Wave duration/persistence statistics, recording interval, and fractal dimension
| dc.creator | Jenkins, Alastair D. | |
| dc.date | 2001-07-18 | |
| dc.date | 2003-07-04 | |
| dc.date.accessioned | 2026-07-07T05:46:07Z | |
| dc.date.available | 2026-07-07T05:46:07Z | |
| dc.description | The statistics of sea state duration (persistence) have been found to be dependent upon the recording interval Δt. Such behavior can be explained as a consequence of the fact that the graph of a time series of an environmental parameter such as the significant wave height has an irregular, "fractal" geometry. The mean duration, \barτ, can have a power-law dependence on Δt as Δt -> 0, with an exponent equal to the fractal dimension of the level sets of the time series graph. This recording interval dependence means that the mean duration is not a well defined quantity to use for marine operational purposes. A more practical quantity may be the "useful mean duration", \barτ^u, estimated from the formula (\sumτ_i^2)/(\sumτ_i), where each interval [t_i,t_i+τ_i] satisfying the appropriate criterion is weighted by its duration. These results are illustrated using wave data from the Frigg gas field in the North Sea. | |
| dc.description | 8 pages, LaTeX. Submitted to the International Journal of Offshore and Polar Engineering, 2001 July 16. Replaced (10 pages, 3 figures), with corrections to the data analysis | |
| dc.identifier | https://arxiv.org/abs/physics/0107045 | |
| dc.identifier | http://arxiv.org/abs/physics/0107045 | |
| dc.identifier | International Journal of Offshore and Polar Engineering Vol. 12, No. 2, pp. 109-113, June 2002 (ISSN 1053-5381) | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/84225 | |
| dc.subject | Atmospheric and Oceanic Physics | |
| dc.subject | Data Analysis, Statistics and Probability | |
| dc.title | Wave duration/persistence statistics, recording interval, and fractal dimension | |
| dc.type | text |