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Analysis of Rainfall, Missing Data, Frequency and PMP in Al-Madinah Area, Western Saudi Arabia

  • Nassir S. Al-AmriEmail author
  • Ali M. Subyani
Chapter
Part of the Regional Geology Reviews book series (RGR)

Abstract

The estimation of rainfall variability, especially in arid regions, represents a major element for flood prediction and water resources development design works. Such a task presents a major challenge to water resources engineers and hydrologists in arid regions due to the extreme random and erratic nature of rainfall events, which is further compounded by climate change impact. In arid region that covers major portion of Saudi Arabia, the length of rainfall and runoff records is usually short and sometime with information gaps for undertaking proper design work. Such constraints present a difficulty in the application of rainfall and runoff frequencies. In this study the application of different frequency for stations with missing rainfall record in Al-Madinah region, located in western Saudi Arabia was addressed. The analysis first used the record of 10 rainfall stations over the period of 1970–2015 (46-years), to fill the missing information through the application of Inverse Distance Weighted and Kriging techniques and later applied Gamma and GEV probability density distributions. The two distributions parameters were estimated and tested by the K-S and Chi square tests. The two distributions predication estimated the maximum annual rainfall depths for 100, 200, 300, 500 and 1000 years return periods. The Gamma distribution provided a better fits for 3 stations with values ranging from 64 to 92 mm depths for the 100 year return period while GEV for the remaining 7 stations ranging from 55 to 107 mm depth. In addition, the Probable Maximum Precipitation (PMP) technique was applied to estimate the different return periods based on 24-h maximum annual amounts. The proposed approach may provide a mean to estimate the design rainfall depth for stations with missing records, however, it may require further evaluation for other regions of Saudi Arabia or other areas of similar characteristics.

Keywords

Filling missing data Rainfall frequency distributions PMP Al-Madinah Saudi Arabia 

Notes

Acknowledgements

The authors wish to express their deep thanks and gratitude to Bariq Mining Ltd., Jeddah, Saudi Arabia for their kind financial support, where this paper is a part of Contract No BML-JD-12-050. Thanks are also expressed to the Ministry of Water and Electricity, Riyadh, KSA, for supporting this research by meteorological data.

References

  1. Abdulrazzak MJ, Sorman A, Onder K, Al-Sari A (1995) Flood estimation and impact: southwestern region of Saudi Arabia. King Abdulaziz City for Science and Technology, Project No. ARP-10-51, Riyadh, Saudi ArabiaGoogle Scholar
  2. Aksoy H (2000) Use of gamma distribution in hydrological analysis. Turk J Eng Environ Sci 24:419–428Google Scholar
  3. Al-Ahmadi FS (2014) Evaluation of the best fit distribution for partial duration series of daily rainfall in Madinah, West of Saudi Arabia. In: Evolving water resources system: understanding, predicting and managing water-society interactions, Proceedings of ICWRS 2014, Bologna, Italy, June 2014 (IAHS Publ. 364, 2014)Google Scholar
  4. Al-Jerash M (1989) Data for climatic water balance. Scientific Publishing Center, King Abdulaziz University, Jeddah, Saudi ArabiaGoogle Scholar
  5. Brown GF, Schmidt DL, Huffman Jr AC (1989) Geology of the Arabian Peninsula, shield area of western Saudi Arabia. USGS professional paper, 560-AGoogle Scholar
  6. Cunnane C (1988) Methods and merits of regional flood frequency analysis. J Hydrol 100:269–290CrossRefGoogle Scholar
  7. Davis J (2002) Statistics and data analysis in geology, 3rd edn. Wiley, New YorkGoogle Scholar
  8. De Silva RP, Dayawansa ND, Ratnasiri MD (2007) A comparison of methods used in estimating missing rainfall data. J Agric Sci 3(2):101–108Google Scholar
  9. El-Khatib A (1980) Seven green spikes. Ministry of Agriculture and Water, Riyadh, Kingdom of Saudi ArabiaGoogle Scholar
  10. Filho WL (2012) Climate change and the sustainable use of water resources. Springer, New YorkCrossRefGoogle Scholar
  11. German Consult (1979) Investigation and detailed studies for the agricultural development of South Tihama. Final report and preliminary design for Ministry of Agriculture and Water, Riyadh, Saudi ArabiaGoogle Scholar
  12. Hassan GB, Ping F (2012) Regional rainfall frequency analysis for the Luanhe Basin—by using L-moments and cluster techniques. APCBEE Proc 1:126–135CrossRefGoogle Scholar
  13. Hershfield DM (1961) Rainfall frequency atlas of the United States for durations from 30 minutes to 24 h and return periods from 1 to 100 years. Weather Bureau. Technical paper no. 40. US Weather Bureau, Washington, DCGoogle Scholar
  14. Hosking JR, Wallis JR (1997) Regional frequency analysis: an approach based on L-moments. Cambridge University Press, Cambridge, UKCrossRefGoogle Scholar
  15. Isaaka E, Srivastava R (1989) An introduction to applied geostatistics. Oxford University Press, New YorkGoogle Scholar
  16. Kemp J, Gros Y, Prian J (1982) Geologic map of the Mahd Adh Dhahab Quadrangle. Sheet 23 E, Deputy Ministry for Mineral Resources, Kingdom of Saudi Arabia, JeddahGoogle Scholar
  17. Millington N, Das S, and Simonovic S (2011) The comparison of GEV, Log-Pearson Type 3 and Gumbe l distributions in the Upper Thames River watershed under global climate models. Report No. 77. The University of Western Ontario, CanadaGoogle Scholar
  18. Ministry of Water and Electricity (2016) Climate data reports. Hydrology Division, Riyadh, Saudi ArabiaGoogle Scholar
  19. Nouh MA (2006) Wadi flow in the Arabian Gulf states. Hydrol Process 20:2393–2413CrossRefGoogle Scholar
  20. Saudi Arabian Dames and Moore (1988) Ministry of Agriculture and Water. Water resources development. Al-Lith Basin, Final report, vol EGoogle Scholar
  21. Schlumberger Water Services (2012) Hydrological assessment report. Detailed water resources studies of western coastal plain of Saudi Arabia. Ministry of Water and Electricity, Riyadh, Saudi ArabiaGoogle Scholar
  22. Şen Z (1983) Hydrology of Saudi Arabia. In: Symposium on water resources in Saudi Arabia. King Saud University, Riyadh, pp A68–A94Google Scholar
  23. Şen Z (2008) Wadi hydrology. CRC Press, New YorkCrossRefGoogle Scholar
  24. Şen Z (2009) Spatial modeling principles in earth sciences. Springer, New YorkCrossRefGoogle Scholar
  25. Şen Z, Eljadid A (1999) Rainfall distribution function for Libya and rainfall prediction. Hydrol Sci J 5(44):665–680CrossRefGoogle Scholar
  26. Sogreah (1968) Water and agricultural development survey for area IV. Final report. Ministry of Agriculture and Water, Riyadh, Saudi ArabiaGoogle Scholar
  27. Şorman A, Abdulrazzak MJ, Onder, H (1991) Analysis of maximum flood events and their probability functions under arid climate conditions in Saudi Arabia. In: International hydrology and water resources symposium, PerthGoogle Scholar
  28. Subyani AM (2004) Geostatistical study of annual and seasonal mean rainfall patterns in southwest Saudi Arabia. Hydrol Sci J 49:803–817CrossRefGoogle Scholar
  29. Subyani AM, Qari MH, Matsah ME, Al-Modayan AA, Al-Ahmadi FS (2009) Utilizing remote sensing and GIS techniques to reduce hydrological and environmental hazards in some wadis, Western Saudi Arabia (Jeddah-Yanbu), Project No. APR 25/101. King Abdulaziz City for Sciences and TechnologyGoogle Scholar
  30. Subyani AM, Al-Ahmadi FS (2011) Rainfall-runoff modeling in Al-Madinah area of western Saudi Arabia. J Environ Hydrol 19:1Google Scholar
  31. Subyani AM, Al-Amri NS (2013) Hydrological study of Jabal Sayid project. Final Report. Bariq Mining Ltd., Jeddah, Saudi ArabiaGoogle Scholar
  32. Tabios G III, Salas JD (1985) A comparative analysis of techniques for spatial interpolation of precipitation. Water Res Bull 21(3):365–380CrossRefGoogle Scholar
  33. WMO (2008) Guide to hydrological practices. In: Volume I: hydrology—from measurement to hydrological information. World Meteorological Organization No. 168, GenevaGoogle Scholar

Copyright information

© Springer Nature Switzerland AG 2020

Authors and Affiliations

  1. 1.Department of Hydrology and Water Resources ManagementKing Abdulaziz UniversityJeddahSaudi Arabia
  2. 2.Water Research CenterKing Abdulaziz UniversityJeddahSaudi Arabia

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