Explore a conference talk on population dynamics in ecology, focusing on cycles, phase analysis, and synchronization. Delve into the hare-lynx cycle, time series analysis of lynx abundance in Canada, and tri-trophic population models. Examine phase evolution extraction from time series data and coupled predator-prey models. Investigate self-sustained oscillations in single populations and chemostat models. Learn about synchronization experiments and size-structured population modeling, with a focus on Antarctic krill population cycles. Analyze long-term cyclic persistence in laboratory predator-prey systems using wavelet analysis techniques. Discover methods for extracting phase relationships and identifying cyclic succession patterns in ecological populations.
Cycles, Phase Analysis, and Synchronization in Ecological Populations - A Tale of Population Dynamics
Centre International de Rencontres Mathématiques via YouTube
Overview
Syllabus
Intro
Population oscillations in ecology
Phase synchronization in the hare-lynx cycle
Time series of lynx abundance in different Canadian regions
A simple tri-trophic population model with UPCA
Extracting phase evolution from time series
Coupled predator-prey models
self-sustained oscillations in single population
Basic mathematical model of a chemostat
Synchronization experiment
Modelling a size-structured population
Population cycle of Antarctic krill
Fundamental model equations
Long-term cyclic persistence in a laboratory predator-prey cycle
Measurement result: extraordinary long time series
Wavelet power spectrum of prey and predator
Wavelet cross spectrum of prey and predator
Wavelet coherence
Extraction of phase relationships
A signature for cyclic succession
Taught by
Centre International de Rencontres Mathématiques
