db.pa

For the standalone function, see mario.calc_pa().

Calculate the activity-side price index from activity and commodity value-added coefficients.

\[p_a=w_{aa}^{\mathsf{T}}v_a^{\mathsf{T}}\mathbf{1} +w_{ca}^{\mathsf{T}}v_c^{\mathsf{T}}\mathbf{1}\]

Inputs#

va and vc: direct value-added coefficients. Factor rows are summed first. The inverse branch uses waa and wca; the solve branch uses s and u.

Result#

Activity nodes on rows and one column named price index.

Calculation details#

The equivalent solve is \((I-su)^{\mathsf{T}}p_a=v_a^{\mathsf{T}}\mathbf{1}+u^{\mathsf{T}}v_c^{\mathsf{T}}\mathbf{1}\). Both direct value-added sides contribute; pa_ex decomposes this index by contributor.

Example#

import mario

db = mario.load_test("SUT", tech_assumption="IT")
result = db.resolve("pa")
# Dotted access requests the same block:
result = db.pa

Use resolve for scenario selection and recomputation options. Existing targets are reused. The other SUT equations are listed in Resolvable Matrices and Blocks.