Developing Intensity-Duration-Frequency (IDF) Curves Based on Rainfall Cumulative Distribution Frequency (CDF) for Can Tho City, Vietnam
Information on the relationship between rainfall intensity, duration and accumulation frequency or return period (IDF) is commonly utilized in the design and management of urban drainage systems. Can Tho City, located in the Vietnamese Mekong Delta, is a city which has recently invested heavily in u...
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MDPI AG
2022-08-01
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| author | Huynh Vuong Thu Minh Kim Lavane Le Thi Lanh Lam Van Thinh Nguyen Phuoc Cong Tran Van Ty Nigel K. Downes Pankaj Kumar |
| author_facet | Huynh Vuong Thu Minh Kim Lavane Le Thi Lanh Lam Van Thinh Nguyen Phuoc Cong Tran Van Ty Nigel K. Downes Pankaj Kumar |
| author_sort | Huynh Vuong Thu Minh |
| collection | DOAJ |
| description | Information on the relationship between rainfall intensity, duration and accumulation frequency or return period (IDF) is commonly utilized in the design and management of urban drainage systems. Can Tho City, located in the Vietnamese Mekong Delta, is a city which has recently invested heavily in upgrading its stormwater drainage systems in the hope of preventing reoccurring flood events. Yet, much of these works were designed based on obsolete and outdated IDF rainfall curves. This paper presents an updated IDF curve for design rainfall for Can Tho City. For each duration and designated return period, a cumulative distribution function (CDF) was developed using the Pearson III, Log-Pearson III, and Log-Normal distribution functions. In order to choose the best IDF rainfall curve for Can Tho City, the CDF rainfall curve and empirical formulas used in Vietnam and Asia (Vietnamese standard 7957:2008, Department of Hydrology, Ministry of Transportation, Talbot, Kimijima, and Bermard) were compared. The goodness of fit between the IDF relationship generated by the frequency analysis (CDF curve), and that predicted by the IDF empirical formulas was assessed using the efficiency index (<i>EI</i>), and the root mean squared error (<i>RMSE</i>). The IDF built from Vietnam’s standard TCVN 7957:2008 with new parameters (<i>A</i> = 9594, <i>C</i> = 0.5, <i>b</i> = 26, <i>n</i> = 0.96) showed the best performance, with the highest values of <i>EI</i> (0.84 <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mo>≤</mo></semantics></math></inline-formula><i>EI</i><inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mo>≤</mo></semantics></math></inline-formula> 0.93) and the lowest values of <i>RMSE</i> (2.5 <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mo>≤</mo></semantics></math></inline-formula><i>RMSE</i><inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mo>≤</mo></semantics></math></inline-formula> 3.2), when compared to the other remnants. |
| first_indexed | 2024-03-10T00:13:56Z |
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| spelling | doaj.art-4e99a1e58cdf49b79c3ecc9782f0783c2023-11-23T15:54:19ZengMDPI AGEarth2673-48342022-08-013386688010.3390/earth3030050Developing Intensity-Duration-Frequency (IDF) Curves Based on Rainfall Cumulative Distribution Frequency (CDF) for Can Tho City, VietnamHuynh Vuong Thu Minh0Kim Lavane1Le Thi Lanh2Lam Van Thinh3Nguyen Phuoc Cong4Tran Van Ty5Nigel K. Downes6Pankaj Kumar7College of Environment and Natural Resources, Can Tho University, Can Tho 900000, VietnamCollege of Environment and Natural Resources, Can Tho University, Can Tho 900000, VietnamCollege of Environment and Natural Resources, Can Tho University, Can Tho 900000, VietnamCollege of Environment and Natural Resources, Can Tho University, Can Tho 900000, VietnamCollege of Technology, Can Tho University, Can Tho 900000, VietnamCollege of Technology, Can Tho University, Can Tho 900000, VietnamCollege of Environment and Natural Resources, Can Tho University, Can Tho 900000, VietnamInstitute for Global Environmental Strategies, Hayama 240-0115, JapanInformation on the relationship between rainfall intensity, duration and accumulation frequency or return period (IDF) is commonly utilized in the design and management of urban drainage systems. Can Tho City, located in the Vietnamese Mekong Delta, is a city which has recently invested heavily in upgrading its stormwater drainage systems in the hope of preventing reoccurring flood events. Yet, much of these works were designed based on obsolete and outdated IDF rainfall curves. This paper presents an updated IDF curve for design rainfall for Can Tho City. For each duration and designated return period, a cumulative distribution function (CDF) was developed using the Pearson III, Log-Pearson III, and Log-Normal distribution functions. In order to choose the best IDF rainfall curve for Can Tho City, the CDF rainfall curve and empirical formulas used in Vietnam and Asia (Vietnamese standard 7957:2008, Department of Hydrology, Ministry of Transportation, Talbot, Kimijima, and Bermard) were compared. The goodness of fit between the IDF relationship generated by the frequency analysis (CDF curve), and that predicted by the IDF empirical formulas was assessed using the efficiency index (<i>EI</i>), and the root mean squared error (<i>RMSE</i>). The IDF built from Vietnam’s standard TCVN 7957:2008 with new parameters (<i>A</i> = 9594, <i>C</i> = 0.5, <i>b</i> = 26, <i>n</i> = 0.96) showed the best performance, with the highest values of <i>EI</i> (0.84 <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mo>≤</mo></semantics></math></inline-formula><i>EI</i><inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mo>≤</mo></semantics></math></inline-formula> 0.93) and the lowest values of <i>RMSE</i> (2.5 <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mo>≤</mo></semantics></math></inline-formula><i>RMSE</i><inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mo>≤</mo></semantics></math></inline-formula> 3.2), when compared to the other remnants.https://www.mdpi.com/2673-4834/3/3/50rainfall intensityduration and accumulation frequency (IDF)cumulative distribution function (CDF)rainfall designCan Tho CityVietnam |
| spellingShingle | Huynh Vuong Thu Minh Kim Lavane Le Thi Lanh Lam Van Thinh Nguyen Phuoc Cong Tran Van Ty Nigel K. Downes Pankaj Kumar Developing Intensity-Duration-Frequency (IDF) Curves Based on Rainfall Cumulative Distribution Frequency (CDF) for Can Tho City, Vietnam Earth rainfall intensity duration and accumulation frequency (IDF) cumulative distribution function (CDF) rainfall design Can Tho City Vietnam |
| title | Developing Intensity-Duration-Frequency (IDF) Curves Based on Rainfall Cumulative Distribution Frequency (CDF) for Can Tho City, Vietnam |
| title_full | Developing Intensity-Duration-Frequency (IDF) Curves Based on Rainfall Cumulative Distribution Frequency (CDF) for Can Tho City, Vietnam |
| title_fullStr | Developing Intensity-Duration-Frequency (IDF) Curves Based on Rainfall Cumulative Distribution Frequency (CDF) for Can Tho City, Vietnam |
| title_full_unstemmed | Developing Intensity-Duration-Frequency (IDF) Curves Based on Rainfall Cumulative Distribution Frequency (CDF) for Can Tho City, Vietnam |
| title_short | Developing Intensity-Duration-Frequency (IDF) Curves Based on Rainfall Cumulative Distribution Frequency (CDF) for Can Tho City, Vietnam |
| title_sort | developing intensity duration frequency idf curves based on rainfall cumulative distribution frequency cdf for can tho city vietnam |
| topic | rainfall intensity duration and accumulation frequency (IDF) cumulative distribution function (CDF) rainfall design Can Tho City Vietnam |
| url | https://www.mdpi.com/2673-4834/3/3/50 |
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