Application of the Theory of Optimal Experimental Design
to Remote Sensing of Phytoplankton and Other
Optically Active Substances in the Ocean

I. V. Zolotukhin and I. M. Levin

Shirshov Institute of Oceanology, Russian Academy of Sciences, St. Petersburg Branch,
Tavricheskaya ul. 11, St. Petersburg, 193015 Russia

Received July 16, 1998; in final form, February 5, 1999

Abstract—The mathematical theory of design of optical experiments developed by V.P. Kozlov is applied to
an optimal design of an experiment on remote sensing of the concentration of optically active substances in the
ocean. An experimental design includes the number of spectral channels of the optical receiver, their positions
in the spectrum, and the widths of spectral windows in each channel. Algorithms of searching for optimal chan-
nels and retrieving substance concentrations from measurements of the ocean radiance in optimal channels are
presented. The implementation of such algorithms requires the statistical relationship between the ocean radi-
ance spectrum and the concentration of the substance in question. This relationship is obtained by mathematical
modeling. An optimal design is calculated for remote sensing of chlorophyll concentration in the world ocean
on board ships or low-flying aircraft. It is shown that the accuracy of concentration retrieval in the optimal
experiment is significantly higher than that in algorithms based on color-index measurements and factor anal-
ysis. The robustness of the optimal design to changes in experimental conditions and models used for optical
properties of water is tested.


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