Abstract: [Objective] The evolution law of spatial pattern of the forest ecological-economic-social compound system based on spatial network was explored to promote the coordination and sustainable development of ecology, economy and society in Hunan.[Method] The paper adopted the theory of permutation and combination to evaluate the evolution of compound system based on the forest ecology-economy-society evaluation system, and classified according to the grade difference of each subsystem further. On this basis, we used spatial network theory to structure the spatial network that was composed of research units as nodes and the relationships between research units as edges. Then we assigned the edge weight by introducing spatial dependency to describe the position of nodes in local spatial patterns, and used the degree to define the key nodes and the research units that required adjustment. At last, the effective control method for optimizing the spatial pattern of compound system was proposed.[Result] The compound system was dominated by the ecologically dominant type and the relatively ecologically dominant type in Hunan, and showed a trend of diversification and high-level equilibrium development. According to the topological structure, the nodes of simplification and low-level equilibrium had greater influence and function in the spatial network, while the nodes of diversification and high-level equilibrium had less impact. Considering the spatial effect strength, the nodes of simplification and low-level equilibrium had relatively low status in the local spatial pattern and existed improvement space, while the nodes of diversification and high-level equilibrium played a more important role in the local spatial pattern, which had the function of radiation and demonstration.[Conclusion] The nodes of simplification and low-level equilibrium had great influence on the overall spatial pattern, but there was difficulty in the actual regulation. While the nodes of diversification and high-level equilibrium played an important role in the local spatial pattern, but the impact on the overall spatial pattern was relatively small, this was also the realistic problem of the spatial pattern optimization of the forest ecological-economic-social complex system in Hunan. Further studies on spatial networks of the degree and the spatial effect strength in 2015 indicated that under the guidance of the main idea of optimizing the spatial structure, the effective control method was to ensure the key nodes' position and focus on the research unit of existence improvement space in the evolution of compound system(space effect intensity is less than 0.5) and the influence on the overall spatial pattern was larger(node degree value is above 5).

Key words: spatial network, forest ecology-economy-society compound system, spatial pattern, Hunan