水文数据的线性拟合

在水文分析计算中,常涉及到变量之间的线性拟合,在进行数据拟合时,通常是以因变量的实测资料与拟合直线间的误差平方和最小作为目标函数的方法──最小二乘法,这种方法不具有双向性,达不到数据拟合的整体最优效果。为此考虑采用最小距离平方和法,综合考虑x及y向离差,使点（x,y）到相关直线距离平方和最小,与传统的单方向最小二乘法相比,所求方程不会因坐标系的选取而改变,可使x及y方向离差达到整体最优效果。最后应用算例进行了比较和初步探讨。

Linearity Simulation of Hydrological Data

Linearity simulation is used in hydrological calculation.Least Square Method is often applied to simulate linear generally,but this method doesn't have the double direction and can't reach the whole optimal effect.In order to improve its precision,it adopts Least Distance Square Method for linearity simulation.This method considers the deviation of x and y.It makes the sum of linear distance square between point and line minimum.Comparing to traditional method,its linear equation is not changed by the selec...