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Long-term Precipitation Estimation Combining Time-Series Retrospective Forecasting and Downscaling-Calibration Procedure

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Abstract

Long-term precipitation datasets with high spatial resolution are crucial for hydrological, meteorological, and ecological research. However, due to the coarse spatial resolution and relatively short observation period of satellite-derived precipitation, obtaining long-term precipitation data with high spatial resolution remains to be a challenging task. In this study, autoregressive integrated moving average models (ARIMA and ARIMAX) are applied to retrospectively forecast month and annual Tropical Rainfall Measuring Mission (TRMM) precipitation during 1982–1997 at a 0.25°-pixel scale. The downscaling-calibration procedure including geographically weighted regression (GWR) and ten-fold cross-validation geographical difference analysis (10CV-GDA) is employed to obtain long-term precipitation (1982–2018) at high spatial resolution over the Yangtze River Basin (YRB). The precision of supplementary TRMM precipitation generated by ARIMAX is significantly higher than those generated by ARIMA, and supplementary TRMM precipitation is considered suitable for the subsequent downscaling-calibration procedure. The 10CV-GDA calibration significantly improved the precision of the downscaled results in comparison to the results obtained without or with geographical difference analysis (GDA) calibration (coefficients of determination (R2): 0.86, mean absolute error (MAE):106.29 mm, and root mean square error (RMSE): 147.29 mm). The annual downscaled results are disaggregated into 1 km monthly precipitation, and the overall performances of precipitation estimation are excellent (R2: 0.88, MAE: 18.11 mm, RMSE: 31.87 mm). This study provides a novel framework for long-term precipitation estimates at high spatial resolution and has great potential for enhancing the utilizability of satellite-derived precipitation.

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The data and materials that support the findings of this study are available from the corresponding author upon reasonable request.

References

  • Albergel C, Dorigo W, Balsamo G, Muñoz-Sabater J, de Rosnay P, Isaksen LB, de Jeu L, R, Wagner W, (2013) Monitoring multi-decadal satellite earth observation of soil moisture products through land surface reanalyses. Remote Sens Environ 138:77–89

    Article  Google Scholar 

  • Almazroui M (2011) Calibration of TRMM rainfall climatology over Saudi Arabia during 1998–2009. Atmos Res 99:400–414

    Article  Google Scholar 

  • Balsamo G, Albergel C, Beljaars A, Boussetta S, Brun E, Cloke H, Dee D, Dutra E, Muñoz-Sabater J, Pappenberger F, de Rosnay P, Stockdale T, Vitart F (2015) ERA-Interim/Land: a global land surface reanalysis data set. Hydrol Earth Syst Sci 19:389–407

    Article  Google Scholar 

  • Bohnenstengel SI, Schlünzen KH, Beyrich F (2011) Representativity of in situ precipitation measurements – A case study for the LITFASS area in North-Eastern Germany. J Hydrol 400:387–395

    Article  Google Scholar 

  • Box G, Jenkins G (1976) Times series analysis -forecasting and control. Prentice-Hall, Englewood Cliffs

    Google Scholar 

  • Box G, Jenkins G, Reinsel G (1994) Time series analysis: forecasting and control, 3rd edn. Prentice Hall, Englewood Cliffs

    Google Scholar 

  • Brunsdon C, Fotheringham AS, Charlton ME (1996) Geographically Weighted Regression: A Method for Exploring Spatial Nonstationarity. Geographical Analysis 28

  • Cheema MJM, Bastiaanssen WGM (2011) Local calibration of remotely sensed rainfall from the TRMM satellite for different periods and spatial scales in the Indus Basin. Int J Remote Sens 33:2603–2627

    Article  Google Scholar 

  • Chen C, Zhao S, Duan Z, Qin Z (2015) An Improved Spatial Downscaling Procedure for TRMM 3B43 Precipitation Product Using Geographically Weighted Regression. IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing 8:4592–4604

    Article  Google Scholar 

  • Chen F, Liu Y, Liu Q, Li X (2014) Spatial downscaling of TRMM 3B43 precipitation considering spatial heterogeneity. Int J Remote Sens 35:3074–3093

    Article  Google Scholar 

  • Chen H, Chandrasekar V, Tan H, Cifelli R (2019a) Rainfall Estimation From Ground Radar and TRMM Precipitation Radar Using Hybrid Deep Neural Networks. Geophys Res Lett 46:10669–10678

    Article  Google Scholar 

  • Chen S, Zhang L, She D, Chen J (2019b) Spatial Downscaling of Tropical Rainfall Measuring Mission (TRMM) Annual and Monthly Precipitation Data over the Middle and Lower Reaches of the Yangtze River Basin, China. Water: 11

  • Chen Y, Ebert EE, Walsh KJE, Davidson NE (2013) Evaluation of TRMM 3B42 precipitation estimates of tropical cyclone rainfall using PACRAIN data. J Geophys Res Atmos 118:2184–2196

    Article  Google Scholar 

  • Chen Y, Huang J, Sheng S, Mansaray LR, Liu Z, Wu H, Wang X (2018) A new downscaling-integration framework for high-resolution monthly precipitation estimates: Combining rain gauge observations, satellite-derived precipitation data and geographical ancillary data. Remote Sens Environ 214:154–172

    Article  Google Scholar 

  • Díaz-Robles LA, Ortega JC, Fu JS, Reed GD, Chow JC, Watson JG, Moncada-Herrera JA (2008) A hybrid ARIMA and artificial neural networks model to forecast particulate matter in urban areas: The case of Temuco, Chile. Atmos Environ 42:8331–8340

    Article  Google Scholar 

  • Duan Z, Bastiaanssen WGM (2013) First results from Version 7 TRMM 3B43 precipitation product in combination with a new downscaling–calibration procedure. Remote Sens Environ 131:1–13

    Article  Google Scholar 

  • Fick SE, Hijmans RJ (2017) WorldClim 2: new 1-km spatial resolution climate surfaces for global land areas. Int J Climatol 37:4302–4315

    Article  Google Scholar 

  • Funk C, Nicholson SE, Landsfeld M, Klotter D, Peterson P, Harrison L (2015) The Centennial Trends Greater Horn of Africa precipitation dataset. Sci Data 2:150050

    Article  Google Scholar 

  • Fushiki T (2009) Estimation of prediction error by using K-fold cross-validation. Stat Comput 21:137–146

    Article  Google Scholar 

  • Gerlitz L, Conrad O, Böhner J (2015) Large-scale atmospheric forcing and topographic modification of precipitation rates over High Asia – a neural-network-based approach. Earth System Dynamics 6:61–81

    Article  Google Scholar 

  • Hansen MC, Defries RS, Townshend JRG, Sohlberg R (2010) Global land cover classification at 1 km spatial resolution using a classification tree approach. Int J Remote Sens 21:1331–1364

    Article  Google Scholar 

  • He K, Ma Z, Zhao R, Biswas A, Teng H, Xu J, Yu W, Shi Z (2018) A Methodological Framework to Retrospectively Obtain Downscaled Precipitation Estimates over the Tibetan Plateau. Remote Sensing 10

  • Hijmans RJ, Cameron SE, Parra JL, Jones PG, Jarvis A (2005) Very high resolution interpolated climate surfaces for global land areas. Int J Climatol 25:1965–1978

    Article  Google Scholar 

  • Huete A, Didan K, Miura T, Rodriguez EP, Gao X, Ferreira LG (2002) Overview of the radiometric and biophysical performance of the MODIS vegetation indices. Remote Sens Environ 83:195–213

    Article  Google Scholar 

  • Huffman GJ, Bolvin DT, Nelkin EJ, Wolff DB, Adler RF, Gu G, Hong Y, Bowman KP, Stocker EF (2007) The TRMM Multisatellite Precipitation Analysis (TMPA): Quasi-Global, Multiyear, Combined-Sensor Precipitation Estimates at Fine Scales. J Hydrometeorol 8:38–55

    Article  Google Scholar 

  • Hutchinson MF (1995) Interpolating mean rainfall using thin plate smoothing splines. Int J Geogr Inf Syst 9:385–403

    Article  Google Scholar 

  • Immerzeel WW, Rutten MM, Droogers P (2009) Spatial downscaling of TRMM precipitation using vegetative response on the Iberian Peninsula. Remote Sens Environ 113:362–370

    Article  Google Scholar 

  • Jia S, Zhu W, Lű A, Yan T (2011) A statistical spatial downscaling algorithm of TRMM precipitation based on NDVI and DEM in the Qaidam Basin of China. Remote Sens Environ 115:3069–3079

    Article  Google Scholar 

  • Jian L, Zhao Y, Zhu YP, Zhang MB, Bertolatti D (2012) An application of ARIMA model to predict submicron particle concentrations from meteorological factors at a busy roadside in Hangzhou, China. Sci Total Environ 426:336–345

    Article  Google Scholar 

  • Jongjin B, Jongmin P, Dongryeol R, Minha C (2016) Geospatial blending to improve spatial mapping of precipitation with high spatial resolution by merging satellite-based and ground-based data. Hydrol Process 30:2789–2803

    Article  Google Scholar 

  • Khodadoust SS, Saghafian B, Moazami S (2016) Comprehensive evaluation of 3-hourly TRMM and half-hourly GPM-IMERG satellite precipitation products. Int J Remote Sens 38:558–571

    Article  Google Scholar 

  • Kumar R, Singh MP, Roy B, Shahid AH (2021) A Comparative Assessment of Metaheuristic Optimized Extreme Learning Machine and Deep Neural Network in Multi-Step-Ahead Long-term Rainfall Prediction for All-Indian Regions. Water Resour Manage 35:1927–1960

    Article  Google Scholar 

  • Lettenmaier DP, Wood AW, Voisin N (2008) Evaluation of Precipitation Products for Global Hydrological Prediction. J Hydrometeorol 9:388–407

    Article  Google Scholar 

  • Li J, Heap AD (2011) A review of comparative studies of spatial interpolation methods in environmental sciences: Performance and impact factors. Eco Inform 6:228–241

    Article  Google Scholar 

  • Li M, Shao Q (2010) An improved statistical approach to merge satellite rainfall estimates and raingauge data. J Hydrol 385:51–64

    Article  Google Scholar 

  • Liu Q, McVicar TR, Yang Z, Donohue RJ, Liang L, Yang Y (2016) The hydrological effects of varying vegetation characteristics in a temperate water-limited basin: Development of the dynamic Budyko-Choudhury-Porporato (dBCP) model. J Hydrol 543:595–611

    Article  Google Scholar 

  • Ma Z, Shi Z, Zhou Y, Xu J, Yu W, Yang Y (2017) A spatial data mining algorithm for downscaling TMPA 3B43 V7 data over the Qinghai-Tibet Plateau with the effects of systematic anomalies removed. Remote Sens Environ 200:378–395

    Article  Google Scholar 

  • Mcmillen DP (1996) Geographically Weighted Regression: The Analysis of Spatially Varying Relationships. Am J Agr Econ 86:554–556

    Article  Google Scholar 

  • Michaelides S, Levizzani V, Anagnostou E, Bauer P, Kasparis T, Lane JE (2009) Precipitation: Measurement, remote sensing, climatology and modeling. Atmos Res 94:512–533

    Article  Google Scholar 

  • Nastos PT, Kapsomenakis J, Philandras KM (2016) Evaluation of the TRMM 3B43 gridded precipitation estimates over Greece. Atmos Res 169:497–514

    Article  Google Scholar 

  • Nicholson S, Some B, McCollum J, Nelkin E, Klotter D, Berten Y, Diallo B, Gaye I, Kpabeba G, Ndiaye O, Noukpozounkou J, Tanu M, Thiam A, Toure A, Traore A (2003) Validation of TRMM and other rainfall estimates with a high-density gauge dataset for West Africa. Part II: Validation of TRMM rainfall products. J Appl Meteorol 42:1355–1368

    Article  Google Scholar 

  • Rodriguez JD, Perez A, Lozano JA (2010) Sensitivity analysis of kappa-fold cross validation in prediction error estimation. IEEE Trans Pattern Anal Mach Intell 32:569–575

    Article  Google Scholar 

  • Steenburgh WJ, Rutz JJ, Ralph FM (2014) Climatological Characteristics of Atmospheric Rivers and Their Inland Penetration over the Western United States. Mon Weather Rev 142:905–921

    Article  Google Scholar 

  • Sushama L, Sylla MB, Samuelsson P, van Meijgaard E, Hänsler A, Fernandez J, Déqué M, Christensen OB, Cerezo-Mota R, Büchner M, Asrar G, Giorgi F, Jones C, Nikulin G (2012) Precipitation Climatology in an Ensemble of CORDEX-Africa Regional Climate Simulations. J Clim 25:6057–6078

    Article  Google Scholar 

  • Teng H, Shi Z, Ma Z, Li Y (2014) Estimating spatially downscaled rainfall by regression kriging using TRMM precipitation and elevation in Zhejiang Province, southeast China. Int J Remote Sens 35:7775–7794

    Article  Google Scholar 

  • Wagner W, Scipal K, Pathe C, Gerten D, Lucht W, Rudolf B (2003) Evaluation of the agreement between the first global remotely sensed soil moisture data with model and precipitation data. J Geophys Res 108:4611

    Article  Google Scholar 

  • Wang W, Guo Y (2009) Air Pollution PM2.5 Data Analysis in Los Angeles Long Beach with Seasonal ARIMA Model. In, 2009 International Conference on Energy and Environment Technology (pp. 7–10)

  • Wang Y, Liu J, Li R, Suo X, Lu E (2022) Medium and Long-term Precipitation Prediction Using Wavelet Decomposition-prediction-reconstruction Model. Water Resour Manage 36:971–987

    Article  Google Scholar 

  • Xu S, Wu C, Wang L, Gonsamo A, Shen Y, Niu Z (2015) A new satellite-based monthly precipitation downscaling algorithm with non-stationary relationship between precipitation and land surface characteristics. Remote Sens Environ 162:119–140

    Article  Google Scholar 

  • Zhang P, Zhang L, Leung H, Wang J (2017) A Deep-Learning Based Precipitation Forecasting Approach Using Multiple Environmental Factors. In, 2017 IEEE International Congress on Big Data (BigData Congress) (pp. 193–200)

  • Zhou Q, Jiang H, Wang J, Zhou J (2014) A hybrid model for PM2.5 forecasting based on ensemble empirical mode decomposition and a general regression neural network. Sci Total Environ 496:264–274

    Article  Google Scholar 

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Acknowledgements

The authors thank the National Natural Science Foundation of China for support. Related data are acquired from the National Aeronautics and Space Administration (NASA) the European Centre for Medium-Range Weather Forecasts (ECWMF). The authors are also thankful to the Key Laboratory of Virtual Geographic Environment (Nanjing Normal University) for providing the lab facility and other support.

Funding

This work was funded by the National Natural Science Foundation of China (No. 41971382, 31470519) and the Priority Academic Program Development of Jiangsu Higher Education Institutions (164320H116).

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All authors contributed to the study conception and design. Material preparation, data collection and analysis were performed by Haibo Gong, Fusheng Jiao, Li Cao and Huiyu Liu. The first draft of the manuscript was written by Haibo Gong and all authors commented on previous versions of the manuscript. All authors read and approved the final manuscript.

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Correspondence to Huiyu Liu.

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Highlights

• A new framework to obtain long-term precipitation (1982-2018) with 1km spatial resolution over the YRB.

• Time-series retrospective forecasting could supplement TRMM precipitation during 1982-1997.

• Downscaling results with 10CV-GDA are superior to that with GDA.

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Gong, H., Jiao, F., Cao, L. et al. Long-term Precipitation Estimation Combining Time-Series Retrospective Forecasting and Downscaling-Calibration Procedure. Water Resour Manage 36, 3087–3106 (2022). https://doi.org/10.1007/s11269-022-03190-5

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  • DOI: https://doi.org/10.1007/s11269-022-03190-5

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