Integration of Rainfall via Multiquadric Surfaces over Polygons
Integration of Rainfall via Multiquadric Surfaces over Polygons
复制标题
通过多边形上的多二次曲面整合降雨量
DOI：
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发表时间：
1993
期刊：
影响因子：
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通讯作者：
G. Pegram
中科院分区：
文献类型：
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作者：
G. Pegram;G. Pegram
水文模拟需要对每日面雨量的准确估计。在世界上许多地区，稀疏的雨量测量网络和不可靠或丢失的数据使这项任务变得复杂。本文提出了一种简单、数学上简洁、经济的算法，该算法利用多二次双曲面曲面拟合方程的线性性质，推导出用于计算多边形流域近似面雨量的雨量权重。此外，使用协方差双曲线图根据量具的统计特征对量具进行分类。这种图形方法识别具有相似统计特性的那些量具的记录，那些可能不可靠的量具，并突出显示降雨量记录中可能的异常值。引入了空间多重共线性(由量规和汇流边界的几何形状定义的一种形式的过拟合或冗余)的概念，并用于帮助选择合适的量具集作为空间集成的候选集。这个应用..。
Hydrologic modeling requires accurate estimation of daily areal rainfall. In many parts of the world, this task is complicated by sparse rain‐gage networks and unreliable or missing data. This paper presents a simple, mathematically elegant, and economical algorithm that exploits the linear nature of multiquadric hyperboloid surface‐fitting equations to derive rain‐gage weights for calculating areal rainfall over polygonal approximants of catchments. In addition, gages are classified according to their statistical characteristics using the covariance biplot. This graphical method identifies the records of those gages that have similar statistical properties, those gages that may be unreliable, and highlights possible outliers in the rainfall record. The concept of spatial multicollinearity (a form of overfitting, or redundancy, defined by the geometry of the gages and the catchment boundary) is introduced and is used to help select a suitable set of gages as candidates for the spatial integration. The app...