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基于区间优化模型的土地利用结构弹性区间测算

         

摘要

Uncertainty is normally ignored in land use planning, leading to the over-tight constraints, and the failure of the plan. Although scholars have paid attention to the elastic space of the planning, little has been done to calculate the magnitude of the space. This paper attempts to measure the elastic space of the land use structure using the spatial optimization model based on the consideration of uncertainty, so as to assist the designation of the elastic space of land use planning. The land use structure can be view as the outcome of the social and economic activities that are practiced on the land, thus social and economic activities and land use structure can be taken as the independent variables and dependent variables, respectively. Since the index of social and economic activities is subject to uncertainty, the land use structure is also subject to uncertainty, and this uncertainty can be reflected in the elastic space of land use structure. This paper begins with an introduction of the definition of a spatial optimization model and the standard form used in the study. It then proceeds to the determination of the magnitude of the space in the spatial optimization model. We obtained the distribution of the uncertainty index by conducting a survey among the experts who have a good knowledge concerning the local land use. We then calculated the magnitude of the space when the probability equals 80% (the upper and lower limit is the 90% and 10% quantile in the distribution of the uncertainty index). The best optimal value and the worst optimal value of land use and the corresponding land use structure can be calculated using the spatial optimal model. Finally, based on the space composed of the two types of land use structure, the elastic space that meets the requirement of an effective vector density can be calculated using the software. This space is the elastic space of land use when the uncertainty index equals 80%. We found that:1) The best optimal value of the land use for Yangzhou City is 1.72×109 thousand yuan, and the worst optimal value of the land use is 6.77×108 thousand Chinese yuan;2) The contribution of different types of land use to the uncertainty is measured by the magnitude of the space, with the water area, the forest land, and the land for transportation have made the largest contribution to the uncertainty, and the unused land has made the least contribution;3) The sensitivity to the uncertainty is measured by the ratio of the magnitude of the space to the area of the land that is used at present, with the forest land and the land used for transportation are among those are most sensitive to the uncertainty, and the farm land is among those are least sensitive to the uncertainty.%  土地利用规划忽视未来不确定性,而令规划束缚过紧,导致规划失效。虽然目前规划编制规程与规划理论界较重视规划弹性研究,而对弹性空间大小一直未有科学测算,于是该文基于区间优化模型计量土地利用结构弹性区间,以为土地规划中弹性空间大小划定提供参考借鉴。该文首先介绍区间优化模型的一般概况与用到的标准形式,以及模型中区间数大小确定的根据;其次以江苏扬州为例计算最好最优值与最差最优值对应的土地利用结构区间,以该区间为基础用计算机程序求取当区间中有效向量的密度达一定要求时的土地利用结构弹性区间。结果表明,2020年扬州土地利用最好最优值是1.72×108万元,最差最优值是6.77×107万元。不同土地类型中,对不确定性承纳贡献最大的是水域、林地、交通水利用地,而最小是未利用地。不同用地中对不确定因素变化敏感性最大的是林地、交通水利用地,而敏感性最小是耕地。该研究成果为土地利用规划中不同用地弹性空间大小划定提供了理论支撑与科学方法。

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