Determination of semivariogram models to krige hourly and daily solar irradiance in western Nebraska

In this paper, linear and spherical semivariogram models were determined fo r use in kriging hourly and daily solar irradiation for every season of the year. The data used to generate the models were from 18 weather stations i n western Nebraska. The models generated were tested using cross validation . The performance of the spherical and linear semivariogram models were com pared with each other and also with the semivariogram models based on the b est fit to the sample semivariogram of a particular day or hour. There were no significant differences in the performance of the three models. This re sult and the comparable errors produced by the models in kriging indicated that the linear and spherical models could be used to perform kriging at an y hour and day of the year without deriving an individual semivariogram mod el for that day or hour. The seasonal mean absolute errors associated with kriging, within the netwo rk, when using the spherical or the linear semivariograms models were betwe en 10% and 13% of the mean irradiation for daily irradiation and between 12 % and 20% for hourly irradiation. These errors represent an improvement of 1%-2% when compared with replacing data at a given site with the data of th e nearest weather station.