Patch Cohesion Index (Aggregation metric)
Details
$$COHESION = 1 - (\frac{\sum \limits_{i = 1}^{m} \sum \limits_{j = 1}^{n} p_{ij}} {\sum \limits_{i = 1}^{m} \sum \limits_{j = 1}^{n} p_{ij} \sqrt{a_{ij}}}) * (1 - \frac{1} {\sqrt{Z}}) ^ {-1} * 100$$ where \(p_{ij}\) is the perimeter in meters, \(a_{ij}\) is the area in square meters and \(Z\) is the number of cells.
COHESION is an 'Aggregation metric'.
Because the metric is based on distances or areas please make sure your data
is valid using check_landscape
.
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
Schumaker, N. H. 1996. Using landscape indices to predict habitat connectivity. Ecology, 77(4), 1210-1225.
See also
lsm_p_perim
,
lsm_p_area
, lsm_l_cohesion