lsm_l_msiei: MSIEI (landscape level)

Description

Modified Simpson's evenness index (Diversity metric)

Usage

lsm_l_msiei(landscape, directions)
# S3 method for RasterLayer
lsm_l_msiei(landscape, directions = 8)
# S3 method for RasterStack
lsm_l_msiei(landscape, directions = 8)
# S3 method for RasterBrick
lsm_l_msiei(landscape, directions = 8)
# S3 method for stars
lsm_l_msiei(landscape, directions = 8)
# S3 method for list
lsm_l_msiei(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).

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. MSIEI is a 'Diversity metric'.

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. 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.

Examples

Run this code

# NOT RUN {
lsm_l_msiei(landscape)

# }

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