An analysis of the relationship between total daily solar radiation receipt and total daily duration of sunshine at Winnipeg, 1950 to 1967

Abstract

Variations in the relationship between total daily solar radiation and sunshine duration, as affected by changes in atmospheric turbidity, and displayed by the parameters a and b of the linear equation Q = Qo (a + b n/N) are studied as a function of time. Daily data are used in the analysis. It is found that a and b are inversely related and vary in a curve that can be described as parabolic over the period of the year. It is found that a' = 0.50187 - 0.0103760 x + 0.00012084 x2, and b' = 0.35526 + 0.0162589 x - 0.000199034 x2, where a' and b' are the least squares estimators of the parameters a and b, and x is any 5-day period.