Skip to main content

Identification of Seasonal Rainfall Peaks at Kelantan Using Fourier Series

  • Conference paper
  • First Online:
ISFRAM 2015

Abstract

This study aimed to identify the wet period, peaks of mean rainfall amount per rainy day at Kelantan River basin. Daily rainfall data from 12 selected rainfall stations for the period of 1975–2014 which comprises of three main areas such as inland, river, and coastal are analyzed. The estimated wet period, date, and value at peak of mean rainfall amount per rainy day will be identified using Fourier series and compared with the actual flood events in 2013/2014 and 2014/2015. The findings indicate that duration of wet periods obtained from the results of best fitting justifies the flood event occurred most recently. Moreover, the coastal area of Kelantan also shows the highest probability of rainfall amounts exceeding 60 mm.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 89.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 119.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Similar content being viewed by others

References

  1. Jimoh OD, Webster P (1999) Stochastic modeling of daily rainfall in Nigeria: intra-annual variation of model parameters. J Hydrol 222:1–17

    Article  Google Scholar 

  2. Woolhiser DA, Pegram GGS (1979) Maximum likelihood estimation of Fourier coefficients to describe seasonal variations of parameters in stochastic daily precipitation models. J Appl Meteorol 18(1):34–44

    Article  Google Scholar 

  3. Kottegoda NT, Natale L, Raiteri E (2004) Some considerations of periodicity and persistence in daily rainfalls. J Hydrol 296:23–37

    Article  Google Scholar 

  4. Edelsten PR (1976) A stochastic model of the weather at Hurley in S.E. Engl Meteorol Mag 105:206–214

    Google Scholar 

  5. Coe R, Stern RD (1982) Fitting models to daily rainfall data. J Appl Meteorol 21:1024–1031

    Article  Google Scholar 

  6. Stern RD, Coe R (1984) A model fitting analysis of daily rainfall data. J Roy Stat Soc Ser A 147:1–34

    Article  Google Scholar 

  7. Suhaila J, Jemain AA (2009) A comparison of the rainfall pattern between stations on the east and west coasts of Peninsular Malaysia using the smoothing model of rainfall amounts. Meteorol Appl 16:391–401

    Article  Google Scholar 

  8. Suhaila J, Deni SM, Jemain AA (2008) Detecting inhomogeneity of rainfall series in Peninsular Malaysia. Asia-Pac J Atmos Sci 44(4):369–380

    Google Scholar 

  9. Sullivan DO, Unwin DJ (2003) Geographic information analysis. Wiley, Hoboken

    Google Scholar 

  10. Firth D (1988) Multiplicative errors: lognormal or gamma? J Roy Stat Soc Ser B 50:266–268

    Google Scholar 

  11. McCullagh P, Nelder JA (1989) Generalized linear models. Chapman and Hall, London

    Book  Google Scholar 

  12. Garbutt DJ, Stern RD, Dennett MD, Elston J (1981) A comparison of the rainfall climate of eleven places in West Africa using a two part model of daily rainfall. Arch Meteorol Geophys Bioclimatol Ser B 29:137–155

    Article  Google Scholar 

Download references

Acknowledgment

The authors are indebted to the staff of the Drainage and Irrigation Department and Malaysia Meteorological Department for providing the daily rainfall data for this study. They also acknowledge their sincere appreciation to the reviewers for their valuable suggestion and remarks in order to improve the manuscript. This research will not complete without the sponsorship from Ministry of Higher Education (600-RMI/TRGS DIS 5/3 (1/2015)).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Noridayu Mah Hashim .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2016 Springer Science+Business Media Singapore

About this paper

Cite this paper

Mah Hashim, N., Mohd Deni, S., Shariff, S.S.R., Tahir, W., Jani, J. (2016). Identification of Seasonal Rainfall Peaks at Kelantan Using Fourier Series. In: Tahir, W., Abu Bakar, P., Wahid, M., Mohd Nasir, S., Lee, W. (eds) ISFRAM 2015. Springer, Singapore. https://doi.org/10.1007/978-981-10-0500-8_14

Download citation

Publish with us

Policies and ethics