Before revision:  For existing data of the North Sea we show that we can better reconstruct the dynamic sea surface for about 156 months back in time using the height-optimal triangulation than the Delaunay triangulation and even for about 180 months using the k-order height-optimal triangulation for k=2.
After revision:  For existing data of the North Sea we show that we can better reconstruct the dynamic sea surface for about 156 months back in time up to 18 years, and the k-order height-optimal triangulation for k=2.