Shannon's diversity index (Diversity metric)

lsm_l_shdi(landscape)

## Arguments

landscape Raster* Layer, Stack, Brick, SpatRaster (terra), stars, or a list of rasterLayers.

tibble

## Details

$$SHDI = - \sum \limits_{i = 1}^{m} (P_{i} * \ln P_{i})$$ where $$P_{i}$$ is the proportion of class i.

SHDI is a 'Diversity metric'. It is a widely used metric in biodiversity and ecology and takes both the number of classes and the abundance of each class into account.

None

SHDI >= 0

### Behaviour

Equals SHDI = 0 when only one patch is present and increases, without limit, as the number of classes increases while the proportions are equally distributed

## References

McGarigal, K., SA Cushman, and E Ene. 2012. FRAGSTATS v4: Spatial Pattern Analysis Program for Categorical and Continuous Maps. Computer software program produced by the authors at the University of Massachusetts, Amherst. Available at the following web site: http://www.umass.edu/landeco/research/fragstats/fragstats.html

Shannon, C., and W. Weaver. 1949. The mathematical theory of communication. Univ. IllinoisPress, Urbana

lsm_c_pland
lsm_l_shdi(landscape)