Variable power‐law scaling of hillslope Hortonian rainfall<b>–</b>runoff processes

Hydrological Processes - Tập 33 Số 22 - Trang 2926-2938 - 2019
Songbai Wu1,2, Li Chen3,4, Ninglian Wang1,2, Shaohui Xu1,2, Vincenzo Bagarello5, Vito Ferro6
1Institute of Earth Surface System and Hazards, College of Urban and Environmental Sciences, Northwest University, Xi’an, China
2Shaanxi Key Laboratory of Earth Surface System and Environmental Carrying Capacity, Northwest University, Xi’an, China
3Division of Hydrologic Sciences, Desert Research Institute, Las Vegas, Nevada, USA
4State Key Laboratory of Eco‐hydraulics in Northwest Arid Region of China Xi‘an University of Technology Xi’an China
5Dipartimento di Scienze Agrarie, Alimentari e Forestali Università di Palermo, Viale delle Scienze Palermo Italy
6Dipartimento di Scienze della Terra e del Mare Università di Palermo Via Archirafi, 22 Palermo Italy

Tóm tắt

AbstractHydrological studies focused on Hortonian rainfall–run‐off scaling have found that the run‐off depth generally declines with the plot length in power‐law scaling. Both the power‐law proportional coefficient and the scaling exponent show great variability for specific conditions, but why and how they vary remain unclear. In the present study, the scaling of hillslope Hortonian rainfall–run‐off processes is investigated for different rainfall, soil infiltration, and hillslope surface characteristics using the physically based cell‐based rainfall‐infiltration‐run‐off model. The results show that both temporally intermittent and steady rainfalls can result in prominent power‐law scaling at the initial stage of run‐off generation. Then, the magnitude of the power‐law scaling decreases gradually due to the decreasing run‐on effect. The power‐law scaling is most sensitive to the rainfall and soil infiltration parameters. When the ratio of rainfall to infiltration exceeds a critical value, the magnitude of the power‐law scaling tends to decrease notably. For different intermittent rainfall patterns, the power‐law exponent varies in the range of −1.0 to −0.113, which shows an approximately logarithmic increasing trend for the proportional coefficient as a function of the run‐off coefficient. The scaling is also sensitive to the surface roughness, soil sealing, slope angle, and hillslope geometry because these factors control the run‐off routing and run‐on infiltration processes. These results provide insights into the variable scaling of the Hortonian rainfall–run‐off process, which are expected to benefit modelling of large‐scale hydrological and ecological processes.

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Hydrological Processes

Tập 33 Số 22

2926-2938

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