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3. Integrated analysis of spatial and attribute data - RTC, Regional ...

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Calculate the empirical semivariogramThe ordinary kriging model is:‣where s =(X,Y) location; one <strong>of</strong> the sample locations is s = (1,5),<strong>and</strong>‣Z(s) is the value at that location; for example, Z(1,5) = 100.‣The model is based on a constant mean m for the <strong>data</strong> (no trend) <strong>and</strong> r<strong>and</strong>omerrors e(s) with <strong>spatial</strong> dependenceThe predictor is formed as a weighted sum <strong>of</strong> the <strong>data</strong>:where‣Z(si) is the measured value at the ith location, for example, Z(1,5) = 100;‣ג i is an unknown weight for the measured value at the ith location; ‣s 0is the prediction location, for example, (1,4); <strong>and</strong> N = 5 for the fivemeasured values98

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