Bayesian stability analysis of the AMOC using nested time-dependent autoregressive model

Abstract. The Atlantic Meridional Overturning Circulation (AMOC) is a major climate element subject to possible ongoing loss of stability. Recent studies have found evidence of a gradual weakening in circulation, including early warning signals (EWS), such as increased fluctuations and correlation time of the system, which are both known to be indicators of a possible forthcoming tipping point. To assess these changes in statistical behavior we propose a robust and general statistical model based on a second-order autoregressive process with time-dependent parameters that allow for the statistical changes from increased external variability and destabilization to be accounted for separately. We estimate the time evolution of the correlation parameters using a hierarchical Bayesian modeling framework which also yields uncertainty quantification through the posterior distribution. To assess possible changes in AMOC stability we apply the model to an AMOC fingerprint proxy based on the Sub-Polar Gyre and the global mean temperature anomaly. We find statistically significant EWS which suggests that AMOC is indeed undergoing a loss of stability and is getting closer to a tipping point. The methodology developed in this study is made publicly available as an extension of the R-package INLA.ews.