Coefficient of variation fractal dimension index (Shape metric)
lsm_l_frac_cv(landscape, directions = 8)tibble
A categorical raster object: SpatRaster; Raster* Layer, Stack, Brick; stars or a list of SpatRasters.
The number of directions in which patches should be connected: 4 (rook's case) or 8 (queen's case).
$$FRAC_{CV} = cv(FRAC[patch_{ij}])$$ where \(FRAC[patch_{ij}]\) equals the fractal dimension index of each patch.
FRAC_CV is a 'Shape metric'. The metric summarises the landscape as the Coefficient of variation of the fractal dimension index of all patches in the landscape. The fractal dimension index is based on the patch perimeter and the patch area and describes the patch complexity. The Coefficient of variation is scaled to the mean and comparable among different landscapes.
Because the metric is based on distances or areas please make sure your data
is valid using check_landscape.
None
FRAC_CV >= 0
Equals FRAC_CV = 0 if the fractal dimension index is identical for all patches. Increases, without limit, as the variation of the fractal dimension indices increases.
McGarigal K., SA Cushman, and E Ene. 2023. FRAGSTATS v4: Spatial Pattern Analysis Program for Categorical Maps. Computer software program produced by the authors; available at the following web site: https://www.fragstats.org
Mandelbrot, B. B. 1977. Fractals: Form, Chance, and Dimension. San Francisco. W. H. Freeman and Company.
lsm_p_frac,
lsm_c_frac_mn,
lsm_c_frac_sd,
lsm_c_frac_cv,
lsm_l_frac_mn,
lsm_l_frac_sd,
landscape <- terra::rast(landscapemetrics::landscape)
lsm_l_frac_cv(landscape)
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