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Gouretski et. all MBT Bias Depth and Temperature Corrections
Gouretski, V. and F. Reseghetti, 2010: On depth and temperature biases in bathythermograph data: Development of a new correction scheme based on analysis of a global ocean database.

Depth correction

Below 40 meters:

S = 1 + b + a/Zoriginal, where S is the stretching , Zoriginal is the observed depth.

Above 40 meters:

S = c + (Zoriginal - 5) * (d - c)/35, where d = 1 + b + a/40

The values of a, b and c for the years 1941 to 2003 are provided in table 1.

The corrected depth, Zcorrected = Zoriginal * S

Temperature bias correction

Tcorrected = Toriginal - Thermal bias

Thermal bias for MBT for the years 1941 to 2003 are presented in table 2.