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Table 3 Multivariate regression models of excess death rates associated with the spring, fall, and winter pandemic waves as a function of socio-demographic variables across provinces of Spain

From: Spatial-temporal excess mortality patterns of the 1918–1919 influenza pandemic in Spain

Spring wave

Predictor

Coefficient

Standard error

P value

RMSE

Intercept

Predictor is in final model?

Baseline mortality rates

0.884

0.073

<0.001

1.31

−0.7852

Yes

Latitude

−0.017

0.074

0.822

  

No

Longitude

−0.041

0.058

0.478

  

No

Population density

0.004

0.006

0.505

  

No

Population size

0.000

0.000

0.764

  

No

Proportion of school age children 5–15 years

7.336

9.547

0.446

  

No

Infant mortality rates

0.002

0.002

0.168

  

No

Urbanization

0.049

0.015

0.002

  

Yes

Fall wave

Predictor

Coefficient

Standard error

P value

RMSE

Intercept

Predictor is in final model?

Baseline mortality rates

−0.68

1.55

0.67

29.8

−315.1

No

Latitude

7.02

1.61

<0.001

  

Yes

Longitude

0.21

1.76

0.90

  

No

Population density

−0.20

0.11

0.08

  

Yes

Population size

0.00

0.00

0.42

  

No

Proportion of school age children 5–15 years

403.45

205.47

0.06

  

Yes

Infant mortality rates

−0.02

0.03

0.60

  

No

Urbanization

−0.21

0.46

0.65

  

No

Winter wave

Predictor

Coefficient

Standard error

P value

RMSE

Intercept

Predictor is in final model?

Baseline mortality rates

0.754

0.048

<0.001

1.86

−2.5

Yes

Latitude

−0.121

0.109

0.275

  

No

Longitude

−0.048

0.085

0.573

  

No

Population density

0.005

0.008

0.548

  

No

Population size

0.000

0.000

0.462

  

No

Proportion of school age children 5–15 years

−14.092

12.843

0.278

  

No

Infant mortality rates

0.005

0.002

0.014

  

Yes

Urbanization

0.009

0.022

0.699

  

No

Cumulative excess rates

Predictor

Coefficient

Standard error

P value

RMSE

Intercept

Predictor is in final model?

Baseline mortality rates

−0.579

0.563

0.310

  

No

Latitude

7.082

1.528

<0.001

  

Yes

Longitude

0.050

1.674

0.976

  

No

Population density

−0.196

0.105

0.070

  

Yes

Population size

0.000

0.000

0.380

  

No

Proportion of school age children 5–15 years

395.934

195.292

0.049

  

Yes

Infant mortality rates

−0.001

0.033

0.972

  

No

Urbanization

−0.090

0.439

0.839

  

No

  1. We generated simplified models by means of backward stepwise elimination. Predictors in final simplified models for each pandemic wave are highlighted in bold. Coefficients, standard errors, and P values for all other predictors correspond to the full regression model.