Approximate multifractal correlation and products of universal multifractal fields, with application to rainfall data

Gires, Auguste; Tchiguirinskaia, Ioulia; Schertzer, Daniel

doi:https://doi.org/10.5194/npg-27-133-2020

Articles | Volume 27, issue 1

https://doi.org/10.5194/npg-27-133-2020

© Author(s) 2020. This work is distributed under
the Creative Commons Attribution 4.0 License.

https://doi.org/10.5194/npg-27-133-2020

© Author(s) 2020. This work is distributed under
the Creative Commons Attribution 4.0 License.

Articles | Volume 27, issue 1

Research article

|

19 Mar 2020

Research article |

| 19 Mar 2020

Approximate multifractal correlation and products of universal multifractal fields, with application to rainfall data

Auguste Gires, Ioulia Tchiguirinskaia, and Daniel Schertzer

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Final revised paper (published on 19 Mar 2020)
Preprint (discussion started on 29 Jul 2019)

Interactive discussion

Status: closed

AC: Author comment | RC: Referee comment | SC: Short comment | EC: Editor comment

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- Supplement

RC1: 'Corrections needed', Anonymous Referee #1, 13 Sep 2019
- AC1: 'Answer', Auguste Gires, 27 Dec 2019
RC2: 'Referee report', Anonymous Referee #2, 24 Nov 2019
- AC2: 'Answer', Auguste Gires, 27 Dec 2019

Peer-review completion

AR: Author's response | RR: Referee report | ED: Editor decision

AR by Svenja Lange on behalf of the Authors (29 Jan 2020) Author's response Manuscript

ED: Publish as is (06 Feb 2020) by Stéphane Vannitsem

Short summary

This paper aims to analyse and simulate correlations between two fields in a scale-invariant framework. It starts by theoretically assessing and numerically confirming the behaviour of renormalized multiplicative power law combinations of two fields with known scale-invariant properties. Then a new indicator of correlation is suggested and tested on rainfall data to study the correlation between the common rain rate and drop size distribution features.