Abstract. This paper proposes a new mathematical method of
ionospheric delay estimation in single point positioning (SPP) using a
single-frequency receiver. The proposed approach focuses on the Δ vertical total electron content (VTEC) component estimation (MSPPwithdVTEC) with the assumption of an initial
and constant value equal to 5 TECU in any observed epoch. The principal purpose
of the study is to examine the reliability of this approach to become
independent from the external data in the ionospheric correction calculation
process. To verify the MSPPwithdVTEC, the SPP with the Klobuchar algorithm
was employed as a reference model, utilizing the coefficients from the
navigation message. Moreover, to specify the level of precision of the
MSPPwithdVTEC, the SPP with the International Global Navigation
Satellite Systems (GNSS) Service (IGS) TEC map was adopted for comparison as
the high-quality product in the ionospheric delay determination. To perform
the computational tests, real code data were involved from three different
localizations in Scandinavia using two parallel days. The criterion was the
ionospheric changes depending on geodetic latitude. Referring to the
Klobuchar model, the MSPPwithdVTEC obtained a significant improvement of
15 %–25 % in the final SPP solutions. For the SPP approach employing the IGS
TEC map and for the MSPPwithdVTEC, the difference in error reduction was not
significant, and it did not exceed 1.0 % for the IGS TEC map. Therefore,
the MSPPwithdVTEC can be assessed as an accurate SPP method based on error
reduction value, close to the SPP approach with the IGS TEC map. The main
advantage of the proposed approach is that it does not need external data.