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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Public Health</journal-id>
<journal-title>Frontiers in Public Health</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Public Health</abbrev-journal-title>
<issn pub-type="epub">2296-2565</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
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<article-meta>
<article-id pub-id-type="doi">10.3389/fpubh.2025.1533922</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Public Health</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Does public pension crowd out the participation of older adults in community volunteering? Evidence from China</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author"><name><surname>Li</surname> <given-names>Zhi-Yun</given-names></name><xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<uri xlink:href="https://loop.frontiersin.org/people/1439507/overview"/>
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<role content-type="https://credit.niso.org/contributor-roles/writing-original-draft/"/>
</contrib>
<contrib contrib-type="author"><name><surname>Tang</surname> <given-names>Ying-Yi</given-names></name><xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
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<contrib contrib-type="author" corresp="yes"><name><surname>Yang</surname> <given-names>Hua-Lei</given-names></name><xref ref-type="aff" rid="aff2"><sup>2</sup></xref><xref ref-type="corresp" rid="c001"><sup>&#x002A;</sup></xref>
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<contrib contrib-type="author"><name><surname>Tang</surname> <given-names>Li-Li</given-names></name><xref ref-type="aff" rid="aff2"><sup>2</sup></xref><xref ref-type="corresp" rid="c001"><sup>&#x002A;</sup></xref>
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<aff id="aff1"><sup>1</sup><institution>College of Politics and Public Administration, Qingdao University</institution>, <addr-line>Qingdao</addr-line>, <country>China</country></aff>
<aff id="aff2"><sup>2</sup><institution>School of Public Administration, Zhongnan University of Economics and Law</institution>, <addr-line>Wuhan</addr-line>, <country>China</country></aff>
<author-notes>
<fn fn-type="edited-by" id="fn0003">
<p>Edited by: Chao Ma, Southeast University, China</p>
</fn>
<fn fn-type="edited-by" id="fn0004">
<p>Reviewed by: M. Alvi Syahrin, Immigration Polytechnic, Indonesia</p>
<p>Cristiana Furtado Firmino, Escola Superior de Enfermagem de Lisboa, Portugal</p>
</fn>
<corresp id="c001">&#x002A;Correspondence: Hua-Lei Yang, <email>home@zuel.edu.cn</email>; Li-Li Tang,<email>tanglili@stu.zuel.edu.cn</email></corresp>
</author-notes>
<pub-date pub-type="epub">
<day>25</day>
<month>03</month>
<year>2025</year>
</pub-date>
<pub-date pub-type="collection">
<year>2025</year>
</pub-date>
<volume>13</volume>
<elocation-id>1533922</elocation-id>
<history>
<date date-type="received">
<day>25</day>
<month>11</month>
<year>2024</year>
</date>
<date date-type="accepted">
<day>13</day>
<month>03</month>
<year>2025</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#x00A9; 2025 Li, Tang, Yang and Tang.</copyright-statement>
<copyright-year>2025</copyright-year>
<copyright-holder>Li, Tang, Yang and Tang</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/">
<p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</p>
</license>
</permissions>
<abstract>
<sec id="sec1">
<title>Background</title>
<p>To address aging and its associated social risks, the World Health Organization proposed an &#x201C;active aging&#x201D; policy framework in 2002, highlighting &#x201C;health, participation, and security&#x201D; as the three pillars for enhancing quality of life in old age. Extensive research has shown that public pensions, as a state-implemented social security measure, can effectively improve the health and well-being of older adults. However, existing studies have not sufficiently examined the causal impact of public pensions on social participation among older adults, such as community volunteering.</p>
</sec>
<sec id="sec2">
<title>Methods</title>
<p>Using data from the China Longitudinal Aging Social Survey in 2018, this article employs propensity score matching (PSM) and control function (CF) approaches to empirically examine the impact of the Urban and Rural Resident Social Pension (URRSP) on the participation of older adults in community volunteering. Specifically, we investigate whether this relationship varies across social groups.</p>
</sec>
<sec id="sec3">
<title>Results</title>
<p>Empirical results indicate that, compared to uninsured older adults, those enrolled in the pension program show a significantly lower likelihood and frequency of volunteering. This finding is robust after controlling for observable and unobservable characteristics, thus supporting the crowding-out hypothesis. Furthermore, heterogeneity analysis reveals that this crowding-out effect is more pronounced among older adults with higher socioeconomic status, such as those living in urban areas, with higher education, higher income, and better health. In other words, the limited benefits provided by the URRSP not only fail to offer financial support for volunteering, but also significantly reduce the willingness and level of volunteering among those with higher socioeconomic status.</p>
</sec>
<sec id="sec4">
<title>Conclusion</title>
<p>The above findings confirm the crowding-out hypothesis, suggesting that in developing countries with underdeveloped and stratified social security systems, state-led public pensions may crowd out older adults&#x2019; participation in volunteer activities that are altruism and mutual support.</p>
</sec>
</abstract>
<kwd-group>
<kwd>active aging</kwd>
<kwd>public pension</kwd>
<kwd>older adults</kwd>
<kwd>volunteering participation</kwd>
<kwd>crowding-out effects</kwd>
</kwd-group>
<contract-num rid="cn1">24CRK017</contract-num>
<contract-num rid="cn2">24H059Z</contract-num>
<contract-sponsor id="cn1">National Social Science Fund of China<named-content content-type="fundref-id">10.13039/501100012325</named-content></contract-sponsor>
<contract-sponsor id="cn2">Fund of Shandong Province Humanities and Social Sciences Cooperation Project</contract-sponsor>
<counts>
<fig-count count="1"/>
<table-count count="5"/>
<equation-count count="4"/>
<ref-count count="39"/>
<page-count count="11"/>
<word-count count="7449"/>
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<custom-meta-wrap>
<custom-meta>
<meta-name>section-at-acceptance</meta-name>
<meta-value>Aging and Public Health</meta-value>
</custom-meta>
</custom-meta-wrap>
</article-meta>
</front>
<body>
<sec sec-type="intro" id="sec5">
<label>1</label>
<title>Introduction</title>
<p>Population ageing and the associated social risks have become a significant governance challenge for many industrialized countries. In response to this challenge, the WHO proposed the &#x201C;Active Ageing&#x201D; policy framework, which highlights &#x201C;health, participation, and security&#x201D; as the three pillars for enhancing quality of life in old age (<xref ref-type="bibr" rid="ref1">1</xref>). Within this framework, social participation of older adults is considered a core ingredient, aiming to encourage their involvement in social, cultural, and spiritual activities. The active aging model envisions older adults not only as beneficiaries of social services but also as active participants who can contribute to society through various forms of paid and unpaid work (<xref ref-type="bibr" rid="ref2">2</xref>). Based on this initiative, many developing countries have implemented social security and welfare policies to address poverty and vulnerability in old age (<xref ref-type="bibr" rid="ref3">3</xref>). Among these measures, public pensions serve as a fundamental form of security, providing essential economic support to older adults, thereby fostering a foundation for improved health and social participation. Extensive empirical research has shown that social pensions can effectively improve the health and well-being of older adults (<xref ref-type="bibr" rid="ref4">4</xref>). However, existing studies have not fully examined the causal impact of public pensions on the social participation of older adults, such as their involvement in volunteer activities.</p>
<p>Conceptually, as an important form of social participation, community volunteering refers to productive and altruistic activities (<xref ref-type="bibr" rid="ref5">5</xref>) in which older adults voluntarily engage in activities and services that benefit the local community (<xref ref-type="bibr" rid="ref6">6</xref>). Volunteering among older adults is a crucial pathway to achieving active aging, as it not only brings health benefits to older adults (<xref ref-type="bibr" rid="ref7">7</xref>) but also contributes positively to the community (<xref ref-type="bibr" rid="ref8">8</xref>). Specifically, by offering help to those in need, older adults who participate in volunteer activities expand their social networks, gain increased social support, and, in turn, obtain a form of informal insurance against future risks<xref ref-type="fn" rid="fn0001"><sup>1</sup></xref>.</p>
<p>Theoretically, there are two competing views regarding the relationship between state-led pensions and community volunteering among older adults. The first is <italic>the crowding-out hypothesis</italic>, which suggests that welfare states and their generous social spending take responsibility away from civil society and individuals, thereby impeding the formation of social ties and social capital (<xref ref-type="bibr" rid="ref9">9</xref>). According to this view, public pensions provide an alternative form of risk-sharing for older adults, thus weakening their motivation to engage in mutual support activities (<xref ref-type="bibr" rid="ref7">7</xref>). Alternatively, <italic>the crowding-in hypothesis</italic> posits that public pensions not only offer economic security and income support for older adults to participate in volunteer activities but also narrow income gaps across social strata, fostering a culture of solidarity and mutual assistance. Consequently, state-led pensions are believed to increase the willingness of older adults to participate in volunteering (<xref ref-type="bibr" rid="ref10">10</xref>).</p>
<p>Empirically, much of existing literature largely employs cross-national comparisons to examine the relationship between welfare policies and volunteering participation, yet the findings remain inconclusive. Some studies have found significant evidence of the crowding-in effect. For instance, Ackermann et al.&#x2019;s analysis of 23 European countries found that volunteering is higher in more generous welfare states. In particular, pension welfare significantly strengthens volunteering among the retired and older adults (<xref ref-type="bibr" rid="ref11">11</xref>). Similarly, Visser et al. found that higher social spending on healthcare and old-age pensions promotes social contact among older adults (<xref ref-type="bibr" rid="ref12">12</xref>). On the other hand, other studies have provided evidence supporting the crowding-out view. For example, Stadelmann-Steffen found that the scale of welfare spending has a negative impact on volunteer participation, particularly for groups with higher socioeconomic status (<xref ref-type="bibr" rid="ref9">9</xref>). Suzuki also observed that large-scale austerity measures by the government significantly raise the likelihood of individual volunteer participation, suggesting a substitution effect (<xref ref-type="bibr" rid="ref13">13</xref>). Additionally, some studies have found no significant impact of welfare provision on civic volunteerism (<xref ref-type="bibr" rid="ref9">9</xref>, <xref ref-type="bibr" rid="ref14">14</xref>). This inconsistency in findings underscores the need for further examination of these competing views.</p>
<p>However, existing researches have the following limitations. First, most studies focus on developed countries, with limited attention paid to developing countries. In developed countries, the formal welfare system, characterized by generous spending on pensions, healthcare, and social services, effectively meet the vast majority of citizens&#x2019; security needs (<xref ref-type="bibr" rid="ref15">15</xref>). In contrast, in developing countries with less developed social protection systems, individuals rely more heavily on informal social support from relatives, friends, and community members to establish economic safety nets and sustain livelihoods, such as through altruistic donations and community volunteering. Consequently, the crowding-out effect of welfare policies is more likely to occur in developing countries. Second, scholars have argued that it is inappropriate to assume that welfare policies have uniform effects on all individuals (<xref ref-type="bibr" rid="ref12">12</xref>, <xref ref-type="bibr" rid="ref16">16</xref>). In other words, the impact of welfare policies may vary across social groups. Third, considering the inability to control for all confounding variables that simultaneously affect both welfare provision and voluntary participation, previous studies using cross-national comparison methods may be biased. Additionally, estimates based on country-level data may suffer from ecological fallacy. Therefore, it is necessary to examine the causal effects at the micro level to complement the current research findings (<xref ref-type="bibr" rid="ref10">10</xref>, <xref ref-type="bibr" rid="ref17">17</xref>).</p>
<p>As the largest developing country, China provides an ideal case for examining the relationship between pension programs and volunteer participation among older adults. On the one hand, to address poverty and improve quality of life, the Chinese government has established the world&#x2019;s most extensive basic pension system. This system currently includes three types of basic pension programs targeting different populations: the Urban&#x2013;Rural Resident Social Pension (URRSP), the Enterprise Employee Basic Pension (EEBP), and the Government and Institution Pension (GIP). This study focuses on the URRSP, which serves jobless urban and rural residents. Unlike employer-funded pensions, the URRSP is financed by subsidies from both central and local governments (<xref ref-type="bibr" rid="ref18">18</xref>) and can be considered a poverty-alleviation policy with transfer-payment characteristics. In terms of pension benefits, China&#x2019;s basic pension system exhibits a typical stratified structure, resembling a pyramid (<xref ref-type="bibr" rid="ref19">19</xref>). This design not only causes &#x201C;identity segmentation&#x201D; but also exacerbates income inequality among older adults (<xref ref-type="bibr" rid="ref20">20</xref>). As of 2022, the average benefit level for basic pensions was 1,745 CNY per month. However, the average monthly benefit for EEBP participants was 3,605 CNY, while for URRSP participants, it was just 204 CNY (<xref ref-type="bibr" rid="ref21">21</xref>). On the other hand, given the low benefit levels of the urban&#x2013;rural residents&#x2019; basic pension, which are insufficient to support basic livelihood (<xref ref-type="bibr" rid="ref22">22</xref>), older individuals covered by this insurance still rely on informal social support from family, friends, and the community to cope with life risks (<xref ref-type="bibr" rid="ref7">7</xref>, <xref ref-type="bibr" rid="ref23">23</xref>). Within the context of China&#x2019;s stratified social insurance system, limited and unequal pension income fails to provide the necessary economic resources to support older adults&#x2019; participation in volunteer activities. Instead, it tends to amplify perceptions of social distance between individuals, undermines the foundation of trust, community norms, and collective consciousness, ultimately reducing individuals&#x2019; willingness to invest in social relationships with peers and neighbors (<xref ref-type="bibr" rid="ref24">24</xref>). Consequently, we hypothesize that the URRSP, being at the bottom of the stratified pension system, will have a significant crowding-out effect on volunteer participation among older adults.</p>
<p>In summary, using the 2018 data from the China Longitudinal Aging Social Survey (CLASS), this article employs propensity score matching and the control function approach to empirically examine the impact of the Urban&#x2013;Rural Resident Social Pension (URRSP) on community volunteering among older adults. In particular, we investigate whether this relationship varies across social groups. The paper is structured as follows: Section 2 introduces the data and methodology; Section 3 presents the empirical results and heterogeneity analysis; Section 4 provides interpretations and discussions of the findings; and Section 5 offers concluding remarks and policy implications.</p>
</sec>
<sec sec-type="materials|methods" id="sec6">
<label>2</label>
<title>Materials and methods</title>
<sec id="sec7">
<label>2.1</label>
<title>Data sources</title>
<p>The data used in this article was from the 2018 China Longitudinal Aging Social Survey, which was released by the Institute of Gerontology at Renmin University of China. By using a stratified multi-stage sampling method, the data were collected from respondents in 476 village (neighborhood) committees across 30 provincial administrative units within China. The survey content includes information on the health, family relationships, social background, and economic conditions of individuals aged 60 and above, with a particular focus on social participation among older adults, including volunteer services. A total of 11,419 respondents were collected in this survey. For the purposes of this study, we excluded older individuals who enrolled in the Enterprise Employee Basic Pension or the Government and Institution Pensions, and handled missing data. Ultimately, 7,606 valid samples were obtained. Data analysis was conducted using Stata 16.0.</p>
</sec>
<sec id="sec8">
<label>2.2</label>
<title>Variables</title>
<sec id="sec9">
<label>2.2.1</label>
<title>Dependent variable</title>
<p>The dependent variable is the community volunteering of older adults. In this survey, respondents were asked to recall whether they participated in a series of volunteer activities in the past year: &#x201C;community security patrols, caring for other older people or children (such as helping with shopping, daily care, etc.), environmental sanitation and protection, mediation of neighborhood disputes, accompanying chats, volunteering services that require professional skills (such as free clinics, cultural and technological promotion, etc.), helping to look after other people&#x2019;s children, and other activities?&#x201D; For each activity, respondents chose the frequency form five options including &#x201C;never,&#x201D; &#x201C;several times a year,&#x201D; &#x201C;at least once a month,&#x201D; &#x201C;at least once a week,&#x201D; and &#x201C;almost daily.&#x201D; Further, we recode the above frequency variables into 0 (never), 1 (several times a year), 2 (at least once a month), 3 (at least once a week), and 4 (almost daily). Based on this, this study applies two volunteering indicators. The first indicator is a binary variable, namely <italic>participation behavior</italic>, which takes the value of 0 when the respondent had not undertaken given activities and takes the value of 1 when the respondent had participated in any given community activity. The second indicator is a continuous variable, namely <italic>participation frequency</italic>, which is measured by the sum of the participation frequencies of all activities. A higher score indicates a higher level of community volunteering by older adults.</p>
</sec>
<sec id="sec10">
<label>2.2.2</label>
<title>Independent variable</title>
<p>The core explanatory variable is whether older adults are beneficiaries of Urban and Rural Resident Social Pension (URRSP). Respondents were asked &#x201C;Are you eligible to receive the basic pension from the URRSP?&#x201D; If the answer is yes, then it takes the value 1, i.e., a <italic>pensioner</italic>, while if there is no any pension insurance, then it takes the value 0, i.e., a <italic>non-pensioner</italic>.</p>
</sec>
<sec id="sec11">
<label>2.2.3</label>
<title>Control variables</title>
<p>Following prior studies, we also control a series of confounding variables that may simultaneously affect older adults&#x2019; choice of participating in pension insurance and their community activities. Individual-level variables include gender, age (centered) and its square, place of residence (urban is 1, rural is 0), marital status (married with a spouse is 1, otherwise it is 0), education level (junior high school and above is 1, otherwise it is 0), personal total income last year (low-income group, middle-income group, high-income group and a category for missing values<xref ref-type="fn" rid="fn0002"><sup>2</sup></xref>), number of chronic diseases, subjective health level (1&#x2013;5), employment status; family characteristics include the number of children, co-residence with children, number of grandchildren, etc. Descriptive statistics for all variables are shown in <xref ref-type="table" rid="tab1">Table 1</xref>.</p>
<table-wrap position="float" id="tab1">
<label>Table 1</label>
<caption>
<p>Descriptive statistics.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th/>
<th align="center" valign="top">Non-pensioners (<italic>N</italic> =&#x202F;2,837)</th>
<th align="center" valign="top">Pensioners (<italic>N</italic> =&#x202F;4,769)</th>
<th align="center" valign="top">T-test</th>
</tr>
<tr>
<th align="left" valign="top">Variables</th>
<th align="center" valign="top">Mean\proportion</th>
<th align="center" valign="top">Mean\proportion</th>
<th align="center" valign="top">Difference</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="bottom">Participation behavior</td>
<td align="center" valign="bottom">0.417</td>
<td align="center" valign="bottom">0.281</td>
<td align="center" valign="bottom">0.135&#x002A;&#x002A;&#x002A;</td>
</tr>
<tr>
<td align="left" valign="bottom">Participation frequency</td>
<td align="center" valign="bottom">3.367</td>
<td align="center" valign="bottom">2.275</td>
<td align="center" valign="bottom">1.092&#x002A;&#x002A;&#x002A;</td>
</tr>
<tr>
<td align="left" valign="bottom">Female</td>
<td align="center" valign="bottom">49.30%</td>
<td align="center" valign="bottom">51.50%</td>
<td align="center" valign="bottom">&#x2212;0.022&#x002A;</td>
</tr>
<tr>
<td align="left" valign="bottom">Urban</td>
<td align="center" valign="bottom">75.10%</td>
<td align="center" valign="bottom">76.40%</td>
<td align="center" valign="bottom">&#x2212;0.0130</td>
</tr>
<tr>
<td align="left" valign="bottom">Age</td>
<td align="center" valign="bottom">71.65</td>
<td align="center" valign="bottom">71.39</td>
<td align="center" valign="bottom">0.262</td>
</tr>
<tr>
<td align="left" valign="bottom">Married</td>
<td align="center" valign="bottom">68.20%</td>
<td align="center" valign="bottom">66.30%</td>
<td align="center" valign="bottom">0.036&#x002A;&#x002A;&#x002A;</td>
</tr>
<tr>
<td align="left" valign="bottom">Education: middle school and above</td>
<td align="center" valign="bottom">21.40%</td>
<td align="center" valign="bottom">19.00%</td>
<td align="center" valign="bottom">0.024&#x002A;&#x002A;</td>
</tr>
<tr>
<td align="left" valign="bottom">Low-income group</td>
<td align="center" valign="bottom">21.11%</td>
<td align="center" valign="bottom">19.35%</td>
<td align="center" valign="middle" rowspan="4">&#x002A;&#x002A;&#x002A;</td>
</tr>
<tr>
<td align="left" valign="bottom">Middle-income group</td>
<td align="center" valign="bottom">28.45%</td>
<td align="center" valign="bottom">32.38%</td>
</tr>
<tr>
<td align="left" valign="bottom">High-income group</td>
<td align="center" valign="bottom">22.52%</td>
<td align="center" valign="bottom">27.57%</td>
</tr>
<tr>
<td align="left" valign="bottom">Income: Missing</td>
<td align="center" valign="bottom">27.92%</td>
<td align="center" valign="bottom">20.70%</td>
</tr>
<tr>
<td align="left" valign="bottom">Number of chronic diseases</td>
<td align="center" valign="bottom">1.366</td>
<td align="center" valign="bottom">1.593</td>
<td align="center" valign="bottom">&#x2212;0.228&#x002A;&#x002A;&#x002A;</td>
</tr>
<tr>
<td align="left" valign="bottom">Employed</td>
<td align="center" valign="bottom">31.70%</td>
<td align="center" valign="bottom">34.10%</td>
<td align="center" valign="bottom">&#x2212;0.024&#x002A;&#x002A;</td>
</tr>
<tr>
<td align="left" valign="bottom">Health</td>
<td align="center" valign="bottom">3.300</td>
<td align="center" valign="bottom">3.277</td>
<td align="center" valign="bottom">0.0240</td>
</tr>
<tr>
<td align="left" valign="bottom">Number of grandchildren</td>
<td align="center" valign="bottom">3.165</td>
<td align="center" valign="bottom">3.191</td>
<td align="center" valign="bottom">&#x2212;0.0260</td>
</tr>
<tr>
<td align="left" valign="bottom">Number of children</td>
<td align="center" valign="bottom">2.779</td>
<td align="center" valign="bottom">2.867</td>
<td align="center" valign="bottom">&#x2212;0.088&#x002A;&#x002A;</td>
</tr>
<tr>
<td align="left" valign="bottom">Live with children</td>
<td align="center" valign="bottom">32.60%</td>
<td align="center" valign="bottom">37.70%</td>
<td align="center" valign="bottom">&#x2212;0.051&#x002A;&#x002A;&#x002A;</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p>&#x002A;<italic>p</italic>&#x202F;&#x003C;&#x202F;0.1, &#x002A;&#x002A;<italic>p</italic>&#x202F;&#x003C;&#x202F;0.05, &#x002A;&#x002A;&#x002A;<italic>p</italic>&#x202F;&#x003C;&#x202F;0.01.</p>
</table-wrap-foot>
</table-wrap>
</sec>
</sec>
<sec id="sec12">
<label>2.3</label>
<title>Model</title>
<sec id="sec13">
<label>2.3.1</label>
<title>Benchmark regression model</title>
<p>In the analysis, older adults&#x2019; volunteering participation is divided into participation behavior and participation frequency, which are binary and continuous variables, respectively. Therefore, the Probit model and OLS model are used as the baseline regression models to estimate the relationship between pension and participation in volunteer activity among older adults. The model can be constructed as shown in <xref ref-type="disp-formula" rid="EQ1">Equation 1</xref>.</p>
<disp-formula id="EQ1">
<label>(1)</label>
<mml:math id="M1">
<mml:msub>
<mml:mi>y</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:msub>
<mml:mi>&#x03B2;</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mi>&#x03B2;</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
<mml:mi mathvariant="italic">pensio</mml:mi>
<mml:msub>
<mml:mi>n</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mi>&#x03B2;</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:msub>
<mml:mi>Z</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mi>&#x03BC;</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:math>
</disp-formula>
<p>where <inline-formula>
<mml:math id="M2">
<mml:msub>
<mml:mi>y</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:math>
</inline-formula> denotes whether the respondent <italic>i</italic> had participated in any volunteer activity over the past year or the sum of the participation frequencies of all volunteer activities. <inline-formula>
<mml:math id="M3">
<mml:mi mathvariant="italic">pensio</mml:mi>
<mml:msub>
<mml:mi>n</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:math>
</inline-formula> denotes whether the respondent <italic>i</italic> was enrolled in the Urban and Rural Resident Social Pension (URRSP), <inline-formula>
<mml:math id="M4">
<mml:msub>
<mml:mi>Z</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:math>
</inline-formula> represents a set of potential confounding variables, and <inline-formula>
<mml:math id="M5">
<mml:msub>
<mml:mi>&#x03BC;</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:math>
</inline-formula> is the random error term.</p>
</sec>
<sec id="sec14">
<label>2.3.2</label>
<title>Propensity score matching</title>
<p>Whether older adults participate in pension program is obviously a self-selection behavior, which depends on individual characteristics (observed and unobserved). In this case, the estimation results of the benchmark regression model could be biased. This study employs the propensity score matching method to test the robustness of the benchmark regression results, which can correct the selective bias caused by individual observed characteristics. The average treatment effect of participating in pension (ATT) can be obtained through <xref ref-type="disp-formula" rid="EQ2">Equation 2</xref>.</p>
<disp-formula id="EQ2">
<label>(2)</label>
<mml:math id="M6">
<mml:mi>A</mml:mi>
<mml:mi>T</mml:mi>
<mml:mi>T</mml:mi>
<mml:mo>=</mml:mo>
<mml:mspace width="0.5em"/>
<mml:mo stretchy="false">[</mml:mo>
<mml:mi>E</mml:mi>
<mml:mo stretchy="false">(</mml:mo>
<mml:msub>
<mml:mi>y</mml:mi>
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mi>i</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo stretchy="true">|</mml:mo>
<mml:msub>
<mml:mi>D</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mn>1</mml:mn>
<mml:mo>,</mml:mo>
<mml:mi>p</mml:mi>
<mml:mfenced open="(" close=")">
<mml:msub>
<mml:mi>Z</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mfenced>
<mml:mo stretchy="true">]</mml:mo>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>E</mml:mi>
<mml:mo stretchy="true">[</mml:mo>
<mml:mo stretchy="true">(</mml:mo>
<mml:msub>
<mml:mi>y</mml:mi>
<mml:mrow>
<mml:mn>0</mml:mn>
<mml:mi>i</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mspace width="0.25em"/>
<mml:mo stretchy="true">|</mml:mo>
<mml:msub>
<mml:mi>D</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mn>0</mml:mn>
<mml:mo>,</mml:mo>
<mml:mi>p</mml:mi>
<mml:mfenced open="(" close=")">
<mml:msub>
<mml:mi>Z</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mfenced>
<mml:mo stretchy="true">]</mml:mo>
</mml:math>
</disp-formula>
<p>Here, <inline-formula>
<mml:math id="M7">
<mml:msub>
<mml:mi>y</mml:mi>
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mi>i</mml:mi>
</mml:mrow>
</mml:msub>
</mml:math>
</inline-formula> represents the volunteering participation level of treatment group (<italic>pensioners</italic>), <inline-formula>
<mml:math id="M8">
<mml:msub>
<mml:mi>y</mml:mi>
<mml:mrow>
<mml:mn>0</mml:mn>
<mml:mi>i</mml:mi>
</mml:mrow>
</mml:msub>
</mml:math>
</inline-formula> represents the volunteering participation level of the control group (non-<italic>pensioners</italic>), <inline-formula>
<mml:math id="M9">
<mml:msub>
<mml:mi>D</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mn>1</mml:mn>
</mml:math>
</inline-formula> denotes that older adults had participated in the URRSP, <inline-formula>
<mml:math id="M10">
<mml:msub>
<mml:mi>D</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mn>0</mml:mn>
</mml:math>
</inline-formula> denotes that older adults had not participated in any pension insurance, and<inline-formula>
<mml:math id="M11">
<mml:mi>p</mml:mi>
<mml:mfenced open="(" close=")">
<mml:msub>
<mml:mi>Z</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mfenced>
</mml:math>
</inline-formula> is the propensity score, which is estimated by the Logit model incorporating a series of observed variables.</p>
</sec>
<sec id="sec15">
<label>2.3.3</label>
<title>Control function method</title>
<p>The PSM method partially corrects the issue of endogeneity caused by observed variables; however, omitted variables and causality issues may still cause endogenous problems in the estimation (<xref ref-type="bibr" rid="ref25">25</xref>). Based on Wooldridge&#x2019;s recommendation (<xref ref-type="bibr" rid="ref26">26</xref>), this study employs the control function (CF) approach using a two-stage estimation method to solve the endogeneity problem of pension participation. The CF approach involves predicting residuals from a first-stage regression model determining pension, and one or more valid instrumental variables are included (<xref ref-type="bibr" rid="ref27">27</xref>). Inspired by the existing literature (<xref ref-type="bibr" rid="ref28">28</xref>, <xref ref-type="bibr" rid="ref29">29</xref>), the individual&#x2019;s choice of participation in URRSP is influenced by peer effects. Therefore, this study uses the take-up rate of URRSP in respondent&#x2019;s community as an instrumental variable, denoted as <inline-formula>
<mml:math id="M12">
<mml:mi mathvariant="italic">pension</mml:mi>
<mml:mo>_</mml:mo>
<mml:mi>c</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>m</mml:mi>
<mml:msub>
<mml:mi>m</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:math>
</inline-formula>. The first-stage estimation equation of the CF method can be expressed as in <xref ref-type="disp-formula" rid="EQ3">Equation 3</xref>.</p>
<disp-formula id="EQ3">
<label>(3)</label>
<mml:math id="M13">
<mml:mi mathvariant="italic">pensio</mml:mi>
<mml:msub>
<mml:mi>n</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:msub>
<mml:mi>&#x03B1;</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mi>&#x03B1;</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
<mml:mi mathvariant="italic">pension</mml:mi>
<mml:mo>_</mml:mo>
<mml:mi>c</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>m</mml:mi>
<mml:msub>
<mml:mi>m</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mi>&#x03B1;</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:msub>
<mml:mi>Z</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mi>&#x03B5;</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:math>
</disp-formula>
<p>In our analysis, since the pension is binary, the CF approach uses generalized residuals (GR) predicted from the Probit model. Then, we add the generalized residuals obtained from the first-stage regression model determining pension as additional covariate into the second-stage estimation model, as shown in the following equation:</p>
<disp-formula id="EQ4">
<label>(4)</label>
<mml:math id="M14">
<mml:msub>
<mml:mi>y</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:msub>
<mml:mi>&#x03B2;</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mi>&#x03B2;</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
<mml:mi mathvariant="italic">pensio</mml:mi>
<mml:msub>
<mml:mi>n</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mi>&#x03B2;</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:msub>
<mml:mi>Z</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mi>&#x03B2;</mml:mi>
<mml:mn>3</mml:mn>
</mml:msub>
<mml:mi>G</mml:mi>
<mml:msub>
<mml:mi>R</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mi>&#x03BC;</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:math>
</disp-formula>
<p>One advantage of the CF approach is that it provides a simple, robust test of the null hypothesis that <italic>pension</italic> is exogenous. If the coefficient of <italic>GR</italic> in <xref ref-type="disp-formula" rid="EQ4">Equation 4</xref> is statistically significant, indicating that <italic>pension</italic> is endogenous. In this case, the generalized residuals term needs to be included as a control variable in the volunteer participation model to correct for endogeneity bias. Conversely, if the coefficient of <italic>GR</italic> is not significant, the hypothesis of exogeneity of pension participation cannot be rejected, and then <xref ref-type="disp-formula" rid="EQ1">Equation 1</xref> can achieve unbiased estimation.</p>
</sec>
</sec>
</sec>
<sec sec-type="results" id="sec16">
<label>3</label>
<title>Results</title>
<sec id="sec17">
<label>3.1</label>
<title>Descriptive analysis results</title>
<p><xref ref-type="table" rid="tab1">Table 1</xref> shows the statistical analysis of all variables according to the treatment group and the control group (i.e., Pensioners vs. Non-pensioners). The mean test shows that, on the one hand, the proportion of older people participating in volunteer activities in the pensioners group is 28.1%, which is statistically significantly lower than the 41.7% of the non-pensioners group; on the other hand, the mean frequency of participation in volunteer activities of the pensioners group is 2.275, which is also statistically significantly lower than the 3.367 of the non-pensioners group. The robustness of these results requires further analysis. In addition, there are significant differences between the treatment group and the control group in most observable variables, which suggests that we need to correct possible endogenous problems such as selective bias.</p>
</sec>
<sec id="sec18">
<label>3.2</label>
<title>Benchmark regression results</title>
<p>The above analysis shows that the volunteering participation of pensioners is significantly lower than that of the non-pensioners. Next, we add more control variables and uses Probit and OLS models to estimate the effects of pension insurance on the voluntary participation behavior and frequency of older adults. As shown in <xref ref-type="table" rid="tab2">Table 2</xref>, when controlling for a series of covariates, participating in social pension significantly reduces the level of voluntary participation of older adults at the 1% level, which supports the crowding-out effect hypothesis.</p>
<table-wrap position="float" id="tab2">
<label>Table 2</label>
<caption>
<p>The impacts of pension on volunteering participation among older adults (probit &#x0026; OLS).</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th/>
<th align="center" valign="top" colspan="2">Participation behavior</th>
<th align="center" valign="top" colspan="2">Participation frequency</th>
</tr>
<tr>
<th/>
<th align="center" valign="top">(1)</th>
<th align="center" valign="top">(2)</th>
<th align="center" valign="top">(3)</th>
<th align="center" valign="top">(4)</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="bottom">Pension receipt</td>
<td align="center" valign="bottom">&#x2212;0.369&#x002A;&#x002A;&#x002A; (0.031)</td>
<td align="center" valign="bottom">&#x2212;0.345&#x002A;&#x002A;&#x002A; (0.032)</td>
<td align="center" valign="bottom">&#x2212;1.092&#x002A;&#x002A;&#x002A; (0.114)</td>
<td align="center" valign="bottom">&#x2212;0.908&#x002A;&#x002A;&#x002A; (0.111)</td>
</tr>
<tr>
<td align="left" valign="bottom">Female</td>
<td/>
<td align="center" valign="bottom">0.062&#x002A; (0.032)</td>
<td/>
<td align="center" valign="bottom">0.085 (0.108)</td>
</tr>
<tr>
<td align="left" valign="bottom">Urban</td>
<td/>
<td align="center" valign="bottom">&#x2212;0.007 (0.038)</td>
<td/>
<td align="center" valign="bottom">&#x2212;0.352&#x002A;&#x002A; (0.138)</td>
</tr>
<tr>
<td align="left" valign="bottom">Age_c</td>
<td/>
<td align="center" valign="bottom">0.003 (0.003)</td>
<td/>
<td align="center" valign="bottom">0.044&#x002A;&#x002A;&#x002A; (0.011)</td>
</tr>
<tr>
<td align="left" valign="bottom">Age_c2</td>
<td/>
<td align="center" valign="bottom">0.000 (0.000)</td>
<td/>
<td align="center" valign="bottom">&#x2212;0.000 (0.001)</td>
</tr>
<tr>
<td align="left" valign="bottom">Married</td>
<td/>
<td align="center" valign="bottom">&#x2212;0.021 (0.036)</td>
<td/>
<td align="center" valign="bottom">&#x2212;0.094 (0.121)</td>
</tr>
<tr>
<td align="left" valign="bottom">Education: Middle school and above</td>
<td/>
<td align="center" valign="bottom">0.193&#x002A;&#x002A;&#x002A; (0.039)</td>
<td/>
<td align="center" valign="bottom">0.497&#x002A;&#x002A;&#x002A; (0.140)</td>
</tr>
<tr>
<td align="left" valign="bottom">Low-income group</td>
<td/>
<td align="center" valign="bottom">&#x2212;0.265&#x002A;&#x002A;&#x002A; (0.047)</td>
<td/>
<td align="center" valign="bottom">&#x2212;0.914&#x002A;&#x002A;&#x002A; (0.123)</td>
</tr>
<tr>
<td align="left" valign="bottom">High-income group</td>
<td/>
<td align="center" valign="bottom">0.231&#x002A;&#x002A;&#x002A; (0.042)</td>
<td/>
<td align="center" valign="bottom">0.886&#x002A;&#x002A;&#x002A; (0.143)</td>
</tr>
<tr>
<td align="left" valign="bottom">Income: missing</td>
<td/>
<td align="center" valign="bottom">0.301&#x002A;&#x002A;&#x002A; (0.042)</td>
<td/>
<td align="center" valign="bottom">1.481&#x002A;&#x002A;&#x002A; (0.157)</td>
</tr>
<tr>
<td align="left" valign="bottom">Number of chronic diseases</td>
<td/>
<td align="center" valign="bottom">&#x2212;0.109&#x002A;&#x002A;&#x002A; (0.013)</td>
<td/>
<td align="center" valign="bottom">&#x2212;0.430&#x002A;&#x002A;&#x002A; (0.043)</td>
</tr>
<tr>
<td align="left" valign="bottom">Employed</td>
<td/>
<td align="center" valign="bottom">&#x2212;0.095&#x002A;&#x002A;&#x002A; (0.035)</td>
<td/>
<td align="center" valign="bottom">&#x2212;1.085&#x002A;&#x002A;&#x002A; (0.111)</td>
</tr>
<tr>
<td align="left" valign="bottom">Health</td>
<td/>
<td align="center" valign="bottom">&#x2212;0.004 (0.018)</td>
<td/>
<td align="center" valign="bottom">&#x2212;0.084 (0.063)</td>
</tr>
<tr>
<td align="left" valign="bottom">Number of grandchildren</td>
<td/>
<td align="center" valign="bottom">0.069&#x002A;&#x002A;&#x002A; (0.016)</td>
<td/>
<td align="center" valign="bottom">0.410&#x002A;&#x002A;&#x002A; (0.056)</td>
</tr>
<tr>
<td align="left" valign="bottom">Number of children</td>
<td/>
<td align="center" valign="bottom">0.003 (0.015)</td>
<td/>
<td align="center" valign="bottom">0.115&#x002A;&#x002A; (0.055)</td>
</tr>
<tr>
<td align="left" valign="bottom">Live with children</td>
<td/>
<td align="center" valign="bottom">&#x2212;0.144&#x002A;&#x002A;&#x002A; (0.034)</td>
<td/>
<td align="center" valign="bottom">&#x2212;0.435&#x002A;&#x002A;&#x002A; (0.115)</td>
</tr>
<tr>
<td align="left" valign="bottom">Constant</td>
<td align="center" valign="bottom">&#x2212;0.211&#x002A;&#x002A;&#x002A; (0.024)</td>
<td align="center" valign="bottom">&#x2212;0.360&#x002A;&#x002A;&#x002A; (0.117)</td>
<td align="center" valign="bottom">3.367&#x002A;&#x002A;&#x002A; (0.094)</td>
<td align="center" valign="bottom">2.661&#x002A;&#x002A;&#x002A; (0.424)</td>
</tr>
<tr>
<td align="left" valign="bottom">Observations</td>
<td align="center" valign="bottom">7,606</td>
<td align="center" valign="bottom">7,606</td>
<td align="center" valign="bottom">7,606</td>
<td align="center" valign="bottom">7,606</td>
</tr>
<tr>
<td align="left" valign="bottom">R-squared</td>
<td align="center" valign="bottom">-</td>
<td align="center" valign="bottom">-</td>
<td align="center" valign="bottom">0.012</td>
<td align="center" valign="bottom">0.097</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p>&#x002A;<italic>p</italic>&#x202F;&#x003C;&#x202F;0.1, &#x002A;&#x002A;<italic>p</italic>&#x202F;&#x003C;&#x202F;0.05, &#x002A;&#x002A;&#x002A;<italic>p</italic>&#x202F;&#x003C;&#x202F;0.01. The age variable has been centered. Robust standard errors are in parentheses.</p>
</table-wrap-foot>
</table-wrap>
<p>In addition, in terms of control variables, variables such as being female, age, education level, income level, and number of grandchildren are positively correlated with the level of volunteering participation of older adults, while variables such as living in urban area, being employed, and living with children are negatively correlated with the participation of older adults in volunteer activities. These findings are consistent with existing research (<xref ref-type="bibr" rid="ref30">30</xref>).</p>
</sec>
<sec id="sec19">
<label>3.3</label>
<title>Robustness analysis</title>
<sec id="sec20">
<label>3.3.1</label>
<title>PSM results</title>
<p>As mentioned above, whether older adults participate in social pension is a self-selection behavior, so the above results may be a false correlation caused by selective bias. Therefore, we employ the propensity score matching method to estimate the average treatment effect (ATT) of the pensioners. The premise of the propensity score matching estimation is to meet the requirements of the covariate balance test (<xref ref-type="bibr" rid="ref31">31</xref>). <xref ref-type="fig" rid="fig1">Figure 1</xref> is a plot of the standardized bias of covariates before and after matching. After matching, the standardized bias of all covariates reduces significantly, and are all less than 5%, indicating that propensity score matching achieves high balance and similarity of covariates between the treated and control groups.</p>
<fig position="float" id="fig1">
<label>Figure 1</label>
<caption>
<p>Standardized bias of each variable before and after matching.</p>
</caption>
<graphic xlink:href="fpubh-13-1533922-g001.tif"/>
</fig>
<p>When the balance test conditions are met, the difference in community volunteer participation between the pensioners and the non-pensioners is the Average Treatment Effect on the Treated (ATT) as reflected by the treatment event. We employ different types of matching estimators to accurately identify the causal relationship between social pension and volunteering participation among older adults, including four-nearest-neighbor matching, caliper matching, and kernel matching (<xref ref-type="bibr" rid="ref32">32</xref>). As shown in <xref ref-type="table" rid="tab3">Table 3</xref>, the signs and significance of ATTs estimated by different matching method converge, indicating that the results are highly robust. Therefore, taking into account the selective bias caused by observable characteristics, participating in pension insurance still significantly reduces the likelihood and frequency of older people&#x2019;s participation in voluntary activities.</p>
<table-wrap position="float" id="tab3">
<label>Table 3</label>
<caption>
<p>Regression results of PSM.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top" rowspan="2">Matching methods</th>
<th align="center" valign="top" colspan="3">Participation behavior</th>
<th align="center" valign="top" colspan="3">Participation frequency</th>
</tr>
<tr>
<th align="center" valign="top">ATT</th>
<th align="center" valign="top">S.E.</th>
<th align="center" valign="top">Z</th>
<th align="center" valign="top">ATT</th>
<th align="center" valign="top">S.E.</th>
<th align="center" valign="top">Z</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="bottom">K-nearest neighbor matching</td>
<td align="center" valign="bottom">&#x2212;0.127&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="bottom">0.013</td>
<td align="center" valign="bottom">&#x2212;9.990</td>
<td align="center" valign="bottom">&#x2212;0.861&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="bottom">0.128</td>
<td align="center" valign="bottom">&#x2212;6.720</td>
</tr>
<tr>
<td align="left" valign="bottom">Radius matching</td>
<td align="center" valign="bottom">&#x2212;0.128&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="bottom">0.011</td>
<td align="center" valign="bottom">&#x2212;11.160</td>
<td align="center" valign="bottom">&#x2212;0.936&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="bottom">0.116</td>
<td align="center" valign="bottom">&#x2212;8.070</td>
</tr>
<tr>
<td align="left" valign="bottom">Kernel matching</td>
<td align="center" valign="bottom">&#x2212;0.121&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="bottom">0.012</td>
<td align="center" valign="bottom">&#x2212;10.500</td>
<td align="center" valign="bottom">&#x2212;0.860&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="bottom">0.116</td>
<td align="center" valign="bottom">&#x2212;7.390</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p>&#x002A;<italic>p</italic>&#x202F;&#x003C;&#x202F;0.1, &#x002A;&#x002A;<italic>p</italic>&#x202F;&#x003C;&#x202F;0.05, &#x002A;&#x002A;&#x002A;<italic>p</italic>&#x202F;&#x003C;&#x202F;0.01. Bootstrap has a sample number of 300.</p>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="sec21">
<label>3.3.2</label>
<title>CF results</title>
<p>The PSM method only solves the problem of selective bias caused by observable characteristics, but there may still be endogeneity problems caused by omitted variables or unobservable characteristics. Next, this study employs the control function method to estimate the impact of pension on the participation of older adults in volunteer activities. As shown in <xref ref-type="table" rid="tab4">Table 4</xref>, firstly, the coefficient of the generalized residual (GR) is positive and statistically significant at the 1% level, which suggests that the endogenous issues of pension are well handled. Secondly, the coefficients of pension receipt on voluntary participation behaviors and frequency are-0.572 and-1.584, respectively, supporting the crowding-out effect hypothesis. In addition, the estimated coefficient based on the CF method is greater than that of the benchmark regression model, which shows that the OLS regression underestimates the negative impact of pension insurance on the participation of older adults in volunteer activities.</p>
<table-wrap position="float" id="tab4">
<label>Table 4</label>
<caption>
<p>The impacts of pension on volunteering (CF approach).</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th/>
<th align="center" valign="top">Participation behavior</th>
<th align="center" valign="top">Participation frequency</th>
</tr>
<tr>
<th/>
<th align="center" valign="top">(1)</th>
<th align="center" valign="top">(2)</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top">Pension receipt</td>
<td align="center" valign="top">&#x2212;0.572&#x002A;&#x002A;&#x002A; (0.042)</td>
<td align="center" valign="top">&#x2212;1.584&#x002A;&#x002A;&#x002A; (0.140)</td>
</tr>
<tr>
<td align="left" valign="top">Control variables</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
</tr>
<tr>
<td align="left" valign="top">Generalized residual of first stage</td>
<td align="center" valign="top">0.275&#x002A;&#x002A;&#x002A; (0.036)</td>
<td align="center" valign="top">0.848&#x002A;&#x002A;&#x002A; (0.143)</td>
</tr>
<tr>
<td align="left" valign="top">Constant</td>
<td align="center" valign="top">&#x2212;0.244&#x002A;&#x002A; (0.119)</td>
<td align="center" valign="top">3.010&#x002A;&#x002A;&#x002A; (0.426)</td>
</tr>
<tr>
<td align="left" valign="top">Observations</td>
<td align="center" valign="top">7,606</td>
<td align="center" valign="top">7,606</td>
</tr>
<tr>
<td align="left" valign="top">R-squared</td>
<td align="center" valign="top">-</td>
<td align="center" valign="top">0.103</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p>&#x002A;<italic>p</italic>&#x202F;&#x003C;&#x202F;0.1, &#x002A;&#x002A;<italic>p</italic>&#x202F;&#x003C;&#x202F;0.05, &#x002A;&#x002A;&#x002A;<italic>p</italic>&#x202F;&#x003C;&#x202F;0.01. Robust standard errors are in parentheses.</p>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="sec22">
<label>3.3.3</label>
<title>Heterogeneity analysis</title>
<p>The above analysis indicates that the Urban&#x2013;Rural Resident Social Pension has a significant crowding-out effect on the participation of older adults in voluntary activities. Next, based on the control function method, this study introduces interaction terms to examine the heterogeneous effects of URRSP on older adults&#x2019; volunteering according to region, education, health and income level. The results are shown in <xref ref-type="table" rid="tab5">Table 5</xref>.</p>
<table-wrap position="float" id="tab5">
<label>Table 5</label>
<caption>
<p>Heterogeneity effects of the impacts of pension on volunteering (CF approach).</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th/>
<th align="center" valign="top" colspan="4">Participation behavior</th>
<th align="center" valign="top" colspan="4">Participation frequency</th>
</tr>
<tr>
<th align="left" valign="top">Variables</th>
<th align="center" valign="top">(1)</th>
<th align="center" valign="top">(2)</th>
<th align="center" valign="top">(3)</th>
<th align="center" valign="top">(4)</th>
<th align="center" valign="top">(5)</th>
<th align="center" valign="top">(6)</th>
<th align="center" valign="top">(7)</th>
<th align="center" valign="top">(8)</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="bottom">Pension receipt</td>
<td align="center" valign="bottom">&#x2212;0.575&#x002A;&#x002A;&#x002A; (0.045)</td>
<td align="center" valign="bottom">&#x2212;0.545&#x002A;&#x002A;&#x002A; (0.045)</td>
<td align="center" valign="bottom">&#x2212;0.230&#x002A; (0.121)</td>
<td align="center" valign="bottom">&#x2212;0.653&#x002A;&#x002A;&#x002A; (0.063)</td>
<td align="center" valign="bottom">&#x2212;1.429&#x002A;&#x002A;&#x002A; (0.145)</td>
<td align="center" valign="bottom">&#x2212;1.407&#x002A;&#x002A;&#x002A; (0.150)</td>
<td align="center" valign="bottom">&#x2212;0.501 (0.434)</td>
<td align="center" valign="bottom">&#x2212;1.418&#x002A;&#x002A;&#x002A; (0.197)</td>
</tr>
<tr>
<td align="left" valign="bottom">Urban</td>
<td align="center" valign="bottom">&#x2212;0.018 (0.058)</td>
<td/>
<td/>
<td/>
<td align="center" valign="bottom">0.060 (0.226)</td>
<td/>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="bottom">Pension&#x00D7;Urban</td>
<td align="center" valign="bottom">0.015 (0.073)</td>
<td/>
<td/>
<td/>
<td align="center" valign="bottom">&#x2212;0.685&#x002A;&#x002A; (0.267)</td>
<td/>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="bottom">Middle school and above</td>
<td/>
<td align="center" valign="bottom">0.260&#x002A;&#x002A;&#x002A; (0.060)</td>
<td/>
<td/>
<td/>
<td align="center" valign="bottom">0.999&#x002A;&#x002A;&#x002A; (0.233)</td>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="bottom">Pension&#x00D7;Middle School</td>
<td/>
<td align="center" valign="bottom">&#x2212;0.128&#x002A; (0.077)</td>
<td/>
<td/>
<td/>
<td align="center" valign="bottom">&#x2212;0.874&#x002A;&#x002A;&#x002A; (0.279)</td>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="bottom">Health</td>
<td/>
<td/>
<td align="center" valign="bottom">0.060&#x002A;&#x002A; (0.028)</td>
<td/>
<td/>
<td/>
<td align="center" valign="bottom">0.128 (0.105)</td>
<td/>
</tr>
<tr>
<td align="left" valign="bottom">Pension&#x00D7;Health</td>
<td/>
<td/>
<td align="center" valign="bottom">&#x2212;0.105&#x002A;&#x002A;&#x002A; (0.035)</td>
<td/>
<td/>
<td/>
<td align="center" valign="bottom">&#x2212;0.334&#x002A;&#x002A;&#x002A; (0.128)</td>
<td/>
</tr>
<tr>
<td align="left" valign="bottom">Low-income group</td>
<td/>
<td/>
<td/>
<td align="center" valign="bottom">&#x2212;0.498&#x002A;&#x002A;&#x002A; (0.075)</td>
<td/>
<td/>
<td/>
<td align="center" valign="bottom">&#x2212;1.538&#x002A;&#x002A;&#x002A; (0.205)</td>
</tr>
<tr>
<td align="left" valign="bottom">High-income group</td>
<td/>
<td/>
<td/>
<td align="center" valign="bottom">0.301&#x002A;&#x002A;&#x002A; (0.070)</td>
<td/>
<td/>
<td/>
<td align="center" valign="bottom">1.746&#x002A;&#x002A;&#x002A; (0.270)</td>
</tr>
<tr>
<td align="left" valign="bottom">Income: Missing</td>
<td/>
<td/>
<td/>
<td align="center" valign="bottom">0.216&#x002A;&#x002A;&#x002A; (0.066)</td>
<td/>
<td/>
<td/>
<td align="center" valign="bottom">1.729&#x002A;&#x002A;&#x002A; (0.253)</td>
</tr>
<tr>
<td align="left" valign="bottom">Pension&#x00D7;Low-income</td>
<td/>
<td/>
<td/>
<td align="center" valign="bottom">0.370&#x002A;&#x002A;&#x002A; (0.095)</td>
<td/>
<td/>
<td/>
<td align="center" valign="bottom">0.956&#x002A;&#x002A;&#x002A; (0.252)</td>
</tr>
<tr>
<td align="left" valign="bottom">Pension&#x00D7;High-income</td>
<td/>
<td/>
<td/>
<td align="center" valign="bottom">&#x2212;0.100 (0.086)</td>
<td/>
<td/>
<td/>
<td align="center" valign="bottom">&#x2212;1.275&#x002A;&#x002A;&#x002A; (0.309)</td>
</tr>
<tr>
<td align="left" valign="bottom">Pension&#x00D7;Missing</td>
<td/>
<td/>
<td/>
<td align="center" valign="bottom">0.101 (0.085)</td>
<td/>
<td/>
<td/>
<td align="center" valign="bottom">&#x2212;0.560&#x002A; (0.321)</td>
</tr>
<tr>
<td align="left" valign="bottom">Control variables</td>
<td align="center" valign="bottom">Yes</td>
<td align="center" valign="bottom">Yes</td>
<td align="center" valign="bottom">Yes</td>
<td align="center" valign="bottom">Yes</td>
<td align="center" valign="bottom">Yes</td>
<td align="center" valign="bottom">Yes</td>
<td align="center" valign="bottom">Yes</td>
<td align="center" valign="bottom">Yes</td>
</tr>
<tr>
<td align="left" valign="bottom">Generalized Residual of first stage</td>
<td align="center" valign="bottom">0.275&#x002A;&#x002A;&#x002A; (0.036)</td>
<td align="center" valign="bottom">0.276&#x002A;&#x002A;&#x002A; (0.036)</td>
<td align="center" valign="bottom">0.280&#x002A;&#x002A;&#x002A; (0.036)</td>
<td align="center" valign="bottom">0.291&#x002A;&#x002A;&#x002A; (0.036)</td>
<td align="center" valign="bottom">0.862&#x002A;&#x002A;&#x002A; (0.143)</td>
<td align="center" valign="bottom">0.850&#x002A;&#x002A;&#x002A; (0.142)</td>
<td align="center" valign="bottom">0.864&#x002A;&#x002A;&#x002A; (0.143)</td>
<td align="center" valign="bottom">0.958&#x002A;&#x002A;&#x002A; (0.144)</td>
</tr>
<tr>
<td align="left" valign="bottom">Observations</td>
<td align="center" valign="bottom">7,606</td>
<td align="center" valign="bottom">7,606</td>
<td align="center" valign="bottom">7,606</td>
<td align="center" valign="bottom">7,606</td>
<td align="center" valign="bottom">7,606</td>
<td align="center" valign="bottom">7,606</td>
<td align="center" valign="bottom">7,606</td>
<td align="center" valign="bottom">7,606</td>
</tr>
<tr>
<td align="left" valign="bottom">R-squared</td>
<td align="center" valign="bottom">-</td>
<td align="center" valign="bottom">-</td>
<td align="center" valign="bottom">-</td>
<td align="center" valign="bottom">-</td>
<td align="center" valign="bottom">0.104</td>
<td align="center" valign="bottom">0.105</td>
<td align="center" valign="bottom">0.104</td>
<td align="center" valign="bottom">0.109</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p>&#x002A;<italic>p</italic>&#x202F;&#x003C;&#x202F;0.1, &#x002A;&#x002A;<italic>p</italic>&#x202F;&#x003C;&#x202F;0.05, &#x002A;&#x002A;&#x002A;<italic>p</italic>&#x202F;&#x003C;&#x202F;0.01. Middle income is the reference group. Robust standard errors are in parentheses.</p>
</table-wrap-foot>
</table-wrap>
<p>The results in <xref ref-type="table" rid="tab5">Table 5</xref> again show that a crowding out tendency with older adults&#x2019; volunteering. More importantly, the results also demonstrate that public pension do not affect all individuals equally. From an urban&#x2013;rural perspective, the results in Model (1) show that the interaction term between pension and urban residence is not significant, meaning there is no significant urban&#x2013;rural difference in the likelihood of participation in volunteer activities. However, the results in Model (5) show that the interaction term coefficient is significantly negative, indicating that the negative impact of pension on volunteer participation frequency is significantly higher in urban areas than in rural areas. In other words, the crowding-out effect is significantly stronger among older adults living in urban areas compared to those living in rural areas.</p>
<p>From the perspective of educational differences, the results of Model (2) and Model (6) in <xref ref-type="table" rid="tab5">Table 5</xref> show that the coefficient of interaction term <italic>Pension&#x00D7;Middle School</italic> is significantly negative. This indicates that the adverse impact of pension on volunteering participation is significantly stronger among older individuals with higher educational attainment compared to those with lower educational levels.</p>
<p>From the perspective of health differences, the results of Model (3) in <xref ref-type="table" rid="tab5">Table 5</xref> indicate that the interaction term between pension and health status is negatively associated with volunteering. This suggests that the negative impact of pension on the likelihood of volunteering participation is significantly stronger among healthier older individuals compared to their less healthy counterparts. Furthermore, as shown in Model (7), while the main coefficient of pension is negative but not significant, the interaction term is significantly negative. This implies that the crowding-out effect of pension on volunteering frequency is primarily observed among older individuals with higher health capital.</p>
<p>From the perspective of income levels, the results of Model (4) and Model (8) in <xref ref-type="table" rid="tab5">Table 5</xref> show that the coefficient of interaction term <italic>Pension&#x00D7;Low-income</italic> is significantly positive. This indicates that, compared to the middle-income group, the crowding-out effect of pension on volunteering participation is weaker among older adults with low levels of income. Conversely, the interaction term <italic>Pension&#x00D7;High-income</italic> is positively associated with volunteering, suggesting a stronger crowding-out effect for older adults with high levels of income. Thus, the crowding-out effect of pension increases with rising income levels. It is important to note that for the low-income group, the coefficient for the effect of pension on volunteering is-0.473 (&#x2212;1.418&#x202F;+&#x202F;0.945), which aligns with the crowding-out hypothesis. The above findings indicate that, within the context of China, the limited benefits provided by URRSP fail to generate an income effect sufficient to promote volunteering participation among all older individuals.</p>
<p>In conclusion, within China&#x2019;s stratified social insurance system, the URRSP with the lowest benefit levels exerts a generally negative effect on community volunteering among older adults, supporting the crowding-out hypothesis. Notably, this crowding-out effect is more pronounced among older individuals with higher economic capital, human capital, and health capital.</p>
</sec>
</sec>
</sec>
<sec sec-type="discussion" id="sec23">
<label>4</label>
<title>Discussion</title>
<p>As the largest developing country, China has established the world&#x2019;s largest social pension system in terms of coverage over the past few decades. However, this system exhibits distinct stratification, with significant disparities in benefits across different pension schemes, exacerbating income inequality among older adults. Among these, the Urban&#x2013;Rural Resident Social Pension is at the bottom of the stratified pension system, covering the widest population but providing the lowest pension income, far below that of the other two types of public pension schemes (i.e., the GIP and the EEBP). In this context, this study focuses on the impact of the URRSP on volunteering participation among older adults and the heterogeneity of its effects.</p>
<p>Firstly, our study reveals that, overall, the Urban&#x2013;Rural Resident Social Pension has a significant negative effect on the participation of older adults in community volunteering, supporting the crowding-out hypothesis. This can be attributed to several factors. On one hand, the benefits provided by the URRSP are limited and cannot cover the basic living standards, thus failing to exert the income effect. Under such circumstances, older adults still need to work to support themselves, lacking both financial resources and free time to engage in volunteer activities (<xref ref-type="bibr" rid="ref24">24</xref>). On the other hand, the income inequality intensified by the stratified pension system undermines the foundation of trust, amplifies perceived cultural distance, and erodes the norms of mutual assistance. These factors collectively diminish the motivation of older individuals to participate in volunteering activities (<xref ref-type="bibr" rid="ref20">20</xref>, <xref ref-type="bibr" rid="ref33">33</xref>). Additionally, as a poverty alleviation policy, the URRSP primarily targets populations without non-agricultural employment, which can lead to a welfare stigma effect. This diminishes beneficiaries&#x2019; perceived fairness, reducing their willingness to engage in volunteering (<xref ref-type="bibr" rid="ref34">34</xref>).</p>
<p>Secondly, our study also finds that the crowding-out effect of the URRSP varies across different social groups. Specifically, the crowding-out effect on volunteer participation is significantly stronger among older individuals with higher socio-economic status (i.e., those with highly educated, healthy, and wealthy) compared to those with lower socio-economic status. Scholars have argued that we should not assume that welfare policies have the same impact on all groups (<xref ref-type="bibr" rid="ref9">9</xref>). In general, participation in volunteer activities requires individuals to incur costs, while the benefits of volunteering are mainly immaterial, such as helping others and self-fulfillment (<xref ref-type="bibr" rid="ref35">35</xref>). For higher social class, they not only have the economic resources and free time required to engage in volunteer activities, but they are also more motivated by the non-material rewards that such activities bring. As a result, they are more inclined to participate in volunteering (<xref ref-type="bibr" rid="ref36">36</xref>). In liberal states with insufficient welfare support, privileged groups are motivated by altruism and moral obligation to help economically disadvantaged groups by offering private assistance and social support (<xref ref-type="bibr" rid="ref37">37</xref>). However, when the state establishes basic pension systems and provides individuals with living security, this weakens the moral obligations and social responsibility of privileged groups, thus reducing their engagement in altruistic volunteer activities (<xref ref-type="bibr" rid="ref17">17</xref>). Therefore, the establishment of social pensions has a stronger crowding-out effect on the volunteer participation of older adults in higher socio-economic groups. In contrast, for lower social classes, participation in social pension schemes can provide economic resources and reduce financial burdens, thereby enhancing their ability to engage in volunteer activities. Moreover, existing studies have shown that disadvantaged older individuals benefit more from community activities, such as improved health and lower risks of depression (<xref ref-type="bibr" rid="ref4">4</xref>). As a result, the impact of social pension on the volunteer participation of lower socio-economic groups is not substantial, and may even have a positive effect.</p>
<p>Finally, due to data limitations, this study cannot identify the specific mechanisms through which social pension influence participation in volunteer activities. However, we can infer potential mechanisms by combining our findings with existing research. Most cross-national studies based on developed countries find that state welfare policies have a &#x201C;crowding-in&#x201D; effect on volunteering, and this effect is believed to be driven by two mechanisms: the resource mechanism and the cultural mechanism (<xref ref-type="bibr" rid="ref11">11</xref>). Specifically, generous welfare policies not only provide economic resources and income security for volunteering, but they also foster a culture of mutual help, which in turn promotes citizen involvement in volunteer activities. The resource mechanism applies only to the beneficiaries of welfare policies, while the cultural mechanism affects all groups. Unlike findings from studies in developed countries, the crowding-out effect identified in this study suggests that the limited income provided by the URRSP fails to promote older adults&#x2019; volunteering participation through the resource mechanism. Furthermore, the universality of this crowding-out effect across all older individuals implies the operation of a cultural mechanism. Put differently, the stratified pension system and the income inequality it engenders undermine cultural norms of solidarity, equality, and justice that foster pro-social attitudes, which in turn suppress the participation of older adults in community volunteering (<xref ref-type="bibr" rid="ref38">38</xref>).</p>
</sec>
<sec id="sec24">
<label>5</label>
<title>Conclusion and policy implications</title>
<p>According to the strategic initiative of active aging, governments in developing countries worldwide are committed to establishing social security systems, especially pension system, to address the aging risks associated with industrial development. However, whether the establishment of social safety nets, as a formal welfare system, negatively impacts informal risk-sharing systems based on reciprocity&#x2014;such as community volunteering&#x2014;remains a subject of debate. This study uses data from the 2018 China Longitudinal Aging Social Survey and employs propensity score matching and control function methods to estimate the causal effect of the Urban&#x2013;Rural Resident Social Pension on the participation of older adults in community volunteering. Our results show that, overall, participation in the URRSP has a significant negative effect on community volunteering among older adults, which supports the crowding-out hypothesis. This finding holds even after addressing issues such as selection bias and omitted variables. Furthermore, for older adults with higher socioeconomic status, the crowding-out effect of pension on volunteering would be stronger.</p>
<p>The findings of this study confirm the crowding-out hypothesis and provide some policy implications for promoting older adults&#x2019; volunteering to achieve active aging. Given that most studies suggest generous and universal welfare policies can enhance older adults&#x2019; social participation, including volunteer engagement (<xref ref-type="bibr" rid="ref11">11</xref>), the Chinese government should increase fiscal subsidies to raise pension levels of the URRSP and reduce income disparities across different pension schemes. This approach would help promote community volunteering participation among older adults. Additionally, the government should allocate more resources to volunteer activities in urban and rural communities, establishing institutional safeguards and organizational support to encourage older adults&#x2019; active engagement in volunteering. Ultimately, these efforts would contribute to achieving the strategic goal of active aging.</p>
<p>However, this study has several limitations that warrant further research. First, as it relies on cross-sectional data from the 2018 CLASS survey, it cannot fully address the potential issue of reverse causality. Therefore, future research should employ longitudinal data to enhance the robustness of causality. Second, this study focuses solely on the URRSP and does not compare its impact with other pension schemes in China, such as the Enterprise Employee Basic Pension (EEBP) or the Government and Institution Pension (GIP). Examining the differential effects of various types of pension programs on older adults&#x2019; volunteering within a stratified social security system is a meaningful research question that requires further analysis. Finally, given the crucial role of cultural and social norms in shaping volunteering (<xref ref-type="bibr" rid="ref39">39</xref>), future research should investigate the relationship between public pensions and older adults&#x2019; volunteering across different cultural and institutional contexts.</p>
</sec>
</body>
<back>
<sec sec-type="data-availability" id="sec25">
<title>Data availability statement</title>
<p>Publicly available datasets were analyzed in this study. This data can be found here: <ext-link xlink:href="http://class.ruc.edu.cn/index.htm" ext-link-type="uri">http://class.ruc.edu.cn/index.htm</ext-link>.</p>
</sec>
<sec sec-type="ethics-statement" id="sec26">
<title>Ethics statement</title>
<p>Ethical approval was not required for the study involving humans in accordance with the local legislation and institutional requirements. Written informed consent to participate in this study was not required from the participants or the participants&#x2019; legal guardians/next of kin in accordance with the national legislation and the institutional requirements.</p>
</sec>
<sec sec-type="author-contributions" id="sec27">
<title>Author contributions</title>
<p>Z-YL: Conceptualization, Funding acquisition, Methodology, Supervision, Writing &#x2013; original draft. Y-YT: Data curation, Formal analysis, Software, Writing &#x2013; original draft. H-LY: Methodology, Supervision, Validation, Writing &#x2013; review &#x0026; editing. L-LT: Data curation, Methodology, Validation, Visualization, Writing &#x2013; original draft.</p>
</sec>
<sec sec-type="funding-information" id="sec28">
<title>Funding</title>
<p>The author(s) declare that financial support was received for the research and/or publication of this article. This study was supported by the National Social Science Fund of China (24CRK017) and the Fund of Shandong Province Humanities and Social Sciences Cooperation Project (24H059Z).</p>
</sec>
<sec sec-type="COI-statement" id="sec29">
<title>Conflict of interest</title>
<p>The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec sec-type="ai-statement" id="sec30">
<title>Generative AI statement</title>
<p>The author(s) declare that no Gen AI was used in the creation of this manuscript.</p>
</sec>
<sec sec-type="disclaimer" id="sec31">
<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>
<fn-group>
<fn id="fn0001"><p><sup>1</sup>However, the pension program offers an alternative form of risk sharing, which may weaken demand for social networking function of collective recreational activities and therefore lower realized participation in such activities. Second, altruistic activities involve providing social supports to those in need, partly in exchange for informal insurance against future risks.</p></fn>
<fn id="fn0002"><p><sup>2</sup>There are many missing values in the income variable, accounting for 23.4%. In order to preserve the sample information, this article retains the samples with missing income variables and divides them into a separate category.</p></fn>
</fn-group>
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