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Global country-level network analysis of mental disorders

Published online by Cambridge University Press:  20 July 2026

Mohammadreza Balooch Hasankhani
Affiliation:
Student Research Committee, Kerman University of Medical Sciences, Kerman, Islamic Republic of Iran
Shoboo Rahmati
Affiliation:
Social Determinants of Health Research Center, Research Institute for Health Development, Kurdistan University of Medical Sciences, Sanandaj, Islamic Republic of Iran
Mark J.M. Sullman
Affiliation:
Department of Social Sciences, School of Humanities and Social Sciences, University of Nicosia, Nicosia, Cyprus
Tania Dehesh*
Affiliation:
Department of Biostatistics and Epidemiology, School of Public Health, Kerman University of Medical Sciences, Kerman, Islamic Republic of Iran
*
Corresponding author: Tania Dehesh; Email: tania_dehesh@yahoo.com
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Abstract

Content of image described in text.

Mental disorders are major contributors to the global burden of disease and may show correlated incidence patterns across countries. We characterized the country-level ecological network of age-standardized incidence rates for 10 mental disorders, identified statistically central disorders and examined how individual countries influenced estimated network connectivity. Data for 204 countries and territories, including Sociodemographic Index values, were obtained from the Global Burden of Disease Study 2023. A regularized network model using the mgm framework estimated conditional associations among country-level variables. Strength centrality and case-deletion delta-centrality analyses assessed disorder connectedness and country influence, with bootstrap procedures evaluating stability. Approximately 400 million incident cases of the studied disorders were estimated globally in 2023. Anorexia nervosa and bipolar disorder had the highest strength centrality, indicating broader conditional connections with other disorders. Australia, the United States, Iran, China and Finland showed relatively large delta-centrality values, suggesting greater influence on estimated centrality than most countries. Strength centrality stability was acceptable but modest. These findings provide a descriptive, hypothesis-generating view of how modeled incidence rates covary across countries and should not be interpreted as individual-level comorbidity, causal influence or direct policy priority.

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Type
Research Article
Creative Commons
Creative Common License - CCCreative Common License - BY
This is an Open Access article, distributed under the terms of the Creative Commons Attribution licence (http://creativecommons.org/licenses/by/4.0), which permits unrestricted re-use, distribution and reproduction, provided the original article is properly cited.
Copyright
© The Author(s), 2026. Published by Cambridge University Press
Figure 0

Table 1. Incidence and age-standardized rates (per 100,000 population) of major mental disorders among world countries, 2023Table 1. long description.

Figure 1

Figure 1. Ecological network of country-level age-standardized incidence rates for 10 mental disorders and SDI across 204 countries and territories, 2023.Note: Nodes represent disorder-specific incidence rates or SDI. Node size is shown uniformly for readability and does not encode an additional statistic. Edges represent regularized conditional associations after adjustment for all other nodes in the network. Blue edges indicate positive associations and red edges indicate negative associations. Thicker edges indicate larger absolute edge weights. The figure depicts ecological covariation across countries and should not be interpreted as individual-level comorbidity.Figure 1. long description.

Figure 2

Figure 2. Centrality indices for the ecological network shown in Figure 1.Note: Strength was the primary centrality metric used for substantive interpretation in the present study. Closeness and betweenness are displayed for completeness but are interpreted cautiously because the stability of centrality estimates was modest.Figure 2. long description.

Figure 3

Figure 3. Country-level distribution of age-standardized incidence rates for anorexia nervosa (A) and bipolar disorder (B) in 2023.Figure 3. long description.

Figure 4

Figure 4. Country-level delta-centrality maps for anorexia nervosa (A) and bipolar disorder (B) in the ecological incidence network.Note: Positive delta values indicate that removing a country reduces the estimated strength centrality of the focal disorder in the full network; negative values indicate that removing a country increases it. These values represent influence on the estimated all-countries network, not causal importance or policy priority.Figure 4. long description.

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Author comment: Global country-level network analysis of mental disorders — R0/PR1

Comments

Editor-in-Chief, Global Mental Health

Saturday, February 07, 2026

Dear Editor,

We are pleased to submit our manuscript titled “Global Country-Level Network Analysis of Mental Disorders” for consideration for publication in Global Mental Health.

This study presents the first global ecological network analysis of mental disorders across 204 countries and territories, using comparable incidence data from the Global Burden of Disease (GBD) 2023 study. Before conducting this work, we performed an extensive literature search across PubMed, Scopus, Web of Science, Embase, and Google Scholar. Although many studies have examined individual mental disorders or comorbidity patterns in clinical samples, no study to date has mapped the worldwide network structure of mental disorders at the population level, nor has any research identified which disorders exert the strongest global influence or which countries contribute most to the centrality of these disorders. Therefore, our study fills a clear and important gap in the global mental health literature.

Methodologically, this manuscript introduces a novel mixed graphical model approach for estimating partial correlation networks of mental disorders using country-level incidence data. By applying LASSO regularization, bootstrapping procedures, and a newly defined delta centrality metric, the study captures not only the global central disorders but also country-specific influence on the architecture of the mental health network.

Our results reveal that anorexia nervosa and bipolar disorder occupy central positions in the global incidence network, forming key bridges among multiple disorder domains. Importantly, we show that countries such as Australia, the United States, Iran, China, Brazil, and Finland contribute disproportionately to shaping these central disorders, even when their incidence rates are not the highest. These findings provide new insights into cross-country mental health dynamics, highlighting that national influence in the global mental health network extends beyond disease burden alone.

This manuscript offers several contributions of significance to the field of psychiatry:

Novelty: It is the first ecological network analysis of mental disorders at the global level.

Methodological innovation: It integrates network science, epidemiology, and advanced modeling to reveal structural patterns that traditional incidence comparisons cannot detect.

Policy relevance: By identifying globally central disorders and high-impact countries, the study provides actionable evidence for prioritizing prevention strategies, targeting mental health resources, and informing international collaboration.

Public health importance: The results illustrate how focusing on central disorders may reduce multiple mental health burdens simultaneously.

Given the global scope, methodological rigor, and clear public health relevance, we believe our manuscript fits well with the aims and readership of Global Mental Health, which emphasizes innovative research addressing mental health at clinical, societal, and global levels.

We confirm that this manuscript is not under review in any other journal. The authors declare no conflicts of interest, and all authors have approved the final version of the manuscript. We would be pleased to provide any additional information if required.

Thank you very much for considering our manuscript for publication. We hope that the originality and relevance of our findings will be of strong interest to the reviewers and the editorial team.

Sincerely,

Tania Dehesh,

Associate Professor of Biostatistics,

Department of Biostatistics and Epidemiology,

Kerman University of Medical Sciences,

Kerman, Iran.

Review: Global country-level network analysis of mental disorders — R0/PR2

Conflict of interest statement

I declare that i have no competing interests

Comments

Overall Assessment

I would like to commend the authors for this well-conducted and insightful study. The paper presents an innovative global country-level network analysis of mental disorders, using Global Burden of Disease (GBD) 2023 data to explore cross-country patterns in the incidence of ten mental disorders. The study is timely and contributes global mental health literature. Additionally, the findings that anorexia nervosa and bipolar disorders were central nodes in the global incidence network offer interesting insights that may stimulate future research on cross-national determinants of mental health patterns. However, several methodological clarifications and interpretational issues should be addressed to strengthen the manuscript and improve its clarity and policy relevance.

Specif comments

Abstract

1. The statement that “anorexia nervosa and bipolar disorder emerged as the most central conditions” may be unclear for readers unfamiliar with network analysis. The authors may consider clarifying what centrality represents in this ecological network context

2. The abstract notes that several countries “showed strong influence on disorder centrality.” It would be helpful to clarify what this means for good readability.

3. The manuscript cites the GBD 2021 estimate that 13.9% of the global population is affected by mental disorders. Since the study uses GBD 2023 data, it would strengthen the introduction to reference the most recent global burden estimates if available.

4. The text correctly notes that ecological networks reflect associations between country-level incidence rates. However, it may be helpful to more explicitly emphasize the distinction between ecological co-variation and individual-level comorbidity, to prevent misinterpretation.

5. The authors includes Major ten mental disorders, but it is not clear why these specific conditions were selected as “major” They should clarify whether these represent all mental disorders with incidence estimates in GBD 2023, or whether other mental health conditions were excluded.

6. The authors chose a Mixed Graphical Model (MGM) because the Kolmogorov–Smirnov tests indicated non-normal distributions. Since all variables appear to be continuous incidence rates, it would be helpful to clarify whether any categorical variables were present or whether the MGM was used purely as a semiparametric approach for non-normal data.

7. The manuscript briefly mentions negative conditional associations between disorders. It would be helpful to clarify whether these edges are statistically meaningful or relatively weak, and whether their interpretation should be approached cautiously given regularization.

8. Interpretation of centrality values: Anorexia nervosa was identified as the most central node despite having the lowest global incidence rate. A short explanation of how network centrality can differ from prevalence or incidence magnitude would improve interpretability.

9. The correlation stability coefficient for node strength centrality is 0.28, which indicates acceptable but relatively modest stability. The authors may wish to emphasize this point more clearly when interpreting the centrality rankings.

10. The discussion suggests that anorexia nervosa and bipolar disorder may represent important nodes in the global mental health network. It would be useful to emphasize that this reflects statistical centrality within an ecological network, rather than implying clinical priority or causal influence.

11. The interpretation of countries with high delta centrality (e.g., Australia, the United States, Iran, and China) could be expanded slightly. These patterns may reflect data availability, diagnostic practices, or health system differences, rather than purely epidemiological differences.

12. The authors note that all countries contribute equally to the analysis regardless of population size. It may be useful to briefly discuss whether population-weighted sensitivity analyses might produce different network structures.

13. The study does not incorporate the uncertainty intervals associated with GBD estimates. The authors might consider discussing whether future work could propagate this uncertainty into network estimation.

14. The figures are informative but may be difficult to interpret for readers unfamiliar with network analysis. Consider expanding the figure legends to briefly explain:

• what node size represents

• what edge thickness indicates

• the meaning of positive vs negative edges

• the interpretation of delta centrality maps.

In general, the manuscript presents an interesting application of network analysis to examine cross-country patterns in the incidence of mental disorders using Global Burden of Disease 2023 data across 204 countries and territories.

Review: Global country-level network analysis of mental disorders — R0/PR3

Conflict of interest statement

Reviewer declares none.

Comments

Overall comments:

While this manuscript shows potential, it is not yet suitable for publication in its current form. I encourage the authors to carefully address the comments and suggestions provided, which will help improve the overall quality of the manuscript.

Introduction:

You have explained gaps in knowledge in a structured way. I would like to request that you include a section on the significance of this study at the end of the introduction section. It would be great if you could include the theoretical or conceptual framework along with the significance of this study.

Methods

You started with the data source; you did not introduce or explain the participants in this study. Could you please include a description of your participants?

I am curious to know the rationale for selecting 10 major mental disorders. Why is it not 11 or 9? How did you identify your selected mental disorders as major mental disorders? Additionally, I am also keenly interested to know about anxiety disorders; anxiety-based disorder is an umbrella term where several mental disorders fall under this category. Could you please clarify how this category of disorder was conceptualized and utilised in your study, and which specific anxiety-related conditions were included within the scope of your analysis?

Moreover, you did not include the research design. Could you include a section for research design, where a justification for employing it would strengthen the credibility of this research?

Though you used a secondary data source, it is still important to explain the ethical considerations for your study because the data contained information about human beings. It is crucial to include the ethical considerations applied to collect data by the Global Burden of Disease Study.

Discussion

For lines 47-59 (page 8 of 16), you have explained the findings of this study. Could you please compare and contextualize this finding with recent relevant studies? In particular, what might explain the co-occurrence of bipolar disorder and anorexia nervosa? I raise this question because, as a clinical psychologist, I am especially interested in understanding the basis of this comorbidity. Across my 11 years of clinical experience, I have not encountered clients presenting with both conditions simultaneously. A brief discussion of possible explanatory pathways would strengthen the manuscript and offer useful insight to readers, clinicians, and future researchers.

For the consecutive paragraphs, you discussed functionality of psychopathology networks, granularity networks, network framework to an ecological level, and ecological patterns; which are irrelevant for the discussion sections. Methodology will be the perfect section to explain these issues. I would recommend revamping the discussion sections following the critical discussion of the findings of this study, not the methodological (e.g., data analysis tools or procedures). Readers are interested in knowing the author’s voice regarding the findings.

Review: Global country-level network analysis of mental disorders — R0/PR4

Conflict of interest statement

Reviewer declares none.

Comments

Thank you for the opportunity to review this manuscript. This is a timely and ambitious paper that uses GBD 2023 country-level incidence estimates to examine the ecological network structure of 10 mental disorders across 204 countries and territories. The manuscript has several strengths, including the originality of the question, the broad global scope, the effort to incorporate SDI, and the authors’ repeated acknowledgment that the analysis is descriptive and hypothesis-generating rather than causal. I also appreciated the attempt to move beyond disorder centrality alone and examine country-level influence through the delta-centrality approach. Overall, I found the paper interesting and potentially valuable.

That said, I think the manuscript requires substantial revision before it is ready for publication. My main concerns relate to conceptual framing, methodological justification, interpretation of centrality and stability, and some internal inconsistencies in the presentation of the results.

Major Comments

1) The distinction between ecological association and individual-level comorbidity needs to be tightened throughout the manuscript. The paper does acknowledge that this is an ecological study based on country-level incidence rates rather than individual-level psychiatric data, and that causal or individual comorbidity inferences should not be made. However, the manuscript still uses language such as “comorbidity network,” including in Figure 1, and at several points the framing drifts back toward interpretations that sound closer to individual-level disorder comorbidity than to cross-country co-variation in modeled incidence estimates. I would strongly encourage the authors to revise the language throughout so that the framing remains consistently ecological. This is important not only stylistically, but conceptually, to avoid ecological fallacy and to keep the claims aligned with the study design.

2) The rationale for the modeling approach should be explained more clearly. The Methods state that the authors tested normality, found significant deviations, and therefore used a mixed graphical model with LASSO regularization and EAIC-based tuning. However, all variables appear to be continuous country-level measures, and the manuscript would benefit from a fuller explanation of why this specific model was preferable here, how the estimated edges should be interpreted, and whether those edges can be described straightforwardly as partial correlations in this setting. A brief justification of the analytic choices and, ideally, at least one sensitivity analysis using an alternative reasonable specification would strengthen the paper considerably.

3) The interpretation of centrality results should be more cautious. The manuscript places substantial interpretive weight on the centrality findings, especially the prominence of anorexia nervosa and bipolar disorder. However, the reported strength centrality stability is limited, with a CS coefficient of 0.28, which suggests that the ranking of central nodes should be interpreted cautiously. I would suggest focusing the primary interpretation on strength centrality and being more restrained in discussing closeness and betweenness unless the authors can provide a stronger justification for emphasizing those metrics. Relatedly, the abstract, impact statement, and discussion currently read somewhat more confidently than the stability results seem to warrant.

4) There is an important internal inconsistency in the Results that should be corrected. The manuscript states that anorexia nervosa had relatively strong positive associations with bipolar disorder, bulimia nervosa, and schizophrenia. However, the Results later note that one of the weak negative edges was between anorexia nervosa and bipolar disorder, and the supplementary weighted adjacency matrix also lists the anorexia nervosa–bipolar disorder edge as negative (-0.39). This inconsistency affects one of the paper’s central substantive interpretations and should be carefully checked and corrected throughout the Results, Discussion, figure labels, and any supplementary material.

5) The robustness of the findings would be stronger with at least one or two empirical sensitivity checks. I appreciated that the limitations section is candid and thoughtful. In particular, the authors appropriately note that the study is based on modeled GBD estimates, does not propagate uncertainty intervals into the network analysis, weights all countries equally regardless of population size, and includes only SDI as a contextual variable. These are important limitations. At the same time, because these issues are so central to the interpretation of the findings, I think the manuscript would be much stronger if at least some were addressed analytically rather than only narratively. For example, a population-weighted analysis, a regional sensitivity analysis, or a comparison with an alternative network specification would help readers assess how robust the main findings actually are.

6) The implications section would benefit from more restraint. The discussion is appropriately careful in several places, but some statements still edge toward policy or intervention relevance more strongly than the design supports. In particular, language suggesting “priority settings” or “actionable insights” may be too strong for a cross-sectional ecological network based on modeled incidence estimates with modest centrality stability. I would encourage the authors to keep the paper’s contribution centered on descriptive patterning and hypothesis generation, rather than implying direct policy prioritization from the current results.

Minor Comments

1) Please clarify the rationale for selecting these 10 disorders. Given the paper’s global framing, readers may wonder why these specific disorders were included and others were not. A brief justification would improve transparency.

2) It would help to unpack the distinction between centrality and burden more explicitly. Table 1 shows that anorexia nervosa had the lowest age-standardized incidence rate, yet it emerged as the most central node. That is an interesting finding, but it could easily be misread. A brief explanation clarifying that centrality does not equate to burden, prevalence, or policy priority would help readers interpret the results more appropriately.

3) The data availability statement should be revised for consistency. The manuscript states that the analysis used publicly available GBD 2023 data, yet the data availability statement says the datasets are available from the corresponding author upon reasonable request. This should be reconciled. It may be more accurate to state that the underlying data are publicly available from GBD/IHME and to specify separately whether any derived analytic files or code are available on request.

Recommendation: Global country-level network analysis of mental disorders — R0/PR5

Comments

Please address all the revisions suggested by the reviewers.

Decision: Global country-level network analysis of mental disorders — R0/PR6

Comments

No accompanying comment.

Author comment: Global country-level network analysis of mental disorders — R1/PR7

Comments

Dear Prof. Chibanda,

thank you to you and to the reviewers for the positive review and helpful suggestions for improving our article. We greatly appreciate these important comments and have addressed all comments. Thus, we would like to resubmit the revised version of our article for you to review. Below we address all comments point by point.

Response to Reviewers

Reviewer 1

Overall Assessment

Comment:

I would like to commend the authors for this well-conducted and insightful study. The paper presents an innovative global country-level network analysis of mental disorders, using Global Burden of Disease (GBD) 2023 data to explore cross-country patterns in the incidence of ten mental disorders. The study is timely and contributes global mental health literature. Additionally, the findings that anorexia nervosa and bipolar disorders were central nodes in the global incidence network offer interesting insights that may stimulate future research on cross-national determinants of mental health patterns. However, several methodological clarifications and interpretational issues should be addressed to strengthen the manuscript and improve its clarity and policy relevance.

Response: We thank the reviewer for this constructive and encouraging assessment. We appreciate the recognition of the originality and global scope of the study. In response to the points raised, we have revised the manuscript to strengthen the conceptual framing, clarify the ecological interpretation of the network, improve the methodological explanation, correct internal inconsistencies, and moderate policy-oriented language so that the claims remain closely aligned with the study design.

Specific comments

1. The statement that “anorexia nervosa and bipolar disorder emerged as the most central conditions” may be unclear for readers unfamiliar with network analysis. The authors may consider clarifying what centrality represents in this ecological network context

Response: We agree. We have revised the Abstract, Impact Statement, Results, and Discussion to clarify that centrality in this ecological network refers to the extent to which a disorder’s country-level incidence rate is conditionally connected to other nodes in the network after accounting for the remaining variables. We now also state explicitly that centrality does not imply burden, clinical priority, or causal importance.

2. The abstract notes that several countries “showed strong influence on disorder centrality.” It would be helpful to clarify what this means for good readability.

Response: Thank you. We have clarified this in the Abstract and Methods by explaining that country influence was assessed using a case-deletion delta-centrality analysis. We now state that countries with larger positive delta-centrality values are those whose omission leads to a larger reduction in the estimated strength centrality of the focal disorder in the full network.

3. The manuscript cites the GBD 2021 estimate that 13.9% of the global population is affected by mental disorders. Since the study uses GBD 2023 data, it would strengthen the introduction to reference the most recent global burden estimates if available.

Response: We agree. We have revised the opening paragraph of the Introduction so that it refers to the most recent available GBD burden framing and no longer creates a mismatch between the background discussion and the study year. We also simplified the wording so that the paragraph remains valid even if exact burden estimates are updated in newer GBD outputs.

4. The text correctly notes that ecological networks reflect associations between country-level incidence rates. However, it may be helpful to more explicitly emphasize the distinction between ecological co-variation and individual-level comorbidity, to prevent misinterpretation.

Response: We fully agree. This distinction has now been strengthened throughout the manuscript. We have replaced phrases such as “comorbidity network” with “ecological network of country-level incidence rates” where appropriate, including in Figure 1. We also added explicit language in the Abstract, Introduction, Results, Discussion, and figure legends to clarify that the results reflect ecological co-variation rather than individual-level comorbidity.

5. The authors includes Major ten mental disorders, but it is not clear why these specific conditions were selected as “major” They should clarify whether these represent all mental disorders with incidence estimates in GBD 2023, or whether other mental health conditions were excluded.

Response: Thank you. We have added a dedicated explanation in the Methods to clarify the rationale for disorder selection. We now explain that the present analysis used a parsimonious set of 10 disorder-level variables drawn from the broader GBD mental disorders framework. We clarify that depressive disorders were represented by major depressive disorder and dysthymia, eating disorders by anorexia nervosa and bulimia nervosa, and anxiety disorders were retained as the aggregate GBD category. We also clarify that the study did not aim to include every mental health condition reported in GBD and explain why some broader residual categories were not included.

6. The authors chose a Mixed Graphical Model (MGM) because the Kolmogorov–Smirnov tests indicated non-normal distributions. Since all variables appear to be continuous incidence rates, it would be helpful to clarify whether any categorical variables were present or whether the MGM was used purely as a semiparametric approach for non-normal data.

Response: We agree that this required clarification. We now explicitly state in the Methods that no categorical variables were included and that all analysed variables were continuous country-level measures. We further clarify that the mgm framework was used as a regularized estimation approach for a sparse ecological network of continuous variables under clear departures from normality, and we now describe the resulting edges as regularized conditional associations rather than relying only on the term “partial correlations”.

7. The manuscript briefly mentions negative conditional associations between disorders. It would be helpful to clarify whether these edges are statistically meaningful or relatively weak, and whether their interpretation should be approached cautiously given regularization.

Response: Thank you. We have revised the Results and Discussion to describe the negative edges more carefully. We now note that these are retained conditional associations in a regularized ecological network and should be interpreted cautiously. We also corrected the inconsistency regarding the anorexia nervosa and bipolar disorder edge, which had been incorrectly described as positive in one part of the manuscript.

8. Interpretation of centrality values: Anorexia nervosa was identified as the most central node despite having the lowest global incidence rate. A short explanation of how network centrality can differ from prevalence or incidence magnitude would improve interpretability.

Response: We agree. We have added a brief explanation in both the Results and Discussion clarifying that centrality reflects connectedness within the network, not burden or frequency. We now state explicitly that a disorder with relatively low incidence can still be statistically central if its country-level incidence pattern is conditionally associated with multiple other nodes.

9. The correlation stability coefficient for node strength centrality is 0.28, which indicates acceptable but relatively modest stability. The authors may wish to emphasize this point more clearly when interpreting the centrality rankings.

Response: We agree and have revised the Abstract, Results, and Discussion accordingly. We now state more clearly that strength centrality stability was acceptable but modest, and that the ranking of central nodes should therefore be interpreted cautiously.

10. The discussion suggests that anorexia nervosa and bipolar disorder may represent important nodes in the global mental health network. It would be useful to emphasize that this reflects statistical centrality within an ecological network, rather than implying clinical priority or causal influence.

Response: Thank you. We have revised the Abstract, Impact Statement, Discussion, and Conclusions to make this point explicit. Terms such as “important” have been replaced or qualified with “statistically central,” and we now state clearly that the findings do not identify clinical priorities, intervention targets, or causal drivers.

11. The interpretation of countries with high delta centrality (e.g., Australia, the United States, Iran, and China) could be expanded slightly. These patterns may reflect data availability, diagnostic practices, or health system differences, rather than purely epidemiological differences.

Response: We agree. The Discussion has been expanded to note that country-level influence in the delta-centrality analysis may reflect a range of factors, including epidemiologic profiles, diagnostic practices, reporting systems, service configurations, and broader contextual differences. We also emphasize that these values indicate influence on the estimated all-countries network rather than causal importance.

12. The authors note that all countries contribute equally to the analysis regardless of population size. It may be useful to briefly discuss whether population-weighted sensitivity analyses might produce different network structures.

Response: Thank you. We have expanded the Limitations section to discuss this more explicitly. We now note that population-weighted analyses may produce different network structures, particularly for globally common disorders, and that such analyses would address a different estimand from the present country-level ecological analysis.

13. The study does not incorporate the uncertainty intervals associated with GBD estimates. The authors might consider discussing whether future work could propagate this uncertainty into network estimation.

Response: We agree. We have added text to the Limitations section noting that future work could incorporate uncertainty by drawing repeated values from the GBD uncertainty intervals and re-estimating the network to obtain uncertainty-aware distributions for edge weights and centrality metrics.

14. The figures are informative but may be difficult to interpret for readers unfamiliar with network analysis. Consider expanding the figure legends to briefly explain: • what node size represents • what edge thickness indicates • the meaning of positive vs negative edges • the interpretation of delta centrality maps. In general, the manuscript presents an interesting application of network analysis to examine cross-country patterns in the incidence of mental disorders using Global Burden of Disease 2023 data across 204 countries and territories.

Response: We agree. We have revised the figure legends to explain what the nodes and edges represent, how edge thickness should be interpreted, the meaning of positive and negative edges, and how the delta-centrality maps should be read. We now also state explicitly that node size is displayed uniformly for readability and does not represent an additional statistic.

Reviewer 2

Overall comments

While this manuscript shows potential, it is not yet suitable for publication in its current form. I encourage the authors to carefully address the comments and suggestions provided, which will help improve the overall quality of the manuscript.

Response: We thank the reviewer for the thoughtful and constructive feedback. We have revised the manuscript substantially in response to these comments. The Introduction, Methods, Discussion, and reporting statements have all been strengthened to improve conceptual clarity, transparency, and alignment between the study design and the interpretation of the findings.

Introduction

You have explained gaps in knowledge in a structured way. I would like to request that you include a section on the significance of this study at the end of the introduction section. It would be great if you could include the theoretical or conceptual framework along with the significance of this study.

Response: We agree and have added a concluding paragraph to the Introduction that addresses the significance and conceptual framing of the study. This paragraph now situates the work within network theory, explains how that framework is being extended to an ecological country-level setting, and clarifies the descriptive and hypothesis-generating contribution of the study.

Methods

You started with the data source; you did not introduce or explain the participants in this study. Could you please include a description of your participants?

Response: Thank you. We have added a “Research design” and “Study units” subsection at the beginning of the Methods. Because this was an ecological secondary analysis of aggregate country-level data, there were no individual participants. We now state clearly that the units of analysis were 204 countries and territories and avoid participant-based language.

I am curious to know the rationale for selecting 10 major mental disorders. Why is it not 11 or 9? How did you identify your selected mental disorders as major mental disorders? Additionally, I am also keenly interested to know about anxiety disorders; anxiety-based disorder is an umbrella term where several mental disorders fall under this category. Could you please clarify how this category of disorder was conceptualized and utilised in your study, and which specific anxiety-related conditions were included within the scope of your analysis?

Response: We appreciate this important point and have revised the Methods accordingly. We now explain the rationale for selecting the 10 disorder categories and clarify that the goal was to analyse a parsimonious set of broadly comparable GBD disorder categories rather than every possible mental health condition. We also clarify how these variables map onto the broader GBD mental disorders framework. In addition, we now specify that “anxiety disorders” was treated as the aggregate GBD category and we identify the anxiety-related conditions included in that category according to the relevant IHME methods appendix.

Moreover, you did not include the research design. Could you include a section for research design, where a justification for employing it would strengthen the credibility of this research?

Response: We agree. We have added a “Research design” subsection to the Methods. This section now states that the study was a cross-sectional ecological study based on publicly available aggregate secondary data and explains why this design was appropriate for the aim of examining cross-country co-variation in modelled incidence rates.

Though you used a secondary data source, it is still important to explain the ethical considerations for your study because the data contained information about human beings. It is crucial to include the ethical considerations applied to collect data by the Global Burden of Disease Study.

Response: Thank you. We have expanded the Ethics Statement to clarify that the present study used publicly available, de-identified, aggregate country-level data and did not involve identifiable individual-level information or direct contact with human participants. We also now acknowledge that the underlying GBD study applies its own governance and ethical procedures to primary data acquisition and modelling, whereas the present study relied only on the public aggregate outputs.

Discussion

For lines 47-59 (page 8 of 16), you have explained the findings of this study. Could you please compare and contextualize this finding with recent relevant studies? In particular, what might explain the co-occurrence of bipolar disorder and anorexia nervosa? I raise this question because, as a clinical psychologist, I am especially interested in understanding the basis of this comorbidity. Across my 11 years of clinical experience, I have not encountered clients presenting with both conditions simultaneously. A brief discussion of possible explanatory pathways would strengthen the manuscript and offer useful insight to readers, clinicians, and future researchers.

Response: We appreciate this important observation. During revision, we identified and corrected an internal inconsistency: the anorexia nervosa and bipolar disorder edge had been described as positive in one part of the Results, whereas the supplementary adjacency matrix showed it as negative. We have corrected this throughout the manuscript. As a result, the revised Discussion no longer suggests a positive ecological association between these two disorders. Instead, we now emphasize that both disorders were highly central by strength, while the retained conditional edge between them was negative in the ecological network. We have also added a more cautious discussion that situates the findings within the relevant literature and makes clear that ecological network findings should not be interpreted as evidence of patient-level comorbidity. We note that any shared pathways would require individual-level and longitudinal investigation.

For the consecutive paragraphs, you discussed functionality of psychopathology networks, granularity networks, network framework to an ecological level, and ecological patterns; which are irrelevant for the discussion sections. Methodology will be the perfect section to explain these issues. I would recommend revamping the discussion sections following the critical discussion of the findings of this study, not the methodological (e.g., data analysis tools or procedures). Readers are interested in knowing the author’s voice regarding the findings.

Response: We agree and have substantially restructured the Discussion. Methodological explanation has been shortened in the Discussion and moved or condensed into the Methods and Limitations. The revised Discussion now focuses more directly on the substantive interpretation of the findings, their contextualization within the literature, the distinction between ecological patterning and individual-level comorbidity, and the appropriate limits of inference.

Reviewer 3

Overall comments

Thank you for the opportunity to review this manuscript. This is a timely and ambitious paper that uses GBD 2023 country-level incidence estimates to examine the ecological network structure of 10 mental disorders across 204 countries and territories. The manuscript has several strengths, including the originality of the question, the broad global scope, the effort to incorporate SDI, and the authors’ repeated acknowledgment that the analysis is descriptive and hypothesis-generating rather than causal. I also appreciated the attempt to move beyond disorder centrality alone and examine country-level influence through the delta-centrality approach. Overall, I found the paper interesting and potentially valuable.

Response: We thank the reviewer for this thoughtful and encouraging assessment. We appreciate the recognition of the manuscript’s originality, breadth, and its descriptive and hypothesis-generating focus. In response to the concerns raised, we have revised the conceptual framing, methodological explanation, interpretation of centrality, internal consistency of the Results, and the discussion of limitations.

Major Comments

1. The distinction between ecological association and individual-level comorbidity needs to be tightened throughout the manuscript. The paper does acknowledge that this is an ecological study based on country-level incidence rates rather than individual-level psychiatric data, and that causal or individual comorbidity inferences should not be made. However, the manuscript still uses language such as “comorbidity network,” including in Figure 1, and at several points the framing drifts back toward interpretations that sound closer to individual-level disorder comorbidity than to cross-country co-variation in modelled incidence estimates. I would strongly encourage the authors to revise the language throughout so that the framing remains consistently ecological. This is important not only stylistically, but conceptually, to avoid ecological fallacy and to keep the claims aligned with the study design.

Response: We fully agree and have revised the manuscript accordingly. The term “comorbidity network” has been replaced with “ecological network of country-level incidence rates” where appropriate, including in Figure 1. We also strengthened the ecological framing throughout the Abstract, Introduction, Results, Discussion, and Conclusions to ensure that the language remains aligned with the study design and avoids ecological fallacy.

2. The rationale for the modeling approach should be explained more clearly. The Methods state that the authors tested normality, found significant deviations, and therefore used a mixed graphical model with LASSO regularization and EAIC-based tuning. However, all variables appear to be continuous country-level measures, and the manuscript would benefit from a fuller explanation of why this specific model was preferable here, how the estimated edges should be interpreted, and whether those edges can be described straightforwardly as partial correlations in this setting. A brief justification of the analytic choices and, ideally, at least one sensitivity analysis using an alternative reasonable specification would strengthen the paper considerably.

Response: We thank the reviewer for this important comment. We have revised the Methods to clarify that all variables were continuous country-level measures and that no categorical variables were included. We now explain more explicitly that the mgm framework was used as a flexible regularized estimation approach for a sparse ecological network under clear departures from normality, and we have revised the text so that the retained edges are described as regularized conditional associations rather than interpreted too directly as classical partial correlations. We agree that an alternative-specification sensitivity analysis could be informative. However, the purpose of the present study was to estimate a single pre-specified global country-level ecological network rather than to compare alternative estimators. We therefore addressed this concern in the current revision by strengthening the methodological justification, narrowing the interpretation of the edges and centrality indices, and expanding the Limitations section to identify alternative model specifications as an important direction for future research.

3. The interpretation of centrality results should be more cautious. The manuscript places substantial interpretive weight on the centrality findings, especially the prominence of anorexia nervosa and bipolar disorder. However, the reported strength centrality stability is limited, with a CS coefficient of 0.28, which suggests that the ranking of central nodes should be interpreted cautiously. I would suggest focusing the primary interpretation on strength centrality and being more restrained in discussing closeness and betweenness unless the authors can provide a stronger justification for emphasizing those metrics. Relatedly, the abstract, impact statement, and discussion currently read somewhat more confidently than the stability results seem to warrant.

Response: We agree. The revised manuscript now emphasizes strength centrality as the primary metric for interpretation and treats closeness and betweenness as secondary, descriptive metrics shown for completeness. We have also revised the Abstract, Impact Statement, Results, and Discussion to adopt more cautious language and to state explicitly that the CS coefficient for strength centrality indicates acceptable but modest stability.

4. There is an important internal inconsistency in the Results that should be corrected. The manuscript states that anorexia nervosa had relatively strong positive associations with bipolar disorder, bulimia nervosa, and schizophrenia. However, the Results later note that one of the weak negative edges was between anorexia nervosa and bipolar disorder, and the supplementary weighted adjacency matrix also lists the anorexia nervosa–bipolar disorder edge as negative (-0.39). This inconsistency affects one of the paper’s central substantive interpretations and should be carefully checked and corrected throughout the Results, Discussion, figure labels, and any supplementary material.

Response: We thank the reviewer for identifying this inconsistency. We carefully checked the Results against the supplementary adjacency matrix and corrected the text throughout. The revised manuscript now states that the anorexia nervosa-bipolar disorder edge is negative, not positive, and we removed any interpretation that depended on the earlier erroneous description. We also harmonised the wording across the Results, Discussion, figure captions, and supplementary material.

5. The robustness of the findings would be stronger with at least one or two empirical sensitivity checks. I appreciated that the limitations section is candid and thoughtful. In particular, the authors appropriately note that the study is based on modeled GBD estimates, does not propagate uncertainty intervals into the network analysis, weights all countries equally regardless of population size, and includes only SDI as a contextual variable. These are important limitations. At the same time, because these issues are so central to the interpretation of the findings, I think the manuscript would be much stronger if at least some were addressed analytically rather than only narratively. For example, a population-weighted analysis, a regional sensitivity analysis, or a comparison with an alternative network specification would help readers assess how robust the main findings actually are.

Response: We appreciate this thoughtful suggestion and agree that additional empirical sensitivity analyses would be valuable extensions of this work. However, some of the proposed analyses would address related but non-identical questions rather than functioning as straightforward robustness checks. In particular, the equal weighting of countries in the present analysis was intentional because the unit of analysis was the country; a population-weighted analysis would shift the estimand from country-level ecological structure to a population-weighted global structure in which a small number of highly populous countries would dominate the estimates. Similarly, regional network analyses would involve substantially smaller sample sizes within each network and could yield less stable or less comparable estimates for an 11-node regularised model. Because the purpose of the present paper was to provide a single global country-level descriptive ecological analysis, we did not add these alternative analyses in the current revision. Instead, we strengthened the Limitations section, tempered the interpretation throughout the manuscript, and now identify population-weighted, regional, and alternative-specification analyses as important priorities for future research.

6. The implications section would benefit from more restraint. The discussion is appropriately careful in several places, but some statements still edge toward policy or intervention relevance more strongly than the design supports. In particular, language suggesting “priority settings” or “actionable insights” may be too strong for a cross-sectional ecological network based on modeled incidence estimates with modest centrality stability. I would encourage the authors to keep the paper’s contribution centered on descriptive patterning and hypothesis generation, rather than implying direct policy prioritization from the current results.

Response: We agree and have revised the manuscript accordingly. Language such as “actionable insights” and “priority settings” has been softened or replaced in the Abstract, Impact Statement, Discussion, and Conclusions. The revised text now consistently frames the contribution as descriptive, comparative, and hypothesis-generating rather than directly policy-prescriptive.

Minor Comments

1. Please clarify the rationale for selecting these 10 disorders. Given the paper’s global framing, readers may wonder why these specific disorders were included and others were not. A brief justification would improve transparency.

Response: Thank you. We have added a clearer justification for disorder selection in the Methods. We now explain how the 10 analysed variables map onto the broader GBD mental disorders framework and why this parsimonious set of variables was selected for the ecological network.

2. It would help to unpack the distinction between centrality and burden more explicitly. Table 1 shows that anorexia nervosa had the lowest age-standardized incidence rate, yet it emerged as the most central node. That is an interesting finding, but it could easily be misread. A brief explanation clarifying that centrality does not equate to burden, prevalence, or policy priority would help readers interpret the results more appropriately.

Response: We agree. We have added this clarification to both the Results and Discussion. The revised text now explains that centrality reflects network connectedness, whereas incidence reflects burden, and that the two should not be conflated.

3. The data availability statement should be revised for consistency. The manuscript states that the analysis used publicly available GBD 2023 data, yet the data availability statement says the datasets are available from the corresponding author upon reasonable request. This should be reconciled. It may be more accurate to state that the underlying data are publicly available from GBD/IHME and to specify separately whether any derived analytic files or code are available on request.

Response: We agree and have revised the Data Availability Statement for consistency. The revised statement now clarifies that the underlying GBD 2023 country-level data are publicly available from IHME and that derived analytic files and R code used for the present analyses are available from the corresponding author upon reasonable request.

We hope you find our revision has adequately addressed all comments and look forward to hearing from you.

Kind regards,

Tania and colleagues

Review: Global country-level network analysis of mental disorders — R1/PR8

Conflict of interest statement

Reviewer declares none.

Comments

Firstly, thank you to the authors for addressing the comments, though they need to work a little bit to improve the manuscript, particularly the discussion section. Here is my general feedback for the discussion section:

I read the discussion section several times, but I lost interest in it because of the repetition of the results sections. For instance, the second paragraph covers the explanation of the findings, mostly focused on the statistical analysis, where the impact of these findings or the application needs to be explained.

For the first paragraph, in lines 51-52, the authors narrated some comments against the findings; for example, the findings were descriptive and did not imply causal influence and so on. Could you please explain the implications of this finding?

The authors can think outside the box, meaning expanding the search scope to include the mental health literature. Let me give an example, instead of confining within the statistical explanation, authors can validate and compare the findings with existing literature. Eating disorders and mood disorders are found as comorbid disorders, which the literature highlights as a finding; the authors can discuss it.

What the delta-centrality analysis or other statistical analysis found needs to expalin them in the results section; the discussion section demands to explain the findings, not the meaning of the proposition of the delta-centrality analysis. Please claim your proposition with proper citation(s). Please introduce one concept in one paragraph, introducing multiple concepts in a paragraph creating confusion among readers.

The last paragraph of this discussion should be placed under strengths and limitations.

Lastly, please revisit the purpose of this study; somehow, the discussion sections misalign with the aim of this study. For example, one of the practical values of this study is hypothesis-generating. This concept suddenly pops up in the last paragraph of the discussion section.

The discussion section did not discuss the second objective of this study, how the centrality of the most connected disorders varies from country to country.

I strongly suggest revisiting the purpose of this study and revamping the discussion section.

Thank you.

Review: Global country-level network analysis of mental disorders — R1/PR9

Conflict of interest statement

None

Comments

The authors have responded to all my comments and I have no reservation

Recommendation: Global country-level network analysis of mental disorders — R1/PR10

Comments

Thank you for submitting the revised paper. Although, the paper is improved, the reviewer and I are still concerned about your account of the purpose of the study and the discussion of the findings.

I am pleased to offer one further chance to address these concerns and to rewrite the discussion and bring the paper to a publishable standard.

Decision: Global country-level network analysis of mental disorders — R1/PR11

Comments

No accompanying comment.

Author comment: Global country-level network analysis of mental disorders — R2/PR12

Comments

No accompanying comment.

Review: Global country-level network analysis of mental disorders — R2/PR13

Conflict of interest statement

Reviewer declares none.

Comments

Congratulations.

Recommendation: Global country-level network analysis of mental disorders — R2/PR14

Comments

Thank you for submitting the revised paper, which I am pleased to accept.

Decision: Global country-level network analysis of mental disorders — R2/PR15

Comments

No accompanying comment.