Wavelet-Based Multifractal Analysis on Climatic Regime Shifts

Maruyama, Fumio; Kai, Kenji; Morimoto, Hiroshi

doi:10.2151/jmsj.2015-018

Cited by 9 publications

(6 citation statements)

References 21 publications

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“…The wavelet transform allows reliable multifractal analysis to be performed [2]. In our previous paper [3], in terms of the multifractal analysis, we conclude that a climatic regime shift corresponds to a change from multifractality to monofractality of the Pacific Decadal Oscillation (PDO) index.…”

Section: Journal Of Applied Mathematics and Physicsmentioning

confidence: 88%

The Relation among the Solar Activity, the Total Ozone, QBO, NAO, and ENSO by Wavelet-Based Multifractal Analysis

Maruyama¹

2018

JAMP

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There is an increasing interest in the relation between the solar activity and climate change. As for the solar activity, a fractal property of the sunspot number was studied by many works. In general, a fractal property was observed in the time series of dynamics of complex systems. The purposes of this study are to investigate the relations among the solar activity, total ozone, Quasi-Biennial Oscillation (QBO), the North Atlantic Oscillation (NAO), and El Niño-Southern Oscillation (ENSO) from a view of multi-fractality. To detect the changes of multifractality, we examined the multifractal analysis on the time series of the solar 10.7-cm radio flux (F10.7 flux), total ozone, QBO, NAO, and Niño3.4 indices. During the period 1950 and 2010, for the F10.7 flux and QBO index, the matching in monofractality or multifractality is observed and the increase and decrease of multifractality is similar; that is the change of multifractality is similar. In the same way, it is very similar, during the period 1985 and 2010, for the QBO and the total ozone, and during the period 1950 and 2010, for the QBO, and NAO and for the QBO, and Niño3.4. Compared to Niño3.4, the multifractality of NAO and QBO was strong and it turns out that they are undergoing unstable change. The relation among the solar activity, total ozone, QBO, NAO, and ENSO was clarified by the methods of fractal analysis and the wavelet coherence. These findings will contribute to the research of the relation between the solar activity and climate change.

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Section: Journal Of Applied Mathematics and Physicsmentioning

confidence: 88%

The Relation among the Solar Activity, the Total Ozone, QBO, NAO, and ENSO by Wavelet-Based Multifractal Analysis

Maruyama¹

2018

JAMP

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“…The τ(−6) of the AMO and PDO increased and the fractality of AMO and PDO became monofractal at 1976 and the AMO and PDO became stable. For 1976, the fractality of AMO, PDO, and Niño3.4 changed from multifractality to monofractality, which is shown in the climate regime shift (Maruyama & Morimoto, 2015) and the global temperature increased. When the state changes, the fractality also changes to exhibit mono-Journal of Geoscience and Environment Protection fractality and stability.…”

Section: Discussionmentioning

confidence: 99%

“…The wavelet transform allows reliable multifractal analysis to be performed (Muzy et al, 1991). In terms of the multifractal analysis, we concluded in our previous paper (Maruyama & Morimoto, 2015) that a climatic regime shift corresponds to a change from multifractality to monofractality of the PDO index.…”

Section: Introductionmentioning

confidence: 88%

Influence of the Atlantic Multidecadal Oscillation and the Pacific Decadal Oscillation on Global Temperature by Wavelet-Based Multifractal Analysis

Maruyama¹

2019

GEP

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Oceanic-atmospheric patterns, Atlantic Multidecadal Oscillation (AMO) and Pacific Decadal Oscillation (PDO), and their respective influence on the global warming hiatus were the main interests of this study. In general, a fractal property is observed in the time series of dynamics of complex systems; hence, we investigated the relations among the AMO, PDO, and El Niño-Southern Oscillation (ENSO) from the point of view of multifractality, in which changes in fractality were detected with multifractal analysis using wavelet transform. For the periods 1950-1976 and 1998-2012, global temperature increased little, with positive AMO and negative PDO indices; subsequently, the rate of temperature increase weakened. Global temperature increased again in 1976, with the reversal of the AMO and PDO indices from negative to positive. More specifically, AMO, PDO, and Niño3.4 (ENSO index) exhibited fractality change from multifractality to monofractality, providing them stability. Generally, the PDO was influenced largely by the ENSO. But, around 1960 and around 2000, whose periods corresponded to hiatus periods in global warming, the influence of the ENSO on the PDO was weak. In 1998, the AMO increased and PDO decreased and global temperature increased little and the multifractality of PDO, and Niño3.4 was weak, which corresponded to the change from multifractality to monofractality in 1976. Wavelet analysis showed the leads of PDO and Niño3.4 indices with respect to global temperature. Consequently, the PDO and ENSO showed large influence on global temperature and, further, on the global warming hiatus.

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“…In our previous paper (Maruyama et al, 2015), in terms of the multifractal analysis, we conclude that a climatic regime shift corresponds to a change from multifractality to monofractality of the Pacific Decadal Oscillation (PDO) index.…”

Section: Introductionmentioning

confidence: 92%

The solar activity by wavelet-based multifractal analysis

Maruyama

2016

NRIAG Journal of Astronomy and Geophysics

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The interest in the relation between the solar activity and climate change is increasing. As for the solar activity, a fractal property of the sunspot series was studied by many works. In general, a fractal property was observed in the time series of dynamics of complex systems. The purposes of this study were to investigate the relationship between the sunspot number, solar radio flux at 10.7 cm (F10.7 cm) and total ozone from a view of multifractality. To detect the changes of multifractality, we examined the multifractal analysis on the time series of the solar activity and total ozone indices. The changes of fractality of the sunspot number and F10.7 cm are very similar. When the sunspot number becomes maximum, the fractality of the F10.7 cm changes from multifractality to monofractality. The changes of fractality of the F10.7 cm and the total ozone are very similar. When the sunspot number becomes maximum, the fractality of the total ozone changes from multifractality to monofractality. A change of fractality of the F10.7 cm and total ozone was observed when the solar activity became maximum. The influence of the solar activity on the total ozone was shown by the wavelet coherence, phase and the similarity of the change of fractality. These findings will contribute to the research of the relationship between the solar activity and climate.

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Wavelet-Based Multifractal Analysis on Climatic Regime Shifts

Cited by 9 publications

References 21 publications

The Relation among the Solar Activity, the Total Ozone, QBO, NAO, and ENSO by Wavelet-Based Multifractal Analysis

The Relation among the Solar Activity, the Total Ozone, QBO, NAO, and ENSO by Wavelet-Based Multifractal Analysis

Influence of the Atlantic Multidecadal Oscillation and the Pacific Decadal Oscillation on Global Temperature by Wavelet-Based Multifractal Analysis

The solar activity by wavelet-based multifractal analysis

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