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This invention pertains to digital imaging. More particularly, this invention relates to methods and apparatus for reducing colorant used in digital printing. A digital printer receives image data from a computer and places colorant, such as ink or toner, on a sheet of receiving material, such as paper or transparency plastic. The printer may use a variety of different technologies to transfer colorant to the page, including inkjet, thermal dye transfer, thermal wax, electrophotographic, silver halide, and other processes. High quality digital color printers typically use a combination of cyan, magenta, yellow, and black (“CMYK”) colorants, although some printers may use more than or less than these four colorants. Each individual colorant commonly is referred to as a “channel,” with the amount of colorant for each channel typically specified as a percentage between 0 and 100%. Thus, on a four-color printer, the maximum amount of colorant that may be specified is 400%, corresponding to 100% on all four channels. If excessive colorant is used, however, undesirable image artifacts such as bleeding (an undesirable mixing of colorants along a boundary between printed areas of different colorants), cockling (warping or deformation of the receiving material that may occur from using excessive colorant), flaking and smearing may result that produce an unacceptable print. In severe cases, excessive ink may cause the receiving material to warp so much that it interferes with the mechanical operation of the printer and may damage the printer. In addition, for many color printers, satisfactory density and color reproduction can generally be achieved without using the maximum amount of colorant. Therefore, using excessive colorant not only may cause undesirable image artifacts and may damage a printer, but it also wastes colorant. Generally, the amount of colorant needed to cause undesirable image artifacts (and therefore be considered excessive) depends on the receiver material, colorant and printer technology. To minimize the effects of excessive colorant, previously known printing systems often include colorant limitation devices or methods. Referring to FIG. 1, a conventional colorant limitation system is described. Colorant limitation system 10 includes colorant limiter 12, which receives input data and provides colorant-limited input data to print output device 14, which generates a print document in accordance with the colorant-limited input data. Previously known techniques for limiting colorant usage, such as the system of FIG. 1, have typically performed colorant reduction without including the effects of actual print output device performance. For example, Allen et al. U.S. Pat. No. 5,633,662 (“Allen”) describes a process for controlling ink volume in liquid ink printing systems by comparing the total specified ink volume per pixel to a selected maximum total ink volume per pixel. Depleted ink volumes are formed by applying a scaling factor to each pixel, or to those pixels having ink volumes that exceed a threshold ink volume. Likewise, Li et al. U.S. Pat. No. 5,872,896 (“Li”) describes an ink limiting algorithm in which pixels that exceed a total ink limit are reduced, with some pixels reduced to values that are significantly below