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  Predictions of critical transitions with non-stationary reduced order models

Franzke, C. (2013). Predictions of critical transitions with non-stationary reduced order models. Physica D-Nonlinear Phenomena, 262, 35-47. doi:10.1016/j.physd.2013.07.013.

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 Creators:
Franzke, Christian1, Author           
Affiliations:
1A 1 - Climate Variability and Predictability, Research Area A: Climate Dynamics and Variability, The CliSAP Cluster of Excellence, External Organizations, Bundesstraße 53, 20146 Hamburg, DE, ou_1863478              

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Free keywords: STOCHASTIC CLIMATE MODELS; MATHEMATICAL FRAMEWORK; NON-GAUSSIANITY; TIPPING POINTS; NORMAL FORMS; TIME-SERIES; SYSTEM; REDUCTION; BIFURCATIONS; SHIFTSStochastic modelling; Tipping points; Model reduction; Non-stationarity; Bifurcation; Critical transition;
 Abstract: Here we demonstrate the ability of stochastic reduced order models to predict the statistics of nonstationary systems undergoing critical transitions. First, we show that the reduced order models are able to accurately predict the autocorrelation function and probability density functions (PDF) of higher dimensional systems with time-dependent slow forcing of either the resolved or unresolved modes. Second, we demonstrate that whether the system tips early or repeatedly jumps between the two equilibrium points (flickering) depends on the strength of the coupling between the resolved and unresolved modes and the time scale separation. Both kinds of behaviour have been found to precede critical transitions in earlier studies. Furthermore, we demonstrate that the reduced order models are also able to predict the timing of critical transitions. The skill of various proposed tipping indicators are discussed. (C) 2013 Elsevier B.V. All rights reserved.

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Language(s): eng - English
 Dates: 2013
 Publication Status: Issued
 Pages: -
 Publishing info: -
 Table of Contents: -
 Rev. Type: Peer
 Degree: -

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Title: Physica D-Nonlinear Phenomena
Source Genre: Journal
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Publ. Info: -
Pages: - Volume / Issue: 262 Sequence Number: - Start / End Page: 35 - 47 Identifier: ISSN: 0167-2789