Optimization model of an irrigation reservoir for water allocation and crop planning under various weather conditions |
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Authors: | P E Georgiou D M Papamichail |
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Institution: | (1) Department of Hydraulics, Soil Science and Agricultural Engineering, Faculty of Agriculture, Aristotle University of Thessaloniki, 54124 Thessaloniki, Greece |
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Abstract: | This paper develops a non-linear programming optimization model with an integrated soil water balance, to determine the optimal
reservoir release policies, the irrigation allocation to multiple crops and the optimal cropping pattern in irrigated agriculture.
Decision variables are the cultivated area and the water allocated to each crop. The objective function of the model maximizes
the total farm income, which is based on crop–water production functions, production cost and crop prices. The proposed model
is solved using the simulated annealing (SA) global optimization stochastic search algorithm in combination with the stochastic
gradient descent algorithm. The rainfall, evapotranspiration and inflow are considered to be stochastic and the model is run
for expected values of the above parameters corresponding to different probability of exceedence. By combining various probability
levels of rainfall, evapotranspiration and inflow, four weather conditions are distinguished. The model takes into account
an irrigation time interval in each growth stage and gives the optimal distribution of area, the water to each crop and the
total farm income. The outputs of this model were compared with the results obtained from the model in which the only decision
variables are cultivated areas. The model was applied on data from a planned reservoir on the Havrias River in Northern Greece,
is sufficiently general and has great potential to be applicable as a decision support tool for cropping patterns of an irrigated
area and irrigation scheduling. |
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Keywords: | |
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