# lsm_p_circle: CIRCLE (patch level) In r-spatialecology/landscapemetrics: Landscape Metrics for Categorical Map Patterns

## Description

Related Circumscribing Circle (Shape metric)

## Usage

  1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 lsm_p_circle(landscape, directions) ## S3 method for class 'RasterLayer' lsm_p_circle(landscape, directions = 8) ## S3 method for class 'RasterStack' lsm_p_circle(landscape, directions = 8) ## S3 method for class 'RasterBrick' lsm_p_circle(landscape, directions = 8) ## S3 method for class 'stars' lsm_p_circle(landscape, directions = 8) ## S3 method for class 'list' lsm_p_circle(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).

## Details

CIRCLE = 1 - (\frac{a_{ij}} {a_{ij}^{circle}})

where a_{ij} is the area in square meters and a_{ij}^{circle} the area of the smallest circumscribing circle.

CIRCLE is a 'Shape metric'. The metric is the ratio between the patch area and the smallest circumscribing circle of the patch. The diameter of the smallest circumscribing circle is the 'diameter' of the patch connecting the opposing corner points of the two cells that are the furthest away from each other. The metric characterises the compactness of the patch and is comparable among patches with different area.

None

0 <= CIRCLE < 1

#### Behaviour

CIRCLE = 0 for a circular patch and approaches CIRCLE = 1 for a linear patch.

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

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.

## See Also

lsm_p_area,
lsm_c_circle_mn, lsm_c_circle_sd, lsm_c_circle_cv,
lsm_l_circle_mn, lsm_l_circle_sd, lsm_l_circle_cv

## Examples

 1 lsm_p_circle(landscape) 

r-spatialecology/landscapemetrics documentation built on May 20, 2019, noon