径流过程具有分形和灰色特征。基于此,将R/S分析与灰色系统理论相结合,提出了R/S&色预测模型以预报河流年径流量。针对黑河正义峡水文站60a(1949~2011年)的年径流量资料,首先进行R/S分析.确定径流量序列的Hurst指数H和平均循环周期r;然后在一个周期内进行年径流量灰色预测。结果表明:R/S.&色预测结果的精度明显高于直接进行灰色预测的精度。该方法拓宽了分形和灰色理论在径流过程研究的应用范围,为河流径流量的科学预测提供了一种新方法。
River runoff series has the characteristics of fractal and gray. Therefore, by combining gray system themy with R/S analysis, R/S gray prediction model was proposed to forecast annual runoff. Based on the data of the annual runoff at the Zhengyixia Station of the Heihe River during the period 1949-2011, the runoff series were analyzed by R/S method. The Hurst exponent and average cycle of river runoff series were determined firstly; then, in one cycle, annual runoff was predicted by gray. The prediction results show that R/S gray prediction model has higher precision indeed. This method broadens the application range of fractal theory and grey model, and provides a new scientific approach for predicting annual runoff.