# lsm_c_ndca: NDCA (class level) In r-spatialecology/landscapemetrics: Landscape Metrics for Categorical Map Patterns

## Description

Number of disjunct core areas (Core area metric)

## Usage

 ``` 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21``` ```lsm_c_ndca(landscape, directions, consider_boundary, edge_depth) ## S3 method for class 'RasterLayer' lsm_c_ndca(landscape, directions = 8, consider_boundary = FALSE, edge_depth = 1) ## S3 method for class 'RasterStack' lsm_c_ndca(landscape, directions = 8, consider_boundary = FALSE, edge_depth = 1) ## S3 method for class 'RasterBrick' lsm_c_ndca(landscape, directions = 8, consider_boundary = FALSE, edge_depth = 1) ## S3 method for class 'stars' lsm_c_ndca(landscape, directions = 8, consider_boundary = FALSE, edge_depth = 1) ## S3 method for class 'list' lsm_c_ndca(landscape, directions = 8, consider_boundary = FALSE, edge_depth = 1) ```

## 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). `consider_boundary` Logical if cells that only neighbour the landscape boundary should be considered as core `edge_depth` Distance (in cells) a cell has the be away from the patch edge to be considered as core cell

## Details

NDCA = ∑ \limits_{j = 1}^{n} n_{ij}^{core}

where n_{ij}^{core} is the number of disjunct core areas.

NDCA is a 'Core area metric'. The metric summarises class i as the sum of all patches belonging to class i. A cell is defined as core if the cell has no neighbour with a different value than itself (rook's case). NDCA counts the disjunct core areas, whereby a core area is a 'patch within the patch' containing only core cells. It describes patch area and shape simultaneously (more core area when the patch is large, however, the shape must allow disjunct core areas). Thereby, a compact shape (e.g. a square) will contain less disjunct core areas than a more irregular patch.

None

NDCA >= 0

#### Behaviour

NDCA = 0 when TCA = 0, i.e. every cell in patches of class i is an edge. NDCA increases, with out limit, as core area increases and patch shapes allow disjunct core areas (i.e. patch shapes become rather complex).

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

`lsm_c_tca`,
`lsm_p_ncore`, `lsm_l_ndca`
 `1` ```lsm_c_ndca(landscape) ```