Universality of rain event size distributions
Open accessAbstract
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.
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Observed distributions of event depths exhibit a power law range.
“observed distributions of event depths exhibit a power law range [68, 81]”
From Precipitation Extremes Under Climate Change (2015) · cites this paper as [68]
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Cites
Savitzky-Golay Smoothing Filters
Press, W. H., & Teukolsky, S. A. (1990) · Computers in Physics · doi:10.1063/1.4822961 · Cited by 11,728 · see citing works
The Jackknife, the Bootstrap and Other Resampling Plans
Efron, B. (1982) · Society for Industrial and Applied Mathematics eBooks · doi:10.1137/1.9781611970319 · Cited by 8,120 · see citing works
Power-Law Distributions in Empirical Data
Clauset, A., Shalizi, C. R., & Newman, M. E. J. (2009) · SIAM Review · doi:10.1137/070710111 · Cited by 8,019 · see citing works
Power-law distributions in empirical data
Clauset, A. J., Shalizi, C. R., & Newman, M. E. J. (2018) · Figshare · doi:10.1184/r1/6586835.v1 · Cited by 6,736 · see citing works
A Comprehensive Mass Flux Scheme for Cumulus Parameterization in Large-Scale Models
Tiedtke, M. (1989) · Monthly Weather Review · doi:10.1175/1520-0493(1989)117 · Cited by 3,654 · see citing works
The Jackknife: The Bootstrap and Other Resampling Plans.
Low, L. Y., & Efron, B. (1983) · Journal of the American Statistical Association · doi:10.2307/2288218 · Cited by 2,728 · see citing works
Scaling, Self-similarity, and Intermediate Asymptotics
Barenblatt, G. I. (1996) · Cambridge University Press eBooks · doi:10.1017/cbo9781107050242 · Cited by 2,015 · see citing works
Betts, A. K., & Miller, M. J. (1986) · Quarterly Journal of the Royal Meteorological Society · doi:10.1002/qj.49711247308 · Cited by 1,087 · see citing works
Meyers, S. D., Kelly, B. G. J., & O’Brien, J. J. (1993) · Monthly Weather Review · doi:10.1175/1520-0493(1993)121 · Cited by 528 · see citing works
Critical Exponents and Scaling Relations for Self-Organized Critical Phenomena
Tang, C., & Bak, P. (1988) · Physical Review Letters · doi:10.1103/physrevlett.60.2347 · Cited by 406 · see citing works
Critical phenomena in atmospheric precipitation
Peters, O., & Neelin, J. D. (2006) · Nature Physics · doi:10.1038/nphys314 · Cited by 376 · see citing works
Self-citationThe Transition to Strong Convection
Neelin, J. D., Peters, O., & Hales, K. (2009) · Journal of the Atmospheric Sciences · doi:10.1175/2009jas2962.1 · Cited by 252 · see citing works
Self-citationPeters, O., Hertlein, C., & Christensen, K. (2001) · Physical Review Letters · doi:10.1103/physrevlett.88.018701 · Cited by 235 · see citing works
Self-citationSelf-organized criticality as an absorbing-state phase transition
Dickman, R., Vespignani, A., & Zapperi, S. (1998) · Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics · doi:10.1103/physreve.57.5095 · Cited by 202 · see citing works
Can We Understand Clouds Without Turbulence?
Bodenschatz, E., Malinowski, S. P., Shaw, R. A., & Stratmann, F. (2010) · Science · doi:10.1126/science.1185138 · Cited by 194 · see citing works
Fractal analysis of high‐resolution rainfall time series
Olsson, J., Niemczynowicz, J., & Berndtsson, R. (1993) · Journal of Geophysical Research Atmospheres · doi:10.1029/93jd02658 · Cited by 173 · see citing works
The Dimension and Intermittency of Atmospheric Dynamics
Schertzer, D., & Lovejoy, S. M. (1985) · Springer eBooks · doi:10.1007/978-3-642-69996-2_2 · Cited by 172 · see citing works
Scale-Dependent Models for Atmospheric Flows
Klein, R. (2009) · Annual Review of Fluid Mechanics · doi:10.1146/annurev-fluid-121108-145537 · Cited by 162 · see citing works
Characteristics of small tropical cumulus clouds and their impact on the environment
Benner, T. C., & Curry, J. A. (1998) · Journal of Geophysical Research Atmospheres · doi:10.1029/98jd02579 · Cited by 154 · see citing works
Avalanche-size distribution at the depinning transition: A numerical test of the theory
Rosso, A., Doussal, P. L., & Wiese, K. J. (2009) · Physical Review B · doi:10.1103/physrevb.80.144204 · Cited by 125 · see citing works
Mesoscale Convective Systems and Critical Clusters
Peters, O., Neelin, J. D., & Nesbitt, S. W. (2008) · Journal of the Atmospheric Sciences · doi:10.1175/2008jas2761.1 · Cited by 114 · see citing works
Self-citationThe Aeronomy of Hydrogen in the Atmosphere of the Earth
Liu, S. C., & DONAHUE, T. M. (1974) · Journal of the Atmospheric Sciences · doi:10.1175/1520-0469(1974)031 · Cited by 108 · see citing works
Neelin, J. D., Peters, O., Lin, J. W., Hales, K., & Holloway, C. E. (2008) · Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences · doi:10.1098/rsta.2008.0056 · Cited by 107 · see citing works
Self-citationJovian Dynamics. Part III: Multiple, Migrating, and Equatorial Jets
WILLIAMS, G. P. (2003) · Journal of the Atmospheric Sciences · doi:10.1175/1520-0469(2003)60 · Cited by 78 · see citing works
Meteorological Processes Relevant to Forest Fire Dynamics on the Spanish Mediterranean Coast
Millán, M. M., Estrela, M. J., & Badenas, C. (1998) · Journal of applied meteorology · doi:10.1175/1520-0450(1998)037 · Cited by 57 · see citing works
Analysis of rainfall records: possible relation to self-organized criticality
Andrade, R. F. S., Schellnhuber, H. J., & Claussen, M. A. (1998) · Physica A Statistical Mechanics and its Applications · doi:10.1016/s0378-4371(98)00057-0 · Cited by 52 · see citing works
The Echo Size Distribution of Precipitating Shallow Cumuli
Trivej, P., & Stevens, B. (2009) · Journal of the Atmospheric Sciences · doi:10.1175/2009jas3178.1 · Cited by 25 · see citing works
Rain, Power Laws, and Advection
Dickman, R. (2003) · Physical Review Letters · doi:10.1103/physrevlett.90.108701 · Cited by 22 · see citing works
Comment on “Self-organized criticality and absorbing states: Lessons from the Ising model”
Alava, M. J., Laurson, L., Vespignani, A., & Zapperi, S. (2008) · Physical Review E · doi:10.1103/physreve.77.048101 · Cited by 11 · see citing works
Pruessner, G., & Peters, O. (2008) · Physical Review E · doi:10.1103/physreve.77.048102 · Cited by 6 · see citing works
Self-citation
Flagged first, then by citations
Research works printed but not linked: 4
- [8][8] Arakawa A and Schubert W H. Interaction of a cumulus cloud ensemble with large-scale environment. J. Atmos. Sci. , 31(3):674-701, 1974. -
- [20][20] Press W H, Teukolsky S A, Vetterling W T, and Flannery B P. Numerical Recipes . Cambridge University Press, Cambridge, 3rd edition, 2002. -
- [25][25] Cahalan R F and Joseph J H. Fractal statistics of cloud fields. Mon. Wea. Rev. , 117(2):261-272, 1989. -
- [29][29] Neggers R A J, Jonker H J J, and Siebesma A P. Size statistics of cumulus cloud populations in large-eddy simulations. J. Atmos. Sci. , 60(8):1060-1074, 2003.
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- Authors
- Peters, O., Deluca, A., Corral, A., Neelin, J. D., & Holloway, C. E.
- Affiliations
- University of California, Los Angeles (US)
- Centre de Recerca Matemàtica (ES)
- University of Reading (GB)
- Venue
- Journal of Statistical Mechanics: Theory and Experiment
- Publisher
- IOP Publishing
- Published
- 2010-11-19
- Volume
- 2010
- Issue
- 11
- Pages
- P11030
- ISSN
- 1742-5468 (ISSN-L)
- OpenAlex
- W2060774441
- Cited by
- 96
- References
- 30
- Citations by year
- 2026: 3 · 2025: 4 · 2023: 3 · 2022: 8 · 2021: 6 · 2020: 9 · 2019: 7 · 2018: 3 · 2017: 9 · 2016: 6 · 2015: 8 · 2014: 12 · 2013: 3 · 2012: 11
- FWCI
- 12.02
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Journal of Statistical Mechanics Theory and Experiment (publishedVersion)
- CentAUR (University of Reading) (acceptedVersion)
- arXiv (Cornell University) (submittedVersion)
- Dipòsit Digital de Documents de la UAB (Universitat Autònoma de Barcelona) (submittedVersion, cc-by-nc-nd)
- LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Científicas) (submittedVersion, cc-by-nc-nd)
- RECERCAT (Consorci de Serveis Universitaris de Catalunya) (submittedVersion, cc-by-nc-nd)
- arXiv (Cornell University)
- Funders
- National Science Foundation (0645200)
- Imperial College London
- Directorate for Biological Sciences
- National Oceanic and Atmospheric Administration (NA08OAR4310882)
- Natural Environment Research Council (ncas10009)
- Biological and Environmental Research
- Topics
- Social Sciences › Economics, Econometrics and Finance › Economics and Econometrics › Complex Systems and Time Series Analysis
- Physical Sciences › Earth and Planetary Sciences › Atmospheric Science › Precipitation Measurement and Analysis
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Statistical Mechanics and Entropy
- Keywords
- power law, universality, scale-free distribution, mesoscale, climate zones, precipitation statistics
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