Universal Power Law for Relationship between Rainfall Kinetic Energy and Rainfall Intensity
Rainfall kinetic energy has been linked to linear, exponential, logarithmic, and power-law functions using rainfall intensity as an independent variable. The power law is the most suitable mathematical expression used to relate rainfall kinetic energy and rainfall intensity. In evaluating the rainfa...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2016-01-01
|
| Series: | Advances in Meteorology |
| Online Access: | http://dx.doi.org/10.1155/2016/2494681 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832550369343832064 |
|---|---|
| author | Seung Sook Shin Sang Deog Park Byoung Koo Choi |
| author_facet | Seung Sook Shin Sang Deog Park Byoung Koo Choi |
| author_sort | Seung Sook Shin |
| collection | DOAJ |
| description | Rainfall kinetic energy has been linked to linear, exponential, logarithmic, and power-law functions using rainfall intensity as an independent variable. The power law is the most suitable mathematical expression used to relate rainfall kinetic energy and rainfall intensity. In evaluating the rainfall kinetic energy, the empirical power laws have shown a larger deviation than other functions. In this study, universal power law between rainfall kinetic energy and rainfall intensity was proposed based on the rainfall power theory under an ideal assumption that drop-size is uniformly distributed in constant rainfall intensity. An exponent of the proposed power law was 11/9 and coefficient was estimated at 10.3 from the empirical equations of the existing power-law relation. The rainfall kinetic energy calculated by universal power law showed >95% concordance rate in comparison to the average values calculated from exponential and logarithmic functions used in soil erosion model such as USLE, RUSLE, EUROSEM, and SEMMA and <5% relative difference as compared to the average rainfall kinetic energies calculated by other empirical functions. Therefore, it is expected that power law of ideal assumption may be utilized as a universal power law in evaluating rainfall kinetic energy. |
| format | Article |
| id | doaj-art-a8a6d573d6254c48bb16019471c163e8 |
| institution | Kabale University |
| issn | 1687-9309 1687-9317 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Meteorology |
| spelling | doaj-art-a8a6d573d6254c48bb16019471c163e82025-02-03T06:07:02ZengWileyAdvances in Meteorology1687-93091687-93172016-01-01201610.1155/2016/24946812494681Universal Power Law for Relationship between Rainfall Kinetic Energy and Rainfall IntensitySeung Sook Shin0Sang Deog Park1Byoung Koo Choi2Disaster Prevention Research Institute, Gangneung-Wonju National University, Gangneung 210-702, Republic of KoreaDepartment of Civil Engineering, Gangneung-Wonju National University, Gangneung 210-702, Republic of KoreaDepartment of Forest Environment Protection, Kangwon National University, Chuncheon 200-701, Republic of KoreaRainfall kinetic energy has been linked to linear, exponential, logarithmic, and power-law functions using rainfall intensity as an independent variable. The power law is the most suitable mathematical expression used to relate rainfall kinetic energy and rainfall intensity. In evaluating the rainfall kinetic energy, the empirical power laws have shown a larger deviation than other functions. In this study, universal power law between rainfall kinetic energy and rainfall intensity was proposed based on the rainfall power theory under an ideal assumption that drop-size is uniformly distributed in constant rainfall intensity. An exponent of the proposed power law was 11/9 and coefficient was estimated at 10.3 from the empirical equations of the existing power-law relation. The rainfall kinetic energy calculated by universal power law showed >95% concordance rate in comparison to the average values calculated from exponential and logarithmic functions used in soil erosion model such as USLE, RUSLE, EUROSEM, and SEMMA and <5% relative difference as compared to the average rainfall kinetic energies calculated by other empirical functions. Therefore, it is expected that power law of ideal assumption may be utilized as a universal power law in evaluating rainfall kinetic energy.http://dx.doi.org/10.1155/2016/2494681 |
| spellingShingle | Seung Sook Shin Sang Deog Park Byoung Koo Choi Universal Power Law for Relationship between Rainfall Kinetic Energy and Rainfall Intensity Advances in Meteorology |
| title | Universal Power Law for Relationship between Rainfall Kinetic Energy and Rainfall Intensity |
| title_full | Universal Power Law for Relationship between Rainfall Kinetic Energy and Rainfall Intensity |
| title_fullStr | Universal Power Law for Relationship between Rainfall Kinetic Energy and Rainfall Intensity |
| title_full_unstemmed | Universal Power Law for Relationship between Rainfall Kinetic Energy and Rainfall Intensity |
| title_short | Universal Power Law for Relationship between Rainfall Kinetic Energy and Rainfall Intensity |
| title_sort | universal power law for relationship between rainfall kinetic energy and rainfall intensity |
| url | http://dx.doi.org/10.1155/2016/2494681 |
| work_keys_str_mv | AT seungsookshin universalpowerlawforrelationshipbetweenrainfallkineticenergyandrainfallintensity AT sangdeogpark universalpowerlawforrelationshipbetweenrainfallkineticenergyandrainfallintensity AT byoungkoochoi universalpowerlawforrelationshipbetweenrainfallkineticenergyandrainfallintensity |