Image Presentation

BIVARIATE ANALYSIS OF PRECIPITATION AND RUNOFF IN THE HIRFANLI DAM BASIN, TURKEY, USING COPULAS

Volume: 7 Number: 3 September 1, 2014
  • Emel Kızılok Kara
  • Osman Yıldız.
EN

BIVARIATE ANALYSIS OF PRECIPITATION AND RUNOFF IN THE HIRFANLI DAM BASIN, TURKEY, USING COPULAS

Abstract

A bivariate analysis of precipitation and runoff in the Hirfanli dam basin, Turkey, using copulasis performed in this study. Two elliptical (Gaussian and Student-t) and three Archimedean family copulas(Clayton, Frank and Gumbel) are tested in modeling of the dependence structure between these hydrologicalvariables. The regionally averaged annual precipitation depths and runoff volumes measured at the entranceof the Hirfanli dam reservoir between 1954 and 2003 are utilized for the parameter estimation and modeling. Different graphical tools and numerical techniques are employed for the appropriate model selection,parameter estimation and goodness-of-Şt tests

Keywords

References

  1. C. Genest and A.C. Favre. (2007). Everything you always wanted to know about copula modeling but were afraid to ask. Journal of Hydrologic Engineering, July/August, 347-368.
  2. A.C. Favre, S. El Adlouni, L. Perreault, N.Thimonge and B. Bobe. (2004). Multivariate hydrological frequency analysis using copulas. Water Resources Research, 40(1): W01101, 1-12.
  3. J.T.Shiau. (2006). Fitting drought duration and severity with two-dimensional copulas.Water Resources Management, 20(5), 795-815.
  4. A. I. Requena, L. Mediero, L. And L. Garrote. (2013). Bivariate return period based on copulas for hydrologic dam design: comparison of theoretical and empirical approach. Hydrology and Earth System
  5. Sciences Discussions, 10(1), 557-596. O. Yildiz. (2009). Assessing temporal and spatial characteristics of droughts in the Hirfanli dam basin,
  6. Turkey. ScientiŞc Research and Essays, 4(4), 249-255. A. Sklar. (1959). Fonctions de rpartitions n dimensions et leurs marges. Publ. Inst. Stat. Univ. Paris, , 229-231.
  7. H. Joe. (1997). Multivariate Models and Dependence Concepts, Chapman & Hall, London.
  8. R.B. Nelsen. (2006). An Introduction to Copulas, (second ed) Springer, New York.

Details

Primary Language

English

Subjects

Statistical Analysis

Journal Section

Image Presentation

Authors

Emel Kızılok Kara This is me

Osman Yıldız. This is me

Publication Date

September 1, 2014

Submission Date

September 1, 2014

Acceptance Date

-

Published in Issue

Year 2014 Volume: 7 Number: 3

APA
Kara, E. K., & Yıldız., O. (2014). BIVARIATE ANALYSIS OF PRECIPITATION AND RUNOFF IN THE HIRFANLI DAM BASIN, TURKEY, USING COPULAS. Istatistik Journal of The Turkish Statistical Association, 7(3), 63-70. https://izlik.org/JA47UU23BX
AMA
1.Kara EK, Yıldız. O. BIVARIATE ANALYSIS OF PRECIPITATION AND RUNOFF IN THE HIRFANLI DAM BASIN, TURKEY, USING COPULAS. IJTSA. 2014;7(3):63-70. https://izlik.org/JA47UU23BX
Chicago
Kara, Emel Kızılok, and Osman Yıldız. 2014. “BIVARIATE ANALYSIS OF PRECIPITATION AND RUNOFF IN THE HIRFANLI DAM BASIN, TURKEY, USING COPULAS”. Istatistik Journal of The Turkish Statistical Association 7 (3): 63-70. https://izlik.org/JA47UU23BX.
EndNote
Kara EK, Yıldız. O (September 1, 2014) BIVARIATE ANALYSIS OF PRECIPITATION AND RUNOFF IN THE HIRFANLI DAM BASIN, TURKEY, USING COPULAS. Istatistik Journal of The Turkish Statistical Association 7 3 63–70.
IEEE
[1]E. K. Kara and O. Yıldız., “BIVARIATE ANALYSIS OF PRECIPITATION AND RUNOFF IN THE HIRFANLI DAM BASIN, TURKEY, USING COPULAS”, IJTSA, vol. 7, no. 3, pp. 63–70, Sept. 2014, [Online]. Available: https://izlik.org/JA47UU23BX
ISNAD
Kara, Emel Kızılok - Yıldız., Osman. “BIVARIATE ANALYSIS OF PRECIPITATION AND RUNOFF IN THE HIRFANLI DAM BASIN, TURKEY, USING COPULAS”. Istatistik Journal of The Turkish Statistical Association 7/3 (September 1, 2014): 63-70. https://izlik.org/JA47UU23BX.
JAMA
1.Kara EK, Yıldız. O. BIVARIATE ANALYSIS OF PRECIPITATION AND RUNOFF IN THE HIRFANLI DAM BASIN, TURKEY, USING COPULAS. IJTSA. 2014;7:63–70.
MLA
Kara, Emel Kızılok, and Osman Yıldız. “BIVARIATE ANALYSIS OF PRECIPITATION AND RUNOFF IN THE HIRFANLI DAM BASIN, TURKEY, USING COPULAS”. Istatistik Journal of The Turkish Statistical Association, vol. 7, no. 3, Sept. 2014, pp. 63-70, https://izlik.org/JA47UU23BX.
Vancouver
1.Emel Kızılok Kara, Osman Yıldız. BIVARIATE ANALYSIS OF PRECIPITATION AND RUNOFF IN THE HIRFANLI DAM BASIN, TURKEY, USING COPULAS. IJTSA [Internet]. 2014 Sep. 1;7(3):63-70. Available from: https://izlik.org/JA47UU23BX