Table 1.
Summary of the structures of the spatio-temporal models discussed in this paper. The following abbreviations are used in the table: AR = autoregressive model [17], BYM = Besag–York–Mollie model (4), CAR = conditional autoregressive model (3).
| Paper | Space | Time | Space–Time |
|---|---|---|---|
| Bernardinelli et al. (1995) [6] | CAR | Linear | CAR |
| Waller et al. (1997) [15] | - | - | BYM |
| Xia and Carlin (1997) [16] | - | - | BYM |
| Knorr-Held and Besag (1998) [18] | BYM | BYM | - |
| Bohning et al. (2000) [19] | - | - | Poisson Mixture |
| Knorr-Held (2000) [20] | BYM | BYM | Kronecker |
| MacNab and Dean (2001) [7] | CAR | B-Spline | CAR/B-Spline |
| Bohning (2003) [21] | - | - | Poisson Mixture |
| Congdon and Southall (2005) [22] | CAR | Independent AR | |
| MacNab (2007) [23] | CAR | B-Spline | CAR + B-Spline |
| Kottas et al. (2008) [24] | Dirichlet | AR | - |
| Martinez-Beneito et al. (2008) [25] | CAR | AR | CAR + AR |
| Ugarte et al. (2010) [26] | P-Spline | P-Spline | P-Spline |
| Torabi and Rosychuk [27] | CAR | B-Spline | Kronecker |
| Lawson et al. (2012) [28] | CAR | AR | Poisson Mixture |
| Lee and Lawson (2014) [29] (Method A) | - | - | Piecewise constant |
| Lee and Lawson (2014) [29] (Method B) | - | - | CAR + AR |
| Rushworth et al. (2014) [30] | - | - | CAR + AR |