We consider two capture-recapture models that imply that the legit of
the probability of capture is an additive function of an animal catcha
bility parameter and a parameter reflecting the sampling effort. The m
odels are special cases of the Rasch model, and satisfy the property o
f quasi-symmetry. One model is log-linear and the other is a latent cl
ass model. For the log-linear model, point and interval estimates of t
he population size are easily obtained using standard software, such a
s GLIM.