2019
DOI: 10.1029/2019gl085159
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Understanding the Signal‐to‐Noise Paradox with a Simple Markov Model

Abstract: There is a growing list of examples for the existence of the signal‐to‐noise paradox, where in the ensemble‐based climate prediction, the model ensemble mean forecast generally shows higher correlations with observations than with individual ensemble members. This seems to lead to a paradox that the model makes better predictions for the real world than predicting itself. Here we introduce a Markov model to represent the ensemble forecasts and reproduce the signal‐to‐noise paradox, which we argue is primarily … Show more

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Cited by 31 publications
(39 citation statements)
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“…CMIP GCMs underestimate the multi-decadal variability in the NAO and this appears as a lack of serial correlation compared to the observed NAO. This lack of serial correlation in CMIP GCMs is closely linked to the low signal-to-noise ratio in GCMs (Zhang and Kirtman 2019), whereby the variance of the ensemble mean (signal) in predictions of the NAO is weaker than would be expected given the correlation with observations (Scaife et al 2014;Eade et al 2014;Scaife and Smith 2018;Smith et al 2020). The CMIP 1963-1993 multimodel ensemble mean trend is very weak (0.00183 year −1 ) relative to the observed trend, and there is no consistency in the timing of maximum NAO trends in the individual GCM simulations.…”
Section: Discussionmentioning
confidence: 99%
“…CMIP GCMs underestimate the multi-decadal variability in the NAO and this appears as a lack of serial correlation compared to the observed NAO. This lack of serial correlation in CMIP GCMs is closely linked to the low signal-to-noise ratio in GCMs (Zhang and Kirtman 2019), whereby the variance of the ensemble mean (signal) in predictions of the NAO is weaker than would be expected given the correlation with observations (Scaife et al 2014;Eade et al 2014;Scaife and Smith 2018;Smith et al 2020). The CMIP 1963-1993 multimodel ensemble mean trend is very weak (0.00183 year −1 ) relative to the observed trend, and there is no consistency in the timing of maximum NAO trends in the individual GCM simulations.…”
Section: Discussionmentioning
confidence: 99%
“…Two hypotheses stemming from hindcast experiments are that winter NAO skill is enhanced by skillful prediction of a QBO teleconnection that is too weak in models (O'Reilly et al 2019), and that transient eddy feedbacks are too weak in models . Others based on simple models suggest that the NAO predictable signal is too weak because climate models switch between NAO regimes too rapidly (Strommen and Palmer 2019), or exhibit less persistent NAO variability than is observed (Zhang and Kirtman 2019).…”
Section: Seasonal To Decadalmentioning
confidence: 99%
“…Consequently, the real world is more predictable than climate models suggest 10,18 and uncertainties diagnosed from raw model simulations are too large. The cause of this error is not yet known, though there are several hypotheses including weak teleconnections to the quasi-biennial oscillation 40 , lack of persistence in the NAO 41,42 and in weather regimes , unresolved ocean atmosphere interactions and weak transient eddy feedback .…”
mentioning
confidence: 99%