Abstract: As climate change intensifies and the biodiversity crisis continues to deepen, forest ecosystems are facing unprecedented degradation pressure. As a core method of ecological restoration, forest stand replanting has a profound impact on the stability of global ecosystems and the protection of biodiversity. Traditional forest stand replanting work mainly focuses on the restoration of forest area, but often ignores the maintenance of forest ecosystem stability and the protection of biodiversity. In addition, scientific exploration is also extremely limited in the study of forest replanting sites. In view of this, this paper proposes a stand replanting method based on Delaunay triangulation algorithm and uniformity theory. This method uses the Delaunay triangulation algorithm to divide the forest stand into a Delaunay triangular network. In the Delaunay triangular network, only part or all of the acute triangles are replanted. Then which acute triangles are replanted? According to the requirements of the area of the acute triangles in the Delaunay triangular network and the density of stand replanting, the acute triangles that need to be replanted are determined, and the incenter of the acute triangle that needs to be replanted is used as the replanting point for replanting. After completing the first replanting of the Delaunay triangular net, if the density of replanting density of the forest stand is met, the replanting will be completed. Otherwise, the Delaunay triangulation algorithm is used again to divide the forest stand after the last replantation into a new Delaunay triangulation network, and the above replantation operation is performed again until the density requirement of forest stand replantation is met, and the forest stand replantation is completed. Regarding the replanting method of this forest stand, we conducted a case verification and used the uniformity theory to determine the forest stand pattern type after replanting. The forest stand pattern using the incenter of the acute triangle in the Delaunay triangular network as the replanting point, the proportion of random pattern types was significantly higher than that of traditional replanting methods such as the circumcenter and the barycenter. It fully proves that this forest stand replanting method can not only achieve ecological restoration, but also accurately determine the replanting points of forest trees. This in turn significantly improves the stability of the forest ecosystem and ensures the sustainability of biodiversity.

Key words: Delaunay triangulation algorithm, Uniformity theory, Forest stand, Forest stand pattern, Random pattern