landscapemetrics (version 1.4.4)

lsm_l_shape_mn: SHAPE_MN (landscape level)

Description

Mean shape index (Shape metric)

Usage

lsm_l_shape_mn(landscape, directions)
# S3 method for RasterLayer
lsm_l_shape_mn(landscape, directions = 8)
# S3 method for RasterStack
lsm_l_shape_mn(landscape, directions = 8)
# S3 method for RasterBrick
lsm_l_shape_mn(landscape, directions = 8)
# S3 method for stars
lsm_l_shape_mn(landscape, directions = 8)
# S3 method for list
lsm_l_shape_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).

Value

tibble

Details

$$SHAPE_{MN} = mean(SHAPE[patch_{ij}])$$ where \(SHAPE[patch_{ij}]\) is the shape index of each patch.

SHAPE_MN is a 'Shape metric'. The landscape is summarised as the mean of all patches in the landscape. SHAPE 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_SD >= 1

Behaviour

Equals SHAPE_MN = 0 if all patches are squares. Increases, without limit, as the shapes of patches become more complex.

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_shape, mean, lsm_c_shape_mn, lsm_c_shape_sd, lsm_c_shape_cv, lsm_l_shape_sd, lsm_l_shape_cv

Examples

# NOT RUN {
lsm_l_shape_mn(landscape)

# }