If the trap will be shallow, less energy will be required to excite an electron to take part in conduction while more energy will be needed to set an electron free from a deep trap.
Therefore we can say that there is an inverse relation between the depth of a trap and conductivity of the alloy.
In addition of what Dr. Rehman says, deep traps can be recombination centers, i.e. decrease conductivity. Shallow traps can trap carriers and after a while release them again in the band.