• 气候与全球变化 •

### 高斯函数参量法及其在山区降水计算中的应用

1. 1. 中国科学院地理科学与资源研究所,北京 100101;
2. 北京大学城市与环境学院,北京 100871;
3. 辽宁师范大学城市与环境学院,大连 116029;
4. 中国科学院遥感应用研究所,遥感科学国家重点实验室,北京 100101
• 收稿日期:2007-10-07 修回日期:2008-02-20 出版日期:2008-05-25 发布日期:2008-05-25
• 作者简介:张小咏 (1976-)|女, 辽宁人, 博士后。研究方向为气候变化、生态水文等。 E-mail:zhangxy@lreis.ac.cn
• 基金资助:

国家自然科学基金 (90102016) 资助

### Gauss parameter method and its application in calculating the rainfall from the mountainous areas

ZHANG Xiao-yong1, LIU Geng-nian2, LI Yong-hua3, CHEN Zheng-chao4

1. 1. Institute of Geographic Sciences and Natural Resources Research, CAS, Beijing 100101, China;
2. College of Environmental Sciences, Peking University, Beijing 100871, China;
3. College of Urban and Environment Science, Liaoning Normal University,Dalian 116029,China;
4.| Institute of Remote Sensing Applications, CAS, Beijing 100101, China
• Received:2007-10-07 Revised:2008-02-20 Online:2008-05-25 Published:2008-05-25
• Supported by:

国家自然科学基金 (90102016) 资助

Abstract:

Based on the seven monthly mean precipitation data averaged over years from the Urumqi River basin, the authors put forward the Gauss parameter model which can meet the interpolation demand in time and space dimensions. The fitting goodness of the models is 4%. This model builds the relationship between the Gauss function and precipitation, according to the mathematical meaning of the Gauss function and distributional rule of precipitation, and converts the traditional interpolation into function model, advances the application of the precipitation data, solves the problem of calculating precipitation and precipitation distribution under the conditions of the scarcity of rainfall data, especially in the alpine mountain with sparse meteorological stations. It will significantly improve the availability of precipitation data. This paper presents the principle, derivation process and the typical application methods, integrating with specific data. The precipitation distribution simulated by the Gaussian function is consistent with the actual precipitation amount. Each parameter of Gaussian function has a very clear physical meaning. The method of Gaussian function parameter has a strong practical value, and is widely used.The details are discussed below. As the time function of precipitation distribution, the model can calculate precipitation amount of any time. Through integration of the precipitation distribution function within a certain period, the precipitation amount of any time cycle can be calculated. Through the spatial interpolation of rainfall distribution parameters of different sites, the precipitation distribution function can be achieved in different regions, thereby calculating the precipitation amount of any time periods and at any time. The simplified Gauss model can transform the estimates of three parameters into one parameter, which can meet the needs of application in the high mountains with sparse meteorological stations, but also can calculate precipitation amount in the historical period. The promoted model can be applied to the precipitation distribution of more than one peak, which expands the application of Gaussian parameters. However, we must point out that the method of the Gaussian model is based on the data of meteorological stations in Urumqi River valley. The application of models might have some limitations, especially in this region.