Estimating relative risk for dengue disease in Peninsular Malaysia using INLA

Authors

  • Nurul Syafiah Abd Naeeim SCHOOL OF MATHEMATICAL SCIENCES, UNIVERSITI SAINS MALAYSIA http://orcid.org/0000-0002-5180-5701
  • Nuzlinda Abdul Rahman SCHOOL OF MATHEMATICAL SCIENCES, UNIVERSITI SAINS MALAYSIA

DOI:

https://doi.org/10.11113/mjfas.v0n0.575

Keywords:

Spatio-temporal analysis, Disease mapping, Bayesian estimation, GLMM, INLA

Abstract

Study in spatio-temporal disease mapping models give a great worth in epidemiology, in describing the pattern of disease incidence across geographical space and time. This paper studies generalized linear mixed models (GLMM) for the analysis of spatial and temporal variability of dengue disease rates. For spatio-temporal study, the models accommodate spatially correlated random effects as well as temporal effects together with the space time interaction. The space time interaction is used to capture any additional effects that are not explained by the main factors of space and time. However, as study including time dimension is quite complex for disease mapping, the temporal effects that only relate to structured and unstructured time pattern are considered in these models as initial screening in studying disease pattern and time trend. The models are fitted within a hierarchical Bayesian framework using Integrated Nested Laplace Approximation (INLA) methodology. For this study, there are three main objectives. First, to choose the best model that represent the disease phenomenon. Second, to estimate the relative risk of disease based on the model selected and lastly, to visualize the risk spatial pattern and temporal trend using graphical representation. The models are applied to monthly dengue fever data in Peninsular Malaysia reported to Ministry of Health Malaysia for year 2015 by district level.

References

Assunção, R. M., Reis, I. A., Oliveira, C. D. L. 2001. Diffusion and prediction of Leishmaniasis in a large metropolitan area in Brazil with a Bayesian space–time model. Statistics in Medicine. 20, 2319-2335.

Bernardinelli, L., Clayton, D., Montomoli, C. 1995a. Bayesian estimates of disease maps: How important are priors? Statistics in Medicine 14, 2411-2431.

Bernardinelli, L., Clayton, D., Pascutto, C., Montomoli, C., Ghislandi, M. 1995b. Bayesian analysis of space-time variation in disease risk. Statistics in Medicine. 14, 2433-2443.

Besag, J., York, J., Mollié, A. 1991. Bayesian image restoration, with two applications in spatial statistics. Annals of the Institute of Statistical Mathematics. 43, 1-20.

Clayton, D., Kaldor, J. 1987. Empirical Bayes estimates of age-standardized relative risks for use in disease mapping. Biometrics. 43, 671-681.

Kang, S. Y., Cramb, S. M., White, N. M., Ball, S. J., Mengersen, K. L. 2016. Making the most of spatial information in health: a tutorial in Bayesian disease mapping for areal data. Geospatial Health. 11, 190-198.

Knorr-Held, L. 2000. Bayesian modelling of inseparable space-time variation in disease risk. Statistics in Medicine. 19, 2555-2567.

Lahiri, P., Maiti, T. 2000. Empirical Bayes estimation of relative risks in disease mapping. University of Nebraska Technical Report.

Leroux, B. G., Lei, X., Breslow, N.. Estimation of disease rates in small areas: a new mixed model for spatial dependence. Statistical Models in Epidemiology, the Environment, and Clinical Trials. Springer New York, 2000. 179-191.

MacNab, Y. C., Farrel, P. J., Gustafson, P., Wen, S. 2004. Estimation in Bayesian disease mapping. Biometrics. 60, 865-873.

Marshall, R. J. 1991. Mapping disease and mortality rates using empirical Bayes estimators. Applied Statistics. 40, 283–

Martínez‐Beneito, M. A., López‐Quilez, A., Botella‐Rocamora, P. 2008. An autoregressive approach to spatio‐temporal disease mapping. Statistics in medicine. 27, 2874-2889.

Martins, T. G., Simpson, D., Lindgren, F., Rue, H. 2013. Bayesian computing with INLA: New features. Computational Statistics and Data Analysis. 67, 68-83.

Mia, M. S., Begum, R. A., Er, A., Abidin, R. D. Z. R. Z., Pereira, J. J. 2013. Trends of dengue infections in Malaysia, 2000-2010. Asian Pacific Journal of Tropical Medicine. 6, 462-466.

Pang, E., Loh, H. 2016. Current perspectives on dengue episode in Malaysia. Asian Pacific Journal of Tropical Medicine. 9, 395-401.

Richardson, S., Thomson, A., Best, N., Elliot, P. 2004. Interpreting posterior relative risk estimates in disease-mapping studies. Environmental Health Perspectives. 112, 1016-1025.

Rue, H., Martino, S. 2007. Approximate Bayesian inference for hierarchical Gaussian Markov random field models. Journal of statistical planning and inference. 137, 3177-3192.

Rue, H., Martino, S., Chopin, N. 2009. Approximate Bayesian inference for latent Gaussian models by using integrated nested Laplace approximations. Journal of Royal Stat Society B. 71, 319-392.

Schrödle, B., Held, L. 2011. Spatio temporal disease mapping using INLA. Environmetrics. 22, 725-734.

Shafie, A., Rainis, R., Ahmad, A. H. Sistem maklumat geografi dalam kajian demam denggi di Malaysia. Penerbit Universiti Malaya, 2015.

Spiegelhalter, D., Best, N., Carlin, B., van der Linde, A. 2002. Bayesian measures of model complexity and fit (with discussion). Journal of the Royal Statistical Society, Series B. 64, 583-639.

Ugarte, M. D., Adin, A., Goicoa, T., Militino, A. F. 2014. On fitting spatio-temporal disease mapping models using approximate Bayesian inference. Statistical Methods in Medical Research. 23, 507-530.

Ugarte, M. D., Goicoa, T., Ibáñez, B., Militino, A. F. 2014. Evaluating the performance of spatio-temporal Bayesian models in disease mapping. Environmetrics. 20, 647-665.

Wakefield, J., 2007. Disease mapping and spatial regression with count data. Biostatistics. 8, 158-183.

Downloads

Published

26-12-2017