Eigen microstates and their evolution of global ozone at different geopotential heights

Xiaojie Chen, Na Ying, Dean Chen, Yongwen Zhang, Bo Lu, Jingfang Fan, Xiaosong Chen

Research output: Contribution to journalArticlepeer-review

5 Scopus citations


Studies on stratospheric ozone have attracted much attention due to its serious impacts on climate changes and its important role as a tracer of Earth’s global circulation. Tropospheric ozone as a main atmospheric pollutant damages human health as well as the growth of vegetation. Yet, there is still a lack of a theoretical framework to fully describe the variation of ozone. To understand ozone’s spatiotemporal variance, we introduce the eigen microstate method to analyze the global ozone mass mixing ratio between January 1, 1979 and June 30, 2020 at 37 pressure layers. We find that eigen microstates at different geopotential heights can capture different climate phenomena and modes. Without deseasonalization, the first eigen microstates capture the seasonal effect and reveal that the phase of the intra-annual cycle moves with the geopotential heights. After deseasonalization, by contrast, the collective patterns from the overall trend, El Niño-Southern Oscillation (ENSO), quasi-biennial oscillation, and tropopause pressure are identified by the first few significant eigen microstates. The theoretical framework proposed here can also be applied to other complex Earth systems.

Original languageEnglish
Article number071102
Issue number7
StatePublished - 1 Jul 2021
Externally publishedYes

Bibliographical note

Publisher Copyright:
© 2021 Author(s).


We wish to thank Qing Yao for reading the manuscript and providing some useful comments. This work was supported by the Key Research Program of Frontier Chinese Academy of Sciences (Grant No. QYZD-SSW-SYS019).

FundersFunder number
Key Research Program of Frontier Science, Chinese Academy of SciencesQYZD-SSW-SYS019


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