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Based on the cross-section data, a mixing metric is computed for each cross section.
We take more than 10 cross sections for vertical and horizontal directions, calculate the center for each cross section, and estimate the standard deviation of them.
The panel data were called "balance panel" because the number of time observations (17 years) is the same for each cross section (15 selected countries of the Asia-Pacific region).
For each cross section, W describes the spatial arrangement of the n units and each entry w ij of W is greater than zero if units i and j can be considered as neighbors.
The cut volume ( E_{C,i} ) and fill volume ( E_{F,i} ) are calculated for each cross section ( i ) by stratifying each section with very small intervals and calculating the cut area ( A_{C,i}^{j} ) and fill area ( A_{F,i}^{j} ) between the proposed and the existing ground for each stratum ( j ).
H. Co-localization in 2D: the co-localization can also be studied in 2D for each cross section located at height z.
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Relocated hypocenters are plotted for events within 15 km of each cross section, with gray circles indicating ordinary earthquakes and red stars marking LFEs.
At least two methods are provided for computing each cross section.
For static position, each cross section depends on a, b, r, and z.
For numerical analysis, each cross section image was automatically divided by a custom Matlab program into 12 areas corresponding to the periosteal, mid-cortex and endosteal sectors of the anterior, lateral, posterior and medial cross section quadrants.
For each cross-section, two values of the plate slenderness ratio (plate width-to-thickness ratio) are considered.
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