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lsm_c_circle_cv

CIRCLE_CV (Class level)

Description

Coefficient of variation of related circumscribing circle (Shape metric)

Usage

lsm_c_circle_cv(landscape, directions = 8)

Arguments

landscape

Raster* Layer, Stack, Brick, SpatRaster (terra), stars, 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_{CV} = cv(CIRCLE[patch_{ij}])

where CIRCLE[patch_{ij}] is the related circumscribing circle of each patch.

CIRCLE_CV is a 'Shape metric' and summarises each class as the Coefficient of variation of the related circumscribing circle of all patches belonging to class i. CIRCLE describes the ratio between the patch area and the smallest circumscribing circle of the patch and characterises the compactness of the patch. CIRCLE_CV describes the differences among patches of the same class i in the landscape. Because it is scaled to the mean, it is easily comparable.

Units

None

Range

CIRCLE_CV >= 0

Behaviour

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

Value

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.

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

See Also

Examples

lsm_c_circle_cv(landscape)
landscapemetrics

Landscape Metrics for Categorical Map Patterns

v1.5.2
GPL-3
Authors
Maximillian H.K. Hesselbarth [aut, cre] (<https://orcid.org/0000-0003-1125-9918>), Marco Sciaini [aut] (<https://orcid.org/0000-0002-3042-5435>), Jakub Nowosad [aut] (<https://orcid.org/0000-0002-1057-3721>), Sebastian Hanss [aut] (<https://orcid.org/0000-0002-3990-4897>), Laura J. Graham [ctb] (Input on package structure), Jeffrey Hollister [ctb] (Input on package structure), Kimberly A. With [ctb] (Input on package structure), Florian Privé [ctb] (Original author of underlying C++ code for get_nearestneighbour() function), Project Nayuki [ctb] (Original author of underlying C++ code for get_circumscribingcircle and lsm_p_circle), Matt Strimas-Mackey [ctb] (Bugfix in sample_metrics())
Initial release

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