2. The method of claim 1 , wherein the step of building the range query index further comprises steps of: dividing a monitoring region associated with the at least one range query into one or more initial-level virtual squares; defining one or more levels of virtual squares for each of the initial-level virtual squares; decomposing the at least one range query into one or more of the virtual squares; and associating an identifier of the at least one range query with the one or more decomposed virtual squares.
5. The method of claim 2 , wherein the step of defining one or more levels of virtual squares for each of the initial-level virtual squares further comprises each virtual square having a set of containment-encoded squares.