土壤Hg和NDVI全局均值估计的样本点权重调整方法
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国家重点研发计划项目(2021YFD1500203)、北京市自然科学基金项目(8192015)和国家自然科学基金项目(41801276)


Weight Adjustment Method of Sampling Sites for Global Mean Estimation of Hg and NDVI
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    摘要:

    样本点权重调整是统计推断样本点属性全局均值的重要手段。以北京市顺义区农业用地样本点为例,提出了一种面向全局均值估计的样本点权重调整方法——泰森多边形权重调整法。首先构建样本点类型划分规则,将样本点划分为聚集样本点、稀疏样本点和均匀样本点;其次针对不同类型样本点,分别确定样本点权重调整量和调整规则并进行样本点权重调整;最后以农业用地土壤重金属Hg含量及NDVI(归一化植被指数)数据为例,设置与原始样本点(无权重调整)、常规面积比例权重调整法的对比实验,通过2种评价参数的全局均值相对误差分别评价不同样本点权重调整方法的数据纠偏效果。结果表明:2个聚集样本点权重减小,权重分别为0.609和0.883;1个稀疏样本点权重增大,权重为1.068;63个均匀样本点权重不变,权重为1;泰森多边形权重调整法统计推断农业用地土壤重金属Hg含量和NDVI的全局均值估计相对误差(0.413%、1.617%)小于原始样本点(1.056%、2.500%)和常规面积比例权重调整法(2.933%、2.941%),表明该权重调整方法的样本点全局均值估计更加准确、可靠。

    Abstract:

    Weight adjustment of the sampling sites is an important means of the statistical inference for the global mean of sampling sites attributes. Taking the sampling sites of agricultural land in Shunyi District, Beijing as an example, weight adjustment method (Thiessen polygon weight adjustment method) of sampling sites for global mean estimation was proposed. Firstly, the type division rules of sampling sites were constructed to divide the sampling sites into aggregated, sparse and even sampling sites. Secondly, weight adjustment amounts and adjustment rules for different types of sampling sites were determined, and the weights of the sampling sites were adjusted, respectively. Finally, taking soil heavy metal Hg content and NDVI data of agricultural land as an example, a comparative experiment between Thiessen polygon weight adjustment method and the original sampling sites (without weight adjustment) and the conventional area ratio weight adjustment method was set up to quantitatively evaluate the global mean estimation effect of different weight adjustment methods based on the relative errors of two evaluation parameters. The results suggested that the weights of the two aggregated sampling sites were reduced, and the weights were 0.609 and 0.883, respectively. The weight of one sparse sampling site was increased, and the weights was 1.068. The weights of sixty-three even sampling sites remained unchanged, and the weights of each sampling sites was 1. The relative errors (0.413%, 1.617%) of the global mean estimated by the Thiessen polygon weight adjustment method statistical inference were smaller than those of estimated by the original sampling sites (1.056%, 2.500%) and the conventional area proportional weight adjustment method (2.933%, 2.941%), respectively. It was shown that the global mean estimation of the sampling sites for the Thiessen polygon weight adjustment method was much more accurate and reliable.

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张东悦,朱庆伟,董士伟,潘瑜春,吴亚楠,谭梦岩.土壤Hg和NDVI全局均值估计的样本点权重调整方法[J].农业机械学报,2022,53(3):338-345. ZHANG Dongyue, ZHU Qingwei, DONG Shiwei, PAN Yuchun, WU Ya’nan, TAN Mengyan. Weight Adjustment Method of Sampling Sites for Global Mean Estimation of Hg and NDVI[J]. Transactions of the Chinese Society for Agricultural Machinery,2022,53(3):338-345.

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  • 收稿日期:2021-12-03
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  • 在线发布日期: 2022-03-10
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