Taxonomic analysis of marine phytoplankton

Whiten, Bill, McDonald, Barry and Drovandi, Chris (2010). Taxonomic analysis of marine phytoplankton. In: Proceedings of the Mathematics in Industry Study Group 2010. MISG 2010: Mathematics and Statistics in Industry Study Group, Melbourne, VIC, Australia, (M119-M146). 7-12 February, 2010. doi:10.0000/anziamj.v52i0.3391

Author Whiten, Bill
McDonald, Barry
Drovandi, Chris
Title of paper Taxonomic analysis of marine phytoplankton
Conference name MISG 2010: Mathematics and Statistics in Industry Study Group
Conference location Melbourne, VIC, Australia
Conference dates 7-12 February, 2010
Proceedings title Proceedings of the Mathematics in Industry Study Group 2010   Check publisher's open access policy
Journal name ANZIAM Journal   Check publisher's open access policy
Place of Publication Cambridge, United Kingdom
Publisher Cambridge University Press
Publication Year 2010
Sub-type Fully published paper
DOI 10.0000/anziamj.v52i0.3391
Open Access Status DOI
ISSN 1446-1811
Volume 52
Start page M119
End page M146
Total pages 28
Language eng
Formatted Abstract/Summary
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.
Subjects 2601 Mathematics (miscellaneous)
Keyword Taxonomic analysis
Positive matrix factorisation
Q-Index Code E1
Q-Index Status Provisional Code
Institutional Status UQ

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