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UID:pretalx-juliacon-2026-UCKDNF@pretalx.com
DTSTART;TZID=CET:20260813T144500
DTEND;TZID=CET:20260813T150000
DESCRIPTION:Evolutionary game theory has traditionally employed determinist
 ic models to describe population dynamics. These models\, due to their inh
 erent nonlinearities\, can exhibit deterministic chaos\, where population 
 fluctuations follow complex\, aperiodic patterns. Recently\, the focus has
  shifted towards stochastic models\, quantifying fixation probabilities an
 d analysing systems with constants of motion. \nYet\, the role of stochast
 ic effects in systems with chaotic dynamics remains largely unexplored wit
 hin evolutionary game theory. This study addresses how demographic noise -
 - arising from probabilistic birth and death events -- impacts chaotic dyn
 amics in finite populations. We show that despite stochasticity\, large po
 pulations retain a signature of chaotic dynamics\, as evidenced by compari
 ng a chaotic deterministic system with its stochastic counterpart. More co
 ncretely\, the strange attractor observed in the deterministic model is qu
 alitatively recovered in the stochastic model\, where the term determinist
 ic chaos loses its meaning. We employ tools from nonlinear dynamics using 
 Julia to quantify how the population size influences the dynamics. We obse
 rve that for small populations\, stochasticity dominates\, overshadowing d
 eterministic selection effects. However\, as population size increases\, t
 he dynamics increasingly reflect the underlying chaotic structure. This re
 silience to demographic noise can be essential for maintaining diversity i
 n populations\, even in non-equilibrium dynamics. Overall\, our results br
 oaden our understanding of population dynamics\, and revisit the boundarie
 s between chaos and noise\, showing how they maintain structure when consi
 dering finite populations in systems that are chaotic in the deterministic
  limit.
DTSTAMP:20260529T230839Z
LOCATION:Room 1
SUMMARY:Chaos and noise in evolutionary game dynamics - Alejandra Ramirez
URL:https://pretalx.com/juliacon-2026/talk/UCKDNF/
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