Login



Other Articles by Author(s)

Sinan Jasim Hadi
Mustafa Tombul



Author(s) and WSEAS

Sinan Jasim Hadi
Mustafa Tombul


WSEAS Transactions on Computer Research


Print ISSN: 1991-8755
E-ISSN: 2415-1521

Volume 6, 2018

Notice: As of 2014 and for the forthcoming years, the publication frequency/periodicity of WSEAS Journals is adapted to the 'continuously updated' model. What this means is that instead of being separated into issues, new papers will be added on a continuous basis, allowing a more regular flow and shorter publication times. The papers will appear in reverse order, therefore the most recent one will be on top.



Trend Analysis and Formula Development of Extreme Rainfall Events: a Case Study of Hopa, Turkey

AUTHORS: Sinan Jasim Hadi, Mustafa Tombul

Download as PDF

ABSTRACT: I A damaging flood happened last year in Hopa which is located in Artvin province northeast of Turkey. In this study, analysis of the event conducted through time series analysis of the extreme rainfall events. Trend using Mann-Kendall (MK) and Cox and Stuart tests, stationarity using Kwiatkowski–Phillips– Schmidt–Shin (KPSS) and Phillips–Perron (PP) tests, and homogeneity using Pettit, Alexanderson’s SNHT, Buishand, and von Neumann’s tests are also determined. Five distribution functions are fitted to the data: Weibull 3, Normal, Log-Normal 3, Log-Pearson 3, and Gumbel. The best fitting distribution is identified using: Chi –Square, and Kolmogorov-Smirnov which then utilized in constructing intensity - duration – frequency (IDF) curve. A formula developed based on the IDF curve. The developed formula used for calculating the return periods of the flood event observations. Extreme rainfall events for all durations are found stationary without significant trend and homogenous. The best fitting distribution found is Gumbel. The developed formula promotes high correlation 0.994 between the predicted and the observed intensities. A return period of 211 years belonging to 4 hours’ storm duration is the highest calculated return period for the flood records using the developed formula. The intensity of the duration of 24 hours which causes the flood found to have a 41 years return period. Intensities of the durations ≤ 4 hours of the flood event found less than the records of the extreme events observed in 1988 while for the durations > 4 hours are higher.

KEYWORDS: hopa, intensity-duration-frequency, rainfall, Gumbel, flood, trend analysis, stationarity

REFERENCES:

[1] IPCC, Climate Change 2007: The Physical Science Basis. Contribution ofWorking Group I to the Fourth Assessment Report of the Intergovernmental Panel on Climate Change. Cambridge and NewYork: Cambridge University Press, 2007.

[2] a. G. Yilmaz and B. J. C. Perera, 'Extreme Rainfall Non-Stationarity Investigation and Intensity-Frequency-Duration Relationship,' Journal of Hydrologic Engineering, 2013.

[3] A. G. Yilmaz, M. A. Imteaz, and B. J. C. Perera, 'Investigation of non-stationarity of extreme rainfalls and spatial variability of rainfall intensity–frequency–duration relationships: a case study of Victoria, Australia,' International Journal of Climatology, 2016.

[4] E. A. Rosenberg, P. W. Keys, D. B. Booth, D. Hartley, J. Burkey, A. C. Steinemann, et al., 'Precipitation extremes and the impacts of climate change on stormwater infrastructure in Washington State,' Climatic Change, vol. 102, No. 1-2, 2010, pp. 319-349.

[5] B. S. Dupont and D. L. Allen, 'Revision of the rainfall intensity duration curves for the commonwealth of kentucky,' USA2000.

[6] I. H. Elsebaie, 'Developing rainfall intensity–duration–frequency relationship for two regions in Saudi Arabia,' vol. 24, ed, 2012, pp. 131-140.

[7] S. A. AlHassoun, 'Developing an empirical formulae to estimate rainfall intensity in Riyadh region,' vol. 23, ed, 2011, pp. 81- 88.

[8] D. Koutsoyiannis, 'On the appropriateness of the gumbel distribution in modelling extreme rainfall,' University of Bologna, Bologna, 2003, pp. 303-319.

[9] D. Koutsoyiannis, D. Kozonis, and A. Manetas, 'A mathematical framework for studying rainfall intensity-durationfrequency relationships,' Journal of Hydrology, vol. 206, No. 1-2, 1998, pp. 118-135.

[10] V. R. Baghirathan and E. M. Shaw, 'Rainfall depth-duration-frequency studies for Sri Lanka,' Journal of Hydrology, vol. 37, No. 3-4, 1978, pp. 223-239.

[11] A. Gert, D. J. Wall, E. L. White, and C. N. Dunn, 'Regional Rainfall intensityduration-function curves for Pennsylvania,' Water Resources Bull, vol. 23, 1987, pp. 479-486.

[12] T. A. Buishand, Rainfall Depth-Durationfrequency curves a problem of dependent extremes. Chichester: WILEY, 1993.

[13] T. A. Endreny and N. Imbeah, 'Generating robust rainfall intensity-duration-frequency estimates with short-record satellite data,' Journal of Hydrology, vol. 371, No. 1-4, 2009, pp. 182-191.

[14] D. M. Hersfield, 'Estimating the probable maximum precipitation,' Journal of the hydraulics Division, vol. 87, No. HY5, 1961, pp. 99-116.

[15] R. Acar, S. Celik, and S. Senocak, 'Rainfall Intensity-Duration - Frequency Model using an artificial neural network approach,' Journal of Scientific & industrial Research, vol. 67, 2008, pp. 198-202.

[16] R. Acar and S. Senocak, 'Modelling of Short Duration Rainfall (SDR) Intensity Equations for Ankara, Turkey,' Republic of Macedonia, 2008, pp. 1-9.

[17] O. L. Asikoglu and B. Ertugrul, 'Simple generalization approach for intensity– duration– frequency relationships,' HYDROLOGICAL PROCESSES, vol. 28, 2014, pp. 1114-1123.

[18] T. Haktanir, M. Cobaner, and O. Kisi, 'Frequency analyses of annual extreme rainfall series from 5 min to 24 h,' Hydrological Processes, vol. 24, No. 24, 2010, pp. 3574-3588.

[19] S. Senocak and R. Acar, 'Modelling of Short Duration Rainfall (SDR) Intensity Equations for Erzurum, Turkey,' Journal of Engineering Science, vol. 13, No. 1, 2007, pp. 75-80.

[20] S. Senocak and R. Acar, 'Modelling of short-duration rainfall intensity equations for the Agean region of Turkey,' FRESENIUS ENVIRONMENTAL BULLETIN, vol. 16, No. 9b, 2007.

[21] W. T. Chow, Handbook of Applied Hydrology: McGraw-Hill, 1988.

[22] V. P. Singh, Elementary hydrology. New Jersey: Prentice Hall, 1992.

[23] L. M. Nhat, Y. Tachikawa, and K. Takara, 'Establishment of intensity-durationfrequency curves for precipitation in the monsoon area of Vietnam,' Annuals of Dis. Prev. Res. Inst, No. 49B, 2006, pp. 93-103.

[24] M. M. Rashid, S. B. Faruque, and J. B. Alam, 'Modeling of Short Duration Rainfall Intensity Duration Frequency (SDRIDF) Equation for Sylhet City in Bangladesh,' Journal of Science and Technology, vol. 2, No. 2, 2012.

[25] R. R. Pettit, 'DISCUSSION,' The Journal of Finance, vol. 34, No. 2, 1979, pp. 470- 472.

[26] H. Alexandersson, 'A homogeneity test applied to precipitation data,' Journal of Climatology, vol. 6, No. 6, 1986, pp. 661- 675.

[27] H. Alexandersson and A. Moberg, 'HOMOGENIZATION OF SWEDISH TEMPERATURE DATA. PART I: HOMOGENEITY TEST FOR LINEAR TRENDS,' International Journal of Climatology, vol. 17, No. 1, 1997, pp. 25- 34.

[28] T. A. Buishand, 'Some methods for testing the homogeneity of rainfall records,' Journal of Hydrology, vol. 58, No. 1, 1982/08/01 1982, pp. 11-27.

[29] R. Bartels, 'The Rank Version of von Neumann's Ratio Test for Randomness,' Journal of the American Statistical Association, vol. 77, No. 377, 1982, pp. 40- 46.

[30] A. K. Taxak, A. R. Murumkar, and D. S. Arya, 'Long term spatial and temporal rainfall trends and homogeneity analysis in Wainganga basin, Central India,' Weather and Climate Extremes, vol. 4, 8// 2014, pp. 50-61.

WSEAS Transactions on Computer Research, ISSN / E-ISSN: 1991-8755 / 2415-1521, Volume 6, 2018, Art. #2, pp. 8-17


Copyright © 2018 Author(s) retain the copyright of this article. This article is published under the terms of the Creative Commons Attribution License 4.0

Bulletin Board

Currently:

The editorial board is accepting papers.


WSEAS Main Site