Article,

Error associated with the spatial interpolation of mean solar irradiances

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Solar Energy, 37 (2): 135--146 (1986)

Abstract

Spatial interpolation errors at 2816 grid points covering Canada are determined using 10- year averages of the solar irradiances for 130 stations unevenly distributed throughout the same area. Three specific interpolation schemes are evaluated (2 and 3 station inverse distance weighted interpolation and single station extrapolation) though the data set and algorithm (based on kriging) are sufficiently general that other strategies could also be evaluated. In southern Canada relative values of the extrapolation error for ten-year means are typically between 1 and 2% and decrease to less than 1% if values are interpolated using data from three stations. Errors are higher at coastal locations and in the Canadian Arctic due to generally greater interpolation distances and increased spatial variability. Lower actual irradiances also influences the relative errors. There is little advantage to including additional data from stations in adjacent areas of the U.S. since interpolation and extrapolation errors are generally already less than the errors associated with measurement and modelling procedures and with temporal sampling (i.e., the long-term representativeness of a 10-year mean).

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