Standard deviation of related circumscribing circle (Shape metric)
lsm_c_circle_sd(landscape, directions)# S3 method for RasterLayer
lsm_c_circle_sd(landscape, directions = 8)
# S3 method for RasterStack
lsm_c_circle_sd(landscape, directions = 8)
# S3 method for RasterBrick
lsm_c_circle_sd(landscape, directions = 8)
# S3 method for stars
lsm_c_circle_sd(landscape, directions = 8)
# S3 method for list
lsm_c_circle_sd(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
$$CIRCLE_{SD} = sd(CIRCLE[patch_{ij}])$$ where \(CIRCLE[patch_{ij}]\) is the related circumscribing circle of each patch.
CIRCLE_SD is a 'Shape metric' and summarises each class as the standard deviation 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. The metric describes the differences among patches of the same class i in the landscape.
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
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_cv,
lsm_l_circle_mn,
lsm_l_circle_sd,
lsm_l_circle_cv
# NOT RUN {
lsm_c_circle_sd(landscape)
# }
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