Proficiency of probability distributions in unit hydrograph derivation

IF 2.7 4区环境科学与生态学 Q2 Environmental Science

Hydrology Research Pub Date : 2024-03-08 DOI:10.2166/nh.2024.151

Esmatullah Sangin, Pravin R. Patil, S. K. Mishra, Sumit Sen

引用次数: 0

Abstract

The probability distribution function (PDF)-based unit hydrographs (UHs) are gaining momentum in an application for more accurate rainfall-runoff transformation. Employing seven statistical performance indices, R2, NSE, MSE, RMSE, MAE, MAPE, and SE in GRG-NLP optimization, 18 known and 12 adaptable UHs were assessed against UHs derived from 18 storms in 7 basins across the United States, Turkey, and India. To this end, 27 Maple codes were proposed for UH-application requiring only peak discharge (qp), time to peak (tp), and time base (tb) for derivation. The introduced PDFs, such as Dagum, Generalized Gamma, Log-Logistic, Gumbel Type-I, and Shifted Gompertz, replicated the observed data-derived UHs more closed than did the known PDFs, like Inverse Gaussian, 2-PGD, Log-Normal, Inverse-Gamma, and Nagakami. Among the three-parameter (6 nos.), two-parameter (21 nos.), and single-parameter (3 nos.) PDFs, the Dagum, Log-Logistic, and Poisson consistently outperformed their respective counterparts in replication.

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单位水文图推导中概率分布的熟练程度

基于概率分布函数（PDF）的单位水文图（UHs）在应用于更精确的降雨-径流转换方面势头正劲。在 GRG-NLP 优化过程中采用了 R2、NSE、MSE、RMSE、MAE、MAPE 和 SE 七种统计性能指标，根据美国、土耳其和印度 7 个流域 18 次暴雨得出的单位水文图，对 18 种已知单位水文图和 12 种可调整单位水文图进行了评估。为此，提出了 27 个 Maple 代码，用于 UH 应用，只要求推导峰值排水量（qp）、峰值时间（tp）和时基（tb）。引入的 PDF（如 Dagum、Generalized Gamma、Log-Logistic、Gumbel Type-I 和 Shifted Gompertz）比已知的 PDF（如 Inverse Gaussian、2-PGD、Log-Normal、Inverse-Gamma 和 Nagakami）更接近地复制了观测数据得出的 UH。在三参数（6 个）、二参数（21 个）和单参数（3 个）PDF 中，Dagum、Logistic 和 Poisson 在复制方面始终优于各自的对应参数。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Hydrology Research Environmental Science-Water Science and Technology

CiteScore

5.30

自引率

7.40%

发文量

审稿时长

17 weeks

期刊介绍： Hydrology Research provides international coverage on all aspects of hydrology in its widest sense, and welcomes the submission of papers from across the subject. While emphasis is placed on studies of the hydrological cycle, the Journal also covers the physics and chemistry of water. Hydrology Research is intended to be a link between basic hydrological research and the practical application of scientific results within the broad field of water management.