Abstract
Intensity-duration-frequency (IDF) curves are used in many hydrologic designs for the purpose of water managements and flood preventions. The IDF curves available in Malaysia are those obtained from univariate analysis approach which only considers the intensity of rainfalls at fixed time intervals. As several rainfall variables are correlated with each other such as intensity and duration, this paper aims to derive IDF points for storm events in Peninsular Malaysia by means of bivariate frequency analysis. This is achieved through utilizing the relationship between storm intensities and durations using the copula method. Four types of copulas; namely the Ali-Mikhail-Haq (AMH), Frank, Gaussian and Farlie-Gumbel-Morgenstern (FGM) copulas are considered because the correlation between storm intensity, I, and duration, D, are negative and these copulas are appropriate when the relationship between the variables are negative. The correlations are attained by means of Kendall's τ estimation. The analysis was performed on twenty rainfall stations with hourly data across Peninsular Malaysia. Using Akaike's Information Criteria (AIC) for testing goodness-of-fit, both Frank and Gaussian copulas are found to be suitable to represent the relationship between I and D. The IDF points found by the copula method are compared to the IDF curves yielded based on the typical IDF empirical formula of the univariate approach. This study indicates that storm intensities obtained from both methods are in agreement with each other for any given storm duration and for various return periods.
| Original language | English |
|---|---|
| Pages (from-to) | 158-171 |
| Number of pages | 14 |
| Journal | Journal of Hydrology |
| Volume | 470-471 |
| DOIs | |
| Publication status | Published - 12 Nov 2012 |
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Keywords
- Bivariate frequency analysis
- Copula
- Intensity-duration-frequency (IDF)
- Storm event
ASJC Scopus subject areas
- Water Science and Technology
Cite this
IDF relationships using bivariate copula for storm events in Peninsular Malaysia. / Mohd Ariff, Noratiqah; Jemain, Abdul Aziz; Ibrahim, Kamarulzaman; Wan Zin @ Wan Ibrahim, Wan Zawiah.
In: Journal of Hydrology, Vol. 470-471, 12.11.2012, p. 158-171.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - IDF relationships using bivariate copula for storm events in Peninsular Malaysia
AU - Mohd Ariff, Noratiqah
AU - Jemain, Abdul Aziz
AU - Ibrahim, Kamarulzaman
AU - Wan Zin @ Wan Ibrahim, Wan Zawiah
PY - 2012/11/12
Y1 - 2012/11/12
N2 - Intensity-duration-frequency (IDF) curves are used in many hydrologic designs for the purpose of water managements and flood preventions. The IDF curves available in Malaysia are those obtained from univariate analysis approach which only considers the intensity of rainfalls at fixed time intervals. As several rainfall variables are correlated with each other such as intensity and duration, this paper aims to derive IDF points for storm events in Peninsular Malaysia by means of bivariate frequency analysis. This is achieved through utilizing the relationship between storm intensities and durations using the copula method. Four types of copulas; namely the Ali-Mikhail-Haq (AMH), Frank, Gaussian and Farlie-Gumbel-Morgenstern (FGM) copulas are considered because the correlation between storm intensity, I, and duration, D, are negative and these copulas are appropriate when the relationship between the variables are negative. The correlations are attained by means of Kendall's τ estimation. The analysis was performed on twenty rainfall stations with hourly data across Peninsular Malaysia. Using Akaike's Information Criteria (AIC) for testing goodness-of-fit, both Frank and Gaussian copulas are found to be suitable to represent the relationship between I and D. The IDF points found by the copula method are compared to the IDF curves yielded based on the typical IDF empirical formula of the univariate approach. This study indicates that storm intensities obtained from both methods are in agreement with each other for any given storm duration and for various return periods.
AB - Intensity-duration-frequency (IDF) curves are used in many hydrologic designs for the purpose of water managements and flood preventions. The IDF curves available in Malaysia are those obtained from univariate analysis approach which only considers the intensity of rainfalls at fixed time intervals. As several rainfall variables are correlated with each other such as intensity and duration, this paper aims to derive IDF points for storm events in Peninsular Malaysia by means of bivariate frequency analysis. This is achieved through utilizing the relationship between storm intensities and durations using the copula method. Four types of copulas; namely the Ali-Mikhail-Haq (AMH), Frank, Gaussian and Farlie-Gumbel-Morgenstern (FGM) copulas are considered because the correlation between storm intensity, I, and duration, D, are negative and these copulas are appropriate when the relationship between the variables are negative. The correlations are attained by means of Kendall's τ estimation. The analysis was performed on twenty rainfall stations with hourly data across Peninsular Malaysia. Using Akaike's Information Criteria (AIC) for testing goodness-of-fit, both Frank and Gaussian copulas are found to be suitable to represent the relationship between I and D. The IDF points found by the copula method are compared to the IDF curves yielded based on the typical IDF empirical formula of the univariate approach. This study indicates that storm intensities obtained from both methods are in agreement with each other for any given storm duration and for various return periods.
KW - Bivariate frequency analysis
KW - Copula
KW - Intensity-duration-frequency (IDF)
KW - Storm event
UR - http://www.scopus.com/inward/record.url?scp=84868357286&partnerID=8YFLogxK
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U2 - 10.1016/j.jhydrol.2012.08.045
DO - 10.1016/j.jhydrol.2012.08.045
M3 - Article
AN - SCOPUS:84868357286
VL - 470-471
SP - 158
EP - 171
JO - Journal of Hydrology
JF - Journal of Hydrology
SN - 0022-1694
ER -