Mathematical Assessment of Hydrological Drought in the Mun Watershed: Incorporating Standardized Runoff Index and Archimedes Copula Functions

Proper management of water resources relies on precise hydrological data interpretation, with runoff data being essential for handling drought risks. In this research, we evaluated the Mun watershed’s hydrological drought patterns using the Standardized Runoff Index (SRI) for quarterly periods. We a...

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Bibliographic Details
Published in:Lobachevskii journal of mathematics 2023-11, Vol.44 (11), p.4676-4692
Main Authors: Chomphuwiset, Prapawan, Phoophiwfa, Tossapol, Guayjarernpanishk, Pannarat, Busababodhin, Piyapatr
Format: Article
Language:English
Subjects:
Algebra
Analysis
Drought
Geometry
Hydrologic data
Mathematical Logic and Foundations
Mathematics
Mathematics and Statistics
Probability Theory and Stochastic Processes
Runoff
Water management
Water resources management
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Summary:Proper management of water resources relies on precise hydrological data interpretation, with runoff data being essential for handling drought risks. In this research, we evaluated the Mun watershed’s hydrological drought patterns using the Standardized Runoff Index (SRI) for quarterly periods. We analyzed runoff data spanning 24 years (1999–2022) sourced from 33 Royal Irrigation Department stations across 10 watershed provinces. We applied both the Archimedean Copula to determine return intervals for drought intensity and length. Results indicate that these methods effectively gauge hydrological drought under varied conditions in the Mun watershed. Notably, Nakhon Ratchasima and Sisaket provinces are most susceptible to intense and frequent droughts in the upcoming 3.70–19.13 years. These insights are vital for strategic agricultural water allocation and gauging the success of water management initiatives, especially during Mun watershed drought episodes.
ISSN:1995-0802
1818-9962
DOI:10.1134/S1995080223110112