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PARAMETER ESTIMATION FOR STAGE-DURATION MODELS

  • HOA THI THU PHAM (a1)
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© 2019 Australian Mathematical Publishing Association Inc. 
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Thesis submitted to Flinders University in January 2017; degree approved on 29 May 2017; principal supervisor Jerzy Filar, co-supervisors Alan Branford, Murk Bottema and Darfiana Nur.

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[1] Caswell, H., Matrix Population Models: Construction, Analysis and Interpretation, 2nd edn (Oxford University Press, Oxford, 2001).
[2] De Valpine, P., Scranton, K., Knape, J., Ram, K. and Mills, N. J., ‘The importance of individual developmental variation in stage structured population models’, Ecol. Lett. 17(8) (2014), 1026–1038.
[3] Hoeting, J., Tweedie, R. and Olver, C., ‘Transform estimation of parameters for stage-frequency data’, J. Amer. Statist. Assoc. 98 (2003), 503–514.
[4] Hopkins, C., Subramanian, G. and Stallard, H., ‘The development of Hymenolepis diminuata in primary and secondary infections in mice’, Parasitology 64(3) (1972), 401–412.
[5] Keyfitz, N. and Caswell, H., Applied Mathematical Demography (Springer, New York, 2005).
[6] Knape, J. and De Valpine, P., ‘Monte Carlo estimation of stage structured development from cohort data’, Ecology 97(4) (2016), 992–1002.
[7] Manly, B., Stage-structured Populations: Sampling, Analysis and Simulation (Chapman and Hall, New York, 1990).
[8] Read, K. and Ashford, J., ‘A system of models for the life cycle of a biological organism’, Biometrika 55(1) (1968), 211–221.
[9] Schuh, H. and Tweedie, R., ‘Parameter estimation using transform estimation in time-evolving models’, Math. Biosci. 45(1) (1979), 37–67.
[10] Young, R., Anderson, N., Overend, D., Tweedie, R., Malafant, K. and Preston, G., ‘The effect of temperature on times to hatching of eggs of the nematode Ostertagia circumcincta’, Parasitology 81(3) (1980), 477–491.
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Bulletin of the Australian Mathematical Society
  • ISSN: 0004-9727
  • EISSN: 1755-1633
  • URL: /core/journals/bulletin-of-the-australian-mathematical-society
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