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This chapter introduces network analysis as an emerging approach in health research, providing tools to study the structure and dynamics of relationships between individuals, groups, or variables. It explains key concepts such as nodes, edges, centrality, and network density, and demonstrates how these measures capture the complexity of social, biological, or informational systems. Applications in epidemiology include modelling infectious disease transmission, understanding health behaviours, and identifying influential individuals or groups for interventions. Network analysis also supports systems-level understanding of comorbidities, genetic pathways, and healthcare delivery. Strengths of the method include its ability to visualise complex relationships, identify patterns not visible through traditional approaches, and generate novel insights into mechanisms of health and disease. Limitations include the need for high-quality relational data, complex analytical techniques, and challenges in interpretation. The chapter also highlights software tools and visualisation methods that make network analysis more accessible to researchers. Practical examples illustrate its use in mapping HIV transmission networks and analysing patterns of collaboration in healthcare teams. This chapter maps to syllabus section 3.2.13, which encourages knowledge of newer approaches including network and systems analysis.
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.
Guided by a lifespan developmental perspective, using a network analysis approach, this study compared the structure of daily stress components in mothers of adolescents and adults with developmental disabilities (DD) and a matched sample of mothers of children without DD. We also examined whether components of daily stress were differentially associated with subsequent depression symptoms. Participants (N = 516; 100% female; M = 54.52 years, SD = 10.21; 94.2% White) were drawn from two cohorts: a DD cohort constructed from two linked longitudinal studies of families of adolescents and adults with autism and fragile X syndrome and a comparison group from the Midlife in United States study. Participants completed an 8-day daily telephone interview and reported depressive symptoms two years later. Findings demonstrated that the daily stress network of mothers of individuals with DD was significantly more interconnected than that of the comparison group. Stressor risk appraisal emerged as a central node in both groups, highlighting the role of cognitive appraisal in shaping stress responses. Negative affective reactivity linked daily stress components with later depressive symptoms, particularly in the DD group. Chronic caregiving stress may heighten interconnectivity within daily stress networks, reducing psychological flexibility and increasing vulnerability to daily stressors.
Agile teams often encounter obstacles in systematically identifying the underlying root causes of collaboration challenges and deriving effective countermeasures. Grounded in the Design Research Methodology, this study investigates a hybrid AI-human approach for targeted generation of problem-specific reference and impact models to enhance systematic improvement in agile product development. A structured workflow integrates AI capabilities (e.g. scaffolding, consistency) and expert knowledge (causality, context), while a three-stage review ensures methodological rigor and result reliability.
Narcissistic Personality Disorder (NPD) involves disturbances in self-regulation, interpersonal functioning, and personality organization. Although traditionally characterized by grandiosity, contemporary models suggest that grandiose self-states coexist with vulnerable features such as shame, emotional dysregulation, and hypersensitivity to rejection. Recent evidence indicates that metacognitive impairments may underlie both grandiose and vulnerable narcissistic presentations; however, no study has examined how metacognition interacts with personality traits and interpersonal difficulties within an integrated system.
Methods
A cross-sectional network analysis was conducted on 287 patients with NPD. Measures included the Metacognition Assessment Interview, the Pathological Narcissism Inventory, the Personality Inventory for DSM-5 (PID-5), the Inventory of Interpersonal Problems, and SCL-90-R Depression. A Gaussian graphical model with LASSO regularization was estimated, and expected influence was used as the primary index of node centrality. Network accuracy and stability were assessed through bootstrapping procedures.
Results
Narcissistic vulnerability was the most central node, followed by interpersonal sensitivity and metacognitive integration. Narcissistic vulnerability showed strong associations with PID-5 Negative Affectivity and Detachment, whereas narcissistic grandiosity was related to PID-5 Antagonism. Metacognitive integration occupied a central position, linking maladaptive traits and interpersonal distress. Network stability indices indicated good reliability.
Conclusions
Findings suggest that narcissistic vulnerability and interpersonal hypersensitivity are central aspects of dysfunction in NPD, whereas metacognitive integration appears closely associated with the organization of psychological processes within the network. Although causal inferences cannot be drawn, the results are consistent with theoretical models underlying Metacognitive Interpersonal Therapy (MIT), supporting the potential relevance of targeting integrative metacognitive capacities in NPD treatment.
Recent advances in ancient DNA and isotope analysis have enabled archaeologists to detect migration events in the distant past. Yet, novel approaches evaluating the cultural impact of these migrations are lacking. As a result, archaeologists continue to debate problematic culture-historical scenarios in which migrants rapidly supplant passive indigenous communities. This study outlines a bottom-up, quantitative approach to prehistoric migrations. This approach uses Bayesian chronological modelling to investigate whether migrating and indigenous communities co-existed. In addition, a novel probabilistic comparison of ceramic technology traces whether cultural knowledge is exchanged between potters in these communities. This approach is applied to the emergence of Corded Ware communities in the Netherlands during the 3rd millennium BC. The outcomes demonstrate that this process was not a rapid replacement of indigenous groups by migrants, as sometimes stated. Instead, migrants likely co-existed with indigenous communities for centuries, learned ceramic production from them, and incorporated this knowledge into the production of characteristic Corded Ware ceramics. Furthermore, the outcomes suggest this scenario was likely commonplace for prehistoric migration in the 3rd and 4th millennia BC. As such, this study provides new approaches and insights which enable archaeologists to shed light on prehistoric migration, talk back to archaeogenetics on an equal footing, and contribute to broader societal debates on migration.
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.
Because social capital is an inherently multidimensional concept, its study calls for a detailed analysis of a wide variety of social resources, ranging from intimate personal relationships with friends and family to linkages to the broader community via involvement in clubs, groups, and other organizations. Research on this topic usually focuses on particular aspects of social capital, often drawing on just one data source or measure. This chapter describes the wide range of measures we interrogate in our analysis and the numerous data sources upon which it is based, including sources such as the General Social Survey (GSS), the American Time Use Survey (ATUS), the Current Population Survey (CPS), the Multi-City Study of Urban Inequality (MCSUI), the National Social Life, Health, and Aging Project (NSHAP), and nearly two dozen other data sources – some nationally representative, some more regionalized, including an analysis of urban elites’ networks in a large city. This chapter clarifies the conceptualizations of social capital implied by this data coverage. It also lays out the steps we take in analyzing these data, including different types of descriptive analysis, heavy reliance on tables and figures, and a parsimonious and uniform approach to multivariate analysis.
If the past half-century of social science research has taught us anything, it has taught us both that people can gain advantages and resources through social networks and, at the same time, that any valuable resource is prone to unsparing social inequality. This book is therefore motivated by the worrying concern that access to social network ties is not, in fact, distributed equally throughout the population. This chapter outlines the scope and structure of our foray into this complex problem. It briefly discusses the outline of the book, addressing what we cover in each chapter: the theoretical origins of and controversies surrounding the concept of social capital, introducing the questions of how it is distributed throughout society and whether it is linked to other forms of capital (Chapter 2); an overview of the data and methods we use to study this topic (Chapter 3); a detailed set of analyses using multiple indicators and data sources to ascertain how social capital is distributed (Chapter 4); an examination of how social capital is linked to other valuable resources, such as money (Chapter 5); and our ultimate conclusions and suggestions for future research on this topic (Chapter 6).
Classical symmetric association measures, such as correlation and chi-square indices, are widely used in applied psychology. However, these indices have limitations in identifying asymmetric implicative relationships. Standard regression analysis of Y on X, frequently interpreted as evidence of a directed dependence $X\to Y$, does not preclude the reverse direction ($Y\to X$). While various proposals in the literature have sought to provide non-symmetric association measures between binary events, most have overlooked the potential information in the contrapositive ($\bar {B}\to \bar {A}$), in addition to the main assertion ($A\to B$). When multiple variables are involved, asymmetric dependence is frequently represented as intricate dependency networks, which can be challenging to summarize and interpret in terms of higher-order clusters or latent dimensions. This article introduces a novel statistical implication index designed to address both limitations. The efficacy of this asymmetric index is demonstrated through its ability to detect one-way implication relationships, using both positive and contrapositive evidence. It also facilitates dimensional reduction by establishing aligned sets of nodes in a graph representation, under the condition that a Rasch model holds on these nodes, thus filling the gap between graphical and dimensional models. The efficacy of this index is substantiated through both simulated and real-world data illustrations.
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.
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Part III
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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.