Become an expert in R — Interactive courses, Cheat Sheets, certificates and more!
Get Started for Free

lsm_l_frac_sd

FRAC_SD (landscape level)

Description

Standard deviation fractal dimension index (Shape metric)

Usage

lsm_l_frac_sd(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

FRAC_{SD} = sd(FRAC[patch_{ij}])

where FRAC[patch_{ij}] equals the fractal dimension index of each patch.

FRAC_SD is a 'Shape metric'. The metric summarises the landscape as the standard deviation of the fractal dimension index of all patches in the landscape. The fractal dimension index is based on the patch perimeter and the patch area and describes the patch complexity.

Units

None

Range

FRAC_SD>= 0

Behaviour

Equals FRAC_SD = 0 if the fractal dimension index is identical for all patches. Increases, without limit, as the variation of the fractal dimension indices 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

Mandelbrot, B. B. 1977. Fractals: Form, Chance, and Dimension. San Francisco. W. H. Freeman and Company.

See Also

Examples

lsm_l_frac_sd(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

We don't support your browser anymore

Please choose more modern alternatives, such as Google Chrome or Mozilla Firefox.