Singular value decomposition and cluster analysis as regression diagnostics tools for geodetic applications

It is well known that high-leverage observations significantly affect the estimation of parameters. In geodetic literature, mainly redundancy numbers are used for the detection of single high-leverage observations or of single redundant observations. In this paper a further objective method for the detection of groups of important and less important (and thus redundant) observations is developed. In addition, the parameters which are predominantly affected by these groups of observations are identified. This method thus complements other diagnostics tools, such as, e.g., multiple row diagnostics methods as described in statistical literature (see, e.g., Belsley et al. in Regression diagnostics: identifying influential data and sources of collinearity. Wiley, New York, 1980). The method proposed in this paper is based on geometric aspects of adjustment theory and uses the singular value decomposition of the design matrix of an adjustment problem together with cluster analysis methods for regression diagnostics. It can be applied to any geodetic adjustment problem and can be used for the detection of (groups of) observations that significantly affect the estimated parameters or that are of negligible impact. One of the advantages of the proposed method is the improvement of the reliability of observation plans and thus the reduction of the impact of individual observations (and outliers) on the estimated parameters. This is of particular importance for the very long baseline interferometry technique which serves as an application example of the regression diagnostics tool.     

电子地图多尺度显示中“放大镜”效果的实现

"放大镜"效果是电子地图多尺度表达的形式之一,能够以更多的细节显示某个或某几个重点,而其他区域则以较少的细节表示。"放大镜"效果的实现需要从数学基础、数据组织、显示调度等多方面进行改造,针对上述几方面讨论了"放大镜"效果的实现方式,并进行了实验论证。     

带乘性噪声广义系统状态最优估计算法

针对带乘性噪声广义系统,提出1种在线性最小方差意义下的状态最优估计算法.首先,采用标准分解将系统变换为2个子系统;其次,通过估计子系统的状态,获得原系统的状态最优滤波.同时,算法还给出了动态噪声与量测噪声的估计.仿真结果表明了该算法的有效性.     

Dynamics and relationships of Ca, Mg, Fe in litter, soil fauna and soil in Pinus koraiensis-broadleaf mixed forest

The Liangshui Natural Reserve in Heilongjiang Province of China was selected as the study area. The authors collected the samples of forest litter （Tilia amurensis, Fraxinus mandshurica, Pinus koraiensis, Acer mono, Betula costata, and mixed litter）, soil in humus horizon （0--5cm） and soil horizon （5-20cm）, and soil macrofauna （Oligochaeta, Geophiloporpha and Juliformia） from 2001 to 2002. The role of soil macrofauna in the material cycle was analyzed through comparing the macro-element contents among various parts of the subsystems and using enrichment index （El）. The results indicate that dynamic changes of various litters are very complicated. The contents of Fe in each kind of litter increase firstly, and then decrease in the study period. The changes of macro-element contents are greater in the broad-leaf litter than in the coniferous litter, and the mixed litter is in the middle level, but the differences among them are not significant. The contents of Mg and Fe in humus are higher than those in soil, but the contents of Ca in soil are higher than that in humus. The dynamic changes of macro-element contents in soil and soil fauna are not consistent with those in litter. The diplopod presented obvious enrichment of Ca and Mg （E1〉1）, but it does not significantly enrich Fe. Earthworm has a stronger enrichment ability of Fe than diplopod and scolopendra, but E1〈1. Soil fauna can make great influences on the material cycle of the subsystems.     

同步N-策略多重休假的M/M/C/WV排队

考虑同步N-策略多重休假和工作休假M/M/c排队,简记为M/M/c（N-WV）。在休假期间,服务员并未完全停止工作而是以较低的速率为顾客服务。用拟生灭过程与矩阵几何解方法,给出了系统稳态队长和稳态条件等待时间的分布。此外,也得到了队长和等待时间的条件随机分解结构及附加队长和附加延迟的分布。     

具有不同到达率的带有启动时间及不耐烦策略的多级适应性休假M^X/G/1排队

研究了具有不同到达率的带有启动时间及不耐烦策略的多级适应性休假M^X/G/1排队模型,通过嵌入马尔可夫链方法推导出稳态队长的母函数、等待时间的LST（先到先服务规则）,并验证了稳态队长和稳态等待时间具有随机分解性,而且给出了忙期、全忙期及在线期均值。     

A multi-scale 3-D crust velocity model in the Hefei-Chao Lake area around the southern segment of Tanlu Fault Zone

Regional high-precision velocity models of the crust are an important foundation for examining seismic activity, seismogenic environments, and disaster distribution characteristics. The Hefei-Chao Lake area contains the main geological units of Hefei Basin, with thick sediments and the Chao Lake depression. Several major concealed faults of the southern NNE-trending Tanlu Fault Zone cross this area. To further explore the underground distribution characteristics of the faults and their tectonic evolutionary relationship with adjacent tectonic units, this study used ambient noise data recorded by a seismic array deployed in Hefei City and Chao Lake, constructing a 3-D velocity model at the depth of 1–8 km. Then a multi-scale high-resolution 3-D velocity model of this area was constructed by this new upper crustal velocity model with the previous middle and lower crustal model. The new model reveals that a high-velocity belt is highly consistent with the strike of the Tanlu Fault Zone, and a low-velocity sedimentary characteristic is consistent with the Hefei Basin and Chao Lake depression. The distribution morphology of high and low velocity bodies shows that the sedimentary pattern of Hefei-Chao Lake area is closely related to the tectonic evolution of the Tanlu Fault Zone since the Mesozoic. This study also identifies multiple low-velocity anomalies in the southeastern Hefei City. We speculate that strong ground motion during the 2009 Feidong earthquake (magnitude of 3.5) was related to amplification by the thick sediments in the Hefei Basin. We also discuss further applications of multi-scale high-resolution models of the shallow layer to strong ground motion simulations in cities and for earthquake disaster assessments.     

利用DINEOF方法重构缺测的卫星遥感海温数据

针对海温数据补缺问题提出一种基于经验正交函数(EOF)分解的缺测数据重构方法--经验正交函数插值法(DINEOF).此方法是一种自适应的EOF分解方法,不需要任何先验信息,并且能估算出重构数据的误差大小.奇异值(SVD)分解时采用了Lanczos算子以提高计算速度,并利用了交叉验证的算法以确定出重构时所需最优的EOF阶数.实测数据处理结果表明,DINEOF方法能很好地重构大面积的缺测数据,具有较高精度及实际可操作性.     

经验模态法在中国沿岸海平面变化中的应用研究

我国现代海平面变化的系统研究,开始于80年代前后,主要集中于海平面年变率和预测。早期所采用的方法有直线回归法、周期法外推预测等,之后有本征分析方法、随机动态预测模型及灰色系统方法等,以上方法各有利弊,但都因为不能较精确得到海平面变化中的各种周期变化而使得预测精度较差,尤其是对于海平面变化中较长周期的分辨方面。     

西藏地表温度时空演变特征及影响因子

地表温度（land surface temperature,LST）是反映生态环境状况的重要指标。西藏作为气候变化的敏感地区,掌握其LST的时空变化有利于深入了解西藏热环境演化过程,为长期监测高原基础生态变化提供帮助。研究基于谷歌地球引擎获取西藏2000—2020年的MODIS LST数据,采用归一化分级方法对LST进行5个等级的划分,利用趋势分析、热力空间分析以及重心迁移等方法分析了研究区近20年来的LST时空演变特征。同时,选取归一化植被指数（normalized difference vegetation index,NDVI）、裸土指数（bare soil index,BI）、垂直不透水面指数（perpendicular impervious surface index,PISI）、湿度（WET）以及高程（digital elevation model,DEM）等5个影响LST的地表参数,结合多尺度地理加权回归,探讨了LST影响因子的作用尺度与作用效力。结果表明：2000—2020年,西藏LST均值由18.72℃上升至20.28℃,年均增长0.09℃,LST呈现微弱上升态势。2...