lsm_l_gyrate_mn: GYRATE_MN (landscape level)

Description

Mean radius of gyration (Area and edge metric)

Usage

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

$$GYRATE_{MN} = mean(GYRATE[patch_{ij}])$$ where $GYRATE[patch_{ij}]$ equals the radius of gyration of each patch.

GYRATE_MN is an 'Area and edge metric'. The metric summarises the landscape as the mean of the radius of gyration of all patches in the landscape. GYRATE measures the distance from each cell to the patch centroid and is based on cell center-to-cell center distances. The metrics characterises both the patch area and compactness. The Coefficient of variation is scaled to the mean and comparable among different landscapes.

Units

Meters

Range

GYRATE_MN >= 0

Behaviour

Approaches GYRATE_MN = 0 if every patch is a single cell. Increases, without limit, when only one patch is present.

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

Keitt, T. H., Urban, D. L., & Milne, B. T. 1997. Detecting critical scales in fragmented landscapes. Conservation ecology, 1(1).

Examples

Run this code

# NOT RUN {
lsm_l_gyrate_mn(landscape)

# }

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