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Pathway CO2 emissions (t)
=========================

*indexed by: asset, node, technology, test_case*

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### Description

This KPI represents the total volume of CO2 emissions emitted during the entire pathway. The emissions considered are 
those due to energy production and can be positive in the case of an asset emitting atmospheric CO2, or negative in 
case of an asset consuming atmospheric CO2.

For a given pathway, it is calculated as the sum over its pathway step, of the CO2 emissions of each pathway step 
multiplied by their duration.

### Calculation

All the equations below are valid for any realization and are therefore implicitly indexed by test case.

Let be $x_{a, n}$ the value returned by this KPI for a given asset $a$ and node $n$.
We can then express $x_{a, n}$ as :

$$
x_{a, n} = \sum_{pathway\_step \ p} ce_{a, n, p} * duration_{p}
$$

With:

- $ce_{a, n, p}$ : the CO2 emissions of asset $a$ at node $n$ such as computed by [CO2 emissions KPI](../scalar_kpis/co2_emissions.md) for the pathway step $p$
- $duration_{p}$ : The duration of pathway steps (in years) of considered pathway step $p$


CO2 emissions due the reserve activation (balancing) are not included in this KPI.

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