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If so, what's the equation (or series of equations) for this, and what variables do I need to take into account?

EDIT: the planet in my setting is rather "chilly" (around 9.35 Celsius average) with about 20% of the surface covered in water. What I really need is a way to get a a guideline to estimate its size.

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This question asks for hard science. All answers to this question should be backed up by equations, empirical evidence, scientific papers, other citations, etc. Answers that do not satisfy this requirement might be removed. See the tag description for more information.

  • $\begingroup$ Based on your comment on @Twelvth's answer, you should probably add clarifying details to this question. It looks like you're looking for a mathematical function that relates ice coverage on a given planet to its ocean size, mean temperature, and any other relevant quantities. $\endgroup$ – Doug Warren Aug 29 '16 at 17:19
  • $\begingroup$ I don't think the hard science tag can work on this question anyway...if there was, the climate change topic would be far less convoluted $\endgroup$ – Twelfth Aug 29 '16 at 17:25
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You actually asked two or three questions here as 'planet ice caps' includes a few terms:

Sea Ice - When it comes to northern hemisphere, sea ice is a major component of the discussion.

Glaciers / Ice Sheets - Mostly a discussion involving Greenland and Antarctic, but involves northern Canada and Russia as well.

Perma-Frost. Frozen bogs/marsh/tundra

http://nsidc.org/data National snow and ice data center is a good source of information on this. In particular, http://nsidc.org/data/tools/analysis-and-imaging

NOAA is another good source to use for this discussion.

enter image description here http://www.natice.noaa.gov/ims/images/ims_data.jpg

Google searching NOAA ice cap coverage and similar terms will find these results.

Not sure if you will find equations however...these are measurements and observations, not hard formulas by any means.

Edit in from comments:

Ah, I missed the mark with my answer then, I figured you were talking earth sea ice over time, not a fictional planet.

I don't think you'll find any formulas along these lines...remember something as complex as the el nino / la nina cycle that we understand so little about (it's normally observed by temps in the southern pacific) has a big impact on the sea ice in the northern hemisphere. Solar cycles also play a role here, and we hardly understand those. This doesn't get into England, which by latitude should be iced over much of the year, but Thermohaline circulation keeps it relatively warm. How can any formula manage to take into account something as complex as that?

With a hard science tag on the question, there really is no answer that can be given as we understand so little on the subject...if you do find a formula on ice coverage based on temp and water coverage, I'm pretty sure randomly rolling dice and guessing is about as accurate.

My best advice I can give here is to simply say it can be anything you want as a planets climate is ever changing and never a set thing. Remember, you are taking a snapshot of a worlds climate at a particular point in time...it could have been just entering a cooling cycle and hit those average temperatures, but still be relatively ice free as it's just entering the cooling cycle. It could be just ending the cooling cycle and the ice caps could nearly reach the equators. Where it is along this cycle is really your choice as it's your snapshot of the world.

With only 20% water coverage, your planets temperatures are going to be relatively susceptible to rapid changes over a few years...this is really whatever you want it to be.

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  • $\begingroup$ Well, with my setting, the planet is rather "chilly" (around 9.35 Celsius average) with about 20% of the surface covered in water. What I really need is a way to get a a guideline to estimate its size. $\endgroup$ – Alexader Ferguson Aug 29 '16 at 17:00
  • $\begingroup$ Eddited in a few comments to you...the simple answer to your question is no...there is no hard science formulas that involve ice cap coverage $\endgroup$ – Twelfth Aug 29 '16 at 17:37

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