Universality of rain event size distributions

@article{Peters2010UniversalityOR,
  title={Universality of rain event size distributions},
  author={Ole Peters and Anna Deluca and {\'A}lvaro Corral and J. David Neelin and Christopher E. Holloway},
  journal={Journal of Statistical Mechanics: Theory and Experiment},
  year={2010},
  volume={2010},
  pages={P11030}
}
  • O. Peters, A. Deluca, C. Holloway
  • Published 20 October 2010
  • Environmental Science
  • Journal of Statistical Mechanics: Theory and Experiment
We compare rain event size distributions derived from measurements in climatically different regions, which we find to be well approximated by power laws of similar exponents over broad ranges. Differences can be seen in the large-scale cutoffs of the distributions. Event duration distributions suggest that the scale-free aspects are related to the absence of characteristic scales in the meteorological mesoscale. 

Rainfall and Dragon-Kings

Previous studies have found broad distributions, resembling power laws for different measures of the size of rainfall events. We investigate the large-event tail of these distributions and find in

Scale Invariant Events and Dry Spells for Medium Resolution Local Rain Data

We analyze distributions of rain-event sizes, rain-event durations, and dry-spell durations for data obtained from a network of 20 rain gauges scattered in a region of the NW Mediterranean coast.

Why Do Precipitation Intensities Tend to Follow Gamma Distributions?

The probability distribution of daily precipitation intensities, especially the probability of extremes, impacts a wide range of applications. In most regions this distribution decays slowly with

The size distribution of spatiotemporal extreme rainfall clusters around the globe

The scaling behavior of rainfall has been extensively studied both in terms of event magnitudes and in terms of spatial extents of the events. Different heavy‐tailed distributions have been proposed

Criticality on Rainfall: Statistical Observational Constraints for the Onset of Strong Convection Modelling

A better understanding of convection is crucial for reducing the intrinsic errors present in climate models [4]. Many atmospheric processes related to precipitation have large scale correlations in

The universal scaling characteristics of tropical oceanic rain clusters

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

Explaining Scales and Statistics of Tropical Precipitation Clusters with a Stochastic Model

Precipitation clusters are contiguous raining regions characterized by a precipitation threshold, size, and the total rainfall contained within—termed the cluster power. Tropical observations

Universality in the precipitation and river runoff

For characterizing the inherent dynamical structure of precipitation and river runoffs, we study in representative seasonally detrended records the durations τ where the record is below a given

Power Law Size Distributions in Geoscience Revisited

The size or energy of diverse structures or phenomena in geoscience appears to follow power law distributions. A rigorous statistical analysis of such observations is tricky, though. Observables can

Power-law distributions in geoscience revisited

The size or energy of diverse structures or phenomena in geoscience appears to follow power-law distributions. A rigorous statistical analysis of such observations is tricky, though. Observables can
...

References

SHOWING 1-10 OF 33 REFERENCES

A complexity view of rainfall.

TLDR
It is shown that rain events are analogous to a variety of nonequilibrium relaxation processes in Nature such as earthquakes and avalanches and that power laws describe the number of rain events versus size and number of droughts versus duration.

Rain, power laws, and advection.

Localized rain events have been found to follow power-law size and duration distributions over several decades, suggesting parallels between precipitation and seismic activity [O. Peters, Phys. Rev.

Size Statistics of Cumulus Cloud Populations in Large-Eddy Simulations

Abstract Cloud size distributions of shallow cumulus cloud populations are calculated using the large-eddy simulation (LES) approach. A range of different cases is simulated, and the results are

The Echo Size Distribution of Precipitating Shallow Cumuli

Abstract S-band radar surveillance scans of precipitating shallow convection are analyzed. The scans are complied from 52 days of near-continuous measurements in the winter trades of the North

Mesoscale Convective Systems and Critical Clusters

Abstract Size distributions and other geometric properties of mesoscale convective systems (MCSs), identified as clusters of adjacent pixels exceeding a precipitation threshold in satellite radar

A Stochastic Raindrop Time Distribution Model

Abstract A disdrometer simultaneously measuring time of arrival and size of raindrops was set up in the Paris, France, area. Data collected over a period of 25 months (May 1992 to May 1994) are

The Transition to Strong Convection

Recent work has shown that observations of tropical precipitation conform to properties associated with critical phenomena in other systems. Here some of these universal properties are used to probe

Characteristics of small tropical cumulus clouds and their impact on the environment

This study uses a number of data sets (Moderate Resolution Imaging Spectroradiometer (MODIS) Airborne Simulator data, space shuttle photography, Radiation Measurement System data, aircraft data, and

Scale-Dependent Models for Atmospheric Flows

  • R. Klein
  • Environmental Science, Physics
  • 2010
Atmospheric flows feature length scales from 10−5 to 105 m and timescales from microseconds to weeks or more. For scales above several kilometers and minutes, there is a natural scale separation