Abstract
Water management is one of the fundamental principles for comprehensive management and water security and is affected in various ways by the degradation of watersheds, mainly the agriculture sector due to the reduction of water resources and soil erosion. The objective of this research was to implement a dynamic model for the water management of the Quebrada de Togllahuayco as a modeling and dynamic prediction tool and thus determine the quantity of water available for a sustainable quinoa crop and the adaptation to future conditions. This work involves the use of dynamic modeling applied to water supply for irrigation with a general model and the application for the ancestral population of La Toglla. A trend model with incidence of climate change and a current one under the initial variables is proposed. The Vensim 7.3.4 free software was used, determining a positive water balance to satisfy the needs of water, both to preserve the ecological flow and to use water for irrigation, since approximately 10,500 m3 is needed for cultivation, which is favorable for the use of water.
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