放射性碳测年国际比对活动的初步结果

中国科学院地球环境研究所^14C实验室作为中国唯一的代表参加了第四届放射性碳测年国际比对活动(FIRI），取得了比较优异的成绩。初步分析了本届比对活动的测年结果，得出如下结论：不同的^14C测年方法对测年结果无明显的影响，不同现代碳标准的选择对大部分样品的测年结果有较明显的影响，而采用不同的本底物质仅对老年龄样品的定年有显著影响；加速器质诺测年法在各种^14C测年方法中最准确、精度最高，正逐渐成为国际^14C测年方法的主流。     

Non-stationary covariance function modelling in 2D least-squares collocation

Standard least-squares collocation (LSC) assumes 2D stationarity and 3D isotropy, and relies on a covariance function to account for spatial dependence in the observed data. However, the assumption that the spatial dependence is constant throughout the region of interest may sometimes be violated. Assuming a stationary covariance structure can result in over-smoothing of, e.g., the gravity field in mountains and under-smoothing in great plains. We introduce the kernel convolution method from spatial statistics for non-stationary covariance structures, and demonstrate its advantage for dealing with non-stationarity in geodetic data. We then compared stationary and non- stationary covariance functions in 2D LSC to the empirical example of gravity anomaly interpolation near the Darling Fault, Western Australia, where the field is anisotropic and non-stationary. The results with non-stationary covariance functions are better than standard LSC in terms of formal errors and cross-validation against data not used in the interpolation, demonstrating that the use of non-stationary covariance functions can improve upon standard (stationary) LSC.     

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Determination of Postglacial Land Uplift in Fennoscandia from Leveling, Tide-gauges and Continuous GPS Stations using Least Squares Collocation

Precise leveling, tide-gauge recordings and time series from continuous GPS stations are all sources of information about the ongoing postglacial land uplift in Fennoscandia. This article describes how to gather these three sources of data together in a least-squares collocation adjustment in order to calculate uplift rates, as well as new heights for the benchmarks in the leveling network. The estimated reliability of the resulting uplift model is in general better than 0.4 mm/year, decreasing in areas of fewer data.A smoother and extended version of the land uplift model described here is used in the adjustment of the new height system in Sweden (RH 2000) under the name RH 2000 LU. Later on, the name was changed to NKG2005LU. The Finnish Geodetic Institute (FGI) has decided to use the same model when they calculate their new height system, N2000.     

Geosat／GM波形重跟踪反演中国沿海区域重力异常

利用Geosat/GM测高波形数据,在中国海域内(117°E～129°E,21°N～41°N)比较了阈值法、Beta5和改进阈值法三种重跟踪算法.分析表明,改进阚值法优于其他两种重跟踪方法.由改进阈值法的测高数据.分别采用最小二乘法(least sqlilare collocation,LSC)和逆Vening-Meinesz(IVM)计算了卫星测高重力异常,并与船测重力数据进行了比较.结果显示,LSC的精度优于IVM.与KMS02和Sandwell & Smith V15两个重力场模型相比较,本文结果在东海优于这两个模型,在台湾海域结果稍差,需要融合ERS-1等其他数据进一步提高精度.     

最小二乘配置中粗差的可发现性和可区分性问题

研究最小二来配置中粗差与随机信号的区分性问题。从观测值残差和信号估值及其统计性质出发，根据高斯马尔可夫模型两个备选假设理论，给出了最小二来配置模型中观测粗差的可区分且可发现的表达式。     

The Use of Second-generation Wavelets to Combine a Gravimetric Quasigeoid Model with GPS-levelling Data

The merging of a gravimetric quasigeoid model with GPS-levelling data using second-generation wavelets is considered so as to provide better transformation of GPS ellipsoidal heights to normal heights. Since GPS-levelling data are irregular in the space domain and the classical wavelet transform relies on Fourier theory, which is unable to deal with irregular data sets without prior gridding, the classical wavelet transform is not directly applicable to this problem. Instead, second-generation wavelets and their associated lifting scheme, which do not require regularly spaced data, are used to combine gravimetric quasigeoid models and GPS-levelling data over Norway and Australia, and the results are cross-validated. Cross-validation means that GPS-levelling points not used in the merging are used to assess the results, where one point is omitted from the merging and used to test the merged surface, which is repeated for all points in the dataset. The wavelet-based results are also compared to those from least squares collocation (LSC) merging. This comparison shows that the second-generation wavelet method can be used instead of LSC with similar results, but the assumption of stationarity for LSC is not required in the wavelet method. Specifically, it is not necessary to (somewhat arbitrarily) remove trends from the data before applying the wavelet method, as is the case for LSC. It is also shown that the wavelet method is better at decreasing the maximum and minimum differences between the merged geoid and the cross-validating GPS-levelling data.     

Astronomical-topographic levelling using high-precision astrogeodetic vertical deflections and digital terrain model data

At the beginning of the twenty-first century, a technological change took place in geodetic astronomy by the development of Digital Zenith Camera Systems (DZCS). Such instruments provide vertical deflection data at an angular accuracy level of 0.̋1 and better. Recently, DZCS have been employed for the collection of dense sets of astrogeodetic vertical deflection data in several test areas in Germany with high-resolution digital terrain model (DTM) data (10–50 m resolution) available. These considerable advancements motivate a new analysis of the method of astronomical-topographic levelling, which uses DTM data for the interpolation between the astrogeodetic stations. We present and analyse a least-squares collocation technique that uses DTM data for the accurate interpolation of vertical deflection data. The combination of both data sets allows a precise determination of the gravity field along profiles, even in regions with a rugged topography. The accuracy of the method is studied with particular attention on the density of astrogeodetic stations. The error propagation rule of astronomical levelling is empirically derived. It accounts for the signal omission that increases with the station spacing. In a test area located in the German Alps, the method was successfully applied to the determination of a quasigeoid profile of 23 km length. For a station spacing from a few 100 m to about 2 km, the accuracy of the quasigeoid was found to be about 1–2 mm, which corresponds to a relative accuracy of about 0.05−0.1 ppm. Application examples are given, such as the local and regional validation of gravity field models computed from gravimetric data and the economic gravity field determination in geodetically less covered regions.     

用卫星测高和船测重力资料联合反演海洋重力异常

基于多颗卫星最新测高资料联合解算的全球平均海平面和中国近海船测重力异常数据,采用3种方法 (Stokes公式逆运算法、垂线偏差法、最小二乘配置法)分别计算了中国近海及其邻域(0°～40°N,105°～145°E)2′× 2′重力异常,重点对3种方法的优缺点及其计算结果进行了比较和分析。结果表明,在海底地形起伏较为强烈的南 海盆地,与船测重力异常比较,最小二乘配置法(LSC)计算精度较高,达到11.2×10-5ms-2。