1. A method for posterior estimation of variables in water distribution networks, the method comprising: receiving, by one or more processors, a set of data inputs based on information received from a water distribution system; determining, by the one or more processors, a first model of the water distribution network based on the set of data inputs and uncertainty information; and determining, by the one or more processors, a second model of the water distribution network based on the set of data inputs, and the first model.