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Temporal dependence structure in weights in a multiplicative cascade model for precipitation

Temporal dependence structure in weights in a multiplicative cascade model for precipitation
Temporal dependence structure in weights in a multiplicative cascade model for precipitation
We investigate the ability of the multiplicative random cascade model to accurately simulate temporal precipitation. Specifically, we explore the effect of the dependence structure in cascade weights due to clustering and within-storm variability on the temporal correlation in simulated precipitation, and we compare the results with data at 69 stations with 10 min precipitation records in Switzerland. Correlation is quantified with the oscillation coefficient, which is a measure of patterns of fluctuations in data. Simulation results show that the assumption of temporal independence in cascade weights is generally not supported by observations of both rainfall and snowfall, which show generally higher correlation (lower fluctuations) at the hourly time resolution. Seasonal signatures are also apparent, with higher correlation in the cold season with dominant stratiform precipitation than in the warm season with convective precipitation. Measurement artifacts caused by the tipping bucket mechanism at high resolutions (10 min) are shown to play a significant role in the estimation of the correlation structure in cascade weights because of the quantization of precipitation intensity by the tip volume and sampling time resolution of the gauge. These effects are smoothed out at resolutions above 1 h when the oscillation coefficients become independent of resolution. Such measurement artifacts may have an important effect on the estimated scaling and correlation behavior in precipitation at high temporal resolutions.
multifractals, rainfall modeling, random multiplicative cascades
0043-1397
1-14
Paschalis, Athanasios
e7626e9f-172b-4da2-882c-bddb219f3fb6
Molnar, Peter
99f2d15c-5348-4c80-bb35-fb54c133862d
Burlando, Paolo
5484fcec-b4d3-45e9-a72c-206ccbb5265f
Paschalis, Athanasios
e7626e9f-172b-4da2-882c-bddb219f3fb6
Molnar, Peter
99f2d15c-5348-4c80-bb35-fb54c133862d
Burlando, Paolo
5484fcec-b4d3-45e9-a72c-206ccbb5265f

Paschalis, Athanasios, Molnar, Peter and Burlando, Paolo (2012) Temporal dependence structure in weights in a multiplicative cascade model for precipitation. Water Resources Research, 48 (1), 1-14. (doi:10.1029/2011WR010679).

Record type: Article

Abstract

We investigate the ability of the multiplicative random cascade model to accurately simulate temporal precipitation. Specifically, we explore the effect of the dependence structure in cascade weights due to clustering and within-storm variability on the temporal correlation in simulated precipitation, and we compare the results with data at 69 stations with 10 min precipitation records in Switzerland. Correlation is quantified with the oscillation coefficient, which is a measure of patterns of fluctuations in data. Simulation results show that the assumption of temporal independence in cascade weights is generally not supported by observations of both rainfall and snowfall, which show generally higher correlation (lower fluctuations) at the hourly time resolution. Seasonal signatures are also apparent, with higher correlation in the cold season with dominant stratiform precipitation than in the warm season with convective precipitation. Measurement artifacts caused by the tipping bucket mechanism at high resolutions (10 min) are shown to play a significant role in the estimation of the correlation structure in cascade weights because of the quantization of precipitation intensity by the tip volume and sampling time resolution of the gauge. These effects are smoothed out at resolutions above 1 h when the oscillation coefficients become independent of resolution. Such measurement artifacts may have an important effect on the estimated scaling and correlation behavior in precipitation at high temporal resolutions.

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More information

Accepted/In Press date: 14 November 2011
e-pub ahead of print date: 4 January 2012
Published date: January 2012
Keywords: multifractals, rainfall modeling, random multiplicative cascades
Organisations: Water & Environmental Engineering Group

Identifiers

Local EPrints ID: 385305
URI: https://eprints.soton.ac.uk/id/eprint/385305
ISSN: 0043-1397
PURE UUID: 74aba4a9-777a-4fed-9bf5-df88298a3994
ORCID for Athanasios Paschalis: ORCID iD orcid.org/0000-0003-4833-9962

Catalogue record

Date deposited: 18 Jan 2016 16:49
Last modified: 15 Jul 2019 20:53

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Contributors

Author: Athanasios Paschalis ORCID iD
Author: Peter Molnar
Author: Paolo Burlando

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