Bayesian Tweedie Compound Poisson Gamma (TCPG) modeling for statistical downscaling of rainfall in West Java, Indonesia
DOI:
https://doi.org/10.54386/jam.v27i4.3182Keywords:
Bayesian, Bias correction, Dummy variables, Rainfall, Statistical downscaling, Tweedie Compound Poisson Gamma (TCPG)Abstract
Global climate models (GCM) are effective in representing climate processes at the global scale; however, they often exhibit biases and limited accuracy at the local scale. This limitation is particularly critical in monsoon-dominated regions such as West Java, where statistical downscaling (SD) provides an appropriate approach. This research aims to predict monthly rainfall in West Java using the Bayesian Tweedie Compound Poisson Gamma (TCPG) model with combined scenarios of bias correction and dummy variables. Bias correction used empirical quantile mapping (EQM) with CHIRPS data. Monthly rainfall as the response variable was modelled using a Bayesian TCPG regression, with parameter estimation performed through Bayesian Markov chain Monte Carlo (MCMC) using the Metropolis Hastings algorithm. The best model scenario was achieved using dummy variables without bias correction, with CNRM-ESM2-1 identified as the most effective Decadal Climate Prediction Project (DCPP) model. These findings enhance rainfall prediction accuracy in tropical monsoon regions and support agricultural and water resource planning in West Java.
References
Annisa F., Raupong, and Sahriman S. (2023). Performa Model Statistical Downscaling dengan Peubah Dummy Berdasarkan K-Means dan Average Linkage. ESTIMASI: J. Stat. Appl., 4(2): 165-175. https:// doi.org/10.20956/ejsa.v4i2.12658
Bonat, W. H., and Kokonendji, C. C. (2017). Flexible Tweedie regression models for continuous data. J. Stat. Comput. Simul., 87(11): 2138–2152. https://doi.org/10.1080/00949655.2017.1318876
Dewanti, D., Djuraidah, A., Sartono, B., and Sopaheluwakan, A. (2024). Bias correction and ensemble techniques in statistical downscaling model for rainfall prediction using Tweedie-LASSO in West Java, Indonesia. J. Agrometeorol., 26(3): 324–330. https://doi.org/10.54386/jam.v26i3.2614
Dunn, P. K. (2004). Occurrence and quantity of precipitation can be modelled simultaneously. Int. J. Climatol., 24(10): 1231-1239. https://doi.org/10.1002/joc.1063
Dzupire, N. C., Ngare, P., and Odongo, L. (2018). A Poisson-Gamma model for zero inflated rainfall data. J. Probab. Stat., (1012647): 1-12. https://doi.org/10.1155/2018/1012647
Gudmundsson, L., Bremnes, J. B., Haugen, J. E., and Skaugen, T. E. (2012). Technical note: downscaling RCM precipitation to the station scale using quantile mapping – a comparison of methods. Hydrol. Earth Syst. Sci. Discuss., 9: 6185–6201. https://doi.org/10.5194/hessd-9-6185-2012
Hasan, M.M. and Dunn, P.K. (2010). A simple Poisson-gamma model for modelling rainfall occurrence and amount simultaneously. Agric. Forest Meteorol.. 150(10): 1319–1330.
Hayati, M., Wigena, A. H., Djuraidah, A., and Kurnia, A. (2021). A new approach to statistical downscaling using Tweedie compound Poisson Gamma respone and lasso regularization. Commun. Math. Biol. Neurosci., 2021(60): 1-16. https://doi.org/10.28919/cmbn/5936
Qian, W., Yang, Y., and Zou, H. (2016). Tweedie’s compound Poisson model with grouped elastic net. J. Comput. Graph. Stat., 25(2): 606-625. https://doi.org/10.1080/10618600.2015.1005213
Sahriman, S. and Yulianti, AS. (2023). Statistical Downscaling Model with Principal Component Regression and Latent Root Regression to Forecast Rainfall in Pangkep Regency. BAREKENG: J. Math. App., 17(1): 401-410.
Sativa, O., Djuraidah, A., and Notodiputro, K.A. (2025). Ensemble Methods in Statistical Downscaling with Gamma-LASSO Regression for Rainfall Prediction in West Java. Journal of Mathematics, Computations, and Statistics, 8(1): 244-258.
Shweta Panjwani, S. Naresh Kumar, and Laxmi Ahuja. (2020). Simulation performance of selected global and regional climate models for temperature and rainfall in some locations in India. J. Agrometeorol., 22(4): 407–418. https://doi.org/10.54386/jam.v22i4.443
Soleh, A.M., Wigena, A.H., Djuraidah, A., and Saefuddin, A. (2015). Statistical downscaling to predict monthly rainfall using generalized linier model with gamma distribution. Informatika Pertanian, 24(2): 215-222.
Tasiyah, L.A., Sutriono, R., and, Silawibawa, I.P. (2024). Analisis Tipe Iklim Berdasarkan Curah Hujan Pada Beberapa Kecamatan di Kabupaten Lombok Barat. J. Soil Qual. Manag., 1(1): 67-72.
Yunus, M., Saefuddin, A., and Soleh, A.M. (2020). Pemodelan Statistical Downscaling dengan LASSO dan Group LASSO untuk Pendugaan Curah Hujan. Indonesian J. Stat. Appl., 4(4): 649 – 660.
Yunus, R.M., Hasan, M.M., and Zubairi, Y.Z. (2017). Fitting monthly Peninsula Malaysian rainfall using Tweedie distribution. J Phys Conf Ser, 890 (1). DOI: 10.1088/1742-6596/890/1/012164
Zhang, Y. (2013). Likelihood-based and Bayesian methods for Tweedie compound Poisson linear mixed models. Stat Comp., 23(6) :743–757. doi:10.1007/s11222-012-9343-7.
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