Um, graph much? There are two variables for the graph itself, and many more variables in the compilation of the data used to make that graph.
And when it comes to resolution of sea level, if you'd really read the article I linked to, you'd have found out how they're able to do that. It's not easy to do, but with the right equipment and the right amount of coverage, and with using the right algorithms in determining the levels, YES, they can determine the change of 3mm per year.
This is called 'science' - and it's pretty math-heavy stuff. These days, conservatives don't seem to like science much...'cause it keeps saying things that liberals have been saying for years. But then, reality does have that hated liberal bias....
On the graph the different emission scenarios are the primary variables.
The noise around each of the 4 scenarios represent the uncertainty.
The graph itself is based on the the doubling sensitivity of CO2 (without a temporal component)
The temporal component is applied by them predicting how fast the CO2 level will increase.
So the scenario curves are based on IF the sensitivity of CO2 is as high as they think it is,
and IF CO2 will grow like they think they will grow.
The first IF is already broken, CO2 sensitivity is not responding like they predicted.
The second IF, is based on the availability of cheap, easy oil, which is running out.
As to sea level, a gauge in a stilling pool can indeed measure mm/yr accuracy,
The Satellites only have a measurement accuracy of 3.3 cm (yes again 33 mm),
with the hope of achieving 2.3 cm.
https://directory.eoportal.org/web/eoportal/satellite-missions/j/jason-2
The mission objectives call for the provision of the same measurement accuracy of Jason (3.3 cm)
with a goal of achieving 2.5 cm,
Maybe the goal of 2.5 cm has some meaning since they are using 13.575 GHz
as their highest sample frequency.
Let's see, the speed of light 3 X 10^8/13.575 X10^9=.022 meters or 2.2 cm.
This tells us the Poseidon-3 cannot detect the phase of the returning pulse, so has an absolute
accuracy limit just above 1 wavelength.
You can average millions of samples, the accuracy will not improve.
You mistake the type of conservative I am, I like Science and the Scientific method.
The Scientific Method embraces skepticism, has testable theories, and an invalidation criteria.
What goes for Science in AGW, shouts down skepticism, does not have any testable
theories, or an invalidation criteria.
I think this concept of AGW is damaging the reputation of Science.