A Rainfall Model Comparison by Using Stochastic Neyman-Scott Rectangular Pulse (NSRP) and Bartlett-Lewis Rectangular Pulse (BLRP)
Abstract
Lately, a climatic change has affected the uncertain occurrence of the rain process that implicates several difficulties in estimating flood disaster. The matter will certainly give the big problem to urban areas. Two stochastic-rain models which use the hourly rainfall data, Neyman-Scott Rectangular Pulse (NSRP) and Bartlett-Lewis Rectangular Pulse (BLRP), are a better way to identify the pattern of the rain events. Five rain characteristics represented by NSRP model’s parameter and six characteristics represented by BLRP model’s parameter will be used in identifying the rain pattern which is represented by the some rain statistics such as the probability and average of the hourly and daily rainfall. Two statistical rain models will predict the statistical value. This research using the data on 39-year rainfall per hour (1970-2008) from Alorsetar rain station has showed. It has been proved that some statistic models such as the statistical values which are generated by both models are very similar to those of observation statistics or statistics values which are generated from data.
References
2. Rodriguez-Iturbe, I., Cox, D.R. and Isham, V., 1987a, Some models for rainfall based on stochastic point processes, Proceedings of Royal Society of London Series A 410 (1839), 269-288.
3. Rodriguez-Iturbe, I., Febres De Power, B. and Valdes, J., 1987b, Rectangular pulses point process models for rainfall : analysis of empirical data, Journal Geophysical Research 92 (D8), 9645-9656.
4. Entekhabi, D., Rodriguez-Iturbe, I. and Eagleson, P.S., 1989, Probabilistic representation of the temporal rainfall process by a modified Neyman-Scott rectangular pulses model: parameter estimation and validation, Water Resources Research 25, 295-302.
5. Islam, S., Entekhabi, D., Bras, R.L. and Rodriguez-Iturbe, I., 1990, Parameter estimation and sensitivity analysis for the Bartlet – Lewis rectangular pulses mode of rainfall, J. Geophys. Res. 95(D3), 2093-2100. 6. Velghe, T., Troch, P.A., De Troch, F.P. and Van de Velde, J., 1994, Evaluation of cluster-based rectangular pulses point process model for rainfall, Water Resour. Res. 30 (10), 2847-2857.
7. Cowpertwait, P.S.P., O’Connell, P.E., Metcalfe, A.V. and Mawdsley, J.A., 1996a, Stochastic point process modeling of rainfall. I. Single site fitting and validation, Journa of Hydrology. 175, 17-46.
8. Cowpertwait, P.S.P., O’Connell, P.E., Metcalfe, A.V. and Mawdsley, J.A., 1996b, Stochastic point process modeling of rainfall. II. Regionalisation and dissagregation, Journal of Hydrology, 175, 47-65.












