lsm_l_frac_mn {landscapemetrics} | R Documentation |
FRAC_MN (landscape level)
Description
Mean fractal dimension index (Shape metric)
Usage
lsm_l_frac_mn(landscape, directions = 8)
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
where equals the fractal dimension index of each patch.
FRAC_MN is a 'Shape metric'. The metric summarises the landscape as the mean 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
.
Units
None
Range
FRAC_MN > 0
Behaviour
Approaches FRAC_MN = 1 if all patches are squared and FRAC_MN = 2 if all patches are irregular.
Value
tibble
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.
See Also
lsm_p_frac
,
mean
,
lsm_c_frac_mn
,
lsm_c_frac_sd
,
lsm_c_frac_cv
,
lsm_l_frac_sd
,
lsm_l_frac_cv
Examples
landscape <- terra::rast(landscapemetrics::landscape)
lsm_l_frac_mn(landscape)