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. 2013 Jun 13;8(6):e65761. doi: 10.1371/journal.pone.0065761

Table 3. Parameter estimates (mean and 95% credible interval) of selected negative binomial models.

Parameter GARIMA(3′,1,0)-SOH-RF GSARIMA(3′,1,0)×(1,0,0)12
β rain −0.34 (−0.66, −0.02)
β sin(2πt/12) −0.10 (−0.23, 0.02)
β cos(2πt/12) −0.15 (−0.28, −0.02)
β sin(2πt/6) 0.14 (0.06, 0.21)
β cos(2πt/6) 0.16 (0.07, 0.24)
φ 3 −0.10 (−0.19, 0.00) −0.13 (−0.23, −0.04)
φ 1 * 0.12 (0.03, 0.22)
ψ 4.54 (3.87, 5.27) 4.32 (3.69, 5.04)
Amplitude AH$ 0.19 (0.07, 0.32)
Amplitude SAH$ 0.21 (0.13, 0.29)
Phase shift AH$ 4.83 (3.30, 6.35)
Phase shift SAH$ −0.69 (−1.05, −0.34)

Legend: GARIMA(3,1,0)-SOH-RF = GARIMA(3,1,0) model with parameters for the first two lags (Inline graphic and Inline graphic) omitted, second order harmonics and rainfall lagged at 2 months (in m); GSARIMA(3,1,0)×(1,0,0)12 = GSARIMA(3,1,0)×(1,0,0)12 model with parameters for the first two lags (Inline graphic and Inline graphic) fixed to zero; AH = annual harmonic, SAH = semi-annual harmonic; $ = derived parameter, phase shift = phase shift of the cosine function expressed in months.