Some considerations of periodicity and persistence in daily rainfalls

Journal of Hydrology

Volumn 296, Issue 1-4, 2004, Pages 23-37

  Kottegoda, N T ^a,b   Natale, L ^a   Raiteri, E ^a  

^a UNIVERSITY OF PAVIA   (Italy)

^b POLITECNICO DI MILANO   (Italy)

Author keywords

Daily rainfall; Markov chains; Periodicity; Periodogram; Persistence

Indexed keywords

CLIMATOLOGY; ENTROPY; HYDROLOGY; MARKOV PROCESSES; MATHEMATICAL MODELS;

PERIODICITY; VARIABILITY;

RAIN;

NUMERICAL MODEL; PERIODICITY; PRECIPITATION ASSESSMENT; RAINFALL; SEASONAL VARIATION;

ASIA; EURASIA; EUROPE; ITALY; SOUTH ASIA; SOUTHERN EUROPE; SRI LANKA;

EID: 3242704058     PISSN: 00221694     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jhydrol.2004.03.001     Document Type: Article

References (50)

1. Akaike H. A new look at the statistical model identification. IEEE Trans. Autum. Control. 19:1974;716-733
2. Anderson T.W. The Statistical Analysis of Time Series. 1971;Wiley, New York
3. Bartlett M.S. The frequency goodness of fit test for probability chains. Proc. Camb. Phil. Soc. 47:1951;86-95
4. Beveridge W.H. Wheat prices and rainfall in Western Europe. J. R. Stat. Soc. 85:1922;412-459
5. Billingsley P. Statistical methods in Markov chains. Annals Math. Statist. 32:1961;12-40
6. Blackman R.B., Tukey J.W. The Measurement of Power Spectrum. 1959;Dover, New York
7. Bloomfield P. Fourier Analysis of Time Series: An Introduction. second ed. :2000;Wiley, New York
8. Brillinger D.R. The asymptotic distribution of the Whittaker periodogram and a related chi-squared statistic for stationary processes. Biometrika. 61:1974;419-422
9. Brillinger D.R. Time Series Data Analysis and Theory. 1975;Holt, Rinehart and Winston, New York
10. Brooks C.E.P., Carruthers N. Handbook of Statistical Methods in Meteorology. 1953;Her Majesty's Stationary Office, London
11. Buishand T.A. The Spectral Analysis of Daily Rainfall Sequences. 1978;H. Veenman and Zonen B.V., Wageningen
12. Burg, J., 1975. Maximum Entropy Spectrum Analysis, PhD dissertation, Stanford University.
13. Buys-Ballot, C.D.H., 1847. Les Changements Périodiques de Température. Utrecht.
14. Chatfield C. The Analysis of Time Series, An Introduction. fourth ed. :1989;Chapman and Hall, London
15. Chin E.H. Modelling daily precipitation process with Markov Chain. Water Resour. Res. 13:1977;949-956
16. Cooley J.W., Lewis P.A.W., Welch P.D. The fast Fourier transform. IEEE Trans. Aud. Electr. AAU-15:1967;76-79
17. Dörrscheidt G.J., Beck L. Advanced methods for evaluating characteristic parameters (τ,α,ρ) of circadian rythems. J. Math. Biol. 2:1975;107-121
18. Fisher R.A. Tests of significance in harmonic analysis. Proc. R. Soc. Lond. A. 125:1929;54-59
19. Gabriel K.R., Neumann J. A Markov chain model for daily rainfall occurrence at Tel Aviv. Quart. J. R. Met. Soc. 88:1962;90-95
20. Gani J. Some theorems and sufficiency conditions for the maximum likelihood estimator of an unknown parameter in a sample Markov chain. Biometrika. 42:1955;342-359
21. Good L.J. The likelihood ratio test for Markov chains. Biometrika. 42:1955;531-533
22. Gregory J.M., Wigley T.M.L., Jones P.D. Determining and interpreting the order of a two-state Markov chain: application to models of daily precipitation. Water Resour. Res. 28:1992;1443-1446
23. Haan C.T., Allen D.M., Street J.O. A Markov chain model of daily rainfall. Water Resour. Res. 12:1976;443-449
24. Hoel P.G. A test for Markov chains. Biometrika. 41:1954;430-433
25. Katz R.W. On some criteria for estimating the order of a Markov chain. Technometrics. 23:1981;243-249
26. Kay S.M. Modern Spectral Estimation: Theory and Application. 1988;Prentice Hall, Englewood Cliffs, NY
27. Koopmans L.H. The Spectral Analysis of Time Series. second ed. :1995;Academic Press, San Diego
28. Kottegoda N.T. Stochastic Water Resources Technology. 1980;Macmillan, London
29. Kottegoda N.T., Rosso R. Statistics, Probability and Reliability for Civil and Environmental Engineers. 1997;McGraw-Hill, New York
30. Kottegoda N.T., Natale L., Raiteri E. Statistical modelling of daily streamflows using rainfall input and Curve Number technique. J. Hydrol. 234:2000;170-186
31. Kottegoda N.T., Natale L., Raiteri E. Daily streamflow simulation using recession characteristics. J. Hydrol. Eng. (ASCE). 5:2000;17-24
32. Kottegoda N.T., Natale L., Raiteri E. A parsimonious approach to stochastic multisite modelling and disaggregation of daily rainfall. J. Hydrol. 274:2003;44-61
33. Kotz S., Johnson N.L., Read C.B. Encyclopedia of Statistical Sciences. vol. 5:1985;Wiley, New York
34. Lacoss R.T. Data adaptive spectral analysis methods. Geophysics. 36:1971;661-675
35. Lowry W.P., Guthrie D. Markov chains of order greater than one. Mon. Weather Rev. 96:1968;798-801
36. Mardia K.V. Statistics of Directional Data. 1972;Academic Press, New York
37. Nelder J.A., Wedderburn R.W.M. Generalized linear models. J. R. Statist. Soc. A. 135:1972;370-384
38. Pardé M. Fleuves et riviéres. second ed. :1947;Librarie Armand Colin, Paris
39. Parzen E. Multiple time series modelling. Krishnaiah P.R. Multivariate Analysis II. 1969;Academic Press, New York
40. Priestley M.B. Spectral Analysis and Time Series. 1981;Academic Press, London
41. Roldàn J., Woolhiser D.A. Stochastic daily precipitation model 1. A comparison of occurrence processes. Water Resour. Res. 18:1982;1451-1459
42. Schuster A. On the periodicities of sunspots. Phil. Trans. R. Soc. A. 206:1906;69-100
43. Schwartz G. Estimating the dimension of a model. Ann. Stat. 6:1978;461-464
44. Stern R.D., Coe R. A model fitting analysis of daily rainfall data. J. R. Statist. Soc. A. 147 Part 1:1984;1-34
45. Tong H. Determination of the order of a Markov chain by Akaike's information criterion. J. Appl. Prob. 12:1975;488-497
46. Vercelli, F., 1928. Cimanalisi e applicazioni. Atti Soc. Ital. Prog. Sci. XVII, Riunione, Torino, September 1928, Pavia.
47. Whittaker E.J., Robinson G. The Calculus of Observations. fourth ed. :1944;Blackie, London
48. Williams C.R. Sequences of wet and dry days considered in relation to the logarithmic series. Quart. J. R. Met. Soc. 78:1952;91-96
49. Wilks S.S. The likelihood test of independence in contingency tables. Ann. Math. Statist. 6:1935;190-196
50. Woolhiser D.A., Pegram G.G.S. Maximum likelihood estimation of Fourier coefficients to describe seasonal variations of parameters in stochastic daily precipitation models. J. Appl. Meteor. 18:1979;34-42