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Table 1 Model input parameters and data sources

From: Optimal timing and effectiveness of COVID-19 outbreak responses in China: a modelling study

Variable

Description

Value (range)

Source

 

Transmission parameters

  

βI

per-contact SARS-CoV-2 transmission rate

3.90% (3.86% - 3.94%)

Calibration

z

Daily zoonotic force of infection before closure

86

Wu et al. [7]

 

COVID-19 daily mortality rate in Wuhan, by age category

  

μ1

Youth

0.01% (0.00% - 0.01%)

Calibration

μ2

Adult

0.55% (0.47% - 0.63%)

Calibration

μ3

Elderly

5.61% (5.34% - 5.86%)

Calibration

 

Mortality rate reduction for other cities, relative to Wuhan

85.7%

China CDC [12]

 

Time from symptom onset to death, by age category

  

μ1

Youth

20 days

Wang et al. [13]

μ2

Adult

20 days

Wang et al. [13]

μ3

Elderly

11 days

Wang et al. [13]

 

Daily number of contacts, by age category

  

M1

Youth

21

Estimated from Read et al. [14]

M2

Adult

20

Estimated from Read et al. [14]

M3

Elderly

15

Estimated from Read et al. [14]

 

Assortative mixing coefficient, by age

  

γ1

Youth

45.7%

Estimated from Read et al. [14]

γ2

Adult

78.0%

Estimated from Read et al. [14]

γ3

Elderly

5.5%

Estimated from Read et al. [14]

 

Wuhan age distribution

  
 

Youth

18.89%

National Bureau of Statistics [15]

 

Adult

68.43%

National Bureau of Statistics [15]

 

Elderly

12.68%

National Bureau of Statistics [15]

 

Chongqing age distribution

  
 

Youth

24.78%

National Bureau of Statistics [15]

 

Adult

57.80%

National Bureau of Statistics [15]

 

Elderly

17.42%

National Bureau of Statistics [15]

 

Beijing age distribution

  
 

Youth

14.07%

National Bureau of Statistics [15]

 

Adult

73.39%

National Bureau of Statistics [15]

 

Elderly

12.54%

National Bureau of Statistics [15]

 

Shanghai age distribution

  
 

Youth

13.48%

National Bureau of Statistics [15]

 

Adult

71.44%

National Bureau of Statistics [15]

 

Elderly

15.07%

National Bureau of Statistics [15]

 

Proportion of infections that are symptomatic

  

ρ1

Youth

30.3% (5.4% - 65.3%)

Calibration

ρ2

Adult

67.5% (61.8% - 74.3%)

Calibration

ρ3

Elderly

42.8% (39.0% - 46.5%)

Calibration

 

Proportion of symptomatic infections that receive clinical confirmation

  
 

Youth

9.5% (3.0% - 25.8%)

Informed from model

 

Adult

81.9% (69.2% - 94.3%)

Informed from model

 

Elderly

100%

Informed from model

 

Travel volume in Wuhan (persons per day)

  

T(w,c)(t)

outbound, normal,

505,646

Wu et.al [7]

T(w,c)(t)

outbound, chunyun,

720,859

Wu et.al [7]

T(c,w)(t)

inbound, normal,

490,856

Wu et.al [7]

T(c,w)(t)

inbound, chunyun,

814,046

Wu et.al [7]

 

inbound reduction during city-wide quarantine

95.62%

Baidu database [16]

 

outbound reduction during city-wide quarantine

92.37%

Baidu database [16]

 

Proportion of outbound Wuhan travel volume arriving in other Chinese cities

  
 

Chongqing, normal

1.27%

Baidu database [16]

 

Beijing, normal

0.86%

Baidu database [16]

 

Shanghai, normal

0.66%

Baidu database [16]

 

Chongqing, quarantine

0.44%

Baidu database [16]

 

Beijing, quarantine

0.24%

Baidu database [16]

 

Shanghai, quarantine

0.29%

Baidu database [16]

 

City population size

  
 

Wuhan

19 million

Wu et al. [7]

 

Chongqing

30.48 million

National Bureau of Statistics [15]

 

Beijing

21.54 million

National Bureau of Statistics [15]

 

Shanghai

24.24 million

National Bureau of Statistics [15]

 

Daily cost of mass social distancing

  
 

Wuhan

$20.41 million USD

Additional file 1 — Technical Appendix, Section 2

 

Chongqing

$48.45 million USD

Additional file 1 — Technical Appendix, Section 2

 

Beijing

$72.66 million USD

Additional file 1 — Technical Appendix, Section 2

 

Shanghai

$78.37 million USD

Additional file 1 — Technical Appendix, Section 2

 

Daily cost of Wuhan city-wide quarantine

$522.77 million USD

Additional file 1 — Technical Appendix, Section 2

 

Daily cost of contact tracing and quarantine, per person

$16.438 USD

Armbruster and Brandeau [17]

 

Health care cost per hospitalized COVID-19 case

$4,124.64 USD

Du et al. [18]

 

Economic cost per non-fatal COVID-19 case

  
 

Youth

$395.82 USD

Additional file 1 — Technical Appendix, Section 2

 

Adult

$3,951.24 USD

Additional file 1 — Technical Appendix, Section 2

 

Elderly

$462.66 USD

Additional file 1 — Technical Appendix, Section 2

 

Economic cost per fatal COVID-19 case

  
 

Youth

$2,069,041 USD

Additional file 1 — Technical Appendix, Section 2

 

Adult

$1,142,677 USD

Additional file 1 — Technical Appendix, Section 2

 

Elderly

$291,130 USD

Additional file 1 — Technical Appendix, Section 2