Description

Shape index (Shape metric)

Usage

Arguments

Details

SHAPE = \frac{p_{ij}} {\min p_{ij}}

where p_{ij} is the perimeter in terms of cell surfaces and \min p_{ij} is the minimum perimeter of the patch in terms of cell surfaces.

SHAPE is a 'Shape metric'. It describes the ratio between the actual perimeter of the patch and the hypothetical minimum perimeter of the patch. The minimum perimeter equals the perimeter if the patch would be maximally compact.

Units

None

Range

SHAPE >= 1

Behaviour

Equals SHAPE = 1 for a squared patch and increases, without limit, as the patch shape becomes more complex.

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

Patton, D. R. 1975. A diversity index for quantifying habitat "edge". Wildl. Soc.Bull. 3:171-173.

See Also

lsm_p_perim, lsm_p_area,
lsm_c_shape_mn, lsm_c_shape_sd, lsm_c_shape_cv,
lsm_l_shape_mn, lsm_l_shape_sd, lsm_l_shape_cv

Examples