Deterministic Model for Marine Algal Population Density

Abstract

Deterministic model for marine algal population density was presented, including germination, death, propagation, encystment, and external transport processes in semi-enclosed waters, In this model, state variables were population densities of vegetative cells in the medium and cysts in the substratum, control variables being the processes stated above. This model was characterized by a linear ordinary differential equation of second order, when parameters of control variables were density-independent, and a non-linear one, when they were density-dependent. An analytical solution of this differential equation with constant parameters was examplified and applied to the population density of cultured brown algae of Undaria pinnatifida to identify these parameters. This model provided the basic equations that would govern temporal variations in the marine algal population density with the germination process in the boundary layer between the medium and the substratum in the environmental and ecological system. © 1987, The Japanese Society of Fisheries Science. All rights reserved.