# What is the explanation of using pressure units (hPa) to express height when dealing with wind speeds?

I am trying to understand how prevailing winds and jet stream currents are formed and how they are varying in speed and direction.

When looking at different wind speeds at different altitudes on earth.nullschool.net I noticed that the height is expressed in hectoPascals (10hPa, 70hPa, 250hPa, 1000hPa) instead of feets or meters .

What is the explanation of choosing pressure for expresing height instead of another unit of length ?

• e-education.psu.edu/meteo300/node/733. Pressure levels are a much better representation of the state of the atmosphere than absolute height. – user20217 May 20 at 20:19
• Also, the atmosphere is higher at the equator than at the poles, while the pressure range is about equal - hence absolute height above sea level (in e.g. m) is not as good a measurement unit as pressure. – Erik Jun 2 at 10:15

There are several reasons. From the theoretical point of view it is beneficial to use isobaric coordinates, due to the vanishing density in the equations of motion. While in cartesian coordinates the wind is determined by the pressure gradient in isobaric coordinates the wind is determined by the geopotential gradient. The geopotential is defined by $$\Phi = gz$$. In the hydrostatic relation $$p = \rho g z$$ we can relpace $$gz = \Phi$$ and therefore any term containing $$p/\rho = \Phi$$. The geostrophic wind relation for example differ as follows:
Pressure coordinates: $$\vec{V_g} = \frac{1}{f} \vec{k} \times \nabla \Phi$$
Cartesian coordinates: $$\vec{V_g} = \frac{1}{\rho f} \vec{k} \times \nabla p$$