The invention relates to a method for determining concentrations of absorber gases by means of a spectroscopic measuring device (1), wherein wavelength-dependent measured values are determined for a light intensity, and a wavelength-dependent measured value function is represented therefrom. A wavelength-dependent theoretical function is defined, which includes a calibration parameter as well as the concentrations as parameters. The calibration parameter is defined as a function of a device parameter and a correction factor, which depends on the concentrations. A cycle comprising a sequence of steps is consecutively carried out several times, wherein; in a first step, a numerical value for the correction factor is calculated from defined assumed values of the concentrations; in a second step, the theoretical function is determined via the calculated numerical value; in a third step, concentration values are determined by a compensation calculus between the theoretical function determined in the first step and the measured value function, and established as new assumed values. The assumed values determined in the third step of the last cycle are output as measured values.
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