Abstract

AbstractThe limits of predictability of the meridional overturning circulation (MOC) and upper‐ocean temperatures due to errors in ocean initial conditions and model parametrizations are investigated in an idealized configuration of an ocean general circulation model (GCM). Singular vectors (optimal perturbations) are calculated using the GCM, its tangent linear and adjoint models to determine an upper bound on the predictability of North Atlantic climate.The maximum growth time‐scales of MOC and upper‐ocean temperature anomalies, excited by the singular vectors, are 18.5 and 13 years respectively and in part explained by the westward propagation of upper‐ocean anomalies against the mean flow. As a result of the linear interference of non‐orthogonal eigenmodes of the non‐normal dynamics, the ocean dynamics are found to actively participate in the significant growth of the anomalies. An initial density perturbation of merely 0.02 kg m−3 is found to lead to a 1.7 Sv MOC anomaly after 18.5 years. In addition, Northern Hemisphere upper‐ocean temperature perturbations can be amplified by a factor of 2 after 13 years.The growth of upper‐ocean temperature and MOC anomalies is slower and weaker when excited by the upper‐ocean singular vectors than when the deep ocean is perturbed. This leads to the conclusion that predictability experiments perturbing only the atmospheric initial state may overestimate the predictability time. Interestingly, optimal MOC and upper‐ocean temperature excitations are only weakly correlated, thus limiting the utility of SST observations to infer MOC variability. The excitation of anomalies in this model might have a crucial impact on the variability and predictability of Atlantic climate. The limit of predictability of the MOC is found to be different from that of the upper‐ocean heat content, emphasizing that errors in ocean initial conditions will affect various measures differently and such uncertainties should be carefully considered in decadal prediction experiments. Copyright © 2011 Royal Meteorological Society

Highlights

  • The past century North Atlantic surface climate variability is often described as a combination of an interannual and a multi-decadal mode (e.g. Deser and Blackmon, 1993)

  • The purpose of this study is to investigate the variability and predictability limits of the North Atlantic Ocean to upper-ocean perturbations and air–sea forcing in an idealized configuration of a three-dimensional ocean general circulation model (GCM)

  • We find that meridional overturning circulation (MOC) variability can be excited by upper-ocean initial temperature and salinity on a time-scale of 18.5 years due to the interference of three eigenmodes of the linearized dynamics

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Summary

Introduction

The past century North Atlantic surface climate variability is often described as a combination of an interannual and a multi-decadal mode (e.g. Deser and Blackmon, 1993). Many studies involving numerical models show potential predictability of the North Atlantic sea surface temperatures (SSTs), upper-ocean heat content and MOC on decadal timescales (Griffies and Bryan, 1997; Boer, 2000; Pohlmann et al, 2004; Sutton and Hodson, 2005; Collins et al, 2006). The leading singular vectors help identifying regions where observations could be targeted to improve our understanding of climate variability and our ability to predict these fluctuations, provide linear estimates of uncertainties in ocean initial conditions and model parametrizations, and provide time-scales for error growth limiting the predictability in the region. We find that MOC variability can be excited by upper-ocean initial temperature and salinity on a time-scale of 18.5 years due to the interference of three eigenmodes of the linearized dynamics.

The MITgcm and the ocean steady state
Evaluation of upper-ocean singular vectors
Maximizing MOC anomalies
Spatial structure of the leading singular vector
Eigenmodes of the linearized propagator
Transient amplification of MOC anomalies
Energy growth and further evidence of non-normal effects
Implications for predictability and variability of the MOC
Maximizing upper-ocean temperature anomalies
Excitation of upper-ocean temperatures
Findings
Transient growth of the upper-ocean temperatures
Full Text
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