SARFIMA model prediction for infectious diseases: application to hemorrhagic fever with renal syndrome and comparing with SARIMA

Abstract Background The early warning model of infectious diseases plays a key role in prevention and control. This study aims to using seasonal autoregressive fractionally integrated moving average (SARFIMA) model to predict the incidence of hemorrhagic fever with renal syndrome (HFRS) and comparin...

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Main Authors: Chang Qi, Dandan Zhang, Yuchen Zhu, Lili Liu, Chunyu Li, Zhiqiang Wang, Xiujun Li
Format: Article
Language:English
Published: BMC 2020-09-01
Series:BMC Medical Research Methodology
Subjects:
Online Access:http://link.springer.com/article/10.1186/s12874-020-01130-8
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author Chang Qi
Dandan Zhang
Yuchen Zhu
Lili Liu
Chunyu Li
Zhiqiang Wang
Xiujun Li
author_facet Chang Qi
Dandan Zhang
Yuchen Zhu
Lili Liu
Chunyu Li
Zhiqiang Wang
Xiujun Li
author_sort Chang Qi
collection DOAJ
description Abstract Background The early warning model of infectious diseases plays a key role in prevention and control. This study aims to using seasonal autoregressive fractionally integrated moving average (SARFIMA) model to predict the incidence of hemorrhagic fever with renal syndrome (HFRS) and comparing with seasonal autoregressive integrated moving average (SARIMA) model to evaluate its prediction effect. Methods Data on notified HFRS cases in Weifang city, Shandong Province were collected from the official website and Shandong Center for Disease Control and Prevention between January 1, 2005 and December 31, 2018. The SARFIMA model considering both the short memory and long memory was performed to fit and predict the HFRS series. Besides, we compared accuracy of fit and prediction between SARFIMA and SARIMA which was used widely in infectious diseases. Results Model assessments indicated that the SARFIMA model has better goodness of fit (SARFIMA (1, 0.11, 2)(1, 0, 1)12: Akaike information criterion (AIC):-631.31; SARIMA (1, 0, 2)(1, 1, 1)12: AIC: − 227.32) and better predictive ability than the SARIMA model (SARFIMA: root mean square error (RMSE):0.058; SARIMA: RMSE: 0.090). Conclusions The SARFIMA model produces superior forecast performance than the SARIMA model for HFRS. Hence, the SARFIMA model may help to improve the forecast of monthly HFRS incidence based on a long-range dataset.
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spelling doaj.art-dc7c2ee3c4a64b55966167f0bbe9160a2022-12-21T23:42:23ZengBMCBMC Medical Research Methodology1471-22882020-09-012011710.1186/s12874-020-01130-8SARFIMA model prediction for infectious diseases: application to hemorrhagic fever with renal syndrome and comparing with SARIMAChang Qi0Dandan Zhang1Yuchen Zhu2Lili Liu3Chunyu Li4Zhiqiang Wang5Xiujun Li6Department of Biostatistics, School of Public Health, Cheeloo College of Medicine, Shandong UniversityDepartment of Biostatistics, School of Public Health, Cheeloo College of Medicine, Shandong UniversityDepartment of Biostatistics, School of Public Health, Cheeloo College of Medicine, Shandong UniversityDepartment of Biostatistics, School of Public Health, Cheeloo College of Medicine, Shandong UniversityDepartment of Biostatistics, School of Public Health, Cheeloo College of Medicine, Shandong UniversityInstitute of Infectious Disease Control and Prevention, Shandong Center for Disease Control and PreventionDepartment of Biostatistics, School of Public Health, Cheeloo College of Medicine, Shandong UniversityAbstract Background The early warning model of infectious diseases plays a key role in prevention and control. This study aims to using seasonal autoregressive fractionally integrated moving average (SARFIMA) model to predict the incidence of hemorrhagic fever with renal syndrome (HFRS) and comparing with seasonal autoregressive integrated moving average (SARIMA) model to evaluate its prediction effect. Methods Data on notified HFRS cases in Weifang city, Shandong Province were collected from the official website and Shandong Center for Disease Control and Prevention between January 1, 2005 and December 31, 2018. The SARFIMA model considering both the short memory and long memory was performed to fit and predict the HFRS series. Besides, we compared accuracy of fit and prediction between SARFIMA and SARIMA which was used widely in infectious diseases. Results Model assessments indicated that the SARFIMA model has better goodness of fit (SARFIMA (1, 0.11, 2)(1, 0, 1)12: Akaike information criterion (AIC):-631.31; SARIMA (1, 0, 2)(1, 1, 1)12: AIC: − 227.32) and better predictive ability than the SARIMA model (SARFIMA: root mean square error (RMSE):0.058; SARIMA: RMSE: 0.090). Conclusions The SARFIMA model produces superior forecast performance than the SARIMA model for HFRS. Hence, the SARFIMA model may help to improve the forecast of monthly HFRS incidence based on a long-range dataset.http://link.springer.com/article/10.1186/s12874-020-01130-8Seasonal autoregressive fractionally integrated moving average modelSeasonal autoregressive integrated moving average modelHemorrhagic fever with renal syndromeGoodness of fitPrediction
spellingShingle Chang Qi
Dandan Zhang
Yuchen Zhu
Lili Liu
Chunyu Li
Zhiqiang Wang
Xiujun Li
SARFIMA model prediction for infectious diseases: application to hemorrhagic fever with renal syndrome and comparing with SARIMA
BMC Medical Research Methodology
Seasonal autoregressive fractionally integrated moving average model
Seasonal autoregressive integrated moving average model
Hemorrhagic fever with renal syndrome
Goodness of fit
Prediction
title SARFIMA model prediction for infectious diseases: application to hemorrhagic fever with renal syndrome and comparing with SARIMA
title_full SARFIMA model prediction for infectious diseases: application to hemorrhagic fever with renal syndrome and comparing with SARIMA
title_fullStr SARFIMA model prediction for infectious diseases: application to hemorrhagic fever with renal syndrome and comparing with SARIMA
title_full_unstemmed SARFIMA model prediction for infectious diseases: application to hemorrhagic fever with renal syndrome and comparing with SARIMA
title_short SARFIMA model prediction for infectious diseases: application to hemorrhagic fever with renal syndrome and comparing with SARIMA
title_sort sarfima model prediction for infectious diseases application to hemorrhagic fever with renal syndrome and comparing with sarima
topic Seasonal autoregressive fractionally integrated moving average model
Seasonal autoregressive integrated moving average model
Hemorrhagic fever with renal syndrome
Goodness of fit
Prediction
url http://link.springer.com/article/10.1186/s12874-020-01130-8
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