On parameter estimation in population models II: multi-dimensional processes and transient dynamics

Theoretical Population Biology
J V RossP K Pollett

Abstract

Recently, a computationally-efficient method was presented for calibrating a wide-class of Markov processes from discrete-sampled abundance data. The method was illustrated with respect to one-dimensional processes and required the assumption of stationarity. Here we demonstrate that the approach may be directly extended to multi-dimensional processes, and two analogous computationally-efficient methods for non-stationary processes are developed. These methods are illustrated with respect to disease and population models, including application to infectious count data from an outbreak of "Russian influenza" (A/USSR/1977 H1N1) in an educational institution. The methodology is also shown to provide an efficient, simple and yet rigorous approach to calibrating disease processes with gamma-distributed infectious period.

References

Aug 1, 2002·Journal of Mathematical Biology·M O'Callaghan, A G Murray
Apr 1, 2004·Biostatistics·Ben Cooper, Marc Lipsitch
Mar 8, 2006·Journal of Mathematical Biology·J V Ross
Sep 21, 2006·Theoretical Population Biology·J V RossP K Pollett
Nov 24, 2006·Proceedings of the National Academy of Sciences of the United States of America·E L IonidesA A King
Dec 1, 2007·Biometrics·Alex R CookChristopher A Gilligan
Jun 21, 2008·Biometrics·Ken B NewmanStephen T Buckland

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Citations

Feb 19, 2010·Journal of the Royal Society, Interface·Andrew J Black, Alan J McKane
Mar 23, 2010·PloS One·Joshua V RossMatt J Keeling
Mar 13, 2012·Trends in Ecology & Evolution·Andrew J Black, Alan J McKane
Nov 26, 2009·Mathematical Biosciences·P K PollettJ V Ross
Apr 7, 2009·Theoretical Population Biology·M J Keeling, J V Ross
Dec 14, 2011·Biometrics·Christian H Weiss, Philip K Pollett
Oct 25, 2011·Theoretical Population Biology·J R Artalejo, M J Lopez-Herrero
Jun 7, 2014·Bio Systems·Jonathan HeydariDarren J Wilkinson
Mar 29, 2014·Journal of Mathematical Biology·Romain GuyElisabeta Vergu

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