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永久基本农田中非耕地地块补划方法研究OA

Research on the method for replacement of non-cultivated land parcels in permanent basic farmland

中文摘要英文摘要

设立永久基本农田是我国土地管理的重要举措,但其中部分历史划定地块为非耕地或低质量耕地,需要调出并按照"面积平衡""集中连片"等原则在现有非永久基本农田的耕地中补划.现有地块补划方法多以整块耕地为操作单元,难以同时满足面积精确匹配与空间邻接性要求.为此,本研究提出一种基于Delaunay三角剖分所生成的三角网中三类三角形相对位置关系的地块补划方法.首先采用Delaunay三角剖分将属于耕地的不规则多边形分割为若干三角形单元;其次通过交叉三角形(亦称"跨接三角形")确定地块主体结构与分支结构,优先补划属于分支结构的地块,并依据面积约束与邻接性优先原则选择候选三角形,当选中的候选三角形面积累加值大于目标补划面积时,使用二分法分割当前三角形;最后迭代处理需要补划的地块,形成完整的地块补划方案.研究结果表明,该方法能够在保证调入地块面积不低于调出地块面积的前提下,提高补划地块与耕地内永久基本农田的空间连片度,显著增强邻接性,同时减少对应地图数据中碎图斑的数量,有效解决永久基本农田进出平衡中的面积与布局双重约束问题,提升补划结果的可行性与空间优化水平,对于促进耕地保护和国土空间规划领域的相关研究具有重要意义.

The designation of permanent basic farmland is a crucial measure in China's land management.However,some historically delineated parcels are currently non-cultivated land or low-quality cropland,which need to be removed and replaced with existing cultivated land beyond permanent basic farmland,following principles such as areal"equivalence"and"contiguous aggregation".Existing methods for parcel supplementation often operate at the scale determined by the selected individual cultivated land parcels,making it difficult to simultaneously satisfy the requirements of precise area matching and spatial adjacency.To solve the problem,this study proposes a parcel supplementation method based on the relative positional relationships of three triangle types within a triangular network generated by the Delaunay Triangulation.Firstly,Delaunay Triangulation is employed to partition irregular polygons representing cropland into multiple triangular units.Subsequently,the main structure and branches of each parcel are identified by using"cross triangle"(also referred to as"bridging triangles").Sub-parcels belonging to branch structures are prioritized for supplementation,and candidate triangles are selected based on area constraints and adjacency priority principles.When the cumulative area of the selected candidate triangles exceeds the target supplementation area,the current triangle is subdivided employing the bisection method.Finally,the parcels requiring supplementation are processed iteratively to form a complete parcel supplementation scheme.Research results indicate that this method can ensure the supplemented area is no less than the removed area,while improving the spatial contiguity between the supplemented parcels and the existing permanent basic farmland within the cultivated land.It significantly enhances adjacency,reduces the number of fragmented patches in the corresponding map data,effectively resolves the dual constraints of area and layout in the balance of permanent basic farmland adjustments,and improves the feasibility and spatial optimization level of the supplementation results.This holds significant importance for advancing related research in the fields of cultivated land protection and territorial spatial planning.

刘小慧;毛政元

福州大学数字中国研究院(福建),福州 350108福州大学数字中国研究院(福建),福州 350108

天文与地球科学

永久基本农田进出平衡地块补划空间优化三角剖分

permanent basic farmlandin-out balanceland parcel replacementspace optimizationtriangulation

《华中师范大学学报(自然科学版)》 2026 (2)

236-245,10

自然资源部东南生态脆弱区监测修复工程技术创新中心开放基金项目(KY-030000-04-2024-031).

10.19603/j.cnki.1000-1190.2026.02.007

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