Return to Earth: A New Mathematical Model of the Earth’s Climate

Abstract

In this paper we use the inverse modelling technique, first applied to the atmosphere of the planet Venus, to demonstrate that the process of convective atmospheric mass motion can be invoked to explain the greenhouse effect of the Earth's climate. We propose that the atmospheric cell is the fundamental element of climate, and have developed an alternative climate model based on this process of atmospheric circulation for a hypothetical tidally locked world. The concept of climate derives from studies by the Greek philosopher Aristotle, who identified the three main climatic zones known to the ancient world; the equatorial torrid zone, the polar frigid zone and in between the favoured temperate zone of the Mediterranean world. Aristotle's three climatic zones can be directly linked to the three main atmospheric circulation cells that we now recognise within the Earth's atmosphere. These three cells are the Hadley cell, the Polar cell and the Ferrel cell. Based on the clear association between the traditional Greek concept of climate and the modern meteorological concept of atmospheric circulation cells, we propose that climate be defined as the presence and action of a particular circulation cell type within a given planetary latitudinal zone. We discuss how with knowledge of three simple meteorological parameters of tropopause elevation, tropopause temperature and lapse rate for each atmospheric cell, combined with the measurement of the area of that cell, the average global surface temperature can be calculated. By means of a mathematical model, the Dynamic-Atmosphere Energy-Transport (DAET) climate model we apply an individual climate analysis to each of the three atmospheric cells, and next generate a parallel composite model of the Earth's planetary climate using these data. We apply the concepts and techniques of the adiabatic version of the DAET climate model, and show how this model can be compared with the published NASA image of the Earth's outgoing long-wave radiation recorded by the CERES (Clouds and the Earth's Radiant Energy System) Instrument onboard the NASA Aqua Satellite. Our analysis of the CERES image suggests that the Tibetan plateau forms a permanent geological thermal radiant leak point in the Earth's atmosphere. We also compare the observed temperature found at the maximum elevation of the Antarctic ice cap with the freezing point of super-cooled water, and suggest that there is therefore a temperature controlled and latent heat related upper limit to the vertical development of a continental icecap.

The Application of the Dynamic Atmosphere Energy Transport Climate Model (DAET) to Earth's Semi-Opaque Troposphere

“…The Adiabatic DAET Opacity Model presented here is a development of the original Noonworld modelling concept [4] and contains three fundamental changes from the previous DAET modelling study of the Earth [6]. The first change corrects a conceptual error in the DAET model design whereby previously the global average air temperature (GAT) was calculated by averaging the air temperature of the two sides of the model.…”

“…The Dynamic-Atmosphere Energy-Transport (DAET) climate model has as its fundamental premise the stipulation that solar energy is only ever captured by the lit hemisphere of a planetary globe, and that all energy transfer between the lit and unlit dark surface is mediated by the dynamic meteorological processes of energy retention and mass-motion within the body of the atmosphere. In order to validate the use of this model to the semi-opaque atmosphere of the Earth, previous work was reviewed [6] and these parameters (Table 3) were used as the basis for the comparison with the parameters shown in Figure 1, as published in the canonical paper of Kiehl and Trenberth [1]. When applied in its diabatic form and using Earth insolation parameters the DAET model has a lit hemisphere surface thermal air flux of 313.33 W m -2 and a dark hemisphere surface thermal air flux of 156.67 W m -2 .…”

An Analysis of the Earth’s Energy Budget

“…It is therefore impossible for the Earth to experience a runaway greenhouse gas effect due to changes in the atmospheric thermal radiant opacity if the total mass of the atmosphere does not increase [3].…”

“…Both of these diagrams when combined provide detailed energy budget information for the Earth's climate; however, their parameters are recorded as percentages of solar illumination at the top of the atmosphere (TOA). Neither diagram published by OK-First records the actual values of solar power intensity, nor is it demonstrated how they can be used to estimate the global average temperature for the surface of the Earth, something that has been shown by us to be achievable using basic climate budget data [3].…”

“…For a resolution of this paradox we propose the adoption of a new climate model, the Dynamic Atmosphere Energy Transport (DAET) model, that is based on meteorological principles and is applicable to all solar illuminated terrestrial type astronomic bodies that possess a dense semi-opaque thermally radiant atmosphere [3,17,18].…”