The variance accounted for by these variations is about 26% for ENSO, 15% each for the 9-year and 15-17 year oscillations, and about 25% for the trend. While not strictly additive because each occurs to a varying degree in the four rivers, these oscillatory components indicate a potentially useful degree of regional climate predictability. In this paper we use the 1911-93 river flow records to build and test an autoregressive statistical prediction model for these rivers, based on the above oscillatory components. The model uses a standard approach based on singular spectrum analysis (SSA) combined with the maximum entropy method (SSA-MEM; Keppenne and Ghil, 1992, J. Geophys. Res.). SSA is firstly used to identify the predictable components. Low-order autoregressive models are then fitted to the filtered components, which are then extrapolated forward in time to make a prediction. Using contingency tables, we demonstrate marked changes in the conditional probability of above and below normal monthly streamflow, according to the phase of the slow oscillatory components. We report estimates of hindcast skill of these oscillatory components, and make some preliminary probabilistic predictions.
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