Shape index (Shape metric)
lsm_p_shape(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).
$$SHAPE = \frac{p_{ij}} {\min p_{ij}}$$ where \(p_{ij}\) is the perimeter in terms of cell surfaces and \(\min p_{ij}\) is the minimum perimeter of the patch in terms of cell surfaces.
SHAPE is a 'Shape metric'. It 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 >= 1
Equals SHAPE = 1 for a squared patch and increases, without limit, as the patch shape becomes 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_perim,
lsm_p_area,
lsm_c_shape_mn,
lsm_c_shape_sd,
lsm_c_shape_cv,
lsm_l_shape_mn,
lsm_l_shape_sd,
lsm_l_shape_cv