Global optimization of deficit irrigation systems using evolutionary algorithms

Water is a limited resource and the dramatically increasing world population requires a significant increase in food production. For improving both crop yield and water use efficiency, the usual optimization strategy in furrow irrigation at the field level considers scheduling parameters, i.e. when and how much to irrigate, as well as control parameters, i.e. the intensity and the irrigation time, for each water application. Optimizing control and schedule parameters in irrigation is considered as a nested problem. The objective of the global optimization is to achieve maximum crop yield with a given, but limited water volume, which can be arbitrary distributed over the number of irrigations. It is difficult to solve the global optimization problem, because the target function has many locally optimal solutions and the number of optimization variables, i.e. the number of irrigations is unknown a-priori. For this reason, a made to measure evolutionary optimisation technique (EA) is employed to find a near-optimal solution of the global optimization problem within acceptable computational time. The results provided by the new optimization strategy are compared with the popular SCE-UA optimization algorithm and Mesh-Adaptive Direct Search (MADS). The comparison demonstrated a striking superiority of the new tool with respect to both the achieved irrigation efficiency and the required computational time.

[1]  Subhash Chander,et al.  Irrigation scheduling under a limited water supply , 1988 .

[2]  Jean Claude Mailhol Contribution à l'amélioration des pratiques d'irrigation à la raie par une modélisation simplifiée à l'échelle de la parcelle et de la saison , 2001 .

[3]  Albert J. Clemmens,et al.  Irrigation Performance Measures: Efficiency and Uniformity , 1997 .

[4]  Rafael L. Bras,et al.  Intraseasonal water allocation in deficit irrigation , 1981 .

[5]  Jorge A. Ramírez,et al.  Optimal Stochastic Multicrop Seasonal and Intraseasonal Irrigation Control , 1997 .

[6]  C. D. Gelatt,et al.  Optimization by Simulated Annealing , 1983, Science.

[7]  Teuvo Kohonen,et al.  Self-Organizing Maps , 2010 .

[8]  Gary B. Fogel,et al.  Noisy optimization problems - a particular challenge for differential evolution? , 2004, Proceedings of the 2004 Congress on Evolutionary Computation (IEEE Cat. No.04TH8753).

[9]  Viliam Novák,et al.  Estimation of soil-water extraction patterns by roots , 1987 .

[10]  S. Sorooshian,et al.  Shuffled complex evolution approach for effective and efficient global minimization , 1993 .

[11]  M Smith,et al.  [CROPWAT: a computer program for irrigation planning and management]. [Spanish] , 1992 .

[12]  Gerd H. Schmitz,et al.  Mathematical Zero-Inertia Modeling of Surface Irrigation: Advance in Borders , 1990 .

[13]  Niels Schütze,et al.  Self‐organizing maps with multiple input‐output option for modeling the Richards equation and its inverse solution , 2005 .

[14]  Narendra Singh Raghuwanshi,et al.  Economic Optimization of Furrow Irrigation , 1997 .