The present invention relates to a method for compensation, for example, for temperature compensation of a fiber optic measurement system designed for determining a mechanical quantity. First and second fiber Bragg gratings have a respective Bragg wavelength, wherein the fiber Bragg gratings are irradiated with primary light. After applying a mechanical quantity to the first and second fiber Bragg gratings, the Bragg wavelengths of the fiber Bragg gratings are changed by the mechanical quantity. Filtering of the first and second secondary light, said first and second secondary light is effected from the primary light and modified by the Bragg wavelength of the fiber Bragg grating depending on the mechanical quantity by use of an optical filter device follows, in such a way that the Bragg wavelength of the first fiber Bragg grating lies in the region of the rising filter gradient of the optical filter device and the Bragg wavelength of the second fiber Bragg grating lies in the region of the falling filter gradient of the optical filter device. After determining the intensities of the filtered first and second secondary light, they are compared, whereupon the mechanical quantity is determined from the intensity comparison.