“…For example, a tip-splitting may propagate step-by-step to reduce the spacing after a velocity jump [7] or a local change of spacing induced by an elimination is distributed over neighboring cells by lateral motions [8]. In a large real sample, variations or heterogeneities of spacing do not only come from the extent of the band of stable spacings: they may result from macroscopic defects such as interface curvature [18,19], presence of convection effects [20][21][22][23][24], or presence of several grains associated to different growth directions [25][26][27][28][29]. Moreover, in case of misorientation, the pattern is travelling due to the tilt of the growth direction [29,30], thus inducing a process of source and sink of structures; the source may emit structures of spacing different than the average intra-grain spacing and it was recently demonstrated that in that case, a propagative mechanism of spacing selection then operates on large space and time scales [31].…”