Skip to main content

Table 1 Summary table of the model fitting and estimation results. The models results summarized here are also estimated by using the full epidemic dataset during the whole epidemic period. The models with the lowest AICs (for the same states) are considered as main results, which matches the results in Fig 2. The numbers in parentheses are the 95% CIs

From: Simple framework for real-time forecast in a data-limited situation: the Zika virus (ZIKV) outbreaks in Brazil from 2015 to 2016 as an example

State

Population

Model

Durationa

Epidemic notice period

Final size

Reproduction number

Turning pointb

Turning date

R 2

AIC

Acre

803,513

Richards

148

26.11.2015–23.04.2016

783

(774–793)

2.13 (2.07–2.19)

111 (110–113)

17.03.2016

(15.03.2016–18.03.2016)

0.9995

108.1

Acre

803,513

Gompertz

148

26.11.2015–23.04.2016

925

(804–1045)

2.25 (1.82–2.76)

96 (91–100)

01.03.2016

(25.02.2016–05.03.2016)

0.9887

176.8

Acre

803,513

Logistic

148

26.11.2015–23.04.2016

858

(804–912)

3.45 (2.94–4.04)

101 (98–104)

07.03.2016

(03.03.2016–10.03.2016)

0.9934

162.9

Bahia

15,203,934

Richards

218

29.10.2015–04.06.2016

55,472

(54,683–56,260)

1.63 (1.58–1.68)

135 (132–139)

13.03.2016

(09.03.2016–16.03.2016)

0.9984

164.5

Bahia

15,203,934

Gompertz

218

29.10.2015–04.06.2016

59,773

(56,293–63,252)

1.89 (1.68–2.13)

113 (110–117)

20.02.2016

(16.02.2016–24.02.2016)

0.9885

227.8

Bahia

15,203,934

Logistic

218

29.10.2015–04.06.2016

58,896

(56,603–61,189)

2.21 (2.03–2.40)

121 (118–125)

27.02.2016

(24.02.2016–02.03.2016)

0.9922

213.5

Espirito Santo

3,929,911

Richards

84

23.01.2016–16.04.2016

2066

(1913–2219)

2.42 (1.78–3.25)

38 (32–44)

29.02.2016

(23.02.2016–07.03.2016)

0.9963

8.6

Espirito Santo

3,929,911

Gompertz

84

23.01.2016–16.04.2016

2293

(1993–2592)

2.11 (1.68–2.64)

30 (25–35)

22.02.2016

(16.02.2016–27.02.2016)

0.9940

14.8

Espirito Santo

3,929,911

Logistic

84

23.01.2016–16.04.2016

2132

(2020–2243)

3.05 (2.73–3.41)

35 (32–38)

27.02.2016

(24.02.2016–29.02.2016)

0.9960

7.6

Goiania City

6,610,681

Richards

155

10.12.2015–14.05.2016

na

na

na

na

na

na

Goiania City

6,610,681

Gompertz

155

10.12.2015–14.05.2016

2578

(2437–2718)

1.89 (1.79–2.00)

104 (102–106)

23.03.2016

(21.03.2016–25.03.2016)

0.9989

192.5

Goiania City

6,610,681

Logistic

155

10.12.2015–14.05.2016

2243

(2184–2303)

3.07 (2.92–3.24)

109 (108–111)

29.03.2016

(27.03.2016–30.03.2016)

0.9991

186.2

Mato Grosso

3,265,486

Richards

134

29.10.2015–12.03.2016

na

na

na

na

na

na

Mato Grosso

3,265,486

Gompertz

134

29.10.2015–12.03.2016

19,791

(18,147–21,435)

1.67 (1.56–1.79)

73 (69–76)

10.01.2016

(06.01.2016–14.01.2016)

0.9978

83.2

Mato Grosso

3,265,486

Logistic

134

29.10.2015–12.03.2016

17,165

(16,411–17,920)

2.47 (2.31–2.65)

79 (77–82)

17.01.2016

(14.01.2016–19.01.2016)

0.9974

84.2

Parana

11,163,018

Richards

141

14.01.2016–04.06.2016

na

na

na

na

na

na

Parana

11,163,018

Gompertz

141

14.01.2016–04.06.2016

4382

(4162–4602)

1.92 (1.80–2.04)

79 (77–81)

02.04.2016

(31.03.2016–02.04.2016)

0.9984

102.1

Parana

11,163,018

Logistic

141

14.01.2016–04.06.2016

4008

(3894–4123)

2.82 (2.66–2.99)

86 (84–87)

09.04.2016

(07.04.2016–11.04.2016)

0.9986

98.4

Pernambuco

9,345,173

Richards

169

03.12.2015–21.05.2016

9936

(9770–10,102)

1.85 (1.75–1.95)

90 (87–93)

02.03.2016

(29.02.2016–05.03.2016)

0.9990

116.3

Pernambuco

9,345,173

Gompertz

169

03.12.2015–21.05.2016

10,721

(10,168–11,273)

1.85 (1.69–2.01)

76 (73–79)

17.02.2016

(14.02.2016–21.02.2016)

0.9945

158.4

Pernambuco

9,345,173

Logistic

169

03.12.2015–21.05.2016

10,323

(10,070–10,576)

2.33 (2.21–2.45)

84 (82–86)

25.02.2016

(23.02.2016–27.02.2016)

0.9975

136.8

Rio Grande

11,247,972

Richards

162

24.12.2015–04.06.2016

595

(492–698)

1.98 (1.65–2.36)

124 (119–129)

26.04.2016

(21.04.2016–01.05.2016)

0.9962

120.6

Rio Grande

11,247,972

Gompertz

162

24.12.2015–04.06.2016

772

(653–890)

1.54 (1.43–1.65)

120 (112–128)

22.04.2016

(14.04.2016–30.04.2016)

0.9971

114.5

Rio Grande

11,247,972

Logistic

162

24.12.2015–04.06.2016

634

(575–693)

2.15 (2.00–2.32)

124 (118–129)

26.04.2016

(20.04.2016–02.05.2016)

0.9960

119.4

  1. aThe “duration” is the epidemic reporting duration (in days) since the starting time (date; day.month.year) of the reported outbreak, which is the difference of the end and start dates of the “epidemic reporting period”
  2. bThe “turning point” is the estimated time period (in days) from the starting time (date; day.month.year) of the outbreak to the estimated occurrence of the turning point
  3. Abbreviations: AIC, Akaike information criterion; na, not applicable; this occurs when the fitting progress fails to converge for a few model frameworks; CI, confidence interval