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. 2014 Nov 4;9(11):e111894. doi: 10.1371/journal.pone.0111894

Table 5. Models used for nowcasting and forecasting: Linear and Periodic models.

LAGS Additional regressors Time Samples Data Transformations Total models
NO REG. GI(FS) GI(JOBS) GIs(JOBS & FS) UR IC GI(FS), UR, IC G(JOBS), UR, IC GI(JOBS & FS), UR, IC 1988M10-2011M5 2004M1-2011M5 Inline graphic log(Inline graphic) Inline graphic Inline graphic (sum by row)
Regressors: sim. sim. and sim. sim. and sim. sim. and lag1 lagged sim. sim. and sim. + sim. + sim. +
sim./lagged lagged Lagged lagged lagged lag1 lag1 lag1
AR(p) up to 12 yes yes yes yes yes yes yes 12 Inline graphic 4 Inline graphic 2 = 96
up to 12 yes yes yes yes yes yes 12 Inline graphic 4 Inline graphic 1 = 48
up to 12 yes yes yes yes yes yes 12 Inline graphic 4 Inline graphic 1 = 48
up to 12 yes yes yes yes yes yes 12 Inline graphic 4 Inline graphic 1 = 48
up to 12 yes yes yes yes yes yes 12 Inline graphic 4 Inline graphic 1 = 48
up to 12 yes yes yes yes yes yes 12 Inline graphic 4 Inline graphic 1 = 48
up to 12 yes yes yes yes yes yes 12 Inline graphic 4 Inline graphic 1 = 48
up to 12 yes yes yes yes yes yes yes 12 Inline graphic 4 Inline graphic 2 = 96
up to 12 yes yes yes yes yes yes yes 12 Inline graphic 4 Inline graphic 2 = 96
up to 12 yes yes yes yes yes yes yes 12 Inline graphic 4 Inline graphic 2 = 96
up to 12 yes yes yes yes yes yes yes 12 Inline graphic 4 Inline graphic 2 = 96
up to 12 yes yes yes yes yes yes 12 Inline graphic 4 Inline graphic 1 = 48
up to 12 yes yes yes yes yes yes 12 Inline graphic 4 Inline graphic 1 = 48
up to 12 yes yes yes yes yes yes 12 Inline graphic 4 Inline graphic 1 = 48
ARMA(p, q) up to 12 yes yes yes yes yes yes yes 12 Inline graphic 4 Inline graphic 2 = 96
up to 12 yes yes yes yes yes yes 12 Inline graphic 4 Inline graphic 1 = 48
up to 12 yes yes yes yes yes yes 12 Inline graphic 4 Inline graphic 1 = 48
up to 12 yes yes yes yes yes yes 12 Inline graphic 4 Inline graphic 1 = 48
up to 12 yes yes yes yes yes yes yes 12 Inline graphic 4 Inline graphic 2 = 96
up to 12 yes yes yes yes yes yes yes 12 Inline graphic 4 Inline graphic 2 = 96
up to 12 yes yes yes yes yes yes 12 Inline graphic 4 Inline graphic 1 = 48
up to 12 yes yes yes yes yes yes 12 Inline graphic 4 Inline graphic 1 = 48
up to 12 yes yes yes yes yes yes 12 Inline graphic 4 Inline graphic 1 = 48
AR(p) up to 12 yes yes yes yes yes yes yes 12 Inline graphic 4 Inline graphic 2 = 96
+ seasonal up to 12 yes yes yes yes yes yes 12 Inline graphic 4 Inline graphic 1 = 48
constants up to 12 yes yes yes yes yes yes 12 Inline graphic 4 Inline graphic 1 = 48
up to 12 yes yes yes yes yes yes 12 Inline graphic 4 Inline graphic 1 = 48
up to 12 yes yes yes yes yes yes yes 12 Inline graphic 4 Inline graphic 2 = 96
up to 12 yes yes yes yes yes yes yes 12 Inline graphic 4 Inline graphic 2 = 96
up to 12 yes yes yes yes yes yes 12 Inline graphic 4 Inline graphic 1 = 48
up to 12 yes yes yes yes yes yes 12 Inline graphic 4 Inline graphic 1 = 48
up to 12 yes yes yes yes yes yes 12 Inline graphic 4 Inline graphic 1 = 48
PAR(p) up to 3 yes yes yes yes yes yes yes 3 Inline graphic 4 Inline graphic 2 = 24
up to 3 yes yes yes yes yes yes 3 Inline graphic 4 Inline graphic 1 = 12
up to 3 yes yes yes yes yes yes 3 Inline graphic 4 Inline graphic 1 = 12
up to 3 yes yes yes yes yes yes 3 Inline graphic 4 Inline graphic 1 = 12
up to 3 yes yes yes yes yes yes 3 Inline graphic 4 Inline graphic 1 = 12
up to 3 yes yes yes yes yes yes 3 Inline graphic 4 Inline graphic 1 = 12
up to 3 yes yes yes yes yes yes 3 Inline graphic 4 Inline graphic 1 = 12
up to 1 yes yes yes yes yes yes yes 1 Inline graphic 4 Inline graphic 2  = 8
up to 3 yes yes yes yes yes yes yes 3 Inline graphic 4 Inline graphic 2  = 24
up to 1 yes yes yes yes yes yes yes 1 Inline graphic 4 Inline graphic 2  = 8
up to 3 yes yes yes yes yes yes yes 3 Inline graphic 4 Inline graphic 2  = 24
up to 1 yes yes yes yes yes yes 1 Inline graphic 4 Inline graphic 1  = 4
up to 1 yes yes yes yes yes yes 1 Inline graphic 4 Inline graphic 1  = 4
up to 1 yes yes yes yes yes yes 1 Inline graphic 4 Inline graphic 1  = 4
PAR(p) up to 3 yes yes yes yes yes yes yes 3 Inline graphic 4 Inline graphic 2 = 24
+ periodic up to 3 yes yes yes yes yes yes 3 Inline graphic 4 Inline graphic 1 = 12
trends up to 3 yes yes yes yes yes yes 3 Inline graphic 4 Inline graphic 1 = 12
up to 3 yes yes yes yes yes yes 3 Inline graphic 4 Inline graphic 1 = 12
up to 1 yes yes yes yes yes yes yes 1 Inline graphic 4 Inline graphic 2  = 8
up to 1 yes yes yes yes yes yes yes 1 Inline graphic 4 Inline graphic 2  = 8
up to 1 yes yes yes yes yes yes 1 Inline graphic 4 Inline graphic 1  = 4
up to 1 yes yes yes yes yes yes 1 Inline graphic 4 Inline graphic 1  = 4
up to 1 yes yes yes yes yes yes 1 Inline graphic 4 Inline graphic 1  = 4
PAR(p) up to 3 yes yes yes yes yes yes yes 3 Inline graphic 4 Inline graphic 2 = 24
+ ARCH(1) up to 3 yes yes yes yes yes yes 3 Inline graphic 4 Inline graphic 1 = 12
up to 3 yes yes yes yes yes yes yes 3 Inline graphic 4 Inline graphic 2  = 24
up to 3 yes yes yes yes yes yes yes 3 Inline graphic 4 Inline graphic 2  = 24
PEC 1,12 yes yes yes yes 1 Inline graphic 2 Inline graphic 1 = 2
PEC 1,12 yes yes yes yes yes 1 Inline graphic 2 Inline graphic 2 = 4
PEC 1,12 yes yes yes yes yes 1 Inline graphic 2 Inline graphic 2 = 4
PEC 1,12 yes yes yes yes yes yes 1 Inline graphic 2 Inline graphic 2 = 4
PEC 1,12 yes yes yes yes 1 Inline graphic 2 Inline graphic 1 = 2