Three functional relations between vibration exposure of the hand and the development of vibration-induced white finger have been derived. They are based on signs and symptoms reported by members of 40 population groups. Each group consisted of workers whose full-time occupation involved operation of a particular type of vibratory power tool or industrial process. The dose-effect relations suggest that, in these and similar population groups, the average rate of appearance of white fingers, the range of times for them to appear in individual members of a group, and their progression can all be related to the frequency-weighted, rms, component acceleration of a surface in contact with the hand.