Our conclusions only apply to the analyzed data sets, but show the potential of applying this robust statistical technique in the future. Karst sinkholes and wildfires, in contrast, are better described by truncated log-normals, although wildfires also may show power-law regimes. Tropical cyclones and rain precipitation over space and time show a truncated power-law regime. We confirm that impact fireballs and Californian earthquakes show untruncated power-law behavior, whereas global earthquakes follow a double power law. Our analysis elucidates the range of validity of the power-law fit and the corresponding exponent, and whether a power-law tail is improved by a truncated log-normal. OPEN ROADS RV SST26 FULLThe method is described in full detail and it is easy to implement. After reviewing the theoretical background for power-law distributions, we improve an objective statistical fitting method and apply it to diverse data sets. Adequate fits of the distributions of sizes are especially important in these cases, given that they may be used to assess long-term hazard. We revisit several examples of proposed power-law distributions dealing with potentially damaging natural phenomena. Observables can span several orders of magnitude, but the range for which the power law may be valid is typically truncated, usually because the smallest events are too tiny to be detected and the largest ones are limited by the system size. A rigorous statistical analysis of such observations is tricky, though. The size or energy of diverse structures or phenomena in geoscience appears to follow power-law distributions. Our conclusions only apply to the analyzed data sets but show the potential of applying this robust statistical technique in the future. Karst sinkholes and wildfires, in contrast, are better described by truncated lognormals, although wildfires also may show power law regimes. Rain precipitation over space and time and tropical cyclones show a truncated power law regime. We confirm that impact fireballs and Californian earthquakes show untruncated power law behavior, whereas global earthquakes follow a double power law. Our analysis elucidates the range of validity of the power law fit and the corresponding exponent and whether a power law tail is improved by a truncated lognormal. The method is described in full detail, and it is easy to implement. After reviewing the theoretical background for power law distributions, we improve an objective statistical fitting method and apply it to diverse data sets. Adequate fits of the distributions of sizes are especially important in these cases, given that they may be used to assess long‐term hazard. We revisit several examples of proposed power law distributions dealing with potentially damaging natural phenomena. The size or energy of diverse structures or phenomena in geoscience appears to follow power law distributions. Keywords: tropical rain clusters self-organized criticality The results from this study suggest that mesoscale rain clusters tend to grow by increasing in size and intensity, while larger clusters tend to grow by self-organizing without intensification. They are also related through a simple scaling relation consistent with classical self-organized critical phenomena. These results suggest that convection over the tropical oceans is organized into rain clusters with universal scaling properties. The two exponents were further found to be related via the expected total rain rate given a cluster area. The scaling exponents ζS were estimated to be 1.66 ± 0.06 and 1.48 ± 0.13 for the cluster area and cluster total rain rate, respectively. Using multiyear satellite rainfall estimates, the distributions of the area, and the total rain rate of rain clusters over the equatorial Indian, Pacific, and Atlantic Oceans was found to exhibit a power law f(s)~s], in which S represents either the cluster area or the cluster total rain rate and f(s) denotes the probability density function of finding an event of size s.
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |