Carding is the primary step in the processing of staple fiber in which a disorganized matt of fiber tufts and clumps is converted into an even web of individualized and partially aligned fibers. The fiber to be opened is conveyed by a primary set of pinned rollers past a secondary set of counteracting pins, usually moving at a much lower relative speed. The secondary pinned surfaces are either rollers or flats and are called workers when in the form of rollers. The clearance between the pin sets is small, meaning that fiber tufts become caught in both sets of pins and the difference in speeds pulls the fiber clumps apart, individualizing and aligning the fibers.Fiber is fed into a card as a low-speed, high-density, entangled matt of fiber tufts and is conveyed through the card by a series of transfer rollers with progressively higher speeds. The speed of the final roller of this sequence, referred to here as the swift, is high and typical examples are 2400 m min -1 for a Trützschler TC03 cotton card and 1500 m min -1 for a Thibeau CA7 high-production worsted card. By the time the fiber has reached the swift, it has been converted into a low-density web of individualized and partially aligned fibers.After processing on the swift, the fiber is transferred to a slower moving surface, the doffer, which is the final step of the carding process. Unlike previous transfers in the card, the transfer to the doffer is not completely efficient, so some fiber recycles around the swift where it mixes with incoming less-carded fiber, complicating the opening process. Some of the problems associated with inefficient doffing include fiber breakage, loss of alignment, imperfect opening of tufts, and generation of nep. Since measurements show doffer efficiencies can be low, ~0.1 (see [1]), the difficulty is to optimize opening in the presence of significant levels of recycled fiber.Due to its significance for carding quality, doffing has long been of interest to textile engineers and researchers Abstract A parametric model of fiber transfer to a doffer, based on the geometry of the system and physical models of fiber transfer, was developed to describe the efficiency with which doffers collect fiber from the high-speed carding roller. Doffer speed, normalized to that of the cylinder, was adopted as the variable and parameters, such as wire height, pitch, width, and fiber-layer thickness on the cylinder, were introduced to describe the process of fiber transfer. The equation for doffer efficiency developed by this procedure was tested by fitting it to data on hauteur and noil from a worsted-carding trial employing a range of drafts and production rates. The calculated efficiency of the doffer for these trials was found to lie in the range 0.15-0.25. The effects of changes in the dimensions of the card wire and layer thickness were predicted by changing the values of the parameters.