American Journal of Business and Operations Research AJBOR 2692-2967 2770-0216 10.54216/AJBOR https://www.americaspg.com/journals/show/3904 2018 2018 Al-Qadisiya Governorate Education Directorate, Iraq Zahraa Zahraa The palm orchards resource is one of the most important economic sources of advantage for the southern and central regions of Iraq. Trees and products obtained from their processing are used in many areas of human life, for example, furniture of various specifications, household and interior items, construction, chemistry, etc. Orchards themselves are also important ecosystems and a necessary element when creating safe living conditions for humans (processing carbon dioxide into oxygen) and plants and animals living in them. Irrational clearing of orchards and trees can not only lead to disruptions in the economic systems of enterprises, but also have a disastrous impact on the health of people living in these territories. In this regard, the purpose of this article is to formalize the system of interaction between objects of the horticultural industry and arable land, which in turn will make it possible to create an effective and rational model of logging at the level of an individual territorial entity. The relationships developed by the authors can be used for a simulation modeling system based on one of the active approaches in development - agent-based modeling. To solve the mentioned problem, general scientific methods such as generalization, systematization, logical-inductive deductions, analysis, scientific synthesis method, etc. were used to determine the specific numerical characteristics of the simulated objects, their parameters and variables. Methods and tools of mathematical statistics were used, tested because of regional statistics of the orchard industry in the Basra region. The results obtained will be useful for forming computer models of orchard management at the regional level, which in turn will allow one to calculate the optimal number of participants in a particular economic direction, and will show the dynamics in which the orchard area will be restored after the removal of orchards. The work carried out by the authors of the study may be of interest to various specialists of the executive authorities involved in the regulation of laws and rights in the forestry sector; commercial enterprises trying to rationalize their activities, while achieving maximum economic returns and efficiency and causing minimal harm to the environment; as well as subject specialists working in the direction of modeling effective simulation systems. 2025 2025 77 84 10.54216/AJBOR.120206 https://www.americaspg.com/articleinfo/1/show/3904