Descriptive and predictive evaluation of high resolution Markov chain precipitation models

Environmetrics

Volumn 23, Issue 7, 2012, Pages 623-635

  Sorup H J D ^a   Madsen, H ^a   Arnbjerg Nielsen, K ^a  

^a TECHNICAL UNIVERSITY OF DENMARK   (Denmark)

Author keywords

Box Cox transformation; Monte Carlo simulation; Seasonal variation; Tipping bucket rain gauges; Waiting times

Indexed keywords

CLIMATE MODELING; DIURNAL VARIATION; EXTREME EVENT; MARKOV CHAIN; NUMERICAL MODEL; PERFORMANCE ASSESSMENT; PRECIPITATION (CLIMATOLOGY); PREDICTION; RAINGAUGE; RESOLUTION; SEASONAL VARIATION; SEASONALITY; TIME SERIES; TIME SERIES ANALYSIS; URBAN AREA;

EID: 84867987136     PISSN: 11804009     EISSN: 1099095X     Source Type: Journal    
DOI: 10.1002/env.2173     Document Type: Article

References (29)

1. Ailliot P, Thomson C, Thomson P. 2009. Space-time modelling of precipitation by using a hidden Markov model and censored Gaussian distributions. Journal of the Royal Statistical Society 58(3): 405-426.
2. Arnbjerg-Nielsen K, Madsen H, Harremoës P. 1998. Formulating and testing a rain series generator based on tipping bucket gauges. Water Science and Technology 37(11): 47-55.
3. Betrò B, Bodini A, Cossu QA. 2008. Using a hidden Markov model to analyse extreme rainfall events in Central-East Sardinia. Environmetrics 19(7): 702-713.
4. Box GEP, Cox D. 1964. An analysis of transformations. Journal of the Royal Statistical Society 26(2): 211-252.
5. Burton A, Fowler HJ, Blenkinsop S, Kilsby CG. 2010. Downscaling transient climate change using a Neyman-Scott Rectangular Pulses stochastic rainfall model. Journal of Hydrology 381(1-2): 18-32.
6. Chow VT, Maidment DR, Mays LW. 1988. Applied Hydrology. McGraw-Hill: New York.
7. Cox D, Miller H. 1965. The Theory of Stochastic Processes. 1st ed. Chapman & Hall: London.
8. Fankhauser R. 1998. Influence of systematic errors from tipping bucket rain gauges on recorded rainfall data. Water Science and Technology 37(11): 121-129.
9. Gaume E, Mouhous N, Andrieu H. 2007. Rainfall stochastic disaggregation models: calibration and validation of a multiplicative cascade model. Advances in Water Resources 30(5): 1301-1319.
10. Gelati E, Rosbjerg D, Christensen OB, Rasmussen PF. 2010. Downscaling atmospheric patterns to multi-site precipitations amounts in southern Scandinavia. Hydrology Research 41(3-4): 193-210.
11. Ignaccolo M, de Michele C. 2011. The discrete charm of rain. Physics Today 64(1): 68-69.
12. Jørgensen HK, Rosenørn S, Madsen H, Mikkelsen PS. 1998. Quality control of rain data used for urban runoff systems. Water Science and Technology 37(11): 113-120.
13. Katz RW. 1999. Moments of power transformed time series. Environmetrics 10(3): 301-307.
14. Koutsoyiannis D. 2004a. Statistics of extremes and estimation of extreme rainfall: I. Theoretical investigation. Hydrological Science Journal 49(4): 575-590.
15. Koutsoyiannis D. 2004b. Statistics of extremes and estimation of extreme rainfall: II. Empirical investigation of long rainfall records. Hydrological Science Journal 49(4): 591-610.
16. Madsen H, Thyregod P. 2011. An Introduction to General and Generalized Linear Models. 1st ed. Taylor & Francis Ltd.: Boca Raton, FL.
17. Madsen H, Mikkelsen PS, Rosbjerg D, Harremoës P. 2002. Regional estimation of rainfall intensity-duration-frequency curves using generalized least squares regression of partial duration series statistics. Water Resource Research 38(11): Art. no 21.
18. Madsen H, Arnbjerg-Nielsen K, Mikkelsen PS. 2009. Update of regional intensity-duration-frequency curves in Denmark: tendency towards increased storm intensities. Atmospheric Research 92(3): 343-349.
19. Marani M. 2003. On the correlation structure of continuous and discrete point rainfall. Water Resources Research 39(5) Art. No. 1128.
20. Mehrotra R, Sharma A. 2010. Development and application of a multisite rainfall stochastic downscaled framework for climate change impact assessment. Water Resource Research 46(7): W07526.
21. Mikkelsen PS, Madsen H, Arnbjerg-Nielsen K, Jørgensen HK, Rosbjerg D, Harremoës P. 1998. A rationale for using local and regional point rainfall data for design and analysis of urban storm drainage systems. Water Science and Technology 37(11): 7-14.
22. Negra NB, Holmstrøm O, Bak-Jensen B, Sørensen P. 2008. Model of a synthetic wind speed time series generator. Wind Energy 11(2): 193-209.
23. Olsson J, Burlando P. 2002. Reproduction of temporal scaling by a rectangular pulses rainfall model. Hydrological Processes 16(3): 611-630.
24. Onof C, Arnbjerg-Nielsen K. 2009. Quantification of anticipated future changes in high resolution design rainfall for urban areas. Atmospheric Research 92(3): 350-363.
25. Srikantan R, McMahon TA. 1983. Sequential generation of short time-interval rainfall data. Nordic Hydrology 14(5): 277-306.
26. Thyregod P, Arnbjerg-Nielsen K, Madsen H, Carstensen J. 1998. Modelling the embedded rainfall process using tipping bucket data. Water Science and Technology 37(11): 57-64.
27. Thyregod P, Madsen H, Carstensen J, Arnbjerg-Nielsen K. 1999. Integer valued autoregressive models for tipping bucket rainfall measurements. Environmetrics 10(4): 395-411.
28. Wilby RL, Tomlinson OJ, Dawson CW. 2003. Multi-site simulation of precipitation by conditional resampling. Climate Research 23(3): 183-194.
29. Yang Y. 2005. Can the strengths of AIC and BIC be shared? A conflict between model identification and regression estimation. Biometrika 92(4): 937-950.