Articles | Volume 27, issue 1
Nonlin. Processes Geophys., 27, 133–145, 2020
https://doi.org/10.5194/npg-27-133-2020
Nonlin. Processes Geophys., 27, 133–145, 2020
https://doi.org/10.5194/npg-27-133-2020

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 et al.

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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.