Abstract

The article proposes an ecological-mathematical model to optimize the production of agricultural products, taking into account the risks associated with climatic events. The model describes a combination of crop and livestock production on irrigated and non-irrigated agricultural land. In this model, the target function characterizes the maximum income and damage to the environment as a result of farming in conditions of natural risks. Restrictions describe the availability of land and labor resources, production volumes, soil and water pollution, erosion of agricultural land, the combination of crop and livestock products in conditions of severe droughts or heavy rainfall. When implementing the model, a special case was considered: an ecological-mathematical model for non-irrigated lands, taking into account severe drought. The proposed model is implemented on the example of an agricultural enterprise in the Irkutsk region, which is subject to significant risks caused by extreme climatic events, primarily drought.

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