Table 11 Description of the group of attributes of component 2 (C2, see Fig. 9) for the spatial parametrisation of agent presented in Eq. 14.

\(\mathop{\sum }\limits_{{\rm{i}}=1}^{{\rm{k}}}{{\rm{GDP}}}_{{\rm{i}}}\)

Aggregate GDP

Total aggregate gross domestic product in each 3-attribute characterised agent zone represents the total agent economic output per zone. 1-km² resolution gridded data from Kummu, et al.³⁸ is used.

\(\mathop{\sum }\limits_{{\rm{i}}=1}^{{\rm{k}}}{{\rm{TE}}}_{{\rm{i}}}\)

Aggregate TE

Total aggregate end-use energy demand in each 3-attribute characterised agent zone represents the total agent energy service demand per zone. 1-km² resolution gridded data from Sachs, et al.⁹ is used.

\(\mathop{\sum }\limits_{{\rm{i}}=1}^{{\rm{k}}}{{\rm{SH}}}_{{\rm{i}}}\)

Aggregate SH

Total aggregate space heating demand in each 3-attribute characterised agent zone represents the total agent space heating demand per zone. 1-km² resolution gridded data from Sachs, et al.⁹ is used.

\(\mathop{\sum }\limits_{{\rm{i}}=1}^{{\rm{k}}}{{\rm{WH}}}_{{\rm{i}}}\)

Aggregate WH

Total aggregate water heating demand in each 3-attribute characterised agent zone represents the total agent water heating demand per zone. 1-km² resolution gridded data from Sachs, et al.⁹ is used.

\(\mathop{\sum }\limits_{{\rm{i}}=1}^{{\rm{k}}}{{\rm{SC}}}_{{\rm{i}}}\)

Aggregate SC

Total aggregate space cooling demand in each 3-attribute characterised agent zone represents the total agent space cooling demand per zone. 1-km² resolution gridded data from Sachs, et al.⁹ is used.

\(\mathop{\sum }\limits_{{\rm{i}}=1}^{{\rm{k}}}{{\rm{POP}}}_{{\rm{i}}}\)

Aggregate POP

Total aggregate population in each 3-attribute characterised agent zone represents the total population belonging to the agent zone. 1-km² resolution gridded data from CIESIN³⁹ is used.

\(\frac{{\sum }_{{\rm{i}}=1}^{{\rm{k}}}{{\rm{POP}}}_{{\rm{i}}}}{{\rm{TPOP}}}\)

POP share

In a given region or country, the POP share is calculated dividing the total aggregated population of a 3-attribute characterised agent zone by the total population of the region or country.

\({\overline{{\rm{HDI}}}}_{{\rm{i}}}\)

Median HDI

Median Human Development Index in each 3-attribute characterised agent zone represents the total agent degree of development in terms of level of education, access to health services and income level. 1-km² resolution gridded data from Kummu, et al.³⁸ is used.