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Crowd Dynamics: Simulating Major Crowd Disturbances. Valerie Spicer, PhD and Hilary Kim Morden , PhD Student Modelling of Complex Social Systems - MoCCSy. CCJA-ACJA October 2013.
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Crowd Dynamics: Simulating Major Crowd Disturbances Valerie Spicer, PhD and Hilary Kim Morden, PhD Student Modelling of Complex Social Systems - MoCCSy CCJA-ACJA October 2013 This is a joint work with Piper Jackson, PhD, Andrew Reid, PhD Student, Vijay Mago, PhD and Vahid, PhD
Group Composition Mathematicians Criminologists Computer scientists Crowd management practitioner
Literature review • LeBon (1960)Group mind / psychological crowds • Zimbardo(2007) De-individuation theory • McPhail(1991) Crowd crystals • Stott, Hutchison, & Drury (2001) Hooligans/ESIM • Forsyth (2006)6 factors of collective behaviour • McHugh (2010) Emotions of body movement
Modeling Project • Social dynamics • Macro factors – Fuzzy Cognitive Map (FCM) • Micro factors – Cellular Automata (CA) • Threshold analysis: Major crowd disturbance
Crowd Psychology A people behaviour: Disruptive B people behaviour: Observers Participants C people behaviour: Guardians
Macro Factors • Effective social control mechanisms • Police – city – transit • Structured environmental factors • Road design – event location • Unfavourable situational factors • Suitable target – podiums in the environment • Unstructured technological connectivity • Text messaging – Twitter – Facebook • Volatile demographics • Younger people – intoxication – gender distribution • High risk event • Divisive event – non-family oriented
Creating the Fuzzy Cognitive Map • Group process – used surveys • Requiring further definition of factors • Started with 26 factors reduced to 6 factors • Verified definitions and strengths with independent group member
Micro Interactions – CA model • Each cell has a stable character • A type person • B type person • C type person • Each cell has a disruptive risk • -1 ↔disruptive • 0 ↔ observing - susceptible • 1 ↔ active guardianship A (-0.8) C (+ 1) C (+0.5) A (-0.5) B (-0.1)
Fuzzy Transitions • 9 rules: one for each combination: • {A, B, C} {Disrupting,Observing,Guarding} • All rules applied fuzzily each iteration • Takagi-Sugeno-Kang: Each rule is a mathematical function, e.g., f(x, y) = y - x
CA transition rules Deteriorating A, B Disruptive:-rn2 exponential negative Preventing A, B Guarding, C Disruptive: rn2 exponential positive Boredom B Observing:-rsp(s) linear inward Respecting A, C Inactive, C Guarding: 0 no interaction
Future Directions • Model Adjustments to enhance precision • FCM expansion – factor interaction • CA modification – non-adjacent cell influences • Data testing and further validation of model • Verification with crowd control experts
Crowd Dynamics: Simulating Major Crowd Disturbances Valerie Spicer, SFU vspcicer@sfu.ca Hilary Kim Morden, SFU hmorden@sfu.ca Lee Patterson, VPD lee.patterson@vpd.ca Andrew Reid, SFU aar@sfu.ca Piper Jackson, SFU pjj@sfu.ca VahidDabbaghian, SFU vdabbagh@sfu.ca Vijay Mago, SFU vmago@sfu.ca
Crowd Dynamics: Simulating Major Crowd Disturbances QUESTIONS?