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Mathematical description of vertical algal accessory pigment distributions in oceans - a brief presentation [commun.]

Majchrowski R., Ostrowska M.

Oceanologia

2009

No. 51 (4)

561-580

A straightforward mathematical expression for describing the vertical distributions of algal accessory pigments in oceans is presented. To this end ca 1500 empirical datasets of accessory pigment depth profiles gathered during some 200 research cruises in different oceanic regions were analysed. These data were retrieved from the bio-optical databases of SeaBASS and U.S. JGOFS published on the Internet. The statistical relationships were analysed between the concentrations of accessory pigments and the trophic indices of waters, as measured by the surface concentrations of chlorophyll a and the optical depths in different oceanic regions. A mathematical expression was established and formulas based on it were found, approximating the relations between the vertical distributions of accessory pigments and the chlorophyll a concentration. These formulas can be used to model the species composition of algae in different parts of the ocean and in remote sensing algorithms.

Remote sensing of vertical phytoplankton pigment distributions in the Baltic: new mathematical expressions. Part 2: Accessory pigment distribution

Majchrowski R., Stoń-Egiert J., Ostrowska M., Woźniak B., Ficek D., Lednicka B., Dera J.

Oceanologia

2007

No. 49 (4)

491-511

This is the second in a series of articles, the aim of which is to derive mathematical expressions describing the vertical distributions of the concentrations of different groups of phytoplankton pigments; these expressions are necessary in the algorithms for the remote sensing of the marine ecosystem. It presents formulas for the vertical profiles of the following groups of accessory phytoplankton pigments: chlorophylls b, chlorophylls c, phycobilins, photosynthetic carotenoids and photoprotecting carotenoids, all for the uppermost layer of water in the Baltic Sea with an optical depth of ? ? 5. The mathematical expressions for the first four of these five groups of pigments, classified as photosynthetic pigments, enable their concentrations to be estimated at different optical depths in the sea from known surface concentrations of chlorophyll a. The precision of these estimates is characterised by the following relative statistical errors according to logarithmic statistics ?_: approximately 44% for chlorophyll b, approx. 39% for chlorophyll c, approx. 43% for phycobilins and approx. 45% for photosynthetic carotenoids. On the other hand, the mathematical expressions describing the vertical distributions of photoprotecting carotenoid concentrations enable these to be estimated at different depths in the sea also from known surface concentrations of chlorophyll a, but additionally from known values of the irradiance in the PAR spectral range at the sea surface, with a statistical error ?_ of approximately 42%.