# lsm_c_mesh: MESH (class level) In landscapemetrics: Landscape Metrics for Categorical Map Patterns

## Description

Effective Mesh Size (Aggregation metric)

## Usage

 1 lsm_c_mesh(landscape, directions = 8) 

## Arguments

 landscape Raster* Layer, Stack, Brick, SpatRaster (terra), stars, 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

MESH = \frac{∑ \limits_{j = 1}^{n} a_{ij} ^ 2} {A} * \frac{1} {10000}

where a_{ij} is the patch area in square meters and A is the total landscape area in square meters.

The effective mesh size is an 'Aggregation metric'. Because each patch is squared before the sums for each group i are calculated and the sum is standardized by the total landscape area, MESH is a relative measure of patch structure. MESH is perfectly, negatively correlated to lsm_c_division.

Hectares

#### Range

cell size / total area <= MESH <= total area

#### Behaviour

Equals cellsize/total area if class covers only one cell and equals total area if only one patch is present.

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_l_mesh
 1 lsm_c_mesh(landscape)