Spatial interpolation using nonlinear mathematical programming models for estimation of missing precipitation records     

Ramesh S.V. Teegavarapu 《水文科学杂志》2013,58(3):383-406

Abstract

New mathematical programming models are proposed, developed and evaluated in this study for estimating missing precipitation data. These models use nonlinear and mixed integer nonlinear mathematical programming (MINLP) formulations with binary variables. They overcome the limitations associated with spatial interpolation methods relevant to the arbitrary selection of weighting parameters, the number of control points within a neighbourhood, and the size of the neighbourhood itself. The formulations are solved using genetic algorithms. Daily precipitation data obtained from 15 rain gauging stations in a temperate climatic region are used to test and derive conclusions about the efficacy of these methods. The developed methods are compared with some naïve approaches, multiple linear regression, nonlinear least-square optimization, kriging, and global and local trend surface and thin-plate spline models. The results suggest that the proposed new mathematical programming formulations are superior to those obtained from all the other spatial interpolation methods tested in this study.

Editor D. Koutsoyiannis; Associate editor S. Grimaldi

Citation Teegavarapu, R.S.V., 2012. Spatial interpolation using nonlinear mathematical programming models for estimation of missing precipitation records. Hydrological Sciences Journal, 57 (3), 383–406.  相似文献   

空间光滑活动模型在东部海域地震危险性评价中的应用     

张力方  吕悦军  兰景岩  谢卓娟 《地震研究》2013,36(3)

以中国东部近海海域(25～41°N,117～126°E)为研究区域,基于区域地震构造背景和地震活跃水平等资料划分地震构造单元,依次采用基于地震目录的圆形高斯光滑模型和断层导向性的椭圆光滑模型的地震活动参数评价方法,计算各网格点的地震发生率.并利用网格源的地震危险性概率评价方法,由不同输入地震目录得到该区域50年超越概率10％的加速度峰值区划结果.  相似文献   

Image smoothing of multispectral imagery based on the HNN and geo-statistics     

Nguyen Quang Minh 《遥感学报》2011,15(3):640-644

A new method for image down-scaling using geostatistical interpolation or smoothing based on the Hopfi eld Neural Network (HNN) and zero semivariance value is introduced. The method utilises the smoothing effect of the semivariogram matching process to produce the smoothened sub-pixel multispectral (MS) image with smaller RMSEs in comparison with the bilinear interpolation. In fact, the zero semivariograms increase the spatial correlation between the adjacent sub-pixels of the superresolution image. Containing higher spatial correlation, the resulting super-resolution MS image has smaller RMSEs compared with the original coarse image.  相似文献   

基于最小二乘法道路平面曲线拟合   总被引：2，自引：0，他引：2  

高盼  郭广礼 《测绘信息与工程》2011,36(2):19-21

结合最小二乘法的基本原理,利用其进行道路平面曲线拟合,实例表明,与三次样条函数设计计算结果接近,同样能满足路线设计要求,且简化了计算过程,在平面设计工作中具有很强的实用性。  相似文献   

三角网格模型剖分方法的研究与应用   总被引：1，自引：0，他引：1  

高阳  冯西会  汶小刚  张岩 《中国煤炭地质》2013,(10):48-52

数值波场正演在地震学和勘探地球物理学领域正得到越来越广泛的应用,用一个好的方法来建立一个复杂的地质模型则显得尤为关键。三角网格模型相对于层状模型和矩形网格模型在反映地质界面形态、三角网格剖分个数调节及射线追踪速度等方面具有明显优势。利用三角网格剖分的建模方法,在VC2008编程环境下实现了复杂地质模型的描述。通过对复杂模型的建模测试,表明采用三角网格剖分方法,可解决以下模型难题：①对复杂模型界面的描述;②对复杂逆断层的描述;③对封闭块体的描述;④对模型弹性参数进行描述。  相似文献   

新疆地震活动区的地磁观测与研究   总被引：1，自引：1，他引：0       下载免费PDF全文

顾左文  高金田  陈斌  袁洁浩 《地球物理学进展》2008,23(3):652-661

新疆地区是中国最活跃的地震区之一.为了监测新疆地区潜在的强烈地震,2003年在该地区建立了N和S两个地磁测网并进行了地磁三分量测量.在N和S两个测网所选建的51个测点周围环境良好,地磁梯度小,适宜地磁测量.在野外测量中,使用性能稳定可靠的G-856磁力仪、DI磁力仪与GPS仪器,应用GPS测定方位角,DI磁力仪测量地磁偏角D与倾角I,G-856磁力仪测量总强度F.应用新疆地区乌鲁木齐与喀什地磁台站的资料,分别通化了N和S两个测网的地磁测量资料.该地磁通化值的平均标准偏差σ为:F的σf=0.20 nT;D的σd=0.06′;I的σI=0.03′,表明地磁测量资料准确可靠.根据上述地磁测量资料,应用精度高的spline方法,得到了N与S测网地磁场及其异常场的分布.结果表明,该地磁场及其异常场的分布,可以准确地描述N与S测网的地磁场及其地磁异常场.该地磁分布为今后在新疆地区的震磁研究与地震监测提供了良好的地磁参考场.  相似文献   

基于指数平滑法与回归分析相结合的滑坡预测   总被引：12，自引：0，他引：12  

尹光志  张卫中  张东明  康钦容 《岩土力学》2007,28(8):1725-1728

滑坡时间预报研究是滑坡研究中的一个热门课题。以实际监测数据为基础,把指数平滑法与非线性回归分析法结合起来;以滑坡的变形值和变形速率为判据,对滑坡进行时间失稳的动态跟踪预报。根据某滑坡的实际情况,对部分监测点位移进行了建模和预测,预测结果表明,该方法具有较高的精度,可以应用于实际工程。  相似文献   

C^k-Reconstruction of Surfaces from Partial Data     

Dominique Apprato  Christian Gout  Pascale Sénéchal 《Mathematical Geology》2000,32(8):969-983

In this paper, we study the problem of constructing a smooth approximant of a surface defined by the equation z = f(x ₁, x ₂), the data being a finite set of patches on this surface. This problem occurs, for example, after geophysical processing such as migration of time-maps or depth-maps. The usual algorithms to solve this problem are picking points on the patches to get Lagrange's data or trying to get local junctions on patches. But the first method does not use the continuous aspect of the data and the second one does not perform well to get a global regular approximant (C ¹ or more). As an approximant of f, a discrete smoothing spline belonging to a suitable piecewise polynomial space is proposed. The originality of the method consists in the fidelity criterion used to fit the data, which takes into account their particular aspect (surface's patches): the idea is to define a function that minimizes the volume located between the data patches and the function, and which is globally C ^k. We first demonstrate the new method on a theoretical aspect and numerical results on real data are given.  相似文献   

地学三维模型光照与动态显示   总被引：3，自引：0，他引：3  

李朝峰  史明寅  王桂梁 《煤田地质与勘探》2001,29(1):14-17

介绍了一种具有真实感的地学三维模型光照显示的新方法,给出了三角网构建和曲面样条函数插值方法,讨论了适应三维模型光照显示的可见性测试、光照模型等算法和方法,实现了模型动态显示和剖面绘制。   相似文献   

校准数字化矿图的一种实用算法——网格限制法   总被引：1，自引：0，他引：1  

毛善君  吴瑞叶 《煤田地质与勘探》2002,30(3):12-13

满足数字化矿图的精度要求是实现数字矿山的重要保证。结合煤矿地测微机制图和相关矿图的特点,本文提出了利用曲面样条函数及公里网特征点数据校准数字化矿图的实用数学方法。   相似文献