Most change-in-ratio (CIR) methods for estimating fish and wildlife po
pulation sizes have been based only on assumptions about how encounter
probabilities vary among population subclasses. When information on s
ampling effort is available, it is also possible to derive CIR estimat
ors based on assumptions about how encounter probabilities vary over t
ime. This paper presents a generalization of previous CIR models that
allows explicit consideration of a range of assumptions about the vari
ation of encounter probabilities among subclasses and over time. Expli
cit estimators are derived under this model for specific sets of assum
ptions about the encounter probabilities. Numerical methods are presen
ted for obtaining estimators under the full range of possible assumpti
ons. Likelihood ratio tests for these assumptions are described. Empha
sis is on obtaining estimators based on assumptions about variation of
encounter probabilities over time.