Methods for Detecting Early Warnings of Critical Transitions in Time Series Illustrated Using Simulated Ecological Data

@article{Dakos2012MethodsFD,
  title={Methods for Detecting Early Warnings of Critical Transitions in Time Series Illustrated Using Simulated Ecological Data},
  author={Vasilis Dakos and Stephen R. Carpenter and William A. Buz Brock and Aaron M. Ellison and Vishwesha Guttal and Anthony R. Ives and Sonia K{\'e}fi and Valerie N. Livina and David A. Seekell and Egbert H. van Nes and Marten Scheffer},
  journal={PLoS ONE},
  year={2012},
  volume={7}
}
Many dynamical systems, including lakes, organisms, ocean circulation patterns, or financial markets, are now thought to have tipping points where critical transitions to a contrasting state can happen. Because critical transitions can occur unexpectedly and are difficult to manage, there is a need for methods that can be used to identify when a critical transition is approaching. Recent theory shows that we can identify the proximity of a system to a critical transition using a variety of so… 
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