Package 'leontief'

Title: Input-Output Analysis
Description: An implementation of the Input-Output model developed by Wassily Leontief that represents the interdependencies between different sectors of a national economy or different regional economies.
Authors: Mauricio Vargas [aut, cre] , Victor Falkenheim [ths], Central Bank of Chile [dtc], University of Bio-Bio [dtc]
Maintainer: Mauricio Vargas <[email protected]>
License: MIT + file LICENSE
Version: 0.3
Built: 2024-11-09 04:22:36 UTC
Source: https://github.com/pachadotdev/leontief

Help Index


Augmented input requirement

Description

Augmented input requirement

Usage

augmented_input_requirement(X, w, c, d)

Arguments

X

transaction matrix

w

wage vector

c

household consumption vector

d

final demand vector

Examples

set.seed(200100)
X <- matrix(rnorm(100), nrow = 10)
w <- rnorm(10)
c <- rnorm(10)
d <- rnorm(10)
augmented_input_requirement(X, w, c, d)

Backward linkage

Description

Backward linkage

Usage

backward_linkage(A)

Arguments

A

input requirement matrix


Employment matrix (2013 data) This matrix contains the employed people by industry and the employment coefficient that is the number of people divided by the total final demand from the wage and demand matrix.

Description

Employment matrix (2013 data) This matrix contains the employed people by industry and the employment coefficient that is the number of people divided by the total final demand from the wage and demand matrix.

Usage

wage_demand_matrix

Format

A matrix with 12 rows and 2 columns

Author(s)

University of Bio-Bio, based on data from the National Bureau of Statistics

References

http://revistas.ubiobio.cl/index.php/HHEE/article/download/3441/3473/


Employment multiplier

Description

Employment multiplier

Usage

employment_multiplier(L, e)

Arguments

L

Leontief inverse matrix

e

employment coefficients vector


Employment number

Description

Employment number

Usage

employment_number(L, e, c)

Arguments

L

Leontief inverse matrix

e

employment coefficients vector

c

change in final demand


Equilibrium output

Description

Equilibrium output

Usage

equilibrium_output(L, d)

Arguments

L

Leontief inverse matrix

d

final demand vector

Examples

set.seed(200100)
L <- matrix(rnorm(100), nrow = 10)
d <- rnorm(10)
equilibrium_output(L, d)

Forward linkage

Description

Forward linkage

Usage

forward_linkage(A)

Arguments

A

input requirement matrix


Income multiplier

Description

Income multiplier

Usage

income_multiplier(L, w)

Arguments

L

Leontief inverse matrix

w

wage vector


Input requirement

Description

Input requirement

Usage

input_requirement(X, d)

Arguments

X

transaction matrix

d

final demand vector

Examples

set.seed(200100)
X <- matrix(rnorm(100), nrow = 10)
d <- rnorm(10)
input_requirement(X, d)

Leontief inverse

Description

Leontief inverse

Usage

leontief_inverse(A)

Arguments

A

input requirement matrix

Examples

set.seed(200100)
A <- matrix(rnorm(100), nrow = 10)
leontief_inverse(A)

Multiplier product matrix

Description

Multiplier product matrix

Usage

multiplier_product_matrix(L)

Arguments

L

Leontief inverse matrix


Output allocation

Description

Output allocation

Usage

output_allocation(X, d)

Arguments

X

transaction matrix

d

final demand vector

Examples

set.seed(200100)
X <- matrix(rnorm(100), nrow = 10)
d <- rnorm(10)
output_allocation(X, d)

Output multiplier

Description

Output multiplier

Usage

output_multiplier(L)

Arguments

L

Leontief inverse matrix

Examples

set.seed(200100)
L <- matrix(rnorm(100), nrow = 10)
output_multiplier(L)

Power of dispersion

Description

Power of dispersion

Usage

power_dispersion(L)

Arguments

L

Leontief inverse matrix


Power of dispersion coefficient of variation

Description

Power of dispersion coefficient of variation

Usage

power_dispersion_cv(L)

Arguments

L

Leontief inverse matrix


Sensitivity of dispersion coefficient of variation

Description

Sensitivity of dispersion coefficient of variation

Usage

sensitivity_dispersion(L)

Arguments

L

Leontief inverse matrix


Sensititivy of dispersion coefficient of variation

Description

Sensititivy of dispersion coefficient of variation

Usage

sensitivity_dispersion_cv(L)

Arguments

L

Leontief inverse matrix


Transaction matrix (2013 data) This matrix contains the production of the chilean economy divided into 12 industries. The measuring unit is CLP million of the year 2013

Description

Transaction matrix (2013 data) This matrix contains the production of the chilean economy divided into 12 industries. The measuring unit is CLP million of the year 2013

Usage

transaction_matrix

Format

A matrix with 12 rows and 12 columns

Author(s)

Central Bank of Chile

References

https://si3.bcentral.cl/estadisticas/Principal1/Excel/CCNN/cdr/excel.html


Wage and demand matrix (2013 data) This matrix contains the wage, intermediate demand and disaggregated final demand of the chilean economy divided into 12 industries. The final demand is given by components (household consumption, government consumption, etc.) and aggregated. The measuring unit is CLP million of the year 2013.

Description

Wage and demand matrix (2013 data) This matrix contains the wage, intermediate demand and disaggregated final demand of the chilean economy divided into 12 industries. The final demand is given by components (household consumption, government consumption, etc.) and aggregated. The measuring unit is CLP million of the year 2013.

Usage

wage_demand_matrix

Format

A matrix with 12 rows and 9 columns

Author(s)

Central Bank of Chile

References

https://si3.bcentral.cl/estadisticas/Principal1/Excel/CCNN/cdr/excel.html