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Original Research

Forecasting the seasonality and trend of pulmonary tuberculosis in Jiangsu Province of China using advanced statistical time-series analyses

, , , , , , & show all
Pages 2311-2322 | Published online: 26 Jul 2019

Figures & data

Figure 1 Structure diagram of three-layer BPNN. BPNNs start as a network of nodes in three layers: the input, hidden and output layers. The input and output layers serve as nodes to buffer input and output for the model, respectively, and the hidden layer serves to provide a means for input relations to be represented in the output.

Figure 1 Structure diagram of three-layer BPNN. BPNNs start as a network of nodes in three layers: the input, hidden and output layers. The input and output layers serve as nodes to buffer input and output for the model, respectively, and the hidden layer serves to provide a means for input relations to be represented in the output.

Table 1 Predicted monthly notification rate of pulmonary tuberculosis in 2016 using the ARIMA and BPNN model

Figure 2 Monthly notification rate of pulmonary tuberculosis from January 2005 to December 2015 in Jiangsu, China.

Figure 2 Monthly notification rate of pulmonary tuberculosis from January 2005 to December 2015 in Jiangsu, China.

Figure 3 ACF and PACF plots. The autocorrelation function (ACF) and partial autocorrelation function (PACF) plots of pulmonary tuberculosis notification series after one nonseasonal and one seasonal difference (A). The ACF and PACF plots of residuals of the ARIMA (0,1,2) (0,1,1)12 model (B).

Figure 3 ACF and PACF plots. The autocorrelation function (ACF) and partial autocorrelation function (PACF) plots of pulmonary tuberculosis notification series after one nonseasonal and one seasonal difference (A). The ACF and PACF plots of residuals of the ARIMA (0,1,2) (0,1,1)12 model (B).

Table 2 Comparison of the fitting and forecasting performance of the two models

Figure 4 Fitting and forecasting curves of the ARIMA and BPNN models compared with the actual notification rate of pulmonary tuberculosis.

Figure 4 Fitting and forecasting curves of the ARIMA and BPNN models compared with the actual notification rate of pulmonary tuberculosis.

Table S1 AICc and BIC values of plausible ARIMA models

Table S2 Estimation of parameters of the ARIMA (0,1,2) (0,1,1)12 model

Table S3 MSE value of the testing set for each BPNN model

Table S4 Results of the ARIMA model and BPNN model in predicting the notification rate of pulmonary tuberculosis in 2016 stratified by gender and age (1/100,000)

Table S5 Comparison of the ARIMA model and the BPNN model in predicting the notification rate of pulmonary tuberculosis stratified by gender and age