Consideration of Correlation between Interpolation Precision and Data Sampling Density in Kriging Method

ITO Toshihide, BESSHO Masahiko, CHEN Youqing

doi:10.6010/geoinformatics.25.149

The correlation between the precision of interpolation and data sampling density when estimating the distribution of the CaO grade in a limestone quarry using the kriging method was considered. At first, a reference data set with 160m × 160m area was generated using the grade measurement cuttings in an actually working limestone mine. This CaO grade distribution map was assumed as the reference distribution map. Then, eight testing data sets with 2 to 9m intervals (25.3 to 1.4% data density for the amount of original data) were prepared by thinning out some data points from the reference data set. Distribution maps of the CaO grade were estimated using each testing data set by ordinary kriging with the spherical variogram model. These testing distribution maps were compared with the reference map. As a result, favorable CaO grade distribution maps were obtained from the testing data sets with 2 to 6m interval data (25.3 to 3.0% data density for the amount of original data) that corresponded well with the reference map. It was confirmed that the precision of interpolation decreases as the data density decreases, but the decreasing tendency is not simple like a linear model. Actually, the grade distribution estimated with the testing data set with 5m intervals (4.2% data density for the amount of original data) shows a high interpolation accuracy with a less than 1% error range for more than 75% of the reference area of the face, while more than 50% of the area is beyond the 1% error range using the testing data set with 8m intervals (1.4% data density for the amount of original data). The considerations in this paper provide a guideline with a numerical basis regarding accuracy of interpolation in a limestone quarry.

Consideration of Correlation between Interpolation Precision and Data Sampling Density in Kriging Method

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