficiency and potentially reducing carbon emissions associated with inputs like pesticides and fertilizers. The flat terrain of the Heilongjiang Plain, along with its high level of mechanization in grain production, may also help mitigate emissions. Furthermore, fertilizer usage significantly contributes to increased CO<sub>2</sub> emissions in both Heilongjiang and Sichuan provinces. Agricultural water consumption drives CO<sub>2</sub> emissions in Hubei and Sichuan, while agricultural credit is linked to higher emissions in Heilongjiang and Hubei. Changes in temperature due to climate change generally raise carbon emissions across all examined provinces, except Hubei. Agricultural GDP is positively correlated with carbon emissions in all provinces, except Shandong and Sichuan. Additionally, <xref ref-type="fig" rid="F6">Figures 6</xref>, <xref ref-type="fig" rid="F7">7</xref> illustrate trends in pesticide use, fertilizer use, agricultural water consumption, agricultural credit, a temperature, and agricultural GDP over the period 1990 to 2022 across the studied provinces. <xref ref-type="fig" rid="F8">Figure 8</xref> illustrates the annual corn production in six major corn-producing provinces in the study from 1990 to around 2022. The trends suggest that most provinces have experienced overall growth in corn production over the past few decades, with varying degrees of stability or slight declines after reaching peak levels in recent years. Differences in peak times and fluctuations among provinces may be due to factors such as regional climate conditions, government policies, technological advancements, and investment in agricultural infrastructure. <xref ref-type="fig" rid="F9">Figure 9</xref> illustrates the share of CO<sub>2</sub> emissions by sector in the world and China. The power sector is the largest contributor, accounting for 57% of total emissions, industrial sector at 26% and agricultural sector contribute to 1% share in total carbon emissions from energy use in China in 2022 (Statista, <xref ref-type="bibr" rid="B67">2024</xref>). Globally, the power sector contributes 28% of total emissions, industrial sector at 23% and agricultural sector contribute to 17% share in total carbon emissions (IEA, <xref ref-type="bibr" rid="B30">2022</xref>).</p>
<table-wrap position="float" id="T11">
<label>Table 11</label>
<caption><p>Short-run results of PMG-ARDL analysis across the provinces.</p></caption>
<table frame="box" rules="all">
<thead>
<tr style="background-color:#919498;color:#ffffff">
<th valign="top" align="left"><bold>Variables</bold></th>
<th valign="top" align="center"><bold>Hebei</bold></th>
<th valign="top" align="center"><bold>Heilongjiang</bold></th>
<th valign="top" align="center"><bold>Henan</bold></th>
<th valign="top" align="center"><bold>Hubei</bold></th>
<th valign="top" align="center"><bold>Shandong</bold></th>
<th valign="top" align="center"><bold>Sichuan</bold></th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">LCP</td>
<td valign="top" align="center">&#x02212;0.017 (0.087)</td>
<td valign="top" align="center">&#x02212;0.134<sup>&#x0002A;</sup> (0.067)</td>
<td valign="top" align="center">0.240<sup>&#x0002A;&#x0002A;&#x0002A;</sup> (0.067)</td>
<td valign="top" align="center">0.034 (0.148)</td>
<td valign="top" align="center">0.207 (0.132)</td>
<td valign="top" align="center">0.277<sup>&#x0002A;</sup> (0.163)</td>
</tr> <tr>
<td valign="top" align="left">LPU</td>
<td valign="top" align="center">0.000 (0.110)</td>
<td valign="top" align="center">&#x02212;0.032 (0.071)</td>
<td valign="top" align="center">0.703<sup>&#x0002A;&#x0002A;&#x0002A;</sup> (0.168)</td>
<td valign="top" align="center">0.223<sup>&#x0002A;</sup> (0.123)</td>
<td valign="top" align="center">0.068 (0.046)</td>
<td valign="top" align="center">&#x02212;1.155<sup>&#x0002A;&#x0002A;</sup> (0.381)</td>
</tr> <tr>
<td valign="top" align="left">LFU</td>
<td valign="top" align="center">&#x02212;0.317<sup>&#x0002A;</sup> (0.157)</td>
<td valign="top" align="center">0.500<sup>&#x0002A;</sup> (0.280)</td>
<td valign="top" align="center">&#x02212;0.344 (0.302)</td>
<td valign="top" align="center">&#x02212;0.699<sup>&#x0002A;</sup> (0.392)</td>
<td valign="top" align="center">&#x02212;0.414 (0.334)</td>
<td valign="top" align="center">2.298<sup>&#x0002A;&#x0002A;&#x0002A;</sup> (0.578)</td>
</tr> <tr>
<td valign="top" align="left">LAW</td>
<td valign="top" align="center">0.057 (0.149)</td>
<td valign="top" align="center">&#x02212;0.280 (0.274)</td>
<td valign="top" align="center">&#x02212;0.360<sup>&#x0002A;</sup> (0.093)</td>
<td valign="top" align="center">0.226 (0.195)</td>
<td valign="top" align="center">&#x02212;0.347 (0.413)</td>
<td valign="top" align="center">0.024 (0.422)</td>
</tr> <tr>
<td valign="top" align="left">LAC</td>
<td valign="top" align="center">&#x02212;0.022 (0.021)</td>
<td valign="top" align="center">0.122 (0.077)</td>
<td valign="top" align="center">&#x02212;0.227<sup>&#x0002A;</sup> (0.093)</td>
<td valign="top" align="center">0.083 (0.074)</td>
<td valign="top" align="center">&#x02212;0.035 (0.146)</td>
<td valign="top" align="center">&#x02212;0.128 (0.116)</td>
</tr> <tr>
<td valign="top" align="left">LTM</td>
<td valign="top" align="center">0.100 (0.149)</td>
<td valign="top" align="center">0.000 (0.031)</td>
<td valign="top" align="center">0.390<sup>&#x0002A;</sup> (0.203)</td>
<td valign="top" align="center">&#x02212;0.438 (0.375)</td>
<td valign="top" align="center">0.315 (0.437)</td>
<td valign="top" align="center">0.070 (0.227)</td>
</tr> <tr>
<td valign="top" align="left">LAGDP</td>
<td valign="top" align="center">0.001 (0.071)</td>
<td valign="top" align="center">0.075 (0.079)</td>
<td valign="top" align="center">0.259<sup>&#x0002A;&#x0002A;</sup> (0.077)</td>
<td valign="top" align="center">0.469<sup>&#x0002A;&#x0002A;</sup> (0.170)</td>
<td valign="top" align="center">&#x02212;0.008 (0.185)</td>
<td valign="top" align="center">&#x02212;0.187 (0.228)</td>
</tr> <tr>
<td valign="top" align="left">ECT</td>
<td valign="top" align="center">&#x02212;0.193<sup>&#x0002A;&#x0002A;&#x0002A;</sup> (0.042)</td>
<td valign="top" align="center">&#x02212;0.003 (0.011)</td>
<td valign="top" align="center">&#x02212;0.264<sup>&#x0002A;&#x0002A;&#x0002A;</sup> (0.043)</td>
<td valign="top" align="center">&#x02212;0.224<sup>&#x0002A;&#x0002A;</sup> (0.070)</td>
<td valign="top" align="center">&#x02212;0.144<sup>&#x0002A;&#x0002A;&#x0002A;</sup> (0.038)</td>
<td valign="top" align="center">&#x02212;0.050 (0.047)</td>
</tr> <tr>
<td valign="top" align="left">Constant</td>
<td valign="top" align="center">1.232<sup>&#x0002A;</sup> (0.518)</td>
<td valign="top" align="center">0.012 (0.032)</td>
<td valign="top" align="center">2.071<sup>&#x0002A;&#x0002A;</sup> (0.705)</td>
<td valign="top" align="center">1.641<sup>&#x0002A;</sup> (0.794)</td>
<td valign="top" align="center">1.221<sup>&#x0002A;</sup> (0.492)</td>
<td valign="top" align="center">0.280 (0.259)</td>
</tr></tbody>
</table>
<table-wrap-foot>
<p><sup>&#x0002A;</sup>, <sup>&#x0002A;&#x0002A;</sup>, <sup>&#x0002A;&#x0002A;&#x0002A;</sup>describes 1%, 5% and 10% significance level.</p>
</table-wrap-foot>
</table-wrap>
<fig id="F6" position="float">
<label>Figure 6</label>
<caption><p>Patterns of pesticide use, fertilizer use, and agricultural water consumption in major agricultural provinces of China from 1990 to 2022. The red color represents the annual pesticide use (tons), the green color represents the annual fertilizer use (ten thousand tons), and the purple color represents the annual agricultural water use (hundred million cubic meters). Darker shades indicate higher levels of use in each category across three periods: 1990&#x02013;2000, 2001&#x02013;2010, and 2011&#x02013;2022.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fsufs-08-1492262-g0006.tif"/>
</fig>
<fig id="F7" position="float">
<label>Figure 7</label>
<caption><p>Patterns of agricultural credit use, agricultural GDP, and annual mean temperature in major agricultural provinces of China from 1990 to 2022. The green color represents the annual agricultural credit use (Ten Thousand Yuan) and agricultural GDP (Hundred million Yuan), while the red color represents the annual mean temperature (degrees Celsius). Darker shades indicate higher values of credit, GDP, and temperature across three periods: 1990&#x02013;2000, 2001&#x02013;2010, and 2011&#x02013;2022.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fsufs-08-1492262-g0007.tif"/>
</fig>
<fig id="F8" position="float">
<label>Figure 8</label>
<caption><p>Spatial trends in corn production from 1990&#x02013;2022 (source: authors calculation).</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fsufs-08-1492262-g0008.tif"/>
</fig>
<fig id="F9" position="float">
<label>Figure 9</label>
<caption><p>CO<sub>2</sub> emissions by sectors: China and global, 2022 (Statista, <xref ref-type="bibr" rid="B67">2024</xref>; IEA, <xref ref-type="bibr" rid="B30">2022</xref>).</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fsufs-08-1492262-g0009.tif"/>
</fig>
<p>To ensure the robustness of our findings, we conducted a panel quantile regression analysis as shown in <xref ref-type="table" rid="T12">Table 12</xref>. The results indicate that corn production negatively affects CO<sub>2</sub> emissions. In contrast, fertilizer use, agricultural credit, and agricultural water consumption have statistically significant and positive impacts on carbon emissions, supporting the findings from the PMG-ARDL model (<xref ref-type="table" rid="T10">Table 10</xref>). Providing financial assistance to farmers appears to encourage the adoption of modern agricultural practices, which can enhance crop yields but also increase carbon emissions. Our results thus suggest a strong link between agricultural financing and carbon emissions. Additionally, the interaction between temperature and agricultural GDP was found to have a negative impact on carbon emissions, consistent with the PMG-ARDL model. To further evaluate data reliability, we applied a Panel Least Squares regression analysis (<xref ref-type="table" rid="T13">Table 13</xref>). The findings confirm that carbon emissions are significantly influenced by corn production, agricultural credit, and fertilizer use. Temperature has a negative effect on carbon emissions, while agricultural GDP contributes positively. The R-squared value indicates that approximately 48% of the variation in carbon emissions can be explained by the model&#x00027;s explanatory variables. The research underscores the complex relationship between environmental quality and corn production, with a particular focus on carbon emissions. Our findings indicate a long-term negative relationship between CO<sub>2</sub> emissions and corn production. However, the long-term increase in carbon emissions is significantly driven by the use of fertilizers, agricultural water, and agricultural credit. The results from the PMG-ARDL model (<xref ref-type="table" rid="T10">Table 10</xref>) align with those from the Panel Quantile Regression (<xref ref-type="table" rid="T12">Table 12</xref>) and Panel Least Squares (<xref ref-type="table" rid="T13">Table 13</xref>), all of which show strong positive correlations between agricultural loans, fertilizers use, agricultural water use, and carbon emissions.</p>
<table-wrap position="float" id="T12">
<label>Table 12</label>
<caption><p>Panel Quantile regression.</p></caption>
<table frame="box" rules="all">
<thead>
<tr style="background-color:#919498;color:#ffffff">
<th valign="top" align="left"><bold>Variables</bold></th>
<th valign="top" align="center"><bold>Coefficient</bold></th>
<th valign="top" align="center"><bold>Std. err</bold>.</th>
<th valign="top" align="center"><bold>z-statistics</bold></th>
<th valign="top" align="center"><bold>p-value</bold></th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">LCP</td>
<td valign="top" align="center">&#x02212;0.256<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">0.020</td>
<td valign="top" align="center">&#x02212;12.960</td>
<td valign="top" align="center">0.000</td>
</tr> <tr>
<td valign="top" align="left">LPU</td>
<td valign="top" align="center">&#x02212;0.587<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">0.013</td>
<td valign="top" align="center">&#x02212;45.770</td>
<td valign="top" align="center">0.000</td>
</tr> <tr>
<td valign="top" align="left">LFU</td>
<td valign="top" align="center">1.281<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">0.055</td>
<td valign="top" align="center">23.410</td>
<td valign="top" align="center">0.000</td>
</tr> <tr>
<td valign="top" align="left">LAW</td>
<td valign="top" align="center">0.855<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">0.062</td>
<td valign="top" align="center">13.870</td>
<td valign="top" align="center">0.000</td>
</tr> <tr>
<td valign="top" align="left">LAC</td>
<td valign="top" align="center">0.193<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">0.012</td>
<td valign="top" align="center">15.450</td>
<td valign="top" align="center">0.000</td>
</tr> <tr>
<td valign="top" align="left">LTM</td>
<td valign="top" align="center">&#x02212;0.160<sup>&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">0.051</td>
<td valign="top" align="center">&#x02212;3.120</td>
<td valign="top" align="center">0.002</td>
</tr> <tr>
<td valign="top" align="left">LAGDP</td>
<td valign="top" align="center">&#x02212;0.012</td>
<td valign="top" align="center">0.020</td>
<td valign="top" align="center">&#x02212;0.580</td>
<td valign="top" align="center">0.561</td>
</tr></tbody>
</table>
<table-wrap-foot>
<p><sup>&#x0002A;&#x0002A;</sup>, <sup>&#x0002A;&#x0002A;&#x0002A;</sup>describes 5% and 10% significance level, respectively.</p>
</table-wrap-foot>
</table-wrap>
<table-wrap position="float" id="T13">
<label>Table 13</label>
<caption><p>Panel least square regression.</p></caption>
<table frame="box" rules="all">
<thead>
<tr style="background-color:#919498;color:#ffffff">
<th valign="top" align="left"><bold>Variables</bold></th>
<th valign="top" align="center"><bold>Coefficient</bold></th>
<th valign="top" align="center"><bold>Std. err</bold>.</th>
<th valign="top" align="center"><bold>t-value</bold></th>
<th valign="top" align="center"><bold>p-value</bold></th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">LCP</td>
<td valign="top" align="center">0.172</td>
<td valign="top" align="center">0.108</td>
<td valign="top" align="center">1.580</td>
<td valign="top" align="center">0.115</td>
</tr> <tr>
<td valign="top" align="left">LPU</td>
<td valign="top" align="center">&#x02212;0.127</td>
<td valign="top" align="center">0.083</td>
<td valign="top" align="center">&#x02212;1.540</td>
<td valign="top" align="center">0.125</td>
</tr> <tr>
<td valign="top" align="left">LFU</td>
<td valign="top" align="center">0.358<sup>&#x0002A;</sup></td>
<td valign="top" align="center">0.180</td>
<td valign="top" align="center">1.990</td>
<td valign="top" align="center">0.048</td>
</tr> <tr>
<td valign="top" align="left">LAW</td>
<td valign="top" align="center">&#x02212;0.170</td>
<td valign="top" align="center">0.155</td>
<td valign="top" align="center">&#x02212;1.100</td>
<td valign="top" align="center">0.272</td>
</tr> <tr>
<td valign="top" align="left">LAC</td>
<td valign="top" align="center">0.268<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">0.036</td>
<td valign="top" align="center">7.380</td>
<td valign="top" align="center">0.000</td>
</tr> <tr>
<td valign="top" align="left">LTM</td>
<td valign="top" align="center">&#x02212;0.258<sup>&#x0002A;</sup></td>
<td valign="top" align="center">0.137</td>
<td valign="top" align="center">&#x02212;1.880</td>
<td valign="top" align="center">0.062</td>
</tr> <tr>
<td valign="top" align="left">LAGDP</td>
<td valign="top" align="center">0.029</td>
<td valign="top" align="center">0.062</td>
<td valign="top" align="center">0.470</td>
<td valign="top" align="center">0.641</td>
</tr> <tr>
<td valign="top" align="left">Constant</td>
<td valign="top" align="center">5.799<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">0.704</td>
<td valign="top" align="center">8.230</td>
<td valign="top" align="center">0.000</td>
</tr> <tr>
<td valign="top" align="left"><italic>R</italic>2</td>
<td valign="top" align="center">0.48</td>
<td/>
<td/>
<td/>
</tr> <tr>
<td valign="top" align="left">F-statistics value</td>
<td valign="top" align="center">44.32</td>
<td/>
<td/>
<td/>
</tr> <tr>
<td valign="top" align="left">Probability</td>
<td valign="top" align="center">0.000</td>
<td/>
<td/>
<td/>
</tr> <tr>
<td valign="top" align="left">Sigma_u</td>
<td valign="top" align="center">0.443</td>
<td/>
<td/>
<td/>
</tr> <tr>
<td valign="top" align="left">Sigma_e</td>
<td valign="top" align="center">0.226</td>
<td/>
<td/>
<td/>
</tr> <tr>
<td valign="top" align="left">rho (fraction of variance due to u_i)</td>
<td valign="top" align="center">0.793</td>
<td/>
<td/>
<td/>
</tr></tbody>
</table>
<table-wrap-foot>
<p><sup>&#x0002A;</sup>, <sup>&#x0002A;&#x0002A;&#x0002A;</sup>describes 1% and 10% significance level.</p>
</table-wrap-foot>
</table-wrap>
<p>The results of this study, as shown in <xref ref-type="table" rid="T10">Table 10</xref>, provide key insights into the long-term and short-term impacts of corn production and various agricultural inputs on CO<sub>2</sub> emissions in China&#x00027;s major corn-producing provinces. In the long run, corn production shows a negative impact on CO<sub>2</sub> emissions, suggesting that increased corn production over time is associated with a reduction in CO<sub>2</sub> emissions. This finding aligns with Zhang et al. (<xref ref-type="bibr" rid="B86">2022</xref>), who reported that agricultural intensification, through higher crop yields, can lead to more efficient resource use, thereby lowering agriculture&#x00027;s carbon footprint. However, this negative relationship differs from the findings of Ullah et al. (<xref ref-type="bibr" rid="B71">2021</xref>), who observed a positive correlation between corn production and CO<sub>2</sub> emissions, attributing it to the high input demands of modern corn farming, such as fertilizers and irrigation. This discrepancy may arise from differences in the scope and scale of the studies; while Ullah et al. (<xref ref-type="bibr" rid="B71">2021</xref>) focused on short-term impacts in specific regions, our study takes long-term perspective, potentially capturing the benefits of technological advancements and improved farming practices that reduce emissions over time. Additionally, regional variation in agricultural practices and policies may contribute to these contrasting findings.</p>
<p>The positive and significant effect of fertilizer use on CO<sub>2</sub> emissions aligns with the findings of Rehman et al. (<xref ref-type="bibr" rid="B58">2019</xref>), who highlighted that the extensive use of nitrogen-based fertilizers significantly contributes to CO<sub>2</sub> emissions due to both the production processes of these fertilizers and their application in the field. Similarly, Shao (<xref ref-type="bibr" rid="B62">2024</xref>) emphasized that fertilizer use is a major contributor to agricultural CO<sub>2</sub> emissions globally and advocated for more efficient fertilizer use to mitigate these emissions. While several research have investigated the effects of crop productivity and irrigated land area (Zhai et al., <xref ref-type="bibr" rid="B84">2017</xref>; Pickson et al., <xref ref-type="bibr" rid="B56">2021</xref>; Zhang et al., <xref ref-type="bibr" rid="B86">2022</xref>), fewer studies have explored the relationship between carbon emissions, water energy consumption, and water energy management (Anser et al., <xref ref-type="bibr" rid="B4">2020</xref>; Wang et al., <xref ref-type="bibr" rid="B75">2020</xref>). The link between agricultural water usage and carbon emissions, specifically in terms of quantity, remains underexplored. Our research on agricultural water use indicates a significant positive influence on carbon emissions, consistent with Rehman et al. (<xref ref-type="bibr" rid="B59">2020</xref>), suggesting that excessive irrigation, combined with fertilizer use, increases atmospheric evaporation, contributing to long-term carbon emissions. Our analysis shows a positive correlation between agricultural credit and carbon emissions. Agricultural water use similarly exhibits a positive and significant impact on CO<sub>2</sub> emissions. This result aligns with Li and Yin (<xref ref-type="bibr" rid="B38">2024</xref>), who found that irrigation practices, especially in water-scarce regions, contribute significantly to CO<sub>2</sub> emissions due to the energy required for pumping and distribution. Inefficient water management practices exacerbate these emissions in China&#x00027;s agricultural sector, a finding echoed by Anser et al. (<xref ref-type="bibr" rid="B4">2020</xref>), who recommended more sustainable water use in agriculture. Agricultural credit has a significant and positive impact on CO<sub>2</sub> emissions in the long run, supporting Koondhar et al. (<xref ref-type="bibr" rid="B36">2021a</xref>), who reported that increased access to agricultural credit often results in higher CO<sub>2</sub> emissions due to the expansion of high-input farming practices. Onyeneke et al. (<xref ref-type="bibr" rid="B50">2024</xref>) also found that agricultural credit enables farmers to invest in more intensive practices, which, while increasing productivity, also heightens emissions. However, our results suggest a stronger relationship between agricultural credit and CO<sub>2</sub> emissions than reported in other studies. This may be due to the specific nature of corn production in the studied provinces, where credit may is often used to finance the purchase of fertilizers, pesticides, and irrigation equipment-all of which contributing to higher emissions.</p>
<p>The negative impact of temperature on CO<sub>2</sub> emissions contrasts with the general expectation that higher temperatures lead to increased emissions. Demirhan (<xref ref-type="bibr" rid="B13">2020</xref>) found that rising temperatures often increase the use of water and energy for cooling in agriculture, and his finding suggest that, in the long run, high temperatures could be associated with the adaptation of less energy-intensive farming practices or shifts in crop types requiring fewer inputs. This counterintuitive result might also reflect the specific climatic conditions of the regions studied, where rising temperatures may reduce the need for energy-intensive practices like heating or might prompt a shift to less resource-intensive crops or farming methods. This underscores the complexity of the relationship between climate variables and CO<sub>2</sub> emissions and highlights the importance of regional studies to fully understand these dynamics.</p>
<p>The agricultural GDP does not have a significant impact on CO<sub>2</sub> emissions in the long run. This finding is somewhat surprising, as Huang et al. (<xref ref-type="bibr" rid="B29">2019</xref>) found a positive relationship between agricultural GDP growth and CO<sub>2</sub> emissions, attributing it to the expansion of high-input agricultural practices. Some scholars have highlighted the decoupling effect between agricultural GDP and carbon emissions, suggesting that increases in agricultural value-added have limited long-term impacts on emissions due to enhanced efficiency and reduced energy dependency (Ghosh et al., <xref ref-type="bibr" rid="B25">2023</xref>; Amin and Rahman, <xref ref-type="bibr" rid="B3">2024</xref>). Additionally, some studies report that agricultural growth can reduce carbon emissions (Mahmood et al., <xref ref-type="bibr" rid="B44">2019</xref>; Samargandi, <xref ref-type="bibr" rid="B61">2017</xref>). Cole et al. (<xref ref-type="bibr" rid="B10">1997</xref>) found that technological advancements in agriculture have led to a 32% reduction in CO<sub>2</sub> emissions. Zaharani et al. (<xref ref-type="bibr" rid="B83">2011</xref>) investigated that modern agricultural strategies such as efficient water use may contribute to a safe and sustainable environment. Conversely, Ullah et al. (<xref ref-type="bibr" rid="B71">2021</xref>) showed that agricultural value-added negatively impacts carbon emissions, while Waheed et al. (<xref ref-type="bibr" rid="B72">2018</xref>) identified agriculture as a significant source of CO<sub>2</sub> emissions. Wang and Zhang (<xref ref-type="bibr" rid="B74">2021</xref>) suggested that increases in agricultural GDP might also enable investments in more sustainable practices, potentially mitigating emissions. The lack of a significant relationship in this study could indicate China&#x00027;s agricultural policies have promoted sustainable practices (e.g., crop rotation, conservation tillage, and integrated pest management) that help reduce greenhouse gas (GHG) emissions even as productivity increases (Zou et al., <xref ref-type="bibr" rid="B89">2024</xref>; Yang et al., <xref ref-type="bibr" rid="B80">2014</xref>). Furthermore, technological advancements and the adoption of precision agriculture have enabled Chinese farmers to use inputs more efficiently. For instance, modern irrigation systems and optimized fertilizer application reduce CO<sub>2</sub> emissions, mitigating the environmental impact typically associated with agricultural growth (Ma et al., <xref ref-type="bibr" rid="B43">2024b</xref>; Chen et al., <xref ref-type="bibr" rid="B7">2024</xref>; Long et al., <xref ref-type="bibr" rid="B41">2018</xref>). Moreover, government support for renewable energy in agriculture, including solar-powered irrigation and bioenergy from agricultural waste, has also played a key role in reducing carbon emissions (Zhu and Huo, <xref ref-type="bibr" rid="B88">2022</xref>). Ecological methods such as Integrated Rice-Animal Farming (IRF) with fish and ducks have not only reduced the need for fertilizers and pesticides but also helped preserve environmental diversity in China (Yifan et al., <xref ref-type="bibr" rid="B82">2023</xref>). Diversified cropping systems, efficient fertilizer use, intensified crop rotations, and integrated practices increase agricultural productivity while lowering carbon footprints (Cheng et al., <xref ref-type="bibr" rid="B9">2011</xref>). Yang et al. (<xref ref-type="bibr" rid="B79">2022</xref>) found that the trend in agricultural carbon emissions shifted from increasing to continuously decreasing after 2015 at the national level, mainly due to improvements in major grain-producing areas. They concluded that advancements in agricultural infrastructure and human capital have positively contributed to agricultural eco-efficiency growth. This finding suggests that economic growth in agriculture does not automatically translate into higher emissions but rather depends on the nature of the growth and the types of practices it supports.</p>
<p>The Dumitrescu and Hurlin (<xref ref-type="bibr" rid="B15">2012</xref>) approach indicates causal relationships among variables (<xref ref-type="table" rid="T14">Table 14</xref>). The findings reveal significant unidirectional and bidirectional causal links between the variables. Unidirectional causation is observed between carbon emissions and pesticide use, carbon emissions and temperature, and carbon emissions and agricultural GDP. Additionally, a bidirectional causal relationship exists between carbon emissions and several other variables, including corn production, fertilizer application, agricultural water usage, and agricultural credit.</p>
<table-wrap position="float" id="T14">
<label>Table 14</label>
<caption><p>Pairwise Dumitrescu and Hurlin panel causality test.</p></caption>
<table frame="box" rules="all">
<thead>
<tr style="background-color:#919498;color:#ffffff">
<th valign="top" align="left"><bold>Null hypothesis</bold></th>
<th valign="top" align="center"><bold>W-bar</bold></th>
<th valign="top" align="center"><bold>Z-bar</bold></th>
<th valign="top" align="center"><bold>p-value</bold></th>
<th valign="top" align="center"><bold>Causation relationship</bold></th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">LCE &#x02192; LCP</td>
<td valign="top" align="center">3.541<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">4.401</td>
<td valign="top" align="center">0.000</td>
<td valign="top" align="center">Bidirectional causation</td>
</tr> <tr>
<td valign="top" align="left">LCP &#x02192; LCE</td>
<td valign="top" align="center">8.242<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">12.544</td>
<td valign="top" align="center">0.000</td>
<td/>
</tr> <tr>
<td valign="top" align="left">LCE &#x02192; LPU</td>
<td valign="top" align="center">3.044<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">3.540</td>
<td valign="top" align="center">0.000</td>
<td valign="top" align="center">Unidirectional causation</td>
</tr> <tr>
<td valign="top" align="left">LPU &#x02192; LCE</td>
<td valign="top" align="center">0.653</td>
<td valign="top" align="center">&#x02212;0.599</td>
<td valign="top" align="center">0.548</td>
<td/>
</tr> <tr>
<td valign="top" align="left">LCE &#x02192; LFU</td>
<td valign="top" align="center">3.279<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">3.937</td>
<td valign="top" align="center">0.000</td>
<td valign="top" align="center">Bidirectional l causation</td>
</tr> <tr>
<td valign="top" align="left">LFU &#x02192; LCE</td>
<td valign="top" align="center">3.887<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">5.001</td>
<td valign="top" align="center">0.000</td>
<td/>
</tr> <tr>
<td valign="top" align="left">LCE &#x02192; LAW</td>
<td valign="top" align="center">4.471<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">6.013</td>
<td valign="top" align="center">0.000</td>
<td valign="top" align="center">Bidirectional causation</td>
</tr> <tr>
<td valign="top" align="left">LAW &#x02192; LCE</td>
<td valign="top" align="center">4.705<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">6.417</td>
<td valign="top" align="center">0.000</td>
<td/>
</tr> <tr>
<td valign="top" align="left">LCE &#x02192; LAC</td>
<td valign="top" align="center">2.587<sup>&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">2.748</td>
<td valign="top" align="center">0.006</td>
<td valign="top" align="center">Bidirectional causation</td>
</tr> <tr>
<td valign="top" align="left">LAC &#x02192; LCE</td>
<td valign="top" align="center">2.011<sup>&#x0002A;</sup></td>
<td valign="top" align="center">1.752</td>
<td valign="top" align="center">0.079</td>
<td/>
</tr> <tr>
<td valign="top" align="left">LCE &#x02192; LTM</td>
<td valign="top" align="center">0.776</td>
<td valign="top" align="center">&#x02212;0.387</td>
<td valign="top" align="center">0.698</td>
<td valign="top" align="center">Unidirectional causation</td>
</tr> <tr>
<td valign="top" align="left">LTM &#x02192; LCE</td>
<td valign="top" align="center">3.719<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">4.709</td>
<td valign="top" align="center">0.000</td>
<td/>
</tr> <tr>
<td valign="top" align="left">LCE &#x02192; LAGDP</td>
<td valign="top" align="center">0.877</td>
<td valign="top" align="center">&#x02212;0.211</td>
<td valign="top" align="center">0.832</td>
<td valign="top" align="center">Unidirectional causation</td>
</tr> <tr>
<td valign="top" align="left">LAGDP &#x02192; LCE</td>
<td valign="top" align="center">5.219<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">7.308</td>
<td valign="top" align="center">0.000</td>
<td/>
</tr></tbody>
</table>
<table-wrap-foot>
<p><sup>&#x0002A;</sup>, <sup>&#x0002A;&#x0002A;</sup>, <sup>&#x0002A;&#x0002A;&#x0002A;</sup>describes 1%, 5%, and 10% significance level.</p>
</table-wrap-foot>
</table-wrap>
</sec></sec>
<sec id="s5">
<title>5 Conclusions</title>
<p>This study uses panel datasets from 1990 to 2022 to investigate the impact of corn production on carbon emissions in China. The study employs several rigorous econometric methods to ensure robust results. The findings reveal a negative long-term relationship between corn production and CO<sub>2</sub> emissions in the long term. The influencing factors, such as fertilizer use, agricultural water use, and access to credit have positive and significant impact on carbon emissions in the long term. Agricultural credit plays a critical role in shaping carbon emissions by enabling high-input farming practices, leading to increased use of fertilizers, pesticides, and irrigation equipment. Notably, temperature has a strong negative impact, likely reflecting the role of climate change in shaping resource demand and efficiency. Agricultural GDP does not significantly impact carbon emissions in the long run, possibly due to the adoption of sustainable farming practices. Causality analysis reveals unidirectional causality between carbon emissions and factors like pesticide use, temperature, and agricultural GDP, as well as bidirectional causality with corn production, fertilizer use, agricultural water use, and agricultural credit use. Future research could examine how sustainable farming practices, such as organic and precision agriculture, reduce carbon emissions. It could also investigate the role of policies, subsidies, and renewable energy in agriculture. Expanding the geographic scope to diverse agricultural settings and integrating agronomy, climate science, and socio-economic analysis would provide broader and deeper insights into factors influencing CO<sub>2</sub> emissions globally.</p></sec>
</body>
<back>
<sec sec-type="data-availability" id="s6">
<title>Data availability statement</title>
<p>The datasets presented in this study can be found in online repositories. The names of the repository/repositories and accession number(s) can be found in the article/<xref ref-type="supplementary-material" rid="SM1">Supplementary material</xref>.</p>
</sec>
<sec sec-type="author-contributions" id="s7">
<title>Author contributions</title>
<p>YZ: Data curation, Funding acquisition, Writing &#x02013; original draft, Writing &#x02013; review &#x00026; editing, Conceptualization, Formal analysis, Investigation, Methodology. MA: Conceptualization, Formal analysis, Investigation, Methodology, Resources, Software, Supervision, Validation, Writing &#x02013; original draft, Writing &#x02013; review &#x00026; editing. QS: Funding acquisition, Resources, Supervision, Writing &#x02013; review &#x00026; editing, Validation. MB: Formal analysis, Validation, Writing &#x02013; review &#x00026; editing. CZ: Formal analysis, Funding acquisition, Writing &#x02013; review &#x00026; editing. HM: Funding acquisition, Resources, Supervision, Writing &#x02013; review &#x00026; editing, Methodology, Validation.</p>
</sec>
<sec sec-type="funding-information" id="s8">
<title>Funding</title>
<p>The author(s) declare financial support was received for the research, authorship, and/or publication of this article. This research was funded by the National Natural Science Foundation of China (Grant No. 72103054); the China Postdoctoral Science Foundation (Grant No. 2021T140181); the National Natural Science Foundation of China (Grant Number: 72003057); the National Social Science Fund of China: Research on the Practical Logic, Driving Mechanism, and Collaborative Optimization of Dual Governance of Collective Economic Organizations in Traditional Agricultural Areas (Grant No: 22BJY179); the Henan Province Philosophy and Social Sciences Planning Project: Research on the Internal Logic and Realization Path of High-Quality Farmers innovation and Entrepreneurship under the background of Rural Revitalization (2023BJJ086); the Postgraduate Education Reform and Quality Improvement Project of Henan Province (YJS2025SZ05); and the Henan Province Higher Education Teaching Reform Research and Practice Project (Grant No. 2021SJGLX094).</p>
</sec>
<sec sec-type="COI-statement" id="conf1">
<title>Conflict of interest</title>
<p>The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec sec-type="disclaimer" id="s9">
<title>Publisher&#x00027;s note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
<sec sec-type="supplementary-material" id="s10">
<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/fsufs.2024.1492262/full#supplementary-material">https://www.frontiersin.org/articles/10.3389/fsufs.2024.1492262/full#supplementary-material</ext-link></p>
<supplementary-material xlink:href="Data_Sheet_1.zip" id="SM1" mimetype="application/zip" xmlns:xlink="http://www.w3.org/1999/xlink"/></sec>
<fn-group>
<fn id="fn0001"><p><sup>1</sup>The study uses panel data from 1990 to 2022 instead of extending to 2023 or 2024, due to inherent delays in data publication in China. Data for China&#x00027;s statistical yearbooks are compiled through multiple administrative layers, beginning at the county level, then aggregated to the city, province, and finally national levels. This multi-level process causes a delay in releasing the latest data. For example, the 2023 China statistical yearbook, which includes data for 2022, is expected to be published in 2024. As this study was organized in late 2023, it relies on the most recent available provincial data up to 2022, ensuring that the analysis was conducted using the latest reliable information at the time.</p></fn>
</fn-group>
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