Cycles, Phase Analysis, and Synchronization in Ecological Populations - A Tale of Population Dynamics
Offered By: Centre International de Rencontres Mathématiques via YouTube
Course Description
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
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