Next Article in Journal
Improved Interpretation of Marine Sedimentary Environments Using Multi-Frequency Multibeam Backscatter Data
Previous Article in Journal
Living Dendrolitic Microbial Mats in Hamelin Pool, Shark Bay, Western Australia
Article Menu
Issue 6 (June) cover image

Export Article

Open AccessArticle
Geosciences 2018, 8(6), 213;

A Mathematics Inspired Notation of Scales in the Climate System

Department of Mathematics and Center for Earth System Research and Sustainability (CEN), Bundesstrasse 55, Universität Hamburg, 20146 Hamburg, Germany
Received: 13 April 2018 / Revised: 5 June 2018 / Accepted: 7 June 2018 / Published: 11 June 2018
Full-Text   |   PDF [898 KB, uploaded 12 June 2018]   |  


Conducting integrated climate research with involvement of such diverse disciplines as mathematics, meteorology, oceanography, economics, geology, biology, social, and communication sciences poses great challenges to the underlying nomenclature and methodology. In this article, we give a definition of the notion of scales, which is a central term in the geosciences, but not so familiar to social sciences or economics. We start with defining agents, involved in a specific subject of study, determined by their attributes or states. We move on to understand processes and phenomena as maps and subsets of image sets. With this and the introduction of metrics, we can measure sizes of phenomena and processes and finally define scales. Several examples illustrate our definition. An attempt is made to motivate a notion of scale interaction. This concept has proved useful in an interdisciplinary teaching project. View Full-Text
Keywords: climate; scale; scale interaction; resonance; interdisciplinary research climate; scale; scale interaction; resonance; interdisciplinary research

Figure 1

This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).

Share & Cite This Article

MDPI and ACS Style

Behrens, J. A Mathematics Inspired Notation of Scales in the Climate System. Geosciences 2018, 8, 213.

Show more citation formats Show less citations formats

Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Related Articles

Article Metrics

Article Access Statistics



[Return to top]
Geosciences EISSN 2076-3263 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top