Systems and methods are provided for adjusting long acting insulin medicament dosages for a subject. A plurality of timestamped glucose measurements of the subject is obtained. A titration glucose level (246) is computed as a measure of central tendency (244, 268, 274) of a titration subset of small glucose measurements (240, 269, 273) identified within the timestamped glucose measurements, wherein the measure of central tendency represents a measure of small glucose measurements for the primary time window. A long acting insulin medicament dosage (216) is adjusted or maintained based upon the obtained titration glucose level (246).