Table 6 Definition of spatial agents with a single spatial characteristic.

From: MUSE-RASA captures human dimension in climate-energy-economic models via global geoAI-ML agent datasets

Definition

Equations

 

Spatial agent SpA with characteristic H, chH, of all zones 1

\(Sp{A}_{c{h}_{H},1}=\mathop{\bigcup }\limits_{i=1}^{m}{Z}_{c{h}_{H},{1}_{i}}={Z}_{c{h}_{H},{1}_{1}}\cup \ldots \cup {Z}_{c{h}_{H},{1}_{m}}\)

(Eq. 4)

Spatial agent SpA with one characteristic ch1 in any zone n of a region or country

\(Sp{A}_{c{h}_{1},n}=\mathop{\bigcup }\limits_{i=1}^{n}Sp{A}_{c{h}_{1},i}=Sp{A}_{c{h}_{1},{1}_{m}}\cup \ldots \cup Sp{A}_{c{h}_{1},{n}_{m}}\)

(Eq. 5)

Spatial agent SpA with characteristic H, chH, in any zone n of a region or country

\(Sp{A}_{c{h}_{H},n}=\mathop{\bigcup }\limits_{i=1}^{n}Sp{A}_{c{h}_{H},i}=Sp{A}_{c{h}_{H},{1}_{m}}\cup \ldots \cup Sp{A}_{c{h}_{H},{n}_{m}}\)

(Eq. 6)

  1. Spatial agent \({SpA}_{{ch}_{H},1}\) refers to the agent with the attribute H, chH defined within the multi-polygon n.