Abstract
In this paper, we use a finitestate continuoustime Markov chain with one absorbing state to model an individual’s lifetime. Under this model, the time of death follows a phasetype distribution, and the transient states of the Markov chain are known as phases. We then attempt to provide an answer to the simple question “What is the conditional age distribution of the individual, given its current phase”? We show that the answer depends on how we interpret the question, and in particular, on the phase observation scheme under consideration. We then apply our results to the computation of the age pyramid for the endangered Chatham Island black robin Petroica traversi during the monitoring period 2007–2014.
Original language  English 

Pages (fromto)  13191347 
Number of pages  29 
Journal  Journal of Mathematical Biology 
Volume  75 
Issue number  67 
Early online date  03 Apr 2017 
DOIs  
Publication status  Published  Dec 2017 
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Impacts

Recovery of Chatham Island Black Robin
Melanie Massaro (Creator), Rachel Whitsed (Creator), Andrew Hall (Creator), James V. Briskie (Creator), Marie L. Hale (Creator), Raazesh Sainudiin (Creator) & Sophie Hautphenne (Creator)
Impact: Environmental Impact