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Updated: Sep 4, 2025

Laboratory and Field Protocol for Estimating Sheet Erosion Rates from Dendrogeomorphology
Published on: January 7, 2019
Statistical evaluation of proxies for estimating the rainfall erosivity factor
Xiaoqing Ma1,2, Mingguo Zheng3,4
1Key Laboratory of Water Cycle and Related Land Surface Processes, Institute of Geographic Sciences & Natural Resources Research, Chinese Academic of Sciences, Beijing, 100101, People's Republic of China.
This study evaluated 15 rainfall erosivity proxies (PRs) using high-resolution rainfall data. While finer data resolution improved correlation, all proxies showed strong R-factor correlation, making them viable predictors.
Area of Science:
- Earth and Environmental Sciences
- Soil Science
- Hydrology
Background:
- Calculating the Rainfall Erosivity (R) factor requires high-temporal-resolution rainfall data.
- Numerous proxy models (PRs) have been developed to estimate the R-factor using lower-resolution data (daily, monthly, yearly).
Purpose of the Study:
- To evaluate the performance of 15 widely used R-factor proxies (PRs).
- To compare the accuracy of direct estimation versus linear calibration of PRs against the R-factor.
Main Methods:
- Utilized 6-min pluviographic rainfall data from 28 Australian stations.
- Applied Meng's test to rank correlations between R-factor and 15 PRs.
- Assessed direct estimation and linear calibration accuracy using Mean Relative Error (MRE), Root Mean Square Error (RMSE), and Nash-Sutcliffe Efficiency (NSE).
Main Results:
- All 15 PRs demonstrated high correlation (r > 0.62, p < 0.004) with the R-factor.
- Correlation generally increased with finer temporal resolution of rainfall data (daily > monthly > yearly).
- Linear calibration significantly improved estimation accuracy (MRE: 36.0%, RMSE: 887, NSE: 0.70) compared to direct estimation (MRE: 50.0%, RMSE: 1392, NSE: 0.17).
Conclusions:
- All evaluated PRs are reasonably usable predictors of the R-factor.
- Linear calibration is recommended to enhance the accuracy of R-factor estimation from PRs.
- Recommendations are provided for suitable proxies based on available rainfall data resolution (daily, monthly, or yearly).
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