| Literature DB >> 23473714 |
Emily J Nicoli1, Caroline L Trotter, Katherine M E Turner, Caroline Colijn, Pauline Waight, Elizabeth Miller.
Abstract
OBJECTIVES: The common seasonality of incidence of invasive pneumococcal disease (IPD) and viral respiratory infections has long been recognized, however, the extent to which this affects the association between the pathogens is unknown. We have analysed weekly surveillance data of IPD, influenza and respiratory syncytial virus (RSV), using ambient temperature and hours of sunshine as measures of seasonality.Entities:
Mesh:
Year: 2013 PMID: 23473714 PMCID: PMC3650581 DOI: 10.1016/j.jinf.2013.02.007
Source DB: PubMed Journal: J Infect ISSN: 0163-4453 Impact factor: 6.072
Description of regression models, method, log- and identity-linked and their equation.
| Model | Method | Link | Equation |
|---|---|---|---|
| 1 | Linear | Identity | |
| 2 | Negative binomial | Identity | |
| 3 | Negative binomial | Log | log( |
Figure 1Time series plots of incidence per 100 000 population of IPD, influenza and RSV, the mean weekly temperature (°C) and monthly sunshine (h), from week 1 (January), 1996 to week 23 (June), 2009.
Number (percentage), by age group, of cases of each disease over the study period.
| Age group | IPD | Influenza | RSV |
|---|---|---|---|
| 0–4 yrs | 8153 (11.43%) | 4510 (18.30%) | 107 525 (94.81%) |
| 5–14 yrs | 1787 (2.51%) | 2393 (9.71%) | 1190 (1.05%) |
| 15–64 yrs | 26 457 (37.09%) | 12 209 (49.55%) | 3079 (2.72%) |
| 65+ yrs | 34 936 (48.98%) | 5528 (22.44%) | 1616 (1.43%) |
Figure 2Scatter plot of (a) weekly incidence of IPD against weekly incidence of viral infection (influenza [LEFT] and RSV [RIGHT]) and (b) the equivalent standardized results; with linear trend lines and 95% confidence intervals.
Figure 3Pearson and Spearman's correlation coefficients for all ages and each age group for IPD and influenza and IPD and RSV (all coefficients have P-values <0.001).
Linear regression, negative binomial regression with an identity link and with a log link for each age group with temperature as a meteorological variable.
| Age | Variable | Additive | Multiplicative | ||||
|---|---|---|---|---|---|---|---|
| Linear Reg. | N. Binomial Reg. with identity link | N. Binomial Reg. with log link | |||||
| Coefficient | Coefficient | Coefficient | |||||
| All ages | ‘Flu | 0.262 | <0.001 | 0.285 | <0.001 | 0.002 | <0.001 |
| RSV | 0.032 | <0.001 | 0.029 | <0.001 | 0.000 | 0.001 | |
| Temp. | −4.711 | <0.001 | −4.664 | <0.001 | −0.060 | <0.001 | |
| Constant | 136.102 | <0.001 | 135.279 | <0.001 | 5.095 | <0.001 | |
| 0–4 yrs | ‘Flu | −0.004 | 0.771 | 0.004 | 0.787 | −0.001 | 0.577 |
| RSV | 0.002 | 0.046 | 0.002 | 0.032 | 0.000 | 0.135 | |
| Temp. | −0.613 | <0.001 | −0.630 | <0.001 | −0.060 | <0.001 | |
| Constant | 17.746 | <0.001 | 17.848 | <0.001 | 3.024 | <0.001 | |
| 5–14 yrs | ‘Flu | 0.033 | 0.023 | 0.032 | 0.076 | 0.009 | 0.090 |
| RSV | 0.132 | <0.001 | 0.109 | 0.001 | 0.034 | 0.001 | |
| Temp. | −0.084 | <0.001 | −0.094 | <0.001 | −0.043 | <0.001 | |
| Constant | 3.081 | <0.001 | 3.227 | <0.001 | 1.246 | <0.001 | |
| 15–64 yrs | ‘Flu | 0.092 | 0.002 | 0.071 | 0.064 | 0.001 | 0.098 |
| RSV | 1.853 | <0.001 | 1.640 | <0.001 | 0.032 | <0.001 | |
| Temp. | −1.158 | <0.001 | −1.401 | <0.001 | −0.048 | <0.001 | |
| Constant | 40.006 | <0.001 | 43.771 | <0.001 | 3.896 | <0.001 | |
| 65+ yrs | ‘Flu | 0.340 | <0.001 | 0.406 | <0.001 | 0.004 | <0.001 |
| RSV | 2.647 | <0.001 | 2.502 | <0.001 | 0.034 | <0.001 | |
| Temp. | −2.407 | <0.001 | −2.298 | <0.001 | −0.062 | <0.001 | |
| Constant | 65.960 | <0.001 | 64.553 | <0.001 | 4.366 | <0.001 | |
Linear regression, negative binomial regression with an identity link and with a log link for each age group with monthly lagged hours of sunshine as a meteorological variable.
| Age | Variable | Additive | Multiplicative | ||||
|---|---|---|---|---|---|---|---|
| Linear Reg. | N. Binomial Reg. with identity link | N. Binomial Reg. with log link | |||||
| Coefficient | Coefficient | Coefficient | |||||
| All ages | ‘Flu | 0.226 | <0.001 | 0.349 | <0.001 | 0.000 | <0.001 |
| RSV | 0.030 | 0.006 | 0.033 | 0.005 | 0.000 | 0.013 | |
| Sun | −1.655 | <0.001 | −1.320 | <0.001 | −0.004 | <0.001 | |
| Constant | 577.816 | <0.001 | 519.261 | <0.001 | 6.456 | <0.001 | |
| 0–4 yrs | ‘Flu | −0.004 | 0.879 | 0.013 | 0.571 | 0.000 | 0.832 |
| RSV | 0.002 | 0.293 | 0.002 | 0.255 | 0.000 | 0.415 | |
| Sun | −0.213 | <0.001 | −0.213 | <0.001 | −0.005 | <0.001 | |
| Constant | 74.342 | <0.001 | 73.834 | <0.001 | 4.427 | <0.001 | |
| 5–14 yrs | ‘Flu | 0.060 | 0.014 | 0.066 | 0.029 | 0.004 | 0.017 |
| RSV | 0.149 | 0.008 | 0.147 | 0.005 | 0.010 | 0.010 | |
| Sun | −0.015 | 0.235 | −0.018 | 0.084 | −0.002 | 0.036 | |
| Constant | 10.881 | <0.001 | 11.165 | <0.001 | 2.500 | <0.001 | |
| 15–64 yrs | ‘Flu | 0.043 | 0.414 | 0.094 | 0.157 | 0.000 | 0.407 |
| RSV | 2.396 | <0.001 | 2.752 | <0.001 | 0.011 | <0.001 | |
| Sun | −0.237 | 0.050 | −0.168 | 0.059 | −0.003 | <0.001 | |
| Constant | 142.349 | <0.001 | 125.034 | <0.001 | 5.105 | <0.001 | |
| 65+ yrs | ‘Flu | 0.204 | 0.010 | 0.447 | 0.006 | 0.001 | 0.079 |
| RSV | 3.800 | <0.001 | 4.509 | <0.001 | 0.013 | <0.001 | |
| Sun | −0.692 | <0.001 | −0.503 | <0.001 | −0.004 | <0.001 | |
| Constant | 251.428 | <0.001 | 215.461 | <0.001 | 5.633 | <0.001 | |
Percentage of IPD cases attributable to influenza and RSV for the two additive models; linear regression model and negative binomial regression model with identity-link (additive) and with log-link (multiplicative) with temperature as a meteorological variable.
| Age | Attributable to | Linear regression | Additive negative binomial regression | Multiplicative negative binomial regression | |||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| % | Std dev | 95% CI | % | Std dev | 95% CI | % | Std dev | 95% CI | |||||
| All ages | Influenza | 6.888 | 8.114 | 0.461 | 26.312 | 7.461 | 8.689 | 0.503 | 28.131 | 5.557 | 8.745 | 0.158 | 23.806 |
| RSV | 3.892 | 5.734 | 0.167 | 17.731 | 3.525 | 5.235 | 0.150 | 16.175 | 2.940 | 4.779 | 0.054 | 14.208 | |
| 0–4 yrs | Influenza | −0.198 | 0.410 | −0.932 | 0.000 | 0.184 | 0.374 | 0.000 | 0.868 | −0.373 | 0.785 | −1.793 | 0.000 |
| RSV | 1.764 | 2.766 | 0.038 | 8.338 | 1.956 | 3.052 | 0.044 | 9.175 | 1.418 | 2.364 | 0.018 | 6.949 | |
| 5–14 yrs | Influenza | 3.493 | 5.166 | 0.000 | 14.782 | 3.359 | 4.975 | 0.000 | 14.171 | 2.919 | 5.103 | 0.000 | 13.644 |
| RSV | 6.598 | 9.160 | 0.000 | 26.898 | 5.548 | 7.815 | 0.000 | 22.849 | 5.867 | 9.415 | 0.000 | 27.568 | |
| 15–64 yrs | Influenza | 3.441 | 4.005 | 0.197 | 12.552 | 2.667 | 3.150 | 0.151 | 9.941 | 1.831 | 2.770 | 0.105 | 7.441 |
| RSV | 16.712 | 13.898 | 0.000 | 44.124 | 14.911 | 12.609 | 0.000 | 40.078 | 14.514 | 17.138 | 0.000 | 52.721 | |
| 65+ yrs | Influenza | 4.047 | 5.593 | 0.000 | 16.328 | 4.781 | 6.502 | 0.000 | 19.176 | 3.226 | 6.306 | 0.000 | 14.687 |
| RSV | 9.514 | 9.365 | 0.000 | 28.468 | 9.053 | 8.962 | 0.000 | 27.222 | 7.905 | 10.236 | 0.000 | 27.356 | |
Standard deviation.
95% confidence interval.
Percentage of IPD cases attributable to influenza and RSV for the two additive models; linear regression model and negative binomial regression model with identity-link (additive) and with log-link (multiplicative) with monthly lagged hours of sunshine as a meteorological variable.
| Age | Attributable to | Linear regression | Additive negative binomial regression | Multiplicative negative binomial regression | |||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| % | Std dev | 95% CI | % | Std dev | 95% CI | % | Std dev | 95% CI | |||||
| All ages | Influenza | 6.127 | 6.925 | 0.723 | 19.907 | 9.233 | 9.907 | 1.172 | 29.012 | 5.740 | 8.462 | 0.414 | 23.312 |
| RSV | 3.751 | 5.284 | 0.193 | 16.457 | 4.122 | 5.824 | 0.213 | 17.789 | 3.393 | 5.220 | 0.096 | 15.328 | |
| 0–4 yrs | Influenza | −0.184 | 0.348 | −0.717 | 0.000 | 0.562 | 1.030 | 0.000 | 2.210 | −0.221 | 0.423 | −0.917 | 0.000 |
| RSV | 1.580 | 2.368 | 0.052 | 7.066 | 1.612 | 2.409 | 0.055 | 7.215 | 1.213 | 1.913 | 0.024 | 5.638 | |
| 5–14 yrs | Influenza | 6.377 | 8.142 | 0.000 | 23.730 | 6.899 | 8.673 | 0.000 | 25.393 | 5.686 | 8.849 | 0.000 | 23.850 |
| RSV | 7.944 | 9.531 | 0.000 | 29.074 | 7.724 | 9.267 | 0.000 | 28.360 | 7.600 | 10.624 | 0.000 | 34.290 | |
| 15–64 yrs | Influenza | 1.655 | 1.881 | 0.218 | 5.888 | 3.581 | 3.896 | 0.493 | 12.417 | 1.408 | 1.990 | 0.112 | 4.918 |
| RSV | 22.212 | 15.883 | 2.228 | 53.665 | 25.085 | 17.146 | 2.658 | 58.155 | 20.826 | 22.660 | 1.091 | 73.080 | |
| 65+ yrs | Influenza | 2.533 | 3.295 | 0.242 | 9.416 | 5.322 | 6.429 | 0.545 | 19.129 | 2.213 | 3.985 | 0.129 | 8.642 |
| RSV | 14.120 | 10.792 | 0.000 | 35.426 | 16.574 | 12.330 | 0.000 | 40.386 | 12.977 | 14.289 | 0.000 | 42.692 | |
Standard deviation.
95% confidence interval.