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Table 2 Percentage of the variance of the instantaneous reproduction number (\({R}_{t}\)) explained by the drivers, across respective provinces from 2013 to 2018. The results are based on the distributed lag model (DLNMs) with lags of 0–2 weeks

From: Association between ozone and influenza transmissibility in China

Provinces

Models

With unadjusted \({R}_{t}\)

With adjusted \({R}_{t}\)

\({R}^{2}\)

%â–³\({R}^{2}\)

df

\({R}^{2}\)

%â–³\({R}^{2}\)

df

Northern China

Beijing

Model1a

0.39

-

719

0.13

-

719

 

Model2b

0.43

5.00

711

0.25

12.00

711

 

Model3c

0.52

13.00

677

0.54

41.00

677

Tianjin

Model1a

0.50

-

663

0.33

-

663

 

Model2b

0.52

2.00

655

0.50

17.00

655

 

Model3c

0.61

11.00

621

0.71

38.00

621

Gansu

Model1a

0.42

-

488

0.03

-

488

 

Model2b

0.46

4.00

484

0.37

34.00

484

 

Model3c

0.56

14.00

450

0.48

45.00

450

Liaoning

Model1a

0.08

-

623

0.06

-

623

 

Model2b

0.21

13.00

615

0.39

33.00

615

 

Model3c

0.28

20.00

587

0.45

39.00

587

Southern China

Shanghai

Model1a

0.64

-

828

0.40

-

828

 

Model2b

0.65

1.00

820

0.42

2.00

820

 

Model3c

0.68

3.00

800

0.45

3.00

800

Jiangsu

Model1a

0.43

-

831

0.04

-

831

 

Model2b

0.46

3.00

824

0.45

41.00

824

 

Model3c

0.47

4.00

818

0.43

39.00

818

Guangdong

Model1a

0.20

-

800

0.07

-

800

 

Model2b

0.25

5.00

792

0.26

19.00

792

 

Model3c

0.39

19.00

768

0.49

42.00

768

Hunan

Model1a

0.28

-

814

0.35

-

814

 

Model2b

0.30

2.00

806

0.56

21.00

806

 

Model3c

0.38

10.00

778

0.51

16.00

778

  1. \({R}^{2}\) and \(df\) are measures of R-square and degree of freedom from the regression model respectively
  2. \({\%\Delta R}^{2}\) measured the change in the explained variance (i.e., variance explained by either model 2 or model 3) in comparison to the model 1. For model 2, the equation is: \(\% {\Delta R}^{2}=|({R}_{model2}^{2}-{R}_{model1}^{2})|\times 100\). For model 3, the equation is: \(\% {\Delta R}^{2}=|({R}_{model3}^{2}-{R}_{model1}^{2})|\times 100\)
  3. a Model1: factors affecting \({R}_{t}\) (or adjusted \({R}_{t}\)) include depletion of susceptibles, and /or inter-epidemic factors
  4. b Model2: model 1 for \({R}_{t}\) plus O3
  5. c Model3: model 1 for \({R}_{t}\) plus O3 and other drivers