A matrix population model is a convenient tool for summarizing per capita survival and reproduction rates (collectively vital rates) of a population and can be used for calculating an asymptotic finite population growth rate (λ) and generation time. These two pieces of information can be used for determining the status of a threatened species. The use of stage-structured population models has i...

A natural extension of age structured Leslie matrix models is to replace age classes with stage classes and to assume that, in each time period, the transition from one stage class to the next is incomplete; that is, diagonal terms appear in the transition matrix. This approach is particularly useful in resource systems where size is more easily measured than age. In this linear setting, the pr...

Sufficient conditions for the invariance of evolution problems governed by perturbations (possibly nonlinear) m-accretive operators are provided. The with respect to sublevel sets a constraining functional expressed in terms Dini derivative that functional, outside considered set directions determined operator. An approach non-reflexive Banach spaces is developed and some result improving recen...

In discrete-time age-structured population models, a periodic environment is not always deleterious. We show that it is possible to have the average of the age class populations over an attracting cycle (in a periodic environment) not less than the average of the carrying capacities (in a corresponding constant environment). In our age-structured model, a periodic environment does not increase ...

Coalescent theory is routinely used to estimate past population dynamics and demographic parameters from genealogies. While early work in coalescent theory only considered simple demographic models, advances in theory have allowed for increasingly complex demographic scenarios to be considered. The success of this approach has lead to coalescent-based inference methods being applied to populati...

13 Structured population models, particularly sizeor age-structured, have a long history of 14 informing conservation and natural resource management. While size is often easier to measure 15 than age, and is the focus of many management strategies, age-structure can have important 16 effects on population dynamics that are not captured in size-only models. However, relatively few 17 studies ha...

Structured population dynamics deals with the time evolution of the population composition with respect to the state of the individuals. Typically, the structuring variables are age (with different interpretations, e.g. chronological or time since infection or time since cell division), size, phenotype, maturity level, space, etc. The simplest structure is given by the age of the individuals si...