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Cycles, Phase Analysis, and Synchronization in Ecological Populations - A Tale of Population Dynamics

Offered By: Centre International de Rencontres Mathématiques via YouTube

Tags

Population Dynamics Courses Ecology Courses Time Series Analysis Courses Mathematical Modeling Courses Wavelet Analysis Courses

Course Description

Overview

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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.

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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