Table 5 A comparison between two types of multifractal studies: multifractal time series analysis and multifractal spatial analysis.
Type | Temporal multifractal analysis | Spatial multifractal analysis |
|---|---|---|
Research object | Temporal process | Spatial distribution |
Data | Time series data | Spatial datasets |
Method | Wavelet Transform (WT), De-trended Fluctuation Analysis (DFA); Phase Space Reconstruction (PSR), etc. | Box-counting method (BCM); Sandbox method (SBM); Fixed radius method (FRM); Fixed mass method (FMM), etc. |
Parameters | Global and local parameters | Global and local parameters |
Scaling | Temporal scaling | Spatial scaling |
Space | Phase space | Real space |
