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Application of Kriging Technique to Seismic Intensity Data

¹ Istituto Nazionale di Geofisica e Vulcanologia
Via di Vigna Murata, 605
I-00143 Roma, Italy
 (V.DeR., P.T., C.G.)

² Istituto Nazionale di Statistica
Ufficio Regionale
Viale Liegi, 13
I-00198 Roma, Italy
 (A.S.)

Spatial analysis, involving experimental semivariogram evaluation and kriging interpolation, is performed on macroseismic intensity data assumed to represent a regionalized variable. A semivariogram is modeled, showing that data components act at different scale levels. Interpretation of the semivariogram in terms of fractal dimension allows separation of the error component from other scale-dependent components. Use of an objective best spatial-range determination for filtering eliminates the subjective choice that is usually based on data-sampling density, permitting the reconstruction of the smoothed interpolated intensity field. Results are given together with error estimation due to local variability and sampling-density distribution. The method is first applied to synthetic macroseismic data with controlled variable error content and sampling density: the ability to rebuild the original, error-free intensity field is demonstrated. Then macroseismic data from an Italian medium-intensity earthquake are analyzed and spatial intensity attenuation re-evaluated.