laplacianConnMat {ConnMatTools}

Uniform Laplacian connectivity matrix

Description

This function generates a connectivity matrix that is governed by a Laplacian distribution: D[i,j]=exp(abs(x[i]-y[i]-shift)/disp.dist)/2/disp.dist

Usage

laplacianConnMat(num.sites, disp.dist, shift = 0, boundaries = "nothing")

Arguments

num.sites

number of sites. Sites are assumed to be aligned on a linear coastline.

disp.dist

dispersal distance in "site" units (i.e., 1 site = 1 unit of distance)

shift

advection distance in "site" units. Defaults to 0.

boundaries

string indicating what to do at boundaries. Defaults to "nothing". Possible values include: "nothing", "conservative" and "circular"

Details

The boundary argument can have the following different values: "nothing" meaning do nothing special with boundaries; "conservative" meaning force columns of matrix to sum to 1; and "circular" meaning wrap edges.

Value

A square connectivity matrix

Author(s)

David M. Kaplan [e-mail]

References

Kaplan, D. M., Botsford, L. W., and Jorgensen, S. 2006. Dispersal per recruit: An efficient method for assessing sustainability in marine reserve networks. Ecological Applications, 16: 2248-2263.

See Also

See also DispersalPerRecruitModel

Examples

library(ConnMatTools)
cm <- laplacianConnMat(100,10,15,"circular")
image(cm)