I was to say put it into a colder climate, but I believe the capacity stays the same.
Well where to begin then!
I googled desert cooler and it seems to be a evaporative system.
If so you could increase the airstream with either steering of the existing ventilator or by adding a higher power one. You then also probably need to add surface for the filter system and maybe you need to invest in larger ducting system.
You are right. Working principle of Desert Cooler is known as "EVAPORATIVE COOLING" This principle will work as long as the RELATIVE HUMIDITY is LESS THAN 100% Once 100% is reached - the "EVAPORATIVE COOLING" will cease.
Increase of AIR STREME will not result in the increase of cooling capacity.
The cooling capacity of a Desert Cooler depends upon the RELATIVE HUMIDITY and the WET BULB TEMPERATURE. Lower is the Relative Humidity in the Hot Air, Higher will be the EFFECT of Cooling of the air. If Relative Humidity is 100%, then the Desert Cooler is waste as it cannot work.
In the process of air getting cooled, will pick up moisture from the fil which is wet or moist, and Relative Humidity will increase while reaching cool condition. This principle is known as EVAPORATIVE COOLING.
The Fil Element through which the Hot Air (with Less Relative Humidity) is SUCKED should be always flooded with water and should not become dry, so that the Hot Air Passing through will transfer a part of its heat to the water and and gets cooled by transfering its heat to the water in the fil.
Once RH 100% reached by the incoming air, Cooling Capacity increasing will cease, which is the cut-off point.