lsm_l_mesh | R Documentation |
Effective Mesh Size (Aggregation metric)
lsm_l_mesh(landscape, directions = 8)
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). |
MESH = \frac{\sum \limits_{i = 1}^{m} \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 sum is 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
cell size / total area <= MESH <= total area
Equals cellsize/total area if class covers only one cell and equals total area if only one patch is present.
tibble
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: https://www.umass.edu/landeco/
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_mesh
lsm_l_mesh(landscape)
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