The potential role of spectral properties in detecting thresholds in the Earth system: application to the thermohaline circulation

By T. Kleinen, Hermann Held, G. Petschel-Held. 2003

199 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/7be1503a792568ba35e9ba65a6a98876dc2bc808

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Citations in the corpus

Spatial correlation as leading indicator of catastrophic shifts (2010, background): “It has been shown in models that in such situations, one should expect that there is an increase in autocorrelation (Ives 1995; Kleinen et al. 2003; Held and Kleinen 2004) and in variance (Carpenter and Brock 2006) in the pattern of fluctuations as a bifurcation is approached.”
Interacting regime shifts in ecosystems: implication for early warnings (2010, background): “…standard 89 deviations or variances may increase (Carpenter and Brock 2006), variance may shift to lower 90 frequencies in the variance spectrum (Kleinen et al. 2003, Carpenter et al. 2008, Biggs et al. 91 2009, Contamin and Ellison 2009), skewness may increase (Guttal and Jayaprakash 2008) and…”
RESILIENCE: THE EMERGENCE OF A PERSPECTIVE FOR SOCIAL-ECOLOGICAL SYSTEMS ANALYSES (2006, background): “Recent work suggest that complex systems ‘‘stutter’’ or exhibit increased variance at multiple scales in advance of a regime shift (Kleinen et al., 2003; Carpenter and Brock, 2006).”
Network resilience (2020, background): “suggesting that the rate of system recovery to the original state is becoming lower when it is approaching the vicinity of the tipping point [213, 380, 215, 222, 216, 217].”
A mathematical framework for critical transitions: Bifurcations, fast–slow systems and stochastic dynamics (2011, methodology): “Our numerical approach can also provide benchmark data for time series analysis methods [59, 46].”
Slowing down as an early warning signal for abrupt climate change (2008, methodology): “Held H, Kleinen T (2004) Detection of climate system bifurcations by degenerate fingerprinting.”
Detection of climate system bifurcations by degenerate fingerprinting (2004, background): “[3] Kleinen et al. [2003] injected a fresh aspect into the debate by suggesting a change in spectral properties of q as a fundamental indicator for jDmj ! 0.”
Physical and biological feedbacks of deforestation (2012, background): “, lower frequencies) prior to a regime shift [Kleinen et al., 2003; Carpenter and Brock, 2006; Scheffer et al., 2009; Carpenter et al., 2011].”
Methods for Detecting Early Warnings of Critical Transitions in Time Series Illustrated Using Simulated Ecological Data (2012, background): “A system close to a transition tends to show spectral reddening: higher variation at low frequencies [20].”
Ecological thresholds and regime shifts: approaches to identification. (2009, background): “the relative increase of fluctuations of low frequency) [56], increasing return time from perturbations [57, 58], growing skewness [59].”