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.
Similar content being viewed by others
Availability of Data and Materials
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
Almazroui M (2011) Calibration of TRMM rainfall climatology over Saudi Arabia during 1998–2009. Atmos Res 99:400–414
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
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
Box G, Jenkins G (1976) Times series analysis -forecasting and control. Prentice-Hall, Englewood Cliffs
Box G, Jenkins G, Reinsel G (1994) Time series analysis: forecasting and control, 3rd edn. Prentice Hall, Englewood Cliffs
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
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
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
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
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
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
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
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
Fick SE, Hijmans RJ (2017) WorldClim 2: new 1-km spatial resolution climate surfaces for global land areas. Int J Climatol 37:4302–4315
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
Fushiki T (2009) Estimation of prediction error by using K-fold cross-validation. Stat Comput 21:137–146
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
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
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
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
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
Hutchinson MF (1995) Interpolating mean rainfall using thin plate smoothing splines. Int J Geogr Inf Syst 9:385–403
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
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
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
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
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
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
Lettenmaier DP, Wood AW, Voisin N (2008) Evaluation of Precipitation Products for Global Hydrological Prediction. J Hydrometeorol 9:388–407
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
Li M, Shao Q (2010) An improved statistical approach to merge satellite rainfall estimates and raingauge data. J Hydrol 385:51–64
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
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
Mcmillen DP (1996) Geographically Weighted Regression: The Analysis of Spatially Varying Relationships. Am J Agr Econ 86:554–556
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
Nastos PT, Kapsomenakis J, Philandras KM (2016) Evaluation of the TRMM 3B43 gridded precipitation estimates over Greece. Atmos Res 169:497–514
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
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
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
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
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
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
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
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
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
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).
Author information
Authors and Affiliations
Contributions
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.
Corresponding author
Ethics declarations
Ethical Approval
The authors undertake that this article has not been published in any other journal and that no plagiarism has occurred.
Consent to Participate
The authors agree to participate in the journal.
Consent to Publish
The authors agree to publish in the journal.
Competing Interests
The Authors declare no conflict of interests.
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
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.
Rights and permissions
About this article
Cite this article
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
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11269-022-03190-5