Skip to main content
Log in

Spatial rainfall model using a pattern classifier for estimating missing daily rainfall data

  • Original Paper
  • Published:
Stochastic Environmental Research and Risk Assessment Aims and scope Submit manuscript

Abstract

Missing data in daily rainfall records are very common in water engineering practice. However, they must be replaced by proper estimates to be reliably used in hydrologic models. Presented herein is an effort to develop a new spatial daily rainfall model that is specifically intended to fill in gaps in a daily rainfall dataset. The proposed model is different from a convectional daily rainfall generation scheme in that it takes advantage of concurrent measurements at the nearby sites to increase the accuracy of estimation. The model is based on a two-step approach to handle the occurrence and the amount of daily rainfalls separately. This study tested four neural network classifiers for a rainfall occurrence processor, and two regression techniques for a rainfall amount processor. The test results revealed that a probabilistic neural network approach is preferred for determining the occurrence of daily rainfalls, and a stepwise regression with a log-transformation is recommended for estimating daily rainfall amounts.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4

Similar content being viewed by others

References

  • Batista G, Monard MC (2003) An analysis of four missing data treatment methods for supervised learning. Appl Artif Intell 17(5–6):519–533

    Article  Google Scholar 

  • Cooley WW, Lohnes PR (1971) Multivariate data analysis. Wiley, New York, pp 364

    Google Scholar 

  • Dempster AP, Laird NM, Rubin DB (1977) Maximum likelihood estimation from incomplete data via the EM algorithm (with discussion). J R Stat Soc Ser B (Stat Methodol) 39:1–38

    Google Scholar 

  • Demuth H, Beale M (2000) Neural network toolbox: for use with MATLAB, version 4. The Math Works, MA, pp 846

    Google Scholar 

  • Duda RO, Hart PE, Stork DG (2000) Pattern classification. Wiley, New York, pp 654

    Google Scholar 

  • Hamilton LC (1992) Regression with graphics: a second course in applied statistics. Duxbury Press, California, pp 363

    Google Scholar 

  • Heymsfield GM, Caylor IJ, Shepherd JM, Olson WS, Bidwell SW, Boncyk WC, Ameen S (1996) Structure of Florida thunderstorms using high-altitude aircraft radiometer and radar observations. J Appl Meteorol 35:1736–1762

    Article  Google Scholar 

  • Lal AMW (2001) Modification of canal flow due to stream-aquifer interaction. J Hydraul Eng 127(7):567–576

    Article  Google Scholar 

  • Levizzani V, Amorati R, Meneguzzo F (2002) A review of satellite-based rainfall estimation methods. European Commission Project MUSIC Report (EVK1-CT-2000–00058), Bologna, Italy

  • Maier HR, Dandy GC (2000) Neural networks for the prediction and forecasting of water resources variables; a review of modeling issues and applications. Environ Modell Softw 15:101–124

    Article  Google Scholar 

  • Makhuvha T, Pegram G, Sparks R, Zucchini W (1997) Patching rainfall data using regression methods. 1. Best subset selection, EM and Pseudo-EM methods: theory. J Hydrol 198:308–318

    Article  Google Scholar 

  • National Research Council (2003) Satellite observations of the Earth’s environment: accelerating the transition of research to operations. The National Academies Press, Washington, DC

    Google Scholar 

  • Pegram G (1997) Patching rainfall data using regression methods. 3. Grouping, patching and outlier detection. J Hydrol 198:319–334

    Article  Google Scholar 

  • Roldán J, Woolhiser DA (1982) Stochastic daily precipitation models: 1. A comparison of occurrence processes. Water Resour Res 18(5):1451–1459

    Article  Google Scholar 

  • Schneider T (2001) Analysis of incomplete climate data: estimating of mean values and covariance matrices and imputation of missing values. J Clim 14:853–871

    Article  Google Scholar 

  • SFWMD (1999) A primer to the South Florida water management model (Version 3.5). SFWMD, West Palm Beach

  • Srikanthan R, Harrold TI, Sharma A, McMahon TA (2005) Comparison of two approaches for generation of daily rainfall data. Stochas Environ Res Risk Assess 19:215–226

    Article  Google Scholar 

  • Tarboton KC, Neidrauer CJ, Santee ER, Needle JC (1999) Regional hydrologic modeling for planning the management of South Florida’s water resources through 2050. In: Paper presented at 1999 annual international meeting, ASAE/CSAE, Toronto, Canada, 19–21 July

  • Wheater HS, Chandler RE, Onof CJ, Isham VS, Bellone E, Yang C, Lekkas D, Lourmas G, Segond ML (2005) Spatial-temporal rainfall modeling for flood risk estimation. Stochas Environ Res Risk Assess 19:403–416

    Article  Google Scholar 

  • Wilks DS (1995) Statistical methods in the atmospheric sciences: an introduction. Academic Press, San Diego, pp 467

    Google Scholar 

  • Wilks DS (1998) Multisite generation of a daily stochastic precipitation generation model. J Hydrol 210:178–191

    Article  Google Scholar 

Download references

Acknowledgments

This study was supported by the grants from the Everglades Research Fellowship (ERF) Program at University of Florida, which was funded by the Everglades National Park, USA. However, the views expressed in this article do not necessarily represent the views of the agencies. The authors would like to thank Dr. Upmanu Lall at Columbia University and anonymous reviewers for their thoughtful reviewing of the manuscript and constructive comments.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Tae-Woong Kim.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kim, TW., Ahn, H. Spatial rainfall model using a pattern classifier for estimating missing daily rainfall data. Stoch Environ Res Risk Assess 23, 367–376 (2009). https://doi.org/10.1007/s00477-008-0223-9

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00477-008-0223-9

Keywords

Navigation