Entropy Parameter M in Modeling a Flow Duration Curve
A flow duration curve (FDC) is widely used for predicting water supply, hydropower, environmental flow, sediment load, and pollutant load. Among different methods of constructing an FDC, the entropy-based method, developed recently, is appealing because of its several desirable characteristics, such...
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| Format: | Article |
| Language: | English |
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MDPI AG
2017-12-01
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| Series: | Entropy |
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| Online Access: | https://www.mdpi.com/1099-4300/19/12/654 |
| _version_ | 1817996621832519680 |
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| author | Yu Zhang Vijay P. Singh Aaron R. Byrd |
| author_facet | Yu Zhang Vijay P. Singh Aaron R. Byrd |
| author_sort | Yu Zhang |
| collection | DOAJ |
| description | A flow duration curve (FDC) is widely used for predicting water supply, hydropower, environmental flow, sediment load, and pollutant load. Among different methods of constructing an FDC, the entropy-based method, developed recently, is appealing because of its several desirable characteristics, such as simplicity, flexibility, and statistical basis. This method contains a parameter, called entropy parameter M, which constitutes the basis for constructing the FDC. Since M is related to the ratio of the average streamflow to the maximum streamflow which, in turn, is related to the drainage area, it may be possible to determine M a priori and construct an FDC for ungauged basins. This paper, therefore, analyzed the characteristics of M in both space and time using streamflow data from 73 gauging stations in the Brazos River basin, Texas, USA. Results showed that the M values were impacted by reservoir operation and possibly climate change. The values were fluctuating, but relatively stable, after the operation of the reservoirs. Parameter M was found to change inversely with the ratio of average streamflow to the maximum streamflow. When there was an extreme event, there occurred a jump in the M value. Further, spatially, M had a larger value if the drainage area was small. |
| first_indexed | 2024-04-14T02:26:08Z |
| format | Article |
| id | doaj.art-13af6fd9977846cbbffad8c4123c0640 |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-04-14T02:26:08Z |
| publishDate | 2017-12-01 |
| publisher | MDPI AG |
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| series | Entropy |
| spelling | doaj.art-13af6fd9977846cbbffad8c4123c06402022-12-22T02:17:53ZengMDPI AGEntropy1099-43002017-12-01191265410.3390/e19120654e19120654Entropy Parameter M in Modeling a Flow Duration CurveYu Zhang0Vijay P. Singh1Aaron R. Byrd2Department of Biological and Agricultural Engineering, Texas A&M University, College Station, TX 77840, USADepartment of Biological and Agricultural Engineering, Texas A&M University, College Station, TX 77840, USAHydrologic Systems Branch, Coastal and Hydraulics Laboratory, Engineer Research Development Center, U.S. Army Corps of Engineers, Vicksburg, MS 39181, USAA flow duration curve (FDC) is widely used for predicting water supply, hydropower, environmental flow, sediment load, and pollutant load. Among different methods of constructing an FDC, the entropy-based method, developed recently, is appealing because of its several desirable characteristics, such as simplicity, flexibility, and statistical basis. This method contains a parameter, called entropy parameter M, which constitutes the basis for constructing the FDC. Since M is related to the ratio of the average streamflow to the maximum streamflow which, in turn, is related to the drainage area, it may be possible to determine M a priori and construct an FDC for ungauged basins. This paper, therefore, analyzed the characteristics of M in both space and time using streamflow data from 73 gauging stations in the Brazos River basin, Texas, USA. Results showed that the M values were impacted by reservoir operation and possibly climate change. The values were fluctuating, but relatively stable, after the operation of the reservoirs. Parameter M was found to change inversely with the ratio of average streamflow to the maximum streamflow. When there was an extreme event, there occurred a jump in the M value. Further, spatially, M had a larger value if the drainage area was small.https://www.mdpi.com/1099-4300/19/12/654flow duration curveShannon entropyentropy parametermodelingspatial and dynamics characteristic |
| spellingShingle | Yu Zhang Vijay P. Singh Aaron R. Byrd Entropy Parameter M in Modeling a Flow Duration Curve Entropy flow duration curve Shannon entropy entropy parameter modeling spatial and dynamics characteristic |
| title | Entropy Parameter M in Modeling a Flow Duration Curve |
| title_full | Entropy Parameter M in Modeling a Flow Duration Curve |
| title_fullStr | Entropy Parameter M in Modeling a Flow Duration Curve |
| title_full_unstemmed | Entropy Parameter M in Modeling a Flow Duration Curve |
| title_short | Entropy Parameter M in Modeling a Flow Duration Curve |
| title_sort | entropy parameter m in modeling a flow duration curve |
| topic | flow duration curve Shannon entropy entropy parameter modeling spatial and dynamics characteristic |
| url | https://www.mdpi.com/1099-4300/19/12/654 |
| work_keys_str_mv | AT yuzhang entropyparameterminmodelingaflowdurationcurve AT vijaypsingh entropyparameterminmodelingaflowdurationcurve AT aaronrbyrd entropyparameterminmodelingaflowdurationcurve |