Abstract
A probabilistic model for the temporal description of daily rainfall at a fixed point is presented. The model is a member of the family of point process models. Model development is based on statistics estimated from rainfall data in Lebanon. Scale considerations for Markovian models and a theory of projection are used to determine the continuous process of alternation between dry and wet periods. The wet spells are defined by a number of storms each of which is associated with a storm depthY i and an interstorm time intervalT i. Computational results are presented for data from Lebanon. The model is successful in preserving the structure of the occurrence process, as well as the distributional properties of the rainfall amount.
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References
Caskey, J.E. 1963. A Markov chain model for the probability of precipitation occurrence in intervals of various length. Monthly Weather Review. 298–301
Catafago, S.; Najem, W. 1976: Contribution a L'etude de la pluviometrie Libanaise. These de Doctorat presentee a l' Universite des Sciences et Techniques du Languedoc, Montpellier, France
Chang, T.J.; Kavvas, M.L.; Delleur, J.W. 1984: Daily precipitation modeling by discrete autoregressive moving average processes. Water Resour. Res. 20, 565–580
Foufoula-Georgiou, E.; Lettenmair, D. 1987: A Markov renewal model for rainfall occurrences. Water Resour. Res. 23, 875–884
Gabriel, K.R.; Neumann, J. 1962: A Markov chain model for daily rainfall occurrences at Tel Aviv. Quart. J. Royal Meteorol. Soc. 88, 90–95
Haan, C.T.; Allen, D.M.; Street, J.O. 1981: A Markov chain model for daily rainfall. Water Resour. Res. 12, 443–449
Kavvas, M.L.; Delleur, J.W. 1981: A stochastic cluster model for daily rainfall sequences. Water Resour. Res. 17, 1151–1160
Le Cam, L. 1961: A stochastic description of precipitation. In: Neyman, J. (ed.) Fourth Berkeley Symposium on Mathematics Statistics, and Probability Proceedings. Berkeley: University of California Press
Neyman, J.E.; Scott, E.L. 1958: A statistical approach to problems of cosmology. J.R. Stat. Soc. B. 20, 1–43
Smith, J.A. 1987: Statistical modeling of daily rainfall occurrence. Water Resour. Res. 23, 885–893
Smith, J.A.; Karr, A. 1983: A point process model of summer season rainfall occurrences. Water Resour. Res. 19, 95–103
Todorovic, P.; Woolhiser, D. 1971: Stochastic model of daily rainfall. Paper presented at the U.S.D.A.-I.A.S.P.S. Symposium on Statistical Hydrology. Tucson, Ariz.
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Najem, W. A continous point process model for daily rainfall. Stochastic Hydrol Hydraul 2, 189–200 (1988). https://doi.org/10.1007/BF01550841
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DOI: https://doi.org/10.1007/BF01550841