The invention provides distance to empty prediction with long term distance compensation. A vehicle is provided which may include an energy conversion device, an energy source to supply power to the energy conversion device, and at least one controller. The controller may be programmed to, in response to detecting one or more noise factors expected to affect propulsive energy consumption of the energy conversion device from vehicle start until the energy source is empty, output a distance to empty (DTE) based on a change in energy consumption rate due to the one or more noise factors and predicted to last at least until the energy source is empty. The controller may further include a DTE prediction architecture including a feed-forward energy consumption estimator, an energy consumption learning filter, and a DTE calculator. A method for estimating distance to empty for a vehicle is also provided which may output a DTE modified by a predicted change in energy consumption rate selected to include a compensation factor corresponding to and correcting for a noise factor.