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Long-range dependence exists in the traffic fluctuations of wired communications systems, which has a bad influence on system performance. On the other hand, interdependence among system components (i.e., interference among users) can be a cause of long-range dependence in cellular system traffic. Moreover, the influence of the interference depends on the transmission power control scheme adopted in the cellular system. From the viewpoint of the long-range dependence caused by interdependence among system components, we analyze the influence of transmission power control schemes on the traffic long-range dependence in a DS-CDMA cellular system by computer simulation. From the simulation results, it is found that the long-range dependence is caused by some transmission power control schemes, and we investigate the cause of the long-range dependence by comparing several power control schemes.