Evaluation of the wave attenuation function of a coastal black pine Pinus thunbergii forest using the individual-based dynamic vegetation model SEIB-DGVM

The wave attenuation function of a Japanese black pine forest was evaluated based on its growth at different initial planting densities (P _ini) using the spatially explicit, individual-based, dynamic global vegetation model. The forest dynamics were simulated for 150 years utilizing datasets for tree density and stem diameter at different stand ages obtained in the field. To elucidate the ability of the forest to reduce the wave height $ \eta_{t} $ (m), a long linear wave that propagates on dry ground was assumed. The attenuation of $ \eta_{t} $ (m) was expressed as follows: $ \eta_{t} = \eta_{t0} \exp ( - k_{\text{i}} x) $ , where $ \eta_{t0} $ , x, and k _i are the initial wave height (m), the distance (m), and the wave attenuation coefficient (m^?1), respectively. The tree destruction caused by the waves was considered in order to estimate k _i. The model suggested that there was a peak age that maximized k _i and was dependent on $ \eta_{t} $ , and that the maximum k _i attained decreased with increasing $ \eta_{t} $ . When P _ini was varied widely from 0.5 to 4 m^?2, the maximum k _i for a relatively low wave height (≤3 m) changed dramatically. For example, when $ \eta_{t} = 2{\text{ m}},$ the maximum k _i ranged from 0.008 to 0.031 m^?1, depending on P _ini. Thus, utilizing a relatively low P _ini would be an efficient way of quickly creating a forest capable of sufficient wave attenuation in areas where a relatively high wave height (≥4 m) is expected. It was concluded that regular harvesting and planting would be required to realize the full potential of the coastal forests to attenuate waves, and that tailoring P _ini is one of the management options that could be used to establish a wave prevention forest.