Institutional Repository
Technical University of Crete
Technical University of Crete
EN
|
EL
| URI: | http://purl.tuc.gr/dl/dias/857114D5-BE48-4FF5-AE02-64898F5CC3E8 | ||
| Year | 2011 | ||
| Type of Item | Peer-Reviewed Journal Publication | ||
| License |
|
||
| Bibliographic Citation | D. T. Hristopulos,M. Zukovic ," Relationships between correlation lengths and integral scales for covariance models with more than two parameters ", Stoch. Env. Res. and Risk As.,vol. 25, no. 1 , pp. 11-19, 2011.doi:10.1007/s00477-010-0407-y https://doi.org/10.1007/s00477-010-0407-y | ||
| Appears in Collections |
In geostatistical applications, the terms correlation length and range are often used interchangeably and refer to a characteristic covariance length ξ that normalizes the lag distance in the variogram or the covariance model. We present equations that strictly define the correlation length (r c ) and integral range (ℓ c ). We derive analytical expressions for r c and ℓ c of the Whittle–Matérn, fluctuation gradient curvature and rational quadratic covariances. For these covariances, we show that the correlation length and integral range for a given model are not fully determined by ξ. We define non-trivial covariance functions, and we formulate an ergodicity index based on ℓ c . We propose using the ergodicity index to compare coarse-grained measures corresponding to non-trivial covariance functions with different parameters. Finally, we discuss potential applications of the proposed covariance models in stochastic subsurface hydrology.
Copyright © DIAS 2013
