Evaluation of Inference Adequacy in Cumulative Logistic Regression Models: An Empirical Validation of ISWRidge Relationships

Internal solitary wave propagation over a submarine ridge results in energy dissipation, in which the hydrodynamic interaction between a wave and ridge affects marine environment. This study analyzes the effects of ridge height and potential energy during wave-ridge interaction with a binary and cumulative logistic regression model. In testing the Global Null Hypothesis, all values are p 〈0.001, with three statistical methods, such as Likelihood Ratio, Score, and Wald. While comparing with two kinds of models, tests values obtained by cumulative logistic regression models are better than those by binary logistic regression models. Although this study employed cumulative logistic regression model, three probability functions p^1, p^2 and p^3, are utilized for investigating the weighted influence of factors on wave reflection. Deviance and Pearson tests are applied to cheek the goodness-of-fit of the proposed model. The analytical results demonstrated that both ridge height （X1 ） and potential energy （X2 ） significantly impact （p 〈 0. 0001 ） the amplitude-based refleeted rate; the P-values for the deviance and Pearson are all 〉 0.05 （0.2839, 0.3438, respectively）. That is, the goodness-of-fit between ridge height （ X1 ） and potential energy （X2） can further predict parameters under the scenario of the best parsimonious model. Investigation of 6 predictive powers （ R2, Max-rescaled R^2, Sorners＇ D, Gamma, Tau-a, and c, respectively） indicate that these predictive estimates of the proposed model have better predictive ability than ridge height alone, and are very similar to the interaction of ridge height and potential energy. It can be concluded that the goodness-of-fit and prediction ability of the cumulative logistic regression model are better than that of the binary logistic regression model.     

Evaluation of Inference Adequacy in Cumulative Logistic Regression Models： An Empirical Validation of ISW-Ridge Relationships

Internal solitary wave propagation over a submarine ridge results in energy dissipation, in which the hydrodynamic interaction between a wave and ridge affects marine environment. This study analyzes the effects of ridge height and potential energy during wave-ridge interaction with a binary and cumulative logistic regression model. In testing the Global Null Hypothesis, all values are p<0.001, with three statistical methods, such as Likelihood Ratio, Score, and Wald. While comparing with two kinds of models, tests values obtained by cumulative logistic regression models are better than those by binary logistic regression models. Although this study employed cumulative logistic regression model, three probability functions p^1, p^2 and p^3, are utilized for investigating the weighted influence of factors on wave reflection. Deviance and Pearson tests are applied to check the goodness-of-fit of the proposed model. The analytical results demonstrated that both ridge height (X1) and potential energy (X2) significantly impact (p<0.0001) the amplitude-based reflected rate; the P-values for the deviance and Pearson are all >0.05 (0.2839, 0.3438, respectively). That is, the goodness-of-fit between ridge height (X1) and potential energy (X2) can further predict parameters under the scenario of the best parsimonious model.Investigation of 6 predictive powers (R2, Max-rescaled R2, Somers'D, Gamma, Tau-a, and c, respectively) indicate that these predictive estimates of the proposed model have better predictive ability than ridge height alone, and are very similar to the interaction of ridge height and potential energy. It can be concluded that the goodness-of-fit and prediction ability of the cumulative logistic regression model are better than that of the binary logistic regression model.     

An approximated method for the solution of elliptic problems in thin domains: Application to nonlinear internal waves

Realistic numerical simulations of nonlinear internal waves (NLIWs) have been hampered by the need to use computationally expensive nonhydrostatic models. In this paper, we show that the solution to the elliptic problem arising from the incompressibility condition can be successfully approximated by a few terms (three at most) of an expansion in powers of the ratio (horizontal grid spacing)/(total depth). For an n dimensional problem, each term in the expansion is the sum of a function that satisfies a one-dimensional second-order ODE in the vertical direction plus, depending on the surface boundary condition, the solution to an n-1 dimension elliptic problem, an evident saving over having to solve the original n-dimensional elliptic problem. This approximation provides the physically correct amount of dispersion necessary to counteract the nonlinear steepening tendency of NLIWs. Experiments with different types of NLIWs validate the approach. Unlike other methods, no ad hoc artificial dispersion needs to be introduced.     

基于孔隙率的延安黄土抗剪强度模型

孔隙率对黄土抗剪强度具有非常重要的影响,然而,孔隙率对黄土抗剪强度影响效果的认识并不充分。本文以陕西省延安黄土为研究对象,开展不同孔隙率的黄土直剪试验研究,探讨了孔隙率对粘聚力与内摩擦角的定量变化关系;并以此为基础,构建了基于孔隙率的延安黄土抗剪强度模型,并对其进行了验证。研究结果表明:(1)延安黄土粘聚力与孔隙率间呈幂函数变化关系;(2)延安不同孔隙率黄土内摩擦角取值呈现出两个区间,当孔隙率n≥0.4时,其内摩擦角在25±2.5°的范围内变动,而当孔隙率n<0.4时,其内摩擦角在29.5±2°的范围内变动;(3)通过分析得到了基于孔隙率的延安黄土抗剪强度模型,且该模型得到的黄土抗剪强度理论值与实测值间的误差较小,相对误差均在7%以内,具有较高的精确度。研究成果不仅能为延安黄土抗剪强度研究等提供技术支持,而且还能为该地区的工程建设等方面提供理论参考。     

Formation control of multiple underwater vehicles subject to communication faults and uncertainties

This paper proposes a novel approach to analyze and design the formation keeping control protocols for multiple underwater vehicles in the presence of communication faults and possible uncertainties. First, we formulate the considered vehicle model as the Port-controlled Hamiltonian form, and introduce the spring-damping system based formation control. Next, the dynamics of multiple underwater vehicles under uncertain relative information is reformulated as a network of Lur’e systems. Moreover, the agents under unknown disturbances generated by an external system are considered, where the internal model is applied to tackle the uncertainties, which still can be regulated as the Lur’e systems. In each case, the formation control is derived from solving LMI problems. Finally, a numerical example is introduced to illustrate the effectiveness of the proposed theoretical approach.     

南海东北部内潮的模态结构和传播

The evolution of energy, energy flux and modal structure of the internal tides(ITs) in the northeastern South China Sea is examined using the measurements at two moorings along a cross-slope section from the deep continental slope to the shallow continental shelf. The energy of both diurnal and semidiurnal ITs clearly shows a～14-day spring-neap cycle, but their phases lag that of barotropic tides, indicating that ITs are not generated on the continental slope. Observations of internal tidal energy flux suggest that they may be generated at the Luzon Strait and propagate west-northwest to the continental slope in the northwestern SCS. Because the continental slope is critical-supercritical with respect to diurnal ITs, about 4.6 kJ/m~2 of the incident energy and 8.7 kW/m of energy flux of diurnal ITs are reduced from the continental slope to the continental shelf. In contrast, the semidiurnal internal tides enter the shelf because of the sub-critical topography with respect to semidiurnal ITs.From the continental slope to the shelf, the vertical structure of diurnal ITs shows significant variation, with dominant Mode 1 on the deep slope and dominant higher modes on the shelf. On the contrary, the vertical structure of the semidiurnal ITs is stable, with dominant Mode 1.     

基于多源卫星遥感数据的安达曼海及其邻近海域内波分布特征分析

安达曼海是内波频繁发生的海区之一,对其内波的研究是当今海洋研究的热点。本文利用2013—2016年间覆盖整个安达曼海的3 000多幅Terra/Aqua MODIS、GF-1、Landsat-8、Sentinel-1 等卫星遥感图像,从中提取和解译了内波波列线和波向信息,得到安达曼海海洋内波的时间分布特征,并绘制了内波空间分布图。结果表明,安达曼海及其邻近海域内波主要出现在4个区域:苏门答腊岛以北海域、安达曼海中部海域、安达曼海北部海域以及尼科巴群岛以西海域,尺度较大的内波主要分布在苏门答腊岛以北海域和安达曼海中部海域。在时间分布上,2013—2016年间安达曼海内波的年发生次数相近;在热季、雨季及冬季遥感都能观测到内波的发生;2-4月遥感观测到的内波最多,其次为8、9月,7月遥感观测到的内波较少,这可能是由于雨季光学影像受云影响,安达曼海海域晴空影像过少造成,还需要借助更多的遥感影像进一步证明。在波向上,安达曼海多数内波向岸传播,在苏门答腊岛北部、安达曼海中部海域,内波向东或向东南传播;在安达曼群岛东部,内波向东传播,传播一定距离后与海底地形交互作用,一部分继续向前传播,一部分产生反射,向西南方向传播至安达曼群岛;在尼科巴群岛以西海域,内波由尼科巴群岛向孟加拉湾传播。     

多类重力场模型的精度分析

分析国际公布的EGM2008、GECO和EIGEN-6C4等超高阶重力场模型及GOCO03S、GOCONSGCF2DIRR5和GOCONSGCF2TIMR5等低阶重力场模型的内符合精度。利用实测的GNSS/水准数据对各模型进行外符合精度的检核。分析6个模型在不同阶次组合的精度,进而选取可靠的截断阶次确定组合重力场模型。计算结果表明:EGM2008、GECO、EIGEN-6C4及DIRR5四个重力场模型的阶方差均保持在mm级,而GOCO03S在191阶之后的精度达到dm级,TIMR5模型在228阶之后的精度达到dm级;6个重力场模型中,EIGEN-6C4模型的累计阶方差最小;EGM2008、GECO模型的互差阶方差在高频部分呈现差异,而在超高阶部分两种模型的互差阶方差符合性好;与EGM2008模型相比,其组合重力场模型高程异常精度最优可达0.063 m,精度提升幅度为15%,与GECO模型相比,其组合重力场模型高程异常精度最优可达0.060 m,精度提升幅度为23%,与EIGEN-6C4模型相比,其对应的组合重力场模型高程异常精度最优可达0.064 m,精度提升幅度为18%,因此,组合重力场模型能提高重力场模型高程异常的精度。     

GNSS全自动解算软件研发及精度评估

根据载波相位差分定位技术,利用待定点周边稳定的CORS站网形成的区域误差改正模型,对待定控制点观测数据的噪声进行自动剔除,对电离层、对流层和多路径进行差分改正,研发GNSS全自动解算软件,并利用广西卫星定位基准站与待定控制点的GNSS观测数据对软件进行测试。结果表明,GNSS全自动解算软件具有较好的内外符合精度,其解算的三维坐标精度满足D级以下等级控制点的要求,可为工程测量应用提供新的自动化解算方案。     

弱地形上内潮生成问题——Ⅱ.粗糙地形情况下水深对内潮能通量的影响

前人在讨论水深对内潮能通量影响的时候得出结论:有限深海洋中海面对内潮的反射使得正压潮向内潮的能量转化相比较无限深海的情况显著降低,对于选定的地形,在无限深海假定下得到的能通量是该地形上内潮能通量的上限。鉴于前人所研究的基本上都是平滑的地形,而实际的海洋地形总是比较粗糙的,本文探讨了粗糙地形上内潮能通量随水深的变化。选取了弦函数地形、随机白噪声地形、弦函数地形叠加在高斯地形之上、随机白噪声地形叠加在高斯地形之上和随机白噪声地形与弦函数地形同时叠加在高斯地形之上5种情况进行了研究,发现对于这5种情况,都存在海洋有限深时的能通量大于无限深假定时的能通量,这说明前人得出的"有限深海洋中海面对内潮的反射使得正压潮向内潮的能量转化相比较无限深海的情况显著降低"的结论对于粗糙地形并不适用。