A navigation device comprising a receiver for receiving signals from position sensors, memory having stored therein a seed position and map data which comprises a map of navigable routes in an area, and an output device, such as a display or speaker, for outputting a current location. The navigation device further comprises a processor for determining distance travelled and changes in orientation from the signals and estimating the current location on one of the navigable routes of the map data. The step of estimating comprises using the distance travelled and the changes in orientation to extrapolate from the seed position possible paths along the navigable routes that the navigation device may have travelled and assigning to each path a probability that the navigation device travelled that path. For changes in orientation, the processor expands each path and recalculates the probability that the navigation device travelled that path. The processor assigns the current location to be a current predicted position on the path with the highest probability.