f.influence.total: Field of Influence (Total)

In ioanalysis: Input Output Analysis

Description

Calculates the total field of influence for the input-output system using f.influence

Usage

f.influence.total(io)

Arguments

io	An InputOutput class object from as.inputoutput

Details

The total field of influence calculates the sum of all first order field of influences:

F^{total} = ∑_i ∑_j F_{i,j}

where

F_{i, j} = L_{.j} L_{i.}

such that L_{.j} is the jth column of the Leontief inverse and L_{i.} is the ith row of the Leontief inverse.

Value

Returns a matrix of the total field of influence.

Note

If the input-output system is large, then the computation can become cumbersome. Consequently, a progress bar will be printed if the algorithm determines it to be relevant.

Author(s)

John J. P. Wade

See Also

f.influence

Examples

data(toy.IO)
class(toy.IO)

fit = f.influence.total(toy.IO)

ioanalysis documentation built on Jan. 13, 2021, 5:16 p.m.