# lsm_l_msidi: MSIDI (landscape level) In r-spatialecology/landscapemetrics: Landscape Metrics for Categorical Map Patterns

## Description

Modified Simpson's diversity index (Diversity metric)

## Usage

  1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 lsm_l_msidi(landscape, directions) ## S3 method for class 'RasterLayer' lsm_l_msidi(landscape, directions = 8) ## S3 method for class 'RasterStack' lsm_l_msidi(landscape, directions = 8) ## S3 method for class 'RasterBrick' lsm_l_msidi(landscape, directions = 8) ## S3 method for class 'stars' lsm_l_msidi(landscape, directions = 8) ## S3 method for class 'list' lsm_l_msidi(landscape, directions = 8) 

## Arguments

 landscape Raster* Layer, Stack, Brick or a list of rasterLayers. directions The number of directions in which patches should be connected: 4 (rook's case) or 8 (queen's case).

## Details

MSIDI = -\ln ∑ \limits_{i = 1}^{m} P_{i}^{2}

where P_{i} is the landscape area proportion of class i.

MSIDI is a 'Diversity metric'.

None

MSIDI >= 0

#### Behaviour

MSIDI = 0 if only one patch is present and increases, without limit, as the amount of patches with equally distributed landscape proportions increases

tibble

## 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

Simpson, E. H. 1949. Measurement of diversity. Nature 163:688

Pielou, E. C. 1975. Ecological Diversity. Wiley-Interscience, New York.

Romme, W. H. 1982. Fire and landscapediversity in subalpine forests of Yellowstone National Park.Ecol.Monogr. 52:199-221

lsm_l_sidi
 1 lsm_l_msidi(landscape)