Substantial regularities characterize the transition to stability that follows a shift from one set of vital rates to another. The new vital, rates interact with the population's initial age composition and generate birth waves whose amplitude and attenuation depend on the ratio of ultimate to...

Stable population models, based on fertility and mortality rates that do not change over time, are too unrealistic and inflexible to capture the dynamics of many observed populations. Dynamic models, which allow vital rates to change over time, are needed to systematically analyze such...

This paper advances a new approach that provides closed form expressions for the birth trajectory produced by a regime of changing vital rates. An exponentiated sinusoidal net maternity function is considered in detail, as populations with cyclically varying net maternity are of particular...

Dynamic multistate models can show realistic population dynamics over time, model complex cycles, and encompass the life history of a cohort. This paper uses a recently developed approach to obtain the analytic solution of a time-dependent multidimensional differential equation. The illustrative...