A resampling method for generating synthetic hydrological time series with preservation of cross‐correlative structure and higher‐order properties

作者: C. J. Keylock

DOI: 10.1029/2012WR011923

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摘要: [1] Based on existing techniques in nonlinear physics that work the Fourier domain, we develop a multivariate, wavelet-based method for generation of synthetic discharge time series. This approach not only retains cross-correlative structure original data (which makes it preferable to principal component methods merely preserve correlations) but also replicates properties data. We argue temporal asymmetry typical hydrograph is most important form nonlinearity Using derivative skewness as measure and an example set 35 years daily from 107 gauging stations United States, compare two approaches records. generate then study fitting generalized extreme value distribution annual maxima total flux The series provides error bands fitted give different way assessing credible return periods. It found best studying extremes match each individually, rather than formulate global threshold criterion.

参考文章(50)
David L. Donoho, Iain M. Johnstone, Gérard Kerkyacharian, Dominique Picard, Wavelet Shrinkage: Asymptopia? Journal of the Royal Statistical Society: Series B (Methodological). ,vol. 57, pp. 301- 337 ,(1995) , 10.1111/J.2517-6161.1995.TB02032.X
J. R. M. Hosking, L‐Moments: Analysis and Estimation of Distributions Using Linear Combinations of Order Statistics Journal of the royal statistical society series b-methodological. ,vol. 52, pp. 105- 124 ,(1990) , 10.1111/J.2517-6161.1990.TB01775.X
Donald B. Percival, Andrew T. Walden, Wavelet Methods for Time Series Analysis ,(2006)
Martyn P. Clark, Subhrendu Gangopadhyay, David Brandon, Kevin Werner, Lauren Hay, Balaji Rajagopalan, David Yates, A resampling procedure for generating conditioned daily weather sequences Water Resources Research. ,vol. 40, ,(2004) , 10.1029/2003WR002747
Seth Westra, Casey Brown, Upmanu Lall, Ashish Sharma, Modeling multivariable hydrological series: principal component analysis or independent component analysis? Water Resources Research. ,vol. 43, ,(2007) , 10.1029/2006WR005617
G. G. S. Pegram, W. James, Multilag multivariate autoregressive model for the generation of operational hydrology Water Resources Research. ,vol. 8, pp. 1074- 1076 ,(1972) , 10.1029/WR008I004P01074
Ignacio Rodriguez-Iturbe, Beatriz Febres De Power, Mohammad B. Sharifi, Konstantine P. Georgakakos, Chaos in rainfall Water Resources Research. ,vol. 25, pp. 1667- 1675 ,(1989) , 10.1029/WR025I007P01667