Description

Fractal dimension index (Shape metric)

Usage

Arguments

Details

FRAC = \frac{2 * \ln * (0.25 * p_{ij})} {\ln a_{ij}}

where p_{ij} is the perimeter in meters and a_{ij} is the area in square meters

FRAC is a 'Shape metric'. The index is based on the patch perimeter and the patch area and describes the patch complexity. Because it is standardized, it is scale independent, meaning that increasing the patch size while not changing the patch form will not change the ratio.

Units

None

Range

1 <= FRAC <= 2

Behaviour

Approaches FRAC = 1 for a squared patch shape form and FRAC = 2 for a irregular patch shape.

Value

tibble

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_area, lsm_p_perim,
lsm_c_frac_mn, lsm_c_frac_sd, lsm_c_frac_cv,
lsm_l_frac_mn, lsm_l_frac_sd, lsm_l_frac_cv

Examples