Usually vertical structure of the atmosphere is expressed in pressure scale, in meteorology, than expressing the altitude in distance (kilo meter) measured from the surface of the earth.
My question is why we use pressure scale than distance?
There are many reasons that meteorologists use pressure coordinates (as described above) but it all boils down to making the equations easier. Meteorologists use equations to model the atmosphere. Using pressure coordinates eliminates the density term...an important factor in meteorology but one that can't be measured directly. Pressure coordinates remove density from the equations making them easier to work with and able to use real observations rather than derived ones, which increase error.
And, by making the equations easier, it makes conceptual models easier to use. On the job meteorologists usually don't sit down and calculate the vorticity advection (spin) but they know what it means when they see it on a 500mb map.
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