Spot color tables, or spot color emulation colorant recipes are updated using information generated during a first and second process color related system calibration. Rather than separately calibrate, through trial and error, individual spot color emulation colorant recipes, information from the first and second general system calibrations is used to adjust spot color recipes. In one embodiment, processing an existing or initial spot color recipe through both a first system model and a second system model generates a device independent color difference. A colorant difference is then determined by transforming a predicted color difference according to estimated partial derivatives of aspects of the second system model, wherein the partial derivatives relate changes in colorant amounts to changes in parameter values of a machine independent color space.