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Local Statistics (categorical variable)

In addition to the local value, all statistics of a categorical variable can be calculated around a location from a categorical spatial layer. E.g.: area or proportion of a category, most frequent (modal) category, the second and third mode, the number of categories, distance to the patch boundary or to a given category, different pattern and diversity indices.
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ID P Question or exercise
3979 3 Pixel values in file PK54443.rst represent basic areal categories according to Estonian topographical base map.
  1. Calculate the number of these categories within 100 m circular kernel to a figure.
  2. In what parts (at which landscape categories) of this map sheet is landscape more diverse?
  3. What is the smallest and largest number of basic areal categories within 100 m in this map sheet?
3938 3
  1. Which terrain type is most frequent within 2 km around Veski Nature reserve (LEst XY: 6446074, 664132)?
  2. Which are the two following more frequent types?
  3. Which is the share of these terrain types [%]?
3947 3 Landscape diversity can be measured by the number of different land cover categories in a fixed size area or in certain radius around a location.
  1. Is landscape diversity according to the number of Corine land cover categories larger in drumlin areas or in the glacial accumulated mounds in Estonia? Present the mean number of Corine land cover categories in 1 km radius in both above mentioned landscape types.
  2. Is this difference in mean values statistically significant? Present the number of locations used and the significance p value.
  3. How to explain the difference?