An Alternate Method for Estimating Dynamic Height from XBT Profiles Using Empirical Vertical Modes

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Abstract
A technique is presented that applies modal decomposition to estimate dynamic height (0–450 db) from XBT temperature profiles. STD data are used to establish empirical relationships between vertically integrated temperature profiles and empirical dynamic height modes. These are then applied to XBT data to estimate dynamic height. A standard error of 0.028 dynamic meters is obtained for the waters of the Gulf of Alaska—an ocean region subject to substantial freshwater buoyancy forcing and with a T–S relationship that has considerable scatter. The residual error is a substantial improvement relative to the conventional T–S correlation technique when applied to this region. Systematic errors between estimated and true dynamic height were evaluated. The 20-year-long time series at Ocean Station P (50°N, 145°W) indicated weak variations in the error interannually, but not seasonally. There were no evident systematic alongshore variations in the error in the ocean boundary current regime near the perimeter of the Alaska gyre. The results prove satisfactory for the purpose of this work, which is to generate dynamic height from XBT data for coanalysis with satellite altimeter data, given that the altimeter height precision is likewise on the order of 2–3 cm. While the technique has not been applied to other ocean regions where the T–S relation has less scatter, it is suggested that it could provide some improvement over previously applied methods, as well.

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