A new approach on the functioning of an irrigation scheme has been presented. A mathematical representation of the irrigation system based on measured system properties, such as losses due to percolation and to poor management, in only a part of the system is used. This mathematical representation is termed an equivalent irrigation network. The merit of this approach is that it reduces the number of required streamflow measurements.
When water amounts are measured for a number of paths in the irrigation network, so-called path efficiencies are obtained. The path efficiency is a measure of the amount of water lost along the way. The numerical model that simulates the operation of the irrigation system is based on the path efficiencies. This simulation model in turn is used to calculate different objective functions, corresponding with different optimization goals, like uniform water distribution, minimum groundwater extraction, minimum cost of water supply.
This paper gives the theoretical background of the approach. The application to an actual irrigation scheme will be discussed in a second paper.
This is a preview of subscription content, log in to check access.
Buy single article
Instant access to the full article PDF.
Price includes VAT for USA
Subscribe to journal
Immediate online access to all issues from 2019. Subscription will auto renew annually.
This is the net price. Taxes to be calculated in checkout.
Barrow, C., 1987,Water Resources and Agricultural Development in the Tropics, Longman, New York.
Bazaraa, M. S. and Jarvis, J. J., 1977,Linear Programming and Network Flows, Wiley, New York.
Bernardi, F., Farina, G., Gennari, D., Matteucci, M., Menenti, M, and Stefanini, L., 1985, An expert system to mimic agricultural water use in the Po river basin, in A. Perrier en C. Riou (eds.),Crop Water Requirements. Proc. ICID Conf. 11–14 Sept. 1984, Paris, France, pp. 625–634.
Bhuiyan, S. I., 1982, Irrigation system management research and selected methodological issues, IRRI Research Paper series 81. The International Rice Research Institute, Manila, Philippines.
Bos, M. G. and Nugteren, J. G., 1978, On irrigation efficiencies, Publication 19, International Institute for Land Reclamation and Improvement, Wageningen, The Netherlands.
Bottrall, A., 1981, Comparative study of the management and organization of irrigation projects, World Bank Staff Working Paper 458, World Bank, Washington DC.
Chambouleyron, J., 1969, Los usos consuntivos de las areas regadas por los rios Atuel y Diamante. CETARC, Mendoza, Argentina.
Chambouleyron, J., Menenti, M., Fornero, L., Morabito, J., and Stefanini, L., 1983, Evaluación y optimización del uso del agua en grandes redes de riego. Instituto Italo-Latino Americano (IILA), Rome, Italy.
Clayton, E., 1982, Monitoring an irrigation project: Mwea, Kenya, in E. Clayton and F. Petry (eds.),Monitoring Systems for Agricultural and Rural Development Projects, FAO Economic and Social Development Paper 12, FAO, Rome, Italy.
Clayton, E. and Petry, F. (eds.), 1982,Monitoring Systems for Agricultural and Rural Development Projects, FAO Economic and Social Development Paper 12, FAO, Rome, Italy, pp. 137–156.
Clemmens, A. J., 1987, Delivery system schedules and required capacities, in D. D. Zimbelman (ed.).Planning, Operation, Rehabilitation and Automation of Irrigation Water Delivery Systems, Am. Soc. Civ. Eng., New York, pp. 18–34.
Denardo, E. V., 1982,Dynamic Programming Models and Applications, Prentice Hall, Englewood Cliffs.
Dreyfus, S. E. and Law, A. N., 1977,The Art and Theory of Dynamic Programming, Academic Press, London.
English, M. J., 1981, The uncertainty of crop models in irrigation optimization,ASAE Trans., 917–928.
FAO, 1982, Organization, operation and maintenance of irrigation schemes, J. A. Sagardoy (ed.), Irrigation and Drainage Paper 40, FAO, Rome, Italy.
Ford, L. R. and Fulkerson, D. R., 1962,Flows in Networks, Princeton University Press, Princeton.
Herath, H. M. G., 1981, An empirical evaluation of multiattribute utility theory in peasant agriculture,Oxford Agrarian Studies X, 240–254, Institute of Agricultural Economics (IAE), University of Oxford, Oxford.
Jensen, P. A. and Barnes, J. W., 1980,Network Flow Programming, Wiley, New York.
Menenti, M., Chambouleyron, J., Morábito, J., Fornero, L., and Stefanini, L., 1992, Appraisal and optimization of agricultural water use in large irrigation schemes: II. Applications,Water Resources Management 6, 201–221.
Menenti, M., Visser, T. N. M., and Chambouleyron, J., 1990, The role of remote sensing in irrigation management: A case study on allocation of irrigation water. Techn. Report No. 128, World Bank, Washington, DC, pp. 67–81.
Menenti, M., Visser, T. N. M., Morabito, J. A., and Drovandi, A., 1989, Appraisal of irrigation performance with satellite data and geo-referenced information, in J. R. Rydzwesky and K. Ward (eds.),Irrigation Theory and Practice, Pentech Press, London, pp. 785–801.
Merriam, J. L., 1987, Introduction to the need for flexibility and automation, in D. D. Zimbelman (ed.),Planning, Operation, Rehabilitation and Automation of Irrigation Water Delivery Systems, Am. Soc. Civ. Eng., New York, USA: 1–17.
Nemhauser, G. L. and Wolsey, L. A., 1988,Integer and Combinational Optimization, Wiley, New York.
Walsum, P. E. V. van, 1988, Method for allocating surface water supply in the Mendoza region (Argentina), Nota 1947. Institute for Land and Water Management Research, Wageningen, The Netherlands.
Zimbelman, D. D. (ed.), 1987,Planning, Operation, Rehabilitation and Automation of Irrigation Water Delivery Systems, Am. Soc. Civ. Eng., New York.
About this article
Cite this article
Menenti, M., Chambouleyron, J., Morábito, J. et al. Appraisal and optimization of agricultural water use in large irrigation schemes: I. Theory. Water Resour Manage 6, 185–199 (1992). https://doi.org/10.1007/BF00872355
- mathematical model
- path efficiency
- water flow
- water extraction
- water supply