A comparison of three parameter estimation methods of the gamma distribution of annual maximum low flow duration and deficit in the Upper Vistula catchment (Poland)
Authors:
- Katarzyna Baran-Gurgul
Abstract
Based on 30-year 24-hour flow sequences at 69 water gauging stations in the Upper Vistula catchment, it was determined that the probability distributions of the low flow duration and its maximum annual deficit can be described by the gamma distribution with the estimated parameters by the methods: MOM, the method of moments, LMOM, the method of linear moments, and MLE, the method of maximum likelihood. The stationarity of the time series was tested by the Mann-Kendall correlation using the Hamed and Rao variance correction. The low flows were defined by the SPA method, with the limit flow Q70%. The quality of the match was tested by the Anderson-Darling goodness of fit test. This test allowed accepting the gamma distribution in all analysed cases, regardless of the method used to estimate the distribution parameters, since the pv (p-values) values were greater than 5% (over 18% for Tmax and 7.5% for Vmax). The highest pv values for individual water gauging stations, as well as the highest 90% Tmax and Vmax quantiles were noted using LMOM to estimate the gamma distribution parameters. The highest 90% Tmax and Vmax quantiles were observed in the uppermost part of the studied area.
- Record ID
- CUTb4e0f0fa9c224b8ab81edab29da737fe
- Publication categories
- ; ;
- Author
- Journal series
- ITM Web of Conferences , ISSN , e-ISSN 2271-2097, Irregular
- Issue year
- 2018
- Vol
- 23
- Pages
- [1-8]
- Article number
- 00001
- Other elements of collation
- rys.; tab.; wykr.; Bibliografia (na s.) - 8; Bibliografia (liczba pozycji) - 36; Oznaczenie streszczenia - Abstr.; Numeracja w czasopiśmie - Vol. 23
- Conference
- XLVIII Seminar of Applied Mathematics, 2018, 09-09-2018 - 11-09-2018, Boguszów-Gorce, Polska
- Keywords in English
- low flow, duration, deficit, Upper Vistula catchment
- DOI
- DOI:10.1051/itmconf/20182300001 Opening in a new tab
- URL
- https://www.itm-conferences.org/articles/itmconf/abs/2018/08/itmconf_sam2018_00001/itmconf_sam2018_00001.html Opening in a new tab
- Language
- eng (en) English
- License
- Score (nominal)
- 15
- Publication indicators
- = 4
- Additional fields
- Indeksowana w: Web of Science
- Uniform Resource Identifier
- https://cris.pk.edu.pl/info/article/CUTb4e0f0fa9c224b8ab81edab29da737fe/
- URN
urn:pkr-prod:CUTb4e0f0fa9c224b8ab81edab29da737fe
* presented citation count is obtained through Internet information analysis, and it is close to the number calculated by the Publish or PerishOpening in a new tab system.