Simpson's diversity index (Diversity metric)
Arguments
- landscape
A categorical raster object: SpatRaster; Raster* Layer, Stack, Brick; stars or a list of SpatRasters.
- directions
The number of directions in which patches should be connected: 4 (rook's case) or 8 (queen's case).
Details
$$SIDI = 1 - \sum \limits_{i = 1}^{m} P_{i}^{2}$$ where \(P_{i}\) is the proportion of class i and \(m\) is the number of classes.
SIDI is a 'Diversity metric'. It is widely used in biodiversity and ecology. It is
less sensitive to rare class types than lsm_l_shdi
. It can be interpreted
as the probability that two randomly selected cells belong to the same class.
References
McGarigal K., SA Cushman, and E Ene. 2023. FRAGSTATS v4: Spatial Pattern Analysis Program for Categorical Maps. Computer software program produced by the authors; available at the following web site: https://www.fragstats.org
Simpson, E. H. 1949. Measurement of diversity. Nature 163:688