Mean fractal dimension index (Shape metric)
lsm_c_frac_mn(landscape, directions = 8)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).
$$FRAC_{MN} = mean(FRAC[patch_{ij}])$$ where \(FRAC[patch_{ij}]\) equals the fractal dimension index of each patch.
FRAC_MN is a 'Shape metric'. The metric summarises each class as the mean 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.
None
FRAC_MN > 0
Approaches FRAC_MN = 1 if all patches are squared and FRAC_MN = 2 if all patches are irregular.
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/
Mandelbrot, B. B. 1977. Fractals: Form, Chance, and Dimension. San Francisco. W. H. Freeman and Company.
lsm_p_frac,
mean,
lsm_c_frac_sd,
lsm_c_frac_cv,
lsm_l_frac_mn,
lsm_l_frac_sd,
lsm_l_frac_cv