Statistical evaluation of proxies for estimating the rainfall erosivity factor

Abstract Considering the high-temporal-resolution rainfall data requirements for calculating the Rainfall Erosivity factor (that is, the R-factor), studies have developed a large number of proxies for the R-factor (PR). This study aims to evaluate 15 widely used proxies, which were developed in vari...

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Main Authors: Xiaoqing Ma, Mingguo Zheng
Format: Article
Language:English
Published: Nature Portfolio 2022-07-01
Series:Scientific Reports
Online Access:https://doi.org/10.1038/s41598-022-15271-x
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author Xiaoqing Ma
Mingguo Zheng
author_facet Xiaoqing Ma
Mingguo Zheng
author_sort Xiaoqing Ma
collection DOAJ
description Abstract Considering the high-temporal-resolution rainfall data requirements for calculating the Rainfall Erosivity factor (that is, the R-factor), studies have developed a large number of proxies for the R-factor (PR). This study aims to evaluate 15 widely used proxies, which were developed in various countries using daily, monthly, or yearly rainfall data, in terms of correlation and statistical equality with the R-factor by using the 6-min pluviographic data from 28 stations in Australia. Meng’s test was applied to rank the correlations. Although the Meng’s test indicated that the correlation between Rainfall Erosivity (R) and Rainfall Erosivity calculated by the proxy model (PR) generally increased with a finer time resolution of the rainfall data (in the order of year, month, and day), the 15 PRs under examination were all highly correlated with R (r > 0.62, p < 0.004), implying that all of them can be reasonably used as an R predictor. A direct estimation of the R-factor using PRs produced a mean relative error (MRE), root mean square error (RMSE), and Nash–Sutcliffe efficiency coefficient (NSE) with a mean of 50.0%, 1392 MJ mm ha−1 h−1 a−1, and 0.17, respectively. The linear calibrations improved the accuracy of the estimation and produced an MRE, RMSE, and NSE with a mean of 36.0%, 887 MJ mm ha−1 h−1 a−1, and 0.70, respectively. Finally, suitable proxies for instances where only daily, monthly, or yearly rainfall data are available were recommended.
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spelling doaj.art-822e401fe4384a9598a4bc3cba391d272022-12-22T01:29:42ZengNature PortfolioScientific Reports2045-23222022-07-0112111110.1038/s41598-022-15271-xStatistical evaluation of proxies for estimating the rainfall erosivity factorXiaoqing Ma0Mingguo Zheng1Key Laboratory of Water Cycle and Related Land Surface Processes, Institute of Geographic Sciences & Natural Resources Research, Chinese Academic of SciencesNational-Regional Joint Engineering Research Center for Soil Pollution Control and Remediation in South China, Guangdong Key Laboratory of Integrated Agro-environmental Pollution Control and Management, Guangdong Engineering Research Center for Non-point Source Pollution Control, Institute of Eco-environmental and Soil Sciences, Guangdong Academy of SciencesAbstract Considering the high-temporal-resolution rainfall data requirements for calculating the Rainfall Erosivity factor (that is, the R-factor), studies have developed a large number of proxies for the R-factor (PR). This study aims to evaluate 15 widely used proxies, which were developed in various countries using daily, monthly, or yearly rainfall data, in terms of correlation and statistical equality with the R-factor by using the 6-min pluviographic data from 28 stations in Australia. Meng’s test was applied to rank the correlations. Although the Meng’s test indicated that the correlation between Rainfall Erosivity (R) and Rainfall Erosivity calculated by the proxy model (PR) generally increased with a finer time resolution of the rainfall data (in the order of year, month, and day), the 15 PRs under examination were all highly correlated with R (r > 0.62, p < 0.004), implying that all of them can be reasonably used as an R predictor. A direct estimation of the R-factor using PRs produced a mean relative error (MRE), root mean square error (RMSE), and Nash–Sutcliffe efficiency coefficient (NSE) with a mean of 50.0%, 1392 MJ mm ha−1 h−1 a−1, and 0.17, respectively. The linear calibrations improved the accuracy of the estimation and produced an MRE, RMSE, and NSE with a mean of 36.0%, 887 MJ mm ha−1 h−1 a−1, and 0.70, respectively. Finally, suitable proxies for instances where only daily, monthly, or yearly rainfall data are available were recommended.https://doi.org/10.1038/s41598-022-15271-x
spellingShingle Xiaoqing Ma
Mingguo Zheng
Statistical evaluation of proxies for estimating the rainfall erosivity factor
Scientific Reports
title Statistical evaluation of proxies for estimating the rainfall erosivity factor
title_full Statistical evaluation of proxies for estimating the rainfall erosivity factor
title_fullStr Statistical evaluation of proxies for estimating the rainfall erosivity factor
title_full_unstemmed Statistical evaluation of proxies for estimating the rainfall erosivity factor
title_short Statistical evaluation of proxies for estimating the rainfall erosivity factor
title_sort statistical evaluation of proxies for estimating the rainfall erosivity factor
url https://doi.org/10.1038/s41598-022-15271-x
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