Planted shelterbelts are commonly used to reduce wind speed and protect structures and infrastructures. The shape, the characteristics and the distribution of the trees forming the barrier are key parameters to determine the efficiency of the shelterbelt in terms of wind reduction. The mathematical modeling of the above phenomena is a challenging task, because of the interaction between the multiple components of wind and vegetation, the description of the trees as porous media in which the wind can flow through, the mechanical interaction between the wind and the trees, the finite resistance of the trees to loads and stresses. Moreover, the problem results being highly multi-scale: from km-long line-like infrastructures to mm-sized petioles and leaves through the turbulent wind energy cascade.