The current pymrio has all relevant matrices related the Leontief attribution model implemented. This can be used to calculate the factors of production that are used as input to a sector or product, covering the upstream indirect inputs, also referred to as upstream scope 3. The scope 3 of a sector also includes a downstream component, which consists of the factors of production associated with the sector's input to other sectors. An attribution methodology that covers this so-called downstream scope 3 is the Ghosh model. Mathematically, there are many similarities between the Ghosh and Leontief models, and it thus makes sense to implement Ghosh in analogy with Leontief.
The proposal is to
implement the equivalent of A for Ghosh (often referred to A* in literature)
implement the Ghosh inverse (often referred to G in literature)
implement the downstream scope 3 multiplier, M{down}, such the sum of the M+M{down} is the full scope multiplier, with M the existing multiplier in pymrio that covers scope 1,2&3 upstream.
a short addition to the pymrio background page that introduces the Ghosh model
tests that test the functionality of the added functions
The current pymrio has all relevant matrices related the Leontief attribution model implemented. This can be used to calculate the factors of production that are used as input to a sector or product, covering the upstream indirect inputs, also referred to as upstream scope 3. The scope 3 of a sector also includes a downstream component, which consists of the factors of production associated with the sector's input to other sectors. An attribution methodology that covers this so-called downstream scope 3 is the Ghosh model. Mathematically, there are many similarities between the Ghosh and Leontief models, and it thus makes sense to implement Ghosh in analogy with Leontief.
The proposal is to