CONTIG_MN (landscape level)

Mean of Contiguity index (Shape metric)

Usage

lsm_l_contig_mn(landscape, directions = 8)

Arguments

landscape: A categorical raster object: SpatRaster; Raster* Layer, Stack, Brick; stars or a list of SpatRasters.
directions: The number of directions in which patches should be connected: 4 (rook's case) or 8 (queen's case).

Value

tibble

Details

$$CONTIG_{MN} = mean(CONTIG[patch_{i}])$$

where $CONTIG[patch_{ij}]$ is the contiguity of each patch.

CONTIG_MN is a 'Shape metric'. It summarises the landscape as the mean of all patches in the landscape. CONTIG_MN asses the spatial connectedness (contiguity) of cells in patches. The metric coerces patch values to a value of 1 and the background to NA. A nine cell focal filter matrix:

filter_matrix <- matrix(c(1, 2, 1,
                          2, 1, 2,
                          1, 2, 1), 3, 3, byrow = T)

... is then used to weight orthogonally contiguous pixels more heavily than diagonally contiguous pixels. Therefore, larger and more connections between patch cells in the rookie case result in larger contiguity index values.

Units

None

Range

0 >= CONTIG_MN <= 1

Behaviour

CONTIG equals the mean of the contiguity index on landscape level for all patches.

References

McGarigal K., SA Cushman, and E Ene. 2023. FRAGSTATS v4: Spatial Pattern Analysis Program for Categorical Maps. Computer software program produced by the authors; available at the following web site: https://www.fragstats.org

LaGro, J. 1991. Assessing patch shape in landscape mosaics. Photogrammetric Engineering and Remote Sensing, 57(3), 285-293

Examples

landscape <- terra::rast(landscapemetrics::landscape)
lsm_l_contig_mn(landscape)
#> # A tibble: 1 × 6
#>   layer level     class    id metric    value
#>   <int> <chr>     <int> <int> <chr>     <dbl>
#> 1     1 landscape    NA    NA contig_mn 0.425