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This is a model of sea-level height at Brest, France since 1880, cross-validated in the interval shown. It uses Laplace's tidal equations (LTE) and applies long-period tidal forcing factors over the training interval. Despite being obvious, no one has ever tried doing this in the research lit.

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Can do similar models for SLH have way around the world at Ft Denison in Sydney harbor and cross-validate. The ground-breaking result is that it also works for all the oceanic climate indices, from ENSO to AMO. They all use approximately the same mix of tidal factor amplitudes.