date: 2024-01-23T07:28:55Z pdf:PDFVersion: 1.7 pdf:docinfo:title: A Dynamic Network Model of Societal Complexity and Resilience Inspired by Tainter?s Theory of Collapse xmp:CreatorTool: LaTeX with hyperref Keywords: societal complexity; social-ecological collapse; resilience; network model; agent-based model access_permission:modify_annotations: true access_permission:can_print_degraded: true subject: In recent years, several global events have severely disrupted economies and social structures, undermining confidence in the resilience of modern societies. Examples include the COVID-19 pandemic, which brought unprecedented health challenges and economic disruptions, and the emergence of geopolitical tensions and conflicts that have further strained international relations and economic stability. While empirical evidence on the dynamics and drivers of past societal collapse is mounting, a process-based understanding of these dynamics is still in its infancy. Here, we aim to identify and illustrate the underlying drivers of such societal instability or even collapse. The inspiration for this work is Joseph Tainter's theory of the ``collapse of complex societies'', which postulates that the complexity of societies increases as they solve problems, leading to diminishing returns on complexity investments and ultimately to collapse. In this work, we abstract this theory into a low-dimensional and stylized model of two classes of networked agents, hereafter referred to as ``laborers'' and ``administrators''. We numerically model the dynamics of societal complexity, measured as the fraction of ``administrators'', which was assumed to affect the productivity of connected energy-producing ``laborers''. We show that collapse becomes increasingly likely as the complexity of the model society continuously increases in response to external stresses that emulate Tainter's abstract notion of problems that societies must solve. We also provide an analytical approximation of the system's dominant dynamics, which matches well with the numerical experiments, and use it to study the influence on network link density, social mobility and productivity. Our work advances the understanding of social-ecological collapse and illustrates its potentially direct link to an ever-increasing societal complexity in response to external shocks or stresses via a self-reinforcing feedback. dc:creator: Florian Schunck, Marc Wiedermann, Jobst Heitzig and Jonathan F. Donges dcterms:created: 2024-01-23T07:26:35Z Last-Modified: 2024-01-23T07:28:55Z dcterms:modified: 2024-01-23T07:28:55Z dc:format: application/pdf; version=1.7 title: A Dynamic Network Model of Societal Complexity and Resilience Inspired by Tainter?s Theory of Collapse Last-Save-Date: 2024-01-23T07:28:55Z pdf:docinfo:creator_tool: LaTeX with hyperref access_permission:fill_in_form: true pdf:docinfo:keywords: societal complexity; social-ecological collapse; resilience; network model; agent-based model pdf:docinfo:modified: 2024-01-23T07:28:55Z meta:save-date: 2024-01-23T07:28:55Z pdf:encrypted: false dc:title: A Dynamic Network Model of Societal Complexity and Resilience Inspired by Tainter?s Theory of Collapse modified: 2024-01-23T07:28:55Z cp:subject: In recent years, several global events have severely disrupted economies and social structures, undermining confidence in the resilience of modern societies. Examples include the COVID-19 pandemic, which brought unprecedented health challenges and economic disruptions, and the emergence of geopolitical tensions and conflicts that have further strained international relations and economic stability. While empirical evidence on the dynamics and drivers of past societal collapse is mounting, a process-based understanding of these dynamics is still in its infancy. Here, we aim to identify and illustrate the underlying drivers of such societal instability or even collapse. The inspiration for this work is Joseph Tainter's theory of the ``collapse of complex societies'', which postulates that the complexity of societies increases as they solve problems, leading to diminishing returns on complexity investments and ultimately to collapse. In this work, we abstract this theory into a low-dimensional and stylized model of two classes of networked agents, hereafter referred to as ``laborers'' and ``administrators''. We numerically model the dynamics of societal complexity, measured as the fraction of ``administrators'', which was assumed to affect the productivity of connected energy-producing ``laborers''. We show that collapse becomes increasingly likely as the complexity of the model society continuously increases in response to external stresses that emulate Tainter's abstract notion of problems that societies must solve. We also provide an analytical approximation of the system's dominant dynamics, which matches well with the numerical experiments, and use it to study the influence on network link density, social mobility and productivity. Our work advances the understanding of social-ecological collapse and illustrates its potentially direct link to an ever-increasing societal complexity in response to external shocks or stresses via a self-reinforcing feedback. pdf:docinfo:subject: In recent years, several global events have severely disrupted economies and social structures, undermining confidence in the resilience of modern societies. Examples include the COVID-19 pandemic, which brought unprecedented health challenges and economic disruptions, and the emergence of geopolitical tensions and conflicts that have further strained international relations and economic stability. While empirical evidence on the dynamics and drivers of past societal collapse is mounting, a process-based understanding of these dynamics is still in its infancy. Here, we aim to identify and illustrate the underlying drivers of such societal instability or even collapse. The inspiration for this work is Joseph Tainter's theory of the ``collapse of complex societies'', which postulates that the complexity of societies increases as they solve problems, leading to diminishing returns on complexity investments and ultimately to collapse. In this work, we abstract this theory into a low-dimensional and stylized model of two classes of networked agents, hereafter referred to as ``laborers'' and ``administrators''. We numerically model the dynamics of societal complexity, measured as the fraction of ``administrators'', which was assumed to affect the productivity of connected energy-producing ``laborers''. We show that collapse becomes increasingly likely as the complexity of the model society continuously increases in response to external stresses that emulate Tainter's abstract notion of problems that societies must solve. We also provide an analytical approximation of the system's dominant dynamics, which matches well with the numerical experiments, and use it to study the influence on network link density, social mobility and productivity. Our work advances the understanding of social-ecological collapse and illustrates its potentially direct link to an ever-increasing societal complexity in response to external shocks or stresses via a self-reinforcing feedback. Content-Type: application/pdf pdf:docinfo:creator: Florian Schunck, Marc Wiedermann, Jobst Heitzig and Jonathan F. Donges X-Parsed-By: org.apache.tika.parser.DefaultParser creator: Florian Schunck, Marc Wiedermann, Jobst Heitzig and Jonathan F. Donges meta:author: Florian Schunck, Marc Wiedermann, Jobst Heitzig and Jonathan F. Donges dc:subject: societal complexity; social-ecological collapse; resilience; network model; agent-based model meta:creation-date: 2024-01-23T07:26:35Z created: Tue Jan 23 08:26:35 CET 2024 access_permission:extract_for_accessibility: true access_permission:assemble_document: true xmpTPg:NPages: 17 Creation-Date: 2024-01-23T07:26:35Z access_permission:extract_content: true access_permission:can_print: true meta:keyword: societal complexity; social-ecological collapse; resilience; network model; agent-based model Author: Florian Schunck, Marc Wiedermann, Jobst Heitzig and Jonathan F. Donges producer: pdfTeX-1.40.25 access_permission:can_modify: true pdf:docinfo:producer: pdfTeX-1.40.25 pdf:docinfo:created: 2024-01-23T07:26:35Z