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An Extended Kriging Method to Interpolate Near-Surface Soil Moisture Data Measured by Wireless Sensor Networks

机译:一种扩展的克里格法对无线传感器网络测得的近地表土壤水分数据进行插值

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摘要

In the practice of interpolating near-surface soil moisture measured by a wireless sensor network (WSN) grid, traditional Kriging methods with auxiliary variables, such as Co-kriging and Kriging with external drift (KED), cannot achieve satisfactory results because of the heterogeneity of soil moisture and its low correlation with the auxiliary variables. This study developed an Extended Kriging method to interpolate with the aid of remote sensing images. The underlying idea is to extend the traditional Kriging by introducing spectral variables, and operating on spatial and spectral combined space. The algorithm has been applied to WSN-measured soil moisture data in HiWATER campaign to generate daily maps from 10 June to 15 July 2012. For comparison, three traditional Kriging methods are applied: Ordinary Kriging (OK), which used WSN data only, Co-kriging and KED, both of which integrated remote sensing data as covariate. Visual inspections indicate that the result from Extended Kriging shows more spatial details than that of OK, Co-kriging, and KED. The Root Mean Square Error (RMSE) of Extended Kriging was found to be the smallest among the four interpolation results. This indicates that the proposed method has advantages in combining remote sensing information and ground measurements in soil moisture interpolation.
机译:在通过无线传感器网络(WSN)网格插值近地表土壤水分的实践中,具有辅助变量的传统Kriging方法(例如Co-kriging和带有外部漂移的Kriging(KED))由于异构性而无法获得令人满意的结果土壤水分及其与辅助变量的低相关性。这项研究开发了一种扩展的克里格方法,可以借助遥感图像进行插值。基本思想是通过引入频谱变量并在空间和频谱组合空间上进行操作来扩展传统的Kriging。该算法已应用于HiWATER活动中WSN测得的土壤湿度数据,以生成2012年6月10日至7月15日的每日地图。为了进行比较,使用了三种传统的Kriging方法:普通Kriging(OK),仅使用WSN数据,Co -kriging和KED,它们都将遥感数据集成为协变量。目视检查表明,与OK,Co-kriging和KED相比,Extended Kriging的结果显示了更多的空间细节。发现扩展克里格法的均方根误差(RMSE)在四个插值结果中最小。这表明该方法在土壤湿度插值中将遥感信息与地面测量相结合具有优势。

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