| lsm_c_mesh {landscapemetrics} | R Documentation |
MESH (class level)
Description
Effective Mesh Size (Aggregation metric)
Usage
lsm_c_mesh(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). |
Details
MESH = \frac{\sum \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.
Because the metric is based on distances or areas please make sure your data
is valid using check_landscape.
Units
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.
Value
tibble
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
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_l_mesh
Examples
landscape <- terra::rast(landscapemetrics::landscape)
lsm_c_mesh(landscape)