landscapemetrics (version 1.4.4)

lsm_c_frac_mn: FRAC_MN (class level)

Description

Mean fractal dimension index (Shape metric)

Usage

lsm_c_frac_mn(landscape, directions)

# S3 method for RasterLayer lsm_c_frac_mn(landscape, directions = 8)

# S3 method for RasterStack lsm_c_frac_mn(landscape, directions = 8)

# S3 method for RasterBrick lsm_c_frac_mn(landscape, directions = 8)

# S3 method for stars lsm_c_frac_mn(landscape, directions = 8)

# S3 method for list lsm_c_frac_mn(landscape, directions = 8)

Arguments

landscape

Raster* Layer, Stack, Brick or a list of rasterLayers.

directions

The number of directions in which patches should be connected: 4 (rook's case) or 8 (queen's case).

Details

$$FRAC_{MN} = mean(FRAC[patch_{ij}])$$ 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.

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.

References

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

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_sd, lsm_c_frac_cv, lsm_l_frac_mn, lsm_l_frac_sd, lsm_l_frac_cv

Examples

Run this code
# NOT RUN {
lsm_c_frac_mn(landscape)

# }

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