Majumdar, Satya N., von Bomhard, Philipp and Krug, Joachim ORCID: 0000-0002-2143-6490 (2019). Exactly Solvable Record Model for Rainfall. Phys. Rev. Lett., 122 (15). COLLEGE PK: AMER PHYSICAL SOC. ISSN 1079-7114

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Abstract

Daily precipitation time series are composed of null entries corresponding to dry days and nonzero entries that describe the rainfall amounts on wet days. Assuming that wet days follow a Bernoulli process with success probability p, we show that the presence of dry days induces negative correlations between record-breaking precipitation events. The resulting nonmonotonic behavior of the Fano factor of the record counting process is recovered in empirical data. We derive the full probability distribution P(R, n) of the number of records R-n, up to time n, and show that for large n, it converges to a Poisson distribution with parameter ln(pn). We also study in detail the joint limit p -> 0, n -> infinity, which yields a random record model in continuous time t = pn.

Item Type: Journal Article
Creators:
CreatorsEmailORCIDORCID Put Code
Majumdar, Satya N.UNSPECIFIEDUNSPECIFIEDUNSPECIFIED
von Bomhard, PhilippUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Krug, JoachimUNSPECIFIEDorcid.org/0000-0002-2143-6490UNSPECIFIED
URN: urn:nbn:de:hbz:38-150541
DOI: 10.1103/PhysRevLett.122.158702
Journal or Publication Title: Phys. Rev. Lett.
Volume: 122
Number: 15
Date: 2019
Publisher: AMER PHYSICAL SOC
Place of Publication: COLLEGE PK
ISSN: 1079-7114
Language: English
Faculty: Faculty of Mathematics and Natural Sciences
Divisions: Faculty of Mathematics and Natural Sciences > Department of Physics > Institut für Biologische Physik
Subjects: no entry
Uncontrolled Keywords:
KeywordsLanguage
PRECIPITATION; EXTREMES; EXPECT; EVENTSMultiple languages
Physics, MultidisciplinaryMultiple languages
Refereed: Yes
URI: http://kups.ub.uni-koeln.de/id/eprint/15054

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