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Local Statistics (numerical variable)

Local statistics of a numerical variable include the nearest value in the data layer (focal value), sum, mean, standard deviation, minimum, maximum and other statistics calculated from values in the given neighbourhood. In addition, it is possible to calculate more complicated spatial indices. like autocorrelation indices, from a spatial data layer.
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ID P Question or exercise
3984 3
  1. Compare mean altitude, the altitude standard deviation and spatial autocorrelation random samples consisting of 100 locations in Estonian areas of glacial accumulated mounds (mõhnastikud) and in drumlin areas (voorestikud) using different radii.
  2. Present the results as a table.
  3. Highlight the largest differences. Explain the differences.
3987 2 The attached file contains coordinates of Estonian churches from the National Topographical Database. There are less than 100 permanent residents in the 5 km neighbourhood of some churches.
Name these churches or their location.
3992 3 The file Madsa_L.rst in the attached archive contains a greyscale ortophoto where pixel edge is 1 m.
  1. Calculate distance weighted autocorrelation of pixel values in a 10 m grid within round local kernels. Present the result as a figure.
  2. Where is the autocorrelation larger and where is it less?
  3. Explain, how different pixel values determine the differences in autocorrelation values in these sites.