db.c

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

Calculate the commodity-by-activity product-mix coefficients for product-based technology.

\[c=S^{\mathsf{T}}\operatorname{diag}(X_a)^{-1},\qquad c=s^{-1}\]

Inputs#

S: supply flows, with activity rows and commodity columns.

Xa: activity production, indexed like S.index. Alternatively, the resolver can invert an already available s.

Result#

Commodity nodes on rows and activity nodes on columns. Each column describes the commodity output mix per unit of activity production.

Calculation details#

c is defined only under PT (product-based). Requesting it under IT does not produce a product-mix result. Zero activity production has inverse zero in the flow-based branch. The branch that inverts s uses the Moore-Penrose pseudoinverse if s is singular.

Example#

import mario

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

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