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| Residence time and exposure time of sinking phytoplankton in the euphotic layer Delhez, E.J.M.; Deleersnijder, E. (2010). Residence time and exposure time of sinking phytoplankton in the euphotic layer. J. Theor. Biol. 262(3): 505-516. http://dx.doi.org/10.1016/j.jtbi.2009.10.004
In: Journal of Theoretical Biology. Elsevier: London,New York,. ISSN 0022-5193; e-ISSN 1095-8541, meer
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| Abstract |
While increasing the diffusion coefficient can induce both a decrease or an increase of the residence time, the exposure time in the euphotic layer increases monotonically with the diffusion coefficient, at least when the settling velocity does not increase with depth. Turbulence is therefore shown to increase the total time spent by phytoplankton cells in the euphotic layer. The generalization of the concept of exposure time to take into account the variations of the light intensity with depth or the functional response of phytoplankton cells to irradiance leads to the definition of the concepts of light exposure and effective light exposure. The former provides a measure of the total light energy received by the cells during their cycling through the water column while the latter diagnose the potential growth rate. The exposure time, the light exposure and the effective light exposure can all be computed as the solution of a differential problem that generalizes the adjoint approach introduced by Delhez et al. (2004) for the residence time. A general analytical solution of the 1D steady-state version of this equation is derived from which the properties of the different diagnostic tools can be obtained. |
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