Effective Mesh Size (Aggregation metric)
lsm_c_mesh(landscape, directions)# S3 method for RasterLayer
lsm_c_mesh(landscape, directions = 8)
# S3 method for RasterStack
lsm_c_mesh(landscape, directions = 8)
# S3 method for RasterBrick
lsm_c_mesh(landscape, directions = 8)
# S3 method for stars
lsm_c_mesh(landscape, directions = 8)
# S3 method for list
lsm_c_mesh(landscape, directions = 8)
Raster* Layer, Stack, Brick or a list of rasterLayers.
The number of directions in which patches should be connected: 4 (rook's case) or 8 (queen's case).
tibble
$$MESH = \frac{\sum \limits_{j = 1}^{n} a_{ij} ^ 2} {A} * \frac{1} {10000}$$ 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
.
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.
# NOT RUN {
lsm_c_mesh(landscape)
# }
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