landscapemetrics (version 1.4.4)

lsm_l_circle_mn: CIRCLE_MN (landscape level)

Description

Mean of related circumscribing circle (Shape metric)

Usage

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

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

CIRCLE_MN is a 'Shape metric' and summarises the landscape as the mean 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.

Units

None

Range

CIRCLE_MN > 0

Behaviour

Approaches CIRCLE_MN = 0 if the related circumscribing circle of all patches is small. Increases, without limit, as the related circumscribing circles increase.

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_sd, lsm_l_circle_cv

Examples

# NOT RUN {
lsm_l_circle_mn(landscape)

# }