Development and Application of Multidimensional Linear Interpolation
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Abstract:
Spatial interpolation is an important approach to investigate the spatial distribution of meteorological and hydrological variables, and the suitable interpolation methods and reasonable control stations are beneficial to improve the precision of interpolation results. In this paper, a multidimensional liner spatial interpolation method was developed based on the daily precipitation at each of 607 stations in 2010 and the horizontal distribution and elevation of each station. Under different scenarios with varying control stations (n=4, 8, and 12), The applications of multidimensional linear interpolation, inverse distance weighting interpolation (IDW), spline interpolation, and kriging interpolation (Spherical model and Gaussian model) to calculate the annual precipitation of 30 test stations were analyzed. The results showed that the interpolation results from different methods are significantly different, and the number of control stations has a significant impact on the precision of results with the existence of more control stations resulting in less difference between interpolation results. The multidimensional linear interpolation showed good interpolation precision under all scenarios and it can be an effective and reasonable solution for the future research of spatial interpolation.
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