Abstract
For planning, management, and effective control of water resource systems, a considerable amount of data on numerous hydrologic variables such as rainfall, streamflow, evapotranspiration, temperature, etc. is required. Data sets of various hydrologic variables are at times not only short, but also often have gaps because of missing observations. Such deficiencies in hydrologic time series are attributable, among others, to the malfunctioning of monitoring equipment, the effects of natural phenomena, such as earthquakes, hurricanes, or landslides, and problems with data transmission, storage and retrieval processes. Deficiencies in hydrologic data series vary from 5 to 10 percent in the case of runoff data [Correll et al. (1998)] and up to 25 percent in the case of oceanic storm surges [Zhang et al. (1997)] . Time series methods, among others, do not tolerate missing observations, and thus numerous data infilling techniques have evolved in various scientific disciplines to deal with incomplete data sets.
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References
Afza, N., and Panu, U.S. (1992) Infilling Missing Monthly Streamflow Data for Rivers with Seasonal Runoff, Civil Eng. Technical Report, No. CE-92–3, Lakehead University, Ontario, Canada.
Alley, W.M. Burns, A.W. (1983) Mixed-Station Extension of Monthly Streamflow Records, Jour. of Hydraulic Engineering,Vol. 109 (10), 1272–1284.
Beale, E.M. and Little, R.J. (1975) Missing Values in Multivariate Analysis. J.R. Stat. B, 37(1), 129–145.
Beard, L. R. (1962) Statistical Methods in Hydrology, U.S. Army Engineers, Calif., pp. 5.01 - 5.05.
Beard, L.R., Fredrich, A.J., and Hawkins, E.F. (1970) Estimating Monthly Streamflows within a Region. Technical paper 18, HEC, U.S. Army Corps of Engineers, 14 pages.
Beauchamp, J. J., Dowing, D. J., and Railsback, S. F. (1989) Comparison of Regression and Time-Series Methods for Synthesizing Missing Streamflow Records, Water Resources Bulletin, 25(5), 961 - 975.
Gyau-Boakye, P. G., and Schultz, G. A. (1994) Filling Gaps in Runoff Time Series in West Africa, Hydrological Science Journal, 39(6), 621 - 636.
Box, G. E. P. and Jenkins, G. M. (1976) Time Series Analysis: Forecasting and Control, Holden-Day, San Francisco, California, Revised Edition.
Chakraborty, K., Mehrotra, K., Mohan, C. K., and Ranka, S. (1992) Forecasting the Behavior of Multi-variate Time Series Using Neural Networks, Neural Networks, Vol. 5, 961–970.
Chow, V. T. (1964) Handbook of Applied Hydrology. McGraw-Hill, New York.
Correll, D. L., Jordan, T. E., and Weller, D. E. (1998) Effect of Inter-annual Variation of Precipitation on Stream Discharge from Rhode River Sub-watersheds, AWRA (in printing).
Dax, A. (1985) Completing Missing Groundwater Observations by Interpolation. J. Hydrol., 81, 375–399.
Elshorbagy, A., Simonovic, S. P. and Panu, U. S. (1998) Performance Evaluation of Artificial Neural Networks for Runoff Prediction. ASCE Journal of Hydrologic Engineering (under review).
Elshorbagy, A., Panu, U. S. and Simonovic, S. P. (1999) Investigations into Group Based Data Infilling Techniques. CSCE Annual Conference, Regina, Canada.
Fiering, M. B. (1962) On the Use of Correlation to Augment Data. J. Amer. Statist. Assoc., 57(297), 20–32.
French, M. N., Krajewski, W. F., and Cuykendall, R. R. (1992) Rainfall Forecasting in Space and Time Using a Neural Network, J. Hydrol., Vol. 137, 1–31.
Giiroy, E. I. (1971) Reliability of a Variance Estimate Obtained from a Sample Augmented by Multivariate Regression, Water Resources Research, Vol. 6(6), 1595–1600.
Gnanadesikan, R. (1977) Methods for Statistical Data Analysis of Multivariate Observation, John Wiley, New York
Goodier, C. and Panu, U.S. (1993) Applications of a Multivariate Approach for Infilling of Missing Monthly Streamflows, Civil Engineering Technical Report No. CE-93–3, Lakehead Univ., Thunder Bay, Ontario.
Goodier, C. and Panu, U.S. (1994) Infilling Missing Monthly Streamflow Data Using a Multivariate Approach, Stochastic and Statistical Methods in Hydrology &; Environmental Engineering, 3, 191–202.
Granger, C. W., and Newbold, P. (1986) Forecasting Economic Time Series. Orlando, Academic Press.
Griffith, D. A., Haining, R. P. and Bennett, R. J. (1985) Estimating Missing Values in Space-time Data Series. in Time Series Analysis: Theory and Practice 6. Anderson, O. D., Ord, J. K. and Robinson, E.A., eds., Elsevier Science Publishers B.V., North-Holland.
Grygier, J.C., Stedinger, J. R., Yin, H.B. (1989) A Generalized Maintenance of Variance Extension Procedure for Extending Correlated Series, Water Resources Research, Vol. 25(3), 345–349.
Gupta, A. and Lam, M. (1996) Estimating Missing Values Using N.Networks. J. Oper. Res., 47(2), 229–238.
Hirsch, R.M. (1979) An Evaluation of Record Reconstruction Techniques. WRR, 15(6), 1781–1790.
Hirsch, R. M. (1982) A Comparison of Four Streamflow Extension Techniques. WRR, 18(4), 1081–88.
Hirsch, R.M. and Gilroy, E.J. (1984) Methods of Fitting a Straight Line to Data: Examples in Water Resources, Water Resources Bulletin, Vol. 20(5), 705–711.
Hsu, Kuo-lin, Gupta, H. V., and Sorooshian, S. (1995) Artificial Neural Network Modeling of the Rainfall-Runoff Process, WRR, Vol. 31(10), 2517–2530.
Hughes, D. A. and Smakhtin, V. (1996) Daily Flow Time Series Patching or Extension: A Spatial Interpolation Approach Based on Flow Duration Curves. Hydrol. Sci. J., 41(6), 851–871.
Ishibuchi, H., Miyazaki, A., Kwon, K. and Tanaka, H. (1993) learning from incomplete training data with missing values and medical application. Proc. Int. Joint Conf. On Neu. Net., Japan, V.2, 1871–74.
Johnson, R. A., and Wichern, D. W. (1988) Applied Multivariate Statistical Analysis, Prentice Hall, N.Y.
Kang, K. W., Park, C. Y., and Kim, J. H. (1993) Neural Network and its Application to Rainfall-Runoff Forecasting, Korean J. Hydrosci., Vol. 4, 1–9.
Karunanithi, N., Grenney, W. J., Whitley, D., and Bovee, K. (1994) Neural Networks for River Flow Prediction. J. Computing in Civ. Eng., ASCE, 8(2), 201–220.
Khalil, M., Panu, U. S. Panu, and Lennox, W.C. (1998) Infilling of Missing Streamflow Values Based on Concepts of Groups and Neural Networks, Civil Engineering Technical Report No CE-98–2, Lakehead University, Thunder Bay, Ontario, Canada.
Khalil, M., Panu, U. S., and Lennox, W. (1999) Streamflow Data Infilling Procedures Based on Concept of Groups and Neural Networks. 1. Development of Models, Journal of Hydrology (under review).
Kuczera, G. (1987) On Maximum Likelihood Estimators for the Multisite Lag-one Streamflow Models: Complete and Incomplete Data Cases. WRR, 23(4), 641–645.
Lachtermacher, G., and Fuller, J. D. (1994) Back-Propagation in Hydrological Time Series Forecasting, Stochastic and Statistical Methods in Hydrology and Environment Engineering, Vol. 3, 229–242.
Lettenmaier, D. P., and Burges, S. J. (1979) Operational Assessment of Hydrologic Models of Long-term Persistence, WRR, Vol. 13 (1), 113–124.
Makhuvha, T., Pegram, G., Sparks, R. and Zucchini, W. (1997) Patching Rainfall Data Using Regression Methods. 2. Comparisons of Accuracy, Bias and Efficiency. J. Hydrol., 198, 308–318.
Matalas, N. C. (1967) Mathematical Assessment of Synthetic Hydrology, WRR,Vol. 3, 937 - 945.
Matalas, N.C., and Jacobs, B. (1964) A Correlation Procedure for Augmenting Hydrologic Data, U.S. Geol. Surv. Prof. Pap., 434-E, E 1–E7.
McCuen, R.A.(1993) Statistical Hydrology. Prentice-Hall, Englewood Cliffs, N.J., 306 pages.
Moran, M. A. (1974) On Estimators Obtained from a Sample Augmented by Multiple Regression. WRR, 10(1), 81–85.
Mott, P., Sammis, T.W., and Southward, G. M. (1994). Climate Data Estimation Using Climate Information from Surrounding Climate Stations. Appl. Eng. In Agric., 10(1), 41–44.
Panu, U. S. (1991) Application of Some Entropic Measures in Hydrologic Data Infilling Procedures. In Entropy and Energy Dissipation in Water Resources. Singh, V. P. and Fiorentino, M., eds., Kleuwer Academic Publishers, the Netherlands, 175–192.
Panu, U.S., Unny, T.E. and Ragade, R.K., 1978. (1978) A Feature Prediction Model in Synthetic Hydrology Based on Concepts of Pattern Recognition. WRR, 14(2), 335–344.
Panu, U. S. and Unny, T. E. (1980a) Extension and Application of Feature Prediction Model for Synthesis of Hydrologic Records. WRR, 16(1), 77–96.
Panu, U.S. and Unny, T.E. (1980b) Stochastic Synthesis of Hydrologic Data Based on Concepts of Pattern Recognition, l-. General Methodology of the Approach, Journal of Hydrology, Vol. 46, 5–34.
Panu, U.S. and Unny, T.E. (1980c) Stochastic Synthesis of Hydrologic Data Based on Concepts of Pattern Recognition, 2-. Application to Natural Watersheds, Journal of Hydrology, Vol. 46, 197–217.
Panu, U.S. and Unny, T.E. (1980d) Stochastic Synthesis of Hydrologic Data Based on Concepts of Pattern Recognition, 3-. Performance Evaluation of the Methodology, Journal of Hydrology, Vol. 46, 219–237.
Panu, U. S., and Afza, N. (1993) Entropic Evaluation of Streamflow Data Infilling Procedures, Proc. of Stochastic and Statistical Methods in Hydrology and Environmental Engineering, pp. 410–412.
Panu, U. S. and A. Ku (1997) Forecasting Monthly Streamflow Patterns for Reservoir Operations. CSCE Annual Conference, Vol. 3, 159–168.
Panu, U. S. and Afza, N. (1998) Development of Feature Infilling Procedures for Hydrologic Data Series. Journal of Hydrology, (to appear).
Pedreira, C.E. and Parente, E. (1995) Neural networks with missing values attributes. Proc. IEEE Int. Conf. Neu. Net., V.6, 3021–23.
Pegram, G. (1997) Patching Rainfall Data Using Regression Methods. 3. Grouping, Patching and Outlier Detection. J. Hydrol., 198, 319–334.
Raman, H., Sunilkumar, N. (1995) Multivariate Modeling of Water Resources Time Series Using Artificial Neural Networks, Hydrological Sciences Journal, Vol.40(2), 145–163.
Salas, J.D. (1993) Analysis and Modeling of Hydrologic Time Series. In Handbook of Hydrology, Maidment, D.R. (ed.), McGraw-Hill, Inc., USA.
Salas J. D., Delleur, J. W., Yevjevich, V., and Lane, W. L. (1980) Applied Modeling of Hydrologic Time Series. Water Resour. Pub. Colorado, 46 1–473.
Salas, J. D., Obeysekera, J. T. B. (1992) Conceptual Basis of Seasonal Streamflow Time Series Models, Journal of Hydraulic Engineering, Vol. 118 (8), 1186–194.
Shih, S. F., and Cheng, K. S. (1989) Generation of Synthetic and Missing Climatic Data for Puerto Rico, Water Resources Bulletin, Vol. 25 (4), 829–836.
SPSS (1995) Base Systems User’s Guide (Part-II), SPSS Inc., Chicago, Illinois, USA
Srikanthan, R., McMahan, T. A., Codner, G. P., and Mein, R.G. (1983) Practical Aspects of Multi-site generation of stream flow data, Paper presented at Proceeding Hydrology and Water Resources Symposium, Inst. Of Eng., Hobart, Australia.
Stedinger, J. R., Lettenmaier, D. P., and Vogal, R. M (1985) Multi-site ARMA (1,1) and Disaggregation Models for Annual Streamflow Generation, WRR, Vol. 21 (4), 497–510.
Streit, R. L., and Luginbuhl, T. E. (1994) Maximum Likelihood Training of Probabilistic Neural Networks, IEEE Trans., Neural Networks, Vol. 5(5), 764–783.
Tanaka, M. (1996) Identification of Nonlinear Systems with Missing Data Using Stochastic Neural Network, Decision and Control: Proceedings of the 35th IEEE Conference; Journal: Vol. 1, 933–934.
Tang, W. Y., Kassim, A. H. M., Abubakar, S. H. (1996) Comparative studies of Various Data Treatment Methods—Malaysian Experience. Atmospheric Research Journal, Vol. 42, 247–262.
Terry, W. R., Lee, J. B., Kumar, A. (1986) Time Series Analysis in Acid Rain Modeling: Evaluation of Filling Missing Values By Linear Interpolations, Atmospheric Environment, Vol. 20 (10), 1941–1945.
Tiao, G. C., and Tsay, R. S. (1989) Model Specification in Multivariate Time Series, Journal of the Royal Statistical Society, B 51, 157–213.
Tokar, A. S. (1996) Rainfall—Runoff Modeling in an Uncertain Environment. Ph.D. Thesis. University of Maryland. UMI Dissertation Service. Bell and Howell Company.
Tong, H. (1983) Threshold Models in Nonlinear Time Series Analysis, Lecture Notes in Statistics, 21, New York: Springer-Verlag.
Tong, H. (1990) Nonlinear Time Series: A Dynamical System Approach, Oxford: Oxford University Press.
Unny, T.E., Panu, U.S., McInnes, C.D., and Wong, A.K.C. (1981) Pattern Analysis and Synthesis of Time Dependent Hydrologic Data. Advances in Hydrosciences, Academic Press, Vol. 12, 222–244,
Vogel, R. M. and Stedinger, J. R. (1985) Minimum Variance Streamtlow Record Augmentation Procedures. WRR, 21(5), 715–723.
Wong, I., Lam, D., Storey, A., and Fong, P. (1994) A Neural Network Approach to predict Missing Environmental Data, World Congress in Neural Networks, Vol. 1, Conference, San Diego, CA.
Young, G.K., Orlob, G.T. and Roesner, L. A. (1970) Decision Criteria for Using Stochastic Hydrology. Journal of the Hydraulics Division, ASCE, 96 (HY4), 911–926.
Zhang, K., Douglas, B. C., and Leatherman, S. P. (1997) East Coast Storm Surges Provide Unique Climate Record, EOS, Trans AGU, Vol. 78(37), 389–397.
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Panu, U.S., Khalil, M., Elshorbagy, A. (2000). Streamflow Data Infilling Techniques Based on Concepts of Groups and Neural Networks. In: Govindaraju, R.S., Rao, A.R. (eds) Artificial Neural Networks in Hydrology. Water Science and Technology Library, vol 36. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-9341-0_13
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