Statistical analysis of tipping pathways in agent-based models
dc.bibliographicCitation.firstPage | 3249 | eng |
dc.bibliographicCitation.issue | 16-17 | eng |
dc.bibliographicCitation.lastPage | 3271 | eng |
dc.bibliographicCitation.volume | 230 | eng |
dc.contributor.author | Helfmann, Luzie | |
dc.contributor.author | Heitzig, Jobst | |
dc.contributor.author | Koltai, Péter | |
dc.contributor.author | Kurths, Jürgen | |
dc.contributor.author | Schütte, Christof | |
dc.date.accessioned | 2022-01-31T08:47:34Z | |
dc.date.available | 2022-01-31T08:47:34Z | |
dc.date.issued | 2021 | |
dc.description.abstract | Agent-based models are a natural choice for modeling complex social systems. In such models simple stochastic interaction rules for a large population of individuals on the microscopic scale can lead to emergent dynamics on the macroscopic scale, for instance a sudden shift of majority opinion or behavior. Here we are introducing a methodology for studying noise-induced tipping between relevant subsets of the agent state space representing characteristic configurations. Due to a large number of interacting individuals, agent-based models are high-dimensional, though usually a lower-dimensional structure of the emerging collective behaviour exists. We therefore apply Diffusion Maps, a non-linear dimension reduction technique, to reveal the intrinsic low-dimensional structure. We characterize the tipping behaviour by means of Transition Path Theory, which helps gaining a statistical understanding of the tipping paths such as their distribution, flux and rate. By systematically studying two agent-based models that exhibit a multitude of tipping pathways and cascading effects, we illustrate the practicability of our approach. | eng |
dc.description.version | publishedVersion | eng |
dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/7959 | |
dc.identifier.uri | https://doi.org/10.34657/7000 | |
dc.language.iso | eng | eng |
dc.publisher | Berlin ; Heidelberg : Springer | eng |
dc.relation.doi | https://doi.org/10.1140/epjs/s11734-021-00191-0 | |
dc.relation.essn | 1951-6401 | |
dc.relation.ispartofseries | European physical journal special topics 230 (2021), Nr. 16-17 | eng |
dc.rights.license | CC BY 4.0 Unported | eng |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | eng |
dc.subject | Diffusion Maps | eng |
dc.subject | Points | eng |
dc.subject | Bifurcation | eng |
dc.subject | Systems | eng |
dc.subject | Flows | eng |
dc.subject.ddc | 530 | eng |
dc.title | Statistical analysis of tipping pathways in agent-based models | eng |
dc.type | article | eng |
dc.type | Text | eng |
dcterms.bibliographicCitation.journalTitle | European physical journal special topics | eng |
tib.accessRights | openAccess | eng |
wgl.contributor | PIK | eng |
wgl.subject | Physik | eng |
wgl.type | Zeitschriftenartikel | eng |
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