the Creative Commons Attribution 4.0 License.
the Creative Commons Attribution 4.0 License.
Multifractality of Climate Networks
Abstract. Geophysical fields are extremely variable over a wide range of space-time scales. More specifically, they are intermittent in the sense that the strongest fluctuations are increasingly concentrated on sparser and sparser fractions of the space-time domain. Multifractals have been developed to analyse and simulate across scales such multiscale intermittency, while climate networks can detect and characterise extreme event synchronisation. In contrast to multifractal analysis, climate networks are usually generated at a given observation scale, despite displaying complex structures over larger scales and likely exhibiting similar complexity at smaller scales.
In this letter, we present how to overcome this dichotomy of approaches by analysing in detail the effects of increasing the observation scale for climate networks, as allowed by empirical data, i.e. how do they upscale. This must be understood as a preliminary step to be able to downscale them, including for practical applications such as urban geosciences that require analysis and simulation of intermittent fields at very high resolution. This is one of the reasons why we are using precipitation to illustrate our multifractal climate network approach.
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RC1: 'Comment on egusphere-2024-2793', Anastasios Tsonis, 30 Sep 2024
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Climate networks were introduced 20 years ago and ever since have provided a unique way to investigate dynamics, synchronization, and other properties in climate. As the authors state, climate networks are commonly generated at a given observation scale. Here the authors extend this by considering generation of networks at varying time scales akin to multifractals. The authors are leaders in the areas of climate networks and multifractals and I found their idea and approach ingenious. They show that analyzing networks using a multiscaling approach could lead to new understandings in climate dynamics.
Just a little minor point. The first time climate networks were introduced in the literature was in 2004 (“The architecture of climate networks”, Tsonis and Roebber, Physica A, 333, 497-504). The Tsonis et al., 2006 was an expansion of the above work.
I highly recommend publication of the paper as is.
Anastasios Tsonis
Citation: https://doi.org/10.5194/egusphere-2024-2793-RC1
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