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

## Description

Landscape division index (Aggregation metric)

## Usage

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

## Details

DIVISON = (1 - ∑ \limits_{i = 1}^{m} ∑ \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).

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.

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

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

lsm_p_area, lsm_l_ta,
lsm_c_division
 1 lsm_l_division(landscape)