Create the habitat membership matrix, $N$

Usage

create_habitat_matrix(nPatches, membership)

Arguments

nPatches

the number of patches, $n_p$

membership

a vector describing the patch index for each habitat

Value

the habitat membership matrix, denoted $N$ where $\left|N\right|=n_p\times n_q$

Details

Information about the patch location of each habitat is passed as the membership vector, an ordered list of patch locations. If the $i^{th}$ habitat is in the $j^{th}$ patch, then $N_{j,i}=1.$ Otherwise, $N_{j,i}=0.$

Since $N$ is a matrix, it is readily used for computation. Let:

• $n_q=$ nHabitats, the number of habitats;

• $n_p=$ nPatches, the number of patches.

If $w$ is any vector describing a quantity in habitats (i.e., $\left|w\right|=n_q$), then $$W=N\cdot w$$ is a vector that has summed $w$ by patch, and $\left|W\right|=n_p$.

See also

Examples

create_habitat_matrix(3, c(1,1,2,2,2))
#>      [,1] [,2] [,3] [,4] [,5]
#> [1,]    1    1    0    0    0
#> [2,]    0    0    1    1    1
#> [3,]    0    0    0    0    0