Study Of The General Principle On The Heterogeneous About The Spatial Distribution Precipitation On The Land Surface

The paper in the context of the statistic-dynamic analyses the heterogeneity of spatial distribution of the precipitation. The generality of the spatial probability distribution model of the precipitation was explored. A new analytical expression of heterogeneous spatial precipitation is given which are the Lorenz curve and the coefficient of Gini. We can express the degree of heterogeneous about the spatial distribution of precipitation by use of this method, and we can declare whether it is possible have the fond or not. In addition, the Weibull distribution was used to modeling the spatial distribution of precipitation, and it is applied in the counter the regional runoff rate. And a new method was explored about the heterogeneous runoff ration on the subgrid scale.At first, based on the 272 station monthly precipitation in china, the paper described the heterogeneous of the spatial distribution precipitation by use of the curve of Lorenz and the coefficient of G. The results show that the heterogeneous of the spatial monthly precipitation in summer is stronger than in winter. Based on this describing, the probability distributions function of the spatial distributions are fitted by use of the Gamma distribution model, and this general principle is examined. The results show that the Gamma distribution is good on describing the heterogeneous of the spatial distribution precipitation in china. The season and interannual variations of Gamma parameters are examined and the corresponding climatological interpretation is studied. On this basis, the partitioned spaces are verified.Second, the bar of the frequency-distribution and the curve of Lorenz and the G coefficient are talked about the spatial distribution of day to day precipitation. The results show that the heterogeneous of day precipitation is strong on every day in a year. The spatial distribution model is left skew all in four seasons and it is different from the monthly precipitation. The paper explored the PDF of the spatial distribution of the day precipitation. The result shows that the Weibull distribution is good on describing the heterogeneous of the spatial distribution of the day precipitation in China. The exponential distribution isn't ideally suited to the day precipitation. In addition, the season and interannual variations of Weibull parameters are examined and the corresponding climatological interpretation is studied.3Thirdly, the partitioned places are verified of the spatial distribution of day to day precipitation. The results show that the skew disgree is gradually weaken as the area reduce, and the Weibull distribution is very good on describing the spatial distribution of the day precipitation in any region place. It shows that this distribution have the strong adaptation. The exponential distribution can only partial discrib this situation in drought region.In addition, the Weibull distribution is applied on the quest the regional space runoff rate. Analytical expressions are presented for describing runoff over heterogeneous surface basis on physical mechanism of land surface hydrological process and by means of the statistics distribution theory. Simulation test results show stochastic-dynamics method for the parameterization scheme of regional runoff over heterogeneous surface is creditable.