4.8
How unnatural are the observed Tropical SST trends over the last 50 years ?
Here we take an alternative approach, using a linear inverse model (LIM) of tropical SST variability derived from the observed zero-lag and 4-month lag covariances of SSTs over the last half century. The model can be integrated forward in time using a linear evolution operator determined as above, and a stochastic forcing whose amplitude and spatial structure are also estimated from those same observed covariance statistics. The stochastic forcing can be treated as either SST-independent (additive noise) or weakly SST-dependent (multiplicative noise). We have made three 100,000 year integrations of this LIM with additive forcing and two different types of multiplicative forcing, and split the simulated SST time series into 2000 separate 50-year segments. At each tropical location, the trend over 50 years was calculated in each of the 50-year segments, and the probability distribution of these trends was estimated from the results for the 2000 segments. At most locations, the observed 50-year trend was found to lie at the extreme end of the distribution of the simulated trends, This result was obtained regardless of whether the specified stochastic forcing was assumed to be additive or multiplicative. Our analysis thus leads us to conclude that the observed 50-year trends of SST at most tropical locations, and especially in the Indian and west Pacific oceans, are not consistent with naturally occurring 50-year trends expected from the observed statistics of interannual SST variability over the last half century.