What is Earth’s surface emissivity?

Emissivity is an important factor in all calculations involving Stefan-Boltzmann’s Law:

q = εσT⁴

where q is the flux in W/m²

Most of the time in climate science the emissivity (ε) is presumed to be 1.

Scientist Roy Spencer likes to use ε=0.98 (link):

… a broadband IR emissivity of 0.98 …”

Where does this number come from? It comes from a very narrow wavelength range, typically 8-14 microns. Not “broadband” at all.

When other scientists wish to specify an emissivity factor, they will choose a value between 0.95 and 1, also based on a narrow band range.

This is all wrong! We actually do have a very good broad measure of emissivity covering 5-200 microns (over 99% of Earth’s emission)! This data was collected by NASA’s ISCCP Project, and is available here:


The relevant file is called D1AVGANN__BBEMIS. It consists of 6530 equal-area sections of the earth, thus we can just average all the numbers in the file.

Here is a one-liner to get the answer we’re looking for:

wget -qO- https://isccp.giss.nasa.gov/pub/data/surface/D1AVGANN__BBEMIS | od -An -tf4 -w4 --endian=big | awk '!/\*/{S+=$1;N++}END{print S/N}'

And the answer is: 0.93643

This data was collected from 1983 to 2004, so one would think most climate scientists would just use the right number. But of course we are assuming they are interested in science.


Published by Zoe Phin


9 thoughts on “What is Earth’s surface emissivity?

  1. It is probably not quite true! I made a mistake with the application of Fresnel equations by overlooking the extinction coefficient. It does not make any difference in the SW range (which is why it passed my “double check”), but it does so in the LW range. With this correction I get 0.962 for emissivity to the normal, and 0.908 for hemispheric emissivity (of water!). That result also coincides with the text book of H. D. Baehr, K. Stephan which names 0.91. Even though it is only true for water, global surface emissivity will not deviate a lot from it for obvious reasons.

    Also I would not put too much faith into the NASA data. Satellites are just no appropriate mean to measure surface emissivity, as they are restricted both by wavelength and observation angle. For instance we have a similar issue with snow as with water, which is only a good emitter at a normal angle, within a certain wavelength. At least NASA does not pretend to measure emissivity of water, but they do so with snow.


Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out /  Change )

Google photo

You are commenting using your Google account. Log Out /  Change )

Twitter picture

You are commenting using your Twitter account. Log Out /  Change )

Facebook photo

You are commenting using your Facebook account. Log Out /  Change )

Connecting to %s

%d bloggers like this: