Table 2.

Different space-time scenarios (indexed by the “ST Sce.” columns) under which we will generate data and fit the spatio-temporal models. “T Sce.” refers to the two possible SIR scenarios, namely EP and FC, and the ACNB one—all for temporal data generation. “Data Gen.” refers to the spatio-temporal models, as in Sect. 3.2, when generating ${\zeta }_i(\mathbf{u};t_k)$. Furthermore, “Model Fit.” refers to the possible fitted models (${\mathcal{M}}_0$ and ${\mathcal{M}}_1$) with the different proposed spatio-temporal structures (IID and AR1)

ST Sce	T Sce	Data Gen	Model Fit	ST Sce	T Sce	Data Gen	Model Fit	ST Sce	T Sce	Data Gen	Model Fit
01	SIR-EP	IID	${\mathcal{M}}_0$ IID	09	SIR-FC	IID	${\mathcal{M}}_0$ IID	17	ACNB	IID	${\mathcal{M}}_0$ IID
02	SIR-EP	IID	${\mathcal{M}}_1$ IID	10	SIR-FC	IID	${\mathcal{M}}_1$ IID	18	ACNB	IID	${\mathcal{M}}_1$ IID
03	SIR-EP	IID	${\mathcal{M}}_0$ AR1	11	SIR-FC	IID	${\mathcal{M}}_0$ AR1	19	ACNB	IID	${\mathcal{M}}_0$ AR1
04	SIR-EP	IID	${\mathcal{M}}_1$ AR1	12	SIR-FC	IID	${\mathcal{M}}_1$ AR1	20	ACNB	IID	${\mathcal{M}}_1$ AR1
05	SIR-EP	AR1	${\mathcal{M}}_0$ IID	13	SIR-FC	AR1	${\mathcal{M}}_0$ IID	21	ACNB	AR1	${\mathcal{M}}_0$ IID
06	SIR-EP	AR1	${\mathcal{M}}_1$ IID	14	SIR-FC	AR1	${\mathcal{M}}_1$ IID	22	ACNB	AR1	${\mathcal{M}}_1$ IID
07	SIR-EP	AR1	${\mathcal{M}}_0$ AR1	15	SIR-FC	AR1	${\mathcal{M}}_0$ AR1	23	ACNB	AR1	${\mathcal{M}}_0$ AR1
08	SIR-EP	AR1	${\mathcal{M}}_1$ AR1	16	SIR-FC	AR1	${\mathcal{M}}_1$ AR1	24	ACNB	AR1	${\mathcal{M}}_1$ AR1