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<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>
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<issn pub-type="epub">2296-7745</issn>
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<publisher-name>Frontiers Media S.A.</publisher-name>
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<article-id pub-id-type="doi">10.3389/fmars.2025.1764627</article-id>
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<subj-group subj-group-type="heading">
<subject>Original Research</subject>
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<title-group>
<article-title>Decoding drivers of marine ecological culture communication: insights from a Grey-DEMATEL analysis</article-title>
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<name><surname>Wang</surname><given-names>Hao</given-names></name>
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<name><surname>Lin</surname><given-names>Wenhe</given-names></name>
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<name><surname>Han</surname><given-names>Jingyu</given-names></name>
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<name><surname>Wang</surname><given-names>Wenbao</given-names></name>
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<name><surname>Liu</surname><given-names>Shen</given-names></name>
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<aff id="aff1"><label>1</label><institution>College of Digital Economy, Fujian Agriculture and Forestry University</institution>, <city>Quanzhou</city>, <country country="cn">China</country></aff>
<aff id="aff2"><label>2</label><institution>College of Management and Economics, Fujian Agriculture and Forestry University</institution>, <city>Fuzhou</city>, <country country="cn">China</country></aff>
<aff id="aff3"><label>3</label><institution>College of Construction Engineering, Fuzhou Polytechnic</institution>, <city>Fuzhou</city>, <country country="cn">China</country></aff>
<aff id="aff4"><label>4</label><institution>School of Finance, Fuzhou University of International Studies and Trade</institution>, <city>Fuzhou</city>, <country country="cn">China</country></aff>
<author-notes>
<corresp id="c001"><label>*</label>Correspondence: Wenhe Lin, <email xlink:href="mailto:253062775@qq.com">253062775@qq.com</email>; Wenbao Wang, <email xlink:href="mailto:231057452@qq.com">231057452@qq.com</email>; Shen Liu, <email xlink:href="mailto:liushen0088@163.com">liushen0088@163.com</email></corresp>
<fn fn-type="equal" id="fn003">
<label>&#x2020;</label>
<p>These authors have contributed equally to this work</p></fn>
</author-notes>
<pub-date publication-format="electronic" date-type="pub" iso-8601-date="2026-01-23">
<day>23</day>
<month>01</month>
<year>2026</year>
</pub-date>
<pub-date publication-format="electronic" date-type="collection">
<year>2025</year>
</pub-date>
<volume>12</volume>
<elocation-id>1764627</elocation-id>
<history>
<date date-type="received">
<day>10</day>
<month>12</month>
<year>2025</year>
</date>
<date date-type="accepted">
<day>30</day>
<month>12</month>
<year>2025</year>
</date>
<date date-type="rev-recd">
<day>28</day>
<month>12</month>
<year>2025</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2026 Wang, Lin, Han, Wang and Liu.</copyright-statement>
<copyright-year>2026</copyright-year>
<copyright-holder>Wang, Lin, Han, Wang and Liu</copyright-holder>
<license>
<ali:license_ref start_date="2026-01-23">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>Under the macro background of taking the construction of ecological civilization construction as the core and coordinating the promotion of the strategies of &#x201c;Beautiful China&#x201d; and &#x201c;Ocean Power&#x201d;, marine ecological culture, as a composite carrier with ecological value, cultural connotation and governance functions in the national ecological civilization system, is gradually becoming a support for the resource value realization, enhancing cultural soft power and the key link to promote the modernization of marine governance. This study takes Fujian Province as a typical field, extracts the influencing factors of marine ecological culture communication in Fujian Province through grounded theory, constructs a centrality&#x2013;causality analysis framework based on the Grey DEMATEL model, and systematically identifies and analyzes the driving structure and action path of marine ecological culture communication. The results show that government incentives and support, innovation/digital communication elements, and capital investment are at the core of the factor network. Among them, the first two play a dominant driving role and have a significant spillover effect, while capital investment shows dependence characteristics; the center of the value of marine eco-cultural resources is the highest, which is the core hub for deepening cultural communication and value transformation; resource abundance, purchasing power and tourism demand, and ocean literacy/consumption intention reflect the demand-side traction mechanism and improve the breadth and resilience of communication; the coastal red lines and heritage regulation play a binding intermediary role in the system. The research reveals the inherent structural logic and multi-dimensional driving mechanism of marine ecological culture communication, expands the theoretical boundaries of ecological civilization construction, and verifies the synergy effect of Institutional drivers, innovation synergy, and public participation with Fujian experience, providing a replicable path and policy revelation.</p>
</abstract>
<kwd-group>
<kwd>ecological civilization construction</kwd>
<kwd>Grey DEMATEL model</kwd>
<kwd>innovation synergy</kwd>
<kwd>institutional drivers</kwd>
<kwd>marine ecological culture communication</kwd>
<kwd>resource value realization</kwd>
</kwd-group>
<funding-group>
<funding-statement>The author(s) declared that financial support was received for this work and/or its publication. This work was supported by 2024 Science and Technology Innovation Think Tank Project of the Fujian Provincial Science and Technology Association, entitled &#x201c;The Effect of Live E-commerce on Driving Agricultural Products Upstream for Income Increase and High-quality Development Paths in Fujian Province under the Background of Rural Revitalization&#x201d;(Grant number FJKX2024XKB007); 2024 Major project of the Fujian Provincial Social Science Research Base, entitled &#x201c;Research on the Production and Dissemination Paths of Fujian&#x2019;s Ecological Culture under the Guidance of Xi Jinping Cultural Thought&#x201d;(Grant number FJ2024JDZ036); 2024 Fujian Provincial Undergraduate Colleges and Universities Education and Teaching Research Project General Project, entitled &#x201c;Deepening Professional Degree Research Production and Teaching Integration and Collaborative Education: Identification of Elements, Associated Structures and Paths&#x201d;(Grant number FBJY20240237). The funders had no role in study design, data collection and analysis, decision to publish, or preparation of the manuscript.</funding-statement>
</funding-group>
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<custom-meta-group>
<custom-meta>
<meta-name>section-at-acceptance</meta-name>
<meta-value>Ocean Observation</meta-value>
</custom-meta>
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</front>
<body>
<sec id="s1" sec-type="intro">
<label>1</label>
<title>Introduction</title>
<p>Under the new development stage, the national strategies of &#x201c;Beautiful China&#x201d;, &#x201c;Ocean Power&#x201d; and &#x201c;Ecological Civilization&#x201d; have been superimposed in coastal provinces, making the creative transformation and dissemination of marine ecological culture an important tool for promoting high-quality development and shaping cultural self-confidence. As China&#x2019;s first National Ecological Civilization Pilot Zone and an early demonstration area, Fujian has long played a pioneering role in marine ecological governance, marine spatial regulation, and the blue economy and&#x2014;upon being designated a pilot&#x2014;has produced a set of practices amenable to replication. The State Council subsequently issued an implementation plan that explicitly calls for improving watershed and marine ecological environmental governance mechanisms and establishing sound mechanisms for realizing the resource value of ecological products (<xref ref-type="bibr" rid="B10">J. Chen et&#xa0;al., 2024</xref>). These measures provide institutional supply&#x2014;hence strong Institutional Drivers&#x2014;for Fujian&#x2019;s Marine Ecological Culture Communication and make the province an ideal case for observing the coupled effects among &#x201c;ecology&#x2013;culture&#x2013;communication&#x2013;industry.&#x201d; In recent years, a series of national policy documents&#x2014;including the Opinions on Establishing and Improving Mechanisms for the Resource Value Realization of Ecological Products, the Outline of the 14th Five-Year Plan and Long-Range Objectives through 2035, and the Marine Environment Protection Law (2024 Revision)&#x2014;have emphasized advancing ecological civilization construction through value realization, institutional supply, and public participation, thereby promoting the expression of ecological-product value and innovation in dissemination pathways. In this study, policy documents at different levels are not reviewed exhaustively but are interpreted according to their functional roles. National strategies provide overarching value orientation, provincial policies offer implementation contexts, and sectoral regulations define operational boundaries. This approach ensures analytical consistency while avoiding uneven descriptive emphasis. Collectively, these macro policies provide a threefold foundation&#x2014;value, institutions, and scenarios&#x2014;for Marine Ecological Culture Communication while imposing higher requirements on content, media systems, audience behavior, and governance synergy. Given this policy trajectory and given Fujian&#x2019;s distinctive &#x201c;mountain&#x2013;sea adjacency&#x201d; endowments, identifying the key influencing factors of marine ecological culture communication and clarifying their causal structure is highly important. For consistency, the term &#x201c;Marine Ecological Culture Communication&#x201d; is used throughout this paper to denote processes through which marine ecological values and cultural meanings are communicated, interpreted, and socially embedded. Other expressions are employed only to emphasize specific analytical dimensions.</p>
<p>Fujian possesses highly distinctive human&#x2013;ocean relationships and cultural signifiers: a cluster of maritime cities exemplified by Quanzhou&#x2014;an important departure point of the Maritime Silk Road; a seaborne belief culture centered on Mazu worship; composite &#x201c;blue carbon&#x2013;eco-tourism&#x2013;public education&#x201d; settings mediated by mangroves and the coastal zone; and practical experience in marine ecological civilization, integrated management, and coastal-zone restoration across Xiamen, Zhangzhou, and Quanzhou (e.g., mangrove rehabilitation and blue-carbon initiatives in Xiamen Bay, and marine integrated management repeatedly cited in international blue-economy reports) (<xref ref-type="bibr" rid="B34">Ouyang et&#xa0;al., 2024</xref>; <xref ref-type="bibr" rid="B39">Qiao et&#xa0;al., 2025</xref>; <xref ref-type="bibr" rid="B46">Su and Gasparatos, 2023</xref>; <xref ref-type="bibr" rid="B51">Wang, 2024</xref>; <xref ref-type="bibr" rid="B57">Winther and Dai, 2020</xref>). These settings not only furnish &#x201c;content resources&#x201d; for communication (cultural heritage, ecological knowledge, and narrative storytelling) but also provide &#x201c;physical carriers and public spaces&#x201d; (eco-museums, World Heritage sites, coastal parks/wetlands, and nature education centers). Through interactions between visitors and residents, they further become a driving force for socially embedded communication.</p>
<p>Nevertheless, three urgent, practice-level challenges remain: (1) A disconnect between the communication supply side and the governance side. Efforts in ecological restoration, marine governance, and cultural heritage protection proceed in parallel, yet they lack translation into communicable, experiential, and marketable content ecosystems and public narratives, hindering the chain from &#x201c;ecological outcomes &#x2192; social cognition &#x2192; market conversion&#x201d; (<xref ref-type="bibr" rid="B31">McKinley et&#xa0;al., 2020</xref>). (2) Insufficient coordination among communicative actors and inadequate rule supply. Although Fujian benefits from its pilot-zone status, Marine Ecological Culture Communication requires cross-departmental and multiactor collaboration; institutionalized alignment is needed regarding &#x201c;ecological red lines vs. development,&#x201d; &#x201c;resource value realization and benefit sharing,&#x201d; and &#x201c;knowledge production and public participation&#x201d; (recent reforms in water and natural-resource spatial governance and the Marine Environment Protection Law revision emphasize land&#x2013;sea integration and public participation) (<xref ref-type="bibr" rid="B12">X. Chen et&#xa0;al., 2024</xref>; <xref ref-type="bibr" rid="B25">Jin and Yu, 2025</xref>). (3) A threshold effect along the audience-side &#x201c;ocean literacy &#x2192; behavioral conversion&#x201d; chain. Recent evidence shows that improving ocean literacy significantly promotes pro-marine conservation behaviors via a chained mediation of &#x201c;sense of responsibility &#x2192; values,&#x201d; yet communication reach and conversion mechanisms vary markedly across groups and contexts (<xref ref-type="bibr" rid="B33">Nicola et&#xa0;al., 2025</xref>; <xref ref-type="bibr" rid="B52">Wang et&#xa0;al., 2025a</xref>, <xref ref-type="bibr" rid="B53">b</xref>).</p>
<p>To address the above gaps, this study proposes three solutions: (1) Starting from Fujian&#x2014;a prototypical context where policy, resources, and practice tightly overlap&#x2014;we construct a multidimensional factor system for Marine Ecological Culture Communication, remedying the prevailing limitation of &#x201c;many factors but weak structure.&#x201d; (2) We introduce the Grey DEMATEL model to identify &#x201c;high-causality&#x2013;high-centrality&#x201d; key factors under conditions of expert-judgment uncertainty and complex interfactor interactions and to map the cause&#x2013;effect structure, thereby providing actionable causal evidence for policy design and communication strategies (<xref ref-type="bibr" rid="B16">Du and Zhou, 2019</xref>; <xref ref-type="bibr" rid="B43">Si et&#xa0;al., 2018</xref>; <xref ref-type="bibr" rid="B58">Wu, 2008</xref>). (3) We embed the resource value realization of ecological products, marine ecological restoration, cultural-heritage communication, and public ocean literacy within a unified analytical framework, exploring coupling pathways among institutional drivers, media systems, scenario building, and behavioral guidance to inform marine ecological culture communication practices and the high-quality development of the blue economy in Fujian and beyond. Through these efforts, the study goes beyond descriptive analysis by clarifying the causal structure of Marine Ecological Culture Communication and by offering an integrated analytical perspective that links institutional drivers, resource value, and demand-side mechanisms.</p>
</sec>
<sec id="s2">
<label>2</label>
<title>Theoretical background and literature review</title>
<p>In recent years, scholarship on &#x201c;marine social science&#x2013;eco-culture&#x2013;environmental/marine communication&#x201d; has rapidly coalesced. At the theoretical level, marine social science argues for integrating the human dimension into mainstream marine-governance agendas and for enhancing governance performance and social legitimacy through public participation, cultural/educational initiatives, and communication tools (<xref ref-type="bibr" rid="B31">McKinley et&#xa0;al., 2020</xref>; <xref ref-type="bibr" rid="B45">Spalding and McKinley, 2025</xref>). Research on cultural ecosystem services (CES) shows that, within coastal landscapes, cultural values, place attachment, and aesthetic/leisure experiences are closely associated with residents&#x2019; well-being, conservation intentions, and willingness to pay; moreover, stakeholders perceive CES quite differently (<xref ref-type="bibr" rid="B7">Cabana et&#xa0;al., 2020</xref>; <xref ref-type="bibr" rid="B59">You et&#xa0;al., 2025</xref>). In the Chinese context, Quanzhou&#x2019;s Maritime Silk Road World Heritage and Mazu culture constitute key carriers of &#x201c;marine civilization&#x2013;cross-cultural communication,&#x201d; demonstrating the symbolic capital and public-diplomacy functions of heritage narratives in international communication (<xref ref-type="bibr" rid="B41">Ruan, 2025</xref>; <xref ref-type="bibr" rid="B51">Wang, 2024</xref>; <xref ref-type="bibr" rid="B61">Zhang et&#xa0;al., 2023</xref>), whereas integrated marine management and mangrove restoration in places such as Xiamen provide &#x201c;visible, tangible, and participatory&#x201d; settings for communication (<xref ref-type="bibr" rid="B34">Ouyang et&#xa0;al., 2024</xref>; <xref ref-type="bibr" rid="B46">Su and Gasparatos, 2023</xref>; <xref ref-type="bibr" rid="B57">Winther and Dai, 2020</xref>). Moreover, synergies among marine ecological restoration, mangrove blue carbon, coastal space quality enhancement, and tourism/leisure create the material foundations for a chained transformation linking ecology, economy, culture, and communication (<xref ref-type="bibr" rid="B39">Qiao et&#xa0;al., 2025</xref>; <xref ref-type="bibr" rid="B47">Sun and Kong, 2025</xref>). Taken together, these studies suggest five key dimensions shaping the performance of Marine Ecological Culture Communication: content resources (heritage/ecological knowledge), communication carriers (parks/museums&#x2013;schools/media), the institutional environment (laws and planning), social&#x2013;psychological factors (place attachment, responsibility, and values), and market mechanisms&#x2014;specifically, the realization of the resource value of ecological products.</p>
<p>At the level of methods and tools, DEMATEL and its extended forms&#x2014;fuzzy variants, grey-based comprehensive approaches, and couplings with interpretive structural modeling (ISM)&#x2014;are widely used for identifying key factors in social&#x2013;ecological&#x2013;managerial complex systems because they excel at handling multifactor causal networks (<xref ref-type="bibr" rid="B13">Chien et&#xa0;al., 2025</xref>; <xref ref-type="bibr" rid="B16">Du and Zhou, 2019</xref>; <xref ref-type="bibr" rid="B26">Jonnala et&#xa0;al., 2025</xref>; <xref ref-type="bibr" rid="B43">Si et&#xa0;al., 2018</xref>; <xref ref-type="bibr" rid="B56">Werner-Lewandowska et&#xa0;al., 2025</xref>; <xref ref-type="bibr" rid="B58">Wu, 2008</xref>; <xref ref-type="bibr" rid="B62">Zhou et&#xa0;al., 2025</xref>). Unlike the traditional &#x201c;correlation&#x2013;regression&#x2013;SEM&#x201d; orientation, DEMATEL focuses on the directionality of &#x201c;who influences whom&#x201d; and on centrality/causality rankings, making it well suited to policy-research contexts that weigh expert knowledge and literature evidence under conditions of incomplete information. Grey system theory characterizes uncertainty via interval grey numbers, enhancing robustness when expert ratings are imprecise and preference heterogeneity exists. Consequently, the Grey DEMATEL model has been frequently employed in the fields of environmental governance, supply chain resilience, education, and culture (<xref ref-type="bibr" rid="B16">Du and Zhou, 2019</xref>; <xref ref-type="bibr" rid="B26">Jonnala et&#xa0;al., 2025</xref>; <xref ref-type="bibr" rid="B56">Werner-Lewandowska et&#xa0;al., 2025</xref>). Most of the research has focused on the topic of &#x201c;economy-technology-management&#x201d;. The application of &#x201c;ecological and cultural communication&#x201d;, especially in marine scenes, is still scarce, and the comprehensive model of &#x201c;institutional supply-public literacy-communication behavior-scene construction&#x201d; has not yet been formed. This gap provides an entry point for the methodology of this article.</p>
<p>At the empirical level of evaluation and dissemination, the psychological link of the public&#x2019;s &#x201c;marine literacy-responsibility-behavior&#x201d; has been verified by more and more data, and educational intervention and narrative experiments have shown remarkable results (<xref ref-type="bibr" rid="B33">Nicola et&#xa0;al., 2025</xref>; <xref ref-type="bibr" rid="B52">Wang et&#xa0;al., 2025a</xref>, <xref ref-type="bibr" rid="B53">b</xref>). Moreover, China&#x2019;s institutional instruments for coastal zone governance&#x2014;such as the bay-chief system, marine parks, and integrated coastal zone legislation&#x2014;are institutionalizing mechanisms for public participation and building communication platforms, thereby enhancing policy communication efficiency and social trust (<xref ref-type="bibr" rid="B12">X. Chen et&#xa0;al., 2024</xref>; <xref ref-type="bibr" rid="B23">Jiang and Sun, 2025</xref>; <xref ref-type="bibr" rid="B25">Jin and Yu, 2025</xref>). In Fujian, multistakeholder spatial perceptions and cultural value assessments at Quanzhou&#x2019;s Maritime Silk Road heritage sites, science communication on flagship species such as mangroves and dolphins in Xiamen, and coastal restoration and tourism-innovation practices in places such as Pingtan together form a &#x201c;scientific monitoring&#x2013;governance and restoration&#x2013;cultural narrative&#x2013;tourism conversion&#x2013;public education&#x201d; communication loop (<xref ref-type="bibr" rid="B37">Province, 2025</xref>; <xref ref-type="bibr" rid="B55">Weng et&#xa0;al., 2024</xref>; <xref ref-type="bibr" rid="B59">You et&#xa0;al., 2025</xref>). Nevertheless, current research tends to remain siloed&#x2014;emphasizing either the natural-science underpinnings of ecological restoration, the cultural logic of heritage communication, or the psychological mechanisms of public education&#x2014;while lacking systematic causal mapping among them. To bridge this gap, the present study, which is situated in Fujian&#x2019;s concrete context, triangulates literature evidence with expert knowledge and employs the Grey DEMATEL model to identify &#x201c;high-causality&#x2013;high-centrality&#x201d; key factors, from which actionable communication strategies are derived.</p>
</sec>
<sec id="s3" sec-type="materials|methods">
<label>3</label>
<title>Materials and methods</title>
<p>This study adopts a tri-source evidence framework&#x2014;policy, literature, and expert: (1) we systematically review national and Fujian-provincial policy texts on marine ecological civilization, mechanisms for resource value realization of ecological products, the marine rule of law, and integrated coastal/marine management; (2) we synthesize up-to-date evidence on marine ecological culture communication together with coastal cultural ecosystem services (CES), ocean literacy, ecological restoration, and heritage communication; and (3) we convene regional experts in marine ecological governance, cultural heritage and communication, and tourism/education to judge interfactor relationships. Methodologically, drawing on grey system theory and DEMATEL, we implement the Grey DEMATEL model as follows: build the indicator system &#x2192; construct the direct-influence grey-number matrix &#x2192; normalize and compute the total-influence matrix &#x2192; derive the influence score R, the influenced score C, the centrality/prominence P (R+C), and the causality E (R&#x2212;C) &#x2192; plot the cause&#x2013;effect plane and identify key factors. This process can improve robustness when expert opinions are ambiguous and uncertain, and reveal &#x201c;key minorities&#x201d; in complex networks. For the technical details, semantic scale, clarification processing and matrix operation process of the method, please refer to the processing specifications of  <xref ref-type="bibr" rid="B16">Du and Zhou (2019)</xref>, <xref ref-type="bibr" rid="B43">Si et&#xa0;al. (2018)</xref> on DEMATEL/Grey DEMATEL.</p>
<sec id="s3_1">
<label>3.1</label>
<title>Data sources</title>
<p>This research takes literature as the main data source, and systematically retrieves databases such as Web of Science Core Collection, Scopus and CNKI published from 2020 to 2025 related to the dissemination of marine ecological culture. High-quality academic literature. In the retrieval process, use &#x201c;Marine ecological Culture&#x201d;, &#x201c;Marine Cultural Communication&#x201d;, &#x201c;Cultural Ecosystem Services&#x201d; and &#x201c;Ocean&#x201d; Keywords such as Literacy, Marine Heritage, Blue Economy are combined with Boolean logic to ensure that the sample coverage is relevant to the theme. Finally, 37 core documents were identified as research samples. The literature covers multiple directions such as marine ecological civilization policy, cultural ecosystem services, marine cultural heritage protection, public marine literacy and digital dissemination, with strong systematicity and representativeness. Twenty-seven of the documents were randomly selected for coding analysis. At the same time, 10 documents of the same subject that were not included in the initial analysis were retained for saturation testing. The literature text is regarded as second-hand qualitative material. Accordingly, grounded theory is employed as a systematic coding framework for influencing-factor identification, rather than for substantive theory construction. It is systematically analyzed and theoretically refined according to the open, spindial and selective coding program of the rooted theory, which provides solid empirical support for the identification of influencing factors of marine ecological and cultural communication and the construction of theoretical models. The specific literature samples 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>Basic information of document samples.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" align="center">Items</th>
<th valign="middle" align="center">Indicator description</th>
<th valign="middle" align="center">Data</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="middle" align="left">Time Coverage</td>
<td valign="middle" align="left">Publication years</td>
<td valign="middle" align="left">2020&#x2013;2025</td>
</tr>
<tr>
<td valign="middle" align="left">Database Distribution</td>
<td valign="middle" align="left">Share of sample by source</td>
<td valign="middle" align="left">Web of Science73.7%,Scopus18.4%, CNKI7.9%</td>
</tr>
<tr>
<td valign="middle" align="left">Research Themes</td>
<td valign="middle" align="left">Main research directions</td>
<td valign="middle" align="left">Marine ecological cultural resources; policy &amp; governance; capital &amp; innovation; public ocean literacy; ecological regulation</td>
</tr>
<tr>
<td valign="middle" align="left">Research Methods</td>
<td valign="middle" align="left">Type &amp; proportion</td>
<td valign="middle" align="left">Qualitative 68% (content analysis, grounded theory); Quantitative 32% (SEM, Grey DEMATEL, SNA)</td>
</tr>
<tr>
<td valign="middle" align="left">Representative Journals</td>
<td valign="middle" align="left">Core outlets in the sample</td>
<td valign="middle" align="left">Ecosystem Services; Frontiers in Marine Science; Ocean &amp; Coastal Management;</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="s3_2">
<label>3.2</label>
<title>Coding procedure</title>
<p>Open coding refers to the analysis and distillation of the obtained materials sentence by sentence to restore their original concepts. Use an objective and systematic method to filter the selected meaningless or non-compliant content. On the basis of not expanding the semantics of the original statement, use academic terms to decompose and refine the original information, so that their concepts are independent of each other and not staggered with each other. For example, &#x201c;Ocean literacy plays a crucial role in promoting sustainable marine conservation behaviors&#x201d; can be refined into &#x201c;Marine literacy promotes the public&#x2019;s awareness of sustainable behavior&#x201d;, which is grouped together to express sentences that are similar in essence. At the same time, the initial concept of occurrence of less than 2 times is excluded, and finally 52 initial concepts are given.</p>
<p>Spinal coding is the second stage of rooted theoretical coding. By exploring and analyzing the potential logical relationships between categories, the original concepts with similar meanings are further merged into a wider range of categories. This integration process aims to extract categories in order to better summarize and summarize the research problems. Based on the open coding, the above 52 initial concepts are processed and sorted out, and the logical relationship between various categories is summarized and integrated. For example, &#x201c;multiple policy tools to promote the integration of culture and tourism&#x201d; and &#x201c;the government strengthens marine cultural governance with the ecological red line as the bottom line&#x201d; are classified as &#x201c;government incentives and support The category of holding. After many screening and analysis, 13 categories were finally formed. Initial concepts with overlapping meanings were merged based on semantic similarity and functional equivalence, while concepts appearing fewer than two times were excluded to enhance analytical robustness. This process was jointly reviewed by multiple researchers to reduce subjective bias. The results of the spindle coding part of this study are shown in <xref ref-type="table" rid="T2"><bold>Table&#xa0;2</bold></xref>.</p>
<table-wrap id="T2" position="float">
<label>Table&#xa0;2</label>
<caption>
<p>Main axis coding results (partial).</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" align="left">Partial raw data</th>
<th valign="middle" align="left">Initial concept</th>
<th valign="middle" align="left">Category</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="middle" align="left">The advent of the metaverse &#x2026; presents a novel approach to safeguarding and promoting cultural heritage</td>
<td valign="middle" align="left">Metaverse technology reshapes cultural heritage dissemination</td>
<td valign="middle" rowspan="2" align="left">Innovation/Digital Communication Elements</td>
</tr>
<tr>
<td valign="middle" align="left">Metaverse can be conceptualized as a relevant tool for preserving and experiencing cultural heritage</td>
<td valign="middle" align="left">Metaverse enhances public cultural engagement</td>
</tr>
<tr>
<td valign="middle" align="left">Only through an organic combination of different policy tools can [culture&#x2013;tourism] integration be achieved</td>
<td valign="middle" align="left">Policy synergy promotes integrated development</td>
<td valign="middle" rowspan="2" align="left">Government Incentives and Support</td>
</tr>
<tr>
<td valign="middle" align="left">MSP will &#x2026; prioritize MERLs as an ecological bottom line in national and provincial plans</td>
<td valign="middle" align="left">Ecological redlines strengthen marine governance</td>
</tr>
<tr>
<td valign="middle" align="left">Tourism investments positively contribute to tourism growth</td>
<td valign="middle" align="left">Capital injection drives sectoral expansion</td>
<td valign="middle" rowspan="2" align="left">Capital Investment</td>
</tr>
<tr>
<td valign="middle" align="left">Tourism development &#x2026; increases inequality in lower-income economies but reduces it across high-income nations</td>
<td valign="middle" align="left">Capital investment effects demonstrate regional heterogeneity</td>
</tr>
<tr>
<td valign="middle" align="left">MERLs is an institutional innovation &#x2026; to balance ecological protection and social development</td>
<td valign="middle" align="left">Institutional innovation mediates development-conservation</td>
<td valign="middle" rowspan="2" align="left">Coastal Red Lines and Heritage Regulation</td>
</tr>
<tr>
<td valign="middle" align="left">After adjustment &#x2026; human activities intensity in MERLs declines significantly</td>
<td valign="middle" align="left">Regulatory adjustments effectively mitigate anthropogenic pressure</td>
</tr>
<tr>
<td valign="middle" align="left">Ocean literacy plays a crucial role in promoting sustainable marine conservation behaviors</td>
<td valign="middle" align="left">Knowledge enhancement drives behavioral change</td>
<td valign="middle" rowspan="2" align="left">Ocean Literacy/Consumption Intention</td>
</tr>
<tr>
<td valign="middle" align="left">Marine responsibility and values mediate the link between ocean literacy and pro-environmental behavior</td>
<td valign="middle" align="left">Psychological constructs enable knowledge-action translation</td>
</tr>
<tr>
<td valign="middle" align="left">Ocean extended reality can benefit marine education and ocean literacy</td>
<td valign="middle" align="left">Immersive technologies create differentiated learning experiences</td>
<td valign="middle" align="left">Audience Heterogeneity</td>
</tr>
<tr>
<td valign="middle" align="left">Mapping &#x2026; cultural ecosystem services in coastal areas informs management decisions</td>
<td valign="middle" align="left">Spatial visualization informs decision-making</td>
<td valign="middle" align="left">Resources and Content</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>Selective coding is a further refinement of the category, so as to form the main category and obtain a higher level of abstraction. For the 13 categories formed by the spindle coding, combined with relevant literature and expert verification, the main category and its relationship are finally determined, so as to form a systematic explanation of the influencing factors. The specific main categories are resources and content, elements and supply, system and rules, audience and demand, platform and network. The selective coding results of this study are shown in <xref ref-type="table" rid="T3"><bold>Table&#xa0;3</bold></xref>.</p>
<table-wrap id="T3" position="float">
<label>Table&#xa0;3</label>
<caption>
<p>Selective encoding results.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" align="left">Influencing factors</th>
<th valign="middle" align="left">Symbol</th>
<th valign="middle" align="left">Specific factor indicators</th>
<th valign="middle" align="left">Explanation of indicator connotation</th>
<th valign="middle" align="left">Literature sources</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="middle" rowspan="3" align="left">Resources &amp; Content</td>
<td valign="middle" align="left"><italic>A<sub>1</sub></italic></td>
<td valign="middle" align="left">Diversity of Marine Eco-Cultural Resources</td>
<td valign="middle" align="left">The variety of eco-cultural types, natural landscapes, and intangible cultural heritage within a region.</td>
<td valign="middle" align="left">(<xref ref-type="bibr" rid="B3">Banela et&#xa0;al., 2024</xref>; <xref ref-type="bibr" rid="B18">Erskine et&#xa0;al., 2021</xref>; <xref ref-type="bibr" rid="B36">Pellowe and Leslie, 2021</xref>)</td>
</tr>
<tr>
<td valign="middle" align="left"><italic>A<sub>2</sub></italic></td>
<td valign="middle" align="left">Abundance of Marine Eco-Cultural Resources</td>
<td valign="middle" align="left">The quantity and carrying capacity of resources, including the number of landscapes, species richness, and cultural heritage sites.</td>
<td valign="middle" align="left">(<xref ref-type="bibr" rid="B8">Castaneda-Guzman et&#xa0;al., 2021</xref>; <xref ref-type="bibr" rid="B22">In&#xe1;cio et&#xa0;al., 2022</xref>)</td>
</tr>
<tr>
<td valign="middle" align="left"><italic>A<sub>3</sub></italic></td>
<td valign="middle" align="left">Value of Marine Eco-Cultural Resources</td>
<td valign="middle" align="left">The comprehensive ecological, cultural, and economic worth of the resources.</td>
<td valign="middle" align="left">(<xref ref-type="bibr" rid="B1">Alves et&#xa0;al., 2025</xref>; <xref ref-type="bibr" rid="B30">McCook et&#xa0;al., 2025</xref>; <xref ref-type="bibr" rid="B50">Van Schoubroeck et&#xa0;al., 2024</xref>)</td>
</tr>
<tr>
<td valign="middle" rowspan="3" align="left">Elements &amp; Supply</td>
<td valign="middle" align="left"><italic>A<sub>4</sub></italic></td>
<td valign="middle" align="left">Capital Investment</td>
<td valign="middle" align="left">The level of financial input from government, enterprises, and society for eco-cultural communication and conservation.</td>
<td valign="middle" align="left">(<xref ref-type="bibr" rid="B9">Castilho and Fuinhas, 2025</xref>; <xref ref-type="bibr" rid="B35">Paramati et&#xa0;al., 2018</xref>)</td>
</tr>
<tr>
<td valign="middle" align="left"><italic>A<sub>5</sub></italic></td>
<td valign="middle" align="left">Innovation/Digital Communication Elements</td>
<td valign="middle" align="left">The application of innovative forms such as digitalization, immersive experiences, and short-form videos.</td>
<td valign="middle" align="left">(<xref ref-type="bibr" rid="B6">Buragohain et&#xa0;al., 2024</xref>; <xref ref-type="bibr" rid="B24">Jin and Liu, 2022</xref>)</td>
</tr>
<tr>
<td valign="middle" align="left"><italic>A<sub>6</sub></italic></td>
<td valign="middle" align="left">Talent &amp; Scenario Infrastructure</td>
<td valign="middle" align="left">The availability of professional communication talent, education/training, and cultural exhibition spaces/facilities.</td>
<td valign="middle" align="left">(<xref ref-type="bibr" rid="B17">Er-Ramy et&#xa0;al., 2023</xref>; <xref ref-type="bibr" rid="B48">Tang, 2024</xref>)</td>
</tr>
<tr>
<td valign="middle" rowspan="3" align="left">Institutions &amp; Rules</td>
<td valign="middle" align="left"><italic>A<sub>7</sub></italic></td>
<td valign="middle" align="left">Government Incentives and Support</td>
<td valign="middle" align="left">Policy guidance, targeted funding, and institutional safeguards.</td>
<td valign="middle" align="left">(<xref ref-type="bibr" rid="B38">Qi and You, 2024</xref>; <xref ref-type="bibr" rid="B49">Tang et&#xa0;al., 2024</xref>)</td>
</tr>
<tr>
<td valign="middle" align="left"><italic>A<sub>8</sub></italic></td>
<td valign="middle" align="left">Resource Protection Constraints</td>
<td valign="middle" align="left">Restrictions, supervision, and penalties governing the exploitation of ecological resources.</td>
<td valign="middle" align="left">(<xref ref-type="bibr" rid="B14">Choi et&#xa0;al., 2022</xref>; <xref ref-type="bibr" rid="B21">Gao et&#xa0;al., 2020</xref>)</td>
</tr>
<tr>
<td valign="middle" align="left"><italic>A<sub>9</sub></italic></td>
<td valign="middle" align="left">Coastal Red Lines &amp; Heritage Regulation</td>
<td valign="middle" align="left">Rigid controls on coastal zone use and conservation of maritime heritage.</td>
<td valign="middle" align="left">(<xref ref-type="bibr" rid="B40">Rodrigues et&#xa0;al., 2024</xref>)</td>
</tr>
<tr>
<td valign="middle" rowspan="3" align="left">Audience &amp; Demand</td>
<td valign="middle" align="left"><italic>A<sub>10</sub></italic></td>
<td valign="middle" align="left">Audience Heterogeneity</td>
<td valign="middle" align="left">Differences in cultural cognition, interests, and communication receptiveness among different groups.</td>
<td valign="middle" align="left">(<xref ref-type="bibr" rid="B5">Bastos et&#xa0;al., 2025</xref>; <xref ref-type="bibr" rid="B27">Kelly et&#xa0;al., 2022</xref>)</td>
</tr>
<tr>
<td valign="middle" align="left"><italic>A<sub>11</sub></italic></td>
<td valign="middle" align="left">Ocean Literacy/Consumption Intention</td>
<td valign="middle" align="left">Public understanding of marine eco-culture and willingness to participate/consume.</td>
<td valign="middle" align="left">(<xref ref-type="bibr" rid="B19">Fauville et&#xa0;al., 2025</xref>; <xref ref-type="bibr" rid="B32">McKinley et&#xa0;al., 2023</xref>; <xref ref-type="bibr" rid="B42">Shellock et&#xa0;al., 2024</xref>; <xref ref-type="bibr" rid="B44">Soffietti et&#xa0;al., 2025</xref>)</td>
</tr>
<tr>
<td valign="middle" align="left"><italic>A<sub>12</sub></italic></td>
<td valign="middle" align="left">Purchasing Power &amp; Tourism Demand</td>
<td valign="middle" align="left">The economic capacity of the audience and actual demand for marine eco-tourism/cultural creative products.</td>
<td valign="middle" align="left">(<xref ref-type="bibr" rid="B11">Chen and Zhang, 2023</xref>; <xref ref-type="bibr" rid="B28">Konu et&#xa0;al., 2025</xref>)</td>
</tr>
<tr>
<td valign="middle" align="left">Platforms &amp; Networks</td>
<td valign="middle" align="left"><italic>A<sub>13</sub></italic></td>
<td valign="middle" align="left">Media Matrix &amp; Cross-sector Coordination</td>
<td valign="middle" align="left">Multichannel communication platforms and collaborative mechanisms among departments.</td>
<td valign="middle" align="left">(<xref ref-type="bibr" rid="B19">Fauville et&#xa0;al., 2025</xref>; <xref ref-type="bibr" rid="B44">Soffietti et&#xa0;al., 2025</xref>)</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>1. Resources and content. Resources and content are the core dimensions of marine ecological culture communication. Its connotation includes three key indicators: resource diversity, resource abundance and resource value. The diversity of marine eco-cultural resources reflects the composite of regional ecological types, natural landscapes and intangible cultural heritage, providing multi-layer narrative materials and cultural symbols for communication (<xref ref-type="bibr" rid="B3">Banela et&#xa0;al., 2024</xref>; <xref ref-type="bibr" rid="B18">Erskine et&#xa0;al., 2021</xref>). The abundance of resources reflects the carrying capacity of the ecosystem and the richness of the cultural landscape, which is not only related to the continuity of communication, but also affects its cultural expression (<xref ref-type="bibr" rid="B8">Castaneda-Guzman et&#xa0;al., 2021</xref>; <xref ref-type="bibr" rid="B22">In&#xe1;cio et&#xa0;al., 2022</xref>). The amount of resource value integrates the attributes of ecology, culture and economy, which determines the social significance of communication and the intensity of audience perception (<xref ref-type="bibr" rid="B1">Alves et&#xa0;al., 2025</xref>; <xref ref-type="bibr" rid="B30">McCook et&#xa0;al., 2025</xref>). In the communication system, this dimension plays the dual function of &#x201c;content supply and value support&#x201d;, which is the fundamental condition for the sustainability and deepening of cultural communication.</p>
<p>2. Elements and Supply. Elements and supply constitute the material and technical support for the dissemination of marine ecological culture communication, including capital investment, innovation/digital communication elements, and talent &amp; scenario infrastructure. Capital investment is the key fulcrum for the transformation of cultural communication into real productivity, and its level directly determines the depth of resource development, content innovation and media expansion (<xref ref-type="bibr" rid="B9">Castilho and Fuinhas, 2025</xref>). Innovation/digital communication elements reflect the application of new media forms such as digitalization, immersive experience and short videos in communication, and promote the evolution of culture from one-way communication to multi-dimensional co-creation (<xref ref-type="bibr" rid="B6">Buragohain et&#xa0;al., 2024</xref>; <xref ref-type="bibr" rid="B24">Jin and Liu, 2022</xref>). Talent &amp; scenario infrastructure provide professional support and communication space, creating conditions for the education, promotion and display of ecological and cultural content (<xref ref-type="bibr" rid="B17">Er-Ramy et&#xa0;al., 2023</xref>; <xref ref-type="bibr" rid="B48">Tang, 2024</xref>). Overall, this dimension reflects the trend of &#x201c;technology&#x201d; and &#x201c;industrialization&#x201d; of the communication system, and is the core driving force for promoting the generation of cultural efficiency and the upgrading of communication structure.</p>
<p>3. Institutions and Rules. The dimensions of institutions and rules reflect the macro-governance logic and institutional constraints of marine ecological culture communication, mainly including government incentives and support, resource protection constraints, and coastal red lines and heritage regulation. Government incentives and support are the dominant variables of the communication system. Policy guidance, special support and institutional guarantees jointly build the legitimacy framework and operation boundaries of cultural communication (<xref ref-type="bibr" rid="B38">Qi and You, 2024</xref>; <xref ref-type="bibr" rid="B49">Tang et&#xa0;al., 2024</xref>). Resource protection constraints ensure the sustainable development of ecological resources through supervision and disciplinary mechanisms. (<xref ref-type="bibr" rid="B14">Choi et&#xa0;al., 2022</xref>; <xref ref-type="bibr" rid="B21">Gao et&#xa0;al., 2020</xref>) Coastal red lines and heritage regulation play a key role in spatial planning and ecological constraints to prevent communication activities from causing reverse invasion of natural heritage (<xref ref-type="bibr" rid="B40">Rodrigues et&#xa0;al., 2024</xref>). The role of institutions and rules is to form policy signals and behavioral boundaries, so that communication can achieve a balance between value orientation and ecological protection, reflecting the symbiotic logic of &#x201c;system-culture&#x201d; under the Chinese-style marine governance system.</p>
<p>4. Audience and demand. The audience and demand dimensions represent the social response mechanism of the communication system, including audience heterogeneity, ocean literacy/consumption intention, and purchasing power and tourism demand. Audience heterogeneity determine the differentiation of cultural acceptance and communication preferences. The values and cultural backgrounds of different groups affect the adaptability and resonance of communication content (<xref ref-type="bibr" rid="B5">Bastos et&#xa0;al., 2025</xref>; <xref ref-type="bibr" rid="B27">Kelly et&#xa0;al., 2022</xref>). Marine literacy and consumption willingness reflect the public&#x2019;s cognitive depth and willingness to act on marine ecological culture, which is the key link in the transformation of ecological culture into social practice (<xref ref-type="bibr" rid="B19">Fauville et&#xa0;al., 2025</xref>; <xref ref-type="bibr" rid="B32">McKinley et&#xa0;al., 2023</xref>). Purchasing power and tourism demand have expanded the market radius of cultural communication through economic will, and realized the derivative transformation of ecological value to consumer value (<xref ref-type="bibr" rid="B11">Chen and Zhang, 2023</xref>; <xref ref-type="bibr" rid="B28">Konu et&#xa0;al., 2025</xref>). This dimension shows that the sustainability of communication depends not only on the innovation of the supply side, but also on the perception, participation and feedback of the demand side.</p>
<p>5. Platforms and networks. The platform and network dimensions are dynamic intermediaries that connect communication elements and audience needs, which are mainly reflected in the media matrix and cross-sector coordination mechanism. The integration of multi-channel communication platforms makes the information flow more efficient and three-dimensional, and provides technical support for the multi-dimensional presentation of ecological and cultural content (<xref ref-type="bibr" rid="B19">Fauville et&#xa0;al., 2025</xref>). The cross-departmental coordination mechanism forms a communication network of co-gunance and sharing through the cooperation of the government, scientific research, education and social organizations (<xref ref-type="bibr" rid="B44">Soffietti et&#xa0;al., 2025</xref>). This dimension strengthens the integrity and resilience of the system, turns communication from &#x201c;single-point voice&#x201d; to &#x201c;network resonance&#x201d;, and promotes the communication of marine ecological culture into a new stage of governance, coordination and co-creation and sharing.</p>
</sec>
<sec id="s3_3">
<label>3.3</label>
<title>Theoretical saturation test</title>
<p>In order to verify whether the theoretical saturation obtained from this study has really achieved the expected effect, we used the same three steps to code and classify the remaining 10 literatures to verify whether the previous results were stable. Additionally, three experts specializing in marine cultural studies were invited to conduct an external review of the coding results, ensuring greater accuracy and credibility of the analytical outcomes. Throughout the supplementary coding and categorization process, no new logical categories emerged. Instead, through in-depth interpretation and synthesis of the existing results, we refined and streamlined the element classifications and logical framework derived from prior analysis. Consequently, on the basis of a comparative analysis of the research process outcomes, the theoretical saturation of this study is confirmed to have reached the expected standard.</p>
</sec>
</sec>
<sec id="s4">
<label>4</label>
<title>Identifying key factors influencing marine eco-cultural communication in Fujian province</title>
<sec id="s4_1">
<label>4.1</label>
<title>Procedure for identifying key factors</title>
<p>This study employs an analytical framework integrating the Grey-DEMATEL method. The DEMATEL approach is widely applied to identify the interrelationships and causal structures among factors within a complex system, whereas grey system theory effectively overcomes the limitations of expert-based scoring by addressing uncertainty and incomplete information. Therefore, this study introduces interval grey numbers from grey system theory to represent the degree of influence among factors. At the same time, we combine the interval grey number with DEMATEL to express the information obtained from the expert evaluation through the grey number decision-making model, which avoids the situation that the expert evaluation is too absolute, thus improving the objectivity of the data results. In summary, this study comprehensively uses the Grey-DEMATEL analysis method to conduct an in-depth analysis of the 13 influencing factors identified. The specific steps are as follows:</p>
<list list-type="order">
<list-item>
<p>Build an indicator system of influencing factors. In combination with the characteristics and objective reality of the dissemination of marine ecological culture in Fujian Province, we first establish an index system of factors affecting the dissemination of marine ecological culture, which serves as the prerequisite for the subsequent research on the identification of key factors.</p></list-item>
<list-item>
<p>Establish an initial relationship matrix. Invite experts and scholars with experience in research or practice in marine ecological culture communication and other fields to evaluate and score the relationship between factors affecting the marine ecological culture communication in Fujian Province, so as to establish an initial relationship matrix covering all influencing factors.</p></list-item>
<list-item>
<p>Constructing the grey matrix &#x2297;<italic>X.</italic> The interrelationships among the influencing factors were classified into five levels: no direct influence, weak influence, low influence, significant influence, and very strong influence. The linguistic variables used by the experts and scholars are presented in <xref ref-type="table" rid="T4"><bold>Table&#xa0;4</bold></xref>. Following this principle, the initial direct-relation matrix was converted into a grey matrix &#x2297;<italic>X</italic>. Given that the experts differed in their work experience, research specialization, and subjective understanding of the influencing factors of Marine Ecological Culture Communication, differentiated weights were assigned to their evaluations. The specific linguistic variables and weighting criteria for expert judgments are shown in <xref ref-type="table" rid="T4"><bold>Table&#xa0;4</bold></xref>.</p></list-item>
<list-item>
<p>Compute the direct-influence matrix <italic>A</italic>. Perform clarification of the grey matrix &#x2297;<italic>X</italic> according to <xref ref-type="disp-formula" rid="eq1">Equations 1</xref>&#x2013;<xref ref-type="disp-formula" rid="eq4">4</xref>, and obtain the direct-influence matrix <italic>A</italic>. Here, t denotes the number of experts.</p></list-item>
</list>
<table-wrap id="T4" position="float">
<label>Table&#xa0;4</label>
<caption>
<p>Semantic variables of expert evaluation and weight.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" colspan="3" align="center">Expert evaluation linguistic variables</th>
<th valign="middle" colspan="2" align="center">Expert weight linguistic variables</th>
</tr>
<tr>
<th valign="middle" align="center">Linguistic variable</th>
<th valign="middle" align="center">Interval grey number</th>
<th valign="middle" align="center">Evaluation value</th>
<th valign="middle" align="center">Linguistic variable</th>
<th valign="middle" align="center">Interval grey number</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="middle" align="left">No Direct Influence</td>
<td valign="middle" align="center">[0.00, 0.00]</td>
<td valign="middle" align="center">0</td>
<td valign="middle" align="left">Not Important</td>
<td valign="middle" align="center">[0.0, 0.3]</td>
</tr>
<tr>
<td valign="middle" align="left">Weak Influence</td>
<td valign="middle" align="center">[0.00, 0.25]</td>
<td valign="middle" align="center">1</td>
<td valign="middle" align="left">Slightly Unimportant</td>
<td valign="middle" align="center">[0.3, 0.5]</td>
</tr>
<tr>
<td valign="middle" align="left">Low Influence</td>
<td valign="middle" align="center">[0.25, 0.50]</td>
<td valign="middle" align="center">2</td>
<td valign="middle" align="left">Important</td>
<td valign="middle" align="center">[0.4, 0.7]</td>
</tr>
<tr>
<td valign="middle" align="left">Significant Influence</td>
<td valign="middle" align="center">[0.50, 0.75]</td>
<td valign="middle" align="center">3</td>
<td valign="middle" align="left">Relatively Important</td>
<td valign="middle" align="center">[0.5, 0.9]</td>
</tr>
<tr>
<td valign="middle" align="left">Extremely High Influence</td>
<td valign="middle" align="center">[0.75, 1.00]</td>
<td valign="middle" align="center">4</td>
<td valign="middle" align="left">Very Important</td>
<td valign="middle" align="center">[0.7, 1.0]</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>&#x2460; Standardize the upper and lower bounds of the grey numbers.</p>
<disp-formula id="eq1"><label>(1)</label>
<mml:math display="block" id="M1"><mml:mrow><mml:mtable equalrows="true" equalcolumns="true"><mml:mtr><mml:mtd><mml:mrow><mml:mtable columnalign="right" equalrows="true" equalcolumns="true"><mml:mtr columnalign="right"><mml:mtd columnalign="right"><mml:mrow><mml:mover accent="true"><mml:mo>&#x2297;</mml:mo><mml:mo>&#xaf;</mml:mo></mml:mover><mml:msubsup><mml:mover accent="true"><mml:mi>x</mml:mi><mml:mo>&#x2dc;</mml:mo></mml:mover><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow><mml:mi>t</mml:mi></mml:msubsup></mml:mrow></mml:mtd><mml:mtd columnalign="right"><mml:mrow><mml:mo>=</mml:mo><mml:mo>(</mml:mo><mml:mover accent="true"><mml:mo>&#x2297;</mml:mo><mml:mo>&#xaf;</mml:mo></mml:mover><mml:msubsup><mml:mover accent="true"><mml:mi>x</mml:mi><mml:mo>&#x2dc;</mml:mo></mml:mover><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow><mml:mi>t</mml:mi></mml:msubsup><mml:mo>&#x2212;</mml:mo><mml:mi>min</mml:mi><mml:mover accent="true"><mml:mo>&#x2297;</mml:mo><mml:mo>&#xaf;</mml:mo></mml:mover><mml:msubsup><mml:mover accent="true"><mml:mi>x</mml:mi><mml:mo>&#x2dc;</mml:mo></mml:mover><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow><mml:mi>t</mml:mi></mml:msubsup><mml:mo>)</mml:mo><mml:mo stretchy="false">/</mml:mo><mml:msubsup><mml:mstyle mathvariant="bold" mathsize="normal"><mml:mi>&#x394;</mml:mi></mml:mstyle><mml:mrow><mml:mi>min</mml:mi><mml:mo>&#xa0;</mml:mo></mml:mrow><mml:mrow><mml:mi>max</mml:mi><mml:mo>&#xa0;</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:mtd></mml:mtr><mml:mtr columnalign="right"><mml:mtd columnalign="right"><mml:mrow><mml:munder accentunder="true"><mml:mo>&#x2297;</mml:mo><mml:mo>_</mml:mo></mml:munder><mml:msubsup><mml:mover accent="true"><mml:mi>x</mml:mi><mml:mo>&#x2dc;</mml:mo></mml:mover><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow><mml:mi>t</mml:mi></mml:msubsup></mml:mrow></mml:mtd><mml:mtd columnalign="right"><mml:mrow><mml:mo>=</mml:mo><mml:mo>(</mml:mo><mml:munder accentunder="true"><mml:mo>&#x2297;</mml:mo><mml:mo>_</mml:mo></mml:munder><mml:msubsup><mml:mover accent="true"><mml:mi>x</mml:mi><mml:mo>&#x2dc;</mml:mo></mml:mover><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow><mml:mi>t</mml:mi></mml:msubsup><mml:mo>&#x2212;</mml:mo><mml:mi>min</mml:mi><mml:munder accentunder="true"><mml:mo>&#x2297;</mml:mo><mml:mo>_</mml:mo></mml:munder><mml:msubsup><mml:mover accent="true"><mml:mi>x</mml:mi><mml:mo>&#x2dc;</mml:mo></mml:mover><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow><mml:mi>t</mml:mi></mml:msubsup><mml:mo>)</mml:mo><mml:mo stretchy="false">/</mml:mo><mml:msubsup><mml:mstyle mathvariant="bold" mathsize="normal"><mml:mi>&#x394;</mml:mi></mml:mstyle><mml:mrow><mml:mi>min</mml:mi><mml:mo>&#xa0;</mml:mo></mml:mrow><mml:mrow><mml:mi>max</mml:mi><mml:mo>&#xa0;</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:mrow></mml:math>
</disp-formula>
<p>where <inline-formula>
<mml:math display="inline" id="im1"><mml:mrow><mml:mo>&#x2297;</mml:mo><mml:mi>x</mml:mi></mml:mrow></mml:math></inline-formula> represents an interval grey number with a range of [<inline-formula>
<mml:math display="inline" id="im2"><mml:mrow><mml:munder accentunder="true"><mml:mo>&#x2297;</mml:mo><mml:mo>_</mml:mo></mml:munder><mml:mi>x</mml:mi></mml:mrow></mml:math></inline-formula>, <inline-formula>
<mml:math display="inline" id="im3"><mml:mrow><mml:mo>&#xa0;</mml:mo><mml:mover accent="true"><mml:mo>&#x2297;</mml:mo><mml:mo>&#xaf;</mml:mo></mml:mover><mml:mi>x</mml:mi></mml:mrow></mml:math></inline-formula>], where <inline-formula>
<mml:math display="inline" id="im4"><mml:mrow><mml:mo>&#xa0;</mml:mo><mml:munder accentunder="true"><mml:mo>&#x2297;</mml:mo><mml:mo>_</mml:mo></mml:munder><mml:mi>x</mml:mi><mml:mo>&#xa0;</mml:mo><mml:mo>&#xa0;</mml:mo></mml:mrow></mml:math></inline-formula>is the lower bound and where <inline-formula>
<mml:math display="inline" id="im5"><mml:mrow><mml:mo>&#xa0;</mml:mo><mml:mover accent="true"><mml:mo>&#x2297;</mml:mo><mml:mo>&#xaf;</mml:mo></mml:mover><mml:mi>x</mml:mi><mml:mo>&#xa0;</mml:mo><mml:mo>&#xa0;</mml:mo></mml:mrow></mml:math></inline-formula>is the upper bound of the interval grey number. <inline-formula>
<mml:math display="inline" id="im6"><mml:mrow><mml:msubsup><mml:mi>x</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow><mml:mi>t</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> denotes the evaluation value given by expert <italic>t</italic> for the degree of influence of factor <italic>i</italic> on factor <italic>j</italic> in the context of Marine Ecological Culture Communication in Fujian Province. The relationship satisfies <inline-formula>
<mml:math display="inline" id="im7"><mml:mrow><mml:mo>&#x2297;</mml:mo><mml:msubsup><mml:mi>x</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow><mml:mi>t</mml:mi></mml:msubsup><mml:mo>&#x2208;</mml:mo><mml:mo stretchy="false">[</mml:mo><mml:munder accentunder="true"><mml:mo>&#x2297;</mml:mo><mml:mo>_</mml:mo></mml:munder><mml:msubsup><mml:mi>x</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow><mml:mi>t</mml:mi></mml:msubsup><mml:mo>,</mml:mo><mml:mover accent="true"><mml:mo>&#x2297;</mml:mo><mml:mo>&#xaf;</mml:mo></mml:mover><mml:msubsup><mml:mi>x</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow><mml:mi>t</mml:mi></mml:msubsup><mml:mo stretchy="false">]</mml:mo></mml:mrow></mml:math></inline-formula> and <inline-formula>
<mml:math display="inline" id="im8"><mml:mrow><mml:msubsup><mml:mstyle mathvariant="bold" mathsize="normal"><mml:mi>&#x394;</mml:mi></mml:mstyle><mml:mrow><mml:mi>min</mml:mi><mml:mo>&#xa0;</mml:mo></mml:mrow><mml:mrow><mml:mi>max</mml:mi><mml:mo>&#xa0;</mml:mo></mml:mrow></mml:msubsup><mml:mo>=</mml:mo><mml:mi>max</mml:mi><mml:mover accent="true"><mml:mo>&#x2297;</mml:mo><mml:mo>&#xaf;</mml:mo></mml:mover><mml:msubsup><mml:mi>x</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow><mml:mi>t</mml:mi></mml:msubsup><mml:mo>&#x2212;</mml:mo><mml:mi>min</mml:mi><mml:munder accentunder="true"><mml:mo>&#x2297;</mml:mo><mml:mo>_</mml:mo></mml:munder><mml:msubsup><mml:mi>x</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow><mml:mi>t</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula>.</p>
<p>&#x2461; Whitenization processing.</p>
<disp-formula id="eq2"><label>(2)</label>
<mml:math display="block" id="M2"><mml:mrow><mml:mtable equalrows="true" equalcolumns="true"><mml:mtr><mml:mtd><mml:mrow><mml:msubsup><mml:mi>Y</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow><mml:mi>t</mml:mi></mml:msubsup><mml:mo>=</mml:mo><mml:mfrac><mml:mrow><mml:mo>[</mml:mo><mml:munder accentunder="true"><mml:mo>&#x2297;</mml:mo><mml:mo>_</mml:mo></mml:munder><mml:msubsup><mml:mover accent="true"><mml:mi>x</mml:mi><mml:mo>&#x2dc;</mml:mo></mml:mover><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow><mml:mi>t</mml:mi></mml:msubsup><mml:mo>(</mml:mo><mml:mn>1</mml:mn><mml:mo>&#x2212;</mml:mo><mml:munder accentunder="true"><mml:mo>&#x2297;</mml:mo><mml:mo>_</mml:mo></mml:munder><mml:msubsup><mml:mover accent="true"><mml:mi>x</mml:mi><mml:mo>&#x2dc;</mml:mo></mml:mover><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow><mml:mi>t</mml:mi></mml:msubsup><mml:mo>)</mml:mo><mml:mo>+</mml:mo><mml:mo>(</mml:mo><mml:mover accent="true"><mml:mo>&#x2297;</mml:mo><mml:mo>&#xaf;</mml:mo></mml:mover><mml:msubsup><mml:mi>x</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow><mml:mi>t</mml:mi></mml:msubsup><mml:mo>&#xd7;</mml:mo><mml:mover accent="true"><mml:mo>&#x2297;</mml:mo><mml:mo>&#xaf;</mml:mo></mml:mover><mml:msubsup><mml:mover accent="true"><mml:mi>x</mml:mi><mml:mo>&#x2dc;</mml:mo></mml:mover><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow><mml:mi>t</mml:mi></mml:msubsup><mml:mo>)</mml:mo><mml:mo>]</mml:mo></mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:mn>1</mml:mn><mml:mo>&#x2212;</mml:mo><mml:munder accentunder="true"><mml:mo>&#x2297;</mml:mo><mml:mo>_</mml:mo></mml:munder><mml:msubsup><mml:mover accent="true"><mml:mi>x</mml:mi><mml:mo>&#x2dc;</mml:mo></mml:mover><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow><mml:mi>t</mml:mi></mml:msubsup><mml:mo>+</mml:mo><mml:mover accent="true"><mml:mo>&#x2297;</mml:mo><mml:mo>&#xaf;</mml:mo></mml:mover><mml:msubsup><mml:mover accent="true"><mml:mi>x</mml:mi><mml:mo>&#x2dc;</mml:mo></mml:mover><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow><mml:mi>t</mml:mi></mml:msubsup><mml:mo>)</mml:mo></mml:mrow></mml:mfrac></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:mrow></mml:math>
</disp-formula>
<p>&#x2462; Compute the clarified values.</p>
<disp-formula id="eq3"><label>(3)</label>
<mml:math display="block" id="M3"><mml:mrow><mml:mtable equalrows="true" equalcolumns="true"><mml:mtr><mml:mtd><mml:mrow><mml:msubsup><mml:mi>Z</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow><mml:mi>t</mml:mi></mml:msubsup><mml:mo>=</mml:mo><mml:mi>min</mml:mi><mml:munder accentunder="true"><mml:mo>&#x2297;</mml:mo><mml:mo>_</mml:mo></mml:munder><mml:msubsup><mml:mover accent="true"><mml:mi>x</mml:mi><mml:mo>&#x2dc;</mml:mo></mml:mover><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow><mml:mi>t</mml:mi></mml:msubsup><mml:mo>+</mml:mo><mml:msubsup><mml:mi>Y</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow><mml:mi>t</mml:mi></mml:msubsup><mml:msubsup><mml:mstyle mathvariant="bold" mathsize="normal"><mml:mi>&#x394;</mml:mi></mml:mstyle><mml:mrow><mml:mi>min</mml:mi><mml:mo>&#xa0;</mml:mo></mml:mrow><mml:mrow><mml:mi>max</mml:mi><mml:mo>&#xa0;</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:mrow></mml:math>
</disp-formula>
<p>&#x2463; Compute the weighted matrix <italic>A</italic> for the <italic>t</italic> experts (direct-influence matrix). Specifically, <italic>A<sub>ij</sub></italic> denotes the element located in the <italic>i</italic>-th row and <italic>j</italic>-th column of the weighted direct-influence matrix.</p>
<disp-formula id="eq4"><label>(4)</label>
<mml:math display="block" id="M4"><mml:mrow><mml:mtable equalrows="true" equalcolumns="true"><mml:mtr><mml:mtd><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>w</mml:mi><mml:mn>1</mml:mn></mml:msub><mml:msubsup><mml:mi>A</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow><mml:mn>1</mml:mn></mml:msubsup><mml:mo>+</mml:mo><mml:msub><mml:mi>w</mml:mi><mml:mn>2</mml:mn></mml:msub><mml:msubsup><mml:mi>A</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow><mml:mn>2</mml:mn></mml:msubsup><mml:mo>+</mml:mo><mml:mo>&#x2026;</mml:mo><mml:mo>+</mml:mo><mml:msub><mml:mi>w</mml:mi><mml:mi>n</mml:mi></mml:msub><mml:msubsup><mml:mi>A</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow><mml:mi>n</mml:mi></mml:msubsup></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:mrow></mml:math>
</disp-formula>
<p>The weighted matrix <italic>A</italic>&#x2014;that is, the direct influence matrix&#x2014;is calculated, where <italic>A<sub>ij</sub></italic> denotes the element in the <italic>i</italic>-th row and <italic>j</italic>-th column of the matrix, <inline-formula>
<mml:math display="inline" id="im9"><mml:mrow><mml:mstyle displaystyle="true"><mml:msubsup><mml:mo>&#x2211;</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn>1</mml:mn></mml:mrow><mml:mi>n</mml:mi></mml:msubsup><mml:mrow><mml:msub><mml:mi>w</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:mstyle><mml:mo>=</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:math></inline-formula>.</p>
<p>&#x2464; The comprehensive influence matrix <italic>T</italic> is calculated. The direct influence matrix <italic>A</italic> is normalized via <xref ref-type="disp-formula" rid="eq5">Equations 5</xref>&#x2013;<xref ref-type="disp-formula" rid="eq6">6</xref> to obtain the normalized direct influence matrix <italic>N</italic>. Subsequently, <xref ref-type="disp-formula" rid="eq7">Equation 7</xref> is applied to compute the comprehensive influence matrix <italic>T</italic>, where <italic>T</italic>=[<italic>t<sub>ij</sub></italic>]<italic><sub>m&#xd7;n</sub></italic> and where <italic>&#x3bb;<sub>i</sub></italic> (1, 2, etc., <italic>n</italic>) denotes the eigenvalues of the comprehensive influence matrix <italic>T</italic>.</p>
<disp-formula id="eq5"><label>(5)</label>
<mml:math display="block" id="M5"><mml:mrow><mml:mtable equalrows="true" equalcolumns="true"><mml:mtr><mml:mtd><mml:mrow><mml:mi>N</mml:mi><mml:mo>=</mml:mo><mml:mi>S</mml:mi><mml:mo>&#xd7;</mml:mo><mml:mi>A</mml:mi></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:mrow></mml:math>
</disp-formula>
<disp-formula id="eq6"><label>(6)</label>
<mml:math display="block" id="M6"><mml:mrow><mml:mtable equalrows="true" equalcolumns="true"><mml:mtr><mml:mtd><mml:mrow><mml:mi>S</mml:mi><mml:mo>=</mml:mo><mml:mfrac><mml:mn>1</mml:mn><mml:mrow><mml:munder><mml:mrow><mml:mi>max</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn><mml:mo>&#x2264;</mml:mo><mml:mi>t</mml:mi><mml:mo>&#x2264;</mml:mo><mml:mi>n</mml:mi></mml:mrow></mml:munder><mml:msubsup><mml:mstyle displaystyle="true"><mml:mo>&#x2211;</mml:mo></mml:mstyle><mml:mrow><mml:mi>j</mml:mi><mml:mo>=</mml:mo><mml:mn>1</mml:mn></mml:mrow><mml:mi>n</mml:mi></mml:msubsup><mml:msub><mml:mstyle mathsize="normal"><mml:mtext>A</mml:mtext></mml:mstyle><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mfrac></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:mrow></mml:math>
</disp-formula>
<disp-formula id="eq7"><label>(7)</label>
<mml:math display="block" id="M7"><mml:mrow><mml:mtable equalrows="true" equalcolumns="true"><mml:mtr><mml:mtd><mml:mrow><mml:mi>T</mml:mi><mml:mo>=</mml:mo><mml:mi>N</mml:mi><mml:mo>+</mml:mo><mml:msup><mml:mi>N</mml:mi><mml:mn>1</mml:mn></mml:msup><mml:mo>+</mml:mo><mml:msup><mml:mi>N</mml:mi><mml:mn>2</mml:mn></mml:msup><mml:mo>+</mml:mo><mml:mo>&#x22ef;</mml:mo><mml:mo>=</mml:mo><mml:mi>N</mml:mi><mml:msup><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mn>1</mml:mn><mml:mo>&#x2212;</mml:mo><mml:mi>N</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mrow><mml:mo>&#x2212;</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:mrow></mml:math>
</disp-formula>
<p>When |<italic>&#x3bb;<sub>i</sub></italic>|&lt;1&#x65f6;, lim<italic>N<sup>i</sup></italic>=[0]<italic><sub>m&#xd7;n</sub></italic>.</p>
<p>&#x2465; Calculation of the influence degree <italic>R<sub>i</sub></italic> and influence degree <italic>C<sub>j</sub></italic>. The influence degree <italic>R<sub>i</sub></italic> is obtained by summing the elements in the <italic>i</italic>-th row of the comprehensive influence matrix <italic>T</italic>, representing the combined direct and indirect effects exerted by factor i on all other factors affecting marine ecological culture communication in Fujian Province. The influence degree <italic>C<sub>j</sub></italic> is calculated by summing the elements in the <italic>j</italic>-th column of matrix <italic>T</italic>, reflecting the total direct and indirect effects received by factor <italic>j</italic> from all other factors influencing the development of the ecological culture industry.</p>
<disp-formula id="eq8"><label>(8)</label>
<mml:math display="block" id="M8"><mml:mrow><mml:mtable equalrows="true" equalcolumns="true"><mml:mtr><mml:mtd><mml:mrow><mml:msub><mml:mstyle mathsize="normal"><mml:mtext>R</mml:mtext></mml:mstyle><mml:mstyle mathsize="normal"><mml:mi>i</mml:mi></mml:mstyle></mml:msub><mml:mo>=</mml:mo><mml:munderover><mml:mo>&#x2211;</mml:mo><mml:mrow><mml:mstyle mathsize="normal"><mml:mi>j</mml:mi></mml:mstyle><mml:mo>=</mml:mo><mml:mn>1</mml:mn></mml:mrow><mml:mstyle mathsize="normal"><mml:mi>n</mml:mi></mml:mstyle></mml:munderover><mml:msub><mml:mstyle mathsize="normal"><mml:mi>t</mml:mi></mml:mstyle><mml:mrow><mml:mstyle mathsize="normal"><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mstyle></mml:mrow></mml:msub><mml:mo>,</mml:mo><mml:mtext>&#x2003;</mml:mtext><mml:msub><mml:mo>&#x2200;</mml:mo><mml:mstyle mathsize="normal"><mml:mi>i</mml:mi></mml:mstyle></mml:msub></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:mrow></mml:math>
</disp-formula>
<disp-formula id="eq9"><label>(9)</label>
<mml:math display="block" id="M9"><mml:mrow><mml:mtable equalrows="true" equalcolumns="true"><mml:mtr><mml:mtd><mml:mrow><mml:msub><mml:mstyle mathsize="normal"><mml:mtext>C</mml:mtext></mml:mstyle><mml:mstyle mathsize="normal"><mml:mi>j</mml:mi></mml:mstyle></mml:msub><mml:mo>=</mml:mo><mml:munderover><mml:mo>&#x2211;</mml:mo><mml:mrow><mml:mstyle mathsize="normal"><mml:mi>i</mml:mi></mml:mstyle><mml:mo>=</mml:mo><mml:mn>1</mml:mn></mml:mrow><mml:mstyle mathsize="normal"><mml:mi>n</mml:mi></mml:mstyle></mml:munderover><mml:msub><mml:mstyle mathsize="normal"><mml:mi>t</mml:mi></mml:mstyle><mml:mrow><mml:mstyle mathsize="normal"><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mstyle></mml:mrow></mml:msub><mml:mo>,</mml:mo><mml:mtext>&#x2003;</mml:mtext><mml:msub><mml:mo>&#x2200;</mml:mo><mml:mstyle mathsize="normal"><mml:mi>j</mml:mi></mml:mstyle></mml:msub></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:mrow></mml:math>
</disp-formula>
<p>&#x2466; Calculate the centrality degree <italic>P<sub>i</sub></italic> and the cause degree <italic>E<sub>i</sub></italic> for each influencing factor. The centrality degree <italic>P<sub>i</sub></italic> represents the position and overall influence of a factor within the system. A&#xa0;higher <italic>P<sub>i</sub></italic> value indicates a more important role. The cause degree <italic>E<sub>i</sub></italic> can be positive or negative. When <italic>E<sub>i</sub></italic>&gt;0, the factor has a stronger influence on others and is classified as a cause factor; when <italic>E<sub>i</sub></italic> &lt; 0, it is more affected by other factors and is classified as an effect factor.</p>
<disp-formula id="eq10"><label>(10)</label>
<mml:math display="block" id="M10"><mml:mrow><mml:mtable equalrows="true" equalcolumns="true"><mml:mtr><mml:mtd><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mo>{</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>C</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>&#x2223;</mml:mo><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mi>j</mml:mi><mml:mo>}</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:mrow></mml:math>
</disp-formula>
<disp-formula id="eq11"><label>(11)</label>
<mml:math display="block" id="M11"><mml:mrow><mml:mtable equalrows="true" equalcolumns="true"><mml:mtr><mml:mtd><mml:mrow><mml:msub><mml:mi>E</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mo>{</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>&#x2212;</mml:mo><mml:msub><mml:mi>C</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>&#x2223;</mml:mo><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mi>j</mml:mi><mml:mo>}</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:mrow></mml:math>
</disp-formula>
<p>&#x2467; Analyze the calculation results of the model. Take the cause degree and centrality as the horizontal and vertical coordinate axes respectively, construct the Cartesian right-angle coordinate system, draw a causal diagram of influencing factors, mark the position of each influencing factor at the same time, and analyze the causality and centrality of each factor with corresponding importance. A comprehensive analysis is carried out in combination with the ranking of influence, affected, center and cause, and finally effectively identifies the key factors affecting the dissemination of marine ecology and culture in Fujian Province.</p>
</sec>
<sec id="s4_2">
<label>4.2</label>
<title>Data analysis results based on the Grey-DEMATEL model</title>
<p>This study invited 22 regional experts in the fields of marine ecological governance, cultural heritage and communication, cultural tourism, and education to compare and score the indicators of the influencing factors based on the 13 factors extracted through grounded theory. These experts represented diverse disciplinary backgrounds, including marine governance, cultural studies, communication, tourism, and environmental policy. Their individual evaluations were subsequently synthesized through a weighted aggregation process to reduce potential individual bias and enhance the robustness of the results. Through <xref ref-type="table" rid="T4"><bold>Table&#xa0;4</bold></xref>, the expert scoring data is defuzzyed, combined with the expert weight, and the direct influence matrix <italic>A</italic> is calculated based on formula (1)-formula (5) as shown in <xref ref-type="table" rid="T5"><bold>Table&#xa0;5</bold></xref>.</p>
<table-wrap id="T5" position="float">
<label>Table&#xa0;5</label>
<caption>
<p>Direct impact matrix A.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" align="center">A</th>
<th valign="middle" align="center">A<sub>1</sub></th>
<th valign="middle" align="center">A<sub>2</sub></th>
<th valign="middle" align="center">A<sub>3</sub></th>
<th valign="middle" align="center">A<sub>4</sub></th>
<th valign="middle" align="center">A<sub>5</sub></th>
<th valign="middle" align="center">A<sub>6</sub></th>
<th valign="middle" align="center">A<sub>7</sub></th>
<th valign="middle" align="center">A<sub>8</sub></th>
<th valign="middle" align="center">A<sub>9</sub></th>
<th valign="middle" align="center">A<sub>10</sub></th>
<th valign="middle" align="center">A<sub>11</sub></th>
<th valign="middle" align="center">A<sub>12</sub></th>
<th valign="middle" align="center">A<sub>13</sub></th>
</tr>
</thead>
<tbody>
<tr>
<td valign="middle" align="center"><italic>A<sub>1</sub></italic></td>
<td valign="middle" align="center">0</td>
<td valign="middle" align="center">0.10</td>
<td valign="middle" align="center">0.09</td>
<td valign="middle" align="center">0.07</td>
<td valign="middle" align="center">0.06</td>
<td valign="middle" align="center">0.07</td>
<td valign="middle" align="center">0.08</td>
<td valign="middle" align="center">0.09</td>
<td valign="middle" align="center">0.09</td>
<td valign="middle" align="center">0.05</td>
<td valign="middle" align="center">0.07</td>
<td valign="middle" align="center">0.07</td>
<td valign="middle" align="center">0.06</td>
</tr>
<tr>
<td valign="middle" align="center"><italic>A<sub>2</sub></italic></td>
<td valign="middle" align="center">0.09</td>
<td valign="middle" align="center">0</td>
<td valign="middle" align="center">0.10</td>
<td valign="middle" align="center">0.08</td>
<td valign="middle" align="center">0.08</td>
<td valign="middle" align="center">0.07</td>
<td valign="middle" align="center">0.08</td>
<td valign="middle" align="center">0.09</td>
<td valign="middle" align="center">0.09</td>
<td valign="middle" align="center">0.06</td>
<td valign="middle" align="center">0.06</td>
<td valign="middle" align="center">0.06</td>
<td valign="middle" align="center">0.07</td>
</tr>
<tr>
<td valign="middle" align="center"><italic>A<sub>3</sub></italic></td>
<td valign="middle" align="center">0.09</td>
<td valign="middle" align="center">0.10</td>
<td valign="middle" align="center">0</td>
<td valign="middle" align="center">0.09</td>
<td valign="middle" align="center">0.08</td>
<td valign="middle" align="center">0.07</td>
<td valign="middle" align="center">0.09</td>
<td valign="middle" align="center">0.09</td>
<td valign="middle" align="center">0.09</td>
<td valign="middle" align="center">0.06</td>
<td valign="middle" align="center">0.07</td>
<td valign="middle" align="center">0.07</td>
<td valign="middle" align="center">0.07</td>
</tr>
<tr>
<td valign="middle" align="center"><italic>A<sub>4</sub></italic></td>
<td valign="middle" align="center">0.09</td>
<td valign="middle" align="center">0.09</td>
<td valign="middle" align="center">0.10</td>
<td valign="middle" align="center">0</td>
<td valign="middle" align="center">0.09</td>
<td valign="middle" align="center">0.09</td>
<td valign="middle" align="center">0.08</td>
<td valign="middle" align="center">0.09</td>
<td valign="middle" align="center">0.09</td>
<td valign="middle" align="center">0.05</td>
<td valign="middle" align="center">0.07</td>
<td valign="middle" align="center">0.07</td>
<td valign="middle" align="center">0.07</td>
</tr>
<tr>
<td valign="middle" align="center"><italic>A<sub>5</sub></italic></td>
<td valign="middle" align="center">0.07</td>
<td valign="middle" align="center">0.06</td>
<td valign="middle" align="center">0.08</td>
<td valign="middle" align="center">0.08</td>
<td valign="middle" align="center">0</td>
<td valign="middle" align="center">0.08</td>
<td valign="middle" align="center">0.08</td>
<td valign="middle" align="center">0.07</td>
<td valign="middle" align="center">0.07</td>
<td valign="middle" align="center">0.08</td>
<td valign="middle" align="center">0.08</td>
<td valign="middle" align="center">0.08</td>
<td valign="middle" align="center">0.08</td>
</tr>
<tr>
<td valign="middle" align="center"><italic>A<sub>6</sub></italic></td>
<td valign="middle" align="center">0.06</td>
<td valign="middle" align="center">0.06</td>
<td valign="middle" align="center">0.06</td>
<td valign="middle" align="center">0.07</td>
<td valign="middle" align="center">0.09</td>
<td valign="middle" align="center">0</td>
<td valign="middle" align="center">0.07</td>
<td valign="middle" align="center">0.07</td>
<td valign="middle" align="center">0.07</td>
<td valign="middle" align="center">0.07</td>
<td valign="middle" align="center">0.08</td>
<td valign="middle" align="center">0.07</td>
<td valign="middle" align="center">0.08</td>
</tr>
<tr>
<td valign="middle" align="center"><italic>A<sub>7</sub></italic></td>
<td valign="middle" align="center">0.08</td>
<td valign="middle" align="center">0.09</td>
<td valign="middle" align="center">0.10</td>
<td valign="middle" align="center">0.09</td>
<td valign="middle" align="center">0.10</td>
<td valign="middle" align="center">0.10</td>
<td valign="middle" align="center">0</td>
<td valign="middle" align="center">0.09</td>
<td valign="middle" align="center">0.09</td>
<td valign="middle" align="center">0.05</td>
<td valign="middle" align="center">0.06</td>
<td valign="middle" align="center">0.07</td>
<td valign="middle" align="center">0.09</td>
</tr>
<tr>
<td valign="middle" align="center"><italic>A<sub>8</sub></italic></td>
<td valign="middle" align="center">0.10</td>
<td valign="middle" align="center">0.10</td>
<td valign="middle" align="center">0.10</td>
<td valign="middle" align="center">0.07</td>
<td valign="middle" align="center">0.08</td>
<td valign="middle" align="center">0.07</td>
<td valign="middle" align="center">0.08</td>
<td valign="middle" align="center">0</td>
<td valign="middle" align="center">0.08</td>
<td valign="middle" align="center">0.05</td>
<td valign="middle" align="center">0.06</td>
<td valign="middle" align="center">0.06</td>
<td valign="middle" align="center">0.07</td>
</tr>
<tr>
<td valign="middle" align="center"><italic>A<sub>9</sub></italic></td>
<td valign="middle" align="center">0.09</td>
<td valign="middle" align="center">0.08</td>
<td valign="middle" align="center">0.09</td>
<td valign="middle" align="center">0.07</td>
<td valign="middle" align="center">0.07</td>
<td valign="middle" align="center">0.06</td>
<td valign="middle" align="center">0.07</td>
<td valign="middle" align="center">0.08</td>
<td valign="middle" align="center">0</td>
<td valign="middle" align="center">0.04</td>
<td valign="middle" align="center">0.06</td>
<td valign="middle" align="center">0.06</td>
<td valign="middle" align="center">0.07</td>
</tr>
<tr>
<td valign="middle" align="center"><italic>A<sub>10</sub></italic></td>
<td valign="middle" align="center">0.07</td>
<td valign="middle" align="center">0.06</td>
<td valign="middle" align="center">0.07</td>
<td valign="middle" align="center">0.07</td>
<td valign="middle" align="center">0.09</td>
<td valign="middle" align="center">0.07</td>
<td valign="middle" align="center">0.07</td>
<td valign="middle" align="center">0.07</td>
<td valign="middle" align="center">0.07</td>
<td valign="middle" align="center">0</td>
<td valign="middle" align="center">0.09</td>
<td valign="middle" align="center">0.08</td>
<td valign="middle" align="center">0.05</td>
</tr>
<tr>
<td valign="middle" align="center"><italic>A<sub>11</sub></italic></td>
<td valign="middle" align="center">0.07</td>
<td valign="middle" align="center">0.07</td>
<td valign="middle" align="center">0.07</td>
<td valign="middle" align="center">0.09</td>
<td valign="middle" align="center">0.08</td>
<td valign="middle" align="center">0.08</td>
<td valign="middle" align="center">0.08</td>
<td valign="middle" align="center">0.07</td>
<td valign="middle" align="center">0.07</td>
<td valign="middle" align="center">0.07</td>
<td valign="middle" align="center">0</td>
<td valign="middle" align="center">0.09</td>
<td valign="middle" align="center">0.08</td>
</tr>
<tr>
<td valign="middle" align="center"><italic>A<sub>12</sub></italic></td>
<td valign="middle" align="center">0.07</td>
<td valign="middle" align="center">0.08</td>
<td valign="middle" align="center">0.08</td>
<td valign="middle" align="center">0.09</td>
<td valign="middle" align="center">0.09</td>
<td valign="middle" align="center">0.08</td>
<td valign="middle" align="center">0.08</td>
<td valign="middle" align="center">0.07</td>
<td valign="middle" align="center">0.07</td>
<td valign="middle" align="center">0.08</td>
<td valign="middle" align="center">0.10</td>
<td valign="middle" align="center">0</td>
<td valign="middle" align="center">0.06</td>
</tr>
<tr>
<td valign="middle" align="center"><italic>A<sub>13</sub></italic></td>
<td valign="middle" align="center">0.05</td>
<td valign="middle" align="center">0.06</td>
<td valign="middle" align="center">0.07</td>
<td valign="middle" align="center">0.08</td>
<td valign="middle" align="center">0.08</td>
<td valign="middle" align="center">0.07</td>
<td valign="middle" align="center">0.07</td>
<td valign="middle" align="center">0.06</td>
<td valign="middle" align="center">0.07</td>
<td valign="middle" align="center">0.06</td>
<td valign="middle" align="center">0.07</td>
<td valign="middle" align="center">0.07</td>
<td valign="middle" align="center">0</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>The direct influence matrix <italic>A</italic> was normalized according to <xref ref-type="disp-formula" rid="eq6">Equation 6</xref> to form the standardized influence matrix. On the basis of <xref ref-type="disp-formula" rid="eq7">Equation 7</xref>, the standardized direct influence matrix was subsequently computed to obtain the comprehensive influence matrix <italic>T</italic>, as presented in <xref ref-type="table" rid="T6"><bold>Table&#xa0;6</bold></xref>.</p>
<table-wrap id="T6" position="float">
<label>Table&#xa0;6</label>
<caption>
<p>Comprehensive impact matrix T.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" align="center">A</th>
<th valign="middle" align="center">A<sub>1</sub></th>
<th valign="middle" align="center">A<sub>2</sub></th>
<th valign="middle" align="center">A<sub>3</sub></th>
<th valign="middle" align="center">A<sub>4</sub></th>
<th valign="middle" align="center">A<sub>5</sub></th>
<th valign="middle" align="center">A<sub>6</sub></th>
<th valign="middle" align="center">A<sub>7</sub></th>
<th valign="middle" align="center">A<sub>8</sub></th>
<th valign="middle" align="center">A<sub>9</sub></th>
<th valign="middle" align="center">A<sub>10</sub></th>
<th valign="middle" align="center">A<sub>11</sub></th>
<th valign="middle" align="center">A<sub>12</sub></th>
<th valign="middle" align="center">A<sub>13</sub></th>
</tr>
</thead>
<tbody>
<tr>
<td valign="middle" align="center"><italic>A<sub>1</sub></italic></td>
<td valign="middle" align="center">0.74</td>
<td valign="middle" align="center">0.84</td>
<td valign="middle" align="center">0.88</td>
<td valign="middle" align="center">0.81</td>
<td valign="middle" align="center">0.82</td>
<td valign="middle" align="center">0.77</td>
<td valign="middle" align="center">0.81</td>
<td valign="middle" align="center">0.82</td>
<td valign="middle" align="center">0.83</td>
<td valign="middle" align="center">0.62</td>
<td valign="middle" align="center">0.74</td>
<td valign="middle" align="center">0.72</td>
<td valign="middle" align="center">0.73</td>
</tr>
<tr>
<td valign="middle" align="center"><italic>A<sub>2</sub></italic></td>
<td valign="middle" align="center">0.86</td>
<td valign="middle" align="center">0.79</td>
<td valign="middle" align="center">0.93</td>
<td valign="middle" align="center">0.86</td>
<td valign="middle" align="center">0.88</td>
<td valign="middle" align="center">0.81</td>
<td valign="middle" align="center">0.86</td>
<td valign="middle" align="center">0.86</td>
<td valign="middle" align="center">0.87</td>
<td valign="middle" align="center">0.66</td>
<td valign="middle" align="center">0.77</td>
<td valign="middle" align="center">0.75</td>
<td valign="middle" align="center">0.77</td>
</tr>
<tr>
<td valign="middle" align="center"><italic>A<sub>3</sub></italic></td>
<td valign="middle" align="center">0.87</td>
<td valign="middle" align="center">0.88</td>
<td valign="middle" align="center">0.84</td>
<td valign="middle" align="center">0.87</td>
<td valign="middle" align="center">0.89</td>
<td valign="middle" align="center">0.81</td>
<td valign="middle" align="center">0.87</td>
<td valign="middle" align="center">0.86</td>
<td valign="middle" align="center">0.87</td>
<td valign="middle" align="center">0.66</td>
<td valign="middle" align="center">0.78</td>
<td valign="middle" align="center">0.76</td>
<td valign="middle" align="center">0.77</td>
</tr>
<tr>
<td valign="middle" align="center"><italic>A<sub>4</sub></italic></td>
<td valign="middle" align="center">0.87</td>
<td valign="middle" align="center">0.88</td>
<td valign="middle" align="center">0.93</td>
<td valign="middle" align="center">0.79</td>
<td valign="middle" align="center">0.89</td>
<td valign="middle" align="center">0.83</td>
<td valign="middle" align="center">0.86</td>
<td valign="middle" align="center">0.87</td>
<td valign="middle" align="center">0.88</td>
<td valign="middle" align="center">0.65</td>
<td valign="middle" align="center">0.78</td>
<td valign="middle" align="center">0.76</td>
<td valign="middle" align="center">0.78</td>
</tr>
<tr>
<td valign="middle" align="center"><italic>A<sub>5</sub></italic></td>
<td valign="middle" align="center">0.80</td>
<td valign="middle" align="center">0.81</td>
<td valign="middle" align="center">0.87</td>
<td valign="middle" align="center">0.82</td>
<td valign="middle" align="center">0.77</td>
<td valign="middle" align="center">0.78</td>
<td valign="middle" align="center">0.81</td>
<td valign="middle" align="center">0.81</td>
<td valign="middle" align="center">0.81</td>
<td valign="middle" align="center">0.64</td>
<td valign="middle" align="center">0.75</td>
<td valign="middle" align="center">0.73</td>
<td valign="middle" align="center">0.75</td>
</tr>
<tr>
<td valign="middle" align="center"><italic>A<sub>6</sub></italic></td>
<td valign="middle" align="center">0.76</td>
<td valign="middle" align="center">0.77</td>
<td valign="middle" align="center">0.81</td>
<td valign="middle" align="center">0.78</td>
<td valign="middle" align="center">0.81</td>
<td valign="middle" align="center">0.67</td>
<td valign="middle" align="center">0.77</td>
<td valign="middle" align="center">0.77</td>
<td valign="middle" align="center">0.77</td>
<td valign="middle" align="center">0.61</td>
<td valign="middle" align="center">0.71</td>
<td valign="middle" align="center">0.69</td>
<td valign="middle" align="center">0.71</td>
</tr>
<tr>
<td valign="middle" align="center"><italic>A<sub>7</sub></italic></td>
<td valign="middle" align="center">0.89</td>
<td valign="middle" align="center">0.90</td>
<td valign="middle" align="center">0.96</td>
<td valign="middle" align="center">0.90</td>
<td valign="middle" align="center">0.93</td>
<td valign="middle" align="center">0.86</td>
<td valign="middle" align="center">0.81</td>
<td valign="middle" align="center">0.89</td>
<td valign="middle" align="center">0.90</td>
<td valign="middle" align="center">0.68</td>
<td valign="middle" align="center">0.80</td>
<td valign="middle" align="center">0.79</td>
<td valign="middle" align="center">0.82</td>
</tr>
<tr>
<td valign="middle" align="center"><italic>A<sub>8</sub></italic></td>
<td valign="middle" align="center">0.84</td>
<td valign="middle" align="center">0.85</td>
<td valign="middle" align="center">0.89</td>
<td valign="middle" align="center">0.81</td>
<td valign="middle" align="center">0.84</td>
<td valign="middle" align="center">0.77</td>
<td valign="middle" align="center">0.82</td>
<td valign="middle" align="center">0.75</td>
<td valign="middle" align="center">0.83</td>
<td valign="middle" align="center">0.62</td>
<td valign="middle" align="center">0.74</td>
<td valign="middle" align="center">0.72</td>
<td valign="middle" align="center">0.74</td>
</tr>
<tr>
<td valign="middle" align="center"><italic>A<sub>9</sub></italic></td>
<td valign="middle" align="center">0.76</td>
<td valign="middle" align="center">0.77</td>
<td valign="middle" align="center">0.82</td>
<td valign="middle" align="center">0.75</td>
<td valign="middle" align="center">0.77</td>
<td valign="middle" align="center">0.71</td>
<td valign="middle" align="center">0.75</td>
<td valign="middle" align="center">0.76</td>
<td valign="middle" align="center">0.69</td>
<td valign="middle" align="center">0.57</td>
<td valign="middle" align="center">0.68</td>
<td valign="middle" align="center">0.66</td>
<td valign="middle" align="center">0.68</td>
</tr>
<tr>
<td valign="middle" align="center"><italic>A<sub>10</sub></italic></td>
<td valign="middle" align="center">0.77</td>
<td valign="middle" align="center">0.78</td>
<td valign="middle" align="center">0.83</td>
<td valign="middle" align="center">0.78</td>
<td valign="middle" align="center">0.82</td>
<td valign="middle" align="center">0.74</td>
<td valign="middle" align="center">0.78</td>
<td valign="middle" align="center">0.78</td>
<td valign="middle" align="center">0.79</td>
<td valign="middle" align="center">0.55</td>
<td valign="middle" align="center">0.73</td>
<td valign="middle" align="center">0.71</td>
<td valign="middle" align="center">0.70</td>
</tr>
<tr>
<td valign="middle" align="center"><italic>A<sub>11</sub></italic></td>
<td valign="middle" align="center">0.83</td>
<td valign="middle" align="center">0.84</td>
<td valign="middle" align="center">0.89</td>
<td valign="middle" align="center">0.86</td>
<td valign="middle" align="center">0.87</td>
<td valign="middle" align="center">0.80</td>
<td valign="middle" align="center">0.84</td>
<td valign="middle" align="center">0.83</td>
<td valign="middle" align="center">0.84</td>
<td valign="middle" align="center">0.65</td>
<td valign="middle" align="center">0.70</td>
<td valign="middle" align="center">0.76</td>
<td valign="middle" align="center">0.76</td>
</tr>
<tr>
<td valign="middle" align="center"><italic>A<sub>12</sub></italic></td>
<td valign="middle" align="center">0.86</td>
<td valign="middle" align="center">0.88</td>
<td valign="middle" align="center">0.93</td>
<td valign="middle" align="center">0.89</td>
<td valign="middle" align="center">0.91</td>
<td valign="middle" align="center">0.83</td>
<td valign="middle" align="center">0.87</td>
<td valign="middle" align="center">0.86</td>
<td valign="middle" align="center">0.87</td>
<td valign="middle" align="center">0.69</td>
<td valign="middle" align="center">0.81</td>
<td valign="middle" align="center">0.71</td>
<td valign="middle" align="center">0.78</td>
</tr>
<tr>
<td valign="middle" align="center"><italic>A<sub>13</sub></italic></td>
<td valign="middle" align="center">0.72</td>
<td valign="middle" align="center">0.74</td>
<td valign="middle" align="center">0.79</td>
<td valign="middle" align="center">0.75</td>
<td valign="middle" align="center">0.77</td>
<td valign="middle" align="center">0.70</td>
<td valign="middle" align="center">0.74</td>
<td valign="middle" align="center">0.73</td>
<td valign="middle" align="center">0.74</td>
<td valign="middle" align="center">0.57</td>
<td valign="middle" align="center">0.68</td>
<td valign="middle" align="center">0.66</td>
<td valign="middle" align="center">0.61</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>On the basis of the data presented in <xref ref-type="table" rid="T6"><bold>Table&#xa0;6</bold></xref>, the influence degree (<italic>R<sub>i</sub></italic>) and influence degree (<italic>C<sub>j</sub></italic>) were calculated via <xref ref-type="disp-formula" rid="eq8">Equations 8</xref>&#x2013;<xref ref-type="disp-formula" rid="eq9">9</xref>. The centrality degree (<italic>P<sub>i</sub></italic>) and cause degree (<italic>E<sub>i</sub></italic>) were subsequently derived according to <xref ref-type="disp-formula" rid="eq10">Equations 10</xref>&#x2013;<xref ref-type="disp-formula" rid="eq11">11</xref>. The computed results are shown in <xref ref-type="table" rid="T7"><bold>Table&#xa0;7</bold></xref>.</p>
<table-wrap id="T7" position="float">
<label>Table&#xa0;7</label>
<caption>
<p>Influence, affected, centrality, cause and ranking.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" rowspan="2" align="left">Influencing factors</th>
<th valign="middle" colspan="2" align="center">Influence degree</th>
<th valign="middle" colspan="2" align="center">Influenced degree</th>
<th valign="middle" colspan="2" align="center">Centrality degree</th>
<th valign="middle" colspan="3" align="center">Cause degree</th>
</tr>
<tr>
<th valign="middle" align="center">(<italic>R</italic>)</th>
<th valign="middle" align="center">Rank</th>
<th valign="middle" align="center">(<italic>C</italic>)</th>
<th valign="middle" align="center">Rank</th>
<th valign="middle" align="center">(<italic>R+C</italic>)</th>
<th valign="middle" align="center">Rank</th>
<th valign="middle" align="center">(<italic>R-C</italic>)</th>
<th valign="middle" align="center">Rank</th>
<th valign="middle" align="center">Type</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="middle" align="left"><italic>A<sub>1</sub></italic></td>
<td valign="middle" align="center">0.909</td>
<td valign="middle" align="center">9</td>
<td valign="middle" align="center">0.929</td>
<td valign="middle" align="center">8</td>
<td valign="middle" align="center">1.874</td>
<td valign="middle" align="center">7</td>
<td valign="middle" align="center">-0.428</td>
<td valign="middle" align="center">9</td>
<td valign="middle" align="center">Result Factor</td>
</tr>
<tr>
<td valign="middle" align="left"><italic>A<sub>2</sub></italic></td>
<td valign="middle" align="center">0.956</td>
<td valign="middle" align="center">5</td>
<td valign="middle" align="center">0.945</td>
<td valign="middle" align="center">3</td>
<td valign="middle" align="center">1.937</td>
<td valign="middle" align="center">4</td>
<td valign="middle" align="center">-0.078</td>
<td valign="middle" align="center">6</td>
<td valign="middle" align="center">Result Factor</td>
</tr>
<tr>
<td valign="middle" align="left"><italic>A<sub>3</sub></italic></td>
<td valign="middle" align="center">0.962</td>
<td valign="middle" align="center">4</td>
<td valign="middle" align="center">1</td>
<td valign="middle" align="center">1</td>
<td valign="middle" align="center">2</td>
<td valign="middle" align="center">1</td>
<td valign="middle" align="center">-0.640</td>
<td valign="middle" align="center">11</td>
<td valign="middle" align="center">Result Factor</td>
</tr>
<tr>
<td valign="middle" align="left"><italic>A<sub>4</sub></italic></td>
<td valign="middle" align="center">0.966</td>
<td valign="middle" align="center">3</td>
<td valign="middle" align="center">0.939</td>
<td valign="middle" align="center">5</td>
<td valign="middle" align="center">1.943</td>
<td valign="middle" align="center">3</td>
<td valign="middle" align="center">0.102</td>
<td valign="middle" align="center">5</td>
<td valign="middle" align="center">Causal Factor</td>
</tr>
<tr>
<td valign="middle" align="left"><italic>A<sub>5</sub></italic></td>
<td valign="middle" align="center">0.912</td>
<td valign="middle" align="center">8</td>
<td valign="middle" align="center">0.966</td>
<td valign="middle" align="center">2</td>
<td valign="middle" align="center">1.914</td>
<td valign="middle" align="center">5</td>
<td valign="middle" align="center">-0.811</td>
<td valign="middle" align="center">12</td>
<td valign="middle" align="center">Result Factor</td>
</tr>
<tr>
<td valign="middle" align="left"><italic>A<sub>6</sub></italic></td>
<td valign="middle" align="center">0.865</td>
<td valign="middle" align="center">11</td>
<td valign="middle" align="center">0.887</td>
<td valign="middle" align="center">9</td>
<td valign="middle" align="center">1.786</td>
<td valign="middle" align="center">11</td>
<td valign="middle" align="center">-0.440</td>
<td valign="middle" align="center">10</td>
<td valign="middle" align="center">Result Factor</td>
</tr>
<tr>
<td valign="middle" align="left"><italic>A<sub>7</sub></italic></td>
<td valign="middle" align="center">1</td>
<td valign="middle" align="center">1</td>
<td valign="middle" align="center">0.933</td>
<td valign="middle" align="center">6</td>
<td valign="middle" align="center">1.970</td>
<td valign="middle" align="center">2</td>
<td valign="middle" align="center">0.544</td>
<td valign="middle" align="center">4</td>
<td valign="middle" align="center">Causal Factor</td>
</tr>
<tr>
<td valign="middle" align="left"><italic>A<sub>8</sub></italic></td>
<td valign="middle" align="center">0.916</td>
<td valign="middle" align="center">7</td>
<td valign="middle" align="center">0.931</td>
<td valign="middle" align="center">7</td>
<td valign="middle" align="center">1.884</td>
<td valign="middle" align="center">6</td>
<td valign="middle" align="center">-0.365</td>
<td valign="middle" align="center">7</td>
<td valign="middle" align="center">Result Factor</td>
</tr>
<tr>
<td valign="middle" align="left"><italic>A<sub>9</sub></italic></td>
<td valign="middle" align="center">0.841</td>
<td valign="middle" align="center">12</td>
<td valign="middle" align="center">0.940</td>
<td valign="middle" align="center">4</td>
<td valign="middle" align="center">1.817</td>
<td valign="middle" align="center">10</td>
<td valign="middle" align="center">-1.311</td>
<td valign="middle" align="center">13</td>
<td valign="middle" align="center">Result Factor</td>
</tr>
<tr>
<td valign="middle" align="left"><italic>A<sub>10</sub></italic></td>
<td valign="middle" align="center">0.875</td>
<td valign="middle" align="center">10</td>
<td valign="middle" align="center">0.719</td>
<td valign="middle" align="center">13</td>
<td valign="middle" align="center">1.623</td>
<td valign="middle" align="center">13</td>
<td valign="middle" align="center">1.582</td>
<td valign="middle" align="center">1</td>
<td valign="middle" align="center">Causal Factor</td>
</tr>
<tr>
<td valign="middle" align="left"><italic>A<sub>11</sub></italic></td>
<td valign="middle" align="center">0.939</td>
<td valign="middle" align="center">6</td>
<td valign="middle" align="center">0.851</td>
<td valign="middle" align="center">10</td>
<td valign="middle" align="center">1.823</td>
<td valign="middle" align="center">9</td>
<td valign="middle" align="center">0.799</td>
<td valign="middle" align="center">3</td>
<td valign="middle" align="center">Causal Factor</td>
</tr>
<tr>
<td valign="middle" align="left"><italic>A<sub>12</sub></italic></td>
<td valign="middle" align="center">0.976</td>
<td valign="middle" align="center">2</td>
<td valign="middle" align="center">0.829</td>
<td valign="middle" align="center">12</td>
<td valign="middle" align="center">1.839</td>
<td valign="middle" align="center">8</td>
<td valign="middle" align="center">1.456</td>
<td valign="middle" align="center">2</td>
<td valign="middle" align="center">Causal Factor</td>
</tr>
<tr>
<td valign="middle" align="left"><italic>A<sub>13</sub></italic></td>
<td valign="middle" align="center">0.824</td>
<td valign="middle" align="center">13</td>
<td valign="middle" align="center">0.845</td>
<td valign="middle" align="center">11</td>
<td valign="middle" align="center">1.701</td>
<td valign="middle" align="center">12</td>
<td valign="middle" align="center">-0.409</td>
<td valign="middle" align="center">8</td>
<td valign="middle" align="center">Result Factor</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>Using centrality (<italic>P<sub>i</sub></italic>) and cause degree (<italic>E<sub>i</sub></italic>) as the horizontal and vertical axes, a &#x201c;cause&#x2013;effect&#x201d; distribution map of the influencing factors in marine ecological culture communication in Fujian Province was plotted, as 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>&#x201c;Cause&#x2013;Effect&#x201d; diagram of key influencing factors in marine ecological culture communication in Fujian Province.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-12-1764627-g001.tif">
<alt-text content-type="machine-generated">Scatter plot showing dots representing causal and result factors. The x-axis is Centrality (R+C), and the y-axis is Causality (R&#x2212;C). Blue dots are causal factors, and purple dots are result factors. Labels A1 to A13 are scattered across the plot, with causal factors above the y-axis midpoint and result factors mostly below.</alt-text>
</graphic></fig>
</sec>
</sec>
<sec id="s5">
<label>5</label>
<title>Analysis of the influencing factors in marine ecological culture communication in Fujian province</title>
<sec id="s5_1">
<label>5.1</label>
<title>Causal factor analysis</title>
<p>On the basis of the results presented in <xref ref-type="table" rid="T6"><bold>Table&#xa0;6</bold></xref> and <xref ref-type="fig" rid="f1"><bold>Figure&#xa0;1</bold></xref>, the interactions and interconnections among the 13 influencing factors of marine ecological culture communication in Fujian Province can be identified. Among them, A<sub>4</sub> (capital investment), A<sub>7</sub> (government incentives and support), A<sub>10</sub> (audience heterogeneity), A<sub>11</sub> (ocean literacy/consumption intention), and A<sub>12</sub> (purchasing power and tourism demand) exhibit positive degrees of cause (<italic>E<sub>i</sub></italic>&gt;0) and are therefore classified as causal factors. Overall, the causal factors of marine ecological culture communication in Fujian Province are mainly concentrated in the elements and supply and audience and demand dimensions, reflecting a dual supply&#x2013;demand interaction pattern. Among these, audience heterogeneity, purchasing power and tourism demand, and ocean literacy/consumption intention occupy upstream positions within the structural framework, showing strong driving and guiding effects. These three factors not only directly affect the content choice and form preference of communication, but also indirectly shape the expression and synergy of other elements by affecting the public&#x2019;s cognitive structure and behavioral intention. These demand-side factors exhibit both short-term responsiveness to communication stimuli and longer-term influence by shaping stable participation patterns, consumption preferences, and cultural identification. Audience heterogeneity reflect the hierarchical characteristics of different groups in terms of cultural identity, value orientation and information reception. This difference determines the differentiation and adaptability of the communication process, which is a key prerequisite for the accuracy and diversification of marine ecological cultural communication. The ability to pay and the demand for tourism reflect the motives of cultural consumption under economic constraints, which has an amplifying effect on the market space and transformation efficiency of communication; its improvement not only depends on the income level, but also on the public&#x2019;s awareness of the value of ecological products and cultural experience. The rise of marine literacy and willingness to consume means that the public has changed from passive acceptance to active participation, promoting the transformation from &#x201c;external advocacy&#x201d; to &#x201c;endogenous dissemination&#x201d;.</p>
</sec>
<sec id="s5_2">
<label>5.2</label>
<title>Result factor analysis</title>
<p>Based on the data in <xref ref-type="table" rid="T6"><bold>Table&#xa0;6</bold></xref> and <xref ref-type="fig" rid="f1"><bold>Figure&#xa0;1</bold></xref>, eight factors have negative cause degrees (<italic>E<sub>i</sub></italic> &lt; 0). These include A<sub>1</sub> (diversity of marine eco-cultural resources), A<sub>2</sub> (abundance of marine eco-cultural resources), A<sub>3</sub> (value of marine eco-cultural resources), A<sub>5</sub> (innovation/digital communication elements), A<sub>6</sub> (talent and scenario infrastructure), A<sub>8</sub> (resource protection constraints), A<sub>9</sub> (coastal red lines and heritage regulation), and A<sub>13</sub> (media matrix and cross-sector coordination). The result factors as a whole reflect the links in the marine ecological and cultural communication system of Fujian Province that are strongly influenced by external drives and upstream factors, mainly focusing on the resource and content levels and the institutional and communication support levels. Among them, the value of marine eco-cultural resources, innovation/digital communication elements and the abundance of marine eco-cultural resources are the most affected, which shows that these factors bear the key function of &#x201c;undertaking-transformation-diffusion&#x201d; in the system. As the core content carrier of communication, the value of marine eco-cultural resources directly determines the depth and continuity of cultural communication. However, marine ecological and cultural resources do not directly generate communication effects. Their influence materializes through processes of content selection, narrative framing, and media translation. In Fujian, ecological restoration outcomes, heritage landscapes, and marine cultural symbols are transformed into communication content via institutional guidance, digital mediation, and experiential design, enabling resource value to be cognitively perceived and socially disseminated. Its improvement depends not only on resource endowment itself, but also on the external stimulation of policy guidance and capital investment. The abundance of marine eco-cultural resources reflects the stability and diversity of content supply, which is the basis for ensuring the sustainable development of the communication system. Innovation and digital communication elements play the role of &#x201c;catalyst&#x201d;. Through technological empowerment, formal innovation and media integration, they promote the multi-channel presentation and social diffusion of resource value, making communication more immersive and interactive.</p>
</sec>
<sec id="s5_3">
<label>5.3</label>
<title>Analysis of key influencing factors</title>
<p>The centrality of each factor in the system reflects its relative importance; larger values of centrality (<italic>R</italic>+<italic>C</italic>) are positively associated with the importance of the factor. In identifying key influencing factors, it is also necessary to consider the rankings of the degree of influence (<italic>R</italic>) and the degree of influence (<italic>C</italic>) jointly. By integrating the rankings of <italic>R</italic>, <italic>C</italic>, centrality, and degree of cause, we conduct a comprehensive assessment and thereby identify the key factors shaping marine ecological culture communication in Fujian Province. The results are reported in <xref ref-type="table" rid="T8"><bold>Table&#xa0;8</bold></xref>.</p>
<table-wrap id="T8" position="float">
<label>Table&#xa0;8</label>
<caption>
<p>Identification results of key influencing factors.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" align="center">Factor</th>
<th valign="middle" align="center">Centrality ranking</th>
<th valign="middle" align="center">Causality ranking</th>
<th valign="middle" align="center">Influence degree ranking</th>
<th valign="middle" align="center">Influenced degree ranking</th>
<th valign="middle" align="center">Key influencing factor</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="middle" align="center"><italic>A<sub>3</sub></italic></td>
<td valign="middle" align="center">1</td>
<td valign="middle" align="center">11</td>
<td valign="middle" align="center">4</td>
<td valign="middle" align="center">1</td>
<td valign="middle" align="center">Yes</td>
</tr>
<tr>
<td valign="middle" align="center"><italic>A<sub>7</sub></italic></td>
<td valign="middle" align="center">2</td>
<td valign="middle" align="center">4</td>
<td valign="middle" align="center">1</td>
<td valign="middle" align="center">6</td>
<td valign="middle" align="center">Yes</td>
</tr>
<tr>
<td valign="middle" align="center"><italic>A<sub>4</sub></italic></td>
<td valign="middle" align="center">3</td>
<td valign="middle" align="center">5</td>
<td valign="middle" align="center">3</td>
<td valign="middle" align="center">5</td>
<td valign="middle" align="center">Yes</td>
</tr>
<tr>
<td valign="middle" align="center"><italic>A<sub>2</sub></italic></td>
<td valign="middle" align="center">4</td>
<td valign="middle" align="center">6</td>
<td valign="middle" align="center">5</td>
<td valign="middle" align="center">3</td>
<td valign="middle" align="center">Yes</td>
</tr>
<tr>
<td valign="middle" align="center"><italic>A<sub>5</sub></italic></td>
<td valign="middle" align="center">5</td>
<td valign="middle" align="center">12</td>
<td valign="middle" align="center">8</td>
<td valign="middle" align="center">2</td>
<td valign="middle" align="center">Yes</td>
</tr>
<tr>
<td valign="middle" align="center"><italic>A<sub>8</sub></italic></td>
<td valign="middle" align="center">6</td>
<td valign="middle" align="center">7</td>
<td valign="middle" align="center">7</td>
<td valign="middle" align="center">7</td>
<td valign="middle" align="center">No</td>
</tr>
<tr>
<td valign="middle" align="center"><italic>A<sub>1</sub></italic></td>
<td valign="middle" align="center">7</td>
<td valign="middle" align="center">9</td>
<td valign="middle" align="center">9</td>
<td valign="middle" align="center">8</td>
<td valign="middle" align="center">No</td>
</tr>
<tr>
<td valign="middle" align="center"><italic>A<sub>12</sub></italic></td>
<td valign="middle" align="center">8</td>
<td valign="middle" align="center">2</td>
<td valign="middle" align="center">2</td>
<td valign="middle" align="center">12</td>
<td valign="middle" align="center">Yes</td>
</tr>
<tr>
<td valign="middle" align="center"><italic>A<sub>11</sub></italic></td>
<td valign="middle" align="center">9</td>
<td valign="middle" align="center">3</td>
<td valign="middle" align="center">6</td>
<td valign="middle" align="center">10</td>
<td valign="middle" align="center">Yes</td>
</tr>
<tr>
<td valign="middle" align="center"><italic>A<sub>9</sub></italic></td>
<td valign="middle" align="center">10</td>
<td valign="middle" align="center">13</td>
<td valign="middle" align="center">12</td>
<td valign="middle" align="center">4</td>
<td valign="middle" align="center">No</td>
</tr>
<tr>
<td valign="middle" align="center"><italic>A<sub>6</sub></italic></td>
<td valign="middle" align="center">11</td>
<td valign="middle" align="center">10</td>
<td valign="middle" align="center">11</td>
<td valign="middle" align="center">9</td>
<td valign="middle" align="center">No</td>
</tr>
<tr>
<td valign="middle" align="center"><italic>A<sub>13</sub></italic></td>
<td valign="middle" align="center">12</td>
<td valign="middle" align="center">8</td>
<td valign="middle" align="center">13</td>
<td valign="middle" align="center">11</td>
<td valign="middle" align="center">No</td>
</tr>
<tr>
<td valign="middle" align="center"><italic>A<sub>10</sub></italic></td>
<td valign="middle" align="center">13</td>
<td valign="middle" align="center">1</td>
<td valign="middle" align="center">10</td>
<td valign="middle" align="center">13</td>
<td valign="middle" align="center">No</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>The top five factors by centrality are the A<sub>3</sub> value of marine eco-cultural resources, A<sub>7</sub> government incentives and support, A<sub>4</sub> capital investment, A<sub>2</sub> abundance of marine eco-cultural resources, and A<sub>5</sub> innovation/digital communication elements. This pattern indicates that institutional supply and resource endowment remain the core logic of the system, whereas capital and innovation act as critical amplifiers in the external incentive mechanism. Specifically, A<sub>3</sub> value of marine eco-cultural resources holds a central position in the system. It serves as a key link connecting ecological resources with communication practices. Its high centrality and high influenced degree show that resource value&#xa0;not only determines the appeal and cultural depth of communication content, but also spreads significantly under the influence of external policies and capital., A<sub>7</sub> government incentives and Support serve as institutional drivers that significantly guide and shape the communication system. Through policy incentives, agenda setting, and resource allocation, they establish a legitimate framework for communication activities. These &#x201c;institutional signals&#x201d; influence capital flows and social participation, reflecting how policy logic comes before market logic in China&#x2019;s approach to ecological culture communication. A<sub>4</sub> capital investment functions as the economic foundation of the communication system. It works as a bridge between policy and resources. Its high centrality shows it plays a key supporting role in content production, tech innovation, and communication infrastructure. However, it relies heavily on the policy environment, showing what we call &#x201c;policy-dependent&#x201d; characteristics. The high centrality of A<sub>2</sub> abundance of marine eco-cultural resources and A<sub>5</sub> innovation/digital communication elements highlights the synergistic tension between supply and innovation. Resource abundance ensures continuous and meaningful content. Innovation and digital elements use modern technologies like digital tools and interactive experiences to expand communication reach. This helps cultural communication evolve from one-way messaging to collaborative creation.</p>
</sec>
</sec>
<sec id="s6" sec-type="discussion">
<label>6</label>
<title>Discussion</title>
<p>Although marine ecological culture communication involves governmental, market, and social actors, this study primarily emphasizes governmental actors as institutional drivers, while treating market participants and social organizations as responsive and co-evolving actors within the system. Based on the Grey-DEMATEL model, this study reveals the multi-dimensional coupling structure and key influence path of the marine ecological and cultural communication system in Fujian Province, confirming that the marine ecological and cultural communication is not a linear diffusion, but a complex system driven by the interaction of multiple elements of the system, innovation, resources, demand and platform. This finding echoes the assertion of <xref ref-type="bibr" rid="B20">Flannery et&#xa0;al. (2022)</xref> that the governance of marine cultural heritage needs to rely on &#x201c;institutional resilience and multi-scale coupling&#x201d;, indicating that the sustainability of marine ecological cultural communication depends on structural institutional supply and dynamic network coordination (<xref ref-type="bibr" rid="B20">Flannery et&#xa0;al., 2022</xref>).</p>
<p>1. In terms of institutions and rules, the study found that &#x201c;Government Incentives and Support&#x201d; has the highest degree of reason and is the structural driving force that links innovation, capital and public participation. This conclusion confirms that <xref ref-type="bibr" rid="B14">Choi et&#xa0;al. (2022)</xref> on the intermediary role of China&#x2019;s &#x201c;ecological protection red line&#x201d; system in balancing ecological protection and regional development (<xref ref-type="bibr" rid="B14">Choi et&#xa0;al., 2022</xref>), and is also consistent with the &#x201c;Marine Ecological Red Line Adjustment Mechanism&#x201d; proposed by <xref ref-type="bibr" rid="B60">Zeng et&#xa0;al. (2024)</xref> (<xref ref-type="bibr" rid="B60">Zeng et&#xa0;al., 2024</xref>),The latter emphasizes the key role of institutional boundaries in reducing the intensity of human activities and enhancing the coverage of ecologically important regions. Institutional supply not only affects the effectiveness of communication through financial support and policy orientation, but also provides a legal framework and stable expectations in cultural governance, forming an institutional foundation for the dissemination of marine ecological culture. Within the institutional dimension, a functional distinction exists between enabling and restrictive mechanisms. Enabling institutional arrangements, such as government incentives and policy guidance, actively facilitate marine ecological culture communication, whereas restrictive regulations, including ecological red lines and heritage protection rules, primarily define ecological and spatial boundaries. This distinction helps clarify their different roles within the communication system.</p>
<p>2. In the dimension of factors and supply, the elements of innovation and digital communication and the centrality of capital investment are at the forefront, which shows that technological innovation and financial support are the core driving forces to improve communication efficiency. In this study, innovation and digital communication elements mainly refer to digital platforms, social media dissemination, immersive or interactive technologies, and data-enabled narrative formats that enhance participation and communication efficiency. The research of <xref ref-type="bibr" rid="B54">Wang and Meng (2024)</xref> pointed out that the digitalization process of museums and cultural heritage is transforming from information display to cognitive experience (<xref ref-type="bibr" rid="B54">Wang and Meng, 2024</xref>). The results of this study are consistent with this: digital innovation not only optimizes communication efficiency in the ecological and cultural field, but also reconstructs the mechanism of communication semantics and public co-creation. At the same time, the impact of capital investment is constrained by the policy environment, echoing the research of <xref ref-type="bibr" rid="B15">de Ycaza et&#xa0;al. (2024)</xref> on the consistency of blue economic policies and governance coordination, showing that the effectiveness of capital diffusion depends on the degree of institutional coordination and the clarity of the path of technological innovation (<xref ref-type="bibr" rid="B15">de Ycaza et&#xa0;al., 2024</xref>).</p>
<p>3. In the dimension of resources and content, the centrality of the value of marine eco-cultural resources is the highest, which shows that it is the core hub for the depth and continuity of communication. The research of <xref ref-type="bibr" rid="B4">Barianaki et&#xa0;al. (2024)</xref> further pointed out that the inclusion of cultural values and heritage in marine space planning is an important mechanism for resource protection and cultural dissemination (<xref ref-type="bibr" rid="B4">Barianaki et&#xa0;al., 2024</xref>), which is consistent with the &#x201c;resource hub - system&#x201d; proposed in this study. The double path logic of the degree guardrail is highly consistent.</p>
<p>4. In the audience and demand dimensions, audience heterogeneity, ocean literacy and consumption intention, and purchasing power and tourism demand together constitute demand-side traction and feedback mechanisms. <xref ref-type="bibr" rid="B29">Lucrezi and Cilliers (2023)</xref> found through an international survey that public volunteerism and environmental engagement form a vital social foundation for marine cultural communication (<xref ref-type="bibr" rid="B29">Lucrezi and Cilliers, 2023</xref>). The present study further reveals that variations in public cognition and cultural literacy not only shape information reception and communication depth but also feed back into institutional and supply dimensions through value identification and consumption intention, thereby forming a closed-loop mechanism between demand and supply.</p>
<p>5. In the platform and coordination dimension, although the media matrix and cross-sector collaboration lie on the result side, their coordination thresholds effectively set the upper bound of the diffusion capacity. The evidence shows that collaboration and data sharing in cross-boundary marine spatial planning are critical mechanisms for enhancing the effectiveness of cultural communication (<xref ref-type="bibr" rid="B2">Ansong et&#xa0;al., 2023</xref>). Meanwhile, <xref ref-type="bibr" rid="B54">Wang and Meng (2024)</xref> show that digital platforms can enhance the immersion and sustainability of cultural communication by strengthening the connection between awareness, identity, technology, and culture (<xref ref-type="bibr" rid="B54">Wang and Meng, 2024</xref>). The present study further reveals that media networks in Fujian face issues with similar content and fragmented agendas. There is an urgent need to build stronger communication synergy through cross-department cooperation and digital governance platforms.</p>
<p>In summary, the system effectiveness of marine ecological culture communication comes from the multi-dimensional coupling of institutional supply, innovation empowerment, resource endowment, demand traction and platform coordination. At the same time, it should be acknowledged that intensified communication and commercialization may also generate tensions, such as pressures on ecological carrying capacity or risks of cultural commodification, highlighting the need for appropriate institutional balancing mechanisms. The institutional red line guarantees the boundaries of ecological security, innovation and capital provide a power mechanism, resource value forms the communication core, the demand side co-creates the driving feedback cycle, and the collaborative platform realizes diffusion and integration. This mechanism not only confirms the systematic logic of international marine culture governance, but also provides a theoretical and practical basis for the construction of an integrated path of &#x201c;ecological protection-cultural dissemination-value realization&#x201d; in coastal areas.</p>
</sec>
<sec id="s7" sec-type="conclusions">
<label>7</label>
<title>Conclusion and implications</title>
<p>Under the new background of the national strategy of &#x201c;Beautiful China&#x201d;, &#x201c;Ocean Strong Country&#x201d; and &#x201c;Ecological Civilization&#x201d;, Fujian Province, as the national ecological civilization pilot zone and the core area of the &#x201c;21st Century Maritime Silk Road&#x201d;, actively implements the strategy of a strong marine province and promotes the construction of marine ecological civilization. Relying on rich marine ecological resources and profound sea silk cultural accumulation, Fujian Province is at the forefront of China in marine ecological protection, cultural inheritance and industrial innovation. The dissemination of marine ecological culture has gradually become a new path connecting ecological protection, cultural identity and industrial development. Effectively identifying the key factors affecting the dissemination of marine ecological culture in Fujian Province is of great strategic significance to early industrial planning, resource allocation and institutional design. The research results show that the formation of the effectiveness of marine ecological culture communication in Fujian Province shows a systematic pattern of &#x201c;resource-driven-system-driven-demand traction&#x201d;.</p>
<p>1. Government Incentives and Support, innovation/digital communication elements and capital investment constitute the core driving mechanism of the marine ecological and cultural communication system, reflecting the multi-dimensional synergy of institutional supply, technology empowerment and capital momentum. The research results show that the government&#x2019;s policy orientation has the most significant driving and spillover effect in the system. Its policy incentives and institutional supply are the fundamental forces to shape the communication environment and guide the flow of resources. Innovation and digital communication elements have expanded the boundaries of communication through technical application and content innovation, significantly improving the efficiency and audience reach of cultural communication. Capital investment provides a material basis for resource development and communication innovation, but its effectiveness is subject to the dual constraints of policy orientation and the external environment, showing the characteristics of dependence.</p>
<p>2. The value of marine eco-cultural resources occupies a core position in the communication system, and has the dual functions of content supply and value realization. Its centrality and cause rank first, which shows that the value of resources not only directly determines the attractiveness and depth of cultural significance of the communication content, but also indirectly drives the coordinated operation of other elements by influencing public cognition and cultural preferences. As a supporting conditional variable, although resource abundance is biased towards resulting factors, it plays a fundamental role in the generation and transformation of resource value, which determines the continuity of communication content and the plasticity of the ecological and cultural system.</p>
<p>3. Although the demand-side factor is not at the core of the system, it shows significant traction and feedback effects. Purchasing power and tourism demand, marine literacy and the willingness to consume together constitute the endogenous driving force of continuous diffusion and identity construction of communication, which promotes the social embedding of cultural communication and the co-creation of the public. The active participation of the demand side not only affects the acceptance and diffusion path of communication, but also promotes the dynamic optimization of institutional supply and element allocation through the feedback mechanism, forming an interactive symbiotic structure with the core feature of &#x201c;policy-driven-resource support-demand traction&#x201d;, revealing the dynamic balance mechanism of the marine ecological and cultural communication system under multi-subject coupling.</p>
<p>4. This research not only identifies the key driving factors of the marine ecological culture communication system in Fujian Province, but also provides systematic inspiration for solving the three major dilemmas at the practical level. First of all, in view of the break between the communication supply side and the governance side, the coupling mechanism of resource value and communication innovation should be strengthened, and a cultural translation and market transformation chain of ecological restoration results should be built. Secondly, in view of the insufficient supply of subject coordination and rules, we should rely on government support and institutional guidance to establish a cross-departmental coordination and diversified participation mechanism, and improve the institutional incentive and revenue distribution system. Finally, in view of the threshold effect of &#x201c;marine literacy-behavioral transformation&#x201d; on the audience, the integrated effect of public cognition, emotion and action should be improved through differentiated communication and experiential education, and the two-way gain of ecological protection and cultural communication should be realized. This research path theoretically verifies the communication mechanism under multi-factor interaction, and in practice provides a feasible solution for the construction of an efficient and sustainable marine ecological and cultural communication system in coastal areas.</p>
</sec>
<sec id="s8">
<label>8</label>
<title>Research contributions</title>
<p>1. Theoretical Innovation: from regional experience to doctrine growth Taking Fujian Province as a typical field, the dissemination of marine ecological culture is placed in the triple context of &#x201c;ecological civilization-cultural value-institutional governance&#x201d;, and a multi-dimensional interactive model of resource-system-innovation-capital-audience has been built, breaking through the research paradigm of treating ecological culture communication as a linear information flow or policy tool in the past. The research reveals the inherent logic of &#x201c;system-driven-innovative empowerment-capital collaboration-public co-creation&#x201d; in the communication of marine ecological culture, and puts forward the systematic mechanism and dynamic structure of ecological culture communication. This not only enriches the theoretical system of ecological civilization dissemination, but also provides a new analytical framework for understanding the cultural translation, social diffusion and institutional embedding of ecological values, marking a paradigm leap from &#x201c;local practice&#x201d; to &#x201c;theoretical contribution&#x201d;.</p>
<p>2. Advanced method: from qualitative induction to structural deduction. Innovative integration of rooted theory and Grey-DEMATEL method realizes multi-level logical progression from conceptual abstraction to structural verification. Through the systematic coding of literature and expert interviews, thirteen core factors are distilled, and their role relationship and influence weight are revealed in the form of a causal matrix, and an analytical framework with both theoretical depth and data support is built. This method integration of &#x201c;theoretical generation-model verification&#x201d; provides replicable paths and paradigms for complex systematic research such as ecological culture, environmental communication and cultural ecosystem services, reflecting the research value of interdisciplinary integration and methodological innovation.</p>
<p>3. Global Enlightenment: from regional exploration to shared consensus. Taking Fujian, China as a case, but its core discovery has universal significance beyond the region. The study reveals that under the background of the global sustainable development agenda and the transformation of marine governance, cultural communication is not only a medium for the realization of ecological values, but also an important mechanism for the formation of social consensus and institutional coordination. Fujian&#x2019;s experience shows how to realize the systematic coupling of &#x201c;ecological governance-cultural communication-public participation&#x201d; in the construction of local ecological civilization, and provides a practical model for the global coastal areas to explore the institutionalization path, social mobilization mechanism and cultural value transformation of ecological cultural communication. The proposal of the research helps to promote the international community to form a cross-cultural and cross-institutional consensus and action framework in the field of blue economy and cultural sustainability.</p>
</sec>
</body>
<back>
<sec id="s9" 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="s10" sec-type="author-contributions">
<title>Author contributions</title>
<p>HW: Writing &#x2013; original draft, Data curation, Methodology, Investigation, Software, Conceptualization, Visualization, Formal Analysis, Validation. WL: Investigation, Resources, Funding acquisition, Project administration, Supervision, Conceptualization, Writing &#x2013; review &amp; editing. JH: Writing &#x2013; original draft, Visualization, Validation, Conceptualization, Data curation. WW: Project administration, Validation, Resources, Writing &#x2013; review &amp; editing, Supervision, Conceptualization. SL: Writing &#x2013; review &amp; editing, Supervision, Resources, Conceptualization, Project administration.</p></sec>
<sec id="s12" 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="s13" 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="s14" sec-type="disclaimer">
<title>Publisher&#x2019;s note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p></sec>
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<p>Edited by: <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/2407348">Peng Jiang</ext-link>, Shandong University, 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/3313296">Weizhi Zhang</ext-link>, Fujian Jiangxia University, China</p>
<p><ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/3313371">Yuting Shi</ext-link>, Shanghai International Studies University, China</p></fn>
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