Research Article | | Peer-Reviewed

Comparative Study of INGARCH and SARIMA in Modeling and Forecasting Dengue Cases

Received: 3 October 2023    Accepted: 26 October 2023    Published: 7 November 2023
Views:       Downloads:
Abstract

A crucial focus of public health surveillance systems is to provide reliable forecasts of epidemiological time series. This work utilized data collected through a national public health surveillance system in Thailand to evaluate and compare the performance of a seasonal autoregressive integrated moving average and an Integer generalized autoregressive conditionally heteroscedastic model for modeling and forecasting case occurrence of dengue. The comparison uses weekly reported cases of dengue hemorrhagic fever in Amnat Charoen province Thailand, from January 1st, 2006, to October 7th, 2017 (612 weeks). The results from the in-sample evaluation using the root mean square error and mean absolute error as well as a visual inspection of predicted values show that the two approaches are adequate tools for use in epidemiological surveillance as there is no significant difference in their forecast accuracy for in-sample performance. The incorporation of the weather variables improves the predictive performance of the models and from the model coefficients the study findings reveal that there is a positive relationship between temperature and rainfall and the occurrence of dengue. Overall, the findings in this study support the usefulness of the two approaches as effective tools practitioners can utilize for monitoring and for providing early warning signals of potential outbreaks of epidemics.

Published in American Journal of Theoretical and Applied Statistics (Volume 12, Issue 6)
DOI 10.11648/j.ajtas.20231206.11
Page(s) 150-160
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Infectious Disease Modeling, Dengue Cases, Count Time Series, SARIMA, INGARCH, Forecasting

References
[1] Akermi, S. E., L’Hadj, M., and Selmane, S. (2022). Epidemiology and time series analysis of human brucellosis in tebessa province, algeria, from 2000 to 2020. Journal of Research in Health Sciences, 22(1): e00544.
[2] Alfred, R. and Obit, J. H. (2021). The roles of machine learning methods in limiting the spread of deadly diseases: A systematic review. Heliyon, 7(6).
[3] Amshi, A. H. and Prasad, R. (2023). Time series analysis and forecasting of cholera disease using discrete wavelet transform and seasonal autoregressive integrated moving average model. Scientific African, 20: e01652.
[4] Anokye, R., Acheampong, E., Owusu, I., and Isaac Obeng, E. (2018). Time series analysis ofmalaria in kumasi: Using arima models to forecast future incidence. Cogent social sciences, 4(1): 1461544.
[5] Bracher, J. and Held, L. (2022). Endemic-epidemic models with discrete-time serial interval distributions for infectious disease prediction. International Journal of Forecasting, 38(3): 1221–1233.
[6] Brauer, F. (2017). Mathematical epidemiology: Past, present, and future. Infectious Disease Modelling, 2(2): 113–127.
[7] Carcione, J. M., Santos, J. E., Bagaini, C., and Ba, J. (2020). A simulation of a covid-19 epidemic based on a deterministic seir model. Frontiers in public health, 8: 230.
[8] Chadsuthi, S., Modchang, C., Lenbury, Y., Iamsirithaworn, S., and Triampo, W. (2012). Modeling seasonal leptospirosis transmission and its association with rainfall and temperature in thailand using time–series and arimax analyses. Asian Pacific journal of tropical medicine, 5(7): 539–546.
[9] Chen, Z., Feng, L., Lay Jr, H. A., Furati, K., and Khaliq, A. (2022). Seir model with unreported infected population and dynamic parameters for the spread of covid-19. Mathematics and computers in simulation, 198: 31–46.
[10] Daniyal, M., Tawiah, K., Muhammadullah, S., and Opoku-Ameyaw, K. (2022). Comparison of conventional modeling techniques with the neural network autoregressive model (nnar): application to covid-19 data. Journal of Healthcare Engineering, 2022.
[11] Emmanuel, S., Sathasivam, S., Ali, M. K. M., Kee, T., and Ling, Y. (2023). Estimating the transmission dynamics of dengue fever in subtropical malaysia using seir model. Journal of Quality Measurement and Analysis JQMA, 19(2): 45–56.
[12] Fokianos, K., Rahbek, A., and Tjøstheim, D. (2009). Poisson autoregression. Journal of the American Statistical Association, 104(488): 1430–1439.
[13] Fokianos, K. and Tjøstheim, D. (2011). Log-linear poisson autoregression. Journal of multivariate analysis, 102(3): 563–578.
[14] Imai, C., Armstrong, B., Chalabi, Z., Mangtani, P., and Hashizume, M. (2015). Time series regression model for infectious disease and weather. Environmental research, 142: 319–327.
[15] Kamalov, F., Rajab, K., Cherukuri, A., Elnagar, A., and Safaraliev, M. (2022). Deep learning for covid-19 forecasting: state-of-the-art review. Neurocomputing.
[16] Khan, F. M. and Gupta, R. (2020). Arima and nar based prediction model for time series analysis of covid-19 cases in india. Journal of Safety Science and Resilience, 1(1): 12–18.
[17] Lee, H. S., Her, M., Levine, M., and Moore, G. E. (2013). Time series analysis of human and bovine brucellosis in south korea from 2005 to 2010. Preventive Veterinary Medicine, 110(2): 190–197.
[18] Liboschik, T. (2016). Modeling count time series following generalized linear models.
[19] Liu, J., Yu, F., and Song, H. (2023). Application of sarima model in forecasting and analyzing inpatient cases of acute mountain sickness. BMC Public Health, 23(1): 1–7.
[20] Luz, P. M., Mendes, B. V., Codec¸o, C. T., Struchiner, C. J., Galvani, A. P., et al. (2008). Time series analysis of dengue incidence in rio de janeiro, brazil.
[21] Mahajan, A., Sharma, N., Aparicio-Obregon, S., Alyami, H., Alharbi, A., Anand, D., Sharma, M., and Goyal, N. (2022). A novel stacking-based deterministic ensemble model for infectious disease prediction. Mathematics, 10(10): 1714.
[22] Permanasari, A. E., Rambli, D. R. A., and Dominic, P. D. D. (2011). Performance of univariate forecasting on seasonal diseases: the case of tuberculosis. In Software Tools and algorithms for biological systems, pages 171–179. Springer.
[23] Punyapornwithaya, V., Mishra, P., Sansamur, C., Pfeiffer, D., Arjkumpa, O., Prakotcheo, R., Damrongwatanapokin, T., and Jampachaisri, K. (2022). Time-series analysis for the number of foot and mouth disease outbreak episodes in cattle farms in thailand using data from 2010–2020. Viruses, 14(7): 1367.
[24] Soebiyanto, R. P., Adimi, F., and Kiang, R. K. (2010). Modeling and predicting seasonal influenza transmission in warm regions using climatological parameters. PloS one, 5(3): e9450.
[25] Van Tinh, N. (2020). Forecasting of covid-19 confirmed cases in vietnam using fuzzy time series model combined with particle swarm optimization. Comput Res Prog Appl Sci Eng, 6(2): 114–120.
[26] Wangdi, K., Singhasivanon, P., Silawan, T., Lawpoolsri, S., White, N. J., and Kaewkungwal, J. (2010). Development of temporal modelling for forecasting and prediction of malaria infections using time-series and arimax analyses: a case study in endemic districts of bhutan. Malaria Journal, 9(1): 1–9.
[27] Woyesa, S. B. and Amente, K. D. (2023). Hepatitis c virus dynamic transmission models among people who inject drugs. Infection and Drug Resistance, pages 1061–1068.
[28] Xue, L., Ren, X., Sun, W., Zheng, X., Peng, Z., and Singh, B. (2023). Seasonal transmission dynamics and optimal control strategies for tuberculosis in jiangsu province, china. Mathematical Methods in the Applied Sciences, 46(2): 2072–2092.
Cite This Article
  • APA Style

    Kariuki, F. W., Wanjoya, A. K., Malenje, B. M. (2023). Comparative Study of INGARCH and SARIMA in Modeling and Forecasting Dengue Cases. American Journal of Theoretical and Applied Statistics, 12(6), 150-160. https://doi.org/10.11648/j.ajtas.20231206.11

    Copy | Download

    ACS Style

    Kariuki, F. W.; Wanjoya, A. K.; Malenje, B. M. Comparative Study of INGARCH and SARIMA in Modeling and Forecasting Dengue Cases. Am. J. Theor. Appl. Stat. 2023, 12(6), 150-160. doi: 10.11648/j.ajtas.20231206.11

    Copy | Download

    AMA Style

    Kariuki FW, Wanjoya AK, Malenje BM. Comparative Study of INGARCH and SARIMA in Modeling and Forecasting Dengue Cases. Am J Theor Appl Stat. 2023;12(6):150-160. doi: 10.11648/j.ajtas.20231206.11

    Copy | Download

  • @article{10.11648/j.ajtas.20231206.11,
      author = {Frasiah Wambui Kariuki and Anthony Kibira Wanjoya and Bonface Miya Malenje},
      title = {Comparative Study of INGARCH and SARIMA in Modeling and Forecasting Dengue Cases},
      journal = {American Journal of Theoretical and Applied Statistics},
      volume = {12},
      number = {6},
      pages = {150-160},
      doi = {10.11648/j.ajtas.20231206.11},
      url = {https://doi.org/10.11648/j.ajtas.20231206.11},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajtas.20231206.11},
      abstract = {A crucial focus of public health surveillance systems is to provide reliable forecasts of epidemiological time series. This work utilized data collected through a national public health surveillance system in Thailand to evaluate and compare the performance of a seasonal autoregressive integrated moving average and an Integer generalized autoregressive conditionally heteroscedastic model for modeling and forecasting case occurrence of dengue. The comparison uses weekly reported cases of dengue hemorrhagic fever in Amnat Charoen province Thailand, from January 1st, 2006, to October 7th, 2017 (612 weeks). The results from the in-sample evaluation using the root mean square error and mean absolute error as well as a visual inspection of predicted values show that the two approaches are adequate tools for use in epidemiological surveillance as there is no significant difference in their forecast accuracy for in-sample performance. The incorporation of the weather variables improves the predictive performance of the models and from the model coefficients the study findings reveal that there is a positive relationship between temperature and rainfall and the occurrence of dengue. Overall, the findings in this study support the usefulness of the two approaches as effective tools practitioners can utilize for monitoring and for providing early warning signals of potential outbreaks of epidemics.
    },
     year = {2023}
    }
    

    Copy | Download

  • TY  - JOUR
    T1  - Comparative Study of INGARCH and SARIMA in Modeling and Forecasting Dengue Cases
    AU  - Frasiah Wambui Kariuki
    AU  - Anthony Kibira Wanjoya
    AU  - Bonface Miya Malenje
    Y1  - 2023/11/07
    PY  - 2023
    N1  - https://doi.org/10.11648/j.ajtas.20231206.11
    DO  - 10.11648/j.ajtas.20231206.11
    T2  - American Journal of Theoretical and Applied Statistics
    JF  - American Journal of Theoretical and Applied Statistics
    JO  - American Journal of Theoretical and Applied Statistics
    SP  - 150
    EP  - 160
    PB  - Science Publishing Group
    SN  - 2326-9006
    UR  - https://doi.org/10.11648/j.ajtas.20231206.11
    AB  - A crucial focus of public health surveillance systems is to provide reliable forecasts of epidemiological time series. This work utilized data collected through a national public health surveillance system in Thailand to evaluate and compare the performance of a seasonal autoregressive integrated moving average and an Integer generalized autoregressive conditionally heteroscedastic model for modeling and forecasting case occurrence of dengue. The comparison uses weekly reported cases of dengue hemorrhagic fever in Amnat Charoen province Thailand, from January 1st, 2006, to October 7th, 2017 (612 weeks). The results from the in-sample evaluation using the root mean square error and mean absolute error as well as a visual inspection of predicted values show that the two approaches are adequate tools for use in epidemiological surveillance as there is no significant difference in their forecast accuracy for in-sample performance. The incorporation of the weather variables improves the predictive performance of the models and from the model coefficients the study findings reveal that there is a positive relationship between temperature and rainfall and the occurrence of dengue. Overall, the findings in this study support the usefulness of the two approaches as effective tools practitioners can utilize for monitoring and for providing early warning signals of potential outbreaks of epidemics.
    
    VL  - 12
    IS  - 6
    ER  - 

    Copy | Download

Author Information
  • Department of Statistics and Actuarial Science, Jomo Kenyatta University of Agriculture and Technology, Nairobi, Kenya

  • Department of Statistics and Actuarial Science, Jomo Kenyatta University of Agriculture and Technology, Nairobi, Kenya

  • Department of Statistics and Actuarial Science, Jomo Kenyatta University of Agriculture and Technology, Nairobi, Kenya

  • Sections