output.decomposition: Decomposition of Output Changes

In ioanalysis: Input Output Analysis

Description

Performs decomposition of output changes given two periods of data. You can decompose by origin over internal, external, or total and you can additionally decompose by changes due to final demand, technical change, or total. This follows the technique of Sonis et al (1996).

Usage

output.decomposition(io1, io2, origin = "all", cause = "all")

Arguments

io1	The first period InputOutput class object from as.inputoutput
io2	An InputOutput class object from as.inputoutput
origin	Character. Choosing to decompose changes to the sectors due to internal changes, external changes, and/or total
cause	Character. Choosing to decompose changes to the sectors due to changes in fianldemand (f), technical changes leontief (L), or total changes

Details

A superscript of f indicates changes due to final demand, l indicates changes due to the Leontief inverse, and no superscript indicates total. A subscript of s indicates changes in output originating internally of the sectors, n indicates externally, and no subscript indicates total. L is the Leontief inverse and f is aggregated final demand. Analysis is over changes from period 1 to period 2. The values are calculated as follows:

Originating: Total

Δ X^f = L_1Δ f

Δ X^l = Δ L f_1

Δ X = Δ L Δ f

Originating: Internal

Δ X_s^f = diag(L_1)Δ f

Δ X_s^l = diag(Δ L) f_1

Δ X_s = diag(Δ L) Δ f

Originating: External

Δ X_n^f = Δ X^f - Δ X_s^f

Δ X_n^l = Δ X^l - Δ X_s^l

Δ X_n = Δ X - Δ x_s

Value

The function always outputs a named row of some variant of delta.X. A prefix indicates the changes origin where total is blank. A suffix indicates the cause of the change where total is also blank.

int	A prefix for internal
ext	A prefix for external
f	A suffix for final demand
L	A suffix for technical or Leontief

Author(s)

John J. P. Wade, Ignacio Sarmiento-Barbieri

References

Nazara, Suahasil & Guo, Dong & Hewings, Geoffrey J.D., & Dridi, Chokri, 2003. PyIO. Input-Output Analysis with Python. REAL Discussion Paper 03-t-23. University of Illinois at Urbana-Champaign. (http://www.real.illinois.edu/d-paper/03/03-t-23.pdf)

Sonis, Michael & Geoffrey JD Hewings, & Jiemin Guo. Sources of structural change in input-output systems: a field of influence approach. Economic Systems Research 8, no. 1 (1996): 15-32.

See Also

as.inputoutput

Examples

data(toy.IO)
data(toy.IO2)
class(toy.IO)
class(toy.IO) == class(toy.IO2)

OD1 <- output.decomposition(toy.IO, toy.IO2)
OD1$Hogwarts

OD2 <- output.decomposition(toy.IO, toy.IO2, origin = "external", 
                            cause = c("finaldemand","leontief"))
OD2

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