Clonal growth plants are present in a wide variety of ecosystems around the globe, from terrestrial to marine. Particularly seagrasses, which form the basis of many marine ecosystems, range among the most productive on earth. Clonal growth plants are characterized by a few rules of growth, elongation of the rhizome, branching and death. This three mechanisms along with non-local interaction and non-linearity through death process are the responsible for the formation of large meadows with patterned landscapes. We present some improvements in the modeling of real patterns. Giving an estimation of the interaction range as well as the suitable conditions for fairy rings or soliton formation. The last part is focused on the importance of the branching process, which introduces a neutral mode. We study the effects that it has on the dynamics under the influence of noise for the homogeneous case.