International Journal of Quantitative Research and Modeling
Vol. 7 No. 2 (2026): International Journal of Quantitative Research and Modeling (IJQRM)

Negative Binomial Regression with Climatic and Sociodemographic Covariates for Modeling Overdispersed Dengue Hemorrhagic Fever Counts: Evidence from Bandung City, Indonesia

Rifki Saefullah (Master'
s Program of Mathematics, Faculty of Mathematics and Natural Sciences, Universitas Padjadjaran, Jatinangor, West Java, Indonesia)

Natasya Tamarysma Putri (Management Study Program, Faculty of Economics and Business, Universitas Informatika Dan Bisnis Indonesia, Bandung, Indonesia)
Mugi Lestari (Master'
s Program of Mathematics, Faculty of Mathematics and Natural Sciences, Universitas Padjadjaran, Jatinangor, West Java, Indonesia)



Article Info

Publish Date
03 Jul 2026

Abstract

Dengue Hemorrhagic Fever (DHF) remains one of the most prevalent vector-borne diseases in Indonesia, with Bandung City consistently reporting high annual incidence. Count regression models have been widely applied in disease epidemiology; however, many studies default to Poisson regression without testing for overdispersion, which violates a fundamental modeling assumption when variance exceeds the mean. This study proposes a Negative Binomial Regression (NBR) framework that jointly incorporates climatic variables (monthly rainfall, mean temperature, relative humidity) and sociodemographic covariates (population density, drainage quality index, vegetation cover) to model weekly DHF case counts across 30 sub-districts of Bandung City from 2019 to 2023. Overdispersion was formally assessed using the Cameron-Trivedi test. Incidence Rate Ratios (IRRs) and 95% confidence intervals were estimated for all predictors. Model selection was performed via AIC, BIC, and likelihood ratio tests against a Poisson baseline. Results demonstrate significant overdispersion (dispersion parameter ), confirming the appropriateness of NBR over Poisson regression. Monthly rainfall (IRR = 1.008, p < 0.001), lagged one-week cases ), and population density emerged as significant positive predictors, while drainage quality index was protective. The NBR model achieved substantially lower AIC (2810 vs 3240) and BIC (2820 vs 3245) compared to Poisson. These findings provide quantitative evidence for spatiotemporal DHF surveillance and can guide targeted vector-control resource allocation in urban West Java

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Journal Info

Abbrev

ijqrm

Publisher

Subject

Computer Science & IT Decision Sciences, Operations Research & Management Engineering Environmental Science Physics

Description

International Journal of Quantitative Research and Modeling (IJQRM) is published 4 times a year and is the flagship journal of the Research Collaboration Community (RCC). It is the aim of IJQRM to present papers which cover the theory, practice, history or methodology of Quatitative Research (QR) ...