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Multi-temporal relations between runoff and sediment load based on variable structure cointegration theory
Institution:1. School of Water Conservancy Engineering, Zhengzhou University, High-tech District, No. 100 Science Road, Zhengzhou 450001, China;2. Yellow River Institute for Ecological Protection & Regional Coordinated Development, Zhengzhou University, Zhengzhou 450001, China
Abstract:Microscopic and macroscopic multi-temporal correlations between runoff and sediment load were analyzed to reveal the relations between them in the source region of the Yellow River using the complete ensemble empirical mode decomposition with adaptive noise method (CEEMDAN) and cointegration theory. Subsequently, multi-temporal models of runoff and sediment load with structural breaks were developed. The results revealed the following points. (1) The runoff and sediment load relations differed at multi-time scales. Multi-temporal cointegration could reveal the relation between runoff and sediment load at micro scales. (2) A comparison of the original model, composite model 1, and composite model 2 revealed that the multi-temporal cointegration model is better than the original model. (3) The variable structure cointegration model of the runoff and sediment load relation had the highest simulation accuracy, and the smallest average relative error for the simulated runoff was 7.82%. Composite model 2 could more accurately reflect the long-term equilibrium and short-term fluctuating relations between the runoff and sediment load in the source region of the Yellow River.
Keywords:Runoff  Sediment load  Variable structure cointegration  Intrinsic mode function  Unit root test
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