Mean shape index (Shape metric)
lsm_c_shape_mn(landscape, directions = 8)tibble
Raster* Layer, Stack, Brick, SpatRaster (terra), stars, or a list of rasterLayers.
The number of directions in which patches should be connected: 4 (rook's case) or 8 (queen's case).
$$SHAPE_{MN} = mean(SHAPE[patch_{ij}])$$ where \(SHAPE[patch_{ij}]\) is the shape index of each patch.
SHAPE_MN is a 'Shape metric'. Each class is summarised as the mean of each patch belonging to class i. SHAPE describes the ratio between the actual perimeter of the patch and the hypothetical minimum perimeter of the patch. The minimum perimeter equals the perimeter if the patch would be maximally compact.
None
SHAPE_SD >= 1
Equals SHAPE_MN = 0 if all patches are squares. Increases, without limit, as the shapes of patches become more complex.
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/
Patton, D. R. 1975. A diversity index for quantifying habitat "edge". Wildl. Soc.Bull. 3:171-173.
lsm_p_shape,
mean,
lsm_c_shape_sd,
lsm_c_shape_cv,
lsm_l_shape_mn,
lsm_l_shape_sd,
lsm_l_shape_cv