TECHNICAL PAPERS
Oct 29, 2010

Prediction of Rainfall for Short Term Irrigation Planning and Scheduling—Case Study in Victoria, Australia

Publication: Journal of Irrigation and Drainage Engineering
Volume 137, Issue 7

Abstract

In the short-term planning (7–14 days) and operation of complex irrigation systems, an estimate of irrigation water demand (IWD) is of a fundamental concern. To predict the IWD, a reliable estimate of the expected rainfall during any irrigation period is of fundamental importance. Rainfall is generally predicted with a certain probability of exceedance. However, the standard flood flow-frequency distributions cannot be used for prediction of rainfall of such short durations because these rainfall series in general consist of zero values. Two methods, the total probability theorem (TPT) with three normalizing transformations (i.e., power, log, and square root), and the leaky law (LL) were used to predict the rainfall of short durations (7–14 days, depending upon the number of irrigations per season) in the Goulburn irrigation area (GIA) of Victoria, Australia. Investigations indicated that the TPT using the power transformation (TPTP) was more effective in modeling the short-term data series than the log (TPTL) and square-root transformations (TPTS). Although the overall fitting of the short-term rainfall data series by the LL method was significantly (99%) better than the TPT method, some series could not be fitted by the LL method. This revealed that the LL method could not model all short-term rainfall data series. Results showed that although both the TPT and LL were quite satisfactory in predicting short-term seasonal rainfall of short durations in the study area, none of them was individually able to model all the short-term rainfall series. Hence, the joint use of TPT and LL methods was recommended for short-term rainfall prediction of the study area.

Get full access to this article

View all available purchase options and get full access to this article.

Acknowledgments

The authors wish to thank Dr. Neil Diamond, former academic of Victoria University, for his helpful comments and suggestions during this study.

References

Adamowski, K. (1985). “Nonparametric kernel estimation of flood frequencies.” Water Resour. Res., 21(11), 1585–1590.
Adamowski, K. (1996). “Nonparametric estimation of low-flow frequencies.” J. Hydraul. Eng., 122(1), 46–49.
Aldabagh, A. S., Rasheed, N., and Ramamoorthy, M. V. (1982). “Dry days analysis for planning supplemental irrigation schemes.” Trans. ASAE, 25(1), 150–159.
Azhar, A. H. (2001). “Short term planning and operation of irrigations systems.” Ph.D. dissertation, School of the Built Environment, Victoria Univ., Melbourne, Australia.
Azhar, A. H., Murty, V. N., and Phien, H. N. (1992). “Modeling irrigation schedules for lowland rice with stochastic rainfall.” J. Irrig. Drain Eng., 118(1), 36–55.
Azhar, A. H., and Perera, B. J. C. (2011). “Evaluation of reference evapotranspiration estimation methods under southeast Australian conditions.” J. Irrig. Drain Eng., 137(5), 268–279.
Barnett, V., and Lewis, T. (1980). Outliers in statistical data, Wiley, New York.
Benson, M. A. (1968). “Uniform flood-frequency estimating methods for federal agencies.” Water Resour. Res., (5), 891–898.
Bowman, K. O. (1973). “Power of the kurtosis, B2 in tests of departures from normality.” Biometrika, 60(3), 623–628.
Box, G. E. P., and Cox, D. R. (1964). “An analysis of transformation.” J. R. Stat. Soc., B26, 211–252.
Buishand, T. D. (1977). Stochastic modeling of daily rainfall sequences, H. Veenman and B. V. Zonen, Wageningen, Netherlands, 54–56.
Burman, R. D., Pochop, M. A., and Yonts, C. D. (1982). “Statistical and numerical representation of irrigation water requirements.” Trans. ASABE, 25(1), 165–168.
Eratakulan, S. J. (1970). “Probability distribution of annual droughts.” J. Irrig. Drain Eng., 96(4), 461–474.
Haan, C. T. (1977). Statistical methods in hydrology, Iowa State University Press, Ames, IA.
Hasan, M., Tsegaye, T., Shi, X., Schaefer, G., and Taylor, G. (2008). “Model for predicting rainfall by fuzzy set theory using USDA scan data.” Agric. Water Manage., 95(12), 1350–1360.
Hedditch, M. (1985). “Water watch: An irrigation scheduling service for summer and winter crops in the M.I.A and C.I.A.” Irrigation Research and Extension Committee Farmers’ Newsletter, CSIRO Land and Water, Griffith NSW, Australia, 127, 4–7.
Heslop, W. A. (1991). “Irrigation scheduling using the evaporation graph.” Internal Rep., Loddon-Torrumbarry Region, Kerang; Rural Water Commission (RWC) of Victoria, Victoria, Australia.
Krzysztofowicz, R. (2001). “The case for probabilistic forecasting in hydrology.” J. Hydrol. (Amsterdam), 249(1–4), 2–9.
Law, A. M., and Kelton, W. D. (1991). Simulation modeling and analysis—Selected input probability distributions, 2nd Ed., McGraw-Hill, New York.
Matalas, N. C. (1963). “Probability distribution of low flows. Statistical studies in hydrology.” Prof. Pap. 434-A, U.S. Geological Survey, Reston, VA, 27.
Nadeem, A., and Haq, A. U. (2008). “Punjab irrigation sector reforms programme—Strategic interventions and reforms management.” Proc., 20th Int. Congress on Irrigation and Drain, ICID, Lahore, Pakistan.
Nathan, R. J. (1990). “Low flow hydrology: Application of a systems approach.” Ph.D. thesis, Dept. of Civil and Agricultural Engineering, Univ. of Melbourne, 383.
Paul, R. P., Bennett, N., and Chiew, F. (2009). “Flood variability east of Australia’s great dividing range.” J. Hydrol. (Amsterdam), 374(3–4), 196–208.
Phien, H. N., Arbhabhirama, A., and Eggers, H. (1978). “Water for the northeast: Drought analysis, Part 1: Rainfall analysis.” Rep. Prepared for Water Resource Planning Subcommittee of Thailand, AIT, Bangkok, Thailand.
Phien, H. N., Arbhabhirama, A., and Sunchindach, A. (1980). “Rainfall distribution in northeastern Thailand.” Hydrol. Sci. Bull., 25(2), 167–172.
Phien, H. N., Sunchindah, A., and Patnaik, D. (1982). “Normality of hydrological data.” J. Am. Water Resour. Assoc., 18(1), 37–42.
Pilgrim, D. H., and Doran, D. G. (1987). Australian rainfall and runoff: A guide to flood estimation, Pilgrim Edition, EA Books, Crows Nest, NSW, Australia.
Ren, X., Jia, Z., and Chen, X. (2008). “Rainfall concentration for increasing corn production under semiarid climate.” Agric. Water Manage., 95(12), 1293–1302.
Rural Water Commission (RWC) (1988). Irrigation and drainage practice, Armadale, Victoria, Australia.
Siddeek, F. Z., Dillaha, T. A., and Loganathan, G. V. (1988). “Water management for low land rice irrigation.” J. Irrig. Drain Eng., 114(3), 407–423.
Strupczewski, W. G., Weglarczyk, S., and Singh, V. P. (2003). “Impulse response of the kinematic diffusion model as a probability distribution of hydrologic samples with zero values.” J. Hydrol. (Amsterdam), 270(3–4), 328–351.
Thomas, W. O. (1985). “A uniform technique for flood frequency analysis.” J. Water Resour. Plann. Manage., 111(3), 321–337.
Walsh, J. E. (1959). “Large sample non-parametric rejection of outlying observations.” Ann. Inst. Stat. Math., 10(3), 223–232.
Wang, Y., Xie, Z., Malhi, S. S., Vera, C. L., and Wang, J. (2009). “Effects of rainfall harvesting and mulching technologies on water use efficiency and crop yield in the semi-arid Loess Plateau, China.” Agric. Water Manage., 96(3), 374–382.
Wriedt, G., Velde, M. V. D., Aloe, A., and Bouraoui, F. (2009). “Estimating irrigation water requirements in Europe.” J. Hydrol. (Amsterdam), 373(3–4), 527–544.
Yevjevich, V. (1972). Probability and statistics in hydrology, Water Resources Publication, Fort Collins, CO, 118–181.

Information & Authors

Information

Published In

Go to Journal of Irrigation and Drainage Engineering
Journal of Irrigation and Drainage Engineering
Volume 137Issue 7July 2011
Pages: 435 - 445

History

Received: Nov 24, 2009
Accepted: Oct 26, 2010
Published online: Oct 29, 2010
Published in print: Jul 1, 2011

Permissions

Request permissions for this article.

Authors

Affiliations

Aftab H. Azhar [email protected]
Assistant Professor, Centre of Excellence in Water Resources Engineering (CEWRE), Univ. of Engineering and Technology, Lahore, Pakistan (corresponding author). E-mail: [email protected]
B. J. C. Perera [email protected]
Professor/Associate Dean, Faculty of Health, Engineering and Science, Victoria Univ., PO Box 14428 Melbourne, Victoria, 8001 Australia. E-mail: [email protected]

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share