Skip to main content

Advertisement

Log in

Scale-Independent Variation Rates of Phanerozoic Environmental Variables and Implications for Earth’s Sustainability and Habitability

  • Published:
Mathematical Geosciences Aims and scope Submit manuscript

Abstract

The atmospheric \(\textrm{CO}_{2}\) level, global average temperature, and sea level, which are three key metrics characterizing Earth’s surface environments, underwent a series of significant changes over geologic time. Here, I investigate the variation rates of these three variables during the Phanerozoic Eon and show that they systematically exhibit scale-independent behaviors. I then derive a general mathematical form of these scale-independent patterns based on geosystem-specific assumptions and basic physical principles. From the perspective of statistical mechanics, these scale-independent behaviors appearing in the planetary-scale geological system imply that the internal dynamics and interactions of different components in the Earth system have significantly influenced its evolution and stability, which sheds light on Earth’s sustainability and habitability.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1

Similar content being viewed by others

References

Download references

Acknowledgements

I thank Editor Roussos Dimitrakopoulos for handling this manuscript and two anonymous reviewers for thoughtful and constructive comments.

Author information

Authors and Affiliations

Authors

Contributions

HS conceived the project, performed the research, and wrote the manuscript.

Corresponding author

Correspondence to Haitao Shang.

Ethics declarations

Conflict of interest

The author declares no conflict of interest.

Rights and permissions

Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Shang, H. Scale-Independent Variation Rates of Phanerozoic Environmental Variables and Implications for Earth’s Sustainability and Habitability. Math Geosci (2024). https://doi.org/10.1007/s11004-024-10135-8

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s11004-024-10135-8

Keywords

Navigation