Modelling Annual Rainfall of Krishna and Godavari River Basins using Extreme Value Type-1 Distribution

Vivekanandan N.*
*Assistant Research Officer, Hydrometeorology Division, Central Water and Power Research Station, Pune, Maharashtra, India.
Periodicity:March - May'2014
DOI : https://doi.org/10.26634/jste.3.1.2979

Abstract

Assessment of annual rainfall for a river basin is of utmost importance for planning, design and management of water resources projects. This paper illustrates the use of six parameter estimation methods of Extreme Value Type-1 (EV1) distribution for modelling annual rainfall of Krishna and Godavari river basins. Goodness-of-Fit (GoF) tests such as Anderson-Darling and Kolmogorov-Smirnov are used for checking the adequacy of fitting of EV1 distribution to the recorded rainfall data. A diagnostic test of root mean square error is used for the selection of a suitable method for modelling annual rainfall. Based on GoF and diagnostic test results, probability weighted moments is identified as best suited method for modelling annual rainfall of Krishna and Godavari river basins.

Keywords

Keywords: Anderson-Darling, Kolmogorov-Smirnov, Mean Square Error, Probability Weighted Moments, Rainfall.

How to Cite this Article?

Vivekanandan, N. (2014). Modelling Annual Rainfall of Krishna and Godavari River Basins using Extreme Value Type-1 Distribution. i-manager’s Journal on Structural Engineering, 3(1), 7-12. https://doi.org/10.26634/jste.3.1.2979

References

[1]. Arora, K., & Singh, V.P. (1987). “On statistical intercomparison of EVI estimators by Monte Carlo simulation”. Advanced Water Resources, 10 (2), pp.87- 107.
[2]. Atomic Energy Regulatory Board (AERB, 2008). “Extreme values of meteorological parameters”, AERB Guide No. NF/SG/ S-3.
[3]. Baratti, E., Montanari, A., Castellarin, A., Salinas, J.L., Viglione, A., & Bezzi, A. (2012). “Estimating the flood frequency distribution at seasonal and annual time scales”. Hydrological Earth System Science, 16 (12), pp.4651 –4660.
[4]. Casas, M.C., Rodriguez, R., Prohom, M., Gazquez, A., & Redano, A. (2011). “Estimation of the probable maximum precipitation in Barcelona (Spain)”. Journal of Climatology, 31 (9), pp.1322–1327.
[5]. Gumbel, E.J. (1960). “Statistic of Extremes”, 2 Edition, Columbia University Press, New York, USA.
[6]. Indian Institute of Tropical Meteorology (IITM, 2007). “Characteristics of hydrological wet season over different river basins in India”. IITM Report No. RR-119.
[7]. Landwehr, J.M., Matalas, N.C., & Wallis, J.R. (1979). “Probability weighted moments compared with some traditional techniques in estimating Gumbel parameters and quantiles”. Water Resources Research, 15 (5), 1055- 1064.
[8]. Lieblein, J. (1974). “Note on simplified estimates for Type I extreme value distribution”. NBSIR 75-647, National Bureau of Standards, Washington.
[9]. Manik, D., & Datta, S.K. (1998). “A comparative study of estimation of extreme value”, Journal of River Behaviour and Control, 25 (1), pp. 41-47.
[10]. Mujere, N. (2011). “Flood frequency analysis using the Gumbel distribution”. Journal of Computer Science and Engineering, 3 (7), pp.2774-2778.
[11]. Phien, H.N. (1987). “A review of methods of parameter estimation for the extreme value type–1 distribution”. Journal of Hydraulics, 90 (3 & 4), 251-268.
[12]. Ranyal, J.A., & Salas, J.D. (1986). “Estimation procedures for the type-1 extreme value distribution”, Journal of Hydrology, 87 (3 & 4), pp.315-336.
[13]. Uboldi, F., Sulis, A.N., Lussana, C., Cislaghi, M., & Russo, M. (2013). “A spatial bootstrap technique for parameter estimation of rainfall annual maxima distribution”, Hydrology and Earth System Sciences Discussions, 10 (10), pp.11755–11794.
[14]. Vijayagopal, P., Vivekanandan, N., & Kannan, S. (2013). “Assessing adequacy of probability distribution for development of IDF relationships for Mandla and Jabalpur”, International Journal of Scientific Research and Reviews, 2 (3), pp.99-114.
[15]. Zhang, J. (2002). “Powerful goodness-of-fit tests based on the likelihood ratio”, Journal of Royal Statistical Society, 64 (2), pp.281-294.
If you have access to this article please login to view the article or kindly login to purchase the article

Purchase Instant Access

Single Article

North Americas,UK,
Middle East,Europe
India Rest of world
USD EUR INR USD-ROW
Pdf 35 35 200 20
Online 35 35 200 15
Pdf & Online 35 35 400 25

Options for accessing this content:
  • If you would like institutional access to this content, please recommend the title to your librarian.
    Library Recommendation Form
  • If you already have i-manager's user account: Login above and proceed to purchase the article.
  • New Users: Please register, then proceed to purchase the article.