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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Public Health</journal-id>
<journal-title-group>
<journal-title>Frontiers in Public Health</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Public Health</abbrev-journal-title>
</journal-title-group>
<issn pub-type="epub">2296-2565</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.3389/fpubh.2025.1729223</article-id>
<article-version article-version-type="Version of Record" vocab="NISO-RP-8-2008"/>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Original Research</subject>
</subj-group>
</article-categories>
<title-group>
<article-title>Research on the spatial&#x2013;temporal evolution of healthcare resource allocation efficiency in China</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Wan</surname>
<given-names>Lin</given-names>
</name>
<xref ref-type="aff" rid="aff1"/>
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</contrib>
<contrib contrib-type="author">
<name>
<surname>Ye</surname>
<given-names>Jiayi</given-names>
</name>
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<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="conceptualization" vocab-term-identifier="https://credit.niso.org/contributor-roles/conceptualization/">Conceptualization</role>
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</contrib>
<contrib contrib-type="author">
<name>
<surname>Shi</surname>
<given-names>Wuxiang</given-names>
</name>
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<contrib contrib-type="author">
<name>
<surname>Huang</surname>
<given-names>Youhao</given-names>
</name>
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</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Huang</surname>
<given-names>Shangyuhui</given-names>
</name>
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<xref ref-type="corresp" rid="c001"><sup>&#x002A;</sup></xref>
<uri xlink:href="https://loop.frontiersin.org/people/2191320"/>
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<aff id="aff1"><institution>School of Humanities and Management, Guilin Medical University</institution>, <city>Guilin</city>, <country country="cn">China</country></aff>
<author-notes>
<corresp id="c001"><label>&#x002A;</label>Correspondence: Shangyuhui Huang, <email xlink:href="mailto:124518513@qq.com">124518513@qq.com</email></corresp>
</author-notes>
<pub-date publication-format="electronic" date-type="pub" iso-8601-date="2026-01-15">
<day>15</day>
<month>01</month>
<year>2026</year>
</pub-date>
<pub-date publication-format="electronic" date-type="collection">
<year>2025</year>
</pub-date>
<volume>13</volume>
<elocation-id>1729223</elocation-id>
<history>
<date date-type="received">
<day>21</day>
<month>10</month>
<year>2025</year>
</date>
<date date-type="rev-recd">
<day>24</day>
<month>12</month>
<year>2025</year>
</date>
<date date-type="accepted">
<day>29</day>
<month>12</month>
<year>2025</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#x00A9; 2026 Wan, Ye, Shi, Huang and Huang.</copyright-statement>
<copyright-year>2026</copyright-year>
<copyright-holder>Wan, Ye, Shi, Huang and Huang</copyright-holder>
<license>
<ali:license_ref start_date="2026-01-15">https://creativecommons.org/licenses/by/4.0/</ali:license_ref>
<license-p>This is an open-access article distributed under the terms of the <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">Creative Commons Attribution License (CC BY)</ext-link>. The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</license-p>
</license>
</permissions>
<abstract>
<sec>
<title>Objective</title>
<p>To analyze the allocation efficiency of healthcare resources in 31 provinces, municipalities and autonomous regions in China from 2014 to 2023, and propose improvements to enhance the level of healthcare services in China.</p>
</sec>
<sec>
<title>Methods</title>
<p>The DEA-BCC model was used to measure the static efficiency, and the Malmquist index was used to analyze the dynamic changes of total factor productivity, and the regional efficiency comparison and spatial&#x2013;temporal evolution analysis were carried out.</p>
</sec>
<sec>
<title>Results</title>
<p>The input of healthcare resources in China continued to increase, but the output was lagging behind. In 2023, the national average comprehensive efficiency was 0.869, and more than half of the provinces were DEA-ineffective. Regional differences are obvious, the efficiency of the eastern region is leading, the central region is low, and the western region fluctuates greatly. From 2014 to 2023, the average national total factor productivity was 0.984, and the efficiency showed a slight downward trend. Further decomposition finds that the lag of technological progress is a key factor restricting the improvement of total factor productivity.</p>
</sec>
<sec>
<title>Conclusion</title>
<p>A customized resource rebalancing strategy at the provincial level should be implemented to reduce the over-allocation of hospitals and beds. Concurrently, accelerating the diffusion of medical technologies to primary care is essential, and make up for the shortcomings of technological progress through regional cooperation platforms and mandatory equipment update cycles. Furthermore, benchmarking management should be adopted, drawing on the practical experience of high-efficiency provinces in integrated healthcare alliances and digital health integration.</p>
</sec>
</abstract>
<kwd-group>
<kwd>allocation efficiency</kwd>
<kwd>data envelopment analysis</kwd>
<kwd>evaluation</kwd>
<kwd>healthcare resources</kwd>
<kwd>Malmquist index</kwd>
<kwd>policy</kwd>
</kwd-group>
<funding-group>
<funding-statement>The author(s) declared that financial support was received for this work and/or its publication. This study was funded by the 2023 Guangxi Basic Ability Enhancement Program for Young and Middle-aged Teachers in Universities: Research on Equity and Prediction of Health Human Resource Allocation in Guangxi (2023KY0495), 2022 Guilin Medical University Doctoral Research Startup Foundation (20501022004), 2023 Guangxi Characteristic New Think Tank Alliance Major Special Research Project (GXZC2023-C3-001424-GTZX), 2024 Guangxi Health Commission Western Medicine Category Self-funded Research Project: Research on Guangxi Nursing Resource Allocation Based on Equity and Efficiency (Project No.: 20242229) Guangxi Social Medicine and Health Management&#x2019;s Bagui Scholar Funding Project (Grant No. 2020GXWFSAA57146). Guangxi Young and Middle-aged Teachers&#x2019; Scientific Research Basic Skills Enhancement Project: Research on Equity and Prediction of Health Human Resources Allocation in Guangxi (No. 2023KY0495). Self-funded Scientific Research Projects of the Health Commission of Guangxi Zhuang Autonomous Region: Research on Nursing Resource Allocation in Guangxi Based on Fairness and Efficiency (Z-A20240363).</funding-statement>
</funding-group>
<counts>
<fig-count count="5"/>
<table-count count="6"/>
<equation-count count="0"/>
<ref-count count="24"/>
<page-count count="14"/>
<word-count count="8743"/>
</counts>
<custom-meta-group>
<custom-meta>
<meta-name>section-at-acceptance</meta-name>
<meta-value>Public Health Policy</meta-value>
</custom-meta>
</custom-meta-group>
</article-meta>
</front>
<body>
<sec sec-type="intro" id="sec1">
<label>1</label>
<title>Introduction</title>
<p>The rational allocation of healthcare resources is the core foundation for safeguarding public health and advancing the high-quality development of health sector. Since the release of the &#x201C;Healthy China 2030 &#x201C;Blueprint (hereinafter referred to as the &#x201C;Outline &#x201C;) in 2016, The strategic imperative to &#x201C;achieve a life expectancy of 79&#x202F;years&#x201D; has imposed rigorous demands for the accuracy and efficiency of medical and health resource allocation (<xref ref-type="bibr" rid="ref1">1</xref>). Since then, a series of pivotal policies, including the &#x201C;Implementation Plan for High-Quality and Efficient Healthcare Service System Construction in the 14th Five-Year Plan Period&#x201D; and &#x201C;the Guidelines on Further Improving the Healthcare Service System&#x201D; (hereinafter referred to as the &#x201C;Plan&#x201D; and &#x201C;Guidelines&#x201D;), have been successively introduced. These documents have further underscored the objective of promoting the expansion and equitable distribution of high-quality resources and enhancing the balance of resource allocation (<xref ref-type="bibr" rid="ref2 ref3 ref4">2&#x2013;4</xref>). However, the acceleration of population aging has heightened the demand for chronic disease management, while regional economic disparities have led to uneven resource allocation and inadequate primary healthcare capacity (<xref ref-type="bibr" rid="ref5">5</xref>, <xref ref-type="bibr" rid="ref6">6</xref>). These issues have collectively exacerbated the disparities in the distribution of healthcare resources across provinces, emerging as a critical bottleneck hindering the comprehensive advancement of the Healthy China strategy. Without effective improvement, this will directly impact whether the public can access high-quality healthcare services equitably and conveniently, thereby affecting societal health, well-being, and sustainable development. Consequently, scientifically evaluating the efficiency of healthcare resource allocation across provinces and identifying key areas of inefficiency has become a crucial prerequisite for optimizing resource distribution and enhancing service accessibility.</p>
<p>Reviewing relevant domestic scholarly research reveals studies that focus on specific provinces, as well as those adopting an urban&#x2013;rural perspective. These studies highlight the polarization in the allocation of healthcare resources between urban and rural areas, emphasizing the need to increase support for rural regions. They advocate for establishing mechanisms to complement and share medical resources across urban and rural areas, while also strengthening the development of talent pools in rural areas (<xref ref-type="bibr" rid="ref7 ref8 ref9">7&#x2013;9</xref>). However, this method mainly analyzes whether the allocation of medical and health resources is effective from a static perspective, and has certain limitations in analyzing the spatial and temporal dynamic changes of resource allocation efficiency. To bridge this gap, this study comprehensively employs the BCC and Malmquist index models within Data Envelopment Analysis to systematically analyze the spatiotemporal characteristics of healthcare resource allocation efficiency in China&#x2019;s 31 provinces from 2014 to 2023. It provides empirical to optimize resource allocation and enhance healthcare service efficiency.</p>
<p>The study makes three primary contributions. First, by integrating static (BCC) and dynamic (Malmquist) DEA models, it provides a dual perspective that reveals both the cross-sectional disparities and the temporal dynamics of efficiency changes. Second, it offers a decade-long (2014&#x2013;2023), nationwide comparative analysis of all provincial-level units, which is more comprehensive in both temporal and geographical scope than studies limited to single years or specific regions. Third, it elucidates distinct spatiotemporal patterns among China&#x2019;s eastern, central, and western regions, thereby furnishing policy-relevant evidence for differentiated regional governance and targeted interventions.</p>
</sec>
<sec sec-type="materials|methods" id="sec2">
<label>2</label>
<title>Materials and methods</title>
<sec id="sec3">
<label>2.1</label>
<title>Sources of materials</title>
<p>This study utilizes official provincial-level annual data from the National Bureau of Statistics. The dataset covers the period from 2014 to 2023 and has been collated and validated for consistency. Following the classification standards of the National Bureau of Statistics, the 31 provinces of mainland China (excluding Hong Kong, Macao, and Taiwan) are categorized into three regions: Eastern, Central, and Western. The eastern region comprises 11 provinces: Beijing, Tianjin, Hebei, Shanghai, Jiangsu, Zhejiang, Fujian, Shandong, Guangdong, Hainan, Liaoning; The Central Region encompasses 8 provinces: Shanxi, Anhui, Jiangxi, Henan, Hubei, Hunan, Jilin, Heilongjiang; The Western Region includes 12 provinces: Inner Mongolia, Guangxi, Chongqing, Sichuan, Guizhou, Yunnan, Tibet, Shaanxi, Gansu, Qinghai, Ningxia, Xinjiang.</p>
</sec>
<sec id="sec4">
<label>2.2</label>
<title>Research methods</title>
<p>This study applies the BCC model in Data Envelopment Analysis (DEA) to conduct a static efficiency measurement, and adopts the Malmquist index to evaluate the dynamics of total factor productivity (TFP). For comparative analysis, the 31 provinces in China are categorized into three broad geographical regions&#x2014;eastern, central, and western&#x2014;to further elucidate the spatial distribution patterns and interregional disparities in the efficiency of healthcare resource allocation.</p>
<p>Data Envelopment Analysis (DEA) is a non-parametric method used to evaluate the relative efficiency of decision-making units (DMU) with multiple inputs and outputs, and it has been widely applied in healthcare efficiency measurement (<xref ref-type="bibr" rid="ref10">10</xref>). Among various DEA models, the Charnes-Cooper-Rhodes (CCR) and Banker-Charnes-Cooper (BCC) models are the most commonly applied (<xref ref-type="bibr" rid="ref11">11</xref>). This study utilizes the DEA-BCC model, which assumes variable returns to scale, to assess three key efficiency metrics: Comprehensive Technical Efficiency, Pure Technical Efficiency, and Scale Efficiency. Comprehensive Technical Efficiency is the product of PTE and SE, with scores ranging from 0 to 1. A score of 1 indicates relative efficiency, whereas a score below 1 indicates relative inefficiency.</p>
<p>The Malmquist index model is a dynamic analysis framework used to examine changes in total factor productivity across different periods for decision-making units (<xref ref-type="bibr" rid="ref12">12</xref>). An index value greater than 1 indicates an improvement in efficiency, while a value less than 1 signifies a decline. This index can be decomposed into two components: technical efficiency change and technological progress change. Through this decomposition structure, it is possible not only to identify trends in efficiency changes but also to pinpoint the primary sources of efficiency variation.</p>
<p>While the DEA-BCC model provides a static evaluation of resource allocation efficiency within a single year, the Malmquist index captures efficiency changes over time and distinguishes whether they stem from improvements in technical efficiency or advancements in technology. Since static analysis alone provides a limited view of dynamic changes, combining DEA with TFP analysis enables a more holistic assessment of both the current state and long-term trends in medical resource allocation. Therefore, TFP analysis is not separate from efficiency research but rather extends it by uncovering the underlying drivers of efficiency change.</p>
</sec>
<sec id="sec5">
<label>2.3</label>
<title>Selection of indicators</title>
<p>This study not only follows the basic requirements of the data envelopment analysis model for the number of decision making units when selecting indicators, that is, the number of decision making units is at least twice the total number of input and output indicators, but also draws on the relevant research results of Xu Pingping (<xref ref-type="bibr" rid="ref13">13</xref>), Duan Guimin (<xref ref-type="bibr" rid="ref14">14</xref>) and Cui Chengsen (<xref ref-type="bibr" rid="ref15">15</xref>). Finally, the input and output indicators is determined: the input indicators selects health technicians, institutional beds and medical facilities from the three levels of manpower, material resources and institutional scale, which correspond to the core manpower, material resources and infrastructure resources of the medical and health system, and can directly reflect the accessibility of medical and health service capabilities. The output indicators focus on the core achievements of medical services, and select the number of patient visits and hospital discharges. It not only captures the intensity of service utilization, but also is a classic indicator in the field of medical and health efficiency evaluation. Together, it comprehensively reflects the supply capacity and actual service output level of the provincial medical and health system.</p>
</sec>
</sec>
<sec sec-type="results" id="sec6">
<label>3</label>
<title>Results</title>
<sec id="sec7">
<label>3.1</label>
<title>Input and output indicators for healthcare resources in China, 2014&#x2013;2023</title>
<p>The period 2014&#x2013;2023 witnessed commensurate expansion across all three input indicators within China&#x2019;s healthcare system. Health technicians demonstrated the most pronounced growth trajectory at an average annual rate of 5.69%, followed by institutional beds (4.92%) and medical facilities (4.48%). In contrast, the growth of output indicators remains modest and exhibits considerable volatility. The average annual growth rates for outpatient visits and hospital discharges are 2.57 and 4.45%, respectively. Notably, service output experienced significant fluctuations in 2020 due to the COVID-19 pandemic, with the number of patient visits and discharges declining by 11.23 and 13.29%, respectively. This sharp contraction can be primarily attributed to constrained access to healthcare facilities, the deferral of non-urgent medical care, and a reduced propensity of patients to seek treatment amidst pandemic control measures. A gradual recovery commenced in 2021&#x2013;2022, culminating in a rebound to record-high levels by 2023. Over the ten-year span, the cumulative growth in resource inputs (health technicians: +64.54%; hospital beds: +54.12%; medical facilities: +48.32%) generally surpassed the growth in service volume (patient visits: +25.64%; hospital discharges: +47.93%). This suggests a suboptimal translation of resources into effective service delivery, highlighting issues of low utilization efficiency (<xref ref-type="table" rid="tab1">Table 1</xref>).</p>
<table-wrap position="float" id="tab1">
<label>Table 1</label>
<caption>
<p>Input and output indicators for healthcare resources in China (2014&#x2013;2023).</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top" rowspan="2">Year</th>
<th align="center" valign="top" colspan="3">Input indicators</th>
<th align="center" valign="top" colspan="2">Output indicators</th>
</tr>
<tr>
<th align="center" valign="top">Health technicians (10,000 persons)</th>
<th align="center" valign="top">Institutional beds (10,000 units)</th>
<th align="center" valign="top">Medical facilities (unit)</th>
<th align="center" valign="top">Patient visits (100 million person - times)</th>
<th align="center" valign="top">Hospital discharges (10,000 persons)</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top">2014</td>
<td align="char" valign="top" char=".">757.98</td>
<td align="char" valign="top" char=".">660.12</td>
<td align="center" valign="top">25,860</td>
<td align="char" valign="top" char=".">76.04</td>
<td align="char" valign="top" char=".">20365.74</td>
</tr>
<tr>
<td align="left" valign="top">2015</td>
<td align="char" valign="top" char=".">799.74</td>
<td align="char" valign="top" char=".">701.52</td>
<td align="center" valign="top">27,587</td>
<td align="char" valign="top" char=".">76.99</td>
<td align="char" valign="top" char=".">20954.90</td>
</tr>
<tr>
<td align="left" valign="top">2016</td>
<td align="char" valign="top" char=".">844.46</td>
<td align="char" valign="top" char=".">741.06</td>
<td align="center" valign="top">29,140</td>
<td align="char" valign="top" char=".">79.30</td>
<td align="char" valign="top" char=".">22603.65</td>
</tr>
<tr>
<td align="left" valign="top">2017</td>
<td align="char" valign="top" char=".">897.83</td>
<td align="char" valign="top" char=".">794.01</td>
<td align="center" valign="top">31,056</td>
<td align="char" valign="top" char=".">81.81</td>
<td align="char" valign="top" char=".">24315.71</td>
</tr>
<tr>
<td align="left" valign="top">2018</td>
<td align="char" valign="top" char=".">951.95</td>
<td align="char" valign="top" char=".">840.37</td>
<td align="center" valign="top">33,009</td>
<td align="char" valign="top" char=".">83.05</td>
<td align="char" valign="top" char=".">25384.65</td>
</tr>
<tr>
<td align="left" valign="top">2019</td>
<td align="char" valign="top" char=".">1014.39</td>
<td align="char" valign="top" char=".">880.70</td>
<td align="center" valign="top">34,354</td>
<td align="char" valign="top" char=".">87.19</td>
<td align="char" valign="top" char=".">26502.68</td>
</tr>
<tr>
<td align="left" valign="top">2020</td>
<td align="char" valign="top" char=".">1066.79</td>
<td align="char" valign="top" char=".">910.11</td>
<td align="center" valign="top">35,394</td>
<td align="char" valign="top" char=".">77.41</td>
<td align="char" valign="top" char=".">22980.50</td>
</tr>
<tr>
<td align="left" valign="top">2021</td>
<td align="char" valign="top" char=".">1123.44</td>
<td align="char" valign="top" char=".">945.01</td>
<td align="center" valign="top">36,570</td>
<td align="char" valign="top" char=".">84.74</td>
<td align="char" valign="top" char=".">24642.10</td>
</tr>
<tr>
<td align="left" valign="top">2022</td>
<td align="char" valign="top" char=".">1165.80</td>
<td align="char" valign="top" char=".">975.00</td>
<td align="center" valign="top">36,976</td>
<td align="char" valign="top" char=".">84.16</td>
<td align="char" valign="top" char=".">24484.74</td>
</tr>
<tr>
<td align="left" valign="top">2023</td>
<td align="char" valign="top" char=".">1248.84</td>
<td align="char" valign="top" char=".">1017.36</td>
<td align="center" valign="top">38,355</td>
<td align="char" valign="top" char=".">95.50</td>
<td align="char" valign="top" char=".">30126.26</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="sec8">
<label>3.2</label>
<title>Analysis of DEA results on healthcare resource allocation efficiency</title>
<sec id="sec9">
<label>3.2.1</label>
<title>Overall characteristics and temporal variation in healthcare resource allocation efficiency</title>
<p>An analysis of healthcare resource allocation efficiency for China&#x2019;s 31 provinces in 2023 was conducted through the DEA-BCC model employing DEAP 2.1 software, from which the evaluation results were obtained. Scale efficiency reflects the degree of alignment between the scale of healthcare resource inputs and outputs, while pure technical efficiency reflects the utilization effectiveness determined by management and technology application levels (<xref ref-type="table" rid="tab2">Table 2</xref>).</p>
<table-wrap position="float" id="tab2">
<label>Table 2</label>
<caption>
<p>Efficiency of healthcare resource allocation in 31 provinces of China in 2023.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top">Region</th>
<th align="center" valign="top">Comprehensive technical efficiency</th>
<th align="center" valign="top">Pure technical efficiency</th>
<th align="center" valign="top">Scale efficiency</th>
<th align="left" valign="top">Returns to scale</th>
<th align="left" valign="top">DEA validity</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top">Beijing</td>
<td align="char" valign="top" char=".">1.000</td>
<td align="char" valign="top" char=".">1.000</td>
<td align="char" valign="top" char=".">1.000</td>
<td align="left" valign="top">-</td>
<td align="left" valign="top">Valid</td>
</tr>
<tr>
<td align="left" valign="top">Tianjin</td>
<td align="char" valign="top" char=".">0.903</td>
<td align="char" valign="top" char=".">0.993</td>
<td align="char" valign="top" char=".">0.909</td>
<td align="left" valign="top">irs</td>
<td align="left" valign="top">Invalid</td>
</tr>
<tr>
<td align="left" valign="top">Hebei</td>
<td align="char" valign="top" char=".">0.801</td>
<td align="char" valign="top" char=".">0.801</td>
<td align="char" valign="top" char=".">1.000</td>
<td align="left" valign="top">-</td>
<td align="left" valign="top">Invalid</td>
</tr>
<tr>
<td align="left" valign="top">Shanghai</td>
<td align="char" valign="top" char=".">1.000</td>
<td align="char" valign="top" char=".">1.000</td>
<td align="char" valign="top" char=".">1.000</td>
<td align="left" valign="top">-</td>
<td align="left" valign="top">Valid</td>
</tr>
<tr>
<td align="left" valign="top">Jiangsu</td>
<td align="char" valign="top" char=".">0.902</td>
<td align="char" valign="top" char=".">0.910</td>
<td align="char" valign="top" char=".">0.991</td>
<td align="left" valign="top">drs</td>
<td align="left" valign="top">Invalid</td>
</tr>
<tr>
<td align="left" valign="top">Zhejiang</td>
<td align="char" valign="top" char=".">1.000</td>
<td align="char" valign="top" char=".">1.000</td>
<td align="char" valign="top" char=".">1.000</td>
<td align="left" valign="top">-</td>
<td align="left" valign="top">Valid</td>
</tr>
<tr>
<td align="left" valign="top">Fujian</td>
<td align="char" valign="top" char=".">0.885</td>
<td align="char" valign="top" char=".">0.885</td>
<td align="char" valign="top" char=".">1.000</td>
<td align="left" valign="top">-</td>
<td align="left" valign="top">Invalid</td>
</tr>
<tr>
<td align="left" valign="top">Shandong</td>
<td align="char" valign="top" char=".">0.943</td>
<td align="char" valign="top" char=".">1.000</td>
<td align="char" valign="top" char=".">0.943</td>
<td align="left" valign="top">drs</td>
<td align="left" valign="top">Weakly efficient</td>
</tr>
<tr>
<td align="left" valign="top">Guangdong</td>
<td align="char" valign="top" char=".">1.000</td>
<td align="char" valign="top" char=".">1.000</td>
<td align="char" valign="top" char=".">1.000</td>
<td align="left" valign="top">-</td>
<td align="left" valign="top">Valid</td>
</tr>
<tr>
<td align="left" valign="top">Hainan</td>
<td align="char" valign="top" char=".">0.696</td>
<td align="char" valign="top" char=".">0.936</td>
<td align="char" valign="top" char=".">0.743</td>
<td align="left" valign="top">irs</td>
<td align="left" valign="top">Invalid</td>
</tr>
<tr>
<td align="left" valign="top">Liaoning</td>
<td align="char" valign="top" char=".">0.708</td>
<td align="char" valign="top" char=".">0.711</td>
<td align="char" valign="top" char=".">0.996</td>
<td align="left" valign="top">irs</td>
<td align="left" valign="top">Invalid</td>
</tr>
<tr>
<td align="left" valign="top">Eastern region</td>
<td align="char" valign="top" char=".">0.894</td>
<td align="char" valign="top" char=".">0.931</td>
<td align="char" valign="top" char=".">0.962</td>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="top">Shanxi</td>
<td align="char" valign="top" char=".">0.637</td>
<td align="char" valign="top" char=".">0.646</td>
<td align="char" valign="top" char=".">0.986</td>
<td align="left" valign="top">irs</td>
<td align="left" valign="top">Invalid</td>
</tr>
<tr>
<td align="left" valign="top">Anhui</td>
<td align="char" valign="top" char=".">0.846</td>
<td align="char" valign="top" char=".">0.853</td>
<td align="char" valign="top" char=".">0.992</td>
<td align="left" valign="top">drs</td>
<td align="left" valign="top">Invalid</td>
</tr>
<tr>
<td align="left" valign="top">Jiangxi</td>
<td align="char" valign="top" char=".">0.870</td>
<td align="char" valign="top" char=".">0.870</td>
<td align="char" valign="top" char=".">1.000</td>
<td align="left" valign="top">-</td>
<td align="left" valign="top">Invalid</td>
</tr>
<tr>
<td align="left" valign="top">Henan</td>
<td align="char" valign="top" char=".">0.924</td>
<td align="char" valign="top" char=".">1.000</td>
<td align="char" valign="top" char=".">0.924</td>
<td align="left" valign="top">drs</td>
<td align="left" valign="top">Weakly efficient</td>
</tr>
<tr>
<td align="left" valign="top">Hubei</td>
<td align="char" valign="top" char=".">1.000</td>
<td align="char" valign="top" char=".">1.000</td>
<td align="char" valign="top" char=".">1.000</td>
<td align="left" valign="top">-</td>
<td align="left" valign="top">Valid</td>
</tr>
<tr>
<td align="left" valign="top">Hunan</td>
<td align="char" valign="top" char=".">0.916</td>
<td align="char" valign="top" char=".">0.923</td>
<td align="char" valign="top" char=".">0.992</td>
<td align="left" valign="top">drs</td>
<td align="left" valign="top">Invalid</td>
</tr>
<tr>
<td align="left" valign="top">Jilin</td>
<td align="char" valign="top" char=".">0.644</td>
<td align="char" valign="top" char=".">0.659</td>
<td align="char" valign="top" char=".">0.976</td>
<td align="left" valign="top">irs</td>
<td align="left" valign="top">Invalid</td>
</tr>
<tr>
<td align="left" valign="top">Heilongjiang</td>
<td align="char" valign="top" char=".">0.816</td>
<td align="char" valign="top" char=".">0.826</td>
<td align="char" valign="top" char=".">0.988</td>
<td align="left" valign="top">irs</td>
<td align="left" valign="top">Invalid</td>
</tr>
<tr>
<td align="left" valign="top">Central region</td>
<td align="char" valign="top" char=".">0.832</td>
<td align="char" valign="top" char=".">0.847</td>
<td align="char" valign="top" char=".">0.982</td>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="top">Inner Mongolia</td>
<td align="char" valign="top" char=".">0.662</td>
<td align="char" valign="top" char=".">0.672</td>
<td align="char" valign="top" char=".">0.986</td>
<td align="left" valign="top">irs</td>
<td align="left" valign="top">Invalid</td>
</tr>
<tr>
<td align="left" valign="top">Guangxi</td>
<td align="char" valign="top" char=".">1.000</td>
<td align="char" valign="top" char=".">1.000</td>
<td align="char" valign="top" char=".">1.000</td>
<td align="left" valign="top">-</td>
<td align="left" valign="top">Valid</td>
</tr>
<tr>
<td align="left" valign="top">Chongqing</td>
<td align="char" valign="top" char=".">1.000</td>
<td align="char" valign="top" char=".">1.000</td>
<td align="char" valign="top" char=".">1.000</td>
<td align="left" valign="top">-</td>
<td align="left" valign="top">Valid</td>
</tr>
<tr>
<td align="left" valign="top">Sichuan</td>
<td align="char" valign="top" char=".">0.999</td>
<td align="char" valign="top" char=".">1.000</td>
<td align="char" valign="top" char=".">0.999</td>
<td align="left" valign="top">drs</td>
<td align="left" valign="top">Weakly efficient</td>
</tr>
<tr>
<td align="left" valign="top">Guizhou</td>
<td align="char" valign="top" char=".">0.953</td>
<td align="char" valign="top" char=".">0.957</td>
<td align="char" valign="top" char=".">0.995</td>
<td align="left" valign="top">drs</td>
<td align="left" valign="top">Invalid</td>
</tr>
<tr>
<td align="left" valign="top">Yunnan</td>
<td align="char" valign="top" char=".">0.947</td>
<td align="char" valign="top" char=".">0.953</td>
<td align="char" valign="top" char=".">0.994</td>
<td align="left" valign="top">drs</td>
<td align="left" valign="top">Invalid</td>
</tr>
<tr>
<td align="left" valign="top">Tibet</td>
<td align="char" valign="top" char=".">0.521</td>
<td align="char" valign="top" char=".">1.000</td>
<td align="char" valign="top" char=".">0.521</td>
<td align="left" valign="top">irs</td>
<td align="left" valign="top">Weakly efficient</td>
</tr>
<tr>
<td align="left" valign="top">Shaanxi</td>
<td align="char" valign="top" char=".">0.853</td>
<td align="char" valign="top" char=".">0.855</td>
<td align="char" valign="top" char=".">0.998</td>
<td align="left" valign="top">drs</td>
<td align="left" valign="top">Invalid</td>
</tr>
<tr>
<td align="left" valign="top">Gansu</td>
<td align="char" valign="top" char=".">0.864</td>
<td align="char" valign="top" char=".">0.889</td>
<td align="char" valign="top" char=".">0.971</td>
<td align="left" valign="top">irs</td>
<td align="left" valign="top">Invalid</td>
</tr>
<tr>
<td align="left" valign="top">Qinghai</td>
<td align="char" valign="top" char=".">0.724</td>
<td align="char" valign="top" char=".">0.969</td>
<td align="char" valign="top" char=".">0.747</td>
<td align="left" valign="top">irs</td>
<td align="left" valign="top">Invalid</td>
</tr>
<tr>
<td align="left" valign="top">Ningxia</td>
<td align="char" valign="top" char=".">0.935</td>
<td align="char" valign="top" char=".">1.000</td>
<td align="char" valign="top" char=".">0.935</td>
<td align="left" valign="top">irs</td>
<td align="left" valign="top">Weakly efficient</td>
</tr>
<tr>
<td align="left" valign="top">Xinjiang</td>
<td align="char" valign="top" char=".">1.000</td>
<td align="char" valign="top" char=".">1.000</td>
<td align="char" valign="top" char=".">1.000</td>
<td align="left" valign="top">-</td>
<td align="left" valign="top">Valid</td>
</tr>
<tr>
<td align="left" valign="top">Western region</td>
<td align="char" valign="top" char=".">0.872</td>
<td align="char" valign="top" char=".">0.941</td>
<td align="char" valign="top" char=".">0.929</td>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="top">Mean</td>
<td align="char" valign="top" char=".">0.869</td>
<td align="char" valign="top" char=".">0.913</td>
<td align="char" valign="top" char=".">0.954</td>
<td/>
<td/>
</tr>
</tbody>
</table>
</table-wrap>
<p>The DEA efficiency evaluation revealed a distinct three-tier distribution among the 31 regions. Eight regions&#x2014;Beijing, Shanghai, Zhejiang, Guangdong, Hubei, Guangxi, Chongqing, and Xinjiang&#x2014;were identified as DEA-efficient, accounting for 25.8% of the total. Five regions&#x2014;Shandong, Henan, Sichuan, Tibet, and Ningxia&#x2014;demonstrated weak DEA efficiency, characterized by pure technical efficiency scores of 1 but overall technical efficiency scores below 1, representing 16.1% of cases. The remaining 18 regions, including Tianjin, Hebei, and Jiangsu, were classified as DEA-ineffective with overall technical efficiency scores below 1, constituting 58.1% of the total.</p>
<p>At the national level, the average comprehensive technical efficiency across China&#x2019;s 31 provinces was 0.869, with 12 regions falling below this mean. The lowest efficiency was observed in Tibet (0.521), followed by Shanxi (0.637). The average pure technical efficiency stood at 0.913, yet 12 regions remained below the average. With Shanxi (0.646) and Jilin (0.659) recording the lowest values. Scale efficiency reached a relatively high mean of 0.954, with 7 regions performing below this level&#x2014;Tibet (0.521) and Hainan (0.743) being the least efficient. Regarding returns to scale, 11 regions including Tianjin and Hainan, exhibited increasing returns, nine regions, such as Jiangsu and Shandong showed decreasing returns, the remaining 11 regions maintained constant returns to scale. Geographically, the eastern region achieved the highest comprehensive efficiency, followed by the western and central regions. The eastern region&#x2019;s strong performance stems from its high pure technical efficiency and favorable scale efficiency. The western region&#x2019;s greatest advantage lies in its leading pure technical efficiency, though its scale efficiency remains relatively low. In contrast, the central region&#x2019;s inefficiency was primarily attributable to significantly lower pure technical efficiency, while near-optimal scale efficiency. This indicates the issue lies not in scale size but in how to utilize existing inputs more effectively.</p>
<p>Applying the same methodology to analyze healthcare resources across China&#x2019;s 31 provinces from 2014 to 2023 reveals stagnant growth in national average comprehensive efficiency, which increased marginally from 0.868 to 0.869, remaining suboptimal. Seven regions&#x2014;Shanghai, Zhejiang, Henan, Tibet, Guangdong, Guangxi, and Sichuan&#x2014;maintained efficiency throughout the decade. Chongqing achieved efficiency in nine out of ten years, except for 2018. Hubei experienced a low level of healthcare resource allocation efficiency in 2020 due to pandemic-induced resource constraints, but achieved efficiency in the remaining nine years. Four regions&#x2014;Shandong, Jiangxi, Hunan, and Ningxia&#x2014;exhibited a volatile trajectory, frequently alternating between relative efficiency and inefficiency over the decade. Meanwhile, eighteen regions, including Tianjin, Hebei, Jiangsu, and Fujian, demonstrated persistent inefficiency in most years, with minor fluctuations in efficiency scores.</p>
</sec>
<sec id="sec10">
<label>3.2.2</label>
<title>Analysis of input redundancy and output deficiency in DEA-ineffective provinces</title>
<p>To further identify the sources of inefficiency, a slack variable analysis was conducted on provinces with low DEA efficiency. The results indicate that inefficiency is primarily attributable to input excess rather than output shortfall, as detailed in <xref ref-type="table" rid="tab3">Tables 3</xref>, <xref ref-type="table" rid="tab4">4</xref>.</p>
<table-wrap position="float" id="tab3">
<label>Table 3</label>
<caption>
<p>Input redundancy of healthcare resources in DEA-inefficient regions.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th/>
<th align="center" valign="top" colspan="4">Relaxation variable S-</th>
<th align="center" valign="top" colspan="3">Input redundancy rate</th>
</tr>
<tr>
<th align="left" valign="top">Region</th>
<th align="center" valign="top">Medical facilities (unit)</th>
<th align="center" valign="top">Institutional beds (10,000 units)</th>
<th align="center" valign="top">Health technicians (10,000 persons)</th>
<th align="center" valign="top">Summary</th>
<th align="center" valign="top">Medical facilities (unit)</th>
<th align="center" valign="top">Institutional beds (10,000 units)</th>
<th align="center" valign="top">Health Technicians (10,000 persons)</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="middle">Tianjin</td>
<td align="char" valign="middle" char=".">152.448</td>
<td align="char" valign="middle" char=".">0.000</td>
<td align="char" valign="middle" char=".">1.482</td>
<td align="char" valign="middle" char=".">153.929</td>
<td align="char" valign="middle" char=".">0.333</td>
<td align="char" valign="middle" char=".">0.000</td>
<td align="char" valign="middle" char=".">0.111</td>
</tr>
<tr>
<td align="left" valign="middle">Hebei</td>
<td align="char" valign="middle" char=".">561.342</td>
<td align="char" valign="middle" char=".">3.285</td>
<td align="char" valign="middle" char=".">0.000</td>
<td align="char" valign="middle" char=".">564.627</td>
<td align="char" valign="middle" char=".">0.226</td>
<td align="char" valign="middle" char=".">0.062</td>
<td align="char" valign="middle" char=".">0.000</td>
</tr>
<tr>
<td align="left" valign="middle">Jiangsu</td>
<td align="char" valign="middle" char=".">72.823</td>
<td align="char" valign="middle" char=".">0.000</td>
<td align="char" valign="middle" char=".">0.000</td>
<td align="char" valign="middle" char=".">72.823</td>
<td align="char" valign="middle" char=".">0.034</td>
<td align="char" valign="middle" char=".">0.000</td>
<td align="char" valign="middle" char=".">0.000</td>
</tr>
<tr>
<td align="left" valign="middle">Fujian</td>
<td align="char" valign="middle" char=".">0.000</td>
<td align="char" valign="middle" char=".">0.000</td>
<td align="char" valign="middle" char=".">0.000</td>
<td align="char" valign="middle" char=".">0.000</td>
<td align="char" valign="middle" char=".">0.000</td>
<td align="char" valign="middle" char=".">0.000</td>
<td align="char" valign="middle" char=".">0.000</td>
</tr>
<tr>
<td align="left" valign="middle">Hainan</td>
<td align="char" valign="middle" char=".">0.000</td>
<td align="char" valign="middle" char=".">0.000</td>
<td align="char" valign="middle" char=".">0.015</td>
<td align="char" valign="middle" char=".">0.015</td>
<td align="char" valign="middle" char=".">0.000</td>
<td align="char" valign="middle" char=".">0.000</td>
<td align="char" valign="middle" char=".">0.002</td>
</tr>
<tr>
<td align="left" valign="middle">Liaoning</td>
<td align="char" valign="middle" char=".">272.115</td>
<td align="char" valign="middle" char=".">0.000</td>
<td align="char" valign="middle" char=".">0.000</td>
<td align="char" valign="middle" char=".">272.115</td>
<td align="char" valign="middle" char=".">0.177</td>
<td align="char" valign="middle" char=".">0.000</td>
<td align="char" valign="middle" char=".">0.000</td>
</tr>
<tr>
<td align="left" valign="middle">Shanxi</td>
<td align="char" valign="middle" char=".">192.038</td>
<td align="char" valign="middle" char=".">0.000</td>
<td align="char" valign="middle" char=".">0.000</td>
<td align="char" valign="middle" char=".">192.038</td>
<td align="char" valign="middle" char=".">0.139</td>
<td align="char" valign="middle" char=".">0.000</td>
<td align="char" valign="middle" char=".">0.000</td>
</tr>
<tr>
<td align="left" valign="middle">Anhui</td>
<td align="char" valign="middle" char=".">0.000</td>
<td align="char" valign="middle" char=".">1.927</td>
<td align="char" valign="middle" char=".">0.000</td>
<td align="char" valign="middle" char=".">1.927</td>
<td align="char" valign="middle" char=".">0.000</td>
<td align="char" valign="middle" char=".">0.042</td>
<td align="char" valign="middle" char=".">0.000</td>
</tr>
<tr>
<td align="left" valign="middle">Jiangxi</td>
<td align="char" valign="middle" char=".">9.918</td>
<td align="char" valign="middle" char=".">0.779</td>
<td align="char" valign="middle" char=".">0.000</td>
<td align="char" valign="middle" char=".">10.697</td>
<td align="char" valign="middle" char=".">0.009</td>
<td align="char" valign="middle" char=".">0.023</td>
<td align="char" valign="middle" char=".">0.000</td>
</tr>
<tr>
<td align="left" valign="middle">Hunan</td>
<td align="char" valign="middle" char=".">0.000</td>
<td align="char" valign="middle" char=".">0.078</td>
<td align="char" valign="middle" char=".">0.000</td>
<td align="char" valign="middle" char=".">0.078</td>
<td align="char" valign="middle" char=".">0.000</td>
<td align="char" valign="middle" char=".">0.001</td>
<td align="char" valign="middle" char=".">0.000</td>
</tr>
<tr>
<td align="left" valign="middle">Jilin</td>
<td align="char" valign="middle" char=".">13.395</td>
<td align="char" valign="middle" char=".">0.000</td>
<td align="char" valign="middle" char=".">0.000</td>
<td align="char" valign="middle" char=".">13.395</td>
<td align="char" valign="middle" char=".">0.015</td>
<td align="char" valign="middle" char=".">0.000</td>
<td align="char" valign="middle" char=".">0.000</td>
</tr>
<tr>
<td align="left" valign="middle">Heilongjiang</td>
<td align="char" valign="middle" char=".">327.349</td>
<td align="char" valign="middle" char=".">1.789</td>
<td align="char" valign="middle" char=".">0.000</td>
<td align="char" valign="middle" char=".">329.138</td>
<td align="char" valign="middle" char=".">0.262</td>
<td align="char" valign="middle" char=".">0.065</td>
<td align="char" valign="middle" char=".">0.000</td>
</tr>
<tr>
<td align="left" valign="middle">Inner Mongolia</td>
<td align="char" valign="middle" char=".">22.979</td>
<td align="char" valign="middle" char=".">0.000</td>
<td align="char" valign="middle" char=".">0.492</td>
<td align="char" valign="middle" char=".">23.471</td>
<td align="char" valign="middle" char=".">0.027</td>
<td align="char" valign="middle" char=".">0.000</td>
<td align="char" valign="middle" char=".">0.021</td>
</tr>
<tr>
<td align="left" valign="middle">Guizhou</td>
<td align="char" valign="middle" char=".">227.119</td>
<td align="char" valign="middle" char=".">0.000</td>
<td align="char" valign="middle" char=".">0.000</td>
<td align="char" valign="middle" char=".">227.119</td>
<td align="char" valign="middle" char=".">0.147</td>
<td align="char" valign="middle" char=".">0.000</td>
<td align="char" valign="middle" char=".">0.000</td>
</tr>
<tr>
<td align="left" valign="middle">Yunnan</td>
<td align="char" valign="middle" char=".">0.000</td>
<td align="char" valign="middle" char=".">0.000</td>
<td align="char" valign="middle" char=".">0.000</td>
<td align="char" valign="middle" char=".">0.000</td>
<td align="char" valign="middle" char=".">0.000</td>
<td align="char" valign="middle" char=".">0.000</td>
<td align="char" valign="middle" char=".">0.000</td>
</tr>
<tr>
<td align="left" valign="middle">Shaanxi</td>
<td align="char" valign="middle" char=".">0.000</td>
<td align="char" valign="middle" char=".">0.000</td>
<td align="char" valign="middle" char=".">1.133</td>
<td align="char" valign="middle" char=".">1.133</td>
<td align="char" valign="middle" char=".">0.000</td>
<td align="char" valign="middle" char=".">0.000</td>
<td align="char" valign="middle" char=".">0.029</td>
</tr>
<tr>
<td align="left" valign="middle">Gansu</td>
<td align="char" valign="middle" char=".">0.000</td>
<td align="char" valign="middle" char=".">0.000</td>
<td align="char" valign="middle" char=".">0.000</td>
<td align="char" valign="middle" char=".">0.000</td>
<td align="char" valign="middle" char=".">0.000</td>
<td align="char" valign="middle" char=".">0.000</td>
<td align="char" valign="middle" char=".">0.000</td>
</tr>
<tr>
<td align="left" valign="middle">Qinghai</td>
<td align="char" valign="middle" char=".">15.233</td>
<td align="char" valign="middle" char=".">0.000</td>
<td align="char" valign="middle" char=".">0.055</td>
<td align="char" valign="middle" char=".">15.288</td>
<td align="char" valign="middle" char=".">0.063</td>
<td align="char" valign="middle" char=".">0.000</td>
<td align="char" valign="middle" char=".">0.010</td>
</tr>
</tbody>
</table>
</table-wrap>
<table-wrap position="float" id="tab4">
<label>Table 4</label>
<caption>
<p>Output insufficiency of healthcare resources in DEA-inefficient regions.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th/>
<th align="center" valign="top" colspan="3">Relaxation variable S+</th>
<th align="center" valign="top" colspan="2">Output insufficient rate</th>
</tr>
<tr>
<th align="left" valign="top">Region</th>
<th align="center" valign="top">Patient visits (100 million person - times)</th>
<th align="center" valign="top">Hospital discharges (10,000 persons)</th>
<th align="center" valign="top">Summary</th>
<th align="center" valign="top">Patient visits (100 million person - times)</th>
<th align="center" valign="top">Hospital discharges (10,000 persons)</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="middle">Tianjin</td>
<td align="char" valign="middle" char=".">0.000</td>
<td align="char" valign="middle" char=".">0.000</td>
<td align="char" valign="middle" char=".">0.000</td>
<td align="char" valign="middle" char=".">0.000</td>
<td align="char" valign="middle" char=".">0.000</td>
</tr>
<tr>
<td align="left" valign="middle">Hebei</td>
<td align="char" valign="middle" char=".">0.000</td>
<td align="char" valign="middle" char=".">0.000</td>
<td align="char" valign="middle" char=".">0.000</td>
<td align="char" valign="middle" char=".">0.000</td>
<td align="char" valign="middle" char=".">0.000</td>
</tr>
<tr>
<td align="left" valign="middle">Jiangsu</td>
<td align="char" valign="middle" char=".">0.000</td>
<td align="char" valign="middle" char=".">0.000</td>
<td align="char" valign="middle" char=".">0.000</td>
<td align="char" valign="middle" char=".">0.000</td>
<td align="char" valign="middle" char=".">0.000</td>
</tr>
<tr>
<td align="left" valign="middle">Fujian</td>
<td align="char" valign="middle" char=".">0.000</td>
<td align="char" valign="middle" char=".">0.000</td>
<td align="char" valign="middle" char=".">0.000</td>
<td align="char" valign="middle" char=".">0.000</td>
<td align="char" valign="middle" char=".">0.000</td>
</tr>
<tr>
<td align="left" valign="middle">Hainan</td>
<td align="char" valign="middle" char=".">0.000</td>
<td align="char" valign="middle" char=".">0.000</td>
<td align="char" valign="middle" char=".">0.000</td>
<td align="char" valign="middle" char=".">0.000</td>
<td align="char" valign="middle" char=".">0.000</td>
</tr>
<tr>
<td align="left" valign="middle">Liaoning</td>
<td align="char" valign="middle" char=".">0.038</td>
<td align="char" valign="middle" char=".">0.000</td>
<td align="char" valign="middle" char=".">0.038</td>
<td align="char" valign="middle" char=".">0.020</td>
<td align="char" valign="middle" char=".">0.000</td>
</tr>
<tr>
<td align="left" valign="middle">Shanxi</td>
<td align="char" valign="middle" char=".">0.000</td>
<td align="char" valign="middle" char=".">0.000</td>
<td align="char" valign="middle" char=".">0.000</td>
<td align="char" valign="middle" char=".">0.000</td>
<td align="char" valign="middle" char=".">0.000</td>
</tr>
<tr>
<td align="left" valign="middle">Anhui</td>
<td align="char" valign="middle" char=".">0.000</td>
<td align="char" valign="middle" char=".">0.000</td>
<td align="char" valign="middle" char=".">0.000</td>
<td align="char" valign="middle" char=".">0.000</td>
<td align="char" valign="middle" char=".">0.000</td>
</tr>
<tr>
<td align="left" valign="middle">Jiangxi</td>
<td align="char" valign="middle" char=".">0.000</td>
<td align="char" valign="middle" char=".">0.000</td>
<td align="char" valign="middle" char=".">0.000</td>
<td align="char" valign="middle" char=".">0.000</td>
<td align="char" valign="middle" char=".">0.000</td>
</tr>
<tr>
<td align="left" valign="middle">Hunan</td>
<td align="char" valign="middle" char=".">0.046</td>
<td align="char" valign="middle" char=".">0.000</td>
<td align="char" valign="middle" char=".">0.046</td>
<td align="char" valign="middle" char=".">0.011</td>
<td align="char" valign="middle" char=".">0.000</td>
</tr>
<tr>
<td align="left" valign="middle">Jilin</td>
<td align="char" valign="middle" char=".">0.000</td>
<td align="char" valign="middle" char=".">0.000</td>
<td align="char" valign="middle" char=".">0.000</td>
<td align="char" valign="middle" char=".">0.000</td>
<td align="char" valign="middle" char=".">0.000</td>
</tr>
<tr>
<td align="left" valign="middle">Heilongjiang</td>
<td align="char" valign="middle" char=".">0.525</td>
<td align="char" valign="middle" char=".">0.000</td>
<td align="char" valign="middle" char=".">0.525</td>
<td align="char" valign="middle" char=".">0.437</td>
<td align="char" valign="middle" char=".">0.000</td>
</tr>
<tr>
<td align="left" valign="middle">Inner Mongolia</td>
<td align="char" valign="middle" char=".">0.000</td>
<td align="char" valign="middle" char=".">0.000</td>
<td align="char" valign="middle" char=".">0.000</td>
<td align="char" valign="middle" char=".">0.000</td>
<td align="char" valign="middle" char=".">0.000</td>
</tr>
<tr>
<td align="left" valign="middle">Guizhou</td>
<td align="char" valign="middle" char=".">0.272</td>
<td align="char" valign="middle" char=".">0.000</td>
<td align="char" valign="middle" char=".">0.272</td>
<td align="char" valign="middle" char=".">0.130</td>
<td align="char" valign="middle" char=".">0.000</td>
</tr>
<tr>
<td align="left" valign="middle">Yunnan</td>
<td align="char" valign="middle" char=".">0.000</td>
<td align="char" valign="middle" char=".">0.000</td>
<td align="char" valign="middle" char=".">0.000</td>
<td align="char" valign="middle" char=".">0.000</td>
<td align="char" valign="middle" char=".">0.000</td>
</tr>
<tr>
<td align="left" valign="middle">Shaanxi</td>
<td align="char" valign="middle" char=".">0.000</td>
<td align="char" valign="middle" char=".">0.000</td>
<td align="char" valign="middle" char=".">0.000</td>
<td align="char" valign="middle" char=".">0.000</td>
<td align="char" valign="middle" char=".">0.000</td>
</tr>
<tr>
<td align="left" valign="middle">Gansu</td>
<td align="char" valign="middle" char=".">0.241</td>
<td align="char" valign="middle" char=".">0.000</td>
<td align="char" valign="middle" char=".">0.241</td>
<td align="char" valign="middle" char=".">0.199</td>
<td align="char" valign="middle" char=".">0.000</td>
</tr>
<tr>
<td align="left" valign="middle">Qinghai</td>
<td align="char" valign="middle" char=".">0.000</td>
<td align="char" valign="middle" char=".">0.000</td>
<td align="char" valign="middle" char=".">0.000</td>
<td align="char" valign="middle" char=".">0.000</td>
<td align="char" valign="middle" char=".">0.000</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>From the perspective of input redundancy, an excess number of hospitals constitutes the most prominent issue among DEA-inefficient provinces. Significant hospital redundancy is observed in Hebei, Heilongjiang, Liaoning, Guizhou, and Tianjin. Among these, Tianjin exhibits the highest redundancy rate at 33.3%, followed by Heilongjiang (26.2%) and Hebei (22.6%). This suggests that investment in medical facilities in these provinces has surpassed current service demand, pointing to issues of institutional over-expansion and functional overlap. In contrast, redundancy in beds and health technicians is more concentrated in a limited set of provinces. Bed redundancy rates are notably high in Hebei (6.2%) and Heilongjiang (6.5%). Similarly, health technician redundancy rates are elevated in Inner Mongolia (2.1%) and Shaanxi (2.9%). This pattern reflects a regional mismatch between resource allocation and service demand, rather than a nationwide oversupply.</p>
<p>Regarding output shortfalls, 18 DEA-inefficient provinces showed no deficiency in hospital discharges. Only a few provinces exhibited significant shortfalls in outpatient and emergency visits. Heilongjiang had the highest deficiency rate at 43.7%, followed by Gansu (19.9%) and Guizhou (13%). This indicates that low efficiency stems primarily from underutilization and misallocation of healthcare investments, not from a lack of service demand. Notably, several DEA-inefficient provinces exhibit negligible slack values. This indicates that their operations are close to the production frontier and require optimization through technological or managerial upgrades, rather than resource cutbacks.</p>
</sec>
<sec id="sec11">
<label>3.2.3</label>
<title>Regional disparities in healthcare resource allocation efficiency</title>
<p>By dividing China&#x2019;s 31 provinces into eastern, central, and western regions, it was found that there are significant regional disparities in the efficiency of healthcare resource allocation across the country. Overall, the eastern region consistently demonstrated the highest comprehensive efficiency, followed by the western region, while the central region exhibited the lowest efficiency. When compared to the national average comprehensive efficiency, the eastern region persistently surpassed this benchmark. The western region slightly exceeded the national average in 2020 and 2023 but remained below it during the other eight years, while the central region consistently performed below average throughout the entire period. Furthermore, the eastern region maintained relatively high comprehensive technical efficiency over most years, demonstrating its advantage in healthcare resource allocation. Although the western region displayed lower efficiency levels, it showed gradual improvement. Conversely, the central region experienced significant fluctuations in comprehensive efficiency, with an overall downward trend (<xref ref-type="fig" rid="fig1">Figure 1</xref>).</p>
<fig position="float" id="fig1">
<label>Figure 1</label>
<caption>
<p>Comprehensive technical efficiency of healthcare resource allocation in 31 provinces (2014&#x2013;2023).</p>
</caption>
<graphic xlink:href="fpubh-13-1729223-g001.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">Line chart showing the trends in energy efficiency from 2014 to 2023 for East, Central, and Western China, as well as nationwide averages. East China starts highest in 2014 and experiences a downward trend until 2022, then rises in 2023. Central China has fluctuating values, bottoming in 2022 with a rise in 2023. Western China and nationwide follow similar patterns, with declines post-2019 and recovery in 2023.</alt-text>
</graphic>
</fig>
<p>Further decomposition revealed that distinct regional patterns in both scale and pure technical efficiency between the eastern, central, and western regions. Regarding scale efficiency, the eastern and central regions exhibit fluctuations at relatively high levels but show an overall stabilizing trend, indicating reasonably optimized resource allocation scales. In contrast, the western region experienced greater volatility, displaying a general decline before 2022 followed by moderate improvement in 2023, yet remaining consistently below the national average (<xref ref-type="fig" rid="fig2">Figure 2</xref>). In the terms pure technical efficiency, the eastern region maintained a leading position despite a continuous decline since its peak in 2016. The central region exhibited considerable fluctuation at levels substantially below the national average, while the western region showed an oscillating yet upward trajectory (<xref ref-type="fig" rid="fig3">Figure 3</xref>). Comprehensively, the eastern region sustained superior performance across efficiency dimensions, reflecting its advanced overall efficiency in healthcare resource allocation. Although the central and western regions started from lower baselines in certain dimensions, their gradual improvement signals potential for future development. The national trend closely mirrors that of the eastern region, suggesting that efficiency gains in healthcare resource allocation nationwide are largely driven by the eastern regions performance.</p>
<fig position="float" id="fig2">
<label>Figure 2</label>
<caption>
<p>Scale efficiency of healthcare resource allocation in 31 provinces (2014&#x2013;2023).</p>
</caption>
<graphic xlink:href="fpubh-13-1729223-g002.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">Line chart depicting regional trends from 2014 to 2023. East China (blue) and Central China (orange) maintain higher values, hovering around 0.96 to 0.98. Western China (gray) and Nationwide (yellow) show lower values, with noticeable declines around 2021, recovering slightly by 2023.</alt-text>
</graphic>
</fig>
<fig position="float" id="fig3">
<label>Figure 3</label>
<caption>
<p>Pure technical efficiency of healthcare resource allocation in 31 provinces (2014&#x2013;2023).</p>
</caption>
<graphic xlink:href="fpubh-13-1729223-g003.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">Line graph depicting data from 2014 to 2023 on East China, Central China, Western China, and Nationwide trends. East China shows a fluctuation with a recent increase; Central China fluctuates but declines sharply in 2020 before recovering; Western China shows stability with a recent rise; Nationwide trends are similar to East China with a recent increase.</alt-text>
</graphic>
</fig>
</sec>
</sec>
<sec id="sec12">
<label>3.3</label>
<title>Spatiotemporal evolution of total factor productivity in healthcare resources</title>
<sec id="sec13">
<label>3.3.1</label>
<title>Temporal dynamics of total factor productivity and its decomposition in healthcare resources</title>
<p>Building upon the initial analysis, the Malmquist model was implemented through DEAP 2.1 software to evaluate input&#x2013;output indicators of healthcare resources across China&#x2019;s 31 provinces from 2014 to 2023. This yielded the total factor productivity index for healthcare resource allocation efficiency in China, along with its decomposition results. Within this framework, technical efficiency reflects the degree of comprehensiveness in utilizing healthcare resources, while technical progress manifests as enhancements in healthcare personnel capabilities or advancements in medical technology (<xref ref-type="table" rid="tab5">Table 5</xref>).</p>
<table-wrap position="float" id="tab5">
<label>Table 5</label>
<caption>
<p>Changes in total factor productivity index of healthcare resources (2014&#x2013;2023).</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top">Year</th>
<th align="center" valign="top">Technical efficiency</th>
<th align="center" valign="top">Technological progress</th>
<th align="center" valign="top">Pure technical efficiency</th>
<th align="center" valign="top">Scale efficiency</th>
<th align="center" valign="top">Total factor productivity</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top">2014&#x2014;2015</td>
<td align="char" valign="top" char=".">1.003</td>
<td align="char" valign="top" char=".">0.964</td>
<td align="char" valign="top" char=".">1.009</td>
<td align="char" valign="top" char=".">0.994</td>
<td align="char" valign="top" char=".">0.967</td>
</tr>
<tr>
<td align="left" valign="top">2015&#x2014;2016</td>
<td align="char" valign="top" char=".">1.020</td>
<td align="char" valign="top" char=".">0.988</td>
<td align="char" valign="top" char=".">1.013</td>
<td align="char" valign="top" char=".">1.007</td>
<td align="char" valign="top" char=".">1.007</td>
</tr>
<tr>
<td align="left" valign="top">2016&#x2014;2017</td>
<td align="char" valign="top" char=".">1.000</td>
<td align="char" valign="top" char=".">0.994</td>
<td align="char" valign="top" char=".">0.998</td>
<td align="char" valign="top" char=".">1.002</td>
<td align="char" valign="top" char=".">0.994</td>
</tr>
<tr>
<td align="left" valign="top">2017&#x2014;2018</td>
<td align="char" valign="top" char=".">0.996</td>
<td align="char" valign="top" char=".">0.983</td>
<td align="char" valign="top" char=".">1.003</td>
<td align="char" valign="top" char=".">0.992</td>
<td align="char" valign="top" char=".">0.979</td>
</tr>
<tr>
<td align="left" valign="top">2018&#x2014;2019</td>
<td align="char" valign="top" char=".">0.989</td>
<td align="char" valign="top" char=".">0.993</td>
<td align="char" valign="top" char=".">0.990</td>
<td align="char" valign="top" char=".">0.999</td>
<td align="char" valign="top" char=".">0.983</td>
</tr>
<tr>
<td align="left" valign="top">2019&#x2014;2020</td>
<td align="char" valign="top" char=".">0.968</td>
<td align="char" valign="top" char=".">0.855</td>
<td align="char" valign="top" char=".">0.968</td>
<td align="char" valign="top" char=".">1.000</td>
<td align="char" valign="top" char=".">0.827</td>
</tr>
<tr>
<td align="left" valign="top">2020&#x2014;2021</td>
<td align="char" valign="top" char=".">0.984</td>
<td align="char" valign="top" char=".">1.043</td>
<td align="char" valign="top" char=".">1.001</td>
<td align="char" valign="top" char=".">0.982</td>
<td align="char" valign="top" char=".">1.026</td>
</tr>
<tr>
<td align="left" valign="top">2021&#x2014;2022</td>
<td align="char" valign="top" char=".">0.976</td>
<td align="char" valign="top" char=".">0.971</td>
<td align="char" valign="top" char=".">0.991</td>
<td align="char" valign="top" char=".">0.985</td>
<td align="char" valign="top" char=".">0.948</td>
</tr>
<tr>
<td align="left" valign="top">2022&#x2014;2023</td>
<td align="char" valign="top" char=".">1.068</td>
<td align="char" valign="top" char=".">1.082</td>
<td align="char" valign="top" char=".">1.040</td>
<td align="char" valign="top" char=".">1.027</td>
<td align="char" valign="top" char=".">1.156</td>
</tr>
<tr>
<td align="left" valign="top">Mean</td>
<td align="char" valign="top" char=".">1.000</td>
<td align="char" valign="top" char=".">0.984</td>
<td align="char" valign="top" char=".">1.001</td>
<td align="char" valign="top" char=".">0.999</td>
<td align="char" valign="top" char=".">0.984</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>From the perspective of time evolution, the average total factor productivity of national medical and health resources from 2014 to 2023 is 0.984, that is, the average annual decline in the efficiency of national medical and health resources is 1.6%. However, this overall slight decline is not evenly distributed over time, but is mainly driven by sharp fluctuations in a particular year, as shown in <xref ref-type="fig" rid="fig4">Figure 4</xref>. TFP shows the characteristics of &#x201C;stable first, then falling, and then rising rapidly.&#x201D; Its fluctuation can be attributed to two key periods: one is the &#x201C;efficiency trough&#x201D; (TFP&#x202F;=&#x202F;0.827) caused by the impact of COVID-19 from 2019 to 2020, and the other is the &#x201C;strong rebound &#x201C;(TFP&#x202F;=&#x202F;1.156) accompanied by service recovery and technology application from 2022 to 2023. If the abnormal value of 2019&#x2013;2020 is excluded, the mean value of TFP in the remaining period is 1.008, indicating that it has the ability to be basically stable and slightly improved under normal conditions. Further decomposition shows that the average annual increase of pure technical efficiency is 0.1%, and the average annual decrease of scale efficiency is 0.1%, and the fluctuation is relatively flat. The average annual decline of 1.6% in technological progress has become the main reason for the decline in total factor productivity, that is, the lag of medical and health technology and the slow renewal of equipment have seriously hindered the improvement of total factor productivity. It can be seen that making up for the lag of technological progress is the key focus to improve the total factor productivity of national healthcare resources.</p>
<fig position="float" id="fig4">
<label>Figure 4</label>
<caption>
<p>Annual trends in total factor productivity and its decomposition of healthcare resources in China (2014&#x2013;2023).</p>
</caption>
<graphic xlink:href="fpubh-13-1729223-g004.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">Line graph depicting trends from 2014 to 2023 of five variables: Technical Efficiency, Technological Progress, Pure Technical Efficiency, Scale Efficiency, and Total Factor Productivity. The lines show fluctuations, with noticeable dips around 2019-2020, followed by significant increases towards 2023. Total Factor Productivity shows the most pronounced rise at the end.</alt-text>
</graphic>
</fig>
<p>Specifically, from 2014 to 2019, the total factor productivity basically fluctuated around 1, and the decline was relatively limited. The main constraints came from the continuous weakness of the technological progress index, while the overall technical efficiency and scale efficiency remained relatively stable, indicating that the management level of medical resource allocation was relatively stable, but the pace of technological innovation and renewal was relatively lagging behind. From 2019 to 2020, TFP fell to the lowest value of 0.827 in the whole period, showing a sharp decline. The decomposition results show that the decline is mainly caused by the significant decline in the technical progress index (0.855) and technical efficiency (0.968), while the scale efficiency remain basically stable, indicating that the efficiency loss in this stage is mainly due to the exogenous impact of the COVID-19 epidemic on the supply and application of conventional medical services, rather than the structural imbalance of resource allocation. In the post-epidemic period, TFP showed obvious recovery growth. In 2020&#x2013;2021, TFP rebounded to 1.026, and in 2022&#x2013;2023, it further jumped to 1.156, and technical efficiency, technological progress and scale efficiency improved simultaneously, reflecting that China&#x2019;s medical system showed strong system resilience and adjustment ability under the joint action of factors such as centralized demand release and accelerated application of technology.</p>
<p>Further decomposition found that technical efficiency remained negative in most intervals except 2014&#x2013;2017 and 2022&#x2013;2023, yet demonstrated overall stability. However, pure technical efficiency and scale efficiency exhibited divergent trends during the same period: pure technical efficiency increased by 0.9% in 2014&#x2013;2015 while scale efficiency decreased by 0.6%; in 2016&#x2013;2017, scale efficiency increased by 0.2% as pure technical efficiency fell by 0.2%; both pure technical efficiency and scale efficiency showed positive growth in 2015&#x2013;2016 and 2022&#x2013;2023. Overall, pure technical efficiency generally trended upward but exhibited relative volatility. Annual changes from 2014 to 2023 were 0.9, 1.3, &#x2212;0.2%, 0.3, &#x2212;1%, &#x2212;3.2, 0.1, &#x2212;0.9%, and 4%, respectively, demonstrating pronounced fluctuations. While scale efficiency, though mostly negative, exhibited milder fluctuations of &#x2212;0.6, 0.7, 0.2, &#x2212;0.8%, &#x2212;0.1, 0.0, &#x2212;1.8%, &#x2212;1.5, and 2.7%, indicating relative stability. Meanwhile, technological progress experienced declines during 2014&#x2013;2020 and 2021&#x2013;2022, with decreases of 3.6, 1.7, 14.5, and 2.9% during 2014&#x2013;2015, 2017&#x2013;2018, 2019&#x2013;2020, and 2021&#x2013;2022, respectively. It did not show positive growth until 2020&#x2013;2021 and 2022&#x2013;2023, increasing by 4.3 and 8.2%, respectively.</p>
</sec>
<sec id="sec14">
<label>3.3.2</label>
<title>Interprovincial disparities in total factor productivity of healthcare resources</title>
<p>From the perspective of interprovincial total factor productivity, an overall decline was observed across China&#x2019;s 31 provinces. Only four provinces&#x2014;Beijing, Heilongjiang, Shaanxi, and Ningxia&#x2014;achieved marginal TFP improvements, while the remaining 27 provinces experienced deterioration. Tibet saw the sharpest efficiency drop, followed sequentially by Hebei, Jiangxi, Anhui, Hunan, and Shanghai. Regional analysis revealed the severity of TFP decline followed the order: central &#x003E; eastern &#x003E; western regions. Decomposition analysis at the provincial level showed that 11 provinces (Hebei, Hainan, Anhui, Jiangxi, Henan, Hunan, Jilin, Guizhou, Yunnan, Tibet, Qinghai) exhibited declines in technical efficiency, whereas the other 20 maintained technical efficiency values &#x2265;1. Among these 31 provinces, only Jiangsu and Fujian demonstrated improved technical efficiency despite decreased pure technical efficiency. Conversely, among the 11 provinces with declining overall technical efficiency, Hainan, Henan, Tibet, and Qinghai all experienced increases in pure technical efficiency. The remaining provinces displayed consistent directional movements between technical and pure technical efficiency. Furthermore, the technical progress values remained below 1 across all provinces, reaffirming its critical role in driving TFP growth (<xref ref-type="table" rid="tab6">Table 6</xref>).</p>
<table-wrap position="float" id="tab6">
<label>Table 6</label>
<caption>
<p>Interprovincial total factor productivity of medical and healthcare resources.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top">Region</th>
<th align="center" valign="top">Technical efficiency</th>
<th align="center" valign="top">Technological progress</th>
<th align="center" valign="top">Pure technical efficiency</th>
<th align="center" valign="top">Scale efficiency</th>
<th align="center" valign="top">Total factor productivity</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top">Beijing</td>
<td align="char" valign="top" char=".">1.010</td>
<td align="char" valign="top" char=".">0.993</td>
<td align="char" valign="top" char=".">1.009</td>
<td align="char" valign="top" char=".">1.001</td>
<td align="char" valign="top" char=".">1.004</td>
</tr>
<tr>
<td align="left" valign="top">Tianjin</td>
<td align="char" valign="top" char=".">1.001</td>
<td align="char" valign="top" char=".">0.990</td>
<td align="char" valign="top" char=".">1.005</td>
<td align="char" valign="top" char=".">0.995</td>
<td align="char" valign="top" char=".">0.991</td>
</tr>
<tr>
<td align="left" valign="top">Hebei</td>
<td align="char" valign="top" char=".">0.980</td>
<td align="char" valign="top" char=".">0.981</td>
<td align="char" valign="top" char=".">0.979</td>
<td align="char" valign="top" char=".">1.002</td>
<td align="char" valign="top" char=".">0.962</td>
</tr>
<tr>
<td align="left" valign="top">Shanghai</td>
<td align="char" valign="top" char=".">1.000</td>
<td align="char" valign="top" char=".">0.974</td>
<td align="char" valign="top" char=".">1.000</td>
<td align="char" valign="top" char=".">1.000</td>
<td align="char" valign="top" char=".">0.974</td>
</tr>
<tr>
<td align="left" valign="top">Jiangsu</td>
<td align="char" valign="top" char=".">1.000</td>
<td align="char" valign="top" char=".">0.986</td>
<td align="char" valign="top" char=".">0.998</td>
<td align="char" valign="top" char=".">1.001</td>
<td align="char" valign="top" char=".">0.986</td>
</tr>
<tr>
<td align="left" valign="top">Zhejiang</td>
<td align="char" valign="top" char=".">1.000</td>
<td align="char" valign="top" char=".">0.992</td>
<td align="char" valign="top" char=".">1.000</td>
<td align="char" valign="top" char=".">1.000</td>
<td align="char" valign="top" char=".">0.992</td>
</tr>
<tr>
<td align="left" valign="top">Fujian</td>
<td align="char" valign="top" char=".">1.001</td>
<td align="char" valign="top" char=".">0.983</td>
<td align="char" valign="top" char=".">0.999</td>
<td align="char" valign="top" char=".">1.001</td>
<td align="char" valign="top" char=".">0.983</td>
</tr>
<tr>
<td align="left" valign="top">Shandong</td>
<td align="char" valign="top" char=".">1.010</td>
<td align="char" valign="top" char=".">0.985</td>
<td align="char" valign="top" char=".">1.000</td>
<td align="char" valign="top" char=".">1.010</td>
<td align="char" valign="top" char=".">0.995</td>
</tr>
<tr>
<td align="left" valign="top">Guangdong</td>
<td align="char" valign="top" char=".">1.000</td>
<td align="char" valign="top" char=".">0.984</td>
<td align="char" valign="top" char=".">1.000</td>
<td align="char" valign="top" char=".">1.000</td>
<td align="char" valign="top" char=".">0.984</td>
</tr>
<tr>
<td align="left" valign="top">Hainan</td>
<td align="char" valign="top" char=".">0.989</td>
<td align="char" valign="top" char=".">0.986</td>
<td align="char" valign="top" char=".">1.004</td>
<td align="char" valign="top" char=".">0.986</td>
<td align="char" valign="top" char=".">0.975</td>
</tr>
<tr>
<td align="left" valign="top">Liaoning</td>
<td align="char" valign="top" char=".">1.000</td>
<td align="char" valign="top" char=".">0.985</td>
<td align="char" valign="top" char=".">1.000</td>
<td align="char" valign="top" char=".">1.000</td>
<td align="char" valign="top" char=".">0.985</td>
</tr>
<tr>
<td align="left" valign="top">Eastern region</td>
<td align="char" valign="top" char=".">0.999</td>
<td align="char" valign="top" char=".">0.985</td>
<td align="char" valign="top" char=".">0.999</td>
<td align="char" valign="top" char=".">1.000</td>
<td align="char" valign="top" char=".">0.985</td>
</tr>
<tr>
<td align="left" valign="top">Shanxi</td>
<td align="char" valign="top" char=".">1.011</td>
<td align="char" valign="top" char=".">0.985</td>
<td align="char" valign="top" char=".">1.011</td>
<td align="char" valign="top" char=".">1.001</td>
<td align="char" valign="top" char=".">0.996</td>
</tr>
<tr>
<td align="left" valign="top">Anhui</td>
<td align="char" valign="top" char=".">0.992</td>
<td align="char" valign="top" char=".">0.980</td>
<td align="char" valign="top" char=".">0.992</td>
<td align="char" valign="top" char=".">1.000</td>
<td align="char" valign="top" char=".">0.972</td>
</tr>
<tr>
<td align="left" valign="top">Jiangxi</td>
<td align="char" valign="top" char=".">0.985</td>
<td align="char" valign="top" char=".">0.980</td>
<td align="char" valign="top" char=".">0.985</td>
<td align="char" valign="top" char=".">1.000</td>
<td align="char" valign="top" char=".">0.965</td>
</tr>
<tr>
<td align="left" valign="top">Henan</td>
<td align="char" valign="top" char=".">0.997</td>
<td align="char" valign="top" char=".">0.981</td>
<td align="char" valign="top" char=".">1.000</td>
<td align="char" valign="top" char=".">0.997</td>
<td align="char" valign="top" char=".">0.978</td>
</tr>
<tr>
<td align="left" valign="top">Hubei</td>
<td align="char" valign="top" char=".">1.002</td>
<td align="char" valign="top" char=".">0.981</td>
<td align="char" valign="top" char=".">1.000</td>
<td align="char" valign="top" char=".">1.002</td>
<td align="char" valign="top" char=".">0.983</td>
</tr>
<tr>
<td align="left" valign="top">Hunan</td>
<td align="char" valign="top" char=".">0.990</td>
<td align="char" valign="top" char=".">0.984</td>
<td align="char" valign="top" char=".">0.991</td>
<td align="char" valign="top" char=".">0.999</td>
<td align="char" valign="top" char=".">0.974</td>
</tr>
<tr>
<td align="left" valign="top">Jilin</td>
<td align="char" valign="top" char=".">0.999</td>
<td align="char" valign="top" char=".">0.983</td>
<td align="char" valign="top" char=".">0.999</td>
<td align="char" valign="top" char=".">0.999</td>
<td align="char" valign="top" char=".">0.982</td>
</tr>
<tr>
<td align="left" valign="top">Heilongjiang</td>
<td align="char" valign="top" char=".">1.025</td>
<td align="char" valign="top" char=".">0.982</td>
<td align="char" valign="top" char=".">1.025</td>
<td align="char" valign="top" char=".">1.000</td>
<td align="char" valign="top" char=".">1.006</td>
</tr>
<tr>
<td align="left" valign="top">Central region</td>
<td align="char" valign="top" char=".">1.000</td>
<td align="char" valign="top" char=".">0.982</td>
<td align="char" valign="top" char=".">1.000</td>
<td align="char" valign="top" char=".">1.000</td>
<td align="char" valign="top" char=".">0.982</td>
</tr>
<tr>
<td align="left" valign="top">Inner Mongolia</td>
<td align="char" valign="top" char=".">1.010</td>
<td align="char" valign="top" char=".">0.984</td>
<td align="char" valign="top" char=".">1.008</td>
<td align="char" valign="top" char=".">1.002</td>
<td align="char" valign="top" char=".">0.993</td>
</tr>
<tr>
<td align="left" valign="top">Guangxi</td>
<td align="char" valign="top" char=".">1.000</td>
<td align="char" valign="top" char=".">0.981</td>
<td align="char" valign="top" char=".">1.000</td>
<td align="char" valign="top" char=".">1.000</td>
<td align="char" valign="top" char=".">0.981</td>
</tr>
<tr>
<td align="left" valign="top">Chongqing</td>
<td align="char" valign="top" char=".">1.000</td>
<td align="char" valign="top" char=".">0.985</td>
<td align="char" valign="top" char=".">1.000</td>
<td align="char" valign="top" char=".">1.000</td>
<td align="char" valign="top" char=".">0.985</td>
</tr>
<tr>
<td align="left" valign="top">Sichuan</td>
<td align="char" valign="top" char=".">1.005</td>
<td align="char" valign="top" char=".">0.983</td>
<td align="char" valign="top" char=".">1.000</td>
<td align="char" valign="top" char=".">1.005</td>
<td align="char" valign="top" char=".">0.988</td>
</tr>
<tr>
<td align="left" valign="top">Guizhou</td>
<td align="char" valign="top" char=".">0.995</td>
<td align="char" valign="top" char=".">0.985</td>
<td align="char" valign="top" char=".">0.995</td>
<td align="char" valign="top" char=".">0.999</td>
<td align="char" valign="top" char=".">0.979</td>
</tr>
<tr>
<td align="left" valign="top">Yunnan</td>
<td align="char" valign="top" char=".">0.994</td>
<td align="char" valign="top" char=".">0.983</td>
<td align="char" valign="top" char=".">0.995</td>
<td align="char" valign="top" char=".">0.999</td>
<td align="char" valign="top" char=".">0.977</td>
</tr>
<tr>
<td align="left" valign="top">Tibet</td>
<td align="char" valign="top" char=".">0.963</td>
<td align="char" valign="top" char=".">0.980</td>
<td align="char" valign="top" char=".">1.000</td>
<td align="char" valign="top" char=".">0.963</td>
<td align="char" valign="top" char=".">0.944</td>
</tr>
<tr>
<td align="left" valign="top">Shaanxi</td>
<td align="char" valign="top" char=".">1.018</td>
<td align="char" valign="top" char=".">0.985</td>
<td align="char" valign="top" char=".">1.017</td>
<td align="char" valign="top" char=".">1.001</td>
<td align="char" valign="top" char=".">1.003</td>
</tr>
<tr>
<td align="left" valign="top">Gansu</td>
<td align="char" valign="top" char=".">1.002</td>
<td align="char" valign="top" char=".">0.984</td>
<td align="char" valign="top" char=".">1.004</td>
<td align="char" valign="top" char=".">0.999</td>
<td align="char" valign="top" char=".">0.986</td>
</tr>
<tr>
<td align="left" valign="top">Qinghai</td>
<td align="char" valign="top" char=".">0.999</td>
<td align="char" valign="top" char=".">0.989</td>
<td align="char" valign="top" char=".">1.008</td>
<td align="char" valign="top" char=".">0.991</td>
<td align="char" valign="top" char=".">0.988</td>
</tr>
<tr>
<td align="left" valign="top">Ningxia</td>
<td align="char" valign="top" char=".">1.017</td>
<td align="char" valign="top" char=".">0.988</td>
<td align="char" valign="top" char=".">1.010</td>
<td align="char" valign="top" char=".">1.007</td>
<td align="char" valign="top" char=".">1.005</td>
</tr>
<tr>
<td align="left" valign="top">Xinjiang</td>
<td align="char" valign="top" char=".">1.010</td>
<td align="char" valign="top" char=".">0.987</td>
<td align="char" valign="top" char=".">1.008</td>
<td align="char" valign="top" char=".">1.002</td>
<td align="char" valign="top" char=".">0.997</td>
</tr>
<tr>
<td align="left" valign="top">Western region</td>
<td align="char" valign="top" char=".">1.001</td>
<td align="char" valign="top" char=".">0.985</td>
<td align="char" valign="top" char=".">1.004</td>
<td align="char" valign="top" char=".">0.997</td>
<td align="char" valign="top" char=".">0.986</td>
</tr>
<tr>
<td align="left" valign="top">Mean</td>
<td align="char" valign="top" char=".">1.000</td>
<td align="char" valign="top" char=".">0.984</td>
<td align="char" valign="top" char=".">1.001</td>
<td align="char" valign="top" char=".">0.999</td>
<td align="char" valign="top" char=".">0.984</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>To further examine the spatiotemporal evolution of interprovincial healthcare resource allocation efficiency in China from 2014 to 2023, we analyzed the total factor productivity data for each province across three time periods: 2014&#x2013;2015, 2018&#x2013;2019, and 2022&#x2013;2023 (<xref ref-type="fig" rid="fig5">Figure 5</xref>). Temporally, the 2014&#x2013;2015 period was characterized by generally low TFP levels nationwide. Only five provinces&#x2014;Beijing, Shandong, Guangdong, Tibet, and Gansu&#x2014;achieved TFP growth, while Tianjin, Zhejiang, Hainan, Chongqing, Shaanxi, and Xinjiang maintained relatively high TFP values despite remaining below 1. Conversely, remote provinces such as Hunan, Inner Mongolia, Guizhou, and Qinghai experienced pronounced efficiency declines. By 2018&#x2013;2019, several provinces previously ranking in the middle-to-lower tier&#x2014;notably Tianjin, Liaoning, Inner Mongolia, Sichuan, Qinghai, Ningxia, and Xinjiang&#x2014;had transformed into rapidly improving regions. Provinces like Liaoning, Hunan, and Guizhou also showed marked progress. However, Jilin, Tibet, and Gansu experienced accelerated declines in TFP, emerging as new laggards. The 2022&#x2013;2023 period witnessed positive TFP growth across 30 provinces except Jiangxi, with Shandong, Gansu, and Xinjiang demonstrating particularly remarkable gains. Spatially, western provinces achieved comprehensive high growth benefiting from resource upgrades and policy support. Eastern provinces advanced steadily through technological innovation and mature healthcare systems. The central region, however, showed pronounced internal disparities: provinces like Henan and Hubei joined the growth tier, while Jiangxi recorded negative growth.</p>
<fig position="float" id="fig5">
<label>Figure 5</label>
<caption>
<p>Interprovincial total factor productivity across three time periods.</p>
</caption>
<graphic xlink:href="fpubh-13-1729223-g005.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">A line chart compares three time periods: 2014-2015, 2018-2019, and 2022-2023 across various Chinese provinces. The x-axis lists provinces, while the y-axis indicates values from 0.80 to 1.60. The brown line for 2022-2023 shows significant variability, peaking notably, while the orange and green lines for the earlier periods remain relatively stable around 1.00.</alt-text>
</graphic>
</fig>
</sec>
</sec>
<sec id="sec15">
<label>3.4</label>
<title>Robustness tests</title>
<p>To assess the robustness and reliability of the findings, this section performs robustness checks along two dimensions: model specification and variable selection. Given that Data Envelopment Analysis is sensitive to its underlying assumptions and input&#x2013;output variable sets, we re-estimate efficiency scores by altering key model configurations. This approach tests whether the core conclusions remain unchanged under alternative methodological setups.</p>
<p>First, in the context of static efficiency analysis, we recognize that medical service output is multidimensional and that the original indicator, &#x201C;number of discharged patients&#x201D;primarily captures service volume. To better reflect the technical complexity and resource intensity of care, we substitute it with &#x201C;Inpatient Surgical Procedures&#x201D; sourced from the National Bureau of Statistics. Efficiency scores are then re-estimated using the DEA-BCC model and compared against the baseline. The Spearman rank correlation test indicates a statistically significant positive correlation between the two sets of efficiency rankings (<italic>&#x03C1;</italic>&#x202F;=&#x202F;0.66, <italic>p</italic>&#x202F;&#x003C;&#x202F;0.001), demonstrating that the static efficiency evaluation maintains moderate stability and robustness under this alternative output measure.</p>
<p>Second, for the dynamic efficiency analysis, we examine the potential influence of returns-to-scale assumptions on total factor productivity measurement. Specifically, the Malmquist index is recalculated using the DEA-CCR model and compared with the results from the DEA-BCC model. A significant positive correlation is found between the indices derived from the two models (&#x03C1;&#x202F;=&#x202F;0.56, <italic>p</italic>&#x202F;&#x003C;&#x202F;0.001). Although there are some differences in the specific values of the productivity index due to different assumptions of returns to scale, the overall trend is consistent, indicating that the conclusion of this paper on the dynamic evolution of medical resource allocation efficiency has good robustness.</p>
</sec>
</sec>
<sec id="sec16">
<label>4</label>
<title>Discussion and policy implications</title>
<sec id="sec17">
<label>4.1</label>
<title>Suboptimal efficiency amid disproportionate input&#x2013;output growth</title>
<p>Between 2014 and 2023, China&#x2019;s healthcare system underwent substantial expansion in both infrastructure and human resources, evidenced by cumulative growth of 64.54% in health technicians, 54.12% in hospital beds, and 48.32% in healthcare institutions. However, the growth rates for outpatient visits and hospital discharges were only 25.64 and 47.93%, respectively&#x2014;significantly lower than the pace of resource investment. The asymmetry between input and output growth rates indicates a structural imbalance in the allocation of medical resources. Further analysis of slack variables in DEA-inefficient provinces reveals that this imbalance is manifested as the coexistence of input excess and output shortfall. This shows that the efficiency of resource utilization has not been improved simultaneously with the input, which is reflected in the obvious resource mismatch at the provincial level. In 2023, the average comprehensive technical efficiency across 31 provinces stood at 0.869, with average pure technical efficiency and scale efficiency at 0.913 and 0.954, respectively. Over half of the regions failed to achieve DEA effectiveness, these findings collectively indicate suboptimal resource utilization efficiency nationwide, highlighting substantial potential for optimization.</p>
<p>Therefore, the government should comprehensively account for local healthcare demands and demographic distribution patterns, enhance regional health planning, and optimize existing medical resources. It is essential to avoid haphazard expansion of tertiary hospitals to achieve precise alignment between resource allocation and public health needs. Concurrently, policy should encourage patients with common and chronic conditions to utilize primary care facilities, thereby fostering complementary development and synergistic use of healthcare resources. Furthermore, establishing multidimensional performance metrics centered on service quality, patient satisfaction, and cost containment is essential to transition from a volume-oriented to an efficiency-oriented healthcare delivery (<xref ref-type="bibr" rid="ref16">16</xref>). Finally, according to local conditions, redundant human resources should be transformed into talents that meet the needs of different levels of institutions through standardized training, specialist training and other ways.</p>
</sec>
<sec id="sec18">
<label>4.2</label>
<title>Marked interregional variations: eastern high versus central-western low efficiency</title>
<p>From a regional perspective, the eastern region demonstrates the highest efficiency in healthcare resource allocation, with its comprehensive technical efficiency significantly exceeding the national average. In contrast, the central region exhibits the lowest efficiency, while the western region slightly outperforms the central region yet remains below the national benchmark. Three primary factors explain these disparities. First, the eastern region benefits from robust economic foundations within the Yangtze River Delta, Pearl River Delta, and Bohai Rim economic circles, which consistently support technological upgrades and talent development. Since the 18th National Congress of the Communist Party of China, the Party Central Committee has introduced a series of major regional strategies, including Beijing-Tianjin-Hebei coordinated development and Yangtze River Delta integration have enabled the eastern region to pioneer tightly-knit medical alliances and telemedicine networks, thereby enhancing technical efficiency and resource coordination. Second, although the central region rise strategy emphasizes equalization of public services, specific policies have largely focused on infrastructure construction, with insufficient attention to talent cultivation and technological innovation. Third, provinces including Xinjiang, Tibet, and Guizhou have utilized national counterpart assistance mechanisms to establish preliminary regional collaboration and telemedicine platforms, enhancing healthcare service capabilities in select remote areas. Additionally, regional strategies like the Chengdu-Chongqing Economic Circle have brought new opportunities to the western regions, partially alleviating healthcare workforce shortages. This dual approach of &#x201C;external support and endogenous capacity building&#x201D; has progressively optimized healthcare resource allocation efficiency in western China.</p>
<p>The Guiding Opinions call for optimized spatial distribution of healthcare resources to bridge urban&#x2013;rural and interregional disparities, and narrow the gap in healthcare resource distribution between central-western and eastern regions. Therefore, Implementation should prioritize telemedicine infrastructure, medical consortium development, and targeted technical assistance to foster balanced regional development. According to the &#x201C;Opinions of the Central Committee of the Communist Party of China and the State Council on Promoting High-Quality Development in the central region in the New Era&#x201D; synergies should be strengthened with major regional strategies such as Beijing-Tianjin-Hebei coordination and Yangtze River Economic Belt integration. By absorbing the relocation of high-quality medical resources from the Beijing-Tianjin-Hebei region and collaborating with the Yangtze River Economic Belt to establish a cross-regional medical technology coordination system, the efficiency gap in regional healthcare resource allocation can be narrowed. Concurrently, refined incentive policies for healthcare professionals, promoting their migration to underdeveloped central and western regions through enhanced compensation and welfare measures (<xref ref-type="bibr" rid="ref17">17</xref>).</p>
</sec>
<sec id="sec19">
<label>4.3</label>
<title>Technological progress as the primary constraining factor</title>
<p>Between 2014 and 2023, China experienced an average annual decline of 1.6% in total factor productivity, with a mean value of 0.984. Technological efficiency remained stable during this period, while technological regression&#x2014;also decreasing at 1.6% per year&#x2014;emerged as the principal determinant of TFP deterioration. One contributing factor is the significant lag in the iterative upgrading of medical equipment, particularly within primary healthcare institutions at or below the county level, the allocation rate of high-end medical equipment remains low, and advanced technological innovations struggle to permeate effectively to these grassroots levels (<xref ref-type="bibr" rid="ref18">18</xref>). Secondly, a structural shortage exists in the supply of intermediate and senior healthcare technical personnel. In particular, the central and western regions face an insufficient total number of such personnel, imperfect talent echelon development, and a lag in the professional competency of staff to operate new technologies and equipment. This makes it difficult to translate hardware investments into tangible improvements in service efficiency (<xref ref-type="bibr" rid="ref19">19</xref>).</p>
<p>From a spatial evolution perspective, the eastern and western regions demonstrated gradual TFP improvement, whereas central China exhibited lower levels and slower growth. Moreover, all provinces recorded technical progress values below 1, reflecting a dual challenge of systemic inefficiency and significant regional fragmentation in healthcare technology advancement. Although the national implementation plan advocates for &#x201C;expanding high-quality medical resources and achieving balanced regional distribution&#x201D; (<xref ref-type="bibr" rid="ref2">2</xref>), policy execution displays marked regional disparities. The eastern region leverages economic advantages to attract skilled professionals and introduce advanced equipment, creating a virtuous cycle; the western region has established telemedicine platforms through policy support, while in the central region, high-quality technical resources are concentrated in provincial capitals. This centralization, coupled with slow equipment renewal and staffing shortages in county-level institutions, has created a hierarchical fragmentation in technology diffusion that fundamentally constrains TFP growth.</p>
<p>Consequently, the Healthy China 2030 Blueprint should be operationalized by institutionalizing healthcare technology R&#x0026;D investment as a performance metric in local government health assessments, while curricular expansion in medical technology innovation should be implemented at central China&#x2019;s universities to cultivate an indigenous technical talent pool. Furthermore, a structured collaboration framework for technology translation should be established between eastern and central regions, supported by creating specialized intermediary hubs for medical technology transfer and regional healthcare centers. In alignment with the Implementation Plan&#x2019;s primary-care competency standards, sustainable training mechanisms for grassroots medical personnel must be established. Telemedicine operations and smart device utilization should be incorporated into competency evaluations, ensuring technologies become both accessible and applicable in routine practice.</p>
</sec>
<sec id="sec20">
<label>4.4</label>
<title>Characteristics and optimization enlightenment of efficiency frontier provinces</title>
<p>The replicable common characteristics observed in the eight DEA-efficient provinces identified in this study offer a clear optimization pathway for inefficient provinces. First, they exhibit a coordinated resource input structure that effectively avoids single-factor redundancy. These provinces maintain a more balanced ratio among health technicians, beds, and institutions (<xref ref-type="bibr" rid="ref20">20</xref>). In contrast, inefficient provinces frequently exhibit problems of over-investment in a single resource, exemplified by the excessive number of hospitals in Hebei and the surplus of beds in Heilongjiang. This observed redundancy underscores that an optimal allocation structure is more critical than merely increasing investment. Second, technology and management innovation drive intensive, quality-oriented development. Most of these efficient provinces are pioneers in healthcare reform. Regions such as the Yangtze River Delta and the Pearl River Delta lead in promoting smart hospitals and telemedicine to enhance service efficiency (<xref ref-type="bibr" rid="ref21">21</xref>). Meanwhile, Guangxi and Chongqing have facilitated resource allocation to grassroots levels through the establishment of tight-knit medical alliances (<xref ref-type="bibr" rid="ref22">22</xref>). Inefficient provinces, conversely, commonly lag in technology adoption and management practices. Third, they possess sound regional coordination mechanisms. Leveraging national-level strategies, they have constructed cross-regional cooperation networks, breaking down the localization of resources through a dual approach of &#x201C;external linkage and internal integration&#x201D; (<xref ref-type="bibr" rid="ref23">23</xref>). The Beijing-Tianjin-Hebei coordinated development initiative and the Yangtze River Delta integration strategy serve as typical examples.</p>
<p>To enhance the resource allocation efficiency of inefficient provinces, it is imperative to move beyond the mindset of merely increasing investment. In accordance with &#x201C;Guidance on Optimizing the Layout and Construction of Primary Healthcare Institutions&#x201D; (<xref ref-type="bibr" rid="ref24">24</xref>), a dynamic resource monitoring and adjustment mechanism should be established. This involves regularly evaluating and rebalancing key factors such as beds and institutions, and implementing a two-way flow mechanism between tertiary and primary healthcare&#x2014;combining downward rotations with dispatched training. This approach not only revitalizes redundant resources but also strengthens primary-level service capabilities.</p>
<p>It is equally crucial to strengthen the dual drivers of technology and management. On one hand, it is essential to promote state-advocated digital service models, such as the &#x201C;telemedicine service network&#x201D; and the model of &#x201C;distributed inspection with centralized diagnosis.&#x201D; On the other hand, the requirements of the DRG/DIP payment reform must be fully implemented to promote the integration of digital tools with performance management and regulatory mechanisms.</p>
<p>Furthermore, based on &#x201C;the Opinions on Further Ensuring and Improving People&#x2019;s Livelihood and Striving to Resolve the People&#x2019;s Urgent Concerns and Expectations,&#x201D; provinces should integrate into national regional strategies. By leveraging tightly knit county-level medical consortia, they can compensate for shortages of high-quality resources through mechanisms for co-construction, resource sharing, and talent support.</p>
</sec>
<sec id="sec21">
<label>4.5</label>
<title>Limitations and future research directions</title>
<p>This study has several limitations that should be acknowledged. First, the output indicators selected in this study are primarily measures of service volume. While such indicators capture aspects of process and quantity, they do not encompass outcome-oriented measures related to health status or service quality. This may compromise the comprehensiveness of the efficiency assessment. Consequently, this limitation affects the interpretation of the DEA results. For instance, a high DEA efficiency value merely indicates that a region efficiently produces service volume given its inputs; it cannot be extrapolated to infer superior service quality or health improvement outcomes. Second, the data envelopment analysis model employed in this study does not incorporate external environmental factors as control variables. While this approach facilitates the measurement of resource transformation capability from a purely technical perspective, it also implies that the estimated efficiency scores may be substantially influenced by prevailing environmental characteristics. Consequently, this may limit the explanatory power of the findings regarding causal relationships. Third, DEA results are sensitive to indicator selection and may not reflect stochastic variations. Finally, although we provide an optimization path by combining efficiency decomposition and redundancy analysis, due to the limitation of macro data and research methods, we fail to conduct detailed cost&#x2013;benefit analysis, local adaptability assessment or priority ranking for each recommendation. Future research should incorporate quality-oriented indicators to complement existing measures of service volume. Furthermore, external environmental factors should be explicitly integrated into the analysis. This would provide a more robust explanation for regional efficiency disparities and strengthen the causal interpretation of the findings.</p>
</sec>
</sec>
</body>
<back>
<sec sec-type="data-availability" id="sec22">
<title>Data availability statement</title>
<p>The original contributions presented in the study are included in the article/<xref ref-type="supplementary-material" rid="SM1">Supplementary material</xref>, further inquiries can be directed to the corresponding author/s.</p>
</sec>
<sec sec-type="author-contributions" id="sec23">
<title>Author contributions</title>
<p>LW: Conceptualization, Data curation, Formal analysis, Methodology, Resources, Visualization, Writing &#x2013; original draft, Writing &#x2013; review &#x0026; editing. JY: Conceptualization, Formal analysis, Methodology, Writing &#x2013; original draft, Writing &#x2013; review &#x0026; editing. WS: Writing &#x2013; review &#x0026; editing, Data curation, Methodology, Supervision, Project administration, Validation, Funding acquisition, Software. YH: Writing &#x2013; review &#x0026; editing, Data curation, Methodology, Supervision, Project administration, Validation, Visualization, Software. SH: Conceptualization, Formal analysis, Funding acquisition, Methodology, Supervision, Writing &#x2013; review &#x0026; editing.</p>
</sec>
<sec sec-type="COI-statement" id="sec24">
<title>Conflict of interest</title>
<p>The author(s) declared that this work was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec sec-type="ai-statement" id="sec25">
<title>Generative AI statement</title>
<p>The author(s) declared that Generative AI was not used in the creation of this manuscript.</p>
<p>Any alternative text (alt text) provided alongside figures in this article has been generated by Frontiers with the support of artificial intelligence and reasonable efforts have been made to ensure accuracy, including review by the authors wherever possible. If you identify any issues, please contact us.</p>
</sec>
<sec sec-type="disclaimer" id="sec26">
<title>Publisher&#x2019;s note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
<sec sec-type="supplementary-material" id="sec27">
<title>Supplementary material</title>
<p>The Supplementary material for this article can be found online at: <ext-link xlink:href="https://www.frontiersin.org/articles/10.3389/fpubh.2025.1729223/full#supplementary-material" ext-link-type="uri">https://www.frontiersin.org/articles/10.3389/fpubh.2025.1729223/full#supplementary-material</ext-link></p>
<supplementary-material xlink:href="Data_Sheet_1.ZIP" id="SM1" mimetype="application/zip" xmlns:xlink="http://www.w3.org/1999/xlink"/>
</sec>
<ref-list>
<title>References</title>
<ref id="ref1"><label>1.</label><mixed-citation publication-type="journal"><person-group person-group-type="author"><name><surname>Zhang</surname><given-names>M</given-names></name> <name><surname>Sun</surname><given-names>ZM</given-names></name> <name><surname>Shi</surname><given-names>WH</given-names></name> <name><surname>Zhou</surname><given-names>J</given-names></name></person-group>. <article-title>Analysis of healthcare resource allocation efficiency and output insufficiency in Jiangsu Province from 2015 to 2022</article-title>. <source>Chinese Health Economics.</source> (<year>2024</year>) <volume>43</volume>:<fpage>41</fpage>&#x2013;<lpage>4</lpage>. <ext-link xlink:href="https://link.cnki.net/urlid/23.1042.F.20241126.1443.004" ext-link-type="uri">https://link.cnki.net/urlid/23.1042.F.20241126.1443.004</ext-link></mixed-citation></ref>
<ref id="ref2"><label>2.</label><mixed-citation publication-type="journal"><person-group person-group-type="author"><name><surname>Sun</surname><given-names>Y</given-names></name> <name><surname>Wu</surname><given-names>S</given-names></name> <name><surname>Cao</surname><given-names>ZH</given-names></name></person-group>. <article-title>Research on regional differences and spatiotemporal evolution of the equity of high-quality medical resource allocation in China</article-title>. <source>Chinese Hospitals</source>. (<year>2024</year>) <volume>28</volume>:<fpage>29</fpage>&#x2013;<lpage>35</lpage>. doi: <pub-id pub-id-type="doi">10.19660/j.issn.1671-0592.2024.12.06</pub-id></mixed-citation></ref>
<ref id="ref3"><label>3.</label><mixed-citation publication-type="journal"><person-group person-group-type="author"><name><surname>Liang</surname><given-names>BH</given-names></name> <name><surname>Zhai</surname><given-names>SG</given-names></name></person-group>. <article-title>Efficiency of healthcare resource allocation in ethnic regions: spatial disparities, dynamic evolution, and influencing factors</article-title>. <source>J Yunnan Minzu Univ</source>. (<year>2024</year>) <volume>41</volume>:<fpage>110</fpage>&#x2013;<lpage>22</lpage>. doi: <pub-id pub-id-type="doi">10.13727/j.cnki.53-1191/c.20241104.001</pub-id></mixed-citation></ref>
<ref id="ref4"><label>4.</label><mixed-citation publication-type="journal"><person-group person-group-type="author"><name><surname>Liao</surname><given-names>BW</given-names></name> <name><surname>Hu</surname><given-names>M</given-names></name> <name><surname>Chen</surname><given-names>W</given-names></name></person-group>. <article-title>Research on the current status of medical resource allocation based on spatial accessibility: a case study of a prefecture-level city in the yangtze river delta</article-title>. <source>Modern Preventive Medicine</source>. (<year>2025</year>) <volume>52</volume>:<fpage>3366</fpage>&#x2013;<lpage>72</lpage>. doi: <pub-id pub-id-type="doi">10.20043/j.cnki.MPM.202504404</pub-id></mixed-citation></ref>
<ref id="ref5"><label>5.</label><mixed-citation publication-type="journal"><person-group person-group-type="author"><name><surname>Huang</surname><given-names>N</given-names></name></person-group>. <article-title>Spatiotemporal characteristics and driving mechanisms of the coupling coordination between rural primary healthcare resource allocation and service utilization</article-title>. <source>J Zhejiang Univ</source>. (<year>2025</year>) <volume>55</volume>:<fpage>22</fpage>&#x2013;<lpage>40</lpage>. Available online at: <ext-link xlink:href="https://kns.cnki.net/kcms2/article/abstract?v=e_WjztTC4N34BXMTcbx0UB5ibj--d5Z-v9TYxVl678RB_b1KuuKsJr9jGZoz_6PSyTq9IIEh9snZeAhbHQNrQ-oPwkHlRq6tGzUgFoLmg54KTjFATcuJeacYRkkSTgfJ8dlSOo8cv6f72XDNFp-9sALzjdw-B62N5vRGHbyF-K1A-7_sTP8uTQ==&#x0026;uniplatform=NZKPT&#x0026;language=CHS" ext-link-type="uri">https://kns.cnki.net/kcms2/article/abstract?v=e_WjztTC4N34BXMTcbx0UB5ibj--d5Z-v9TYxVl678RB_b1KuuKsJr9jGZoz_6PSyTq9IIEh9snZeAhbHQNrQ-oPwkHlRq6tGzUgFoLmg54KTjFATcuJeacYRkkSTgfJ8dlSOo8cv6f72XDNFp-9sALzjdw-B62N5vRGHbyF-K1A-7_sTP8uTQ==&#x0026;uniplatform=NZKPT&#x0026;language=CHS</ext-link></mixed-citation></ref>
<ref id="ref6"><label>6.</label><mixed-citation publication-type="journal"><person-group person-group-type="author"><name><surname>Pang</surname><given-names>RZ</given-names></name> <name><surname>Li</surname><given-names>QN</given-names></name></person-group>. <article-title>"expensive medical treatment" and government expenditure in the context of healthy China: an analysis from the perspective of structural imbalance in resource allocation</article-title>. <source>J Xi'an Jiaotong University (Social Sciences)</source>. (<year>2024</year>) <volume>44</volume>:<fpage>104</fpage>&#x2013;<lpage>16</lpage>. doi: <pub-id pub-id-type="doi">10.15896/j.xjtuskxb.202402010</pub-id></mixed-citation></ref>
<ref id="ref7"><label>7.</label><mixed-citation publication-type="other"><person-group person-group-type="author"><name><surname>Lin</surname><given-names>MG</given-names></name> <name><surname>Lan</surname><given-names>WJ</given-names></name> <name><surname>Ni</surname><given-names>JW</given-names></name> <name><surname>Xiong</surname><given-names>LP</given-names></name></person-group> <article-title>Equity and efficiency of rural village-level healthcare resource allocation in China</article-title>. <source>Chinese Health Economics</source> (<year>2023</year>) <volume>42</volume>:<fpage>53</fpage>&#x2013;<lpage>57</lpage>. Available onlin at: <ext-link xlink:href="https://kns.cnki.net/kcms2/article/abstract?v=e_WjztTC4N1PcZ5psSH8Pw47xEcwZH54TgZmYpoMWEedWJKop1nxRtDhdoXqbP0eTLZAje3WqeRG8Be9sLfUDbShZBz_DHT4ej-us6LyDmsSx4X61XzCDT6DpytljGeQ2PGdgvXDOK-gP19CUoX77ru6G7CZoCsqecx4eVA3cotM09JKAVXEoA==&#x0026;uniplatform=NZKPT&#x0026;language=CHS" ext-link-type="uri">https://kns.cnki.net/kcms2/article/abstract?v=e_WjztTC4N1PcZ5psSH8Pw47xEcwZH54TgZmYpoMWEedWJKop1nxRtDhdoXqbP0eTLZAje3WqeRG8Be9sLfUDbShZBz_DHT4ej-us6LyDmsSx4X61XzCDT6DpytljGeQ2PGdgvXDOK-gP19CUoX77ru6G7CZoCsqecx4eVA3cotM09JKAVXEoA==&#x0026;uniplatform=NZKPT&#x0026;language=CHS</ext-link></mixed-citation></ref>
<ref id="ref8"><label>8.</label><mixed-citation publication-type="journal"><person-group person-group-type="author"><name><surname>Xia</surname><given-names>YF</given-names></name> <name><surname>Zhang</surname><given-names>HP</given-names></name> <name><surname>Duan</surname><given-names>XE</given-names></name> <name><surname>Zhu</surname><given-names>W</given-names></name></person-group>. <article-title>Equity of primary healthcare resource allocation in China in the past decade</article-title>. <source>Health Economics Research</source>. (<year>2023</year>) <volume>40</volume>:<fpage>1</fpage>&#x2013;<lpage>6</lpage>. doi: <pub-id pub-id-type="doi">10.14055/j.cnki.33-1056/f.2023.06.005</pub-id></mixed-citation></ref>
<ref id="ref9"><label>9.</label><mixed-citation publication-type="journal"><person-group person-group-type="author"><name><surname>Wu</surname><given-names>F</given-names></name></person-group>. <article-title>Advancing healthy China: construction of a symbiotic capacity framework for rural medical resource allocation</article-title>. <source>Jiangsu Social Sciences</source>. (<year>2023</year>) <volume>6</volume>:<fpage>102</fpage>&#x2013;<lpage>11</lpage>. doi: <pub-id pub-id-type="doi">10.13858/j.cnki.cn32-1312/c.20231127.003</pub-id></mixed-citation></ref>
<ref id="ref10"><label>10.</label><mixed-citation publication-type="journal"><person-group person-group-type="author"><name><surname>Yu</surname><given-names>XH</given-names></name> <name><surname>Liu</surname><given-names>MH</given-names></name> <name><surname>Gao</surname><given-names>S</given-names></name> <name><surname>Xu</surname><given-names>JY</given-names></name> <name><surname>Li</surname><given-names>M</given-names></name> <name><surname>Shang</surname><given-names>PP</given-names></name></person-group>. <article-title>Evaluation of operational efficiency and influencing factors of traditional Chinese medicine hospitals in Jilin Province</article-title>. <source>Med Soc</source>. (<year>2023</year>) <volume>36</volume>:<fpage>33</fpage>&#x2013;<lpage>9</lpage>. doi: <pub-id pub-id-type="doi">10.13723/j.yxysh.2023.12.006</pub-id></mixed-citation></ref>
<ref id="ref11"><label>11.</label><mixed-citation publication-type="journal"><person-group person-group-type="author"><name><surname>Zeng</surname><given-names>L</given-names></name> <name><surname>Wu</surname><given-names>R</given-names></name> <name><surname>Shi</surname><given-names>H</given-names></name></person-group>. <article-title>Spatiotemporal evolution and influence mechanism of primary healthcare service efficiency under "dual-track logic": an empirical analysis based on provincial panel data from 2010 to 2020</article-title>. <source>J Shanghai Administration Institute</source>. (<year>2024</year>) <volume>25</volume>:<fpage>94</fpage>&#x2013;<lpage>111</lpage>. Available online at: <ext-link xlink:href="https://kns.cnki.net/kcms2/article/abstract?v=e_WjztTC4N3ZjL_a5zhK2HHhfTwy6BaJHYx4PgOaBizLyhcsp8S7eI6BTvyIbxOvLKX2Ro4W0-TjH2HSTri8Uy7DgjAE8yHe4ss-AC_TRlwcXhqBoiR9QfhflKE7rUxHXsHlh2i4uhPpD0MSjheQ-2I9PbdlRKdlDQunqZdDJEGOmHM8SxnEow==&#x0026;uniplatform=NZKPT&#x0026;language=CHS" ext-link-type="uri">https://kns.cnki.net/kcms2/article/abstract?v=e_WjztTC4N3ZjL_a5zhK2HHhfTwy6BaJHYx4PgOaBizLyhcsp8S7eI6BTvyIbxOvLKX2Ro4W0-TjH2HSTri8Uy7DgjAE8yHe4ss-AC_TRlwcXhqBoiR9QfhflKE7rUxHXsHlh2i4uhPpD0MSjheQ-2I9PbdlRKdlDQunqZdDJEGOmHM8SxnEow==&#x0026;uniplatform=NZKPT&#x0026;language=CHS</ext-link></mixed-citation></ref>
<ref id="ref12"><label>12.</label><mixed-citation publication-type="journal"><person-group person-group-type="author"><name><surname>Wang</surname><given-names>JH</given-names></name> <name><surname>Jia</surname><given-names>WW</given-names></name></person-group>. <article-title>Analysis of healthcare resource allocation and utilization efficiency in China</article-title>. <source>Finance Trade Economics</source>. (<year>2021</year>) <volume>42</volume>:<fpage>20</fpage>&#x2013;<lpage>35</lpage>. doi: <pub-id pub-id-type="doi">10.19795/j.cnki.cn11-1166/f.20210207.003</pub-id></mixed-citation></ref>
<ref id="ref13"><label>13.</label><mixed-citation publication-type="journal"><person-group person-group-type="author"><name><surname>Xu</surname><given-names>PP</given-names></name> <name><surname>Zhao</surname><given-names>J</given-names></name> <name><surname>Li</surname><given-names>CX</given-names></name> <name><surname>Liu</surname><given-names>SY</given-names></name> <name><surname>Li</surname><given-names>LF</given-names></name></person-group>. <article-title>Efficiency analysis of primary healthcare resource allocation based on data envelopment analysis</article-title>. <source>Mod Prev Med</source>. (<year>2023</year>) <volume>50</volume>:<fpage>1075</fpage>&#x2013;<lpage>9</lpage>. doi: <pub-id pub-id-type="doi">10.20043/j.cnki.MPM.202210053</pub-id></mixed-citation></ref>
<ref id="ref14"><label>14.</label><mixed-citation publication-type="journal"><person-group person-group-type="author"><name><surname>Duan</surname><given-names>GM</given-names></name> <name><surname>Chen</surname><given-names>LJ</given-names></name> <name><surname>Li</surname><given-names>JW</given-names></name> <name><surname>Zhao</surname><given-names>FL</given-names></name> <name><surname>Wan</surname><given-names>SJ</given-names></name></person-group>. <article-title>Evaluation and prediction of healthcare resource allocation efficiency in ethnic areas of Sichuan Province</article-title>. <source>Chin J Health Stat</source>. (<year>2023</year>) <volume>40</volume>:<fpage>902</fpage>&#x2013;<lpage>4</lpage>. Available online at: <ext-link xlink:href="https://kns.cnki.net/kcms2/article/abstract?v=e_WjztTC4N3a8p90cFcjJMcwd9cM34Uy6oxyvtjqvpOCzYM-Nok8QDqzqAlxM49TgtIR3q0HVlNmcQXm6Dp9eZTknJskbyO7k6C8KtXIETxSdbOklB_LjeqGPZeqqowBynLxuY-E6oUxoxEp08HRyFf0o_TgOyBHUZEdcu92Mppd-7dMCRc7UA==&#x0026;uniplatform=NZKPT&#x0026;language=CHS" ext-link-type="uri">https://kns.cnki.net/kcms2/article/abstract?v=e_WjztTC4N3a8p90cFcjJMcwd9cM34Uy6oxyvtjqvpOCzYM-Nok8QDqzqAlxM49TgtIR3q0HVlNmcQXm6Dp9eZTknJskbyO7k6C8KtXIETxSdbOklB_LjeqGPZeqqowBynLxuY-E6oUxoxEp08HRyFf0o_TgOyBHUZEdcu92Mppd-7dMCRc7UA==&#x0026;uniplatform=NZKPT&#x0026;language=CHS</ext-link></mixed-citation></ref>
<ref id="ref15"><label>15.</label><mixed-citation publication-type="journal"><person-group person-group-type="author"><name><surname>Cui</surname><given-names>CS</given-names></name> <name><surname>Liu</surname><given-names>W</given-names></name> <name><surname>Lu</surname><given-names>F</given-names></name> <name><surname>He</surname><given-names>P</given-names></name></person-group>. <article-title>Research on the efficiency of medical resource allocation in Beijing based on data envelopment analysis</article-title>. <source>Chin J Health Policy</source>. (<year>2024</year>) <volume>17</volume>:<fpage>59</fpage>&#x2013;<lpage>64</lpage>. Available online at: <ext-link xlink:href="https://kns.cnki.net/kcms2/article/abstract?v=e_WjztTC4N2_t7jjKCBKSrNo-INSsf4L1snz6hs6PV2UybKuo46GfH1OhA1t-HB2izbvkb5Jjv9PLW9w1j18Y4DnnqRrn-_Gj20abnPwoty2dGU9YHLyPr167tqHTSjCbMFg067GeZ2izslHGAjQtzjXX1FvA1b4dU5rBvjaFvoJfrTcFVYF-w==&#x0026;uniplatform=NZKPT&#x0026;language=CHS" ext-link-type="uri">https://kns.cnki.net/kcms2/article/abstract?v=e_WjztTC4N2_t7jjKCBKSrNo-INSsf4L1snz6hs6PV2UybKuo46GfH1OhA1t-HB2izbvkb5Jjv9PLW9w1j18Y4DnnqRrn-_Gj20abnPwoty2dGU9YHLyPr167tqHTSjCbMFg067GeZ2izslHGAjQtzjXX1FvA1b4dU5rBvjaFvoJfrTcFVYF-w==&#x0026;uniplatform=NZKPT&#x0026;language=CHS</ext-link></mixed-citation></ref>
<ref id="ref16"><label>16.</label><mixed-citation publication-type="journal"><person-group person-group-type="author"><name><surname>Hong</surname><given-names>CY</given-names></name></person-group>. <article-title>Practice and thinking on high-quality development of large public hospitals in the new era</article-title>. <source>Health Econ Res</source>. (<year>2021</year>) <volume>38</volume>:<fpage>3</fpage>&#x2013;<lpage>7</lpage>. doi: <pub-id pub-id-type="doi">10.14055/j.cnki.33-1056/f.2021.07.021</pub-id></mixed-citation></ref>
<ref id="ref17"><label>17.</label><mixed-citation publication-type="journal"><person-group person-group-type="author"><name><surname>Hu</surname><given-names>ML</given-names></name> <name><surname>Chen</surname><given-names>SH</given-names></name></person-group>. <article-title>Measurement of healthcare resource allocation efficiency and spatiotemporal evolution analysis</article-title>. <source>Statistics Decision</source>. (<year>2023</year>) <volume>39</volume>:<fpage>72</fpage>&#x2013;<lpage>6</lpage>. doi: <pub-id pub-id-type="doi">10.13546/j.cnki.tjyjc.2023.01.013</pub-id></mixed-citation></ref>
<ref id="ref18"><label>18.</label><mixed-citation publication-type="journal"><person-group person-group-type="author"><name><surname>Cui</surname><given-names>QQ</given-names></name> <name><surname>Liu</surname><given-names>XW</given-names></name> <name><surname>Kong</surname><given-names>Y</given-names></name></person-group>. <article-title>Analysis of medical equipment utilization efficiency in public healthcare institutions</article-title>. <source>Med Soc</source>. (<year>2021</year>) <volume>34</volume>:<fpage>34</fpage>&#x2013;<lpage>8</lpage>. doi: <pub-id pub-id-type="doi">10.13723/j.yxysh.2021.08.007</pub-id></mixed-citation></ref>
<ref id="ref19"><label>19.</label><mixed-citation publication-type="journal"><person-group person-group-type="author"><name><surname>Wang</surname><given-names>L</given-names></name> <name><surname>Sheng</surname><given-names>YW</given-names></name> <name><surname>Shao</surname><given-names>S</given-names></name> <name><surname>Du</surname><given-names>Z</given-names></name></person-group>. <article-title>Analysis of provincial healthcare resource allocation efficiency based on a network DEA model</article-title>. <source>Chin J Soc Med</source>. (<year>2024</year>) <volume>41</volume>:<fpage>753</fpage>&#x2013;<lpage>7</lpage>. Available online at: <ext-link xlink:href="https://kns.cnki.net/kcms2/article/abstract?v=e_WjztTC4N1n18nt6Ru6x5cnqefqAd7rZKhfFp7LsUtM_-gk-SAfTx-jTtHaOKXwCjLGSTgEJCrSIADcDiWmet1EIyH7AUH7VWBvqlilxAhTF_LNEtZnW6AhzDj41Dx3YhMhKYjzCKM1x2xQc-ZMlO3hTqX-vduFiW40TbXM1EFT4o-dQvdUPQ==&#x0026;uniplatform=NZKPT&#x0026;language=CHS" ext-link-type="uri">https://kns.cnki.net/kcms2/article/abstract?v=e_WjztTC4N1n18nt6Ru6x5cnqefqAd7rZKhfFp7LsUtM_-gk-SAfTx-jTtHaOKXwCjLGSTgEJCrSIADcDiWmet1EIyH7AUH7VWBvqlilxAhTF_LNEtZnW6AhzDj41Dx3YhMhKYjzCKM1x2xQc-ZMlO3hTqX-vduFiW40TbXM1EFT4o-dQvdUPQ==&#x0026;uniplatform=NZKPT&#x0026;language=CHS</ext-link></mixed-citation></ref>
<ref id="ref20"><label>20.</label><mixed-citation publication-type="journal"><person-group person-group-type="author"><name><surname>Li</surname><given-names>WT</given-names></name> <name><surname>Chen</surname><given-names>JH</given-names></name> <name><surname>Lu</surname><given-names>H</given-names></name> <name><surname>Fan</surname><given-names>ZZ</given-names></name> <name><surname>Zhu</surname><given-names>L</given-names></name> <name><surname>Ma</surname><given-names>GL</given-names></name> <etal/></person-group>. <article-title>Analysis of healthcare resource allocation efficiency in Nanjing from 2015 to 2022</article-title>. <source>Occup Health</source>. (<year>2025</year>) <volume>41</volume>:<fpage>3015</fpage>&#x2013;<lpage>9</lpage>. doi: <pub-id pub-id-type="doi">10.13329/j.cnki.zyyjk.2025.0542</pub-id></mixed-citation></ref>
<ref id="ref21"><label>21.</label><mixed-citation publication-type="journal"><person-group person-group-type="author"><name><surname>Yu</surname><given-names>CL</given-names></name> <name><surname>Li</surname><given-names>J</given-names></name></person-group>. <article-title>Analysis of current status and operational efficiency of traditional Chinese medicine resource allocation in the Yangtze River Delta region</article-title>. <source>Health Dev Policy Res</source>. (<year>2024</year>) <volume>27</volume>:<fpage>351</fpage>&#x2013;<lpage>7</lpage>. Available online at: <ext-link xlink:href="https://kns.cnki.net/kcms2/article/abstract?v=e_WjztTC4N1utboi6KcKU9VYOXGbvq3ls0PAnpLqx9M541jwOu7_F_YNXiLnyk-RDGLuO2ZsopgbY9d9B2-KYapL8B8es_EsB2TLdITSmU9wLUZHMQxZLtt1bQKw2-CbCd36oJ2Xc93Za-JNaZI_OrxLIP0H3Wf4zRd6bGfbd97qC46WbZNxZw==&#x0026;uniplatform=NZKPT&#x0026;language=CHS" ext-link-type="uri">https://kns.cnki.net/kcms2/article/abstract?v=e_WjztTC4N1utboi6KcKU9VYOXGbvq3ls0PAnpLqx9M541jwOu7_F_YNXiLnyk-RDGLuO2ZsopgbY9d9B2-KYapL8B8es_EsB2TLdITSmU9wLUZHMQxZLtt1bQKw2-CbCd36oJ2Xc93Za-JNaZI_OrxLIP0H3Wf4zRd6bGfbd97qC46WbZNxZw==&#x0026;uniplatform=NZKPT&#x0026;language=CHS</ext-link></mixed-citation></ref>
<ref id="ref22"><label>22.</label><mixed-citation publication-type="journal"><person-group person-group-type="author"><name><surname>Zang</surname><given-names>ZT</given-names></name> <name><surname>Guan</surname><given-names>WB</given-names></name> <name><surname>Liang</surname><given-names>D</given-names></name></person-group>. <article-title>Research on the medical service efficiency of township health centers in Guangxi under the background of compact county medical communities</article-title>. <source>Med Soc</source>. (<year>2024</year>) <volume>37</volume>:<fpage>40</fpage>&#x2013;<lpage>6</lpage>. doi: <pub-id pub-id-type="doi">10.13723/j.yxysh.2024.05.006</pub-id></mixed-citation></ref>
<ref id="ref23"><label>23.</label><mixed-citation publication-type="journal"><person-group person-group-type="author"><name><surname>Deng</surname><given-names>XX</given-names></name> <name><surname>Yao</surname><given-names>ZJ</given-names></name></person-group>. <article-title>Analysis of healthcare resource allocation efficiency in China's three major strategic regions</article-title>. <source>Mod Prev Med</source>. (<year>2022</year>) <volume>49</volume>:<fpage>1631</fpage>&#x2013;<lpage>5</lpage>. Available online at: <ext-link xlink:href="https://kns.cnki.net/kcms2/article/abstract?v=e_WjztTC4N2QFSTONkwfzGM1851rTB17Jl_564Mtpmxn-lyD2wb_WYEqgJsua8nmIMiNd9J0Q9DQKOUCbUAVPx3TwjWYHM_0hSJSUTQ66CkPwmH9qS_TtQP5n2bYO0cv96JV7yv5UkoKCGkXt4UyIQEJFjmD1IXNdy2E0Ey4OkldhsDO6r2DiQ==&#x0026;uniplatform=NZKPT&#x0026;language=CHS" ext-link-type="uri">https://kns.cnki.net/kcms2/article/abstract?v=e_WjztTC4N2QFSTONkwfzGM1851rTB17Jl_564Mtpmxn-lyD2wb_WYEqgJsua8nmIMiNd9J0Q9DQKOUCbUAVPx3TwjWYHM_0hSJSUTQ66CkPwmH9qS_TtQP5n2bYO0cv96JV7yv5UkoKCGkXt4UyIQEJFjmD1IXNdy2E0Ey4OkldhsDO6r2DiQ==&#x0026;uniplatform=NZKPT&#x0026;language=CHS</ext-link></mixed-citation></ref>
<ref id="ref24"><label>24.</label><mixed-citation publication-type="journal"><person-group person-group-type="author"><name><surname>Zhang</surname><given-names>BY</given-names></name> <name><surname>Duan</surname><given-names>L</given-names></name> <name><surname>Li</surname><given-names>Y</given-names></name> <name><surname>Duan</surname><given-names>GF</given-names></name></person-group>. <article-title>Research on the Number of Patient Visits and Its Associated Factors in Primary Healthcare Institutions in China</article-title>. <source>Health Economics Research</source>. (<year>2025</year>) <volume>40</volume>:<fpage>36-39+43</fpage>. doi: <pub-id pub-id-type="doi">10.14055/j.cnki.33-1056/f.2025.12.005</pub-id></mixed-citation></ref>
</ref-list>
<fn-group>
<fn fn-type="custom" custom-type="edited-by" id="fn0001">
<p>Edited by: <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1926651/overview">Gabriel Gomes De Oliveira</ext-link>, State University of Campinas, Brazil</p>
</fn>
<fn fn-type="custom" custom-type="reviewed-by" id="fn0002">
<p>Reviewed by: <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/2528171/overview">Qinpu Liu</ext-link>, Nanjing Xiaozhuang University, China</p>
<p><ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/2875704/overview">Wei Jiang</ext-link>, Jiangsu Vocational College of Medicine, China</p>
</fn>
</fn-group>
</back>
</article>