Line transect, point count, and mark-recapture are three common population counting methods. Line transect involves walking or flying along a straight transect line and recording sightings and their perpendicular distances. Point count involves recording all birds seen and heard from count stations for a set time period. Mark-recapture involves capturing and marking a sample of the population, releasing them, then capturing another sample to estimate the total population size based on the proportion that were marked. Each method makes assumptions about animal behavior and has advantages such as being economical or applicable throughout the year as well as disadvantages like missing rare species.