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Performance of two new empirical equations compared to polynomial, exponential, power and logarithmic function for modelling low flow and high flow discharges

Empirical equations to describe flow duration curve (FDC) are mostly in the form of exponential, logarithmic, power or even polynomial functions but none of these fit the dataset of the study site of this research. This paper proposed two new empirical functions, modified from soil water retention e...

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Main Authors: Muhamad Askari, Lloyd Ling, Yusop, Zulkifli
Format: Article
Language:English
Published: Asian Research Publishing Network (ARPN) 2016
Subjects:
TA Engineering (General). Civil engineering (General)
Online Access:http://eprints.utm.my/id/eprint/70203/1/LloydLingMuhamad2016_Performanceoftwonewempirical.pdf
http://eprints.utm.my/id/eprint/70203/
http://www.arpnjournals.org/jeas/research_papers/rp_2016/jeas_0216_3655.pdf
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spelling my.utm.702032021-08-02T02:56:36Z http://eprints.utm.my/id/eprint/70203/ Performance of two new empirical equations compared to polynomial, exponential, power and logarithmic function for modelling low flow and high flow discharges Muhamad Askari, Lloyd Ling Yusop, Zulkifli TA Engineering (General). Civil engineering (General) Empirical equations to describe flow duration curve (FDC) are mostly in the form of exponential, logarithmic, power or even polynomial functions but none of these fit the dataset of the study site of this research. This paper proposed two new empirical functions, modified from soil water retention equations. The efficiency and prediction accuracy of our new empirical equations were evaluated against each mentioned common function at the study site. Polynomial function was discarded as it failed to fit the dataset. Power function over-predicted nearly every quantile and induced un-acceptable huge difference especially at high flow end of the FDC. Logarithmic was the only function that yields negative predicted low flow and under predicted peak flow by 85%. On the other hand, exponential function almost under predicted peak flows by 100%. New empirical equations have highest Nash-Sutcliffe efficiency with lowest overall RMSE, quantile cumulative RMSE at high flow range and percentage error at the highest peak flow points. A parsimonious form of the new empirical equation was also presented and discussed in this paper. Asian Research Publishing Network (ARPN) 2016 Article PeerReviewed application/pdf en http://eprints.utm.my/id/eprint/70203/1/LloydLingMuhamad2016_Performanceoftwonewempirical.pdf Muhamad Askari, Lloyd Ling and Yusop, Zulkifli (2016) Performance of two new empirical equations compared to polynomial, exponential, power and logarithmic function for modelling low flow and high flow discharges. ARPN Journal Of Engineering And Applied Sciences, 11 (4). pp. 2372-2379. ISSN 1819-6608 http://www.arpnjournals.org/jeas/research_papers/rp_2016/jeas_0216_3655.pdf
institution Universiti Teknologi Malaysia
building UTM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Teknologi Malaysia
content_source UTM Institutional Repository
url_provider http://eprints.utm.my/
language English
topic TA Engineering (General). Civil engineering (General)
spellingShingle TA Engineering (General). Civil engineering (General)
Muhamad Askari, Lloyd Ling
Yusop, Zulkifli
Performance of two new empirical equations compared to polynomial, exponential, power and logarithmic function for modelling low flow and high flow discharges
description Empirical equations to describe flow duration curve (FDC) are mostly in the form of exponential, logarithmic, power or even polynomial functions but none of these fit the dataset of the study site of this research. This paper proposed two new empirical functions, modified from soil water retention equations. The efficiency and prediction accuracy of our new empirical equations were evaluated against each mentioned common function at the study site. Polynomial function was discarded as it failed to fit the dataset. Power function over-predicted nearly every quantile and induced un-acceptable huge difference especially at high flow end of the FDC. Logarithmic was the only function that yields negative predicted low flow and under predicted peak flow by 85%. On the other hand, exponential function almost under predicted peak flows by 100%. New empirical equations have highest Nash-Sutcliffe efficiency with lowest overall RMSE, quantile cumulative RMSE at high flow range and percentage error at the highest peak flow points. A parsimonious form of the new empirical equation was also presented and discussed in this paper.
format Article
author Muhamad Askari, Lloyd Ling
Yusop, Zulkifli
author_facet Muhamad Askari, Lloyd Ling
Yusop, Zulkifli
author_sort Muhamad Askari, Lloyd Ling
title Performance of two new empirical equations compared to polynomial, exponential, power and logarithmic function for modelling low flow and high flow discharges
title_short Performance of two new empirical equations compared to polynomial, exponential, power and logarithmic function for modelling low flow and high flow discharges
title_full Performance of two new empirical equations compared to polynomial, exponential, power and logarithmic function for modelling low flow and high flow discharges
title_fullStr Performance of two new empirical equations compared to polynomial, exponential, power and logarithmic function for modelling low flow and high flow discharges
title_full_unstemmed Performance of two new empirical equations compared to polynomial, exponential, power and logarithmic function for modelling low flow and high flow discharges
title_sort performance of two new empirical equations compared to polynomial, exponential, power and logarithmic function for modelling low flow and high flow discharges
publisher Asian Research Publishing Network (ARPN)
publishDate 2016
url http://eprints.utm.my/id/eprint/70203/1/LloydLingMuhamad2016_Performanceoftwonewempirical.pdf
http://eprints.utm.my/id/eprint/70203/
http://www.arpnjournals.org/jeas/research_papers/rp_2016/jeas_0216_3655.pdf
_version_ 1707765869825753088
score 13.211869

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