Comparison of intensity estimation methods for an earthquake spatial point pattern

Intensity is described as the number of points per unit area for a spatial point pattern. Intensity estimation of a spatial point pattern is necessary to determine hot spots, cold spots and clusters in a study region. Moreover, intensity may be a determinant for spatial point pattern type. It is also an indicator of risks while the points called events include the locations of the earthquakes through a fault zone, crime incidences in a district and etc. Therefore, determining the intensity provides taking precautions against possible undesirable and unexpected future incidences. In this study, several methods of intensity estimation for a spatial point pattern are given. Advantages and disadvantages of the mentioned methods are discussed. Finally, intensity images that are obtained by using different methods are compared. Adaptive kernel density estimation gave a better result in comparison to other intensity estimation methods.

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