The Comparison between Standardized Mortality Ratio, Poisson-Gamma and Stochastic Sic Model for Pneumonia Disease Mapping in Malaysia
DOI:
https://doi.org/10.32890/jict2022.21.4.4Keywords:
Disease mapping, Poisson-gamma, pneumonia, SIC model, SMRAbstract
Pneumonia is one of the primary causes of death from infectious diseases. Traditionally, its spread has been tracked based on the
total number of cases reported, with no concern for geographical distribution. Disease mapping is among the ways public health and
the government can monitor diseases as a preventative strategy. Clear pictures of the risk areas can be seen using this method. Relative risk estimation is a significant part of disease mapping that needs to be considered when studying disease occurrence. This paper aimed to estimate the relative risk values for pneumonia based on three models and compare the results. The approaches used in this study were Standardized Morbidity Ratio (SMR), Poisson-gamma, and discrete time-space stochastic Susceptible-Infected-Carriers (SIC) models, which were applied in estimating the relative risk values. Results showed that Kuala Lumpur was classified as a very low-risk area for pneumonia incidence when using the SMR and Poisson-gamma models. In contrast, Selangor was identified as a very low-risk area when using the discrete time-space stochastic SIC model. Putrajaya was categorised as a very high-risk area in the results of all three types of methods. In conclusion, this stochastic SIC model demonstrated better performance than the conventional models.
References
Awang, A. C. (2017). The development of stochastic SIR-SI age-structured model for leptospirosis mapping in Malaysia (Master’s thesis, Universiti Pendidikan Sultan Idris, Tanjung Malim. Perak, Malaysia). https://ir.upsi.edu.my/detailsg. php?det=5750
Awang, A. C., & Samat, N. A. (2017, May). Standardized morbidity ratio for leptospirosis mapping in Malaysia. In AIP Conference Proceedings (Vol. 1847, No. 1, p. 020006). AIP Publishing LLC. https://doi.org/10.1063/1.4983861
Alhdiri, M. A., Samat, N. A., & Mohamed, Z. (2017). Risk estimation for lung cancer in Libya: Analysis based on Standardized Morbidity Ratio, Poisson-gamma model, BYM model and mixture model. Asian Pasific Journal of Cancer Prevention, 18(3), 673–679. https://doi.org/10.22034/APJCP.2017.18.3.673
Assab, R., Nekkab, N., Crépey, P., Astagneau, P., Guillemot, D., Opatowski, L., & Temime, L. (2017). Mathematical models of infection transmission in healthcare settings: Recent advances from the use of network structured data. Current Opinion in Infectious Diseases, 30(4), 410–418. http://doi: 10.1097/ QCO.0000000000000390.
Besag, J., York, J., & Mollie, A. (1991). Bayesian image restoration with two applications in spatial statistics. Annals of the Institute of Statistical Mathematics, 43, 1–59. Journal of ICT, 21, No. 4 (October) 2022, pp: 549–
Department of Statistics Malaysia. (2019). Statistics on causes of death, Malaysia, 2019. Department of Statistics Malaysia. https ://www.dosm.gov.my/v1/index.php?r=column/ cthemeByCat&cat=401&bul_id=RUxlSDNkcnRVazJnakNCN VN2VGgrdz09&menu_id=L0pheU43NWJwRWVSZklWdzQ 4TlhUUT09
Department of Survey and Mapping Malaysia. (2017). Keluasan Malaysia, 2017. data.gov.my. https://www.data.gov.my/data/ ms_MY/dataset/keluasan-malaysia/resource/a04e46de-5044-4081-b6cc-7853a46439b
Diah, I. M., Aziz, N., & Ahmad, N. (2016). Relative risk estimation of tuberculosis with standardized morbidity ratio in Malaysia. Global Journal of Pure and Applied Mathematics, 12(5), 4011–4019.
Diah, I. M., Aziz, N., & Kasim, M. M. (2017). A comparison of four disease mapping techniques as applied to TB diseases in Malaysia. Journal of Telecommunication, Electronic and Computer Engineering, 9(2), 133–137.
Diah, I. M., & Aziz, N. (2021). Mapping of pneumonia disease in Malaysia using Poisson-gamma model. Annals of the Romanian Society for Cell Biology, 25(1), 2062–2067. https://www. annalsofrscb.ro/index.php/journal/article/view/324
Doura, K., Melendez-morales, J. D., Meyer, G. G., & Perez, L. E. (2000). An S-I-S model of streptococcal disease with a class of beta-hemolytic carriers. Biometric Unit Technical Reports, 493–518.
Kassa, M., & Murthy, S. N. (2016). Pneumonia control measures under five year children. IOSR Journal of Mathematics (IOSR-JM), 12(3), 64–70. https://doi.org/10.9790/5728-1203036470
Kristiani, F., Parahyangan, U. K., & Samat, N. A. (2016). Dengue disease mapping in Bandung, Indonesia: An analysis based on Poisson-gamma, Log-normal, BYM and mixture models. Jurnal Teknologi (Sciences & Engineering), 78(6–5). http://doi.org/10.11113/jt.v78.8991
Lawson, A. B., Browne, W. J., & Rodeiro, C. L. V., (2003). Disease mapping with WinBUGS and MLwiN. Statistics in Practise. Chichester: John Wiley & Sons, Ltd.
Lawson, A. B. (2006). Statistical methods in spatial epidemiology. Wet Sussex, UK: John Wiley & Sons, Ltd.
Mayo Clinic. (2020). Pneumonia. Mayo Clinic. https://www. mayoclinic.org/diseases-conditions/pneumonia/symptoms-causes/syc-20354204 Journal of ICT, 21, No. 4 (October) 2022, pp: 549–
Mbabazi, F. K., Mugisha, J. Y. T., & Kimathi, M. (2019). Hopf-Bifurcation analysis of pneumococcal pneumonia with time delays. Abstract and Applied Analysis, 2019(January). https://doi.org/10.1155/2019/3757036
Mcbryde, E. (2006). Mathematical and statistical modelling of infectious diseases in hospitals. Sciences-New York, 10(November), 777–782. https://doi.org/10.1093/nar/gkr403
Melegaro, A., Gay, N. J., & Medley, G. F. (2004). Estimating the transmission parameters of pneumococcal carriage in households. Epidemiology and Infection, 132(3), 433–441. https://doi.org/10.1017/S0950268804001980
Meza, J. L. (2003) Empirical Bayes estimation smoothing of relative risks in disease mapping. Journal of Statistical Planning and Inference, 112, 43–62. https://doi.org/10.1016/S0378-3758(02)00322-1
Ministry of Health Malaysia. (2019). Laporan tahunan Kementerian Kesihatan Malaysia 2019. Ministry of Health Malaysia. https://www.moh.gov.my/moh/resources/Penerbitan/Penerbitan%20 U t a m a / A N N U A L % 2 0 R E P O RT / L A P O R A N % 2 0 TAHUNAN%20KKM%202019/mobile/index.html#p=1
Molzon, R. (2009, May). Deterministic approximation of stochastic evolutionary dynamics. In Proceedings of the 2009 International Conference on Game Theory for Networks, GameNets ’09 (pp. 323–332). IEEE.
Ndelwa, E. J., Kgosimore, M., Massawe, E. S., & Namkinga, L. (2015). Mathematical modelling and analysis of treatment and screening of pneumonia. Mathematical Theory and Modeling, 5(10), 21–40.
Normandin, B. (2021, November 10). All you need to know about pneumonia. healthline. https://www.healthline.com/health/ pneumonia
Otieno, O. J., Joseph, M., & John, O. (2012, November). Mathematical model for pneumonia dynamics among children. In The 2012 Southern Africa Mathematical Sciences Association Conference, (SAMSA) (pp. 26–29). https://su-plus.strathmore. edu/bitstream/handle/11071/3615/Mathematical Model for Pneumonia Dynamics paper.pdf?sequence=1&isAllowed=y
Samat, N. A. (2012). Mathematical models for vector-borne infectious disease mapping with application to dengue disease in Malaysia. (Doctoral dissertation, University of Salford, Manchester, UK). Journal of ICT, 21, No. 4 (October) 2022, pp: 549–
Samat, N. A., & Percy, D. F. (2012, September). Dengue disease mapping in Malaysia based on stochastic SIR models in human populations. In ICSSBE 2012 - Proceedings, 2012 International Conference on Statistics in Science, Business and Engineering: “Empowering Decision Making with Statistical Sciences” (pp. 623–627). http://doi:10.1109/ICSSBE.2012.6396640
Samat, N. A., & Imam, S. H. M. (2013). Dengue disease mapping with standardized morbidity ratio and Poisson-gamma model: an analysis of dengue disease in Perak, Malaysia. International Journal of Mathematical and Computational Sciences, 7(8), 640–644. http://doi.org/10.5281/zenodo.1086703
Seramo, R. K., Awol, S. M., Wabe, Y. A., & Ali, M. M. (2022). Determinants of pneumonia among children attending public health facilities in Worabe town. Scientific Reports, 12(1), 6175. https://doi.org/10.1038/s41598-022-10194-z
Smith, T., Lehmann, D., Montgomery, J., Gratten, M., Riley, I. D., & Alpers, M. P. (1993). Acquisition and invasiveness of different serotypes of streptococcus pneumoniae in young children. Epidemiology and Infection, 111(1), 27–39. https://doi.org/10.1017/S0950268800056648
Soliman, B. W. M., & Bueno, A. C. F. (2018). Modelling the spread of pneumonia in the Philippines using Susceptible-Infected-Recovered (SIR) model with demographic changes. Journal of Technology Management and Business, 5(1), 28–35.
Spiegelhalter, D. J., Best N. G., Carlin B. P., & van der Linde, A. (2002). Bayesian measures of model complexity and fit. Journal Royal Statistical Society: Series B (Statistical Methodology), 64, 583–616. http://doi:10.1111/1467-9868.00353
Spiegelhalter D. J., Best N. G., Carlin B. P., & van der Linde, A. (2014). The deviance information criterion: 12 years on. Journal Royal Statistics Society: Series B (Statistical Methodology), 76(3), 485–493. http://doi:10.1111/rssb.12062
Tilahun, G. T., Makinde, O. D., & Malonza, D. (2017). Modelling and optimal control of pneumonia disease with cost-effective strategies. Journal of Biological Dynamics, 11, 400–426. https://doi.org/10.1080/17513758.2017.1337245
UNICEF. (2019). Pneumonia: A child dies of pneumonia every 39 seconds. UNICEF Data. https://data.unicef.org/topic/child-health/pneumonia/
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