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Volumn 411, Issue 3-4, 2011, Pages 279-289

Can a simple stochastic model generate rich patterns of rainfall events?

Author keywords

Long term persistence; Power type tails; Rainfall modelling

Indexed keywords

AUTOCORRELATION FUNCTIONS; DATA SETS; DIFFERENT TIME SCALE; LONG-TERM PERSISTENCE; POWER-TYPE TAILS; PREDICTIVE CAPACITY; RAINFALL EVENT; RAINFALL MODELLING; RAINFALL MODELS; RAINFALL PATTERNS; SCALING BEHAVIOR; SIMPLE STOCHASTIC; STOCHASTIC ANALYSIS; STORM EVENTS; TEMPORAL RESOLUTION; TIME-SCALES; UNCERTAIN PARAMETERS; UNIVERSITY OF IOWA;

EID: 81555219349     PISSN: 00221694     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jhydrol.2011.10.008     Document Type: Article
Times cited : (28)

References (46)
  • 1
    • 30244493399 scopus 로고    scopus 로고
    • Long memory processes and fractional integration in econometrics
    • Baillie R.T. Long memory processes and fractional integration in econometrics. Journal of Econometrics 1996, 73:5-59.
    • (1996) Journal of Econometrics , vol.73 , pp. 5-59
    • Baillie, R.T.1
  • 2
    • 34548160356 scopus 로고
    • More on unbiased estimation of the standard deviation
    • Bolch B.W. More on unbiased estimation of the standard deviation. American Statistician 1968, 22:27.
    • (1968) American Statistician , vol.22 , pp. 27
    • Bolch, B.W.1
  • 3
    • 81555200343 scopus 로고
    • An analysis of transformations. Journal of the Royal Statistical Society. Series B (Methodological)
    • Box, G.E., Cox, D.R., 1964. An analysis of transformations. Journal of the Royal Statistical Society. Series B (Methodological) 211-252.
    • (1964) , pp. 211-252
    • Box, G.E.1    Cox, D.R.2
  • 6
    • 0030391234 scopus 로고    scopus 로고
    • Assessing dependence among weights in a multiplicative cascade model of temporal rainfall
    • Cârsteanu A., Foufoula-Georgiou E. Assessing dependence among weights in a multiplicative cascade model of temporal rainfall. Journal of Geophysical Research 1996, 101:26363.
    • (1996) Journal of Geophysical Research , vol.101 , pp. 26363
    • Cârsteanu, A.1    Foufoula-Georgiou, E.2
  • 7
    • 65549085067 scopus 로고    scopus 로고
    • Power-law distributions in empirical data
    • Clauset A., Shalizi C.R., Newman M.E. Power-law distributions in empirical data. SIAM Review 2009, 51:661-703.
    • (2009) SIAM Review , vol.51 , pp. 661-703
    • Clauset, A.1    Shalizi, C.R.2    Newman, M.E.3
  • 12
    • 84986792205 scopus 로고
    • An introduction to long-memory time series and fractional differencing
    • Granger C.W.J., Joyeux R. An introduction to long-memory time series and fractional differencing. Journal of Time Series Analysis 1980, 1:15-29.
    • (1980) Journal of Time Series Analysis , vol.1 , pp. 15-29
    • Granger, C.W.J.1    Joyeux, R.2
  • 13
    • 77956890381 scopus 로고
    • Fractional differencing
    • Hosking J.R. Fractional differencing. Biometrika 1981, 68:165-176.
    • (1981) Biometrika , vol.68 , pp. 165-176
    • Hosking, J.R.1
  • 15
    • 11944275853 scopus 로고
    • Information theory and statistical mechanics. II.
    • Jaynes E.T. Information theory and statistical mechanics. II. Physical Review 1957, 108:171-190.
    • (1957) Physical Review , vol.108 , pp. 171-190
    • Jaynes, E.T.1
  • 17
    • 0001187166 scopus 로고
    • Wienersche Spiralen und Einige Andere Interessante Kurven in Hilbertschen Raum
    • Kolmogorov A.N. Wienersche Spiralen und Einige Andere Interessante Kurven in Hilbertschen Raum. Doklady Akademii nauk URSS 1940, 26:115-118.
    • (1940) Doklady Akademii nauk URSS , vol.26 , pp. 115-118
    • Kolmogorov, A.N.1
  • 18
    • 0036677908 scopus 로고    scopus 로고
    • The Hurst phenomenon and fractional Gaussian noise made easy
    • Koutsoyiannis D. The Hurst phenomenon and fractional Gaussian noise made easy. Hydrological Sciences Journal 2002, 47:573-596.
    • (2002) Hydrological Sciences Journal , vol.47 , pp. 573-596
    • Koutsoyiannis, D.1
  • 19
    • 0037324173 scopus 로고    scopus 로고
    • Climate change, the Hurst phenomenon, and hydrological statistics
    • Koutsoyiannis D. Climate change, the Hurst phenomenon, and hydrological statistics. Hydrological Sciences Journal 2003, 48:3-24.
    • (2003) Hydrological Sciences Journal , vol.48 , pp. 3-24
    • Koutsoyiannis, D.1
  • 20
    • 3342973898 scopus 로고    scopus 로고
    • Statistics of extremes and estimation of extreme rainfall, 1, Theoretical investigation
    • Koutsoyiannis D. Statistics of extremes and estimation of extreme rainfall, 1, Theoretical investigation. Hydrological Sciences Journal 2004, 49:575-590.
    • (2004) Hydrological Sciences Journal , vol.49 , pp. 575-590
    • Koutsoyiannis, D.1
  • 21
    • 3342942693 scopus 로고    scopus 로고
    • Statistics of extremes and estimation of extreme rainfall, 2, Empirical investigation of long rainfall records
    • Koutsoyiannis D. Statistics of extremes and estimation of extreme rainfall, 2, Empirical investigation of long rainfall records. Hydrological Sciences Journal 2004, 49:591-610.
    • (2004) Hydrological Sciences Journal , vol.49 , pp. 591-610
    • Koutsoyiannis, D.1
  • 22
    • 20844452381 scopus 로고    scopus 로고
    • Uncertainty, entropy, scaling and hydrological stochastics. 1. Marginal distributional properties of hydrological processes and state scaling.
    • Koutsoyiannis D. Uncertainty, entropy, scaling and hydrological stochastics. 1. Marginal distributional properties of hydrological processes and state scaling. Hydrological Sciences Journal 2005, 50:381-404.
    • (2005) Hydrological Sciences Journal , vol.50 , pp. 381-404
    • Koutsoyiannis, D.1
  • 23
    • 20844442113 scopus 로고    scopus 로고
    • Uncertainty, entropy, scaling and hydrological stochastics. 2. Time dependence of hydrological processes and time scaling.
    • Koutsoyiannis D. Uncertainty, entropy, scaling and hydrological stochastics. 2. Time dependence of hydrological processes and time scaling. Hydrological Sciences Journal 2005, 50:1-426.
    • (2005) Hydrological Sciences Journal , vol.50 , pp. 1-426
    • Koutsoyiannis, D.1
  • 24
    • 33845297981 scopus 로고    scopus 로고
    • On the quest for chaotic attractors in hydrological processes
    • Koutsoyiannis D. On the quest for chaotic attractors in hydrological processes. Hydrological Sciences Journal 2006, 51:1065-1091.
    • (2006) Hydrological Sciences Journal , vol.51 , pp. 1065-1091
    • Koutsoyiannis, D.1
  • 25
    • 33644804689 scopus 로고    scopus 로고
    • An entropic-stochastic representation of rainfall intermittency: the origin of clustering and persistence. Water Resources Research 42
    • Koutsoyiannis, D., 2006b. An entropic-stochastic representation of rainfall intermittency: the origin of clustering and persistence. Water Resources Research 42.
    • (2006)
    • Koutsoyiannis, D.1
  • 27
    • 0034083348 scopus 로고    scopus 로고
    • A generalized mathematical framework for stochastic simulation and forecast of hydrologic time series
    • Koutsoyiannis D. A generalized mathematical framework for stochastic simulation and forecast of hydrologic time series. Water Resource Research 2000, 36:1519-1533.
    • (2000) Water Resource Research , vol.36 , pp. 1519-1533
    • Koutsoyiannis, D.1
  • 28
    • 34347230881 scopus 로고    scopus 로고
    • Statistical analysis of hydroclimatic time series: Uncertainty and insights, Water Resources Research W05429, doi:10.1029/2006WR005592
    • Koutsoyiannis, D., Montanari, A., Statistical analysis of hydroclimatic time series: Uncertainty and insights, Water Resources Research, 43 (5), W05429, doi:10.1029/2006WR005592, 2007.
    • (2007) , vol.43 , Issue.5
    • Koutsoyiannis, D.1    Montanari, A.2
  • 29
    • 40349116048 scopus 로고    scopus 로고
    • Medium-range flow prediction for the Nile: a comparison of stochastic and deterministic methods
    • Koutsoyiannis D., Yao H., Georgakakos A. Medium-range flow prediction for the Nile: a comparison of stochastic and deterministic methods. Hydrological Sciences Journal 2008, 53(1):142-164.
    • (2008) Hydrological Sciences Journal , vol.53 , Issue.1 , pp. 142-164
    • Koutsoyiannis, D.1    Yao, H.2    Georgakakos, A.3
  • 30
    • 69949187253 scopus 로고    scopus 로고
    • Climate, hydrology and freshwater: towards an interactive incorporation of hydrological experience into climate research-discussion of " The implications of projected climate change for freshwater resources and their management"
    • Koutsoyiannis D., Montanari A., Lins H.F., Cohn T.A. Climate, hydrology and freshwater: towards an interactive incorporation of hydrological experience into climate research-discussion of " The implications of projected climate change for freshwater resources and their management" Hydrological Sciences Journal 2009, 54(2):394-405.
    • (2009) Hydrological Sciences Journal , vol.54 , Issue.2 , pp. 394-405
    • Koutsoyiannis, D.1    Montanari, A.2    Lins, H.F.3    Cohn, T.A.4
  • 31
  • 33
    • 0000501589 scopus 로고
    • Fractional Brownian motions, fractional noises and applications
    • Mandelbrot B.B., Van Ness J.W. Fractional Brownian motions, fractional noises and applications. SIAM Review 1968, 10:422-437.
    • (1968) SIAM Review , vol.10 , pp. 422-437
    • Mandelbrot, B.B.1    Van Ness, J.W.2
  • 34
    • 54749142376 scopus 로고
    • A fast fractional Gaussian noise generator
    • Mandelbrot B.B. A fast fractional Gaussian noise generator. Water Resource Research 1971, 7:543-553.
    • (1971) Water Resource Research , vol.7 , pp. 543-553
    • Mandelbrot, B.B.1
  • 35
    • 84944495957 scopus 로고
    • Computer experiments with fractional Gaussian noises: part 1, averages and variances
    • Mandelbrot B.B., Wallis J.R. Computer experiments with fractional Gaussian noises: part 1, averages and variances. Water Resource Research 1969, 5:228.
    • (1969) Water Resource Research , vol.5 , pp. 228
    • Mandelbrot, B.B.1    Wallis, J.R.2
  • 36
    • 0030616632 scopus 로고    scopus 로고
    • Fractionally differenced ARIMA models applied to hydrologic time series: identification, estimation, and simulation
    • Montanari A., Rosso R., Taggu M. Fractionally differenced ARIMA models applied to hydrologic time series: identification, estimation, and simulation. Water Resources Research 1997, 33:1035-1044.
    • (1997) Water Resources Research , vol.33 , pp. 1035-1044
    • Montanari, A.1    Rosso, R.2    Taggu, M.3
  • 37
    • 33847669689 scopus 로고    scopus 로고
    • Long memory of rivers from spatial aggregation
    • Mudelsee M. Long memory of rivers from spatial aggregation. Water Resources Research 2007, 43:W01202.
    • (2007) Water Resources Research , vol.43
    • Mudelsee, M.1
  • 38
    • 0342570586 scopus 로고
    • A simple stochastic modelling of Hurst's law. In: Proc. International Symposium on Mathematical Models in Hydrology, Warsaw (1971), IAHS Publ. No. 100
    • O'Connell, P.E., 1974. A simple stochastic modelling of Hurst's law. In: Proc. International Symposium on Mathematical Models in Hydrology, Warsaw (1971), IAHS Publ. No. 100, 169-187.
    • (1974) , pp. 169-187
    • O'Connell, P.E.1
  • 39
    • 81555202220 scopus 로고    scopus 로고
    • Stochastic modelling of skewed data exhibiting long-range dependence. In: XXIV General Assembly of the International Union of Geodesy and Geophysics
    • Papalexiou, S., 2007. Stochastic modelling of skewed data exhibiting long-range dependence. In: XXIV General Assembly of the International Union of Geodesy and Geophysics.
    • (2007)
    • Papalexiou, S.1
  • 40
    • 33846371109 scopus 로고    scopus 로고
    • Modeling geophysical complexity: a case for geometric determinism
    • Puente C.E., Sivakumar B. Modeling geophysical complexity: a case for geometric determinism. Hydrology and Earth System Sciences 2007, 11:721-724.
    • (2007) Hydrology and Earth System Sciences , vol.11 , pp. 721-724
    • Puente, C.E.1    Sivakumar, B.2
  • 43
    • 0034737012 scopus 로고    scopus 로고
    • Chaos theory in hydrology: important issues and interpretations
    • Sivakumar B. Chaos theory in hydrology: important issues and interpretations. Journal of Hydrology 2000, 227:1-20.
    • (2000) Journal of Hydrology , vol.227 , pp. 1-20
    • Sivakumar, B.1
  • 46
    • 78651515164 scopus 로고    scopus 로고
    • Simultaneous estimation of the parameters of the Hurst-Kolmogorov stochastic process
    • Tyralis H., Koutsoyiannis D. Simultaneous estimation of the parameters of the Hurst-Kolmogorov stochastic process. Stochastic Environmental Research & Risk Assessment 2011, 25(1):21-33.
    • (2011) Stochastic Environmental Research & Risk Assessment , vol.25 , Issue.1 , pp. 21-33
    • Tyralis, H.1    Koutsoyiannis, D.2


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