Early-warning signals for critical transitions

@article{Scheffer2009EarlywarningSF,
  title={Early-warning signals for critical transitions},
  author={Marten Scheffer and Jordi Bascompte and William A. Buz Brock and Victor A. Brovkin and Stephen R. Carpenter and Vasilis Dakos and Hermann Held and Egbert H. van Nes and Max Rietkerk and George Sugihara},
  journal={Nature},
  year={2009},
  volume={461},
  pages={53-59}
}
Complex dynamical systems, ranging from ecosystems to financial markets and the climate, can have tipping points at which a sudden shift to a contrasting dynamical regime may occur. Although predicting such critical points before they are reached is extremely difficult, work in different scientific fields is now suggesting the existence of generic early-warning signals that may indicate for a wide class of systems if a critical threshold is approaching. 

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References

SHOWING 1-10 OF 110 REFERENCES

Spatial correlation as leading indicator of catastrophic shifts

Generic early-warning signals such as increased autocorrelation and variance have been demonstrated in time-series of systems with alternative stable states approaching a critical transition.

Interacting regime shifts in ecosystems: implication for early warnings

Big ecological changes often involve regime shifts in which a critical threshold is crossed. Thresholds are often difficult to measure, and transgressions of thresholds come as surprises. If a

Changing skewness: an early warning signal of regime shifts in ecosystems.

TLDR
It is shown that changes in asymmetry in the distribution of time series data, quantified by changing skewness, is a model-independent and reliable early warning signal for both routes to regime shifts.

Self-Organized Patchiness and Catastrophic Shifts in Ecosystems

TLDR
A review of recent studies on various ecosystems that link self-organized patchiness to catastrophic shifts between ecosystem states and the implications for management and recovery strategies for such ecosystems.

Thresholds and breakpoints in ecosystems with a multiplicity of stable states

TLDR
This review discusses how alternate stable states can arise in simple 1- and 2-species systems, and applies these ideas to grazing systems, to insect pests, and to some human host–parasite systems.

Slowing down as an early warning signal for abrupt climate change

TLDR
This work analyzes eight ancient abrupt climate shifts and shows that they were all preceded by a characteristic slowing down of the fluctuations starting well before the actual shift, implying independent empirical evidence for the idea that past abrupt shifts were associated with the passing of critical thresholds.

A universal law of the characteristic return time near thresholds

TLDR
A universal law for this increase in characteristic return time to an equilibrium increases when a threshold is approached is found, which may be used to forecast the position of a threshold by extrapolation of empirical data.

Detection of climate system bifurcations by degenerate fingerprinting

A method is introduced to estimate the proximity of climate sub‐systems to non‐linear thresholds. We suggest to measure the smallest decay rate of the system under investigation and to consider its
...