Coefficient of variation of related circumscribing circle (Shape metric)
lsm_c_circle_cv(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).
$$CIRCLE_{CV} = cv(CIRCLE[patch_{ij}])$$ where \(CIRCLE[patch_{ij}]\) is the related circumscribing circle of each patch.
CIRCLE_CV is a 'Shape metric' and summarises each class as the Coefficient of variation of the related circumscribing circle of all patches belonging to class i. CIRCLE describes the ratio between the patch area and the smallest circumscribing circle of the patch and characterises the compactness of the patch. CIRCLE_CV describes the differences among patches of the same class i in the landscape. Because it is scaled to the mean, it is easily comparable.
None
CIRCLE_CV >= 0
Equals CIRCLE_CV if the related circumscribing circle is identical for all patches. Increases, without limit, as the variation of related circumscribing circles increases.
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/
Baker, W. L., and Y. Cai. 1992. The r.le programs for multiscale analysis of landscape structure using the GRASS geographical information system. Landscape Ecology 7: 291-302.
Based on C++ code from Project Nayuki (https://www.nayuki.io/page/smallest-enclosing-circle).
lsm_p_circle,
mean,
lsm_c_circle_mn,
lsm_c_circle_sd,
lsm_l_circle_mn,
lsm_l_circle_sd,
lsm_l_circle_cv