Characterisation of the benefit function of basin water allocation using a sigmoid-type S-curve logistic equation

As water allocation (WA) is reduced due to water scarcity in a river basin, the benefit function for the domestic water users and the economic sectors declines accordingly. Using the sigmoid-type equation, which is ubiquitous in natural and man-made systems, this study shows that the S-curve behavio...

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Published in:AQUA-WATER INFRASTRUCTURE ECOSYSTEMS AND SOCIETY
Main Authors: Ishak, Ahmad Fakhri; Lee, Wei Koon; Lim, Foo Hoat
Format: Article; Early Access
Language:English
Published: IWA PUBLISHING 2024
Subjects:
Online Access:https://www-webofscience-com.uitm.idm.oclc.org/wos/woscc/full-record/WOS:001195723700001
author Ishak
Ahmad Fakhri; Lee
Wei Koon; Lim
Foo Hoat
spellingShingle Ishak
Ahmad Fakhri; Lee
Wei Koon; Lim
Foo Hoat
Characterisation of the benefit function of basin water allocation using a sigmoid-type S-curve logistic equation
Engineering; Water Resources
author_facet Ishak
Ahmad Fakhri; Lee
Wei Koon; Lim
Foo Hoat
author_sort Ishak
spelling Ishak, Ahmad Fakhri; Lee, Wei Koon; Lim, Foo Hoat
Characterisation of the benefit function of basin water allocation using a sigmoid-type S-curve logistic equation
AQUA-WATER INFRASTRUCTURE ECOSYSTEMS AND SOCIETY
English
Article; Early Access
As water allocation (WA) is reduced due to water scarcity in a river basin, the benefit function for the domestic water users and the economic sectors declines accordingly. Using the sigmoid-type equation, which is ubiquitous in natural and man-made systems, this study shows that the S-curve behaviour can be seen in a broad range of basin WA scenarios. A questionnaire survey reveals that progressive water supply cutback results in a mild initial hassle but builds up to an elaborate inconvenience and subsequently a diminished shock to the water users. The economic benefit of water consumption based on 8-year data of states in Malaysia shows evidence of the S-curve characteristics where lesser developed states tend to benefit more as water consumption increases. The model allows the sectorial benefit (and impact) level to be approximated as a function of basin water availability. The mathematical quantification, in lieu of qualitative descriptors, is useful as an integral component in water prioritisation and WA decision-making to provide an empirical assessment of optimum basin-wide benefit.
IWA PUBLISHING
2709-8028
2709-8036
2024


10.2166/aqua.2024.075
Engineering; Water Resources
gold
WOS:001195723700001
https://www-webofscience-com.uitm.idm.oclc.org/wos/woscc/full-record/WOS:001195723700001
title Characterisation of the benefit function of basin water allocation using a sigmoid-type S-curve logistic equation
title_short Characterisation of the benefit function of basin water allocation using a sigmoid-type S-curve logistic equation
title_full Characterisation of the benefit function of basin water allocation using a sigmoid-type S-curve logistic equation
title_fullStr Characterisation of the benefit function of basin water allocation using a sigmoid-type S-curve logistic equation
title_full_unstemmed Characterisation of the benefit function of basin water allocation using a sigmoid-type S-curve logistic equation
title_sort Characterisation of the benefit function of basin water allocation using a sigmoid-type S-curve logistic equation
container_title AQUA-WATER INFRASTRUCTURE ECOSYSTEMS AND SOCIETY
language English
format Article; Early Access
description As water allocation (WA) is reduced due to water scarcity in a river basin, the benefit function for the domestic water users and the economic sectors declines accordingly. Using the sigmoid-type equation, which is ubiquitous in natural and man-made systems, this study shows that the S-curve behaviour can be seen in a broad range of basin WA scenarios. A questionnaire survey reveals that progressive water supply cutback results in a mild initial hassle but builds up to an elaborate inconvenience and subsequently a diminished shock to the water users. The economic benefit of water consumption based on 8-year data of states in Malaysia shows evidence of the S-curve characteristics where lesser developed states tend to benefit more as water consumption increases. The model allows the sectorial benefit (and impact) level to be approximated as a function of basin water availability. The mathematical quantification, in lieu of qualitative descriptors, is useful as an integral component in water prioritisation and WA decision-making to provide an empirical assessment of optimum basin-wide benefit.
publisher IWA PUBLISHING
issn 2709-8028
2709-8036
publishDate 2024
container_volume
container_issue
doi_str_mv 10.2166/aqua.2024.075
topic Engineering; Water Resources
topic_facet Engineering; Water Resources
accesstype gold
id WOS:001195723700001
url https://www-webofscience-com.uitm.idm.oclc.org/wos/woscc/full-record/WOS:001195723700001
record_format wos
collection Web of Science (WoS)
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