L分布函数与相对干湿的一种理论标准

在振荡系统平衡点两边对称范围内,L分布函数能用最大振幅来描绘振荡发生的概率及分布,在此引入绝对降水量概念后,利用L分布稳定区特性、距离平衡0点远近及发生概率,对干湿振荡系统进行分析。结果表明,标准化干湿指数振荡系统的最大正振幅为+1,最大负振幅为-1,均方根为1/3,0点两边正负1/3范围内的发生概率是70%,其间可认为干湿接近准平衡态,-1/3～-1区间发生概率15%,为重度干燥状态;1/3～1区间发生概率15%,是重度湿润状态。当标准化干湿指数大小等于均方根或+1/3时,此时径流量刚好等于1/3降水量,蒸发量等于2/3降水量,降水量是蒸发量的1.5倍。最后,用L分布函数将干湿振荡系统划分为干湿6级或干湿12级。

L Probability Distribution Function and A Theoretical Standard of Relative Dry and Wet Index

L probability distribution function is used by maximum amplitude of oscillation to portray what occurring chance and how distribution is for the vibration system at symmetrically adjacent to the balance point.Using so-called absolute precipitation,the stability area and happen probability the dry and wet oscillation system is studied to indicate that the positive and the negative of maximum amplitude of the vibration system of the dry and humid indices standardized is ＋ 1 and-1,respectively,the standard deviation is 1/3,the probability is 70％ at interval between the zero and ± 1/3,this space is recognized as Quasi-Balance State between dry and wet,the probability is 15％ at interval between the-1/3 and-1 and this space feature severe arid,similarly,the probability is 15％ at interval between the ＋ 1/3 and ＋ 1 and this interval is characterized as very serious wet place.The runoff is equal to 1/3 total precipitation,the evaporation is identical to 2/3 total precipitation and total precipitation is 1.5 times of the evaporation when the dry and humid indices standardized is just the standard deviation ＋ 1/3.Finally,by means of L probability distribution function,the dry and wet oscillation system is graded into 6 levels or 12 classes for the extent of their humid or dry.