Modeling dependence and correlation in hydrological calculation
Correlations widely exist in the hydrological phenomena.Correlation analysis is an important content of hydrological calculation.It is involved in nearly every field of hydrological calculation.It is of great help to solving the practical problems by finding a suitable correlation analysis method.Dependence and correlation modeling in hydrological calculation were reviewed thoroughly.The measurement and analysis methods of the correlation,as well as the relevant matters needing attention were summarized.The theoretical obstacles encountered in hydrological calculation of linear regression and auto regression methods were analyzed.The feasibility of using the Copula-based methods to solve the nonlinearity and non-normality of the hydrological variables was studied.When the long-term dependence of the increments of the reservoir storage was considered,the application of R/S analysis method in flood risk analysis was prospected.A new way to calculate the synthesis index for flood event using the thought of principal components analysis was proposed.Then the severity of the flood event can be ranked synthetically.The reliability of the results analyzed by the Copula function was studied.The distortion problem that may occur in the application of this method was also pointed out.Finally,the pseudo correlation problem which is often encountered in the hydrological calculation was analyzed.