TABLE 4.

Metadata for the spatial functional linear model (FLM), XGBoost, ANN, and CNN models: t = 1, 2, …, 12 corresponds to the index for the month for which the values are quoted; SHAP stands for Shapley value and LIME for the LIME value.

Model	Input	Output	Explainability approach
Spatial FLM	SSTAt−3, SMt−3	SMt	${\widehat{\beta }}_t\left(s\right)={\sum }_k{\gamma }_k\left(t\right){\varphi }_k\left(s,t\right),\widehat{M{R}_t}\left(c\right)={\widehat{e}}_{\text{switch}}\left(f\right)/{\widehat{e}}_{\text{orig}}\left(f\right)$
XGBoost	SSTAt−3, SMt−3	SMt	SHAPt(PCA75)
ANN	SSTAt−3	SMt	${\overline{MSE}}_t\left(s\right)={〈A{E}_{pert}/S{E}_{unpert}〉}_l$
CNN	SSTAt−3	SMt	〈SHAPt〉l(s), 〈LIMEt〉l(s)
CNN	SSTAt−3, SMt−3	SMt	〈SHAPt〉l(s), 〈SHAPt〉l(l)