Introduction to modeling fish migratory behavior

TL;DRAbstract

A few of the basic modeling techniques appropriate to fish migration are reviewed. The biased lattice random walk model and the advection-diffusion model are discussed and illustrated in some depth because these seem to be both practical to use and capable of at least partially imitating the great complexity of real environments. It appears, from our comparisons of these two types of models, that advection-diffusion models may suffer numerical dispersion problems unless care is taken in choosing small enough sizes for the spatial compartments. This problem with advection-diffuison models, plus the greater conceptual simplicity of biased random walk models, may make the latter more attractive to most modelers of migration.

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