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<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Mar. Sci.</journal-id>
<journal-title-group>
<journal-title>Frontiers in Marine Science</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Mar. Sci.</abbrev-journal-title>
</journal-title-group>
<issn pub-type="epub">2296-7745</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
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<article-meta>
<article-id pub-id-type="doi">10.3389/fmars.2026.1753767</article-id>
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<article-categories>
<subj-group subj-group-type="heading">
<subject>Original Research</subject>
</subj-group>
</article-categories>
<title-group>
<article-title>Research on the nonlinear impact of heterogeneous environmental regulations on marine carbon sink performance</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name><surname>Ye</surname><given-names>Fang</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
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<contrib contrib-type="author">
<name><surname>Sun</surname><given-names>Xiaodong</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>Shen</surname><given-names>Jiaqiang</given-names></name>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
<xref ref-type="corresp" rid="c001"><sup>*</sup></xref>
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<aff id="aff1"><label>1</label><institution>School of Economics and Management, Zhejiang Ocean University</institution>, <city>Zhoushan</city>,&#xa0;<country country="cn">China</country></aff>
<aff id="aff2"><label>2</label><institution>School of Marxism, Zhejiang Pharmaceutical University</institution>, <city>Ningbo</city>,&#xa0;<country country="cn">China</country></aff>
<author-notes>
<corresp id="c001"><label>*</label>Correspondence: Jiaqiang Shen, <email xlink:href="mailto:yelu071315@163.com">yelu071315@163.com</email></corresp>
</author-notes>
<pub-date publication-format="electronic" date-type="pub" iso-8601-date="2026-02-20">
<day>20</day>
<month>02</month>
<year>2026</year>
</pub-date>
<pub-date publication-format="electronic" date-type="collection">
<year>2026</year>
</pub-date>
<volume>13</volume>
<elocation-id>1753767</elocation-id>
<history>
<date date-type="received">
<day>25</day>
<month>11</month>
<year>2025</year>
</date>
<date date-type="accepted">
<day>26</day>
<month>01</month>
<year>2026</year>
</date>
<date date-type="rev-recd">
<day>17</day>
<month>01</month>
<year>2026</year>
</date>
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<permissions>
<copyright-statement>Copyright &#xa9; 2026 Ye, Sun and Shen.</copyright-statement>
<copyright-year>2026</copyright-year>
<copyright-holder>Ye, Sun and Shen</copyright-holder>
<license>
<ali:license_ref start_date="2026-02-20">https://creativecommons.org/licenses/by/4.0/</ali:license_ref>
<license-p>This is an open-access article distributed under the terms of the <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">Creative Commons Attribution License (CC BY)</ext-link>. 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.</license-p>
</license>
</permissions>
<abstract>
<p>In the context of addressing climate change and advancing &#x201c;carbon neutrality,&#x201d; enhancing marine carbon sink capacity has become a national strategy for many countries. Scientifically evaluating marine carbon sink performance and its driving mechanisms is crucial for optimizing marine environmental governance. This paper employs the Super-SBM model to measure the marine carbon sink performance of 11 coastal provinces (municipalities and autonomous regions) in China from 2008 to 2022, and empirically examines the nonlinear impact of heterogeneous environmental regulations, as well as the mediating mechanisms of technological innovation and industrial upgrading. The results show that: Firstly, China&#x2019;s marine carbon sink performance has generally improved, but regional development is uneven. Secondly, command-and-control and market-incentive environmental regulations exhibit an &#x201c;inverted U-shaped&#x201d; relationship with performance, while social-supervised environmental regulations show a &#x201c;U-shaped&#x201d; relationship, indicating that there is an optimal intensity range for regulatory effects. Finally, technological innovation and industrial upgrading are important transmission pathways through which environmental regulations affect carbon sink performance. The research findings provide theoretical references and empirical evidence for governments to develop differentiated and diversified environmental regulation policy portfolios aimed at enhancing marine carbon sink capacity.</p>
</abstract>
<kwd-group>
<kwd>heterogeneous environmental regulations</kwd>
<kwd>industrial upgrading</kwd>
<kwd>marine carbon sink</kwd>
<kwd>marine carbon sink performance</kwd>
<kwd>technological innovation</kwd>
</kwd-group>
<funding-group>
<funding-statement>The author(s) declared that financial support was not received for this work and/or its publication.</funding-statement>
</funding-group>
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<fig-count count="4"/>
<table-count count="10"/>
<equation-count count="5"/>
<ref-count count="39"/>
<page-count count="16"/>
<word-count count="9385"/>
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<custom-meta-group>
<custom-meta>
<meta-name>section-at-acceptance</meta-name>
<meta-value>Solutions for Ocean and Coastal Systems</meta-value>
</custom-meta>
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</front>
<body>
<sec id="s1" sec-type="intro">
<label>1</label>
<title>Introduction</title>
<p>Against the dual backdrop of intensifying global climate change and the advancement of &#x201c;carbon neutrality&#x201d; goals, the ocean&#x2014;as the largest and most active carbon sink in the Earth&#x2019;s system&#x2014;has seen its carbon sequestration potential and ecological service functions become core issues in international climate governance and marine ecological conservation. The IPCC Sixth Assessment Report highlights that the ocean absorbs approximately 23%&#x2013;33% of annual anthropogenic CO<sub>2</sub> emissions (<xref ref-type="bibr" rid="B21">Wei and Wang, 2024</xref>), playing an irreplaceable and critical role in regulating the global carbon cycle and mitigating global warming (<xref ref-type="bibr" rid="B5">Gruber et&#xa0;al., 2023</xref>; <xref ref-type="bibr" rid="B38">Zhou et&#xa0;al., 2024</xref>). Enhancing marine carbon sink capacity is not only a crucial pathway for achieving long-term temperature control targets but also essential for safeguarding marine ecological integrity, conserving biodiversity, and advancing sustainable development in coastal regions (<xref ref-type="bibr" rid="B14">Rickels et&#xa0;al., 2024</xref>).</p>
<p>&#x201c;Marine carbon sink performance,&#x201d; as a core indicator for measuring the efficiency of human policy interventions and management efforts in enhancing ocean carbon sequestration, comprehensively reflects the effectiveness of a region or country in marine ecological protection, low-carbon industrial transformation, and blue governance capacity building. However, improving marine carbon sink performance does not solely rely on the natural carbon sequestration capacity of ecosystems but is also profoundly influenced by the approaches of human policy interventions. Environmental regulation, as a key policy tool for governments to address environmental externalities (<xref ref-type="bibr" rid="B12">Mbanyele and Wang, 2022</xref>) and guide the environmental behavior of economic entities, directly determines the development efficiency and sustainability of marine carbon sink functions through its type selection, intensity setting, and implementation pathways. Therefore, systematically analyzing the driving mechanisms of heterogeneous environmental regulations on marine carbon sink performance and clarifying the operational patterns of different types of policy tools is of great theoretical value and practical significance for optimizing marine environmental governance systems and supporting the achievement of the &#x201c;dual carbon&#x201d; goals (<xref ref-type="bibr" rid="B36">Zhang and Lin, 2022</xref>).</p>
<p>China, as a major maritime nation, possesses a long coastline and vast jurisdictional waters, abundant marine carbon sink resources, and a robust endowment. Steadily enhancing marine carbon sink capacity and improving the ocean&#x2019;s ability to respond and adapt to climate change have become crucial components of the national strategy. In recent years, the Chinese government has been progressively establishing a diversified institutional system for marine ecological civilization, comprehensively utilizing various types of environmental regulation tools to strengthen marine environmental protection and ecological restoration (<xref ref-type="bibr" rid="B36">Zhang and Lin, 2022</xref>). In terms of command-and-control regulations, a strict marine ecological redline system has been implemented, total pollutant discharge control in key sea areas has been strengthened, and financial investment in marine ecological restoration has been continuously increased. Regarding market-incentive regulations, tools such as differentiated collection of sea area use fees, marine ecological compensation mechanisms, and blue bonds are being explored to guide marine-related entities towards green transformation through economic leverage. For social-supervised environmental regulations, the marine environmental information disclosure system has been improved, public participation channels and public interest litigation pathways have been unblocked, enhancing the transparency and level of multi-stakeholder co-governance in marine environmental governance. These policy practices have significantly improved the quality of marine ecosystems (<xref ref-type="bibr" rid="B23">Xu, 2022</xref>). However, challenges persist, including imbalanced regulatory intensity across regions, insufficient policy coordination, and incomplete long-term mechanisms. The actual contribution of these measures to marine carbon sink performance still requires further clarification through scientific assessment.</p>
<p>Academic research on the relationship between environmental regulation and carbon performance has yielded numerous findings, but most focus on the impact of marine environmental regulation on the marine economy or the assessment of carbon performance in the industrial sector. Literature specifically targeting marine carbon sink performance and delving into its impact mechanisms remains relatively scarce. On one hand, most studies concentrate on the macro-level effects of marine environmental regulation on technological innovation, industrial structure upgrading, or marine economic performance. For instance, research by <xref ref-type="bibr" rid="B20">Wang et&#xa0;al. (2023)</xref> found a &#x201c;U-shaped&#x201d; relationship between marine environmental regulation and marine carbon efficiency, suggesting that marine environmental regulation can indirectly promote marine carbon efficiency through transmission mechanisms like resource allocation efficiency and optimization of the marine industrial structure. <xref ref-type="bibr" rid="B2">Cheng and Chen (2021)</xref>, using an evolutionary game model, proposed that marine carbon sinks could promote economic growth through green technology and carbon taxes by 2030. <xref ref-type="bibr" rid="B15">Sun et&#xa0;al. (2023)</xref> argued that heterogeneous environmental regulations can affect the green development of the marine economy through marine industrial structure adjustment and technological innovation changes. <xref ref-type="bibr" rid="B13">Ren and Ji (2021)</xref> suggested that environmental regulations impact the sustainable development of the marine economy through technological innovation, and whether the &#x201c;compensation effect&#x201d; or the &#x201c;offset effect&#x201d; dominates depends on the technological grade. Other scholars have focused on the impact mechanism of environmental regulation on carbon neutrality performance. Research by <xref ref-type="bibr" rid="B35">Zheng et&#xa0;al. (2025)</xref> found that the impact of environmental regulation on carbon neutrality performance initially inhibits and then promotes, with green technological innovation playing a partial mediating role between environmental regulation and carbon neutrality performance. On the other hand, research on carbon performance mostly unfolds at the provincial or industry level and primarily focuses on carbon emission performance rather than carbon sink performance. For example, <xref ref-type="bibr" rid="B1">Chen et&#xa0;al. (2022)</xref> analyzed the impact of urban density on spatial carbon performance using Shanghai as a case study. <xref ref-type="bibr" rid="B11">Liu et&#xa0;al. (2023)</xref> explored the enhancing effect of the digital economy on urban carbon performance. <xref ref-type="bibr" rid="B29">Yu and Guo (2025)</xref> studied the impact of industrial integration on the carbon performance of manufacturing enterprises. <xref ref-type="bibr" rid="B18">Wang et&#xa0;al. (2025)</xref> argued that carbon emission reduction targets enhance carbon performance by promoting two capabilities: resource reconfiguration and organizational learning. <xref ref-type="bibr" rid="B28">Yu et&#xa0;al. (2021)</xref> used the synthetic control method to evaluate the impact effect of the carbon trading mechanism on the carbon performance level of pilot provinces and cities. These studies provide valuable references for understanding the economic and environmental effects of environmental regulations, but they still have three main limitations: First, there is a lack of research specifically targeting the carbon sink performance of the ocean as a special ecosystem, casting doubt on the applicability of relevant conclusions in the marine context. Second, most literature builds models based on linear assumptions, neglecting the potential &#x201c;threshold effects&#x201d; or &#x201c;nonlinear impacts&#x201d; of environmental regulations, making it difficult to capture the complex relationship between policy intensity and performance. Third, the &#x201c;black box&#x201d; of how environmental regulations affect marine carbon sink performance through mediating mechanisms has not been fully opened, lacking a systematic theoretical framework and empirical testing.</p>
<p>Based on the aforementioned practical and theoretical background, this paper utilizes panel data from 11 coastal provinces (municipalities, autonomous regions) from 2008 to 2022. It comprehensively employs panel regression, U-test, and mediation effect models to systematically examine the nonlinear impact mechanism of heterogeneous environmental regulations on marine carbon sink performance. From the dual perspectives of &#x201c;technological innovation&#x201d; and &#x201c;industrial structure upgrading,&#x201d; it reveals the mediating roles and practical pathways. The marginal contributions of this paper are mainly reflected in three aspects: First, in terms of assessment methodology, it uses the Super-SBM model to scientifically measure the marine carbon sink performance of China&#x2019;s coastal areas from 2008 to 2022, overcoming the limitation of traditional DEA models being unable to distinguish the efficiency levels of effective units, thus providing a more refined measurement basis for marine carbon sink efficiency research. Second, in terms of theoretical mechanism, it breaks through the linear relationship assumption of existing studies, empirically testing the nonlinear relationship between three types of environmental regulation tools&#x2014;&#x201d;command-and-control,&#x201d; &#x201c;market-incentive,&#x201d; and &#x201c;public-participation&#x201d;&#x2014;and marine carbon sink performance, thereby more comprehensively revealing the complex correlation between policy intensity and performance. Third, regarding transmission mechanisms, by constructing a mediation effect model, it identifies the transmission role of technological innovation and industrial upgrading in the process where heterogeneous environmental regulations affect marine carbon sink performance, thus clarifying the pathway of &#x201c;policy tools &#x2192; mediating mechanisms &#x2192; carbon sink performance,&#x201d; providing a theoretical basis and empirical support for the government to design differentiated and refined marine environmental policies.</p>
<p>The structure of the paper is as follows: The second part conducts theoretical analysis and proposes research hypotheses; the third part is the research design, including model specification, variable selection, and data source description; the fourth part presents the calculation results of marine carbon sink performance and its spatiotemporal evolution characteristics, as well as the baseline regression results of heterogeneous environmental regulations and marine carbon sink performance, heterogeneity analysis, and robustness checks; the fifth part further discusses the mediating effects of technological innovation and industrial upgrading; finally, the research conclusions and discussion are provided.</p>
</sec>
<sec id="s2">
<label>2</label>
<title>Theoretical analysis and research hypotheses</title>
<sec id="s2_1">
<label>2.1</label>
<title>The nonlinear impact of heterogeneous environmental regulations on marine carbon sink performance</title>
<p>As a core policy tool for governments to correct environmental externalities and address market failures, environmental regulations profoundly influence marine carbon sink performance through multiple pathways. Based on externality theory, marine carbon sinks possess typical public good attributes and positive externality characteristics. The ecological value generated by their carbon sequestration function cannot be fully quantified or compensated through market mechanisms, leading to a lack of motivation among marine-related entities to proactively enhance marine carbon sink capacity. This results in market failure in the allocation of resources for marine carbon sinks (<xref ref-type="bibr" rid="B25">Yang and Shen, 2024</xref>). Environmental regulations internalize the external effects of marine carbon sinks through mandatory constraints, economic incentives, and social guidance measures, optimizing the environmental behavior decisions of marine-related entities and providing institutional guarantees for improving marine carbon sink performance.</p>
<p>Depending on the mechanisms and implementation pathways of regulatory tools, environmental regulations can be categorized into three types: command-and-control, market-based incentives, and social-supervised environmental regulation (<xref ref-type="bibr" rid="B26">Ye et&#xa0;al., 2022</xref>). Due to significant differences in the constraint intensity, operational carriers, and incentive logic of these three types of regulatory tools, their impact on marine carbon sink performance is not linear but exhibits a nonlinear characteristic of &#x201c;intensity threshold dependence.&#x201d;</p>
<sec id="s2_1_1">
<label>2.1.1</label>
<title>The relationship between command-and-control environmental regulations and marine carbon sink performance</title>
<p>Command-and-control environmental regulations, centered on government administrative authority, directly constrain the environmental behavior of marine-related entities through measures such as establishing mandatory standards, implementing administrative permits (e.g., marine discharge permits), and issuing bans (e.g., fishing moratoriums) (<xref ref-type="bibr" rid="B6">Hu et&#xa0;al., 2024</xref>). During the phase of moderate regulatory intensity, the &#x201c;constraint effect&#x201d; dominates: by setting clear compliance baselines, these regulations quickly curb highly polluting activities of marine enterprises (such as direct discharge of aquaculture wastewater and ship oil spills), reduce human interference in marine ecosystems, and create foundational conditions for the restoration of carbon sink ecosystems like mangroves and seagrass beds, thereby promoting the improvement of marine carbon sink performance.</p>
<p>However, according to the &#x201c;law of diminishing marginal utility&#x201d; and &#x201c;compliance cost theory,&#x201d; when the intensity of command-and-control regulations exceeds the optimal threshold, their &#x201c;rigidity&#x201d; drawbacks gradually become apparent and produce negative effects. On one hand, excessively high compliance costs (e.g., marine enterprises purchasing pollution treatment equipment) may divert resources away from research and development in marine environmental protection technologies (<xref ref-type="bibr" rid="B34">Zhao and Luo, 2024</xref>). On the other hand, overly detailed administrative directives may rigidify the production models of marine-related entities, suppressing the market&#x2019;s efficiency in optimizing the allocation of marine carbon sink resources (<xref ref-type="bibr" rid="B8">Li et&#xa0;al., 2025</xref>), ultimately hindering marine carbon sink performance. Based on this, the following hypothesis is proposed:</p>
<p>H1a: Command-and-control environmental regulations exhibit an inverted U-shaped relationship with marine carbon sink performance.</p>
</sec>
<sec id="s2_1_2">
<label>2.1.2</label>
<title>The relationship between market-based incentive environmental regulations and marine carbon sink performance</title>
<p>Market-based incentive environmental regulations utilize market mechanisms and economic instruments (such as differentiated marine area usage fees, marine carbon sink subsidies, and blue bonds) to internalize environmental costs, guiding marine-related entities to voluntarily adopt environmentally friendly behaviors (<xref ref-type="bibr" rid="B16">Sun et&#xa0;al., 2024</xref>; <xref ref-type="bibr" rid="B9">Li et&#xa0;al., 2024</xref>). In the initial stage of low regulatory intensity, the &#x201c;price signal effect&#x201d; and &#x201c;innovation compensation effect&#x201d; are significant: appropriate economic incentives effectively motivate marine-related entities to seek low-cost emission reduction pathways, promoting the development of low-carbon technologies (such as marine carbon capture technology and carbon sequestration technologies in ecological aquaculture) and directing resource flows toward the marine carbon sink industry. This directly enhances the carbon sequestration capacity of marine ecosystems, thereby improving marine carbon sink performance.</p>
<p>However, according to the theories of &#x201c;policy arbitrage&#x201d; and &#x201c;resource misallocation,&#x201d; when the intensity of market-based incentive regulations exceeds a reasonable range, negative &#x201c;crowding-out effects&#x201d; begin to emerge. Excessive subsidies may induce &#x201c;policy arbitrage&#x201d; behaviors among marine-related entities (such as fabricating the scale of marine carbon sink projects to obtain subsidies), leading to the diversion of incentive resources to non-substantive carbon sink activities. On the other hand, excessively high environmental taxes (such as surcharges on marine discharge taxes) may distort market signals, increase operational costs for marine enterprises, and divert funding from marine carbon sink projects (such as coral reef ecological restoration), ultimately suppressing the improvement of marine carbon sink performance (<xref ref-type="bibr" rid="B32">Zhang and Qiao, 2021</xref>). Based on this, the following hypothesis is proposed:</p>
<p>H1b: Market-based incentive environmental regulations exhibit an inverted U-shaped relationship with marine carbon sink performance.</p>
</sec>
<sec id="s2_1_3">
<label>2.1.3</label>
<title>The relationship between social-supervised environmental regulations and marine carbon sink performance</title>
<p>Social-supervised environmental regulations rely on public participation, media, environmental organizations, and other social forces to constrain marine-related entities through informal means such as environmental information disclosure, public opinion supervision, and public interest litigation (<xref ref-type="bibr" rid="B22">Xing et&#xa0;al., 2022</xref>). In the initial stage, due to information asymmetry, limited public awareness of marine environmental protection, and corporate &#x201c;greenwashing&#x201d; practices, the &#x201c;reputation mechanism&#x201d; of social supervision struggles to function effectively. It may even slightly inhibit marine carbon sink performance by increasing the costs for marine-related enterprises to respond to public pressure, exhibiting characteristics of &#x201c;low-efficiency initiation.&#x201d;</p>
<p>As societal environmental awareness grows, transparency of marine environmental information improves, and supervision systems mature (e.g., amplified by new internet media), social-supervised environmental regulations enter an effective phase: the &#x201c;reputation mechanism&#x201d; and &#x201c;self-monitoring effect&#x201d; are significantly enhanced. To maintain social legitimacy and brand reputation, marine-related entities proactively fulfill their marine environmental responsibilities, implement substantive marine carbon sink actions (<xref ref-type="bibr" rid="B27">Ye et&#xa0;al., 2021</xref>), and drive continuous improvement in marine carbon sink performance, demonstrating characteristics of &#x201c;late-stage accelerated enhancement.&#x201d; Based on this, the following hypothesis is proposed:</p>
<p>H1c: Social-supervised environmental regulations exhibit a U-shaped relationship with marine carbon sink performance.</p>
</sec>
</sec>
<sec id="s2_2">
<label>2.2</label>
<title>Mediating effects of technological innovation and industrial upgrading</title>
<p>The &#x201c;Porter Hypothesis&#x201d; provides a core theoretical foundation for understanding the medium-to-long-term economic impacts of environmental regulations, positing that well-designed environmental regulations can stimulate an &#x201c;innovation compensation&#x201d; effect that not only offsets compliance costs but may even enhance the competitiveness of enterprises or industries (<xref ref-type="bibr" rid="B19">Wang et&#xa0;al., 2021</xref>). This paper extends this theoretical framework to the marine carbon sink domain, examining the crucial mediating roles of technological innovation and industrial structure upgrading in the process through which heterogeneous environmental regulations influence marine carbon sink performance.</p>
<sec id="s2_2_1">
<label>2.2.1</label>
<title>The mediating role of technological innovation</title>
<p>Environmental regulations drive technological innovation by altering the cost-benefit expectations of enterprises. Firstly, the mandatory standards of command-and-control regulations directly compel coastal enterprises to invest resources in the research and development of pollution control technologies and clean production technologies to meet compliance requirements, thereby reducing the discharge of substandard wastewater into the ocean. Secondly, market-based incentive regulations change the relative prices of production factors (e.g., by increasing marine area usage costs or providing green technology subsidies), offering clear economic incentives for coastal enterprises to engage in low-carbon technological innovation. This enables them to reduce environmental compliance costs and seek new market opportunities through independent technological innovation (<xref ref-type="bibr" rid="B33">Zhang and Yao, 2018</xref>). Social-supervised environmental regulations shape the social image and reputation capital of coastal enterprises, stimulating their initiative for green technological innovation from&#xa0;the&#xa0;demand side in response to consumer and public environmental concerns.</p>
<p>However, this incentive effect is not linear. According to resource constraint theory, excessively high regulatory intensity may inhibit innovation vitality by diverting corporate R&amp;D funds and increasing uncertainty (<xref ref-type="bibr" rid="B31">Zhang, 2019</xref>). Simultaneously, the impact of different regulatory tools on technological innovation varies: command-and-control regulations may tend to promote &#x201c;end-of-pipe treatment technology&#x201d; innovation, while market-based incentive regulations are more likely to stimulate &#x201c;clean production process&#x201d; innovation (<xref ref-type="bibr" rid="B3">Dong et&#xa0;al., 2019</xref>). These technological innovations ultimately contribute to the improvement of marine carbon sink performance by enhancing resource utilization efficiency and reducing pollutant discharge into the ocean. Therefore, heterogeneous environmental regulations are likely to exert a nonlinear influence on technological innovation, which in turn nonlinearly affects marine carbon sink performance. Based on this, the following hypothesis is proposed:</p>
<p>H2: Technological innovation plays a mediating role between heterogeneous environmental regulations and marine carbon sink performance, and this mediating pathway is subject to nonlinear influences.</p>
</sec>
<sec id="s2_2_2">
<label>2.2.2</label>
<title>The mediating role of industrial structure upgrading</title>
<p>Industrial structure upgrading serves as another crucial pathway through which environmental regulations affect ecological performance. According to industrial structure theory, environmental regulations promote the transition of industrial structure towards greening and advanced development by altering the relative returns and factor allocation across different industries (<xref ref-type="bibr" rid="B10">Liu and Chen, 2022</xref>). Command-and-control regulations directly phase out backward production capacities with high pollution and energy consumption (such as traditional extensive fishing and coastal polluting industries), thereby creating development space for modern marine industries characterized by high technological content and low environmental impact (e.g., marine renewable energy, high-end tourism, and ecological aquaculture). This drives a &#x201c;passive upgrading&#x201d; of the industrial structure (<xref ref-type="bibr" rid="B27">Ye et&#xa0;al., 2021</xref>; <xref ref-type="bibr" rid="B20">Wang et&#xa0;al., 2023</xref>).</p>
<p>Market-based incentive regulations, by changing the relative profitability of different industries, guide production factors to spontaneously flow from traditional sectors to green sectors, inducing an &#x201c;active upgrading&#x201d; of the industrial structure (<xref ref-type="bibr" rid="B37">Zheng et&#xa0;al., 2021</xref>). The differentiated collection of sea area usage fees can encourage efficient and sustainable utilization of marine spatial resources. Social-supervised environmental regulations, through influencing consumers&#x2019; green preferences and investors&#x2019; ESG (environmental, social, and governance) assessments, promote the green transformation of marine industries from both the demand side and the capital supply side.</p>
<p>Simultaneously, the process of marine industrial structure upgrading exhibits significant &#x201c;structural inertia&#x201d; and &#x201c;transformation thresholds.&#x201d; According to path dependence theory, adjustments in industrial structure require overcoming existing technological trajectories and institutional arrangements, leading to a nonlinear impact of environmental regulations (<xref ref-type="bibr" rid="B39">Zhu et&#xa0;al., 2024</xref>). Only when regulatory intensity reaches a certain threshold can fundamentally changes in marine industrial structure be triggered. The advancement and greening of the marine industrial structure signify an overall improvement in marine resource utilization efficiency and ecological benefits, thereby directly enhancing marine carbon sink performance.</p>
</sec>
</sec>
</sec>
<sec id="s3">
<label>3</label>
<title>Research design</title>
<sec id="s3_1">
<label>3.1</label>
<title>Model specification</title>
<p>To examine the nonlinear impact of heterogeneous environmental regulations on marine carbon sink performance, this study tests Hypothesis 1 by incorporating the quadratic term of the environmental regulation variable, constructing the regression model shown in <xref ref-type="disp-formula" rid="eq1">Equation 1</xref>:</p>
<disp-formula id="eq1"><label>(1)</label>
<mml:math display="block" id="M1"><mml:mrow><mml:mi>M</mml:mi><mml:mi>C</mml:mi><mml:mi>S</mml:mi><mml:msub><mml:mtext>P</mml:mtext><mml:mrow><mml:mi>i</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>&#x3b1;</mml:mi><mml:mn>0</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>&#x3b1;</mml:mi><mml:mn>1</mml:mn></mml:msub><mml:mi>E</mml:mi><mml:msub><mml:mi>R</mml:mi><mml:mi>t</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>&#x3b1;</mml:mi><mml:mn>2</mml:mn></mml:msub><mml:mi>E</mml:mi><mml:msubsup><mml:mi>R</mml:mi><mml:mi>t</mml:mi><mml:mn>2</mml:mn></mml:msubsup><mml:mo>+</mml:mo><mml:msub><mml:mi>&#x3b1;</mml:mi><mml:mn>2</mml:mn></mml:msub><mml:mi>C</mml:mi><mml:mi>o</mml:mi><mml:mi>n</mml:mi><mml:mi>t</mml:mi><mml:mi>r</mml:mi><mml:mi>o</mml:mi><mml:mi>l</mml:mi><mml:msub><mml:mi>s</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>&#x3bb;</mml:mi><mml:mi>t</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>&#x3b4;</mml:mi><mml:mi>t</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>&#x3f5;</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>In the equation, <inline-formula>
<mml:math display="inline" id="im1"><mml:mrow><mml:mi>M</mml:mi><mml:mi>C</mml:mi><mml:mi>S</mml:mi><mml:msub><mml:mi>E</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> represents marine carbon sink performance, <inline-formula>
<mml:math display="inline" id="im2"><mml:mrow><mml:mi>E</mml:mi><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> denotes heterogeneous environmental regulations (specifically command-and-control, market-based incentive, and social-supervised environmental regulations), <inline-formula>
<mml:math display="inline" id="im3"><mml:mrow><mml:mi>E</mml:mi><mml:msubsup><mml:mi>R</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>t</mml:mi></mml:mrow><mml:mn>2</mml:mn></mml:msubsup></mml:mrow></mml:math></inline-formula> is the quadratic term of heterogeneous environmental regulations, <inline-formula>
<mml:math display="inline" id="im4"><mml:mrow><mml:mi>C</mml:mi><mml:mi>o</mml:mi><mml:mi>n</mml:mi><mml:mi>t</mml:mi><mml:mi>r</mml:mi><mml:mi>o</mml:mi><mml:mi>l</mml:mi><mml:msub><mml:mi>s</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> Controls it &#x200b; represents the control variables,( <inline-formula>
<mml:math display="inline" id="im5"><mml:mrow><mml:msub><mml:mi>&#x3bb;</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>)&#x3001;( <inline-formula>
<mml:math display="inline" id="im6"><mml:mrow><mml:msub><mml:mi>&#x3b4;</mml:mi><mml:mi>t</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) denote province fixed effects and year fixed effects respectively, subscripts <inline-formula>
<mml:math display="inline" id="im7"><mml:mtext>i</mml:mtext></mml:math></inline-formula> and <inline-formula>
<mml:math display="inline" id="im8"><mml:mtext>t</mml:mtext></mml:math></inline-formula> indicate province and year, and <inline-formula>
<mml:math display="inline" id="im9"><mml:mrow><mml:msub><mml:mi>&#x3f5;</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> is the random error term.</p>
<p>To test the mediating effects of marine technological innovation and industrial structure upgrading, this study constructs the following mediation effect models to examine Hypotheses 2 and 3:</p>
<disp-formula id="eq2"><label>(2)</label>
<mml:math display="block" id="M2"><mml:mrow><mml:mi>M</mml:mi><mml:mi>T</mml:mi><mml:msub><mml:mi>I</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>&#x3b2;</mml:mi><mml:mn>0</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>&#x3b2;</mml:mi><mml:mn>1</mml:mn></mml:msub><mml:mi>E</mml:mi><mml:msub><mml:mi>R</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>&#x3b2;</mml:mi><mml:mn>2</mml:mn></mml:msub><mml:mi>E</mml:mi><mml:msubsup><mml:mi>R</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>t</mml:mi></mml:mrow><mml:mn>2</mml:mn></mml:msubsup><mml:mo>+</mml:mo><mml:msub><mml:mi>&#x3b2;</mml:mi><mml:mn>3</mml:mn></mml:msub><mml:mi>C</mml:mi><mml:mi>o</mml:mi><mml:mi>n</mml:mi><mml:mi>t</mml:mi><mml:mi>r</mml:mi><mml:mi>o</mml:mi><mml:mi>l</mml:mi><mml:msub><mml:mi>s</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>&#x3bb;</mml:mi><mml:mi>t</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>&#x3b4;</mml:mi><mml:mi>t</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>&#x3f5;</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math>
</disp-formula>
<disp-formula id="eq3"><label>(3)</label>
<mml:math display="block" id="M3"><mml:mtable columnalign="left"><mml:mtr columnalign="left"><mml:mtd columnalign="left"><mml:mrow><mml:mi>M</mml:mi><mml:mi>C</mml:mi><mml:mi>S</mml:mi><mml:msub><mml:mi>E</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>&#x3b3;</mml:mi><mml:mn>0</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>&#x3b3;</mml:mi><mml:mn>1</mml:mn></mml:msub><mml:mi>E</mml:mi><mml:msub><mml:mi>R</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>&#x3b3;</mml:mi><mml:mn>2</mml:mn></mml:msub><mml:mi>E</mml:mi><mml:msubsup><mml:mi>R</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>t</mml:mi></mml:mrow><mml:mn>2</mml:mn></mml:msubsup><mml:mo>+</mml:mo><mml:msub><mml:mi>&#x3b3;</mml:mi><mml:mn>3</mml:mn></mml:msub><mml:mi>O</mml:mi><mml:mi>T</mml:mi><mml:msub><mml:mi>I</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>&#x3b3;</mml:mi><mml:mn>4</mml:mn></mml:msub><mml:mi>C</mml:mi><mml:mi>o</mml:mi><mml:mi>n</mml:mi><mml:mi>t</mml:mi><mml:mi>r</mml:mi><mml:mi>o</mml:mi><mml:mi>l</mml:mi><mml:msub><mml:mi>s</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>&#x3bb;</mml:mi><mml:mi>t</mml:mi></mml:msub></mml:mrow></mml:mtd></mml:mtr><mml:mtr columnalign="left"><mml:mtd columnalign="left">  <mml:mrow><mml:mo>+</mml:mo><mml:msub><mml:mi>&#x3b4;</mml:mi><mml:mi>t</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>&#x3f5;</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math>
</disp-formula>
<disp-formula id="eq4"><label>(4)</label>
<mml:math display="block" id="M4"><mml:mrow><mml:mi>M</mml:mi><mml:mi>I</mml:mi><mml:msub><mml:mi>U</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>&#x3c1;</mml:mi><mml:mn>0</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>&#x3c1;</mml:mi><mml:mn>1</mml:mn></mml:msub><mml:mi>E</mml:mi><mml:msub><mml:mi>R</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>&#x3c1;</mml:mi><mml:mn>2</mml:mn></mml:msub><mml:mi>E</mml:mi><mml:msubsup><mml:mi>R</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>t</mml:mi></mml:mrow><mml:mn>2</mml:mn></mml:msubsup><mml:mo>+</mml:mo><mml:msub><mml:mi>&#x3c1;</mml:mi><mml:mn>3</mml:mn></mml:msub><mml:mi>C</mml:mi><mml:mi>o</mml:mi><mml:mi>n</mml:mi><mml:mi>t</mml:mi><mml:mi>r</mml:mi><mml:mi>o</mml:mi><mml:msub><mml:mi>l</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>&#x3bb;</mml:mi><mml:mi>t</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>&#x3b4;</mml:mi><mml:mi>t</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>&#x3f5;</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math>
</disp-formula>
<disp-formula id="eq5"><label>(5)</label>
<mml:math display="block" id="M5"><mml:mtable columnalign="left"><mml:mtr columnalign="left"><mml:mtd columnalign="left"><mml:mrow><mml:mi>M</mml:mi><mml:mi>C</mml:mi><mml:mi>S</mml:mi><mml:msub><mml:mi>E</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>&#x3b1;</mml:mi><mml:mn>0</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>&#x3b1;</mml:mi><mml:mn>1</mml:mn></mml:msub><mml:mi>E</mml:mi><mml:msub><mml:mi>R</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>&#x3c9;</mml:mi><mml:mn>2</mml:mn></mml:msub><mml:mi>E</mml:mi><mml:msubsup><mml:mi>R</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>t</mml:mi></mml:mrow><mml:mn>2</mml:mn></mml:msubsup><mml:mo>+</mml:mo><mml:msub><mml:mi>&#x3c9;</mml:mi><mml:mn>3</mml:mn></mml:msub><mml:mi>O</mml:mi><mml:mi>I</mml:mi><mml:msub><mml:mi>U</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>&#x3c9;</mml:mi><mml:mn>4</mml:mn></mml:msub><mml:mi>C</mml:mi><mml:mi>o</mml:mi><mml:mi>n</mml:mi><mml:mi>t</mml:mi><mml:mi>r</mml:mi><mml:mi>o</mml:mi><mml:mi>l</mml:mi><mml:msub><mml:mi>s</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>&#x3bb;</mml:mi><mml:mi>t</mml:mi></mml:msub></mml:mrow></mml:mtd></mml:mtr><mml:mtr columnalign="left"><mml:mtd columnalign="left">  <mml:mrow><mml:mo>+</mml:mo><mml:msub><mml:mi>&#x3b4;</mml:mi><mml:mi>t</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>&#x3f5;</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math>
</disp-formula>
<p>In the equations,&#x200b; <inline-formula>
<mml:math display="inline" id="im10"><mml:mrow><mml:mi mathvariant="normal">M</mml:mi><mml:mi mathvariant="normal">T</mml:mi><mml:msub><mml:mi mathvariant="normal">I</mml:mi><mml:mrow><mml:mi mathvariant="normal">i</mml:mi><mml:mi mathvariant="normal">t</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula>
<mml:math display="inline" id="im11"><mml:mrow><mml:mi mathvariant="normal">M</mml:mi><mml:mi mathvariant="normal">I</mml:mi><mml:msub><mml:mi mathvariant="normal">U</mml:mi><mml:mrow><mml:mi mathvariant="normal">i</mml:mi><mml:mi mathvariant="normal">t</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>&#x200b; represent technological innovation and industrial upgrading, respectively. The meanings of the remaining variables are the same as above.</p>
</sec>
<sec id="s3_2">
<label>3.2</label>
<title>Variable selection</title>
<p>(1) Dependent Variable</p>
<p>Marine Carbon Sink Performance (MCSP). This study employs the Super-SBM model to evaluate the marine carbon sink performance values of 11 coastal provinces in China from 2008 to 2022. The Super-SBM model is based on the SBM model proposed by Tone in 2001. The SBM model is a Data Envelopment Analysis (DEA) method that is independent of orientation and direction, utilizing slack variables to assess efficiency and accounting for the disparities between input and output terms (<xref ref-type="bibr" rid="B17">Tone, 2001</xref>). The Super-SBM model, an improvement made by Tone in 2002 on the SBM model, allows efficiency values to be equal to or greater than 1 (<xref ref-type="bibr" rid="B7">Lee, 2022</xref>). This characteristic enables the study to avoid being limited to the Tobit model, which only handles censored data, in the regression analysis.</p>
<p>The indicator system for MCSP includes the following input indicators: land (sea area), capital investment, labor input, and marine capital stock. The output indicator is the marine carbon sink volume. This indicator is calculated based on the industry standard &#x201c;Marine Carbon Sink Accounting Method&#x201d; (HY/T 0349-2022), which estimates China&#x2019;s overall marine carbon sink capacity by accounting for the carbon sinks of marine ecosystems represented by mangroves, salt marshes, seagrass beds, phytoplankton, macroalgae, and shellfish. Specific indicators are shown in <xref ref-type="table" rid="T1"><bold>Table&#xa0;1</bold></xref>.</p>
<table-wrap id="T1" position="float">
<label>Table&#xa0;1</label>
<caption>
<p>Marine carbon sink performance indicator system.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" align="center">Indicator type</th>
<th valign="middle" align="center">Indicator name</th>
<th valign="middle" align="center">Indicator definition</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="middle" rowspan="4" align="left">Input Indicators</td>
<td valign="middle" align="left">Land Area</td>
<td valign="middle" align="left">Sum of the area of marine nature reserves and the aquaculture area of shellfish and algae.</td>
</tr>
<tr>
<td valign="middle" align="left">Capital Investment</td>
<td valign="middle" align="left">Financial expenditure on marine environmental protection.</td>
</tr>
<tr>
<td valign="middle" align="left">Labor Input</td>
<td valign="middle" align="left">Number of personnel at all levels in the marine environmental protection system.</td>
</tr>
<tr>
<td valign="middle" align="left">Marine Capital Stock</td>
<td valign="middle" align="left">Marine capital stock for the current year calculated using the perpetual inventory method.</td>
</tr>
<tr>
<td valign="middle" align="left">Output Indicator</td>
<td valign="middle" align="left">Marine Carbon Sink Volume</td>
<td valign="middle" align="left">Annual marine carbon sink volume.</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>(2) Explanatory Variables</p>
<list list-type="bullet">
<list-item>
<p>Command-and-control environmental regulation (CCER): Measured by the investment in marine pollution control. This refers to the total funds allocated for activities such as marine pollution treatment, marine ecosystem restoration, and marine environment monitoring and regulation.</p></list-item>
<list-item>
<p>Market-based incentive environmental regulation (MBER): Measured by the total collection of sea area usage fees. This indicator encourages marine resource users to incorporate environmental costs into their own cost considerations through resource usage charges, thereby helping to reduce extensive utilization of marine resources.</p></list-item>
<list-item>
<p>Social-supervised environmental regulations (SSER): Measured by the number of news disclosures on marine environmental information. Media coverage shapes public oversight through information dissemination. The frequency of reporting not only reflects public attention to environmental issues but also helps overcome information insularity that may result from the singularization of government regulation.</p></list-item>
</list>
<p>(3) Mediating Variables</p>
<list list-type="bullet">
<list-item>
<p>Marine technological innovation (MTI): Measured by the number of marine technology patent grants per capita. Compared to patent applications, the number of granted patents better reflects both the quality of technological innovation and its actual output outcomes.</p></list-item>
<list-item>
<p>Marine industrial upgrading (MIU): Measured by the ratio of the output value of the tertiary marine industry to the total marine production value. Industrial structure upgrading typically involves a shift from primary and secondary industries to the tertiary sector. An increase in the proportion of the tertiary industry indicates a transition of the marine economy from traditional resource exploitation and processing manufacturing to high-value-added industries.</p></list-item>
</list>
<p>(4) Control Variables</p>
<p>Urbanization Rate (UR): Measured by the proportion of urban population to total population in each province. Population Density (POP): Measured by the ratio of total population to land area in each province. Marine Economic Development (MED): As a crucial supporting factor for the development of the marine carbon sink industry, this is measured by the ratio of gross ocean product to gross regional product. Foreign Investment Proportion (FIP): Measured by the ratio of total foreign investment to gross regional product. Openness Level (OPEN): Measured by the ratio of total import and export value to gross ocean product.</p>
</sec>
<sec id="s3_3">
<label>3.3</label>
<title>Data sources and description</title>
<p>The research sample of this paper covers data from 11 coastal provinces and municipalities in China from 2008 to 2022, yielding a total of 165 observations. The data sources include the China Statistical Yearbook, China Trade and External Economic Statistical Yearbook, China Marine Economy Statistical Yearbook, China Fishery Statistical Yearbook, China Environmental Statistical Yearbook, as well as the China Ecological and Environmental Statistics Annual Report and the China Marine Ecological and Environmental Status Bulletin, the specific sources of the data are shown in <xref ref-type="table" rid="T2"><bold>Table&#xa0;2</bold></xref>. To mitigate heteroscedasticity issues in the data, logarithmic transformation was applied to the selected non-ratio variables. The screening, preprocessing, and analysis of the selected data were conducted using Excel and Stata 17 software to ensure the accuracy of data processing and the reliability of analytical results. The descriptive results are presented in <xref ref-type="table" rid="T3"><bold>Table&#xa0;3</bold></xref>.</p>
<table-wrap id="T2" position="float">
<label>Table&#xa0;2</label>
<caption>
<p>Data source description.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" align="center">Variables</th>
<th valign="middle" align="center">Data source</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="middle" align="center">Marine Carbon Sink Performance (MCSP)</td>
<td valign="middle" align="center">China Marine Statistical Yearbook, China Marine Economy Statistical Yearbook, China Fishery Statistical Yearbook, Industry Standard for Accounting Methods of Economic Value of Marine Carbon Sink (HY/T 0349-2022)</td>
</tr>
<tr>
<td valign="middle" align="center">Command-and-control environmental regulation (CCER)</td>
<td valign="middle" align="center">China Environmental Statistical Yearbook</td>
</tr>
<tr>
<td valign="middle" align="center">Market-based incentive environmental regulation (MBER)</td>
<td valign="middle" align="center">China Marine Economy Statistical Yearbook</td>
</tr>
<tr>
<td valign="middle" align="center">Social-supervised environmental regulations (SSER)</td>
<td valign="middle" align="center"/>
</tr>
<tr>
<td valign="middle" align="center">Marine technological innovation (MTI)</td>
<td valign="middle" align="center">China Statistical Yearbook, China Marine Statistical Yearbook</td>
</tr>
<tr>
<td valign="middle" align="center">Marine industrial upgrading (MIU)</td>
<td valign="middle" align="center">China Marine Statistical Yearbook</td>
</tr>
<tr>
<td valign="middle" align="center">Urbanization Rate (UR)</td>
<td valign="middle" align="center">China Statistical Yearbook</td>
</tr>
<tr>
<td valign="middle" align="center">Population Density (POP)</td>
<td valign="middle" align="center">Statistical Yearbooks of Provinces</td>
</tr>
<tr>
<td valign="middle" align="center">Marine Economic Development (MED)</td>
<td valign="middle" align="center">China Statistical Yearbook, China Marine Economy Statistical Yearbook</td>
</tr>
<tr>
<td valign="middle" align="center">Foreign Investment Proportion (FIP)</td>
<td valign="middle" align="center">China City Statistical Yearbook, China Statistical Yearbook</td>
</tr>
<tr>
<td valign="middle" align="center">Openness Level (OPEN)</td>
<td valign="middle" align="center">China Statistical Yearbook</td>
</tr>
</tbody>
</table>
</table-wrap>
<table-wrap id="T3" position="float">
<label>Table&#xa0;3</label>
<caption>
<p>Results of descriptive statistics of variables.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" align="center">Variable</th>
<th valign="middle" align="center">N</th>
<th valign="middle" align="center">Mean</th>
<th valign="middle" align="center">SD</th>
<th valign="middle" align="center">Min</th>
<th valign="middle" align="center">Max</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="middle" align="center">OCSP</td>
<td valign="middle" align="center">165</td>
<td valign="middle" align="center">0.6474</td>
<td valign="middle" align="center">0.5745</td>
<td valign="middle" align="center">0.0364</td>
<td valign="middle" align="center">2.3523</td>
</tr>
<tr>
<td valign="middle" align="center">CCER</td>
<td valign="middle" align="center">165</td>
<td valign="middle" align="center">5.9260</td>
<td valign="middle" align="center">0.9306</td>
<td valign="middle" align="center">1.3080</td>
<td valign="middle" align="center">8.1200</td>
</tr>
<tr>
<td valign="middle" align="center">MBER</td>
<td valign="middle" align="center">165</td>
<td valign="middle" align="center">8.3476</td>
<td valign="middle" align="center">1.2852</td>
<td valign="middle" align="center">4.0641</td>
<td valign="middle" align="center">10.2445</td>
</tr>
<tr>
<td valign="middle" align="center">SSER</td>
<td valign="middle" align="center">165</td>
<td valign="middle" align="center">3.6589</td>
<td valign="middle" align="center">1.0690</td>
<td valign="middle" align="center">0.6931</td>
<td valign="middle" align="center">5.6021</td>
</tr>
<tr>
<td valign="middle" align="center">MTI</td>
<td valign="middle" align="center">165</td>
<td valign="middle" align="center">0.7034</td>
<td valign="middle" align="center">0.1290</td>
<td valign="middle" align="center">0.0380</td>
<td valign="middle" align="center">0.8000</td>
</tr>
<tr>
<td valign="middle" align="center">MIU</td>
<td valign="middle" align="center">165</td>
<td valign="middle" align="center">0.3230</td>
<td valign="middle" align="center">0.1450</td>
<td valign="middle" align="center">0.0050</td>
<td valign="middle" align="center">0.6846</td>
</tr>
<tr>
<td valign="middle" align="center">UR</td>
<td valign="middle" align="center">165</td>
<td valign="middle" align="center">0.6525</td>
<td valign="middle" align="center">0.1304</td>
<td valign="middle" align="center">0.3796</td>
<td valign="middle" align="center">0.9110</td>
</tr>
<tr>
<td valign="middle" align="center">POP</td>
<td valign="middle" align="center">165</td>
<td valign="middle" align="center">7.7372</td>
<td valign="middle" align="center">0.3832</td>
<td valign="middle" align="center">6.0355</td>
<td valign="middle" align="center">8.5204</td>
</tr>
<tr>
<td valign="middle" align="center">MED</td>
<td valign="middle" align="center">165</td>
<td valign="middle" align="center">0.1794</td>
<td valign="middle" align="center">0.0874</td>
<td valign="middle" align="center">0.0520</td>
<td valign="middle" align="center">0.3740</td>
</tr>
<tr>
<td valign="middle" align="center">FIP</td>
<td valign="middle" align="center">165</td>
<td valign="middle" align="center">0.8795</td>
<td valign="middle" align="center">0.9837</td>
<td valign="middle" align="center">0.1200</td>
<td valign="middle" align="center">7.0480</td>
</tr>
<tr>
<td valign="middle" align="center">OPEN</td>
<td valign="middle" align="center">165</td>
<td valign="middle" align="center">0.0298</td>
<td valign="middle" align="center">0.0195</td>
<td valign="middle" align="center">0.0055</td>
<td valign="middle" align="center">0.1206</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>Based on the China Marine Statistical Yearbook, the 11 coastal provinces and municipalities are categorized into the Northern Marine Economic Circle (Liaoning Province, Hebei Province, Tianjin Municipality, Shandong Province), the Eastern Marine Economic Circle (Jiangsu Province, Shanghai Municipality, Zhejiang Province), and the Southern Marine Economic Circle (Fujian Province, Guangdong Province, Guangxi Zhuang Autonomous Region, and Hainan Province), the map of the study area is shown in <xref ref-type="fig" rid="f1"><bold>Figure&#xa0;1</bold></xref>.</p>
<fig id="f1" position="float">
<label>Figure&#xa0;1</label>
<caption>
<p>Map of the coastal study area.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-13-1753767-g001.tif">
<alt-text content-type="machine-generated">Map highlighting various regions along China's eastern coast, including Liaoning, Tianjin, Hebei, Shandong, Jiangsu, Shanghai, Zhejiang, Fujian, Guangdong, Guangxi, and Hainan. Includes latitude and longitude markers, and a small inset map on the lower right.</alt-text>
</graphic></fig>
</sec>
</sec>
<sec id="s4" sec-type="results">
<label>4</label>
<title>Results and analysis</title>
<sec id="s4_1">
<label>4.1</label>
<title>Factual characteristics</title>
<p>Overall, China&#x2019;s MCSP showed an upward trend from 2008 to 2022. In terms of the three major marine economic circles, the northern and eastern marine economic circles exhibited an upward trend, while the southern marine economic circle gradually declined. The MCSP value of the northern marine economic circle increased from 0.3018 to 0.8087 in <xref ref-type="table" rid="T4"><bold>Table&#xa0;4</bold></xref>, while that of the eastern marine economic circle rose from 0.6636 to 1.0047. In contrast, the MCSP of the southern marine economic circle decreased from 0.8221 to 0.6513.</p>
<table-wrap id="T4" position="float">
<label>Table&#xa0;4</label>
<caption>
<p>MCSP values in China, 2008-2022.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" rowspan="2" align="left">Region</th>
<th valign="middle" colspan="4" align="center">Northern marine economic circle</th>
<th valign="middle" colspan="3" align="center">Eastern marine economic circle</th>
<th valign="middle" colspan="4" align="center">Southern marine economic circle</th>
<th valign="middle" rowspan="2" align="center">Mean</th>
</tr>
<tr>
<th valign="middle" align="left">Tianjin</th>
<th valign="middle" align="left">Hebei</th>
<th valign="middle" align="left">Liaoning</th>
<th valign="middle" align="left">Shandong</th>
<th valign="middle" align="left">Jiangsu</th>
<th valign="middle" align="left">Shanghai</th>
<th valign="middle" align="left">Zhejiang</th>
<th valign="middle" align="left">Fujian</th>
<th valign="middle" align="left">Guangdong</th>
<th valign="middle" align="left">Guangxi</th>
<th valign="middle" align="left">Hainan</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="middle" align="center">2008</td>
<td valign="middle" align="center">0.0645</td>
<td valign="middle" align="center">0.2604</td>
<td valign="middle" align="center">0.4419</td>
<td valign="middle" align="center">0.4402</td>
<td valign="middle" align="center">0.5966</td>
<td valign="middle" align="center">1.0544</td>
<td valign="middle" align="center">0.3397</td>
<td valign="middle" align="center">1.0409</td>
<td valign="middle" align="center">0.3285</td>
<td valign="middle" align="center">1.5367</td>
<td valign="middle" align="center">0.3821</td>
<td valign="middle" align="center">0.4324</td>
</tr>
<tr>
<td valign="middle" align="center">2009</td>
<td valign="middle" align="center">0.1487</td>
<td valign="middle" align="center">0.3781</td>
<td valign="middle" align="center">1.0985</td>
<td valign="middle" align="center">0.6188</td>
<td valign="middle" align="center">0.6153</td>
<td valign="middle" align="center">1.0308</td>
<td valign="middle" align="center">0.4287</td>
<td valign="middle" align="center">1.0173</td>
<td valign="middle" align="center">0.3349</td>
<td valign="middle" align="center">1.4997</td>
<td valign="middle" align="center">0.3590</td>
<td valign="middle" align="center">0.5020</td>
</tr>
<tr>
<td valign="middle" align="center">2010</td>
<td valign="middle" align="center">0.0677</td>
<td valign="middle" align="center">0.2996</td>
<td valign="middle" align="center">1.1305</td>
<td valign="middle" align="center">0.4565</td>
<td valign="middle" align="center">0.6202</td>
<td valign="middle" align="center">0.3520</td>
<td valign="middle" align="center">0.3306</td>
<td valign="middle" align="center">0.7193</td>
<td valign="middle" align="center">0.2134</td>
<td valign="middle" align="center">1.4815</td>
<td valign="middle" align="center">0.3354</td>
<td valign="middle" align="center">0.4004</td>
</tr>
<tr>
<td valign="middle" align="center">2011</td>
<td valign="middle" align="center">0.0965</td>
<td valign="middle" align="center">0.3256</td>
<td valign="middle" align="center">1.0588</td>
<td valign="middle" align="center">0.4686</td>
<td valign="middle" align="center">0.6126</td>
<td valign="middle" align="center">0.4668</td>
<td valign="middle" align="center">0.4407</td>
<td valign="middle" align="center">0.6804</td>
<td valign="middle" align="center">0.2292</td>
<td valign="middle" align="center">1.6112</td>
<td valign="middle" align="center">0.2571</td>
<td valign="middle" align="center">0.4165</td>
</tr>
<tr>
<td valign="middle" align="center">2012</td>
<td valign="middle" align="center">0.0990</td>
<td valign="middle" align="center">0.3231</td>
<td valign="middle" align="center">1.1026</td>
<td valign="middle" align="center">0.4750</td>
<td valign="middle" align="center">0.6823</td>
<td valign="middle" align="center">0.5901</td>
<td valign="middle" align="center">0.4923</td>
<td valign="middle" align="center">1.0304</td>
<td valign="middle" align="center">0.2709</td>
<td valign="middle" align="center">1.4365</td>
<td valign="middle" align="center">0.2970</td>
<td valign="middle" align="center">0.4533</td>
</tr>
<tr>
<td valign="middle" align="center">2013</td>
<td valign="middle" align="center">0.0507</td>
<td valign="middle" align="center">0.2080</td>
<td valign="middle" align="center">1.0449</td>
<td valign="middle" align="center">0.3263</td>
<td valign="middle" align="center">0.4784</td>
<td valign="middle" align="center">0.3804</td>
<td valign="middle" align="center">0.3200</td>
<td valign="middle" align="center">0.4740</td>
<td valign="middle" align="center">0.1825</td>
<td valign="middle" align="center">2.1562</td>
<td valign="middle" align="center">0.2321</td>
<td valign="middle" align="center">0.3902</td>
</tr>
<tr>
<td valign="middle" align="center">2014</td>
<td valign="middle" align="center">0.0518</td>
<td valign="middle" align="center">0.2109</td>
<td valign="middle" align="center">1.1918</td>
<td valign="middle" align="center">0.3832</td>
<td valign="middle" align="center">0.5097</td>
<td valign="middle" align="center">0.4494</td>
<td valign="middle" align="center">0.3567</td>
<td valign="middle" align="center">0.5037</td>
<td valign="middle" align="center">0.1880</td>
<td valign="middle" align="center">2.0294</td>
<td valign="middle" align="center">0.2623</td>
<td valign="middle" align="center">0.4091</td>
</tr>
<tr>
<td valign="middle" align="center">2015</td>
<td valign="middle" align="center">0.0553</td>
<td valign="middle" align="center">0.2084</td>
<td valign="middle" align="center">1.3015</td>
<td valign="middle" align="center">0.3775</td>
<td valign="middle" align="center">0.4568</td>
<td valign="middle" align="center">0.4747</td>
<td valign="middle" align="center">0.3816</td>
<td valign="middle" align="center">0.4634</td>
<td valign="middle" align="center">0.1927</td>
<td valign="middle" align="center">2.1839</td>
<td valign="middle" align="center">0.2349</td>
<td valign="middle" align="center">0.4220</td>
</tr>
<tr>
<td valign="middle" align="center">2016</td>
<td valign="middle" align="center">0.0667</td>
<td valign="middle" align="center">0.2516</td>
<td valign="middle" align="center">1.9879</td>
<td valign="middle" align="center">0.3742</td>
<td valign="middle" align="center">0.5418</td>
<td valign="middle" align="center">0.5264</td>
<td valign="middle" align="center">0.3366</td>
<td valign="middle" align="center">0.4167</td>
<td valign="middle" align="center">0.2036</td>
<td valign="middle" align="center">1.8804</td>
<td valign="middle" align="center">0.1835</td>
<td valign="middle" align="center">0.4513</td>
</tr>
<tr>
<td valign="middle" align="center">2017</td>
<td valign="middle" align="center">0.0844</td>
<td valign="middle" align="center">0.3015</td>
<td valign="middle" align="center">2.1524</td>
<td valign="middle" align="center">0.4325</td>
<td valign="middle" align="center">0.5860</td>
<td valign="middle" align="center">0.6677</td>
<td valign="middle" align="center">0.4021</td>
<td valign="middle" align="center">0.4823</td>
<td valign="middle" align="center">0.2097</td>
<td valign="middle" align="center">1.8320</td>
<td valign="middle" align="center">0.1889</td>
<td valign="middle" align="center">0.4893</td>
</tr>
<tr>
<td valign="middle" align="center">2018</td>
<td valign="middle" align="center">0.0639</td>
<td valign="middle" align="center">0.2389</td>
<td valign="middle" align="center">2.3523</td>
<td valign="middle" align="center">0.3910</td>
<td valign="middle" align="center">0.5832</td>
<td valign="middle" align="center">1.2052</td>
<td valign="middle" align="center">0.4335</td>
<td valign="middle" align="center">0.4496</td>
<td valign="middle" align="center">0.2015</td>
<td valign="middle" align="center">1.8060</td>
<td valign="middle" align="center">0.1467</td>
<td valign="middle" align="center">0.5248</td>
</tr>
<tr>
<td valign="middle" align="center">2019</td>
<td valign="middle" align="center">0.0364</td>
<td valign="middle" align="center">0.2271</td>
<td valign="middle" align="center">2.1905</td>
<td valign="middle" align="center">0.4396</td>
<td valign="middle" align="center">0.6265</td>
<td valign="middle" align="center">1.3983</td>
<td valign="middle" align="center">0.4271</td>
<td valign="middle" align="center">0.5260</td>
<td valign="middle" align="center">0.2313</td>
<td valign="middle" align="center">1.6602</td>
<td valign="middle" align="center">0.1907</td>
<td valign="middle" align="center">0.5302</td>
</tr>
<tr>
<td valign="middle" align="center">2020</td>
<td valign="middle" align="center">0.0653</td>
<td valign="middle" align="center">0.2639</td>
<td valign="middle" align="center">2.2924</td>
<td valign="middle" align="center">0.4558</td>
<td valign="middle" align="center">0.6154</td>
<td valign="middle" align="center">1.3834</td>
<td valign="middle" align="center">0.4221</td>
<td valign="middle" align="center">0.5815</td>
<td valign="middle" align="center">0.2439</td>
<td valign="middle" align="center">1.6495</td>
<td valign="middle" align="center">0.1803</td>
<td valign="middle" align="center">0.5436</td>
</tr>
<tr>
<td valign="middle" align="center">2021</td>
<td valign="middle" align="center">0.0694</td>
<td valign="middle" align="center">0.3043</td>
<td valign="middle" align="center">2.2498</td>
<td valign="middle" align="center">0.5380</td>
<td valign="middle" align="center">0.7349</td>
<td valign="middle" align="center">1.4881</td>
<td valign="middle" align="center">0.4653</td>
<td valign="middle" align="center">0.6922</td>
<td valign="middle" align="center">0.2826</td>
<td valign="middle" align="center">1.4363</td>
<td valign="middle" align="center">0.2225</td>
<td valign="middle" align="center">0.5656</td>
</tr>
<tr>
<td valign="middle" align="center">2022</td>
<td valign="middle" align="center">0.0799</td>
<td valign="middle" align="center">0.3517</td>
<td valign="middle" align="center">2.1684</td>
<td valign="middle" align="center">0.6346</td>
<td valign="middle" align="center">1.0462</td>
<td valign="middle" align="center">1.4693</td>
<td valign="middle" align="center">0.4987</td>
<td valign="middle" align="center">0.8641</td>
<td valign="middle" align="center">0.3575</td>
<td valign="middle" align="center">1.1462</td>
<td valign="middle" align="center">0.2372</td>
<td valign="middle" align="center">0.5903</td>
</tr>
<tr>
<td valign="middle" align="center">Mean</td>
<td valign="middle" align="center">0.0733</td>
<td valign="middle" align="center">0.2769</td>
<td valign="middle" align="center">1.5842</td>
<td valign="middle" align="center">0.4541</td>
<td valign="middle" align="center">0.6204</td>
<td valign="middle" align="center">0.8625</td>
<td valign="middle" align="center">0.4050</td>
<td valign="middle" align="center">0.6628</td>
<td valign="middle" align="center">0.2447</td>
<td valign="middle" align="center">1.6897</td>
<td valign="middle" align="center">0.2473</td>
<td valign="middle" align="center"/>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>Due to space limitations, only partial calculation results are listed.</p></fn>
</table-wrap-foot>
</table-wrap>
<p>At the provincial level, there were significant differences in the MCSP values of the 11 coastal provinces, municipalities, and autonomous regions. The development of MCSP among the provinces and cities in the northern marine economic circle was highly uneven. Liaoning achieved a notably high average MCSP value of 1.5842, while Tianjin and Hebei had relatively low averages of 0.0733 and 0.2769, respectively. Shandong recorded an average of 0.4541. Liaoning&#x2019;s high performance value can be attributed to its abundant marine resources. In 2022, the mariculture area for shellfish and algae in Liaoning reached 466,433 hectares and 13,530 hectares, respectively (<xref ref-type="bibr" rid="B30">Yu et&#xa0;al., 2024</xref>). The shellfish mariculture area ranked first in the country, providing a crucial foundation for enhancing marine carbon sinks. In contrast, Tianjin&#x2019;s MCSP consistently remained at a low level, with values mostly ranging between 0.05 and 0.1. This is primarily due to severe coastal seawater pollution and the moderate eutrophication of wetland waters in Tianjin, which have led to the fragility of the marine ecological environment and caused damage to coastal ecosystems and marine fisheries (<xref ref-type="bibr" rid="B4">Gao et&#xa0;al., 2022</xref>). The MCSP values of provinces and cities in the eastern marine economic circle were relatively stable, with minor disparities among them. Jiangsu and Zhejiang had average MCSP values of 0.6204 and 0.4050, respectively, while Shanghai achieved a higher average of 0.8625, showing an overall trend of initial decline followed by an increase. The southern marine economic circle exhibited significant overall disparities in MCSP, with Guangxi standing out for its exceptional performance level. Guangxi&#x2019;s average MCSP value was 1.6897, as the gradual reduction in marine fishing, coupled with rapid growth in mariculture, effectively alleviated the ecological pressure on the marine environment caused by overfishing.</p>
</sec>
<sec id="s4_2">
<label>4.2</label>
<title>Heterogeneity test of environmental regulation tools</title>
<p><xref ref-type="table" rid="T5"><bold>Table&#xa0;5</bold></xref> presents the results of the heterogeneity test examining the impact of different environmental regulation tools on marine carbon sink performance. Detailed analysis indicates that CCER, MBER, and SSER types of environmental regulations all exhibit nonlinear relationships with MCSP. An inverted U-shaped relationship is observed in columns (1) and (2) for CCER and MBER with MCSP, respectively, which is graphically represented in <xref ref-type="fig" rid="f2"><bold>Figures&#xa0;2</bold></xref>, <xref ref-type="fig" rid="f3"><bold>3</bold></xref>. The test in Column (1) reveals that the linear coefficient of CCER on MCSP is 0.2952, and the quadratic coefficient is -0.0317, both statistically significant at the 1% level. This indicates that, in the initial stages of regulation, strengthening CCER can enhance MCSP. However, when a specific threshold is exceeded, its negative impact on MCSP gradually emerges, thereby inhibiting the growth of MCSP The test in Column (2) shows that the linear coefficient of MBER is 0.4684, and the quadratic coefficient is -0.0328, both statistically significant at the 5% level. The results suggest that, before reaching a certain threshold, MBER contribute to the improvement of MCSP. However, beyond this threshold, their impact on MCSP becomes inhibitory. The test in Column (3) indicates that the linear coefficient of SSER is -0.4464, and the quadratic coefficient is 0.0877, both statistically significant at the 1% level. This implies a U-shaped relationship between SSER and MCSP, with the specific U-shaped curve depicted in <xref ref-type="fig" rid="f4"><bold>Figure&#xa0;4</bold></xref>. In other words, SSER initially suppresses and subsequently promotes MCSP, indicating that moderate SSER can enhance MCSP through environmental regulation. In summary, the research findings confirm hypothesis H1, demonstrating a nonlinear relationship between environmental regulation tools and MCSP.</p>
<table-wrap id="T5" position="float">
<label>Table&#xa0;5</label>
<caption>
<p>Heterogeneity test results of environmental regulation tools.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" rowspan="2" align="center">Variable</th>
<th valign="middle" colspan="3" align="center">MCSP</th>
</tr>
<tr>
<th valign="middle" align="center">(1)</th>
<th valign="middle" align="center">(2)</th>
<th valign="middle" align="center">(3)</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="middle" align="center">CCER</td>
<td valign="middle" align="center">0.2952<sup>***</sup><break/>(2.6401)</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
</tr>
<tr>
<td valign="middle" align="center">CCER<sup>2</sup></td>
<td valign="middle" align="center">-0.0317<sup>***</sup><break/>(-2.6660)</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
</tr>
<tr>
<td valign="middle" align="center">MBER</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center">0.4684<sup>**</sup><break/>(2.3354)</td>
<td valign="middle" align="center"/>
</tr>
<tr>
<td valign="middle" align="center">MBER<sup>2</sup></td>
<td valign="middle" align="center"/>
<td valign="middle" align="center">-0.0328<sup>**</sup><break/>(-2.5588)</td>
<td valign="middle" align="center"/>
</tr>
<tr>
<td valign="middle" align="center">SSER</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
<td valign="middle" align="center">-0.4464<sup>***</sup><break/>(-3.1283)</td>
</tr>
<tr>
<td valign="middle" align="center">SSER<sup>2</sup></td>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
<td valign="middle" align="center">0.0877<sup>***</sup><break/>(3.7442)</td>
</tr>
<tr>
<td valign="middle" align="center">Constant Term</td>
<td valign="middle" align="center">4.5000<sup>***</sup><break/>(2.6590)</td>
<td valign="middle" align="center">2.8770<break/>(1.3211)</td>
<td valign="middle" align="center">4.8666<sup>***</sup><break/>(3.2598)</td>
</tr>
<tr>
<td valign="middle" align="center">Control Variables</td>
<td valign="middle" align="center">Yes</td>
<td valign="middle" align="center">Yes</td>
<td valign="middle" align="center">Yes</td>
</tr>
<tr>
<td valign="middle" align="center">Year Fixed Effects</td>
<td valign="middle" align="center">Yes</td>
<td valign="middle" align="center">Yes</td>
<td valign="middle" align="center">Yes</td>
</tr>
<tr>
<td valign="middle" align="center">Province Fixed Effects</td>
<td valign="middle" align="center">Yes</td>
<td valign="middle" align="center">Yes</td>
<td valign="middle" align="center">Yes</td>
</tr>
<tr>
<td valign="middle" align="center"><italic>R</italic><sup>2</sup></td>
<td valign="middle" align="center">0.8655</td>
<td valign="middle" align="center">0.8675</td>
<td valign="middle" align="center">0.8788</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>The values in parentheses are t-statistics; ***, **, and * indicate significance at the 1%, 5%, and 10% levels, respectively. The same applies below.</p></fn>
</table-wrap-foot>
</table-wrap>
<fig id="f2" position="float">
<label>Figure&#xa0;2</label>
<caption>
<p>Inverted U-shaped relationship between command-and-control environmental regulation and marine carbon sink performance.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-13-1753767-g002.tif">
<alt-text content-type="machine-generated">Graph showing a parabolic curve depicting marine carbon sink performance versus command-and-control environmental regulation. Performance increases, peaks around regulation level 4, then declines gradually.</alt-text>
</graphic></fig>
<fig id="f3" position="float">
<label>Figure&#xa0;3</label>
<caption>
<p>The inverted U-shaped relationship between market-incentive environmental regulation and marine carbon sink performance.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-13-1753767-g003.tif">
<alt-text content-type="machine-generated">Line graph showing the relationship between market-based incentive environmental regulation and marine carbon sink performance. The curve peaks around regulation level 7, with performance values ranging from 0.4 to 0.8.</alt-text>
</graphic></fig>
<fig id="f4" position="float">
<label>Figure&#xa0;4</label>
<caption>
<p>The U-shaped relationship between social-supervised environmental regulation and marine carbon sink performance.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-13-1753767-g004.tif">
<alt-text content-type="machine-generated">Graph depicting a U-shaped curve of Marine Carbon Sink Performance against Social&#x2013;Supervised Environmental Regulation. Performance decreases from 1.2 to 0.3 as regulation increases from 1 to 3, then rises to 1.3 by 6.</alt-text>
</graphic></fig>
<p>After conducting preliminary regression analysis, this study further examines the relationship between heterogeneous environmental regulations and MCSP using the U-test method. The detailed test results are presented in <xref ref-type="table" rid="T6"><bold>Table&#xa0;6</bold></xref>. Regarding the relationship between CCER and MCSP, the U-test results show a composite p-value of 0.0235, leading to the rejection of the null hypothesis. Further analysis reveals that the slope of their relationship shifts from a positive value of 0.2123 to a negative value of -0.2196, and this change passes the significance test (p = 0.0074). This confirms an inverted U-shaped relationship between CCER and MCSP. Similarly, both MBER and SSER pass the U-test in their relationships with MCSP. The results indicate that MBER also exhibits an inverted U-shaped relationship with MCSP, while SSER demonstrates a U-shaped relationship with MCSP. These findings provide further support for the hypothesis proposed in this study, suggesting that heterogeneous environmental regulations have significantly different impacts on MCSP, and these influences exhibit nonlinear characteristics.</p>
<table-wrap id="T6" position="float">
<label>Table&#xa0;6</label>
<caption>
<p>U-test results of environmental regulation tools and marine carbon sink performance.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" rowspan="2" align="center">Variable</th>
<th valign="middle" colspan="2" align="center">CCER</th>
<th valign="middle" colspan="2" align="center">MBER</th>
<th valign="middle" colspan="2" align="center">SSER</th>
</tr>
<tr>
<th valign="middle" align="center">Lower limit</th>
<th valign="middle" align="center">Upper limit</th>
<th valign="middle" align="center">Lower limit</th>
<th valign="middle" align="center">Upper limit</th>
<th valign="middle" align="center">Lower limit</th>
<th valign="middle" align="center">Upper limit</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="middle" align="center">Value range</td>
<td valign="middle" align="center">1.308</td>
<td valign="middle" align="center">8.12</td>
<td valign="middle" align="center">4.0641</td>
<td valign="middle" align="center">10.2445</td>
<td valign="middle" align="center">0.6931</td>
<td valign="middle" align="center">5.6021</td>
</tr>
<tr>
<td valign="middle" align="center">Slope</td>
<td valign="middle" align="center">0.2123</td>
<td valign="middle" align="center">-0.2196</td>
<td valign="middle" align="center">0.2018</td>
<td valign="middle" align="center">-0.2036</td>
<td valign="middle" align="center">-0.3249</td>
<td valign="middle" align="center">0.5358</td>
</tr>
<tr>
<td valign="middle" align="center"><italic>t-value</italic></td>
<td valign="middle" align="center">2.4705</td>
<td valign="middle" align="center">-2.0040</td>
<td valign="middle" align="center">2.0611</td>
<td valign="middle" align="center">-3.0014</td>
<td valign="middle" align="center">-2.9067</td>
<td valign="middle" align="center">4.1028</td>
</tr>
<tr>
<td valign="middle" align="center"><italic>P</italic>&gt;|t|</td>
<td valign="middle" align="center">0.0074</td>
<td valign="middle" align="center">0.0235</td>
<td valign="middle" align="center">0.0206</td>
<td valign="middle" align="center">0.0016</td>
<td valign="middle" align="center">0.0021</td>
<td valign="middle" align="center">0.0000</td>
</tr>
<tr>
<td valign="middle" align="center">Composite <italic>P</italic>-value<break/>Extreme point</td>
<td valign="middle" colspan="2" align="center">0.0235<break/>4.6567</td>
<td valign="middle" colspan="2" align="center">0.0206<break/>7.1404</td>
<td valign="middle" colspan="2" align="center">0.0021<break/>2.5459</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="s4_3">
<label>4.3</label>
<title>Regional heterogeneity test of environmental regulation</title>
<p>Environmental regulation tools exhibit distinct nonlinear relationships with MCSP across the three major marine economic zones. <xref ref-type="table" rid="T7"><bold>Table&#xa0;7</bold></xref> presents the results of the regional heterogeneity test. In the northern marine economic circle, an inverted U-shaped relationship is observed between CCER and MCSP. The primary term coefficient of CCER is 1.7530, while the quadratic term coefficient is -0.1339, both statistically significant at the 1% level. This indicates that regulatory measures in the initial stages of environmental regulation implementation can significantly enhance MCSP. However, as the intensity of environmental regulation increases, diminishing marginal benefits in MCSP emerge, eventually leading to negative effects. This suggests that early-stage environmental regulation can attract substantial investments into marine environmental governance, incentivizing both enterprises and governments to adopt environmental protection measures. Nevertheless, further strengthening regulatory intensity may raise operational costs for enterprises and governments in environmental management, thereby negatively impacting marine carbon sink performance. In the eastern marine economic circle, a U-shaped relationship exists between SSER and MCSP. The primary term regression coefficient of SSER is -1.2273, and the quadratic term coefficient is 0.1498, both of which pass the significance test. In the short term, social media and public opinion may suppress MCSP in the eastern marine economic circle. However, by enhancing transparency in marine environmental information and ensuring effective supervision, governments and enterprises will rapidly engage in environmental protection initiatives and invest in marine environmental governance, thereby fostering the growth of MCSP in the long run. In the southern marine economic circle, none of the environmental regulations show a significant relationship with MCSP.</p>
<table-wrap id="T7" position="float">
<label>Table&#xa0;7</label>
<caption>
<p>Regional heterogeneity test results.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" align="center">Variable</th>
<th valign="middle" colspan="3" align="center">Northern marine economic circle</th>
<th valign="middle" colspan="3" align="center">Eastern marine economic circle</th>
<th valign="middle" colspan="3" align="center">Southern marine economic circle</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="middle" align="center">CCER</td>
<td valign="middle" align="center">1.7530***<break/>(3.6947)</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
<td valign="middle" align="center">-0.3304<break/>(-0.6185)</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
<td valign="middle" align="center">0.1297<break/>(0.6408)</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
</tr>
<tr>
<td valign="middle" align="center">CCER<sup>2</sup></td>
<td valign="middle" align="center">-0.1339***<break/>(-3.2407)</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
<td valign="middle" align="center">-0.0009<break/>(-0.0163)</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
<td valign="middle" align="center">-0.0058<break/>(-0.2872)</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
</tr>
<tr>
<td valign="middle" align="center">MBER</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center">0.4763<break/>(1.2651)</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
<td valign="middle" align="center">-0.1915<break/>(-0.5235)</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
<td valign="middle" align="center">0.1257<break/>(0.4501)</td>
<td valign="middle" align="center"/>
</tr>
<tr>
<td valign="middle" align="center">MBER<sup>2</sup></td>
<td valign="middle" align="center"/>
<td valign="middle" align="center">-0.0264<break/>(-1.1435)</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
<td valign="middle" align="center">0.0182<break/>(0.7830)</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
<td valign="middle" align="center">-0.0097<break/>(-0.5242)</td>
<td valign="middle" align="center"/>
</tr>
<tr>
<td valign="middle" align="center">SSER</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
<td valign="middle" align="center">0.0316<break/>(0.1871)</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
<td valign="middle" align="center">-1.2273***<break/>(-3.4853)</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
<td valign="middle" align="center">0.0835<break/>(0.3973)</td>
</tr>
<tr>
<td valign="middle" align="center">SSER<sup>2</sup></td>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
<td valign="middle" align="center">0.0530**<break/>(2.1414)</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
<td valign="middle" align="center">0.1498**<break/>(2.4181)</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
<td valign="middle" align="center">0.0059<break/>(0.1769)</td>
</tr>
<tr>
<td valign="middle" align="center">Constant Term</td>
<td valign="middle" align="center">5.1005*<break/>(1.7101)</td>
<td valign="middle" align="center">9.9512***<break/>(4.0176)</td>
<td valign="middle" align="center">7.5576***<break/>(4.2213)</td>
<td valign="middle" align="center">6.9114<break/>(0.8300)</td>
<td valign="middle" align="center">22.3109<break/>(1.7127)</td>
<td valign="middle" align="center">16.9968**<break/>(2.2564)</td>
<td valign="middle" align="center">1.1311<break/>(0.3805)</td>
<td valign="middle" align="center">-0.2815<break/>(-0.0859)</td>
<td valign="middle" align="center">-1.2462<break/>(-0.4829)</td>
</tr>
<tr>
<td valign="middle" align="center">Control Variables</td>
<td valign="middle" align="center">Yes</td>
<td valign="middle" align="center">Yes</td>
<td valign="middle" align="center">Yes</td>
<td valign="middle" align="center">Yes</td>
<td valign="middle" align="center">Yes</td>
<td valign="middle" align="center">Yes</td>
<td valign="middle" align="center">Yes</td>
<td valign="middle" align="center">Yes</td>
<td valign="middle" align="center">Yes</td>
</tr>
<tr>
<td valign="middle" align="center">Year Fixed Effects</td>
<td valign="middle" align="center">Yes</td>
<td valign="middle" align="center">Yes</td>
<td valign="middle" align="center">Yes</td>
<td valign="middle" align="center">Yes</td>
<td valign="middle" align="center">Yes</td>
<td valign="middle" align="center">Yes</td>
<td valign="middle" align="center">Yes</td>
<td valign="middle" align="center">Yes</td>
<td valign="middle" align="center">Yes</td>
</tr>
<tr>
<td valign="middle" align="center">Province Fixed Effects</td>
<td valign="middle" align="center">Yes</td>
<td valign="middle" align="center">Yes</td>
<td valign="middle" align="center">Yes</td>
<td valign="middle" align="center">Yes</td>
<td valign="middle" align="center">Yes</td>
<td valign="middle" align="center">Yes</td>
<td valign="middle" align="center">Yes</td>
<td valign="middle" align="center">Yes</td>
<td valign="middle" align="center">Yes</td>
</tr>
<tr>
<td valign="middle" align="center"><italic>R</italic><sup>2</sup></td>
<td valign="middle" align="center">0.9542</td>
<td valign="middle" align="center">0.9482</td>
<td valign="middle" align="center">0.9723</td>
<td valign="middle" align="center">0.9170</td>
<td valign="middle" align="center">0.8409</td>
<td valign="middle" align="center">0.9338</td>
<td valign="middle" align="center">0.9542</td>
<td valign="middle" align="center">0.9532</td>
<td valign="middle" align="center">0.9621</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>The values in parentheses are t-statistics; ***, **, and * indicate significance at the 1%, 5%, and 10% levels, respectively. </p></fn>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="s4_4">
<label>4.4</label>
<title>Robustness test</title>
<p>This study employs two approaches to verify the robustness of the nonlinear relationship between environmental regulation tools and MCSP. First, a regression analysis was conducted using the one-period lagged term of heterogeneous environmental regulations and MCSP. The relevant results are presented in <xref ref-type="table" rid="T8"><bold>Table&#xa0;8</bold></xref>. Columns (1), (2), and (3) display the regression results of environmental regulation tools on the one-period lagged MCSP. In Column (1), the primary term coefficient of CCER is 0.4241, and the quadratic term coefficient is -0.0433, both statistically significant at the 1% level, confirming an inverted U-shaped relationship between the two. Similarly, the results in Columns (2) and (3) validate an inverted U-shaped relationship for MBER and a U-shaped relationship for SSER with MCSP, respectively. To address potential outliers in the data sample that may affect the accuracy of the regression analysis, the sample was winsorized at the 1% level before regression. Columns (4), (5), and (6) present the regression results of environmental regulation tools on MCSP after winsorization. The results in Columns (4) and (5) show that the quadratic term coefficients of CCER and MBER are -0.0544 and 0.0301, respectively, further confirming the inverted U-shaped relationship between these two types of environmental regulations and MCSP. In conclusion, the test results demonstrate that the core findings of this study remain robust.</p>
<table-wrap id="T8" position="float">
<label>Table&#xa0;8</label>
<caption>
<p>Robustness test results.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" rowspan="2" align="center">Variable</th>
<th valign="middle" colspan="6" align="center">MCSP</th>
</tr>
<tr>
<th valign="middle" align="center">(1)</th>
<th valign="middle" align="center">(2)</th>
<th valign="middle" align="center">(3)</th>
<th valign="middle" align="center">(4)</th>
<th valign="middle" align="center">(5)</th>
<th valign="middle" align="center">(6)</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="middle" align="center">CCER</td>
<td valign="middle" align="center">0.4241***<break/>(3.0784)</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
<td valign="middle" align="center">0.5597**<break/>(2.0721)</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
</tr>
<tr>
<td valign="middle" align="center">CCER<sup>2</sup></td>
<td valign="middle" align="center">-0.0433***<break/>(-3.2752)</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
<td valign="middle" align="center">-0.0544**<break/>(-2.4093)</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
</tr>
<tr>
<td valign="middle" align="center">MBER</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center">0.5016**<break/>(2.5384)</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
<td valign="middle" align="center">0.4241*<break/>(1.8993)</td>
<td valign="middle" align="center"/>
</tr>
<tr>
<td valign="middle" align="center">MBER<sup>2</sup></td>
<td valign="middle" align="center"/>
<td valign="middle" align="center">-0.0329**<break/>(-2.5336)</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
<td valign="middle" align="center">-0.0301**<break/>(-2.1276)</td>
<td valign="middle" align="center"/>
</tr>
<tr>
<td valign="middle" align="center">SSER</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
<td valign="middle" align="center">-0.3113*<break/>(-1.9548)</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
<td valign="middle" align="center">-0.4400***<break/>(-3.1623)</td>
</tr>
<tr>
<td valign="middle" align="center">SSER<sup>2</sup></td>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
<td valign="middle" align="center">0.0653**<break/>(2.5810)</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
<td valign="middle" align="center">0.0863***<break/>(3.7857)</td>
</tr>
<tr>
<td valign="middle" align="center">Constant Term</td>
<td valign="middle" align="center">4.8839***<break/>(4.6539)</td>
<td valign="middle" align="center">2.8493*<break/>(1.7782)</td>
<td valign="middle" align="center">6.1329***<break/>(6.2195)</td>
<td valign="middle" align="center">4.4444***<break/>(2.6157)</td>
<td valign="middle" align="center">3.9368*<break/>(1.6740)</td>
<td valign="middle" align="center">5.5425***<break/>(3.5400)</td>
</tr>
<tr>
<td valign="middle" align="center">Control Variables</td>
<td valign="middle" align="center">Yes</td>
<td valign="middle" align="center">Yes</td>
<td valign="middle" align="center">Yes</td>
<td valign="middle" align="center">Yes</td>
<td valign="middle" align="center">Yes</td>
<td valign="middle" align="center">Yes</td>
</tr>
<tr>
<td valign="middle" align="center">Year Fixed Effects</td>
<td valign="middle" align="center">Yes</td>
<td valign="middle" align="center">Yes</td>
<td valign="middle" align="center">Yes</td>
<td valign="middle" align="center">Yes</td>
<td valign="middle" align="center">Yes</td>
<td valign="middle" align="center">Yes</td>
</tr>
<tr>
<td valign="middle" align="center">Province Fixed Effects</td>
<td valign="middle" align="center">Yes</td>
<td valign="middle" align="center">Yes</td>
<td valign="middle" align="center">Yes</td>
<td valign="middle" align="center">Yes</td>
<td valign="middle" align="center">Yes</td>
<td valign="middle" align="center">Yes</td>
</tr>
<tr>
<td valign="middle" align="center"><italic>R</italic><sup>2</sup></td>
<td valign="middle" align="center">0.8926</td>
<td valign="middle" align="center">0.8891</td>
<td valign="middle" align="center">0.8951</td>
<td valign="middle" align="center">0.8708</td>
<td valign="middle" align="center">0.8718</td>
<td valign="middle" align="center">0.8833</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>The values in parentheses are t-statistics; ***, **, and * indicate significance at the 1%, 5%, and 10% levels, respectively. </p></fn>
</table-wrap-foot>
</table-wrap>
</sec>
</sec>
<sec id="s5">
<label>5</label>
<title>Further analysis</title>
<sec id="s5_1">
<label>5.1</label>
<title>Mediating effect of MTI</title>
<p>Based on the preceding regression analysis, this study further employs a mediating effect model (<xref ref-type="disp-formula" rid="eq2">Equations 2</xref>, <xref ref-type="disp-formula" rid="eq3">3</xref>) to evaluate whether MTI exhibits a mediating effect. <xref ref-type="table" rid="T9"><bold>Table&#xa0;9</bold></xref> presents the test results of the mediating effect of technological innovation.</p>
<table-wrap id="T9" position="float">
<label>Table&#xa0;9</label>
<caption>
<p>Test results of the mediating effect of MTI.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" align="center">Variable</th>
<th valign="middle" align="center">MTI</th>
<th valign="middle" align="center">MCSP</th>
<th valign="middle" align="center">MTI</th>
<th valign="middle" align="center">MCSP</th>
<th valign="middle" align="center">MTI</th>
<th valign="middle" align="center">MCSP</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="middle" align="center">CCER</td>
<td valign="middle" align="center">0.0633<break/>(1.5237)</td>
<td valign="middle" align="center">0.2602**<break/>(2.3802)</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
</tr>
<tr>
<td valign="middle" align="center">CCER<sup>2</sup></td>
<td valign="middle" align="center">-0.0091**<break/>(-2.2637)</td>
<td valign="middle" align="center">-0.0267**<break/>(-2.2237)</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
</tr>
<tr>
<td valign="middle" align="center">MBER</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
<td valign="middle" align="center">0.2174***<break/>(3.1844)</td>
<td valign="middle" align="center">0.3412*<break/>(1.6988)</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
</tr>
<tr>
<td valign="middle" align="center">MBER<sup>2</sup></td>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
<td valign="middle" align="center">-0.0133***<break/>(-3.0370)</td>
<td valign="middle" align="center">-0.0250*<break/>(-1.9507)</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
</tr>
<tr>
<td valign="middle" align="center">SSER</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
<td valign="middle" align="center">-0.1154*<break/>(-1.8182)</td>
<td valign="middle" align="center">-0.3873***<break/>(-2.6598)</td>
</tr>
<tr>
<td valign="middle" align="center">SSER<sup>2</sup></td>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
<td valign="middle" align="center">0.0184*<break/>(1.7843)</td>
<td valign="middle" align="center">0.0782***<break/>(3.2549)</td>
</tr>
<tr>
<td valign="middle" align="center">MTI</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center">0.5532***<break/>(2.9161)</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center">0.5850***<break/>(3.2971)</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center">0.5124**<break/>(2.4939)</td>
</tr>
<tr>
<td valign="middle" align="center">Constant Term</td>
<td valign="middle" align="center">-0.0976<break/>(-0.3631)</td>
<td valign="middle" align="center">4.5540***<break/>(2.6585)</td>
<td valign="middle" align="center">-1.2696***<break/>(-2.6435)</td>
<td valign="middle" align="center">3.6196<break/>(1.6548)</td>
<td valign="middle" align="center">0.0652<break/>(0.2305)</td>
<td valign="middle" align="center">4.8332***<break/>(3.2415)</td>
</tr>
<tr>
<td valign="middle" align="center">Control Variables</td>
<td valign="middle" align="center">Yes</td>
<td valign="middle" align="center">Yes</td>
<td valign="middle" align="center">Yes</td>
<td valign="middle" align="center">Yes</td>
<td valign="middle" align="center">Yes</td>
<td valign="middle" align="center">Yes</td>
</tr>
<tr>
<td valign="middle" align="center">Year Fixed Effects</td>
<td valign="middle" align="center">Yes</td>
<td valign="middle" align="center">Yes</td>
<td valign="middle" align="center">Yes</td>
<td valign="middle" align="center">Yes</td>
<td valign="middle" align="center">Yes</td>
<td valign="middle" align="center">Yes</td>
</tr>
<tr>
<td valign="middle" align="center">Province Fixed Effects</td>
<td valign="middle" align="center">Yes</td>
<td valign="middle" align="center">Yes</td>
<td valign="middle" align="center">Yes</td>
<td valign="middle" align="center">Yes</td>
<td valign="middle" align="center">Yes</td>
<td valign="middle" align="center">Yes</td>
</tr>
<tr>
<td valign="middle" align="center"><italic>R</italic><sup>2</sup></td>
<td valign="middle" align="center">0.7350</td>
<td valign="middle" align="center">0.8696</td>
<td valign="middle" align="center">0.7445</td>
<td valign="middle" align="center">0.8719</td>
<td valign="middle" align="center">0.7283</td>
<td valign="middle" align="center">0.8824</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>The values in parentheses are t-statistics; ***, **, and * indicate significance at the 1%, 5%, and 10% levels, respectively. </p></fn>
</table-wrap-foot>
</table-wrap>
<p>First, the primary term coefficient of command-and-control environmental regulation is 0.0633, which fails the significance test. This indicates that under strict command-and-control environmental regulation, its direct incentive effect on technological innovation may not be significant. However, the quadratic term of this regulation has a significant negative impact on technological innovation, suggesting a potential inverted U-shaped nonlinear relationship between command-and-control environmental regulation and technological innovation.</p>
<p>Second, market-incentive environmental regulation demonstrates a significant positive impact on technological innovation, with a negative quadratic regression coefficient. This implies an inverted U-shaped relationship between market-incentive environmental regulation and technological innovation. When market-incentive environmental regulation is at a relatively weak level, it may stimulate corporate innovation motivation by standardizing innovation pathways and addressing internal deficiencies within enterprises. Alternatively, it could accelerate innovation by narrowing the scope of advanced technology searches, thereby reducing search costs (<xref ref-type="bibr" rid="B33">Zhang and Yao, 2018</xref>). However, once the intensity of environmental regulation exceeds a certain threshold, resources of marine-related enterprises may be excessively diverted to pollution control departments, crowding out funding for other research and development activities and forcing relevant enterprises to abandon uncertain R&amp;D innovation initiatives. When the quadratic term of market-incentive environmental regulation and technological innovation are incorporated into the regression analysis of marine carbon sink performance, the coefficients of all three remain significant, further confirming the mediating role of technological innovation between market-incentive environmental regulation and marine carbon sink performance.</p>
<p>Finally, the regression results of social-supervised environmental regulation and its quadratic term on OTI suggest a potential U-shaped relationship between social-supervised environmental regulation and technological innovation. This indicates that social-supervised environmental regulation may initially inhibit and subsequently promote technological innovation over a certain period. Social-supervised environmental regulations primarily relies on public participation or the implementation of national environmental policies, which may start on a small scale initially. However, as regulatory intensity surpasses a certain inflection point, the expansion of policy implementation scope generates positive effects. The regression coefficient for technological innovation is 0.5124, confirming the existence of a mediating effect of technological innovation between social-supervised environmental regulation and marine carbon sink performance.</p>
<p>Therefore, Hypothesis H2 is validated: heterogeneous environmental regulations have a nonlinear impact on technological innovation, and technological innovation plays a mediating role in the relationship between heterogeneous environmental regulations and marine carbon sink performance.</p>
</sec>
<sec id="s5_2">
<label>5.2</label>
<title>Mediating effect of MIU</title>
<p>This study further employs the mediation effect model specified in <xref ref-type="disp-formula" rid="eq4">Equation 4</xref> to evaluate the mediating effect of industrial upgrading. <xref ref-type="table" rid="T10"><bold>Table&#xa0;10</bold></xref> presents the test results examining the mediating effect of MIU. The quadratic term coefficient of CCER is 0.0228, indicating a U-shaped relationship with MIU. When environmental regulation standards are relatively lenient, they may attract a certain number of pollution-intensive industries, leading to a reduction in the proportion of cleaner industries, particularly those dominated by services, thereby hindering the optimization and upgrading of the marine industrial structure. However, as the government subsequently tightens environmental regulation standards and increases investment in pollution control, the innovation compensation effect of environmental regulation tools is triggered, offsetting the earlier negative impacts and thereby promoting the optimization and upgrading of the marine industrial structure. These findings align with the study by <xref ref-type="bibr" rid="B24">Yang (2021)</xref>, which used pollution control investment as the primary measurement indicator for CCER and verified its nonlinear relationship with the upgrading of the marine industrial structure. Building on this, the nonlinear impact of MBER on MIU is further confirmed. The quadratic term coefficient of MBER is -0.0109, indicating an inverted U-shaped relationship with MIU, i.e., a nonlinear effect that initially promotes and subsequently inhibits industrial upgrading.</p>
<table-wrap id="T10" position="float">
<label>Table&#xa0;10</label>
<caption>
<p>Test results of the mediating effect of industrial upgrading.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" align="center">Variable</th>
<th valign="middle" align="center">MIU</th>
<th valign="middle" align="center">MCSP</th>
<th valign="middle" align="center">MIU</th>
<th valign="middle" align="center">MCSP</th>
<th valign="middle" align="center">MIU</th>
<th valign="middle" align="center">MCSP</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="middle" align="center">CCER</td>
<td valign="middle" align="center">-0.2382<sup>***</sup><break/>(-3.3854)</td>
<td valign="middle" align="center">0.4691<sup>***</sup><break/>(3.1911)</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
</tr>
<tr>
<td valign="middle" align="center">CCER<sup>2</sup></td>
<td valign="middle" align="center">0.0228<sup>***</sup><break/>(3.4733)</td>
<td valign="middle" align="center">-0.0483<sup>***</sup><break/>(-3.4420)</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
</tr>
<tr>
<td valign="middle" align="center">MBER</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
<td valign="middle" align="center">0.1378<sup>*</sup><break/>(1.8896)</td>
<td valign="middle" align="center">0.4080<sup>*</sup><break/>(1.9734)</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
</tr>
<tr>
<td valign="middle" align="center">MBER<sup>2</sup></td>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
<td valign="middle" align="center">-0.0109<sup>**</sup><break/>(-2.2241)</td>
<td valign="middle" align="center">-0.0280<sup>**</sup><break/>(-2.1087)</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
</tr>
<tr>
<td valign="middle" align="center">SSER</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
<td valign="middle" align="center">0.0114<break/>(0.1668)</td>
<td valign="middle" align="center">-0.4504<sup>***</sup><break/>(-3.0608)</td>
</tr>
<tr>
<td valign="middle" align="center">SSER<sup>2</sup></td>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
<td valign="middle" align="center">0.0084<break/>(0.7950)</td>
<td valign="middle" align="center">0.0847<sup>***</sup><break/>(3.5678)</td>
</tr>
<tr>
<td valign="middle" align="center">MIU</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center">0.7297<sup>***</sup><break/>(3.2693)</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center">0.4380<sup>**</sup><break/>(2.0855)</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center">0.3568<sup>*</sup><break/>(1.9155)</td>
</tr>
<tr>
<td valign="middle" align="center">Constant Term</td>
<td valign="middle" align="center">1.4329<sup>***</sup><break/>(3.3576)</td>
<td valign="middle" align="center">3.4543<sup>**</sup><break/>(2.2934)</td>
<td valign="middle" align="center">0.5860<break/>(0.8276)</td>
<td valign="middle" align="center">2.6203<break/>(1.2693)</td>
<td valign="middle" align="center">1.1256<sup>***</sup><break/>(3.0563)</td>
<td valign="middle" align="center">4.4650<sup>***</sup><break/>(3.1355)</td>
</tr>
<tr>
<td valign="middle" align="center">Control Variables</td>
<td valign="middle" align="center">YES</td>
<td valign="middle" align="center">YES</td>
<td valign="middle" align="center">YES</td>
<td valign="middle" align="center">YES</td>
<td valign="middle" align="center">YES</td>
<td valign="middle" align="center">YES</td>
</tr>
<tr>
<td valign="middle" align="center">Year Fixed Effects</td>
<td valign="middle" align="center">YES</td>
<td valign="middle" align="center">YES</td>
<td valign="middle" align="center">YES</td>
<td valign="middle" align="center">YES</td>
<td valign="middle" align="center">YES</td>
<td valign="middle" align="center">YES</td>
</tr>
<tr>
<td valign="middle" align="center">Province Fixed Effects</td>
<td valign="middle" align="center">YES</td>
<td valign="middle" align="center">YES</td>
<td valign="middle" align="center">YES</td>
<td valign="middle" align="center">YES</td>
<td valign="middle" align="center">YES</td>
<td valign="middle" align="center">YES</td>
</tr>
<tr>
<td valign="middle" align="center"><italic>R</italic><sup>2</sup></td>
<td valign="middle" align="center">0.5971</td>
<td valign="middle" align="center">0.8792</td>
<td valign="middle" align="center">0.5826</td>
<td valign="middle" align="center">0.8726</td>
<td valign="middle" align="center">0.6090</td>
<td valign="middle" align="center">0.8819</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>The values in parentheses are t-statistics; ***, **, and * indicate significance at the 1%, 5%, and 10% levels, respectively. </p></fn>
</table-wrap-foot>
</table-wrap>
<p>The test results from the mediating effect model (<xref ref-type="disp-formula" rid="eq5">Equation 5</xref>) show that after including the mediating variable of MIU, the regression coefficients are 0.7297 and 0.4380, respectively, and both are significant. This verifies the dual mediating role of MIU in the relationships between CCER and MCSP, and between MBER and MCSP. Therefore, Hypothesis H4 is partially validated, meaning that heterogeneous environmental regulations have a nonlinear impact on MIU, and MIU plays a mediating role in the relationship between heterogeneous environmental regulations and MCSP.</p>
</sec>
</sec>
<sec id="s6" sec-type="conclusions">
<label>6</label>
<title>Conclusions and discussion</title>
<sec id="s6_1">
<label>6.1</label>
<title>Conclusions</title>
<p>Based on panel data from 11 coastal provinces (municipalities and autonomous regions) in China from 2008 to 2022, this study employed the Super-SBM model to measure MCSP and constructed nonlinear regression and mediating effect models to systematically examine the nonlinear impact of heterogeneous environmental regulations on MCSP and its transmission mechanisms. The main findings are as follows:</p>
<p>First, China&#x2019;s MCSP generally shows an upward trend but exhibits significant regional heterogeneity. The performance in the Northern and Eastern Marine Economic Circles has steadily improved, while the Southern Economic Circle has experienced an overall decline, with notable disparities among provinces. For instance, Liaoning and Guangxi demonstrated outstanding performance, whereas Tianjin and Hebei exhibited lower performance, reflecting differences in marine resource endowment, ecological environment quality, and policy implementation effectiveness.</p>
<p>Second, there is a significant nonlinear relationship between heterogeneous environmental regulations and MCSP. Both CCER and MIER exhibit an &#x201c;inverted U-shaped&#x201d; impact, meaning moderate regulation enhances performance, while excessive regulation suppresses it. In contrast, SSER demonstrates a &#x201c;U-shaped&#x201d; impact, initially inhibiting performance but significantly promoting it in the long run.</p>
<p>Third, MTI and MIU play significant mediating roles in the process through which environmental regulations affect MCSP. A U-shaped relationship exists between CCER and MIU. MIER shows a significant inverted U-shaped relationship with MTI and a U-shaped relationship with MIU. SSER exhibits a significant U-shaped relationship with MTI. MTI and MIU serve as mediators in the relationship between heterogeneous environmental regulations and MCSP.</p>
</sec>
<sec id="s6_2">
<label>6.2</label>
<title>Policy implications</title>
<p>The findings offer the following policy recommendations for studying the nonlinear impact of heterogeneous environmental regulations on MCSP:</p>
<p>First, establish precise and synergistic environmental regulation policy combinations. The study clearly indicates that CCER, MBER, and SSER tools have significantly different impacts on MCSP, all of which are nonlinear. This suggests that relying solely on a single policy or blindly increasing regulatory intensity may be counterproductive. Therefore, policy formulation must shift toward precision and synergy. Specifically, the government should scientifically combine the three types of tools and set their optimal intensity ranges based on the development stage, industrial structure, and resource endowment of different coastal regions. In the northern marine economic circle, which is densely industrialized and faces significant pollution pressure, CCER can be prioritized to set clear environmental baselines, supplemented by market incentives such as emissions trading. In the eastern marine economic circle, where public environmental awareness is high and information flows quickly, efforts should focus on improving environmental information disclosure systems and public participation channels to fully leverage the long-term promotional role of social supervision.</p>
<p>Second, strengthen the core transmission pathways of MTI and MIU. This study validates the critical mediating roles of MTI and MIU in the process through which environmental regulations affect MCSP. This suggests that policymakers should not only focus on end-of-pipe supervision but also aim to stimulate the endogenous motivation of micro-level entities. The government should transform the pressure from environmental regulations into drivers for green transition through targeted support policies. On the one hand, special funds for marine carbon sink technology and green innovation should be established to encourage enterprises to engage in the research, development, and application of technologies related to marine ecological restoration, low-carbon aquaculture, and carbon sink monitoring through R&amp;D subsidies and tax incentives. On the other hand, regulatory policies should be actively used to guide industrial restructuring toward advanced and green transformation. Strict emission standards can phase out outdated production capacity, while economic instruments such as sea area usage fees and ecological compensation can guide the flow of production factors from traditional high-energy-consuming industries to low-carbon sectors, thereby strengthening the industrial foundation for enhancing marine carbon sink capacity.</p>
<p>Third, implement differentiated governance strategies based on regional heterogeneity. This study reveals significant regional disparities in China&#x2019;s MCSP and the varying effectiveness of the same regulatory tools across different economic circles. This strongly calls for region-specific governance strategies. For the northern marine economic circle, while optimizing regulatory intensity, emphasis should be placed on strengthening the coordinated management of industrial pollution in coastal areas and the restoration and protection of typical ecosystems. For the southern marine economic circle, the decline in performance and the ineffectiveness of regulations serve as a warning that simply replicating policies may be ineffective. It is necessary to deeply analyze the underlying structural issues, such as economic structure, cross-border pollution, or governance deficiencies, and complement this with supportive policies such as robust ecological compensation, fiscal transfers, and technical assistance to help the region overcome development and transition barriers.</p>
</sec>
<sec id="s6_3">
<label>6.3</label>
<title>Research value</title>
<p>In terms of theoretical value, this study enriches the theoretical research on the relationship between environmental regulations and MCSP by extending the research perspective from industrial and terrestrial systems to marine ecosystems, thereby contributing to the blue carbon sink theoretical framework. Moreover, it breaks through the traditional assumption of linear relationships, empirically tests the nonlinear impact of heterogeneous environmental regulation tools on MCSP, and reveals two key mediating pathways&#x2014;&#x201d;MTI&#x201d; and &#x201c;MIU&#x201d;&#x2014;providing a more refined theoretical framework for understanding the complex &#x201c;policy-behavior-performance&#x201d; black box.</p>
<p>In terms of practical value, the findings provide a basis for governments to formulate differentiated and precise marine environmental policies. It is recommended to reasonably set regulatory intensity based on the current state of MCSP and the characteristics of regulatory tools in each region, avoiding one-size-fits-all policies. Simultaneously, attention should be paid to the mediating roles of MTI and MIU, with policy combinations designed to stimulate their positive transmission effects.</p>
</sec>
<sec id="s6_4">
<label>6.4</label>
<title>Limitations and future research</title>
<p>This study has several limitations: First, marine carbon sink accounting is still in its developmental stage, and some data rely on estimations, which may affect the accuracy of performance measurement. Second, although proxy variables for environmental regulations were selected from multiple dimensions, they may not fully capture their complexity and dynamism. Finally, the study did not consider the influence of external factors such as climate change and international policies.</p>
<p>Future research could further refine the marine carbon sink accounting system, incorporate more multidimensional indicators of environmental regulations, and extend to cross-country or long-time-series comparative analyses. Additionally, methods such as machine learning and spatial econometrics could be employed to more comprehensively reveal the complex relationship between environmental regulations and MCSP.</p>
</sec>
</sec>
</body>
<back>
<sec id="s7" sec-type="data-availability">
<title>Data availability statement</title>
<p>The original contributions presented in the study are included in the article/supplementary material. Further inquiries can be directed to the corresponding author/s.</p></sec>
<sec id="s8" sec-type="author-contributions">
<title>Author contributions</title>
<p>FY: Writing &#x2013; review &amp; editing, Formal Analysis, Project administration, Data curation, Methodology, Funding acquisition, Writing &#x2013; original draft, Conceptualization. XS: Formal Analysis, Software, Resources, Investigation, Visualization, Writing &#x2013; review &amp; editing. JS: Writing &#x2013; original draft, Conceptualization, Formal Analysis, Project administration, Supervision, Validation.</p></sec>
<sec id="s10" sec-type="COI-statement">
<title>Conflict of interest</title>
<p>The author(s) declared that this work was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p></sec>
<sec id="s11" sec-type="ai-statement">
<title>Generative AI statement</title>
<p>The author(s) declared that generative AI was not used in the creation of this manuscript.</p>
<p>Any alternative text (alt text) provided alongside figures in this article has been generated by Frontiers with the support of artificial intelligence and reasonable efforts have been made to ensure accuracy, including review by the authors wherever possible. If you identify any issues, please contact us.</p></sec>
<sec id="s12" sec-type="disclaimer">
<title>Publisher&#x2019;s note</title>
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<ref-list>
<title>References</title>
<ref id="B1">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name><surname>Chen</surname> <given-names>F.</given-names></name>
<name><surname>Shen</surname> <given-names>S. F.</given-names></name>
<name><surname>Li</surname> <given-names>Y. H.</given-names></name>
<name><surname>Wang</surname> <given-names>J.</given-names></name>
<name><surname>Liu</surname> <given-names>Y.</given-names></name>
</person-group> (<year>2022</year>). 
<article-title>The impact of urban density on spatial carbon performance: A case study of Shanghai</article-title>. <source>Urban Probl.</source> <volume>2</volume>, <fpage>96</fpage>&#x2013;<lpage>103</lpage>. doi&#xa0;<pub-id pub-id-type="doi">10.13239/j.bjsshkxy.cswt.220210</pub-id>
</mixed-citation>
</ref>
<ref id="B2">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name><surname>Cheng</surname> <given-names>N.</given-names></name>
<name><surname>Chen</surname> <given-names>C.</given-names></name>
</person-group> (<year>2021</year>). 
<article-title>Ocean carbon sink, carbon tax, and green technology: A study on combination strategies for achieving the &#x201c;Dual carbon&#x201d; goals</article-title>. <source>J. Shandong Univ. (Philos. Soc Sci.)</source> <volume>6</volume>, <fpage>150</fpage>&#x2013;<lpage>162</lpage>. doi&#xa0;<pub-id pub-id-type="doi">10.19836/j.cnki.37-1100/c.2021.06.015</pub-id>
</mixed-citation>
</ref>
<ref id="B3">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name><surname>Dong</surname> <given-names>F.</given-names></name>
<name><surname>Wang</surname> <given-names>Y.</given-names></name>
<name><surname>Zheng</surname> <given-names>L.</given-names></name>
<name><surname>Li</surname> <given-names>J. Y.</given-names></name>
<name><surname>Xie</surname> <given-names>S. X.</given-names></name>
</person-group> (<year>2019</year>). 
<article-title>Can industrial agglomeration promote pollution agglomeration</article-title>? <source>Evidence China. J. Clean. Prod.</source> <volume>11</volume>, <fpage>118960</fpage>. doi&#xa0;<pub-id pub-id-type="doi">10.1016/j.jclepro.2019.118960</pub-id>
</mixed-citation>
</ref>
<ref id="B4">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name><surname>Gao</surname> <given-names>L. H.</given-names></name>
<name><surname>Bao</surname> <given-names>W. L. T. Y.</given-names></name>
<name><surname>Shi</surname> <given-names>L.</given-names></name>
</person-group> (<year>2022</year>). 
<article-title>Governance mechanism and performance of marine eco-economic system: Evidence from China</article-title>. <source>Ecol. Indic.</source> <volume>136</volume>, <fpage>108668</fpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1016/j.ecolind.2022.108668</pub-id>
</mixed-citation>
</ref>
<ref id="B5">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name><surname>Gruber</surname> <given-names>N.</given-names></name>
<name><surname>Bakker</surname> <given-names>D. C. E.</given-names></name>
<name><surname>DeVries</surname> <given-names>T.</given-names></name>
<name><surname>Hauck</surname> <given-names>J.</given-names></name>
<name><surname>Landsch&#xfc;tzer</surname> <given-names>P.</given-names></name>
<name><surname>Moore</surname> <given-names>J. K.</given-names></name>
<etal/>
</person-group>. (<year>2023</year>). 
<article-title>Trends and variability in the ocean carbon sink</article-title>. <source>Nat. Rev. Earth Environ.</source> <volume>4</volume>, <fpage>119</fpage>&#x2013;<lpage>134</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1038/s43017-022-00381-x</pub-id>
</mixed-citation>
</ref>
<ref id="B6">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name><surname>Hu</surname> <given-names>H. C.</given-names></name>
<name><surname>Yin</surname> <given-names>Y. Q.</given-names></name>
<name><surname>Fan</surname> <given-names>W. J.</given-names></name>
</person-group> (<year>2024</year>). 
<article-title>The impact of different types of environmental regulations on corporate carbon performance</article-title>. <source>Stat. Decis.</source> <volume>40</volume>, <fpage>184</fpage>&#x2013;<lpage>188</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.13546/j.cnki.tjyjc.2024.24.033</pub-id>
</mixed-citation>
</ref>
<ref id="B7">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name><surname>Lee</surname> <given-names>H. S.</given-names></name>
</person-group> (<year>2022</year>). 
<article-title>Integrating SBM model and Super-SBM model: a one-model approach</article-title>. <source>Omega</source> <volume>113</volume>, <fpage>102693</fpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1016/j.omega.2022.102693</pub-id>
</mixed-citation>
</ref>
<ref id="B8">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name><surname>Li</surname> <given-names>Q. Y.</given-names></name>
<name><surname>Wu</surname> <given-names>X. Y.</given-names></name>
<name><surname>Liu</surname> <given-names>Y. Q.</given-names></name>
<name><surname>Ge</surname> <given-names>J. X.</given-names></name>
<name><surname>Yang</surname> <given-names>L.</given-names></name>
</person-group> (<year>2025</year>). 
<article-title>Environmental regulation, factor flow, and resource misallocation</article-title>. <source>J. Environ. Manage.</source> <volume>373</volume>, <fpage>123197</fpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1016/j.jenvman.2024.123197</pub-id>, PMID: <pub-id pub-id-type="pmid">39657480</pub-id>
</mixed-citation>
</ref>
<ref id="B9">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name><surname>Li</surname> <given-names>X. S.</given-names></name>
<name><surname>Yang</surname> <given-names>Q.</given-names></name>
<name><surname>Zhou</surname> <given-names>M.</given-names></name>
</person-group> (<year>2024</year>). 
<article-title>Market-based environmental regulation, carbon emission reduction, and corporate environmental performance: evidence from China&#x2019;s carbon market</article-title>. <source>China Soft Sci.</source> <volume>8</volume>, <fpage>200</fpage>&#x2013;<lpage>210</lpage>.
</mixed-citation>
</ref>
<ref id="B10">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name><surname>Liu</surname> <given-names>X. T.</given-names></name>
<name><surname>Chen</surname> <given-names>S. S.</given-names></name>
</person-group> (<year>2022</year>). 
<article-title>Has environmental regulation facilitated the green transformation of the marine industry</article-title>? <source>Mar. Policy</source> <volume>144</volume>, <fpage>105238</fpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1016/j.marpol.2022.105238</pub-id>
</mixed-citation>
</ref>
<ref id="B11">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name><surname>Liu</surname> <given-names>C.</given-names></name>
<name><surname>Liu</surname> <given-names>G. Y.</given-names></name>
<name><surname>Casazza</surname> <given-names>M.</given-names></name>
<name><surname>Yan</surname> <given-names>N. Y.</given-names></name>
<name><surname>Xu</surname> <given-names>L. Y.</given-names></name>
<name><surname>Hao</surname> <given-names>Y.</given-names></name>
<etal/>
</person-group>. (<year>2022</year>). 
<article-title>Current status and potential assessment of China&#x2019;s ocean carbon sinks</article-title>. <source>Environ. Sci. Technol.</source> <volume>56</volume>, <fpage>6584</fpage>&#x2013;<lpage>6595</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1021/acs.est.1c08106</pub-id>, PMID: <pub-id pub-id-type="pmid">35507754</pub-id>
</mixed-citation>
</ref>
<ref id="B12">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name><surname>Mbanyele</surname> <given-names>W.</given-names></name>
<name><surname>Wang</surname> <given-names>F.</given-names></name>
</person-group> (<year>2022</year>). 
<article-title>Environmental regulation and technological innovation: evidence from China</article-title>. <source>Environ. Sci. pollut. Res.</source> <volume>29</volume>, <fpage>12890</fpage>&#x2013;<lpage>12910</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1007/s11356-021-14975-3</pub-id>, PMID: <pub-id pub-id-type="pmid">34160764</pub-id>
</mixed-citation>
</ref>
<ref id="B13">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name><surname>Ren</surname> <given-names>W. H.</given-names></name>
<name><surname>Ji</surname> <given-names>J. Y.</given-names></name>
</person-group> (<year>2021</year>). 
<article-title>How do environmental regulation and technological innovation affect the sustainable development of marine economy: New evidence from China&#x2019;s coastal provinces and cities</article-title>. <source>Mar. Policy</source> <volume>128</volume>, <fpage>104468</fpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1016/j.marpol.2021.104468</pub-id>
</mixed-citation>
</ref>
<ref id="B14">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name><surname>Rickels</surname> <given-names>W.</given-names></name>
<name><surname>Meier</surname> <given-names>F.</given-names></name>
<name><surname>Peterson</surname> <given-names>S.</given-names></name>
<name><surname>Quaas</surname> <given-names>M. F.</given-names></name>
</person-group> (<year>2024</year>). 
<article-title>The ocean carbon sink enhances countries&#x2019; inclusive wealth and reduces the cost of national climate policies</article-title>. <source>Commun. Earth Environ.</source> <volume>5</volume>, <fpage>513</fpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1038/s43247-024-01674-3</pub-id>
</mixed-citation>
</ref>
<ref id="B15">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name><surname>Sun</surname> <given-names>J.</given-names></name>
<name><surname>Zhai</surname> <given-names>N. N.</given-names></name>
<name><surname>Miao</surname> <given-names>J. C.</given-names></name>
<name><surname>Mu</surname> <given-names>H. R.</given-names></name>
<name><surname>Li</surname> <given-names>W. X.</given-names></name>
</person-group> (<year>2023</year>). 
<article-title>How do heterogeneous environmental regulations affect the sustainable development of marine green economy? Empirical evidence from China&#x2019;s coastal areas</article-title>. <source>Ocean Coast. Manage.</source> <volume>232</volume>, <fpage>106448</fpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1016/j.ocecoaman.2022.106448</pub-id>
</mixed-citation>
</ref>
<ref id="B16">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name><surname>Sun</surname> <given-names>X. H.</given-names></name>
<name><surname>Zhang</surname> <given-names>J. N.</given-names></name>
<name><surname>Li</surname> <given-names>J. X.</given-names></name>
</person-group> (<year>2024</year>). 
<article-title>Market-based environmental regulation and the transformation and upgrading of manufacturing enterprises: micro-evidence from &#x201c;Emission trading</article-title>. <source>J. Quant. Tech. Econ.</source> <volume>1</volume>, <fpage>90</fpage>&#x2013;<lpage>109</lpage>.
</mixed-citation>
</ref>
<ref id="B17">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name><surname>Tone</surname> <given-names>K.</given-names></name>
</person-group> (<year>2001</year>). 
<article-title>A slacks-based measure of efficiency in data envelopment analysis</article-title>. <source>Eur. J. Oper. Res.</source> <volume>130</volume>, <fpage>498</fpage>&#x2013;<lpage>509</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1016/S0377-2217(99)00407-5</pub-id>
</mixed-citation>
</ref>
<ref id="B18">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name><surname>Wang</surname> <given-names>Z.</given-names></name>
<name><surname>Chen</surname> <given-names>C.</given-names></name>
<name><surname>Zhu</surname> <given-names>W. W.</given-names></name>
<name><surname>Zhao</surname> <given-names>X. D.</given-names></name>
</person-group> (<year>2025</year>). 
<article-title>Linking carbon reduction targets to carbon performance: the serial mediating roles of dynamic capabilities and green technology innovation behavior</article-title>. <source>J. Purchasing Supply Manage.</source> <volume>11</volume>, <fpage>101087</fpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1016/j.pursup.2025.101087</pub-id>
</mixed-citation>
</ref>
<ref id="B19">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name><surname>Wang</surname> <given-names>Y. Y.</given-names></name>
<name><surname>Yang</surname> <given-names>Y. L.</given-names></name>
<name><surname>Fu</surname> <given-names>C. Y.</given-names></name>
<name><surname>Fan</surname> <given-names>Z. Z.</given-names></name>
<name><surname>Zhou</surname> <given-names>X. P.</given-names></name>
</person-group> (<year>2021</year>). 
<article-title>Environmental regulation, environmental responsibility, and green technology innovation: Empirical research from China</article-title>. <source>PloS One</source> <volume>16</volume>, <elocation-id>e0257670</elocation-id>. doi:&#xa0;<pub-id pub-id-type="doi">10.1371/journal.pone.0257670</pub-id>, PMID: <pub-id pub-id-type="pmid">34551024</pub-id>
</mixed-citation>
</ref>
<ref id="B20">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name><surname>Wang</surname> <given-names>Q.</given-names></name>
<name><surname>Zhang</surname> <given-names>C.</given-names></name>
<name><surname>Li</surname> <given-names>R. R.</given-names></name>
</person-group> (<year>2023</year>). 
<article-title>Does environmental regulation improve marine carbon efficiency? The role of marine industrial structure</article-title>. <source>Mar. pollut. Bull.</source> <volume>188</volume>, <fpage>114669</fpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1016/j.marpolbul.2023.114669</pub-id>, PMID: <pub-id pub-id-type="pmid">36773583</pub-id>
</mixed-citation>
</ref>
<ref id="B21">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name><surname>Wei</surname> <given-names>X.</given-names></name>
<name><surname>Wang</surname> <given-names>Q.</given-names></name>
</person-group> (<year>2024</year>). 
<article-title>Policy suggestions for tapping the potential of ocean carbon sinks in the context of &#x201c;double carbon&#x201d; goals in China</article-title>. <source>Front. Mar. Sci.</source> <volume>11</volume>, <elocation-id>1298372</elocation-id>. doi:&#xa0;<pub-id pub-id-type="doi">10.3389/fmars.2024.1298372</pub-id>
</mixed-citation>
</ref>
<ref id="B22">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name><surname>Xing</surname> <given-names>H.</given-names></name>
<name><surname>Jiang</surname> <given-names>Y.</given-names></name>
<name><surname>Guo</surname> <given-names>H. L.</given-names></name>
<name><surname>Chen</surname> <given-names>Y. Y.</given-names></name>
</person-group> (<year>2022</year>). 
<article-title>Environmental regulation and industrial structure upgrading under the moderation of public supervision: A quasi-natural experiment based on the &#x201c;Two control zones&#x201d; policy</article-title>. <source>J. North China Univ. Sci. Technol. (Soc. Sci. Ed.)</source> <volume>22</volume>, <fpage>61</fpage>&#x2013;<lpage>69</lpage>.
</mixed-citation>
</ref>
<ref id="B23">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name><surname>Xu</surname> <given-names>W. Y.</given-names></name>
</person-group> (<year>2022</year>). 
<article-title>Environmental regulation, technological innovation, and high-quality development of the marine economy</article-title>. <source>Stat. Decis.</source> <volume>38</volume>, <fpage>87</fpage>&#x2013;<lpage>93</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.13546/j.cnki.tjyjc.2022.16.017</pub-id>
</mixed-citation>
</ref>
<ref id="B24">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name><surname>Yang</surname> <given-names>L.</given-names></name>
</person-group> (<year>2021</year>). 
<article-title>Has environmental regulation promoted the transformation and upgrading of marine industrial structure? Based on the choice of marine environmental regulation tools</article-title>. <source>Rev. Econ. Manage.</source> <volume>37</volume>, <fpage>38</fpage>&#x2013;<lpage>49</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.13962/j.cnki.37-1486/f.2021.01.004</pub-id>
</mixed-citation>
</ref>
<ref id="B25">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name><surname>Yang</surname> <given-names>L.</given-names></name>
<name><surname>Shen</surname> <given-names>C. L.</given-names></name>
</person-group> (<year>2024</year>). 
<article-title>The dilemma and countermeasures of realizing the value of ocean carbon sink products</article-title>. <source>Southeast Acad. Res.</source> <volume>1</volume>, <fpage>92</fpage>&#x2013;<lpage>102</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.13658/j.cnki.sar.2024.01.009</pub-id>
</mixed-citation>
</ref>
<ref id="B26">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name><surname>Ye</surname> <given-names>F.</given-names></name>
<name><surname>He</surname> <given-names>Y. X.</given-names></name>
<name><surname>Yi</surname> <given-names>Y.</given-names></name>
<name><surname>Quan</surname> <given-names>Y. B.</given-names></name>
<name><surname>Deng</surname> <given-names>Y. C.</given-names></name>
</person-group> (<year>2022</year>). 
<article-title>Promotion of environmental regulation on the decoupling of marine economic growth from marine environmental pollution&#x2014;based on interprovincial data in China</article-title>. <source>J. Environ. Plan. Manage.</source> <volume>65</volume>, <fpage>1456</fpage>&#x2013;<lpage>1482</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1080/09640568.2021.1932771</pub-id>
</mixed-citation>
</ref>
<ref id="B27">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name><surname>Ye</surname> <given-names>F.</given-names></name>
<name><surname>Quan</surname> <given-names>Y. B.</given-names></name>
<name><surname>He</surname> <given-names>Y. X.</given-names></name>
<name><surname>Lin</surname> <given-names>X. F.</given-names></name>
</person-group> (<year>2021</year>). 
<article-title>The impact of government preferences and environmental regulations on green development of China&#x2019;s marine economy</article-title>. <source>Environ. Impact Assess. Rev.</source> <volume>87</volume>, <fpage>106522</fpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1016/j.eiar.2020.106522</pub-id>
</mixed-citation>
</ref>
<ref id="B28">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name><surname>Yu</surname> <given-names>X. Y.</given-names></name>
<name><surname>Chen</surname> <given-names>H. Y.</given-names></name>
<name><surname>Li</surname> <given-names>Y.</given-names></name>
</person-group> (<year>2021</year>). 
<article-title>The impact of carbon trading mechanism on carbon performance based on synthetic control method</article-title>. <source>China Popul. Resour. Environ.</source> <volume>31</volume>, <fpage>51</fpage>&#x2013;<lpage>61</lpage>.
</mixed-citation>
</ref>
<ref id="B29">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name><surname>Yu</surname> <given-names>L. Q.</given-names></name>
<name><surname>Guo</surname> <given-names>K. S.</given-names></name>
</person-group> (<year>2025</year>). 
<article-title>Analysis of the impact of industrial integration on manufacturing enterprises&#x2019; Carbon performance</article-title>. <source>Finance Trade Res.</source> <volume>36</volume>, <fpage>16</fpage>&#x2013;<lpage>27</lpage>.
</mixed-citation>
</ref>
<ref id="B30">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name><surname>Yu</surname> <given-names>H. C.</given-names></name>
<name><surname>Yu</surname> <given-names>X. L.</given-names></name>
<name><surname>Cao</surname> <given-names>H. Y.</given-names></name>
</person-group> (<year>2024</year>). 
<article-title>Research on the development countermeasures of Liaoning marine fishery carbon sink under the background of dual carbon</article-title>. <source>China Fisheries</source> <volume>8</volume>, <fpage>46</fpage>&#x2013;<lpage>48</lpage>.
</mixed-citation>
</ref>
<ref id="B31">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name><surname>Zhang</surname> <given-names>H. L.</given-names></name>
</person-group> (<year>2019</year>). 
<article-title>Technological distance, environmental regulation, and enterprise innovation</article-title>. <source>J. Zhongnan Univ. Econ. Law</source> <volume>2</volume>, <fpage>147</fpage>&#x2013;<lpage>156</lpage>. <pub-id pub-id-type="doi">10.19639/j.cnki.issn1003-5230.2019.0030</pub-id>
</mixed-citation>
</ref>
<ref id="B32">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name><surname>Zhang</surname> <given-names>Y. Z.</given-names></name>
<name><surname>Qiao</surname> <given-names>Y. H.</given-names></name>
</person-group> (<year>2021</year>). 
<article-title>Research on the spatial effects of different types of environmental regulations on industrial structure upgrading: an empirical analysis based on the spatial Durbin model</article-title>. <source>Ecol. Econ.</source> <volume>37</volume>, <fpage>66</fpage>&#x2013;<lpage>73</lpage>.
</mixed-citation>
</ref>
<ref id="B33">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name><surname>Zhang</surname> <given-names>Q.</given-names></name>
<name><surname>Yao</surname> <given-names>P.</given-names></name>
</person-group> (<year>2018</year>). 
<article-title>The impact of environmental regulation on enterprise technological innovation path and dynamic evolution under the porter hypothesis framework</article-title>. <source>J. Ind. Tech. Econ.</source> <volume>37</volume>, <fpage>52</fpage>&#x2013;<lpage>59</lpage>.
</mixed-citation>
</ref>
<ref id="B34">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name><surname>Zhao</surname> <given-names>X.</given-names></name>
<name><surname>Luo</surname> <given-names>Q. F.</given-names></name>
</person-group> (<year>2024</year>). 
<article-title>The impact of multiple environmental regulations on green technology innovation</article-title>. <source>Reform</source> <volume>11</volume>, <fpage>149</fpage>&#x2013;<lpage>167</lpage>.
</mixed-citation>
</ref>
<ref id="B35">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name><surname>Zheng</surname> <given-names>B. Y.</given-names></name>
<name><surname>Ding</surname> <given-names>L.</given-names></name>
<name><surname>Wen</surname> <given-names>Y. Y.</given-names></name>
</person-group> (<year>2025</year>). 
<article-title>Environmental regulation, green technology innovation, and carbon neutrality performance</article-title>. <source>J. Southwest For. Univ. (Soc. Sci.)</source> <volume>9</volume>, <fpage>35</fpage>&#x2013;<lpage>41</lpage>.
</mixed-citation>
</ref>
<ref id="B36">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name><surname>Zhang</surname> <given-names>Q.</given-names></name>
<name><surname>Lin</surname> <given-names>Y.</given-names></name>
</person-group> (<year>2022</year>). 
<article-title>Dual Environmental Regulation, Technological Innovation, and Industrial Structure Change: An Empirical Test Based on Chinese City-Level Panel Data</article-title>. <source>Soft Science</source> <volume>36</volume> (<issue>01</issue>), <fpage>37</fpage>&#x2013;<lpage>43</lpage>.
</mixed-citation>
</ref>
<ref id="B37">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name><surname>Zheng</surname> <given-names>X. Z.</given-names></name>
<name><surname>Guo</surname> <given-names>H.</given-names></name>
<name><surname>Lu</surname> <given-names>S. B.</given-names></name>
</person-group> (<year>2021</year>). 
<article-title>Dual environmental regulations and industrial structure adjustment: empirical evidence from China&#x2019;s ten major urban agglomerations</article-title>. <source>J. Yunnan Univ. Finance Econ.</source> <volume>37</volume>, <fpage>1</fpage>&#x2013;<lpage>15</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.16537/j.cnki.jynufe.000675</pub-id>
</mixed-citation>
</ref>
<ref id="B38">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name><surname>Zhou</surname> <given-names>X. Q.</given-names></name>
<name><surname>Li</surname> <given-names>H. C.</given-names></name>
<name><surname>Liang</surname> <given-names>J.</given-names></name>
<name><surname>Wang</surname> <given-names>Y.</given-names></name>
<name><surname>Li</surname> <given-names>Y.</given-names></name>
<name><surname>Zhang</surname> <given-names>J.</given-names></name>
</person-group> (<year>2024</year>). 
<article-title>The role of marine bivalves in the oceanic carbon cycle: Physiological processes, carbon budgets and ecosystem perspectives</article-title>. <source>Reg. Stud. Mar. Sci.</source> <volume>78</volume>, <fpage>103815</fpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1016/j.rsma.2024.103815</pub-id>
</mixed-citation>
</ref>
<ref id="B39">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name><surname>Zhu</surname> <given-names>H. C.</given-names></name>
<name><surname>Fang</surname> <given-names>H.</given-names></name>
<name><surname>Hua</surname> <given-names>F. L.</given-names></name>
<name><surname>Shao</surname> <given-names>W.</given-names></name>
<name><surname>Cai</surname> <given-names>P. H.</given-names></name>
</person-group> (<year>2024</year>). 
<article-title>The impact of environmental regulations on the upgrading of the industrial structure: Evidence from China</article-title>. <source>Heliyon</source> <volume>10</volume>, <elocation-id>e27091</elocation-id>. doi:&#xa0;<pub-id pub-id-type="doi">10.1016/j.heliyon.2024.e27091</pub-id>, PMID: <pub-id pub-id-type="pmid">38495209</pub-id>
</mixed-citation>
</ref>
</ref-list>
<fn-group>
<fn id="n1" fn-type="custom" custom-type="edited-by">
<p>Edited by: <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/2546974">Chao Liu</ext-link>, Ministry of Natural Resources, China</p></fn>
<fn id="n2" fn-type="custom" custom-type="reviewed-by">
<p>Reviewed by: <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/2206145">ZhenLong Miao</ext-link>, Zhejiang University of Finance and Economics, China</p>
<p><ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/3286623">Jiaju Lin</ext-link>, State Oceanic Administration, China</p>
<p><ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/3311798">Zhenchao Zhang</ext-link>, Dalian Maritime University, China</p></fn>
</fn-group>
</back>
</article>