Study on water production function and efficiency of wheat
Received date: 2004-08-05
Revised date: 2004-11-15
Online published: 2005-02-15
Water is scarce in the North China Plain and the limited precipitation is not enough to satisfy the water requirement for wheat growth. In order to avoid reduction of output caused by scarcity of water, irrigation is necessary to supplement water. This paper discusses the relationship between the amount of irrigation and the yield of wheat. Statistical analysis of experimental data of irrigation indicates that the relationship between yield of wheat and irrigation presents a quadratic parabola in North China. We fit the model of wheat water production function by adopting least squares theory on the basis of field experimental data of wheat. Water production function is quadratic function and its math expression is Y=-0.0027ET 2+2.8647ET-127.91. Water productivity is divided into three different development stages according to the changing rule of water use efficiency and the relationship between yield and water consumption. Water consumtion being less than 217.66mm is identified as the first stage when yield rises with the rise of water consumption, and productivity rises gradually at this stage. Water consumption at the second stage rises from 217.66mm to 530.50mm and the yield still rises with the rise of water consumption, but the range of rise reduces. The productivity rises slowly.Water consumption at the third stage exceeds 530.50mm and the yield reduces with the rise of water consumption. Negative rise occurs and productivity declines. The analysis of wheat irrigation production function under typical irrigation system indicates that the best point of irrigation efficiency of wheat is not the highest point of utilization ratio of water or the highest point of yield. The best point of irrigation efficiency of wheat is decided by the principle that marginal revenue is equal to the marginal cost. When marginal benefit equals marginal cost, net income of irrigation of wheat is the biggest. The maximal net income is 4816.49 yuan/ha, and irrigation water is 265.00mm at this time. Compared with the irrigation of the maximal yield, it saves 17.85mm of water . Making rational use of wheat water irrigation production function and its regularity can realize the better unification of water-saving, high-yield and high-efficiency of wheat.
LIU Chang-ming, ZHUO Chang-qing, ZHANG Shi-feng, WANG Xiao-li . Study on water production function and efficiency of wheat[J]. GEOGRAPHICAL RESEARCH, 2005 , 24(1) : 1 -10 . DOI: 10.11821/yj2005010001
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