Interpretation of trends in disease rates using conventional age-perio
d-cohort analyses is made difficult by the lack of a unique set of par
ameters specifying any given model. Because of difficulties inherent i
n age-period-cohort models, neither the magnitude nor the direction of
a linear trend in birth cohort effects or calendar period effects can
be determined unambiguously. This leads to considerable uncertainty i
n making inferences regarding disease etiology based on birth cohort o
r calendar period trends. In this paper, the authors demonstrate that
changes in the direction or magnitude of long term trends can be ident
ified unequivocally in age-period-cohort analyses, and they provide pa
rametric methods for evaluating such changes in trend within the usual
Poisson regression framework. Such changes can have important implica
tions for disease etiology. This is demonstrated in applications of th
e proposed methods to the investigation of birth cohort trends in fema
le breast cancer mortality rates obtained from the National Center for
Health Statistics for the United States (1970-1989) and from the Worl
d Health Organization for Japan (1955-1979).