Gil, M. et al. (2019). Dynamics of fitness distributions in the presence of a phenotypic optimum: an integro-differential approach*This work has been carried out in the framework of Archimède Labex of Aix-Marseille University. The project leading to this publication has received funding from Excellence Initiative of Aix-Marseille University—A*MIDEX, a French 'Investissements d'Avenir' programme, from the European Research Council under the European Union's Seventh Framework Programme (FP/2007-2013) ERC Grant Agreement n. 321186—ReaDi—Reaction-Diffusion Equations, Propagation and Modelling and from the ANR NONLOCAL project (ANR-14-CE25-0013).. Nonlinearity. pp. 3485-3522. [Online].