Abstract

LI, X. et al. Multiple Spatial Scales Chaos Characterization in Runoff Series by the 0-1 Test Algorithm. Tecnol. cienc. agua [online]. 2019, vol.10, n.4, pp.182-194.  Epub Apr 21, 2021. ISSN 2007-2422.  https://doi.org/10.24850/j-tyca-2019-04-09.

In order to study the spatial changes in the Yellow River basin, a new nonparametric method called the 0-1 test algorithm is introduced to detect the change rule between runoff and basin area. The test approach has the virtue of applying directly to the time series without phase-space reconstruction. This thesis takes the logistic map as an example, the numerical results demonstrate the advantages of the method. Then, the runoff time series (2002-2009) collected by the six hydrologic stations (Tangnaihai, Lanzhou, Toudaoguai, Longkou, Sanmenxia and Huayuankou) of Yellow River, are selected to analyze the laws of evolution in different spatial scales. The asymptotic growth rates of Kc are 0.8751, 0.8985, 0.9783, 0.9793, 0.9848 and 0.9976, respectively. Multiple spatial scales runoff data of Yellow River Basin shows chaotic characteristic. The minimum value of Kc is in the upper reaches of the Yellow River (Tangnaihai). The maximum value of Kc is in the lower reaches of the Yellow River (Huayuankou). The spatial runoff process changes greatly in temporal and spatial scales. And the drainage area is an important factor in causing chaos variation. The conclusion illustrates the feasibility of this method and provides scientific data for runoff prediction.

Keywords : 0-1 test; chaos; runoff; the asymptotic growth rate; spatial scales.