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Vegetation patterns in marine ecosystems have been observed in different regions around the globe for different seagrass species. Posidonia oceanica in the Balearic Islands forms one of the most impressive examples of this self-organization phenomenon. The growth of these marine plants is an important problem to understand, both from the point of view of modelling, and their social and biological impact. Although the mechanisms of growth are well known, the modelization of the patterns is not absent of difficulties. In this context we propose a simplified model describing clonal growth and we discuss its advantages and limitations for different applications. On the one hand, we study vegetation front dynamics, while on the other side we propose a mechanism responsible for long range competition, a necessary ingredient to produce pattern formation.
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