Arithmetic relationships in Earth’s global mean energy flow system
Abstract. Definite ratios and arithmetic relationships can be revealed in Earth’s global mean energy flow system. These ratios are not dataset-specific; they can be found in each global energy budget estimate published in the past decade. In this technical paper we point out these arithmetic structures in assessments based on direct observations and climate models; in global energy and water cycle studies; updated energy budget estimates, several satellite-based data products; up to the most recent quantification of the energy flows in the up-to-date global energy and water exchange (GEWEX) data records. The ratios and the corresponding relationships can be recognized both in the all-sky and clear-sky fluxes, and both for radiative (shortwave as well as longwave) and non-radiative energy flow components in the annual global mean. The accuracy of the found relationships allows us to investigate their physical basis, which is identified in known radiation transfer equations. The proposed equations apply only on a subset of the observationally valid arithmetic ratios; other components, having the same accuracy, remain yet unexplained and are presented here only on empirical grounds.
- Location
-
Deutsche Nationalbibliothek Frankfurt am Main
- Extent
-
Online-Ressource
- Language
-
Englisch
- Bibliographic citation
-
Arithmetic relationships in Earth’s global mean energy flow system ; day:18 ; month:04 ; year:2023 ; pages:1-22 ; extent:22
EGUsphere ; (18.04.2023), 1-22 (gesamt 22)
- Creator
-
Zagoni, Miklos
- DOI
-
10.5194/egusphere-2023-698
- URN
-
urn:nbn:de:101:1-2023042005170263635468
- Rights
-
Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Last update
-
14.08.2025, 10:54 AM CEST
Data provider
Deutsche Nationalbibliothek. If you have any questions about the object, please contact the data provider.
Associated
- Zagoni, Miklos
Other Objects (12)
On approximating the quasi-arithmetic mean
Weighted arithmetic–geometric operator mean inequalities
Sharp bounds for the arithmetic-geometric mean
Impulse-driven oscillations of the near-Earth’s magnetosphere
Informations-Blatt: ’Wohnregal’, Admiralstr. 16
12. Reciprocity; Gauss' Theorem of the Arithmetic Mean.
On axiomizing and extending the quasi-arithmetic mean
Optimal two-parameter geometric and arithmetic mean bounds for the Sándor–Yang mean
Persistent warming of the ground on the Earth’s Third Pole
Modeling impacts of dust mineralogy on Earth’s Radiation and Climate
An exact additive decomposition of the weighted arithmetic mean
Which is the Correct Discount Rate? Arithmetic Versus Geometric Mean
On approximating the quasi-arithmetic mean
Weighted arithmetic–geometric operator mean inequalities
Sharp bounds for the arithmetic-geometric mean
Impulse-driven oscillations of the near-Earth’s magnetosphere
Informations-Blatt: ’Wohnregal’, Admiralstr. 16
12. Reciprocity; Gauss' Theorem of the Arithmetic Mean.
On axiomizing and extending the quasi-arithmetic mean
Optimal two-parameter geometric and arithmetic mean bounds for the Sándor–Yang mean
Persistent warming of the ground on the Earth’s Third Pole
Modeling impacts of dust mineralogy on Earth’s Radiation and Climate
An exact additive decomposition of the weighted arithmetic mean
Which is the Correct Discount Rate? Arithmetic Versus Geometric Mean
On approximating the quasi-arithmetic mean
Weighted arithmetic–geometric operator mean inequalities
Sharp bounds for the arithmetic-geometric mean
Impulse-driven oscillations of the near-Earth’s magnetosphere
Informations-Blatt: ’Wohnregal’, Admiralstr. 16
12. Reciprocity; Gauss' Theorem of the Arithmetic Mean.
On axiomizing and extending the quasi-arithmetic mean
Optimal two-parameter geometric and arithmetic mean bounds for the Sándor–Yang mean
Persistent warming of the ground on the Earth’s Third Pole
Modeling impacts of dust mineralogy on Earth’s Radiation and Climate
An exact additive decomposition of the weighted arithmetic mean