Author(s)

Abdul-Karim Iddrisu¹, Abukari Alhassan², Nafiu Amidu³

¹Department of Mathematics and Statistics, University of Energy and Natural Resources, Sunyani, Ghana.
²Department of Statistics, University for Development Studies, Navrongo, Ghana.
³Department of Biomedical Laboratory Sciences, School of Medical and Health Sciences, University for Development Studies, Tamale, Ghana.

Proper understanding of global distribution of infectious diseases is an important part of disease management and policy making. However, data are subject to complexities caused by heterogeneities across host classes and space-time epidemic processes. This paper seeks to suggest or propose Bayesian spatio-temporal model for modeling and mapping tuberculosis relative risks in space and time as well identify risks factors associated with the tuberculosis and counties in Kenya with high tuberculosis relative risks. In this paper, we used spatio-temporal Bayesian hierarchical models to study the pattern of tuberculosis relative risks in Kenya. The Markov Chain Monte Carlo method via WinBUGS and R packages were used for simulations and estimation of the parameter estimates. The best fitting model is selected using the Deviance Information Criterion proposed by Spiegelhalter and colleagues. Among the spatio-temporal models used, the Knorr-Held model with space-time interaction type III and IV fit the data well but type IV appears better than type III. Variation in tuberculosis risk is observed among Kenya counties and clustering among counties with high tuberculosis relative risks. The prevalence of HIV is identified as the determinant of TB. We found clustering and heterogeneity of TB risk among high rate counties and the overall tuberculosis risk is slightly decreasing from 2002-2009. We proposed that the Knorr-Held model with interaction type IV should be used to model and map Kenyan tuberculosis relative risks. Interaction of TB relative risk in space and time increases among rural counties that share boundaries with urban counties with high tuberculosis risk. This is due to the ability of models to borrow strength from neighboring counties, such that nearby counties have similar risk. Although the approaches are less than ideal, we hope that our study provide a useful stepping stone in the development of spatial and spatio-temporal methodology for the statistical analysis of risk from tuberculosis in Kenya.

Bayesian Hierarchical, Deviance Information Criterion, Hot Classes, Heterogeneity, Markov Chain Monte Carlo, Relative Risk, Spatial, and Spatio-Temporal

Iddrisu, A.-K, Alhassan, A. and Amidu, N. (2018) Investigating Spatio-Temporal Pattern of Relative Risk of Tuberculosis in Kenya Using Bayesian Hierarchical Approaches. Journal of Tuberculosis Research, 6, 175-197. doi: 10.4236/jtr.2018.62017.