it may also be carried out zone by zone but usually only a small number of zones are formed in this case according to one control strategy of the regulating process according to the present invention a set of weighting parameters according to which an adjustment of the ink screws or an adjustment of the damping agent feed is carried out is determined depending on the zone by zone ink take off of the individual printing inks and their respective overall ink take off by performing measurements at a plurality of points it is possible to decide whether the damping agent feed or the ink feed must be set or whether a weighted adjustment of both manipulated variables is necessary the order of the measuring locations and the frequency with which measurements are performed at the respective measuring locations should also be selected as a function of the image according to the present invention locations with high ink take off should be monitored more frequently especially at the start of the production this corresponds to the dynamics of the inking system because these locations respond to adjustments more quickly at locations with low ink take off the time intervals between two measurements may be longer but it is advantageous to perform a plurality of measurements at locations with low ink take off in order to achieve increased accuracy of the measurement by averaging in fact the differences to be expected from the reference measurement are small so that a more accurate measurement becomes necessary than in the case of high ink take off the present invention preferably pertains to web offset printing especially wet offset but it is not limited to offset.