landscapemetrics (version 1.4.4)

lsm_l_division: DIVISION (landscape level)

Description

Landscape division index (Aggregation metric)

Usage

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

$$DIVISON = (1 - \sum \limits_{i = 1}^{m} \sum \limits_{j = 1}^{n} (\frac{a_{ij}} {A}) ^ 2) $$ where \(a_{ij}\) is the area in square meters and \(A\) is the total landscape area in square meters.

DIVISION is an 'Aggregation metric. It can be in as the probability that two randomly selected cells are not located in the same patch. The landscape division index is negatively correlated with the effective mesh size (lsm_c_mesh).

Units

Proportion

Ranges

0 <= Division < 1

Behaviour

Equals DIVISION = 0 if only one patch is present. Approaches DIVISION = 1 if all patches of class i are single cells.

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

Jaeger, J. A. 2000. Landscape division, splitting index, and effective mesh size: new measures of landscape fragmentation. Landscape ecology, 15(2), 115-130.

See Also

lsm_p_area, lsm_l_ta, lsm_c_division

Examples

# NOT RUN {
lsm_l_division(landscape)

# }