Interpolation of Rainfall Data using Classical and Geostatistical Methods, Case Study: Sisab Station, Northern Khorasan

Document Type : Original Article

Authors

1 Ph.D Student of Water Engineering Department, Faculty of Agriculture, Ferdowsi University of Mashhad

2 Professor of Water Engineering Department, Faculty of Agriculture, Ferdowsi University of Mashhad

3 Lecturer, Civil Department, Faculty of Engineering, Azad University of Mashhad

4 Associate Professor of Water Engineering Department, Faculty of Agriculture, Ferdowsi University of Mashhad

5 Professor of Agronomy and Plant Breeding Department, Faculty of Agriculture, Ferdowsi University of Mashhad

Abstract

It is possible to interpolate rainfall missing data in one synoptic station, using recorded data in the adjacent stations. Inverse Distance Weighting and Kriging methods are the most common geostatistical methods which address this problem. In this paper, we have used modified inverse distance weighting, Ordinary Kriging, and Co-Kriging methods to interpolate weekly rainfall missing data in Sisab station in Northern Khorasan. For this purpose, we have used recorded rain fall data over the last thirty years in 11 adjacent stations. Paired Sample T-Test results show there is no significant difference in the significant level 5% between interpolated and actual data through all three used interpolation methods. Paired Sample T-Test results show in the To evaluate the  estimation error, and hence, the best interpolation method,  statistic indices such as coefficient of determination, root mean square error, mean absolute error, mean bias error and RMSE-observations standard deviation ratio are used. This comparison study shows that although all three methods are capable to interpolate the missing data, but Co-Kriging method has more accurate performance incorporating the altitude data of the stations. In this paper, the best fitted semi variance has been achieved by spherical model and 15 to 25 km range through Kriging methods.

Keywords

References

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Iranian Journal of Irrigation & Drainage
Volume 11, Issue 1 - Serial Number 61
May and June 2017
Pages 93-103

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