MATHEMATICAL MODELLING OF THE FACTORS OF LAND USE OF THE OBJECTS OF THE NATURE RESERVE FUND OF THE REGIONS

K. Mamonov, R. Viatkin, E. Shterndok, A. Shterndok
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Abstract

It has been proven that the land use level of the nature reserve fund objects is decreasing, and their condition is being disturbed based on unjustified construction, in particular. In this context, forming a quantitative basis for decision-making through implementing mathematical modelling of the land use factors of the nature reserve fund objects of the regions is particularly relevant. As a result of the generalisation of theoretical approaches, we proposed a definition of ‘land use monitoring of the nature reserve fund objects of the regions’ as a set of legal, constructive, complex, organisational, functional, and instrumental directions aimed at the formation of informational, analytical, and spatial support regarding the state and level of land use of the nature reserve fund objects at the regional level using mathematical modelling methods, which creates a quantitative basis for permanent tracking and control over the use of the nature reserve fund objects. The purpose of the study is to use mathematical modelling tools to establish cause-and-effect relationships between the factors of land use of the nature reserve fund objects of the regions. In this context, the study has solved the following tasks: highlighting the practical aspects of mathematical modelling of the factors of land use of the nature reserve fund objects of the regions; characterisation of the adequacy criteria of the established relationships between the integral indicator of the level of land use of the nature reserve fund objects of the regions and factors using the method of neural networks. The results of mathematical modelling allow for forecasting changes in the integral indicator of the level of land use of the nature reserve fund objects of the regions depending on the relevant factors and for offering scientifically based recommendations for the development and implementation of monitoring of the formation of land use of the nature reserve fund objects of the regions. The conducted analysis of the adequacy of the developed mathematical models of the influence of factors on the integral indicator of the level of land use of the nature reserve fund objects of the regions using the neural network method made it possible to confirm the completeness and reliability of the established relationships based on the low values ​​of the relative error of the test sample. Keywords: land use, objects of the natural reserve fund of the regions, methods, mathematical modelling, monitoring.
地区自然保护区基金对象土地使用因素的数学建模
事实证明,自然保护基金对象的土地利用水平正在下降,特别是由于不合理的建设,其状况正在受到破坏。在这种情况下,通过对各地区自然保护区的土地利用要素进行数学建模,为决策提供定量依据就显得尤为重要。在对理论方法进行归纳总结后,我们提出了 "地区自然储备基金对象土地利用监测 "的定义,即一系列法律的、建设性的、复杂的、组织的、功能性的和工具性的方向,旨在利用数学建模方法形成有关地区自然储备基金对象土地利用状况和水平的信息、分析和空间支持,为永久跟踪和控制自然储备基金对象的使用情况奠定量化基础。该研究的目的是利用数学建模工具建立各地区自然保护基金对象土地使用因素之间的因果关系。在此背景下,研究解决了以下任务:强调各地区自然保护基金对象土地利用因素数学模型的实用性;利用神经网络方法确定各地区自然保护基金对象土地利用水平综合指标与各因素之间既定关系的适当性标准。数学建模的结果可以预测各地区自然保护区基金目标土地利用水平综合指标在相关因素影响下的变化,并为制定和实施对各地区自然保护区基金目标土地利用形成的监测提供有科学依据的建议。利用神经网络方法对所建立的各因素对各地区自然保护区土地利用水平综合指标影响的数学模型的适当性进行了分析,根据测试样本相对误差的低值,确认了所建立关系的完整性和可靠性。
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