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Empirical comparison between stochastic and deterministic modifiers over the French Auvergne geoid computation test-bed
Survey Review ( IF 1.2 ) Pub Date : 2021-01-17 , DOI: 10.1080/00396265.2021.1871821
R. Goyal 1, 2 , J. Ågren 3, 4 , W.E. Featherstone 1, 2 , L.E. Sjöberg 5 , O. Dikshit 1 , N. Balasubramanian 1
Affiliation  

Since 2006, several different groups have computed geoid and/or quasigeoid (quasi/geoid) models for the Auvergne test area in central France using various approaches. In this contribution, we compute and compare quasigeoid models for Auvergne using Curtin University of Technology’s and the Swedish Royal Institute of Technology’s approaches. These approaches differ in many ways, such as their treatment of the input data, choice of type of spherical harmonic model (combined or satellite-only), form and sequence of correction terms applied, and different modified Stokes’s kernels (deterministic or stochastic). We have also compared our results with most of the previously reported studies over Auvergne in order to seek any improvements with respect to time [exceptions are when different subsets of data have been used]. All studies considered here compare the computed quasigeoid models with the same 75 GPS-levelling heights over Auvergne. The standard deviation for almost all of the computations (without any fitting) is of the order of 30–40 mm, so there is not yet any clear indication whether any approach is necessarily better than any other nor improving over time. We also recommend more standardisation on the presentation of quasi/geoid comparisons with GPS-levelling data so that results from different approaches over the same areas can be compared more objectively.



中文翻译:

法国奥弗涅大地水准面计算试验台上随机和确定性修正的经验比较

自 2006 年以来,几个不同的小组使用各种方法计算了法国中部奥弗涅试验区的大地水准面和/或准大地水准面(准/大地水准面)模型。在这篇文章中,我们使用科廷理工大学和瑞典皇家理工学院的方法计算和比较了奥弗涅的准大地水准面模型。这些方法在许多方面有所不同,例如它们对输入数据的处理、球谐模型类型的选择(组合或仅卫星)、应用的校正项的形式和顺序以及不同的修正斯托克斯核(确定性或随机性)。我们还将我们的结果与大多数先前报道的关于奥弗涅的研究进行了比较,以寻求在时间方面的任何改进[使用不同的数据子集时例外]。这里考虑的所有研究都将计算出的准大地水准面模型与奥弗涅上空相同的 75 个 GPS 水准高度进行了比较。几乎所有计算(没有任何拟合)的标准偏差约为 30-40 毫米,因此尚无明确迹象表明任何方法是否一定比任何其他方法更好,也没有随着时间的推移而改进。我们还建议在准/大地水准面比较与 GPS 水准测量数据的呈现上更加标准化,以便更客观地比较同一区域不同方法的结果。所以目前还没有任何明确的迹象表明任何方法是否一定比任何其他方法更好,也没有随着时间的推移而改进。我们还建议在准/大地水准面比较与 GPS 水准测量数据的呈现上更加标准化,以便更客观地比较同一区域不同方法的结果。所以目前还没有任何明确的迹象表明任何方法是否一定比任何其他方法更好,也没有随着时间的推移而改进。我们还建议在准/大地水准面比较与 GPS 水准测量数据的呈现上更加标准化,以便更客观地比较同一区域不同方法的结果。

更新日期:2021-01-17
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