landscapemetrics (version 1.4.4)

lsm_l_circle_sd: CIRCLE_SD (landscape level)

Description

Standard deviation of related circumscribing circle (Shape metric)

Usage

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

$$CIRCLE_{SD} = sd(CIRCLE[patch_{ij}])$$ where \(CIRCLE[patch_{ij}]\) is the related circumscribing circle of each patch.

CIRCLE_SD is a 'Shape metric' and summarises the landscape as the standard deviation of the related circumscribing circle of all patches in the landscape. CIRCLE describes the ratio between the patch area and the smallest circumscribing circle of the patch and characterises the compactness of the patch. The metric describes the differences among all patches of the landscape.

Units

None

Range

CIRCLE_SD >= 0

Behaviour

Equals CIRCLE_SD if the related circumscribing circle is identical for all patches. Increases, without limit, as the variation of related circumscribing circles increases.

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

Baker, W. L., and Y. Cai. 1992. The r.le programs for multiscale analysis of landscape structure using the GRASS geographical information system. Landscape Ecology 7: 291-302.

Based on C++ code from Project Nayuki (https://www.nayuki.io/page/smallest-enclosing-circle).

See Also

lsm_p_circle, mean, lsm_c_circle_mn, lsm_c_circle_sd, lsm_c_circle_cv, lsm_l_circle_mn, lsm_l_circle_cv

Examples

# NOT RUN {
lsm_l_circle_sd(landscape)

# }