Abstract
Research on the development and application of monthly water balance models has been carried out since the 1940s. A good body of experience has been gained for many models, and a review of these models is needed. Beginning with the development of monthly water balance models from the earliest times, this paper discusses the relevance of various aspects of the practical application of such models. Monthly water balance models were introduced originally to evaluate the importance of different hydrologic parameters under a variety of hydrologic conditions. Present applications of water balance models are directed along three main lines: reconstruction of the hydrology of catchments, assessment of climatic impact changes, and evaluation of the seasonal and geographical patterns of water supply and irrigation demand.
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Abbott, M. B., Bathurst, J. C., Cunge, J.A., O’Connell, P. E. and Rasmussen, J.: 1986, An introduction to the European Hydrological System - Système Hydrologique Européen, ‘sHE’, 1: History and philosophy of physically-based, distributed modeling system, J. Hydrol. 87, 45-59.
Abbott, M. B., Bathurst, J. C., Cunge, J.A., O’Connell, P. E. and Rasmussen, J.: 1986, An introduction to the European Hydrological System - Système Hydrologique Européen, ‘sHE’, 2: Structure of a physically-based, distributed modeling system, J. Hydrol. 87, 61-77.
Alley, W. M.: 1984, On the treatment of evapotranspiration, soil moisture accounting and aquifer recharge in monthly water balance models, Water Resour. Res. 20(8), 1137-1149.
Alley, W. M.: 1985, Water balance models in one-month-ahead stream flow forecasting Water Resour. Res. 21(4), 597-606.
Arnall, N. W.: 1992, Factors controlling the effects of climate change on river flow regimes in a humid temperate environment, J. Hydrol, 132, 321-342.
Beven, K. J.: 1989, Changing ideas in hydrology - the case of physically-based models, J. Hydrol. 105, 157-172.
Boughton, W. C.: 1973, A mathematical catchment model for estimating runoff, J. Hydrol. 7(3), 75-100.
Clarke, R. T.: 1973, A review of some mathematical models used in hydrology with observation on their calibration and use, J. Hydrol. 19(1), 1-20.
Dooge, J. C. I.: 1977, Problems and methods of rainfall-runoff modelling, in: Ciriani, T. A., Maione, U. and Wallis, J. R. (eds.), Mathematical Models for Surface Water Hydrology, Wiley, New York, pp. 71-108.
Dyck, S.: 1983, Overview on the present status of the concepts of water balance models, in: Van der Beken, A. and Herrmann, A. (eds.), New Approaches in Water Balance Computations(Proceedings of the Hamburg Workshop), IAHS Publ. No. 148, pp. 3-19.
Edijatno, and Michel, C.: 1989, Un modele pluie-debit journalier à trois parameteres, Houille Balanche 2, 113-121.
Fiering, M. B.: 1967, Streamflow Synthesis, Harvard University Press, Cambridge, Massachusetts.
Gabos, A. and Gasparri, L.: 1983, Monthly runoff model for regional planning, Water Internat. 8, 42-45.
Gleik, P. H.: 1986, Methods for evaluating the regional hydrologic inpacts of global climatic changes, J. Hydrol. 88, 97-116.
Gleick, P. H.: 1987, The development and testing of a water balance model for climate impact assessment: modelling the Sacramento basin, Water Resour. Res. 23(6), 1049-1061.
Gray, D. M. and O’Neill, A. D. J.: 1974, Application of the energy budget for predicting snowmelt runoff, in: Henry S. Santeford and James L. Smith (eds.), Advanced Concepts and Techniques in the Study of Snow and Ice Resources, National Academy of Sciences.
Haan, C. T.: 1972, A water yield model for small watersheds, Water Resour. Res. 8(1), 28-69.
Halldin, S.(ed.): 1979, Comparison of forest water and energy exchange models, Development in Agriculture and Managed-Forest Ecology, Vol. 9, Elsevier, Amsterdam.
Hughes, D. A.: 1982, Conceptual catchment model parameter transfer studies using monthly data from the Southern Cape Coastal lakes Region, Report 1/82, Hydrological Research Unit, Rhodes University, Grahamstown.
Hughes, D. A.: 1989, Estimation of the parameters of an isolated event conceptual model from physical catchment characteristics, Hydrol. Sci. J. 34(5), 539-557.
Jarboe, J. E. and Haan, C. T.: 1974, Calibration of a water yield model for small ungauged watersheds, Water Resour. Res. 10(2), 256-262.
Jones, J. R.: 1976, Physical data for catchment models, Nordic Hydrol. 7, 245-264.
Krzysztofowicz, R. and Diskin, M. H.: 1978, A moisture-accounting watershed model for single-storm events based on time-area concept, J. Hydrol. 37, 261-294.
Kuczera, G.: 1982, On the relationship between the reliability of parameter estimates and hydrologic time series data used in calibration, Water Resour. Res. 18(1), 146-154.
Kuczera, G.: 1983a, Improved parameter inference in catchment models, 1. Evaluating parameter uncertainty, Water Resour. Res. 19(5), 1151-1162.
Kuczera, G.: 1983b, Improved parameter inference in catchment models, 2, Combining different kinds of hydrologic data and testing their compatibility, Water Resour. Res. 19(5), 1163-1172.
Lang, H.: 1984, Forecasting meltwater runoff from snow-covered areas and from glacier basins, in: J. R. Moll (ed.), Real-Time River Flow Forecasting, Landbouwhogeschool, Wageningen, The Netherlands, Report 6, pp. 113-146.
Langford, K. J., Duncan, H. P. and Heeps, D. P.: 1978, Forecasting streamflow and storage using a soil dryness index model. Rep. MMBWW-0031, Melbourne and Metrop. Board of Works, Melbourne, Victoria.
Leavesley, G. H.: 1989, Problems of snowmelt runoff modelling for a variety of physiographic and climatic conditions, Hydrol. Sci. J. 34(6), 617-634.
Linsley, R. K.: 1967, The relation between rainfall and runoff, J. Hydrol. 5, 297-371.
Magette, W. L., Shanholtz, V. O. and Carr, J. C.: 1976, Estimating selected parameters for the Kentucky Watershed Model from watershed characteristics, Water Resour. Res. 12(3), 462-476.
Makhlouf, Z. and Michel, C.: 1994, A two-parameter monthly water balance model for French watersheds, J. Hydrol. 162, 299-318.
Martinec, J. and Rango, A.: 1986, Parameter values for snowmelt runoff modelling, J. Hydrol. 84, 197-219.
Monteith, J. L.: 1965, Evaporation and environment, in: G. E. Fogg (ed.), The State and Movement of Water in Living Organisms(Symposia of the Society for Experimental Biology, Number XIX), The Company of Biologist, Cambridge, pp. 205-234.
Moussavi, M.: 1988, Hydrologic systems modelling of mountainous watersheds in semi-arid regions. PhD Thesis, Katholieke Universiteit Leuven, Belgium.
Moussavi, M., Wyseure, G. and Feyne, J.: 1989, Estimation of melt rate in seasonally snow-covered mountainous areas, Hydrol. Sci. J. 34(3), 249-263.
Moussavi, M., Wyseure, G. and Feyne, J.: 1990, Comparison of different structures for a monthly water yield model in seasonally snow-covered mountainous watersheds of Iran, Hydrol. Sci. J. 35(5), 535-546.
Nash, J. E. and Sutcliffe, J.: 1970, River flow forecasting through conceptual models, Part I. A discussion of principles. J. Hydrol. 10, 282-290.
Oliver, H. R.: 1983, The availability of evaporation data in space and time for use in water balance computations, in: Van der Beken, A. and A. Herrmann, (eds.), New Approaches in Water Balance Computations (Proceedings of the Hamburg Workshop), IAHS Publ. No. 148.
Palmer, W. C.: 1965, Meteorologic drought Research Paper, US Weather Bureau, 45, p. 58
Pilgrim, D. H.: 1975, Model evaluation, testing and parameter estimation in hydrology, in: T. G. Chapman and F. X. Dunin (eds.), Australian Academy of Science, Canberra, pp. 305-333.
Pitman, W. V.: 1973, A mathematical model for generating monthly river flows from meteorological data in South Africa. Report 2/73, Hydrological Research Unit, University of the Witwatersrand, Johannesburg.
Pitman, W. V.: 1978, Flow generation by catchment models of differing complexity - a comparison of performance, J. Hydrol. 38, 59-70.
Power, J. M.: 1986, Canada case study: water supply, in: G. Young (ed.), Techniques for Prediction of Runoff from Glacierized Areas, IAHS Publ. No. 149.
Rainbird, A. F.: 1976, Methods of estimating areal average precipitation. WMO/IHD Report No. 3.
Roberts, P. J. T.: 1978, A comparison of the performance of selected conceptual models of the rainfall-runoff process in semi-arid catchments near Grahamstown, Report 1/78, Hydrological Research Unit, Rhodes University, Grahamstown.
Roberts, P. J. T.: 1979, Model FLEXIFIT: A conceptual rainfall-runoff model for the extension of monthly runoff records. Dept. of Environment Affairs, Hydrological Research Institute, Tech. Report TR98.
Salas, J. D., Tabios III, G. Q. and Obeysekera, J. T. B.: 1986, Seasonal model for watershed simulation, Users Manual, Dept. of Civil Engineering, Colorado State University.
Schaake, J. C. and Liu, C.: 1989, Development and application of simple water balance models to understand the relationship between climate and water resources, in: M. L. Kavvas (ed.), New Directions for Surface Water Modeling(Proceedings of the Baltimore Symposium, May 1989), IAHS Publ. No. 181.
Servat, E. and Dezette, A.: 1993, Rainfall-runoff modelling and water resources assessment in northwestern Ivory Coast. Tentative extension to ungauged catchments, J. Hydrol. 148, 231-248.
Singh, V. P.: 1989, Hydrologic System, Vol. 2. Watershed Modelling, Prentice Hall, Englewood Cliffs, New Jersey.
Singh, V. P.: 1995, Computer Models of Watershed Hydrology, Water Resources Publications, Littleton, Colorado.
Snyder, F. F.: 1963, A water yield model derived from monthly runoff data. International Association of Scientific Hydrology Publication No. 63, pp. 18-30.
Soorooshian, S. and Dracup, J. A.: 1980, Stochastic parameter estimation procedures for hydrologic rainfall-runoff models: correlated and heteroscedastic error cases, Water Resour. Res. 16(2), 430-442.
Thomas, H. A.: 1981, Improved method for national water assessment, Report WR15249270, U.S. Water Resource Council, Washington, D. C.
Thornthwaite, C.W.: 1948, An approach toward a rational classification of climate, Geogr. Rev. 38(1), 55-94.
Thornthwaite, C. W. and Mather, J. R.: 1955, The water balance, Publ. Climatol. Lab. Climatol. Dresel Inst. Technol. 8(8), 1-104.
Thornthwaite, C. W. and Mather, J. R.: 1957, Instructions and tables for computing potential evapotranspiration and the water balance, Publ. Climatol. Lab. Climatol. Dresel Inst. Technol 10(3), 185-311.
Tuffuor, S. and Labadie, J. W.: 1973, A nonlinear time variant rainfall-runoff model for augmenting monthly data, Water Resour. Res. 19(6), 1161-1166.
U. S. Army of Corps of Engineers: 1956, Snow hydrology. Summary report of the snow investigation, North Pacific Division, Portland.
Van der Beken, A. and Byloos, J.: 1977, A monthly water balance model including deep infiltration and canal losses, Hydrol. Sci. Bull. 22(3), 341-351.
Vandewiele, G. L. and Elias, A.: 1995, Monthly water balance of ungauged catchments obtained by geographical regionalization, J. Hydrol. 170, 277-291.
Vandewiele, G. L. and Ni-Lar-Win: 1993, Monthly water and snow balance models on basin scale, in: K. Banasik and A. Zbikowski (eds.), Runoff and Sediment Yield Modelling, Warsaw, pp. 83-88.
Vandewiele, G. L., Xu, C.-Y. and Huybrechts, W.: 1991, Regionalisation of physically-based water balance models in Belgium: application to ungauged catchments, Water Resour. Manage. 5, 199-208.
Vandewiele, G. L., Xu, C.-Y. and Ni-Lar-Win: 1992, Methodology and comparative study of monthly water balance models in Belgium, China and Burma, J. Hydrol. 134, 315-347.
Woo, M. K.: 1972, A numerical simulation model for snow storage in small coastal basins, Southern British Columbia, IAHS Publ. No. 107, 2, pp. 992-1014.
Xu, C.-Y.: 1992, Monthly water balance models in different climatic regions. PhD thesis, V.U.B. Hydrologie-22, 219 pp. Vrije Universiteit Brussel, Belgium.
Xu, C.-Y.: 1996, Methodology of statistical analysis of rainfall-runoff models (submitted to Nordic Hydrol.).
Xu, C.-Y. and Halldin, S.: 1996, The effect of climate change in river flow and snow cover in the NOPEX area simulated by a simple water balance model, Proc. of Nordic Hydrological Conference, Alkureyri, Iceland, Vol. 1 pp. 436-445.
Xu, C.-Y. and Vandewiele, G. L.: 1992, Reliability of calibration of a conceptual water balance model: the humid case, in: T. F., Russell, R. E. Ewing, C. A. Brebbia, W. G. Gray, and G. F. Pinder, (eds.), Proceedings of the IX International Conference on Computation Methods in Water Resources, Denver, Colorado, pp. 773-780.
Xu, C.-Y. and Vandewiele, G. L.: 1994, Sensitivity of monthly rainfall-runoff models to input errors and data length, Hydrol. Sci. J. 39(2), 157-176.
Xu, C.-Y. and Vandewiele, G. L.: 1995, Parsimonious monthly rainfall-runoff models for humid basins with different input requirements, Adv. Water Resour. 18, 39-48.
Xu, C.-Y., Seibert, J. and Halldin, S.: 1996a, Regional water balance modelling in the NOPEX area - development and application of monthly water balance models, J. Hydrol. 180, 211-236.
Xu, C.-Y., Seibert, J. and Halldin, S.: 1996b, Regional water balance modelling in the NOPEX area - test on parameter estimations using catchment characteristics (Submitted to J. Hydrol.).
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Xu, CY., Singh, V.P. A Review on Monthly Water Balance Models for Water Resources Investigations. Water Resources Management 12, 20–50 (1998). https://doi.org/10.1023/A:1007916816469
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DOI: https://doi.org/10.1023/A:1007916816469