Taxonomic analysis of marine phytoplankton
Whiten, Bill, McDonald, Barry, & Drovandi, Christopher C. (2010) Taxonomic analysis of marine phytoplankton. In Shephard, John, Stacey, Andrew, & Roberts, Anthony (Eds.) Proceedings of the 2010 Mathematics and Statistics in Industry Study Group, MISG-2010, Australian Mathematical Society, RMIT University, Melbourne, VIC, M119-M146.
Samples of sea water contain phytoplankton taxa in varying amounts, and marine scientists are interested in the relative abundance of each taxa. Their relative biomass can be ascertained indirectly by measuring the quantity of various pigments using high performance liquid chromatography. However, the conversion from pigment to taxa is mathematically non trivial as it is a positive matrix factorisation problem where both matrices are unknown beyond the level of initial estimates. The prior information on the pigment to taxa conversion matrix is used to give the problem a unique solution. An iteration of two non-negative least squares algorithms gives satisfactory results. Some sample analysis of data indicates prospects for this type of analysis. An alternative more computationally intensive approach using Bayesian methods is discussed.
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|Item Type:||Conference Paper|
|Divisions:||Current > QUT Faculties and Divisions > Science & Engineering Faculty|
|Copyright Owner:||Copyright 2010 Australian Mathematical Society|
|Deposited On:||23 Mar 2014 22:50|
|Last Modified:||10 Jun 2014 05:52|
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