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

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

Centre International de Rencontres Mathématiques via YouTube Direct link

Intro

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1 of 20

Intro

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

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  1. 1 Intro
  2. 2 Population oscillations in ecology
  3. 3 Phase synchronization in the hare-lynx cycle
  4. 4 Time series of lynx abundance in different Canadian regions
  5. 5 A simple tri-trophic population model with UPCA
  6. 6 Extracting phase evolution from time series
  7. 7 Coupled predator-prey models
  8. 8 self-sustained oscillations in single population
  9. 9 Basic mathematical model of a chemostat
  10. 10 Synchronization experiment
  11. 11 Modelling a size-structured population
  12. 12 Population cycle of Antarctic krill
  13. 13 Fundamental model equations
  14. 14 Long-term cyclic persistence in a laboratory predator-prey cycle
  15. 15 Measurement result: extraordinary long time series
  16. 16 Wavelet power spectrum of prey and predator
  17. 17 Wavelet cross spectrum of prey and predator
  18. 18 Wavelet coherence
  19. 19 Extraction of phase relationships
  20. 20 A signature for cyclic succession

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