Coefficient of variation fractal dimension index (Shape metric)
Usage
lsm_c_frac_cv(landscape, directions = 8)
Value
tibble
Arguments
landscape
A categorical raster object: SpatRaster; Raster* Layer, Stack, Brick; stars or a list of SpatRasters.
directions
The number of directions in which patches should be
connected: 4 (rook's case) or 8 (queen's case).
Details
$$FRAC_{CV} = cv(FRAC[patch_{ij}])$$
where \(FRAC[patch_{ij}]\) equals the fractal dimension index of each patch.
FRAC_CV is a 'Shape metric'. The metric summarises each class
as the Coefficient of variation of the fractal dimension index of all patches
belonging to class i. 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.
Units
None
Range
FRAC_CV >= 0
Behaviour
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.
References
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.