The invention discloses a receiver of GNSS positioning signals which has embedded computer logic to select between a first operating mode, which uses all available frequencies, and a second operating mode, which uses only part of the available frequencies but in combination with available correction data. The selection is based on a comparison of an index of quality of reception at the receiver and a computed or predicted precision/confidence level of the corrections. A plurality of corrections types are possible, including a type using a local model and a type using collaborative corrections. In some embodiments, a selection and/or a combination of a plurality of local models may be made to optimize the accuracy of the corrections.