Landscape shape index (Aggregation metric)
lsm_c_lsi(landscape)tibble
Raster* Layer, Stack, Brick, SpatRaster (terra), stars, or a list of rasterLayers.
$$LSI = \frac{e_{i}} {\min e_{i}}$$ where \(e_{i}\) is the total edge length in cell surfaces and \(\min e_{i}\) is the minimum total edge length in cell surfaces.
LSI is an 'Aggregation metric'. It is the ratio between the actual edge length of class i and the hypothetical minimum edge length of class i. The minimum edge length equals the edge length if class i would be maximally aggregated.
None
LSI >= 1
Equals LSI = 1 when only one squared patch is present or all patches are maximally aggregated. Increases, without limit, as the length of the actual edges increases, i.e. the patches become less compact.
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,
lsm_l_lsi