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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Sustain. Food Syst.</journal-id>
<journal-title>Frontiers in Sustainable Food Systems</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Sustain. Food Syst.</abbrev-journal-title>
<issn pub-type="epub">2571-581X</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.3389/fsufs.2025.1492812</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Sustainable Food Systems</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Study on the export pattern and export potential of agricultural products from China to RCEP countries&#x2014;an empirical study based on gravity model</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name><surname>Shi</surname> <given-names>Lei</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
<role content-type="https://credit.niso.org/contributor-roles/formal-analysis/"/>
<role content-type="https://credit.niso.org/contributor-roles/funding-acquisition/"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-original-draft/"/>
</contrib>
<contrib contrib-type="author">
<name><surname>Zhang</surname> <given-names>Shixue</given-names></name>
<xref ref-type="aff" rid="aff3"><sup>3</sup></xref>
<role content-type="https://credit.niso.org/contributor-roles/data-curation/"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-original-draft/"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name><surname>Hashmi</surname> <given-names>Shabir Mohsin</given-names></name>
<xref ref-type="aff" rid="aff4"><sup>4</sup></xref>
<xref ref-type="corresp" rid="c001"><sup>&#x002A;</sup></xref>
<uri xlink:href="https://loop.frontiersin.org/people/2837553/overview"/>
</contrib>
</contrib-group>
<aff id="aff1"><sup>1</sup><institution>School of Economics and Management, Yancheng Institute of Technology</institution>, <addr-line>Yancheng</addr-line>, <country>China</country></aff>
<aff id="aff2"><sup>2</sup><institution>School of Agriculture, Yangzhou University</institution>, <addr-line>Yangzhou</addr-line>, <country>China</country></aff>
<aff id="aff3"><sup>3</sup><institution>School of Economics and Management, Northeast Forestry University</institution>, <addr-line>Harbin</addr-line>, <country>China</country></aff>
<aff id="aff4"><sup>4</sup><institution>School of Digital Economics and Management, Suzhou City University</institution>, <addr-line>Suzhou</addr-line>, <country>China</country></aff>
<author-notes>
<fn fn-type="edited-by" id="fn0001">
<p>Edited by: Jianxu Liu, Shandong University of Finance and Economics, China</p>
</fn>
<fn fn-type="edited-by" id="fn0002">
<p>Reviewed by: Shashika Rathnayaka, University of Aberdeen, United Kingdom</p>
<p>Sushil Mohan, University of Brighton, United Kingdom</p>
</fn>
<corresp id="c001">&#x002A;Correspondence: Shabir Mohsin Hashmi, <email>smhashmi@szcu.edu.cn</email></corresp>
</author-notes>
<pub-date pub-type="epub">
<day>05</day>
<month>06</month>
<year>2025</year>
</pub-date>
<pub-date pub-type="collection">
<year>2025</year>
</pub-date>
<volume>9</volume>
<elocation-id>1492812</elocation-id>
<history>
<date date-type="received">
<day>01</day>
<month>10</month>
<year>2024</year>
</date>
<date date-type="accepted">
<day>16</day>
<month>05</month>
<year>2025</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#x00A9; 2025 Shi, Zhang and Hashmi.</copyright-statement>
<copyright-year>2025</copyright-year>
<copyright-holder>Shi, Zhang and Hashmi</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/">
<p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</p>
</license>
</permissions>
<abstract>
<p>Agricultural trade is fundamental to human sustenance and economic development, serving as a critical pillar of the Regional Comprehensive Economic Partnership (RCEP). With the progressive implementation of RCEP, China&#x2019;s agricultural trade with member countries has exhibited steady growth, underscoring its substantial development potential. Drawing on data from 2009 to 2023, this study systematically examines the export patterns of Chinese agricultural products to RCEP countries. Utilizing the stochastic frontier gravity model, it further explores the key determinants that facilitate or constrain China&#x2019;s agricultural exports. Moreover, the study assesses export efficiency, untapped potential, and the scope for expansion in China&#x2019;s agricultural trade with RCEP partners. The findings reveal that New Zealand and Myanmar possess a distinct competitive advantage in agricultural exports. Additionally, factors such as tariff structures, government efficiency, and political stability exert a significant influence on China&#x2019;s agricultural trade performance. In terms of export potential, China demonstrates considerable opportunities for expanding agricultural exports to Japan, Indonesia, and the Philippines. This study aims to provide theoretical insights and policy recommendations to optimize China&#x2019;s agricultural trade strategies within the RCEP framework.</p>
</abstract>
<kwd-group>
<kwd>agricultural trade</kwd>
<kwd>export patterns</kwd>
<kwd>export potential</kwd>
<kwd>trade efficiency RCEP</kwd>
<kwd>agricultural products</kwd>
<kwd>export pattern</kwd>
</kwd-group>
<contract-num rid="cn1">2023LY056</contract-num>
<contract-num rid="cn2">2024SJYB1459</contract-num>
<contract-sponsor id="cn1">National Statistical Science Research</contract-sponsor>
<contract-sponsor id="cn2">Philosophy and Social Science Research in Colleges and Universities in Jiangsu Province</contract-sponsor>
<counts>
<fig-count count="2"/>
<table-count count="9"/>
<equation-count count="8"/>
<ref-count count="36"/>
<page-count count="13"/>
<word-count count="7973"/>
</counts>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-at-acceptance</meta-name>
<meta-value>Agricultural and Food Economics</meta-value>
</custom-meta>
</custom-meta-wrap>
</article-meta>
</front>
<body>
<sec sec-type="intro" id="sec1">
<label>1</label>
<title>Introduction</title>
<p>Agriculture is a cornerstone industry in China, and the development of the agricultural economy is critical to the overall economic advancement of the country. Trade in agricultural products is a key component of this economic development. Presently, China is in a pivotal phase of accelerating the development of a robust agricultural nation. To establish such a nation, it is essential to possess a robust capacity for global resource allocation, which includes maintaining strong competitiveness of agricultural products in global trade, ensuring the security of the agricultural product supply chain, providing global agricultural public goods, formulating international agricultural regulations, and supporting multinational corporations with industrial chain integration capabilities. The occurrence of unprecedented global changes, major international events, the rise of anti-globalization sentiments, and food security concerns in various nations have significantly altered the global agricultural trade landscape (<xref ref-type="bibr" rid="ref3">Bian, 2019</xref>; <xref ref-type="bibr" rid="ref18">Luckstead, 2024</xref>). The importance of stable regional agricultural trade has become increasingly evident. To establish a strong agricultural nation with Chinese characteristics (<xref ref-type="bibr" rid="ref16">Liu, 2020</xref>; <xref ref-type="bibr" rid="ref37">Zhang, 2024</xref>), it is critical to develop a robust agricultural trade system (<xref ref-type="bibr" rid="ref20">Ma et al., 2024</xref>), enabling effective responses to major risks and challenges while efficiently coordinating and utilizing both domestic and international markets and resources.</p>
<p>The Regional Comprehensive Economic Partnership (RCEP) represents a crucial institutional framework and a &#x201C;new engine&#x201D; driving regional economic integration. RCEP was signed and came into force on November 15, 2020, with member states including China, the ten ASEAN countries, Japan, South Korea, Australia, and New Zealand. On June 2, 2023, it fully came into force for the 15 member states, marking the commencement of a new phase in the complete implementation of the world&#x2019;s largest and most dynamic free trade agreement, involving the most populous and economically significant region (<xref ref-type="bibr" rid="ref24">Muhamad et al., 2020</xref>; <xref ref-type="bibr" rid="ref36">Xu et al., 2024</xref>). In 2023, intra-regional trade within RCEP reached $5.6 trillion. By June 2024, a year after full implementation, the agreement has significantly facilitated the free flow of resources within the region, fostering the gradual formation of a more prosperous and integrated regional market. This has encouraged broader, more sophisticated, and deeper cooperation among member states, effectively mitigating the impact of weak global trade growth and counteracting the adverse effects of global economic fragmentation and the formation of trade blocs. RCEP member states include major agricultural resource producers and the largest global agricultural markets. In light of global climate change, food blockades, and unforeseen events, stable regional agricultural trade has become especially critical. In this context, studying regional agricultural trade under the RCEP framework is of significant strategic importance and urgency (<xref ref-type="bibr" rid="ref8">Fan et al., 2023</xref>; <xref ref-type="bibr" rid="ref19">Lv and Mengyuan, 2024</xref>).</p>
</sec>
<sec id="sec2">
<label>2</label>
<title>Literature review</title>
<p>The literature on agricultural product trade among RCEP countries can be classified into three main categories. The first category predominantly employs the gravity model to quantitatively analyze the determinants of international trade. The model was initially proposed by <xref ref-type="bibr" rid="ref11">Gross and Friedmann (1964)</xref> and <xref ref-type="bibr" rid="ref28">Poyhonen (1963)</xref>, who suggested that trade between two countries is directly proportional to their economic size and inversely proportional to the distance between them. This model was subsequently expanded into a stochastic frontier gravity model, incorporating research on technical efficiency in production functions by <xref ref-type="bibr" rid="ref9">Farrell (1957)</xref> and <xref ref-type="bibr" rid="ref13">Lebenstein (1966)</xref> and adapting it to the gravity model, which has been continuously refined (<xref ref-type="bibr" rid="ref22">Meeusen and Van Den Broeck, 1977</xref>; <xref ref-type="bibr" rid="ref1">Aigner et al., 1977</xref>). Several studies have applied this model to analyze the determinants of trade, the impacts of various trade agreements, and to estimate potential trade (<xref ref-type="bibr" rid="ref21">Masood et al., 2022</xref>; <xref ref-type="bibr" rid="ref30">Sharkasi et al., 2023</xref>). Several domestic scholars have refined and applied this model to study international agricultural trade, noting that variables such as GDP and geographical proximity to trade partners significantly promote the export scale of Chinese agricultural products, while variables such as population size and international distance significantly hinder China&#x2019;s agricultural exports (<xref ref-type="bibr" rid="ref15">Li and Yang, 2019</xref>). Factors such as improvements in China&#x2019;s agricultural economic development level, the signing of bilateral FTAs, and increased trade openness significantly promote China&#x2019;s vegetable exports to RCEP member countries, while economic distance hinders vegetable exports (<xref ref-type="bibr" rid="ref38">Zheng and Li, 2024</xref>). Furthermore, factors such as the quality of national economic institutions, the signing of free trade agreements, GDP, population, common languages, and geographical distance all significantly impact agricultural product trade (<xref ref-type="bibr" rid="ref36">Xu et al., 2024</xref>; <xref ref-type="bibr" rid="ref25">Narayan and Bhattacharya, 2019</xref>).</p>
<p>The second category of literature primarily examines the impact of free trade areas (<xref ref-type="bibr" rid="ref27">Panagariya and Duttagupta, 2002</xref>; <xref ref-type="bibr" rid="ref4">Cao et al., 2022</xref>), with a particular emphasis on the effects of RCEP implementation on China&#x2019;s agricultural product trade. As anti-globalization challenges have emerged, regional trade agreements (RTAs) have generally enhanced trade efficiency among member countries (<xref ref-type="bibr" rid="ref29">Qi and Xi, 2023</xref>). Joining both RCEP and CPTPP provides greater benefits than participating in only one trade agreement or abstaining from trade agreements altogether (<xref ref-type="bibr" rid="ref14">Li and Li, 2021</xref>). The entry into force of the RCEP agreement has created numerous opportunities for China&#x2019;s international agricultural cooperation. Tariff reductions have stimulated positive effects in regional agricultural product trade within the RCEP, while the accumulation of rules of origin has facilitated the integration of the agricultural industrial chain in the Asia-Pacific region (<xref ref-type="bibr" rid="ref6">Chevassus-Lozza et al., 2008</xref>; <xref ref-type="bibr" rid="ref7">Dong, 2024</xref>). The signing and implementation of FTAs have facilitated China&#x2019;s agricultural product exports to its FTA partner countries (<xref ref-type="bibr" rid="ref32">Tai and Li, 2022</xref>).</p>
<p>The third category of literature primarily investigates the trade efficiency, trade potential, and scalability of agricultural product trade across different countries. Regarding trade efficiency, the digital economy significantly enhances agricultural product export trade efficiency (<xref ref-type="bibr" rid="ref35">Xiao and Abula, 2023</xref>; <xref ref-type="bibr" rid="ref17">Liu and Dong, 2024</xref>). With respect to trade potential, among ASEAN countries, Myanmar, Laos, and the Philippines exhibit the highest agricultural product trade competitiveness in the global market, while Laos, Cambodia, and Myanmar hold the strongest competitiveness in the regional market (<xref ref-type="bibr" rid="ref23">Mizik et al., 2020</xref>). China&#x2019;s agricultural product export efficiency to member countries demonstrates an overall declining trend, with substantial trade expansion potential for Japan, South Korea, and Singapore (<xref ref-type="bibr" rid="ref34">We and Zhang, 2021</xref>). Research on the impact of RCEP on specific agricultural product trade reveals that tariff reductions have effectively facilitated China&#x2019;s seafood trade with other RCEP member countries, leading to a highly significant trade creation effect (<xref ref-type="bibr" rid="ref10">Ghosh and Yamarik, 2004</xref>; <xref ref-type="bibr" rid="ref12">Han et al., 2024</xref>). The differences in fruit and vegetable attributes between China and RCEP member countries are considerable, suggesting significant trade potential in the future (<xref ref-type="bibr" rid="ref33">Tong et al., 2023</xref>).</p>
<p>With the full implementation of RCEP in June 2023, it provided significant opportunities for China&#x2019;s agricultural openness and the high-quality development of agricultural product trade, while also presenting new challenges (<xref ref-type="bibr" rid="ref33">Tong et al., 2023</xref>). Building on existing research by experts and scholars, and based on relevant data from RCEP countries between 2009 and 2023, this study employs the stochastic frontier gravity model to first conduct a multidimensional analysis of China&#x2019;s agricultural exports to RCEP countries, including export scale, export markets, export structure, and export competitiveness, to provide a comprehensive understanding of the main export product categories and markets. Secondly, the stochastic frontier gravity model is employed to analyze the factors influencing China&#x2019;s agricultural exports, exploring aspects such as trade agreements, tariffs, container shipping, and economic freedom. Finally, the study measures export efficiency, export potential, and scalability, providing corresponding policy recommendations for agricultural exports to various RCEP member countries. In terms of methodology, employing the stochastic frontier gravity model avoids inaccuracies in regression results caused by trade frictions and human factors commonly observed in traditional gravity models. The study utilizes a one-step method to investigate trade inefficiency, thereby avoiding theoretical contradictions and result biases that may arise from step-by-step research. Ultimately, this study aims to offer theoretical support for China&#x2019;s agricultural and trade cooperation with RCEP countries.</p>
<p>To facilitate readers&#x2019; understanding of the themes and purposes of the cited literature, this paper provides a summary table of the references, making the content of the literature review section clearer, as shown in <xref ref-type="table" rid="tab1">Table 1</xref>.</p>
<table-wrap position="float" id="tab1">
<label>Table 1</label>
<caption>
<p>Literature summary.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top" char="&#x00D7;">Research topic</th>
<th align="left" valign="top">Representative literature</th>
<th align="left" valign="top">Content summary</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="middle">Evolution of gravity model and origin of influencing factors</td>
<td align="left" valign="middle"><xref ref-type="bibr" rid="ref28">Poyhonen (1963)</xref>, <xref ref-type="bibr" rid="ref9">Farrell (1957)</xref>, <xref ref-type="bibr" rid="ref13">Lebenstein (1966)</xref>, <xref ref-type="bibr" rid="ref22">Meeusen and Van Den Broeck (1977)</xref>, <xref ref-type="bibr" rid="ref1">Aigner et al. (1977)</xref>, <xref ref-type="bibr" rid="ref21">Masood et al. (2022)</xref>, <xref ref-type="bibr" rid="ref30">Sharkasi et al. (2023)</xref>, <xref ref-type="bibr" rid="ref15">Li and Yang (2019)</xref>, <xref ref-type="bibr" rid="ref37">Zhang (2024)</xref>, <xref ref-type="bibr" rid="ref25">Narayan and Bhattacharya (2019)</xref>, and <xref ref-type="bibr" rid="ref36">Xu et al. (2024)</xref></td>
<td align="left" valign="middle">These studies primarily introduce the emergence and evolution of the stochastic frontier gravity model, as well as some of the influencing factors selected in existing literature when applying the model. This has provided us with a deeper understanding of the underlying principles of the stochastic frontier gravity model and has offered valuable insights for selecting influencing factors for our own model.</td>
</tr>
<tr>
<td align="left" valign="middle">The impact of free trade zone, especially the impact of RCEP implementation on China&#x2019;s agricultural trade</td>
<td align="left" valign="middle"><xref ref-type="bibr" rid="ref27">Panagariya and Duttagupta (2002)</xref>, <xref ref-type="bibr" rid="ref4">Cao et al. (2022)</xref>, <xref ref-type="bibr" rid="ref29">Qi and Xi (2023)</xref>, <xref ref-type="bibr" rid="ref14">Li and Li (2021)</xref>, <xref ref-type="bibr" rid="ref6">Chevassus-Lozza et al. (2008)</xref>, <xref ref-type="bibr" rid="ref7">Dong (2024)</xref>, and <xref ref-type="bibr" rid="ref32">Tai and Li (2022)</xref></td>
<td align="left" valign="middle">These studies mainly indicate that certain regional trade agreements are essential for improving trade efficiency and promoting exports. Therefore, the research on the impact of RCEP on China&#x2019;s agricultural product export trade is highly meaningful.</td>
</tr>
<tr>
<td align="left" valign="middle">Mainly studies the experience of agricultural products trade efficiency, trade potential and expandable space in different countries.</td>
<td align="left" valign="middle"><xref ref-type="bibr" rid="ref35">Xiao and Abula (2023)</xref>, <xref ref-type="bibr" rid="ref17">Liu and Dong (2024)</xref>, <xref ref-type="bibr" rid="ref23">Mizik et al. (2020)</xref>, <xref ref-type="bibr" rid="ref34">We and Zhang (2021)</xref>, <xref ref-type="bibr" rid="ref10">Ghosh and Yamarik (2004)</xref>, <xref ref-type="bibr" rid="ref12">Han et al. (2024)</xref>, and <xref ref-type="bibr" rid="ref33">Tong et al. (2023)</xref></td>
<td align="left" valign="middle">By summarizing the existing literature, a general understanding of the agricultural product trade efficiency, trade potential, and scalability across various countries is gained, which also provides a reference for this study on the trade efficiency, trade potential, and scalability of RCEP countries.</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec sec-type="methods" id="sec3">
<label>3</label>
<title>Methodology</title>
<sec id="sec4">
<label>3.1</label>
<title>Theoretical modelling</title>
<p>The stochastic frontier gravity model improves on the traditional gravity model by splitting the error term into two parts. This makes it easier to assess trade efficiency and potential. It is commonly used to measure export efficiency and potential. The model is as follows (see <xref ref-type="disp-formula" rid="EQ1">Equation 1</xref>):</p>
<disp-formula id="EQ1">
<label>(1)</label>
<mml:math id="M1">
<mml:msub>
<mml:mi>T</mml:mi>
<mml:mi mathvariant="italic">ijt</mml:mi>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mi>f</mml:mi>
<mml:mo stretchy="true">(</mml:mo>
<mml:msub>
<mml:mi>X</mml:mi>
<mml:mi mathvariant="italic">ijt</mml:mi>
</mml:msub>
<mml:mo>,</mml:mo>
<mml:mi>&#x03B2;</mml:mi>
<mml:mo stretchy="true">)</mml:mo>
<mml:mo>exp</mml:mo>
<mml:mo stretchy="true">(</mml:mo>
<mml:msub>
<mml:mi>V</mml:mi>
<mml:mi mathvariant="italic">ijt</mml:mi>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>&#x03BC;</mml:mi>
<mml:mi mathvariant="italic">ijt</mml:mi>
</mml:msub>
<mml:mo stretchy="true">)</mml:mo>
<mml:mo>,</mml:mo>
<mml:msub>
<mml:mi>&#x03BC;</mml:mi>
<mml:mi mathvariant="italic">ijt</mml:mi>
</mml:msub>
<mml:mo>&#x2265;</mml:mo>
<mml:mn>0</mml:mn>
</mml:math>
</disp-formula>
<p>Taking the logarithm on both sides gives <xref ref-type="disp-formula" rid="EQ2">Equation (2)</xref>:</p>
<disp-formula id="EQ2">
<label>(2)</label>
<mml:math id="M2">
<mml:mo>ln</mml:mo>
<mml:msub>
<mml:mi>T</mml:mi>
<mml:mi mathvariant="italic">ijt</mml:mi>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mi mathvariant="italic">lnf</mml:mi>
<mml:mo stretchy="true">(</mml:mo>
<mml:msub>
<mml:mi>X</mml:mi>
<mml:mi mathvariant="italic">ijt</mml:mi>
</mml:msub>
<mml:mo>,</mml:mo>
<mml:mi>&#x03B2;</mml:mi>
<mml:mo stretchy="true">)</mml:mo>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mi>V</mml:mi>
<mml:mi mathvariant="italic">ijt</mml:mi>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>&#x03BC;</mml:mi>
<mml:mi mathvariant="italic">ijt</mml:mi>
</mml:msub>
<mml:mo>,</mml:mo>
<mml:msub>
<mml:mi>&#x03BC;</mml:mi>
<mml:mi mathvariant="italic">ijt</mml:mi>
</mml:msub>
<mml:mo>&#x2265;</mml:mo>
<mml:mn>0</mml:mn>
</mml:math>
</disp-formula>
<p><inline-formula>
<mml:math id="M3">
<mml:msub>
<mml:mi>T</mml:mi>
<mml:mi mathvariant="italic">ijt</mml:mi>
</mml:msub>
</mml:math>
</inline-formula> represents the volume of trade between country i and country j in period t. The model uses GDP per capita, population size and geographical distance as the key variables affecting the size of actual trade volume, <italic>&#x03B2;</italic> is a parameter to be estimated and <inline-formula>
<mml:math id="M4">
<mml:msub>
<mml:mi>V</mml:mi>
<mml:mi mathvariant="italic">ijt</mml:mi>
</mml:msub>
</mml:math>
</inline-formula> is a random disturbance term. <inline-formula>
<mml:math id="M5">
<mml:msub>
<mml:mi>&#x03BC;</mml:mi>
<mml:mi mathvariant="italic">ijt</mml:mi>
</mml:msub>
</mml:math>
</inline-formula> is the trade inefficiency term, which represents factors that are barriers to trade that are not considered in the model, such as tariffs, government efficiency and political stability. <inline-formula>
<mml:math id="M6">
<mml:msub>
<mml:mi>&#x03BC;</mml:mi>
<mml:mi mathvariant="italic">ijt</mml:mi>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mn>0</mml:mn>
</mml:math>
</inline-formula>indicates that there is no efficiency loss in the trade process, which is when the level of trade between country i and country j is maximised. The formula for calculating the potential trade volume is expressed in <xref ref-type="disp-formula" rid="EQ3">Equation (3)</xref>:</p>
<disp-formula id="EQ3">
<label>(3)</label>
<mml:math id="M7">
<mml:msub>
<mml:mi>T</mml:mi>
<mml:mi mathvariant="italic">ijt</mml:mi>
</mml:msub>
<mml:mo>&#x2217;</mml:mo>
<mml:mo>=</mml:mo>
<mml:mi>f</mml:mi>
<mml:mo stretchy="true">(</mml:mo>
<mml:msub>
<mml:mi>X</mml:mi>
<mml:mi mathvariant="italic">ijt</mml:mi>
</mml:msub>
<mml:mo>,</mml:mo>
<mml:mi>&#x03B2;</mml:mi>
<mml:mo stretchy="true">)</mml:mo>
<mml:mo>exp</mml:mo>
<mml:mo stretchy="true">(</mml:mo>
<mml:msub>
<mml:mi>V</mml:mi>
<mml:mi mathvariant="italic">ijt</mml:mi>
</mml:msub>
<mml:mo stretchy="true">)</mml:mo>
</mml:math>
</disp-formula>
<p><inline-formula>
<mml:math id="M8">
<mml:msub>
<mml:mi>T</mml:mi>
<mml:mi mathvariant="italic">ijt</mml:mi>
</mml:msub>
<mml:mo>&#x2217;</mml:mo>
</mml:math>
</inline-formula> denotes the potential trade volume.</p>
<p>When trade potential exists, trade efficiency can be introduced into trade potential, which generally takes the form of actual trade value over trade potential, see <xref ref-type="disp-formula" rid="EQ4">Equation (4)</xref>:</p>
<disp-formula id="EQ4">
<label>(4)</label>
<mml:math id="M9">
<mml:mi>T</mml:mi>
<mml:msub>
<mml:mi>E</mml:mi>
<mml:mi mathvariant="italic">ijt</mml:mi>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mfrac bevelled="true">
<mml:msub>
<mml:mi>T</mml:mi>
<mml:mi mathvariant="italic">ijt</mml:mi>
</mml:msub>
<mml:msub>
<mml:msup>
<mml:mi>T</mml:mi>
<mml:mo>&#x2217;</mml:mo>
</mml:msup>
<mml:mi mathvariant="italic">ijt</mml:mi>
</mml:msub>
</mml:mfrac>
<mml:mo>=</mml:mo>
<mml:mo>exp</mml:mo>
<mml:mo stretchy="true">(</mml:mo>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>&#x03BC;</mml:mi>
<mml:mi mathvariant="italic">ijt</mml:mi>
</mml:msub>
<mml:mo stretchy="true">)</mml:mo>
</mml:math>
</disp-formula>
<p>When trade inefficiency <inline-formula>
<mml:math id="M10">
<mml:msub>
<mml:mi>&#x03BC;</mml:mi>
<mml:mi mathvariant="italic">ijt</mml:mi>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mn>0</mml:mn>
</mml:math>
</inline-formula>, <inline-formula>
<mml:math id="M11">
<mml:mi>T</mml:mi>
<mml:msub>
<mml:mi>E</mml:mi>
<mml:mi mathvariant="italic">ijt</mml:mi>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mn>1</mml:mn>
</mml:math>
</inline-formula>, the trade level reaches the frontier; when <inline-formula>
<mml:math id="M12">
<mml:msub>
<mml:mi>&#x03BC;</mml:mi>
<mml:mi mathvariant="italic">ijt</mml:mi>
</mml:msub>
<mml:mo>&#x003E;</mml:mo>
<mml:mn>0</mml:mn>
</mml:math>
</inline-formula>, <inline-formula>
<mml:math id="M13">
<mml:mi>T</mml:mi>
<mml:msub>
<mml:mi>E</mml:mi>
<mml:mi mathvariant="italic">ijt</mml:mi>
</mml:msub>
<mml:mo>&#x003C;</mml:mo>
<mml:mn>1</mml:mn>
</mml:math>
</inline-formula>, it represents that trade inefficiency term exists and acts as an impediment to the trading partner countries, the actual trade volume is smaller than the potential trade volume, and the trade level does not reach the frontier.</p>
<p>As the time dimension of the study increases to a certain extent, some scholars have found that <inline-formula>
<mml:math id="M14">
<mml:msub>
<mml:mi>&#x03BC;</mml:mi>
<mml:mi mathvariant="italic">ijt</mml:mi>
</mml:msub>
</mml:math>
</inline-formula> changes over time, i.e., the influencing factors of trade non-efficiency terms have changed. In the study of trade non-efficiency influencing factors, a one-step method is used to introduce the trade non-efficiency term and its influencing factors directly into the stochastic frontier function for regression analysis to obtain <xref ref-type="disp-formula" rid="EQ5">Equation (5)</xref>:</p>
<disp-formula id="EQ5">
<label>(5)</label>
<mml:math id="M15">
<mml:mo>ln</mml:mo>
<mml:msub>
<mml:mi>T</mml:mi>
<mml:mi mathvariant="italic">ijt</mml:mi>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mi mathvariant="italic">lnf</mml:mi>
<mml:mo stretchy="true">(</mml:mo>
<mml:msub>
<mml:mi>X</mml:mi>
<mml:mi mathvariant="italic">ijt</mml:mi>
</mml:msub>
<mml:mo>,</mml:mo>
<mml:mi>&#x03B2;</mml:mi>
<mml:mo stretchy="true">)</mml:mo>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mi>V</mml:mi>
<mml:mi mathvariant="italic">ijt</mml:mi>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:mo stretchy="true">(</mml:mo>
<mml:mi>&#x03B4;</mml:mi>
<mml:msub>
<mml:mi>z</mml:mi>
<mml:mi mathvariant="italic">ijt</mml:mi>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mi>&#x03C9;</mml:mi>
<mml:mi mathvariant="italic">ijt</mml:mi>
</mml:msub>
<mml:mo stretchy="true">)</mml:mo>
</mml:math>
</disp-formula>
<p>The study firstly adopts a time-varying model to explore the influencing factors related to China&#x2019;s trade in agricultural products with RCEP member countries, and determines the trade inefficiency term over time. Then the &#x201C;one-step method&#x201D; is used to construct a trade inefficiency model and explore the influence factors related to the trade inefficiency term. Finally, the model is based on the measurement of export efficiency, export potential and room for expansion.</p>
</sec>
<sec id="sec5">
<label>3.2</label>
<title>Model setting and variable selection</title>
<p>In the research, trade-influencing factors are categorized into natural and human factors. The former determines the realization of trade potential, encompassing elements such as geographical distance, economic size, and population size. The latter affects the manifestation of trade inefficiency, which includes factors like tariffs, trade policies, and the institutional environment.</p>
<p>In view of Armstrong&#x2019;s method and idea of model setting (<xref ref-type="bibr" rid="ref2">Armstrong, 2007</xref>), the time-varying model set in this study is in the following form as shown by <xref ref-type="disp-formula" rid="EQ6">Equation (6)</xref>:</p>
<disp-formula id="EQ6">
<label>(6)</label>
<mml:math id="M16">
<mml:mtable columnalign="left" displaystyle="true">
<mml:mtr>
<mml:mtd>
<mml:mo>ln</mml:mo>
<mml:mi mathvariant="italic">EX</mml:mi>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mi mathvariant="italic">ijt</mml:mi>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:msub>
<mml:mi>&#x03B2;</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mi>&#x03B2;</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
<mml:mtext mathvariant="italic">lnPGD</mml:mtext>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mi mathvariant="italic">it</mml:mi>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mi>&#x03B2;</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:mtext mathvariant="italic">lnPGD</mml:mtext>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mi mathvariant="italic">jt</mml:mi>
</mml:msub>
<mml:mo>+</mml:mo>
</mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd>
<mml:msub>
<mml:mi>&#x03B2;</mml:mi>
<mml:mn>3</mml:mn>
</mml:msub>
<mml:mtext mathvariant="italic">lnPO</mml:mtext>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mi mathvariant="italic">it</mml:mi>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mi>&#x03B2;</mml:mi>
<mml:mn>4</mml:mn>
</mml:msub>
<mml:mtext mathvariant="italic">lnPO</mml:mtext>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mi mathvariant="italic">jt</mml:mi>
</mml:msub>
<mml:mo>+</mml:mo>
</mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd>
<mml:msub>
<mml:mi>&#x03B2;</mml:mi>
<mml:mn>5</mml:mn>
</mml:msub>
<mml:mo>ln</mml:mo>
<mml:mi mathvariant="italic">DIS</mml:mi>
<mml:msub>
<mml:mi>T</mml:mi>
<mml:mi mathvariant="italic">ij</mml:mi>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mi>&#x03B2;</mml:mi>
<mml:mn>6</mml:mn>
</mml:msub>
<mml:mo>ln</mml:mo>
<mml:mi mathvariant="italic">BO</mml:mi>
<mml:msub>
<mml:mi>R</mml:mi>
<mml:mi mathvariant="italic">ij</mml:mi>
</mml:msub>
<mml:mo>+</mml:mo>
</mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd>
<mml:msub>
<mml:mi>&#x03B2;</mml:mi>
<mml:mn>7</mml:mn>
</mml:msub>
<mml:mo>ln</mml:mo>
<mml:mi>E</mml:mi>
<mml:msub>
<mml:mi>F</mml:mi>
<mml:mi mathvariant="italic">ij</mml:mi>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mi>v</mml:mi>
<mml:mi mathvariant="italic">ijt</mml:mi>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>&#x03BC;</mml:mi>
<mml:mi mathvariant="italic">ijt</mml:mi>
</mml:msub>
</mml:mtd>
</mml:mtr>
</mml:mtable>
</mml:math>
</disp-formula>
<p>The information of each variable is shown in <xref ref-type="table" rid="tab2">Table 2</xref>.</p>
<table-wrap position="float" id="tab2">
<label>Table 2</label>
<caption>
<p>Description of variables used in the time-varying model.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top">Variable</th>
<th align="center" valign="top">Expected symbol</th>
<th align="left" valign="top">Unit</th>
<th align="left" valign="top">Connotation</th>
<th align="left" valign="top">Theoretical description</th>
<th align="left" valign="top">Data sources</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top">
<inline-formula>
<mml:math id="M17">
<mml:mi mathvariant="italic">EX</mml:mi>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mi mathvariant="italic">ijt</mml:mi>
</mml:msub>
</mml:math>
</inline-formula>
</td>
<td align="center" valign="middle">/</td>
<td align="left" valign="top">Dollar</td>
<td align="left" valign="top">China&#x2018;s agricultural exports to importing countries in period t</td>
<td align="left" valign="middle">/</td>
<td align="left" valign="middle">UN Comtrade Databases</td>
</tr>
<tr>
<td align="left" valign="top">
<inline-formula>
<mml:math id="M18">
<mml:mi mathvariant="italic">PGD</mml:mi>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mi mathvariant="italic">it</mml:mi>
</mml:msub>
</mml:math>
</inline-formula>
</td>
<td align="center" valign="middle" rowspan="2">+</td>
<td align="left" valign="top">Dollar</td>
<td align="left" valign="top">China&#x2018;s economic level in period t</td>
<td align="left" valign="middle" rowspan="2">China&#x2018;s agricultural exports are positively correlated with its economic level</td>
<td align="left" valign="middle" rowspan="2">World Bank</td>
</tr>
<tr>
<td align="left" valign="top">
<inline-formula>
<mml:math id="M19">
<mml:mi mathvariant="italic">PGD</mml:mi>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mi mathvariant="italic">jt</mml:mi>
</mml:msub>
</mml:math>
</inline-formula>
</td>
<td align="left" valign="top">Dollar</td>
<td align="left" valign="top">Economic level of the importing country in period t</td>
</tr>
<tr>
<td align="left" valign="top">
<inline-formula>
<mml:math id="M20">
<mml:mi mathvariant="italic">PO</mml:mi>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mi mathvariant="italic">it</mml:mi>
</mml:msub>
</mml:math>
</inline-formula>
</td>
<td align="center" valign="middle" rowspan="2">+/&#x2212;</td>
<td align="left" valign="top">Dollar</td>
<td align="left" valign="top">Total population of China in period t</td>
<td align="left" valign="middle" rowspan="2">China&#x2018;s agricultural exports are positively correlated with market size and demand</td>
<td align="left" valign="middle" rowspan="2">World Bank</td>
</tr>
<tr>
<td align="left" valign="top">
<inline-formula>
<mml:math id="M21">
<mml:mi mathvariant="italic">PO</mml:mi>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mi mathvariant="italic">jt</mml:mi>
</mml:msub>
</mml:math>
</inline-formula>
</td>
<td align="left" valign="top">Person</td>
<td align="left" valign="top">Total population of importing countries in period t</td>
</tr>
<tr>
<td align="left" valign="top">
<inline-formula>
<mml:math id="M22">
<mml:mi mathvariant="italic">DIS</mml:mi>
<mml:msub>
<mml:mi>T</mml:mi>
<mml:mi mathvariant="italic">ij</mml:mi>
</mml:msub>
</mml:math>
</inline-formula>
</td>
<td align="center" valign="middle">&#x2212;</td>
<td align="left" valign="top">Km</td>
<td align="left" valign="top">Capital distance between China and importing countries</td>
<td align="left" valign="middle" rowspan="2">China&#x2018;s agricultural exports are positively correlated with transport costs</td>
<td align="left" valign="middle">CEPII databases</td>
</tr>
<tr>
<td align="left" valign="top">
<inline-formula>
<mml:math id="M23">
<mml:mi mathvariant="italic">BO</mml:mi>
<mml:msub>
<mml:mi>R</mml:mi>
<mml:mi mathvariant="italic">ij</mml:mi>
</mml:msub>
</mml:math>
</inline-formula>
</td>
<td align="center" valign="top">+</td>
<td align="left" valign="top">/</td>
<td align="left" valign="top">Whether China shares a common border with the importing country (assign a value of 1 if bordering, otherwise assign a value of 0)</td>
<td align="left" valign="middle">CEPII databases</td>
</tr>
<tr>
<td align="left" valign="top">
<inline-formula>
<mml:math id="M24">
<mml:msub>
<mml:mi mathvariant="italic">EF</mml:mi>
<mml:mi>j</mml:mi>
</mml:msub>
</mml:math>
</inline-formula>
</td>
<td align="center" valign="top">+</td>
<td align="left" valign="top">/</td>
<td align="left" valign="top">Overall economic freedom of importing countries</td>
<td align="left" valign="top">Chinese agricultural exports are positively correlated with economic freedom in importing countries</td>
<td align="left" valign="middle">Heritage foundation database, an American think tank</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>A &#x201C;one-step&#x201D; approach is then used to explore the factors affecting the trade inefficiency term, and the final &#x201C;one-step&#x201D; model is expressed in <xref ref-type="disp-formula" rid="EQ7">Equation (7)</xref>:</p>
<disp-formula id="EQ7">
<label>(7)</label>
<mml:math id="M25">
<mml:mtable columnalign="left" displaystyle="true">
<mml:mtr>
<mml:mtd>
<mml:mo>ln</mml:mo>
<mml:mi mathvariant="italic">EX</mml:mi>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mi mathvariant="italic">ijt</mml:mi>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:msub>
<mml:mi>&#x03B2;</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mi>&#x03B2;</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
<mml:mtext mathvariant="italic">lnPGD</mml:mtext>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mi mathvariant="italic">it</mml:mi>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mi>&#x03B2;</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:mtext mathvariant="italic">lnPGD</mml:mtext>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mi mathvariant="italic">jt</mml:mi>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mi>&#x03B2;</mml:mi>
<mml:mn>3</mml:mn>
</mml:msub>
<mml:mtext mathvariant="italic">lnPO</mml:mtext>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mi mathvariant="italic">it</mml:mi>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mi>&#x03B2;</mml:mi>
<mml:mn>4</mml:mn>
</mml:msub>
<mml:mtext mathvariant="italic">lnPO</mml:mtext>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mi mathvariant="italic">jt</mml:mi>
</mml:msub>
<mml:mo>+</mml:mo>
</mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd>
<mml:msub>
<mml:mi>&#x03B2;</mml:mi>
<mml:mn>5</mml:mn>
</mml:msub>
<mml:mo>ln</mml:mo>
<mml:mi mathvariant="italic">DIS</mml:mi>
<mml:msub>
<mml:mi>T</mml:mi>
<mml:mi mathvariant="italic">ij</mml:mi>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mi>&#x03B2;</mml:mi>
<mml:mn>6</mml:mn>
</mml:msub>
<mml:mo>ln</mml:mo>
<mml:mi mathvariant="italic">BO</mml:mi>
<mml:msub>
<mml:mi>R</mml:mi>
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</mml:msub>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mi>&#x03B2;</mml:mi>
<mml:mn>7</mml:mn>
</mml:msub>
<mml:mo>ln</mml:mo>
<mml:mi mathvariant="italic">LAN</mml:mi>
<mml:msub>
<mml:mi>G</mml:mi>
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</mml:msub>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mi>v</mml:mi>
<mml:mi mathvariant="italic">ijt</mml:mi>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
</mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd>
<mml:mo stretchy="true">(</mml:mo>
<mml:mtable columnalign="left">
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<mml:mtd>
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<mml:mi>&#x03B4;</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mi>&#x03B4;</mml:mi>
<mml:mn>1</mml:mn>
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<mml:mtext mathvariant="italic">FT</mml:mtext>
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<mml:mi>A</mml:mi>
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<mml:mo>+</mml:mo>
<mml:msub>
<mml:mi>&#x03B4;</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:mi mathvariant="italic">TAR</mml:mi>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mi mathvariant="italic">jt</mml:mi>
</mml:msub>
<mml:mo>+</mml:mo>
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<mml:mn>3</mml:mn>
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<mml:mn>4</mml:mn>
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<mml:mi>E</mml:mi>
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<mml:mi>P</mml:mi>
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<mml:mi>S</mml:mi>
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<mml:mo>+</mml:mo>
<mml:msub>
<mml:mi>&#x03B4;</mml:mi>
<mml:mn>6</mml:mn>
</mml:msub>
<mml:mi mathvariant="italic">MO</mml:mi>
<mml:msub>
<mml:mi>N</mml:mi>
<mml:mi mathvariant="italic">jt</mml:mi>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mi>&#x03B4;</mml:mi>
<mml:mn>7</mml:mn>
</mml:msub>
<mml:mi>T</mml:mi>
<mml:msub>
<mml:mi>F</mml:mi>
<mml:mi mathvariant="italic">jt</mml:mi>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mi>&#x03B4;</mml:mi>
<mml:mn>8</mml:mn>
</mml:msub>
<mml:mi>I</mml:mi>
<mml:msub>
<mml:mi>F</mml:mi>
<mml:mi mathvariant="italic">jt</mml:mi>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:mtext>&#x03B5;ijt</mml:mtext>
</mml:mtd>
</mml:mtr>
</mml:mtable>
<mml:mo stretchy="true">)</mml:mo>
</mml:mtd>
</mml:mtr>
</mml:mtable>
</mml:math>
</disp-formula>
<p>The information of each variable is shown in <xref ref-type="table" rid="tab3">Table 3</xref>.</p>
<table-wrap position="float" id="tab3">
<label>Table 3</label>
<caption>
<p>Description of variables used in the trade inefficiency models.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top">Variable</th>
<th align="center" valign="top">Expected symbol</th>
<th align="left" valign="top">Connotation</th>
<th align="left" valign="top">Theoretical description</th>
<th align="left" valign="top">Data sources</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top">
<inline-formula>
<mml:math id="M26">
<mml:mtext mathvariant="italic">FT</mml:mtext>
<mml:msub>
<mml:mi>A</mml:mi>
<mml:mi mathvariant="italic">ijt</mml:mi>
</mml:msub>
</mml:math>
</inline-formula>
</td>
<td align="center" valign="middle">&#x2212;</td>
<td align="left" valign="middle">Whether China has free trade agreements with importing countries in period t</td>
<td align="left" valign="top">Bilateral signing of FTAs is negatively associated with trade inefficiency</td>
<td align="left" valign="middle">Free Trade Zone Services Network</td>
</tr>
<tr>
<td align="left" valign="top">
<inline-formula>
<mml:math id="M27">
<mml:mi mathvariant="italic">TAR</mml:mi>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mi mathvariant="italic">jt</mml:mi>
</mml:msub>
</mml:math>
</inline-formula>
</td>
<td align="center" valign="middle">+</td>
<td align="left" valign="middle">Overall tariff levels in importing countries in period t</td>
<td align="left" valign="top">Tariff levels in importing countries are positively associated with trade inefficiency</td>
<td align="left" valign="middle">World Bank database</td>
</tr>
<tr>
<td align="left" valign="top">
<inline-formula>
<mml:math id="M28">
<mml:mi mathvariant="italic">SH</mml:mi>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mi mathvariant="italic">jt</mml:mi>
</mml:msub>
</mml:math>
</inline-formula>
</td>
<td align="center" valign="middle">&#x2212;</td>
<td align="left" valign="middle">Importing country liner shipping connectivity index for period t</td>
<td align="left" valign="middle">Importing countries&#x2019; maritime transport facilitation is negatively correlated with China&#x2018;s agricultural exports</td>
<td align="left" valign="middle">World Bank database</td>
</tr>
<tr>
<td align="left" valign="top">
<inline-formula>
<mml:math id="M29">
<mml:mi>G</mml:mi>
<mml:msub>
<mml:mi>E</mml:mi>
<mml:mi mathvariant="italic">jt</mml:mi>
</mml:msub>
</mml:math>
</inline-formula>
</td>
<td align="center" valign="middle">&#x2212;</td>
<td align="left" valign="middle">Government efficiency in country j in period t</td>
<td align="left" valign="middle">Negative correlation between government efficiency in importing countries and China&#x2018;s agricultural exports</td>
<td align="left" valign="middle" rowspan="2">World Bank database</td>
</tr>
<tr>
<td align="left" valign="top">
<inline-formula>
<mml:math id="M30">
<mml:mi>P</mml:mi>
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mi mathvariant="italic">it</mml:mi>
</mml:msub>
</mml:math>
</inline-formula>
</td>
<td align="center" valign="middle">&#x2212;</td>
<td align="left" valign="middle">Political stability in country j during period t</td>
<td align="left" valign="middle">Political stability in importing countries is negatively associated with China&#x2018;s agricultural exports</td>
</tr>
<tr>
<td align="left" valign="top">
<inline-formula>
<mml:math id="M31">
<mml:mi mathvariant="italic">MO</mml:mi>
<mml:msub>
<mml:mi>N</mml:mi>
<mml:mi mathvariant="italic">jt</mml:mi>
</mml:msub>
</mml:math>
</inline-formula>
</td>
<td align="center" valign="middle">&#x2212;</td>
<td align="left" valign="middle">Monetary freedom of importing countries in period t</td>
<td align="left" valign="middle" rowspan="3">Currency Freedom, Trade Freedom, and Investment Freedom in Importing Countries China&#x2018;s Agricultural Exports are Negatively Correlated</td>
<td align="left" valign="middle" rowspan="3">Heritage Foundation database, an American think tank</td>
</tr>
<tr>
<td align="left" valign="top">
<inline-formula>
<mml:math id="M32">
<mml:mi>T</mml:mi>
<mml:msub>
<mml:mi>F</mml:mi>
<mml:mi mathvariant="italic">jt</mml:mi>
</mml:msub>
</mml:math>
</inline-formula>
</td>
<td align="center" valign="middle">&#x2212;</td>
<td align="left" valign="middle">Trade freedom of importing countries in period t</td>
</tr>
<tr>
<td align="left" valign="top">
<inline-formula>
<mml:math id="M33">
<mml:mi>I</mml:mi>
<mml:msub>
<mml:mi>F</mml:mi>
<mml:mi mathvariant="italic">jt</mml:mi>
</mml:msub>
</mml:math>
</inline-formula>
</td>
<td align="center" valign="middle">&#x2212;</td>
<td align="left" valign="middle">Freedom of investment in importing countries in period t</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="sec6">
<label>3.3</label>
<title>Description of samples and data</title>
<p>The study utilizes agricultural export trade data from RCEP countries spanning the years 2009 to 2023 for an analysis of the export structure. When employing the stochastic frontier gravity model, panel data from 2009 to 2023 for 14 RCEP member countries, excluding China, are used to account for influencing factors. Considering the complexity of the concept of agricultural products and the diversity in classification standards, the research includes agricultural products from chapters 1 to 24. Since cotton and hemp products are advantageous export commodities for China, chapters 50 (5,001, 5,002, 5,003), 51 (5,101, 5,102, 5,103), 52 (5,201, 5,202, 5,203), and 53 (5,301, 5,302) are also incorporated. The econometric model employs Frontier Analyst 4.1 software, and missing data are filled in using interpolation methods from Stata software.</p>
</sec>
</sec>
<sec id="sec7">
<label>4</label>
<title>Analysis of China&#x2019;s export pattern of agricultural products to RCEP countries</title>
<sec id="sec8">
<label>4.1</label>
<title>Scale of exports</title>
<p>As can be seen from <xref ref-type="table" rid="tab4">Table 4</xref>, between 2009 and 2023, China&#x2019;s agricultural product exports to RCEP countries consistently accounted for more than 40% of the total agricultural product exports from China over the years. The total value of China&#x2019;s agricultural product exports increased from $38.542 billion in 2009 to $97.110 billion in 2023, marking a net growth of $58.568 billion. The total value of agricultural product exports to RCEP countries rose from $16.297 billion in 2009 to $40.982 billion in 2023, reflecting a net increase of $24.685 billion. The latter&#x2019;s net growth represents 42.15% of the former&#x2019;s net growth.</p>
<table-wrap position="float" id="tab4">
<label>Table 4</label>
<caption>
<p>China&#x2019;s trade in agricultural exports to RCEP countries, 2009&#x2013;2023 (in billions of dollars, %).</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top">Year</th>
<th align="center" valign="top">China&#x2019;s total agricultural exports to RCEP countries</th>
<th align="center" valign="top">China&#x2019;s total agricultural exports</th>
<th align="center" valign="top">Proportions</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top">2009</td>
<td align="center" valign="top">162.97</td>
<td align="center" valign="top">385.42</td>
<td align="center" valign="top">42.28%</td>
</tr>
<tr>
<td align="left" valign="top">2010</td>
<td align="center" valign="top">206.55</td>
<td align="center" valign="top">480.80</td>
<td align="center" valign="top">42.96%</td>
</tr>
<tr>
<td align="left" valign="top">2011</td>
<td align="center" valign="top">257.49</td>
<td align="center" valign="top">592.18</td>
<td align="center" valign="top">43.48%</td>
</tr>
<tr>
<td align="left" valign="top">2012</td>
<td align="center" valign="top">269.51</td>
<td align="center" valign="top">616.26</td>
<td align="center" valign="top">43.73%</td>
</tr>
<tr>
<td align="left" valign="top">2013</td>
<td align="center" valign="top">282.02</td>
<td align="center" valign="top">658.93</td>
<td align="center" valign="top">42.80%</td>
</tr>
<tr>
<td align="left" valign="top">2014</td>
<td align="center" valign="top">301.00</td>
<td align="center" valign="top">698.79</td>
<td align="center" valign="top">43.08%</td>
</tr>
<tr>
<td align="left" valign="top">2015</td>
<td align="center" valign="top">297.65</td>
<td align="center" valign="top">686.48</td>
<td align="center" valign="top">43.36%</td>
</tr>
<tr>
<td align="left" valign="top">2016</td>
<td align="center" valign="top">308.47</td>
<td align="center" valign="top">715.70</td>
<td align="center" valign="top">43.10%</td>
</tr>
<tr>
<td align="left" valign="top">2017</td>
<td align="center" valign="top">316.40</td>
<td align="center" valign="top">740.36</td>
<td align="center" valign="top">42.74%</td>
</tr>
<tr>
<td align="left" valign="top">2018</td>
<td align="center" valign="top">337.81</td>
<td align="center" valign="top">780.44</td>
<td align="center" valign="top">43.28%</td>
</tr>
<tr>
<td align="left" valign="top">2019</td>
<td align="center" valign="top">346.74</td>
<td align="center" valign="top">773.57</td>
<td align="center" valign="top">44.82%</td>
</tr>
<tr>
<td align="left" valign="top">2020</td>
<td align="center" valign="top">351.43</td>
<td align="center" valign="top">747.14</td>
<td align="center" valign="top">47.04%</td>
</tr>
<tr>
<td align="left" valign="top">2021</td>
<td align="center" valign="top">378.65</td>
<td align="center" valign="top">825.84</td>
<td align="center" valign="top">45.85%</td>
</tr>
<tr>
<td align="left" valign="top">2022</td>
<td align="center" valign="top">416.87</td>
<td align="center" valign="top">962.56</td>
<td align="center" valign="top">43.31%</td>
</tr>
<tr>
<td align="left" valign="top">2023</td>
<td align="center" valign="top">409.82</td>
<td align="center" valign="top">971.10</td>
<td align="center" valign="top">42.20%</td>
</tr>
<tr>
<td align="left" valign="top">Total</td>
<td align="center" valign="top">4643.39</td>
<td align="center" valign="top">10635.58</td>
<td align="center" valign="top">43.66%</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="sec9">
<label>4.2</label>
<title>Export markets</title>
<p>As indicated by <xref ref-type="fig" rid="fig1">Figures 1</xref>, <xref ref-type="fig" rid="fig2">2</xref>, from 2009 to 2023, the top three recipients of China&#x2019;s agricultural product exports to RCEP countries were Japan, South Korea, and Vietnam. Over the nearly fifteen years, the cumulative exports to these three countries accounted for 14.37, 6.55, and 5.25% of the total agricultural product exports worldwide, respectively. The last three in terms of export volume were Cambodia, Laos, and Brunei, with cumulative exports over nearly eleven years representing 0.11, 0.05, and 0.02% of the total global exports, respectively. This phenomenon may be determined by factors such as market demand and the level of development of the recipient countries.</p>
<fig position="float" id="fig1">
<label>Figure 1</label>
<caption>
<p>Proportionate share of one part of China&#x2019;s agricultural export markets, 2009&#x2013;2023.</p>
</caption>
<graphic xlink:href="fsufs-09-1492812-g001.tif"/>
</fig>
<fig position="float" id="fig2">
<label>Figure 2</label>
<caption>
<p>Proportionate share of the other part of China&#x2019;s agricultural export markets, 2009&#x2013;2023.</p>
</caption>
<graphic xlink:href="fsufs-09-1492812-g002.tif"/>
</fig>
</sec>
<sec id="sec10">
<label>4.3</label>
<title>Export structure</title>
<p>Due to the absence of data for the export of silk, wool, cotton, and hemp agricultural products to Singapore, Brunei, Cambodia, and Laos, and considering the relatively small volume of agricultural product exports to some ASEAN countries, for the sake of convenience in calculation and analysis, the ten ASEAN countries are treated as a single entity here, and only the cross-sectional data from 2023 are selected. The structure of China&#x2018;s agricultural product exports to RCEP countries is shown in <xref ref-type="table" rid="tab5">Table 5</xref>.</p>
<table-wrap position="float" id="tab5">
<label>Table 5</label>
<caption>
<p>Structure of China&#x2019;s agricultural exports to RCEP countries, 2023 (in billion USD).</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top">Types of agricultural products</th>
<th align="center" valign="top">Japan</th>
<th align="center" valign="top">South Korea</th>
<th align="center" valign="top">Australia</th>
<th align="center" valign="top">New Zeeland</th>
<th align="center" valign="top">ASEAN</th>
<th align="center" valign="top">Total</th>
<th align="center" valign="top">World</th>
<th align="center" valign="top">Share (%)</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="middle">
<list list-type="simple">
<list-item>
<p>Live animals and animal products (chapters 1&#x2013;5)</p>
</list-item>
</list>
</td>
<td align="center" valign="middle">
<list list-type="simple">
<list-item>
<p>19.22</p>
</list-item>
</list>
</td>
<td align="center" valign="middle">
<list list-type="simple">
<list-item>
<p>12.70</p>
</list-item>
</list>
</td>
<td align="center" valign="middle">
<list list-type="simple">
<list-item>
<p>1.10</p>
</list-item>
</list>
</td>
<td align="center" valign="middle">
<list list-type="simple">
<list-item>
<p>0.24</p>
</list-item>
</list>
</td>
<td align="center" valign="middle">
<list list-type="simple">
<list-item>
<p>21.94</p>
</list-item>
</list>
</td>
<td align="center" valign="middle">
<list list-type="simple">
<list-item>
<p>55.19</p>
</list-item>
</list>
</td>
<td align="center" valign="middle">
<list list-type="simple">
<list-item>
<p>144.16</p>
</list-item>
</list>
</td>
<td align="center" valign="middle">
<list list-type="simple">
<list-item>
<p>38.28</p>
</list-item>
</list>
</td>
</tr>
<tr>
<td align="left" valign="middle">Plant products (chapters 6&#x2013;14)</td>
<td align="center" valign="middle">
<list list-type="simple">
<list-item>
<p>25.79</p>
</list-item>
</list>
</td>
<td align="center" valign="middle">
<list list-type="simple">
<list-item>
<p>15.31</p>
</list-item>
</list>
</td>
<td align="center" valign="middle">
<list list-type="simple">
<list-item>
<p>2.72</p>
</list-item>
</list>
</td>
<td align="center" valign="middle">
<list list-type="simple">
<list-item>
<p>0.65</p>
</list-item>
</list>
</td>
<td align="center" valign="middle">
<list list-type="simple">
<list-item>
<p>88.98</p>
</list-item>
</list>
</td>
<td align="center" valign="middle">
<list list-type="simple">
<list-item>
<p>133.44</p>
</list-item>
</list>
</td>
<td align="center" valign="middle">
<list list-type="simple">
<list-item>
<p>290.44</p>
</list-item>
</list>
</td>
<td align="center" valign="middle">
<list list-type="simple">
<list-item>
<p>45.95</p>
</list-item>
</list>
</td>
</tr>
<tr>
<td align="left" valign="middle">
<list list-type="simple">
<list-item>
<p>Animal and vegetable oils, fats and waxes, refined edible fats and oils (15 chapters)</p>
</list-item>
</list>
</td>
<td align="center" valign="middle">
<list list-type="simple">
<list-item>
<p>0.43</p>
</list-item>
</list>
</td>
<td align="center" valign="middle">
<list list-type="simple">
<list-item>
<p>0.93</p>
</list-item>
</list>
</td>
<td align="center" valign="middle">
<list list-type="simple">
<list-item>
<p>0.43</p>
</list-item>
</list>
</td>
<td align="center" valign="middle">
<list list-type="simple">
<list-item>
<p>0.13</p>
</list-item>
</list>
</td>
<td align="center" valign="middle">
<list list-type="simple">
<list-item>
<p>7.22</p>
</list-item>
</list>
</td>
<td align="center" valign="middle">
<list list-type="simple">
<list-item>
<p>9.13</p>
</list-item>
</list>
</td>
<td align="center" valign="middle">
<list list-type="simple">
<list-item>
<p>34.97</p>
</list-item>
</list>
</td>
<td align="center" valign="middle">
<list list-type="simple">
<list-item>
<p>26.11</p>
</list-item>
</list>
</td>
</tr>
<tr>
<td align="left" valign="middle">
<list list-type="simple">
<list-item>
<p>Food, beverages, wine &#x0026; vinegar, tobacco &#x0026; products (chapters 16&#x2013;25)</p>
</list-item>
</list>
</td>
<td align="center" valign="middle">
<list list-type="simple">
<list-item>
<p>54.71</p>
</list-item>
</list>
</td>
<td align="center" valign="middle">
<list list-type="simple">
<list-item>
<p>31.99</p>
</list-item>
</list>
</td>
<td align="center" valign="middle">
<list list-type="simple">
<list-item>
<p>10.66</p>
</list-item>
</list>
</td>
<td align="center" valign="middle">
<list list-type="simple">
<list-item>
<p>2.65</p>
</list-item>
</list>
</td>
<td align="center" valign="middle">
<list list-type="simple">
<list-item>
<p>111.12</p>
</list-item>
</list>
</td>
<td align="center" valign="middle">
<list list-type="simple">
<list-item>
<p>211.13</p>
</list-item>
</list>
</td>
<td align="center" valign="middle">
<list list-type="simple">
<list-item>
<p>497.95</p>
</list-item>
</list>
</td>
<td align="center" valign="middle">
<list list-type="simple">
<list-item>
<p>42.40</p>
</list-item>
</list>
</td>
</tr>
<tr>
<td align="left" valign="middle">
<list list-type="simple">
<list-item>
<p>Silk, wool, cotton, linen (parts of chapters 50&#x2013;53)</p>
</list-item>
</list>
</td>
<td align="center" valign="middle">
<list list-type="simple">
<list-item>
<p>0.22</p>
</list-item>
</list>
</td>
<td align="center" valign="middle">
<list list-type="simple">
<list-item>
<p>0.10</p>
</list-item>
</list>
</td>
<td align="center" valign="middle">
<list list-type="simple">
<list-item>
<p>0.01</p>
</list-item>
</list>
</td>
<td align="center" valign="middle">
<list list-type="simple">
<list-item>
<p>0.00</p>
</list-item>
</list>
</td>
<td align="center" valign="middle">
<list list-type="simple">
<list-item>
<p>0.60</p>
</list-item>
</list>
</td>
<td align="center" valign="middle">
<list list-type="simple">
<list-item>
<p>0.93</p>
</list-item>
</list>
</td>
<td align="center" valign="middle">
<list list-type="simple">
<list-item>
<p>3.59</p>
</list-item>
</list>
</td>
<td align="center" valign="middle">
<list list-type="simple">
<list-item>
<p>25.95</p>
</list-item>
</list>
</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>According to <xref ref-type="table" rid="tab5">Table 5</xref>, in 2023, the largest export category of agricultural products from China to RCEP member countries was food, beverages, alcohol, vinegar, tobacco, and related products, with an export value reaching $21.113 billion, accounting for 42.40% of the total exports to the world. Plant products were the second-largest category, with an export value of $13.344 billion, representing 45.95% of the total exports to the world. The lowest export value was for silk, wool, cotton, and hemp products, amounting to $0.93 billion, which constituted 25.95% of the exports to the world. The main export destinations for all categories of agricultural products were Japan, South Korea, and ASEAN.</p>
<p>From this, the following conclusions can be drawn: First, in terms of export markets, with a focus on Japan, South Korea, and ASEAN, China should further deepen and refine its agricultural product exports to these countries and strive to open up export markets in the remaining countries. Second, regarding the export structure, which is currently dominated by lower-end products such as food, beverages, and plant products, with fewer processed products like silk, wool, cotton, and hemp, China should promptly adjust and optimize the structure of its agricultural product exports.</p>
</sec>
<sec id="sec11">
<label>4.4</label>
<title>Export competitiveness</title>
<p>The index of revealed comparative advantage is an indicator used to assess the competitiveness of a country&#x2019;s exports of a given product (<xref ref-type="bibr" rid="ref31">Sheng and Yunxin, 2024</xref>), which is calculated as <xref ref-type="disp-formula" rid="EQ8">Equation (8)</xref>:</p>
<disp-formula id="EQ8">
<label>(8)</label>
<mml:math id="M34">
<mml:mi mathvariant="italic">RCA</mml:mi>
<mml:mo>=</mml:mo>
<mml:mo stretchy="true">(</mml:mo>
<mml:msub>
<mml:mi>X</mml:mi>
<mml:mi mathvariant="italic">ik</mml:mi>
</mml:msub>
<mml:mo>/</mml:mo>
<mml:msub>
<mml:mi>X</mml:mi>
<mml:mi mathvariant="italic">it</mml:mi>
</mml:msub>
<mml:mo stretchy="true">)</mml:mo>
<mml:mo>/</mml:mo>
<mml:mo stretchy="true">(</mml:mo>
<mml:msub>
<mml:mi>X</mml:mi>
<mml:mi mathvariant="italic">wk</mml:mi>
</mml:msub>
<mml:mo>/</mml:mo>
<mml:msub>
<mml:mi>X</mml:mi>
<mml:mi mathvariant="italic">wt</mml:mi>
</mml:msub>
<mml:mo stretchy="true">)</mml:mo>
</mml:math>
</disp-formula>
<p><inline-formula>
<mml:math id="M35">
<mml:msub>
<mml:mi>X</mml:mi>
<mml:mi mathvariant="italic">ik</mml:mi>
</mml:msub>
<mml:mspace width="0.25em"/>
</mml:math>
</inline-formula>is country i&#x2019;s product k exports, <inline-formula>
<mml:math id="M36">
<mml:msub>
<mml:mi>X</mml:mi>
<mml:mi mathvariant="italic">it</mml:mi>
</mml:msub>
</mml:math>
</inline-formula> is country i&#x2019;s entire product exports; <inline-formula>
<mml:math id="M37">
<mml:msub>
<mml:mi>X</mml:mi>
<mml:mi mathvariant="italic">wk</mml:mi>
</mml:msub>
</mml:math>
</inline-formula> is the world&#x2019;s product k exports, and <inline-formula>
<mml:math id="M38">
<mml:msub>
<mml:mi>X</mml:mi>
<mml:mi mathvariant="italic">wt</mml:mi>
</mml:msub>
</mml:math>
</inline-formula> is the world&#x2019;s entire product exports. RCA&#x202F;&#x003E;&#x202F;2.5 represents a strong export advantage, 1.25&#x202F;&#x003C;&#x202F;RCA&#x202F;&#x003C;&#x202F;2.5 represents a stronger export advantage, and RCA&#x202F;&#x003C;&#x202F;0.8 represents a weaker export advantage. The results are shown in <xref ref-type="table" rid="tab6">Table 6</xref>.</p>
<table-wrap position="float" id="tab6">
<label>Table 6</label>
<caption>
<p>Analysis of revealed comparative advantage index for agricultural exports of RCEP member countries, 2009&#x2013;2023 (RCA values).</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th>Country</th>
<th align="center" valign="top">2009</th>
<th align="center" valign="top">2010</th>
<th align="center" valign="top">2011</th>
<th align="center" valign="top">2012</th>
<th align="center" valign="top">2013</th>
<th align="center" valign="top">2014</th>
<th align="center" valign="top">2015</th>
<th align="center" valign="top">2016</th>
<th align="center" valign="top">2017</th>
<th align="center" valign="top">2018</th>
<th align="center" valign="top">2019</th>
<th align="center" valign="top">2020</th>
<th align="center" valign="top">2021</th>
<th align="center" valign="top">2022</th>
<th align="center" valign="top">2023</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="middle">China</td>
<td align="center" valign="middle">0.38</td>
<td align="center" valign="middle">0.39</td>
<td align="center" valign="middle">0.39</td>
<td align="center" valign="middle">0.37</td>
<td align="center" valign="middle">0.37</td>
<td align="center" valign="middle">0.36</td>
<td align="center" valign="middle">0.35</td>
<td align="center" valign="middle">0.38</td>
<td align="center" valign="middle">0.37</td>
<td align="center" valign="middle">0.37</td>
<td align="center" valign="middle">0.36</td>
<td align="center" valign="middle">0.30</td>
<td align="center" valign="middle">0.28</td>
<td align="center" valign="middle">0.30</td>
<td align="center" valign="middle">0.30</td>
</tr>
<tr>
<td align="left" valign="middle">Japan</td>
<td align="center" valign="middle">0.09</td>
<td align="center" valign="middle">0.08</td>
<td align="center" valign="middle">0.08</td>
<td align="center" valign="middle">0.08</td>
<td align="center" valign="middle">0.08</td>
<td align="center" valign="middle">0.09</td>
<td align="center" valign="middle">0.10</td>
<td align="center" valign="middle">0.10</td>
<td align="center" valign="middle">0.10</td>
<td align="center" valign="middle">0.12</td>
<td align="center" valign="middle">0.12</td>
<td align="center" valign="middle">0.13</td>
<td align="center" valign="middle">0.14</td>
<td align="center" valign="middle">0.14</td>
<td align="center" valign="middle">0.13</td>
</tr>
<tr>
<td align="left" valign="middle">South Korea</td>
<td align="center" valign="middle">0.15</td>
<td align="center" valign="middle">0.15</td>
<td align="center" valign="middle">0.16</td>
<td align="center" valign="middle">0.16</td>
<td align="center" valign="middle">0.15</td>
<td align="center" valign="middle">0.15</td>
<td align="center" valign="middle">0.16</td>
<td align="center" valign="middle">0.17</td>
<td align="center" valign="middle">0.16</td>
<td align="center" valign="middle">0.16</td>
<td align="center" valign="middle">0.18</td>
<td align="center" valign="middle">0.18</td>
<td align="center" valign="middle">0.18</td>
<td align="center" valign="middle">0.18</td>
<td align="center" valign="middle">0.16</td>
</tr>
<tr>
<td align="left" valign="middle">Australia</td>
<td align="center" valign="middle">1.71</td>
<td align="center" valign="middle">1.56</td>
<td align="center" valign="middle">1.65</td>
<td align="center" valign="middle">1.77</td>
<td align="center" valign="middle">1.79</td>
<td align="center" valign="middle">1.81</td>
<td align="center" valign="middle">2.09</td>
<td align="center" valign="middle">1.86</td>
<td align="center" valign="middle">1.83</td>
<td align="center" valign="middle">1.66</td>
<td align="center" valign="middle">1.44</td>
<td align="center" valign="middle">1.30</td>
<td align="center" valign="middle">1.41</td>
<td align="center" valign="middle">1.42</td>
<td align="center" valign="middle">1.38</td>
</tr>
<tr>
<td align="left" valign="middle">New Zeeland</td>
<td align="center" valign="middle">6.54</td>
<td align="center" valign="middle">7.15</td>
<td align="center" valign="middle">7.12</td>
<td align="center" valign="middle">7.07</td>
<td align="center" valign="middle">7.25</td>
<td align="center" valign="middle">7.32</td>
<td align="center" valign="middle">7.04</td>
<td align="center" valign="middle">6.77</td>
<td align="center" valign="middle">7.08</td>
<td align="center" valign="middle">7.39</td>
<td align="center" valign="middle">7.54</td>
<td align="center" valign="middle">7.13</td>
<td align="center" valign="middle">7.57</td>
<td align="center" valign="middle">7.45</td>
<td align="center" valign="middle">6.84</td>
</tr>
<tr>
<td align="left" valign="middle">Indonesia</td>
<td align="center" valign="middle">2.02</td>
<td align="center" valign="middle">2.06</td>
<td align="center" valign="middle">2.00</td>
<td align="center" valign="middle">2.13</td>
<td align="center" valign="middle">2.09</td>
<td align="center" valign="middle">2.31</td>
<td align="center" valign="middle">2.41</td>
<td align="center" valign="middle">2.37</td>
<td align="center" valign="middle">2.46</td>
<td align="center" valign="middle">2.28</td>
<td align="center" valign="middle">2.22</td>
<td align="center" valign="middle">2.36</td>
<td align="center" valign="middle">2.49</td>
<td align="center" valign="middle">2.14</td>
<td align="center" valign="middle">1.77</td>
</tr>
<tr>
<td align="left" valign="middle">Malaysia</td>
<td align="center" valign="middle">1.28</td>
<td align="center" valign="middle">1.47</td>
<td align="center" valign="middle">1.70</td>
<td align="center" valign="middle">1.52</td>
<td align="center" valign="middle">1.30</td>
<td align="center" valign="middle">1.27</td>
<td align="center" valign="middle">1.20</td>
<td align="center" valign="middle">1.23</td>
<td align="center" valign="middle">1.14</td>
<td align="center" valign="middle">0.99</td>
<td align="center" valign="middle">1.00</td>
<td align="center" valign="middle">0.99</td>
<td align="center" valign="middle">1.12</td>
<td align="center" valign="middle">1.09</td>
<td align="center" valign="middle">1.15</td>
</tr>
<tr>
<td align="left" valign="middle">Philippine</td>
<td align="center" valign="middle">1.94</td>
<td align="center" valign="middle">0.98</td>
<td align="center" valign="middle">1.35</td>
<td align="center" valign="middle">1.15</td>
<td align="center" valign="middle">1.28</td>
<td align="center" valign="middle">1.27</td>
<td align="center" valign="middle">0.94</td>
<td align="center" valign="middle">0.97</td>
<td align="center" valign="middle">1.08</td>
<td align="center" valign="middle">1.06</td>
<td align="center" valign="middle">1.09</td>
<td align="center" valign="middle">1.00</td>
<td align="center" valign="middle">1.04</td>
<td align="center" valign="middle">1.08</td>
<td align="center" valign="middle">0.92</td>
</tr>
<tr>
<td align="left" valign="middle">Thailand</td>
<td align="center" valign="middle">1.78</td>
<td align="center" valign="middle">1.71</td>
<td align="center" valign="middle">1.81</td>
<td align="center" valign="middle">1.74</td>
<td align="center" valign="middle">1.65</td>
<td align="center" valign="middle">1.70</td>
<td align="center" valign="middle">1.65</td>
<td align="center" valign="middle">1.56</td>
<td align="center" valign="middle">1.59</td>
<td align="center" valign="middle">1.67</td>
<td align="center" valign="middle">1.75</td>
<td align="center" valign="middle">1.58</td>
<td align="center" valign="middle">1.63</td>
<td align="center" valign="middle">1.71</td>
<td align="center" valign="middle">0.92</td>
</tr>
<tr>
<td align="left" valign="middle">Singapore</td>
<td align="center" valign="middle">0.02</td>
<td align="center" valign="middle">0.02</td>
<td align="center" valign="middle">0.02</td>
<td align="center" valign="middle">0.02</td>
<td align="center" valign="middle">0.02</td>
<td align="center" valign="middle">0.03</td>
<td align="center" valign="middle">0.03</td>
<td align="center" valign="middle">0.03</td>
<td align="center" valign="middle">0.03</td>
<td align="center" valign="middle">0.03</td>
<td align="center" valign="middle">0.04</td>
<td align="center" valign="middle">0.03</td>
<td align="center" valign="middle">0.03</td>
<td align="center" valign="middle">0.03</td>
<td align="center" valign="middle">1.65</td>
</tr>
<tr>
<td align="left" valign="middle">Brunei Darussalam</td>
<td align="center" valign="middle">0.00</td>
<td align="center" valign="middle">0.00</td>
<td align="center" valign="middle">0.00</td>
<td align="center" valign="middle">0.01</td>
<td align="center" valign="middle">0.02</td>
<td align="center" valign="middle">0.05</td>
<td align="center" valign="middle">0.01</td>
<td align="center" valign="middle">0.02</td>
<td align="center" valign="middle">0.02</td>
<td align="center" valign="middle">0.02</td>
<td align="center" valign="middle">0.02</td>
<td align="center" valign="middle">0.02</td>
<td align="center" valign="middle">0.04</td>
<td align="center" valign="middle">0.04</td>
<td align="center" valign="middle">0.03</td>
</tr>
<tr>
<td align="left" valign="middle">Cambodia</td>
<td align="center" valign="middle">0.14</td>
<td align="center" valign="middle">0.21</td>
<td align="center" valign="middle">0.34</td>
<td align="center" valign="middle">0.48</td>
<td align="center" valign="middle">0.74</td>
<td align="center" valign="middle">0.63</td>
<td align="center" valign="middle">0.57</td>
<td align="center" valign="middle">0.52</td>
<td align="center" valign="middle">0.58</td>
<td align="center" valign="middle">0.65</td>
<td align="center" valign="middle">0.56</td>
<td align="center" valign="middle">0.48</td>
<td align="center" valign="middle">0.60</td>
<td align="center" valign="middle">0.56</td>
<td align="center" valign="middle">0.02</td>
</tr>
<tr>
<td align="left" valign="middle">Laos</td>
<td align="center" valign="middle">4.28</td>
<td align="center" valign="middle">3.15</td>
<td align="center" valign="middle">1.62</td>
<td align="center" valign="middle">2.03</td>
<td align="center" valign="middle">1.84</td>
<td align="center" valign="middle">2.14</td>
<td align="center" valign="middle">2.51</td>
<td align="center" valign="middle">3.31</td>
<td align="center" valign="middle">2.39</td>
<td align="center" valign="middle">2.07</td>
<td align="center" valign="middle">2.66</td>
<td align="center" valign="middle">3.01</td>
<td align="center" valign="middle">2.35</td>
<td align="center" valign="middle">1.84</td>
<td align="center" valign="middle">1.41</td>
</tr>
<tr>
<td align="left" valign="middle">Myanmar</td>
<td align="center" valign="middle">0.66</td>
<td align="center" valign="middle">2.11</td>
<td align="center" valign="middle">3.70</td>
<td align="center" valign="middle">4.20</td>
<td align="center" valign="middle">3.62</td>
<td align="center" valign="middle">3.06</td>
<td align="center" valign="middle">3.55</td>
<td align="center" valign="middle">4.16</td>
<td align="center" valign="middle">3.64</td>
<td align="center" valign="middle">3.29</td>
<td align="center" valign="middle">2.79</td>
<td align="center" valign="middle">3.04</td>
<td align="center" valign="middle">3.70</td>
<td align="center" valign="middle">3.06</td>
<td align="center" valign="middle">3.00</td>
</tr>
<tr>
<td align="left" valign="middle">Vietnam</td>
<td align="center" valign="middle">2.52</td>
<td align="center" valign="middle">2.55</td>
<td align="center" valign="middle">2.44</td>
<td align="center" valign="middle">2.22</td>
<td align="center" valign="middle">1.85</td>
<td align="center" valign="middle">1.84</td>
<td align="center" valign="middle">1.58</td>
<td align="center" valign="middle">1.49</td>
<td align="center" valign="middle">1.42</td>
<td align="center" valign="middle">1.31</td>
<td align="center" valign="middle">1.14</td>
<td align="center" valign="middle">0.97</td>
<td align="center" valign="middle">0.97</td>
<td align="center" valign="middle">0.98</td>
<td align="center" valign="middle">0.91</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>According to <xref ref-type="table" rid="tab6">Table 6</xref>, overall, New Zealand and Myanmar have a very strong advantage in agricultural product exports, while Australia, Indonesia, Malaysia, the Philippines, Thailand, Laos, and Vietnam have a relatively strong advantage. China, Japan, South Korea, Brunei, and Cambodia have a relatively weaker advantage in agricultural product exports. China should not only learn from the advanced technology of developed countries and improve its level of specialization but also pay attention to the methods used by developing countries to promote agricultural exports. It should extract the essence and discard the dross, and propose relevant policy recommendations according to local conditions.</p>
</sec>
</sec>
<sec id="sec12">
<label>5</label>
<title>Empirical analysis of China&#x2019;s agricultural exports to RCEP countries</title>
<sec id="sec13">
<label>5.1</label>
<title>Applicability test</title>
<p>The applicability of the model was tested using the likelihood ratio test (LR test). The results are shown in <xref ref-type="table" rid="tab7">Table 7</xref>.</p>
<table-wrap position="float" id="tab7">
<label>Table 7</label>
<caption>
<p>Stochastic frontier gravity model applicability test.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top">Original hypothesis</th>
<th align="center" valign="top">Constrained model</th>
<th align="center" valign="top">Unconstrained model</th>
<th align="center" valign="top">LR-statistic</th>
<th align="center" valign="top">1% critical value</th>
<th align="center" valign="top">Conclusion</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="middle">No trade inefficiencies</td>
<td align="center" valign="middle">&#x2212;193.95</td>
<td align="center" valign="middle">&#x2212;20.57</td>
<td align="center" valign="middle">346.75</td>
<td align="center" valign="middle">9.21</td>
<td align="center" valign="middle">reject</td>
</tr>
<tr>
<td align="left" valign="middle">Non-efficiency term does not vary with time</td>
<td align="center" valign="middle">&#x2212;20.57</td>
<td align="center" valign="middle">0.89</td>
<td align="center" valign="middle">42.93</td>
<td align="center" valign="middle">11.345</td>
<td align="center" valign="middle">reject</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>According to <xref ref-type="table" rid="tab7">Table 7</xref>, the rejection of the initial hypothesis at a significant level indicates that the model passes the applicability test, the trade inefficiency term is present, the model is time-varying in form, and the time-varying stochastic frontier gravity model is set up correctly.</p>
</sec>
<sec id="sec14">
<label>5.2</label>
<title>Regression results of the stochastic frontier gravity model</title>
<p>The estimation results of the time-varying and time-invariant models are shown in <xref ref-type="table" rid="tab8">Table 8</xref>.</p>
<table-wrap position="float" id="tab8">
<label>Table 8</label>
<caption>
<p>Estimation results of the stochastic frontier gravity model and trade inefficiency modelling.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th rowspan="2"/>
<th align="center" valign="top" colspan="4">No influencing factors are added to the model</th>
<th align="center" valign="top" colspan="5">When influencing factors are added to the model</th>
</tr>
<tr>
<th align="center" valign="top" colspan="2">Time-invariant model</th>
<th align="center" valign="top" colspan="2">Time-varying model</th>
<th align="center" valign="top" colspan="2">Stochastic frontier gravity models</th>
<th align="center" valign="top" colspan="3">Trade inefficiency modelling</th>
</tr>
<tr>
<th align="left" valign="middle">Variables</th>
<th align="center" valign="middle">Coefficient</th>
<th align="center" valign="middle">T-values</th>
<th align="center" valign="middle">Coefficient</th>
<th align="center" valign="middle">T-values</th>
<th align="center" valign="middle">Coefficient</th>
<th align="center" valign="middle">T-values</th>
<th align="center" valign="middle">Variables</th>
<th align="center" valign="middle">Coefficient</th>
<th align="center" valign="middle">T-values</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="middle">lnCGDP</td>
<td align="center" valign="middle">1.693&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="middle">5.786</td>
<td align="center" valign="middle">2.749<sup>&#x002A;&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">13.591</td>
<td align="center" valign="middle">1.046<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">2.749</td>
<td align="center" valign="middle">FTA</td>
<td align="center" valign="middle">&#x2212;0.074</td>
<td align="center" valign="middle">&#x2212;0.684</td>
</tr>
<tr>
<td align="left" valign="middle">lnGDP</td>
<td align="center" valign="middle">1.208&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="middle">21.000</td>
<td align="center" valign="middle">1.573<sup>&#x002A;&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">14.362</td>
<td align="center" valign="middle">0.344<sup>&#x002A;&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">6.964</td>
<td align="center" valign="middle">TARI</td>
<td align="center" valign="middle">0.055<sup>&#x002A;&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">2.858</td>
</tr>
<tr>
<td align="left" valign="middle">lnCPOP</td>
<td align="center" valign="middle">&#x2212;13.872<sup>&#x002A;&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">&#x2212;3.527</td>
<td align="center" valign="middle">&#x2212;16.969<sup>&#x002A;&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">&#x2212;5.258</td>
<td align="center" valign="middle">&#x2212;4.853</td>
<td align="center" valign="middle">&#x2212;0.979</td>
<td align="center" valign="middle">SHP</td>
<td align="center" valign="middle">&#x2212;0.041<sup>&#x002A;&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">&#x2212;10.834</td>
</tr>
<tr>
<td align="left" valign="middle">lnPOP</td>
<td align="center" valign="middle">0.333<sup>&#x002A;&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">10.570</td>
<td align="center" valign="middle">0.516<sup>&#x002A;&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">3.914</td>
<td align="center" valign="middle">0.438<sup>&#x002A;&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">7.337</td>
<td align="center" valign="middle">GE</td>
<td align="center" valign="middle">&#x2212;0.405<sup>&#x002A;&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">&#x2212;3.288</td>
</tr>
<tr>
<td align="left" valign="middle">lnDIST</td>
<td align="center" valign="middle">0.064<sup>&#x002A;</sup></td>
<td align="center" valign="middle">1.140</td>
<td align="center" valign="middle">0.046</td>
<td align="center" valign="middle">0.959</td>
<td align="center" valign="middle">0.088<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">2.241</td>
<td align="center" valign="middle">PS</td>
<td align="center" valign="middle">0.362<sup>&#x002A;&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">4.731</td>
</tr>
<tr>
<td align="left" valign="middle">BOR</td>
<td align="center" valign="middle">0.345<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">2.011</td>
<td align="center" valign="middle">&#x2212;0.315</td>
<td align="center" valign="middle">&#x2212;0.606</td>
<td align="center" valign="middle">0.073</td>
<td align="center" valign="middle">0.645</td>
<td align="center" valign="middle">MON</td>
<td align="center" valign="middle">0.012<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">1.696</td>
</tr>
<tr>
<td align="left" valign="middle">EF</td>
<td align="center" valign="middle">0.012<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">2.608</td>
<td align="center" valign="middle">&#x2212;0.001</td>
<td align="center" valign="middle">&#x2212;0.153</td>
<td align="center" valign="middle">&#x2212;0.020<sup>&#x002A;&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">&#x2212;3.670</td>
<td align="center" valign="middle">TF</td>
<td align="center" valign="middle">0.009</td>
<td align="center" valign="middle">1.295</td>
</tr>
<tr>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td align="center" valign="middle">IF</td>
<td align="center" valign="middle">&#x2212;0.006</td>
<td align="center" valign="middle">&#x2212;1.548</td>
</tr>
<tr>
<td align="left" valign="middle">Con</td>
<td align="center" valign="middle">223.474&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="middle">3.000</td>
<td align="center" valign="middle">248.677<sup>&#x002A;&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">3.894</td>
<td align="center" valign="middle">76.060</td>
<td align="center" valign="middle">0.815</td>
<td/>
<td align="center" valign="middle">1.494<sup>&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">1.878</td>
</tr>
<tr>
<td align="left" valign="middle">&#x03C3;<sup>2</sup></td>
<td align="center" valign="middle">12.890<sup>&#x002A;&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">9.652</td>
<td align="center" valign="middle">23.856<sup>&#x002A;&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">8.739</td>
<td align="center" valign="middle" colspan="2">0.136</td>
<td/>
<td align="center" valign="middle" colspan="2">8.612</td>
</tr>
<tr>
<td align="left" valign="middle">&#x03B3;</td>
<td align="center" valign="middle">0.997<sup>&#x002A;&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">1486.184</td>
<td align="center" valign="middle">0.998<sup>&#x002A;&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">5919.859</td>
<td align="center" valign="middle" colspan="2">0.910</td>
<td/>
<td align="center" valign="middle" colspan="2">27.670</td>
</tr>
<tr>
<td align="left" valign="middle">&#x03B7;</td>
<td align="center" valign="middle">&#x2014;</td>
<td align="center" valign="middle">&#x2014;</td>
<td align="center" valign="middle">&#x2212;0.016<sup>&#x002A;&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">&#x2212;16.495</td>
<td align="center" valign="middle" colspan="2">&#x2014;</td>
<td/>
<td align="center" valign="middle" colspan="2">&#x2014;</td>
</tr>
<tr>
<td align="left" valign="middle">Log-likelihood</td>
<td align="center" valign="middle" colspan="2">&#x2212;20.571</td>
<td align="center" valign="middle" colspan="2">0.893</td>
<td align="center" valign="middle" colspan="5">&#x2212;28.119</td>
</tr>
<tr>
<td align="left" valign="middle">LR-Statistic</td>
<td align="center" valign="middle" colspan="2">346.749</td>
<td align="center" valign="middle" colspan="2">389.678</td>
<td align="center" valign="middle" colspan="5">331.653</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p>Data in the table are collated from Frontier 4.1, &#x002A;indicates significant at the 10 per cent level, &#x002A;&#x002A;indicates significant at the 5 per cent level, and &#x002A;&#x002A;&#x002A;indicates significant at the 1 per cent level.</p>
</table-wrap-foot>
</table-wrap>
<p>According to <xref ref-type="table" rid="tab8">Table 8</xref>, both the time-varying model and the time-invariant model exhibit a <italic>&#x03B3;</italic> value that is significantly high, which further confirms the existence of the trade inefficiency term and the applicability of the stochastic frontier gravity model. The <italic>&#x03B7;</italic> value of the time-varying model is significantly negative at the 1% level, indicating an increase in the trade inefficiency term. It is imperative to enhance the efficiency of China&#x2019;s agricultural product exports to RCEP countries.</p>
<p>From the perspective of explanatory variables, the following points are noted: First, the GDP of China and its RCEP partner countries has a significantly positive impact on China&#x2018;s agricultural product exports, indicating a strong promotional effect. Second, the total population of China has a significantly negative impact on agricultural product exports, which may be due to the high consumption of agricultural products by the exporting country&#x2019;s population or the low quality of agricultural product regulation that increases the difficulty of exports; in contrast, the total population of the importing country has a significantly positive impact on agricultural product exports, suggesting that the larger the population and market size of the importing country, the more it aids China&#x2019;s agricultural product exports. Third, the distance variable, border variable, and economic freedom have no significant impact on agricultural product exports, indicating that transportation costs, transportation time, and border cooperation related to them are not the main factors affecting China&#x2019;s agricultural product exports.</p>
</sec>
<sec id="sec15">
<label>5.3</label>
<title>Regression results of the trade inefficiency model</title>
<p>In the process of studying the trade inefficiency model, a positive coefficient of the independent variable means that the variable will increase trade inefficiency and hinder China&#x2019;s agricultural exports. A negative coefficient of the independent variable means that the variable will reduce trade inefficiency and promote China&#x2019;s agricultural exports.</p>
<p>The results of the estimated trade inefficiency model are shown in <xref ref-type="table" rid="tab8">Table 8</xref>.</p>
<p>First, the coefficient for tariffs is significantly positive, while the coefficients for the liner shipping connectivity index, government efficiency, and monetary freedom are significantly negative, all of which are in line with expectations. This indicates that the higher the tariff levels between China and RCEP member countries, the less favorable it is for China&#x2019;s agricultural product exports. Conversely, the better the importing country&#x2019;s infrastructure, the higher the government efficiency, and the more open the monetary policy, the more it benefits the export efficiency of China&#x2019;s agricultural products. Second, the positive coefficient for government stability is contrary to expectations, possibly due to the importing countries adopting trade protection measures to safeguard their domestic agricultural markets, thereby hindering China&#x2019;s agricultural exports. Third, the coefficients for free trade agreements, investment freedom, and trade freedom are not significant, which may be because there are large differences in the levels of economic, political, and cultural development among RCEP countries. Many countries have not yet established comprehensive trade reciprocity and investment management mechanisms, and there are numerous trade barriers, thus creating certain obstacles for China&#x2019;s agricultural product exports.</p>
</sec>
<sec id="sec16">
<label>5.4</label>
<title>Export efficiency, export potential and room for expansion</title>
<p>The export efficiency, export potential and scope for expansion in 2021&#x2013;2023 are shown in <xref ref-type="table" rid="tab9">Table 9</xref>.</p>
<table-wrap position="float" id="tab9">
<label>Table 9</label>
<caption>
<p>Trade efficiency, potential and room for expansion of China&#x2019;s agricultural exports to RCEP member countries, 2009&#x2013;2023.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top" rowspan="2">Countries</th>
<th align="center" valign="top" colspan="3">2021</th>
<th align="center" valign="top" colspan="3">2022</th>
<th align="center" valign="top" colspan="3">2023</th>
</tr>
<tr>
<th align="center" valign="top">Export efficiency</th>
<th align="center" valign="top">Export potential</th>
<th align="center" valign="top">Expandable space</th>
<th align="center" valign="top">Export efficiency</th>
<th align="center" valign="top">Export potential</th>
<th align="center" valign="top">Expandable space</th>
<th align="center" valign="top">Export efficiency</th>
<th align="center" valign="top">Export potential</th>
<th align="center" valign="top">Expandable space</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="middle">Japan</td>
<td align="center" valign="top">0.75</td>
<td align="center" valign="top">134.98</td>
<td align="center" valign="top">0.33</td>
<td align="center" valign="top">0.64</td>
<td align="center" valign="top">162.99</td>
<td align="center" valign="top">0.56</td>
<td align="center" valign="top">0.54</td>
<td align="center" valign="top">187.26</td>
<td align="center" valign="top">0.87</td>
</tr>
<tr>
<td align="left" valign="middle">South Korea</td>
<td align="center" valign="top">0.92</td>
<td align="center" valign="top">56.95</td>
<td align="center" valign="top">0.09</td>
<td align="center" valign="top">0.95</td>
<td align="center" valign="top">64.74</td>
<td align="center" valign="top">0.06</td>
<td align="center" valign="top">0.95</td>
<td align="center" valign="top">64.47</td>
<td align="center" valign="top">0.06</td>
</tr>
<tr>
<td align="left" valign="middle">Australia</td>
<td align="center" valign="top">0.24</td>
<td align="center" valign="top">44.37</td>
<td align="center" valign="top">3.20</td>
<td align="center" valign="top">0.27</td>
<td align="center" valign="top">53.58</td>
<td align="center" valign="top">2.76</td>
<td align="center" valign="top">0.24</td>
<td align="center" valign="top">64.11</td>
<td align="center" valign="top">3.09</td>
</tr>
<tr>
<td align="left" valign="middle">New Zeeland</td>
<td align="center" valign="top">0.20</td>
<td align="center" valign="top">11.44</td>
<td align="center" valign="top">3.88</td>
<td align="center" valign="top">0.25</td>
<td align="center" valign="top">13.18</td>
<td align="center" valign="top">3.02</td>
<td align="center" valign="top">0.26</td>
<td align="center" valign="top">14.30</td>
<td align="center" valign="top">2.90</td>
</tr>
<tr>
<td align="left" valign="middle">Indonesia</td>
<td align="center" valign="top">0.17</td>
<td align="center" valign="top">141.47</td>
<td align="center" valign="top">4.93</td>
<td align="center" valign="top">0.17</td>
<td align="center" valign="top">162.59</td>
<td align="center" valign="top">5.05</td>
<td align="center" valign="top">0.17</td>
<td align="center" valign="top">178.19</td>
<td align="center" valign="top">4.90</td>
</tr>
<tr>
<td align="left" valign="middle">Malaysia</td>
<td align="center" valign="top">0.97</td>
<td align="center" valign="top">43.28</td>
<td align="center" valign="top">0.03</td>
<td align="center" valign="top">0.97</td>
<td align="center" valign="top">55.18</td>
<td align="center" valign="top">0.03</td>
<td align="center" valign="top">0.95</td>
<td align="center" valign="top">53.53</td>
<td align="center" valign="top">0.06</td>
</tr>
<tr>
<td align="left" valign="middle">Philippine</td>
<td align="center" valign="top">0.37</td>
<td align="center" valign="top">73.20</td>
<td align="center" valign="top">1.70</td>
<td align="center" valign="top">0.31</td>
<td align="center" valign="top">86.23</td>
<td align="center" valign="top">2.18</td>
<td align="center" valign="top">0.28</td>
<td align="center" valign="top">96.77</td>
<td align="center" valign="top">2.63</td>
</tr>
<tr>
<td align="left" valign="middle">Thailand</td>
<td align="center" valign="top">0.84</td>
<td align="center" valign="top">54.49</td>
<td align="center" valign="top">0.19</td>
<td align="center" valign="top">0.76</td>
<td align="center" valign="top">63.23</td>
<td align="center" valign="top">0.31</td>
<td align="center" valign="top">0.65</td>
<td align="center" valign="top">70.91</td>
<td align="center" valign="top">0.55</td>
</tr>
<tr>
<td align="left" valign="middle">Singapore</td>
<td align="center" valign="top">0.96</td>
<td align="center" valign="top">12.24</td>
<td align="center" valign="top">0.04</td>
<td align="center" valign="top">0.96</td>
<td align="center" valign="top">14.86</td>
<td align="center" valign="top">0.04</td>
<td align="center" valign="top">0.92</td>
<td align="center" valign="top">15.22</td>
<td align="center" valign="top">0.08</td>
</tr>
<tr>
<td align="left" valign="middle">Brunei Darussalam</td>
<td align="center" valign="top">0.11</td>
<td align="center" valign="top">1.96</td>
<td align="center" valign="top">7.96</td>
<td align="center" valign="top">0.11</td>
<td align="center" valign="top">2.14</td>
<td align="center" valign="top">8.07</td>
<td align="center" valign="top">0.10</td>
<td align="center" valign="top">2.23</td>
<td align="center" valign="top">8.80</td>
</tr>
<tr>
<td align="left" valign="middle">Cambodia</td>
<td align="center" valign="top">0.13</td>
<td align="center" valign="top">14.61</td>
<td align="center" valign="top">6.98</td>
<td align="center" valign="top">0.13</td>
<td align="center" valign="top">16.08</td>
<td align="center" valign="top">6.65</td>
<td align="center" valign="top">0.13</td>
<td align="center" valign="top">16.60</td>
<td align="center" valign="top">6.87</td>
</tr>
<tr>
<td align="left" valign="middle">Laos</td>
<td align="center" valign="top">0.05</td>
<td align="center" valign="top">10.14</td>
<td align="center" valign="top">18.30</td>
<td align="center" valign="top">0.05</td>
<td align="center" valign="top">11.94</td>
<td align="center" valign="top">20.32</td>
<td align="center" valign="top">0.06</td>
<td align="center" valign="top">13.83</td>
<td align="center" valign="top">16.17</td>
</tr>
<tr>
<td align="left" valign="middle">Myanmar</td>
<td align="center" valign="top">0.14</td>
<td align="center" valign="top">36.62</td>
<td align="center" valign="top">6.40</td>
<td align="center" valign="top">0.11</td>
<td align="center" valign="top">43.60</td>
<td align="center" valign="top">8.10</td>
<td align="center" valign="top">0.12</td>
<td align="center" valign="top">50.96</td>
<td align="center" valign="top">7.58</td>
</tr>
<tr>
<td align="left" valign="middle">Vietnam</td>
<td align="center" valign="top">0.81</td>
<td align="center" valign="top">66.42</td>
<td align="center" valign="top">0.23</td>
<td align="center" valign="top">0.75</td>
<td align="center" valign="top">74.06</td>
<td align="center" valign="top">0.33</td>
<td align="center" valign="top">0.67</td>
<td align="center" valign="top">79.09</td>
<td align="center" valign="top">0.48</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p>Export potential in billions of United States dollars; potential for expansion&#x202F;=&#x202F;(export potential/actual value of exports&#x2212;1) &#x00D7; 100%.</p>
</table-wrap-foot>
</table-wrap>
<p><xref ref-type="bibr" rid="ref31">Sheng and Yunxin (2024)</xref> categorize export efficiency into four types of markets: Saturated (0.9 to 1.0), Expansion (0.6 to 0.9), Development (0.3 to 0.6), and Iceberg (0 to 0.3). According to the table, South Korea, Malaysia, and Singapore are Saturated markets where China&#x2018;s agricultural product exports are already quite mature, and it should further optimize the export structure of agricultural products and enhance their high added value. Thailand and Vietnam are Expansion markets, where China should expand investment in capital, technology, and management on the basis of a certain scale of agricultural product exports to promote market maturation. Australia, New Zealand, Indonesia, the Philippines, Brunei, Cambodia, Laos, and Myanmar are Iceberg markets. China&#x2018;s agricultural product export trade to these countries is yet to be developed and faces significant artificial resistance, and it should focus on encouraging trade liberalization and advocating for the elimination of trade barriers.</p>
<p>In terms of potential, over the past three years, the export potential of China to RCEP member countries has been continuously increasing. Individually, there are significant differences in the export potential of agricultural products to RCEP member countries. In 2023, the export potential to Japan is 187.26, while for Brunei it is 2.23, a difference of 84 times. This may be due to the large gap in economic development level and trade policies between the two countries. Among them, Japan, Indonesia, and the Philippines have tremendous export potential. As for the expandable space, China should pay special attention to agricultural trade with countries such as Cambodia, Myanmar, Laos, and Brunei, focusing on removing artificial trade barriers. It is necessary not only to focus on the current trade situation but also to take a long-term perspective and actively explore markets with a large potential for trade expansion.</p>
</sec>
</sec>
<sec id="sec17">
<label>6</label>
<title>Conclusion and policy implications</title>
<sec id="sec18">
<label>6.1</label>
<title>Conclusion</title>
<p>This study, employing the Stochastic Frontier Gravity Model, systematically examines China&#x2019;s agricultural exports to RCEP countries through three key dimensions. First, it analyzes the export patterns of Chinese agricultural products within the region. Second, it explores the determinants influencing these exports. Finally, it evaluates the efficiency, potential, and expansion capacity of China&#x2019;s agricultural trade with RCEP member states.</p>
<p>The study yields the following key findings:</p>
<p>Export Patterns: China&#x2019;s agricultural exports to RCEP countries constitute a substantial share of its total agricultural trade, accounting for 42.15% of overall exports. Between 2009 and 2023, the average annual export growth rate reached 6.81%, reflecting consistent and stable expansion with a positive long-term outlook. Japan, South Korea, and Vietnam emerged as China&#x2019;s top three export markets, capturing 4.37, 6.55, and 5.25% of the market share, respectively. In contrast, Cambodia, Laos, and Brunei registered the lowest market shares, at 0.11, 0.05, and 0.02%, respectively, highlighting significant disparities in regional demand. Notably, while China&#x2019;s market share in Japan and South Korea&#x2014;two critical agricultural import destinations&#x2014;has been declining, other RCEP countries have exhibited gradual increases, indicating shifts in the competitive landscape. The leading category of agricultural exports consists of food, beverages, alcohol, vinegar, tobacco, and related products, whereas the least exported category includes silk, wool, cotton, and hemp products. Furthermore, the complementarity between China&#x2019;s agricultural exports and RCEP countries&#x2019; agricultural imports has been declining, suggesting a diminishing alignment between supply and market demand.</p>
<p>Determinants of Agricultural Exports: The analysis identifies China&#x2019;s GDP as a significant and positive factor driving agricultural exports to RCEP nations. However, this impact is more pronounced for developing countries than for developed ones. China&#x2019;s total population exerts a negative effect, whereas the total population of importing countries has a positive impact on agricultural trade. Meanwhile, variables such as distance, shared borders, and economic freedom do not exhibit statistically significant effects. The tariff coefficient is notably positive, indicating that higher tariffs impede China&#x2019;s agricultural exports. Conversely, the coefficients for the Liner Shipping Connectivity Index, government efficiency, and monetary freedom are negative, implying that enhancements in these factors contribute positively to export performance. Additionally, government stability positively influences exports, whereas free trade agreements, investment freedom, and trade freedom demonstrate insignificant effects, suggesting that these elements do not serve as major constraints on China&#x2019;s agricultural trade with RCEP countries.</p>
<p>Export Potential and Expansion Capacity: The study classifies RCEP markets into three categories based on their saturation and growth potential. South Korea, Malaysia, and Singapore are identified as saturated markets, exhibiting limited room for further expansion. Thailand and Vietnam are categorized as expansion markets, where growth opportunities remain. Meanwhile, Australia, New Zealand, Indonesia, the Philippines, Brunei, Cambodia, Laos, and Myanmar are designated as iceberg markets, representing untapped or underdeveloped trade opportunities. The export potential of China&#x2019;s agricultural products within the RCEP region has been steadily increasing, with Japan displaying the highest potential and Brunei the lowest. To optimize trade expansion, China should prioritize agricultural trade partnerships with Cambodia, Myanmar, Laos, and Brunei, where opportunities for growth remain substantial.</p>
<p>These findings offer critical insights for policymakers and stakeholders seeking to enhance China&#x2019;s agricultural trade strategy within the RCEP framework.</p>
</sec>
<sec id="sec19">
<label>6.2</label>
<title>Policy implications</title>
<p>Based on the findings of this study, the following policy recommendations are proposed: First, optimize the export structure and enhance the competitiveness of agricultural exports. Following the implementation of the RCEP agreement, tariff reductions have promoted mutual market openness among member countries, while lower export costs have intensified agricultural competition. China should actively adjust its agricultural export structure by increasing the share of high-value-added and high-tech products. Enterprises should focus on technological innovation and talent development to improve the quality of agricultural products and enhance processing technologies. Meanwhile, the government should increase financial support, introduce preferential policies, reduce export costs, and strengthen core competitiveness to build international competitive advantages.</p>
<p>Second, consider national differences within the RCEP and expand regional agricultural cooperation. China should adopt a strategic, region-specific approach by recognizing variations in geography, market demand, and tariff levels among RCEP member countries. Strengthening political consultation and policy trust, improving infrastructure cooperation, and formulating targeted trade and investment strategies will help meet the diverse needs of different markets. For countries such as Laos and Myanmar, which have high export potential and expansion capacity, both the government and enterprises should intensify market development efforts and promote deeper, broader regional agricultural cooperation.</p>
<p>Third, improve information exchange platforms and develop innovative marketing models. Information plays a crucial role in facilitating trade. China should establish and enhance modernized information exchange platforms to strengthen communication on agricultural trade with RCEP member countries. Keeping up to date with policies on the origin of goods will allow timely adjustments to import and export decisions. Leveraging emerging digital technologies such as big data and the Internet of Things (IoT), alongside cross-border e-commerce and live-streaming sales platforms, can accelerate the digital transformation of agricultural exports, enabling more precise and intelligent services for diverse market needs.</p>
<p>Fourth, fully implement the RCEP agreement and improve risk prevention mechanisms. China should comprehensively implement all aspects of the RCEP agreement, capitalize on its benefits, and actively disseminate preferential policies to major agricultural enterprises. Simplifying tariff exemption procedures and reducing export costs are essential. Additionally, a realistic evaluation of the current status and prospects of China&#x2019;s agricultural exports should be conducted, ensuring readiness for potential risks. Recognizing the long-term and objective nature of these challenges, China should establish risk response mechanisms in collaboration with relevant countries to effectively address various risks and uncertainties in a timely manner.</p>
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<sec sec-type="data-availability" id="sec20">
<title>Data availability statement</title>
<p>The datasets presented in this article are not readily available because we will upload later. Requests to access the datasets should be directed to <email>hashmishabbir@163.com</email>.</p>
</sec>
<sec sec-type="author-contributions" id="sec21">
<title>Author contributions</title>
<p>LS: Formal analysis, Funding acquisition, Writing &#x2013; original draft. SZ: Data curation, Writing &#x2013; original draft. SH: Investigation, Writing &#x2013; review &#x0026; editing.</p>
</sec>
<sec sec-type="funding-information" id="sec22">
<title>Funding</title>
<p>The author(s) declare that financial support was received for the research and/or publication of this article. This research has been supported by National Statistical Science Research (project no. 2023LY056); Philosophy and Social Science Research in Colleges and Universities in Jiangsu Province (project no. 2024SJYB1459). This research is funded by the Suzhou City University (project no. 5010714424).</p>
</sec>
<sec sec-type="COI-statement" id="sec23">
<title>Conflict of interest</title>
<p>The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec sec-type="disclaimer" id="sec24">
<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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