Determination of Best Fit Probability Distribution and Frequency Analysis of Threshold Rainfall under different Climate Change Scenarios

Adeboye, OB., Alatise, M. O. (2007). Performance of probability distributions and plotting positions in estimating the flood of river Osun at Apoje Sub-basin, Nigeria, Agricultural Engineering International: CIGR Journal, Accessed 1 Jul 2007.

Aksoy, H. (2000). Use of gamma distribution in hydrological analysis, Turkish Journal of Engineering and Environmental Sciences, 24, 419-428

Alam, M.A., Emura, K., Farnham, C., & Yuan, J. (2018). Best-Fit Probability Distributions and Return Periods for Maximum Monthly Rainfall in Bangladesh, Climate 6, 9.

Alam, M.A., Farnham, C., Emura, K. (2018). Best-Fit Probability Models for Maximum Monthly Rainfall in Bangladesh Using Gaussian Mixture Distributions, Geosciences, 8, 138.

Bhakar, S. R., Bansal, A. K., & Chhajed, N. (2008). Frequency analysis of consecutive days of maximum rainfall at Udaipur. ARPN Journal of Engineering and Applied Sciences, 89, 14-16.

Chow, V. T., Maidment, D. R., & Mays, L. W. (1988). Applied Hydrology. McGraw-Hill Series in Water Resources and Environmental Engineering

Conover, W. J. (1999). Practical Nonparametric Statistics, 3rd edn. Wiley and Sons, New York, pp 428–433.

Cunnane, C. (1978). Unbiased plotting positions—a review, Journal of Hydrology, 37, 205-222.

Deraman, WHAW., Mutalib, N. J. A., & Mukhtar, N. Z. (2017). Determination of return period for flood frequency analysis using normal and related distributions. In Journal of Physics, Conference Series 890, 012162.

Fikre, A. (2016). Selection of Best Fitted Probability Distribution Function for Daily Extreme Rainfall of Bale Zone, Ethiopia.

Groisman. P. Y., Knight, R. W., Easterling, D. R., Karl, T. R., Hegerl, G. C., & Razuvaev, V. N. (2005). Trends in intense precipitation in the climate record, Journal of climate, 18, 1326-1350.

Hanson, L. S., Vogel, R. (2008). The probability distribution of daily rainfall in the United States. In World Environmental and Water Resources Congress 2008, Ahupua'A 1-10.

Hirsch, R. M. (1981). Estimating probabilities of reservoir storage for the upper Delaware River basin, US Geological Survey.

Ho, M. K., & Yusof, F. (2013). Determination of best-fit distribution and rainfall events in Damansara and Kelantan, Malaysia, Matematika 29, 43-52.

Iran Meteorological Organization (2019). http://www.irimo.ir/far/services/climate/799

Jahani, H. R., & Reyhani, M. (2007). Role of groundwater in Tehran water crisis mitigation. The designations employed and the presentation of material throughout the publication do not imply the expression of any opinion whatsoever on the part of UNESCO concerning the legal status of any country, territory, city or of its authorities, or concerning the delimitation of its frontiers or boundaries, 115.

Khudri, M. M., & Sadia, F. (2013). Determination of the best fit probability distribution for annual extreme precipitation in Bangladesh, European Journal of Scientific Research, 103, 391-404.

Liu, J., Doan, C. D., Liong, S. Y., Sanders, R., Dao, A. T., & Fewtrell, T. (2015). Regional frequency analysis of extreme rainfall events in Jakarta, Natural Hazards 75, 1075-1104.

Mailhot, A., Beauregard, I., Talbot, G., Caya, D., & Biner, S. (2012). Future changes in intense precipitation over Canada assessed from multi‐model NARCCAP ensemble simulations. International journal of climatology, 32, 1151-1163.

Makkonen, L. (2008). Problems in the extreme value analysis. Structural Safety, 30, 405-419.

Mays, L. W. (2010). Water resources engineering, John Wiley and Sons, 8 Jun 2010.

Moore, B. J., Mahoney, K. M., Sukovich, E. M., Cifelli, R., & Hamill, T. M. (2015). Climatology and environmental characteristics of extreme precipitation events in the southeastern United States, Monthly Weather Review, 143, 718-741.

Murray, V., & Ebi, K. L. (2012). IPCC special report on managing the risks of extreme events and disasters to advance climate change adaptation (SREX)

Nadarajah, S. & Choi, D. (2007). Maximum daily rainfall in South Korea, Journal of Earth System Science, 116, 311-320.

Norbiato, D., Borga, M., Sangati, M., & Zanon, F. (2007). Regional frequency analysis of extreme precipitation in the eastern Italian Alps and the August 29, 2003 flash flood, Journal of hydrology, 345, 149-166.

Ogunlela, A. O. (2001). Stochastic analysis of rainfall events in Ilorin, Nigeria, Journal of Agricultural research and development, 1, 39-50.

Olofintoye, O. O., Sule, B. F., & Salami, A. W. (2009). Best–fit Probability distribution model for peak daily rainfall of selected Cities in Nigeria, New York Science Journal, 2, 1-12.

Onen, F., & Bagatur, T. (2017). Prediction of flood frequency factor for Gumbel distribution using regression and GEP model, Arabian Journal for Science and Engineering, 42, 3895-906.

Rosenberg, E. A., Keys, P. W., Booth, D. B., Hartley, D., Burkey, J., Steinemann, A. C., & Lettenmaier, D. P. (2010). Precipitation extremes and the impacts of climate change on stormwater infrastructure in Washington State, Climatic Change, 102, 319-349.

Rosenzweig, C., Iglesias, A., Yang, X. B., Epstein, P. R., & Chivian, E. (2001). Climate change and extreme weather events; implications for food production, plant diseases, and pests, Global change and human health, 2, 90-104.

Serinaldi, F., & Kilsby, C. G. (2015) Stationarity is undead: Uncertainty dominates the distribution of extremes, Advances in Water Resources, 77, 17-36.

Sharma, N. K., & Kumar, A. (2016). Frequency Analysis of Rainfall Data of Dharamshala Region, In MATEC Web of Conferences, Vol 57.

Shukla, R., Khare, D., & Deo, R. (2015). Statistical downscaling of climate change scenarios of rainfall and temperature over Indira Sagar Canal Command area in Madhya Pradesh, India. In2015 IEEE 14th International Conference on Machine Learning and Applications (ICMLA) 9 Dec 2015, 313-317.

Stedinger, J. R. (1993). Frequency analysis of extreme events. in Handbook of Hydrology

Stephens, M. A. (1974). EDF statistics for goodness of fit and some comparisons, Journal of the American Statistical Association, 69, 730-737.

Stocker, T., (2014). Climate change (2013) (ed) the physical science basis: Working Group I contribution to the Fifth assessment report of the Intergovernmental Panel on Climate Change. Cambridge university press, 24 Mar 2014.

Sun, H., Wang, G., Li, X., Chen, J., Su, B., & Jiang, T. (2017). Regional frequency analysis of observed sub-daily rainfall maxima over eastern China. Advances in Atmospheric Sciences, 34, 209-225.

Tao, D. Q., Nguyen, V. T., & Bourque, A. (2002). On selection of probability distributions for representing extreme precipitations in Southern Quebec. In Annual conference of the Canadian society for civil engineering, 8 Jun 2002, 1-8.

Tilahun, K. (2006). The characterisation of rainfall in the arid and semi-arid regions of Ethiopia, Water SA 32, 429-436.

Wigley, TML., Jones, P. D., Briffa, K. R., & Smith, G. (1990). Obtaining sub‐grid‐scale information from coarse‐resolution general circulation model output. Journal of Geophysical Research: Atmospheres, 95, 1943-1953.

Xu, C. Y. (1999). From GCMs to river flow: a review of downscaling methods and hydrologic modelling approaches, Progress in physical Geography, 23, 229-249.

Ye, L., Hanson, L. S., Ding, P., Wang, D., & Vogel, R. M. (2018). The probability distribution of daily precipitation at the point and catchment scales in the United States, Hydrology and Earth System Sciences, 22, 6519-6531.

Yuan, J., Emura, K., Farnham, C., & Alam, M. A. (2017). Frequency analysis of annual maximum hourly precipitation and determination of best fit probability distribution for regions in Japan, Urban climate 1 Jun 2018, 24, 276-86.

Zalina, M. D., Desa, M. N. M., Nguyen, V. T. A., & Kassim, A. H. M. (2002). Selecting a probability distribution for extreme rainfall series in Malaysia, Water science and technology, 45, 63-68.

Zhai, P., Zhang, X., Wan, H., & Pan, X. (2005). Trends in total precipitation and frequency of daily precipitation extremes over China, Journal of climate, 18,1096-108.

Zheng, Y., Xue, M., Li, B., Chen, J., & Tao, Z. (2016). Spatial characteristics of extreme rainfall over China with hourly through 24-hour accumulation periods based on national-level hourly rain gauge data, Advances in Atmospheric Sciences, 33, 1218-1232.

Zin, W. Z. W., Jemain, A. A., & Ibrahim, K. (2009). The best fitting distribution of annual maximum rainfall in Peninsular Malaysia based on methods of L-moment and LQ-moment, Theoretical and applied climatology, 96, 337-344.