# Energy Balance Model with Greenhouse Parameterization

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.

A simple energy balance model determines the surface temperature of the Earth by balancing the incoming solar energy flux with the outgoing blackbody energy flux . The greenhouse effect is parameterized by a single number, , which reduces the outgoing energy flux by the factor . The greenhouse parameter includes the direct and indirect effects of all of the processes that result from changing greenhouse gas concentrations in the atmosphere.

Contributed by: Jeffrey B. Weiss (March 2011)

Open content licensed under CC BY-NC-SA

## Snapshots

## Details

The incoming solar energy flux is , where is the solar constant, m is the radius of the Earth, and is the albedo of the Earth. The outgoing energy flux is , where is the greenhouse parameter and is the Stefan–Boltzmann constant. The equilibrium temperature is the temperature at which .

References:

M. I. Budyko, "The Effect of Solar Radiation Variations on the Climate of the Earth", *Tellus* 21, 1969 pp. 611–619.

L. R. Kump, J. F. Kasting, and R. G. Crane, *The Earth System*, Upper Saddle River, New Jersey: Pearson Education, 2004.

## Permanent Citation