基于多目标准则的流域站网优化

对于流域站网空间布局不合理(含有大量冗余站点及监测空白区等)的问题,基于美国伊利洛伊斯河下游流域27个站点4年的日均径流量数据,以站网中联合熵最大、冗余度最小且数据波动最小3个准则,构建了联合熵比、冗余度比和纳什效率系数(NSE) 3个目标函数对站网的信息量进行定量评估。约简流域冗余站点构成初步优化站点组合,并根据出水口得到的潜在站点确定流域需要新增的站点。结果表明:在原站网的基础上选出11个站点构成初步优化站点组合,其联合熵与原站网相等,冗余度减少74. 2%;在初步优化站点组合基础上新增3个站点,联合熵和冗余度分别增加37. 1%和22. 3%;与原站网相比,优化后的站点数量为14个,联合熵增加了37. 1%,冗余度减少了68. 5%。

Optimization of the basin hydrologic network based on multi-objective criteria

The spatial distribution of a basin hydrological network is usually unreasonable, and the network may contain a large number of redundant stations and monitoring blank areas. In this regard, the 4-year and mean daily runoff data from 27 sites of the Lower Illinois River Basin is used in this study to achieve an optimization of hydrological network. Three objective functions, which are joint entropy ratio, redundancy ratio and Nash-Sutcliffe efficiency coefficient(NSE), are constructed to quantitatively evaluate the information of station network, based on three criteria of maximum joint entropy, minimum total correlation and minimum data fluctuation. The results show that a preliminary optimized site combination composed of 11stations can provide the same amount of information as the original station network, and at the same time, the redundant information can be reduced by 74. 2%. The total amount of information and redundant information were increased by 37. 1% and 22. 3% respectively by adding 3 sites on the basis of preliminary optimized site combination. Compared with the original station network, the number of optimized sites is 14, the total amount of information is increased by 37. 1%, and the amount of redundant information is reduced by 68. 5%.