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| Titel |
Tree representation of time series: A case study of self-similarity and dynamics of channel bed morphology |
| VerfasserIn |
Arvind Singh, Ilya Zaliapin, Efi Foufoula-Georgiou |
| Konferenz |
EGU General Assembly 2010
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| Medientyp |
Artikel
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| Sprache |
Englisch
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| Digitales Dokument |
PDF |
| Erschienen |
In: GRA - Volume 12 (2010) |
| Datensatznummer |
250037885
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| Zusammenfassung |
| We introduce a novel tree-based multiscale approach for time series analysis. A time series is represented by a tree such that each local maximum corresponds to a tree leaf; each local minimum to an internal node; and the global minimum to the tree root. The tree nodes are indexed using the Horton-Strahler indexing scheme, which is widely used to rank river tributaries. Under this ranking, the large-rank tree branches (sequences of nodes with the same rank) correspond to large-scale features of time series; while small rank branches correspond to small-scale features. We apply this technique to study the self-similar properties and dynamics of channel bed morphology, turbulent velocity fluctuations and corresponding sediment transport series as monitored in a large-scale experimental flume under different flow conditions. |
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