Create the Residency Matrix

Usage

create_residence_matrix(nPatches, residence)

Arguments

nPatches

the number of patches

residence

a vector describing the patch index for each habitat

Value

the residence matrix, denoted $J$ where $\left|J\right|=n_p\times n_h$

Details

Information about residence in a patch location for each stratum is passed as the residence vector, an ordered list of patch locations. If the $i^{th}$ stratum lives in the $j^{th}$ patch, then $J_{j,i}=1.$ Otherwise, $J_{j,i}=0.$

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

• $n_h=$ nStrata, the number of population strata;

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

If $w$ is any vector describing a quantity in strata (i.e., $\left|w\right|=n_h$), then $$W=J\cdot w$$ is a vector that has summed $w$ by residency for the strata, and $\left|W\right|=n_p$.

See also