Hysteresis loop models are one of the most common and effective tools for quantifying time-scale dynamics of sediment-discharge relationships. These models can successfully characterize sediment dynamics in watersheds and facilitate developing effective measures to manage sediment-discharge resources. Considering the characteristics of a proportional hysteresis index, an improved differential hysteresis index was developed. The improved model was used to quantify typical patterns of monthly sediment-discharge relationships in six karst watersheds in southwest China during 2003–2019. Partial least squares structural equation modeling was conducted to decouple the effects of climatic factors and vegetation extent on the hysteresis index. The results indicate that clockwise hysteresis accounted for 74 % of the total hysteresis occurring in the watersheds, whereas counterclockwise and 8-shaped hysteresis accounted for only 22 % and 3.9 %, respectively. The improved hysteresis index varied from −10 to 10, effectively reflecting the degree of hysteresis occurring in the watersheds. Partial least squares structural equation modeling shows that climatic factors (e.g., temperature and precipitation) and vegetation extent in the Hongshui, Yujiang, Liujiang and Wujiang watersheds explained 50 %∼75 % of the hysteresis between sediment concentration and water discharge. The combined effect of temperature and precipitation on the hysteresis index was larger than that of vegetation extent. The improved differential hysteresis index proposed in this study effectively extended the applicability of differential hysteresis indices and facilitated comparing the degree of hysteresis among watersheds with different sediment concentrations. This study can improve the understanding of sediment sources and transport pathways and provide valuable information for decision making on soil erosion control in karst watersheds.
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