Calculation of \(\chi\)

\(\chi\) can be calculated in three alternative ways from the final energy demand:

a) \(\chi_{e, ss, a} = \frac{1}{n_{\rm{y}}} \sum_y \frac{E_{e,ss,a,y} / \sum_e E_{e,ss,a,y}}{E_{e,ss,y} / \sum_e E_{e,ss,y}} \)

b) \(\chi_{e, ss, a} = \frac{1}{n_{\rm{y}}} \sum_y \frac{E_{e,ss,a,y}}{E_{e,ss,y}} \)

c) \(\chi_{e, ss, a, y} = \frac{E_{e,ss,a,y}}{E_{e,ss,y}} \)

For the calculation of \(\lambda_{e, ss, a, y} \) the difference between a) and b) is not important/canceled out.

\(E_{e,ss,a,y}\): Final energy demand for given energy carrier, sub sector, improvement action, and year

\(n_{\rm{y}}\): Number of years

\(E_{e,ss,y} =\sum_a E_{e,ss,a,y} \)