A common problem in wildlife censuses is that not all animals are detected
during the search Resources may have to be allocated for estimating the pro
bability of detection. The question may arise as to how much effort should
be allocated to estimating detectability as opposed to conducting the censu
s. Researchers planning abundance estimation surveys must sometimes choose
between an intensive search of a small fraction of the study area and a les
s intensive search of a larger area. I consider these problems ti om the st
andpoint of minimizing the variance of the abundance estimator subject to c
ost constraints. I also derive sample size formulas for simple random sampl
ing and optimal allocation for stratified random sampling.