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Create output multipliers

Source: R/output_multiplier_create.R
output_multiplier_create.Rd

Compute output multipliers from a Leontief inverse matrix.

Usage

output_multiplier_create(input_coefficient_matrix)

Arguments

input_coefficient_matrix

A technology–coefficient matrix as returned by input_coefficient_matrix_create().

Value

A one-row data.frame (or tibble) with:

  • The first column a label "output_multipliers".

  • Remaining columns the multipliers for each industry.

Details

The output multipliers are defined as the column sums of the Leontief inverse \((I - A)^{-1}\), where \(A\) is the input coefficient matrix. They measure the total direct and indirect output generated in each industry per unit increase in final demand.

See Eurostat (2008), Manual of Supply, Use and Input–Output Tables, p. 500; UN (2018), Handbook on Supply and Use Tables and Input–Output Tables with Extensions and Applications, §15.35.

See also

Other multiplier functions: input_multipliers_create(), multiplier_create()

Examples

de_input_coeff <- input_coefficient_matrix_create(
  iotable_get(),
  digits = 4
)

output_multiplier_create(de_input_coeff)
#> # A tibble: 1 × 7
#>   iotables_row       agriculture_group industry_group construction trade_group
#>   <chr>                          <dbl>          <dbl>        <dbl>       <dbl>
#> 1 output_multipliers              1.70           1.84         1.81        1.60
#> # ℹ 2 more variables: business_services_group <dbl>, other_services_group <dbl>