Multi-Objective Optimization Model for Irrigation Water Allocation: A Case Study of Nduruma Catchment-Arusha, Tanzania

Ibrahim Fanuel, Allen Mushi


In Tanzania, management of land and water resources is considered an absolutely strategic priority for agricultural development. In this study, a Multi-Objective optimization (MOO) model was formulated to utilize the available water by identifying the best crop patterns which maximize the farm total net benefit and minimize the total variable costs. The data for 6 crops collected from Nkoanrua region and FAO were used for the model analysis. The Subdivision Algorithm which is a set oriented numerical method was used to analyse the model. After 54 subdivision steps, the model proposed that, the amount of land allocated to crops which are less profitable depends on the minimum requirement constraints, while, for more profitable crops, the allocation is based on costs of production, minimum and maximum requirement constraints, Benefit, and water requirements. Lastly, the sensitivity analysis shows that, the price and production costs for carrots and maize has no impact on the model solutions.

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