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Early life stages in fish are often modeled by individual-based models. The transport ofindividuals with ocean currents is addressed through particle-tracking techniques, which typicallysimulate vertical turbulent dispersal with random walk schemes. These schemes, however, performpoorly when the eddy diffusivity displays steep gradients, as in stratified water columns, and near thesurface and sea floor. In the present paper, we advocate the use of a binned random walk, whichkeeps track, not of the exact vertical position of a tracer particle, but only of the layer in which theparticle resides. The binned random walk is derived by discretizing the Eulerian equations governingthe vertical dispersal with the finite-volume method. The scheme is easily implemented, evenwhen layers are non-uniform and turbulence statistics originate from a circulation model, and, byconstruction, always satisfies the well-mixed criterion. We demonstrate the scheme and discuss itsapplicability

Simulating vertical turbulent dispersal with finite volumes and binned random walks