Modelling and numerical simulations of larval migration of the sole (Soleasolea (L.)) of the Bay of Biscay. Part 1: modelling

A spatio-temporal model describing the dynamics of a population of sole is presented. The model is an extension to a 2D-space structure of a 1D model published by the three first authors. Spatial migration is modelled by an a dvection-diffusion second order operator with constant coefficients. The ph ysical domain is represented by a half-plane with the coast as its boundary . A formula for estimating the proportion of eggs reaching the juvenile sta ge, depending upon climatic, transport, growth and mortality processes, is derived. Numerical results are deferred to elsewhere. (C) 2001 Ifremer/CNRS /IRD/Editions scientifiques et medicales Elsevier SAS.