A GNSS system operates intermittently and has adaptive activity and sleep time in order to reduce power consumption. The GNSS system provides an enhanced estimate of its position in the absence of GNSS signals of sufficient strength. The user's activity and behavior is modeled and used to improve performance, response time, and power consumption of the GNSS system. The user model is based, in part, on the received GNSS signals, a history of the user's positions, velocity, time, and inputs from other sensors disposed in the GNSS system, as well as data related to the network. During each activity time, the GNSS receiver performs either tracking, or acquisition followed by tracking. The GNSS receiver supports both normal acquisition as well as low-power acquisition.