domflows: Dominant Flows Selection
In flows: Flow Selection and Analysis

Description Usage Arguments Details Value References See Also Examples

Dominant flows selection.

1	domflows(mat, w, k)

`mat`	A square matrix of flows.
`w`	A vector of units weigths (sum of incoming flows, sum of outgoing flows...).
`k`	A threshold (see 'Details').

This function selects which flow (fij or fji) must be kept. If the ratio weight of destination (wj) / weight of origin (wi) is greater than k, then fij is selected and fji is not. This function can perform the second criterion of the Nystuen & Dacey's dominants flows analysis.
As the output is a boolean matrix, use element-wise multiplication to get flows intensity.

A boolean matrix of selected flows.

J. Nystuen & M. Dacey, 1961, "A Graph Theory Interpretation of Nodal Regions.", Papers and Proceedings of the Regional Science Association, 7:29-42.bt

firstflows, firstflowsg, plotDomFlows, plotMapDomFlows

# Import data
data(nav)
myflows <- prepflows(mat = nav, i = "i", j = "j", fij = "fij")

# Remove the matrix diagonal
diag(myflows) <- 0

# Select the dominant flows (incoming flows criterion)
flowSel <- domflows(mat = myflows, w = colSums(myflows), k = 1)
statmat(mat = myflows * flowSel, output = "none")