Abstract
The development of stochastic models of precipitation has been driven primarily by practical problems of hydrologic data simulation, particularly for water resource systems design and management in data-scarce situations, and by scientific interest in the probabilistic structure of the arrival process of precipitation events. The need for better methods of developing local climate scenarios associated with alternative climate simulations produced by global atmospheric general circulation models (GCMs) has provided another application for stochastic models of precipitation, but necessitates different model structures.
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References
Bârdossy, A., and H. J. Caspary (1990) “Detection of climate change in Europe by analyzing European circulation patterns from 1881 to 1989”, Theor. Appl. Climatol., 42 (3), 155–167.
Bârdossy, A., and E. J. Plate (1991) “Modeling daily rainfall using a semi-Markov representation of circulation pattern occurrence”, J. Hydrol., 122 (1–4), 33–47.
Bârdossy, A., and E. J. Plate (1992) “Space-time model for daily rainfall using atmospheric circulation patterns”, Water Resour. Res., 28 (5), 1247–1259.
Baur, F., P. Hess, and H. Nagel (1944) “Kalender der Grosswetterlagen Europas 1881–1939”, Bad Homburg, 35.
Bogardi, I., I. Matyasovszky, A. Bardossy, and L. Duckstein (June 1993a) “Estimation of local climatic factors under climate change, Part 1: Methodology”, in Proceedings, NATO Advanced Study Institute on Engineering Risk and Reliability in a Changing Physical Environment, Deauville, France.
Bogardi, I., I. Matyasovszky, A. Bardossy, and L. Duckstein (June 1993b) “Estimation of local climatic factors under climate change, Part 2: Application”, in Proceedings, NATO Advanced Study Institute on Engineering Risk and Reliability in a Changing Physical Environment, Deauville, France.
Breiman, L., J.H. Friedman, R.A. Olsen, and J.C. Stone (1984) Classification and regression trees, Wadsworth, Monterey.
Cox, D.R., and P.A.W. Lewis (1978) The Statistical Analysis of Series of Events, Metheun, London.
Foufoula-Georgiou, E. (1985) “Discrete-time point process models for daily rainfall”, Water Resources Technical Report No. 93, Univ. of Washington, Seattle.
Foufoula-Georgiou, E., and D. P. Lettenmaier (1987) “A Markov renewal model for rainfall occurrences”,Water Resour. Res., 23(5), 875–884.
Gabriel, K. R., and J. Neumann (1957) “On a distribution of weather cycles by lengths”, Q. J. R. Meteorol. Soc., 83, 375–380.
Gabriel, K. R., and J. Neumann (1962) “A Markov chain model for daily rainfall occurrences at Tel Aviv”, Q. J. R. Meteorol. Soc., 88, 90–95.
Georgakakos, K. P., and M. L. Kavvas (1987) “Precipitation analysis, modeling, and prediction in hydrology”, Rev. Geophys., 25 (2), 163–178.
Giorgi, F., and L.O. Mearns (1991) “Approaches to the simulation of regional climate change: A review”, Rev. Geophys., 29 (2), 191–216.
Grotch, S.L. (April 1988) “Regional intercomparisons of general circulation model predictions and historical climate data”, U.S. Department of Energy Report DOE/NBB-0084, Atmospheric and Geophysical Sciences Group, Lawrence Livermore National Laboratory, Livermore, CA.
Haan, T.N., D.M. Allen, and J.O. Street (1976) “A Markov chain model of daily rainfall”, Water Resour. Res., 12 (3), 443–449.
Hay, L. E., G. J. McCabe, Jr., D. M. Wolock, and M. A. Ayers (1991) “Simulation of precipitation by weather type analysis”, Water Resour. Res., 27 (4), 493–501.
Hughes, J.P., D.P. Lettenmaier, and P. Guttorp (1993) “A stochastic approach for assessing the effects of changes in regional circulation patterns on local precipitation”, in press, Water Res. Res.
Hughes, J.P. (1993) “A class of stochastic models for relating synoptic atmospheric patterns to local hydrologic phenomena”, Ph.D. Dissertation, Department of Statistics, University of Washington.
Kalkstein, L.S., G. Tan, and J.A. Skindlov (1987) “An evaluation of three clustering procedures for use in synoptic climatological classification”, Journal of Climate and Applied Meteorology 26 (6), 717–730.
Kavvas, M. L., and J. W. Delleur (1981) “A stochastic cluster model of daily rainfall sequences”, Water Resour. Res., 17 (4), 1151–1160.
Khanal, N.N., and R.L. Hamrick (1974) “A stochastic model for daily rainfall data synthesis”, Proceedings, Symposium on Statistical Hydrology, Tucson, AZ, U.S. Dept. of Agric. Publication No. 1275, 197–210.
Lamb, H.H. (1972) “British Isles weather types and a register of daily sequence of circulation patterns, 1861–1971”, Geophysics Memorandum No. 110, Meteorology Office, London.
LeCam, L. (1961) “A stochastic description of precipitation”, paper presented at the 4th Berkeley Symposium on Mathematics, Statistics, and Probability, University of California, Berkeley, CA.
McCabe, G. J., Jr. (1990) “A conceptual weather-type classification procedure for the Philadelphia, Pennsylvania, area”, Water-Resources Investigations Report 894183, U.S. Geological Survey, West Trenton, NJ.
Pittock, A.B. and M.J. Salinger (1991) “Southern hemisphere climate scenarios”, Climate Change, 18, 205–222.
Rodriguez-Iturbe, I. B. Febres de Power, and J. B. Valdes (1987) “Rectangular pulses point process models for rainfall: Analysis of empirical data”, J. Geophys. Res., 92 (D8), 9645–9656.
Smith, J. A., and A. F. Karr (1985) “Statistical inference for point process models of rainfall”, Water Resour. Res., 21 (1), 73–80.
Stern, R.D., and R. Coe (1984) “A model fitting analysis of daily rainfall data”, J. R. Statist. Soc. A, 147, 1–34.
von Storch, H., E. Zorita, and U. Cubasch (1993) “Downscaling of climate change estimates to regional scales: Application to winter rainfall in the Iberian Peninsula”, in press, Journal of Climate.
Weiss, L.L. (1964) “Sequences of wet and dry days described by a Markov chain model”, Monthly Weather Review, 92, 169–176.
Wigley, T.M.L., P.D. Jones, K.R. Briffa, and G. Smith (1990) “Obtaining subgrid-scale information from coarse-resolution general circulation model output”, J. Geophys. Res., 95, 1943–1953.
Wilson, L. L., D. P. Lettenmaier, and E. F. Wood (1991) “Simulation of daily precipitation in the Pacific Northwest using a weather classification scheme”, in Land Surface-Atmosphere Interactions for Climate Modeling: Observations, Models, and Analysis, E. F. Wood, ed., Surv. Geophys., 12(1–3), 127–142, Kluwer, Dordrecht, The Netherlands.
Wilson, L.L., D.P. Lettenmaier, and E. Skyllingstad (1992) “A hierarchical stochastic model of large-scale atmospheric circulation patterns and multiple station daily precipitation”, J. Geophys. Res., 97 (D3), 2791–2809.
Wiser, E. H. (1965) “Modified Markov probability models of sequences of precipitation events”, Mon. Weath. Rev., 93 (8), 511–516.
Woolhiser, D.A., and G.G.S. Pegram (1979) “Maximum likelihood estimation of Fourier coefficients to describe seasonal variations of parameters in stochastic daily precipitation models”, J. Appl. Meteorol., 8 (1), 34–42.
Zorita, E., J.P. Hughes, D.P. Lettenmaier, and H. von Storch (1993) “Stochastic characterization of regional circulation patterns for climate model diagnosis and estimation of local precipitation”, in review, J. Climate.
Zucchini, W., and P. Guttorp (1991) “A hidden Markov model for space-time precipitation”, Water Resour. Res., 27 (8), 1917–1923.
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© 1994 Springer Science+Business Media Dordrecht
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Lettenmaier, D.P. (1994). Applications of Stochastic Modeling in Climate Change Impact Assessment. In: Hipel, K.W., McLeod, A.I., Panu, U.S., Singh, V.P. (eds) Stochastic and Statistical Methods in Hydrology and Environmental Engineering. Water Science and Technology Library, vol 10/3. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-3083-9_1
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DOI: https://doi.org/10.1007/978-94-017-3083-9_1
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