To save content items to your account,
please confirm that you agree to abide by our usage policies.
If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account.
Find out more about saving content to .
To save content items to your Kindle, first ensure no-reply@cambridge.org
is added to your Approved Personal Document E-mail List under your Personal Document Settings
on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part
of your Kindle email address below.
Find out more about saving to your Kindle.
Note you can select to save to either the @free.kindle.com or @kindle.com variations.
‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi.
‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.
Symptom network analysis is now commonly used in psychopathology research. Network analysis results in networks with symptoms represented as nodes, while edges represent conditional associations between these. Direct causal relations between symptoms will produce nonzero conditional associations, but these associations can also be produced in other ways. In this chapter, Borsboom discusses six plausible mechanisms that could produce edges in symptom networks. The first is resource competition, where the presence of a symptom depletes resources, which causes another symptom to arise. The second is evidential overlap, in which judgments central to different symptoms involve a subjective assessment of the same evidence. The third is shared mechanisms, in which symptomatology involves processes that are shared among different symptoms. The fourth are consistency drives, which arise when individuals are prone to align their cognitions, affect states, and behavior. The fifth are statistical processes involved in research design and analysis (marginalization and conditioning). The sixth is the presence of unobserved common causes that affect multiple symptoms at the same time. The author argues that, in realistic situations, the mechanisms in question are not mutually exclusive, which preempts standard scientific approaches that pit one model against another to derive critically divergent predictions. Instead, making sense of symptom networks will require more advanced theory development and modeling.
Governance principles reflect procedural values that govern the means of implementing public policies. Using survey data from Italy and the United Kingdom, we explore the public’s orientations towards those principles. We model them as instrumental values in belief systems, and as components of a network of attitudes. We find that governance principles largely occupy their own community; their interdependence with each other is far greater than their dependence on any other values or attitudes. Public employment experience neither alters the internal integration of governance principles nor changes their relationship with the larger belief system. We observe low levels of dynamic constraint among governance value orientations and show evidence that higher-order values account for the greatest influence over them. They remain strikingly invariant to simulated shifts in other attitudes, though modestly more constrained in Italy than in the UK. Our results suggest that orientations towards transparency can be most strongly influenced by other beliefs.
Psychotic-like experiences (PLEs) are common in adolescence and often associated with later mental health difficulties. Although many psychosocial factors are related to PLEs, little is known about how these factors interact over time. Longitudinal network analysis allows examination of the stability of symptom associations and identification of potential intervention targets. This study investigated the structure and temporal stability of PLE networks in a large community-based adolescent cohort.
Methods
Adolescents aged 13–19 years (N = 605 with complete data across all time points) completed assessments at baseline, 12 months, and 24 months. Measures included positive and negative PLEs, cognitive biases, depression, anxiety, trauma, and interpersonal sensitivity. Networks were estimated at each time point, and permutation-based tests were used to compare network structure and overall connectivity across time. Centrality stability was assessed using bootstrapping procedures.
Results
Network structures were stable across the 2-year period, with no significant differences in overall organization or connectivity between time points. Depression consistently showed the highest centrality, followed by anxiety and attributional bias. Positive PLEs were most strongly associated with anxiety, while negative PLEs showed their strongest associations with depression. Attributional bias remained centrally positioned and was strongly linked to trauma. All networks showed robust accuracy and high stability.
Conclusions
Despite considerable developmental change during adolescence, the psychosocial architecture of PLEs remained notably stable. Depression, anxiety, and attributional biases emerged as consistent key nodes, highlighting them as promising targets for prevention and early intervention in adolescents at risk for persistent PLEs.
Addressing the active and challenging field of spectral theory, this book develops the general theory of spectra of discrete structures, on graphs, simplicial complexes, and hypergraphs. In fact, hypergraphs have long been neglected in mathematical research, but because of the discovery of Laplace operators that can probe their structure, and their manifold applications from chemical reaction networks to social interactions, they have now become one of the most active areas of interdisciplinary research. The authors' analysis of spectra of discrete structures embeds intuitive and easily visualized examples, which are often quite subtle, within a general mathematical framework. They highlight novel research on Cheeger-type inequalities that connect spectral estimates with the geometry, more precisely the cohesion, of the underlying structure. Establishing mathematical foundations and demonstrating applications, this book will be of interest to graduate students and researchers in mathematics working on the spectral theory of operators on discrete structures.
This study examined the development of bilingual lexical networks in adolescence through word association task and network analysis. Participants were Chinese–English bilinguals in Grade 8 (middle school; aged 13–14 years) and Grade 11 (high school; aged 16–17 years). Networks were constructed based on word association responses separately for each grade and language, and structural properties of networks were computed. Results showed that from Grade 8 to Grade 11, the Chinese networks displayed increased within-group convergence while maintaining overall structural stability and small-world features. In contrast, the English networks expanded in size, with longer average shortest paths, higher local clustering, and greater modularity (Q), reflecting rapid growth and restructuring, while also exhibiting small-world features. Across grades, L1 networks remained larger and more structured than L2 networks, though the gap decreased over time, indicating increasing cross-language similarity. These findings provide new insights into bilingual lexical development during the adolescent years.
from
Part III
-
Additional Topics: Interlacing, Tensors, Nonbacktracking Laplacians, and Applications
Jürgen Jost, Max-Planck-Institut für Mathematik in den Naturwissenschaften, Leipzig,Raffaella Mulas, Vrije Universiteit Amsterdam,Dong Zhang, Peking University
Laplace operators and their spectral properties are powerful tools for the analysis of networks in the social and the biological sciences and in other domains. In computer science, the theory of families of expander graphs is particularly important. Eigenvalues are also a key for quantifying synchronization and other features of nonlinear dynamics.
Psychological network analysis (PNA) has emerged as a powerful tool for understanding the complex interplay of constructs in developmental and educational sciences. Unlike traditional models that assume relationships among variables arise from latent factors, PNA conceptualizes them as dynamic systems of interacting components. This tutorial introduces PNA's theoretical foundations, key concepts (e.g., nodes, edges, network structures), and its methodological applications using cross-sectional, longitudinal, intensive, and cohort data. Through step-by-step guidance and real-world examples, we illustrate how PNA can capture developmental changes, reveal causal structures using directed acyclic graphs, and support developmental and educational research. Special emphasis is given to practical implementation using R, including network estimation, accuracy testing, and visualization. By equipping researchers with the necessary tools to construct and interpret psychological networks, this Element provides a comprehensive framework for leveraging PNA to explore the multifaceted relationships shaping learning, motivation, and social-emotional development.
Scholars and policymakers alike now view competition between states as the primary threat to international security. Yet the nontraditional threats that previously defined the global security landscape, such as terrorism and civil war, continue to flourish. Recent interstate conflicts have featured nonstate armed groups as central actors, and governments rely on these groups to extend their interests. This article examines how government support for foreign nonstate actors affects interstate competition. We conceptualize state–nonstate ties as transnational networks comprised of cooperative relationships between governments and foreign terrorist organizations, rebel groups, militias, and civilian groups. We argue that these transnational networks exacerbate interstate tensions in two ways. First, they increase a state’s capacity relative to adversaries, which emboldens the government, increases its bargaining leverage, and leads to increased aggression toward other states. Second, they increase a government’s liability for the actions of sponsored groups, which leads to unintended confrontations and retaliatory actions by affected targets. To measure interstate competition, we use high-resolution event data on verbal and material conflict between governments. We incorporate these data into network models that allow transnational ties and interstate conflict to co-evolve, such that states form ties to nonstate actors in response to interstate conflict, and those ties in turn influence conflict probability. We find that both the size and structure of governments’ respective transnational networks are associated with an increase in verbal and material conflict. Further, this association is particularly strong for states that lack conventional military strength. These findings suggest that cooperation between governments and nonstate actors is integrally connected to, and often exacerbates, interstate competition.
Occupational stress triggers psychological/physical health issues, elevating the risk of burnout and depression. This study explored the interrelationships among these constructs via network analysis (undirected/directed graphs).
Methods
A total of 1363 participants from Beijing hospitals and a university completed House and Rizzo’s Work Stress Scale, Zung’s Self-Report Depression Scale, and Maslach Burnout Inventory-General Survey. Graphical Gaussian Model and directed acyclic graphs (DAG) identified core/bridge/upstream nodes and causal pathways.
Results
Emotional exhaustion (EE) was the core node (expected influence = 2.11). The strongest edge was D11–D12 (weight = 0.46). EE, occupational stress 11, cynicism (CY), and personal accomplishment (PA) served as key bridging nodes. The network showed high stability (0.75). DAG identified upstream occupational stress 1/7/8, confirming direct occupational stress to depression pathways (emotional dysregulation model) and CY/PA mediated pathways (burnout structural theory).
Conclusions
Targeted interventions on core/bridge/upstream nodes may prevent depression onset and progression in occupational settings.
This article presents an analysis of the relationship between urbanization as an ongoing process and economic development in medieval (c.AD 1250–1400) southern and midland England. It is proposed that understanding the distribution of pottery through network analysis provides a means of comprehending the role played by affective material relations in these processes. Rather than seeing pottery distributions as reflecting an overarching economic context, the author investigates how relations with pottery, and between pottery and other commodities, generated distinctive and situated modes of urban life. He proposes that the medieval economy was a patchwork rather than a coherent system. The study draws on Deleuze’s concept of the ‘virtual’ to examine how economic emergence and urbanization are open-ended and difference-making processes.
This research note investigates how the involvement of firms in American politics has developed over the past two decades. The central question is whether individual firms have become more active lobbyists compared to business associations in the US Congress over this period. Different subdisciplines in political science have various expectations regarding the evolution of firm lobbying. We test which perspective is most accurate. To evaluate the hypotheses, we use a novel dataset comprising approximately 180,000 instances of lobbying activity by different types of interest organizations across a wide range of sectors and issues. In our analyses, we trace both the relative activity of firms versus business associations and their centrality in lobbying networks. While most theoretical models in the literature suggest a rise of firm lobbying activity, our results highlight a strikingly stable pattern of firm lobbying activity and centrality within the US political system over the past two decades.
The network theory of mental disorders posits that associations between symptoms activate other symptoms to maintain a disorder over time. Network analytic approaches therefore may inform treatment targets. In the present study, we compared baseline OCD symptom networks among treatment responders to non-responders and examined how network structure and connectivity changed from before to after exposure and response prevention (ERP) treatment.
Methods
Community adults with OCD (n = 712) who underwent intensive outpatient treatment were assessed using the Yale-Brown Obsessive Compulsive Scale (YBOCS) at admission and discharge. Network comparison tests were used to (a) examine differences in baseline symptom network structures between treatment responders versus non-responders and (b) examine changes in network structures from pre- to post-treatment.
Results
Pre-treatment network structures and global connectivity did not differ significantly between treatment responders and non-responders. However, post-treatment networks exhibited greater global strength (i.e., stronger associations between OCD symptoms) and significantly different network structure (i.e., different patterns of associations between OCD symptoms) relative to the pre-treatment network.
Conclusions
Findings showed that network structure and connectivity in OCD may be more informative as a marker of therapeutic change than in discriminating treatment responders from nonresponders using baseline symptoms. After ERP treatment, associations between obsessions and compulsions demonstrated significantly greater global network strength and altered network structure, thus underscoring the potential for network approaches to identify mechanisms of change throughout OCD treatment. Future studies incorporating session-by-session data may clarify when and how these network shifts occur over the course of therapy to help identify treatment targets.
Chapter 13 discusses the analysis processes that transform raw brain imaging data into meaningful neuroscientific insights. It explains the methodical progression from preprocessing to advanced analytical techniques, emphasizing that analysis is not merely a technical afterthought but a fundamental component of neuroimaging research. The chapter begins by addressing preprocessing steps – quality control, artifact correction, normalization, and smoothing – that prepare data for subsequent analysis while preserving signal integrity. It then explores single-subject processing approaches that aggregate experimental conditions and trials to establish individual response patterns before proceeding to group-level analyses that enable population-level inferences. Statistical considerations receive particular attention, with the chapter explaining how techniques like statistical parametric mapping function as the interpretive lens through which brain activity becomes visible. The problematic issue of multiple comparisons is thoroughly examined, illustrating how whole-brain analyses necessitate statistical correction to prevent false positives in the tens of thousands of simultaneous tests typical in neuroimaging. The chapter extends beyond traditional univariate approaches to cover network analysis methodologies that reveal functional connectivity patterns between brain regions. It concludes by addressing emerging analytical frontiers: real-time analysis for brain–computer interfaces, closed-loop brain stimulation paradigms, and the methodological limitations that necessitate careful interpretation of neuroimaging results. Throughout, the chapter emphasizes that analytical expertise is as essential as technical proficiency with imaging hardware, and that understanding analytical limitations is crucial for responsible interpretation of the neural basis of cognition and behavior.
Network analysis was employed to test whether the overall pattern of depressive–anxious symptom connections remains stable or whether specific symptom-to-symptom links shift from pregnancy to postpartum.
Methods
In a perinatal sample (n = 4,461 pregnant women, n = 5,711 postpartum women), depressive and anxiety symptoms were assessed with the Edinburgh Postnatal Depression Scale (EPDS) and Generalized Anxiety Disorder-7 (GAD-7). Phase-specific polychoric Gaussian graphical models were estimated with EBICglass. We examined strength and bridge centrality, community structure, and nodewise predictability, and compared networks using the network comparison test.
Results
Depression and anxiety formed four reproducible communities (one GAD-7 worry/arousal and three EPDS affective/anhedonic, anxious–cognitive distress, and depressed affect/sleep–suicidality modules) with identical partitions across phases. Global strength was similar, but postpartum networks showed higher edge density and more negative partial correlations, suggesting localized changes in which symptom pairs were directly linked—and how strongly—across phases. Across phases, Sadness, Crying, Uncontrollable worrying, and Trouble relaxing were most central and predictable. Worry-, arousal-, and sleep-related symptoms (e.g., hard to sleep) showed the strongest bridge centrality postpartum, and Self-harm was a prominent bridge during pregnancy; several edges shifted between phases, including stronger Enjoyment–Self-harm and weaker Hard to sleep–Self-harm postpartum.
Conclusions
Perinatal depression and anxiety organize into cohesive yet partially distinct symptom networks that remain globally stable but show localized shifts in direct symptom-to-symptom connections from pregnancy to postpartum. Central affective and arousal nodes, particularly sadness, pathological worry, and sleep disturbance, may be high-yield targets for phase-tailored screening and intervention.
Network modeling of post-concussion symptoms following mild traumatic brain injury (mTBI) has emerged as a promising tool for understanding how cognitive, emotional, and somatic symptoms co-occur and interact. However, the generalizability of networks developed in individual studies remains unclear. This study aimed to develop the first-ever meta-analytic pooled between-persons network structure of post-concussion symptoms and systematically examine the between-study heterogeneity of these symptom networks.
Methods:
Using the Meta-Analytic Gaussian Network Aggregation (MAGNA) framework, a single pooled network model was developed by aggregating data from 6 distinct samples, comprising a total of 5,776 participants. Additionally, this study quantitatively assessed the degree of heterogeneity across these studies.
Results:
Strong symptom clusters between cognitive, emotional, and somatic symptoms were identified. Concentration difficulty and slowed thinking were the most central symptoms in the pooled MAGNA network. Large between-study heterogeneity was observed.
Conclusions:
Findings from this meta-analysis highlight cognitive symptoms as most important for defining the network structure after mTBI at a group level, potentially perpetuating and/or being perpetuated by symptoms in other domains. The large heterogeneity observed between studies underscores the need for an idiographic (person-specific) approach to studying post-concussion symptom networks to inform precision rehabilitation.
Coroners’ Prevention of Future Death reports (PFDRs, also known as Regulation 28 reports) provide an opportunity to understand factors contributing to mental health-related deaths.
Aims
To examine available mental health-related PFDRs, addressing three core questions: (a) What is the overall profile of these reports? (b) What relational patterns emerge from these reports? and (c) What concerns and preventive actions do coroners highlight in these reports, and how they evolved over time?
Method
We collected all mental-health related public PFDRs available up to June 2025 (N = 586). Data extraction combined automated web scraping, optical character reading and large language model (LLM)-assisted (GPT-4o) parsing to capture demographics, settings, coroner areas, co-occurring categories, concerns and recommended actions. Descriptive statistics, category and recipient co-occurrence network analysis and thematic analysis were used to provide a comprehensive landscape of these reports.
Results
Report numbers increased steadily from 2013, peaking in 2021 and then declined. Some jurisdictions, including Manchester South, East Sussex and East London, consistently had more PFDRs issued. The deceased were typically young, male and had died mainly outwith hospital, most often at home; 78.0% of reports included at least one formal response from recipients, whereas 22.0% had no corresponding response available. The network analyses suggested that PFDRs seldom identified isolated issues. Coroners’ concerns changed over time, from service access and resources to inter-agency coordination and then, more recently, to risk assessment and management.
Conclusions
Mental health-related deaths examined by coroners arise within complex, evolving multi-sector contexts and do not frequently identify single errors. Minimising such deaths may require coordinated strategies across healthcare, social care and justice systems. Analysis of PFDRs allows identification of patterns that may inform such actions. PFDRs should be analysed routinely and patterns followed over time.
The ability of urban centres to grow and persist through crises is often assessed qualitatively in archaeology but quantitative assessment is more elusive. Here, the authors explore urban resilience in ancient Mesopotamia by applying an adaptive cycle framework to the settlement dynamics of the Bronze and Iron Age Khabur Valley (c. 3000–600 BC). Using an integrated dataset of settlements and hollow ways, they identify patterns of growth, conservation, release and reorganisation across six periods, demonstrating the value of coupling archaeological data with resilience theory and network analysis to understand the adaptive capacities of complex archaeological societies.
Language impairments are common in affective and psychotic disorders, yet their patterns and underlying pathomechanisms remain insufficiently understood. A transdiagnostic perspective provides a framework for identifying shared and disorder-specific language alterations across diagnostic boundaries. Combining natural language processing (NLP) with network analysis enables the investigation of complex associations between linguistic, cognitive, and psychopathological features.
Methods
Spontaneous speech from N = 372 participants (119 MDD, 27 BD, 48 SSD and 178 HC) was elicited using four Thematic Apperception Test pictures (~12 min per participant). NLP models were applied to extract latent linguistic variables across various levels, including lexical diversity, syntactic complexity, semantic coherence, and disfluencies. Network analysis was used to relate linguistic variables, psychopathology (SAPS, SANS, HAM-A, HAM-D, YMRS, TLI, GAF), and cognitive performance (attention, verbal memory, recognition, and verbal fluency).
Results
Linguistic variables formed the densest network cluster, with type–token ratio, mean length of utterance, and syntactic complexity emerging as central nodes. Psychopathology variables were less cohesive, while TLI “Impoverishment”, coherence mean, and executive functioning bridged linguistic, cognitive, and psychopathological domains. Network comparison tests revealed no significant differences in linguistic–cognitive network structure across HC, MDD, BD, and SSD.
Conclusions
Linguistic networks show high structural consistency across healthy individuals and patients, whereas psychopathological symptom networks reflect transdiagnostic profiles. These findings support a dimensional and transdiagnostic framework underscore shared language–cognition mechanisms, and highlight executive functioning as key cross-domain connection, which opens up new avenues for dimensional research into the pathophysiological and etiological mechanisms underlying language dysfunctions.
Compared with well-studied internal adaptive systems, there remains a lack of comprehensive exploration of external correlated factors of resilience, as well as the way in which each ingredient of resilience is influenced.
Aims
This study aims to explore the dimensional associations among resilience and several factors, including parenting rearing style, childhood trauma and negative life events.
Method
A series of social demographic variables, parental rearing patterns, childhood trauma, negative life events and resilience were assessed. Multiple linear regression analysis was used to explore correlated factors of resilience, with all the above factors included in the model. Network analysis was conducted to identify the central factor and key associations, and to visualise complex interactions among resilience, parenting rearing style, childhood trauma and negative life events.
Results
This cross-sectional study was conducted among 4302 freshmen (2388 females, 55.5%; mean 18.59; s.d. = 0.95) from three colleges between October and December 2020. Three key associations were discovered: ‘learning pressure and emotional control’ (r = −0.195, P < 0.05), ‘emotional neglect and family support’ (r = −0.129, P < 0.05) and ‘maternal care family support’ (r = 0.193, P < 0.05). ‘Emotional abuse’ (bridge expected influence, −0.588) was the core node of the estimated network.
Conclusions
This study found that learning pressure, emotional neglect and maternal care emerged as the most critical external correlates of resilience. Emotional abuse occupies the most central position in the external correlated network of resilience. Future longitudinal research should clarify the temporal impacts of these associations, and the key factors, in the dynamic resilience system.
Drawing on the theory of policy diffusion, I analyze 129 regulatory firearm law provisions from 1991 to 2019 across the United States and examine the innovation and development of restrictive firearm policies. I control for the demographics, politics, and institutional characteristics of the states and hypothesize that public health concerns lead to the adoption of firearm regulations. I find support for my hypothesis: most novel, state firearm policy diffusion is dependent on state firearm suicide and homicide rates. Furthermore, I find that states are more likely to adopt policy if they are characterized by a large population, a large white population, high firearm ownership, a liberal government, or if their geographical neighbors are actively adopting firearm regulations. Firearm-related fatalities have risen dramatically, but a majority of states have adopted few policies to address this public health concern. My article highlights the state-level factors that produce a public policy response to this phenomenon.