Abstract
Hydrological analyses based on precipitation records in the Amazon are essential due to their importance in climate regulation and regional and global atmospheric circulation. However, there are limitations related to data series with short periods and many gaps and failures at the daily scale. Thus, a hybrid model was developed based on an artificial neural network (ANN) and adaptive neuro-fuzzy inference system (ANFIS) coupled with the maximum overlap discrete wavelet (MODWT) method to obtain precipitation estimates. Six rainfall gauge stations located in different biomes within the studied region were adopted, and satellite data (CMORPH) were used. The interval of data that was have used is 1998–2016. The precipitation data were evaluated by seasonal (wet and dry) periods. The results obtained demonstrated the good capacity of the MODWT-ANFIS model to simulate the daily precipitation. In this case, data entries lagged by 4 days and 5 days performed better, with Nash values close to 1.0 and mean square errors (MSE) below 0.1.
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References
Addison, P. S., Murray, K. B., & Watson, J. N. (2001). Wavelet transform analysis of open channel wake flows. Journal of Engineering Mechanics, 127(1), 58–70. https://doi.org/10.1061/(ASCE)0733-9399(2001)127:1(58)
Altunkaynak, A., & Nigussie, T. A. (2015). Prediction of daily rainfall by a hybrid wavelet-season-neuro technique. Journal of Hydrology, 529, 287–301. https://doi.org/10.1016/j.jhydrol.2015.07.046
Ahmadlou, M., Karimi, M., Alizadeh, S., Shirzadi, A., Parvinnejhad, D., Shahabi, H., & Panahi, M. (2019). Flood susceptibility assessment using integration of adaptive network-based fuzzy inference system (ANFIS) and biogeography-based optimization (BBO) and BAT algorithms (BA). Geocarto International, 34(11), 1252–1272. https://doi.org/10.1080/10106049.2018.1474276
Bašta, M. (2014). Additive decomposition and boundary conditions in wavelet-based forecasting approaches. Acta Oeconomica Pragensia, 22(12), 48–70. https://doi.org/10.18267/j.aop.431
Cannas, B., Fanni, A., See, L., & Sias, G. (2006). Data preprocessing for river flow forecasting using neural networks: Wavelet transforms and data partitioning. Physics and Chemistry of the Earth Parts a/b/c, 31(18), 1164–1171. https://doi.org/10.1016/j.pce.2006.03.020
Chai, T., & Draxler, R. R. (2014). Root mean square error (RMSE) or mean absolute error (MAE)? – Arguments against avoiding RMSE in the literature. Geoscientific Model Development, 7(3), 1247–1250. https://doi.org/10.5194/gmd-7-1247-2014
Choubin, B., Khalighi-Sigaroodi, S., Malekian. A., Kişi, Ö. (2016). Multiple linear regression, multi-layer perceptron network and adaptive neuro-fuzzy inference system for forecasting precipitation based on large-scale climate signals. Hydrological Sciences Journal 61(6), 1001–1009. https://doi.org/10.1080/02626667.2014.966721
Ciemer, C., Boers, N., Barbosa, H. M., Kurths, J., & Rammig, A. (2018). Temporal evolution of the spatial covariability of rainfall in South America. Climate Dynamics, 51(1–2), 371–382. https://doi.org/10.1007/s00382-017-3929-x
Costa, V., Fernandes, W., & Naghettini, M. (2015). A Bayesian model for stochastic generation of daily precipitation using an upper-bounded distribution function. Stochastic Environmental Research and Risk Assessment, 29(2), 563–576. https://doi.org/10.1007/s00477-014-0880-9
Daubechies, I. (1992). Ten lectures on wavelet. Society for Industrial and Applied Mathematics, Philadelphia. https://doi.org/10.1137/1.9781611970104
Davidson, E. A., de Araújo, A. C., Artaxo, P., Balch, J. K., Brown, I. F., Bustamante, M. M. C., & Wofsy, S. C. (2012). The Amazon basin in transition. Nature, 481, 321–328. https://doi.org/10.1038/nature10717
Detzel, D. H. M., & Mine, M. R. M. (2011). Generation of daily synthetic precipitation series: Analyses and application in La Plata river basin. The Open Hydrology Journal, 5, 69–77. https://doi.org/10.2174/1874378101105010069
Du, K., Zhao, Y., & Lei, J. (2017). The incorrect usage of singular spectral analysis and discrete wavelet transform in hybrid models to predict hydrological time series. Journal of Hydrology., 552, 44–51. https://doi.org/10.1016/j.jhydrol.2017.06.019
Ebrahimi-Khusfi, Z., Taghizadeh-Mehrjardi, R., & Nafarzadegan, A. R. (2021). Accuracy, uncertainty, and interpretability assessments of ANFIS models to predict dust concentration in semi-arid regions. Environmental Science and Pollution Research, 28(6), 6796–6810. https://doi.org/10.1007/s11356-020-10957-z
Fahimi, F., Yaseen, Z. M., & El-shafie, A. (2017). Application of soft computing based hybrid models in hydrological variables modeling: A comprehensive review. Theoretical and Applied Climatology, 128, 875–903. https://doi.org/10.1007/s00704-016-1735-8
Hammad, M., Shoaib, M., Salahudin, H., Baig, M. A. I., Khan, M. M., Ullah, M. K. (2021). Rainfall forecasting in upper Indus basin using various artificial intelligence techniques. Stochastic Environmental Research and Risk Assessment, 1-23.https://doi.org/10.1007/s00477-021-02013-0
Haykin, S. (2007). Redes neurais: Princípios e prática. Bookman publishing company.
He, X., Guan, H., & Qin, J. (2015). A hybrid wavelet neural network model with mutual information and particle swarm optimization for forecasting monthly rainfall. Journal of Hydrology, 527, 88–100. https://doi.org/10.1016/j.jhydrol.2015.04.047
Holdefer, A. E., & Severo, D. L. (2015). Análise por ondaletas sobre níveis de rios submetidos à influência de maré. Revista Brasileira De Recursos Hídricos, 20(1), 192–201. https://doi.org/10.21168/rbrh.v20n1.p192-201
Honorato, A. G. S. M., Silva, G. B. L., & Guimarães Santos, C. A. (2018). Monthly streamflow forecasting using neuro-wavelet techniques and input analysis. Hydrological Sciences Journal, 63, 2060–2075. https://doi.org/10.1080/02626667.2018.1552788
Hu, C., Wu, Q., Li, H., Jian, S., Li, N., Lou, Z. (2018). Deep learning with a long short-term memory networks approach for rainfall-runoff simulation. Water 10(11), 1543. https://doi.org/10.3390/w10111543
IBGE. (2010). Instituto Brasileiro de Geografia e Estatística. http://www.ibge.gov.br/home/. Acessed 20 Feb 2021
Islam, M. N., & Sivakumar, B. (2002). Characterization and prediction of runoff dynamics: A nonlinear dynamical view. Advancer in Water Resources, 25(2), 179–190. https://doi.org/10.1016/S0309-1708(01)00053-7
Jang, J. S. (1993). ANFIS: Adaptive-network-based fuzzy inference system. IEEE Transactions on Systems, Man, and Cybernetics, 23(3), 665–685. https://doi.org/10.1109/21.256541
Jiménez, K. Q., & Collischonn, W. (2015). Método de combinação de dados de precipitação estimados por satélite e medidos em pluviômetros para a modelagem hidrológica. Revista Brasileira De Recursos Hídricos, 20(1), 202–217.
Kim, S., Alizamir, M., Kim, N. W., & Kisi, O. (2020). Bayesian model averaging: A unique model enhancing forecasting accuracy for daily streamflow based on different antecedent time series. Sustainability, 12(22), 9720. https://doi.org/10.3390/su12229720
Lima, M., da Silva Junior, C. A., Rausch, L., Gibbs, H. K., & Johann, J. A. (2019). Demystifying sustainable soy in Brazil. Land Use Policy, 82, 349–352. https://doi.org/10.1016/j.landusepol.2018.12.016
Liu, Y., Zhang, W., Shao, Y., & Zhang, K. (2011). A comparison of four precipitation distribution models used in daily stochastic models. Advances in Atmospheric Sciences, 28, 809–820. https://doi.org/10.1007/s00376-010-9180-6
Maheswaran, R., & Khosa, R. (2012). Comparative study of different wavelets for hydrologic forecasting. Computers & Geosciences, 46, 284–295. https://doi.org/10.1016/j.cageo.2011.12.01
Mapbiomas. (2016). Mapa de Limite dos Biomas 1:1.000.000. https://mapbiomas.org/pages/database/reference_maps. Acessed 20 Feb 2021
Mehr, A. D., Kahya, E., Bagheri, F., & Deliktas, E. (2014). Successive-station monthly streamflow prediction using neuro-wavelet technique. Earth Science Informatics, 7, 217–229. https://doi.org/10.1007/s12145-013-0141-3
Mendonça, L.M., de Souza, I. G., de Sousa, J. V., Blanco, C. J. C. (2021). Modelagem chuva-vazão via redes neurais artificiais para simulação de vazões de uma bacia hidrográfica da Amazônia. Revista de Gestão de Água da América Latina 18(2021), https://doi.org/10.21168/rega.v18e2
Michot, V., Arvor, D., Ronchail, J., Corpetti, T., Jegou, N., Lucio, P. S., & Dubreuil, V. (2019). Validation and reconstruction of rain gauge–based daily time series for the entire Amazon basin. Theoretical and Applied Climatology, 138, 759–775. https://doi.org/10.1007/s00704-019-02832-w
Nash, J. E., & Sutcliffe, J. V. (1970). River flow forecasting through conceptual models part I—A discussion of principles. Journal of Hydrology, 10, 282–290. https://doi.org/10.1016/0022-1694(70)90255-6
Nerantzaki, S. D., & Papalexiou, S. M. (2019). Tails of extremes: Advancing a graphical method and harnessing big data to assess precipitation extremes. Advances in Water Resources, 134, 103448. https://doi.org/10.1016/j.advwatres.2019.103448
Ng, J. L., Aziz, S. A., Huang, Y. F., Wayayok, A., & Rowshon, M. K. (2017). Generation of a stochastic precipitation model for the tropical climate. Theoretical and Applied Climatology, 133, 489–509. https://doi.org/10.1007/s00704-017-2202-x
Nourani, V., Baghanam, A. H., Adamowski, J., & Kisi, O. (2014). Applications of hybrid wavelet–artificial intelligence models in hydrology: A review. Journal of Hydrology, 514, 358–377. https://doi.org/10.1016/j.jhydrol.2014.03.057
Nourani, V., Andalib, G., & Sadikoglu, F. (2017). Multi-station streamflow forecasting using wavelet denoising and artificial intelligence models. Procedia Computer Science, 120, 617–624. https://doi.org/10.1016/j.procs.2017.11.287
Partal, T., Cigizoglu, H. K., & Kahya, E. (2015). Daily precipitation predictions using three different wavelet neural network algorithms by meteorological data. Stochastic Environmental Research and Risk Assessment, 29(5), 1317–1329. https://doi.org/10.1007/s00477-015-1061-1
Pham, B. T., Le, L. M., Le, T. T., Bui, K. T. T., Le, V. M., Ly, H. B., & Prakash, I. (2020). Development of advanced artificial intelligence models for daily rainfall prediction. Atmospheric Research, 237, 104845. https://doi.org/10.1016/j.atmosres.2020.104845
Quilty, J., Adamowski, J., Khalil, B., & Rathinasamy, M. (2016). Bootstrap rank-ordered conditional mutual information (broCMI): A nonlinear input variable selection method for water resources modeling. Water Resources Research, 52(3), 2299–2326. https://doi.org/10.1002/2015WR016959
Ramana, R. V., Krishna, B., Kumar, S. R., & Pandey, N. G. (2013). Monthly rainfall prediction using wavelet neural network analysis. Water Resources Management, 27, 3697–3711. https://doi.org/10.1007/s11269-013-0374-4
Ramírez-Hernández, J., Infante-Prieto, S. O., Villa-Angulo, R., & Hallack-Alegría, M. (2016). La influencia del efecto de borde en el pronóstico de precipitaciones utilizando DWT diádica, MODWT, ANN y ANFIS. Tecnología y Ciencias Del Agua, 7(3), 93–113.
Roy, B., & Singh, M. P. (2020). An empirical-based rainfall-runoff modelling using optimization technique. International Journal of River Basin Management, 18(1), 49–67. https://doi.org/10.1080/15715124.2019.1680557
Salman, A. G., Heryadi, Y., Abdurahman, E., & Suparta, W. (2018). Single layer & multi-layer long short-term memory (LSTM) model with intermediate variables for weather forecasting. Procedia Computer Science, 135, 89–98. https://doi.org/10.1016/j.procs.2018.08.153
Santos, C. A., Freire, P. K., Silva, R. M. D., & Akrami, S. A. (2019). Hybrid wavelet neural network approach for daily inflow forecasting using tropical rainfall measuring mission data. Journal of Hydrologic Engineering, 24(2), 04018062. https://doi.org/10.1061/(ASCE)HE.1943-5584.0001725
Santos, T. S., Mendes, D., & Torres, R. R. (2016). Artificial neural networks and multiple linear regression model using principal components to estimate rainfall over South America. Nonlinear Processes in Geophysics, 23(1), 13–20. https://doi.org/10.5194/npg-23-13-2016
Seera, M., Lim, C. P., Ishak, D., & Singh, H. (2012). Fault detection and diagnosis of induction motors using motor current signature analysis and a hybrid FMM–CART model. IEEE Transactions on Neural Networks and Learning Systems, 23(1), 97–108. https://doi.org/10.1109/tnnls.2011.2178443
Shoaib, M., Shamseldin, A. Y., Melville, B. W., & Khan, M. M. (2016). A comparison between wavelet based static and dynamic neural network approaches for runoff prediction. Journal of Hydrology, 535, 211–225. https://doi.org/10.1016/j.jhydrol.2016.01.076
Shoaib, M., Shamseldin, A. Y., Khan, S., Khan, M. M., Khan, Z. M., Sultan, T., & Melville, B. W. (2018). A comparative study of various hybrid wavelet feedforward neural network models for runoff forecasting. Water Resources Management, 32(12), 83–103. https://doi.org/10.1007/s11269-017-1796-1
Silveira, L. G. T. D., Correia, F. W. S., Chou, S. C., Lyra, A., Gomes, W. B., Vergasta, L., & Silva, P. R. T. (2017). Reciclagem de precipitação e desflorestamento na Amazônia: Um estudo de modelagem numérica. Revista Brasileira De Meteorologia, 32(3), 417–432. https://doi.org/10.1590/0102-77863230009
Suhaila, J., Ching-Yee, K., Fadhilah, Y., & Hui-Mean, F. (2011). Introducing the mixed distribution in fitting rainfall data. Open Journal of Modern Hydrology, 1(2), 11–22. https://doi.org/10.4236/ojmh.2011.12002
Sulaiman, S. O., Shiri, J., Shiralizadeh, H., Kisi, O., & Yaseen, Z. M. (2018). Precipitation pattern modeling using cross-station perception: Regional investigation. Environmental Earth Sciences, 77(19), 709. https://doi.org/10.1007/s12665-018-7898-0
Takagi, T., & Sugeno, M. (1985). Fuzzy identification of systems and its applications to modeling and control. IEEE Transactions on Systems, Man, and Cybernetics, 15(1), 116–132. https://doi.org/10.1109/TSMC.1985.6313399
Vale, P., Gibbs, H., Vale, R., Christie, M., Florence, E., Munger, J., & Sabaini, D. (2019). The expansion of intensive beef farming to the Brazilian Amazon. Global Environmental Change, 57, 101922. https://doi.org/10.1016/j.gloenvcha.2019.05.006
Wilks, D. S. (1999). Interannual variability and extreme-value characteristics of several stochastic daily precipitation models. Agricultural and Forest Meteorology, 93(3), 153–169. https://doi.org/10.1016/S0168-1923(98)00125-7
Zhang, X., Peng, Y., Zhang, C., & Wang, B. (2015). Are hybrid models integrated with data preprocessing techniques suitable for monthly streamflow forecasting? Some experiment evidences. Journal of Hydrology, 530, 137–152. https://doi.org/10.1016/j.jhydrol.2015.09.047
Zeri, M., Cunha-Zeri, G., Gois, G., Lyra, G. B., & Oliveira-Júnior, J. F. (2018). Exposure assessment of rainfall to interannual variability using the wavelet transform. International Journal of Climatology, 39(1), 568–578. https://doi.org/10.1002/joc.5812
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The authors thank ANA and NOAA for providing the precipitation data.
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Coordination for the Improvement of Higher Education Personnel of Brasil (CAPES), Finance Code 001. CNPq for funding the research with a productivity grant (Process 303542/2018–7). CNPq for funding the research with a productivity grant (Process 309681/2019–7). Office for research (PROPESP) and Foundation for Research Development (FADESP) of the Federal University of Pará through grant nº PAPQ 2021.
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Gomes, E.P., Blanco, C.J.C., da Silva Holanda, P. et al. MODWT-ANN hybrid models for daily precipitation estimates with time-delayed entries in Amazon region. Environ Monit Assess 194, 296 (2022). https://doi.org/10.1007/s10661-022-09939-0
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DOI: https://doi.org/10.1007/s10661-022-09939-0