Pemodelan Spasio-Temporal HIV/AIDS dan Hepatitis B & C di Jawa Tengah Menggunakan Model Bayesian Multivariat

  • Elza Ully Tiara Tampubolon Universitas Pertahanan Republik Indonesia
  • Bagus Kusuma Universitas Pertahanan Republik Indonesia
Keywords: HIV/AIDS; Hepatitis B and C; Multivariate Bayesian; Spatio-Temporal; Central Java

Abstract

HIV/AIDS serta Hepatitis B dan C merupakan penyakit menular yang hingga saat ini masih menjadi permasalahan serius dalam kesehatan masyarakat, mengingat tingginya beban morbiditas dan mortalitas serta kesamaan jalur penularannya. Di Provinsi Jawa Tengah, jumlah kasus kedua penyakit ini tergolong signifikan dengan pola sebaran yang tidak merata antar kabupaten/kota, sehingga memerlukan pendekatan analisis yang mampu menangkap variasi spasial dan temporal secara simultan. Penelitian ini bertujuan untuk menganalisis pola risiko HIV/AIDS dan Hepatitis B & C menggunakan Bayesian Multivariate Spatio-Temporal Model dengan pendekatan Integrated Nested Laplace Approximation (INLA). Data yang digunakan bersumber dari BPJS Kesehatan periode 2019–2023 yang mencakup 35 kabupaten/kota di Jawa Tengah. Hasil evaluasi model menunjukkan bahwa kombinasi prior spasial pCAR, prior temporal RW1, serta interaksi spasio-temporal Type I memberikan kinerja terbaik, ditunjukkan oleh nilai DIC sebesar 4007,37, WAIC sebesar 3925,16, dan Log Score sebesar 11113,66. Analisis korelasi mengindikasikan adanya hubungan spasial positif yang cukup kuat antara HIV/AIDS dan Hepatitis B & C, yang menunjukkan kecenderungan wilayah berisiko tinggi pada satu penyakit juga berisiko tinggi pada penyakit lainnya. Sebaliknya, korelasi temporal teridentifikasi lemah dan tidak konsisten, mencerminkan perbedaan dinamika waktu kedua penyakit. Pemetaan risiko relatif mengungkap klaster wilayah berisiko tinggi yang berulang pada beberapa kabupaten/kota tertentu. Temuan ini menegaskan efektivitas pendekatan Bayesian multivariat sebagai dasar perumusan kebijakan intervensi kesehatan berbasis wilayah.

References

Beard, N., & Hill, A. (2024). Combined “Test and Treat” Campaigns for Human Immunodeficiency Virus, Hepatitis B, and Hepatitis C: A Systematic Review to Provide Evidence to Support World Health Organization Treatment Guidelines. Open Forum Infectious Diseases, 11(2). https://doi.org/10.1093/ofid/ofad666

Blangiardo, M., Cameletti, M., Baio, G., & Rue, H. (2013). Spatial and spatio-temporal models with R-INLA. Spatial and Spatio-Temporal Epidemiology, 4, 33–49.

Botella-Rocamora, P., Mart’inez-Beneito, M. A., & Banerjee, S. (2015). A unifying modeling framework for highly multivariate disease mapping. Statistics in Medicine, 34(9), 1548–1559. https://doi.org/10.1002/sim.6423

Cheng, Z., Lin, P., & Cheng, N. (2021). HBV/HIV Coinfection: Impact on the Development and Clinical Treatment of Liver Diseases. In Frontiers in Medicine (Vol. 8). Frontiers Media S.A. https://doi.org/10.3389/fmed.2021.713981

Fauk, N. K., Gesesew, H. A., Mwanri, L., Hawke, K., & Ward, P. R. (2023). Understanding the quality of life of people living with HIV in rural and urban areas in Indonesia. PLoS ONE, 18(7 July). https://doi.org/10.1371/journal.pone.0280087

Gelman, A., Hwang, J., & Vehtari, A. (2013). Understanding predictive information criteria for Bayesian models. http://arxiv.org/abs/1307.5928

Huang, Y., & others. (2021). Bayesian spatio-temporal modeling of HIV/AIDS in Zhejiang Province, China. BMC Infectious Diseases, 21(100), 1–12. https://doi.org/10.1186/s12879-020-05706-1

Joseph Mattingly Neha S Pandit Eberechukwu Onukwugha, T. I. (n.d.). Burden of Co-Infection: A Cost Analysis of Human Immunodeficiency Virus in a Commercially Insured Hepatitis C Virus Population. https://doi.org/10.6084/m9.figshare.7745429

Kanda, T., Goto, T., Hirotsu, Y., Moriyama, M., & Omata, M. (2019). Molecular mechanisms driving progression of liver cirrhosis towards hepatocellular carcinoma in chronic hepatitis B and C infections: A review. In International Journal of Molecular Sciences (Vol. 20, Issue 6). MDPI AG. https://doi.org/10.3390/ijms20061358

Li, X., & others. (2019). Spatio-temporal analysis of hepatitis B in China using Bayesian models. International Journal of Environmental Research and Public Health, 16(3), 468. https://doi.org/10.3390/ijerph16030468

Marin, R. C., Tit, D. M., Bungău, G., & Moleriu, R. D. (2025). The Impact of Hepatitis B and/or C on Liver Function and on the Response to Antiretroviral Therapy in HIV-Infected Patients: A Romanian Cohort Study. Pharmaceuticals, 18(5). https://doi.org/10.3390/ph18050688

Mart’inez-Beneito, M. A., Goicoa, T., & Ugarte, M. D. (2021). High-dimensional multivariate disease mapping with Bayesian hierarchical models. Spatial and Spatio-Temporal Epidemiology, 36, 100406. https://doi.org/10.1016/j.sste.2020.100406

Mohammadi, M., Talei, G., Sheikhian, A., Ebrahimzade, F., Pournia, Y., Ghasemi, E., & Boroun, H. (2009). Survey of both Hepatitis B Virus (HBsAg) and Hepatitis C Virus (HCV-Ab) coinfection among HIV positive patients. Virology Journal, 6. https://doi.org/10.1186/1743-422X-6-202

Orozco-Acosta, E., Adin, A., & Ugarte, M. D. (2023). Big problems in spatio-temporal disease mapping: methods and software. Computer Methods and Programs in Biomedicine, 231, 107403.

Otiende, V. A., Achia, T. N., & Mwambi, H. G. (2020). Bayesian hierarchical modeling of joint spatiotemporal risk patterns for Human Immunodeficiency Virus (HIV) and Tuberculosis (TB) in Kenya. PLoS ONE, 15(7). https://doi.org/10.1371/journal.pone.0234456

Palm’i-Perales, F., Goicoa, T., & Ugarte, M. D. (2019). INLAMSM: An R package for multivariate spatial models using INLA. Journal of Statistical Software, 90(10), 1–30. https://doi.org/10.18637/jss.v090.i10

Qian, J., Yue, M., Huang, P., Ai, L., Zhu, C., Wang, C., Luo, Y., Yue, N., Wu, Y., Zhang, Y., Wang, C., & Tan, W. (2023). Spatiotemporal heterogeneity and impact factors of hepatitis B and C in China from 2010 to 2018: Bayesian space–time hierarchy model. Frontiers in Cellular and Infection Microbiology, 13. https://doi.org/10.3389/fcimb.2023.1115087

Rashti, R., Sharafi, H., Alavian, S. M., Moradi, Y., Bolbanabad, A. M., & Moradi, G. (2020). Systematic review and meta-analysis of global prevalence of HBsAG and HIV and HCV antibodies among people who inject drugs and female sex workers. In Pathogens (Vol. 9, Issue 6). MDPI AG. https://doi.org/10.3390/pathogens9060432

Richardson, S., & others. (2022). Multivariate Bayesian models for rare cancers: Spatio-temporal approaches. Statistical Modelling, 22(4), 267–289. https://doi.org/10.1177/1471082X221083061

Ringehan, M., McKeating, J. A., & Protzer, U. (2017). Viral hepatitis and liver cancer. In Philosophical Transactions of the Royal Society B: Biological Sciences (Vol. 372, Issue 1732). Royal Society Publishing. https://doi.org/10.1098/rstb.2016.0274

Urdangarin Iztueta, A., Goicoa Mangado, T., Kneib, T., & Ugarte Mart’inez, M. D. (2024). A simplified spatial+ approach to mitigate spatial confounding in multivariate spatial areal models.

Van Niekerk, J., Krainski, E., Rustand, D., & Rue, H. (2023). A new avenue for Bayesian inference with INLA. Computational Statistics & Data Analysis, 181, 107692.

Vicente, G., Goicoa, T., & Ugarte, M. D. (2020). Bayesian inference in multivariate spatio-temporal areal models using INLA: Analysis of gender-based violence in India. Stochastic Environmental Research and Risk Assessment, 34(1), 75–89. https://doi.org/10.1007/s00477-019-01728-w

Published
2026-03-25
Section
Articles