CWEEE  Vol.10 No.1 , January 2021
Investigation of the Relationship among Water and Crop Production under Bounded Irrigation Conditions
Abstract: Water scarcity is relative and variable concept that can occur at any level of supply and demand. It is also a social construct, which is linked to the intervention in the water cycle and changes over time as a result of natural hydrological change. It is more severe when water acts as a backbone in economic policies, planning and management methods. Water scarcity can be expected to increase with most forms of economic development, but, if properly identified, many of its causes can be expected and avoided or mitigated. However, the limited irrigation management is considered a very important issue in the agricultural scope. Therefore, in this study, the relationship between water, crop production, photosynthesis, crop transpiration, crop growth, crop yields and water use efficiency have been discussed under limited irrigation conditions. However, the crops have some ability to adapt and resist against limited irrigation. Hence, under high temperate conditions, this is a shortage of water and photosynthesis is decreased with a pore (stoma) restraining. At the same time, the evapotranspiration reaches to the utmost value and the water use efficiency rises because of optimal monitoring of leaf pore (stoma). Therefore, the modality which is the reduction of the risks and improving industrial control in incomplete irrigation are the chief constraints of providing irrigation water in the future, which leads to increased crop production and ultimately providing a provision of food security.
Cite this paper: Shareef, T. , Ma, Z. , Chen, J. and Niu, X. (2021) Investigation of the Relationship among Water and Crop Production under Bounded Irrigation Conditions. Computational Water, Energy, and Environmental Engineering, 10, 18-35. doi: 10.4236/cweee.2021.101002.

[1]   Rost, S., Gerten, D., Bondeau, A., Lucht, W., Rohwer, J. and Schaphoff, S. (2008) Agricultural Green and Blue Water Consumption and Its Influence on the Global Water System. Water Resources Research, 44, W09405.

[2]   Hoekstra, A.Y. and Chapagain, A.K. (2006) Water Footprints of Nations: Water Use by People as a Function of Their Consumption Pattern. In: Integrated Assessment of Water Resources and Global Change, Springer, Dordrecht, 35-48.

[3]   Ceriotti, M., Fang, W., Kusalik, P.G., McKenzie, R.H., Michaelides, A., Morales, M.A. and Markland, T.E. (2016) Nuclear Quantum Effects in Water and Aqueous Systems: Experiment, Theory, and Current Challenges. Chemical Reviews, 116, 7529-7550.

[4]   Gerland, P., Raftery, A.E., Sevcíková, H., Li, N., Gu, D., Spoorenberg, T. and Bay, G. (2014) World Population Stabilization Unlikely This Century. Science, 346, 234-237.

[5]   Desa, U. (2018) Revision of World Urbanization Prospects. UN Department of Economic and Social Affairs, New York, 16.

[6]   World Population Prospects 2019.

[7]   Postel, S. (2014) The Last Oasis: Facing Water Scarcity. Routledge, London.

[8]   Mekonnen, M.M. and Hoekstra, A.Y. (2016) Four Billion People Facing Severe Water Scarcity. Science Advances, 2, e1500323.

[9]   Mancosu, N., Snyder, R.L., Kyriakakis, G. and Spano, D. (2015) Water Scarcity and Future Challenges for Food Production. Water, 7, 975-992.

[10]   Glick, B.R., Penrose, D.M. and Li, J. (1998) A Model for the Lowering of Plant Ethylene Concentrations by Plant Growth-Promoting Bacteria. Journal of Theoretical Biology, 190, 63-68.

[11]   Davies, P.J. (2010) The Plant Hormones: Their Nature, Occurrence, and Functions. In: Plant Hormones, Springer, Dordrecht, 1-15.

[12]   Jensen, M.E. (1968) Water Consumption by Agricultural Plants (Chapter 1).

[13]   Waraich, E.A., Ahmad, R., Ashraf, M.Y., Saifullah and Ahmad, M. (2011) Improving Agricultural Water Use Efficiency by Nutrient Management in Crop Plants. Acta Agriculturae Scandinavica, Section B Soil & Plant Science, 61, 291-304.

[14]   Molden, D., Oweis, T., Steduto, P., Bindraban, P., Hanjra, M.A. and Kijne, J. (2010) Improving Agricultural Water Productivity: Between Optimism and Caution. Agricultural Water Management, 97, 528-535.

[15]   Wichelns, D. (2002) An Economic Perspective on the Potential Gains from Improvements in Irrigation Water Management. Agricultural Water Management, 52, 233-248.

[16]   Fischer, R.A. and Maurer, R. (1978) Drought Resistance in Spring Wheat Cultivars. I. Grain Yield Responses. Australian Journal of Agricultural Research, 29, 897-912.

[17]   Rao, N.H., Sarma, P.B.S. and Chander, S. (1992) Real-Time Adaptive Irrigation Scheduling under a Limited Water Supply. Agricultural Water Management, 20, 267-279.

[18]   Kang, S., Liang, Z., Hu, W. and Zhang, J. (1998) Water Use Efficiency of Controlled Alternate Irrigation on Root-Divided Maize Plants. Agricultural Water Management, 38, 69-76.

[19]   Kang, S., Shi, W. and Zhang, J. (2000) An Improved Water-Use Efficiency for Maize Grown under Regulated Deficit Irrigation. Field Crops Research, 67, 207-214.

[20]   Bacon, M. (2009) Water Use Efficiency in Plant Biology. John Wiley & Sons, Hoboken.

[21]   Scholasch, T. and Rienth, M. (2019) Review of Water Deficit Mediated Changes in Vine and Berry Physiology; Consequences for the Optimization of Irrigation Strategies. OENO One, 53, 521-530.

[22]   Bradford, K.J. and Hsiao, T.C. (1982) Physiological Responses to Moderate Water Stress. In: Physiological Plant Ecology II, Springer, Berlin, 263-324.

[23]   Skirycz, A. and Inzé, D. (2010) More from Less: Plant Growth under Limited Water. Current Opinion in Biotechnology, 21, 197-203.

[24]   Uhart, S.A. and Andrade, F.H. (1995) Nitrogen Deficiency in Maize: I. Effects on Crop Growth, Development, Dry Matter Partitioning, and Kernel Set. Crop Science, 35, 1376-1383.

[25]   Frey, N.M. (1981) Dry Matter Accumulation in Kernels of Maize. Crop Science, 21, 118-122.

[26]   Ghrab, M., Sahli, A. and Ben Mechlia, N. (1997) Reduction in Vegetative Growth and Fruit Quality Improvement in the Peach Variety “Carnival” through Moderate Watering Restrictions. IV International Peach Symposium, Vol. 465, 601-608.

[27]   Vitale, L., Di Tommasi, P., Arena, C., Riondino, M., Forte, A., Verlotta, A., Fierro, A., De Santo, A.V., Fuggi, A. and Magliulo, V. (2009) Growth and Gas Exchange Response to Water Shortage of a Maize Crop on Different Soil Types. Acta Physiologiae Plantarum, 31, 331-341.

[28]   Dhanda, S.S., Sethi, G.S. and Behl, R.K. (2002) Inheritance of Seedling Traits under Drought Stress Conditions in Bread Wheat. Cereal Research Communications, 30, 293-300.

[29]   Aviram, M., Dornfeld, L., Rosenblat, M., Volkova, N., Kaplan, M., Coleman, R. and Fuhrman, B. (2000) Pomegranate Juice Consumption Reduces Oxidative Stress, Atherogenic Modifications to LDL, and Platelet Aggregation: Studies in Humans and in Atherosclerotic Apolipoprotein E-Deficient Mice. The American Journal of Clinical Nutrition, 71, 1062-1076.

[30]   Dib, T.A., Monneveux, P.H., Acevedo, E. and Nachit, M.M. (1994) Evaluation of Proline Analysis and Chlorophyll Fluorescence Quenching Measurements as Drought Tolerance Indicators in Durum Wheat (Triticum turgidum L. var. durum). Euphytica, 79, 65-73.

[31]   Schussler, J.R. and Westgate, M.E. (1994) Increasing Assimilate Reserves Does Not Prevent Kernel Abortion at Low Water Potential in Maize. Crop Science, 34, 1569-1576.

[32]   Bonelli, L.E., Monzon, J.P., Cerrudo, A., Rizzalli, R.H. and Andrade, F.H. (2016) Maize Grain Yield Components and Source-Sink Relationship as Affected by the Delay in Sowing Date. Field Crops Research, 198, 215-225.

[33]   Eck, H.V. (1986) Effects of Water Deficits on Yield, Yield Components, and Water Use Efficiency of Irrigated Corn 1. Agronomy Journal, 78, 1035-1040.

[34]   Misra, R.K. and Chaudhary, T.N. (1985) Effect of a Limited Water Input on Root Growth, Water Use and Grain Yield of Wheat. Field Crops Research, 10, 125-134.

[35]   Akram, M. (2011) Growth and Yield Components of Wheat under Water Stress of Different Growth Stages. Bangladesh Journal of Agricultural Research, 36, 455-468.

[36]   Hsiao, T.C. and Acevedo, E. (1975) Plant Responses to Water Deficits, Water-Use Efficiency, and Drought Resistance. In: Developments in Agricultural and Managed Forest Ecology, Vol. 1, Elsevier, Amsterdam, 59-84.

[37]   Ghooshchi, F., Seilsepour, M. and Jafari, P. (2008) Effects of Water Stress on Yield and Some Agronomic Traits of Maiz [SC 301]. World Journal of Agricultural Sciences, 4, 684-687.

[38]   Römer, C., Wahabzada, M., Ballvora, A., Pinto, F., Rossini, M., Panigada, C. and Kersting, K. (2012) Early Drought Stress Detection in Cereals: Simplex Volume Maximisation for Hyperspectral Image Analysis. Functional Plant Biology, 39, 878-890.

[39]   Mi, N., Cai, F., Zhang, Y., Ji, R., Zhang, S. and Wang, Y. (2018) Differential Responses of Maize Yield to Drought at Vegetative and Reproductive Stages. Plant, Soil and Environment, 64, 260-267.

[40]   Bowman, W.D. (1989) The Relationship between Leaf Water Status, Gas Exchange, and Spectral Reflectance in Cotton Leaves. Remote Sensing of Environment, 30, 249-255.

[41]   Padhi, J., Misra, R.K. and Payero, J.O. (2012) Estimation of Soil Water Deficit in an Irrigated Cotton Field with Infrared Thermography. Field Crops Research, 126, 45-55.

[42]   Jovanovic, N.Z., Annandale, J.G. and Mhlauli, N.C. (1999) Field Water Balance and SWB Parameter Determination of Six winter Vegetable Species. Water SA, 25, 191-196.

[43]   Meron, M., Grimes, D.W., Phene, C.J. and Davis, K.R. (1987) Pressure Chamber Procedures for Leaf Water Potential Measurements of Cotton. Irrigation Science, 8, 215-222.

[44]   Philip, J.R. (1966) Plant Water Relations: Some Physical Aspects. Annual Review of Plant Physiology, 17, 245-268.

[45]   Taiz, L., Zeiger, E., M øller, I.M. and Murphy, A. (2015) Plant Physiology and Development. Sinauer Associates, Sunderland.

[46]   García-Tejera, O., López-Bernal, á., Testi, L. and Villalobos, F.J. (2017) A Soil-Plant-Atmosphere Continuum (SPAC) Model for Simulating Tree Transpiration with a Soil Multi-Compartment Solution. Plant and Soil, 412, 215-233.

[47]   Santini, A. (1992) Modelling Water Dynamics in the Soil-Plant-Atmosphere System for Irrigation Problems. Excerpta of the Italian Contributions to the Field of Hydraulic Engineering, 6, 133-166.

[48]   Yang, Y., Shang, S. and Guan, H. (2012) Development of a Soil-Plant-Atmosphere Continuum Model (HDS-SPAC) Based on Hybrid Dual-Source Approach and Its Verification in Wheat Field. Science China Technological Sciences, 55, 2671-2685.

[49]   Lu, J. and Lu, H. (2019) Enhanced Cd Transport in the Soil-Plant-Atmosphere Continuum (SPAC) System by Tobacco (Nicotiana tabacum L.). Chemosphere, 225, 395-405.

[50]   Dong, X., Peng, B., Liu, X., Qin, K., Xue, Q. and Leskovar, D.I. (2019) An Automated Calculation of Plant Root Distribution Parameters Based on Root Length Density Data. Applied Ecology and Environmental Research, 17, 3545-3552.

[51]   Pérez-Harguindeguy, N., Diaz, S., Gamier, E., Lavorel, S., Poorter, H., Jaureguiberry, P. and Urcelay, C. (2013) New Handbook for Standardised Measurement of Plant Functional Traits Worldwide. Australian Journal of Botany, 61, 167-234.

[52]   Fereres, E. and Soriano, M.A. (2006) Deficit Irrigation for Reducing Agricultural Water Use. Journal of Experimental Botany, 58, 147-159.

[53]   Caldwell, M.M. (1976) Root Extension and Water Absorption. In: Water and Plant Life, Springer, Berlin, 63-85.

[54]   Fiscus, E.L. and Markhart, A.H. (1979) Relationships between Root System Water Transport Properties and Plant Size in Phaseolus. Plant Physiology, 64, 770-773.

[55]   Li, P., Tan, H., Wang, J., Cao, X. and Yang, P. (2019) Evaluation of Water Uptake and Root Distribution of Cherry Trees under Different Irrigation Methods. Water, 11, 495.

[56]   Pierret, A., Maeght, J.L., Clément, C., Montoroi, J.P., Hartmann, C. and Gonkhamdee, S. (2016) Understanding Deep Roots and Their Functions in Ecosystems: An Advocacy for More Unconventional Research. Annals of Botany, 118, 621-635.

[57]   Wan, C., Sosebee, R.E. and McMichael, B.L. (1994) Hydraulic Properties of Shallow vs. Deep Lateral Roots in a Semiarid Shrub, Gutierrezia sarothrae. American Midland Naturalist, 131, 120-127.

[58]   Skogerboe, G.V. (1979) Potential Effects of Irrigation Practices on Crop Yields in Grand Valley (Vol. 1). Environmental Protection Agency, Office of Research and Development, Robert S. Kerr Environmental Research Laboratory, Ada.

[59]   Carefoot, J.M. and Major, D.J. (1994) Effect of Irrigation Application Depth on Cereal Production in the Semi-Arid Climate of Southern Alberta. Irrigation Science, 15, 9-16.

[60]   Lamm, F.R. and Stone, L.R. (2005) Summer Crop Production as Related to Irrigation Capacity. Proceedings of the Central Plains Irrigation Conference, Sterling, 16-17 February 2005, 51-67.

[61]   Rietra, R.P., Heinen, M., Dimkpa, C.O. and Bindraban, P.S. (2017) Effects of Nutrient Antagonism and Synergism on Yield and Fertilizer Use Efficiency. Communications in Soil Science and Plant Analysis, 48, 1895-1920.

[62]   DaMatta, F.M., Loos, R.A., Silva, E.A., Loureiro, M.E. and Ducatti, C. (2002) Effects of Soil Water Deficit and Nitrogen Nutrition on Water Relations and Photosynthesis of Pot-Grown Coffea canephora Pierre. Trees, 16, 555-558.

[63]   Urban, L., Aarrouf, J. and Bidel, L.P. (2017) Assessing the Effects of Water Deficit on Photosynthesis Using Parameters Derived from Measurements of Leaf Gas Exchange and of Chlorophyll a Fluorescence. Frontiers in Plant Science, 8, 2068.

[64]   Liu, E.K., Mei, X.R., Yan, C.R., Gong, D.Z. and Zhang, Y.Q. (2016) Effects of Water Stress on Photosynthetic Characteristics, Dry Matter Translocation and WUE in Two Winter Wheat Genotypes. Agricultural Water Management, 167, 75-85.

[65]   Escalona, J.M., Flexas, J. and Medrano, H. (2000) Stomatal and Non-Stomatal Limitations of Photosynthesis under Water Stress in Field-Grown Grapevines. Functional Plant Biology, 27, 87-87.

[66]   Zhou, S., Duursma, R.A., Medlyn, B.E., Kelly, J.W. and Prentice, I.C. (2013) How Should We Model Plant Responses to Drought? An Analysis of Stomatal and Non-Stomatal Responses to Water Stress. Agricultural and Forest Meteorology, 182, 204-214.

[67]   Lawlor, D.W. (2002) Limitation to Photosynthesis in Water-Stressed Leaves: Stomata vs. Metabolism and the Role of ATP. Annals of Botany, 89, 871-885.

[68]   Lawlor, D.W. and Tezara, W. (2009) Causes of Decreased Photosynthetic Rate and Metabolic Capacity in Water-Deficient Leaf Cells: A Critical Evaluation of Mechanisms and Integration of Processes. Annals of Botany, 103, 561-579.

[69]   Fritschen, L.J. and Shaw, R.H. (1961) Transpiration and Evapotranspiration of Corn as Related to Meteorological Factors. Agronomy Journal, 53, 71-74.

[70]   Liu, D.L. and Liu, X.Z. (2006) Study on Transpiration of Maize with Greenspan Stem Flow Gauge. Research of Soil and Water Conservation, 13, 134-137.

[71]   Kuiper, P.J.C. and Bierhuizen, J.F. (1958) The Effect of Some Environmental Factors on the Transpiration of Plants under Controlled Conditions (No. 58 (11)) Veenman.

[72]   Anderson, J.E. (1982) Factors Controlling Transpiration and Photosynthesis in Tamarix chinensis Lour. Ecology, 63, 48-56.

[73]   Zhang, Y.J., Gao, H., Li, Y.H., Wang, L., Kong, D.S., Guo, Y.Y., Lu, Y.L., et al. (2019) Effect of Water Stress on Photosynthesis, Chlorophyll Fluorescence Parameters and Water Use Efficiency of Common Reed in the Hexi Corridor. Russian Journal of Plant Physiology, 66, 556-563.

[74]   Stead, J.G. and Stead, W.E. (2009) Management for a Small Planet. 3rd Edition, ME Sharpe, Armonk.

[75]   Colombo, A., Rizzi, A., Tosca, A. and D’Angelo, G. (2005) Rationalization of the Use of Water in Vegetable and Nursery Crops. Fondazione Minoprio, Vertemate con Minoprio.

[76]   Rzayev, M.A. (2018) Future Rationalization of Irrigated Agriculture: Multilevel Analyses for Salyan Steppe, Azerbaijan Republic.

[77]   Van Donk, S.J., Martin, D.L., Irmak, S., Melvin, S.R., Petersen, J.L. and Davison, D.R. (2010) Crop Residue Cover Effects on Evaporation, Soil Water Content, and Yield of Deficit-Irrigated Corn in West-Central Nebraska. Transactions of the ASABE, 53, 1787-1797.

[78]   Zhang, G., Shen, D., Ming, B., Xie, R., Jin, X., Liu, C., Liu, W., et al. (2019) Using Irrigation Intervals to Optimize Water-Use Efficiency and Maize Yield in Xinjiang, Northwest China. The Crop Journal, 7, 322-334.

[79]   Agele, S.O., Iremiren, G.O. and Ojeniyi, S.O. (2011) Evapotranspiration, Water Use Efficiency and Yield of Rainfed and Irrigated Tomato. International Journal of Agriculture and Biology, 13, 469-476.

[80]   De Jager, J.M. and Van Zyl, W.H. (1989) Atmospheric Evaporative Demand and Evaporation Coefficient. Water SA, 15, 103-110.

[81]   Zhang, J.T. and Wang, B.X. (2003) Study on the Interfacial Evaporation of Aqueous Solution of SDS Surfactant Self-Assembly Monolayer. International Journal of Heat and Mass Transfer, 46, 5059-5064.

[82]   Lascano, R.J. and Baumhardt, R.L. (1996) Effects of Crop Residue on Soil and Plant Water Evaporation in a Dryland Cotton System. Theoretical and Applied Climatology, 54, 69-84.

[83]   Chen, S.Y., Zhang, X.Y., Pei, D., Sun, H.Y. and Chen, S.L. (2007) Effects of Straw Mulching on Soil Temperature, Evaporation and Yield of Winter Wheat: Field Experiments on the North China Plain. Annals of Applied Biology, 150, 261-268.

[84]   Ritchie, J.T. and Johson, B.S. (1990) Soil and Plant Factors Affecting Evaporation. ASA, CSSA and SSSA Agronomy Monographs No. 30, Madison, 363-390.

[85]   Granger, R.J. and Hedstrom, N. (2011) Modelling Hourly Rates of Evaporation from Small Lakes. Hydrology and Earth System Sciences, 15, 267-277.

[86]   Balugani, E., Lubczynski, M.W., Reyes-Acosta, L., Van Der Tol, C., Francés, A.P. and Metselaar, K. (2017) Groundwater and Unsaturated Zone Evaporation and Transpiration in a Semi-Arid Open Woodland. Journal of Hydrology, 547, 54-66.

[87]   Katul, G. and Novick, K. (2009) Evapotranspiration. In: Likens, G.E., Ed., Encyclopedia of Inland Waters, Elsevier, Amsterdam, 661-667.

[88]   Levidow, L., Zaccaria, D., Maia, R., Vivas, E., Todorovic, M. and Scardigno, A. (2014) Improving Water-Efficient Irrigation: Prospects and Difficulties of Innovative Practices. Agricultural Water Management, 146, 84-94.

[89]   Fan, M., Shen, J., Yuan, L., Jiang, R., Chen, X., Davies, W.J. and Zhang, F. (2011) Improving Crop Productivity and Resource Use Efficiency to Ensure Food Security and Environmental Quality in China. Journal of Experimental Botany, 63, 13-24.

[90]   Singh, A., Aggarwal, N., Aulakh, G.S. and Hundal, R. (2012) Ways to Maximize the Water Use Efficiency in Field Crops: A Review. Greener Journal of Agricultural Sciences, 2, 108-129.

[91]   Bennett, D.R. and Harms, T.E. (2011) Crop Yield and Water Requirement Relationships for Major Irrigated Crops in Southern Alberta. Canadian Water Resources Journal, 36, 159-170.

[92]   Djaman, K., Irmak, S., Rathje, W.R., Martin, D.L. and Eisenhauer, D.E. (2013) Maize Evapotranspiration, Yield Production Functions, Biomass, Grain Yield, Harvest Index, and Yield Response Factors under Full and Limited Irrigation.

[93]   Zhang, Y.Q., Kendy, E., Qiang, Y., Liu, C.M., Shen, Y.J. and Sun, H.Y. (2004) Effect of Soil Water Deficit on Evapotranspiration, Crop Yield, and Water Use Efficiency in the North China Plain. Agricultural Water Management, 64, 107-122.

[94]   Liu, M.-X., Yang, J.-S., Li, X.-M., Yu, M. and Wang, J. (2011) Effects of Irrigation Amount and Frequency on Soil Water Distribution and Water Use Efficiency in a Cotton Field under Mulched Drip Irrigation. Yingyong Shengtai Xuebao, 22, 3203-3210.

[95]   Zhang, D., Li, R., Batchelor, W.D., Ju, H. and Li, Y. (2018) Evaluation of Limited Irrigation Strategies to Improve Water Use Efficiency and Wheat Yield in the North China Plain. PLoS ONE, 13, e0189989.

[96]   Hansen, V.E., Israelson, O.W. and Stringham, G.E. (1980) Irrigation Principles and Practices. 4th Edition, Wiley, Hoboken.

[97]   Dukes, M.D., Zotarelli, L., Liu, G.D. and Simonne, E.H. (2012) Principles and Practices of Irrigation Management for Vegetables.


[99]   Schneekloth, J., Bauder, T. and Hansen, N. (2009) Limited Irrigation Management: Principles and Practices. Crop Series Irrigation No. 4.720.

[100]   O’Leary, G.J. and Connor, D.J. (1996) A Simulation Model of the Wheat Crop in Response to Water and Nitrogen Supply: I. Model Construction. Agricultural Systems, 52, 1-29.


[102]   Rao, N.H., Sarma, P.B.S. and Chander, S. (1988) A Simple Dated Water-Production Function for Use in Irrigated Agriculture. Agricultural Water Management, 13, 25-32.

[103]   Igbadun, H.E., Tarimo, A.K., Salim, B.A. and Mahoo, H.F. (2007) Evaluation of Selected Crop Water Production Functions for an Irrigated Maize Crop. Agricultural Water Management, 94, 1-10.

[104]   De Wit, C.T. and Penning de Vries, F.W.T. (1985) Predictive Models in Agricultural Production. Philosophical Transactions of the Royal Society of London. B, Biological Sciences, 310, 309-315.

[105]   Smilovic, M., Gleeson, T. and Adamowski, J. (2016) Crop Kites: Determining Crop-Water Production Functions Using Crop Coefficients and Sensitivity Indices. Advances in Water Resources, 97, 193-204.

[106]   Wada, Y., Flörke, M., Hanasaki, N., Eisner, S., Fischer, G., Tramberend, S. and Wiberg, D. (2016) Modeling Global Water Use for the 21st Century: Water Futures and Solutions (WFaS) Initiative and Its Approaches. Geoscientific Model Development, 9, 175-222.

[107]   Marques, G.F., Lund, J.R. and Howitt, R.E. (2005) Modeling Irrigated Agricultural Production and Water Use Decisions under Water Supply Uncertainty. Water Resources Research, 41, W08423.