Difference between revisions of "Environmental Impact"

From Open Risk Manual
(Formula)
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== Approach ==
 
== Approach ==
Each MRIO’s environmental CBA result can be understood simplistically as a product of three variables: a flow matrix Z describing the economic structure, an environmental stressors matrix (or ‘satellite account’) F describing the per-sector direct environmental impacts
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Each MRIO's environmental CBA result can be understood simplistically as a product of three variables:  
of production, and a consumption bundle Y describing the composition of final consumption. The total CBA footprint C is a function of these three variables: C = f (F, Z, Y).
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* a flow matrix Z describing the economic structure
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* an environmental stressors matrix (or ‘satellite account’) F describing the per-sector direct environmental impacts of production, and
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* a consumption bundle Y describing the composition of final consumption.  
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The total CBA footprint C is a function of these three variables: <math>C = f (F, Z, Y)</math>.
  
 
In addition to the output effects, implications can be derived for the value-added components and the satellite systems. Various production-induced effects can be calculated by multiplying with the coefficients s
 
In addition to the output effects, implications can be derived for the value-added components and the satellite systems. Various production-induced effects can be calculated by multiplying with the coefficients s
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where
 
where
  
* <math>s_{j}</math> Vector of specific satellite account
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* <math>s_{j}</math> Vector of specific satellite accounts
 
* <math>bs_{ij}</math> Vector of coefficients for satellites.
 
* <math>bs_{ij}</math> Vector of coefficients for satellites.
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== Further Resources ==
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* [https://www.openriskacademy.com/mod/page/view.php?id=800 Crash Course on Input-Output Model Mathematics]
  
 
== References ==
 
== References ==

Revision as of 13:19, 18 September 2023

Definition

Environmental Impact (or Environmental Stressor) in the context of an Input-Output Model denotes an extension of the basic IO model via a system of satellite accounts that provides insights into the environmental footprint of economic activity

Approach

Each MRIO's environmental CBA result can be understood simplistically as a product of three variables:

  • a flow matrix Z describing the economic structure
  • an environmental stressors matrix (or ‘satellite account’) F describing the per-sector direct environmental impacts of production, and
  • a consumption bundle Y describing the composition of final consumption.

The total CBA footprint C is a function of these three variables: C = f (F, Z, Y).

In addition to the output effects, implications can be derived for the value-added components and the satellite systems. Various production-induced effects can be calculated by multiplying with the coefficients s

Formula


\begin{align}
s_{j} & = b_{j} \times (I - A)^{-1} \times y
\end{align}

where

  • s_{j} Vector of specific satellite accounts
  • bs_{ij} Vector of coefficients for satellites.

Further Resources

References