Abstract
Indonesia, as a tropical country, continues to face mosquito-borne diseases, particularly Dengue Fever (DF), transmitted by the Aedes aegypti mosquito. This disease remains a significant public health issue, with fluctuating but generally high incidence rates across various regions. MARS (Multivariate Adaptive Regression Splines) is a non-parametric regression method that is adaptive in modeling non-linear relationships between dependent and independent variables and is capable of capturing interactions among independent variables. The best MARS model is one that has the lowest Generalized Cross Validation (GCV) and Mean Square Error (MSE) values. This study employs a quantitative approach using secondary data obtained from the 2023 Indonesia Health Survey Report. The MARS model for Dengue Fever prevalence in Indonesia is as follows: Y = 0.522 + 0.157 × BF1 – 0.046 × BF3 + 0.272 × BF8 + 0.038 × BF10 – 0.018 × BF12. The proportion of households without trash bins is the most influential factor affecting Dengue Fever prevalence in Indonesia, with an importance level of 100%. This is followed by the proportion of households not implementing mosquito control efforts, with an importance level of 37.811%, and the proportion of households without handwashing facilities, with an importance level of 35.669%. By inserting the Basis Function values into the model equation, it was concluded that the Dengue Fever prevalence in East Java Province (Y = 0.3881) is lower compared to the national prevalence in Indonesia (Y = 0.522) because variables X3 and X5 have lower values.
References
Almeida, L., Duprez, M., Privat, Y., & Vauchelet, N. (2022). Optimal control strategies for the sterile mosquitoes technique. Journal of Differential Equations, 311, 229–266. https://doi.org/10.1016/j.jde.2021.12.002
Bekar Adiguzel, M., & Cengiz, M. A. (2023). Model selection in multivariate adaptive regressions splines (MARS) using alternative information criteria. Heliyon, 9(9), e19964.
https://doi.org/10.1016/j.heliyon.2023.e19964
Bhatt, S., Gething, P. W., Brady, O. J., Messina, J. P., Farlow, A. W., Moyes, C. L., Drake, J. M., Brownstein, J. S., Hoen, A. G., Sankoh, O., Myers, M. F., George, D. B., Jaenisch, T., William Wint, G. R., Simmons, C. P., Scott, T. W., Farrar, J. J., & Hay, S. I. (2013). The global distribution and burden of dengue. Nature, 496(7446), 504–507. https://doi.org/10.1038/nature12060
Brady, O. J., Gething, P. W., Bhatt, S., Messina, J. P., Brownstein, J. S., Hoen, A. G., Moyes, C. L., Farlow, A. W., Scott, T. W., & Hay, S. I. (2012). Refining the Global Spatial Limits of Dengue Virus Transmission by Evidence-Based Consensus. PLoS Neglected Tropical Diseases, 6(8). https://doi.org/10.1371/journal.pntd.0001760
El Raheim Mohammed Donia, A., Ibrahim Alqasoumi, S., Mahmoud Radwan, A., Burand, J., & Craker, L. E. (2012). Phytochemical screening and insecticidal activity of three plants from Chenopodiaceae family. Journal of Medicinal Plants Research, 6(48), 5863–5867. https://doi.org/10.5897/JMPR11.1629
Erlanger, T. E., Keiser, J., & Utzinger, J. (2008). Effect of dengue vector control interventions on entomological parameters in developing countries: A systematic review and meta-analysis. Medical and Veterinary Entomology, 22(3), 203–221. https://doi.org/10.1111/j.1365-2915.2008.00740.x
Gubler, D. J. (2011). Dengue, Urbanization and globalization: The unholy trinity of the 21 st century. Tropical Medicine and Health, 39(4 SUPPL.), 3–11. https://doi.org/10.2149/tmh.2011-S05
Harapan, H., Michie, A., Mudatsir, M., Sasmono, R. T., & Imrie, A. (2019). Epidemiology of dengue hemorrhagic fever in Indonesia: Analysis of five decades data from the National Disease Surveillance. BMC Research Notes, 12(1), 4–9. https://doi.org/10.1186/s13104-019-4379-9
Hastie, T. et. all. (2009). Springer Series in Statistics The Elements of Statistical Learning. The Mathematical Intelligencer, 27(2), 83–85.
James, G., Witten, D., Hastie, T., & Tibshirani, R. (2013). Springer Texts in Statistics An Introduction to Statistical Learning - with Applications in R.
Leta, S., Beyene, T. J., De Clercq, E. M., Amenu, K., Kraemer, M. U. G., & Revie, C. W. (2018). Global risk mapping for major diseases transmitted by Aedes aegypti and Aedes albopictus. International Journal of Infectious Diseases, 67, 25–35. https://doi.org/10.1016/j.ijid.2017.11.026
Messina, J. P., Brady, O. J., Scott, T. W., Zou, C., Pigott, D. M., Duda, K. A., Bhatt, S., Katzelnick, L., Howes, R. E., Battle, K. E., Simmons, C. P., & Hay, S. I. (2014). Global spread of dengue virus types: Mapping the 70 year history. Trends in Microbiology, 22(3), 138–146. https://doi.org/10.1016/j.tim.2013.12.011
Morin, C. W., Comrie, A. C., & Ernst, K. (2013). Climate and dengue transmission: Evidence and implications. Environmental Health Perspectives, 121(11–12), 1264–1272. https://doi.org/10.1289/ehp.1306556
Park, S., Hamm, S. Y., Jeon, H. T., & Kim, J. (2017). Evaluation of logistic regression and multivariate adaptive regression spline models for groundwater potential mapping using R and GIS. Sustainability (Switzerland), 9(7). https://doi.org/10.3390/su9071157
Rosenblatt, M. (1991). Institute of Mathematical Statistics is collaborating with JSTOR to digitize, preserve, and extend access to The Annals of Statistics. ® www.jstor.org. Annals of Statistics, 19(3), 1403–1433.
Sabancı, D., & Cengiz, M. A. (2022). Random Ensemble MARS: Model Selection in Multivariate Adaptive Regression Splines Using Random Forest Approach. Journal of New Theory, 40(40), 27–45. https://doi.org/10.53570/jnt.1147323
Sriningsih, R., Otok, B. W., & Sutikno. (2023). Determination of the best multivariate adaptive geographically weighted generalized Poisson regression splines model employing generalized cross-validation in dengue fever cases. MethodsX, 10(April), 102174. https://doi.org/10.1016/j.mex.2023.102174
Troyo, A., Fuller, D. O., Calderón-Arguedas, O., Solano, M. E., & Beier, J. C. (2009). Urban structure and dengue incidence in Puntarenas, Costa Rica. Singapore Journal of Tropical Geography, 30(2), 265–282. https://doi.org/10.1111/j.1467-9493.2009.00367.x
Utarini, A., Indriani, C., Ahmad, R. A., Tantowijoyo, W., Arguni, E., Ansari, M. R., Supriyati, E., Wardana, D. S., Meitika, Y., Ernesia, I., Nurhayati, I., Prabowo, E., Andari, B., Green, B. R., Hodgson, L., Cutcher, Z., Rancès, E., Ryan, P. A., O’Neill, S. L., … Simmons, C. P. (2021). Efficacy of Wolbachia-Infected Mosquito Deployments for the Control of Dengue. New England Journal of Medicine, 384(23), 2177–2186. https://doi.org/10.1056/nejmoa2030243
Vanlerberghe, V., Villegas, E., Oviedo, M., Baly, A., Lenhart, A., McCall, P. J., & van der Stuyft, P. (2011). Evaluation of the effectiveness of insecticide treated materials for household level dengue vector control. PLoS Neglected Tropical Diseases, 5(3), 1–9. https://doi.org/10.1371/journal.pntd.0000994
World Health Organization. (2023). Dengue and severe dengue. World Health Organization.

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