Mathematical model for scheduling irrigation for swamp rice in Port Harcourt L.G.A, Nigeria

U. Chiwetalu, M. Ayotamuno, E. Obio
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Abstract

The thirst for increased food production and management of our natural resources (water) is increasing on daily basis and there is a great need for proper utilization of such important resource. Nigerian farmers today still rely on rainfall for cultivation of food crops, this is simply because they do not have the knowledge of irrigation scheduling and timing and it has affected the rate at which food crops are produced in our country. The formula of a mathematical model that can predict the required amount of irrigation water for swamp rice in Port Harcourt L.G.A. of Nigeria was the main objective of this work. Thus, the formula or the model is given as; d 2 = d 1 + E RF + I + I p – ET c . The maximum and minimum values of water depth (d max and d min ) required in the field were determined to be 320.32mm and160mm respectively. The result showed that, the model was able to augment the water need of the planted crop except in weeks 5 and 6 which have the values of d 2 (final water depth in the field) as 135.69mm and 120.07mm respectively. While the mother model indicated that the planted crops will be under severe water stress because the values of their d 2 were below the allowable range of water depletion except in weeks 1,7,10,16 and 17 with their d 2 values to be; 178.50mm, 181.47mm, 162.11mm, 198.80mm and 187.60mm respectively. Water application is made on the field whenever the water level is at or below d min . The result of the correlation analysis for the two models was obtained to be 0.002796. This showed that the two models have a strong non linear relationship between them. Keywords: Mathematical model, irrigation, Water, swamp rice
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尼日利亚哈科特港沼泽稻灌溉调度的数学模型
对增加粮食生产和管理我们的自然资源(水)的渴望日益增加,因此非常需要适当利用这一重要资源。尼日利亚农民今天仍然依靠降雨来种植粮食作物,这仅仅是因为他们不了解灌溉计划和时机,这影响了我国粮食作物的产量。本研究的主要目的是建立一个数学模型公式,预测尼日利亚哈科特港(Port Harcourt L.G.A.)沼泽稻所需的灌溉水量。因此,公式或模型为:d2 = d1 + E RF + I + I p - ET c。确定了现场所需的最大水深为320.32mm,最小水深为160mm。结果表明:除了第5周和第6周的d2值(田间最终水深)分别为135.69mm和120.07mm外,该模型能够增加作物的需水量。而母模型表明,除第1、7、10、16、17周的d值为外,种植作物的d值均低于允许耗水量范围,因此将受到严重的水分胁迫;分别为178.50mm、181.47mm、162.11mm、198.80mm和187.60mm。当水位等于或低于d min时,在现场进行浇水。两个模型的相关分析结果为0.002796。这说明两个模型之间存在很强的非线性关系。关键词:数学模型,灌溉,水,沼泽稻
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