An analytical integration method of computing diurnal primary production from steele's light response curve

In recent literature on the photosynthesis-light response in aquatic habitats the mathematical formulation proposed by Steele (1962) is one of the most frequently utilized. Its explicit depth and time integrals are stated but only approximate and/or graphic solutions are attempted for its integratio...

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Bibliographic Details
Published in:Ecological modelling 1980, Vol.8, p.219-232
Main Authors: Engqvist, Anders, Sjöberg, Stig
Format: Article
Language:English
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Summary:In recent literature on the photosynthesis-light response in aquatic habitats the mathematical formulation proposed by Steele (1962) is one of the most frequently utilized. Its explicit depth and time integrals are stated but only approximate and/or graphic solutions are attempted for its integration in time. In this paper an exact analytical solution is presented as well as an efficient algorithm for its numerical evaluation, given an a priori relative error. The method requires assumptions of diurnal constancy for a few parameters. Its applicability, particularly in ecosystems simulations, is discussed in comparison to alternative methods. It is concluded that this method of analytical integration is advantageous in combining high numerical accuracy with comparatively little computational effort.
ISSN:0304-3800
1872-7026
DOI:10.1016/0304-3800(80)90039-3