基于蚁群算法的PⅢ频率曲线优化适线

PIII Distribution Curve-fitting Method for Estimating the Parameters of Hydrological Frequency Curve Based on Ant Colony Optimization

对蚁群算法的原理和运算步骤进行分析后，将其应用到水文频率参数分析中，建立了基于蚁群算法的水文频率优化适线法模型。利用3个水文站年最大洪峰流量数据作为样本数据，对模型进行学习训练。试验结果表明，基于蚁群算法的优化适线法在使得离（残）差平方和（OLS）准则最小这个目标函数下，获得了P—Ⅲ曲线3个参数的最优解，比常规算法结果精确度更高，同时能够克服常规算法收敛性较差问题，是一种可行的水文频率分析方法。

After analyzing the theory and computing process of the ant colony optimization, we have built the model of optimization fitting of hydrologic frequency curve based on ant colony algorithm, using the flood peak flow data of three stations as the sample data to train the model. The test results show that the three parameters which got from the PⅢ curve based on the ant colony optimization with the OLS minimum as the objective, is more accurate than the conventional algorithm, and also can overcome the poor convergence problem, it is a new reliably way of flood frequency analysis.