Abstract

Abstract. The variations in oceanic and atmospheric modes on various timescales play important roles in generating global and regional climate variability. Many efforts have been devoted to identifying the relationships between the variations in climate modes and regional climate variability, but these have rarely explored the interconnections among these climate modes. Here we use climate indices to represent the variations in major climate modes and examine the harmonic relationship among the driving forces of climate modes using slow feature analysis (SFA) and wavelet analysis. We find that all of the significant peak periods of driving-force signals in the climate indices can be represented as harmonics of four base periods: 2.32, 3.90, 6.55, and 11.02 years. We infer that the period of 2.32 years is associated with the signal of the quasi-biennial oscillation (QBO). The periods of 3.90 and 6.55 years are linked to the intrinsic variability of the El Niño–Southern Oscillation (ENSO), and the period of 11.02 years arises from the sunspot cycle. Results suggest that the base periods and their harmonic oscillations related to QBO, ENSO, and solar activities act as key connections among the climatic modes with synchronous behaviors, highlighting the important roles of these three oscillations in the variability of the Earth's climate. Highlights. i. The harmonic relationship among the driving forces of climate modes was investigated by using slow feature analysis and wavelet analysis.ii. All of the significant peak periods of driving-force signals in climate indices can be represented as the harmonics of four base periods.iii. The four base periods related to QBO, ENSO, and solar activities act as the key linkages among different climatic modes with synchronous behaviors.

Highlights

  • We set the embedding dimension m to 11 for the Slow feature analysis (SFA) and extract each driving-force signal from six climate indices, which are denoted as Snino, Ssoi, Spdo, Samo, Snao, and Snaoi

  • In contrast to the quickly varying and lack-of-feature native climate index time series, the slowly varying signals appear to be a mixture of driving factors

  • Results show that each SFA-extracted signal involves significant peak periods at interannual to multidecadal timescales

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Summary

Introduction

The influences of large-scale climate modes (e.g., El Niño– Southern Oscillation (ENSO), Pacific Decadal Oscillation (PDO), North Atlantic Oscillation (NAO), and the Atlantic Multidecadal Oscillation – AMO) on the variations of global to regional climate (e.g., temperature, rainfall, and atmospheric circulations) have been extensively examined (Bradley et al, 1987; Wu et al, 2003; McCabe et al, 2004; Kenyon and Hegerl, 2008; Steinman et al, 2015; Wang et al, 2016, 2017; Yang et al, 2016; R. Zhang et al, 2017; Xie et al, 2019). The NAO is active in the North Atlantic region, which is characterized by a large-scale seesaw in atmospheric mass between the subtropical high and the polar low (Li and Wang, 2003) It manifests as climate fluctuations at multiple timescales ranging from interannual to multidecadal variabilities (Jones et al, 1997; Li et al, 2013), affecting the climate within and around the North Atlantic Ocean basin and even the entire Northern Hemisphere We examine another observationally based monthly NAO index for the period 1850–2015 (hereafter referred to as NAOI), which is defined by the difference in the normalized sea level pressure (SLP) that is zonally averaged over the North Atlantic sector from 80◦ W to 30◦ E between 35 and 65◦ N (Li and Wang, 2003; http://ljp.gcess.cn/dct/page/65610, last access: 1 March 2020). The NAOI is calculated based on the HadSLP dataset with the reference period of 1961–1990

Methods
Wavelet analysis
Results
Conclusions and discussion
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