刘殿锋, 刘艳芳. 一种知识约束下的多目标土壤空间抽样优化模型[J]. 武汉大学学报 ( 信息科学版), 2014, 39(11): 1282-1286.
引用本文: 刘殿锋, 刘艳芳. 一种知识约束下的多目标土壤空间抽样优化模型[J]. 武汉大学学报 ( 信息科学版), 2014, 39(11): 1282-1286.
Liu Dianfeng, Liu Yanfang. A Knowledge-informed Model for Soil Spatial Sampling Design Based on Multi-objective Particle Swarm Optimization Algorithm[J]. Geomatics and Information Science of Wuhan University, 2014, 39(11): 1282-1286.
Citation: Liu Dianfeng, Liu Yanfang. A Knowledge-informed Model for Soil Spatial Sampling Design Based on Multi-objective Particle Swarm Optimization Algorithm[J]. Geomatics and Information Science of Wuhan University, 2014, 39(11): 1282-1286.

一种知识约束下的多目标土壤空间抽样优化模型

A Knowledge-informed Model for Soil Spatial Sampling Design Based on Multi-objective Particle Swarm Optimization Algorithm

  • 摘要: 土壤空间抽样优化需要综合考虑抽样精度、成本、代表性以及样点数量与空间布局等多目标,属于典型的NP-Hard空间优化决策问题。先验知识的应用以及多目标的博弈能够有效地提高抽样精度和效率。通过研究土壤空间抽样先验知识及其空间分层技术,以及土壤空间抽样方案与粒子群算法映射关系,建立了基于知识约束下多目标粒子群算法的土壤空间抽样优化模型。模型以最小克里全方差和最大嫡为抽样目标,以分层最小样本量、空间阻隔和可达性为约束条件,结合目标规划法进行多目标帕累托优化方案求解,并以陕西省横山县为实验区验证了模型的有效性。实验结果表明,该模型相比传统方法具有较高的收敛效率和抽样精度,先验知识与目标规划法的应用显著提升了抽样方案代表性,能够为土壤空间抽样以及土壤质量监测网络构建提供新的技术支撑。

     

    Abstract: Spatial sampling optimization for soil variables must reconcile the conflicts between the acuracy,survey budget,amount and spatial pattern of sampling points,a classic NP-Hard problem.Numerous studies prove that priori information and multi-objective optimization techniques can im-prove sampling efficiency and accuracy. We evaluated the effects of priori information and spatialstratification technique,and mapped the relationship between the particle and soil sampling solution,and proposed a spatial sampling optimization model for soil variables on the basis of a knowledge-in-formed multi-objective particle swarm optimization algorithm. The model combines minimum Krigingvariance and maximum entropy as the objectives,and optimal sampling size,spatial interval betweensampling sites and spatial accessibility as the sampling constraints,and employs goal programmingmethod to solve the multi-objective optimization problem. A case study was conducted in Hengshancounty of Shaanxi province in China to validate the model. The results show that the model features ahigher convergence rate and sampling accuracy than the traditional methods,and the combination ofpriori information and goal programming technique improves the representation of sampling solutionssignificantly. This model could be widely beneficial in soil sampling and monitoring.

     

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