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<journal-id journal-id-type="publisher-id">Front. Psychiatry</journal-id>
<journal-title-group>
<journal-title>Frontiers in Psychiatry</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Psychiatry</abbrev-journal-title>
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<issn pub-type="epub">1664-0640</issn>
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<publisher-name>Frontiers Media S.A.</publisher-name>
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<article-meta>
<article-id pub-id-type="doi">10.3389/fpsyt.2026.1775775</article-id>
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<article-categories>
<subj-group subj-group-type="heading">
<subject>Original Research</subject>
</subj-group>
</article-categories>
<title-group>
<article-title>The relationship between family adaptability and cohesion and adolescent depression: the chain mediation effect of perceived social support and coping styles</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" equal-contrib="yes">
<name><surname>Li</surname><given-names>Jiuju</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<xref ref-type="author-notes" rid="fn003"><sup>&#x2020;</sup></xref>
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<contrib contrib-type="author" equal-contrib="yes">
<name><surname>Chen</surname><given-names>Xinyue</given-names></name>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
<xref ref-type="author-notes" rid="fn003"><sup>&#x2020;</sup></xref>
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<contrib contrib-type="author">
<name><surname>Zhang</surname><given-names>Zixuan</given-names></name>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
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<contrib contrib-type="author">
<name><surname>Zhao</surname><given-names>Jiale</given-names></name>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
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<contrib contrib-type="author">
<name><surname>Ai</surname><given-names>Libo</given-names></name>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
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</contrib>
<contrib contrib-type="author">
<name><surname>Zhang</surname><given-names>Ying</given-names></name>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
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<name><surname>Li</surname><given-names>Li</given-names></name>
<xref ref-type="aff" rid="aff3"><sup>3</sup></xref>
<xref ref-type="corresp" rid="c001"><sup>*</sup></xref>
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<contrib contrib-type="author" corresp="yes">
<name><surname>Wang</surname><given-names>Ruixin</given-names></name>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
<xref ref-type="corresp" rid="c001"><sup>*</sup></xref>
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<aff id="aff1"><label>1</label><institution>Beijing Huilongguan Hospital, Capital Medical University</institution>, <city>Beijing</city>, <country country="cn">China</country></aff>
<aff id="aff2"><label>2</label><institution>School of Psychology and Mental Health, North China University of Science and Technology</institution>, <city>Tangshan</city>, <country country="cn">China</country></aff>
<aff id="aff3"><label>3</label><institution>Nursing Department, Shanghai Mental Health Center</institution>, <city>Shanghai</city>, <country country="cn">China</country></aff>
<author-notes>
<corresp id="c001"><label>*</label>Correspondence: Li Li, <email xlink:href="mailto:sunbook_2001@126.com">sunbook_2001@126.com</email>; Ruixin Wang, <email xlink:href="mailto:ruixinwangeml@163.com">ruixinwangeml@163.com</email></corresp>
<fn fn-type="equal" id="fn003">
<p>&#x2020;These authors have contributed equally to this work and share first authorship</p></fn>
</author-notes>
<pub-date publication-format="electronic" date-type="pub" iso-8601-date="2026-02-20">
<day>20</day>
<month>02</month>
<year>2026</year>
</pub-date>
<pub-date publication-format="electronic" date-type="collection">
<year>2026</year>
</pub-date>
<volume>17</volume>
<elocation-id>1775775</elocation-id>
<history>
<date date-type="received">
<day>26</day>
<month>12</month>
<year>2025</year>
</date>
<date date-type="accepted">
<day>04</day>
<month>02</month>
<year>2026</year>
</date>
<date date-type="rev-recd">
<day>01</day>
<month>02</month>
<year>2026</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2026 Li, Chen, Zhang, Zhao, Ai, Zhang, Li and Wang.</copyright-statement>
<copyright-year>2026</copyright-year>
<copyright-holder>Li, Chen, Zhang, Zhao, Ai, Zhang, Li and Wang</copyright-holder>
<license>
<ali:license_ref start_date="2026-02-20">https://creativecommons.org/licenses/by/4.0/</ali:license_ref>
<license-p>This is an open-access article distributed under the terms of the <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">Creative Commons Attribution License (CC BY)</ext-link>. The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</license-p>
</license>
</permissions>
<abstract>
<sec>
<title>Purpose</title>
<p>The research aims to investigate the relationship between family adaptability and cohesion and adolescent depression by constructing a chain mediation model to examine the mediating role of perceived social support and coping styles.</p>
</sec>
<sec>
<title>Participants and methods</title>
<p>This study surveyed 1,931 middle school students using the Family Adaptability and Cohesion Evaluation Scale (FACES II-CV), the Perceived Social Support Scale (PSSS), the Simple Coping Style Questionnaire (SCSQ), and the Patient Health Questionnaire-9 (PHQ-9). Data were analyzed with SPSS 26.0, including tests for common method bias, descriptive statistics, and correlation analysis. The chain mediation model was tested using the PROCESS macro program.</p>
</sec>
<sec>
<title>Results</title>
<p>Family adaptability and cohesion, perceived social support, and positive coping styles all showed significant negative correlations with adolescent depression, while negative coping styles exhibited a positive association with depression. Furthermore, family adaptability and cohesion not only have a direct impact on adolescent depression, but also exert indirect effects through the separate mediating roles of perceived social support, positive and negative coping, as well as through the chain mediation of &#x201c;perceived social support &#x2192; positive/negative coping styles.&#x201d; Among these pathways, the two chain mediation paths (Family adaptability and cohesion &#x2192; Perceived social support (PSS) &#x2192; Positive coping styles &#x2192; Depression; Family adaptability and cohesion &#x2192; Perceived social support (PSS) &#x2192; Negative coping styles &#x2192; Depression) accounted for 21.43% and 7.14% of the total effect, respectively.</p>
</sec>
<sec>
<title>Conclusion</title>
<p>This study clarifies the relationship between family adaptability and cohesion, PSS, coping styles, and adolescent depression, emphasizing the indirect influence of family adaptability and cohesion on adolescent depression through PSS, positive coping, and negative coping styles. To a certain extent, it offers evidence and theoretical guidance for mitigating and treating adolescent depression.</p>
</sec>
</abstract>
<kwd-group>
<kwd>adolescent</kwd>
<kwd>coping styles</kwd>
<kwd>depression</kwd>
<kwd>family adaptability and cohesion</kwd>
<kwd>perceived social support</kwd>
</kwd-group>
<funding-group>
<funding-statement>The author(s) declared that financial support was received for this work and/or its publication. The author(s) declare financial support was received for the research and/or publication of this article. This research was funded by Beijing Municipal Hospitals Research Cultivation Program: A Study on the Efficacy and Neural Mechanisms of Metacognitive Therapy for Adolescents with Depression (grant number: PX2025068) and the National Center for Mental Health and Psychiatric Prevention and Control&#x200c;: A Survey on the Current Status of Family Care and Social Support for Adolescents with Mental Disorders in China.</funding-statement>
</funding-group>
<counts>
<fig-count count="3"/>
<table-count count="6"/>
<equation-count count="1"/>
<ref-count count="62"/>
<page-count count="12"/>
<word-count count="6758"/>
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<custom-meta-group>
<custom-meta>
<meta-name>section-at-acceptance</meta-name>
<meta-value>Social Psychiatry and Psychiatric Rehabilitation</meta-value>
</custom-meta>
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</front>
<body>
<sec id="s1" sec-type="intro">
<title>Introduction</title>
<p>Depression is one of the key criteria for assessing an individual&#x2019;s mental health status, specifically manifested as persistent negative emotional experiences in daily life (<xref ref-type="bibr" rid="B1">1</xref>). Currently, depression has become one of the most prevalent mental illnesses worldwide, with the adolescent demographic warranting particular attention. According to statistics, the global prevalence of depression among adolescents stands at 8%. Meanwhile, the current detection rate of depression among adolescents in China reaches 28.4%, which is notably higher than the international average (<xref ref-type="bibr" rid="B2">2</xref>). These figures highlight the severity of adolescent depression in China, underscoring the urgency of addressing this issue. The initial teenage years is a pivotal phase for the emergence of depressive symptoms (<xref ref-type="bibr" rid="B3">3</xref>). Adolescents are more prone to various emotional problems, including depression, due to their immature physical and mental development and the many social development tasks they face (<xref ref-type="bibr" rid="B4">4</xref>). Depression places a heavy burden on individuals, society, and the economy during this critical period of life transition. It not only triggers issues such as substance use, sleep disturbances, and eating problems among adolescents, but also brings great psychological distress, severely undermining their quality of life, and even leads to self-harm and suicidal behaviors, increasing the risk of lifelong physical and mental health damage in adolescents (<xref ref-type="bibr" rid="B5">5</xref>). Therefore, it is crucial to conduct in-depth research on the factors influencing adolescent depression symptoms and their mechanisms of action, identify protective factors that can reduce the occurrence of depression symptoms at an early stage, and take timely intervention measures.</p>
<sec id="s1_1">
<title>The impact of family adaptability and cohesion on symptoms of depression</title>
<p>The concepts of family adaptability and cohesion were first proposed by Olson and his research team in 1979, based on Bowen&#x2019;s family systems theory. Family cohesion reflects the closeness of emotional connections between members, while adaptability concerns the capacity of a family system to modify itself in reaction to challenges encountered across various phases of family growth and diverse familial contexts (<xref ref-type="bibr" rid="B6">6</xref>). These two variables can be used to assess the health and stability of a family, measure the strength of relationships between family members, and evaluate their ability to cope with challenges. The circumplex model theory of family functions proposes that balanced family cohesion is most conducive to mental health (<xref ref-type="bibr" rid="B7">7</xref>). For adolescents, insufficient family cohesion may increase the risk of emotional neglect, whereas excessive closeness may inhibit individual autonomy. Both factors are associated with higher levels of depression and ultimately contribute to depressive tendencies. Families with higher scores in adaptability and cohesion, on the one hand, provide adolescents with a sense of security, reducing feelings of loneliness and helplessness, thereby buffering depressive emotions. On the other hand, close family relationships are often correlated with more effective stress coping abilities, both of which collectively serve as protective factors against depression risk. Conversely, lower scores indicate poor family functioning, which may involve family conflicts, emotional detachment, or excessive control. These conditions are often linked to higher tendencies of self-blame and feelings of worthlessness in adolescents, thereby increasing vulnerability to depression. Empirical research also indicates that family conflict and intimacy are important predictors of adolescent mental health. Adolescents with higher family cohesion are less likely to develop depressive or other internalizing issues (<xref ref-type="bibr" rid="B8">8</xref>).</p>
<p>Therefore, we propose hypothesis H1: Family adaptability and cohesion negatively predict adolescent depression.</p>
</sec>
<sec id="s1_2">
<title>The mediating effect of PSS</title>
<p>The social support perceived by an individual means the individuals&#x2019; satisfaction with the degree of support they receive from society and individuals&#x2019; expectations about the social support they are likely to receive (<xref ref-type="bibr" rid="B9">9</xref>). This expectation often begins in the family environment, because the family is an important place for individuals&#x2019; physical and mental development. This is particularly important for young people, whose family is their main source of material and emotional support. Family Systems Theory suggests that high-cohesion families can provide a stable support network, with family members internalizing this supportive experience and generalizing it to other social relationships (<xref ref-type="bibr" rid="B10">10</xref>). This theoretical perspective is supported by empirical research, and many studies have clearly shown that there is a significant positive correlation between family cohesion and PSS (<xref ref-type="bibr" rid="B11">11</xref>, <xref ref-type="bibr" rid="B12">12</xref>). For adolescents in the critical period of psychological development, their perception of social support is profoundly influenced by the family environment. Studies have shown that adolescents from families with higher cohesion tend to exhibit greater PSS compared to their peers from less intimate family settings (<xref ref-type="bibr" rid="B13">13</xref>), thereby experiencing more positive and healthy emotions. In highly cohesive families, members can rely on available social support (<xref ref-type="bibr" rid="B14">14</xref>). Meanwhile, the main effect model of social support (<xref ref-type="bibr" rid="B15">15</xref>) further indicates that PSS is associated with lower levels of negative emotional states. Previous research has confirmed a significant negative correlation between PSS and depression among adolescents (<xref ref-type="bibr" rid="B16">16</xref>), suggesting that stronger perception of social support corresponds to greater experienced support and lower susceptibility to depressive emotions (<xref ref-type="bibr" rid="B17">17</xref>). Furthermore, a longitudinal study also found that among adolescents with lower family relationship quality, their internal cognition and emotional experiences are more negative, their perceived level of social support is lower, and they also exhibit a higher tendency toward depression (<xref ref-type="bibr" rid="B18">18</xref>).</p>
<p>Therefore, we propose hypothesis H2: PSS mediates the relationship between family adaptability and cohesion and adolescent depression.</p>
</sec>
<sec id="s1_3">
<title>The mediating effect of coping styles</title>
<p>Coping styles refer to a series of strategies that individuals adopt in order to adapt to the needs of the new environment when facing pressure and external events (<xref ref-type="bibr" rid="B19">19</xref>). The interaction theory of coping styles emphasizes that stress coping is a dynamic, ongoing process of interaction between the individual and the environment, with strategies changing according to situational demands and the individual&#x2019;s state (<xref ref-type="bibr" rid="B20">20</xref>). As the family environment serves as the most fundamental and enduring contextual factor in adolescent growth and development, adolescents&#x2019; coping styles are likely closely associated with their family surroundings. A study on adolescent mental health intervention indicates that the effectiveness of intervention measures in improving adolescents&#x2019; internalizing problems is partially achieved by promoting positive parenting behaviors and enhancing adolescents&#x2019; positive coping strategies (<xref ref-type="bibr" rid="B21">21</xref>). Specifically, higher levels of family adaptability and cohesion are associated with a greater tendency among adolescents to employ positive coping styles (<xref ref-type="bibr" rid="B22">22</xref>). Conversely, when families lack emotional connection, adolescents may feel isolated and unsupported, making them more prone to adopt negative coping strategies. Coping style is an important dimension for understanding adolescent depression. Cognitive theory of depression (<xref ref-type="bibr" rid="B23">23</xref>) posits that the coping strategies individuals adopt in response to stress are closely linked to their mental health status. Research has shown a significant positive correlation between negative coping styles and depression (<xref ref-type="bibr" rid="B24">24</xref>), with negative coping being associated with more negative emotional experiences, whereas positive coping is related to better psychological adjustment (<xref ref-type="bibr" rid="B25">25</xref>). For example, in stressful situations, adolescents who use positive coping strategies can more effectively mitigate the adverse emotions caused by negative events, thereby enhancing their subjective well-being (<xref ref-type="bibr" rid="B26">26</xref>). Thus, a family environment characterized by higher cohesion and adaptability may encourage adolescents to adopt more positive coping strategies, which aids in emotion regulation and is associated with lower levels of depression. In contrast, adolescents from families with lower cohesion are more inclined to use negative coping strategies, potentially increasing the occurrence of negative emotions and elevating the risk of depression.</p>
<p>Therefore, we propose hypothesis H3: coping styles mediate the relationship between family adaptability and cohesion and adolescent depression.</p>
</sec>
<sec id="s1_4">
<title>The chain mediating effect of PSS and coping styles</title>
<p>PSS reflects their close connection with all aspects of society. Coping styles refer to the cognitive or behavioral strategies that individuals use to regulate emotions or solve problems when facing stressful events. The buffering model suggests that social support primarily serves as a &#x201c;buffer&#x201d; when individuals face high levels of stress, prompting them to adopt more adaptive coping styles to address stressful situations (<xref ref-type="bibr" rid="B15">15</xref>). This reduces the negative emotional impact of stress, such as anxiety, and improves mental health. Adolescents with a higher sense of support are more likely to choose positive coping styles, while those who feel they lack social support are more likely to choose negative coping styles. Research has shown that when adolescents perceived adequate social support, they were more likely to get practical help and emotional comfort from their social circles. This made them more likely to respond to stress and challenges in a proactive manner (<xref ref-type="bibr" rid="B27">27</xref>). In such cases, they typically experience fewer negative emotions. Conversely, adolescents with lower PSS often feel helpless and tend to resort to negative coping strategies (<xref ref-type="bibr" rid="B28">28</xref>), a pattern commonly associated with higher levels of depression. Therefore, according to the buffer model, the family as the primary source of support means that family cohesion is closely related to adolescents&#x2019; subjective perception of social support quality (<xref ref-type="bibr" rid="B29">29</xref>). High family cohesion is often accompanied by greater PSS, which in turn promotes the use of positive coping strategies, leading to better emotional regulation outcomes and lower levels of depression. In contrast, adolescents from low-cohesion families tend to perceive less social support, making them more likely to adopt negative coping strategies, which in turn is linked to a higher risk of depression.</p>
<p>Therefore, we propose hypothesis H4: PSS and coping styles play a chain mediating role in the influence of family adaptability and cohesion on adolescent depression.</p>
</sec>
<sec id="s1_5">
<title>Theoretical framework</title>
<p>Based on Family Systems Theory, the Social Support Buffering Model, and the Cognitive Theory of Depression, this study constructed an integrated chain mediation model to systematically elucidate the sequential mechanisms through which the family environment influences adolescent depression. First, this research incorporates two core dimensions of family functioning&#x2014;family cohesion and family adaptability&#x2014;into the predictive model as key variables for adolescent depression. This integrated perspective enables a more comprehensive and systematic assessment of the impact of the family environment on adolescent mental health compared to previous studies. Second, whereas prior research on the relationship between family functioning and adolescent depression has predominantly focused on examining single mediation pathways (<xref ref-type="bibr" rid="B30">30</xref>), this study integrates two mediation pathways based on the Buffering Model, constructing a sequential mediation model of &#x201c;family adaptability and cohesion &#x2192; PSS &#x2192; coping styles &#x2192; adolescent depression.&#x201d; This model reveals the continuous mechanism by which the family environment shapes individual behavioral strategies through social cognition, thereby affecting psychological well-being. This finding deepens our understanding of the internal mechanisms through which family functioning influences adolescent depression, integrating previously fragmented findings into a more systematic and dynamic theoretical framework, thereby offering new directions and insights for future research. Finally, in terms of research perspective, unlike previous studies that approached the causes of adolescent depression from a single perspective&#x2014;whether individual, family, or social&#x2014;this study organically integrates factors from the family, social, and individual levels, systematically examining their combined and interactive effects (<xref ref-type="bibr" rid="B31">31</xref>&#x2013;<xref ref-type="bibr" rid="B33">33</xref>). This approach provides a more comprehensive understanding of the formation mechanisms of adolescent depression and offers a stronger theoretical foundation for subsequent intervention and practical applications.</p>
<p>Furthermore, while focusing on the core variables, this study also considered potentially relevant demographic variables. Existing research has indicated that demographic factors such as student gender, primary caregiver&#x2019;s gender, and their educational level may be associated with family resources, parenting styles, and the level of attention given to mental health, thereby potentially influencing the psychological development environment and emotional state of adolescents (<xref ref-type="bibr" rid="B34">34</xref>, <xref ref-type="bibr" rid="B35">35</xref>). Therefore, in order to more clearly reveal the intrinsic relationships among family adaptability and cohesion, PSS, coping styles, and depression, this study controlled demographic variables in the subsequent mediation effect analyses.</p>
<p>Overall, the purpose of this study is to explore the association between family adaptability and cohesion and depression. This study also examines the chain-mediated role of PSS and coping styles between family adaptability and cohesion and depression. The theoretical framework of this study is shown in <xref ref-type="fig" rid="f1"><bold>Figure&#xa0;1</bold></xref>.</p>
<fig id="f1" position="float">
<label>Figure&#xa0;1</label>
<caption>
<p>Theoretical model.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fpsyt-17-1775775-g001.tif">
<alt-text content-type="machine-generated">Conceptual diagram showing directional relationships: family adaptability and cohesion influence perceived social support, coping styles, and depression; perceived social support affects coping styles and depression; coping styles impact depression.</alt-text>
</graphic></fig>
</sec>
</sec>
<sec id="s2" sec-type="materials|methods">
<title>Material and methods</title>
<sec id="s2_1">
<title>Participants and procedure</title>
<p>To estimate the population proportion and determine the required sample size, this study adopted the classical formula proposed by Cochran for calculating the minimum sample size (<xref ref-type="bibr" rid="B36">36</xref>):</p>
<disp-formula>
<mml:math display="block" id="M1"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mfrac><mml:mrow><mml:msup><mml:mtext>Z</mml:mtext><mml:mn>2</mml:mn></mml:msup><mml:mo>*</mml:mo><mml:mtext>p</mml:mtext><mml:mo stretchy="false">(</mml:mo><mml:mn>1</mml:mn><mml:mo>&#x2212;</mml:mo><mml:mtext>p</mml:mtext><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mrow><mml:msup><mml:mtext>e</mml:mtext><mml:mn>2</mml:mn></mml:msup></mml:mrow></mml:mfrac></mml:mrow></mml:math>
</disp-formula>
<p>Where n denotes the required sample size; Z denotes the critical value of the standard normal distribution, typically 1.96 for a 95% confidence level; p denotes the expected population proportion, typically conservatively assumed to be 0.5; and e denotes the maximum allowable error range, which is usually set to &#xb1;5% in studies (<xref ref-type="bibr" rid="B36">36</xref>). The final calculation yields a minimum required sample size of 384.</p>
<p>A survey was conducted via convenience sampling on 2,026 adolescent students aged 10&#x2013;19 from a secondary school. Among the collected questionnaires, 95 were determined to be invalid due to missing answers or patterned responding, and were eliminated. In the end, This study received 1,931 valid questionnaires, and the overall response rate reached 95.31%. Among these, there were 561 males (29.1%) and 1,370 females (70.9%), with an average age of 15.39 &#xb1; 2.03 years; Among the primary caregivers, there were 398 males (20.6%) and 1,533 females (79.4%); Among primary caregivers&#x2019; educational levels, 68 were illiterate (3.5%), 337 had a primary school education (17.5%); 606 had a junior high school education (31.4%), 289 had a high school or vocational school education (15.0%), 578 had a college education (29.9%), and 53 had a graduate degree or higher (2.7%). <xref ref-type="table" rid="T1"><bold>Table&#xa0;1</bold></xref> is a demographic survey data table.</p>
<table-wrap id="T1" position="float">
<label>Table&#xa0;1</label>
<caption>
<p>General demographic survey sata form (<italic>n</italic>&#xa0;=&#xa0;1931).</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" align="left">Variable name</th>
<th valign="middle" align="left">Categories</th>
<th valign="middle" align="center">Frequency</th>
<th valign="middle" align="center">Percentage</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="middle" rowspan="2" align="left">Gender</td>
<td valign="middle" align="left">Male</td>
<td valign="middle" align="center">561</td>
<td valign="middle" align="center">29.1%</td>
</tr>
<tr>
<td valign="middle" align="left">Female</td>
<td valign="middle" align="center">1370</td>
<td valign="middle" align="center">70.9%</td>
</tr>
<tr>
<td valign="middle" rowspan="2" align="left">Gender of primary caregiver</td>
<td valign="middle" align="left">Male</td>
<td valign="middle" align="center">398</td>
<td valign="middle" align="center">20.6%</td>
</tr>
<tr>
<td valign="middle" align="left">Female</td>
<td valign="middle" align="center">1533</td>
<td valign="middle" align="center">79.4%</td>
</tr>
<tr>
<td valign="middle" rowspan="6" align="left">Educational attainment of primary caregivers</td>
<td valign="middle" align="left">Illiterate</td>
<td valign="middle" align="center">68</td>
<td valign="middle" align="center">3.5%</td>
</tr>
<tr>
<td valign="middle" align="left">Primary school</td>
<td valign="middle" align="center">337</td>
<td valign="middle" align="center">17.5%</td>
</tr>
<tr>
<td valign="middle" align="left">Junior high school</td>
<td valign="middle" align="center">606</td>
<td valign="middle" align="center">31.4%</td>
</tr>
<tr>
<td valign="middle" align="left">High school or vocational school</td>
<td valign="middle" align="center">289</td>
<td valign="middle" align="center">15.0%</td>
</tr>
<tr>
<td valign="middle" align="left">College</td>
<td valign="middle" align="center">578</td>
<td valign="middle" align="center">29.9%</td>
</tr>
<tr>
<td valign="middle" align="left">Graduate degree or higher</td>
<td valign="middle" align="center">53</td>
<td valign="middle" align="center">2.7%</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>This study has obtained ethical approval from the Ethics Committee of Beijing Huilongguan Hospital (Approval No. 2023-79-Ke). Written informed consent was obtained from all participants and their legal guardians. The study adhered to the principle of voluntary participation, and participants were free to withdraw from the survey at any time.</p>
</sec>
</sec>
<sec id="s3">
<title>Measures</title>
<sec id="s3_1">
<title>Family adaptability and cohesion</title>
<p>This study used the Chinese version of the Family Adaptability and Cohesion Evaluation Scale (FACES II-CV) compiled by Olson and revised by Fei Lipeng et&#xa0;al (<xref ref-type="bibr" rid="B37">37</xref>). The original scale consists of two parallel subscales: one measuring individuals&#x2019; perceptions of their actual family circumstances and the other assessing their ideal family circumstances. Both subscales contain 30 identical items. For the purposes of this study, considering response convenience and the practical significance of the results, only the subscale pertaining to perceptions of the actual family circumstances was utilized. This scale comprises 30 items and measures two dimensions: family cohesion and family adaptability. The intimacy subscale contains 16 specific items, and the adaptability subscale contains 14 specific items. The questionnaire uses a five-level scoring method. The higher the score, the higher the level of family cohesion and adaptability. The Cronbach&#x2019;s alpha coefficient for this scale is 0.945, while the coefficients for the family cohesion and adaptability dimensions were found to be 0.880 and 0.907, respectively.</p>
</sec>
<sec id="s3_2">
<title>PSS</title>
<p>This study employed the Perceived Social Support Scale (PSSS) developed by Zimet et&#xa0;al. (<xref ref-type="bibr" rid="B38">38</xref>), a measure designed to assess an individual&#x2019;s self-perceived and subjectively interpreted social support. The scale evaluates the extent of support perceived by individuals from various sources of social support&#x2014;such as family, friends, and others&#x2014;while the total score reflects the overall level of social support experienced by the individual. The scale contains 12 specific items and is scored using a 7-level Likert scale (1 represents strong disagreement and 7 represents strong agreement). The higher the total score of the scale, the higher the level of social support perceived by the individual. The overall Cronbach&#x2019;s Alpha coefficient of this scale reaches 0.933. The Cronbach&#x2019;s &#x3b1; coefficients for the family support, friend support, and other support subscales were 0.905, 0.928, and 0.873, respectively.</p>
</sec>
<sec id="s3_3">
<title>Coping styles</title>
<p>The study utilized the Simple Coping Style Questionnaire (SCSQ) developed by Xie Yaning (<xref ref-type="bibr" rid="B39">39</xref>). This scale contains 20 specific items, adopts a four-point scoring system, and is composed of two dimensions: positive coping and negative coping. Among them, the first 12 items belong to the Positive Coping dimension (e.g., &#x201c;Try to see the good side of things&#x201d;), while the last 8 items constitute the Negative Coping dimension (e.g., &#x201c;Accept reality because there is no other way&#x201d;). The Cronbach alpha coefficient of the entire scale reached 0.875, of which the Cronbach&#x2019;s alpha coefficient of the positive coping dimension was 0.892, and the Cronbach&#x2019;s alpha coefficient of the negative coping dimension was 0.727.</p>
</sec>
<sec id="s3_4">
<title>Depression</title>
<p>This study used the Patient Health Questionnaire-9 (PHQ-9) (<xref ref-type="bibr" rid="B40">40</xref>). This scale contains a total of nine items, each item using a four-level scoring method (from 0 to 3). The total score of the entire scale ranges from 0 to 27 points. The total score is used to assess the severity of depressive symptoms, with higher scores indicating more pronounced depressive symptoms. The Cronbach&#x2019;s alpha coefficient for the total scale was 0.933.</p>
</sec>
<sec id="s3_5">
<title>Statistical analysis</title>
<p>This study used SPSS26.0 statistical software to conduct common method deviation test, independent sample t-test, one-way analysis of variance, and correlation analysis on the collected data. Hayes&#x2019; SPSS macro program PROCESS3.5 model 6 was used to test chained mediating effects. Meanwhile, in the data analysis, categorical covariates were dummy-coded, with sex and primary caregiver sex assigned as male=0 and female=1. These covariates were included as control variables in the chain mediation analysis to control for their effects on depression.</p>
</sec>
</sec>
<sec id="s4" sec-type="results">
<title>Results</title>
<sec id="s4_1">
<title>Common method bias</title>
<p>This study used Harman&#x2019;s one-factor test to assess common method deviations, and all scale items were subjected to an unrotated exploratory factor analysis in this investigation. The results showed that there were 9 factors with eigenvalues greater than 1, and the maximum variance explained by the first factor was 29.72%, which was below the 40% threshold. Therefore, the common method deviations in this study was within an acceptable range.</p>
</sec>
<sec id="s4_2">
<title>Correlation analysis</title>
<p>Pearson correlation analysis revealed the following results (shown in <xref ref-type="table" rid="T2"><bold>Table&#xa0;2</bold></xref>): family adaptability and cohesion were significantly positively correlated with PSS, positive coping, and negative coping (<italic>r</italic> = 0.564, 0.478, 0.197, <italic>p</italic> &lt; 0.01), while family adaptability and cohesion showed a significant negative correlated with depression (<italic>r</italic> = -0.301, <italic>p</italic> &lt; 0.01). PSS was positively correlated with positive and negative coping styles (<italic>r</italic> = 0.533, 0.246, <italic>p</italic> &lt; 0.01) and negatively correlated with depression (<italic>r</italic> = -0.335, <italic>p</italic> &lt; 0.01). Positive coping styles were negatively correlated with depression (<italic>r</italic> = -0.389, <italic>p</italic> &lt; 0.01), while negative coping styles were positively correlated with depression (<italic>r</italic> = 0.080, <italic>p</italic> &lt; 0.01). Therefore, Hypothesis 1 is supported.</p>
<table-wrap id="T2" position="float">
<label>Table&#xa0;2</label>
<caption>
<p>Descriptive statistics and correlation analysis of variables (<italic>n</italic>&#xa0;=&#xa0;1931).</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" align="left">Variable name</th>
<th valign="middle" align="center"><italic>M&#xa0;&#xb1;&#xa0;SD</italic></th>
<th valign="middle" align="center">FAC</th>
<th valign="middle" align="center">PSS</th>
<th valign="middle" align="center">PCS</th>
<th valign="middle" align="center">NCS</th>
<th valign="middle" align="center">Depression</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="middle" align="left">FAC<break/>PSS<break/>PCS<break/>NCS<break/>Depression</td>
<td valign="middle" align="center">81.40&#xa0;&#xb1;&#xa0;24.87<break/>51.39&#xa0;&#xb1;&#xa0;15.79<break/>16.39&#xa0;&#xb1;&#xa0;8.19<break/>12.37&#xa0;&#xb1;&#xa0;5.10<break/>16.00&#xa0;&#xb1;&#xa0;7.89</td>
<td valign="middle" align="center">1<break/>0.564**<break/>0.478**<break/>0.197**<break/>-0.301**</td>
<td valign="middle" align="center">&#xa0;<break/>1<break/>0.533**<break/>0.246**<break/>-0.335**</td>
<td valign="middle" align="center">&#xa0;<break/>&#xa0;<break/>1<break/>0.427**<break/>-0.389**</td>
<td valign="middle" align="center">&#xa0;<break/>&#xa0;<break/>&#xa0;<break/>1<break/>0.080**</td>
<td valign="middle" align="center">&#xa0;<break/>&#xa0;<break/>&#xa0;<break/>&#xa0;<break/>1</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>**<italic>p</italic> &lt; 0.01. The same applies below.</p></fn>
<fn>
<p>FAC, family adaptability and cohesion; PSS, perceived social support; PCS, positive coping styles; NCS, negative coping styles. The same applies below.</p></fn>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="s4_3">
<title>Differences in family adaptability and cohesion, PSS, coping styles, and adolescent depression scores across different demographic variables.</title>
<p>Independent samples t-tests were conducted to examine differences in family adaptability and cohesion, PSS, coping styles, and adolescent depression by student gender and primary caregiver gender. The results revealed significant student gender differences in family adaptability and cohesion, PSS, positive coping style, and adolescent depression (<italic>t</italic> = 4.50, 2.92, 4.47, -9.70, all <italic>p</italic> &lt; 0.01). Additionally, significant differences were found in family adaptability and cohesion, PSS, and adolescent depression across the gender of the primary caregiver (<italic>t</italic> = 3.08, 2.25, -3.38, all <italic>p</italic> &lt; 0.05). These findings indicated that male students and adolescents with a male primary caregiver scored significantly higher on family adaptability and cohesion as well as PSS; meanwhile, male students also obtained significantly higher scores on positive coping styles than female students. In contrast, female students and adolescents with a female primary caregiver exhibited higher levels of depressive symptoms.</p>
<p>A one-way analysis of variance was performed to test for differences in family adaptability and cohesion, PSS, coping styles, and adolescent depression based on the educational level of the primary caregiver. The results showed no significant differences in negative coping styles and adolescent depression across the educational level of the primary caregiver (<italic>F</italic> = 1.71, 1.00, all <italic>p</italic> &gt; 0.05), whereas significant differences were identified in family adaptability and cohesion, PSS, and positive coping styles (<italic>F</italic> = 14.49, 7.94, 5.67, all <italic>p</italic> &lt; 0.01). <italic>Post-hoc</italic> tests further demonstrated that the higher the educational level of the primary caregiver, the higher the scores of adolescents on family adaptability and cohesion, PSS, and positive coping styles.</p>
</sec>
<sec id="s4_4">
<title>Analyzing the chain mediation effect of PSS and coping styles</title>
<p>Independent samples t-tests and one-way analysis of variance revealed significant differences in adolescent depression based on both student gender and primary caregiver gender (all <italic>p</italic> &lt; 0.05). Consequently, in the subsequent chain mediation analysis, these demographic variables were included as covariates, after being dummy-coded. The results are presented as follows:</p>
<p>After controlling for student gender and primary caregiver gender, we found that Family adaptability and cohesion significantly and positively predicted PSS (<italic>&#x3b2;</italic> = 0.56, <italic>SE</italic> = 0.02, <italic>t</italic> = 29.73, <italic>p</italic> &lt; 0.001) and positive coping styles (<italic>&#x3b2;</italic> = 0.26, <italic>SE</italic> = 0.02, <italic>t</italic> = 11.30, <italic>p</italic> &lt; 0.001), and negatively predicted adolescent depression (<italic>&#x3b2;</italic> = -0.08, <italic>SE</italic> = 0.03, <italic>t</italic> = -3.16, <italic>p</italic> &lt; 0.001). PSS significantly and positively predicted positive coping styles (<italic>&#x3b2;</italic> = 0.39, <italic>SE</italic> = 0.02, <italic>t</italic> = 17.08, <italic>p</italic> &lt; 0.001) and negatively predicted adolescent depression (<italic>&#x3b2;</italic> = -0.14, <italic>SE</italic> = 0.03, <italic>t</italic> = -5.33, <italic>p</italic> &lt; 0.001). Positive coping styles also significantly negatively predicted adolescent depression (<italic>&#x3b2;</italic> = -0.26, <italic>SE</italic> = 0.02, <italic>t</italic> = -10.42, <italic>p</italic> &lt; 0.001). The mediation effect results are presented in <xref ref-type="table" rid="T3"><bold>Tables&#xa0;3</bold></xref>, <xref ref-type="table" rid="T4"><bold>4</bold></xref>, indicating that PSS and positive coping styles each play a partial mediating role in the relationship between family adaptability and cohesion and adolescent depression, accounting for 28.57% and 25% of the total effect, respectively. Additionally, the chain mediating effect of PSS and positive coping style was also significant, contributing to 21.43% of the total effect, as detailed in <xref ref-type="fig" rid="f2"><bold>Figure&#xa0;2</bold></xref>.</p>
<table-wrap id="T3" position="float">
<label>Table&#xa0;3</label>
<caption>
<p>The chain mediation analysis of the pathway between PSS and positive coping styles.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" rowspan="2" align="center">Predictor variable</th>
<th valign="middle" colspan="2" align="center">Depression</th>
<th valign="middle" colspan="2" align="center">PSS</th>
<th valign="middle" colspan="2" align="center">PCS</th>
<th valign="middle" colspan="2" align="center">Depression</th>
</tr>
<tr>
<th valign="middle" align="center"><italic>&#x3b2;</italic></th>
<th valign="middle" align="center"><italic>t</italic></th>
<th valign="middle" align="center"><italic>&#x3b2;</italic></th>
<th valign="middle" align="center"><italic>t</italic></th>
<th valign="middle" align="center"><italic>&#x3b2;</italic></th>
<th valign="middle" align="center"><italic>t</italic></th>
<th valign="middle" align="center"><italic>&#x3b2;</italic></th>
<th valign="middle" align="center"><italic>t</italic></th>
</tr>
</thead>
<tbody>
<tr>
<td valign="middle" align="center">Student gender</td>
<td valign="middle" align="center">0.18</td>
<td valign="middle" align="center">8.37***</td>
<td valign="middle" align="center">-0.01</td>
<td valign="middle" align="center">-0.35</td>
<td valign="middle" align="center">-0.05</td>
<td valign="middle" align="center">-2.65***</td>
<td valign="middle" align="center">0.17</td>
<td valign="middle" align="center">8.07***</td>
</tr>
<tr>
<td valign="middle" align="center">Primary caregiver gender</td>
<td valign="middle" align="center">0.02</td>
<td valign="middle" align="center">0.88</td>
<td valign="middle" align="center">-0.01</td>
<td valign="middle" align="center">-0.53</td>
<td valign="middle" align="center">0.01</td>
<td valign="middle" align="center">0.29</td>
<td valign="middle" align="center">0.02</td>
<td valign="middle" align="center">0.88</td>
</tr>
<tr>
<td valign="middle" align="center">FAC</td>
<td valign="middle" align="center">-0.28</td>
<td valign="middle" align="center">-13.12***</td>
<td valign="middle" align="center">0.56</td>
<td valign="middle" align="center">29.73***</td>
<td valign="middle" align="center">0.26</td>
<td valign="middle" align="center">11.30***</td>
<td valign="middle" align="center">-0.08</td>
<td valign="middle" align="center">-3.16***</td>
</tr>
<tr>
<td valign="middle" align="center">PSS</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
<td valign="middle" align="center">0.39</td>
<td valign="middle" align="center">17.08***</td>
<td valign="middle" align="center">-0.14</td>
<td valign="middle" align="center">-5.33***</td>
</tr>
<tr>
<td valign="middle" align="center">PCS</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
<td valign="middle" align="center">-0.26</td>
<td valign="middle" align="center">-10.42***</td>
</tr>
<tr>
<td valign="middle" align="center"><italic>R<sup>2</sup></italic></td>
<td valign="middle" align="center">0.13</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center">0.32</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center">0.33</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center">0.21</td>
<td valign="middle" align="center"/>
</tr>
<tr>
<td valign="middle" align="center"><italic>F</italic></td>
<td valign="middle" align="center">92.34</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center">300.06</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center">239.56</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center">102.02</td>
<td valign="middle" align="center"/>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>***<italic>p</italic> &lt; 0.001.</p></fn>
</table-wrap-foot>
</table-wrap>
<table-wrap id="T4" position="float">
<label>Table&#xa0;4</label>
<caption>
<p>Positive coping styles mediation effect, direct effect, and total effect decomposition diagram.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" align="left">Path</th>
<th valign="middle" align="center">Effect</th>
<th valign="middle" align="center"><italic>Boot SE</italic></th>
<th valign="middle" align="center"><italic>Boot CI</italic></th>
<th valign="middle" align="center">Effect proportion</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="middle" align="left">FAC &#x2192; depression</td>
<td valign="middle" align="center">-0.08</td>
<td valign="middle" align="center">0.03</td>
<td valign="middle" align="center">[-0.13,-0.03]</td>
<td valign="middle" align="center">28.57%</td>
</tr>
<tr>
<td valign="middle" align="left">FAC &#x2192; PSS &#x2192; depression</td>
<td valign="middle" align="center">-0.08</td>
<td valign="middle" align="center">0.02</td>
<td valign="middle" align="center">[-0.11,-0.05]</td>
<td valign="middle" align="center">28.57%</td>
</tr>
<tr>
<td valign="middle" align="left">FAC &#x2192; PCS &#x2192; depression</td>
<td valign="middle" align="center">-0.07</td>
<td valign="middle" align="center">0.02</td>
<td valign="middle" align="center">[-0.09,-0.05]</td>
<td valign="middle" align="center">25%</td>
</tr>
<tr>
<td valign="middle" align="left">FAC &#x2192; PSS &#x2192; PCS &#x2192; depression</td>
<td valign="middle" align="center">-0.06</td>
<td valign="middle" align="center">0.01</td>
<td valign="middle" align="center">[-0.07,-0.04]</td>
<td valign="middle" align="center">21.43%</td>
</tr>
<tr>
<td valign="middle" align="left">Total indirect effect</td>
<td valign="middle" align="center">-0.20</td>
<td valign="middle" align="center">0.02</td>
<td valign="middle" align="center">[-0.24,-0.17]</td>
<td valign="middle" align="center">71.43%</td>
</tr>
<tr>
<td valign="middle" align="left">Total effect</td>
<td valign="middle" align="center">-0.28</td>
<td valign="middle" align="center">0.02</td>
<td valign="middle" align="center">[-0.32,-0.24]</td>
<td valign="middle" align="center"/>
</tr>
</tbody>
</table>
</table-wrap>
<fig id="f2" position="float">
<label>Figure&#xa0;2</label>
<caption>
<p>The Chain mediation model of PSS and positive coping style (***<italic>p</italic>&#xa0;&lt;&#xa0;0.001).</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fpsyt-17-1775775-g002.tif">
<alt-text content-type="machine-generated">Path diagram showing relationships between family adaptability and cohesion, perceived social support, positive coping styles, and depression. Primary caregiver and student gender link to depression, Arrows indicate significant standardized coefficients, all with p-values less than 0.001.</alt-text>
</graphic></fig>
<p>Family adaptability and cohesion have a significant and positive predictive effect on the PSS (<italic>&#x3b2;</italic> = 0.56, <italic>SE</italic> = 0.02, <italic>t</italic> = 29.73, <italic>p</italic> &lt; 0.001) and negative coping styles (<italic>&#x3b2;</italic> = 0.09, <italic>SE</italic> = 0.03, <italic>t</italic> = 3.34, <italic>p</italic> &lt; 0.001), and it negatively predicted adolescent depression (<italic>&#x3b2;</italic> = -0.16, <italic>SE</italic> = 0.02, <italic>t</italic> = -6.51, <italic>p</italic> &lt; 0.001). PSS significantly and positively predicted negative coping styles (<italic>&#x3b2;</italic> = 0.20, <italic>SE</italic> = 0.03, <italic>t</italic> = 7.44, <italic>p</italic> &lt; 0.001) and negatively predicted adolescent depression (<italic>&#x3b2;</italic> = -0.28, <italic>SE</italic> = 0.02, <italic>t</italic> = -10.59, <italic>p</italic> &lt; 0.001). Negative coping significantly positively predicted adolescent depression (<italic>&#x3b2;</italic> = 0.18, <italic>SE</italic> = 0.02, <italic>t</italic> = 3.34, <italic>p</italic> &lt; 0.001). The mediation effects are presented in <xref ref-type="table" rid="T5"><bold>Tables&#xa0;5</bold></xref>, <xref ref-type="table" rid="T6"><bold>6</bold></xref>, indicating that PSS and negative coping style each play a partial mediating role in the relationship between family adaptability and cohesion and adolescent depression, accounting for 53.57% and 7.14% of the total effect, respectively. Additionally, the chain mediation effect through PSS and negative coping style was also significant, contributing to 7.14% of the total effect, as illustrated in <xref ref-type="fig" rid="f3"><bold>Figure&#xa0;3</bold></xref>. Therefore, hypotheses 2, 3, and 4 are supported.</p>
<table-wrap id="T5" position="float">
<label>Table&#xa0;5</label>
<caption>
<p>The chain mediation analysis of the pathway between PSS and negative coping styles.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" rowspan="2" align="center">Predictor variable</th>
<th valign="middle" colspan="2" align="center">Depression</th>
<th valign="middle" colspan="2" align="center">PSS</th>
<th valign="middle" colspan="2" align="center">NCS</th>
<th valign="middle" colspan="2" align="center">Depression</th>
</tr>
<tr>
<th valign="middle" align="center"><italic>&#x3b2;</italic></th>
<th valign="middle" align="center"><italic>t</italic></th>
<th valign="middle" align="center"><italic>&#x3b2;</italic></th>
<th valign="middle" align="center"><italic>t</italic></th>
<th valign="middle" align="center"><italic>&#x3b2;</italic></th>
<th valign="middle" align="center"><italic>t</italic></th>
<th valign="middle" align="center"><italic>&#x3b2;</italic></th>
<th valign="middle" align="center"><italic>t</italic></th>
</tr>
</thead>
<tbody>
<tr>
<td valign="middle" align="center">Student gender</td>
<td valign="middle" align="center">0.18</td>
<td valign="middle" align="center">8.37***</td>
<td valign="middle" align="center">-0.01</td>
<td valign="middle" align="center">-0.35</td>
<td valign="middle" align="center">0.02</td>
<td valign="middle" align="center">1.10</td>
<td valign="middle" align="center">0.18</td>
<td valign="middle" align="center">8.42***</td>
</tr>
<tr>
<td valign="middle" align="center">Primary caregiver gender</td>
<td valign="middle" align="center">0.02</td>
<td valign="middle" align="center">0.88</td>
<td valign="middle" align="center">-0.01</td>
<td valign="middle" align="center">-0.53</td>
<td valign="middle" align="center">0.03</td>
<td valign="middle" align="center">1.18</td>
<td valign="middle" align="center">0.01</td>
<td valign="middle" align="center">0.57</td>
</tr>
<tr>
<td valign="middle" align="center">FAC</td>
<td valign="middle" align="center">-0.28</td>
<td valign="middle" align="center">-13.12***</td>
<td valign="middle" align="center">0.56</td>
<td valign="middle" align="center">29.73***</td>
<td valign="middle" align="center">0.09</td>
<td valign="middle" align="center">3.34***</td>
<td valign="middle" align="center">-0.16</td>
<td valign="middle" align="center">-6.51***</td>
</tr>
<tr>
<td valign="middle" align="center">PSS</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
<td valign="middle" align="center">0.20</td>
<td valign="middle" align="center">7.44***</td>
<td valign="middle" align="center">-0.28</td>
<td valign="middle" align="center">-10.95***</td>
</tr>
<tr>
<td valign="middle" align="center">NCS</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
<td valign="middle" align="center">0.18</td>
<td valign="middle" align="center">8.42***</td>
</tr>
<tr>
<td valign="middle" align="center"><italic>R<sup>2</sup></italic></td>
<td valign="middle" align="center">0.13</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center">0.32</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center">0.07</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center">0.19</td>
<td valign="middle" align="center"/>
</tr>
<tr>
<td valign="middle" align="center"><italic>F</italic></td>
<td valign="middle" align="center">92.34</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center">300.06</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center">34.55</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center">93.02</td>
<td valign="middle" align="center"/>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>***<italic>p</italic> &lt; 0.001.</p></fn>
</table-wrap-foot>
</table-wrap>
<table-wrap id="T6" position="float">
<label>Table&#xa0;6</label>
<caption>
<p>Negative coping styles mediation effect, direct effect, and total effect decomposition diagram.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" align="left">Path</th>
<th valign="middle" align="left">Effect</th>
<th valign="middle" align="left"><italic>Boot SE</italic></th>
<th valign="middle" align="left"><italic>Boot CI</italic></th>
<th valign="middle" align="left">Effect proportion</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="middle" align="left">FAC &#x2192; depression</td>
<td valign="middle" align="left">-0.16</td>
<td valign="middle" align="left">0.02</td>
<td valign="middle" align="left">[-0.21,-0.11]</td>
<td valign="middle" align="left">57.14%</td>
</tr>
<tr>
<td valign="middle" align="left">FAC &#x2192; PSS &#x2192; depression</td>
<td valign="middle" align="left">-0.15</td>
<td valign="middle" align="left">0.02</td>
<td valign="middle" align="left">[-0.19,-0.13]</td>
<td valign="middle" align="left">53.57%</td>
</tr>
<tr>
<td valign="middle" align="left">FAC &#x2192; NCS &#x2192; depression</td>
<td valign="middle" align="left">0.02</td>
<td valign="middle" align="left">0.01</td>
<td valign="middle" align="left">[0.01,0.03]</td>
<td valign="middle" align="left">7.14%</td>
</tr>
<tr>
<td valign="middle" align="left">FAC &#x2192; PSS &#x2192; NCS &#x2192; depression</td>
<td valign="middle" align="left">0.02</td>
<td valign="middle" align="left">0</td>
<td valign="middle" align="left">[0.01,0.03]</td>
<td valign="middle" align="left">7.14%</td>
</tr>
<tr>
<td valign="middle" align="left">Total indirect effect</td>
<td valign="middle" align="left">-0.12</td>
<td valign="middle" align="left">0.02</td>
<td valign="middle" align="left">[-0.15,-0.09]</td>
<td valign="middle" align="left">42.86%</td>
</tr>
<tr>
<td valign="middle" align="left">Total effect</td>
<td valign="middle" align="left">-0.28</td>
<td valign="middle" align="left">0.02</td>
<td valign="middle" align="left">[-0.32,-0.24]</td>
<td valign="middle" align="left"/>
</tr>
</tbody>
</table>
</table-wrap>
<fig id="f3" position="float">
<label>Figure&#xa0;3</label>
<caption>
<p>The chain mediation model of PSS and negative coping style (***<italic>p</italic>&#xa0;&lt;&#xa0;0.001).</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fpsyt-17-1775775-g003.tif">
<alt-text content-type="machine-generated">Path analysis diagram showing relationships among family adaptability and cohesion, perceived social support, negative coping styles, and depression, with coefficients and significance levels. Primary caregiver and student gender link to depression, model significance at p less than 0.001.</alt-text>
</graphic></fig>
</sec>
</sec>
<sec id="s5" sec-type="discussion">
<title>Discussion</title>
<p>This study examined the impact of family adaptability and cohesion on depression, with a particular focus on the chain-mediated role of PSS and coping styles. The aim was to identify factors influencing adolescent depression in order to develop effective intervention measures, reduce the incidence of depression among adolescents, and protect their mental and physical health. The results of this study clearly show that there is a negative correlation between family adaptability and cohesion and adolescent depression. In other words, the higher the level of family adaptability and cohesion, the lower the level of depression that adolescents will show. PSS and coping styles play a chain-mediated role in the relationship between family adaptability and cohesion and adolescent depression. Adolescents with higher family adaptability and cohesion have higher levels of PSS and are more likely to adopt positive coping styles, thereby reducing depression levels. Meanwhile, adolescents with stronger family cohesion and greater social support may also be more prone to adopting negative coping strategies, which ultimately heightens their risk of depression.</p>
<sec id="s5_1">
<title>The impact of family adaptability and cohesion on adolescent depression</title>
<p>This study indicates that family adaptability and cohesion have a significant predictive effect on adolescent depression. family adaptability and cohesion have a significant negative correlation with adolescent depression, which means that the higher the family adaptability and cohesion, the lower the depression levels in teenagers. This research result is consistent with the conclusions drawn by previous related studies (<xref ref-type="bibr" rid="B41">41</xref>), thereby confirming Hypothesis 1. Family adaptability and cohesion are important predictors of adolescent mental health, with individuals who experience higher levels of family closeness being less likely to exhibit internalizing problems (<xref ref-type="bibr" rid="B42">42</xref>). Wang Yao and Wang Yulong conducted a study on 481 adolescents to investigate the relationship between family adaptability and cohesion and their mental health (<xref ref-type="bibr" rid="B43">43</xref>). The study found that both family adaptability and cohesion have a significant positive predictive effect on adolescents&#x2019; mental health. Meanwhile, the circumplex model theory of family functioning also suggests that family closeness is closely related to the mental health of family members, and low levels of closeness may increase the risk of depression (<xref ref-type="bibr" rid="B7">7</xref>). One possible explanation is that members of low-cohesion families often lack sufficient emotional support and positive interaction. When adolescents encounter setbacks, they have no one to confide in, which may lead to feelings of loneliness and helplessness, causing negative emotions to accumulate over time and triggering depressive moods (<xref ref-type="bibr" rid="B44">44</xref>). Additionally, low-cohesion families often involve high conflict (such as parental arguments) or emotional coldness. Both of these patterns activate adolescents&#x2019; stress systems (such as elevated cortisol levels), thereby increasing susceptibility to depression (<xref ref-type="bibr" rid="B45">45</xref>). Conversely, in families with higher cohesion, close relationships and high levels of mutual support provide adolescents with sufficient security, alleviating feelings of loneliness. Appropriate family cohesion also offers adequate personal space, providing emotional support while allowing adolescents to develop autonomously, thereby enhancing psychological resilience and reducing depression levels (<xref ref-type="bibr" rid="B46">46</xref>).</p>
</sec>
<sec id="s5_2">
<title>The separate mediating roles of PSS and coping styles</title>
<p>The findings of this study indicate that PSS, positive coping, and negative coping each play a partial mediating role in the relationship between family adaptability and cohesion and adolescent depression, thereby confirming Hypothesis 2 and Hypothesis 3. Family Systems Theory posits that higher levels of family cohesion facilitate the development of healthy social support perception among family members (<xref ref-type="bibr" rid="B10">10</xref>). Empirical research further demonstrates that family cohesion significantly and positively predicts adolescents&#x2019; social adaptation (<xref ref-type="bibr" rid="B47">47</xref>). Adolescents who perceive their families as having lower cohesion and adaptability often struggle to form strong social connections (<xref ref-type="bibr" rid="B48">48</xref>), resulting in lower levels of PSS. In contrast, families with high cohesion significantly enhance adolescents&#x2019; psychological security by fulfilling their needs for emotional support and belonging (<xref ref-type="bibr" rid="B49">49</xref>), thereby increasing their PSS. Concurrently, research suggests that adolescents with higher PSS experience more positive emotions (<xref ref-type="bibr" rid="B12">12</xref>). As a critical mediator between family cohesion/adaptability and adolescent depression, social support effectively buffers the negative psychological impact of stressful events by providing emotional care, a sense of belonging, identity affirmation, and instrumental assistance. Consequently, adolescents from families with higher adaptability and cohesion perceive greater social support. This support network provides warmth and encouragement, fosters positive emotions, reduces negative affect, and ultimately leads to lower levels of adolescent depression (<xref ref-type="bibr" rid="B50">50</xref>).</p>
<p>Furthermore, the mediating effects of positive coping styles align with previous research findings (<xref ref-type="bibr" rid="B51">51</xref>). According to Family Systems Theory (<xref ref-type="bibr" rid="B10">10</xref>), the family constitutes a dynamic emotional system in which the level of cohesion influences how members cope with stress. Adolescents in families with high cohesion tend to adopt positive coping strategies, such as problem-solving or seeking support, enabling them to confront challenges proactively. Research has shown that employing positive coping approaches, such as sharing feelings or seeking help, facilitates emotional support and helps alleviate negative emotions in adolescents (<xref ref-type="bibr" rid="B52">52</xref>). Thus, positive coping styles are significantly negatively correlated with adolescent depression. Notably, the mediating effect of negative coping styles is somewhat inconsistent with previous research, as this study found a positive correlation between family adaptability and cohesion and negative coping. This may be because adolescents are in a critical period of development, and overly close family relationships may hinder the development of their autonomy (<xref ref-type="bibr" rid="B53">53</xref>), making it difficult for them to effectively solve problems when facing difficulties, thus leading them to adopt escape and other negative coping strategies. Such negative coping methods like avoidance or self-blame not only inhibit adolescents&#x2019; problem-solving abilities but also increase their psychological stress and exacerbate negative emotions (<xref ref-type="bibr" rid="B54">54</xref>), showing a significant positive correlation with depression.</p>
</sec>
<sec id="s5_3">
<title>The chain-mediated role of PSS and coping styles in family adaptability and cohesion in relation to adolescent depression</title>
<p>This study established a chain mediation model to elucidate the relationship between family adaptability and cohesion and adolescent depression, detailing the chain-mediated roles of PSS, positive coping styles, and negative coping styles within this relationship. These findings support Hypothesis 4. According to the buffering model (<xref ref-type="bibr" rid="B15">15</xref>), the family serves as the most central source of social support for adolescents, and its level of cohesion is closely associated with adolescents&#x2019; subjective perception of social support. In families with high cohesion, adolescents tend to experience stronger social support and are more inclined to use positive coping strategies, such as actively attempting to solve problems. These adolescents also generally exhibit relatively lower levels of depression. This mechanism may be attributed to the family&#x2019;s role as the primary setting for socialization, where its level of intimacy shapes adolescents&#x2019; cognitive schemas regarding social relationships. In highly cohesive families, close emotional communication and supportive behaviors among members help foster positive social beliefs in adolescents, making them more inclined to perceive and accept social support from the external environment (<xref ref-type="bibr" rid="B55">55</xref>). When facing stressful situations, adolescents with access to a greater quantity and variety of social support tend to develop stronger confidence in their own coping abilities (<xref ref-type="bibr" rid="B56">56</xref>). As a result, they are more likely to choose positive coping strategies to address problems, buffer negative emotions, and maintain lower levels of depression.</p>
<p>Meanwhile, the results of this study also indicate that family adaptability and cohesion, as well as PSS, are positively correlated with negative coping strategies. Negative coping strategies, in turn, are positively associated with adolescent depression. In other words, adolescents with higher family cohesion, who also perceive higher social support, may sometimes be more inclined to adopt negative coping strategies such as avoidance when facing problems, which ultimately increases their risk of depression. This finding diverges from prior literature. A potential reason for this discrepancy is parental overprotection. Research has found that adolescents with high levels of family cohesion and PSS may have experienced a certain degree of parental overprotection during their upbringing (<xref ref-type="bibr" rid="B57">57</xref>). In such an environment, although adolescents feel supported by their families, they lack opportunities to independently confront challenges and fail to adequately develop problem-solving skills. Consequently, they tend to rely on avoidant and dependent negative coping strategies to evade problems, which can exacerbate their experience of stress and ultimately elevate their risk of depression (<xref ref-type="bibr" rid="B58">58</xref>). Furthermore, under the influence of sociocultural expectations, males are often encouraged to cultivate qualities such as &#x201c;toughness&#x201d; and &#x201c;independence&#x201d; throughout their socialization. This conditioning fosters an earlier tendency to engage in proactive problem-solving, making them more likely to employ problem-focused positive coping strategies when confronted with stress. By contrast, females are typically afforded greater freedom to express emotions. As a result, when facing difficulties, they may lean more toward emotional expression or avoidant coping styles, rather than taking direct action to address the problem itself (<xref ref-type="bibr" rid="B59">59</xref>). Given the gender imbalance in the sample, the observed gender difference could also contribute to variations in the correlation patterns observed between variables.</p>
<p>Overall, this research reveals the psychological mechanisms by which family adaptability and cohesion influence adolescent depression: family adaptability and cohesion affect adolescent depression. This study not only deepens a systematic understanding of the causes of depression in adolescents, but also provides a multi-level (family, social, and individual) intervention blueprint that can help reduce depression levels in adolescents, reduce suicide risks, and protect their physical and mental health.</p>
</sec>
</sec>
<sec id="s6">
<title>Research significance and limitations</title>
<sec id="s6_1">
<title>Theoretical significance</title>
<p>The purpose of this study is to explore the relationship between family adaptability and cohesion, PSS, coping styles and adolescent depression, and to deeply analyze the intrinsic mechanism of action between them to provide theoretical reference for the prevention and intervention of adolescent depression. In addition, this study can enrich and improve the existing research system on family adaptability and cohesion, PSS, coping styles, and adolescent depression. It explores in depth the intrinsic mechanism of family adaptability and cohesion affecting adolescent depression, which is an important supplement to previous theoretical research (<xref ref-type="bibr" rid="B31">31</xref>&#x2013;<xref ref-type="bibr" rid="B33">33</xref>). This research lays a solid theoretical foundation for the development of scientific, effective and targeted prevention and intervention measures, and is significant for alleviating depressive symptoms among adolescents and maintaining their mental health.</p>
</sec>
<sec id="s6_2">
<title>Practical significance</title>
<p>In practice, mental health issues among adolescents are becoming increasingly prominent, with depression emerging as one of the primary obstacles to their healthy development (<xref ref-type="bibr" rid="B60">60</xref>). This study, by constructing a chain mediation model of &#x201c;family adaptability and cohesion &#x2192; PSS &#x2192; coping styles &#x2192; adolescent depression,&#x201d; integrates two mediating pathways and organically synthesizes factors at the family, social, and individual levels to systematically examine their combined effects and interactions. This framework helps to reduce the likelihood of adolescent depression, enables early identification, and supports the formulation of effective intervention measures to mitigate the risks of long-term depression and suicide, thereby safeguarding adolescent mental health (<xref ref-type="bibr" rid="B61">61</xref>, <xref ref-type="bibr" rid="B62">62</xref>).</p>
</sec>
<sec id="s6_3">
<title>Limitation</title>
<p>Although this study examined the relationships among these four variables, research on intervention measures and effective methods targeting these factors remains relatively limited. Future efforts should focus on how intervention measures can enhance family adaptability and cohesion, strengthen social support, and improve coping styles to reduce the incidence of depression. For example, interventions such as group counseling and mindfulness training can be implemented. These aim to reduce adolescents&#x2019; negative stress responses, enhance their ability to choose positive coping strategies, and thereby effectively lower their depression levels. Second, the measurement of all variables is entirely based on self-reported questionnaire surveys, and participants may have withheld information. Furthermore, in this study, gender and primary caregiver gender were included as control variables in the mediation analysis, which did not allow for an in-depth exploration of potential gender differences in the mediation pathways. Future research could further examine whether the individual pathways are gender-specific. Meanwhile, the gender ratio in the study sample was imbalanced, which may have affected the stability and representativeness of the overall analysis to some extent. Future research could further examine the relationships among the variables in more gender-balanced samples to enhance the generalizability of the findings. Finally, although this study was based on solid theoretical and empirical foundations, the cross-sectional nature restricted my capacity to ascertain causal links among the variables. Future research can use longitudinal tracking methods to more clearly reveal the correlation between these variables.</p>
</sec>
</sec>
<sec id="s7" sec-type="conclusions">
<title>Conclusion</title>
<p>The results of this study show that</p>
<list list-type="order">
<list-item>
<p>Family adaptability and cohesion can negatively predict depression in adolescents. The closer the family relationship and the stronger the adaptability of individuals, the lower the degree of depression.</p></list-item>
<list-item>
<p>Family adaptability and cohesion, PSS, positive coping styles, and negative coping styles are correlated with adolescent depression.</p></list-item>
<list-item>
<p>Family adaptability and cohesion have an indirect impact on adolescent depression through PSS and the chain-mediated role of coping styles. That is to say, teenagers with higher levels of family adaptability and cohesion usually feel more social support and are more inclined to adopt positive coping styles, thereby reducing the risk of developing depression. Meanwhile, adolescents with stronger family cohesion and greater social support may also be more prone to adopting negative coping strategies, which ultimately heightens their risk of depression.</p></list-item>
</list>
</sec>
</body>
<back>
<sec id="s8" sec-type="data-availability">
<title>Data availability statement</title>
<p>The original contributions presented in the study are included in the article/supplementary material. Further inquiries can be directed to the corresponding author/s.</p></sec>
<sec id="s9" sec-type="ethics-statement">
<title>Ethics statement</title>
<p>The studies involving humans were approved by The Ethics Committee of Beijing Huilongguan Hospital. The studies were conducted in accordance with the local legislation and institutional requirements. Written informed consent for participation in this study was provided by the participants&#x2019; legal guardians/next of kin. Written informed consent was obtained from the individual(s), and minor(s)&#x2019; legal guardian/next of kin, for the publication of any potentially identifiable images or data included in this article.</p></sec>
<sec id="s10" sec-type="author-contributions">
<title>Author contributions</title>
<p>JL: Investigation, Writing &#x2013; original draft, Formal analysis. XC: Writing &#x2013; original draft, Conceptualization, Methodology. ZZ: Writing &#x2013; review &amp; editing, Investigation. JZ: Visualization, Writing &#x2013; review &amp; editing. LA: Validation, Writing &#x2013; review &amp; editing. YZ: Writing &#x2013; review &amp; editing, Supervision. LL: Writing &#x2013; review &amp; editing, Resources. RW: Conceptualization, Writing &#x2013; review &amp; editing.</p></sec>
<ack>
<title>Acknowledgments</title>
<p>We are appreciative of the students and teachers who participated and the people who assisted in our study.</p>
</ack>
<sec id="s12" sec-type="COI-statement">
<title>Conflict of interest</title>
<p>The author(s) declared that this work was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p></sec>
<sec id="s13" sec-type="ai-statement">
<title>Generative AI statement</title>
<p>The author(s) declared that generative AI was not used in the creation of this manuscript.</p>
<p>Any alternative text (alt text) provided alongside figures in this article has been generated by Frontiers with the support of artificial intelligence and reasonable efforts have been made to ensure accuracy, including review by the authors wherever possible. If you identify any issues, please contact us.</p></sec>
<sec id="s14" sec-type="disclaimer">
<title>Publisher&#x2019;s note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p></sec>
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<p>Edited by: <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/2212613">Sihong Liu</ext-link>, Stanford University, United States</p></fn>
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<p><ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/3331862">Feng Zhang</ext-link>, Southwest Jiaotong University, China</p></fn>
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