# lsm_l_iji: Interspersion and Juxtaposition index (landscape level) In r-spatialecology/landscapemetrics: Landscape Metrics for Categorical Map Patterns

## Description

Interspersion and Juxtaposition index (Aggregation metric)

## Usage

  1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 lsm_l_iji(landscape, verbose) ## S3 method for class 'RasterLayer' lsm_l_iji(landscape, verbose = TRUE) ## S3 method for class 'RasterStack' lsm_l_iji(landscape, verbose = TRUE) ## S3 method for class 'RasterBrick' lsm_l_iji(landscape, verbose = TRUE) ## S3 method for class 'stars' lsm_l_iji(landscape, verbose = TRUE) ## S3 method for class 'list' lsm_l_iji(landscape, verbose = TRUE) 

## Arguments

 landscape Raster* Layer, Stack, Brick or a list of rasterLayers. verbose Print warning message if not sufficient patches are present

## Details

IJI = \frac{- ∑ \limits_{i = 1}^{m} ∑ \limits_{k = i + 1}^{m} \Bigg[ \Bigg( \frac{e_{ik}}{E} \Bigg) ln \Bigg( \frac{e_{ik}}{E} \Bigg) \Bigg]}{ln(0.5[m(m - 1)])} * 100

where e_{ik} are the unique adjacencies of all classes (lower/upper triangle of the adjacency table - without the diagonal), E is the total length of edges in the landscape and m is the number of classes.

IJI is an 'Aggregation metric'. It is a so called "salt and pepper" metric and describes the intermixing of classes (i.e. without considering like adjacencies - the diagonal of the adjacency table). The number of classes to calculate IJI must be >= than 3.

Percent

0 < IJI <= 100

#### Behaviour

Approaches 0 if a class is only adjacent to a single other class and equals 100 when a class is equally adjacent to all other classes.

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

McGarigal, K., & Marks, B. J. 1995. FRAGSTATS: spatial pattern analysis program for quantifying landscape structure. Gen. Tech. Rep. PNW-GTR-351. Portland, OR: US Department of Agriculture, Forest Service, Pacific Northwest Research Station. 122 p, 351.

lsm_c_iji
 1 lsm_l_iji(landscape)