Electron flow through air occurs due to ion mobility. Air must be ionized before there is any flow. Ionization of air is often initiated by a comic rays or other radioactivity, and/or a strong electric field, which is measured in volts/meter. If the electric field across a gap is enough to ionize air you will get a plasma arc where the current is limited only by the circuit resistance and source voltage.
If the electric field is non-uniform, as it usually is at the tip of a sharp electrode, then the electric field strength may be enough to ionize the air near the tip of the electrode but not to ionize it further away. In this case you get a corona discharge where the ions that are generated at the electrode will move toward the counter electrode or ground due to the electric field. So electron flow is through ion flow. You may have heard of air purifiers called an ion breeze. There actually is a breeze generated by this type of ion flow.
Resistance can be calculated using Ohm's law from the measured current and voltage but this resistance is not a material property.