Abstract

Kriging as optimal spatial interpolation can produce less precise predictive value if there are outliers among the data. Outliers defined as extreme observation value of the other observation values that may be caused by faulty record keeping, improper calibration equipment or other posibbilities. Development of Ordinary Kriging method is Robust Kriging which transforms weight of clasic variogram thus become variogram that robust to outlier. The spatial data that used in this research is the spatial data that contains outliers and meet the assumptions of Ordinary Kriging. The analysis showed that the estimation value of Ordinary Kriging and Robust Kriging method is not much different in terms of Mean Absolute Deviation values which generated by both methods. An increase value of Mean Absolute Deviation on Robust Kriging estimation does not indicate that the Ordinary Kriging method is more precise than Robust Kriging method in the rainfall estimates of Amlapura control point remind that Robust Kriging does not eliminate the data of observation such as the Ordinary Kriging method. In general, Ordinary Kriging and Robust Kriging method can estimate the rainfall value of Amlapura control point quite well although it is not able to cover the changes in rainfall value that occurs due to the behavior geographic data.

Highlights

  • The analysis showed that the estimation value of Ordinary Kriging and Robust Kriging method is not much different in terms of Mean Absolute Deviation values which generated by both methods

  • Pendugaan curah hujan terhadap titik kontrol Amlapura dengan metode Robust Kriging menghasilkan nilai Mean Absolute Deviation (MAD) yang sedikit lebih besar dari nilai MAD yang dihasilkan pada pendugaan dengan metode Ordinary Kriging

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Summary

Variogram dan Semivariogram

Variogram adalah suatu fungsi acak intrinsik yang menunjukkan seberapa besar perubahan perbedaan sebanding dengan peningkatan jarak. Apabila suatu variabel pengukuran dan semakin jauh maka nilai akan semakin besar. Tujuan utama dari variogram adalah untuk memahami perbedaan kuadrat antar setiap titik: Jika varians dari perbedaan [. Fungsi disebut variogram sedangkan fungsi disebut semivariogram

Semivariogram Eksperimental Klasik
Spasial Outlier
Robust Kriging
Pengujian Data Pencilan
Singarata Besakih
Pengujian Asumsi Stationer Intrinsik
Metode Ordinary Kriging
Data Set
Metode Robust Kriging
Spherical Exponential
Nilai Dugaan Galat Galat Mutlak Nilai Dugaan Galat Galat Mutlak
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