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MSIEI (landscape level)

Source: R/lsm_l_msiei.R
lsm_l_msiei.Rd

Modified Simpson's evenness index (Diversity metric)

Usage

lsm_l_msiei(landscape, directions = 8)

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).

Value

tibble

Details

$$MSIEi = \frac{- \ln \sum \limits_{i = 1}^{m} P_{i}^{2}} {\ln m}$$ where \(P_{i}\) is the landscape area proportion of class i and \(m\) is the number of classes.

MSIEI is a 'Diversity metric'.

Because the metric is based on distances or areas please make sure your data is valid using check_landscape.

Units

None

Range

0 <= MSIEI < 1

Behaviour

MSIEI = 0 when only one patch is present and approaches MSIEI = 1 as the proportional distribution of patches becomes more even

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

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

See also

lsm_l_siei

Examples

landscape <- terra::rast(landscapemetrics::landscape)
lsm_l_msiei(landscape)
#> # A tibble: 1 × 6
#>   layer level     class    id metric value
#>   <int> <chr>     <int> <int> <chr>  <dbl>
#> 1     1 landscape    NA    NA msiei  0.843