Need an estimate of the proportion in each group before and after removal
Population must be closed during the removal season
Example: 2 groups males (m) and females (f)
Pm1 = proportion of males in population before removal (time = 1)
Pm2 = proportion of males in population after removal (time = 2)
m1 = number of males in population before removal
Rm = number of males removed
R = total number of individuals removed (Rm + Rf)
N1 = total number of individuals before removal
As more individuals are caught (and removed) from a population, there are fewer available to be 'caught' and catch-per-effort should decline
If all could be removed, then the expected catch-per-effort would be 0 and the total number caught would equal the initial population size.
The population is closed
Probability of each individual being caught is constant throughout the experiment
All individuals have the same probability of being caught in sample i.
We can estimate N1 by regressing yi and xi
Example: Blue Crabs (From Fischler 1965)