Interesting that in Al Gore's "An Inconvenient Truth" he floated (

pun intended) the hypothesis that the melting of floating ice did not affect the water level (he showed a photograph of ice in a glass before and after melting and the water level).
I know there was a study a couple of years ago which modelled the impact on the North Atlantic Drift by the introduction of vast quantities of fresh water through melting ice and how that affected densities and temperatures. But it appears that this model may not be as valid as first thought. A
new study (reported in the New Scientist) suggests the change in the Atlantic currents is far quicker than first thought and the original study may have inadvertently drawn its conclusions from data which is within normal variability.
However back to MR Gore's hypothesis for a moment. For the scientifically minded (well mathematically), I have been pondering for years about the real world impact of a less dense (floating) object melting. Archimedes principal states that a floating body displaces water equivalent to its own mass. But as ice is fresh water and is less dense that sea water, floating ice displaces LESS volume of sea water than the volume of water in the floating ice. So to my mind the water level should rise by the ratio of relative densities of fresh water to salt water.
Oceans at the surface have a density of about
1027 kg/m3, and fresh water 1000 kg/m3. So in my books, the % increase should be (1027 - 1000)/1027*100 or
2.6% Not the: "water level does not change" stance of Al Gore.
And in case you think I am being too simplistic, then you are absolutely correct. There are many more factors at work, such as the relative temparatures and changes in density which occur at the surface.
So, it was a pleasant surprise to me to find that a couple of scientific bods had published a paper and had been peer reviewed, which showed the impact of melting ice caps (floating variety) on the sea level. You can read it
here.
After pages and pages of calculations, assumptions, neat diagrams and not too difficult maths, they concluded that the metling of floating ice would raise the water level by an average of..................
2.6%
They should have come to me first I would have saved them a lot of time!!
Enjoy the read.